Subgroups — C₂×#20288397 #28291998

Order 13568.

9502 conjugacy classes of subgroups.

The subgroup lattice has 2208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288397	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811304	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811303	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811301	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811300	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811299	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811296	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811270	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811267	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811263	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811262	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811262	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811261	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811260	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811248	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811209	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811207	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811183	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811133	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811132	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811131	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811130	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#13133185	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#120×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811096	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811095	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×C₂²⋊C₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂⁵×D₅₃	C₂²	1	1	yes	characteristic
34	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
37	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
38	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
40	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
42	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
43	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
44	#16811304	C₂²	1	16	yes	complemented
45	#16811303	C₂²	1	16	yes	complemented
46	#16811302	C₂²	1	16	yes	complemented
47	#16811302	C₂²	1	16	yes	complemented
48	#16811301	C₂²	1	16	yes	complemented
49	#16811300	C₂²	1	16	yes	complemented
50	#16811299	C₂²	1	16	yes	complemented
51	#16811296	C₂²	1	16	yes	complemented
52	#16811270	C₂²	1	16	yes	complemented
53	#16811267	C₂²	1	16	yes	complemented
54	#16811263	C₂²	1	16	yes	complemented
55	#16811262	C₂²	1	16	yes	complemented
56	#16811262	C₂²	1	16	yes	complemented
57	#16811261	C₂²	1	16	yes	complemented
58	#16811260	C₂²	1	16	yes	complemented
59	#16811248	C₂²	1	16	yes	complemented
60	#16811209	C₂²	1	16	yes	complemented
61	#16811207	C₂²	1	16	yes	complemented
62	#16811205	C₂²	1	16	yes	complemented
63	#16811205	C₂²	1	16	yes	complemented
64	#16811183	C₂²	1	16	yes	complemented
65	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
68	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
69	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
71	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
74	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
80	#16811133	C₂²	1	16	yes	complemented
81	#16811132	C₂²	1	16	yes	complemented
82	#16811131	C₂²	1	16	yes	complemented
83	#16811130	C₂²	1	16	yes	complemented
84	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
112	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
113	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
122	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
123	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
124	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
126	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
127	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13133187	C₂²	1	1	yes	characteristic
131	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
132	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
133	C₂×#13133186	C₂²	1	1	yes	characteristic
134	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
135	C₂×#13133185	C₂²	1	1	yes	characteristic
136	C₂×#13133185	C₂²	1	1	yes	characteristic
137	C₂×#13133185	C₂²	1	1	yes	characteristic
138	C₂×#13133185	C₂²	1	1	yes	characteristic
139	C₂×#13133185	C₂²	1	1	yes	characteristic
140	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
141	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
142	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
146	C₂×#13133185	C₂²	1	16	yes	complemented
147	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
149	#120×D₅₃	C₂²	1	16	yes	complemented
150	#16811096	C₂²	1	16	yes	complemented
151	#16811095	C₂²	1	16	yes	complemented
152	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
153	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
154	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
155	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
156	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
157	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
158	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
159	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
160	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
162	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
163	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
165	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
166	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
167	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
168	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
169	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
171	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
172	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
178	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
180	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
181	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
182	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
184	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₂²×#11719921	C₂²	1	1	yes	characteristic
186	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
188	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
189	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
190	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
191	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
192	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
193	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
196	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
200	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	16	yes	complemented
202	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
204	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
205	C₅₃×#546	C₂²	1	16	yes	complemented
206	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
207	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
209	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
210	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
211	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
212	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic
214	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
217	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₂²⋊C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	—	2	8	no	—
220	C₂⁴×D₅₃	—	4	4	no	—
221	C₂⁴×D₅₃	—	4	4	no	—
222	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
223	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
224	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
225	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
226	C₂⁴×D₅₃	C₂³	1	8	yes	—
227	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
228	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
229	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
230	C₂×#11719945	—	4	4	no	—
231	C₂×#11719945	C₂³	1	8	yes	complemented
232	C₂×#11719947	—	4	4	no	—
233	C₂×#11719947	—	4	4	no	—
234	C₂×#11719947	C₂³	1	8	yes	complemented
235	C₂×#11719947	C₂³	1	8	yes	complemented
236	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
237	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
238	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
239	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
240	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
241	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊D₅₃	—	2	8	no	—
243	C₂²×C₂²⋊D₅₃	—	4	4	no	—
244	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
246	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
248	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
254	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
255	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
256	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
257	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
258	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
259	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
260	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
261	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
262	C₂×D₄×D₅₃	—	2	8	no	—
263	C₂×D₄×D₅₃	—	4	4	no	—
264	C₂×D₄×D₅₃	—	4	4	no	—
265	C₂×D₄×D₅₃	C₂³	1	8	yes	—
266	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
267	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
268	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
269	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
270	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
271	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
272	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
273	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
274	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
275	C₂²×C₄×D₅₃	—	4	4	no	—
276	C₂²×C₄×D₅₃	—	4	4	no	—
277	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
280	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
281	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
283	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
284	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
286	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
287	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
288	C₂²×C₄×D₅₃	C₂³	1	8	yes	complemented
289	C₂²×C₄×D₅₃	C₂³	1	8	yes	complemented
290	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
291	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
292	#13133212	C₂³	1	8	yes	complemented
293	#13133212	C₂³	1	8	yes	complemented
294	#13133212	C₂³	1	8	yes	complemented
295	#13133211	C₂³	1	8	yes	complemented
296	#13133210	C₂³	1	8	yes	complemented
297	#13133210	C₂³	1	8	yes	complemented
298	#13133210	C₂³	1	8	yes	complemented
299	#13133210	C₂³	1	8	yes	complemented
300	#13133206	C₂³	1	8	yes	complemented
301	#13133204	C₂³	1	8	yes	complemented
302	#13133204	C₂³	1	8	yes	complemented
303	#13133203	C₂³	1	8	yes	complemented
304	#13133203	C₂³	1	8	yes	complemented
305	#13133203	C₂³	1	8	yes	complemented
306	#13133203	C₂³	1	8	yes	complemented
307	#13133202	C₂³	1	8	yes	complemented
308	#13133202	C₂³	1	8	yes	complemented
309	#13133201	C₂³	1	8	yes	complemented
310	#13133201	C₂³	1	8	yes	complemented
311	#13133200	C₂³	1	8	yes	complemented
312	#13133200	C₂³	1	8	yes	complemented
313	#13133200	C₂³	1	8	yes	complemented
314	#13133199	C₂³	1	8	yes	complemented
315	#13133199	C₂³	1	8	yes	complemented
