Subgroups — C₂×#20289225 #28291416

Order 13568.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289225	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811369	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811368	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811357	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811356	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811282	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811279	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811265	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811263	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×#16811261	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×D₄×C₂²⋊D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811255	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811243	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811237	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811211	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811209	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811208	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811206	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811206	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811205	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811189	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811188	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811182	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#16811181	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811169	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811150	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×#13133203	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×Dic₁₀₆	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	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
42	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
43	#16811369	C₂²	1	16	yes	complemented
44	#16811368	C₂²	1	16	yes	complemented
45	#16811366	C₂²	1	16	yes	complemented
46	#16811365	C₂²	1	16	yes	complemented
47	#16811357	C₂²	1	16	yes	complemented
48	#16811356	C₂²	1	16	yes	complemented
49	#16811282	C₂²	1	16	yes	complemented
50	#16811279	C₂²	1	16	yes	complemented
51	#16811265	C₂²	1	16	yes	complemented
52	#16811263	C₂²	1	16	yes	complemented
53	#16811263	C₂²	1	16	yes	complemented
54	#16811262	C₂²	1	16	yes	complemented
55	#16811261	C₂²	1	16	yes	complemented
56	D₄×C₂²⋊D₅₃	C₂²	1	16	yes	complemented
57	#16811255	C₂²	1	16	yes	complemented
58	#16811243	C₂²	1	16	yes	complemented
59	#16811237	C₂²	1	16	yes	complemented
60	#16811211	C₂²	1	16	yes	complemented
61	#16811209	C₂²	1	16	yes	complemented
62	#16811208	C₂²	1	16	yes	complemented
63	#16811206	C₂²	1	16	yes	complemented
64	#16811206	C₂²	1	16	yes	complemented
65	#16811205	C₂²	1	16	yes	complemented
66	#16811189	C₂²	1	16	yes	complemented
67	#16811188	C₂²	1	16	yes	complemented
68	#16811182	C₂²	1	16	yes	complemented
69	#16811181	C₂²	1	16	yes	complemented
70	#16811169	C₂²	1	16	yes	complemented
71	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13133213	C₂²	1	1	yes	characteristic
73	C₂×#13133213	C₂²	1	1	yes	characteristic
74	C₂×#13133213	C₂²	1	1	yes	characteristic, complemented
75	#16811150	C₂²	1	16	yes	complemented
76	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
95	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
96	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
103	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13133203	C₂²	1	16	yes	complemented
108	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13133202	C₂²	1	1	yes	characteristic, complemented
112	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
113	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
118	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
119	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
120	C₂×#13133199	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
122	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
123	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
124	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
126	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
127	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
132	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
133	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
134	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
135	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
136	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
137	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
138	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
139	C₂×#13133190	C₂²	1	1	yes	characteristic
140	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
141	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
142	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
143	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13133190	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13133189	C₂²	1	1	yes	characteristic
146	C₂×#13133189	C₂²	1	1	yes	characteristic
147	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
149	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
150	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
151	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
152	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
153	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
154	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
155	C₂×#13133189	C₂²	1	1	yes	characteristic, complemented
156	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
157	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
158	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
159	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
160	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
161	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
162	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
163	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
164	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
165	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
166	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
167	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
168	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
169	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
171	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
172	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
176	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
178	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
179	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
180	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
181	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
184	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
185	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
189	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
190	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
191	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
192	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
193	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
194	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
195	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
196	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
198	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
199	C₂²×#11719921	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	—	4	4	no	—
230	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
233	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
234	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
235	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
236	C₂²×Dic₁₀₆	C₂³	1	8	yes	complemented
237	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
238	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
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×D₂₁₂	C₂³	1	1	yes	characteristic
243	C₂²×C₂²⋊D₅₃	—	4	4	no	—
244	C₂²×C₂²⋊D₅₃	—	4	4	no	—
245	C₂²×C₂²⋊D₅₃	—	4	4	no	—
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	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	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	1	yes	characteristic
266	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
267	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
268	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	—
269	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
