Subgroups — #14219432

Order 1792.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743288	C₂	1	1	yes	maximal, characteristic
2	C₇×#2981	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740724	C₂	1	1	yes	maximal, characteristic, complemented
4	#11736973	C₂	1	1	yes	maximal, characteristic, complemented
5	#11736970	C₂	1	1	yes	maximal, characteristic, complemented
6	#11736965	C₂	1	1	yes	maximal, characteristic, complemented
7	#11736964	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736913	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736909	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736907	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736906	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736905	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736903	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736901	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736898	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736854	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736852	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736847	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736845	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736777	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736759	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736730	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736710	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736114	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736114	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736113	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736112	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736095	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736095	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736094	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736093	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#532	C₂²	1	1	yes	characteristic
33	#90523	C₂²	1	1	yes	characteristic
34	#90523	C₂²	1	1	yes	characteristic
35	#41×Dic₇	C₂²	1	1	yes	characteristic
36	#41×Dic₇	C₂²	1	1	yes	characteristic
37	#90423	C₄	1	1	yes	characteristic
38	#90412	C₄	1	1	yes	characteristic
39	#90409	C₄	1	1	yes	characteristic
40	#90404	C₄	1	1	yes	characteristic
41	#90372	C₄	1	1	yes	characteristic
42	#90372	C₄	1	1	yes	characteristic
43	#90362	C₄	1	1	yes	characteristic
44	#90362	C₄	1	1	yes	characteristic
45	#90309	C₄	1	1	yes	characteristic
46	#90309	C₄	1	1	yes	characteristic
47	#90292	C₄	1	1	yes	characteristic
48	#90292	C₄	1	1	yes	characteristic
49	#90292	C₄	1	1	yes	characteristic
50	#90292	C₄	1	1	yes	characteristic
51	#90289	C₄	1	1	yes	characteristic
52	#90289	C₄	1	1	yes	characteristic
53	#90248	C₂²	1	1	yes	characteristic
54	#90248	C₂²	1	1	yes	characteristic
55	#90229	C₂²	1	1	yes	characteristic
56	#90229	C₂²	1	1	yes	characteristic
57	#90229	C₂²	1	1	yes	characteristic
58	#90229	C₂²	1	1	yes	characteristic
59	C₄×#1159	C₂²	1	1	yes	characteristic
60	C₄×#1159	C₂²	1	1	yes	characteristic
61	C₄×#1157	C₂²	1	1	yes	characteristic
62	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
63	C₇×#436	C₂²	1	1	yes	characteristic
64	C₇×#436	C₂²	1	1	yes	characteristic
65	C₇×#435	C₂²	1	1	yes	characteristic
66	C₇×#435	C₂²	1	1	yes	characteristic
67	C₇×#435	C₂²	1	1	yes	characteristic
68	C₇×#435	C₂²	1	1	yes	characteristic
69	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
70	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
71	C₇×#432	C₂²	1	1	yes	characteristic
72	C₇×#431	C₂²	1	1	yes	characteristic
73	C₇×#408	C₂²	1	1	yes	characteristic
74	C₇×#408	C₂²	1	1	yes	characteristic
75	C₇×#408	C₂²	1	1	yes	characteristic
76	C₇×#408	C₂²	1	1	yes	characteristic
77	#90006	C₂²	1	1	yes	characteristic
78	#90006	C₂²	1	1	yes	characteristic
79	#90006	C₂²	1	1	yes	characteristic
80	#90006	C₂²	1	1	yes	characteristic
81	#89900	C₂²	1	1	yes	characteristic
82	#89900	C₂²	1	1	yes	characteristic
83	#89900	C₂²	1	1	yes	characteristic
84	#89900	C₂²	1	1	yes	characteristic
85	#89899	C₂²	1	1	yes	characteristic
86	#89899	C₂²	1	1	yes	characteristic
87	#89899	C₂²	1	1	yes	characteristic
88	#89899	C₂²	1	1	yes	characteristic
89	#89894	C₂²	1	1	yes	characteristic
90	#89894	C₂²	1	1	yes	characteristic
91	#89891	C₂²	1	1	yes	characteristic
92	#89891	C₂²	1	1	yes	characteristic
93	#89890	C₂²	1	1	yes	characteristic
94	#89890	C₂²	1	1	yes	characteristic
95	M₁₆×Dic₇	C₂²	1	1	yes	characteristic
96	M₁₆×Dic₇	C₂²	1	1	yes	characteristic
97	#89883	C₂²	1	1	yes	characteristic
98	#89883	C₂²	1	1	yes	characteristic
99	#89883	C₂²	1	1	yes	characteristic
100	#89883	C₂²	1	1	yes	characteristic
101	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
102	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
103	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
104	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
105	#89874	C₂²	1	1	yes	characteristic
106	#89874	C₂²	1	1	yes	characteristic
107	#89873	C₂²	1	1	yes	characteristic
108	#89873	C₂²	1	1	yes	characteristic
