Subgroups — C₂×#20288736 #28292084

Order 13568.

8774 conjugacy classes of subgroups.

The subgroup lattice has 2192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288736	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811335	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811327	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811322	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811322	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811318	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811316	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811291	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811265	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811263	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811263	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811262	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811261	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×D₄×C₂²⋊D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811255	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811255	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811225	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811223	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811213	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811208	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811207	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811169	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811150	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811132	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811129	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#13133189	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#121×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×#13133177	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
37	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
38	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
39	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
41	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
42	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
43	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
44	C₂⁴×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
45	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
46	#16811335	C₂²	1	16	yes	complemented
47	#16811327	C₂²	1	16	yes	complemented
48	#16811322	C₂²	1	16	yes	complemented
49	#16811322	C₂²	1	16	yes	complemented
50	#16811318	C₂²	1	16	yes	complemented
51	#16811316	C₂²	1	16	yes	complemented
52	#16811291	C₂²	1	16	yes	complemented
53	#16811265	C₂²	1	16	yes	complemented
54	#16811263	C₂²	1	16	yes	complemented
55	#16811263	C₂²	1	16	yes	complemented
56	#16811262	C₂²	1	16	yes	complemented
57	#16811261	C₂²	1	16	yes	complemented
58	D₄×C₂²⋊D₅₃	C₂²	1	16	yes	complemented
59	#16811255	C₂²	1	16	yes	complemented
60	#16811255	C₂²	1	16	yes	complemented
61	#16811225	C₂²	1	16	yes	complemented
62	#16811223	C₂²	1	16	yes	complemented
63	#16811213	C₂²	1	16	yes	complemented
64	#16811208	C₂²	1	16	yes	complemented
65	#16811207	C₂²	1	16	yes	complemented
66	#16811205	C₂²	1	16	yes	complemented
67	#16811169	C₂²	1	16	yes	complemented
68	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
69	C₂×#13133213	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13133213	C₂²	1	1	yes	characteristic, complemented
71	C₂×#13133213	C₂²	1	1	yes	characteristic, complemented
72	#16811150	C₂²	1	16	yes	complemented
73	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
74	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
88	#16811132	C₂²	1	16	yes	complemented
89	#16811129	C₂²	1	16	yes	complemented
90	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133199	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×#13133195	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
108	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
112	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
113	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13133190	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
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×#13133189	C₂²	1	1	yes	characteristic, complemented
127	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
132	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
133	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
134	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
135	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
136	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
137	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
138	C₂×#13133189	C₂²	1	16	yes	complemented
139	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
140	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
141	#121×D₅₃	C₂²	1	16	yes	complemented
142	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
146	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
147	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
149	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
150	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
151	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
152	#16811096	C₂²	1	16	yes	complemented
153	#16811095	C₂²	1	16	yes	complemented
154	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
155	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
156	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
157	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
158	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
159	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
160	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
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×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
169	C₂×#13133177	C₂²	1	1	yes	characteristic
170	C₂×#13133177	C₂²	1	1	yes	characteristic
171	C₂×#13133177	C₂²	1	1	yes	characteristic
172	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
178	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
180	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
181	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
182	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
184	C₂×#13133177	C₂²	1	16	yes	complemented
185	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
186	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
187	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
188	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
189	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
190	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
191	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
192	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
193	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
194	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
195	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
196	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
197	C₂²×#11719921	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	1	yes	characteristic, complemented
202	C₂²×C₄×Dic₅₃	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, complemented
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	C₂³	1	1	yes	characteristic
220	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
221	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
222	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
223	C₂×#11719945	—	4	4	no	—
224	C₂×#11719945	—	4	4	no	—
225	C₂×#11719945	C₂³	1	8	yes	complemented
226	C₂×#11719945	C₂³	1	8	yes	complemented
227	C₂×#11719947	—	4	4	no	—
228	C₂×#11719947	C₂³	1	8	yes	complemented
229	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
230	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
231	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
232	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
233	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
234	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
235	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
236	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₅₃	—	2	8	no	—
238	C₂²×C₂²⋊D₅₃	—	2	8	no	—
239	C₂²×C₂²⋊D₅₃	—	4	4	no	—
240	C₂²×C₂²⋊D₅₃	—	4	4	no	—
241	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
243	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
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	1	yes	characteristic
255	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
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	1	yes	characteristic
260	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
261	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