270	C₂²×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
271	C₂×D₄×D₅₃	—	4	4	no	—
272	C₂×D₄×D₅₃	—	4	4	no	—
273	C₂×D₄×D₅₃	—	4	4	no	—
274	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
275	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
276	C₂×D₄×D₅₃	C₂³	1	8	yes	complemented
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	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	1	yes	characteristic
289	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
290	#13133215	C₂³	1	8	yes	complemented
291	#13133213	C₂³	1	8	yes	—
292	#13133213	C₂³	1	8	yes	—
293	#13133213	C₂³	1	8	yes	complemented
294	#13133212	C₂³	1	8	yes	complemented
295	#13133212	C₂³	1	8	yes	complemented
296	#13133211	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	#13133207	C₂³	1	8	yes	complemented
301	#13133206	C₂³	1	8	yes	complemented
302	#13133206	C₂³	1	8	yes	complemented
303	#13133205	C₂³	1	8	yes	complemented
304	#13133205	C₂³	1	8	yes	complemented
305	#13133204	C₂³	1	8	yes	complemented
306	#13133204	C₂³	1	8	yes	complemented
307	#13133204	C₂³	1	8	yes	complemented
308	#13133203	C₂³	1	8	yes	complemented
309	#13133203	C₂³	1	8	yes	complemented
310	#13133203	C₂³	1	8	yes	complemented
311	#13133203	C₂³	1	8	yes	complemented
312	#13133203	C₂³	1	8	yes	complemented
313	#13133203	C₂³	1	8	yes	complemented
314	#13133203	C₂³	1	8	yes	complemented
315	#13133203	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	#13133203	C₂³	1	8	yes	complemented
320	#13133203	C₂³	1	8	yes	complemented
321	#13133203	C₂³	1	8	yes	complemented
322	#13133203	C₂³	1	8	yes	complemented
323	#13133203	C₂³	1	8	yes	complemented
324	#13133203	C₂³	1	8	yes	complemented
325	#13133202	C₂³	1	8	yes	complemented
326	#13133202	C₂³	1	8	yes	complemented
327	#13133202	C₂³	1	8	yes	complemented
328	#13133202	C₂³	1	8	yes	complemented
329	#13133200	C₂³	1	8	yes	complemented
330	#13133200	C₂³	1	8	yes	complemented
331	#13133200	C₂³	1	8	yes	complemented
332	#13133200	C₂³	1	8	yes	complemented
333	#13133200	C₂³	1	8	yes	complemented
334	#13133199	C₂³	1	8	yes	complemented
335	#13133199	C₂³	1	8	yes	complemented
336	#13133199	C₂³	1	8	yes	complemented
337	#13133199	C₂³	1	8	yes	complemented
338	#13133198	C₂³	1	8	yes	complemented
339	#13133198	C₂³	1	8	yes	complemented
340	#13133198	C₂³	1	8	yes	complemented
341	#13133197	C₂³	1	8	yes	complemented
342	#13133196	C₂³	1	8	yes	complemented
343	#13133195	C₂³	1	8	yes	complemented
344	#13133195	C₂³	1	8	yes	complemented
345	#13133195	C₂³	1	8	yes	complemented
346	#13133194	C₂³	1	8	yes	complemented
347	#13133194	C₂³	1	8	yes	complemented
348	#13133194	C₂³	1	8	yes	complemented
349	#13133194	C₂³	1	8	yes	complemented
350	#13133193	C₂³	1	8	yes	complemented
351	#13133192	C₂³	1	8	yes	complemented
352	#13133191	C₂³	1	8	yes	complemented
353	#13133191	C₂³	1	8	yes	complemented
354	#13133191	C₂³	1	8	yes	complemented
355	#13133191	C₂³	1	8	yes	complemented
356	#13133190	C₂³	1	8	yes	—
357	#13133190	C₂³	1	8	yes	complemented
358	#13133190	C₂³	1	8	yes	complemented
359	#13133190	C₂³	1	8	yes	complemented
360	#13133190	C₂³	1	8	yes	complemented
361	#13133190	C₂³	1	8	yes	complemented
362	#13133189	C₂³	1	8	yes	—
363	#13133189	C₂³	1	8	yes	—
364	#13133189	C₂³	1	8	yes	complemented
365	#13133189	C₂³	1	8	yes	complemented
366	#13133189	C₂³	1	8	yes	complemented
367	#13133189	C₂³	1	8	yes	complemented
368	#13133189	C₂³	1	8	yes	complemented
369	#13133189	C₂³	1	8	yes	complemented
370	#13133189	C₂³	1	8	yes	complemented
371	#13133189	C₂³	1	8	yes	complemented
372	#13133189	C₂³	1	8	yes	complemented
373	#13133188	C₂³	1	8	yes	complemented
374	#13133188	C₂³	1	8	yes	complemented
375	#13133187	C₂³	1	8	yes	complemented
376	#13133187	C₂³	1	8	yes	complemented
377	#13133187	C₂³	1	8	yes	complemented
378	#13133187	C₂³	1	8	yes	complemented
379	#13133187	C₂³	1	8	yes	complemented
380	#13133187	C₂³	1	8	yes	complemented
381	#13133186	C₂³	1	8	yes	complemented
382	#13133186	C₂³	1	8	yes	complemented
383	#13133186	C₂³	1	8	yes	complemented
384	#13133186	C₂³	1	8	yes	complemented
385	#13133185	C₂³	1	8	yes	complemented
386	#13133185	C₂³	1	8	yes	complemented
387	#13133185	C₂³	1	8	yes	complemented
388	#13133185	C₂³	1	8	yes	complemented
389	#13133185	C₂³	1	8	yes	complemented
390	#13133185	C₂³	1	8	yes	complemented
391	#13133185	C₂³	1	8	yes	complemented
392	#13133185	C₂³	1	8	yes	complemented
393	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
394	#13133182	C₂³	1	8	yes	complemented
395	#13133182	C₂³	1	8	yes	complemented
396	D₄×Dic₅₃	C₂³	1	8	yes	complemented
397	D₄×Dic₅₃	C₂³	1	8	yes	complemented
398	#13133179	C₂³	1	8	yes	complemented
399	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
400	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
401	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
402	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
403	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
404	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
405	C₄×C₂²⋊D₅₃	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	#13133177	C₂³	1	8	yes	complemented
410	#13133177	C₂³	1	8	yes	complemented
411	#13133175	C₂³	1	8	yes	complemented
412	#13133173	C₂³	1	8	yes	complemented
413	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
417	C₂×#11719919	C₂³	1	1	yes	characteristic
418	C₂×#11719919	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×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
433	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
434	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
435	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
436	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
437	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
438	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
439	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
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	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	8	yes	complemented
475	C₂×#11719921	C₂³	1	8	yes	complemented
476	C₂×#11719921	C₂³	1	8	yes	complemented
477	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
478	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	complemented
479	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
480	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
481	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
489	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
490	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
491	C₂×#41×C₅₃	—	4	4	no	—
492	C₂×#41×C₅₃	C₂³	1	8	yes	complemented
493	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
494	C₂²×D₄×C₅₃	—	4	4	no	—
495	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
496	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
497	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
505	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
506	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
507	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
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	#124×C₅₃	C₂³	1	8	yes	complemented
512	#123×C₅₃	C₂³	1	8	yes	complemented
513	#123×C₅₃	C₂³	1	8	yes	complemented
514	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
515	#121×C₅₃	C₂³	1	8	yes	complemented
516	#121×C₅₃	C₂³	1	8	yes	complemented
517	#121×C₅₃	C₂³	1	8	yes	complemented
518	#120×C₅₃	C₂³	1	8	yes	complemented
519	#120×C₅₃	C₂³	1	8	yes	complemented
520	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
521	C₄×D₄×C₅₃	C₂³	1	8	yes	complemented
522	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₂²⋊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	8	yes	complemented
539	C₂×C₂²⋊C₄×C₅₃	C₂³	1	8	yes	complemented
540	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
541	C₂⁴×C₅₃	—	2	4	no	—
542	C₂⁴×C₅₃	—	4	2	no	—
543	C₂⁴×C₅₃	—	4	2	no	—
544	C₂⁴×C₅₃	—	4	2	no	—
545	C₂⁴×C₅₃	—	4	2	no	—
546	C₂⁴×C₅₃	—	4	2	no	—
547	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
548	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
549	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
554	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
555	C₂³×D₅₃	—	2	4	no	—
556	C₂³×D₅₃	—	4	2	no	—
557	C₂³×D₅₃	—	4	2	no	—
558	C₂³×D₅₃	—	4	2	no	—
559	C₂³×D₅₃	—	4	2	no	—
560	C₂³×D₅₃	—	4	2	no	—
561	C₂³×D₅₃	—	4	2	no	—
562	C₂³×D₅₃	—	4	2	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	C₂⁴	1	1	yes	characteristic
568	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
569	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
570	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
571	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