316	#13133199	C₂³	1	8	yes	complemented
317	#13133199	C₂³	1	8	yes	complemented
318	#13133199	C₂³	1	8	yes	complemented
319	#13133199	C₂³	1	8	yes	complemented
320	#13133198	C₂³	1	8	yes	complemented
321	#13133198	C₂³	1	8	yes	complemented
322	#13133198	C₂³	1	8	yes	complemented
323	#13133198	C₂³	1	8	yes	complemented
324	#13133198	C₂³	1	8	yes	complemented
325	#13133197	C₂³	1	8	yes	complemented
326	#13133197	C₂³	1	8	yes	complemented
327	#13133196	C₂³	1	8	yes	complemented
328	#13133196	C₂³	1	8	yes	complemented
329	#13133195	C₂³	1	8	yes	complemented
330	#13133195	C₂³	1	8	yes	complemented
331	#13133195	C₂³	1	8	yes	complemented
332	#13133195	C₂³	1	8	yes	complemented
333	#13133195	C₂³	1	8	yes	complemented
334	#13133194	C₂³	1	8	yes	complemented
335	#13133194	C₂³	1	8	yes	complemented
336	#13133194	C₂³	1	8	yes	complemented
337	#13133193	C₂³	1	8	yes	complemented
338	#13133193	C₂³	1	8	yes	complemented
339	#13133193	C₂³	1	8	yes	complemented
340	#13133191	C₂³	1	8	yes	complemented
341	#13133190	C₂³	1	8	yes	complemented
342	#13133190	C₂³	1	8	yes	complemented
343	#13133190	C₂³	1	8	yes	complemented
344	#13133190	C₂³	1	8	yes	complemented
345	#13133189	C₂³	1	8	yes	complemented
346	#13133189	C₂³	1	8	yes	complemented
347	#13133189	C₂³	1	8	yes	complemented
348	#13133189	C₂³	1	8	yes	complemented
349	#13133188	C₂³	1	8	yes	complemented
350	#13133188	C₂³	1	8	yes	complemented
351	#13133188	C₂³	1	8	yes	complemented
352	#13133188	C₂³	1	8	yes	complemented
353	#13133187	C₂³	1	8	yes	—
354	#13133187	C₂³	1	8	yes	complemented
355	#13133187	C₂³	1	8	yes	complemented
356	#13133186	C₂³	1	8	yes	—
357	#13133186	C₂³	1	8	yes	complemented
358	#13133185	C₂³	1	8	yes	—
359	#13133185	C₂³	1	8	yes	—
360	#13133185	C₂³	1	8	yes	—
361	#13133185	C₂³	1	8	yes	—
362	#13133185	C₂³	1	8	yes	—
363	#13133185	C₂³	1	8	yes	complemented
364	#13133185	C₂³	1	8	yes	complemented
365	#13133185	C₂³	1	8	yes	complemented
366	#13133185	C₂³	1	8	yes	complemented
367	#13133185	C₂³	1	8	yes	complemented
368	#13133185	C₂³	1	8	yes	complemented
369	#13133185	C₂³	1	8	yes	complemented
370	#13133185	C₂³	1	8	yes	complemented
371	C₄×D₂₁₂	C₂³	1	8	yes	complemented
372	D₄×Dic₅₃	C₂³	1	8	yes	complemented
373	D₄×Dic₅₃	C₂³	1	8	yes	complemented
374	D₄×Dic₅₃	C₂³	1	8	yes	complemented
375	#13133179	C₂³	1	8	yes	complemented
376	#13133179	C₂³	1	8	yes	complemented
377	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
378	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
379	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
380	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
381	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
382	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
383	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
384	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
385	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
386	#13133177	C₂³	1	8	yes	complemented
387	#13133177	C₂³	1	8	yes	complemented
388	#13133177	C₂³	1	8	yes	complemented
389	#13133177	C₂³	1	8	yes	complemented
390	#13133177	C₂³	1	8	yes	complemented
391	#13133177	C₂³	1	8	yes	complemented
392	#13133177	C₂³	1	8	yes	complemented
393	#13133176	C₂³	1	8	yes	complemented
394	#13133175	C₂³	1	8	yes	complemented
395	#13133175	C₂³	1	8	yes	complemented
396	#13133174	C₂³	1	8	yes	complemented
397	#13133174	C₂³	1	8	yes	complemented
398	#13133173	C₂³	1	8	yes	complemented
399	#13133173	C₂³	1	8	yes	complemented
400	#13133173	C₂³	1	8	yes	complemented
401	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
402	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
403	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
404	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
405	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
406	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
407	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
408	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
409	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
410	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
411	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
412	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
413	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
414	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
415	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
416	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
417	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
418	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
419	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
420	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
421	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
422	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
423	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
424	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
425	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
426	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
427	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
428	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
429	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
430	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
431	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	complemented
433	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	complemented
434	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
435	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
436	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
437	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
438	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
439	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
440	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
441	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	complemented
442	C₂×#11719921	C₂³	1	1	yes	characteristic
443	C₂×#11719921	C₂³	1	1	yes	characteristic
444	C₂×#11719921	C₂³	1	1	yes	characteristic
445	C₂×#11719921	C₂³	1	1	yes	characteristic
446	C₂×#11719921	C₂³	1	1	yes	characteristic
447	C₂×#11719921	C₂³	1	1	yes	characteristic
448	C₂×#11719921	C₂³	1	1	yes	characteristic
449	C₂×#11719921	C₂³	1	1	yes	characteristic
450	C₂×#11719921	C₂³	1	1	yes	characteristic
451	C₂×#11719921	C₂³	1	1	yes	characteristic
452	C₂×#11719921	C₂³	1	1	yes	characteristic
453	C₂×#11719921	C₂³	1	1	yes	characteristic
454	C₂×#11719921	C₂³	1	1	yes	characteristic
455	C₂×#11719921	C₂³	1	1	yes	characteristic
456	C₂×#11719921	C₂³	1	1	yes	characteristic
457	C₂×#11719921	C₂³	1	1	yes	characteristic
458	C₂×#11719921	C₂³	1	1	yes	characteristic
459	C₂×#11719921	C₂³	1	1	yes	characteristic
460	C₂×#11719921	C₂³	1	8	yes	—
461	C₂×#11719921	C₂³	1	1	yes	characteristic
462	C₂×#11719921	C₂³	1	1	yes	characteristic
463	C₂×#11719921	C₂³	1	1	yes	characteristic
464	C₂×#11719921	C₂³	1	1	yes	characteristic
465	C₂×#11719921	C₂³	1	8	yes	complemented
466	C₂×#11719921	C₂³	1	8	yes	complemented
467	C₂×#11719921	C₂³	1	8	yes	complemented
468	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
469	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
470	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
471	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
472	C₂×#11719921	C₂³	1	8	yes	complemented
473	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
474	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
475	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
476	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
477	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
478	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
479	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
480	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
481	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
482	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
483	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
484	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
485	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
486	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
487	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
488	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
489	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
490	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
491	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
492	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
493	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
494	C₂×#41×C₅₃	—	4	4	no	—
495	C₂×#41×C₅₃	C₂³	1	8	yes	complemented
496	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
497	C₂²×D₄×C₅₃	—	4	4	no	—
498	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
499	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
500	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
501	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
502	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
503	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
504	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
505	C₂²×D₄×C₅₃	C₂³	1	8	yes	complemented
506	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
507	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
508	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
509	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
510	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
511	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
512	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
513	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
514	#124×C₅₃	C₂³	1	8	yes	complemented
515	#123×C₅₃	C₂³	1	8	yes	complemented
516	#123×C₅₃	C₂³	1	8	yes	complemented
517	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
518	#121×C₅₃	C₂³	1	8	yes	complemented
519	#121×C₅₃	C₂³	1	8	yes	complemented
520	#121×C₅₃	C₂³	1	8	yes	complemented
521	#120×C₅₃	C₂³	1	8	yes	—
522	#120×C₅₃	C₂³	1	8	yes	complemented
523	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
524	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
525	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
526	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
527	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
528	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
529	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
530	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
531	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
532	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
533	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
534	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
535	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
536	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	complemented
537	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
538	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
539	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
540	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
541	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
542	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	complemented
543	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
544	C₂⁴×C₅₃	—	2	4	no	—
545	C₂⁴×C₅₃	—	2	4	no	—
546	C₂⁴×C₅₃	—	2	4	no	—
547	C₂⁴×C₅₃	—	4	2	no	—
548	C₂⁴×C₅₃	—	4	2	no	—
549	C₂⁴×C₅₃	—	4	2	no	—
550	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
551	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