262	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
263	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
264	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
265	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
266	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
267	C₂×D₄×D₅₃	—	2	8	no	—
268	C₂×D₄×D₅₃	—	4	4	no	—
269	C₂×D₄×D₅₃	—	4	4	no	—
270	C₂×D₄×D₅₃	—	4	4	no	—
271	C₂×D₄×D₅₃	C₂³	1	8	yes	—
272	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
273	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
274	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
275	C₂³×Dic₅₃	—	4	4	no	—
276	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
277	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
278	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
279	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
280	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
281	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
282	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
283	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
284	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
285	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
286	C₂³×Dic₅₃	C₂³	1	8	yes	complemented
287	C₂²×C₄×D₅₃	—	4	4	no	—
288	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
289	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
290	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
291	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
292	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
293	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
294	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
295	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
296	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
297	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
298	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
299	C₂²×C₄×D₅₃	C₂³	1	8	yes	complemented
300	#13133215	C₂³	1	8	yes	complemented
301	#13133213	C₂³	1	8	yes	complemented
302	#13133213	C₂³	1	8	yes	complemented
303	#13133213	C₂³	1	8	yes	complemented
304	#13133212	C₂³	1	8	yes	complemented
305	#13133212	C₂³	1	8	yes	complemented
306	#13133211	C₂³	1	8	yes	complemented
307	#13133210	C₂³	1	8	yes	complemented
308	#13133210	C₂³	1	8	yes	complemented
309	#13133210	C₂³	1	8	yes	complemented
310	#13133207	C₂³	1	8	yes	complemented
311	#13133207	C₂³	1	8	yes	complemented
312	#13133207	C₂³	1	8	yes	complemented
313	#13133206	C₂³	1	8	yes	complemented
314	#13133206	C₂³	1	8	yes	complemented
315	#13133204	C₂³	1	8	yes	complemented
316	#13133203	C₂³	1	8	yes	complemented
317	#13133203	C₂³	1	8	yes	complemented
318	#13133203	C₂³	1	8	yes	complemented
319	#13133202	C₂³	1	8	yes	complemented
320	#13133202	C₂³	1	8	yes	complemented
321	#13133202	C₂³	1	8	yes	complemented
322	#13133201	C₂³	1	8	yes	complemented
323	#13133200	C₂³	1	8	yes	complemented
324	#13133200	C₂³	1	8	yes	complemented
325	#13133200	C₂³	1	8	yes	complemented
326	#13133199	C₂³	1	8	yes	complemented
327	#13133199	C₂³	1	8	yes	complemented
328	#13133199	C₂³	1	8	yes	complemented
329	#13133198	C₂³	1	8	yes	complemented
330	#13133198	C₂³	1	8	yes	complemented
331	#13133195	C₂³	1	8	yes	complemented
332	#13133195	C₂³	1	8	yes	complemented
333	#13133194	C₂³	1	8	yes	complemented
334	#13133194	C₂³	1	8	yes	complemented
335	#13133194	C₂³	1	8	yes	complemented
336	#13133193	C₂³	1	8	yes	complemented
337	#13133192	C₂³	1	8	yes	complemented
338	#13133192	C₂³	1	8	yes	complemented
339	#13133191	C₂³	1	8	yes	complemented
340	#13133191	C₂³	1	8	yes	complemented
341	#13133191	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	#13133190	C₂³	1	8	yes	complemented
346	#13133190	C₂³	1	8	yes	complemented
347	#13133190	C₂³	1	8	yes	complemented
348	#13133190	C₂³	1	8	yes	complemented
349	#13133190	C₂³	1	8	yes	complemented
350	#13133190	C₂³	1	8	yes	complemented
351	#13133189	C₂³	1	8	yes	—
352	#13133189	C₂³	1	8	yes	complemented
353	#13133189	C₂³	1	8	yes	complemented
354	#13133189	C₂³	1	8	yes	complemented
355	#13133189	C₂³	1	8	yes	complemented
356	#13133189	C₂³	1	8	yes	complemented
357	#13133189	C₂³	1	8	yes	complemented
358	#13133189	C₂³	1	8	yes	complemented
359	#13133189	C₂³	1	8	yes	complemented
360	#13133189	C₂³	1	8	yes	complemented
361	#13133189	C₂³	1	8	yes	complemented
362	#13133189	C₂³	1	8	yes	complemented
363	#13133189	C₂³	1	8	yes	complemented
364	#13133189	C₂³	1	8	yes	complemented
365	#13133189	C₂³	1	8	yes	complemented
366	#13133189	C₂³	1	8	yes	complemented
367	#13133188	C₂³	1	8	yes	complemented
368	#13133188	C₂³	1	8	yes	complemented
369	#13133187	C₂³	1	8	yes	complemented
370	#13133187	C₂³	1	8	yes	complemented
371	#13133187	C₂³	1	8	yes	complemented
372	#13133187	C₂³	1	8	yes	complemented
373	#13133186	C₂³	1	8	yes	complemented
374	#13133186	C₂³	1	8	yes	complemented
375	#13133185	C₂³	1	8	yes	complemented
376	#13133185	C₂³	1	8	yes	complemented
377	#13133185	C₂³	1	8	yes	complemented
378	#13133185	C₂³	1	8	yes	complemented
379	#13133182	C₂³	1	8	yes	complemented
380	C₄×D₂₁₂	C₂³	1	8	yes	complemented
381	D₄×Dic₅₃	C₂³	1	8	yes	complemented
382	D₄×Dic₅₃	C₂³	1	8	yes	complemented
383	D₄×Dic₅₃	C₂³	1	8	yes	complemented
384	#13133179	C₂³	1	8	yes	complemented
385	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
386	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
387	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
388	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
389	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
390	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
391	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
392	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
393	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
394	#13133177	C₂³	1	8	yes	—
395	#13133177	C₂³	1	8	yes	—
396	#13133177	C₂³	1	8	yes	—
397	#13133177	C₂³	1	8	yes	complemented
398	#13133177	C₂³	1	8	yes	complemented
399	#13133177	C₂³	1	8	yes	complemented
400	#13133177	C₂³	1	8	yes	complemented
401	#13133177	C₂³	1	8	yes	complemented
402	#13133177	C₂³	1	8	yes	complemented
403	#13133177	C₂³	1	8	yes	complemented
404	#13133177	C₂³	1	8	yes	complemented
405	#13133177	C₂³	1	8	yes	complemented
406	#13133177	C₂³	1	8	yes	complemented
407	#13133177	C₂³	1	8	yes	complemented
408	#13133177	C₂³	1	8	yes	complemented
409	#13133175	C₂³	1	8	yes	complemented
410	#13133174	C₂³	1	8	yes	complemented
411	#13133174	C₂³	1	8	yes	complemented
412	#13133173	C₂³	1	8	yes	complemented
413	#13133173	C₂³	1	8	yes	complemented
414	#13133173	C₂³	1	8	yes	complemented
415	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
418	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
419	C₂×#11719919	C₂³	1	1	yes	characteristic
420	C₂×#11719919	C₂³	1	1	yes	characteristic
421	C₂×#11719919	C₂³	1	1	yes	characteristic
422	C₂×#11719919	C₂³	1	1	yes	characteristic
423	C₂×#11719919	C₂³	1	1	yes	characteristic
424	C₂×#11719919	C₂³	1	1	yes	characteristic
425	C₂×#11719919	C₂³	1	1	yes	characteristic
426	C₂×#11719919	C₂³	1	1	yes	characteristic
427	C₂×#11719919	C₂³	1	1	yes	characteristic
428	C₂×#11719919	C₂³	1	1	yes	characteristic
429	C₂×#11719919	C₂³	1	1	yes	characteristic
430	C₂×#11719919	C₂³	1	1	yes	characteristic
431	C₂×#11719919	C₂³	1	1	yes	characteristic
432	C₂×#11719919	C₂³	1	1	yes	characteristic
433	C₂×#11719919	C₂³	1	1	yes	characteristic
434	C₂×#11719919	C₂³	1	1	yes	characteristic
435	C₂×#11719919	C₂³	1	1	yes	characteristic
436	C₂×#11719919	C₂³	1	1	yes	characteristic
437	C₂×#11719919	C₂³	1	8	yes	complemented
438	C₂×#11719919	C₂³	1	8	yes	complemented
439	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
440	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
441	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
442	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
443	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
444	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
445	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
446	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
447	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
448	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
449	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
450	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
451	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
452	C₂×C₂²⋊Dic₅₃	C₂³	1	8	yes	complemented
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	1	yes	characteristic
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	1	yes	characteristic
466	C₂×#11719921	C₂³	1	1	yes	characteristic
467	C₂×#11719921	C₂³	1	1	yes	characteristic
468	C₂×#11719921	C₂³	1	1	yes	characteristic
