Subgroups — #28329104

Order 13568.

2372 conjugacy classes of subgroups.

The subgroup lattice has 2182 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291260	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291257	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291256	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291255	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291247	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291243	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291224	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291223	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291218	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291218	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291211	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291210	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291208	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291204	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291201	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291197	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291197	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291192	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291190	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291176	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811572	C₂	1	1	yes	maximal, characteristic, complemented
31	#547×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
33	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
34	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
36	C₂×#13133296	C₂²	1	1	yes	characteristic
37	C₂×#13133296	C₂²	1	1	yes	characteristic
38	C₂²×C₄⋊#6157	C₂²	1	1	yes	characteristic
39	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic
40	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
41	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
42	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
43	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
44	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
45	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
46	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
47	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic
48	#16811575	C₂²	1	1	yes	characteristic
49	#16811575	C₂²	1	1	yes	characteristic
50	#16811575	C₂²	1	1	yes	characteristic
51	#16811575	C₂²	1	1	yes	characteristic
52	#16811574	C₂²	1	1	yes	characteristic
53	#16811574	C₂²	1	1	yes	characteristic
54	#16811574	C₂²	1	1	yes	characteristic
55	#16811574	C₂²	1	1	yes	characteristic
56	#16811574	C₂²	1	1	yes	characteristic
57	#16811574	C₂²	1	1	yes	characteristic
58	#16811573	C₂²	1	1	yes	characteristic
59	#16811573	C₂²	1	1	yes	characteristic
60	#16811573	C₂²	1	1	yes	characteristic
61	#16811573	C₂²	1	1	yes	characteristic
62	#16811573	C₂²	1	1	yes	characteristic
63	#16811573	C₂²	1	1	yes	characteristic
64	#16811573	C₂²	1	1	yes	characteristic
65	#16811573	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811572	C₂²	1	1	yes	characteristic
75	#16811572	C₂²	1	1	yes	characteristic
76	#16811572	C₂²	1	1	yes	characteristic
77	#16811572	C₂²	1	1	yes	characteristic
78	#16811572	C₂²	1	1	yes	characteristic
79	#16811572	C₂²	1	1	yes	characteristic
80	#16811572	C₂²	1	1	yes	characteristic
81	#16811572	C₂²	1	1	yes	characteristic
82	#16811572	C₂²	1	1	yes	characteristic
83	#16811572	C₂²	1	1	yes	characteristic
84	#16811572	C₂²	1	1	yes	characteristic
85	#16811572	C₂²	1	1	yes	characteristic
86	#16811572	C₂²	1	1	yes	characteristic
87	#16811572	C₂²	1	1	yes	characteristic
88	#16811572	C₂²	1	1	yes	characteristic
89	#16811572	C₂²	1	1	yes	characteristic
90	#16811572	C₂²	1	1	yes	characteristic
91	#16811572	C₂²	1	1	yes	characteristic
92	#16811572	C₂²	1	1	yes	characteristic
93	#16811572	C₂²	1	1	yes	characteristic
94	#16811572	C₂²	1	1	yes	characteristic
95	#16811572	C₂²	1	1	yes	characteristic
96	#16811572	C₂²	1	1	yes	characteristic
97	#16811572	C₂²	1	1	yes	characteristic
98	#16811572	C₂²	1	1	yes	characteristic
99	#16811572	C₂²	1	1	yes	characteristic
100	#16811572	C₂²	1	1	yes	characteristic
101	#16811572	C₂²	1	1	yes	characteristic
102	#16811571	C₂²	1	1	yes	characteristic
103	#16811571	C₂²	1	1	yes	characteristic
104	#16811571	C₂²	1	1	yes	characteristic
105	#16811571	C₂²	1	1	yes	characteristic
106	#16811571	C₂²	1	1	yes	characteristic
107	#16811571	C₂²	1	1	yes	characteristic
108	#16811571	C₂²	1	1	yes	characteristic
109	#16811571	C₂²	1	1	yes	characteristic
110	#16811571	C₂²	1	1	yes	characteristic
111	#16811571	C₂²	1	1	yes	characteristic
112	#16811571	C₂²	1	1	yes	characteristic
113	#16811571	C₂²	1	1	yes	characteristic
114	#16811571	C₂²	1	1	yes	characteristic
115	#16811571	C₂²	1	1	yes	characteristic
116	#16811571	C₂²	1	1	yes	characteristic
117	#16811571	C₂²	1	1	yes	characteristic
118	#16811570	C₂²	1	1	yes	characteristic
119	#16811570	C₂²	1	1	yes	characteristic
120	#16811570	C₂²	1	1	yes	characteristic
121	#16811570	C₂²	1	1	yes	characteristic
122	#16811570	C₂²	1	1	yes	characteristic
123	#16811570	C₂²	1	1	yes	characteristic
124	#16811570	C₂²	1	1	yes	characteristic
125	#16811570	C₂²	1	1	yes	characteristic
126	#16811568	C₂²	1	1	yes	characteristic
127	#16811568	C₂²	1	1	yes	characteristic
128	#16811567	C₂²	1	1	yes	characteristic
129	#16811566	C₂²	1	1	yes	characteristic
130	#16811566	C₂²	1	1	yes	characteristic
131	#16811566	C₂²	1	1	yes	characteristic
132	#16811566	C₂²	1	1	yes	characteristic
133	#16811566	C₂²	1	1	yes	characteristic
134	#16811566	C₂²	1	1	yes	characteristic
135	#16811565	C₂²	1	1	yes	characteristic
136	#16811565	C₂²	1	1	yes	characteristic
137	#16811565	C₂²	1	1	yes	characteristic
138	#16811565	C₂²	1	1	yes	characteristic
139	#16811565	C₂²	1	1	yes	characteristic
140	#16811565	C₂²	1	1	yes	characteristic
141	#16811565	C₂²	1	1	yes	characteristic
142	#16811565	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
157	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
165	#16811559	C₂²	1	1	yes	characteristic
166	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
167	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
168	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
169	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
171	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
172	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
173	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
174	#16811278	C₄	1	1	yes	characteristic, complemented
175	#16811277	C₄	1	1	yes	characteristic, complemented
176	#16811276	C₄	1	1	yes	characteristic, complemented
177	#16811275	C₄	1	1	yes	characteristic, complemented
178	#16811275	C₄	1	1	yes	characteristic, complemented
179	#16811274	C₄	1	1	yes	characteristic, complemented
180	#16811274	C₄	1	1	yes	characteristic, complemented
181	#16811273	C₄	1	1	yes	characteristic, complemented
182	#16811273	C₄	1	1	yes	characteristic, complemented
183	#16811272	C₄	1	1	yes	characteristic, complemented
184	#16811272	C₄	1	1	yes	characteristic, complemented
185	#16811271	C₄	1	1	yes	characteristic, complemented
186	#16811271	C₄	1	1	yes	characteristic, complemented
187	#16811271	C₄	1	1	yes	characteristic, complemented
188	#16811271	C₄	1	1	yes	characteristic, complemented
189	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
190	#123×D₅₃	C₂²	1	1	yes	characteristic
191	#123×D₅₃	C₂²	1	1	yes	characteristic
192	#123×D₅₃	C₂²	1	1	yes	characteristic
193	#123×D₅₃	C₂²	1	1	yes	characteristic
194	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
195	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
196	#121×D₅₃	C₂²	1	1	yes	characteristic
197	#121×D₅₃	C₂²	1	1	yes	characteristic
198	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
200	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#547	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	C₂³	1	1	yes	characteristic
204	C₂³×#6157	C₂³	1	1	yes	characteristic
205	C₂³×#6157	C₂³	1	1	yes	characteristic
206	C₂³×#6157	C₂³	1	1	yes	characteristic
207	C₂³×#6157	C₂³	1	1	yes	characteristic
208	C₂³×#6157	C₂³	1	1	yes	characteristic
209	C₂³×#6157	C₂³	1	1	yes	characteristic
210	C₂³×#6157	C₂³	1	1	yes	characteristic
211	D₄×#6157	—	4	2	no	—
212	D₄×#6157	—	4	2	no	—
213	D₄×#6157	—	4	2	no	—
214	D₄×#6157	—	4	2	no	—
215	#13133296	—	4	2	no	—
216	#13133296	—	4	2	no	—
217	C₂×C₄⋊#6157	—	4	2	no	—
218	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
260	C₂×C₄×#6157	—	4	2	no	—
261	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
262	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
263	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