552	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
554	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
555	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
556	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
557	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
558	C₂³×D₅₃	—	2	4	no	—
559	C₂³×D₅₃	—	2	4	no	—
560	C₂³×D₅₃	—	2	4	no	—
561	C₂³×D₅₃	—	2	4	no	—
562	C₂³×D₅₃	—	2	4	no	—
563	C₂³×D₅₃	—	2	4	no	—
564	C₂³×D₅₃	—	2	4	no	—
565	C₂³×D₅₃	—	2	4	no	—
566	C₂³×D₅₃	—	2	32	no	—
567	C₂³×D₅₃	—	2	4	no	—
568	C₂³×D₅₃	—	2	4	no	—
569	C₂³×D₅₃	—	2	4	no	—
570	C₂³×D₅₃	—	4	16	no	—
571	C₂³×D₅₃	—	4	2	no	—
572	C₂³×D₅₃	—	4	2	no	—
573	C₂³×D₅₃	—	4	2	no	—
574	C₂³×D₅₃	—	4	2	no	—
575	C₂³×D₅₃	—	4	2	no	—
576	C₂³×D₅₃	—	4	16	no	—
577	C₂³×D₅₃	—	4	2	no	—
578	C₂³×D₅₃	—	4	2	no	—
579	C₂³×D₅₃	—	4	2	no	—
580	C₂³×D₅₃	—	4	2	no	—
581	C₂³×D₅₃	—	4	64	no	—
582	C₂³×D₅₃	#41	1	8	yes	complemented
583	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
584	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
585	C₂³×D₅₃	C₂⁴	1	4	yes	—
586	C₂³×D₅₃	C₂⁴	1	4	yes	—
587	C₂³×D₅₃	C₂⁴	1	4	yes	—
588	C₂³×D₅₃	C₂⁴	1	4	yes	—
589	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
590	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
591	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
592	C₂³×D₅₃	C₂⁴	1	4	yes	—
593	C₂³×D₅₃	C₂⁴	1	4	yes	—
594	C₂³×D₅₃	C₂⁴	1	4	yes	—
595	#41×C₅₃	—	4	16	no	—
596	C₂×Q₈×C₅₃	—	4	2	no	—
597	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	complemented
598	C₂×D₄×C₅₃	—	2	4	no	—
599	C₂×D₄×C₅₃	—	2	4	no	—
600	C₂×D₄×C₅₃	—	2	4	no	—
601	C₂×D₄×C₅₃	—	2	4	no	—
602	C₂×D₄×C₅₃	—	4	2	no	—
603	C₂×D₄×C₅₃	—	4	2	no	—
604	C₂×D₄×C₅₃	—	4	2	no	—
605	C₂×D₄×C₅₃	—	4	2	no	—
606	C₂×D₄×C₅₃	—	4	2	no	—
607	C₂×D₄×C₅₃	—	4	16	no	—
608	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
609	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
610	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
611	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
612	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
613	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
614	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
615	C₂×D₄×C₅₃	C₂⁴	1	4	yes	complemented
616	C₂×D₄×C₅₃	C₂⁴	1	4	yes	complemented
617	C₂²×C₄×C₅₃	—	2	4	no	—
618	C₂²×C₄×C₅₃	—	4	2	no	—
619	C₂²×C₄×C₅₃	—	4	2	no	—
620	C₂²×C₄×C₅₃	—	4	2	no	—
621	C₂²×C₄×C₅₃	—	4	2	no	—
622	C₂²×C₄×C₅₃	—	4	2	no	—
623	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
629	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
630	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
631	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
632	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
633	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
634	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
635	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	complemented
636	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	complemented
637	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	complemented
638	C₂×C₂²⋊D₅₃	—	2	4	no	—
639	C₂×C₂²⋊D₅₃	—	2	4	no	—
640	C₂×C₂²⋊D₅₃	—	2	4	no	—
641	C₂×C₂²⋊D₅₃	—	2	4	no	—
642	C₂×C₂²⋊D₅₃	—	2	4	no	—
643	C₂×C₂²⋊D₅₃	—	2	4	no	—
644	C₂×C₂²⋊D₅₃	—	2	4	no	—
645	C₂×C₂²⋊D₅₃	—	2	32	no	—
646	C₂×C₂²⋊D₅₃	—	2	4	no	—
647	C₂×C₂²⋊D₅₃	—	2	4	no	—
648	C₂×C₂²⋊D₅₃	—	2	4	no	—
649	C₂×C₂²⋊D₅₃	—	4	2	no	—
650	C₂×C₂²⋊D₅₃	—	4	2	no	—
651	C₂×C₂²⋊D₅₃	—	4	2	no	—
652	C₂×C₂²⋊D₅₃	—	4	2	no	—
653	C₂×C₂²⋊D₅₃	—	4	2	no	—
654	C₂×C₂²⋊D₅₃	—	4	2	no	—
655	C₂×C₂²⋊D₅₃	—	4	16	no	—
656	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
657	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
658	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
659	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
660	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
661	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
662	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
663	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
664	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
665	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
666	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
667	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
668	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
669	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
670	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	complemented
671	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	complemented
672	C₂²×Dic₅₃	—	2	4	no	—
673	C₂²×Dic₅₃	—	2	4	no	—
674	C₂²×Dic₅₃	—	4	2	no	—
675	C₂²×Dic₅₃	—	4	2	no	—
676	C₂²×Dic₅₃	—	4	2	no	—
677	C₂²×Dic₅₃	—	4	2	no	—
678	C₂²×Dic₅₃	—	4	2	no	—
679	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
680	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
681	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
682	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
683	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
684	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
685	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
686	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
687	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
688	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
689	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
690	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
691	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
692	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
693	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
694	C₂²×Dic₅₃	C₂⁴	1	4	yes	complemented
695	C₂²×Dic₅₃	C₂⁴	1	4	yes	complemented
696	C₂²×Dic₅₃	C₂⁴	1	4	yes	complemented
697	#11719947	—	4	16	no	—
698	#11719947	—	4	16	no	—
699	D₄×D₅₃	—	2	32	no	—
700	D₄×D₅₃	—	4	16	no	—
701	D₄×D₅₃	—	4	16	no	—
702	#11719945	—	4	16	no	—
703	C₂×D₂₁₂	—	2	4	no	—
704	C₂×D₂₁₂	—	2	4	no	—
705	C₂×D₂₁₂	—	4	2	no	—
706	C₂×D₂₁₂	C₂⁴	1	4	yes	—
707	C₂×D₂₁₂	C₂⁴	1	4	yes	—
708	C₂×D₂₁₂	C₂⁴	1	4	yes	—
709	C₂×C₄×D₅₃	—	2	4	no	—
710	C₂×C₄×D₅₃	—	2	4	no	—
711	C₂×C₄×D₅₃	—	2	4	no	—
712	C₂×C₄×D₅₃	—	4	16	no	—
713	C₂×C₄×D₅₃	—	4	2	no	—
714	C₂×C₄×D₅₃	—	4	2	no	—
715	C₂×C₄×D₅₃	—	4	2	no	—
716	C₂×C₄×D₅₃	—	4	2	no	—
717	C₂×C₄×D₅₃	—	4	2	no	—
718	C₂×C₄×D₅₃	—	4	2	no	—
719	C₂×C₄×D₅₃	—	4	16	no	—
720	C₂×C₄×D₅₃	—	4	2	no	—
721	C₂×C₄×D₅₃	—	4	2	no	—
722	C₂×C₄×D₅₃	—	4	2	no	—
723	C₂×C₄×D₅₃	—	4	2	no	—
724	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
725	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
726	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
727	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
728	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
729	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
730	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
731	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
732	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
733	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
734	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
735	C₂×C₄×D₅₃	C₂⁴	1	4	yes	complemented
736	C₂×C₄×D₅₃	C₂⁴	1	4	yes	complemented
737	C₂×Dic₁₀₆	—	4	2	no	—
738	C₂×Dic₁₀₆	—	4	2	no	—
739	C₂×Dic₁₀₆	—	4	2	no	—
740	C₂×Dic₁₀₆	C₂⁴	1	4	yes	complemented
741	C₂×Dic₁₀₆	C₂⁴	1	4	yes	complemented
742	C₂×Dic₁₀₆	C₂⁴	1	4	yes	complemented
743	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
744	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
745	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
746	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
747	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
748	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
749	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
750	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
751	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
752	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
753	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
754	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
755	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
756	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
757	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
758	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	complemented
759	C₄²×C₅₃	C₂⁴	1	4	yes	complemented
760	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
761	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
762	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
763	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
764	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
765	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
766	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
767	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
768	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
769	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
770	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
771	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
772	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
773	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
774	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
775	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
776	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
777	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	complemented
778	#11719921	C₂⁴	1	4	yes	—
779	#11719921	C₂⁴	1	4	yes	—
780	#11719921	C₂⁴	1	4	yes	—
781	#11719921	C₂⁴	1	4	yes	—
782	#11719921	C₂⁴	1	4	yes	—
783	#11719921	C₂⁴	1	4	yes	—
784	#11719921	C₂⁴	1	4	yes	—
785	#11719921	C₂⁴	1	4	yes	—
786	#11719921	C₂⁴	1	4	yes	—
787	#11719921	C₂⁴	1	4	yes	—
788	#11719921	C₂⁴	1	4	yes	—
789	#11719921	C₂⁴	1	4	yes	—
790	#11719921	C₂⁴	1	4	yes	—
791	#11719921	C₂⁴	1	4	yes	—
792	#11719921	C₂⁴	1	4	yes	—
793	#11719921	C₂⁴	1	4	yes	—
794	#11719921	C₂⁴	1	4	yes	—
795	#11719921	C₂⁴	1	4	yes	—
796	#11719921	C₂⁴	1	4	yes	—
797	#11719921	C₂⁴	1	4	yes	—
798	#11719921	C₂⁴	1	4	yes	—
799	#11719921	C₂⁴	1	4	yes	—
800	#11719921	C₂⁴	1	4	yes	complemented
801	#11719921	C₂⁴	1	4	yes	complemented
802	#11719921	C₂⁴	1	4	yes	complemented
803	#11719921	C₂⁴	1	4	yes	complemented
804	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
805	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
806	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
807	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
808	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
809	C₄⋊Dic₅₃	C₂⁴	1	4	yes	complemented
810	#11719919	C₂⁴	1	4	yes	complemented
811	#11719919	C₂⁴	1	4	yes	complemented
812	#11719919	C₂⁴	1	4	yes	complemented
813	#11719919	C₂⁴	1	4	yes	complemented
814	#11719919	C₂⁴	1	4	yes	complemented
815	#11719919	C₂⁴	1	4	yes	complemented
816	#11719919	C₂⁴	1	4	yes	complemented
817	#11719919	C₂⁴	1	4	yes	complemented
818	#11719919	C₂⁴	1	4	yes	complemented
819	#11719919	C₂⁴	1	4	yes	complemented
820	#11719919	C₂⁴	1	4	yes	complemented
821	#11719919	C₂⁴	1	4	yes	complemented
822	#11719919	C₂⁴	1	4	yes	complemented
823	#11719919	C₂⁴	1	4	yes	complemented
824	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
825	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
826	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
827	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
828	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
829	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
830	C₄×Dic₅₃	C₂⁴	1	4	yes	complemented
831	C₂³×C₅₃	—	2	2	no	—
832	C₂³×C₅₃	—	2	2	no	—
833	C₂³×C₅₃	—	2	2	no	—