572	C₂³×D₅₃	C₂⁴	1	4	yes	—
573	C₂³×D₅₃	C₂⁴	1	4	yes	—
574	C₂³×D₅₃	C₂⁴	1	4	yes	—
575	C₂³×D₅₃	C₂⁴	1	4	yes	—
576	#41×C₅₃	—	4	16	no	—
577	C₂×Q₈×C₅₃	—	4	2	no	—
578	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
579	C₂×D₄×C₅₃	—	2	4	no	—
580	C₂×D₄×C₅₃	—	2	4	no	—
581	C₂×D₄×C₅₃	—	2	4	no	—
582	C₂×D₄×C₅₃	—	4	2	no	—
583	C₂×D₄×C₅₃	—	4	2	no	—
584	C₂×D₄×C₅₃	—	4	2	no	—
585	C₂×D₄×C₅₃	—	4	2	no	—
586	C₂×D₄×C₅₃	—	4	2	no	—
587	C₂×D₄×C₅₃	—	4	2	no	—
588	C₂×D₄×C₅₃	—	4	16	no	—
589	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
590	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
591	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
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	C₂²×C₄×C₅₃	—	2	4	no	—
599	C₂²×C₄×C₅₃	—	4	2	no	—
600	C₂²×C₄×C₅₃	—	4	2	no	—
601	C₂²×C₄×C₅₃	—	4	2	no	—
602	C₂²×C₄×C₅₃	—	4	2	no	—
603	C₂²×C₄×C₅₃	—	4	2	no	—
604	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
614	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
615	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
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	C₂×C₂²⋊D₅₃	—	2	4	no	—
620	C₂×C₂²⋊D₅₃	—	2	4	no	—
621	C₂×C₂²⋊D₅₃	—	2	4	no	—
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	—	4	16	no	—
627	C₂×C₂²⋊D₅₃	—	4	16	no	—
628	C₂×C₂²⋊D₅₃	—	4	2	no	—
629	C₂×C₂²⋊D₅₃	—	4	2	no	—
630	C₂×C₂²⋊D₅₃	—	4	2	no	—
631	C₂×C₂²⋊D₅₃	—	4	2	no	—
632	C₂×C₂²⋊D₅₃	—	4	2	no	—
633	C₂×C₂²⋊D₅₃	—	4	2	no	—
634	C₂×C₂²⋊D₅₃	—	4	2	no	—
635	C₂×C₂²⋊D₅₃	—	4	2	no	—
636	C₂×C₂²⋊D₅₃	—	4	2	no	—
637	C₂×C₂²⋊D₅₃	—	4	2	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	16	no	—
644	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
645	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
646	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
647	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
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	C₂²×Dic₅₃	—	2	4	no	—
667	C₂²×Dic₅₃	—	2	4	no	—
668	C₂²×Dic₅₃	—	4	2	no	—
669	C₂²×Dic₅₃	—	4	2	no	—
670	C₂²×Dic₅₃	—	4	2	no	—
671	C₂²×Dic₅₃	—	4	2	no	—
672	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
673	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
674	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
675	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
676	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
677	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
678	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
679	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
680	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
681	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
682	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
683	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
684	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
685	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
686	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
687	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
688	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
689	#11719947	—	4	16	no	—
690	D₄×D₅₃	—	4	16	no	—
691	D₄×D₅₃	—	4	16	no	—
692	D₄×D₅₃	—	4	16	no	—
693	#11719945	—	4	16	no	—
694	#11719945	—	4	16	no	—
695	C₂×D₂₁₂	—	4	2	no	—
696	C₂×D₂₁₂	—	4	2	no	—
697	C₂×D₂₁₂	—	4	2	no	—
698	C₂×D₂₁₂	—	4	2	no	—
699	C₂×D₂₁₂	—	4	2	no	—
700	C₂×D₂₁₂	—	4	2	no	—
701	C₂×D₂₁₂	C₂⁴	1	4	yes	—
702	C₂×D₂₁₂	C₂⁴	1	4	yes	—
703	C₂×D₂₁₂	C₂⁴	1	4	yes	—
704	C₂×D₂₁₂	C₂⁴	1	4	yes	—
705	C₂×D₂₁₂	C₂⁴	1	4	yes	—
706	C₂×D₂₁₂	C₂⁴	1	4	yes	—
707	C₂×C₄×D₅₃	—	2	4	no	—
708	C₂×C₄×D₅₃	—	4	2	no	—
709	C₂×C₄×D₅₃	—	4	2	no	—
710	C₂×C₄×D₅₃	—	4	2	no	—
711	C₂×C₄×D₅₃	—	4	2	no	—
712	C₂×C₄×D₅₃	—	4	2	no	—
713	C₂×C₄×D₅₃	—	4	2	no	—
714	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
715	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
716	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
717	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
718	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
719	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
720	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
721	C₂×Dic₁₀₆	—	2	4	no	—
722	C₂×Dic₁₀₆	—	2	4	no	—
723	C₂×Dic₁₀₆	—	4	16	no	—
724	C₂×Dic₁₀₆	—	4	2	no	—
725	C₂×Dic₁₀₆	—	4	2	no	—
726	C₂×Dic₁₀₆	—	4	2	no	—
727	C₂×Dic₁₀₆	—	4	2	no	—
728	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
729	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
730	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
731	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
732	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
733	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
734	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
735	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
736	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
737	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
738	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
739	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
740	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
741	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
742	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
743	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
744	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
745	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
746	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
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	C₄²×C₅₃	C₂⁴	1	4	yes	—
751	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
752	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
753	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
754	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
755	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
756	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
757	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
758	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
759	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
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	#11719921	C₂⁴	1	4	yes	—
768	#11719921	C₂⁴	1	4	yes	—
769	#11719921	C₂⁴	1	4	yes	—
770	#11719921	C₂⁴	1	4	yes	—
771	#11719921	C₂⁴	1	4	yes	—
772	#11719921	C₂⁴	1	4	yes	—
773	#11719921	C₂⁴	1	4	yes	—
774	#11719921	C₂⁴	1	4	yes	—
775	#11719921	C₂⁴	1	4	yes	—
776	#11719921	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	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
794	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
795	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
796	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
797	#11719919	C₂⁴	1	4	yes	—
798	#11719919	C₂⁴	1	4	yes	—
799	#11719919	C₂⁴	1	4	yes	—
800	#11719919	C₂⁴	1	4	yes	—
801	#11719919	C₂⁴	1	4	yes	—
802	#11719919	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	C₄×Dic₅₃	C₂⁴	1	4	yes	—
812	C₄×Dic₅₃	C₂⁴	1	4	yes	—
813	C₄×Dic₅₃	C₂⁴	1	4	yes	—
814	C₄×Dic₅₃	C₂⁴	1	4	yes	—
815	C₄×Dic₅₃	C₂⁴	1	4	yes	—
816	C₄×Dic₅₃	C₂⁴	1	4	yes	—
817	C₄×Dic₅₃	C₂⁴	1	4	yes	—
818	C₄×Dic₅₃	C₂⁴	1	4	yes	—
819	C₄×Dic₅₃	C₂⁴	1	4	yes	—
820	C₂³×C₅₃	—	2	2	no	—
821	C₂³×C₅₃	—	2	2	no	—
822	C₂³×C₅₃	—	2	2	no	—
823	C₂³×C₅₃	—	2	2	no	—
824	C₂³×C₅₃	—	2	2	no	—
825	C₂³×C₅₃	—	2	2	no	—
826	C₂³×C₅₃	—	2	2	no	—
827	C₂³×C₅₃	—	2	2	no	—
828	C₂³×C₅₃	—	2	2	no	—
829	C₂³×C₅₃	—	2	2	no	—
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	2	no	—
836	C₂³×C₅₃	—	2	2	no	—
837	C₂³×C₅₃	—	2	8	no	—
838	C₂³×C₅₃	—	4	4	no	—
839	C₂³×C₅₃	—	4	4	no	—
840	C₂³×C₅₃	—	4	4	no	—
841	C₂³×C₅₃	—	4	4	no	—
842	C₂³×C₅₃	—	4	4	no	—
843	C₂³×C₅₃	—	8	8	no	—
844	C₂³×C₅₃	—	8	8	no	—
845	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
846	C₂³×C₅₃	C₂⁵	1	2	yes	—
847	C₂³×C₅₃	C₂⁵	1	2	yes	—
848	C₂³×C₅₃	C₂⁵	1	2	yes	—
849	C₂³×C₅₃	C₂⁵	1	2	yes	—
850	C₂³×C₅₃	C₂⁵	1	2	yes	—
851	C₂³×C₅₃	C₂⁵	1	2	yes	—
852	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
853	C₂²×D₅₃	—	2	2	no	—
854	C₂²×D₅₃	—	2	2	no	—
855	C₂²×D₅₃	—	2	2	no	—
856	C₂²×D₅₃	—	2	2	no	—
857	C₂²×D₅₃	—	2	2	no	—
858	C₂²×D₅₃	—	2	2	no	—
859	C₂²×D₅₃	—	2	2	no	—
860	C₂²×D₅₃	—	2	2	no	—
861	C₂²×D₅₃	—	2	2	no	—
862	C₂²×D₅₃	—	2	2	no	—
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	8	no	—
869	C₂²×D₅₃	—	4	4	no	—
870	C₂²×D₅₃	—	4	4	no	—
871	C₂²×D₅₃	—	4	4	no	—
872	C₂²×D₅₃	—	4	4	no	—
873	C₂²×D₅₃	—	4	4	no	—
874	C₂²×D₅₃	—	4	4	no	—
875	C₂²×D₅₃	—	4	4	no	—
876	C₂²×D₅₃	—	4	4	no	—
877	C₂²×D₅₃	—	4	4	no	—
878	C₂²×D₅₃	—	4	4	no	—
879	C₂²×D₅₃	—	4	4	no	—
880	C₂²×D₅₃	—	8	8	no	—
881	C₂²×D₅₃	—	8	8	no	—
882	C₂²×D₅₃	—	8	8	no	—
883	C₂²×D₅₃	—	8	8	no	—
884	C₂²×D₅₃	C₂⁵	1	2	yes	—
885	C₂²×D₅₃	C₂⁵	1	2	yes	—