109	C₂×#6389	C₂²	1	1	yes	characteristic
110	C₂×Dic₇⋊C₈	C₂²	1	1	yes	characteristic
111	C₂×Dic₇⋊C₈	C₂²	1	1	yes	characteristic
112	C₂×C₈×Dic₇	C₂²	1	1	yes	characteristic
113	#89783	C₂²	1	1	yes	characteristic
114	#89783	C₂²	1	1	yes	characteristic
115	#89783	C₂²	1	1	yes	characteristic
116	#89783	C₂²	1	1	yes	characteristic
117	#89783	C₂²	1	1	yes	characteristic
118	#89783	C₂²	1	1	yes	characteristic
119	#89783	C₂²	1	1	yes	characteristic
120	#89783	C₂²	1	1	yes	characteristic
121	#89698	C₂²	1	1	yes	characteristic
122	#89698	C₂²	1	1	yes	characteristic
123	#89612	C₂²	1	1	yes	characteristic
124	#89612	C₂²	1	1	yes	characteristic
125	#89611	C₂²	1	1	yes	characteristic
126	#89611	C₂²	1	1	yes	characteristic
127	#89609	C₂²	1	1	yes	characteristic
128	#89607	C₂²	1	1	yes	characteristic
129	#89605	C₂²	1	1	yes	characteristic
130	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
131	#89600	C₂²	1	1	yes	characteristic
132	#89600	C₂²	1	1	yes	characteristic
133	#89600	C₂²	1	1	yes	characteristic
134	#89600	C₂²	1	1	yes	characteristic
135	#89600	C₂²	1	1	yes	characteristic
136	#89600	C₂²	1	1	yes	characteristic
137	#89600	C₂²	1	1	yes	characteristic
138	#89600	C₂²	1	1	yes	characteristic
139	#89502	C₂²	1	1	yes	characteristic
140	#89502	C₂²	1	1	yes	characteristic
141	#89502	C₂²	1	1	yes	characteristic
142	#89502	C₂²	1	1	yes	characteristic
143	#89501	C₂²	1	1	yes	characteristic
144	#89501	C₂²	1	1	yes	characteristic
145	#89501	C₂²	1	1	yes	characteristic
146	#89501	C₂²	1	1	yes	characteristic
147	#89500	C₂²	1	1	yes	characteristic
148	#89500	C₂²	1	1	yes	characteristic
149	#89500	C₂²	1	1	yes	characteristic
150	#89500	C₂²	1	1	yes	characteristic
151	#89499	C₂²	1	1	yes	characteristic
152	#89499	C₂²	1	1	yes	characteristic
153	#89499	C₂²	1	1	yes	characteristic
154	#89499	C₂²	1	1	yes	characteristic
155	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
156	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
157	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
158	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
159	#89492	C₂²	1	1	yes	characteristic
160	#89492	C₂²	1	1	yes	characteristic
161	#89492	C₂²	1	1	yes	characteristic
162	#89492	C₂²	1	1	yes	characteristic
163	#89492	C₂²	1	1	yes	characteristic
164	#89492	C₂²	1	1	yes	characteristic
165	#89492	C₂²	1	1	yes	characteristic
166	#89492	C₂²	1	1	yes	characteristic
167	#89492	C₂²	1	1	yes	characteristic
168	#89492	C₂²	1	1	yes	characteristic
169	#89492	C₂²	1	1	yes	characteristic
170	#89492	C₂²	1	1	yes	characteristic
171	#89491	C₂²	1	1	yes	characteristic
172	#89491	C₂²	1	1	yes	characteristic
173	#89491	C₂²	1	1	yes	characteristic
174	#89491	C₂²	1	1	yes	characteristic
175	#89491	C₂²	1	1	yes	characteristic
176	#89491	C₂²	1	1	yes	characteristic
177	#89491	C₂²	1	1	yes	characteristic
178	#89491	C₂²	1	1	yes	characteristic
179	#89490	C₂²	1	1	yes	characteristic
180	#89490	C₂²	1	1	yes	characteristic
181	#89490	C₂²	1	1	yes	characteristic
182	#89490	C₂²	1	1	yes	characteristic
183	#89490	C₂²	1	1	yes	characteristic
184	#89490	C₂²	1	1	yes	characteristic
185	#89490	C₂²	1	1	yes	characteristic
186	#89490	C₂²	1	1	yes	characteristic
187	#89479	C₂²	1	1	yes	characteristic
188	#89477	C₂²	1	1	yes	characteristic
189	#89477	C₂²	1	1	yes	characteristic
190	D₇×#97	C₂²	1	1	yes	characteristic
191	#89473	C₂²	1	1	yes	characteristic
192	#89473	C₂²	1	1	yes	characteristic
193	#89473	C₂²	1	1	yes	characteristic
194	#89473	C₂²	1	1	yes	characteristic
195	#89462	C₂²	1	1	yes	characteristic
196	#89462	C₂²	1	1	yes	characteristic
197	#89461	C₂²	1	1	yes	characteristic
198	#89461	C₂²	1	1	yes	characteristic
199	#89451	C₂²	1	1	yes	characteristic
200	#89451	C₂²	1	1	yes	characteristic
201	C₈×Dic₁₄	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₄	C₂²	1	1	yes	characteristic
203	#60302	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂×#1159	C₂×C₄	1	1	yes	characteristic
207	C₂×#1159	C₂×C₄	1	1	yes	characteristic
208	C₂×#1157	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₄	C₂×C₄	1	1	yes	characteristic
210	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
215	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
216	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
217	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
218	C₇×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
219	C₇×#127	C₂×C₄	1	1	yes	characteristic
220	C₇×#124	C₂×C₄	1	1	yes	characteristic
221	C₇×#124	C₂×C₄	1	1	yes	characteristic
222	C₇×#121	C₂×C₄	1	1	yes	characteristic
223	C₇×#121	C₂×C₄	1	1	yes	characteristic
224	C₇×#121	C₂×C₄	1	1	yes	characteristic
225	C₇×#121	C₂×C₄	1	1	yes	characteristic
226	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
227	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
231	#6510	C₂×C₄	1	1	yes	characteristic
232	#6510	C₂×C₄	1	1	yes	characteristic
233	Q₈×Dic₇	C₂×C₄	1	1	yes	characteristic
234	Q₈×Dic₇	C₂×C₄	1	1	yes	characteristic
235	Q₈×Dic₇	C₂×C₄	1	1	yes	characteristic
236	Q₈×Dic₇	C₂×C₄	1	1	yes	characteristic
237	#6507	C₂×C₄	1	1	yes	characteristic
238	#6507	C₂×C₄	1	1	yes	characteristic