834	C₂³×C₅₃	—	2	2	no	—
835	C₂³×C₅₃	—	2	2	no	—
836	C₂³×C₅₃	—	2	2	no	—
837	C₂³×C₅₃	—	2	2	no	—
838	C₂³×C₅₃	—	2	8	no	—
839	C₂³×C₅₃	—	2	2	no	—
840	C₂³×C₅₃	—	2	2	no	—
841	C₂³×C₅₃	—	2	2	no	—
842	C₂³×C₅₃	—	2	2	no	—
843	C₂³×C₅₃	—	2	2	no	—
844	C₂³×C₅₃	—	2	2	no	—
845	C₂³×C₅₃	—	2	2	no	—
846	C₂³×C₅₃	—	2	2	no	—
847	C₂³×C₅₃	—	2	8	no	—
848	C₂³×C₅₃	—	2	2	no	—
849	C₂³×C₅₃	—	2	8	no	—
850	C₂³×C₅₃	—	4	4	no	—
851	C₂³×C₅₃	—	4	4	no	—
852	C₂³×C₅₃	—	4	4	no	—
853	C₂³×C₅₃	—	4	16	no	—
854	C₂³×C₅₃	—	8	8	no	—
855	C₂³×C₅₃	C₂×#41	1	4	yes	—
856	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
857	C₂³×C₅₃	C₂⁵	1	2	yes	—
858	C₂³×C₅₃	C₂⁵	1	2	yes	—
859	C₂³×C₅₃	C₂⁵	1	2	yes	—
860	C₂³×C₅₃	C₂⁵	1	2	yes	—
861	C₂³×C₅₃	C₂⁵	1	2	yes	—
862	C₂³×C₅₃	C₂⁵	1	2	yes	—
863	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
864	C₂²×D₅₃	—	2	32	no	—
865	C₂²×D₅₃	—	2	2	no	—
866	C₂²×D₅₃	—	2	2	no	—
867	C₂²×D₅₃	—	2	8	no	—
868	C₂²×D₅₃	—	2	2	no	—
869	C₂²×D₅₃	—	2	2	no	—
870	C₂²×D₅₃	—	2	2	no	—
871	C₂²×D₅₃	—	2	2	no	—
872	C₂²×D₅₃	—	2	8	no	—
873	C₂²×D₅₃	—	2	8	no	—
874	C₂²×D₅₃	—	2	2	no	—
875	C₂²×D₅₃	—	2	8	no	—
876	C₂²×D₅₃	—	2	2	no	—
877	C₂²×D₅₃	—	2	2	no	—
878	C₂²×D₅₃	—	2	2	no	—
879	C₂²×D₅₃	—	2	2	no	—
880	C₂²×D₅₃	—	2	8	no	—
881	C₂²×D₅₃	—	2	2	no	—
882	C₂²×D₅₃	—	2	8	no	—
883	C₂²×D₅₃	—	2	8	no	—
884	C₂²×D₅₃	—	2	8	no	—
885	C₂²×D₅₃	—	2	8	no	—
886	C₂²×D₅₃	—	2	8	no	—
887	C₂²×D₅₃	—	2	8	no	—
888	C₂²×D₅₃	—	4	16	no	—
889	C₂²×D₅₃	—	4	4	no	—
890	C₂²×D₅₃	—	4	4	no	—
891	C₂²×D₅₃	—	4	4	no	—
892	C₂²×D₅₃	—	4	4	no	—
893	C₂²×D₅₃	—	4	4	no	—
894	C₂²×D₅₃	—	4	4	no	—
895	C₂²×D₅₃	—	4	4	no	—
896	C₂²×D₅₃	—	4	16	no	—
897	C₂²×D₅₃	—	4	4	no	—
898	C₂²×D₅₃	—	4	4	no	—
899	C₂²×D₅₃	—	4	16	no	—
900	C₂²×D₅₃	—	4	16	no	—
901	C₂²×D₅₃	—	4	128	no	—
902	C₂²×D₅₃	—	4	16	no	—
903	C₂²×D₅₃	—	8	8	no	—
904	C₂²×D₅₃	C₂×#41	1	4	yes	—
905	C₂²×D₅₃	C₂×#41	1	4	yes	—
906	C₂²×D₅₃	C₂×#41	1	16	yes	complemented
907	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	—
908	C₂²×D₅₃	C₂⁵	1	2	yes	—
909	C₂²×D₅₃	C₂⁵	1	2	yes	—
910	C₂²×D₅₃	C₂⁵	1	2	yes	—
911	C₂²×D₅₃	C₂⁵	1	2	yes	—
912	C₂²×D₅₃	C₂⁵	1	2	yes	—
913	Q₈×C₅₃	—	4	4	no	—
914	D₄×C₅₃	—	2	8	no	—
915	D₄×C₅₃	—	2	8	no	—
916	D₄×C₅₃	—	2	8	no	—
917	D₄×C₅₃	—	2	8	no	—
918	D₄×C₅₃	—	4	4	no	—
919	D₄×C₅₃	—	4	4	no	—
920	D₄×C₅₃	—	4	4	no	—
921	D₄×C₅₃	—	4	4	no	—
922	D₄×C₅₃	—	4	4	no	—
923	C₂×C₄×C₅₃	—	2	2	no	—
924	C₂×C₄×C₅₃	—	2	2	no	—
925	C₂×C₄×C₅₃	—	2	2	no	—
926	C₂×C₄×C₅₃	—	2	2	no	—
927	C₂×C₄×C₅₃	—	2	2	no	—
928	C₂×C₄×C₅₃	—	2	2	no	—
929	C₂×C₄×C₅₃	—	2	2	no	—
930	C₂×C₄×C₅₃	—	2	8	no	—
931	C₂×C₄×C₅₃	—	2	2	no	—
932	C₂×C₄×C₅₃	—	2	2	no	—
933	C₂×C₄×C₅₃	—	4	4	no	—
934	C₂×C₄×C₅₃	—	4	4	no	—
935	C₂×C₄×C₅₃	—	4	4	no	—
936	C₂×C₄×C₅₃	—	4	4	no	—
937	C₂×C₄×C₅₃	—	4	4	no	—
938	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
939	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
940	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
941	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
942	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
943	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
944	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
945	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
946	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
947	C₂²⋊D₅₃	—	2	8	no	—
948	C₂²⋊D₅₃	—	2	8	no	—
949	C₂²⋊D₅₃	—	2	8	no	—
950	C₂²⋊D₅₃	—	2	8	no	—
951	C₂²⋊D₅₃	—	2	8	no	—
952	C₂²⋊D₅₃	—	2	8	no	—
953	C₂²⋊D₅₃	—	2	8	no	—
954	C₂²⋊D₅₃	—	2	8	no	—
955	C₂²⋊D₅₃	—	2	8	no	—
956	C₂²⋊D₅₃	—	2	8	no	—
957	C₂²⋊D₅₃	—	4	4	no	—
958	C₂²⋊D₅₃	—	4	4	no	—
959	C₂²⋊D₅₃	—	4	4	no	—
960	C₂²⋊D₅₃	—	4	4	no	—
961	C₂²⋊D₅₃	—	4	4	no	—
962	C₂²⋊D₅₃	—	4	4	no	—
963	C₂×Dic₅₃	—	2	2	no	—
964	C₂×Dic₅₃	—	2	8	no	—
965	C₂×Dic₅₃	—	2	2	no	—
966	C₂×Dic₅₃	—	2	2	no	—
967	C₂×Dic₅₃	—	2	2	no	—
968	C₂×Dic₅₃	—	2	2	no	—
969	C₂×Dic₅₃	—	2	2	no	—
970	C₂×Dic₅₃	—	2	2	no	—
971	C₂×Dic₅₃	—	2	2	no	—
972	C₂×Dic₅₃	—	2	2	no	—
973	C₂×Dic₅₃	—	2	2	no	—
974	C₂×Dic₅₃	—	2	2	no	—
975	C₂×Dic₅₃	—	2	8	no	—
976	C₂×Dic₅₃	—	4	4	no	—
977	C₂×Dic₅₃	—	4	4	no	—
978	C₂×Dic₅₃	—	4	4	no	—
979	C₂×Dic₅₃	—	4	4	no	—
980	C₂×Dic₅₃	—	4	4	no	—
981	C₂×Dic₅₃	C₂⁵	1	2	yes	—
982	C₂×Dic₅₃	C₂⁵	1	2	yes	—
983	C₂×Dic₅₃	C₂⁵	1	2	yes	—
984	C₂×Dic₅₃	C₂⁵	1	2	yes	—
985	C₂×Dic₅₃	C₂⁵	1	2	yes	—
986	C₂×Dic₅₃	C₂⁵	1	2	yes	—
987	C₂×Dic₅₃	C₂⁵	1	2	yes	—
988	C₂×Dic₅₃	C₂⁵	1	2	yes	—
989	C₂×Dic₅₃	C₂⁵	1	2	yes	—
990	C₂×Dic₅₃	C₂⁵	1	2	yes	—
991	C₂×Dic₅₃	C₂⁵	1	2	yes	—
992	D₂₁₂	—	2	8	no	—
993	D₂₁₂	—	2	8	no	—
994	D₂₁₂	—	4	4	no	—
995	C₄×D₅₃	—	2	8	no	—
996	C₄×D₅₃	—	2	8	no	—
997	C₄×D₅₃	—	2	8	no	—
998	C₄×D₅₃	—	4	4	no	—
999	C₄×D₅₃	—	4	4	no	—
1000	C₄×D₅₃	—	4	4	no	—
1001	C₄×D₅₃	—	4	4	no	—
1002	C₄×D₅₃	—	4	4	no	—
1003	C₄×D₅₃	—	4	4	no	—
1004	C₄×D₅₃	—	4	4	no	—
1005	C₄×D₅₃	—	4	4	no	—
1006	C₄×D₅₃	—	4	4	no	—
1007	C₄×D₅₃	—	4	4	no	—
1008	Dic₁₀₆	—	4	4	no	—
1009	Dic₁₀₆	—	4	4	no	—
1010	Dic₁₀₆	—	4	4	no	—
1011	C₂×#3490	—	53	1	no	maximal, Sylow
1012	C₂²×C₅₃	—	2	2	no	—
1013	C₂²×C₅₃	—	2	2	no	—
1014	C₂²×C₅₃	—	2	2	no	—
1015	C₂²×C₅₃	—	2	2	no	—
1016	C₂²×C₅₃	—	2	8	no	—
1017	C₂²×C₅₃	—	2	8	no	—
1018	C₂²×C₅₃	—	2	2	no	—
1019	C₂²×C₅₃	—	2	2	no	—
1020	C₂²×C₅₃	—	2	2	no	—
1021	C₂²×C₅₃	—	2	2	no	—
1022	C₂²×C₅₃	—	2	2	no	—
1023	C₂²×C₅₃	—	2	2	no	—
1024	C₂²×C₅₃	—	2	2	no	—
1025	C₂²×C₅₃	—	2	2	no	—
1026	C₂²×C₅₃	—	2	2	no	—
1027	C₂²×C₅₃	—	2	2	no	—
1028	C₂²×C₅₃	—	2	2	no	—
1029	C₂²×C₅₃	—	2	2	no	—
1030	C₂²×C₅₃	—	4	16	no	—
1031	C₂²×C₅₃	—	4	4	no	—
1032	C₂²×C₅₃	—	4	4	no	—
1033	C₂²×C₅₃	—	4	4	no	—
1034	C₂²×C₅₃	—	4	4	no	—
1035	C₂²×C₅₃	—	8	8	no	—
1036	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1037	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1038	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1039	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1040	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1041	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1042	C₂×D₅₃	—	2	32	no	—
1043	C₂×D₅₃	—	2	2	no	—
1044	C₂×D₅₃	—	2	2	no	—
1045	C₂×D₅₃	—	2	2	no	—
1046	C₂×D₅₃	—	2	2	no	—
1047	C₂×D₅₃	—	2	2	no	—
1048	C₂×D₅₃	—	2	2	no	—
1049	C₂×D₅₃	—	2	8	no	—
1050	C₂×D₅₃	—	2	8	no	—
1051	C₂×D₅₃	—	2	8	no	—
1052	C₂×D₅₃	—	2	2	no	—
1053	C₂×D₅₃	—	2	2	no	—
1054	C₂×D₅₃	—	2	2	no	—
1055	C₂×D₅₃	—	2	2	no	—
1056	C₂×D₅₃	—	2	2	no	—
1057	C₂×D₅₃	—	2	2	no	—
1058	C₂×D₅₃	—	4	16	no	—
1059	C₂×D₅₃	—	4	16	no	—
1060	C₂×D₅₃	—	4	16	no	—
1061	C₂×D₅₃	—	4	16	no	—
1062	C₂×D₅₃	—	4	16	no	—
1063	C₂×D₅₃	—	4	4	no	—
1064	C₂×D₅₃	—	4	4	no	—
1065	C₂×D₅₃	—	8	8	no	—
1066	C₂×D₅₃	C₂²×#41	1	4	yes	—
1067	C₂×D₅₃	C₂²×#41	1	4	yes	—
1068	C₂×D₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1069	C₄×C₅₃	—	2	2	no	—
1070	C₄×C₅₃	—	2	2	no	—
1071	C₄×C₅₃	—	2	2	no	—
1072	C₄×C₅₃	—	2	2	no	—
1073	C₄×C₅₃	—	2	2	no	—
1074	C₄×C₅₃	—	2	2	no	—
1075	C₄×C₅₃	—	2	2	no	—
1076	C₄×C₅₃	—	2	2	no	—
1077	C₄×C₅₃	—	2	2	no	—
1078	Dic₅₃	—	2	2	no	—
1079	Dic₅₃	—	2	2	no	—
1080	Dic₅₃	—	2	2	no	—
1081	Dic₅₃	—	2	2	no	—
1082	Dic₅₃	—	2	2	no	—
1083	Dic₅₃	—	2	2	no	—
1084	Dic₅₃	—	2	2	no	—
1085	Dic₅₃	—	2	2	no	—
1086	Dic₅₃	—	2	2	no	—
1087	Dic₅₃	—	2	2	no	—
1088	Dic₅₃	—	2	2	no	—
1089	#3490	—	53	32	no	—
1090	C₂×#551	—	53	1	no	—
1091	C₂×#551	—	53	1	no	—
1092	C₂×#551	—	53	1	no	—
1093	C₂×#551	—	53	1	no	—
1094	C₂×#551	—	53	1	no	—
1095	C₂×#551	—	53	1	no	—
1096	C₂×#551	—	53	1	no	—
1097	C₂×#551	—	53	1	no	—
1098	C₂×#546	—	53	1	no	—
1099	C₂×#546	—	53	1	no	—
1100	C₂×#546	—	53	1	no	—
1101	C₂×#546	—	53	1	no	—
1102	C₂×#546	—	53	1	no	—
1103	C₂×#546	—	53	1	no	—
1104	C₂×#546	—	53	1	no	—
1105	C₂×#546	D₅₃	1	1	yes	characteristic, complemented
1106	C₂×#543	—	53	1	no	—
1107	C₂×#538	—	53	1	no	—
1108	C₂×#538	—	53	1	no	—
1109	C₂×#538	—	53	1	no	—
1110	C₂×#538	—	53	1	no	—
1111	C₂×#534	—	53	1	no	—
1112	C₂×#525	—	53	1	no	—
1113	C₂×#525	—	53	1	no	—
1114	C₂×#525	—	53	1	no	—
1115	C₂×#525	—	53	1	no	—
1116	C₂²×#120	—	53	1	no	—
1117	C₂²×#120	—	53	1	no	—
1118	C₂×#518	—	53	1	no	—
1119	C₂×#518	—	53	1	no	—
1120	C₂³×C₂²⋊C₄	—	53	1	no	—
1121	C₂×C₅₃	—	2	4	no	—
1122	C₂×C₅₃	—	2	4	no	—
1123	C₂×C₅₃	—	4	2	no	—
1124	C₂×C₅₃	—	4	2	no	—
1125	C₂×C₅₃	—	4	2	no	—
1126	C₂×C₅₃	—	4	2	no	—
1127	C₂×C₅₃	#3490	1	4	yes	complemented
1128	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1129	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1130	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1131	D₅₃	—	2	4	no	—
1132	D₅₃	—	2	4	no	—
1133	D₅₃	—	2	4	no	—
1134	D₅₃	—	4	2	no	—
1135	D₅₃	—	4	2	no	—
1136	C₂⁶	—	53	1	no	—
1137	C₂²×#41	—	53	1	no	—
1138	C₂²×#41	—	53	1	no	—
1139	C₂²×#41	—	53	1	no	—
1140	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1141	C₂³×D₄	—	53	1	no	—
1142	C₂³×D₄	—	53	1	no	—
1143	C₂³×D₄	—	53	1	no	—
1144	C₂³×D₄	—	53	1	no	—
1145	C₂³×D₄	—	53	1	no	—
1146	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1147	C₂⁴×C₄	—	53	1	no	—
1148	C₂⁴×C₄	—	53	1	no	—
1149	#551	—	53	16	no	—
1150	#551	—	53	16	no	—
1151	#551	—	53	16	no	—
1152	#551	—	53	16	no	—
1153	#551	—	53	16	no	—
1154	#551	—	53	16	no	—
1155	#551	—	53	16	no	—
1156	#551	—	53	16	no	—
1157	#546	—	53	16	no	—
1158	#546	—	53	16	no	—
1159	#546	—	53	16	no	—
1160	#546	—	53	16	no	—
1161	#546	—	53	16	no	—
1162	#546	—	53	16	no	—
1163	#546	—	53	16	no	—
1164	#546	C₂×D₅₃	1	16	yes	complemented
1165	#543	—	53	16	no	—
1166	#538	—	53	16	no	—
1167	#538	—	53	16	no	—
1168	#538	—	53	16	no	—
1169	#538	—	53	16	no	—
1170	#534	—	53	16	no	—
1171	C₂×#126	—	53	1	no	—
1172	C₂×#126	—	53	1	no	—
1173	C₂×#126	—	53	1	no	—
1174	C₂×#126	—	53	1	no	—
1175	C₂×#126	—	53	1	no	—
1176	C₂×#126	—	53	1	no	—
1177	C₂×#126	—	53	1	no	—
1178	C₂×#126	—	53	1	no	—
1179	C₂×#124	—	53	1	no	—
1180	C₂×#124	—	53	1	no	—
1181	C₂×#124	—	53	1	no	—
1182	C₂×#124	—	53	1	no	—
1183	C₂×#124	—	53	1	no	—
1184	C₂×#124	—	53	1	no	—
1185	C₂×#124	—	53	1	no	—
1186	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1187	#525	—	53	16	no	—
1188	#525	—	53	16	no	—
1189	#525	—	53	16	no	—
1190	#525	—	53	16	no	—
1191	C₂×#123	—	53	1	no	—
1192	C₂×#123	—	53	1	no	—
1193	C₂×#123	—	53	1	no	—
1194	C₂×#123	—	53	1	no	—
1195	C₂×#123	—	53	1	no	—
1196	C₂×#123	—	53	1	no	—
1197	C₂×#123	—	53	1	no	—
1198	C₂×#123	—	53	1	no	—
1199	C₂×#123	—	53	1	no	—
1200	C₂×#123	—	53	1	no	—
1201	C₂×#123	—	53	1	no	—
1202	C₂×#123	—	53	1	no	—
1203	C₂×#123	—	53	1	no	—
1204	C₂×#123	—	53	1	no	—
1205	C₂×#123	—	53	1	no	—
1206	C₂×#123	—	53	1	no	—
1207	C₂×#123	—	53	1	no	—
1208	C₂×#123	—	53	1	no	—
1209	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1210	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1211	C₂×C₂²⋊Q₈	—	53	1	no	—
1212	C₂×C₂²⋊Q₈	—	53	1	no	—
1213	C₂×C₂²⋊Q₈	—	53	1	no	—
1214	C₂×C₂²⋊Q₈	—	53	1	no	—
1215	C₂×C₂²⋊Q₈	—	53	1	no	—
1216	C₂×C₂²⋊Q₈	—	53	1	no	—
1217	C₂×C₂²⋊Q₈	—	53	1	no	—
1218	C₂×C₂²⋊Q₈	—	53	1	no	—
1219	C₂×C₂²⋊Q₈	—	53	1	no	—
1220	C₂×C₂²⋊Q₈	—	53	1	no	—
1221	C₂×C₂²⋊Q₈	—	53	1	no	—
1222	C₂×C₂²⋊Q₈	—	53	1	no	—
1223	C₂×C₂²⋊Q₈	—	53	1	no	—
1224	C₂×C₂²⋊Q₈	—	53	1	no	—
1225	C₂×C₂²⋊Q₈	—	53	1	no	—
1226	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1227	C₂×#121	—	53	1	no	—
1228	C₂×#121	—	53	1	no	—
1229	C₂×#121	—	53	1	no	—
1230	C₂×#121	—	53	1	no	—
1231	C₂×#121	—	53	1	no	—
1232	C₂×#121	—	53	1	no	—
1233	C₂×#121	—	53	1	no	—
1234	C₂×#121	—	53	1	no	—
1235	C₂×#121	—	53	1	no	—
1236	C₂×#121	—	53	1	no	—
1237	C₂×#121	—	53	1	no	—
1238	C₂×#121	—	53	1	no	—
1239	C₂×#121	—	53	1	no	—
1240	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1241	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1242	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1243	C₂×#120	—	53	1	no	—
1244	C₂×#120	—	53	1	no	—
1245	C₂×#120	—	53	1	no	—
1246	C₂×#120	—	53	1	no	—
1247	C₂×#120	—	53	1	no	—
1248	C₂×#120	—	53	1	no	—
1249	C₂×#120	—	53	1	no	—
1250	C₂×#120	—	53	1	no	—
1251	C₂×#120	—	53	1	no	—
1252	C₂×#120	—	53	1	no	—
1253	C₂×#120	—	53	1	no	—
1254	C₂×#120	—	53	1	no	—
1255	C₂×#120	—	53	1	no	—