264	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
265	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
266	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
267	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
268	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
269	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
270	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
271	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
272	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
273	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
274	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
275	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
276	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
277	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
278	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
279	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
280	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
281	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×#11719949	C₂×C₄	1	1	yes	characteristic, complemented
332	C₂×#11719949	C₂×C₄	1	1	yes	characteristic, complemented
333	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
334	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
335	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
336	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
337	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
338	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
339	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
340	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
341	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
342	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
343	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
344	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
345	#41×D₅₃	—	4	2	no	—
346	#41×D₅₃	—	4	2	no	—
347	#41×D₅₃	—	4	2	no	—
348	#41×D₅₃	—	4	2	no	—
349	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
350	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
351	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
352	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
353	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
354	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
355	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
356	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
357	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
358	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
359	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
360	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
361	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
362	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
363	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
364	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
365	#13133217	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133216	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133215	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133215	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
404	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
405	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
410	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
411	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133192	C₂×C₄	1	1	yes	characteristic
415	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
416	#13133191	C₂×C₄	1	1	yes	characteristic
417	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133190	C₂×C₄	1	1	yes	characteristic
419	#13133190	C₂×C₄	1	1	yes	characteristic
420	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133189	C₂×C₄	1	1	yes	characteristic
423	#13133189	C₂×C₄	1	1	yes	characteristic
424	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133188	C₂×C₄	1	1	yes	characteristic
427	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
428	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
429	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
430	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
431	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
432	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
433	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
434	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
435	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
436	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
437	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
438	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
439	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
440	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
441	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
442	C₂×C₄⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
443	C₂×C₄⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
444	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
445	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
446	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
447	C₂×#11719919	C₂×C₄	1	1	yes	characteristic, complemented
448	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
449	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
450	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
451	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
452	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
453	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
454	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
455	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
456	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
459	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
461	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
462	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
463	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
464	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
465	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
466	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
473	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
474	C₄²×D₅₃	C₂³	1	1	yes	characteristic
475	C₂×#41×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	C₂×#41×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	C₄⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
481	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
485	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
486	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
487	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
488	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
489	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
490	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
491	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
492	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
493	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
494	C₂²×#6157	—	2	2	no	—
495	C₂²×#6157	—	2	2	no	—
496	C₂²×#6157	—	2	2	no	—
497	C₂²×#6157	—	2	2	no	—
498	C₂²×#6157	—	2	2	no	—
499	C₂²×#6157	—	2	2	no	—
500	C₂²×#6157	—	4	1	no	—
501	C₂²×#6157	—	4	1	no	—
502	C₂²×#6157	—	4	1	no	—
503	C₂²×#6157	—	4	1	no	—
504	C₂²×#6157	—	4	1	no	—
505	C₂²×#6157	—	4	1	no	—
506	C₂²×#6157	—	4	1	no	—
507	C₂²×#6157	—	4	1	no	—
508	C₂²×#6157	—	4	1	no	—
509	C₂²×#6157	—	4	1	no	—
510	C₂²×#6157	—	4	1	no	—
511	C₂²×#6157	—	4	1	no	—
512	C₂²×#6157	—	4	1	no	—
513	C₂²×#6157	—	4	1	no	—
514	C₂²×#6157	—	4	1	no	—
515	C₂²×#6157	—	4	1	no	—
516	C₂²×#6157	—	4	1	no	—
517	C₂²×#6157	—	4	1	no	—
518	C₂²×#6157	C₂⁴	1	1	yes	characteristic
519	C₂²×#6157	C₂⁴	1	1	yes	characteristic
520	C₂²×#6157	C₂⁴	1	1	yes	characteristic
521	C₂²×#6157	C₂⁴	1	1	yes	characteristic
522	C₂²×#6157	C₂⁴	1	1	yes	characteristic
523	C₂²×#6157	C₂⁴	1	1	yes	characteristic
524	C₂²×#6157	C₂⁴	1	1	yes	characteristic
525	C₂²×#6157	C₂⁴	1	1	yes	characteristic
526	C₂²×#6157	C₂⁴	1	1	yes	characteristic
527	C₂²×#6157	C₂⁴	1	1	yes	characteristic
528	C₂²×#6157	C₂⁴	1	1	yes	characteristic
529	C₂²×#6157	C₂⁴	1	1	yes	characteristic
530	C₂²×#6157	C₂⁴	1	1	yes	characteristic
531	C₂²×#6157	C₂⁴	1	1	yes	characteristic
532	C₂²×#6157	C₂⁴	1	1	yes	characteristic
533	C₂²×#6157	C₂⁴	1	1	yes	characteristic
534	#41×C₅₃	—	4	2	no	—
535	#41×C₅₃	—	4	2	no	—
536	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
539	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
540	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
541	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