239	#6503	C₂×C₄	1	1	yes	characteristic
240	#6503	C₂×C₄	1	1	yes	characteristic
241	#6502	C₂×C₄	1	1	yes	characteristic
242	#6502	C₂×C₄	1	1	yes	characteristic
243	#6502	C₂×C₄	1	1	yes	characteristic
244	#6502	C₂×C₄	1	1	yes	characteristic
245	#6502	C₂×C₄	1	1	yes	characteristic
246	#6502	C₂×C₄	1	1	yes	characteristic
247	#6502	C₂×C₄	1	1	yes	characteristic
248	#6502	C₂×C₄	1	1	yes	characteristic
249	#6502	C₂×C₄	1	1	yes	characteristic
250	#6502	C₂×C₄	1	1	yes	characteristic
251	#6502	C₂×C₄	1	1	yes	characteristic
252	#6502	C₂×C₄	1	1	yes	characteristic
253	#6501	C₂×C₄	1	1	yes	characteristic
254	#6501	C₂×C₄	1	1	yes	characteristic
255	#6499	C₂×C₄	1	1	yes	characteristic
256	#6499	C₂×C₄	1	1	yes	characteristic
257	#6499	C₂×C₄	1	1	yes	characteristic
258	#6499	C₂×C₄	1	1	yes	characteristic
259	#6498	C₂×C₄	1	1	yes	characteristic
260	#6498	C₂×C₄	1	1	yes	characteristic
261	#6498	C₂×C₄	1	1	yes	characteristic
262	#6498	C₂×C₄	1	1	yes	characteristic
263	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
264	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
265	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
266	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
267	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
268	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
269	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
270	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
271	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
272	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
273	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
274	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
275	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
276	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
277	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
278	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
279	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
280	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
281	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
282	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
283	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
284	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
285	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
286	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
287	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
288	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
289	#6489	C₂³	1	1	yes	characteristic
290	#6489	C₂³	1	1	yes	characteristic
291	#6489	C₂³	1	1	yes	characteristic
292	#6489	C₂³	1	1	yes	characteristic
293	#6489	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₇	C₂×C₄	1	1	yes	characteristic
295	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
297	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
303	C₂×#1136	C₂³	1	1	yes	characteristic
304	C₂×#1136	C₂³	1	1	yes	characteristic
305	C₂×#1136	C₂³	1	1	yes	characteristic
306	C₂×#1136	C₂³	1	1	yes	characteristic
307	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
308	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
309	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
310	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
311	C₂×#1131	C₂³	1	1	yes	characteristic
312	C₂×#1131	C₂³	1	1	yes	characteristic
313	C₂×#1131	C₂³	1	1	yes	characteristic
314	C₂×#1131	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
318	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
319	#6461	C₂×C₄	1	1	yes	characteristic
320	#6461	C₂×C₄	1	1	yes	characteristic
321	#6461	C₂×C₄	1	1	yes	characteristic
322	#6461	C₂×C₄	1	1	yes	characteristic
323	#6460	C₂×C₄	1	1	yes	characteristic
324	#6460	C₂×C₄	1	1	yes	characteristic
325	#6455	C₂×C₄	1	1	yes	characteristic
326	#6455	C₂×C₄	1	1	yes	characteristic
327	#6453	C₂×C₄	1	1	yes	characteristic
328	#6453	C₂×C₄	1	1	yes	characteristic
329	#6452	C₂×C₄	1	1	yes	characteristic
330	#6452	C₂×C₄	1	1	yes	characteristic
331	#6452	C₂×C₄	1	1	yes	characteristic
332	#6452	C₂×C₄	1	1	yes	characteristic
333	#6450	C₂×C₄	1	1	yes	characteristic
334	#6450	C₂×C₄	1	1	yes	characteristic
335	#6449	C₂×C₄	1	1	yes	characteristic
336	#6449	C₂×C₄	1	1	yes	characteristic
337	#6449	C₂×C₄	1	1	yes	characteristic
338	#6449	C₂×C₄	1	1	yes	characteristic
339	#6448	C₂×C₄	1	1	yes	characteristic
340	#6448	C₂×C₄	1	1	yes	characteristic
341	#6448	C₂×C₄	1	1	yes	characteristic
342	#6448	C₂×C₄	1	1	yes	characteristic
343	#6446	C₂×C₄	1	1	yes	characteristic
344	#6446	C₂×C₄	1	1	yes	characteristic
345	#6446	C₂×C₄	1	1	yes	characteristic
346	#6446	C₂×C₄	1	1	yes	characteristic
347	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
348	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
349	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
350	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
351	#6442	C₂×C₄	1	1	yes	characteristic
352	#6442	C₂×C₄	1	1	yes	characteristic
353	#6442	C₂×C₄	1	1	yes	characteristic
354	#6442	C₂×C₄	1	1	yes	characteristic
355	#6442	C₂×C₄	1	1	yes	characteristic