1256	C₂×#120	—	53	16	no	—
1257	C₂×#120	—	53	1	no	—
1258	C₂×#120	—	53	1	no	—
1259	C₂×#120	—	53	16	no	—
1260	C₂×#120	—	53	1	no	—
1261	C₂×#120	—	53	1	no	—
1262	C₂×#120	—	53	1	no	—
1263	C₂×#120	C₂×D₅₃	1	1	yes	characteristic
1264	C₂×#120	C₂×D₅₃	1	1	yes	characteristic, complemented
1265	#518	—	53	16	no	—
1266	#518	—	53	16	no	—
1267	C₂×C₄×D₄	—	53	1	no	—
1268	C₂×C₄×D₄	—	53	1	no	—
1269	C₂×C₄×D₄	—	53	1	no	—
1270	C₂×C₄×D₄	—	53	1	no	—
1271	C₂×C₄×D₄	—	53	1	no	—
1272	C₂×C₄×D₄	—	53	1	no	—
1273	C₂×C₄×D₄	—	53	1	no	—
1274	C₂×C₄×D₄	—	53	1	no	—
1275	C₂×C₄×D₄	—	53	1	no	—
1276	C₂×C₄×D₄	—	53	1	no	—
1277	C₂×C₄×D₄	—	53	1	no	—
1278	C₂×C₄×D₄	—	53	1	no	—
1279	C₂×C₄×D₄	—	53	1	no	—
1280	C₂×C₄×D₄	—	53	1	no	—
1281	C₂×C₄×D₄	—	53	1	no	—
1282	C₂×C₄×D₄	—	53	1	no	—
1283	C₂×C₄×D₄	—	53	1	no	—
1284	C₂×C₄×D₄	—	53	1	no	—
1285	C₂×C₄×D₄	—	53	1	no	—
1286	C₂×C₄×D₄	—	53	1	no	—
1287	C₂×C₄×D₄	—	53	1	no	—
1288	C₂×C₄×D₄	—	53	1	no	—
1289	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1290	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1291	C₂×#117	—	53	1	no	—
1292	C₂×#117	—	53	1	no	—
1293	C₂×#117	—	53	1	no	—
1294	C₂×#117	—	53	1	no	—
1295	C₂×#117	—	53	1	no	—
1296	C₂×#117	—	53	1	no	—
1297	C₂×#117	—	53	1	no	—
1298	C₂×#117	—	53	1	no	—
1299	C₂²×C₂²⋊C₄	—	53	1	no	—
1300	C₂²×C₂²⋊C₄	—	53	1	no	—
1301	C₂²×C₂²⋊C₄	—	53	1	no	—
1302	C₂²×C₂²⋊C₄	—	53	1	no	—
1303	C₂²×C₂²⋊C₄	—	53	1	no	—
1304	C₂²×C₂²⋊C₄	—	53	1	no	—
1305	C₂²×C₂²⋊C₄	—	53	1	no	—
1306	C₂²×C₂²⋊C₄	—	53	1	no	—
1307	C₂²×C₂²⋊C₄	—	53	1	no	—
1308	C₂²×C₂²⋊C₄	—	53	1	no	—
1309	C₂²×C₂²⋊C₄	—	53	1	no	—
1310	C₂²×C₂²⋊C₄	—	53	1	no	—
1311	C₂²×C₂²⋊C₄	—	53	1	no	—
1312	C₂²×C₂²⋊C₄	—	53	1	no	—
1313	C₂²×C₂²⋊C₄	—	53	1	no	—
1314	C₂²×C₂²⋊C₄	—	53	1	no	—
1315	C₂²×C₂²⋊C₄	—	53	1	no	—
1316	C₂²×C₂²⋊C₄	—	53	1	no	—
1317	C₂²×C₂²⋊C₄	—	53	1	no	—
1318	C₂²×C₂²⋊C₄	—	53	16	no	—
1319	C₂²×C₂²⋊C₄	—	53	1	no	—
1320	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1321	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1322	C₅₃	C₂×#3490	1	1	yes	characteristic, complemented, Sylow
1323	C₂⁵	—	53	1	no	—
1324	C₂⁵	—	53	1	no	—
1325	C₂⁵	—	53	1	no	—
1326	C₂⁵	—	53	1	no	—
1327	C₂⁵	—	53	1	no	—
1328	C₂⁵	—	53	1	no	—
1329	C₂⁵	—	53	8	no	—
1330	C₂⁵	—	53	1	no	—
1331	C₂⁵	—	106	8	no	—
1332	C₂⁵	—	212	4	no	—
1333	C₂⁵	—	212	4	no	—
1334	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1335	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1336	C₂×#41	—	4	4	no	—
1337	C₂×#41	—	53	8	no	—
1338	C₂×#41	—	53	8	no	—
1339	C₂×#41	—	53	8	no	—
1340	C₂×#41	—	212	4	no	—
1341	C₂×#41	—	212	4	no	—
1342	C₂×#41	—	212	4	no	—
1343	C₂×#41	C₂²×D₅₃	1	8	yes	complemented
1344	C₂²×Q₈	—	53	1	no	—
1345	C₂²×Q₈	—	53	1	no	—
1346	C₂²×Q₈	—	53	1	no	—
1347	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1348	C₂²×D₄	—	4	4	no	—
1349	C₂²×D₄	—	53	1	no	—
1350	C₂²×D₄	—	53	1	no	—
1351	C₂²×D₄	—	53	1	no	—
1352	C₂²×D₄	—	53	1	no	—
1353	C₂²×D₄	—	53	1	no	—
1354	C₂²×D₄	—	53	1	no	—
1355	C₂²×D₄	—	53	1	no	—
1356	C₂²×D₄	—	53	1	no	—
1357	C₂²×D₄	—	53	1	no	—
1358	C₂²×D₄	—	53	1	no	—
1359	C₂²×D₄	—	53	8	no	—
1360	C₂²×D₄	—	53	1	no	—
1361	C₂²×D₄	—	53	1	no	—
1362	C₂²×D₄	—	53	1	no	—
1363	C₂²×D₄	—	53	1	no	—
1364	C₂²×D₄	—	53	1	no	—
1365	C₂²×D₄	—	53	1	no	—
1366	C₂²×D₄	—	53	8	no	—
1367	C₂²×D₄	—	53	8	no	—
1368	C₂²×D₄	—	53	8	no	—
1369	C₂²×D₄	—	53	8	no	—
1370	C₂²×D₄	—	53	1	no	—
1371	C₂²×D₄	—	53	1	no	—
1372	C₂²×D₄	—	53	1	no	—
1373	C₂²×D₄	—	106	8	no	—
1374	C₂²×D₄	—	106	8	no	—
1375	C₂²×D₄	—	212	4	no	—
1376	C₂²×D₄	—	212	4	no	—
1377	C₂²×D₄	—	212	4	no	—
1378	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1379	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1380	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1381	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1382	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1383	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1384	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1385	C₂²×D₄	C₂²×D₅₃	1	8	yes	complemented
1386	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1387	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1388	C₂³×C₄	—	53	1	no	—
1389	C₂³×C₄	—	53	1	no	—
1390	C₂³×C₄	—	53	1	no	—
1391	C₂³×C₄	—	53	1	no	—
1392	C₂³×C₄	—	53	1	no	—
1393	C₂³×C₄	—	53	1	no	—
1394	C₂³×C₄	—	53	1	no	—
1395	C₂³×C₄	—	53	1	no	—
1396	C₂³×C₄	—	53	1	no	—
1397	C₂³×C₄	—	53	1	no	—
1398	C₂³×C₄	—	53	1	no	—
1399	C₂³×C₄	—	53	1	no	—
1400	C₂³×C₄	—	53	1	no	—
1401	C₂³×C₄	—	53	1	no	—
1402	C₂³×C₄	—	53	1	no	—
1403	C₂³×C₄	—	53	1	no	—
1404	C₂³×C₄	—	53	1	no	—
1405	C₂³×C₄	—	53	1	no	—
1406	C₂³×C₄	—	53	8	no	—
1407	C₂³×C₄	—	53	8	no	—
1408	C₂³×C₄	—	53	1	no	—
1409	C₂³×C₄	—	53	1	no	—
1410	C₂³×C₄	—	212	4	no	—
1411	C₂³×C₄	—	212	4	no	—
1412	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1413	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1414	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1415	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1416	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1417	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1418	#126	—	53	8	no	—
1419	#126	—	53	8	no	—
1420	#126	—	53	8	no	—
1421	#126	—	53	8	no	—
1422	#126	—	53	8	no	—
1423	#126	—	53	8	no	—
1424	#126	—	53	8	no	—
1425	#126	—	53	8	no	—
1426	#124	—	53	8	no	—
1427	#124	—	53	8	no	—
1428	#124	—	53	8	no	—
1429	#124	—	53	8	no	—
1430	#124	—	53	8	no	—
1431	#124	—	53	8	no	—
1432	#124	—	53	8	no	—
1433	#124	C₂²×D₅₃	1	8	yes	complemented
1434	#123	—	53	8	no	—
1435	#123	—	53	8	no	—
1436	#123	—	53	8	no	—
1437	#123	—	53	8	no	—
1438	#123	—	53	8	no	—
1439	#123	—	53	8	no	—
1440	#123	—	53	8	no	—
1441	#123	—	53	8	no	—
1442	#123	—	53	8	no	—
1443	#123	—	53	8	no	—
1444	#123	—	53	8	no	—
1445	#123	—	53	8	no	—
1446	#123	—	53	8	no	—
1447	#123	—	53	8	no	—
1448	#123	—	53	8	no	—
1449	#123	—	53	8	no	—
1450	#123	—	53	8	no	—
1451	#123	—	53	8	no	—
1452	#123	C₂²×D₅₃	1	8	yes	complemented
1453	#123	C₂²×D₅₃	1	8	yes	complemented
1454	C₂²⋊Q₈	—	53	8	no	—
1455	C₂²⋊Q₈	—	53	8	no	—
1456	C₂²⋊Q₈	—	53	8	no	—
1457	C₂²⋊Q₈	—	53	8	no	—
1458	C₂²⋊Q₈	—	53	8	no	—
1459	C₂²⋊Q₈	—	53	8	no	—
1460	C₂²⋊Q₈	—	53	8	no	—
1461	C₂²⋊Q₈	—	53	8	no	—
1462	C₂²⋊Q₈	—	53	8	no	—
1463	C₂²⋊Q₈	—	53	8	no	—
1464	C₂²⋊Q₈	—	53	8	no	—
1465	C₂²⋊Q₈	—	53	8	no	—
1466	C₂²⋊Q₈	—	53	8	no	—
1467	C₂²⋊Q₈	—	53	8	no	—
1468	C₂²⋊Q₈	—	53	8	no	—
1469	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1470	#121	—	53	8	no	—
1471	#121	—	53	8	no	—
1472	#121	—	53	8	no	—
1473	#121	—	53	8	no	—
1474	#121	—	53	8	no	—
1475	#121	—	53	8	no	—
1476	#121	—	53	8	no	—
1477	#121	—	53	8	no	—
1478	#121	—	53	8	no	—
1479	#121	—	53	8	no	—
1480	#121	—	53	8	no	—
1481	#121	—	53	8	no	—
1482	#121	—	53	8	no	—
1483	#121	C₂²×D₅₃	1	8	yes	complemented
1484	#121	C₂²×D₅₃	1	8	yes	complemented
1485	#121	C₂²×D₅₃	1	8	yes	complemented
1486	#120	—	53	8	no	—
1487	#120	—	53	8	no	—
1488	#120	—	53	8	no	—
1489	#120	—	53	8	no	—
1490	#120	—	53	8	no	—
1491	#120	—	53	8	no	—
1492	#120	—	53	8	no	—
1493	#120	—	53	8	no	—
1494	#120	—	53	8	no	—
1495	#120	—	53	8	no	—
1496	#120	—	53	8	no	—
1497	#120	—	53	8	no	—
1498	#120	—	53	8	no	—
1499	#120	—	53	8	no	—
1500	#120	—	53	8	no	—
1501	#120	—	53	8	no	—
1502	#120	—	53	8	no	—
1503	#120	—	53	8	no	—
1504	#120	C₂²×D₅₃	1	8	yes	—
1505	#120	C₂²×D₅₃	1	8	yes	complemented
1506	C₄×D₄	—	53	8	no	—
1507	C₄×D₄	—	53	8	no	—
1508	C₄×D₄	—	53	8	no	—
1509	C₄×D₄	—	53	8	no	—
1510	C₄×D₄	—	53	8	no	—
1511	C₄×D₄	—	53	8	no	—
1512	C₄×D₄	—	53	8	no	—
1513	C₄×D₄	—	53	8	no	—
1514	C₄×D₄	—	53	8	no	—
1515	C₄×D₄	—	53	8	no	—
1516	C₄×D₄	—	53	8	no	—
1517	C₄×D₄	—	53	8	no	—
1518	C₄×D₄	—	53	8	no	—
1519	C₄×D₄	—	53	8	no	—
1520	C₄×D₄	—	53	8	no	—
1521	C₄×D₄	—	53	8	no	—
1522	C₄×D₄	—	53	8	no	—
1523	C₄×D₄	—	53	8	no	—
1524	C₄×D₄	—	53	8	no	—
1525	C₄×D₄	—	53	8	no	—
1526	C₄×D₄	—	53	8	no	—
1527	C₄×D₄	—	53	8	no	—
1528	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1529	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1530	#117	—	53	8	no	—
1531	#117	—	53	8	no	—
1532	#117	—	53	8	no	—
1533	#117	—	53	8	no	—
1534	#117	—	53	8	no	—
1535	#117	—	53	8	no	—
1536	#117	—	53	8	no	—
1537	#117	—	53	8	no	—
1538	C₂×C₄⋊C₄	—	53	1	no	—
1539	C₂×C₄⋊C₄	—	53	1	no	—
1540	C₂×C₄⋊C₄	—	53	1	no	—
1541	C₂×C₄⋊C₄	—	53	1	no	—
1542	C₂×C₄⋊C₄	—	53	1	no	—
1543	C₂×C₄⋊C₄	—	53	1	no	—
1544	C₂×C₄⋊C₄	—	53	1	no	—
1545	C₂×C₄⋊C₄	—	53	1	no	—
1546	C₂×C₄⋊C₄	—	53	1	no	—
1547	C₂×C₄⋊C₄	—	53	1	no	—
1548	C₂×C₄⋊C₄	—	53	1	no	—
1549	C₂×C₄⋊C₄	—	53	1	no	—
1550	C₂×C₄⋊C₄	—	53	1	no	—
1551	C₂×C₄⋊C₄	—	53	1	no	—
1552	C₂×C₄⋊C₄	—	53	1	no	—
1553	C₂×C₄⋊C₄	—	53	1	no	—
1554	C₂×C₄⋊C₄	—	53	1	no	—
1555	C₂×C₄⋊C₄	—	53	1	no	—
1556	C₂×C₄⋊C₄	—	53	1	no	—
1557	C₂×C₄⋊C₄	—	53	1	no	—
1558	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1559	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1560	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1561	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1562	C₂×C₂²⋊C₄	—	53	1	no	—
1563	C₂×C₂²⋊C₄	—	53	1	no	—
1564	C₂×C₂²⋊C₄	—	53	1	no	—
1565	C₂×C₂²⋊C₄	—	53	1	no	—
1566	C₂×C₂²⋊C₄	—	53	8	no	—
1567	C₂×C₂²⋊C₄	—	53	1	no	—
1568	C₂×C₂²⋊C₄	—	53	1	no	—
1569	C₂×C₂²⋊C₄	—	53	1	no	—
1570	C₂×C₂²⋊C₄	—	53	1	no	—
1571	C₂×C₂²⋊C₄	—	53	1	no	—
1572	C₂×C₂²⋊C₄	—	53	1	no	—
1573	C₂×C₂²⋊C₄	—	53	1	no	—
1574	C₂×C₂²⋊C₄	—	53	8	no	—
1575	C₂×C₂²⋊C₄	—	53	1	no	—
1576	C₂×C₂²⋊C₄	—	53	1	no	—
1577	C₂×C₂²⋊C₄	—	53	1	no	—
1578	C₂×C₂²⋊C₄	—	53	8	no	—
1579	C₂×C₂²⋊C₄	—	53	1	no	—
1580	C₂×C₂²⋊C₄	—	53	1	no	—
1581	C₂×C₂²⋊C₄	—	53	1	no	—
1582	C₂×C₂²⋊C₄	—	53	1	no	—
1583	C₂×C₂²⋊C₄	—	53	1	no	—
1584	C₂×C₂²⋊C₄	—	53	1	no	—
1585	C₂×C₂²⋊C₄	—	53	1	no	—
1586	C₂×C₂²⋊C₄	—	53	1	no	—
1587	C₂×C₂²⋊C₄	—	53	1	no	—
1588	C₂×C₂²⋊C₄	—	53	1	no	—
1589	C₂×C₂²⋊C₄	—	53	1	no	—
1590	C₂×C₂²⋊C₄	—	53	1	no	—
1591	C₂×C₂²⋊C₄	—	53	8	no	—
1592	C₂×C₂²⋊C₄	—	53	8	no	—
1593	C₂×C₂²⋊C₄	—	53	1	no	—
1594	C₂×C₂²⋊C₄	—	53	1	no	—
1595	C₂×C₂²⋊C₄	—	53	1	no	—
1596	C₂×C₂²⋊C₄	—	53	1	no	—
1597	C₂×C₂²⋊C₄	—	53	1	no	—
1598	C₂×C₂²⋊C₄	—	53	1	no	—
1599	C₂×C₂²⋊C₄	—	53	1	no	—
1600	C₂×C₂²⋊C₄	—	53	1	no	—
1601	C₂×C₂²⋊C₄	—	53	1	no	—
1602	C₂×C₂²⋊C₄	—	53	1	no	—
1603	C₂×C₂²⋊C₄	—	53	1	no	—
1604	C₂×C₂²⋊C₄	—	53	1	no	—
1605	C₂×C₂²⋊C₄	—	53	8	no	—
1606	C₂×C₂²⋊C₄	—	53	1	no	—
1607	C₂×C₂²⋊C₄	—	53	1	no	—
1608	C₂×C₂²⋊C₄	—	53	1	no	—
1609	C₂×C₂²⋊C₄	—	53	1	no	—
1610	C₂×C₂²⋊C₄	—	53	8	no	—
1611	C₂×C₂²⋊C₄	—	53	1	no	—
1612	C₂×C₂²⋊C₄	—	53	1	no	—
1613	C₂×C₂²⋊C₄	—	53	8	no	—
1614	C₂×C₂²⋊C₄	—	53	8	no	—
1615	C₂×C₂²⋊C₄	—	53	8	no	—
1616	C₂×C₂²⋊C₄	—	53	8	no	—
1617	C₂×C₂²⋊C₄	—	53	8	no	—
1618	C₂×C₂²⋊C₄	—	53	8	no	—
1619	C₂×C₂²⋊C₄	—	53	8	no	—
1620	C₂×C₂²⋊C₄	—	53	8	no	—
1621	C₂×C₂²⋊C₄	—	53	8	no	—
1622	C₂×C₂²⋊C₄	—	53	8	no	—
1623	C₂×C₂²⋊C₄	—	53	8	no	—
1624	C₂×C₂²⋊C₄	—	53	8	no	—
1625	C₂×C₂²⋊C₄	—	53	8	no	—
1626	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1627	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1628	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1629	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1630	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1631	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1632	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1633	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1634	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1635	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1636	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1637	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1638	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1639	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1640	C₂×C₄²	—	53	1	no	—
1641	C₂×C₄²	—	53	1	no	—
1642	C₂×C₄²	—	53	1	no	—
1643	C₂×C₄²	—	53	1	no	—
1644	C₂×C₄²	—	53	1	no	—
1645	C₂×C₄²	—	53	1	no	—
1646	C₂×C₄²	—	53	1	no	—