469	C₂×#11719921	C₂³	1	1	yes	characteristic
470	C₂×#11719921	C₂³	1	1	yes	characteristic
471	C₂×#11719921	C₂³	1	1	yes	characteristic
472	C₂×#11719921	C₂³	1	1	yes	characteristic
473	C₂×#11719921	C₂³	1	1	yes	characteristic
474	C₂×#11719921	C₂³	1	1	yes	characteristic
475	C₂×#11719921	C₂³	1	8	yes	complemented
476	C₂×#11719921	C₂³	1	8	yes	complemented
477	C₂×#11719921	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	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
483	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
484	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
485	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
486	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
487	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
488	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
489	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
490	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
491	C₂×C₄×Dic₅₃	C₂³	1	8	yes	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
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	1	yes	characteristic
506	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
507	C₂²×D₄×C₅₃	C₂³	1	8	yes	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
512	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
513	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
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	complemented
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
526	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
537	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
538	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
539	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
540	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
541	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	complemented
542	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	complemented
543	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
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	—	4	2	no	—
564	C₂³×D₅₃	—	4	2	no	—
565	C₂³×D₅₃	—	4	2	no	—
566	C₂³×D₅₃	—	4	2	no	—
567	C₂³×D₅₃	—	4	2	no	—
568	C₂³×D₅₃	—	4	2	no	—
569	C₂³×D₅₃	—	4	2	no	—
570	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
571	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
572	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
573	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
574	C₂³×D₅₃	C₂⁴	1	4	yes	—
575	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
576	C₂³×D₅₃	C₂⁴	1	4	yes	—
577	C₂³×D₅₃	C₂⁴	1	4	yes	—
578	C₂³×D₅₃	C₂⁴	1	4	yes	—
579	#41×C₅₃	—	4	16	no	—
580	C₂×Q₈×C₅₃	—	4	2	no	—
581	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
582	C₂×D₄×C₅₃	—	2	4	no	—
583	C₂×D₄×C₅₃	—	2	4	no	—
584	C₂×D₄×C₅₃	—	2	4	no	—
585	C₂×D₄×C₅₃	—	2	4	no	—
586	C₂×D₄×C₅₃	—	4	2	no	—
587	C₂×D₄×C₅₃	—	4	2	no	—
588	C₂×D₄×C₅₃	—	4	2	no	—
589	C₂×D₄×C₅₃	—	4	2	no	—
590	C₂×D₄×C₅₃	—	4	2	no	—
591	C₂×D₄×C₅₃	—	4	16	no	—
592	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
593	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
594	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
595	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
596	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
597	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
598	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
599	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
600	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
601	C₂²×C₄×C₅₃	—	2	4	no	—
602	C₂²×C₄×C₅₃	—	4	2	no	—
603	C₂²×C₄×C₅₃	—	4	2	no	—
604	C₂²×C₄×C₅₃	—	4	2	no	—
605	C₂²×C₄×C₅₃	—	4	2	no	—
606	C₂²×C₄×C₅₃	—	4	2	no	—
607	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
617	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
618	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
619	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
620	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
621	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
622	C₂×C₂²⋊D₅₃	—	2	4	no	—
623	C₂×C₂²⋊D₅₃	—	2	4	no	—
624	C₂×C₂²⋊D₅₃	—	2	4	no	—
625	C₂×C₂²⋊D₅₃	—	2	4	no	—
626	C₂×C₂²⋊D₅₃	—	2	4	no	—
627	C₂×C₂²⋊D₅₃	—	2	4	no	—
628	C₂×C₂²⋊D₅₃	—	2	4	no	—
629	C₂×C₂²⋊D₅₃	—	2	32	no	—
630	C₂×C₂²⋊D₅₃	—	2	32	no	—
631	C₂×C₂²⋊D₅₃	—	2	4	no	—
632	C₂×C₂²⋊D₅₃	—	2	4	no	—
633	C₂×C₂²⋊D₅₃	—	2	4	no	—
634	C₂×C₂²⋊D₅₃	—	2	4	no	—
635	C₂×C₂²⋊D₅₃	—	2	4	no	—
636	C₂×C₂²⋊D₅₃	—	2	4	no	—
637	C₂×C₂²⋊D₅₃	—	4	16	no	—
638	C₂×C₂²⋊D₅₃	—	4	2	no	—
639	C₂×C₂²⋊D₅₃	—	4	2	no	—
640	C₂×C₂²⋊D₅₃	—	4	2	no	—
641	C₂×C₂²⋊D₅₃	—	4	2	no	—
642	C₂×C₂²⋊D₅₃	—	4	2	no	—
643	C₂×C₂²⋊D₅₃	—	4	2	no	—
644	C₂×C₂²⋊D₅₃	—	4	2	no	—
645	C₂×C₂²⋊D₅₃	—	4	2	no	—
646	C₂×C₂²⋊D₅₃	—	4	16	no	—
647	C₂×C₂²⋊D₅₃	#41	1	8	yes	complemented
648	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
649	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
650	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
651	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
652	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
653	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
654	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
655	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
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	C₂²×Dic₅₃	—	2	4	no	—
671	C₂²×Dic₅₃	—	2	4	no	—
672	C₂²×Dic₅₃	—	2	4	no	—
673	C₂²×Dic₅₃	—	2	4	no	—
674	C₂²×Dic₅₃	—	2	4	no	—
675	C₂²×Dic₅₃	—	4	16	no	—
676	C₂²×Dic₅₃	—	4	2	no	—
677	C₂²×Dic₅₃	—	4	2	no	—
678	C₂²×Dic₅₃	—	4	2	no	—
679	C₂²×Dic₅₃	—	4	2	no	—
680	C₂²×Dic₅₃	—	4	2	no	—
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	4	yes	—
690	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
691	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
692	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
693	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
694	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
695	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
696	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
697	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
698	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
699	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
700	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
701	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
702	#11719947	—	4	16	no	—
703	D₄×D₅₃	—	2	32	no	—
704	D₄×D₅₃	—	4	16	no	—
705	D₄×D₅₃	—	4	16	no	—
706	D₄×D₅₃	—	4	16	no	—
707	#11719945	—	4	16	no	—
708	#11719945	—	4	16	no	—
709	C₂×D₂₁₂	—	2	4	no	—
710	C₂×D₂₁₂	—	4	2	no	—
711	C₂×D₂₁₂	—	4	2	no	—
712	C₂×D₂₁₂	—	4	2	no	—
713	C₂×D₂₁₂	—	4	2	no	—
714	C₂×D₂₁₂	—	4	2	no	—
715	C₂×D₂₁₂	C₂⁴	1	4	yes	—
716	C₂×D₂₁₂	C₂⁴	1	4	yes	—
717	C₂×D₂₁₂	C₂⁴	1	4	yes	—
718	C₂×D₂₁₂	C₂⁴	1	4	yes	—
719	C₂×D₂₁₂	C₂⁴	1	4	yes	—
720	C₂×D₂₁₂	C₂⁴	1	4	yes	—
721	C₂×C₄×D₅₃	—	2	4	no	—
722	C₂×C₄×D₅₃	—	2	4	no	—
723	C₂×C₄×D₅₃	—	2	4	no	—
724	C₂×C₄×D₅₃	—	4	16	no	—
725	C₂×C₄×D₅₃	—	4	2	no	—
726	C₂×C₄×D₅₃	—	4	2	no	—
727	C₂×C₄×D₅₃	—	4	2	no	—
728	C₂×C₄×D₅₃	—	4	2	no	—
729	C₂×C₄×D₅₃	—	4	2	no	—
730	C₂×C₄×D₅₃	—	4	2	no	—
731	C₂×C₄×D₅₃	—	4	2	no	—
732	C₂×C₄×D₅₃	—	4	2	no	—
733	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
734	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
735	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
736	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
737	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
738	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
739	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
740	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
741	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
742	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
743	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
744	C₂×Dic₁₀₆	—	2	4	no	—
745	C₂×Dic₁₀₆	—	4	2	no	—
746	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
747	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
748	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
749	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
750	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
751	C₄⋊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	—
755	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
756	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
757	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
758	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
759	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
760	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
761	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
762	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
763	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
764	C₄²×C₅₃	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	—