547	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
548	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
549	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
550	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
551	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
564	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
565	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
567	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
572	#11719949	—	4	2	no	—
573	#11719949	—	4	2	no	—
574	Q₈×D₅₃	—	4	1	no	—
575	Q₈×D₅₃	—	4	1	no	—
576	Q₈×D₅₃	—	4	1	no	—
577	Q₈×D₅₃	—	4	1	no	—
578	#11719947	—	4	2	no	—
579	#11719947	—	4	2	no	—
580	#11719947	—	4	2	no	—
581	#11719947	—	4	2	no	—
582	#11719947	—	4	2	no	—
583	#11719947	—	4	2	no	—
584	D₄×D₅₃	—	2	2	no	—
585	D₄×D₅₃	—	2	2	no	—
586	D₄×D₅₃	—	2	2	no	—
587	D₄×D₅₃	—	2	2	no	—
588	D₄×D₅₃	—	2	2	no	—
589	D₄×D₅₃	—	2	2	no	—
590	D₄×D₅₃	—	4	1	no	—
591	D₄×D₅₃	—	4	1	no	—
592	D₄×D₅₃	—	4	1	no	—
593	D₄×D₅₃	—	4	1	no	—
594	D₄×D₅₃	—	4	1	no	—
595	D₄×D₅₃	—	4	1	no	—
596	#11719945	—	4	2	no	—
597	#11719945	—	4	2	no	—
598	#11719945	—	4	2	no	—
599	#11719945	—	4	2	no	—
600	#11719945	—	4	2	no	—
601	#11719945	—	4	2	no	—
602	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
603	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
604	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
605	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
606	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
607	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₄×D₅₃	—	2	2	no	—
609	C₂×C₄×D₅₃	—	2	2	no	—
610	C₂×C₄×D₅₃	—	2	2	no	—
611	C₂×C₄×D₅₃	—	2	2	no	—
612	C₂×C₄×D₅₃	—	4	1	no	—
613	C₂×C₄×D₅₃	—	4	1	no	—
614	C₂×C₄×D₅₃	—	4	1	no	—
615	C₂×C₄×D₅₃	—	4	1	no	—
616	C₂×C₄×D₅₃	—	4	1	no	—
617	C₂×C₄×D₅₃	—	4	1	no	—
618	C₂×C₄×D₅₃	—	4	1	no	—
619	C₂×C₄×D₅₃	—	4	1	no	—
620	C₂×C₄×D₅₃	—	4	1	no	—
621	C₂×C₄×D₅₃	—	4	1	no	—
622	C₂×C₄×D₅₃	—	4	1	no	—
623	C₂×C₄×D₅₃	—	4	1	no	—
624	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
625	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
641	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
642	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
643	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
644	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
645	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
646	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
648	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
649	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
650	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
651	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
652	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
653	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
654	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
655	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
656	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊#6157	—	2	2	no	—
658	C₂²⋊#6157	—	2	2	no	—
659	C₂²⋊#6157	—	2	2	no	—
660	C₂²⋊#6157	—	2	2	no	—
661	C₂²⋊#6157	—	2	2	no	—
662	C₂²⋊#6157	—	2	2	no	—
663	C₂²⋊#6157	—	4	1	no	—
664	C₂²⋊#6157	—	4	1	no	—
665	C₂²⋊#6157	—	4	1	no	—
666	C₂²⋊#6157	—	4	1	no	—
667	C₂²⋊#6157	—	4	1	no	—
668	C₂²⋊#6157	—	4	1	no	—
669	C₂²⋊#6157	—	4	1	no	—
670	C₂²⋊#6157	—	4	1	no	—
671	C₂²⋊#6157	—	4	1	no	—
672	C₂²⋊#6157	—	4	1	no	—
673	C₂²⋊#6157	—	4	1	no	—
674	C₂²⋊#6157	—	4	1	no	—
675	C₂²⋊#6157	—	4	1	no	—
676	C₂²⋊#6157	—	4	1	no	—
677	C₂²⋊#6157	—	4	1	no	—
678	C₂²⋊#6157	—	4	1	no	—
679	C₂²⋊#6157	—	4	1	no	—
680	C₂²⋊#6157	—	4	1	no	—
681	C₄⋊#6157	—	4	1	no	—
682	C₄⋊#6157	—	4	1	no	—
683	C₄⋊#6157	—	4	1	no	—
684	C₄⋊#6157	—	4	1	no	—
685	C₄⋊#6157	—	4	1	no	—
686	C₄⋊#6157	—	4	1	no	—
687	C₄⋊#6157	—	4	1	no	—
688	C₄⋊#6157	—	4	1	no	—
689	C₄⋊#6157	—	4	1	no	—
690	C₄⋊#6157	—	4	1	no	—
691	C₄⋊#6157	—	4	1	no	—
692	C₄⋊#6157	—	4	1	no	—
693	C₄⋊#6157	—	4	1	no	—
694	C₄⋊#6157	—	4	1	no	—
695	C₄⋊#6157	—	4	1	no	—
696	C₄⋊#6157	—	4	1	no	—
697	C₄⋊#6157	—	4	1	no	—
698	C₄⋊#6157	—	4	1	no	—
699	C₄×#6157	—	2	2	no	—
700	C₄×#6157	—	4	1	no	—
701	C₄×#6157	—	4	1	no	—
702	C₄×#6157	—	4	1	no	—
703	C₄×#6157	—	4	1	no	—
704	C₄×#6157	—	4	1	no	—
705	C₄×#6157	—	4	1	no	—
706	C₄×#6157	—	4	1	no	—
707	C₄×#6157	—	4	1	no	—
708	C₄×#6157	—	4	1	no	—
709	C₄×#6157	—	4	1	no	—
710	C₄×#6157	—	4	1	no	—
711	C₄×#6157	—	4	1	no	—
712	C₄×#6157	—	4	1	no	—
713	C₄×#6157	—	4	1	no	—
714	C₄×#6157	—	4	1	no	—
715	C₄×#6157	—	4	1	no	—
716	C₄×#6157	—	4	1	no	—
717	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
718	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
719	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
720	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
721	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
722	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
723	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
724	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
725	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
726	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
727	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
728	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
729	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
730	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
731	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
732	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
733	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
734	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
735	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
736	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
737	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
738	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
739	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
740	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
741	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
742	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
743	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
744	#11719921	C₂²×C₄	1	1	yes	characteristic
745	#11719921	C₂²×C₄	1	1	yes	characteristic
746	#11719921	C₂²×C₄	1	1	yes	characteristic
747	#11719921	C₂²×C₄	1	1	yes	characteristic
748	#11719921	C₂²×C₄	1	1	yes	characteristic
749	#11719921	C₂²×C₄	1	1	yes	characteristic
750	#11719921	C₂²×C₄	1	1	yes	characteristic
751	#11719921	C₂²×C₄	1	1	yes	characteristic
752	#11719921	C₂²×C₄	1	1	yes	characteristic
753	#11719921	C₂²×C₄	1	1	yes	characteristic
754	#11719921	C₂²×C₄	1	1	yes	characteristic
755	#11719921	C₂²×C₄	1	1	yes	characteristic
756	#11719921	C₂²×C₄	1	1	yes	characteristic
757	#11719921	C₂²×C₄	1	1	yes	characteristic
758	#11719921	C₂²×C₄	1	1	yes	characteristic
759	#11719921	C₂²×C₄	1	1	yes	characteristic
760	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
761	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
762	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
763	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
764	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
765	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
766	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
767	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
768	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
769	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
770	#11719919	C₂²×C₄	1	1	yes	characteristic
771	#11719919	C₂²×C₄	1	1	yes	characteristic
772	#11719919	C₂²×C₄	1	1	yes	characteristic
773	#11719919	C₂²×C₄	1	1	yes	characteristic
774	#11719919	C₂²×C₄	1	1	yes	characteristic
775	#11719919	C₂²×C₄	1	1	yes	characteristic
776	#11719919	C₂²×C₄	1	1	yes	characteristic
777	#11719919	C₂²×C₄	1	1	yes	characteristic
778	#11719919	C₂²×C₄	1	1	yes	characteristic
779	#11719919	C₂²×C₄	1	1	yes	characteristic
780	#11719919	C₂²×C₄	1	1	yes	characteristic
781	#11719919	C₂²×C₄	1	1	yes	characteristic
782	#11719919	C₂²×C₄	1	1	yes	characteristic
783	#11719919	C₂²×C₄	1	1	yes	characteristic
784	#11719919	C₂²×C₄	1	1	yes	characteristic
785	#11719919	C₂²×C₄	1	1	yes	characteristic
786	#11719919	C₂²×C₄	1	1	yes	characteristic
787	#11719919	C₂²×C₄	1	1	yes	characteristic
788	#11719919	C₂²×C₄	1	1	yes	characteristic
789	#11719919	C₂²×C₄	1	1	yes	characteristic
790	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
791	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
792	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
793	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
794	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
795	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