1647	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
1648	C₂⁴	—	2	4	no	—
1649	C₂⁴	—	2	4	no	—
1650	C₂⁴	—	2	4	no	—
1651	C₂⁴	—	4	2	no	—
1652	C₂⁴	—	4	2	no	—
1653	C₂⁴	—	4	2	no	—
1654	C₂⁴	—	53	1	no	—
1655	C₂⁴	—	53	1	no	—
1656	C₂⁴	—	53	1	no	—
1657	C₂⁴	—	53	8	no	—
1658	C₂⁴	—	53	4	no	—
1659	C₂⁴	—	53	4	no	—
1660	C₂⁴	—	53	1	no	—
1661	C₂⁴	—	53	1	no	—
1662	C₂⁴	—	53	4	no	—
1663	C₂⁴	—	53	4	no	—
1664	C₂⁴	—	53	4	no	—
1665	C₂⁴	—	53	4	no	—
1666	C₂⁴	—	53	4	no	—
1667	C₂⁴	—	106	4	no	—
1668	C₂⁴	—	106	4	no	—
1669	C₂⁴	—	106	4	no	—
1670	C₂⁴	—	106	4	no	—
1671	C₂⁴	—	106	4	no	—
1672	C₂⁴	—	106	4	no	—
1673	C₂⁴	—	106	4	no	—
1674	C₂⁴	—	106	4	no	—
1675	C₂⁴	—	106	32	no	—
1676	C₂⁴	—	106	4	no	—
1677	C₂⁴	—	106	4	no	—
1678	C₂⁴	—	106	4	no	—
1679	C₂⁴	—	212	2	no	—
1680	C₂⁴	—	212	2	no	—
1681	C₂⁴	—	212	2	no	—
1682	C₂⁴	—	212	2	no	—
1683	C₂⁴	—	212	2	no	—
1684	C₂⁴	—	212	2	no	—
1685	C₂⁴	—	212	2	no	—
1686	C₂⁴	—	212	2	no	—
1687	C₂⁴	—	212	16	no	—
1688	C₂⁴	—	212	2	no	—
1689	C₂⁴	—	212	16	no	—
1690	C₂⁴	—	212	64	no	—
1691	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1692	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1693	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1694	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1695	C₂⁴	C₂³×D₅₃	1	4	yes	—
1696	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1697	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1698	C₂⁴	C₂³×D₅₃	1	4	yes	—
1699	#41	—	4	16	no	—
1700	#41	—	212	16	no	—
1701	#41	—	212	16	no	—
1702	#41	—	212	16	no	—
1703	C₂×Q₈	—	4	2	no	—
1704	C₂×Q₈	—	53	4	no	—
1705	C₂×Q₈	—	53	4	no	—
1706	C₂×Q₈	—	53	4	no	—
1707	C₂×Q₈	—	212	2	no	—
1708	C₂×Q₈	—	212	2	no	—
1709	C₂×Q₈	—	212	2	no	—
1710	C₂×Q₈	C₂³×D₅₃	1	4	yes	complemented
1711	C₂×D₄	—	2	4	no	—
1712	C₂×D₄	—	2	4	no	—
1713	C₂×D₄	—	2	4	no	—
1714	C₂×D₄	—	2	4	no	—
1715	C₂×D₄	—	4	2	no	—
1716	C₂×D₄	—	4	2	no	—
1717	C₂×D₄	—	4	2	no	—
1718	C₂×D₄	—	4	2	no	—
1719	C₂×D₄	—	4	2	no	—
1720	C₂×D₄	—	4	16	no	—
1721	C₂×D₄	—	53	4	no	—
1722	C₂×D₄	—	53	4	no	—
1723	C₂×D₄	—	53	4	no	—
1724	C₂×D₄	—	53	4	no	—
1725	C₂×D₄	—	53	4	no	—
1726	C₂×D₄	—	53	4	no	—
1727	C₂×D₄	—	53	4	no	—
1728	C₂×D₄	—	53	4	no	—
1729	C₂×D₄	—	53	4	no	—
1730	C₂×D₄	—	53	4	no	—
1731	C₂×D₄	—	53	4	no	—
1732	C₂×D₄	—	53	4	no	—
1733	C₂×D₄	—	53	4	no	—
1734	C₂×D₄	—	53	4	no	—
1735	C₂×D₄	—	53	4	no	—
1736	C₂×D₄	—	53	4	no	—
1737	C₂×D₄	—	53	4	no	—
1738	C₂×D₄	—	53	4	no	—
1739	C₂×D₄	—	53	4	no	—
1740	C₂×D₄	—	106	4	no	—
1741	C₂×D₄	—	106	4	no	—
1742	C₂×D₄	—	106	32	no	—
1743	C₂×D₄	—	106	4	no	—
1744	C₂×D₄	—	106	4	no	—
1745	C₂×D₄	—	106	4	no	—
1746	C₂×D₄	—	106	4	no	—
1747	C₂×D₄	—	106	4	no	—
1748	C₂×D₄	—	106	32	no	—
1749	C₂×D₄	—	106	4	no	—
1750	C₂×D₄	—	106	4	no	—
1751	C₂×D₄	—	106	4	no	—
1752	C₂×D₄	—	106	4	no	—
1753	C₂×D₄	—	106	4	no	—
1754	C₂×D₄	—	212	2	no	—
1755	C₂×D₄	—	212	2	no	—
1756	C₂×D₄	—	212	2	no	—
1757	C₂×D₄	—	212	2	no	—
1758	C₂×D₄	—	212	2	no	—
1759	C₂×D₄	—	212	2	no	—
1760	C₂×D₄	—	212	2	no	—
1761	C₂×D₄	—	212	16	no	—
1762	C₂×D₄	—	212	16	no	—
1763	C₂×D₄	—	212	16	no	—
1764	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1765	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1766	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1767	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1768	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1769	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1770	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1771	C₂×D₄	C₂³×D₅₃	1	4	yes	complemented
1772	C₂×D₄	C₂³×D₅₃	1	4	yes	complemented
1773	C₂²×C₄	—	2	4	no	—
1774	C₂²×C₄	—	4	2	no	—
1775	C₂²×C₄	—	4	2	no	—
1776	C₂²×C₄	—	4	2	no	—
1777	C₂²×C₄	—	4	2	no	—
1778	C₂²×C₄	—	4	2	no	—
1779	C₂²×C₄	—	53	4	no	—
1780	C₂²×C₄	—	53	4	no	—
1781	C₂²×C₄	—	53	1	no	—
1782	C₂²×C₄	—	53	1	no	—
1783	C₂²×C₄	—	53	1	no	—
1784	C₂²×C₄	—	53	1	no	—
1785	C₂²×C₄	—	53	1	no	—
1786	C₂²×C₄	—	53	1	no	—
1787	C₂²×C₄	—	53	1	no	—
1788	C₂²×C₄	—	53	1	no	—
1789	C₂²×C₄	—	53	1	no	—
1790	C₂²×C₄	—	53	1	no	—
1791	C₂²×C₄	—	53	1	no	—
1792	C₂²×C₄	—	53	4	no	—
1793	C₂²×C₄	—	53	4	no	—
1794	C₂²×C₄	—	53	4	no	—
1795	C₂²×C₄	—	53	4	no	—
1796	C₂²×C₄	—	53	4	no	—
1797	C₂²×C₄	—	53	4	no	—
1798	C₂²×C₄	—	53	4	no	—
1799	C₂²×C₄	—	53	4	no	—
1800	C₂²×C₄	—	53	4	no	—
1801	C₂²×C₄	—	53	4	no	—
1802	C₂²×C₄	—	53	4	no	—
1803	C₂²×C₄	—	53	4	no	—
1804	C₂²×C₄	—	53	4	no	—
1805	C₂²×C₄	—	53	4	no	—
1806	C₂²×C₄	—	53	4	no	—
1807	C₂²×C₄	—	53	4	no	—
1808	C₂²×C₄	—	53	4	no	—
1809	C₂²×C₄	—	53	4	no	—
1810	C₂²×C₄	—	106	4	no	—
1811	C₂²×C₄	—	106	4	no	—
1812	C₂²×C₄	—	106	4	no	—
1813	C₂²×C₄	—	106	4	no	—
1814	C₂²×C₄	—	106	4	no	—
1815	C₂²×C₄	—	212	2	no	—
1816	C₂²×C₄	—	212	2	no	—
1817	C₂²×C₄	—	212	2	no	—
1818	C₂²×C₄	—	212	2	no	—
1819	C₂²×C₄	—	212	2	no	—
1820	C₂²×C₄	—	212	2	no	—
1821	C₂²×C₄	—	212	16	no	—
1822	C₂²×C₄	—	212	2	no	—
1823	C₂²×C₄	—	212	2	no	—
1824	C₂²×C₄	—	212	2	no	—
1825	C₂²×C₄	—	212	2	no	—
1826	C₂²×C₄	—	212	16	no	—
1827	C₂²×C₄	—	212	2	no	—
1828	C₂²×C₄	—	212	2	no	—
1829	C₂²×C₄	—	212	2	no	—
1830	C₂²×C₄	—	212	2	no	—
1831	C₂²×C₄	—	212	2	no	—
1832	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1833	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1834	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1835	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1836	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1837	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1838	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1839	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1840	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1841	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1842	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1843	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1844	C₂²×C₄	C₂³×D₅₃	1	4	yes	complemented
1845	C₂²×C₄	C₂³×D₅₃	1	4	yes	complemented
1846	C₂²×C₄	C₂³×D₅₃	1	4	yes	complemented
1847	C₄⋊C₄	—	53	4	no	—
1848	C₄⋊C₄	—	53	4	no	—
1849	C₄⋊C₄	—	53	4	no	—
1850	C₄⋊C₄	—	53	4	no	—
1851	C₄⋊C₄	—	53	4	no	—
1852	C₄⋊C₄	—	53	4	no	—
1853	C₄⋊C₄	—	53	4	no	—
1854	C₄⋊C₄	—	53	4	no	—
1855	C₄⋊C₄	—	53	4	no	—
1856	C₄⋊C₄	—	53	4	no	—
1857	C₄⋊C₄	—	53	4	no	—
1858	C₄⋊C₄	—	53	4	no	—
1859	C₄⋊C₄	—	53	4	no	—
1860	C₄⋊C₄	—	53	4	no	—
1861	C₄⋊C₄	—	53	4	no	—
1862	C₄⋊C₄	—	53	4	no	—
1863	C₄⋊C₄	—	53	4	no	—
1864	C₄⋊C₄	—	53	4	no	—
1865	C₄⋊C₄	—	53	4	no	—
1866	C₄⋊C₄	—	53	4	no	—
1867	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1868	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1869	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1870	C₄⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1871	C₂²⋊C₄	—	53	4	no	—
1872	C₂²⋊C₄	—	53	4	no	—
1873	C₂²⋊C₄	—	53	4	no	—
1874	C₂²⋊C₄	—	53	4	no	—
1875	C₂²⋊C₄	—	53	4	no	—
1876	C₂²⋊C₄	—	53	4	no	—
1877	C₂²⋊C₄	—	53	4	no	—
1878	C₂²⋊C₄	—	53	4	no	—
1879	C₂²⋊C₄	—	53	4	no	—
1880	C₂²⋊C₄	—	53	4	no	—
1881	C₂²⋊C₄	—	53	4	no	—
1882	C₂²⋊C₄	—	53	4	no	—
1883	C₂²⋊C₄	—	53	4	no	—
1884	C₂²⋊C₄	—	53	4	no	—
1885	C₂²⋊C₄	—	53	4	no	—
1886	C₂²⋊C₄	—	53	4	no	—
1887	C₂²⋊C₄	—	53	4	no	—
1888	C₂²⋊C₄	—	53	4	no	—
1889	C₂²⋊C₄	—	53	4	no	—
1890	C₂²⋊C₄	—	53	4	no	—
1891	C₂²⋊C₄	—	53	4	no	—
1892	C₂²⋊C₄	—	53	4	no	—
1893	C₂²⋊C₄	—	53	4	no	—
1894	C₂²⋊C₄	—	53	4	no	—
1895	C₂²⋊C₄	—	53	4	no	—
1896	C₂²⋊C₄	—	53	4	no	—
1897	C₂²⋊C₄	—	53	4	no	—
1898	C₂²⋊C₄	—	53	4	no	—
1899	C₂²⋊C₄	—	53	4	no	—
1900	C₂²⋊C₄	—	53	4	no	—
1901	C₂²⋊C₄	—	53	4	no	—
1902	C₂²⋊C₄	—	53	4	no	—
1903	C₂²⋊C₄	—	53	4	no	—
1904	C₂²⋊C₄	—	53	4	no	—
1905	C₂²⋊C₄	—	53	4	no	—
1906	C₂²⋊C₄	—	53	4	no	—
1907	C₂²⋊C₄	—	53	4	no	—
1908	C₂²⋊C₄	—	53	4	no	—
1909	C₂²⋊C₄	—	53	4	no	—
1910	C₂²⋊C₄	—	53	4	no	—
1911	C₂²⋊C₄	—	53	4	no	—
1912	C₂²⋊C₄	—	53	4	no	—
1913	C₂²⋊C₄	—	53	4	no	—
1914	C₂²⋊C₄	—	53	4	no	—
1915	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1916	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1917	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1918	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1919	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1920	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1921	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1922	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1923	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1924	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1925	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1926	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	complemented
1927	C₄²	—	53	4	no	—
1928	C₄²	—	53	4	no	—
1929	C₄²	—	53	4	no	—
1930	C₄²	—	53	4	no	—
1931	C₄²	—	53	4	no	—
1932	C₄²	—	53	4	no	—
1933	C₄²	—	53	4	no	—
1934	C₄²	C₂³×D₅₃	1	4	yes	complemented
1935	C₂³	—	2	2	no	—
1936	C₂³	—	2	2	no	—
1937	C₂³	—	2	2	no	—
1938	C₂³	—	2	2	no	—
1939	C₂³	—	2	2	no	—
1940	C₂³	—	2	2	no	—
1941	C₂³	—	2	2	no	—
1942	C₂³	—	2	8	no	—
1943	C₂³	—	2	2	no	—
1944	C₂³	—	2	2	no	—
1945	C₂³	—	2	2	no	—
1946	C₂³	—	2	2	no	—
1947	C₂³	—	2	2	no	—
1948	C₂³	—	2	2	no	—
1949	C₂³	—	2	2	no	—
1950	C₂³	—	2	2	no	—
1951	C₂³	—	2	8	no	—
1952	C₂³	—	2	2	no	—
1953	C₂³	—	2	8	no	—
1954	C₂³	—	4	4	no	—
1955	C₂³	—	4	4	no	—
1956	C₂³	—	4	4	no	—
1957	C₂³	—	4	16	no	—
1958	C₂³	—	8	8	no	—
1959	C₂³	—	53	4	no	—
1960	C₂³	—	53	4	no	—
1961	C₂³	—	53	4	no	—
1962	C₂³	—	53	2	no	—
1963	C₂³	—	53	2	no	—
1964	C₂³	—	53	2	no	—
1965	C₂³	—	53	16	no	—
1966	C₂³	—	53	2	no	—
1967	C₂³	—	53	2	no	—
1968	C₂³	—	106	8	no	—
1969	C₂³	—	106	8	no	—
1970	C₂³	—	106	8	no	—
1971	C₂³	—	106	8	no	—
1972	C₂³	—	106	8	no	—
1973	C₂³	—	106	8	no	—
1974	C₂³	—	106	8	no	—
1975	C₂³	—	106	8	no	—
1976	C₂³	—	106	32	no	—
1977	C₂³	—	106	2	no	—
1978	C₂³	—	106	2	no	—
1979	C₂³	—	106	2	no	—
1980	C₂³	—	106	8	no	—
1981	C₂³	—	106	2	no	—
1982	C₂³	—	106	2	no	—
1983	C₂³	—	106	2	no	—
1984	C₂³	—	106	2	no	—
1985	C₂³	—	106	8	no	—
1986	C₂³	—	106	2	no	—
1987	C₂³	—	106	2	no	—
1988	C₂³	—	106	2	no	—
1989	C₂³	—	106	2	no	—
1990	C₂³	—	106	8	no	—
1991	C₂³	—	106	2	no	—
1992	C₂³	—	424	8	no	—
1993	C₂³	—	212	4	no	—
1994	C₂³	—	212	4	no	—
1995	C₂³	—	212	16	no	—
1996	C₂³	—	212	4	no	—
1997	C₂³	—	212	4	no	—
1998	C₂³	—	212	4	no	—
1999	C₂³	—	212	4	no	—
2000	C₂³	—	212	4	no	—
2001	C₂³	—	212	4	no	—
2002	C₂³	—	212	4	no	—
2003	C₂³	—	212	16	no	—
2004	C₂³	—	212	16	no	—
2005	C₂³	—	212	16	no	—
2006	C₂³	—	212	128	no	—
2007	C₂³	—	212	16	no	—
2008	C₂³	#41×D₅₃	1	4	yes	—
2009	C₂³	#13133262	1	4	yes	—
2010	C₂³	C₂⁴×D₅₃	1	2	yes	—
2011	C₂³	C₂⁴×D₅₃	1	2	yes	—
2012	C₂³	C₂⁴×D₅₃	1	2	yes	—
2013	C₂³	C₂⁴×D₅₃	1	2	yes	—
2014	C₂³	C₂⁴×D₅₃	1	2	yes	—
2015	C₂³	C₂⁴×D₅₃	1	2	yes	—
2016	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2017	Q₈	—	4	4	no	—
2018	Q₈	—	212	4	no	—
2019	Q₈	—	212	4	no	—
2020	Q₈	—	212	4	no	—
2021	D₄	—	2	8	no	—
2022	D₄	—	2	8	no	—
2023	D₄	—	2	8	no	—
2024	D₄	—	2	8	no	—
2025	D₄	—	4	4	no	—
2026	D₄	—	4	4	no	—
2027	D₄	—	4	4	no	—
2028	D₄	—	4	4	no	—
2029	D₄	—	4	4	no	—
2030	D₄	—	106	8	no	—
2031	D₄	—	106	8	no	—
2032	D₄	—	106	8	no	—
2033	D₄	—	106	8	no	—
2034	D₄	—	106	8	no	—
2035	D₄	—	106	8	no	—
2036	D₄	—	106	8	no	—
2037	D₄	—	106	8	no	—
2038	D₄	—	106	8	no	—
2039	D₄	—	106	8	no	—
2040	D₄	—	106	8	no	—
2041	D₄	—	106	8	no	—
2042	D₄	—	212	4	no	—
2043	D₄	—	212	4	no	—
2044	D₄	—	212	4	no	—
2045	D₄	—	212	4	no	—
2046	D₄	—	212	4	no	—
2047	D₄	—	212	4	no	—
2048	D₄	—	212	4	no	—
2049	C₂×C₄	—	2	2	no	—
2050	C₂×C₄	—	2	2	no	—
2051	C₂×C₄	—	2	2	no	—
2052	C₂×C₄	—	2	2	no	—
2053	C₂×C₄	—	2	2	no	—
2054	C₂×C₄	—	2	2	no	—
2055	C₂×C₄	—	2	8	no	—
2056	C₂×C₄	—	2	2	no	—
2057	C₂×C₄	—	2	2	no	—
2058	C₂×C₄	—	2	2	no	—
2059	C₂×C₄	—	4	4	no	—
2060	C₂×C₄	—	4	4	no	—
2061	C₂×C₄	—	4	4	no	—
2062	C₂×C₄	—	4	4	no	—
2063	C₂×C₄	—	4	4	no	—
2064	C₂×C₄	—	53	2	no	—
2065	C₂×C₄	—	53	2	no	—
2066	C₂×C₄	—	53	2	no	—
2067	C₂×C₄	—	53	2	no	—
2068	C₂×C₄	—	53	2	no	—
2069	C₂×C₄	—	53	2	no	—
2070	C₂×C₄	—	53	2	no	—
2071	C₂×C₄	—	53	2	no	—
2072	C₂×C₄	—	53	2	no	—