772	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
773	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
774	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
775	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
776	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
777	#11719921	C₂⁴	1	4	yes	—
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	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
800	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
801	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
802	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
803	#11719919	C₂⁴	1	4	yes	—
804	#11719919	C₂⁴	1	4	yes	—
805	#11719919	C₂⁴	1	4	yes	—
806	#11719919	C₂⁴	1	4	yes	—
807	#11719919	C₂⁴	1	4	yes	—
808	#11719919	C₂⁴	1	4	yes	—
809	#11719919	C₂⁴	1	4	yes	—
810	#11719919	C₂⁴	1	4	yes	—
811	#11719919	C₂⁴	1	4	yes	—
812	#11719919	C₂⁴	1	4	yes	—
813	#11719919	C₂⁴	1	4	yes	—
814	#11719919	C₂⁴	1	4	yes	—
815	#11719919	C₂⁴	1	4	yes	—
816	#11719919	C₂⁴	1	4	yes	—
817	#11719919	C₂⁴	1	4	yes	—
818	#11719919	C₂⁴	1	4	yes	—
819	#11719919	C₂⁴	1	4	yes	—
820	#11719919	C₂⁴	1	4	yes	—
821	C₄×Dic₅₃	C₂⁴	1	4	yes	—
822	C₄×Dic₅₃	C₂⁴	1	4	yes	—
823	C₄×Dic₅₃	C₂⁴	1	4	yes	—
824	C₄×Dic₅₃	C₂⁴	1	4	yes	—
825	C₄×Dic₅₃	C₂⁴	1	4	yes	—
826	C₄×Dic₅₃	C₂⁴	1	4	yes	—
827	C₄×Dic₅₃	C₂⁴	1	4	yes	—
828	C₄×Dic₅₃	C₂⁴	1	4	yes	—
829	C₄×Dic₅₃	C₂⁴	1	4	yes	—
830	C₂³×C₅₃	—	2	2	no	—
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	8	no	—
836	C₂³×C₅₃	—	2	2	no	—
837	C₂³×C₅₃	—	2	2	no	—
838	C₂³×C₅₃	—	2	2	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	8	no	—
844	C₂³×C₅₃	—	2	2	no	—
845	C₂³×C₅₃	—	2	2	no	—
846	C₂³×C₅₃	—	2	2	no	—
847	C₂³×C₅₃	—	2	2	no	—
848	C₂³×C₅₃	—	2	8	no	—
849	C₂³×C₅₃	—	4	4	no	—
850	C₂³×C₅₃	—	4	4	no	—
851	C₂³×C₅₃	—	4	4	no	—
852	C₂³×C₅₃	—	4	16	no	—
853	C₂³×C₅₃	—	8	8	no	—
854	C₂³×C₅₃	C₂×#41	1	4	yes	—
855	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
856	C₂³×C₅₃	C₂⁵	1	2	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	1	yes	characteristic
863	C₂²×D₅₃	—	2	2	no	—
864	C₂²×D₅₃	—	2	2	no	—
865	C₂²×D₅₃	—	2	2	no	—
866	C₂²×D₅₃	—	2	2	no	—
867	C₂²×D₅₃	—	2	2	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	2	no	—
873	C₂²×D₅₃	—	2	2	no	—
874	C₂²×D₅₃	—	2	2	no	—
875	C₂²×D₅₃	—	2	2	no	—
876	C₂²×D₅₃	—	2	2	no	—
877	C₂²×D₅₃	—	2	8	no	—
878	C₂²×D₅₃	—	2	8	no	—
879	C₂²×D₅₃	—	2	8	no	—
880	C₂²×D₅₃	—	2	8	no	—
881	C₂²×D₅₃	—	2	8	no	—
882	C₂²×D₅₃	—	4	4	no	—
883	C₂²×D₅₃	—	4	4	no	—
884	C₂²×D₅₃	—	4	4	no	—
885	C₂²×D₅₃	—	4	4	no	—
886	C₂²×D₅₃	—	4	4	no	—
887	C₂²×D₅₃	—	4	4	no	—
888	C₂²×D₅₃	—	4	4	no	—
889	C₂²×D₅₃	—	4	16	no	—
890	C₂²×D₅₃	—	8	8	no	—
891	C₂²×D₅₃	—	8	8	no	—
892	C₂²×D₅₃	—	8	8	no	—
893	C₂²×D₅₃	C₂×#41	1	4	yes	—
894	C₂²×D₅₃	C₂⁵	1	2	yes	—
895	C₂²×D₅₃	C₂⁵	1	2	yes	—
896	C₂²×D₅₃	C₂⁵	1	2	yes	—
897	C₂²×D₅₃	C₂⁵	1	2	yes	—
898	C₂²×D₅₃	C₂⁵	1	2	yes	—
899	Q₈×C₅₃	—	4	4	no	—
900	D₄×C₅₃	—	2	8	no	—
901	D₄×C₅₃	—	2	8	no	—
902	D₄×C₅₃	—	2	8	no	—
903	D₄×C₅₃	—	2	8	no	—
904	D₄×C₅₃	—	4	4	no	—
905	D₄×C₅₃	—	4	4	no	—
906	D₄×C₅₃	—	4	4	no	—
907	D₄×C₅₃	—	4	4	no	—
908	D₄×C₅₃	—	4	4	no	—
909	C₂×C₄×C₅₃	—	2	2	no	—
910	C₂×C₄×C₅₃	—	2	2	no	—
911	C₂×C₄×C₅₃	—	2	2	no	—
912	C₂×C₄×C₅₃	—	2	2	no	—
913	C₂×C₄×C₅₃	—	2	2	no	—
914	C₂×C₄×C₅₃	—	2	2	no	—
915	C₂×C₄×C₅₃	—	2	2	no	—
916	C₂×C₄×C₅₃	—	2	2	no	—
917	C₂×C₄×C₅₃	—	2	8	no	—
918	C₂×C₄×C₅₃	—	2	2	no	—
919	C₂×C₄×C₅₃	—	4	4	no	—
920	C₂×C₄×C₅₃	—	4	4	no	—
921	C₂×C₄×C₅₃	—	4	4	no	—
922	C₂×C₄×C₅₃	—	4	4	no	—
923	C₂×C₄×C₅₃	—	4	4	no	—
924	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
925	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
926	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
927	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
928	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
929	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
930	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
931	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
932	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
933	C₂²⋊D₅₃	—	2	8	no	—
934	C₂²⋊D₅₃	—	2	8	no	—
935	C₂²⋊D₅₃	—	2	8	no	—
936	C₂²⋊D₅₃	—	2	8	no	—
937	C₂²⋊D₅₃	—	2	8	no	—
938	C₂²⋊D₅₃	—	2	8	no	—
939	C₂²⋊D₅₃	—	2	8	no	—
940	C₂²⋊D₅₃	—	2	8	no	—
941	C₂²⋊D₅₃	—	2	8	no	—
942	C₂²⋊D₅₃	—	2	8	no	—
943	C₂²⋊D₅₃	—	2	8	no	—
944	C₂²⋊D₅₃	—	2	8	no	—
945	C₂²⋊D₅₃	—	2	8	no	—
946	C₂²⋊D₅₃	—	4	4	no	—
947	C₂²⋊D₅₃	—	4	4	no	—
948	C₂²⋊D₅₃	—	4	4	no	—
949	C₂²⋊D₅₃	—	4	4	no	—
950	C₂²⋊D₅₃	—	4	4	no	—
951	C₂²⋊D₅₃	—	4	4	no	—
952	C₂²⋊D₅₃	—	4	4	no	—
953	C₂²⋊D₅₃	—	4	4	no	—
954	C₂²⋊D₅₃	C₂×#41	1	16	yes	complemented
955	C₂×Dic₅₃	—	2	2	no	—
956	C₂×Dic₅₃	—	2	2	no	—
957	C₂×Dic₅₃	—	2	2	no	—
958	C₂×Dic₅₃	—	2	2	no	—
959	C₂×Dic₅₃	—	2	2	no	—
960	C₂×Dic₅₃	—	2	2	no	—
961	C₂×Dic₅₃	—	2	2	no	—
962	C₂×Dic₅₃	—	2	2	no	—
963	C₂×Dic₅₃	—	2	2	no	—
964	C₂×Dic₅₃	—	2	8	no	—
965	C₂×Dic₅₃	—	2	8	no	—
966	C₂×Dic₅₃	—	2	8	no	—
967	C₂×Dic₅₃	—	2	8	no	—
968	C₂×Dic₅₃	—	2	8	no	—
969	C₂×Dic₅₃	—	4	4	no	—
970	C₂×Dic₅₃	—	4	4	no	—
971	C₂×Dic₅₃	—	4	4	no	—
972	C₂×Dic₅₃	—	4	4	no	—
973	C₂×Dic₅₃	—	4	4	no	—
974	C₂×Dic₅₃	C₂×#41	1	4	yes	—
975	C₂×Dic₅₃	H(5,𝔽₂)	1	4	yes	—
976	C₂×Dic₅₃	C₂⁵	1	2	yes	—
977	C₂×Dic₅₃	C₂⁵	1	2	yes	—
978	C₂×Dic₅₃	C₂⁵	1	2	yes	—
979	C₂×Dic₅₃	C₂⁵	1	2	yes	—
980	C₂×Dic₅₃	C₂⁵	1	2	yes	—
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	D₂₁₂	—	2	8	no	—
988	D₂₁₂	—	4	4	no	—
989	D₂₁₂	—	4	4	no	—
990	D₂₁₂	—	4	4	no	—
991	D₂₁₂	—	4	4	no	—
992	D₂₁₂	—	4	4	no	—
993	C₄×D₅₃	—	2	8	no	—
994	C₄×D₅₃	—	2	8	no	—
995	C₄×D₅₃	—	2	8	no	—
996	C₄×D₅₃	—	4	4	no	—
997	C₄×D₅₃	—	4	4	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	Dic₁₀₆	—	2	8	no	—
1005	Dic₁₀₆	—	4	4	no	—
1006	C₂×#3519	—	53	1	no	maximal, Sylow
1007	C₂²×C₅₃	—	2	2	no	—
1008	C₂²×C₅₃	—	2	2	no	—
1009	C₂²×C₅₃	—	2	2	no	—
1010	C₂²×C₅₃	—	2	2	no	—
1011	C₂²×C₅₃	—	2	8	no	—
1012	C₂²×C₅₃	—	2	8	no	—
1013	C₂²×C₅₃	—	2	2	no	—
1014	C₂²×C₅₃	—	2	2	no	—
1015	C₂²×C₅₃	—	2	2	no	—
1016	C₂²×C₅₃	—	2	2	no	—
1017	C₂²×C₅₃	—	2	2	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	—	4	16	no	—
1026	C₂²×C₅₃	—	4	4	no	—
1027	C₂²×C₅₃	—	4	4	no	—
1028	C₂²×C₅₃	—	4	4	no	—
1029	C₂²×C₅₃	—	4	4	no	—
1030	C₂²×C₅₃	—	8	8	no	—
1031	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1032	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1033	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1034	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1035	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1036	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1037	C₂×D₅₃	—	2	2	no	—
1038	C₂×D₅₃	—	2	2	no	—
1039	C₂×D₅₃	—	2	8	no	—
1040	C₂×D₅₃	—	2	2	no	—
1041	C₂×D₅₃	—	2	2	no	—
1042	C₂×D₅₃	—	2	2	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	2	no	—
1050	C₂×D₅₃	—	2	2	no	—
1051	C₂×D₅₃	—	2	2	no	—
1052	C₂×D₅₃	—	4	16	no	—
1053	C₂×D₅₃	—	4	4	no	—
1054	C₂×D₅₃	—	4	4	no	—
1055	C₂×D₅₃	—	4	4	no	—
1056	C₂×D₅₃	—	4	4	no	—
1057	C₂×D₅₃	—	8	8	no	—
1058	C₂×D₅₃	—	8	8	no	—
1059	C₂×D₅₃	—	8	8	no	—
1060	C₂×D₅₃	C₂²×#41	1	4	yes	—
1061	C₄×C₅₃	—	2	2	no	—
1062	C₄×C₅₃	—	2	2	no	—
1063	C₄×C₅₃	—	2	2	no	—
1064	C₄×C₅₃	—	2	2	no	—
1065	C₄×C₅₃	—	2	2	no	—
1066	C₄×C₅₃	—	2	2	no	—
1067	C₄×C₅₃	—	2	2	no	—
1068	C₄×C₅₃	—	2	2	no	—
1069	C₄×C₅₃	—	2	2	no	—
1070	Dic₅₃	—	2	2	no	—
1071	Dic₅₃	—	2	2	no	—
1072	Dic₅₃	—	2	2	no	—
1073	Dic₅₃	—	2	2	no	—
1074	Dic₅₃	—	2	2	no	—
1075	Dic₅₃	—	2	2	no	—
1076	Dic₅₃	—	2	2	no	—
1077	Dic₅₃	—	2	2	no	—
1078	Dic₅₃	—	2	2	no	—
1079	Dic₅₃	C₂²×#41	1	4	yes	—
1080	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1081	#3519	—	53	32	no	—
1082	C₂×#555	—	53	1	no	—
1083	C₂×#554	—	53	1	no	—
1084	C₂×#553	—	53	1	no	—
1085	C₂×#553	—	53	1	no	—
1086	C₂×#553	—	53	1	no	—
1087	C₂×#553	—	53	1	no	—
1088	C₂×#550	—	53	1	no	—
1089	C₂×#546	—	53	1	no	—
1090	C₂×#546	—	53	1	no	—
1091	C₂×#546	—	53	1	no	—
1092	C₂×#546	—	53	1	no	—
1093	C₂×#546	—	53	1	no	—
1094	C₂×#546	D₅₃	1	1	yes	characteristic, complemented
1095	C₂×D₄²	—	53	1	no	—
1096	C₂×D₄²	—	53	1	no	—
1097	C₂×D₄²	—	53	1	no	—
1098	C₂×#540	—	53	1	no	—
1099	C₂×#540	—	53	1	no	—
1100	C₂×#538	—	53	1	no	—
1101	C₂×#538	—	53	1	no	—
1102	C₂×#538	—	53	1	no	—
1103	C₂×#538	—	53	1	no	—
1104	C₂×#532	—	53	1	no	—
1105	C₂×#529	—	53	1	no	—
1106	C₂×#525	—	53	1	no	—
1107	C₂×#525	—	53	1	no	—
1108	C₂²×#121	—	53	1	no	—
1109	C₂²×#121	—	53	1	no	—
1110	C₂×#518	—	53	1	no	—
1111	C₂×#518	—	53	1	no	—
1112	C₂²×C₄×D₄	—	53	1	no	—
1113	C₂×C₅₃	—	2	4	no	—
1114	C₂×C₅₃	—	2	4	no	—
1115	C₂×C₅₃	—	4	2	no	—
1116	C₂×C₅₃	—	4	2	no	—
1117	C₂×C₅₃	—	4	2	no	—
1118	C₂×C₅₃	—	4	2	no	—
1119	C₂×C₅₃	#3519	1	4	yes	complemented
1120	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1121	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1122	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1123	D₅₃	—	2	4	no	—
1124	D₅₃	—	4	2	no	—
1125	D₅₃	—	4	2	no	—
1126	D₅₃	—	4	2	no	—
1127	D₅₃	—	4	2	no	—
1128	C₂²×#41	—	53	1	no	—