796	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
797	C₂²×D₅₃	—	2	1	no	—
798	C₂²×D₅₃	—	2	1	no	—
799	C₂²×D₅₃	—	2	1	no	—
800	C₂²×D₅₃	—	2	1	no	—
801	C₂²×D₅₃	—	2	1	no	—
802	C₂²×D₅₃	—	2	1	no	—
803	C₂²×D₅₃	—	2	1	no	—
804	C₂²×D₅₃	—	2	1	no	—
805	C₂²×D₅₃	—	2	1	no	—
806	C₂²×D₅₃	—	2	1	no	—
807	C₂²×D₅₃	—	2	1	no	—
808	C₂²×D₅₃	—	2	1	no	—
809	C₂²×D₅₃	—	2	1	no	—
810	C₂²×D₅₃	—	2	1	no	—
811	C₂²×D₅₃	—	2	1	no	—
812	C₂²×D₅₃	—	2	1	no	—
813	C₂²×D₅₃	—	2	1	no	—
814	C₂²×D₅₃	—	2	1	no	—
815	C₂²×D₅₃	—	2	1	no	—
816	C₂²×D₅₃	—	2	1	no	—
817	C₂²×D₅₃	—	2	1	no	—
818	C₂²×D₅₃	—	2	1	no	—
819	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
820	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
821	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
822	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
823	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
824	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
825	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
826	C₂×#6157	—	2	1	no	—
827	C₂×#6157	—	2	1	no	—
828	C₂×#6157	—	2	1	no	—
829	C₂×#6157	—	2	1	no	—
830	C₂×#6157	—	2	1	no	—
831	C₂×#6157	—	2	1	no	—
832	C₂×#6157	—	2	1	no	—
833	C₂×#6157	—	2	1	no	—
834	C₂×#6157	—	2	1	no	—
835	C₂×#6157	—	2	1	no	—
836	C₂×#6157	—	2	1	no	—
837	C₂×#6157	—	2	1	no	—
838	C₂×#6157	—	2	1	no	—
839	C₂×#6157	—	2	1	no	—
840	C₂×#6157	—	2	1	no	—
841	C₂×#6157	—	2	1	no	—
842	C₂×#6157	—	2	1	no	—
843	C₂×#6157	—	2	1	no	—
844	C₂×#6157	—	2	1	no	—
845	C₂×#6157	—	2	1	no	—
846	C₂×#6157	—	2	1	no	—
847	C₂×#6157	—	2	1	no	—
848	C₂×#6157	—	2	1	no	—
849	C₂×#6157	—	2	1	no	—
850	C₂×#6157	—	2	1	no	—
851	C₂×#6157	—	2	1	no	—
852	C₂×#6157	—	2	1	no	—
853	C₂×#6157	—	2	1	no	—
854	C₂×#6157	—	2	1	no	—
855	C₂×#6157	—	2	1	no	—
856	C₂×#6157	—	2	1	no	—
857	C₂×#6157	—	2	1	no	—
858	C₂×#6157	—	2	1	no	—
859	C₂×#6157	—	2	1	no	—
860	C₂×#6157	—	2	1	no	—
861	C₂×#6157	—	2	1	no	—
862	C₂×#6157	—	2	1	no	—
863	C₂×#6157	—	2	1	no	—
864	C₂×#6157	—	2	1	no	—
865	C₂×#6157	—	2	1	no	—
866	C₂×#6157	—	2	1	no	—
867	C₂×#6157	—	2	1	no	—
868	C₂×#6157	—	2	1	no	—
869	C₂×#6157	—	2	1	no	—
870	C₂×#6157	—	2	1	no	—
871	C₂×#6157	—	2	1	no	—
872	C₂×#6157	—	2	1	no	—
873	C₂×#6157	—	4	4	no	—
874	C₂×#6157	—	4	4	no	—
875	C₂×#6157	—	8	2	no	—
876	C₂×#6157	—	8	2	no	—
877	C₂×#6157	—	8	2	no	—
878	C₂×#6157	—	8	2	no	—
879	C₂×#6157	—	8	2	no	—
880	C₂×#6157	—	8	2	no	—
881	C₂×#6157	2₋¹⁺⁴	1	2	yes	—
882	Q₈×C₅₃	—	4	1	no	—
883	Q₈×C₅₃	—	4	1	no	—
884	D₄×C₅₃	—	2	2	no	—
885	D₄×C₅₃	—	2	2	no	—
886	D₄×C₅₃	—	2	2	no	—
887	D₄×C₅₃	—	4	1	no	—
888	D₄×C₅₃	—	4	1	no	—
889	D₄×C₅₃	—	4	1	no	—
890	C₂×C₄×C₅₃	—	2	2	no	—
891	C₂×C₄×C₅₃	—	2	2	no	—
892	C₂×C₄×C₅₃	—	4	1	no	—
893	C₂×C₄×C₅₃	—	4	1	no	—
894	C₂×C₄×C₅₃	—	4	1	no	—
895	C₂×C₄×C₅₃	—	4	1	no	—
896	C₂×C₄×C₅₃	—	4	1	no	—
897	C₂×C₄×C₅₃	—	4	1	no	—
898	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
899	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
900	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
901	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
902	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
903	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
904	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
905	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
906	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
907	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
908	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
909	C₂²⋊D₅₃	—	2	2	no	—
910	C₂²⋊D₅₃	—	2	2	no	—
911	C₂²⋊D₅₃	—	2	2	no	—
912	C₂²⋊D₅₃	—	2	2	no	—
913	C₂²⋊D₅₃	—	2	2	no	—
914	C₂²⋊D₅₃	—	2	2	no	—
915	C₂²⋊D₅₃	—	4	1	no	—
916	C₂²⋊D₅₃	—	4	1	no	—
917	C₂²⋊D₅₃	—	4	1	no	—
918	C₂²⋊D₅₃	—	4	1	no	—
919	C₂²⋊D₅₃	—	4	1	no	—
920	C₂²⋊D₅₃	—	4	1	no	—
921	C₂×Dic₅₃	—	2	2	no	—
922	C₂×Dic₅₃	—	2	2	no	—
923	C₂×Dic₅₃	—	4	1	no	—
924	C₂×Dic₅₃	—	4	1	no	—
925	C₂×Dic₅₃	—	4	1	no	—
926	C₂×Dic₅₃	—	4	1	no	—
927	C₂×Dic₅₃	—	4	1	no	—
928	C₂×Dic₅₃	—	4	1	no	—
929	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
930	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
931	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
932	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
933	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
934	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
935	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
936	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
937	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
938	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
939	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
940	D₂₁₂	—	2	2	no	—
941	D₂₁₂	—	2	2	no	—
942	D₂₁₂	—	2	2	no	—
943	D₂₁₂	—	4	1	no	—
944	D₂₁₂	—	4	1	no	—
945	D₂₁₂	—	4	1	no	—
946	C₄×D₅₃	—	2	2	no	—
947	C₄×D₅₃	—	2	2	no	—
948	C₄×D₅₃	—	2	2	no	—
949	C₄×D₅₃	—	2	2	no	—
950	C₄×D₅₃	—	2	1	no	—
951	C₄×D₅₃	—	2	1	no	—
952	C₄×D₅₃	—	2	1	no	—
953	C₄×D₅₃	—	2	1	no	—
954	C₄×D₅₃	—	2	1	no	—
955	C₄×D₅₃	—	2	1	no	—
956	C₄×D₅₃	—	2	1	no	—
957	C₄×D₅₃	—	2	1	no	—
958	C₄×D₅₃	—	2	1	no	—
959	C₄×D₅₃	—	2	1	no	—
960	C₄×D₅₃	—	2	1	no	—
961	C₄×D₅₃	—	2	1	no	—
962	C₄×D₅₃	—	2	1	no	—
963	C₄×D₅₃	—	2	1	no	—
964	C₄×D₅₃	—	2	1	no	—
965	C₄×D₅₃	—	2	1	no	—
966	C₄×D₅₃	—	2	1	no	—
967	C₄×D₅₃	—	2	1	no	—
968	C₄×D₅₃	—	2	1	no	—
969	C₄×D₅₃	—	2	1	no	—
970	C₄×D₅₃	—	2	1	no	—
971	C₄×D₅₃	—	2	1	no	—
972	C₄×D₅₃	—	4	1	no	—
973	C₄×D₅₃	—	4	1	no	—
974	C₄×D₅₃	—	4	1	no	—
975	C₄×D₅₃	—	4	1	no	—
976	C₄×D₅₃	—	4	1	no	—
977	C₄×D₅₃	—	4	1	no	—
978	C₄×D₅₃	—	4	1	no	—
979	C₄×D₅₃	—	4	1	no	—
980	C₄×D₅₃	—	4	1	no	—
981	C₄×D₅₃	—	4	1	no	—
982	C₄×D₅₃	—	4	1	no	—
983	C₄×D₅₃	—	4	1	no	—
984	Dic₁₀₆	—	4	1	no	—
985	Dic₁₀₆	—	4	1	no	—
986	Dic₁₀₆	—	4	1	no	—
987	Dic₁₀₆	—	4	1	no	—
988	Dic₁₀₆	—	4	1	no	—
989	Dic₁₀₆	—	4	1	no	—
990	#34469	—	53	1	no	maximal, Sylow
991	C₂²×C₅₃	—	2	1	no	—
992	C₂²×C₅₃	—	2	1	no	—
993	C₂²×C₅₃	—	2	1	no	—
994	C₂²×C₅₃	—	2	1	no	—
995	C₂²×C₅₃	—	2	1	no	—
996	C₂²×C₅₃	—	2	1	no	—
997	C₂²×C₅₃	—	2	1	no	—
998	C₂²×C₅₃	—	2	1	no	—
999	C₂²×C₅₃	—	2	1	no	—
1000	C₂²×C₅₃	—	2	1	no	—
1001	C₂²×C₅₃	—	2	1	no	—
1002	C₂²×C₅₃	#518	1	2	yes	—
1003	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
1004	C₂×D₅₃	—	2	1	no	—
1005	C₂×D₅₃	—	2	1	no	—
1006	C₂×D₅₃	—	2	2	no	—
1007	C₂×D₅₃	—	2	2	no	—
1008	C₂×D₅₃	—	2	2	no	—
1009	C₂×D₅₃	—	2	2	no	—
1010	C₂×D₅₃	—	2	1	no	—
1011	C₂×D₅₃	—	2	1	no	—
1012	C₂×D₅₃	—	2	1	no	—
1013	C₂×D₅₃	—	2	1	no	—
1014	C₂×D₅₃	—	2	1	no	—
1015	C₂×D₅₃	—	2	1	no	—
1016	C₂×D₅₃	—	2	1	no	—
1017	C₂×D₅₃	—	2	1	no	—
1018	C₂×D₅₃	—	2	1	no	—
1019	C₂×D₅₃	—	4	1	no	—
1020	C₂×D₅₃	—	4	1	no	—
1021	C₂×D₅₃	—	4	1	no	—
1022	C₂×D₅₃	—	4	1	no	—
1023	C₂×D₅₃	—	4	1	no	—
1024	C₂×D₅₃	—	4	1	no	—
1025	C₂×D₅₃	—	4	1	no	—
1026	C₂×D₅₃	—	4	1	no	—
1027	C₂×D₅₃	—	4	1	no	—
1028	C₂×D₅₃	—	4	1	no	—
1029	C₂×D₅₃	—	4	1	no	—
1030	C₂×D₅₃	—	4	1	no	—
1031	C₂×D₅₃	#518	1	2	yes	—
1032	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1033	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1034	C₂×D₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1035	C₂×D₅₃	#585	1	1	yes	characteristic
1036	C₂×D₅₃	#585	1	1	yes	characteristic
1037	C₂×D₅₃	#585	1	1	yes	characteristic
1038	#6157	—	2	2	no	—
1039	#6157	—	4	1	no	—
1040	#6157	—	4	1	no	—
1041	#6157	—	4	1	no	—
1042	#6157	—	4	1	no	—
1043	#6157	—	4	1	no	—
1044	#6157	—	4	1	no	—
1045	#6157	—	4	1	no	—
1046	#6157	—	4	1	no	—
1047	#6157	—	4	1	no	—
1048	#6157	—	4	1	no	—
1049	#6157	—	4	1	no	—
1050	#6157	—	4	1	no	—
1051	#6157	—	4	1	no	—
1052	#6157	—	4	1	no	—
1053	#6157	—	4	1	no	—
1054	C₄×C₅₃	—	2	1	no	—
1055	C₄×C₅₃	—	2	1	no	—
1056	C₄×C₅₃	—	2	1	no	—
1057	C₄×C₅₃	—	2	1	no	—
1058	C₄×C₅₃	—	2	1	no	—
1059	C₄×C₅₃	—	2	1	no	—
1060	C₄×C₅₃	—	2	1	no	—
1061	C₄×C₅₃	—	2	1	no	—
1062	C₄×C₅₃	—	2	1	no	—
1063	C₄×C₅₃	—	2	1	no	—
1064	C₄×C₅₃	—	2	1	no	—
1065	Dic₅₃	—	2	1	no	—
1066	Dic₅₃	—	2	1	no	—
1067	Dic₅₃	—	2	1	no	—
1068	Dic₅₃	—	2	1	no	—
1069	Dic₅₃	—	2	1	no	—
1070	Dic₅₃	—	2	1	no	—
1071	Dic₅₃	—	2	1	no	—
1072	Dic₅₃	—	2	1	no	—
1073	Dic₅₃	—	2	1	no	—
1074	Dic₅₃	—	2	1	no	—
1075	Dic₅₃	—	2	1	no	—
1076	C₂×#547	—	53	1	no	—
1077	#2381	—	53	1	no	—
1078	#2378	—	53	1	no	—
1079	#2377	—	53	1	no	—
1080	#2376	—	53	1	no	—
1081	#2374	—	53	1	no	—
1082	#2368	—	53	1	no	—
1083	#2364	—	53	1	no	—
1084	#2359	—	53	1	no	—
1085	#2359	—	53	1	no	—
1086	#2353	—	53	1	no	—
1087	#2353	—	53	1	no	—
1088	#2345	—	53	1	no	—
1089	#2344	—	53	1	no	—
1090	#2339	—	53	1	no	—
1091	#2339	—	53	1	no	—
1092	#2335	—	53	1	no	—
1093	#2335	—	53	1	no	—
1094	#2333	—	53	1	no	—
1095	#2332	—	53	1	no	—
1096	#2331	—	53	1	no	—
1097	#2329	—	53	1	no	—
1098	#2325	—	53	1	no	—
1099	#2322	—	53	1	no	—
1100	#2318	—	53	1	no	—
1101	#2318	—	53	1	no	—
1102	#2313	—	53	1	no	—
1103	#2311	—	53	1	no	—
1104	C₄×#123	—	53	1	no	—
1105	#2297	—	53	1	no	—
1106	C₂×#387	—	53	1	no	—
1107	C₂×C₅₃	—	2	2	no	—
1108	C₂×C₅₃	—	4	1	no	—