2073	C₂×C₄	—	53	2	no	—
2074	C₂×C₄	—	53	2	no	—
2075	C₂×C₄	—	106	8	no	—
2076	C₂×C₄	—	106	8	no	—
2077	C₂×C₄	—	106	8	no	—
2078	C₂×C₄	—	106	8	no	—
2079	C₂×C₄	—	106	2	no	—
2080	C₂×C₄	—	106	2	no	—
2081	C₂×C₄	—	106	2	no	—
2082	C₂×C₄	—	106	2	no	—
2083	C₂×C₄	—	106	2	no	—
2084	C₂×C₄	—	106	2	no	—
2085	C₂×C₄	—	106	2	no	—
2086	C₂×C₄	—	106	2	no	—
2087	C₂×C₄	—	106	2	no	—
2088	C₂×C₄	—	106	2	no	—
2089	C₂×C₄	—	106	8	no	—
2090	C₂×C₄	—	106	2	no	—
2091	C₂×C₄	—	212	4	no	—
2092	C₂×C₄	—	212	4	no	—
2093	C₂×C₄	—	212	4	no	—
2094	C₂×C₄	—	212	4	no	—
2095	C₂×C₄	—	212	4	no	—
2096	C₂×C₄	—	212	4	no	—
2097	C₂×C₄	—	212	4	no	—
2098	C₂×C₄	—	212	4	no	—
2099	C₂×C₄	—	212	4	no	—
2100	C₂×C₄	—	212	4	no	—
2101	C₂×C₄	—	212	4	no	—
2102	C₂×C₄	—	212	4	no	—
2103	C₂×C₄	—	212	4	no	—
2104	C₂×C₄	—	212	4	no	—
2105	C₂×C₄	—	212	4	no	—
2106	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2107	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2108	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2109	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2110	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2111	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2112	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2113	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2114	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2115	C₂²	—	2	8	no	—
2116	C₂²	—	2	8	no	—
2117	C₂²	—	2	2	no	—
2118	C₂²	—	2	2	no	—
2119	C₂²	—	2	2	no	—
2120	C₂²	—	2	2	no	—
2121	C₂²	—	2	2	no	—
2122	C₂²	—	2	2	no	—
2123	C₂²	—	2	2	no	—
2124	C₂²	—	2	2	no	—
2125	C₂²	—	2	2	no	—
2126	C₂²	—	2	2	no	—
2127	C₂²	—	2	2	no	—
2128	C₂²	—	2	2	no	—
2129	C₂²	—	2	2	no	—
2130	C₂²	—	2	2	no	—
2131	C₂²	—	2	2	no	—
2132	C₂²	—	2	2	no	—
2133	C₂²	—	4	16	no	—
2134	C₂²	—	4	4	no	—
2135	C₂²	—	4	4	no	—
2136	C₂²	—	4	4	no	—
2137	C₂²	—	4	4	no	—
2138	C₂²	—	8	8	no	—
2139	C₂²	—	53	4	no	—
2140	C₂²	—	53	4	no	—
2141	C₂²	—	53	4	no	—
2142	C₂²	—	106	32	no	—
2143	C₂²	—	106	8	no	—
2144	C₂²	—	106	8	no	—
2145	C₂²	—	106	8	no	—
2146	C₂²	—	106	2	no	—
2147	C₂²	—	106	2	no	—
2148	C₂²	—	106	2	no	—
2149	C₂²	—	106	2	no	—
2150	C₂²	—	106	2	no	—
2151	C₂²	—	106	2	no	—
2152	C₂²	—	106	2	no	—
2153	C₂²	—	106	2	no	—
2154	C₂²	—	106	2	no	—
2155	C₂²	—	106	2	no	—
2156	C₂²	—	106	2	no	—
2157	C₂²	—	106	2	no	—
2158	C₂²	—	424	8	no	—
2159	C₂²	—	212	16	no	—
2160	C₂²	—	212	16	no	—
2161	C₂²	—	212	16	no	—
2162	C₂²	—	212	16	no	—
2163	C₂²	—	212	16	no	—
2164	C₂²	—	212	4	no	—
2165	C₂²	—	212	4	no	—
2166	C₂²	C₂×#41×D₅₃	1	4	yes	—
2167	C₂²	C₂×#41×D₅₃	1	2	yes	—
2168	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2169	C₂²	C₂×#13133262	1	4	yes	—
2170	C₂²	C₂×#13133262	1	2	yes	—
2171	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2172	C₄	—	2	2	no	—
2173	C₄	—	2	2	no	—
2174	C₄	—	2	2	no	—
2175	C₄	—	2	2	no	—
2176	C₄	—	2	2	no	—
2177	C₄	—	2	2	no	—
2178	C₄	—	2	2	no	—
2179	C₄	—	2	2	no	—
2180	C₄	—	2	2	no	—
2181	C₄	—	106	2	no	—
2182	C₄	—	106	2	no	—
2183	C₄	—	106	2	no	—
2184	C₄	—	106	2	no	—
2185	C₄	—	106	2	no	—
2186	C₄	—	106	2	no	—
2187	C₄	—	106	2	no	—
2188	C₄	—	106	2	no	—
2189	C₄	—	106	2	no	—
2190	C₄	—	106	2	no	—
2191	C₄	—	106	2	no	—
2192	C₂	—	2	4	no	—
2193	C₂	—	2	4	no	—
2194	C₂	—	4	2	no	—
2195	C₂	—	4	2	no	—
2196	C₂	—	4	2	no	—
2197	C₂	—	4	2	no	—
2198	C₂	—	106	4	no	—
2199	C₂	—	106	4	no	—
2200	C₂	—	106	4	no	—
2201	C₂	—	212	2	no	—
2202	C₂	—	212	2	no	—
2203	C₂	#20288397	1	4	yes	direct product factor
2204	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2205	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2206	C₂	C₂²×#13133262	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#546	C₂
socle	C₂³×C₅₃	C₂⁵
hypercenter	C₂×#546	D₅₃
hypocenter	C₅₃	C₂×#3490
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288397	C₂	direct (N × H)
2. C₂×#16811304	C₂	semidirect
3. C₂×#16811303	C₂	semidirect
4. C₂×#16811302	C₂	semidirect
5. C₂×#16811302	C₂	semidirect
6. C₂×#16811301	C₂	semidirect
7. C₂×#16811300	C₂	semidirect
8. C₂×#16811299	C₂	semidirect
9. C₂×#16811296	C₂	semidirect
10. C₂×#16811270	C₂	semidirect
11. C₂×#16811267	C₂	semidirect
12. C₂×#16811263	C₂	semidirect
13. C₂×#16811262	C₂	semidirect
14. C₂×#16811262	C₂	semidirect
15. C₂×#16811261	C₂	semidirect
16. C₂×#16811260	C₂	semidirect
17. C₂×#16811248	C₂	semidirect
18. C₂×#16811209	C₂	semidirect
19. C₂×#16811207	C₂	semidirect
20. C₂×#16811205	C₂	semidirect
21. C₂×#16811205	C₂	semidirect
22. C₂×#16811183	C₂	semidirect
23. C₂×#16811133	C₂	semidirect
24. C₂×#16811132	C₂	semidirect
25. C₂×#16811131	C₂	semidirect
26. C₂×#16811130	C₂	semidirect
27. C₂²×#13133185	C₂	semidirect
28. C₂×#120×D₅₃	C₂	semidirect
29. C₂×#16811096	C₂	semidirect
30. C₂×#16811095	C₂	semidirect
31. C₂²×C₂²⋊C₄×D₅₃	C₂	semidirect
32. C₂×C₅₃×#546	C₂	semidirect
34. C₂²×#11719945	C₂²	semidirect
35. C₂²×#11719947	C₂²	semidirect
36. C₂²×#11719947	C₂²	semidirect
38. C₂³×C₂²⋊D₅₃	C₂²	semidirect
40. C₂²×D₄×D₅₃	C₂²	semidirect
41. C₂²×D₄×D₅₃	C₂²	semidirect
42. C₂³×C₄×D₅₃	C₂²	semidirect
43. C₂³×C₄×D₅₃	C₂²	semidirect
44. #16811304	C₂²	semidirect
45. #16811303	C₂²	semidirect
46. #16811302	C₂²	semidirect
47. #16811302	C₂²	semidirect
48. #16811301	C₂²	semidirect
49. #16811300	C₂²	semidirect
50. #16811299	C₂²	semidirect
51. #16811296	C₂²	semidirect
52. #16811270	C₂²	semidirect
53. #16811267	C₂²	semidirect
54. #16811263	C₂²	semidirect
55. #16811262	C₂²	semidirect
56. #16811262	C₂²	semidirect
57. #16811261	C₂²	semidirect
58. #16811260	C₂²	semidirect
59. #16811248	C₂²	semidirect
60. #16811209	C₂²	semidirect
61. #16811207	C₂²	semidirect
62. #16811205	C₂²	semidirect
63. #16811205	C₂²	semidirect
64. #16811183	C₂²	semidirect
65. C₂×#13133212	C₂²	semidirect
66. C₂×#13133212	C₂²	semidirect
67. C₂×#13133212	C₂²	semidirect
68. C₂×#13133211	C₂²	semidirect
69. C₂×#13133210	C₂²	semidirect
70. C₂×#13133210	C₂²	semidirect
71. C₂×#13133210	C₂²	semidirect
72. C₂×#13133210	C₂²	semidirect
73. C₂×#13133206	C₂²	semidirect
74. C₂×#13133204	C₂²	semidirect
75. C₂×#13133204	C₂²	semidirect
76. C₂×#13133203	C₂²	semidirect
77. C₂×#13133203	C₂²	semidirect
78. C₂×#13133203	C₂²	semidirect
79. C₂×#13133203	C₂²	semidirect
80. #16811133	C₂²	semidirect
81. #16811132	C₂²	semidirect
82. #16811131	C₂²	semidirect
83. #16811130	C₂²	semidirect
84. C₂×#13133202	C₂²	semidirect
85. C₂×#13133202	C₂²	semidirect
86. C₂×#13133201	C₂²	semidirect
87. C₂×#13133201	C₂²	semidirect
88. C₂×#13133200	C₂²	semidirect
89. C₂×#13133200	C₂²	semidirect
90. C₂×#13133200	C₂²	semidirect
91. C₂×#13133199	C₂²	semidirect
92. C₂×#13133199	C₂²	semidirect
93. C₂×#13133199	C₂²	semidirect
94. C₂×#13133199	C₂²	semidirect
95. C₂×#13133199	C₂²	semidirect
96. C₂×#13133199	C₂²	semidirect
97. C₂×#13133198	C₂²	semidirect
98. C₂×#13133198	C₂²	semidirect
99. C₂×#13133198	C₂²	semidirect
100. C₂×#13133198	C₂²	semidirect
101. C₂×#13133198	C₂²	semidirect
102. C₂×#13133197	C₂²	semidirect
103. C₂×#13133197	C₂²	semidirect
104. C₂×#13133196	C₂²	semidirect
105. C₂×#13133196	C₂²	semidirect
106. C₂×#13133195	C₂²	semidirect
107. C₂×#13133195	C₂²	semidirect
108. C₂×#13133195	C₂²	semidirect
109. C₂×#13133195	C₂²	semidirect
110. C₂×#13133195	C₂²	semidirect
111. C₂×#13133194	C₂²	semidirect
112. C₂×#13133194	C₂²	semidirect
113. C₂×#13133194	C₂²	semidirect
114. C₂×#13133193	C₂²	semidirect
115. C₂×#13133193	C₂²	semidirect
116. C₂×#13133193	C₂²	semidirect
117. C₂×#13133191	C₂²	semidirect
118. C₂×#13133190	C₂²	semidirect
119. C₂×#13133190	C₂²	semidirect
120. C₂×#13133190	C₂²	semidirect
121. C₂×#13133190	C₂²	semidirect
122. C₂×#13133189	C₂²	semidirect
123. C₂×#13133189	C₂²	semidirect
124. C₂×#13133189	C₂²	semidirect
125. C₂×#13133189	C₂²	semidirect
126. C₂×#13133188	C₂²	semidirect
127. C₂×#13133188	C₂²	semidirect
128. C₂×#13133188	C₂²	semidirect
129. C₂×#13133188	C₂²	semidirect
131. C₂×#13133187	C₂²	semidirect
132. C₂×#13133187	C₂²	semidirect
134. C₂×#13133186	C₂²	semidirect
140. C₂×#13133185	C₂²	semidirect
141. C₂×#13133185	C₂²	semidirect
142. C₂×#13133185	C₂²	semidirect
143. C₂×#13133185	C₂²	semidirect
144. C₂×#13133185	C₂²	semidirect
145. C₂×#13133185	C₂²	semidirect
146. C₂×#13133185	C₂²	semidirect
147. C₂×#13133185	C₂²	semidirect
148. C₂×#13133185	C₂²	semidirect
149. #120×D₅₃	C₂²	semidirect
150. #16811096	C₂²	semidirect
151. #16811095	C₂²	semidirect
152. C₂×C₄×D₂₁₂	C₂²	semidirect
153. C₂×D₄×Dic₅₃	C₂²	semidirect
154. C₂×D₄×Dic₅₃	C₂²	semidirect
155. C₂×D₄×Dic₅₃	C₂²	semidirect
156. C₂×#13133179	C₂²	semidirect
157. C₂×#13133179	C₂²	semidirect
158. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
159. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
160. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
161. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
162. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
163. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
164. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
165. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
166. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
167. C₂×#13133177	C₂²	semidirect
168. C₂×#13133177	C₂²	semidirect
169. C₂×#13133177	C₂²	semidirect
170. C₂×#13133177	C₂²	semidirect
171. C₂×#13133177	C₂²	semidirect
172. C₂×#13133177	C₂²	semidirect
173. C₂×#13133177	C₂²	semidirect
174. C₂×#13133176	C₂²	semidirect
175. C₂×#13133175	C₂²	semidirect
176. C₂×#13133175	C₂²	semidirect
177. C₂×#13133174	C₂²	semidirect
178. C₂×#13133174	C₂²	semidirect
179. C₂×#13133173	C₂²	semidirect
180. C₂×#13133173	C₂²	semidirect
181. C₂×#13133173	C₂²	semidirect
182. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
183. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
184. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
186. C₂²×#11719921	C₂²	semidirect
187. C₂²×#11719921	C₂²	semidirect
188. C₂²×#11719921	C₂²	semidirect
189. C₂²×#11719921	C₂²	semidirect
193. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
194. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
195. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
196. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
197. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
198. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
199. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
200. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
201. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
202. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
203. C₂²×#41×C₅₃	C₂²	semidirect
204. C₂³×D₄×C₅₃	C₂²	semidirect
205. C₅₃×#546	C₂²	semidirect
206. C₂×#124×C₅₃	C₂²	semidirect
207. C₂×#123×C₅₃	C₂²	semidirect
208. C₂×#123×C₅₃	C₂²	semidirect
209. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
210. C₂×#121×C₅₃	C₂²	semidirect
211. C₂×#121×C₅₃	C₂²	semidirect
212. C₂×#121×C₅₃	C₂²	semidirect
214. C₂×#120×C₅₃	C₂²	semidirect
215. C₂×C₄×D₄×C₅₃	C₂²	semidirect
216. C₂×C₄×D₄×C₅₃	C₂²	semidirect
217. C₂²×C₂²⋊C₄×C₅₃	C₂²	semidirect
218. C₂²×C₂²⋊C₄×C₅₃	C₂²	semidirect
231. C₂×#11719945	C₂³	semidirect
234. C₂×#11719947	C₂³	semidirect
235. C₂×#11719947	C₂³	semidirect
236. C₂²×Dic₁₀₆	C₂³	semidirect
237. C₂²×Dic₁₀₆	C₂³	semidirect
238. C₂²×Dic₁₀₆	C₂³	semidirect
259. C₂²×C₂²⋊D₅₃	C₂³	semidirect
260. C₂²×C₂²⋊D₅₃	C₂³	semidirect
261. C₂²×C₂²⋊D₅₃	C₂³	semidirect
266. C₂×D₄×D₅₃	C₂³	semidirect
267. C₂×D₄×D₅₃	C₂³	semidirect
272. C₂³×Dic₅₃	C₂³	semidirect
273. C₂³×Dic₅₃	C₂³	semidirect
274. C₂³×Dic₅₃	C₂³	semidirect
288. C₂²×C₄×D₅₃	C₂³	semidirect
289. C₂²×C₄×D₅₃	C₂³	semidirect
290. C₂²×C₄×D₅₃	C₂³	semidirect
291. C₂²×C₄×D₅₃	C₂³	semidirect
292. #13133212	C₂³	semidirect
293. #13133212	C₂³	semidirect