1129	C₂²×#41	—	53	1	no	—
1130	C₂²×#41	—	53	1	no	—
1131	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1132	C₂³×D₄	—	53	1	no	—
1133	C₂³×D₄	—	53	1	no	—
1134	C₂³×D₄	—	53	1	no	—
1135	C₂³×D₄	—	53	1	no	—
1136	C₂³×D₄	—	53	1	no	—
1137	C₂³×D₄	—	53	1	no	—
1138	C₂³×D₄	—	53	1	no	—
1139	C₂³×D₄	—	53	1	no	—
1140	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1141	C₂⁴×C₄	—	53	1	no	—
1142	C₂⁴×C₄	—	53	1	no	—
1143	#555	—	53	16	no	—
1144	#554	—	53	16	no	—
1145	#553	—	53	16	no	—
1146	#553	—	53	16	no	—
1147	#553	—	53	16	no	—
1148	#553	—	53	16	no	—
1149	#550	—	53	16	no	—
1150	#546	—	53	16	no	—
1151	#546	—	53	16	no	—
1152	#546	—	53	16	no	—
1153	#546	—	53	16	no	—
1154	#546	—	53	16	no	—
1155	#546	C₂×D₅₃	1	16	yes	complemented
1156	D₄²	—	53	16	no	—
1157	D₄²	—	53	16	no	—
1158	D₄²	—	53	16	no	—
1159	#540	—	53	16	no	—
1160	#540	—	53	16	no	—
1161	#538	—	53	16	no	—
1162	#538	—	53	16	no	—
1163	#538	—	53	16	no	—
1164	#538	—	53	16	no	—
1165	#532	—	53	16	no	—
1166	C₂×C₄⋊Q₈	—	53	1	no	—
1167	C₂×#127	—	53	1	no	—
1168	C₂×#127	—	53	1	no	—
1169	C₂×#127	—	53	1	no	—
1170	#529	—	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×#125	—	53	1	no	—
1178	C₂×#125	—	53	1	no	—
1179	C₂×#125	—	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	C₂×#123	—	53	1	no	—
1190	C₂×#123	—	53	1	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	C₂×D₅₃	1	1	yes	characteristic, complemented
1202	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1203	C₂×C₂²⋊Q₈	—	53	1	no	—
1204	C₂×C₂²⋊Q₈	—	53	1	no	—
1205	C₂×C₂²⋊Q₈	—	53	1	no	—
1206	C₂×C₂²⋊Q₈	—	53	1	no	—
1207	C₂×C₂²⋊Q₈	—	53	1	no	—
1208	C₂×C₂²⋊Q₈	—	53	1	no	—
1209	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1210	C₂×#121	—	53	1	no	—
1211	C₂×#121	—	53	1	no	—
1212	C₂×#121	—	53	1	no	—
1213	C₂×#121	—	53	1	no	—
1214	C₂×#121	—	53	1	no	—
1215	C₂×#121	—	53	1	no	—
1216	C₂×#121	—	53	1	no	—
1217	C₂×#121	—	53	1	no	—
1218	C₂×#121	—	53	1	no	—
1219	C₂×#121	—	53	1	no	—
1220	C₂×#121	—	53	1	no	—
1221	C₂×#121	—	53	1	no	—
1222	C₂×#121	—	53	1	no	—
1223	C₂×#121	—	53	1	no	—
1224	C₂×#121	—	53	1	no	—
1225	C₂×#121	—	53	1	no	—
1226	C₂×#121	—	53	1	no	—
1227	C₂×#121	—	53	1	no	—
1228	C₂×#121	—	53	16	no	—
1229	C₂×#121	—	53	1	no	—
1230	C₂×#121	—	53	1	no	—
1231	C₂×#121	—	53	1	no	—
1232	C₂×#121	—	53	16	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	—	53	1	no	—
1241	C₂×#121	—	53	1	no	—
1242	C₂×#121	—	53	1	no	—
1243	C₂×#121	—	53	1	no	—
1244	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1245	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1246	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
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	1	no	—
1257	C₂×#120	C₂×D₅₃	1	1	yes	characteristic, complemented
1258	C₂×#120	C₂×D₅₃	1	1	yes	characteristic, complemented
1259	#518	—	53	16	no	—
1260	#518	—	53	16	no	—
1261	C₂×C₄×Q₈	—	53	1	no	—
1262	C₂×C₄×D₄	—	53	1	no	—
1263	C₂×C₄×D₄	—	53	1	no	—
1264	C₂×C₄×D₄	—	53	1	no	—
1265	C₂×C₄×D₄	—	53	1	no	—
1266	C₂×C₄×D₄	—	53	1	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	—	53	1	no	—
1290	C₂×C₄×D₄	—	53	16	no	—
1291	C₂×C₄×D₄	—	53	1	no	—
1292	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1293	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
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	C₂×#117	—	53	1	no	—
1300	C₂²×C₄⋊C₄	—	53	1	no	—
1301	C₂²×C₄⋊C₄	—	53	1	no	—
1302	C₂²×C₄⋊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	C₂×D₅₃	1	1	yes	characteristic, complemented
1312	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1313	C₂²×C₄²	—	53	1	no	—
1314	C₅₃	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
1315	C₂⁵	—	53	1	no	—
1316	C₂⁵	—	53	1	no	—
1317	C₂⁵	—	53	1	no	—
1318	C₂⁵	—	53	1	no	—
1319	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1320	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1321	C₂×#41	—	4	4	no	—
1322	C₂×#41	—	53	8	no	—
1323	C₂×#41	—	53	8	no	—
1324	C₂×#41	—	53	8	no	—
1325	C₂×#41	—	212	4	no	—
1326	C₂×#41	—	212	4	no	—
1327	C₂×#41	—	212	4	no	—
1328	C₂×#41	C₂²×D₅₃	1	8	yes	complemented
1329	C₂²×Q₈	—	53	1	no	—
1330	C₂²×Q₈	—	53	1	no	—
1331	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1332	C₂²×D₄	—	4	4	no	—
1333	C₂²×D₄	—	53	1	no	—
1334	C₂²×D₄	—	53	1	no	—
1335	C₂²×D₄	—	53	1	no	—
1336	C₂²×D₄	—	53	1	no	—
1337	C₂²×D₄	—	53	1	no	—
1338	C₂²×D₄	—	53	1	no	—
1339	C₂²×D₄	—	53	1	no	—
1340	C₂²×D₄	—	53	1	no	—
1341	C₂²×D₄	—	53	8	no	—
1342	C₂²×D₄	—	53	1	no	—
1343	C₂²×D₄	—	53	1	no	—
1344	C₂²×D₄	—	53	1	no	—
1345	C₂²×D₄	—	53	1	no	—
1346	C₂²×D₄	—	53	1	no	—
1347	C₂²×D₄	—	53	1	no	—
1348	C₂²×D₄	—	53	8	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	8	no	—
1358	C₂²×D₄	—	53	8	no	—
1359	C₂²×D₄	—	53	8	no	—
1360	C₂²×D₄	—	53	8	no	—
1361	C₂²×D₄	—	53	8	no	—
1362	C₂²×D₄	—	53	8	no	—
1363	C₂²×D₄	—	53	1	no	—
1364	C₂²×D₄	—	53	1	no	—
1365	C₂²×D₄	—	53	1	no	—
1366	C₂²×D₄	—	53	1	no	—
1367	C₂²×D₄	—	53	1	no	—
1368	C₂²×D₄	—	53	1	no	—
1369	C₂²×D₄	—	106	8	no	—
1370	C₂²×D₄	—	106	8	no	—
1371	C₂²×D₄	—	106	8	no	—
1372	C₂²×D₄	—	212	4	no	—
1373	C₂²×D₄	—	212	4	no	—
1374	C₂²×D₄	—	212	4	no	—
1375	C₂²×D₄	—	212	4	no	—
1376	C₂²×D₄	—	212	4	no	—
1377	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
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	1	yes	characteristic
1386	C₂²×D₄	C₂²×D₅₃	1	8	yes	complemented
1387	C₂³×C₄	—	53	1	no	—
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	8	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	1	no	—
1407	C₂³×C₄	—	53	1	no	—
1408	C₂³×C₄	—	53	1	no	—
1409	C₂³×C₄	—	53	8	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
1416	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1417	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1418	C₄⋊Q₈	—	53	8	no	—
1419	#127	—	53	8	no	—
1420	#127	—	53	8	no	—
1421	#127	—	53	8	no	—
1422	#126	—	53	8	no	—
1423	#126	—	53	8	no	—
1424	#126	—	53	8	no	—
1425	#126	—	53	8	no	—
1426	#126	—	53	8	no	—
1427	#126	—	53	8	no	—
1428	#125	—	53	8	no	—
1429	#125	—	53	8	no	—
1430	#125	—	53	8	no	—
1431	#124	—	53	8	no	—
1432	#124	—	53	8	no	—
1433	#124	—	53	8	no	—
1434	#124	—	53	8	no	—
1435	#124	—	53	8	no	—
1436	#124	—	53	8	no	—
1437	#124	C₂²×D₅₃	1	8	yes	complemented
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	C₂²×D₅₃	1	8	yes	complemented
1451	#123	C₂²×D₅₃	1	8	yes	complemented
1452	C₂²⋊Q₈	—	53	8	no	—
1453	C₂²⋊Q₈	—	53	8	no	—
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	C₂²×D₅₃	1	8	yes	complemented
1459	#121	—	53	8	no	—
1460	#121	—	53	8	no	—
1461	#121	—	53	8	no	—
1462	#121	—	53	8	no	—
1463	#121	—	53	8	no	—
1464	#121	—	53	8	no	—
1465	#121	—	53	8	no	—
1466	#121	—	53	8	no	—
1467	#121	—	53	8	no	—
1468	#121	—	53	8	no	—
1469	#121	—	53	8	no	—
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	—	53	8	no	—
1484	#121	—	53	8	no	—
1485	#121	—	53	8	no	—
1486	#121	—	53	8	no	—
1487	#121	—	53	8	no	—
1488	#121	—	53	8	no	—
1489	#121	—	53	8	no	—
1490	#121	—	53	8	no	—
1491	#121	C₂²×D₅₃	1	8	yes	complemented
1492	#121	C₂²×D₅₃	1	8	yes	complemented
1493	#121	C₂²×D₅₃	1	8	yes	complemented
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	complemented
1505	#120	C₂²×D₅₃	1	8	yes	complemented
1506	C₄×Q₈	—	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	—	53	8	no	—
1529	C₄×D₄	—	53	8	no	—
1530	C₄×D₄	—	53	8	no	—
1531	C₄×D₄	—	53	8	no	—
1532	C₄×D₄	—	53	8	no	—
1533	C₄×D₄	—	53	8	no	—
1534	C₄×D₄	—	53	8	no	—
1535	C₄×D₄	—	53	8	no	—
1536	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1537	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1538	#117	—	53	8	no	—
1539	#117	—	53	8	no	—
1540	#117	—	53	8	no	—
1541	#117	—	53	8	no	—
1542	#117	—	53	8	no	—
1543	#117	—	53	8	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	8	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	8	no	—
1556	C₂×C₄⋊C₄	—	53	1	no	—
1557	C₂×C₄⋊C₄	—	53	1	no	—
1558	C₂×C₄⋊C₄	—	53	1	no	—
1559	C₂×C₄⋊C₄	—	53	1	no	—
1560	C₂×C₄⋊C₄	—	53	1	no	—
1561	C₂×C₄⋊C₄	—	53	1	no	—
1562	C₂×C₄⋊C₄	—	53	1	no	—
1563	C₂×C₄⋊C₄	—	53	1	no	—
1564	C₂×C₄⋊C₄	—	53	1	no	—
1565	C₂×C₄⋊C₄	—	53	1	no	—
1566	C₂×C₄⋊C₄	—	53	1	no	—
1567	C₂×C₄⋊C₄	—	53	1	no	—
1568	C₂×C₄⋊C₄	—	53	8	no	—
1569	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1570	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1571	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1572	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1573	C₂×C₂²⋊C₄	—	53	1	no	—
1574	C₂×C₂²⋊C₄	—	53	1	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	1	no	—
1579	C₂×C₂²⋊C₄	—	53	8	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	1	no	—
1592	C₂×C₂²⋊C₄	—	53	1	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	8	no	—
1601	C₂×C₂²⋊C₄	—	53	8	no	—
1602	C₂×C₂²⋊C₄	—	53	8	no	—
1603	C₂×C₂²⋊C₄	—	53	1	no	—
1604	C₂×C₂²⋊C₄	—	53	1	no	—
1605	C₂×C₂²⋊C₄	—	53	1	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	1	no	—