886	C₂²×D₅₃	C₂⁵	1	2	yes	—
887	C₂²×D₅₃	C₂⁵	1	2	yes	—
888	C₂²×D₅₃	C₂⁵	1	2	yes	—
889	Q₈×C₅₃	—	4	4	no	—
890	D₄×C₅₃	—	2	8	no	—
891	D₄×C₅₃	—	2	8	no	—
892	D₄×C₅₃	—	2	8	no	—
893	D₄×C₅₃	—	4	4	no	—
894	D₄×C₅₃	—	4	4	no	—
895	D₄×C₅₃	—	4	4	no	—
896	D₄×C₅₃	—	4	4	no	—
897	D₄×C₅₃	—	4	4	no	—
898	D₄×C₅₃	—	4	4	no	—
899	C₂×C₄×C₅₃	—	2	2	no	—
900	C₂×C₄×C₅₃	—	2	2	no	—
901	C₂×C₄×C₅₃	—	2	2	no	—
902	C₂×C₄×C₅₃	—	2	2	no	—
903	C₂×C₄×C₅₃	—	2	2	no	—
904	C₂×C₄×C₅₃	—	2	2	no	—
905	C₂×C₄×C₅₃	—	2	2	no	—
906	C₂×C₄×C₅₃	—	2	8	no	—
907	C₂×C₄×C₅₃	—	2	2	no	—
908	C₂×C₄×C₅₃	—	2	2	no	—
909	C₂×C₄×C₅₃	—	4	4	no	—
910	C₂×C₄×C₅₃	—	4	4	no	—
911	C₂×C₄×C₅₃	—	4	4	no	—
912	C₂×C₄×C₅₃	—	4	4	no	—
913	C₂×C₄×C₅₃	—	4	4	no	—
914	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
915	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
916	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
917	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
918	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
919	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
920	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
921	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
922	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
923	C₂²⋊D₅₃	—	2	8	no	—
924	C₂²⋊D₅₃	—	2	8	no	—
925	C₂²⋊D₅₃	—	2	8	no	—
926	C₂²⋊D₅₃	—	2	8	no	—
927	C₂²⋊D₅₃	—	2	8	no	—
928	C₂²⋊D₅₃	—	2	8	no	—
929	C₂²⋊D₅₃	—	2	8	no	—
930	C₂²⋊D₅₃	—	4	4	no	—
931	C₂²⋊D₅₃	—	4	4	no	—
932	C₂²⋊D₅₃	—	4	4	no	—
933	C₂²⋊D₅₃	—	4	4	no	—
934	C₂²⋊D₅₃	—	4	4	no	—
935	C₂²⋊D₅₃	—	4	4	no	—
936	C₂²⋊D₅₃	—	4	4	no	—
937	C₂²⋊D₅₃	—	4	4	no	—
938	C₂²⋊D₅₃	—	4	4	no	—
939	C₂²⋊D₅₃	—	4	4	no	—
940	C₂²⋊D₅₃	—	4	4	no	—
941	C₂²⋊D₅₃	—	4	4	no	—
942	C₂²⋊D₅₃	—	4	4	no	—
943	C₂²⋊D₅₃	—	4	4	no	—
944	C₂²⋊D₅₃	—	4	4	no	—
945	C₂×Dic₅₃	—	2	2	no	—
946	C₂×Dic₅₃	—	2	2	no	—
947	C₂×Dic₅₃	—	2	2	no	—
948	C₂×Dic₅₃	—	2	2	no	—
949	C₂×Dic₅₃	—	2	2	no	—
950	C₂×Dic₅₃	—	2	2	no	—
951	C₂×Dic₅₃	—	2	2	no	—
952	C₂×Dic₅₃	—	2	2	no	—
953	C₂×Dic₅₃	—	2	2	no	—
954	C₂×Dic₅₃	—	2	2	no	—
955	C₂×Dic₅₃	—	2	8	no	—
956	C₂×Dic₅₃	—	2	8	no	—
957	C₂×Dic₅₃	—	4	4	no	—
958	C₂×Dic₅₃	—	4	4	no	—
959	C₂×Dic₅₃	—	4	4	no	—
960	C₂×Dic₅₃	—	4	4	no	—
961	C₂×Dic₅₃	H(5,𝔽₂)	1	4	yes	—
962	C₂×Dic₅₃	C₂⁵	1	2	yes	—
963	C₂×Dic₅₃	C₂⁵	1	2	yes	—
964	C₂×Dic₅₃	C₂⁵	1	2	yes	—
965	C₂×Dic₅₃	C₂⁵	1	2	yes	—
966	C₂×Dic₅₃	C₂⁵	1	2	yes	—
967	C₂×Dic₅₃	C₂⁵	1	2	yes	—
968	C₂×Dic₅₃	C₂⁵	1	2	yes	—
969	C₂×Dic₅₃	C₂⁵	1	2	yes	—
970	C₂×Dic₅₃	C₂⁵	1	2	yes	—
971	C₂×Dic₅₃	C₂⁵	1	2	yes	—
972	C₂×Dic₅₃	C₂⁵	1	2	yes	—
973	D₂₁₂	—	4	4	no	—
974	D₂₁₂	—	4	4	no	—
975	D₂₁₂	—	4	4	no	—
976	D₂₁₂	—	4	4	no	—
977	D₂₁₂	—	4	4	no	—
978	D₂₁₂	—	4	4	no	—
979	C₄×D₅₃	—	2	8	no	—
980	C₄×D₅₃	—	4	4	no	—
981	C₄×D₅₃	—	4	4	no	—
982	C₄×D₅₃	—	4	4	no	—
983	C₄×D₅₃	—	4	4	no	—
984	C₄×D₅₃	—	4	4	no	—
985	C₄×D₅₃	—	4	4	no	—
986	Dic₁₀₆	—	2	8	no	—
987	Dic₁₀₆	—	2	8	no	—
988	Dic₁₀₆	—	4	4	no	—
989	Dic₁₀₆	—	4	4	no	—
990	Dic₁₀₆	—	4	4	no	—
991	Dic₁₀₆	—	4	4	no	—
992	C₂×#3558	—	53	1	no	maximal, Sylow
993	C₂²×C₅₃	—	2	2	no	—
994	C₂²×C₅₃	—	2	2	no	—
995	C₂²×C₅₃	—	2	8	no	—
996	C₂²×C₅₃	—	2	2	no	—
997	C₂²×C₅₃	—	2	2	no	—
998	C₂²×C₅₃	—	2	2	no	—
999	C₂²×C₅₃	—	2	2	no	—
1000	C₂²×C₅₃	—	2	2	no	—
1001	C₂²×C₅₃	—	2	2	no	—
1002	C₂²×C₅₃	—	2	2	no	—
1003	C₂²×C₅₃	—	2	2	no	—
1004	C₂²×C₅₃	—	2	2	no	—
1005	C₂²×C₅₃	—	2	2	no	—
1006	C₂²×C₅₃	—	2	2	no	—
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	—	4	4	no	—
1012	C₂²×C₅₃	—	4	4	no	—
1013	C₂²×C₅₃	—	4	4	no	—
1014	C₂²×C₅₃	—	4	4	no	—
1015	C₂²×C₅₃	—	4	4	no	—
1016	C₂²×C₅₃	—	8	8	no	—
1017	C₂²×C₅₃	—	8	8	no	—
1018	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1019	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1020	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1021	C₂²×C₅₃	#585	1	2	yes	—
1022	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1023	C₂×D₅₃	—	2	2	no	—
1024	C₂×D₅₃	—	2	2	no	—
1025	C₂×D₅₃	—	2	2	no	—
1026	C₂×D₅₃	—	2	2	no	—
1027	C₂×D₅₃	—	2	2	no	—
1028	C₂×D₅₃	—	2	2	no	—
1029	C₂×D₅₃	—	2	2	no	—
1030	C₂×D₅₃	—	2	2	no	—
1031	C₂×D₅₃	—	2	2	no	—
1032	C₂×D₅₃	—	2	2	no	—
1033	C₂×D₅₃	—	2	2	no	—
1034	C₂×D₅₃	—	2	2	no	—
1035	C₂×D₅₃	—	2	2	no	—
1036	C₂×D₅₃	—	2	2	no	—
1037	C₂×D₅₃	—	2	2	no	—
1038	C₂×D₅₃	—	4	4	no	—
1039	C₂×D₅₃	—	4	4	no	—
1040	C₂×D₅₃	—	4	4	no	—
1041	C₂×D₅₃	—	4	4	no	—
1042	C₂×D₅₃	—	4	4	no	—
1043	C₂×D₅₃	—	8	8	no	—
1044	C₂×D₅₃	—	8	8	no	—
1045	C₂×D₅₃	—	8	8	no	—
1046	C₂×D₅₃	—	8	8	no	—
1047	C₄×C₅₃	—	2	2	no	—
1048	C₄×C₅₃	—	2	2	no	—
1049	C₄×C₅₃	—	2	2	no	—
1050	C₄×C₅₃	—	2	2	no	—
1051	C₄×C₅₃	—	2	2	no	—
1052	C₄×C₅₃	—	2	2	no	—
1053	C₄×C₅₃	—	2	2	no	—
1054	C₄×C₅₃	—	2	2	no	—
1055	C₄×C₅₃	—	2	2	no	—
1056	Dic₅₃	—	2	2	no	—
1057	Dic₅₃	—	2	2	no	—
1058	Dic₅₃	—	2	2	no	—
1059	Dic₅₃	—	2	2	no	—
1060	Dic₅₃	—	2	2	no	—
1061	Dic₅₃	—	2	2	no	—
1062	Dic₅₃	—	2	2	no	—
1063	Dic₅₃	—	2	2	no	—
1064	Dic₅₃	—	2	2	no	—
1065	Dic₅₃	—	2	2	no	—
1066	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1067	#3558	—	53	32	no	—
1068	C₂×#562	—	53	1	no	—
1069	C₂×#562	—	53	1	no	—
1070	C₂×H(3,𝔽₄)	—	53	1	no	—
1071	C₂×H(3,𝔽₄)	—	53	1	no	—
1072	C₂×#559	—	53	1	no	—
1073	C₂×#559	—	53	1	no	—
1074	C₂×#548	—	53	1	no	—
1075	C₂×#548	—	53	1	no	—
1076	C₂×#546	—	53	1	no	—
1077	C₂×#546	—	53	1	no	—
1078	C₂×#546	—	53	1	no	—
1079	C₂×#546	—	53	1	no	—
1080	C₂×#546	—	53	1	no	—
1081	C₂×#546	D₅₃	1	1	yes	characteristic, complemented
1082	C₂×D₄²	—	53	1	no	—
1083	C₂×D₄²	—	53	1	no	—
1084	C₂×#542	—	53	1	no	—
1085	C₂×#542	—	53	1	no	—
1086	C₂×#538	—	53	1	no	—
1087	C₂×#538	—	53	1	no	—
1088	C₂×#538	—	53	1	no	—
1089	C₂×#538	—	53	1	no	—
1090	C₂×#538	—	53	1	no	—
1091	C₂×#538	—	53	1	no	—
1092	C₂×#535	—	53	1	no	—
1093	C₂×#535	—	53	1	no	—
1094	C₂×#534	—	53	1	no	—
1095	C₂×#534	—	53	1	no	—
1096	C₂×#532	—	53	1	no	—
1097	C₂×#529	—	53	1	no	—
1098	C₂²×#124	—	53	1	no	—
1099	C₂×C₅₃	—	2	4	no	—
1100	C₂×C₅₃	—	4	2	no	—
1101	C₂×C₅₃	—	4	2	no	—
1102	C₂×C₅₃	—	4	2	no	—
1103	C₂×C₅₃	—	4	2	no	—
1104	C₂×C₅₃	—	4	2	no	—
1105	C₂×C₅₃	#3558	1	4	yes	complemented
1106	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1107	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1108	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1109	D₅₃	—	4	2	no	—
1110	D₅₃	—	4	2	no	—
1111	D₅₃	—	4	2	no	—
1112	D₅₃	—	4	2	no	—
1113	D₅₃	—	4	2	no	—
1114	C₂²×#41	—	53	1	no	—
1115	C₂²×#41	—	53	1	no	—
1116	C₂²×#41	—	53	1	no	—
1117	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1118	C₂³×Q₈	—	53	1	no	—
1119	C₂³×D₄	—	53	1	no	—
1120	C₂³×D₄	—	53	1	no	—
1121	C₂³×D₄	—	53	1	no	—
1122	C₂³×D₄	—	53	1	no	—
1123	C₂³×D₄	—	53	1	no	—
1124	C₂³×D₄	—	53	1	no	—
1125	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1126	#562	—	53	16	no	—
1127	#562	—	53	16	no	—
1128	H(3,𝔽₄)	—	53	16	no	—
1129	H(3,𝔽₄)	—	53	16	no	—
1130	#559	—	53	16	no	—
1131	#559	—	53	16	no	—
1132	#548	—	53	16	no	—
1133	#548	—	53	16	no	—
1134	#546	—	53	16	no	—
1135	#546	—	53	16	no	—
1136	#546	—	53	16	no	—
1137	#546	—	53	16	no	—
1138	#546	—	53	16	no	—
1139	#546	C₂×D₅₃	1	16	yes	complemented
1140	D₄²	—	53	16	no	—
1141	D₄²	—	53	16	no	—
1142	#542	—	53	16	no	—
1143	#542	—	53	16	no	—
1144	#538	—	53	16	no	—
1145	#538	—	53	16	no	—
1146	#538	—	53	16	no	—
1147	#538	—	53	16	no	—
1148	#538	—	53	16	no	—
1149	#538	—	53	16	no	—
1150	#535	—	53	16	no	—
1151	#535	—	53	16	no	—
1152	#534	—	53	16	no	—
1153	#534	—	53	16	no	—
1154	#532	—	53	16	no	—
1155	C₂×C₄⋊Q₈	—	53	1	no	—
1156	C₂×#127	—	53	1	no	—
1157	C₂×#127	—	53	1	no	—
1158	C₂×#127	—	53	1	no	—
1159	#529	—	53	16	no	—
1160	C₂×#126	—	53	1	no	—
1161	C₂×#126	—	53	1	no	—
1162	C₂×#126	—	53	1	no	—
1163	C₂×#126	—	53	1	no	—
1164	C₂×#126	—	53	1	no	—
1165	C₂×#126	—	53	1	no	—
1166	C₂×#125	—	53	1	no	—
1167	C₂×#124	—	53	1	no	—
1168	C₂×#124	—	53	1	no	—
1169	C₂×#124	—	53	1	no	—
1170	C₂×#124	—	53	1	no	—
1171	C₂×#124	—	53	1	no	—
1172	C₂×#124	—	53	1	no	—
1173	C₂×#124	—	53	1	no	—
1174	C₂×#124	—	53	1	no	—
1175	C₂×#124	—	53	1	no	—
1176	C₂×#124	—	53	1	no	—
1177	C₂×#124	—	53	1	no	—
1178	C₂×#124	—	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	—	53	1	no	—
1187	C₂×#124	—	53	1	no	—
1188	C₂×#124	—	53	1	no	—
1189	C₂×#124	—	53	16	no	—
1190	C₂×#124	—	53	1	no	—
1191	C₂×#124	—	53	1	no	—
1192	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
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	C₂×D₅₃	1	1	yes	characteristic, complemented
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	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	—	53	1	no	—
1241	C₂×#121	—	53	1	no	—
1242	C₂×#121	—	53	1	no	—
1243	C₂×#121	—	53	1	no	—
1244	C₂×#121	—	53	1	no	—
1245	C₂×#121	—	53	1	no	—
1246	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1247	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1248	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