294. #13133212	C₂³	semidirect
295. #13133211	C₂³	semidirect
296. #13133210	C₂³	semidirect
297. #13133210	C₂³	semidirect
298. #13133210	C₂³	semidirect
299. #13133210	C₂³	semidirect
300. #13133206	C₂³	semidirect
301. #13133204	C₂³	semidirect
302. #13133204	C₂³	semidirect
303. #13133203	C₂³	semidirect
304. #13133203	C₂³	semidirect
305. #13133203	C₂³	semidirect
306. #13133203	C₂³	semidirect
307. #13133202	C₂³	semidirect
308. #13133202	C₂³	semidirect
309. #13133201	C₂³	semidirect
310. #13133201	C₂³	semidirect
311. #13133200	C₂³	semidirect
312. #13133200	C₂³	semidirect
313. #13133200	C₂³	semidirect
314. #13133199	C₂³	semidirect
315. #13133199	C₂³	semidirect
316. #13133199	C₂³	semidirect
317. #13133199	C₂³	semidirect
318. #13133199	C₂³	semidirect
319. #13133199	C₂³	semidirect
320. #13133198	C₂³	semidirect
321. #13133198	C₂³	semidirect
322. #13133198	C₂³	semidirect
323. #13133198	C₂³	semidirect
324. #13133198	C₂³	semidirect
325. #13133197	C₂³	semidirect
326. #13133197	C₂³	semidirect
327. #13133196	C₂³	semidirect
328. #13133196	C₂³	semidirect
329. #13133195	C₂³	semidirect
330. #13133195	C₂³	semidirect
331. #13133195	C₂³	semidirect
332. #13133195	C₂³	semidirect
333. #13133195	C₂³	semidirect
334. #13133194	C₂³	semidirect
335. #13133194	C₂³	semidirect
336. #13133194	C₂³	semidirect
337. #13133193	C₂³	semidirect
338. #13133193	C₂³	semidirect
339. #13133193	C₂³	semidirect
340. #13133191	C₂³	semidirect
341. #13133190	C₂³	semidirect
342. #13133190	C₂³	semidirect
343. #13133190	C₂³	semidirect
344. #13133190	C₂³	semidirect
345. #13133189	C₂³	semidirect
346. #13133189	C₂³	semidirect
347. #13133189	C₂³	semidirect
348. #13133189	C₂³	semidirect
349. #13133188	C₂³	semidirect
350. #13133188	C₂³	semidirect
351. #13133188	C₂³	semidirect
352. #13133188	C₂³	semidirect
354. #13133187	C₂³	semidirect
355. #13133187	C₂³	semidirect
357. #13133186	C₂³	semidirect
363. #13133185	C₂³	semidirect
364. #13133185	C₂³	semidirect
365. #13133185	C₂³	semidirect
366. #13133185	C₂³	semidirect
367. #13133185	C₂³	semidirect
368. #13133185	C₂³	semidirect
369. #13133185	C₂³	semidirect
370. #13133185	C₂³	semidirect
371. C₄×D₂₁₂	C₂³	semidirect
372. D₄×Dic₅₃	C₂³	semidirect
373. D₄×Dic₅₃	C₂³	semidirect
374. D₄×Dic₅₃	C₂³	semidirect
375. #13133179	C₂³	semidirect
376. #13133179	C₂³	semidirect
377. C₄×C₂²⋊D₅₃	C₂³	semidirect
378. C₄×C₂²⋊D₅₃	C₂³	semidirect
379. C₄×C₂²⋊D₅₃	C₂³	semidirect
380. C₄×C₂²⋊D₅₃	C₂³	semidirect
381. C₄×C₂²⋊D₅₃	C₂³	semidirect
382. C₄×C₂²⋊D₅₃	C₂³	semidirect
383. C₄×C₂²⋊D₅₃	C₂³	semidirect
384. C₄×C₂²⋊D₅₃	C₂³	semidirect
385. C₄×C₂²⋊D₅₃	C₂³	semidirect
386. #13133177	C₂³	semidirect
387. #13133177	C₂³	semidirect
388. #13133177	C₂³	semidirect
389. #13133177	C₂³	semidirect
390. #13133177	C₂³	semidirect
391. #13133177	C₂³	semidirect
392. #13133177	C₂³	semidirect
393. #13133176	C₂³	semidirect
394. #13133175	C₂³	semidirect
395. #13133175	C₂³	semidirect
396. #13133174	C₂³	semidirect
397. #13133174	C₂³	semidirect
398. #13133173	C₂³	semidirect
399. #13133173	C₂³	semidirect
400. #13133173	C₂³	semidirect
401. C₂×C₄⋊Dic₅₃	C₂³	semidirect
402. C₂×C₄⋊Dic₅₃	C₂³	semidirect
403. C₂×C₄⋊Dic₅₃	C₂³	semidirect
404. C₂×C₄⋊Dic₅₃	C₂³	semidirect
405. C₂×C₄⋊Dic₅₃	C₂³	semidirect
406. C₂×C₄⋊Dic₅₃	C₂³	semidirect
407. C₂×#11719919	C₂³	semidirect
408. C₂×#11719919	C₂³	semidirect
409. C₂×#11719919	C₂³	semidirect
410. C₂×#11719919	C₂³	semidirect
411. C₂×#11719919	C₂³	semidirect
412. C₂×#11719919	C₂³	semidirect
413. C₂×#11719919	C₂³	semidirect
414. C₂×#11719919	C₂³	semidirect
415. C₂×#11719919	C₂³	semidirect
416. C₂×#11719919	C₂³	semidirect
417. C₂×#11719919	C₂³	semidirect
418. C₂×#11719919	C₂³	semidirect
419. C₂×#11719919	C₂³	semidirect
420. C₂×#11719919	C₂³	semidirect
432. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
433. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
434. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
435. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
436. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
437. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
438. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
439. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
440. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
441. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
465. C₂×#11719921	C₂³	semidirect
466. C₂×#11719921	C₂³	semidirect
467. C₂×#11719921	C₂³	semidirect
468. C₂×#11719921	C₂³	semidirect
469. C₂×#11719921	C₂³	semidirect
470. C₂×#11719921	C₂³	semidirect
471. C₂×#11719921	C₂³	semidirect
472. C₂×#11719921	C₂³	semidirect
476. C₂²⋊C₄×D₅₃	C₂³	semidirect
477. C₂²⋊C₄×D₅₃	C₂³	semidirect
478. C₂²⋊C₄×D₅₃	C₂³	semidirect
479. C₂²⋊C₄×D₅₃	C₂³	semidirect
480. C₂²⋊C₄×D₅₃	C₂³	semidirect
481. C₂²⋊C₄×D₅₃	C₂³	semidirect
482. C₂²⋊C₄×D₅₃	C₂³	semidirect
483. C₂²⋊C₄×D₅₃	C₂³	semidirect
484. C₂²⋊C₄×D₅₃	C₂³	semidirect
485. C₂×C₄×Dic₅₃	C₂³	semidirect
486. C₂×C₄×Dic₅₃	C₂³	semidirect
487. C₂×C₄×Dic₅₃	C₂³	semidirect
488. C₂×C₄×Dic₅₃	C₂³	semidirect
489. C₂×C₄×Dic₅₃	C₂³	semidirect
490. C₂×C₄×Dic₅₃	C₂³	semidirect
491. C₂×C₄×Dic₅₃	C₂³	semidirect
495. C₂×#41×C₅₃	C₂³	semidirect
496. C₂²×Q₈×C₅₃	C₂³	semidirect
505. C₂²×D₄×C₅₃	C₂³	semidirect
506. C₂²×D₄×C₅₃	C₂³	semidirect
507. C₂²×D₄×C₅₃	C₂³	semidirect
511. C₂³×C₄×C₅₃	C₂³	semidirect
512. C₂³×C₄×C₅₃	C₂³	semidirect
513. C₂³×C₄×C₅₃	C₂³	semidirect
514. #124×C₅₃	C₂³	semidirect
515. #123×C₅₃	C₂³	semidirect
516. #123×C₅₃	C₂³	semidirect
517. C₂²⋊Q₈×C₅₃	C₂³	semidirect
518. #121×C₅₃	C₂³	semidirect
519. #121×C₅₃	C₂³	semidirect
520. #121×C₅₃	C₂³	semidirect
522. #120×C₅₃	C₂³	semidirect
523. C₄×D₄×C₅₃	C₂³	semidirect
524. C₄×D₄×C₅₃	C₂³	semidirect
525. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
526. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
527. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
528. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
536. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
537. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
538. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
539. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
540. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
541. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
542. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
543. C₂×C₄²×C₅₃	C₂³	semidirect
582. C₂³×D₅₃	#41	semidirect
597. C₂×Q₈×C₅₃	C₂⁴	semidirect
615. C₂×D₄×C₅₃	C₂⁴	semidirect
616. C₂×D₄×C₅₃	C₂⁴	semidirect
635. C₂²×C₄×C₅₃	C₂⁴	semidirect
636. C₂²×C₄×C₅₃	C₂⁴	semidirect
637. C₂²×C₄×C₅₃	C₂⁴	semidirect
670. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
671. C₂×C₂²⋊D₅₃	C₂⁴	semidirect
694. C₂²×Dic₅₃	C₂⁴	semidirect
695. C₂²×Dic₅₃	C₂⁴	semidirect
696. C₂²×Dic₅₃	C₂⁴	semidirect
735. C₂×C₄×D₅₃	C₂⁴	semidirect
736. C₂×C₄×D₅₃	C₂⁴	semidirect
740. C₂×Dic₁₀₆	C₂⁴	semidirect
741. C₂×Dic₁₀₆	C₂⁴	semidirect
742. C₂×Dic₁₀₆	C₂⁴	semidirect
743. C₄⋊C₄×C₅₃	C₂⁴	semidirect
744. C₄⋊C₄×C₅₃	C₂⁴	semidirect
745. C₄⋊C₄×C₅₃	C₂⁴	semidirect
746. C₄⋊C₄×C₅₃	C₂⁴	semidirect
754. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
755. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
756. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
757. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
758. C₂²⋊C₄×C₅₃	C₂⁴	semidirect
759. C₄²×C₅₃	C₂⁴	semidirect
771. C₂²⋊Dic₅₃	C₂⁴	semidirect
772. C₂²⋊Dic₅₃	C₂⁴	semidirect
773. C₂²⋊Dic₅₃	C₂⁴	semidirect
774. C₂²⋊Dic₅₃	C₂⁴	semidirect
775. C₂²⋊Dic₅₃	C₂⁴	semidirect
776. C₂²⋊Dic₅₃	C₂⁴	semidirect
777. C₂²⋊Dic₅₃	C₂⁴	semidirect
800. #11719921	C₂⁴	semidirect
801. #11719921	C₂⁴	semidirect
802. #11719921	C₂⁴	semidirect
803. #11719921	C₂⁴	semidirect
804. C₄⋊Dic₅₃	C₂⁴	semidirect
805. C₄⋊Dic₅₃	C₂⁴	semidirect
806. C₄⋊Dic₅₃	C₂⁴	semidirect
807. C₄⋊Dic₅₃	C₂⁴	semidirect
808. C₄⋊Dic₅₃	C₂⁴	semidirect
809. C₄⋊Dic₅₃	C₂⁴	semidirect
810. #11719919	C₂⁴	semidirect
811. #11719919	C₂⁴	semidirect
812. #11719919	C₂⁴	semidirect
813. #11719919	C₂⁴	semidirect
814. #11719919	C₂⁴	semidirect
815. #11719919	C₂⁴	semidirect
816. #11719919	C₂⁴	semidirect
817. #11719919	C₂⁴	semidirect
818. #11719919	C₂⁴	semidirect
819. #11719919	C₂⁴	semidirect
820. #11719919	C₂⁴	semidirect
821. #11719919	C₂⁴	semidirect
822. #11719919	C₂⁴	semidirect
823. #11719919	C₂⁴	semidirect
824. C₄×Dic₅₃	C₂⁴	semidirect
825. C₄×Dic₅₃	C₂⁴	semidirect
826. C₄×Dic₅₃	C₂⁴	semidirect
827. C₄×Dic₅₃	C₂⁴	semidirect
828. C₄×Dic₅₃	C₂⁴	semidirect
829. C₄×Dic₅₃	C₂⁴	semidirect
830. C₄×Dic₅₃	C₂⁴	semidirect
906. C₂²×D₅₃	C₂×#41	semidirect
1105. C₂×#546	D₅₃	semidirect
1127. C₂×C₅₃	#3490	semidirect
1140. C₂²×#41	C₂×D₅₃	semidirect
1146. C₂³×D₄	C₂×D₅₃	semidirect
1164. #546	C₂×D₅₃	semidirect
1186. C₂×#124	C₂×D₅₃	semidirect
1209. C₂×#123	C₂×D₅₃	semidirect
1210. C₂×#123	C₂×D₅₃	semidirect
1226. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1240. C₂×#121	C₂×D₅₃	semidirect
1241. C₂×#121	C₂×D₅₃	semidirect
1242. C₂×#121	C₂×D₅₃	semidirect
1264. C₂×#120	C₂×D₅₃	semidirect
1289. C₂×C₄×D₄	C₂×D₅₃	semidirect
1290. C₂×C₄×D₄	C₂×D₅₃	semidirect
1320. C₂²×C₂²⋊C₄	C₂×D₅₃	semidirect
1321. C₂²×C₂²⋊C₄	C₂×D₅₃	semidirect
1322. C₅₃	C₂×#3490	semidirect
1343. C₂×#41	C₂²×D₅₃	semidirect
1347. C₂²×Q₈	C₂²×D₅₃	semidirect
1385. C₂²×D₄	C₂²×D₅₃	semidirect
1386. C₂²×D₄	C₂²×D₅₃	semidirect
1387. C₂²×D₄	C₂²×D₅₃	semidirect
1415. C₂³×C₄	C₂²×D₅₃	semidirect
1416. C₂³×C₄	C₂²×D₅₃	semidirect
1417. C₂³×C₄	C₂²×D₅₃	semidirect
1433. #124	C₂²×D₅₃	semidirect
1452. #123	C₂²×D₅₃	semidirect
1453. #123	C₂²×D₅₃	semidirect
1469. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1483. #121	C₂²×D₅₃	semidirect
1484. #121	C₂²×D₅₃	semidirect
1485. #121	C₂²×D₅₃	semidirect
1505. #120	C₂²×D₅₃	semidirect
1528. C₄×D₄	C₂²×D₅₃	semidirect
1529. C₄×D₄	C₂²×D₅₃	semidirect
1558. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1559. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1560. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1561. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1633. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1634. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1635. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1636. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1637. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1638. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1639. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1647. C₂×C₄²	C₂²×D₅₃	semidirect
1710. C₂×Q₈	C₂³×D₅₃	semidirect
1771. C₂×D₄	C₂³×D₅₃	semidirect
1772. C₂×D₄	C₂³×D₅₃	semidirect
1844. C₂²×C₄	C₂³×D₅₃	semidirect
1845. C₂²×C₄	C₂³×D₅₃	semidirect
1846. C₂²×C₄	C₂³×D₅₃	semidirect
1867. C₄⋊C₄	C₂³×D₅₃	semidirect
1868. C₄⋊C₄	C₂³×D₅₃	semidirect
1869. C₄⋊C₄	C₂³×D₅₃	semidirect
1870. C₄⋊C₄	C₂³×D₅₃	semidirect
1922. C₂²⋊C₄	C₂³×D₅₃	semidirect
1923. C₂²⋊C₄	C₂³×D₅₃	semidirect
1924. C₂²⋊C₄	C₂³×D₅₃	semidirect
1925. C₂²⋊C₄	C₂³×D₅₃	semidirect
1926. C₂²⋊C₄	C₂³×D₅₃	semidirect
1934. C₄²	C₂³×D₅₃	semidirect
2203. C₂	#20288397	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288397	2
C₂×#16811304	2
C₂×#16811303	2
C₂×#16811302	2
C₂×#16811301	2
C₂×#16811300	2
C₂×#16811299	2
C₂×#16811296	2
C₂×#16811270	2
C₂×#16811267	2
C₂×#16811263	2
C₂×#16811262	2
C₂×#16811261	2
C₂×#16811260	2
C₂×#16811248	2
C₂×#16811209	2
C₂×#16811207	2
C₂×#16811205	2
C₂×#16811183	2
C₂×#16811133	2
C₂×#16811132	2
C₂×#16811131	2
C₂×#16811130	2
C₂²×#13133185	2
C₂×#120×D₅₃	2
C₂×#16811096	2
C₂×#16811095	2
C₂²×C₂²⋊C₄×D₅₃	2
C₂×C₅₃×#546	2
C₂×#3490	53

Subgroups — C2×#20288397 #28291998

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20288397 #28291998