1109	C₂×C₅₃	—	4	1	no	—
1110	C₂×C₅₃	—	4	1	no	—
1111	C₂×C₅₃	C₂×#518	1	1	yes	characteristic
1112	C₂×C₅₃	#3428	1	1	yes	characteristic
1113	C₂×C₅₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1114	D₅₃	—	2	2	no	—
1115	D₅₃	—	4	1	no	—
1116	D₅₃	—	4	1	no	—
1117	D₅₃	—	4	1	no	—
1118	D₅₃	#3533	1	1	yes	characteristic
1119	D₅₃	#3535	1	1	yes	characteristic
1120	D₅₃	#3559	1	1	yes	characteristic
1121	D₅₃	#3560	1	1	yes	characteristic
1122	C₂²×#41	—	53	1	no	—
1123	C₂²×#41	—	53	1	no	—
1124	#547	—	53	1	no	—
1125	#547	—	53	1	no	—
1126	#547	—	53	1	no	—
1127	#547	—	53	1	no	—
1128	#547	—	53	1	no	—
1129	#547	—	53	1	no	—
1130	#547	—	53	1	no	—
1131	#547	—	53	1	no	—
1132	#547	—	53	1	no	—
1133	#547	—	53	1	no	—
1134	#547	—	53	1	no	—
1135	#547	—	53	1	no	—
1136	#547	—	53	1	no	—
1137	#547	—	53	1	no	—
1138	#547	—	53	1	no	—
1139	#547	#6157	1	1	yes	characteristic, complemented
1140	C₂×C₄⋊Q₈	—	53	1	no	—
1141	C₂×#123	—	53	1	no	—
1142	C₂×#123	—	53	1	no	—
1143	C₂×#123	—	53	1	no	—
1144	C₂×#123	—	53	1	no	—
1145	C₂×C₂²⋊Q₈	—	53	1	no	—
1146	C₂×C₂²⋊Q₈	—	53	1	no	—
1147	C₂×#121	—	53	1	no	—
1148	C₂×#121	—	53	1	no	—
1149	C₂×C₄×D₄	—	53	1	no	—
1150	C₂×C₄×D₄	—	53	1	no	—
1151	C₂×C₄×D₄	—	53	1	no	—
1152	C₂×C₄×D₄	—	53	1	no	—
1153	C₂×C₄×D₄	—	53	1	no	—
1154	C₂×C₄×D₄	—	53	1	no	—
1155	C₂×#117	—	53	1	no	—
1156	C₂×#117	—	53	1	no	—
1157	C₂²×C₄⋊C₄	—	53	1	no	—
1158	C₂²×C₄⋊C₄	—	53	1	no	—
1159	C₂²×C₄⋊C₄	—	53	1	no	—
1160	C₂²×C₄²	—	53	1	no	—
1161	#391	—	53	1	no	—
1162	#391	—	53	1	no	—
1163	#391	—	53	1	no	—
1164	#391	—	53	1	no	—
1165	#391	—	53	1	no	—
1166	#391	—	53	1	no	—
1167	#391	—	53	1	no	—
1168	#391	—	53	1	no	—
1169	#390	—	53	1	no	—
1170	#390	—	53	1	no	—
1171	#390	—	53	1	no	—
1172	#390	—	53	1	no	—
1173	#389	—	53	1	no	—
1174	#389	—	53	1	no	—
1175	#389	—	53	1	no	—
1176	#389	—	53	1	no	—
1177	#389	—	53	1	no	—
1178	#389	—	53	1	no	—
1179	#388	—	53	1	no	—
1180	#388	—	53	1	no	—
1181	#388	—	53	1	no	—
1182	#388	—	53	1	no	—
1183	#388	—	53	1	no	—
1184	#388	—	53	1	no	—
1185	#388	—	53	1	no	—
1186	#388	—	53	1	no	—
1187	#388	—	53	1	no	—
1188	#388	—	53	1	no	—
1189	#388	—	53	1	no	—
1190	#388	—	53	1	no	—
1191	#388	—	53	1	no	—
1192	#388	—	53	1	no	—
1193	#388	—	53	1	no	—
1194	#388	—	53	1	no	—
1195	#387	—	53	1	no	—
1196	#387	—	53	1	no	—
1197	#387	—	53	1	no	—
1198	#387	—	53	1	no	—
1199	#387	—	53	1	no	—
1200	#387	—	53	1	no	—
1201	#387	—	53	1	no	—
1202	#387	—	53	1	no	—
1203	#387	—	53	1	no	—
1204	#387	—	53	1	no	—
1205	#387	—	53	1	no	—
1206	#387	—	53	1	no	—
1207	#387	—	53	1	no	—
1208	#387	—	53	1	no	—
1209	#387	—	53	1	no	—
1210	#387	—	53	1	no	—
1211	#387	—	53	1	no	—
1212	#387	—	53	1	no	—
1213	#387	—	53	1	no	—
1214	#387	—	53	1	no	—
1215	#387	—	53	1	no	—
1216	#387	—	53	1	no	—
1217	#387	—	53	1	no	—
1218	#387	—	53	1	no	—
1219	#387	—	53	1	no	—
1220	#387	—	53	1	no	—
1221	#387	—	53	1	no	—
1222	#387	—	53	1	no	—
1223	#386	—	53	1	no	—
1224	#386	—	53	1	no	—
1225	#386	—	53	1	no	—
1226	#386	—	53	1	no	—
1227	#386	—	53	1	no	—
1228	#386	—	53	1	no	—
1229	#386	—	53	1	no	—
1230	#386	—	53	1	no	—
1231	#386	—	53	1	no	—
1232	#386	—	53	1	no	—
1233	#386	—	53	1	no	—
1234	#386	—	53	1	no	—
1235	#386	—	53	1	no	—
1236	#386	—	53	1	no	—
1237	#386	—	53	1	no	—
1238	#386	—	53	1	no	—
1239	#385	—	53	1	no	—
1240	#385	—	53	1	no	—
1241	#385	—	53	1	no	—
1242	#385	—	53	1	no	—
1243	#385	—	53	1	no	—
1244	#385	—	53	1	no	—
1245	#385	—	53	1	no	—
1246	#385	—	53	1	no	—
1247	#383	—	53	1	no	—
1248	#383	—	53	1	no	—
1249	#382	—	53	1	no	—
1250	#381	—	53	1	no	—
1251	#381	—	53	1	no	—
1252	#381	—	53	1	no	—
1253	#381	—	53	1	no	—
1254	#381	—	53	1	no	—
1255	#381	—	53	1	no	—
1256	#380	—	53	1	no	—
1257	#380	—	53	1	no	—
1258	#380	—	53	1	no	—
1259	#380	—	53	1	no	—
1260	#380	—	53	1	no	—
1261	#380	—	53	1	no	—
1262	#380	—	53	1	no	—
1263	#380	—	53	1	no	—
1264	C₄×C₄⋊C₄	—	53	1	no	—
1265	C₄×C₄⋊C₄	—	53	1	no	—
1266	C₄×C₄⋊C₄	—	53	1	no	—
1267	C₄×C₄⋊C₄	—	53	1	no	—
1268	C₄×C₄⋊C₄	—	53	1	no	—
1269	C₄×C₄⋊C₄	—	53	1	no	—
1270	C₄×C₂²⋊C₄	—	53	1	no	—
1271	C₄×C₂²⋊C₄	—	53	1	no	—
1272	C₄×C₂²⋊C₄	—	53	1	no	—
1273	C₄×C₂²⋊C₄	—	53	1	no	—
1274	C₄×C₂²⋊C₄	—	53	1	no	—
1275	C₄×C₂²⋊C₄	—	53	1	no	—
1276	C₄×C₂²⋊C₄	—	53	1	no	—
1277	C₄×C₂²⋊C₄	—	53	1	no	—
1278	C₄×C₂²⋊C₄	—	53	1	no	—
1279	C₄×C₂²⋊C₄	—	53	1	no	—
1280	C₄×C₂²⋊C₄	—	53	1	no	—
1281	C₄×C₂²⋊C₄	—	53	1	no	—
1282	C₄×C₂²⋊C₄	—	53	1	no	—
1283	C₄×C₂²⋊C₄	—	53	1	no	—
1284	C₄×C₂²⋊C₄	—	53	1	no	—
1285	C₄×C₂²⋊C₄	—	53	1	no	—
1286	#376	—	53	1	no	—
1287	C₂×#95	—	53	1	no	—
1288	C₂×#95	—	53	1	no	—
1289	C₂×#95	—	53	1	no	—
1290	C₂×#95	—	53	1	no	—
1291	C₂×#95	—	53	1	no	—
1292	C₂×#95	—	53	1	no	—
1293	C₅₃	#34469	1	1	yes	characteristic, complemented, Sylow
1294	C₂×#41	—	53	1	no	—
1295	C₂×#41	—	53	1	no	—
1296	C₂×#41	—	53	1	no	—
1297	C₂×#41	—	53	1	no	—
1298	C₂×#41	—	53	1	no	—
1299	C₂×#41	—	53	1	no	—
1300	C₂×#41	—	53	1	no	—
1301	C₂×#41	—	53	1	no	—
1302	C₂×#41	—	53	1	no	—
1303	C₂×#41	—	53	1	no	—
1304	C₂×#41	—	53	1	no	—
1305	C₂×#41	—	53	1	no	—
1306	C₂×#41	—	53	1	no	—
1307	C₂×#41	—	53	1	no	—
1308	C₂×#41	—	212	2	no	—
1309	C₂×#41	—	212	2	no	—
1310	C₂×#41	—	212	2	no	—
1311	C₂×#41	—	212	2	no	—
1312	C₂×#41	C₂×#6157	1	1	yes	characteristic, complemented
1313	C₂×#41	C₂×#6157	1	1	yes	characteristic, complemented
1314	C₂²×Q₈	—	53	1	no	—
1315	C₂²×Q₈	—	53	1	no	—
1316	C₂²×D₄	—	53	1	no	—
1317	C₂²×D₄	—	53	1	no	—
1318	C₂²×D₄	—	53	1	no	—
1319	C₂²×D₄	—	53	1	no	—
1320	C₂²×D₄	—	53	1	no	—
1321	C₂²×D₄	—	53	1	no	—
1322	C₂³×C₄	—	53	1	no	—
1323	C₂³×C₄	—	53	1	no	—
1324	C₂³×C₄	—	53	1	no	—
1325	C₂³×C₄	—	53	1	no	—
1326	C₂³×C₄	—	53	1	no	—
1327	C₂³×C₄	—	53	1	no	—
1328	C₂³×C₄	—	53	1	no	—
1329	C₂³×C₄	—	53	1	no	—
1330	C₂³×C₄	—	53	1	no	—
1331	C₂³×C₄	—	53	1	no	—
1332	C₂³×C₄	—	53	1	no	—
1333	C₂³×C₄	—	53	1	no	—
1334	C₂³×C₄	—	53	1	no	—
1335	C₂³×C₄	—	53	1	no	—
1336	C₂³×C₄	—	53	1	no	—
1337	C₂³×C₄	—	53	1	no	—
1338	C₄⋊Q₈	—	53	1	no	—
1339	C₄⋊Q₈	—	53	1	no	—
1340	C₄⋊Q₈	—	53	1	no	—
1341	C₄⋊Q₈	—	53	1	no	—
1342	C₄⋊Q₈	—	53	1	no	—
1343	C₄⋊Q₈	—	53	1	no	—
1344	C₄⋊Q₈	—	53	1	no	—
1345	C₄⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1346	#123	—	53	1	no	—
1347	#123	—	53	1	no	—
1348	#123	—	53	1	no	—
1349	#123	—	53	1	no	—
1350	#123	—	53	1	no	—
1351	#123	—	53	1	no	—
1352	#123	—	53	1	no	—
1353	#123	—	53	1	no	—
1354	#123	—	53	1	no	—
1355	#123	—	53	1	no	—
1356	#123	—	53	1	no	—
1357	#123	—	53	1	no	—
1358	#123	—	53	1	no	—
1359	#123	—	53	1	no	—
1360	#123	—	53	1	no	—
1361	#123	—	53	1	no	—
1362	#123	—	53	1	no	—
1363	#123	—	53	1	no	—
1364	#123	—	53	1	no	—
1365	#123	—	53	1	no	—
1366	#123	—	53	1	no	—
1367	#123	—	53	1	no	—
1368	#123	—	53	1	no	—
1369	#123	—	53	1	no	—
1370	#123	—	53	1	no	—
1371	#123	—	53	1	no	—
1372	#123	—	53	1	no	—
1373	#123	—	53	1	no	—
1374	#123	C₂×#6157	1	1	yes	characteristic, complemented
1375	#123	C₂×#6157	1	1	yes	characteristic, complemented
1376	#123	C₂×#6157	1	1	yes	characteristic, complemented
1377	#123	C₂×#6157	1	1	yes	characteristic, complemented
1378	C₂²⋊Q₈	—	53	1	no	—
1379	C₂²⋊Q₈	—	53	1	no	—
1380	C₂²⋊Q₈	—	53	1	no	—
1381	C₂²⋊Q₈	—	53	1	no	—
1382	C₂²⋊Q₈	—	53	1	no	—
1383	C₂²⋊Q₈	—	53	1	no	—
1384	C₂²⋊Q₈	—	53	1	no	—
1385	C₂²⋊Q₈	—	53	1	no	—
1386	C₂²⋊Q₈	—	53	1	no	—
1387	C₂²⋊Q₈	—	53	1	no	—
1388	C₂²⋊Q₈	—	53	1	no	—
1389	C₂²⋊Q₈	—	53	1	no	—
1390	C₂²⋊Q₈	—	53	1	no	—
1391	C₂²⋊Q₈	—	53	1	no	—
1392	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1393	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1394	#121	—	53	1	no	—
1395	#121	—	53	1	no	—
1396	#121	—	53	1	no	—
1397	#121	—	53	1	no	—
1398	#121	—	53	1	no	—
1399	#121	—	53	1	no	—
1400	#121	—	53	1	no	—
1401	#121	—	53	1	no	—
1402	#121	—	53	1	no	—
1403	#121	—	53	1	no	—
1404	#121	—	53	1	no	—
1405	#121	—	53	1	no	—
1406	#121	—	53	1	no	—
1407	#121	—	53	1	no	—
1408	#121	C₂×#6157	1	1	yes	characteristic
1409	#121	C₂×#6157	1	1	yes	characteristic, complemented
1410	C₄×D₄	—	53	1	no	—
1411	C₄×D₄	—	53	1	no	—
1412	C₄×D₄	—	53	1	no	—
1413	C₄×D₄	—	53	1	no	—
1414	C₄×D₄	—	53	1	no	—
1415	C₄×D₄	—	53	1	no	—
1416	C₄×D₄	—	53	1	no	—
1417	C₄×D₄	—	53	1	no	—
1418	C₄×D₄	—	53	1	no	—
1419	C₄×D₄	—	53	1	no	—
1420	C₄×D₄	—	53	1	no	—
1421	C₄×D₄	—	53	1	no	—
1422	C₄×D₄	—	53	1	no	—
1423	C₄×D₄	—	53	1	no	—
1424	C₄×D₄	—	212	2	no	—
1425	C₄×D₄	—	212	2	no	—
1426	C₄×D₄	—	212	2	no	—
1427	C₄×D₄	—	212	2	no	—
1428	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1429	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1430	#117	—	212	2	no	—
1431	#117	—	212	2	no	—
1432	C₂×C₄⋊C₄	—	53	1	no	—
1433	C₂×C₄⋊C₄	—	53	1	no	—
1434	C₂×C₄⋊C₄	—	53	1	no	—
1435	C₂×C₄⋊C₄	—	53	1	no	—
1436	C₂×C₄⋊C₄	—	53	1	no	—
1437	C₂×C₄⋊C₄	—	53	1	no	—
1438	C₂×C₄⋊C₄	—	53	1	no	—
1439	C₂×C₄⋊C₄	—	53	1	no	—
1440	C₂×C₄⋊C₄	—	53	1	no	—
1441	C₂×C₄⋊C₄	—	53	1	no	—
1442	C₂×C₄⋊C₄	—	53	1	no	—
1443	C₂×C₄⋊C₄	—	53	1	no	—