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	—	53	1	no	—
1258	C₂×#120	—	53	1	no	—
1259	C₂×#120	—	53	1	no	—
1260	C₂×#120	—	53	1	no	—
1261	C₂×#120	—	53	1	no	—
1262	C₂×#120	—	53	1	no	—
1263	C₂×#120	—	53	1	no	—
1264	C₂×#120	—	53	1	no	—
1265	C₂×#120	—	53	1	no	—
1266	C₂×#120	—	53	1	no	—
1267	C₂×#120	C₂×D₅₃	1	1	yes	characteristic, complemented
1268	C₂×#120	C₂×D₅₃	1	1	yes	characteristic, complemented
1269	C₂×C₄×Q₈	—	53	1	no	—
1270	C₂×C₄×Q₈	—	53	1	no	—
1271	C₂×C₄×Q₈	—	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	C₂×D₅₃	1	1	yes	characteristic, complemented
1288	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1289	C₂×#117	—	53	1	no	—
1290	C₂×#117	—	53	1	no	—
1291	C₂²×C₂²⋊C₄	—	53	1	no	—
1292	C₂²×C₂²⋊C₄	—	53	1	no	—
1293	C₂²×C₂²⋊C₄	—	53	1	no	—
1294	C₂²×C₂²⋊C₄	—	53	1	no	—
1295	C₂²×C₂²⋊C₄	—	53	1	no	—
1296	C₂²×C₂²⋊C₄	—	53	1	no	—
1297	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1298	C₂²×C₂²⋊C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1299	C₂²×C₄²	—	53	1	no	—
1300	C₅₃	C₂×#3558	1	1	yes	characteristic, complemented, Sylow
1301	C₂⁵	—	53	1	no	—
1302	C₂⁵	—	53	1	no	—
1303	C₂⁵	—	53	1	no	—
1304	C₂⁵	—	53	1	no	—
1305	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1306	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1307	C₂×#41	—	4	4	no	—
1308	C₂×#41	—	53	8	no	—
1309	C₂×#41	—	53	8	no	—
1310	C₂×#41	—	53	8	no	—
1311	C₂×#41	—	212	4	no	—
1312	C₂×#41	—	212	4	no	—
1313	C₂×#41	—	212	4	no	—
1314	C₂×#41	C₂²×D₅₃	1	8	yes	complemented
1315	C₂²×Q₈	—	53	1	no	—
1316	C₂²×Q₈	—	53	1	no	—
1317	C₂²×Q₈	—	53	1	no	—
1318	C₂²×Q₈	—	53	1	no	—
1319	C₂²×Q₈	—	53	1	no	—
1320	C₂²×Q₈	—	53	1	no	—
1321	C₂²×Q₈	—	53	8	no	—
1322	C₂²×Q₈	—	212	4	no	—
1323	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1324	C₂²×D₄	—	4	4	no	—
1325	C₂²×D₄	—	53	1	no	—
1326	C₂²×D₄	—	53	1	no	—
1327	C₂²×D₄	—	53	1	no	—
1328	C₂²×D₄	—	53	1	no	—
1329	C₂²×D₄	—	53	1	no	—
1330	C₂²×D₄	—	53	1	no	—
1331	C₂²×D₄	—	53	1	no	—
1332	C₂²×D₄	—	53	1	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	1	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	8	no	—
1348	C₂²×D₄	—	53	8	no	—
1349	C₂²×D₄	—	53	8	no	—
1350	C₂²×D₄	—	53	8	no	—
1351	C₂²×D₄	—	53	8	no	—
1352	C₂²×D₄	—	53	8	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	—	212	4	no	—
1360	C₂²×D₄	—	212	4	no	—
1361	C₂²×D₄	—	212	4	no	—
1362	C₂²×D₄	—	212	4	no	—
1363	C₂²×D₄	—	212	4	no	—
1364	C₂²×D₄	—	212	4	no	—
1365	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1366	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1367	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1368	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1369	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1370	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1371	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1372	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1373	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1374	C₂²×D₄	C₂²×D₅₃	1	8	yes	complemented
1375	C₂³×C₄	—	53	1	no	—
1376	C₂³×C₄	—	53	1	no	—
1377	C₂³×C₄	—	53	1	no	—
1378	C₂³×C₄	—	53	1	no	—
1379	C₂³×C₄	—	53	1	no	—
1380	C₂³×C₄	—	53	1	no	—
1381	C₂³×C₄	—	53	1	no	—
1382	C₂³×C₄	—	53	1	no	—
1383	C₂³×C₄	—	53	1	no	—
1384	C₂³×C₄	—	53	1	no	—
1385	C₂³×C₄	—	53	1	no	—
1386	C₂³×C₄	—	53	1	no	—
1387	C₂³×C₄	—	53	1	no	—
1388	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1389	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1390	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1391	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1392	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1393	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1394	C₄⋊Q₈	—	53	8	no	—
1395	#127	—	53	8	no	—
1396	#127	—	53	8	no	—
1397	#127	—	53	8	no	—
1398	#126	—	53	8	no	—
1399	#126	—	53	8	no	—
1400	#126	—	53	8	no	—
1401	#126	—	53	8	no	—
1402	#126	—	53	8	no	—
1403	#126	—	53	8	no	—
1404	#125	—	53	8	no	—
1405	#124	—	53	8	no	—
1406	#124	—	53	8	no	—
1407	#124	—	53	8	no	—
1408	#124	—	53	8	no	—
1409	#124	—	53	8	no	—
1410	#124	—	53	8	no	—
1411	#124	—	53	8	no	—
1412	#124	—	53	8	no	—
1413	#124	—	53	8	no	—
1414	#124	—	53	8	no	—
1415	#124	—	53	8	no	—
1416	#124	—	53	8	no	—
1417	#124	—	53	8	no	—
1418	#124	—	53	8	no	—
1419	#124	—	53	8	no	—
1420	#124	—	53	8	no	—
1421	#124	—	53	8	no	—
1422	#124	—	53	8	no	—
1423	#124	—	53	8	no	—
1424	#124	—	53	8	no	—
1425	#124	—	53	8	no	—
1426	#124	—	53	8	no	—
1427	#124	—	53	8	no	—
1428	#124	—	53	8	no	—
1429	#124	C₂²×D₅₃	1	8	yes	complemented
1430	#123	—	53	8	no	—
1431	#123	—	53	8	no	—
1432	#123	—	53	8	no	—
1433	#123	—	53	8	no	—
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	C₂²×D₅₃	1	8	yes	complemented
1447	#123	C₂²×D₅₃	1	8	yes	complemented
1448	C₂²⋊Q₈	—	53	8	no	—
1449	C₂²⋊Q₈	—	53	8	no	—
1450	C₂²⋊Q₈	—	53	8	no	—
1451	C₂²⋊Q₈	—	53	8	no	—
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	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	complemented
1505	#120	C₂²×D₅₃	1	8	yes	complemented
1506	C₄×Q₈	—	53	8	no	—
1507	C₄×Q₈	—	53	8	no	—
1508	C₄×Q₈	—	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	C₂²×D₅₃	1	8	yes	complemented
1525	C₄×D₄	C₂²×D₅₃	1	8	yes	complemented
1526	#117	—	53	8	no	—
1527	#117	—	53	8	no	—
1528	C₂×C₄⋊C₄	—	53	1	no	—
1529	C₂×C₄⋊C₄	—	53	1	no	—
1530	C₂×C₄⋊C₄	—	53	1	no	—
1531	C₂×C₄⋊C₄	—	53	1	no	—
1532	C₂×C₄⋊C₄	—	53	1	no	—
1533	C₂×C₄⋊C₄	—	53	1	no	—
1534	C₂×C₄⋊C₄	—	53	1	no	—
1535	C₂×C₄⋊C₄	—	53	1	no	—
1536	C₂×C₄⋊C₄	—	53	1	no	—
1537	C₂×C₄⋊C₄	—	53	1	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	C₂²×D₅₃	1	1	yes	characteristic
1547	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1548	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1549	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1550	C₂×C₂²⋊C₄	—	53	1	no	—
1551	C₂×C₂²⋊C₄	—	53	1	no	—
1552	C₂×C₂²⋊C₄	—	53	1	no	—
1553	C₂×C₂²⋊C₄	—	53	1	no	—
1554	C₂×C₂²⋊C₄	—	53	1	no	—
1555	C₂×C₂²⋊C₄	—	53	1	no	—
1556	C₂×C₂²⋊C₄	—	53	8	no	—
1557	C₂×C₂²⋊C₄	—	53	1	no	—
1558	C₂×C₂²⋊C₄	—	53	1	no	—
1559	C₂×C₂²⋊C₄	—	53	1	no	—
1560	C₂×C₂²⋊C₄	—	53	1	no	—
1561	C₂×C₂²⋊C₄	—	53	1	no	—
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	1	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	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	1	no	—
1580	C₂×C₂²⋊C₄	—	53	8	no	—
1581	C₂×C₂²⋊C₄	—	53	8	no	—
1582	C₂×C₂²⋊C₄	—	53	8	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	8	no	—
1597	C₂×C₂²⋊C₄	—	53	8	no	—
1598	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1599	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1600	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1601	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1602	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1603	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1604	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1605	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1606	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1607	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1608	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1609	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1610	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1611	C₂×C₂²⋊C₄	C₂²×D₅₃	1	8	yes	complemented
1612	C₂×C₄²	—	53	1	no	—
1613	C₂×C₄²	—	53	1	no	—
1614	C₂×C₄²	—	53	1	no	—
1615	C₂×C₄²	—	53	1	no	—
1616	C₂×C₄²	—	53	1	no	—
1617	C₂×C₄²	—	53	1	no	—
1618	C₂×C₄²	—	53	1	no	—
1619	C₂×C₄²	—	53	1	no	—
1620	C₂×C₄²	—	53	1	no	—
1621	C₂×C₄²	—	53	8	no	—
1622	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1623	C₂⁴	—	2	4	no	—
1624	C₂⁴	—	4	2	no	—
1625	C₂⁴	—	4	2	no	—
1626	C₂⁴	—	4	2	no	—
1627	C₂⁴	—	4	2	no	—
1628	C₂⁴	—	4	2	no	—
1629	C₂⁴	—	53	1	no	—
1630	C₂⁴	—	53	1	no	—
1631	C₂⁴	—	53	1	no	—
1632	C₂⁴	—	53	1	no	—
1633	C₂⁴	—	53	1	no	—
1634	C₂⁴	—	53	4	no	—
1635	C₂⁴	—	53	4	no	—
1636	C₂⁴	—	53	4	no	—
1637	C₂⁴	—	53	4	no	—
1638	C₂⁴	—	106	4	no	—
1639	C₂⁴	—	212	2	no	—
1640	C₂⁴	—	212	2	no	—
1641	C₂⁴	—	212	2	no	—
1642	C₂⁴	—	212	2	no	—
1643	C₂⁴	—	212	2	no	—
1644	C₂⁴	—	212	2	no	—
1645	C₂⁴	—	212	2	no	—
1646	C₂⁴	—	212	2	no	—
1647	C₂⁴	—	212	2	no	—
1648	C₂⁴	—	212	2	no	—
1649	C₂⁴	—	212	2	no	—
1650	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1651	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1652	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1653	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1654	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1655	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1656	C₂⁴	C₂³×D₅₃	1	4	yes	—
1657	C₂⁴	C₂³×D₅₃	1	4	yes	—
1658	#41	—	4	16	no	—
1659	#41	—	212	16	no	—
1660	#41	—	212	16	no	—
1661	#41	—	212	16	no	—
1662	C₂×Q₈	—	4	2	no	—