356	#6442	C₂×C₄	1	1	yes	characteristic
357	#6442	C₂×C₄	1	1	yes	characteristic
358	#6442	C₂×C₄	1	1	yes	characteristic
359	#6441	C₂×C₄	1	1	yes	characteristic
360	#6441	C₂×C₄	1	1	yes	characteristic
361	#6441	C₂×C₄	1	1	yes	characteristic
362	#6441	C₂×C₄	1	1	yes	characteristic
363	#6440	C₂×C₄	1	1	yes	characteristic
364	#6440	C₂×C₄	1	1	yes	characteristic
365	#6440	C₂×C₄	1	1	yes	characteristic
366	#6440	C₂×C₄	1	1	yes	characteristic
367	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
368	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
369	#6435	C₂³	1	1	yes	characteristic
370	#6435	C₂³	1	1	yes	characteristic
371	C₄²×D₇	C₂³	1	1	yes	characteristic
372	C₄²×D₇	C₂³	1	1	yes	characteristic
373	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
374	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
375	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
376	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
377	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
378	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
379	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
380	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
381	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
382	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
383	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
384	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
385	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
386	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
387	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
388	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
389	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
390	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
391	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
392	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
393	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
394	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
395	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
396	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
397	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
398	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
399	C₇×#97	C₂³	1	1	yes	characteristic
400	C₇×#97	C₂³	1	1	yes	characteristic
401	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
402	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
403	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
404	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
405	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
406	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
407	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
408	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
409	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
410	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
411	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
412	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
413	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
414	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
415	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
416	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
417	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
418	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
419	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
420	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
421	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
422	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
423	#6389	C₂³	1	1	yes	characteristic
424	#6389	C₂³	1	1	yes	characteristic
425	#6389	C₂³	1	1	yes	characteristic
426	#6389	C₂³	1	1	yes	characteristic
427	#6389	C₂³	1	1	yes	characteristic
428	#6389	C₂³	1	1	yes	characteristic
429	#6389	C₂³	1	1	yes	characteristic
430	#6389	C₂³	1	1	yes	characteristic
431	#6389	C₂³	1	1	yes	characteristic
432	#6389	C₂³	1	1	yes	characteristic
433	#6389	C₂³	1	1	yes	characteristic
434	#6389	C₂³	1	1	yes	characteristic
435	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
436	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
437	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
438	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
439	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
440	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
441	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
442	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
443	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
444	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
445	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
450	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
451	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
452	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
453	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
454	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
455	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