1444	C₂×C₄⋊C₄	—	53	1	no	—
1445	C₂×C₄⋊C₄	—	53	1	no	—
1446	C₂×C₄⋊C₄	—	53	1	no	—
1447	C₂×C₄⋊C₄	—	53	1	no	—
1448	C₂×C₄⋊C₄	—	53	1	no	—
1449	C₂×C₄⋊C₄	—	53	1	no	—
1450	C₂×C₄⋊C₄	—	53	1	no	—
1451	C₂×C₄⋊C₄	—	53	1	no	—
1452	C₂×C₄⋊C₄	—	53	1	no	—
1453	C₂×C₄⋊C₄	—	53	1	no	—
1454	C₂×C₄⋊C₄	—	53	1	no	—
1455	C₂×C₄⋊C₄	—	53	1	no	—
1456	C₂×C₄⋊C₄	—	53	1	no	—
1457	C₂×C₄⋊C₄	—	53	1	no	—
1458	C₂×C₄⋊C₄	—	53	1	no	—
1459	C₂×C₄⋊C₄	—	53	1	no	—
1460	C₂×C₄⋊C₄	—	53	1	no	—
1461	C₂×C₄⋊C₄	—	53	1	no	—
1462	C₂×C₄⋊C₄	—	53	1	no	—
1463	C₂×C₄⋊C₄	—	53	1	no	—
1464	C₂×C₄⋊C₄	—	53	1	no	—
1465	C₂×C₄⋊C₄	—	53	1	no	—
1466	C₂×C₄⋊C₄	—	53	1	no	—
1467	C₂×C₄⋊C₄	—	53	1	no	—
1468	C₂×C₄⋊C₄	—	53	1	no	—
1469	C₂×C₄⋊C₄	—	53	1	no	—
1470	C₂×C₄⋊C₄	—	53	1	no	—
1471	C₂×C₄⋊C₄	—	53	1	no	—
1472	C₂×C₄⋊C₄	—	53	1	no	—
1473	C₂×C₄⋊C₄	—	53	1	no	—
1474	C₂×C₄⋊C₄	—	212	2	no	—
1475	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1476	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1477	C₂×C₂²⋊C₄	—	53	1	no	—
1478	C₂×C₂²⋊C₄	—	53	1	no	—
1479	C₂×C₂²⋊C₄	—	53	1	no	—
1480	C₂×C₂²⋊C₄	—	53	1	no	—
1481	C₂×C₂²⋊C₄	—	53	1	no	—
1482	C₂×C₂²⋊C₄	—	53	1	no	—
1483	C₂×C₂²⋊C₄	—	53	1	no	—
1484	C₂×C₂²⋊C₄	—	53	1	no	—
1485	C₂×C₂²⋊C₄	—	53	1	no	—
1486	C₂×C₂²⋊C₄	—	53	1	no	—
1487	C₂×C₂²⋊C₄	—	53	1	no	—
1488	C₂×C₂²⋊C₄	—	53	1	no	—
1489	C₂×C₂²⋊C₄	—	53	1	no	—
1490	C₂×C₂²⋊C₄	—	53	1	no	—
1491	C₂×C₂²⋊C₄	—	53	1	no	—
1492	C₂×C₂²⋊C₄	—	53	1	no	—
1493	C₂×C₂²⋊C₄	—	53	1	no	—
1494	C₂×C₂²⋊C₄	—	53	1	no	—
1495	C₂×C₂²⋊C₄	—	53	1	no	—
1496	C₂×C₂²⋊C₄	—	53	1	no	—
1497	C₂×C₂²⋊C₄	—	53	1	no	—
1498	C₂×C₂²⋊C₄	—	53	1	no	—
1499	C₂×C₂²⋊C₄	—	53	1	no	—
1500	C₂×C₂²⋊C₄	—	53	1	no	—
1501	C₂×C₂²⋊C₄	—	53	1	no	—
1502	C₂×C₂²⋊C₄	—	53	1	no	—
1503	C₂×C₂²⋊C₄	—	53	1	no	—
1504	C₂×C₂²⋊C₄	—	53	1	no	—
1505	C₂×C₂²⋊C₄	—	53	1	no	—
1506	C₂×C₂²⋊C₄	—	53	1	no	—
1507	C₂×C₂²⋊C₄	—	53	1	no	—
1508	C₂×C₂²⋊C₄	—	53	1	no	—
1509	C₂×C₄²	—	53	1	no	—
1510	C₂×C₄²	—	53	1	no	—
1511	C₂×C₄²	—	53	1	no	—
1512	C₂×C₄²	—	53	1	no	—
1513	C₂×C₄²	—	53	1	no	—
1514	C₂×C₄²	—	53	1	no	—
1515	C₂×C₄²	—	53	1	no	—
1516	C₂×C₄²	—	53	1	no	—
1517	C₂×C₄²	—	53	1	no	—
1518	C₂×C₄²	—	53	1	no	—
1519	C₂×C₄²	—	53	1	no	—
1520	C₂×C₄²	—	53	1	no	—
1521	C₂×C₄²	—	53	1	no	—
1522	C₂×C₄²	—	53	1	no	—
1523	C₂×C₄²	—	53	1	no	—
1524	C₂×C₄²	—	53	1	no	—
1525	C₂×C₄²	—	53	1	no	—
1526	C₂×C₄²	—	53	1	no	—
1527	C₂×C₄²	—	53	1	no	—
1528	C₂×C₄²	—	212	2	no	—
1529	#95	—	53	1	no	—
1530	#95	—	53	1	no	—
1531	#95	—	53	1	no	—
1532	#95	—	53	1	no	—
1533	#95	—	53	1	no	—
1534	#95	—	53	1	no	—
1535	#95	—	53	1	no	—
1536	#95	—	53	1	no	—
1537	#95	—	53	1	no	—
1538	#95	—	53	1	no	—
1539	#95	—	53	1	no	—
1540	#95	—	53	1	no	—
1541	#95	—	53	1	no	—
1542	#95	—	53	1	no	—
1543	#95	—	53	1	no	—
1544	#95	—	53	1	no	—
1545	#95	—	53	1	no	—
1546	#95	—	53	1	no	—
1547	#95	—	53	1	no	—
1548	#95	—	53	1	no	—
1549	#95	—	53	1	no	—
1550	#95	—	53	1	no	—
1551	#95	—	53	1	no	—
1552	#95	—	53	1	no	—
1553	#95	—	53	1	no	—
1554	#95	—	53	1	no	—
1555	#95	—	53	1	no	—
1556	#95	—	53	1	no	—
1557	#95	—	53	1	no	—
1558	#95	—	53	1	no	—
1559	#95	—	53	1	no	—
1560	#95	—	53	1	no	—
1561	#95	—	53	1	no	—
1562	#95	—	53	1	no	—
1563	#95	—	53	1	no	—
1564	#95	—	53	1	no	—
1565	#95	—	53	1	no	—
1566	#95	—	53	1	no	—
1567	#95	—	53	1	no	—
1568	#95	—	53	1	no	—
1569	#95	—	53	1	no	—
1570	#95	—	53	1	no	—
1571	#95	—	53	1	no	—
1572	#95	—	53	1	no	—
1573	#95	—	53	1	no	—
1574	#95	—	53	1	no	—
1575	#95	—	53	1	no	—
1576	#95	—	53	1	no	—
1577	#95	—	53	1	no	—
1578	#95	—	53	1	no	—
1579	#95	—	53	1	no	—
1580	#95	—	53	1	no	—
1581	C₂⁴	—	53	1	no	—
1582	C₂⁴	—	53	1	no	—
1583	C₂⁴	—	53	1	no	—
1584	C₂⁴	—	53	1	no	—
1585	#41	—	4	2	no	—
1586	#41	—	4	2	no	—
1587	#41	—	212	2	no	—
1588	#41	—	212	2	no	—
1589	#41	—	212	2	no	—
1590	#41	—	212	2	no	—
1591	#41	—	212	2	no	—
1592	#41	—	212	2	no	—
1593	#41	—	212	2	no	—
1594	#41	—	212	2	no	—
1595	#41	—	212	2	no	—
1596	#41	—	212	2	no	—
1597	#41	—	212	2	no	—
1598	#41	—	212	2	no	—
1599	#41	—	212	2	no	—
1600	#41	—	212	2	no	—
1601	C₂×Q₈	—	53	1	no	—
1602	C₂×Q₈	—	53	1	no	—
1603	C₂×Q₈	—	53	1	no	—
1604	C₂×Q₈	—	53	1	no	—
1605	C₂×Q₈	—	53	1	no	—
1606	C₂×Q₈	—	53	1	no	—
1607	C₂×Q₈	—	212	1	no	—
1608	C₂×Q₈	—	212	1	no	—
1609	C₂×Q₈	—	212	1	no	—
1610	C₂×Q₈	—	212	1	no	—
1611	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1612	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1613	C₂×D₄	—	53	1	no	—
1614	C₂×D₄	—	53	1	no	—
1615	C₂×D₄	—	53	1	no	—
1616	C₂×D₄	—	53	1	no	—
1617	C₂×D₄	—	53	1	no	—
1618	C₂×D₄	—	53	1	no	—
1619	C₂×D₄	—	53	1	no	—
1620	C₂×D₄	—	53	1	no	—
1621	C₂×D₄	—	53	1	no	—
1622	C₂×D₄	—	53	1	no	—
1623	C₂×D₄	—	53	1	no	—
1624	C₂×D₄	—	53	1	no	—
1625	C₂×D₄	—	53	1	no	—
1626	C₂×D₄	—	53	1	no	—
1627	C₂×D₄	—	53	1	no	—
1628	C₂×D₄	—	53	1	no	—
1629	C₂×D₄	—	53	1	no	—
1630	C₂×D₄	—	53	1	no	—
1631	C₂×D₄	—	106	2	no	—
1632	C₂×D₄	—	106	2	no	—
1633	C₂×D₄	—	106	2	no	—
1634	C₂×D₄	—	106	2	no	—
1635	C₂×D₄	—	106	2	no	—
1636	C₂×D₄	—	106	2	no	—
1637	C₂×D₄	—	212	1	no	—
1638	C₂×D₄	—	212	1	no	—
1639	C₂×D₄	—	212	1	no	—
1640	C₂×D₄	—	212	1	no	—
1641	C₂×D₄	—	212	1	no	—
1642	C₂×D₄	—	212	1	no	—
1643	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1644	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1645	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1646	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1647	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1648	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1649	C₂²×C₄	—	53	1	no	—
1650	C₂²×C₄	—	53	1	no	—
1651	C₂²×C₄	—	53	1	no	—
1652	C₂²×C₄	—	53	1	no	—
1653	C₂²×C₄	—	53	1	no	—
1654	C₂²×C₄	—	53	1	no	—
1655	C₂²×C₄	—	53	1	no	—
1656	C₂²×C₄	—	53	1	no	—
1657	C₂²×C₄	—	53	1	no	—
1658	C₂²×C₄	—	53	1	no	—
1659	C₂²×C₄	—	53	1	no	—
1660	C₂²×C₄	—	53	1	no	—
1661	C₂²×C₄	—	53	1	no	—
1662	C₂²×C₄	—	53	1	no	—
1663	C₂²×C₄	—	53	1	no	—
1664	C₂²×C₄	—	53	1	no	—
1665	C₂²×C₄	—	53	1	no	—
1666	C₂²×C₄	—	53	1	no	—
1667	C₂²×C₄	—	53	1	no	—
1668	C₂²×C₄	—	53	1	no	—
1669	C₂²×C₄	—	53	1	no	—
1670	C₂²×C₄	—	53	1	no	—
1671	C₂²×C₄	—	53	1	no	—
1672	C₂²×C₄	—	53	1	no	—
1673	C₂²×C₄	—	53	1	no	—
1674	C₂²×C₄	—	53	1	no	—
1675	C₂²×C₄	—	53	1	no	—
1676	C₂²×C₄	—	53	1	no	—
1677	C₂²×C₄	—	53	1	no	—
1678	C₂²×C₄	—	53	1	no	—
1679	C₂²×C₄	—	53	1	no	—
1680	C₂²×C₄	—	53	1	no	—
1681	C₂²×C₄	—	53	1	no	—
1682	C₂²×C₄	—	53	1	no	—
1683	C₂²×C₄	—	53	1	no	—
1684	C₂²×C₄	—	53	1	no	—
1685	C₂²×C₄	—	53	1	no	—
1686	C₂²×C₄	—	53	1	no	—
1687	C₂²×C₄	—	53	1	no	—
1688	C₂²×C₄	—	53	1	no	—
1689	C₂²×C₄	—	53	1	no	—
1690	C₂²×C₄	—	53	1	no	—
1691	C₂²×C₄	—	53	1	no	—
1692	C₂²×C₄	—	53	1	no	—
1693	C₂²×C₄	—	53	1	no	—
1694	C₂²×C₄	—	53	1	no	—
1695	C₂²×C₄	—	53	1	no	—
1696	C₂²×C₄	—	53	1	no	—
1697	C₂²×C₄	—	53	1	no	—
1698	C₂²×C₄	—	53	1	no	—
1699	C₂²×C₄	—	53	1	no	—
1700	C₂²×C₄	—	106	2	no	—
1701	C₂²×C₄	—	106	2	no	—
1702	C₂²×C₄	—	106	2	no	—
1703	C₂²×C₄	—	106	2	no	—
1704	C₂²×C₄	—	106	2	no	—
1705	C₂²×C₄	—	106	2	no	—
1706	C₂²×C₄	—	106	2	no	—
1707	C₂²×C₄	—	106	2	no	—
1708	C₂²×C₄	—	106	2	no	—
1709	C₂²×C₄	—	106	2	no	—
1710	C₂²×C₄	—	212	1	no	—
1711	C₂²×C₄	—	212	1	no	—
1712	C₂²×C₄	—	212	1	no	—
1713	C₂²×C₄	—	212	1	no	—
1714	C₂²×C₄	—	212	1	no	—
1715	C₂²×C₄	—	212	1	no	—
1716	C₂²×C₄	—	212	1	no	—
1717	C₂²×C₄	—	212	1	no	—
1718	C₂²×C₄	—	212	1	no	—
1719	C₂²×C₄	—	212	1	no	—
1720	C₂²×C₄	—	212	1	no	—
1721	C₂²×C₄	—	212	1	no	—
1722	C₂²×C₄	—	212	1	no	—
1723	C₂²×C₄	—	212	1	no	—
1724	C₂²×C₄	—	212	1	no	—
1725	C₂²×C₄	—	212	1	no	—
1726	C₂²×C₄	—	212	1	no	—
1727	C₂²×C₄	—	212	1	no	—
1728	C₂²×C₄	—	212	1	no	—
1729	C₂²×C₄	—	212	1	no	—
1730	C₂²×C₄	—	212	1	no	—
1731	C₂²×C₄	—	212	1	no	—
1732	C₂²×C₄	—	212	1	no	—
1733	C₂²×C₄	—	212	1	no	—
1734	C₂²×C₄	—	212	1	no	—
1735	C₂²×C₄	—	212	1	no	—
1736	C₂²×C₄	—	212	1	no	—
1737	C₂²×C₄	—	212	1	no	—
1738	C₂²×C₄	—	212	1	no	—
1739	C₂²×C₄	—	212	1	no	—
1740	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1741	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1742	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1743	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1744	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1745	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1746	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1747	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1748	C₄⋊C₄	—	53	1	no	—
1749	C₄⋊C₄	—	53	1	no	—
1750	C₄⋊C₄	—	53	1	no	—
1751	C₄⋊C₄	—	53	1	no	—
1752	C₄⋊C₄	—	53	1	no	—
1753	C₄⋊C₄	—	53	1	no	—
1754	C₄⋊C₄	—	53	1	no	—
1755	C₄⋊C₄	—	53	1	no	—
1756	C₄⋊C₄	—	53	1	no	—
1757	C₄⋊C₄	—	53	1	no	—
1758	C₄⋊C₄	—	53	1	no	—
1759	C₄⋊C₄	—	53	1	no	—
1760	C₄⋊C₄	—	53	1	no	—
1761	C₄⋊C₄	—	53	1	no	—
1762	C₄⋊C₄	—	53	1	no	—
1763	C₄⋊C₄	—	53	1	no	—
1764	C₄⋊C₄	—	53	1	no	—
1765	C₄⋊C₄	—	53	1	no	—
1766	C₄⋊C₄	—	53	1	no	—
1767	C₄⋊C₄	—	53	1	no	—
1768	C₄⋊C₄	—	53	1	no	—
1769	C₄⋊C₄	—	53	1	no	—
1770	C₄⋊C₄	—	53	1	no	—
1771	C₄⋊C₄	—	53	1	no	—