1611	C₂×C₂²⋊C₄	—	53	8	no	—
1612	C₂×C₂²⋊C₄	—	53	8	no	—
1613	C₂×C₂²⋊C₄	—	53	8	no	—
1614	C₂×C₂²⋊C₄	—	53	8	no	—
1615	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1616	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1617	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1618	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1619	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1620	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1621	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1622	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1623	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1624	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1625	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1626	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1627	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1628	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1629	C₂×C₄²	—	53	1	no	—
1630	C₂×C₄²	—	53	1	no	—
1631	C₂×C₄²	—	53	1	no	—
1632	C₂×C₄²	—	53	1	no	—
1633	C₂×C₄²	—	53	1	no	—
1634	C₂×C₄²	—	53	1	no	—
1635	C₂×C₄²	—	53	1	no	—
1636	C₂×C₄²	—	53	1	no	—
1637	C₂×C₄²	—	53	1	no	—
1638	C₂×C₄²	—	53	8	no	—
1639	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1640	C₂⁴	—	2	4	no	—
1641	C₂⁴	—	2	4	no	—
1642	C₂⁴	—	2	4	no	—
1643	C₂⁴	—	4	2	no	—
1644	C₂⁴	—	4	2	no	—
1645	C₂⁴	—	4	2	no	—
1646	C₂⁴	—	53	1	no	—
1647	C₂⁴	—	53	1	no	—
1648	C₂⁴	—	53	1	no	—
1649	C₂⁴	—	53	1	no	—
1650	C₂⁴	—	53	1	no	—
1651	C₂⁴	—	53	4	no	—
1652	C₂⁴	—	53	4	no	—
1653	C₂⁴	—	53	4	no	—
1654	C₂⁴	—	53	4	no	—
1655	C₂⁴	—	106	4	no	—
1656	C₂⁴	—	106	4	no	—
1657	C₂⁴	—	106	4	no	—
1658	C₂⁴	—	106	4	no	—
1659	C₂⁴	—	106	4	no	—
1660	C₂⁴	—	212	2	no	—
1661	C₂⁴	—	212	2	no	—
1662	C₂⁴	—	212	2	no	—
1663	C₂⁴	—	212	2	no	—
1664	C₂⁴	—	212	2	no	—
1665	C₂⁴	—	212	2	no	—
1666	C₂⁴	—	212	2	no	—
1667	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1668	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1669	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1670	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1671	C₂⁴	C₂³×D₅₃	1	4	yes	—
1672	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1673	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1674	C₂⁴	C₂³×D₅₃	1	4	yes	—
1675	#41	—	4	16	no	—
1676	#41	—	212	16	no	—
1677	#41	—	212	16	no	—
1678	#41	—	212	16	no	—
1679	C₂×Q₈	—	4	2	no	—
1680	C₂×Q₈	—	53	4	no	—
1681	C₂×Q₈	—	53	4	no	—
1682	C₂×Q₈	—	106	4	no	—
1683	C₂×Q₈	—	212	2	no	—
1684	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1685	C₂×D₄	—	2	4	no	—
1686	C₂×D₄	—	2	4	no	—
1687	C₂×D₄	—	2	4	no	—
1688	C₂×D₄	—	2	4	no	—
1689	C₂×D₄	—	4	2	no	—
1690	C₂×D₄	—	4	2	no	—
1691	C₂×D₄	—	4	2	no	—
1692	C₂×D₄	—	4	2	no	—
1693	C₂×D₄	—	4	2	no	—
1694	C₂×D₄	—	4	16	no	—
1695	C₂×D₄	—	53	8	no	—
1696	C₂×D₄	—	53	4	no	—
1697	C₂×D₄	—	53	4	no	—
1698	C₂×D₄	—	53	4	no	—
1699	C₂×D₄	—	53	4	no	—
1700	C₂×D₄	—	53	4	no	—
1701	C₂×D₄	—	53	4	no	—
1702	C₂×D₄	—	53	4	no	—
1703	C₂×D₄	—	53	4	no	—
1704	C₂×D₄	—	53	4	no	—
1705	C₂×D₄	—	53	4	no	—
1706	C₂×D₄	—	53	4	no	—
1707	C₂×D₄	—	53	4	no	—
1708	C₂×D₄	—	53	4	no	—
1709	C₂×D₄	—	53	4	no	—
1710	C₂×D₄	—	53	4	no	—
1711	C₂×D₄	—	53	4	no	—
1712	C₂×D₄	—	53	4	no	—
1713	C₂×D₄	—	53	4	no	—
1714	C₂×D₄	—	53	4	no	—
1715	C₂×D₄	—	53	4	no	—
1716	C₂×D₄	—	53	4	no	—
1717	C₂×D₄	—	53	4	no	—
1718	C₂×D₄	—	53	4	no	—
1719	C₂×D₄	—	53	4	no	—
1720	C₂×D₄	—	53	4	no	—
1721	C₂×D₄	—	53	4	no	—
1722	C₂×D₄	—	53	4	no	—
1723	C₂×D₄	—	53	4	no	—
1724	C₂×D₄	—	106	4	no	—
1725	C₂×D₄	—	106	4	no	—
1726	C₂×D₄	—	106	4	no	—
1727	C₂×D₄	—	106	4	no	—
1728	C₂×D₄	—	106	4	no	—
1729	C₂×D₄	—	106	4	no	—
1730	C₂×D₄	—	106	4	no	—
1731	C₂×D₄	—	106	32	no	—
1732	C₂×D₄	—	106	32	no	—
1733	C₂×D₄	—	106	32	no	—
1734	C₂×D₄	—	106	4	no	—
1735	C₂×D₄	—	106	4	no	—
1736	C₂×D₄	—	106	4	no	—
1737	C₂×D₄	—	106	4	no	—
1738	C₂×D₄	—	106	4	no	—
1739	C₂×D₄	—	106	4	no	—
1740	C₂×D₄	—	106	4	no	—
1741	C₂×D₄	—	212	2	no	—
1742	C₂×D₄	—	212	2	no	—
1743	C₂×D₄	—	212	2	no	—
1744	C₂×D₄	—	212	2	no	—
1745	C₂×D₄	—	212	2	no	—
1746	C₂×D₄	—	212	16	no	—
1747	C₂×D₄	—	212	16	no	—
1748	C₂×D₄	—	212	2	no	—
1749	C₂×D₄	—	212	2	no	—
1750	C₂×D₄	—	212	2	no	—
1751	C₂×D₄	—	212	2	no	—
1752	C₂×D₄	—	212	2	no	—
1753	C₂×D₄	—	212	2	no	—
1754	C₂×D₄	—	212	2	no	—
1755	C₂×D₄	—	212	2	no	—
1756	C₂×D₄	—	212	16	no	—
1757	C₂×D₄	—	212	16	no	—
1758	C₂×D₄	—	212	16	no	—
1759	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1760	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1761	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1762	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1763	C₂×D₄	C₂³×D₅₃	1	4	yes	—
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	C₂²×C₄	—	2	4	no	—
1769	C₂²×C₄	—	4	2	no	—
1770	C₂²×C₄	—	4	2	no	—
1771	C₂²×C₄	—	4	2	no	—
1772	C₂²×C₄	—	4	2	no	—
1773	C₂²×C₄	—	4	2	no	—
1774	C₂²×C₄	—	53	1	no	—
1775	C₂²×C₄	—	53	1	no	—
1776	C₂²×C₄	—	53	4	no	—
1777	C₂²×C₄	—	53	4	no	—
1778	C₂²×C₄	—	53	4	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	4	no	—
1791	C₂²×C₄	—	53	4	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	—	106	4	no	—
1807	C₂²×C₄	—	106	4	no	—
1808	C₂²×C₄	—	106	4	no	—
1809	C₂²×C₄	—	106	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	—	212	2	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	2	no	—
1822	C₂²×C₄	—	212	16	no	—
1823	C₂²×C₄	—	212	16	no	—
1824	C₂²×C₄	—	212	2	no	—
1825	C₂²×C₄	—	212	2	no	—
1826	C₂²×C₄	—	212	2	no	—
1827	C₂²×C₄	—	212	2	no	—
1828	C₂²×C₄	—	212	2	no	—
1829	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1830	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1831	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1832	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
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	4	yes	—
1840	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1841	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1842	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1843	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1844	C₄⋊C₄	—	53	4	no	—
1845	C₄⋊C₄	—	53	4	no	—
1846	C₄⋊C₄	—	53	4	no	—
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	C₂³×D₅₃	1	4	yes	—
1867	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1868	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1869	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1870	C₂²⋊C₄	—	53	4	no	—
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	C₂³×D₅₃	1	4	yes	—
1905	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1906	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1907	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1908	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1909	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1910	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1911	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1912	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1913	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1914	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1915	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1916	C₄²	—	53	4	no	—
1917	C₄²	—	53	4	no	—
1918	C₄²	—	53	4	no	—
1919	C₄²	—	53	4	no	—
1920	C₄²	—	53	4	no	—
1921	C₄²	—	53	4	no	—
1922	C₄²	—	53	4	no	—
1923	C₄²	—	53	4	no	—
1924	C₄²	—	53	4	no	—
1925	C₄²	C₂³×D₅₃	1	4	yes	—
1926	C₂³	—	2	2	no	—
1927	C₂³	—	2	2	no	—
1928	C₂³	—	2	2	no	—
1929	C₂³	—	2	2	no	—
1930	C₂³	—	2	2	no	—
1931	C₂³	—	2	2	no	—
1932	C₂³	—	2	8	no	—
1933	C₂³	—	2	2	no	—
1934	C₂³	—	2	2	no	—
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	8	no	—
1945	C₂³	—	4	4	no	—
1946	C₂³	—	4	4	no	—
1947	C₂³	—	4	4	no	—
1948	C₂³	—	4	16	no	—
1949	C₂³	—	8	8	no	—
1950	C₂³	—	53	4	no	—
1951	C₂³	—	53	2	no	—
1952	C₂³	—	53	2	no	—
1953	C₂³	—	53	2	no	—
1954	C₂³	—	53	2	no	—
1955	C₂³	—	53	2	no	—
1956	C₂³	—	106	8	no	—
1957	C₂³	—	106	8	no	—
1958	C₂³	—	106	8	no	—
1959	C₂³	—	106	2	no	—
1960	C₂³	—	106	2	no	—
1961	C₂³	—	106	8	no	—
1962	C₂³	—	106	2	no	—
1963	C₂³	—	106	2	no	—
1964	C₂³	—	106	2	no	—
1965	C₂³	—	106	2	no	—
1966	C₂³	—	106	2	no	—
1967	C₂³	—	106	2	no	—
1968	C₂³	—	106	2	no	—
1969	C₂³	—	106	2	no	—
1970	C₂³	—	106	2	no	—
1971	C₂³	—	106	2	no	—
1972	C₂³	—	106	2	no	—
1973	C₂³	—	106	8	no	—
1974	C₂³	—	106	2	no	—
1975	C₂³	—	424	8	no	—
1976	C₂³	—	424	8	no	—
1977	C₂³	—	424	8	no	—
1978	C₂³	—	212	4	no	—
1979	C₂³	—	212	4	no	—
1980	C₂³	—	212	4	no	—
1981	C₂³	—	212	4	no	—
1982	C₂³	—	212	4	no	—
1983	C₂³	—	212	4	no	—
1984	C₂³	—	212	4	no	—
1985	C₂³	—	212	16	no	—
1986	C₂³	#41×D₅₃	1	4	yes	—
1987	C₂³	#13133262	1	4	yes	—
1988	C₂³	C₂⁴×D₅₃	1	2	yes	—
1989	C₂³	C₂⁴×D₅₃	1	2	yes	—
1990	C₂³	C₂⁴×D₅₃	1	2	yes	—
1991	C₂³	C₂⁴×D₅₃	1	2	yes	—
1992	C₂³	C₂⁴×D₅₃	1	2	yes	—
1993	C₂³	C₂⁴×D₅₃	1	2	yes	—
1994	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1995	Q₈	—	4	4	no	—
1996	Q₈	—	106	8	no	—