456	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
457	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
458	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
459	C₈×Dic₇	C₂³	1	1	yes	characteristic
460	C₈×Dic₇	C₂³	1	1	yes	characteristic
461	C₈×Dic₇	C₂³	1	1	yes	characteristic
462	C₈×Dic₇	C₂³	1	1	yes	characteristic
463	C₈×Dic₇	C₂³	1	1	yes	characteristic
464	C₈×Dic₇	C₂³	1	1	yes	characteristic
465	C₈×Dic₇	C₂³	1	1	yes	characteristic
466	C₈×Dic₇	C₂³	1	1	yes	characteristic
467	C₈×Dic₇	C₂³	1	1	yes	characteristic
468	C₈×Dic₇	C₂³	1	1	yes	characteristic
469	C₈×Dic₇	C₂³	1	1	yes	characteristic
470	C₈×Dic₇	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
473	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	#6377	C₂³	1	1	yes	characteristic
476	#6377	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	#6377	C₂³	1	1	yes	characteristic
479	#3480	—	7	1	no	—
480	#2995	—	7	1	no	—
481	#2995	—	7	1	no	—
482	#2994	—	7	1	no	—
483	#2993	—	7	1	no	—
484	#2992	—	7	1	no	—
485	#2992	—	7	1	no	—
486	#2990	—	7	1	no	—
487	#2989	—	7	1	no	—
488	#2984	—	7	1	no	—
489	#2983	—	7	1	no	—
490	#2981	—	7	1	no	—
491	#2981	—	7	1	no	—
492	#2981	D₇	1	1	yes	characteristic, complemented
493	#2980	—	7	1	no	—
494	#2980	—	7	1	no	—
495	#2979	—	7	1	no	—
496	#2970	—	7	1	no	—
497	#2969	—	7	1	no	—
498	#2968	—	7	1	no	—
499	#2968	—	7	1	no	—
500	#2967	—	7	1	no	—
501	#2967	—	7	1	no	—
502	#2966	—	7	1	no	—
503	#2965	—	7	1	no	—
504	#2925	—	7	1	no	—
505	#2925	—	7	1	no	—
506	#2925	—	7	1	no	—
507	#2923	—	7	1	no	—
508	#2923	—	7	1	no	—
509	#2922	—	7	1	no	—
510	C₇×#41	—	4	1	no	—
511	C₇×#41	—	4	1	no	—
512	C₇×#41	—	4	1	no	—
513	C₇×#41	—	4	1	no	—
514	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
526	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
527	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
528	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
533	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
543	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
544	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
545	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
546	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
547	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
548	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
549	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
550	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
551	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
552	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
553	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
554	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
555	#1159	—	4	2	no	—
556	#1159	—	4	2	no	—
557	#1157	—	4	1	no	—
558	#1157	—	4	1	no	—
559	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₄	—	4	2	no	—
567	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
568	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
569	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
570	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
571	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
572	C₇×M₁₆	—	4	1	no	—
573	C₇×M₁₆	—	4	1	no	—
574	C₇×M₁₆	—	4	1	no	—
575	C₇×M₁₆	—	4	1	no	—
576	C₂×C₇×C₈	—	4	1	no	—
577	C₂×C₇×C₈	—	4	1	no	—
578	C₂×C₇×C₈	—	4	1	no	—
579	C₂×C₇×C₈	—	4	1	no	—
580	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
583	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
586	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
587	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
588	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
601	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
602	C₄²×C₇	C₂⁴	1	1	yes	characteristic
603	C₄²×C₇	C₂⁴	1	1	yes	characteristic
604	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
605	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
606	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
607	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
608	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
609	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
610	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
611	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
612	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
613	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
614	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
615	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
616	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
619	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
620	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
621	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
622	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
635	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
636	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
637	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
638	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
639	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