1663	C₂×Q₈	—	53	4	no	—
1664	C₂×Q₈	—	53	4	no	—
1665	C₂×Q₈	—	53	4	no	—
1666	C₂×Q₈	—	53	4	no	—
1667	C₂×Q₈	—	53	4	no	—
1668	C₂×Q₈	—	53	4	no	—
1669	C₂×Q₈	—	106	4	no	—
1670	C₂×Q₈	—	106	4	no	—
1671	C₂×Q₈	—	212	2	no	—
1672	C₂×Q₈	—	212	2	no	—
1673	C₂×Q₈	—	212	2	no	—
1674	C₂×Q₈	—	212	2	no	—
1675	C₂×Q₈	—	212	16	no	—
1676	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1677	C₂×D₄	—	2	4	no	—
1678	C₂×D₄	—	2	4	no	—
1679	C₂×D₄	—	2	4	no	—
1680	C₂×D₄	—	4	2	no	—
1681	C₂×D₄	—	4	2	no	—
1682	C₂×D₄	—	4	2	no	—
1683	C₂×D₄	—	4	2	no	—
1684	C₂×D₄	—	4	2	no	—
1685	C₂×D₄	—	4	2	no	—
1686	C₂×D₄	—	4	16	no	—
1687	C₂×D₄	—	53	4	no	—
1688	C₂×D₄	—	53	4	no	—
1689	C₂×D₄	—	53	4	no	—
1690	C₂×D₄	—	53	4	no	—
1691	C₂×D₄	—	53	4	no	—
1692	C₂×D₄	—	53	4	no	—
1693	C₂×D₄	—	53	4	no	—
1694	C₂×D₄	—	53	4	no	—
1695	C₂×D₄	—	53	4	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	—	106	4	no	—
1716	C₂×D₄	—	106	4	no	—
1717	C₂×D₄	—	106	4	no	—
1718	C₂×D₄	—	106	4	no	—
1719	C₂×D₄	—	106	4	no	—
1720	C₂×D₄	—	106	4	no	—
1721	C₂×D₄	—	106	4	no	—
1722	C₂×D₄	—	212	2	no	—
1723	C₂×D₄	—	212	2	no	—
1724	C₂×D₄	—	212	2	no	—
1725	C₂×D₄	—	212	2	no	—
1726	C₂×D₄	—	212	2	no	—
1727	C₂×D₄	—	212	2	no	—
1728	C₂×D₄	—	212	16	no	—
1729	C₂×D₄	—	212	16	no	—
1730	C₂×D₄	—	212	16	no	—
1731	C₂×D₄	—	212	2	no	—
1732	C₂×D₄	—	212	2	no	—
1733	C₂×D₄	—	212	2	no	—
1734	C₂×D₄	—	212	2	no	—
1735	C₂×D₄	—	212	2	no	—
1736	C₂×D₄	—	212	2	no	—
1737	C₂×D₄	—	212	2	no	—
1738	C₂×D₄	—	212	2	no	—
1739	C₂×D₄	—	212	2	no	—
1740	C₂×D₄	—	212	2	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	16	no	—
1749	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1750	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1751	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1752	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1753	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1754	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1755	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1756	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1757	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1758	C₂²×C₄	—	2	4	no	—
1759	C₂²×C₄	—	4	2	no	—
1760	C₂²×C₄	—	4	2	no	—
1761	C₂²×C₄	—	4	2	no	—
1762	C₂²×C₄	—	4	2	no	—
1763	C₂²×C₄	—	4	2	no	—
1764	C₂²×C₄	—	53	1	no	—
1765	C₂²×C₄	—	53	4	no	—
1766	C₂²×C₄	—	53	4	no	—
1767	C₂²×C₄	—	53	1	no	—
1768	C₂²×C₄	—	53	1	no	—
1769	C₂²×C₄	—	53	1	no	—
1770	C₂²×C₄	—	53	1	no	—
1771	C₂²×C₄	—	53	1	no	—
1772	C₂²×C₄	—	53	1	no	—
1773	C₂²×C₄	—	53	1	no	—
1774	C₂²×C₄	—	53	1	no	—
1775	C₂²×C₄	—	53	1	no	—
1776	C₂²×C₄	—	53	1	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	4	no	—
1782	C₂²×C₄	—	53	4	no	—
1783	C₂²×C₄	—	53	4	no	—
1784	C₂²×C₄	—	53	4	no	—
1785	C₂²×C₄	—	53	4	no	—
1786	C₂²×C₄	—	53	4	no	—
1787	C₂²×C₄	—	53	4	no	—
1788	C₂²×C₄	—	106	4	no	—
1789	C₂²×C₄	—	106	4	no	—
1790	C₂²×C₄	—	106	4	no	—
1791	C₂²×C₄	—	212	2	no	—
1792	C₂²×C₄	—	212	2	no	—
1793	C₂²×C₄	—	212	2	no	—
1794	C₂²×C₄	—	212	2	no	—
1795	C₂²×C₄	—	212	2	no	—
1796	C₂²×C₄	—	212	2	no	—
1797	C₂²×C₄	—	212	2	no	—
1798	C₂²×C₄	—	212	2	no	—
1799	C₂²×C₄	—	212	2	no	—
1800	C₂²×C₄	—	212	2	no	—
1801	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1802	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1803	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1804	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1805	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1806	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1807	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1808	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1809	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1810	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1811	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1812	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1813	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1814	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1815	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1816	C₄⋊C₄	—	53	4	no	—
1817	C₄⋊C₄	—	53	4	no	—
1818	C₄⋊C₄	—	53	4	no	—
1819	C₄⋊C₄	—	53	4	no	—
1820	C₄⋊C₄	—	53	4	no	—
1821	C₄⋊C₄	—	53	4	no	—
1822	C₄⋊C₄	—	53	4	no	—
1823	C₄⋊C₄	—	53	4	no	—
1824	C₄⋊C₄	—	53	4	no	—
1825	C₄⋊C₄	—	53	4	no	—
1826	C₄⋊C₄	—	53	4	no	—
1827	C₄⋊C₄	—	53	4	no	—
1828	C₄⋊C₄	—	53	4	no	—
1829	C₄⋊C₄	—	53	4	no	—
1830	C₄⋊C₄	—	53	4	no	—
1831	C₄⋊C₄	—	53	4	no	—
1832	C₄⋊C₄	—	53	4	no	—
1833	C₄⋊C₄	—	53	4	no	—
1834	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1835	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1836	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1837	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1838	C₂²⋊C₄	—	53	4	no	—
1839	C₂²⋊C₄	—	53	4	no	—
1840	C₂²⋊C₄	—	53	4	no	—
1841	C₂²⋊C₄	—	53	4	no	—
1842	C₂²⋊C₄	—	53	4	no	—
1843	C₂²⋊C₄	—	53	4	no	—
1844	C₂²⋊C₄	—	53	4	no	—
1845	C₂²⋊C₄	—	53	4	no	—
1846	C₂²⋊C₄	—	53	4	no	—
1847	C₂²⋊C₄	—	53	4	no	—
1848	C₂²⋊C₄	—	53	4	no	—
1849	C₂²⋊C₄	—	53	4	no	—
1850	C₂²⋊C₄	—	53	4	no	—
1851	C₂²⋊C₄	—	53	4	no	—
1852	C₂²⋊C₄	—	53	4	no	—
1853	C₂²⋊C₄	—	53	4	no	—
1854	C₂²⋊C₄	—	53	4	no	—
1855	C₂²⋊C₄	—	53	4	no	—
1856	C₂²⋊C₄	—	53	4	no	—
1857	C₂²⋊C₄	—	53	4	no	—
1858	C₂²⋊C₄	—	53	4	no	—
1859	C₂²⋊C₄	—	53	4	no	—
1860	C₂²⋊C₄	—	53	4	no	—
1861	C₂²⋊C₄	—	53	4	no	—
1862	C₂²⋊C₄	—	53	4	no	—
1863	C₂²⋊C₄	—	53	4	no	—
1864	C₂²⋊C₄	—	53	4	no	—
1865	C₂²⋊C₄	—	53	4	no	—
1866	C₂²⋊C₄	—	53	4	no	—
1867	C₂²⋊C₄	—	53	4	no	—
1868	C₂²⋊C₄	—	53	4	no	—
1869	C₂²⋊C₄	—	53	4	no	—
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	C₂³×D₅₃	1	4	yes	—
1881	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1882	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1883	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1884	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1885	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1886	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1887	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1888	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1889	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1890	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1891	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1892	C₄²	—	53	4	no	—
1893	C₄²	—	53	4	no	—
1894	C₄²	—	53	4	no	—
1895	C₄²	—	53	4	no	—
1896	C₄²	—	53	4	no	—
1897	C₄²	—	53	4	no	—
1898	C₄²	—	53	4	no	—
1899	C₄²	—	53	4	no	—
1900	C₄²	—	53	4	no	—
1901	C₄²	C₂³×D₅₃	1	4	yes	—
1902	C₂³	—	2	2	no	—
1903	C₂³	—	2	2	no	—
1904	C₂³	—	2	2	no	—
1905	C₂³	—	2	2	no	—
1906	C₂³	—	2	2	no	—
1907	C₂³	—	2	2	no	—
1908	C₂³	—	2	2	no	—
1909	C₂³	—	2	2	no	—
1910	C₂³	—	2	2	no	—
1911	C₂³	—	2	2	no	—
1912	C₂³	—	2	2	no	—
1913	C₂³	—	2	2	no	—
1914	C₂³	—	2	2	no	—
1915	C₂³	—	2	2	no	—
1916	C₂³	—	2	2	no	—
1917	C₂³	—	2	2	no	—
1918	C₂³	—	2	2	no	—
1919	C₂³	—	2	8	no	—
1920	C₂³	—	4	4	no	—
1921	C₂³	—	4	4	no	—
1922	C₂³	—	4	4	no	—
1923	C₂³	—	4	4	no	—
1924	C₂³	—	4	4	no	—
1925	C₂³	—	8	8	no	—
1926	C₂³	—	8	8	no	—
1927	C₂³	—	53	2	no	—
1928	C₂³	—	53	2	no	—
1929	C₂³	—	53	2	no	—
1930	C₂³	—	53	2	no	—
1931	C₂³	—	53	2	no	—
1932	C₂³	—	106	8	no	—
1933	C₂³	—	106	2	no	—
1934	C₂³	—	106	2	no	—
1935	C₂³	—	106	2	no	—
1936	C₂³	—	106	2	no	—
1937	C₂³	—	106	2	no	—
1938	C₂³	—	106	2	no	—
1939	C₂³	—	106	2	no	—
1940	C₂³	—	106	2	no	—
1941	C₂³	—	106	2	no	—
1942	C₂³	—	106	2	no	—
1943	C₂³	—	106	2	no	—
1944	C₂³	—	106	2	no	—
1945	C₂³	—	106	2	no	—
1946	C₂³	—	106	2	no	—
1947	C₂³	—	106	2	no	—
1948	C₂³	—	424	8	no	—
1949	C₂³	—	424	8	no	—
1950	C₂³	—	424	8	no	—
1951	C₂³	—	424	8	no	—
1952	C₂³	—	212	4	no	—
1953	C₂³	—	212	4	no	—
1954	C₂³	—	212	4	no	—
1955	C₂³	—	212	4	no	—
1956	C₂³	—	212	4	no	—
1957	C₂³	—	212	4	no	—
1958	C₂³	—	212	4	no	—
1959	C₂³	—	212	4	no	—
1960	C₂³	—	212	4	no	—
1961	C₂³	—	212	4	no	—
1962	C₂³	—	212	4	no	—
1963	C₂³	#13133262	1	4	yes	—
1964	C₂³	C₂⁴×D₅₃	1	2	yes	—
1965	C₂³	C₂⁴×D₅₃	1	2	yes	—
1966	C₂³	C₂⁴×D₅₃	1	2	yes	—
1967	C₂³	C₂⁴×D₅₃	1	2	yes	—
1968	C₂³	C₂⁴×D₅₃	1	2	yes	—
1969	C₂³	C₂⁴×D₅₃	1	2	yes	—
1970	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1971	Q₈	—	4	4	no	—
1972	Q₈	—	106	8	no	—
1973	Q₈	—	106	8	no	—
1974	Q₈	—	212	4	no	—
1975	Q₈	—	212	4	no	—
1976	Q₈	—	212	4	no	—
1977	Q₈	—	212	4	no	—
1978	D₄	—	2	8	no	—
1979	D₄	—	2	8	no	—
1980	D₄	—	2	8	no	—
1981	D₄	—	4	4	no	—
1982	D₄	—	4	4	no	—
1983	D₄	—	4	4	no	—
1984	D₄	—	4	4	no	—
1985	D₄	—	4	4	no	—
1986	D₄	—	4	4	no	—
1987	D₄	—	106	8	no	—
1988	D₄	—	106	8	no	—
1989	D₄	—	106	8	no	—
1990	D₄	—	106	8	no	—
1991	D₄	—	106	8	no	—
1992	D₄	—	106	8	no	—
1993	D₄	—	106	8	no	—
1994	D₄	—	212	4	no	—
1995	D₄	—	212	4	no	—
1996	D₄	—	212	4	no	—
1997	D₄	—	212	4	no	—
1998	D₄	—	212	4	no	—
1999	D₄	—	212	4	no	—
2000	D₄	—	212	4	no	—
2001	D₄	—	212	4	no	—
2002	D₄	—	212	4	no	—