1997	Q₈	—	212	4	no	—
1998	D₄	—	2	8	no	—
1999	D₄	—	2	8	no	—
2000	D₄	—	2	8	no	—
2001	D₄	—	2	8	no	—
2002	D₄	—	4	4	no	—
2003	D₄	—	4	4	no	—
2004	D₄	—	4	4	no	—
2005	D₄	—	4	4	no	—
2006	D₄	—	4	4	no	—
2007	D₄	—	53	16	no	—
2008	D₄	—	106	8	no	—
2009	D₄	—	106	8	no	—
2010	D₄	—	106	8	no	—
2011	D₄	—	106	8	no	—
2012	D₄	—	106	8	no	—
2013	D₄	—	106	8	no	—
2014	D₄	—	106	8	no	—
2015	D₄	—	106	8	no	—
2016	D₄	—	106	8	no	—
2017	D₄	—	106	8	no	—
2018	D₄	—	106	8	no	—
2019	D₄	—	106	8	no	—
2020	D₄	—	106	8	no	—
2021	D₄	—	106	8	no	—
2022	D₄	—	212	4	no	—
2023	D₄	—	212	4	no	—
2024	D₄	—	212	4	no	—
2025	D₄	—	212	4	no	—
2026	D₄	—	212	4	no	—
2027	D₄	—	212	4	no	—
2028	D₄	—	212	4	no	—
2029	D₄	—	212	4	no	—
2030	D₄	—	212	4	no	—
2031	D₄	—	212	4	no	—
2032	D₄	—	212	4	no	—
2033	D₄	—	212	4	no	—
2034	D₄	—	212	4	no	—
2035	C₂×C₄	—	2	2	no	—
2036	C₂×C₄	—	2	2	no	—
2037	C₂×C₄	—	2	2	no	—
2038	C₂×C₄	—	2	2	no	—
2039	C₂×C₄	—	2	2	no	—
2040	C₂×C₄	—	2	2	no	—
2041	C₂×C₄	—	2	8	no	—
2042	C₂×C₄	—	2	2	no	—
2043	C₂×C₄	—	2	2	no	—
2044	C₂×C₄	—	2	2	no	—
2045	C₂×C₄	—	4	4	no	—
2046	C₂×C₄	—	4	4	no	—
2047	C₂×C₄	—	4	4	no	—
2048	C₂×C₄	—	4	4	no	—
2049	C₂×C₄	—	4	4	no	—
2050	C₂×C₄	—	53	4	no	—
2051	C₂×C₄	—	53	4	no	—
2052	C₂×C₄	—	53	2	no	—
2053	C₂×C₄	—	53	2	no	—
2054	C₂×C₄	—	53	2	no	—
2055	C₂×C₄	—	53	2	no	—
2056	C₂×C₄	—	53	2	no	—
2057	C₂×C₄	—	53	2	no	—
2058	C₂×C₄	—	53	2	no	—
2059	C₂×C₄	—	53	2	no	—
2060	C₂×C₄	—	53	2	no	—
2061	C₂×C₄	—	53	2	no	—
2062	C₂×C₄	—	53	2	no	—
2063	C₂×C₄	—	106	8	no	—
2064	C₂×C₄	—	106	8	no	—
2065	C₂×C₄	—	106	8	no	—
2066	C₂×C₄	—	106	8	no	—
2067	C₂×C₄	—	106	8	no	—
2068	C₂×C₄	—	106	8	no	—
2069	C₂×C₄	—	106	8	no	—
2070	C₂×C₄	—	106	8	no	—
2071	C₂×C₄	—	106	2	no	—
2072	C₂×C₄	—	106	2	no	—
2073	C₂×C₄	—	106	2	no	—
2074	C₂×C₄	—	106	2	no	—
2075	C₂×C₄	—	106	2	no	—
2076	C₂×C₄	—	106	2	no	—
2077	C₂×C₄	—	106	2	no	—
2078	C₂×C₄	—	106	2	no	—
2079	C₂×C₄	—	106	2	no	—
2080	C₂×C₄	—	212	4	no	—
2081	C₂×C₄	—	212	4	no	—
2082	C₂×C₄	—	212	4	no	—
2083	C₂×C₄	—	212	4	no	—
2084	C₂×C₄	—	212	4	no	—
2085	C₂×C₄	—	212	4	no	—
2086	C₂×C₄	—	212	4	no	—
2087	C₂×C₄	—	212	4	no	—
2088	C₂×C₄	—	212	4	no	—
2089	C₂×C₄	—	212	4	no	—
2090	C₂×C₄	—	212	4	no	—
2091	C₂×C₄	—	212	4	no	—
2092	C₂×C₄	—	212	4	no	—
2093	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2094	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2095	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2096	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2097	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2098	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2099	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2100	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2101	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2102	C₂²	—	2	8	no	—
2103	C₂²	—	2	8	no	—
2104	C₂²	—	2	2	no	—
2105	C₂²	—	2	2	no	—
2106	C₂²	—	2	2	no	—
2107	C₂²	—	2	2	no	—
2108	C₂²	—	2	2	no	—
2109	C₂²	—	2	2	no	—
2110	C₂²	—	2	2	no	—
2111	C₂²	—	2	2	no	—
2112	C₂²	—	2	2	no	—
2113	C₂²	—	2	2	no	—
2114	C₂²	—	2	2	no	—
2115	C₂²	—	2	2	no	—
2116	C₂²	—	2	2	no	—
2117	C₂²	—	2	2	no	—
2118	C₂²	—	2	2	no	—
2119	C₂²	—	2	2	no	—
2120	C₂²	—	4	16	no	—
2121	C₂²	—	4	4	no	—
2122	C₂²	—	4	4	no	—
2123	C₂²	—	4	4	no	—
2124	C₂²	—	4	4	no	—
2125	C₂²	—	8	8	no	—
2126	C₂²	—	53	4	no	—
2127	C₂²	—	106	8	no	—
2128	C₂²	—	106	2	no	—
2129	C₂²	—	106	2	no	—
2130	C₂²	—	106	2	no	—
2131	C₂²	—	106	2	no	—
2132	C₂²	—	106	2	no	—
2133	C₂²	—	106	2	no	—
2134	C₂²	—	106	2	no	—
2135	C₂²	—	106	2	no	—
2136	C₂²	—	106	2	no	—
2137	C₂²	—	106	2	no	—
2138	C₂²	—	106	2	no	—
2139	C₂²	—	106	2	no	—
2140	C₂²	—	106	2	no	—
2141	C₂²	—	106	2	no	—
2142	C₂²	—	424	8	no	—
2143	C₂²	—	424	8	no	—
2144	C₂²	—	424	8	no	—
2145	C₂²	—	212	16	no	—
2146	C₂²	—	212	4	no	—
2147	C₂²	—	212	4	no	—
2148	C₂²	—	212	4	no	—
2149	C₂²	—	212	4	no	—
2150	C₂²	C₂×#41×D₅₃	1	4	yes	—
2151	C₂²	C₂×#41×D₅₃	1	2	yes	—
2152	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2153	C₂²	C₂×#13133262	1	4	yes	—
2154	C₂²	C₂×#13133262	1	2	yes	—
2155	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2156	C₄	—	2	2	no	—
2157	C₄	—	2	2	no	—
2158	C₄	—	2	2	no	—
2159	C₄	—	2	2	no	—
2160	C₄	—	2	2	no	—
2161	C₄	—	2	2	no	—
2162	C₄	—	2	2	no	—
2163	C₄	—	2	2	no	—
2164	C₄	—	2	2	no	—
2165	C₄	—	53	4	no	—
2166	C₄	—	53	4	no	—
2167	C₄	—	106	2	no	—
2168	C₄	—	106	2	no	—
2169	C₄	—	106	2	no	—
2170	C₄	—	106	2	no	—
2171	C₄	—	106	2	no	—
2172	C₄	—	106	2	no	—
2173	C₄	—	106	2	no	—
2174	C₄	—	106	2	no	—
2175	C₄	—	106	2	no	—
2176	C₂	—	2	4	no	—
2177	C₂	—	2	4	no	—
2178	C₂	—	4	2	no	—
2179	C₂	—	4	2	no	—
2180	C₂	—	4	2	no	—
2181	C₂	—	4	2	no	—
2182	C₂	—	106	4	no	—
2183	C₂	—	212	2	no	—
2184	C₂	—	212	2	no	—
2185	C₂	—	212	2	no	—
2186	C₂	—	212	2	no	—
2187	C₂	#20288736	1	4	yes	direct product factor
2188	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2189	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2190	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×#3519
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. #20288736	C₂	direct (N × H)
2. C₂×#16811335	C₂	semidirect
3. C₂×#16811327	C₂	semidirect
4. C₂×#16811322	C₂	semidirect
5. C₂×#16811322	C₂	semidirect
6. C₂×#16811318	C₂	semidirect
7. C₂×#16811316	C₂	semidirect
8. C₂×#16811291	C₂	semidirect
9. C₂×#16811265	C₂	semidirect
10. C₂×#16811263	C₂	semidirect
11. C₂×#16811263	C₂	semidirect
12. C₂×#16811262	C₂	semidirect
13. C₂×#16811261	C₂	semidirect
14. C₂×D₄×C₂²⋊D₅₃	C₂	semidirect
15. C₂×#16811255	C₂	semidirect
16. C₂×#16811255	C₂	semidirect
17. C₂×#16811225	C₂	semidirect
18. C₂×#16811223	C₂	semidirect
19. C₂×#16811213	C₂	semidirect
20. C₂×#16811208	C₂	semidirect
21. C₂×#16811207	C₂	semidirect
22. C₂×#16811205	C₂	semidirect
23. C₂×#16811169	C₂	semidirect
24. C₂×#16811150	C₂	semidirect
25. C₂×#16811132	C₂	semidirect
26. C₂×#16811129	C₂	semidirect
27. C₂²×#13133189	C₂	semidirect
28. C₂×#121×D₅₃	C₂	semidirect
29. C₂×#16811096	C₂	semidirect
30. C₂×#16811095	C₂	semidirect
31. C₂²×#13133177	C₂	semidirect
32. C₂×C₅₃×#546	C₂	semidirect
33. C₂²×#11719945	C₂²	semidirect
34. C₂²×#11719945	C₂²	semidirect
35. C₂²×#11719947	C₂²	semidirect
38. C₂³×C₂²⋊D₅₃	C₂²	semidirect
39. C₂³×C₂²⋊D₅₃	C₂²	semidirect
41. C₂²×D₄×D₅₃	C₂²	semidirect
42. C₂²×D₄×D₅₃	C₂²	semidirect
43. C₂²×D₄×D₅₃	C₂²	semidirect
44. C₂⁴×Dic₅₃	C₂²	semidirect
45. C₂³×C₄×D₅₃	C₂²	semidirect
46. #16811335	C₂²	semidirect
47. #16811327	C₂²	semidirect
48. #16811322	C₂²	semidirect
49. #16811322	C₂²	semidirect
50. #16811318	C₂²	semidirect
51. #16811316	C₂²	semidirect
52. #16811291	C₂²	semidirect
53. #16811265	C₂²	semidirect
54. #16811263	C₂²	semidirect
55. #16811263	C₂²	semidirect
56. #16811262	C₂²	semidirect
57. #16811261	C₂²	semidirect
58. D₄×C₂²⋊D₅₃	C₂²	semidirect
59. #16811255	C₂²	semidirect
60. #16811255	C₂²	semidirect
61. #16811225	C₂²	semidirect
62. #16811223	C₂²	semidirect
63. #16811213	C₂²	semidirect
64. #16811208	C₂²	semidirect
65. #16811207	C₂²	semidirect
66. #16811205	C₂²	semidirect
67. #16811169	C₂²	semidirect
68. C₂×#13133215	C₂²	semidirect
69. C₂×#13133213	C₂²	semidirect
70. C₂×#13133213	C₂²	semidirect
71. C₂×#13133213	C₂²	semidirect
72. #16811150	C₂²	semidirect
73. C₂×#13133212	C₂²	semidirect
74. C₂×#13133212	C₂²	semidirect
75. C₂×#13133211	C₂²	semidirect
76. C₂×#13133210	C₂²	semidirect
77. C₂×#13133210	C₂²	semidirect
78. C₂×#13133210	C₂²	semidirect
79. C₂×#13133207	C₂²	semidirect
80. C₂×#13133207	C₂²	semidirect
81. C₂×#13133207	C₂²	semidirect
82. C₂×#13133206	C₂²	semidirect
83. C₂×#13133206	C₂²	semidirect
84. C₂×#13133204	C₂²	semidirect
85. C₂×#13133203	C₂²	semidirect
86. C₂×#13133203	C₂²	semidirect
87. C₂×#13133203	C₂²	semidirect
88. #16811132	C₂²	semidirect
89. #16811129	C₂²	semidirect
90. C₂×#13133202	C₂²	semidirect
91. C₂×#13133202	C₂²	semidirect
92. C₂×#13133202	C₂²	semidirect
93. C₂×#13133201	C₂²	semidirect
94. C₂×#13133200	C₂²	semidirect
95. C₂×#13133200	C₂²	semidirect
96. C₂×#13133200	C₂²	semidirect
97. C₂×#13133199	C₂²	semidirect
98. C₂×#13133199	C₂²	semidirect
99. C₂×#13133199	C₂²	semidirect
100. C₂×#13133198	C₂²	semidirect
101. C₂×#13133198	C₂²	semidirect
102. C₂×#13133195	C₂²	semidirect
103. C₂×#13133195	C₂²	semidirect
104. C₂×#13133194	C₂²	semidirect
105. C₂×#13133194	C₂²	semidirect
106. C₂×#13133194	C₂²	semidirect
107. C₂×#13133193	C₂²	semidirect
108. C₂×#13133192	C₂²	semidirect
109. C₂×#13133192	C₂²	semidirect
110. C₂×#13133191	C₂²	semidirect
111. C₂×#13133191	C₂²	semidirect
112. C₂×#13133191	C₂²	semidirect
113. C₂×#13133190	C₂²	semidirect
114. C₂×#13133190	C₂²	semidirect
115. C₂×#13133190	C₂²	semidirect
116. C₂×#13133190	C₂²	semidirect
117. C₂×#13133190	C₂²	semidirect
118. C₂×#13133190	C₂²	semidirect
119. C₂×#13133190	C₂²	semidirect
120. C₂×#13133190	C₂²	semidirect
121. C₂×#13133190	C₂²	semidirect
123. C₂×#13133189	C₂²	semidirect
124. C₂×#13133189	C₂²	semidirect