640	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
641	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
642	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
643	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
644	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
647	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
648	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
669	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
670	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
671	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
672	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
673	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
674	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
675	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
676	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
677	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
678	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
679	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
680	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
681	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
682	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
683	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
684	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
685	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
686	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
687	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
690	#1136	—	4	1	no	—
691	#1136	—	4	1	no	—
692	#1136	—	4	1	no	—
693	#1136	—	4	1	no	—
694	C₂×C₇⋊C₈	—	4	1	no	—
695	C₂×C₇⋊C₈	—	4	1	no	—
696	C₂×C₇⋊C₈	—	4	1	no	—
697	C₂×C₇⋊C₈	—	4	1	no	—
698	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
700	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
701	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
702	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
703	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
704	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
705	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
706	#1131	—	4	1	no	—
707	#1131	—	4	1	no	—
708	#1131	—	4	1	no	—
709	#1131	—	4	1	no	—
710	C₈×D₇	—	4	1	no	—
711	C₈×D₇	—	4	1	no	—
712	C₈×D₇	—	4	1	no	—
713	C₈×D₇	—	4	1	no	—
714	#559	—	7	1	no	—
715	#559	—	7	1	no	—
716	#559	—	7	1	no	—
717	#557	—	7	1	no	—
718	#556	—	7	1	no	—
719	#556	—	7	1	no	—
720	#556	—	7	1	no	—
721	#553	—	7	1	no	—
722	#553	—	7	1	no	—
723	#553	—	7	1	no	—
724	#553	—	7	1	no	—
725	#553	—	7	1	no	—
726	#553	—	7	1	no	—
727	#550	—	7	1	no	—
728	#548	—	7	1	no	—
729	#548	—	7	1	no	—
730	#532	—	7	1	no	—
731	#532	—	7	1	no	—
732	#532	C₂×D₇	1	1	yes	characteristic
733	#529	—	7	1	no	—
734	#529	—	7	1	no	—
735	#529	—	7	1	no	—
736	#529	—	7	1	no	—
737	#529	—	7	1	no	—
738	#529	—	7	1	no	—
739	C₄×#41	—	7	1	no	—
740	C₄×#41	—	7	1	no	—
741	C₄×#41	—	7	1	no	—
742	C₄×#41	—	7	1	no	—
743	C₄×#41	—	7	1	no	—
744	C₂×C₄×Q₈	—	7	1	no	—
745	#446	—	7	1	no	—
746	#446	—	7	1	no	—
747	#446	—	7	1	no	—
748	#446	—	7	1	no	—
749	#446	—	7	1	no	—
750	#446	—	7	1	no	—
751	#446	—	7	1	no	—
752	#446	—	7	1	no	—
753	#446	—	7	1	no	—
754	#446	—	7	1	no	—
755	#446	—	7	1	no	—
756	#446	—	7	1	no	—
757	#446	—	7	1	no	—
758	#446	—	7	1	no	—
759	C₈×Q₈	—	7	1	no	—
760	C₈×Q₈	—	7	1	no	—
761	#436	—	7	1	no	—
762	#436	—	7	1	no	—
763	#436	—	7	1	no	—
764	#436	—	7	1	no	—
765	#436	—	7	1	no	—
766	#436	—	7	1	no	—
767	#436	—	7	1	no	—
768	#436	—	7	1	no	—
769	#436	C₂×D₇	1	1	yes	characteristic
770	#436	C₂×D₇	1	1	yes	characteristic
771	#435	—	7	1	no	—
772	#435	—	7	1	no	—
773	#435	—	7	1	no	—
774	#435	—	7	1	no	—
775	#435	—	7	1	no	—
776	#435	—	7	1	no	—
777	#435	—	7	1	no	—
778	#435	—	7	1	no	—
779	#435	—	7	1	no	—
780	#435	—	7	1	no	—
781	#435	—	7	1	no	—
782	#435	—	7	1	no	—
783	#435	—	7	1	no	—
784	#435	—	7	1	no	—
785	#435	—	7	1	no	—
786	#435	—	7	1	no	—
787	#435	—	7	1	no	—
788	#435	—	7	1	no	—
789	#435	—	7	1	no	—
790	#435	—	7	1	no	—
791	#435	—	7	1	no	—
792	#435	—	7	1	no	—
793	#435	—	7	1	no	—
794	#435	—	7	1	no	—
795	#435	C₂×D₇	1	1	yes	characteristic
796	#435	C₂×D₇	1	1	yes	characteristic
797	#435	C₂×D₇	1	1	yes	characteristic
798	#435	C₂×D₇	1	1	yes	characteristic
799	C₈×D₄	—	7	1	no	—
800	C₈×D₄	—	7	1	no	—
801	C₈×D₄	—	7	1	no	—
802	C₈×D₄	—	7	1	no	—
803	C₈×D₄	—	7	1	no	—
804	C₈×D₄	—	7	1	no	—
805	C₈×D₄	—	7	1	no	—
806	C₈×D₄	—	7	1	no	—
807	C₈×D₄	C₂×D₇	1	1	yes	characteristic
808	C₈×D₄	C₂×D₇	1	1	yes	characteristic
809	#433	—	7	1	no	—
810	#433	—	7	1	no	—
811	#433	—	7	1	no	—
812	#433	—	7	1	no	—
813	#433	—	7	1	no	—
814	#433	—	7	1	no	—
815	#433	—	7	1	no	—
816	#433	—	7	1	no	—
817	#433	—	7	1	no	—
818	#433	—	7	1	no	—
819	#433	—	7	1	no	—
820	#433	—	7	1	no	—
821	#433	—	7	1	no	—
822	#433	—	7	1	no	—
823	#433	—	7	1	no	—
824	#433	—	7	1	no	—
825	#432	—	7	1	no	—
826	#432	—	7	1	no	—
827	#432	—	7	1	no	—
828	#432	—	7	1	no	—
829	#432	—	7	1	no	—
830	#432	—	7	1	no	—
831	#432	—	7	1	no	—
832	#432	—	7	1	no	—
833	#432	—	7	1	no	—
834	#432	—	7	1	no	—
835	#432	—	7	1	no	—
836	#432	—	7	1	no	—
837	#432	—	7	1	no	—
838	#432	C₂×D₇	1	1	yes	characteristic