2003	D₄	—	212	4	no	—
2004	D₄	—	212	4	no	—
2005	D₄	—	212	4	no	—
2006	D₄	—	212	4	no	—
2007	D₄	—	212	4	no	—
2008	D₄	—	212	4	no	—
2009	D₄	—	212	4	no	—
2010	D₄	—	212	4	no	—
2011	D₄	—	212	4	no	—
2012	D₄	—	212	4	no	—
2013	D₄	—	212	4	no	—
2014	D₄	—	212	4	no	—
2015	C₂×C₄	—	2	2	no	—
2016	C₂×C₄	—	2	2	no	—
2017	C₂×C₄	—	2	2	no	—
2018	C₂×C₄	—	2	2	no	—
2019	C₂×C₄	—	2	2	no	—
2020	C₂×C₄	—	2	8	no	—
2021	C₂×C₄	—	2	2	no	—
2022	C₂×C₄	—	2	2	no	—
2023	C₂×C₄	—	2	2	no	—
2024	C₂×C₄	—	2	2	no	—
2025	C₂×C₄	—	4	4	no	—
2026	C₂×C₄	—	4	4	no	—
2027	C₂×C₄	—	4	4	no	—
2028	C₂×C₄	—	4	4	no	—
2029	C₂×C₄	—	4	4	no	—
2030	C₂×C₄	—	53	4	no	—
2031	C₂×C₄	—	53	2	no	—
2032	C₂×C₄	—	53	2	no	—
2033	C₂×C₄	—	53	2	no	—
2034	C₂×C₄	—	53	2	no	—
2035	C₂×C₄	—	53	2	no	—
2036	C₂×C₄	—	53	2	no	—
2037	C₂×C₄	—	53	2	no	—
2038	C₂×C₄	—	53	2	no	—
2039	C₂×C₄	—	53	2	no	—
2040	C₂×C₄	—	53	2	no	—
2041	C₂×C₄	—	53	2	no	—
2042	C₂×C₄	—	106	8	no	—
2043	C₂×C₄	—	106	8	no	—
2044	C₂×C₄	—	106	8	no	—
2045	C₂×C₄	—	106	2	no	—
2046	C₂×C₄	—	106	2	no	—
2047	C₂×C₄	—	106	2	no	—
2048	C₂×C₄	—	106	2	no	—
2049	C₂×C₄	—	106	2	no	—
2050	C₂×C₄	—	106	2	no	—
2051	C₂×C₄	—	106	2	no	—
2052	C₂×C₄	—	106	2	no	—
2053	C₂×C₄	—	106	2	no	—
2054	C₂×C₄	—	106	2	no	—
2055	C₂×C₄	—	212	4	no	—
2056	C₂×C₄	—	212	4	no	—
2057	C₂×C₄	—	212	4	no	—
2058	C₂×C₄	—	212	4	no	—
2059	C₂×C₄	—	212	4	no	—
2060	C₂×C₄	—	212	4	no	—
2061	C₂×C₄	—	212	4	no	—
2062	C₂×C₄	—	212	4	no	—
2063	C₂×C₄	—	212	4	no	—
2064	C₂×C₄	—	212	4	no	—
2065	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2066	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2067	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2068	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2069	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2070	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2071	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2072	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2073	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2074	C₂²	—	2	8	no	—
2075	C₂²	—	2	2	no	—
2076	C₂²	—	2	2	no	—
2077	C₂²	—	2	2	no	—
2078	C₂²	—	2	2	no	—
2079	C₂²	—	2	2	no	—
2080	C₂²	—	2	2	no	—
2081	C₂²	—	2	2	no	—
2082	C₂²	—	2	2	no	—
2083	C₂²	—	2	2	no	—
2084	C₂²	—	2	2	no	—
2085	C₂²	—	2	2	no	—
2086	C₂²	—	2	2	no	—
2087	C₂²	—	2	2	no	—
2088	C₂²	—	2	2	no	—
2089	C₂²	—	2	2	no	—
2090	C₂²	—	2	2	no	—
2091	C₂²	—	2	2	no	—
2092	C₂²	—	4	4	no	—
2093	C₂²	—	4	4	no	—
2094	C₂²	—	4	4	no	—
2095	C₂²	—	4	4	no	—
2096	C₂²	—	4	4	no	—
2097	C₂²	—	8	8	no	—
2098	C₂²	—	8	8	no	—
2099	C₂²	—	106	2	no	—
2100	C₂²	—	106	2	no	—
2101	C₂²	—	106	2	no	—
2102	C₂²	—	106	2	no	—
2103	C₂²	—	106	2	no	—
2104	C₂²	—	106	2	no	—
2105	C₂²	—	106	2	no	—
2106	C₂²	—	106	2	no	—
2107	C₂²	—	106	2	no	—
2108	C₂²	—	106	2	no	—
2109	C₂²	—	106	2	no	—
2110	C₂²	—	106	2	no	—
2111	C₂²	—	106	2	no	—
2112	C₂²	—	106	2	no	—
2113	C₂²	—	106	2	no	—
2114	C₂²	—	424	8	no	—
2115	C₂²	—	424	8	no	—
2116	C₂²	—	424	8	no	—
2117	C₂²	—	424	8	no	—
2118	C₂²	—	212	4	no	—
2119	C₂²	—	212	4	no	—
2120	C₂²	—	212	4	no	—
2121	C₂²	—	212	4	no	—
2122	C₂²	—	212	4	no	—
2123	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2124	C₂²	C₂×#13133262	1	4	yes	—
2125	C₂²	C₂×#13133262	1	2	yes	—
2126	C₂²	#16811459	1	2	yes	—
2127	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2128	C₄	—	2	2	no	—
2129	C₄	—	2	2	no	—
2130	C₄	—	2	2	no	—
2131	C₄	—	2	2	no	—
2132	C₄	—	2	2	no	—
2133	C₄	—	2	2	no	—
2134	C₄	—	2	2	no	—
2135	C₄	—	2	2	no	—
2136	C₄	—	2	2	no	—
2137	C₄	—	53	4	no	—
2138	C₄	—	106	2	no	—
2139	C₄	—	106	2	no	—
2140	C₄	—	106	2	no	—
2141	C₄	—	106	2	no	—
2142	C₄	—	106	2	no	—
2143	C₄	—	106	2	no	—
2144	C₄	—	106	2	no	—
2145	C₄	—	106	2	no	—
2146	C₄	—	106	2	no	—
2147	C₄	—	106	2	no	—
2148	C₂	—	2	4	no	—
2149	C₂	—	4	2	no	—
2150	C₂	—	4	2	no	—
2151	C₂	—	4	2	no	—
2152	C₂	—	4	2	no	—
2153	C₂	—	4	2	no	—
2154	C₂	—	212	2	no	—
2155	C₂	—	212	2	no	—
2156	C₂	—	212	2	no	—
2157	C₂	—	212	2	no	—
2158	C₂	—	212	2	no	—
2159	C₂	#20289225	1	4	yes	direct product factor
2160	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2161	C₂	C₂²×#13133262	1	1	yes	characteristic
2162	C₂	C₂×#16811459	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×#3558
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. #20289225	C₂	direct (N × H)
2. C₂×#16811369	C₂	semidirect
3. C₂×#16811368	C₂	semidirect
4. C₂×#16811366	C₂	semidirect
5. C₂×#16811365	C₂	semidirect
6. C₂×#16811357	C₂	semidirect
7. C₂×#16811356	C₂	semidirect
8. C₂×#16811282	C₂	semidirect
9. C₂×#16811279	C₂	semidirect
10. C₂×#16811265	C₂	semidirect
11. C₂×#16811263	C₂	semidirect
12. C₂×#16811263	C₂	semidirect
13. C₂×#16811262	C₂	semidirect
14. C₂×#16811261	C₂	semidirect
15. C₂×D₄×C₂²⋊D₅₃	C₂	semidirect
16. C₂×#16811255	C₂	semidirect
17. C₂×#16811243	C₂	semidirect
18. C₂×#16811237	C₂	semidirect
19. C₂×#16811211	C₂	semidirect
20. C₂×#16811209	C₂	semidirect
21. C₂×#16811208	C₂	semidirect
22. C₂×#16811206	C₂	semidirect
23. C₂×#16811206	C₂	semidirect
24. C₂×#16811205	C₂	semidirect
25. C₂×#16811189	C₂	semidirect
26. C₂×#16811188	C₂	semidirect
27. C₂×#16811182	C₂	semidirect
28. C₂×#16811181	C₂	semidirect
29. C₂×#16811169	C₂	semidirect
30. C₂×#16811150	C₂	semidirect
31. C₂²×#13133203	C₂	semidirect
32. C₂×C₅₃×#546	C₂	semidirect
33. C₂²×#11719945	C₂²	semidirect
34. C₂²×#11719945	C₂²	semidirect
35. C₂²×#11719947	C₂²	semidirect
36. C₂³×Dic₁₀₆	C₂²	semidirect
38. C₂³×C₂²⋊D₅₃	C₂²	semidirect
39. C₂³×C₂²⋊D₅₃	C₂²	semidirect
40. C₂²×D₄×D₅₃	C₂²	semidirect
41. C₂²×D₄×D₅₃	C₂²	semidirect
42. C₂²×D₄×D₅₃	C₂²	semidirect
43. #16811369	C₂²	semidirect
44. #16811368	C₂²	semidirect
45. #16811366	C₂²	semidirect
46. #16811365	C₂²	semidirect
47. #16811357	C₂²	semidirect
48. #16811356	C₂²	semidirect
49. #16811282	C₂²	semidirect
50. #16811279	C₂²	semidirect
51. #16811265	C₂²	semidirect
52. #16811263	C₂²	semidirect
53. #16811263	C₂²	semidirect
54. #16811262	C₂²	semidirect
55. #16811261	C₂²	semidirect
56. D₄×C₂²⋊D₅₃	C₂²	semidirect
57. #16811255	C₂²	semidirect
58. #16811243	C₂²	semidirect
59. #16811237	C₂²	semidirect
60. #16811211	C₂²	semidirect
61. #16811209	C₂²	semidirect
62. #16811208	C₂²	semidirect
63. #16811206	C₂²	semidirect
64. #16811206	C₂²	semidirect
65. #16811205	C₂²	semidirect
66. #16811189	C₂²	semidirect
67. #16811188	C₂²	semidirect
68. #16811182	C₂²	semidirect
69. #16811181	C₂²	semidirect
70. #16811169	C₂²	semidirect
71. C₂×#13133215	C₂²	semidirect
74. C₂×#13133213	C₂²	semidirect
75. #16811150	C₂²	semidirect
76. C₂×#13133212	C₂²	semidirect
77. C₂×#13133212	C₂²	semidirect
78. C₂×#13133211	C₂²	semidirect
79. C₂×#13133210	C₂²	semidirect
80. C₂×#13133210	C₂²	semidirect
81. C₂×#13133210	C₂²	semidirect
82. C₂×#13133207	C₂²	semidirect
83. C₂×#13133206	C₂²	semidirect
84. C₂×#13133206	C₂²	semidirect
85. C₂×#13133205	C₂²	semidirect
86. C₂×#13133205	C₂²	semidirect
87. C₂×#13133204	C₂²	semidirect
88. C₂×#13133204	C₂²	semidirect
89. C₂×#13133204	C₂²	semidirect
90. C₂×#13133203	C₂²	semidirect
91. C₂×#13133203	C₂²	semidirect
92. C₂×#13133203	C₂²	semidirect
93. C₂×#13133203	C₂²	semidirect
94. C₂×#13133203	C₂²	semidirect
95. C₂×#13133203	C₂²	semidirect
96. C₂×#13133203	C₂²	semidirect
97. C₂×#13133203	C₂²	semidirect
98. C₂×#13133203	C₂²	semidirect
99. C₂×#13133203	C₂²	semidirect
100. C₂×#13133203	C₂²	semidirect
101. C₂×#13133203	C₂²	semidirect
102. C₂×#13133203	C₂²	semidirect
103. C₂×#13133203	C₂²	semidirect
104. C₂×#13133203	C₂²	semidirect
105. C₂×#13133203	C₂²	semidirect
106. C₂×#13133203	C₂²	semidirect
107. C₂×#13133203	C₂²	semidirect
108. C₂×#13133202	C₂²	semidirect
109. C₂×#13133202	C₂²	semidirect
110. C₂×#13133202	C₂²	semidirect
111. C₂×#13133202	C₂²	semidirect
112. C₂×#13133200	C₂²	semidirect
113. C₂×#13133200	C₂²	semidirect
114. C₂×#13133200	C₂²	semidirect
115. C₂×#13133200	C₂²	semidirect
116. C₂×#13133200	C₂²	semidirect
117. C₂×#13133199	C₂²	semidirect
118. C₂×#13133199	C₂²	semidirect
119. C₂×#13133199	C₂²	semidirect
120. C₂×#13133199	C₂²	semidirect
121. C₂×#13133198	C₂²	semidirect
122. C₂×#13133198	C₂²	semidirect
123. C₂×#13133198	C₂²	semidirect
124. C₂×#13133197	C₂²	semidirect
125. C₂×#13133196	C₂²	semidirect
126. C₂×#13133195	C₂²	semidirect
127. C₂×#13133195	C₂²	semidirect
128. C₂×#13133195	C₂²	semidirect
129. C₂×#13133194	C₂²	semidirect
130. C₂×#13133194	C₂²	semidirect
131. C₂×#13133194	C₂²	semidirect
132. C₂×#13133194	C₂²	semidirect
133. C₂×#13133193	C₂²	semidirect
134. C₂×#13133192	C₂²	semidirect
135. C₂×#13133191	C₂²	semidirect
136. C₂×#13133191	C₂²	semidirect
137. C₂×#13133191	C₂²	semidirect
138. C₂×#13133191	C₂²	semidirect
140. C₂×#13133190	C₂²	semidirect
141. C₂×#13133190	C₂²	semidirect
142. C₂×#13133190	C₂²	semidirect