125. C₂×#13133189	C₂²	semidirect
126. C₂×#13133189	C₂²	semidirect
127. C₂×#13133189	C₂²	semidirect
128. C₂×#13133189	C₂²	semidirect
129. C₂×#13133189	C₂²	semidirect
130. C₂×#13133189	C₂²	semidirect
131. C₂×#13133189	C₂²	semidirect
132. C₂×#13133189	C₂²	semidirect
133. C₂×#13133189	C₂²	semidirect
134. C₂×#13133189	C₂²	semidirect
135. C₂×#13133189	C₂²	semidirect
136. C₂×#13133189	C₂²	semidirect
137. C₂×#13133189	C₂²	semidirect
138. C₂×#13133189	C₂²	semidirect
139. C₂×#13133188	C₂²	semidirect
140. C₂×#13133188	C₂²	semidirect
141. #121×D₅₃	C₂²	semidirect
142. C₂×#13133187	C₂²	semidirect
143. C₂×#13133187	C₂²	semidirect
144. C₂×#13133187	C₂²	semidirect
145. C₂×#13133187	C₂²	semidirect
146. C₂×#13133186	C₂²	semidirect
147. C₂×#13133186	C₂²	semidirect
148. C₂×#13133185	C₂²	semidirect
149. C₂×#13133185	C₂²	semidirect
150. C₂×#13133185	C₂²	semidirect
151. C₂×#13133185	C₂²	semidirect
152. #16811096	C₂²	semidirect
153. #16811095	C₂²	semidirect
154. C₂×#13133182	C₂²	semidirect
155. C₂×C₄×D₂₁₂	C₂²	semidirect
156. C₂×D₄×Dic₅₃	C₂²	semidirect
157. C₂×D₄×Dic₅₃	C₂²	semidirect
158. C₂×D₄×Dic₅₃	C₂²	semidirect
159. C₂×#13133179	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×C₄×C₂²⋊D₅₃	C₂²	semidirect
168. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
172. C₂×#13133177	C₂²	semidirect
173. C₂×#13133177	C₂²	semidirect
174. C₂×#13133177	C₂²	semidirect
175. C₂×#13133177	C₂²	semidirect
176. C₂×#13133177	C₂²	semidirect
177. C₂×#13133177	C₂²	semidirect
178. C₂×#13133177	C₂²	semidirect
179. C₂×#13133177	C₂²	semidirect
180. C₂×#13133177	C₂²	semidirect
181. C₂×#13133177	C₂²	semidirect
182. C₂×#13133177	C₂²	semidirect
183. C₂×#13133177	C₂²	semidirect
184. C₂×#13133177	C₂²	semidirect
185. C₂×#13133175	C₂²	semidirect
186. C₂×#13133174	C₂²	semidirect
187. C₂×#13133174	C₂²	semidirect
188. C₂×#13133173	C₂²	semidirect
189. C₂×#13133173	C₂²	semidirect
190. C₂×#13133173	C₂²	semidirect
191. C₂²×#11719919	C₂²	semidirect
192. C₂²×#11719919	C₂²	semidirect
193. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
194. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
195. C₂²×#11719921	C₂²	semidirect
196. C₂²×#11719921	C₂²	semidirect
197. C₂²×#11719921	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. C₂²×C₄×Dic₅₃	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
213. C₂×#120×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
225. C₂×#11719945	C₂³	semidirect
226. C₂×#11719945	C₂³	semidirect
228. C₂×#11719947	C₂³	semidirect
265. C₂²×C₂²⋊D₅₃	C₂³	semidirect
266. C₂²×C₂²⋊D₅₃	C₂³	semidirect
272. C₂×D₄×D₅₃	C₂³	semidirect
273. C₂×D₄×D₅₃	C₂³	semidirect
274. C₂×D₄×D₅₃	C₂³	semidirect
286. C₂³×Dic₅₃	C₂³	semidirect
299. C₂²×C₄×D₅₃	C₂³	semidirect
300. #13133215	C₂³	semidirect
301. #13133213	C₂³	semidirect
302. #13133213	C₂³	semidirect
303. #13133213	C₂³	semidirect
304. #13133212	C₂³	semidirect
305. #13133212	C₂³	semidirect
306. #13133211	C₂³	semidirect
307. #13133210	C₂³	semidirect
308. #13133210	C₂³	semidirect
309. #13133210	C₂³	semidirect
310. #13133207	C₂³	semidirect
311. #13133207	C₂³	semidirect
312. #13133207	C₂³	semidirect
313. #13133206	C₂³	semidirect
314. #13133206	C₂³	semidirect
315. #13133204	C₂³	semidirect
316. #13133203	C₂³	semidirect
317. #13133203	C₂³	semidirect
318. #13133203	C₂³	semidirect
319. #13133202	C₂³	semidirect
320. #13133202	C₂³	semidirect
321. #13133202	C₂³	semidirect
322. #13133201	C₂³	semidirect
323. #13133200	C₂³	semidirect
324. #13133200	C₂³	semidirect
325. #13133200	C₂³	semidirect
326. #13133199	C₂³	semidirect
327. #13133199	C₂³	semidirect
328. #13133199	C₂³	semidirect
329. #13133198	C₂³	semidirect
330. #13133198	C₂³	semidirect
331. #13133195	C₂³	semidirect
332. #13133195	C₂³	semidirect
333. #13133194	C₂³	semidirect
334. #13133194	C₂³	semidirect
335. #13133194	C₂³	semidirect
336. #13133193	C₂³	semidirect
337. #13133192	C₂³	semidirect
338. #13133192	C₂³	semidirect
339. #13133191	C₂³	semidirect
340. #13133191	C₂³	semidirect
341. #13133191	C₂³	semidirect
342. #13133190	C₂³	semidirect
343. #13133190	C₂³	semidirect
344. #13133190	C₂³	semidirect
345. #13133190	C₂³	semidirect
346. #13133190	C₂³	semidirect
347. #13133190	C₂³	semidirect
348. #13133190	C₂³	semidirect
349. #13133190	C₂³	semidirect
350. #13133190	C₂³	semidirect
352. #13133189	C₂³	semidirect
353. #13133189	C₂³	semidirect
354. #13133189	C₂³	semidirect
355. #13133189	C₂³	semidirect
356. #13133189	C₂³	semidirect
357. #13133189	C₂³	semidirect
358. #13133189	C₂³	semidirect
359. #13133189	C₂³	semidirect
360. #13133189	C₂³	semidirect
361. #13133189	C₂³	semidirect
362. #13133189	C₂³	semidirect
363. #13133189	C₂³	semidirect
364. #13133189	C₂³	semidirect
365. #13133189	C₂³	semidirect
366. #13133189	C₂³	semidirect
367. #13133188	C₂³	semidirect
368. #13133188	C₂³	semidirect
369. #13133187	C₂³	semidirect
370. #13133187	C₂³	semidirect
371. #13133187	C₂³	semidirect
372. #13133187	C₂³	semidirect
373. #13133186	C₂³	semidirect
374. #13133186	C₂³	semidirect
375. #13133185	C₂³	semidirect
376. #13133185	C₂³	semidirect
377. #13133185	C₂³	semidirect
378. #13133185	C₂³	semidirect
379. #13133182	C₂³	semidirect
380. C₄×D₂₁₂	C₂³	semidirect
381. D₄×Dic₅₃	C₂³	semidirect
382. D₄×Dic₅₃	C₂³	semidirect
383. D₄×Dic₅₃	C₂³	semidirect
384. #13133179	C₂³	semidirect
386. C₄×C₂²⋊D₅₃	C₂³	semidirect
387. C₄×C₂²⋊D₅₃	C₂³	semidirect
388. C₄×C₂²⋊D₅₃	C₂³	semidirect
389. C₄×C₂²⋊D₅₃	C₂³	semidirect
390. C₄×C₂²⋊D₅₃	C₂³	semidirect
391. C₄×C₂²⋊D₅₃	C₂³	semidirect
392. C₄×C₂²⋊D₅₃	C₂³	semidirect
393. C₄×C₂²⋊D₅₃	C₂³	semidirect
397. #13133177	C₂³	semidirect
398. #13133177	C₂³	semidirect
399. #13133177	C₂³	semidirect
400. #13133177	C₂³	semidirect
401. #13133177	C₂³	semidirect
402. #13133177	C₂³	semidirect
403. #13133177	C₂³	semidirect
404. #13133177	C₂³	semidirect
405. #13133177	C₂³	semidirect
406. #13133177	C₂³	semidirect
407. #13133177	C₂³	semidirect
408. #13133177	C₂³	semidirect
409. #13133175	C₂³	semidirect
410. #13133174	C₂³	semidirect
411. #13133174	C₂³	semidirect
412. #13133173	C₂³	semidirect
413. #13133173	C₂³	semidirect
414. #13133173	C₂³	semidirect
437. C₂×#11719919	C₂³	semidirect
438. C₂×#11719919	C₂³	semidirect
439. C₄⋊C₄×D₅₃	C₂³	semidirect
452. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
475. C₂×#11719921	C₂³	semidirect
476. C₂×#11719921	C₂³	semidirect
477. C₂×#11719921	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
491. C₂×C₄×Dic₅₃	C₂³	semidirect
495. C₂×#41×C₅₃	C₂³	semidirect
507. C₂²×D₄×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
521. #120×C₅₃	C₂³	semidirect
522. #120×C₅₃	C₂³	semidirect
523. C₄×D₄×C₅₃	C₂³	semidirect
524. C₄×D₄×C₅₃	C₂³	semidirect
541. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
542. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
647. C₂×C₂²⋊D₅₃	#41	semidirect
954. C₂²⋊D₅₃	C₂×#41	semidirect
1094. C₂×#546	D₅₃	semidirect
1119. C₂×C₅₃	#3519	semidirect
1131. C₂²×#41	C₂×D₅₃	semidirect
1140. C₂³×D₄	C₂×D₅₃	semidirect
1155. #546	C₂×D₅₃	semidirect
1186. C₂×#124	C₂×D₅₃	semidirect
1201. C₂×#123	C₂×D₅₃	semidirect
1202. C₂×#123	C₂×D₅₃	semidirect
1209. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1244. C₂×#121	C₂×D₅₃	semidirect
1245. C₂×#121	C₂×D₅₃	semidirect
1246. C₂×#121	C₂×D₅₃	semidirect
1257. C₂×#120	C₂×D₅₃	semidirect
1258. C₂×#120	C₂×D₅₃	semidirect
1292. C₂×C₄×D₄	C₂×D₅₃	semidirect
1293. C₂×C₄×D₄	C₂×D₅₃	semidirect
1311. C₂²×C₂²⋊C₄	C₂×D₅₃	semidirect
1312. C₂²×C₂²⋊C₄	C₂×D₅₃	semidirect
1314. C₅₃	C₂×#3519	semidirect
1328. C₂×#41	C₂²×D₅₃	semidirect
1386. C₂²×D₄	C₂²×D₅₃	semidirect
1437. #124	C₂²×D₅₃	semidirect
1450. #123	C₂²×D₅₃	semidirect
1451. #123	C₂²×D₅₃	semidirect
1458. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1491. #121	C₂²×D₅₃	semidirect
1492. #121	C₂²×D₅₃	semidirect
1493. #121	C₂²×D₅₃	semidirect
1504. #120	C₂²×D₅₃	semidirect
1505. #120	C₂²×D₅₃	semidirect
1536. C₄×D₄	C₂²×D₅₃	semidirect
1537. C₄×D₄	C₂²×D₅₃	semidirect
1627. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1628. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2187. C₂	#20288736	direct (N × H)

Maximal subgroups

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

subgroup	index
#20288736	2
C₂×#16811335	2
C₂×#16811327	2
C₂×#16811322	2
C₂×#16811318	2
C₂×#16811316	2
C₂×#16811291	2
C₂×#16811265	2
C₂×#16811263	2
C₂×#16811262	2
C₂×#16811261	2
C₂×D₄×C₂²⋊D₅₃	2
C₂×#16811255	2
C₂×#16811225	2
C₂×#16811223	2
C₂×#16811213	2
C₂×#16811208	2
C₂×#16811207	2
C₂×#16811205	2
C₂×#16811169	2
C₂×#16811150	2
C₂×#16811132	2
C₂×#16811129	2
C₂²×#13133189	2
C₂×#121×D₅₃	2
C₂×#16811096	2
C₂×#16811095	2
C₂²×#13133177	2
C₂×C₅₃×#546	2
C₂×#3519	53

Subgroups — C2×#20288736 #28292084

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20288736 #28292084