1772	C₄⋊C₄	—	53	1	no	—
1773	C₄⋊C₄	—	53	1	no	—
1774	C₄⋊C₄	—	53	1	no	—
1775	C₄⋊C₄	—	53	1	no	—
1776	C₄⋊C₄	—	53	1	no	—
1777	C₄⋊C₄	—	53	1	no	—
1778	C₄⋊C₄	—	212	1	no	—
1779	C₄⋊C₄	—	212	1	no	—
1780	C₄⋊C₄	—	212	1	no	—
1781	C₄⋊C₄	—	212	1	no	—
1782	C₄⋊C₄	—	212	1	no	—
1783	C₄⋊C₄	—	212	1	no	—
1784	C₄⋊C₄	—	212	1	no	—
1785	C₄⋊C₄	—	212	1	no	—
1786	C₄⋊C₄	—	212	1	no	—
1787	C₄⋊C₄	—	212	1	no	—
1788	C₄⋊C₄	—	212	1	no	—
1789	C₄⋊C₄	—	212	1	no	—
1790	C₄⋊C₄	—	212	1	no	—
1791	C₄⋊C₄	—	212	1	no	—
1792	C₄⋊C₄	—	212	1	no	—
1793	C₄⋊C₄	—	212	1	no	—
1794	C₄⋊C₄	—	212	1	no	—
1795	C₄⋊C₄	—	212	1	no	—
1796	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1797	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1798	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1799	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1800	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1801	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1802	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1803	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1804	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1805	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1806	C₂²⋊C₄	—	53	1	no	—
1807	C₂²⋊C₄	—	53	1	no	—
1808	C₂²⋊C₄	—	53	1	no	—
1809	C₂²⋊C₄	—	53	1	no	—
1810	C₂²⋊C₄	—	53	1	no	—
1811	C₂²⋊C₄	—	53	1	no	—
1812	C₂²⋊C₄	—	53	1	no	—
1813	C₂²⋊C₄	—	53	1	no	—
1814	C₂²⋊C₄	—	53	1	no	—
1815	C₂²⋊C₄	—	53	1	no	—
1816	C₂²⋊C₄	—	53	1	no	—
1817	C₂²⋊C₄	—	53	1	no	—
1818	C₂²⋊C₄	—	53	1	no	—
1819	C₂²⋊C₄	—	53	1	no	—
1820	C₂²⋊C₄	—	53	1	no	—
1821	C₂²⋊C₄	—	53	1	no	—
1822	C₂²⋊C₄	—	53	1	no	—
1823	C₂²⋊C₄	—	53	1	no	—
1824	C₂²⋊C₄	—	53	1	no	—
1825	C₂²⋊C₄	—	53	1	no	—
1826	C₂²⋊C₄	—	53	1	no	—
1827	C₂²⋊C₄	—	53	1	no	—
1828	C₂²⋊C₄	—	53	1	no	—
1829	C₂²⋊C₄	—	53	1	no	—
1830	C₂²⋊C₄	—	106	2	no	—
1831	C₂²⋊C₄	—	106	2	no	—
1832	C₂²⋊C₄	—	106	2	no	—
1833	C₂²⋊C₄	—	106	2	no	—
1834	C₂²⋊C₄	—	106	2	no	—
1835	C₂²⋊C₄	—	106	2	no	—
1836	C₂²⋊C₄	—	212	1	no	—
1837	C₂²⋊C₄	—	212	1	no	—
1838	C₂²⋊C₄	—	212	1	no	—
1839	C₂²⋊C₄	—	212	1	no	—
1840	C₂²⋊C₄	—	212	1	no	—
1841	C₂²⋊C₄	—	212	1	no	—
1842	C₂²⋊C₄	—	212	1	no	—
1843	C₂²⋊C₄	—	212	1	no	—
1844	C₂²⋊C₄	—	212	1	no	—
1845	C₂²⋊C₄	—	212	1	no	—
1846	C₂²⋊C₄	—	212	1	no	—
1847	C₂²⋊C₄	—	212	1	no	—
1848	C₂²⋊C₄	—	212	1	no	—
1849	C₂²⋊C₄	—	212	1	no	—
1850	C₂²⋊C₄	—	212	1	no	—
1851	C₂²⋊C₄	—	212	1	no	—
1852	C₂²⋊C₄	—	212	1	no	—
1853	C₂²⋊C₄	—	212	1	no	—
1854	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1855	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1856	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1857	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1858	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1859	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1860	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1861	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1862	C₄²	—	53	1	no	—
1863	C₄²	—	53	1	no	—
1864	C₄²	—	53	1	no	—
1865	C₄²	—	106	2	no	—
1866	C₄²	—	212	1	no	—
1867	C₄²	—	212	1	no	—
1868	C₄²	—	212	1	no	—
1869	C₄²	—	212	1	no	—
1870	C₄²	—	212	1	no	—
1871	C₄²	—	212	1	no	—
1872	C₄²	—	212	1	no	—
1873	C₄²	—	212	1	no	—
1874	C₄²	—	212	1	no	—
1875	C₄²	—	212	1	no	—
1876	C₄²	—	212	1	no	—
1877	C₄²	—	212	1	no	—
1878	C₄²	—	212	1	no	—
1879	C₄²	—	212	1	no	—
1880	C₄²	—	212	1	no	—
1881	C₄²	—	212	1	no	—
1882	C₄²	—	212	1	no	—
1883	C₄²	C₂²×#6157	1	1	yes	characteristic
1884	C₂³	—	53	1	no	—
1885	C₂³	—	53	2	no	—
1886	C₂³	—	53	2	no	—
1887	C₂³	—	53	1	no	—
1888	C₂³	—	53	1	no	—
1889	C₂³	—	53	1	no	—
1890	C₂³	—	53	1	no	—
1891	C₂³	—	106	1	no	—
1892	C₂³	—	106	1	no	—
1893	C₂³	—	106	1	no	—
1894	C₂³	—	106	1	no	—
1895	C₂³	—	106	1	no	—
1896	C₂³	—	106	1	no	—
1897	C₂³	—	106	1	no	—
1898	C₂³	—	106	1	no	—
1899	C₂³	—	106	1	no	—
1900	C₂³	—	106	1	no	—
1901	C₂³	—	106	1	no	—
1902	C₂³	—	106	1	no	—
1903	C₂³	—	106	1	no	—
1904	C₂³	—	106	1	no	—
1905	C₂³	—	106	1	no	—
1906	C₂³	—	106	1	no	—
1907	C₂³	—	106	1	no	—
1908	C₂³	—	106	1	no	—
1909	C₂³	—	106	1	no	—
1910	C₂³	—	106	1	no	—
1911	C₂³	—	106	1	no	—
1912	C₂³	—	106	1	no	—
1913	C₂³	C₂³×#6157	1	1	yes	characteristic
1914	C₂³	C₂³×#6157	1	1	yes	characteristic
1915	C₂³	C₂³×#6157	1	1	yes	characteristic
1916	C₂³	C₂³×#6157	1	1	yes	characteristic
1917	Q₈	—	4	1	no	—
1918	Q₈	—	4	1	no	—
1919	Q₈	—	212	1	no	—
1920	Q₈	—	212	1	no	—
1921	Q₈	—	212	1	no	—
1922	Q₈	—	212	1	no	—
1923	Q₈	—	212	1	no	—
1924	Q₈	—	212	1	no	—
1925	D₄	—	2	2	no	—
1926	D₄	—	2	2	no	—
1927	D₄	—	2	2	no	—
1928	D₄	—	4	1	no	—
1929	D₄	—	4	1	no	—
1930	D₄	—	4	1	no	—
1931	D₄	—	106	2	no	—
1932	D₄	—	106	2	no	—
1933	D₄	—	106	2	no	—
1934	D₄	—	106	2	no	—
1935	D₄	—	106	2	no	—
1936	D₄	—	106	2	no	—
1937	D₄	—	106	2	no	—
1938	D₄	—	106	2	no	—
1939	D₄	—	106	2	no	—
1940	D₄	—	212	1	no	—
1941	D₄	—	212	1	no	—
1942	D₄	—	212	1	no	—
1943	D₄	—	212	1	no	—
1944	D₄	—	212	1	no	—
1945	D₄	—	212	1	no	—
1946	D₄	—	212	1	no	—
1947	D₄	—	212	1	no	—
1948	D₄	—	212	1	no	—
1949	C₂×C₄	—	2	2	no	—
1950	C₂×C₄	—	2	2	no	—
1951	C₂×C₄	—	4	1	no	—
1952	C₂×C₄	—	4	1	no	—
1953	C₂×C₄	—	4	1	no	—
1954	C₂×C₄	—	4	1	no	—
1955	C₂×C₄	—	4	1	no	—
1956	C₂×C₄	—	4	1	no	—
1957	C₂×C₄	—	53	2	no	—
1958	C₂×C₄	—	53	1	no	—
1959	C₂×C₄	—	53	1	no	—
1960	C₂×C₄	—	53	1	no	—
1961	C₂×C₄	—	53	1	no	—
1962	C₂×C₄	—	53	1	no	—
1963	C₂×C₄	—	53	1	no	—
1964	C₂×C₄	—	53	1	no	—
1965	C₂×C₄	—	53	1	no	—
1966	C₂×C₄	—	53	1	no	—
1967	C₂×C₄	—	53	1	no	—
1968	C₂×C₄	—	53	1	no	—
1969	C₂×C₄	—	106	1	no	—
1970	C₂×C₄	—	106	1	no	—
1971	C₂×C₄	—	106	1	no	—
1972	C₂×C₄	—	106	1	no	—
1973	C₂×C₄	—	106	1	no	—
1974	C₂×C₄	—	106	1	no	—
1975	C₂×C₄	—	106	1	no	—
1976	C₂×C₄	—	106	1	no	—
1977	C₂×C₄	—	106	1	no	—
1978	C₂×C₄	—	106	1	no	—
1979	C₂×C₄	—	106	1	no	—
1980	C₂×C₄	—	106	1	no	—
1981	C₂×C₄	—	106	1	no	—
1982	C₂×C₄	—	106	1	no	—
1983	C₂×C₄	—	106	1	no	—
1984	C₂×C₄	—	106	1	no	—
1985	C₂×C₄	—	106	1	no	—
1986	C₂×C₄	—	106	1	no	—
1987	C₂×C₄	—	106	2	no	—
1988	C₂×C₄	—	106	2	no	—
1989	C₂×C₄	—	106	2	no	—
1990	C₂×C₄	—	106	2	no	—
1991	C₂×C₄	—	106	1	no	—
1992	C₂×C₄	—	106	1	no	—
1993	C₂×C₄	—	106	1	no	—
1994	C₂×C₄	—	106	1	no	—
1995	C₂×C₄	—	106	1	no	—
1996	C₂×C₄	—	106	1	no	—
1997	C₂×C₄	—	106	2	no	—
1998	C₂×C₄	—	106	2	no	—
1999	C₂×C₄	—	106	1	no	—
2000	C₂×C₄	—	106	1	no	—
2001	C₂×C₄	—	106	1	no	—
2002	C₂×C₄	—	106	1	no	—
2003	C₂×C₄	—	106	1	no	—
2004	C₂×C₄	—	106	1	no	—
2005	C₂×C₄	—	106	1	no	—
2006	C₂×C₄	—	106	1	no	—
2007	C₂×C₄	—	106	1	no	—
2008	C₂×C₄	—	106	1	no	—
2009	C₂×C₄	—	106	1	no	—
2010	C₂×C₄	—	106	1	no	—
2011	C₂×C₄	—	106	1	no	—
2012	C₂×C₄	—	106	1	no	—
2013	C₂×C₄	—	106	1	no	—
2014	C₂×C₄	—	106	1	no	—
2015	C₂×C₄	—	106	1	no	—
2016	C₂×C₄	—	106	1	no	—
2017	C₂×C₄	—	106	1	no	—
2018	C₂×C₄	—	106	1	no	—
2019	C₂×C₄	—	106	1	no	—
2020	C₂×C₄	—	106	1	no	—
2021	C₂×C₄	—	106	1	no	—
2022	C₂×C₄	—	106	1	no	—
2023	C₂×C₄	—	106	1	no	—
2024	C₂×C₄	—	106	1	no	—
2025	C₂×C₄	—	106	1	no	—
2026	C₂×C₄	—	106	1	no	—
2027	C₂×C₄	—	106	1	no	—
2028	C₂×C₄	—	106	1	no	—
2029	C₂×C₄	—	106	1	no	—
2030	C₂×C₄	—	106	1	no	—
2031	C₂×C₄	—	106	1	no	—
2032	C₂×C₄	—	106	1	no	—
2033	C₂×C₄	—	106	1	no	—
2034	C₂×C₄	—	106	1	no	—
2035	C₂×C₄	—	106	1	no	—
2036	C₂×C₄	—	106	1	no	—
2037	C₂×C₄	—	106	1	no	—
2038	C₂×C₄	—	106	1	no	—
2039	C₂×C₄	—	106	1	no	—
2040	C₂×C₄	—	106	1	no	—
2041	C₂×C₄	—	106	1	no	—
2042	C₂×C₄	—	106	1	no	—
2043	C₂×C₄	—	106	1	no	—
2044	C₂×C₄	—	424	2	no	—
2045	C₂×C₄	—	424	2	no	—
2046	C₂×C₄	—	424	2	no	—
2047	C₂×C₄	—	424	2	no	—
2048	C₂×C₄	—	424	2	no	—
2049	C₂×C₄	—	424	2	no	—
2050	C₂×C₄	—	212	1	no	—
2051	C₂×C₄	—	212	1	no	—
2052	C₂×C₄	—	212	1	no	—
2053	C₂×C₄	—	212	1	no	—
2054	C₂×C₄	—	212	1	no	—
2055	C₂×C₄	—	212	1	no	—
2056	C₂×C₄	—	212	1	no	—
2057	C₂×C₄	—	212	1	no	—
2058	C₂×C₄	—	212	1	no	—
2059	C₂×C₄	—	212	1	no	—
2060	C₂×C₄	—	212	1	no	—
2061	C₂×C₄	—	212	1	no	—
2062	C₂×C₄	—	212	1	no	—
2063	C₂×C₄	—	212	1	no	—
2064	C₂×C₄	—	212	1	no	—
2065	C₂×C₄	—	212	1	no	—
2066	C₂×C₄	—	212	1	no	—
2067	C₂×C₄	—	212	1	no	—
2068	C₂×C₄	—	212	4	no	—
2069	C₂×C₄	—	212	4	no	—
2070	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2071	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2072	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2073	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2074	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2075	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2076	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2077	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2078	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2079	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2080	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2081	C₂²	—	2	1	no	—
2082	C₂²	—	2	1	no	—
2083	C₂²	—	2	1	no	—
2084	C₂²	—	2	1	no	—
2085	C₂²	—	2	1	no	—
2086	C₂²	—	2	1	no	—
2087	C₂²	—	2	1	no	—
2088	C₂²	—	2	1	no	—
2089	C₂²	—	2	1	no	—