143. C₂×#13133190	C₂²	semidirect
144. C₂×#13133190	C₂²	semidirect
147. C₂×#13133189	C₂²	semidirect
148. C₂×#13133189	C₂²	semidirect
149. C₂×#13133189	C₂²	semidirect
150. C₂×#13133189	C₂²	semidirect
151. C₂×#13133189	C₂²	semidirect
152. C₂×#13133189	C₂²	semidirect
153. C₂×#13133189	C₂²	semidirect
154. C₂×#13133189	C₂²	semidirect
155. C₂×#13133189	C₂²	semidirect
156. C₂×#13133188	C₂²	semidirect
157. C₂×#13133188	C₂²	semidirect
158. C₂×#13133187	C₂²	semidirect
159. C₂×#13133187	C₂²	semidirect
160. C₂×#13133187	C₂²	semidirect
161. C₂×#13133187	C₂²	semidirect
162. C₂×#13133187	C₂²	semidirect
163. C₂×#13133187	C₂²	semidirect
164. C₂×#13133186	C₂²	semidirect
165. C₂×#13133186	C₂²	semidirect
166. C₂×#13133186	C₂²	semidirect
167. C₂×#13133186	C₂²	semidirect
168. C₂×#13133185	C₂²	semidirect
169. C₂×#13133185	C₂²	semidirect
170. C₂×#13133185	C₂²	semidirect
171. C₂×#13133185	C₂²	semidirect
172. C₂×#13133185	C₂²	semidirect
173. C₂×#13133185	C₂²	semidirect
174. C₂×#13133185	C₂²	semidirect
175. C₂×#13133185	C₂²	semidirect
176. C₂×C₄×Dic₁₀₆	C₂²	semidirect
177. C₂×#13133182	C₂²	semidirect
178. C₂×#13133182	C₂²	semidirect
179. C₂×D₄×Dic₅₃	C₂²	semidirect
180. C₂×D₄×Dic₅₃	C₂²	semidirect
181. C₂×#13133179	C₂²	semidirect
182. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
183. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
184. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
185. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
186. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
187. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
188. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
189. C₂×#13133177	C₂²	semidirect
190. C₂×#13133177	C₂²	semidirect
191. C₂×#13133177	C₂²	semidirect
192. C₂×#13133177	C₂²	semidirect
193. C₂×#13133177	C₂²	semidirect
194. C₂×#13133175	C₂²	semidirect
195. C₂×#13133173	C₂²	semidirect
196. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
197. C₂²×#11719921	C₂²	semidirect
198. C₂²×#11719921	C₂²	semidirect
199. C₂²×#11719921	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
236. C₂²×Dic₁₀₆	C₂³	semidirect
269. C₂²×C₂²⋊D₅₃	C₂³	semidirect
270. C₂²×C₂²⋊D₅₃	C₂³	semidirect
274. C₂×D₄×D₅₃	C₂³	semidirect
275. C₂×D₄×D₅₃	C₂³	semidirect
276. C₂×D₄×D₅₃	C₂³	semidirect
290. #13133215	C₂³	semidirect
293. #13133213	C₂³	semidirect
294. #13133212	C₂³	semidirect
295. #13133212	C₂³	semidirect
296. #13133211	C₂³	semidirect
297. #13133210	C₂³	semidirect
298. #13133210	C₂³	semidirect
299. #13133210	C₂³	semidirect
300. #13133207	C₂³	semidirect
301. #13133206	C₂³	semidirect
302. #13133206	C₂³	semidirect
303. #13133205	C₂³	semidirect
304. #13133205	C₂³	semidirect
305. #13133204	C₂³	semidirect
306. #13133204	C₂³	semidirect
307. #13133204	C₂³	semidirect
308. #13133203	C₂³	semidirect
309. #13133203	C₂³	semidirect
310. #13133203	C₂³	semidirect
311. #13133203	C₂³	semidirect
312. #13133203	C₂³	semidirect
313. #13133203	C₂³	semidirect
314. #13133203	C₂³	semidirect
315. #13133203	C₂³	semidirect
316. #13133203	C₂³	semidirect
317. #13133203	C₂³	semidirect
318. #13133203	C₂³	semidirect
319. #13133203	C₂³	semidirect
320. #13133203	C₂³	semidirect
321. #13133203	C₂³	semidirect
322. #13133203	C₂³	semidirect
323. #13133203	C₂³	semidirect
324. #13133203	C₂³	semidirect
325. #13133202	C₂³	semidirect
326. #13133202	C₂³	semidirect
327. #13133202	C₂³	semidirect
328. #13133202	C₂³	semidirect
329. #13133200	C₂³	semidirect
330. #13133200	C₂³	semidirect
331. #13133200	C₂³	semidirect
332. #13133200	C₂³	semidirect
333. #13133200	C₂³	semidirect
334. #13133199	C₂³	semidirect
335. #13133199	C₂³	semidirect
336. #13133199	C₂³	semidirect
337. #13133199	C₂³	semidirect
338. #13133198	C₂³	semidirect
339. #13133198	C₂³	semidirect
340. #13133198	C₂³	semidirect
341. #13133197	C₂³	semidirect
342. #13133196	C₂³	semidirect
343. #13133195	C₂³	semidirect
344. #13133195	C₂³	semidirect
345. #13133195	C₂³	semidirect
346. #13133194	C₂³	semidirect
347. #13133194	C₂³	semidirect
348. #13133194	C₂³	semidirect
349. #13133194	C₂³	semidirect
350. #13133193	C₂³	semidirect
351. #13133192	C₂³	semidirect
352. #13133191	C₂³	semidirect
353. #13133191	C₂³	semidirect
354. #13133191	C₂³	semidirect
355. #13133191	C₂³	semidirect
357. #13133190	C₂³	semidirect
358. #13133190	C₂³	semidirect
359. #13133190	C₂³	semidirect
360. #13133190	C₂³	semidirect
361. #13133190	C₂³	semidirect
364. #13133189	C₂³	semidirect
365. #13133189	C₂³	semidirect
366. #13133189	C₂³	semidirect
367. #13133189	C₂³	semidirect
368. #13133189	C₂³	semidirect
369. #13133189	C₂³	semidirect
370. #13133189	C₂³	semidirect
371. #13133189	C₂³	semidirect
372. #13133189	C₂³	semidirect
373. #13133188	C₂³	semidirect
374. #13133188	C₂³	semidirect
375. #13133187	C₂³	semidirect
376. #13133187	C₂³	semidirect
377. #13133187	C₂³	semidirect
378. #13133187	C₂³	semidirect
379. #13133187	C₂³	semidirect
380. #13133187	C₂³	semidirect
381. #13133186	C₂³	semidirect
382. #13133186	C₂³	semidirect
383. #13133186	C₂³	semidirect
384. #13133186	C₂³	semidirect
385. #13133185	C₂³	semidirect
386. #13133185	C₂³	semidirect
387. #13133185	C₂³	semidirect
388. #13133185	C₂³	semidirect
389. #13133185	C₂³	semidirect
390. #13133185	C₂³	semidirect
391. #13133185	C₂³	semidirect
392. #13133185	C₂³	semidirect
393. C₄×Dic₁₀₆	C₂³	semidirect
394. #13133182	C₂³	semidirect
395. #13133182	C₂³	semidirect
396. D₄×Dic₅₃	C₂³	semidirect
397. D₄×Dic₅₃	C₂³	semidirect
398. #13133179	C₂³	semidirect
399. C₄×C₂²⋊D₅₃	C₂³	semidirect
400. C₄×C₂²⋊D₅₃	C₂³	semidirect
401. C₄×C₂²⋊D₅₃	C₂³	semidirect
402. C₄×C₂²⋊D₅₃	C₂³	semidirect
403. C₄×C₂²⋊D₅₃	C₂³	semidirect
404. C₄×C₂²⋊D₅₃	C₂³	semidirect
405. C₄×C₂²⋊D₅₃	C₂³	semidirect
406. #13133177	C₂³	semidirect
407. #13133177	C₂³	semidirect
408. #13133177	C₂³	semidirect
409. #13133177	C₂³	semidirect
410. #13133177	C₂³	semidirect
411. #13133175	C₂³	semidirect
412. #13133173	C₂³	semidirect
447. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
474. C₂×#11719921	C₂³	semidirect
475. C₂×#11719921	C₂³	semidirect
476. C₂×#11719921	C₂³	semidirect
477. C₂²⋊C₄×D₅₃	C₂³	semidirect
478. C₂²⋊C₄×D₅₃	C₂³	semidirect
488. C₂×C₄×Dic₅₃	C₂³	semidirect
492. C₂×#41×C₅₃	C₂³	semidirect
504. C₂²×D₄×C₅₃	C₂³	semidirect
511. #124×C₅₃	C₂³	semidirect
512. #123×C₅₃	C₂³	semidirect
513. #123×C₅₃	C₂³	semidirect
514. C₂²⋊Q₈×C₅₃	C₂³	semidirect
515. #121×C₅₃	C₂³	semidirect
516. #121×C₅₃	C₂³	semidirect
517. #121×C₅₃	C₂³	semidirect
518. #120×C₅₃	C₂³	semidirect
519. #120×C₅₃	C₂³	semidirect
520. C₄×D₄×C₅₃	C₂³	semidirect
521. C₄×D₄×C₅₃	C₂³	semidirect
538. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
539. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
1081. C₂×#546	D₅₃	semidirect
1105. C₂×C₅₃	#3558	semidirect
1117. C₂²×#41	C₂×D₅₃	semidirect
1125. C₂³×D₄	C₂×D₅₃	semidirect
1139. #546	C₂×D₅₃	semidirect
1192. C₂×#124	C₂×D₅₃	semidirect
1209. C₂×#123	C₂×D₅₃	semidirect
1210. C₂×#123	C₂×D₅₃	semidirect
1221. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1246. C₂×#121	C₂×D₅₃	semidirect
1247. C₂×#121	C₂×D₅₃	semidirect
1248. C₂×#121	C₂×D₅₃	semidirect
1267. C₂×#120	C₂×D₅₃	semidirect
1268. C₂×#120	C₂×D₅₃	semidirect
1287. C₂×C₄×D₄	C₂×D₅₃	semidirect
1288. C₂×C₄×D₄	C₂×D₅₃	semidirect
1297. C₂²×C₂²⋊C₄	C₂×D₅₃	semidirect
1298. C₂²×C₂²⋊C₄	C₂×D₅₃	semidirect
1300. C₅₃	C₂×#3558	semidirect
1314. C₂×#41	C₂²×D₅₃	semidirect
1374. C₂²×D₄	C₂²×D₅₃	semidirect
1429. #124	C₂²×D₅₃	semidirect
1446. #123	C₂²×D₅₃	semidirect
1447. #123	C₂²×D₅₃	semidirect
1458. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1483. #121	C₂²×D₅₃	semidirect
1484. #121	C₂²×D₅₃	semidirect
1485. #121	C₂²×D₅₃	semidirect
1504. #120	C₂²×D₅₃	semidirect
1505. #120	C₂²×D₅₃	semidirect
1524. C₄×D₄	C₂²×D₅₃	semidirect
1525. C₄×D₄	C₂²×D₅₃	semidirect
1610. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1611. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2159. C₂	#20289225	direct (N × H)

Maximal subgroups

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

subgroup	index
#20289225	2
C₂×#16811369	2
C₂×#16811368	2
C₂×#16811366	2
C₂×#16811365	2
C₂×#16811357	2
C₂×#16811356	2
C₂×#16811282	2
C₂×#16811279	2
C₂×#16811265	2
C₂×#16811263	2
C₂×#16811262	2
C₂×#16811261	2
C₂×D₄×C₂²⋊D₅₃	2
C₂×#16811255	2
C₂×#16811243	2
C₂×#16811237	2
C₂×#16811211	2
C₂×#16811209	2
C₂×#16811208	2
C₂×#16811206	2
C₂×#16811205	2
C₂×#16811189	2
C₂×#16811188	2
C₂×#16811182	2
C₂×#16811181	2
C₂×#16811169	2
C₂×#16811150	2
C₂²×#13133203	2
C₂×C₅₃×#546	2
C₂×#3558	53

Subgroups — C2×#20289225 #28291416

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20289225 #28291416