839	#431	—	7	1	no	—
840	#431	—	7	1	no	—
841	#431	—	7	1	no	—
842	#431	—	7	1	no	—
843	#431	—	7	1	no	—
844	#431	—	7	1	no	—
845	#431	—	7	1	no	—
846	#431	—	7	1	no	—
847	#431	—	7	1	no	—
848	#431	C₂×D₇	1	1	yes	characteristic
849	#424	—	7	1	no	—
850	#424	—	7	1	no	—
851	#424	—	7	1	no	—
852	#424	—	7	1	no	—
853	#424	—	7	1	no	—
854	#424	—	7	1	no	—
855	#423	—	7	1	no	—
856	#423	—	7	1	no	—
857	#423	—	7	1	no	—
858	C₂×C₄⋊C₈	—	7	1	no	—
859	C₂×C₄⋊C₈	—	7	1	no	—
860	C₂×C₄⋊C₈	—	7	1	no	—
861	#408	—	7	1	no	—
862	#408	—	7	1	no	—
863	#408	—	7	1	no	—
864	#408	—	7	1	no	—
865	#408	—	7	1	no	—
866	#408	—	7	1	no	—
867	#408	—	7	1	no	—
868	#408	—	7	1	no	—
869	#408	C₂×D₇	1	1	yes	characteristic
870	#408	C₂×D₇	1	1	yes	characteristic
871	#408	C₂×D₇	1	1	yes	characteristic
872	#408	C₂×D₇	1	1	yes	characteristic
873	#405	—	7	1	no	—
874	#405	—	7	1	no	—
875	#405	—	7	1	no	—
876	#405	—	7	1	no	—
877	#405	—	7	1	no	—
878	#405	—	7	1	no	—
879	C₄×M₁₆	—	7	1	no	—
880	C₄×M₁₆	—	7	1	no	—
881	C₄×M₁₆	—	7	1	no	—
882	C₂×#97	—	7	1	no	—
883	C₂×#97	—	7	1	no	—
884	C₂×C₄×C₈	—	7	1	no	—
885	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
886	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
887	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
888	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
889	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
890	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
891	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
892	C₇×Q₈	—	4	1	no	—
893	C₇×Q₈	—	4	1	no	—
894	C₇×D₄	—	4	1	no	—
895	C₇×D₄	—	4	1	no	—
896	C₇×D₄	—	4	1	no	—
897	C₇×D₄	—	4	1	no	—
898	C₇×D₄	—	4	1	no	—
899	C₇×D₄	—	4	1	no	—
900	C₇×D₄	—	4	1	no	—
901	C₇×D₄	—	4	1	no	—
902	C₇×D₄	—	4	1	no	—
903	C₇×D₄	—	4	1	no	—
904	C₂×C₄×C₇	—	2	1	no	—
905	C₂×C₄×C₇	—	2	1	no	—
906	C₂×C₄×C₇	—	2	1	no	—
907	C₂×C₄×C₇	—	2	1	no	—
908	C₂×C₄×C₇	—	2	1	no	—
909	C₂×C₄×C₇	—	2	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	2	1	no	—
912	C₂×C₄×C₇	—	2	1	no	—
913	C₂×C₄×C₇	—	2	1	no	—
914	C₂×C₄×C₇	—	4	1	no	—
915	C₂×C₄×C₇	—	4	1	no	—
916	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
917	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
918	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
919	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
920	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
921	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
922	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
923	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
924	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
925	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
926	C₂²⋊D₇	—	2	2	no	—
927	C₂²⋊D₇	—	2	2	no	—
928	C₂²⋊D₇	—	4	1	no	—
929	C₂²⋊D₇	—	4	1	no	—
930	C₂²⋊D₇	—	4	1	no	—
931	C₂²⋊D₇	—	4	1	no	—
932	C₂²⋊D₇	—	4	1	no	—
933	C₂²⋊D₇	—	4	1	no	—
934	C₂²⋊D₇	—	4	1	no	—
935	C₂²⋊D₇	—	4	1	no	—
936	C₂×Dic₇	—	2	2	no	—
937	C₂×Dic₇	—	2	2	no	—
938	C₂×Dic₇	—	2	2	no	—
939	C₂×Dic₇	—	4	1	no	—
940	C₂×Dic₇	—	4	1	no	—
941	C₂×Dic₇	—	4	1	no	—
942	C₂×Dic₇	—	4	1	no	—
943	C₂×Dic₇	—	4	1	no	—
944	C₂×Dic₇	—	4	1	no	—
945	C₂×Dic₇	—	4	1	no	—
946	C₂×Dic₇	—	4	1	no	—
947	C₂×Dic₇	—	4	1	no	—
948	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
949	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
950	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
951	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
952	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
953	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
954	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
955	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
956	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
957	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
958	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
959	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
960	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
961	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
962	D₂₈	—	4	1	no	—
963	C₄×D₇	—	2	1	no	—
964	C₄×D₇	—	2	1	no	—
965	C₄×D₇	—	2	1	no	—
966	C₄×D₇	—	2	1	no	—
967	C₄×D₇	—	4	1	no	—
968	C₄×D₇	—	4	1	no	—
969	C₄×D₇	—	4	1	no	—
970	C₄×D₇	—	4	1	no	—
971	Dic₁₄	—	2	2	no	—
972	Dic₁₄	—	2	2	no	—
973	Dic₁₄	—	4	1	no	—
974	Dic₁₄	—	4	1	no	—
975	Dic₁₄	—	4	1	no	—
976	C₇×C₈	—	2	1	no	—
977	C₇×C₈	—	2	1	no	—
978	C₇×C₈	—	2	1	no	—
979	C₇×C₈	—	2	1	no	—
980	C₇×C₈	—	2	1	no	—
981	C₇×C₈	—	2	1	no	—
982	C₇×C₈	—	2	1	no	—
983	C₇×C₈	—	2	1	no	—
984	C₇⋊C₈	—	2	1	no	—
985	C₇⋊C₈	—	2	1	no	—
986	C₇⋊C₈	—	2	1	no	—
987	C₇⋊C₈	—	2	1	no	—
988	C₇⋊C₈	—	2	1	no	—
989	C₇⋊C₈	—	2	1	no	—
990	C₇⋊C₈	—	2	1	no	—
991	C₇⋊C₈	—	2	1	no	—
992	C₂×#41	—	7	1	no	—
993	C₂×#41	—	7	1	no	—
994	C₂×#41	—	7	1	no	—
995	C₂×#41	C₂²×D₇	1	1	yes	characteristic
996	C₂×#41	C₂²×D₇	1	1	yes	characteristic
997	C₂²×Q₈	—	7	1	no	—
998	C₂×M₁₆	—	7	1	no	—
999	C₂×M₁₆	—	7	1	no	—
1000	C₂×M₁₆	—	7	1	no	—
1001	C₂×M₁₆	—	7	1	no	—
1002	C₂×M₁₆	—	7	1	no	—
1003	C₂×M₁₆	—	7	1	no	—
1004	C₂×M₁₆	—	7	1	no	—
1005	C₂×M₁₆	—	7	1	no	—