2090	C₂²	—	2	1	no	—
2091	C₂²	—	2	1	no	—
2092	C₂²	—	53	1	no	—
2093	C₂²	—	53	1	no	—
2094	C₂²	—	53	1	no	—
2095	C₂²	—	53	1	no	—
2096	C₂²	—	53	1	no	—
2097	C₂²	—	53	1	no	—
2098	C₂²	—	53	2	no	—
2099	C₂²	—	106	2	no	—
2100	C₂²	—	106	2	no	—
2101	C₂²	—	106	2	no	—
2102	C₂²	—	106	2	no	—
2103	C₂²	—	106	1	no	—
2104	C₂²	—	106	1	no	—
2105	C₂²	—	106	1	no	—
2106	C₂²	—	106	1	no	—
2107	C₂²	—	106	1	no	—
2108	C₂²	—	106	1	no	—
2109	C₂²	—	106	1	no	—
2110	C₂²	—	106	1	no	—
2111	C₂²	—	106	1	no	—
2112	C₂²	—	106	1	no	—
2113	C₂²	—	106	1	no	—
2114	C₂²	—	212	1	no	—
2115	C₂²	—	212	1	no	—
2116	C₂²	—	212	1	no	—
2117	C₂²	—	212	1	no	—
2118	C₂²	—	212	1	no	—
2119	C₂²	—	212	1	no	—
2120	C₂²	—	212	1	no	—
2121	C₂²	—	212	1	no	—
2122	C₂²	—	212	1	no	—
2123	C₂²	—	212	1	no	—
2124	C₂²	—	212	1	no	—
2125	C₂²	—	212	1	no	—
2126	C₂²	#16811690	1	2	yes	—
2127	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2128	C₄	—	2	1	no	—
2129	C₄	—	2	1	no	—
2130	C₄	—	2	1	no	—
2131	C₄	—	2	1	no	—
2132	C₄	—	2	1	no	—
2133	C₄	—	2	1	no	—
2134	C₄	—	2	1	no	—
2135	C₄	—	2	1	no	—
2136	C₄	—	2	1	no	—
2137	C₄	—	2	1	no	—
2138	C₄	—	2	1	no	—
2139	C₄	—	106	2	no	—
2140	C₄	—	106	1	no	—
2141	C₄	—	106	1	no	—
2142	C₄	—	106	1	no	—
2143	C₄	—	106	1	no	—
2144	C₄	—	106	1	no	—
2145	C₄	—	106	1	no	—
2146	C₄	—	106	1	no	—
2147	C₄	—	106	1	no	—
2148	C₄	—	106	1	no	—
2149	C₄	—	106	1	no	—
2150	C₄	—	106	1	no	—
2151	C₄	—	212	1	no	—
2152	C₄	—	212	1	no	—
2153	C₄	—	212	1	no	—
2154	C₄	—	212	1	no	—
2155	C₄	—	212	1	no	—
2156	C₄	—	212	1	no	—
2157	C₄	—	212	1	no	—
2158	C₄	—	212	1	no	—
2159	C₄	—	212	1	no	—
2160	C₄	—	212	1	no	—
2161	C₄	—	212	1	no	—
2162	C₄	—	212	1	no	—
2163	C₄	—	212	1	no	—
2164	C₄	—	212	1	no	—
2165	C₄	—	212	1	no	—
2166	C₂	—	2	2	no	—
2167	C₂	—	4	1	no	—
2168	C₂	—	4	1	no	—
2169	C₂	—	4	1	no	—
2170	C₂	—	53	1	no	—
2171	C₂	—	53	1	no	—
2172	C₂	—	53	1	no	—
2173	C₂	—	53	1	no	—
2174	C₂	—	106	2	no	—
2175	C₂	—	212	1	no	—
2176	C₂	—	212	1	no	—
2177	C₂	—	212	1	no	—
2178	C₂	C₂×#16811690	1	1	yes	characteristic
2179	C₂	#20291695	1	1	yes	characteristic
2180	C₂	2₋¹⁺⁴×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#547	C₄
prime radical	#547×D₅₃	C₂
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#547	#6157
hypocenter	C₅₃	#34469
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #547

Complements

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

N	H ≅ G/N	type
1. #20291260	C₂	semidirect
2. #20291257	C₂	semidirect
3. #20291256	C₂	semidirect
4. #20291255	C₂	semidirect
5. #20291253	C₂	semidirect
6. #20291247	C₂	semidirect
7. #20291243	C₂	semidirect
8. #20291238	C₂	semidirect
9. #20291238	C₂	semidirect
10. #20291232	C₂	semidirect
11. #20291232	C₂	semidirect
12. #20291224	C₂	semidirect
13. #20291223	C₂	semidirect
14. #20291218	C₂	semidirect
15. #20291218	C₂	semidirect
16. #20291214	C₂	semidirect
17. #20291214	C₂	semidirect
18. #20291212	C₂	semidirect
19. #20291211	C₂	semidirect
20. #20291210	C₂	semidirect
21. #20291208	C₂	semidirect
22. #20291204	C₂	semidirect
23. #20291201	C₂	semidirect
24. #20291197	C₂	semidirect
25. #20291197	C₂	semidirect
26. #20291192	C₂	semidirect
27. #20291190	C₂	semidirect
28. #123×#6157	C₂	semidirect
29. #20291176	C₂	semidirect
30. C₂×#16811572	C₂	semidirect
174. #16811278	C₄	semidirect
175. #16811277	C₄	semidirect
176. #16811276	C₄	semidirect
177. #16811275	C₄	semidirect
178. #16811275	C₄	semidirect
179. #16811274	C₄	semidirect
180. #16811274	C₄	semidirect
181. #16811273	C₄	semidirect
182. #16811273	C₄	semidirect
183. #16811272	C₄	semidirect
184. #16811272	C₄	semidirect
185. #16811271	C₄	semidirect
186. #16811271	C₄	semidirect
187. #16811271	C₄	semidirect
188. #16811271	C₄	semidirect
202. C₅₃×#547	C₄	semidirect
331. C₂×#11719949	C₂×C₄	semidirect
332. C₂×#11719949	C₂×C₄	semidirect
333. C₂×#11719945	C₂×C₄	semidirect
334. C₂×#11719945	C₂×C₄	semidirect
335. C₂×#11719945	C₂×C₄	semidirect
336. C₂×#11719945	C₂×C₄	semidirect
337. C₂×#11719945	C₂×C₄	semidirect
338. C₂×#11719945	C₂×C₄	semidirect
339. C₂×#11719947	C₂×C₄	semidirect
340. C₂×#11719947	C₂×C₄	semidirect
341. C₂×#11719947	C₂×C₄	semidirect
342. C₂×#11719947	C₂×C₄	semidirect
343. C₂×#11719947	C₂×C₄	semidirect
344. C₂×#11719947	C₂×C₄	semidirect
365. #13133217	C₂×C₄	semidirect
366. #13133216	C₂×C₄	semidirect
367. #13133216	C₂×C₄	semidirect
368. #13133216	C₂×C₄	semidirect
369. #13133216	C₂×C₄	semidirect
370. #13133215	C₂×C₄	semidirect
371. #13133215	C₂×C₄	semidirect
372. #13133202	C₂×C₄	semidirect
373. #13133202	C₂×C₄	semidirect
374. #13133202	C₂×C₄	semidirect
375. #13133202	C₂×C₄	semidirect
376. #13133202	C₂×C₄	semidirect
377. #13133202	C₂×C₄	semidirect
378. #13133202	C₂×C₄	semidirect
379. #13133202	C₂×C₄	semidirect
380. #13133201	C₂×C₄	semidirect
381. #13133201	C₂×C₄	semidirect
382. #13133201	C₂×C₄	semidirect
383. #13133201	C₂×C₄	semidirect
384. #13133200	C₂×C₄	semidirect
385. #13133200	C₂×C₄	semidirect
386. #13133200	C₂×C₄	semidirect
387. #13133200	C₂×C₄	semidirect
388. #13133199	C₂×C₄	semidirect
389. #13133199	C₂×C₄	semidirect
390. #13133199	C₂×C₄	semidirect
391. #13133199	C₂×C₄	semidirect
392. #13133199	C₂×C₄	semidirect
393. #13133199	C₂×C₄	semidirect
394. #13133199	C₂×C₄	semidirect
395. #13133199	C₂×C₄	semidirect
396. #13133198	C₂×C₄	semidirect
397. #13133198	C₂×C₄	semidirect
398. #13133198	C₂×C₄	semidirect
399. #13133198	C₂×C₄	semidirect
400. #13133197	C₂×C₄	semidirect
401. #13133197	C₂×C₄	semidirect
402. #13133196	C₂×C₄	semidirect
403. #13133196	C₂×C₄	semidirect
404. #13133195	C₂×C₄	semidirect
405. #13133195	C₂×C₄	semidirect
406. #13133195	C₂×C₄	semidirect
407. #13133195	C₂×C₄	semidirect
408. #13133194	C₂×C₄	semidirect
409. #13133194	C₂×C₄	semidirect
410. #13133194	C₂×C₄	semidirect
411. #13133194	C₂×C₄	semidirect
412. #13133193	C₂×C₄	semidirect
413. #13133193	C₂×C₄	semidirect
415. #13133192	C₂×C₄	semidirect
417. #13133191	C₂×C₄	semidirect
420. #13133190	C₂×C₄	semidirect
421. #13133190	C₂×C₄	semidirect
424. #13133189	C₂×C₄	semidirect
425. #13133189	C₂×C₄	semidirect
427. #13133188	C₂×C₄	semidirect
428. C₄×D₂₁₂	C₂×C₄	semidirect
429. C₄×D₂₁₂	C₂×C₄	semidirect
430. D₄×Dic₅₃	C₂×C₄	semidirect
431. D₄×Dic₅₃	C₂×C₄	semidirect
432. #13133179	C₂×C₄	semidirect
433. #13133179	C₂×C₄	semidirect
434. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
435. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
436. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
437. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
438. #13133177	C₂×C₄	semidirect
439. #13133177	C₂×C₄	semidirect
440. #13133177	C₂×C₄	semidirect
441. #13133177	C₂×C₄	semidirect
442. C₂×C₄⋊Dic₅₃	C₂×C₄	semidirect
443. C₂×C₄⋊Dic₅₃	C₂×C₄	semidirect
444. C₂×#11719919	C₂×C₄	semidirect
445. C₂×#11719919	C₂×C₄	semidirect
446. C₂×#11719919	C₂×C₄	semidirect
447. C₂×#11719919	C₂×C₄	semidirect
448. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
449. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
450. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
451. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
452. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
453. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
454. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
455. C₄⋊C₄×D₅₃	C₂×C₄	semidirect
475. C₂×#41×C₅₃	C₂×C₄	semidirect
476. C₂×#41×C₅₃	C₂×C₄	semidirect
477. C₄⋊Q₈×C₅₃	C₂×C₄	semidirect
478. #123×C₅₃	C₂×C₄	semidirect
479. #123×C₅₃	C₂×C₄	semidirect
480. #123×C₅₃	C₂×C₄	semidirect
481. #123×C₅₃	C₂×C₄	semidirect
482. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
483. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
485. #121×C₅₃	C₂×C₄	semidirect
486. C₄×D₄×C₅₃	C₂×C₄	semidirect
487. C₄×D₄×C₅₃	C₂×C₄	semidirect
488. C₂×C₄⋊C₄×C₅₃	C₂×C₄	semidirect
489. C₂×C₄⋊C₄×C₅₃	C₂×C₄	semidirect
1139. #547	#6157	semidirect
1293. C₅₃	#34469	semidirect
1312. C₂×#41	C₂×#6157	semidirect
1313. C₂×#41	C₂×#6157	semidirect
1345. C₄⋊Q₈	C₂×#6157	semidirect
1374. #123	C₂×#6157	semidirect
1375. #123	C₂×#6157	semidirect
1376. #123	C₂×#6157	semidirect
1377. #123	C₂×#6157	semidirect
1392. C₂²⋊Q₈	C₂×#6157	semidirect
1393. C₂²⋊Q₈	C₂×#6157	semidirect
1409. #121	C₂×#6157	semidirect
1428. C₄×D₄	C₂×#6157	semidirect
1429. C₄×D₄	C₂×#6157	semidirect
1475. C₂×C₄⋊C₄	C₂×#6157	semidirect
1476. C₂×C₄⋊C₄	C₂×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291260	2
#20291257	2
#20291256	2
#20291255	2
#20291253	2
#20291247	2
#20291243	2
#20291238	2
#20291232	2
#20291224	2
#20291223	2
#20291218	2
#20291214	2
#20291212	2
#20291211	2
#20291210	2
#20291208	2
#20291204	2
#20291201	2
#20291197	2
#20291192	2
#20291190	2
#123×#6157	2
#20291176	2
C₂×#16811572	2
#547×D₅₃	2
#34469	53