1006	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1007	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1008	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1009	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1010	C₂²×C₈	—	7	1	no	—
1011	C₂²×C₈	—	7	1	no	—
1012	C₂²×C₈	—	7	1	no	—
1013	C₂²×C₈	—	7	1	no	—
1014	C₂²×C₈	—	7	1	no	—
1015	C₂²×C₈	—	7	1	no	—
1016	C₂²×C₈	—	7	1	no	—
1017	C₂²×C₈	—	7	1	no	—
1018	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1019	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1020	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1021	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1022	C₄⋊Q₈	—	7	1	no	—
1023	C₄⋊Q₈	—	7	1	no	—
1024	C₄⋊Q₈	C₄×D₇	1	1	yes	characteristic
1025	#127	—	7	1	no	—
1026	#127	—	7	1	no	—
1027	#127	C₄×D₇	1	1	yes	characteristic
1028	#126	—	7	1	no	—
1029	#126	—	7	1	no	—
1030	#126	—	7	1	no	—
1031	#126	—	7	1	no	—
1032	#126	—	7	1	no	—
1033	#126	—	7	1	no	—
1034	#126	—	7	1	no	—
1035	#126	—	7	1	no	—
1036	#126	—	7	1	no	—
1037	#126	—	7	1	no	—
1038	#126	—	7	1	no	—
1039	#126	—	7	1	no	—
1040	#125	—	7	1	no	—
1041	#125	—	7	1	no	—
1042	#125	—	7	1	no	—
1043	#125	—	7	1	no	—
1044	#125	—	7	1	no	—
1045	#125	—	7	1	no	—
1046	#124	—	7	1	no	—
1047	#124	—	7	1	no	—
1048	#124	—	7	1	no	—
1049	#124	—	7	1	no	—
1050	#124	—	7	1	no	—
1051	#124	—	7	1	no	—
1052	#124	—	7	1	no	—
1053	#124	—	7	1	no	—
1054	#124	—	7	1	no	—
1055	#124	—	7	1	no	—
1056	#124	C₄×D₇	1	1	yes	characteristic
1057	#124	C₄×D₇	1	1	yes	characteristic
1058	#123	—	7	1	no	—
1059	#123	—	7	1	no	—
1060	#123	—	7	1	no	—
1061	#123	—	7	1	no	—
1062	#123	—	7	1	no	—
1063	#123	—	7	1	no	—
1064	#123	—	7	1	no	—
1065	#123	—	7	1	no	—
1066	#123	—	7	1	no	—
1067	#123	—	7	1	no	—
1068	#123	—	7	1	no	—
1069	#123	—	7	1	no	—
1070	C₂²⋊Q₈	—	7	1	no	—
1071	C₂²⋊Q₈	—	7	1	no	—
1072	C₂²⋊Q₈	—	7	1	no	—
1073	C₂²⋊Q₈	—	7	1	no	—
1074	C₂²⋊Q₈	—	7	1	no	—
1075	C₂²⋊Q₈	—	7	1	no	—
1076	#121	—	7	1	no	—
1077	#121	—	7	1	no	—
1078	#121	—	7	1	no	—
1079	#121	—	7	1	no	—
1080	#121	—	7	1	no	—
1081	#121	—	7	1	no	—
1082	#121	—	7	1	no	—
1083	#121	—	7	1	no	—
1084	#121	—	7	1	no	—
1085	#121	—	7	1	no	—
1086	#121	—	7	1	no	—
1087	#121	—	7	1	no	—
1088	#121	—	7	1	no	—
1089	#121	—	7	1	no	—
1090	#121	C₄×D₇	1	1	yes	characteristic
1091	#121	C₄×D₇	1	1	yes	characteristic
1092	#121	C₄×D₇	1	1	yes	characteristic
1093	#121	C₄×D₇	1	1	yes	characteristic
1094	C₄×Q₈	—	7	1	no	—
1095	C₄×Q₈	—	7	1	no	—
1096	C₄×Q₈	—	7	1	no	—
1097	C₄×Q₈	—	7	1	no	—
1098	C₄×Q₈	—	7	1	no	—
1099	C₄×Q₈	—	7	1	no	—
1100	C₄×Q₈	—	7	1	no	—
1101	C₄×Q₈	—	7	1	no	—
1102	C₄×Q₈	—	7	1	no	—
1103	C₄×Q₈	—	7	1	no	—
1104	C₄×Q₈	—	7	1	no	—
1105	C₄×Q₈	—	7	1	no	—
1106	C₄×Q₈	—	7	1	no	—
1107	C₄×Q₈	—	7	1	no	—
1108	C₄×Q₈	—	7	1	no	—
1109	C₄×Q₈	—	7	1	no	—
1110	C₄×D₄	—	7	1	no	—
1111	C₄×D₄	—	7	1	no	—
1112	C₄×D₄	—	7	1	no	—
1113	C₄×D₄	—	7	1	no	—
1114	C₄×D₄	—	7	1	no	—
1115	C₄×D₄	—	7	1	no	—
1116	C₄×D₄	—	7	1	no	—
1117	C₄×D₄	—	7	1	no	—
1118	C₄×D₄	—	7	1	no	—
1119	C₄×D₄	—	7	1	no	—
1120	C₄×D₄	—	7	1	no	—
1121	C₄×D₄	—	7	1	no	—
1122	C₄×D₄	—	7	1	no	—
1123	C₄×D₄	—	7	1	no	—
1124	C₄×D₄	—	7	1	no	—
1125	C₄×D₄	—	7	1	no	—
1126	C₄×D₄	—	7	1	no	—
1127	C₄×D₄	—	7	1	no	—
1128	C₄×D₄	—	7	1	no	—
1129	C₄×D₄	—	7	1	no	—
1130	C₄×D₄	—	7	1	no	—
1131	C₄×D₄	—	7	1	no	—
1132	C₄×D₄	—	7	1	no	—
1133	C₄×D₄	—	7	1	no	—
1134	C₄×D₄	—	7	1	no	—
1135	C₄×D₄	—	7	1	no	—
1136	C₄×D₄	—	7	1	no	—
1137	C₄×D₄	—	7	1	no	—
1138	C₄×D₄	—	7	1	no	—
1139	C₄×D₄	—	7	1	no	—
1140	C₄×D₄	—	7	1	no	—
1141	C₄×D₄	—	7	1	no	—
1142	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1143	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1145	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1146	#117	—	7	1	no	—
1147	#117	—	7	1	no	—
1148	#117	—	7	1	no	—
1149	#117	—	7	1	no	—
1150	#117	—	7	1	no	—
1151	#117	—	7	1	no	—
1152	#117	—	7	1	no	—
1153	#117	—	7	1	no	—
1154	#117	—	7	1	no	—
1155	#117	—	7	1	no	—
1156	#117	—	7	1	no	—
1157	#117	—	7	1	no	—
1158	#117	—	7	1	no	—
1159	C₂×C₄⋊C₄	—	7	1	no	—
1160	C₂×C₄⋊C₄	—	7	1	no	—
1161	C₂×C₄⋊C₄	—	7	1	no	—
1162	C₂×C₄²	—	7	1	no	—
1163	C₂×C₄²	—	7	1	no	—
1164	C₂×C₄²	—	7	1	no	—
1165	C₂×C₄²	—	7	1	no	—
1166	C₂×C₄²	—	7	1	no	—
1167	C₂×C₄²	—	7	1	no	—
1168	C₂×C₄²	—	7	1	no	—
1169	C₂×C₄²	—	7	1	no	—
1170	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1171	C₄⋊C₈	—	7	1	no	—
1172	C₄⋊C₈	—	7	1	no	—
1173	C₄⋊C₈	—	7	1	no	—
1174	C₄⋊C₈	—	7	1	no	—
1175	C₄⋊C₈	—	7	1	no	—
1176	C₄⋊C₈	—	7	1	no	—
1177	C₄⋊C₈	—	7	1	no	—
1178	C₄⋊C₈	—	7	1	no	—
1179	C₄⋊C₈	—	7	1	no	—
1180	C₄⋊C₈	—	7	1	no	—
1181	C₄⋊C₈	—	7	1	no	—
1182	C₄⋊C₈	—	7	1	no	—
1183	C₄⋊C₈	—	7	1	no	—
1184	C₄⋊C₈	—	7	1	no	—
1185	C₄⋊C₈	—	7	1	no	—
1186	C₄⋊C₈	—	7	1	no	—
1187	C₄⋊C₈	—	7	1	no	—
1188	C₄⋊C₈	—	7	1	no	—
1189	C₄⋊C₈	—	7	1	no	—
1190	C₄⋊C₈	—	7	1	no	—
1191	C₄⋊C₈	—	7	1	no	—
1192	C₄⋊C₈	—	7	1	no	—
1193	C₄⋊C₈	—	7	1	no	—
1194	C₄⋊C₈	—	7	1	no	—
1195	C₄⋊C₈	—	7	1	no	—
1196	C₄⋊C₈	—	7	1	no	—
1197	C₄⋊C₈	—	7	1	no	—
1198	C₄⋊C₈	—	7	1	no	—
1199	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1200	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1201	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1202	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1203	C₂²⋊C₈	—	7	1	no	—
1204	C₂²⋊C₈	—	7	1	no	—
1205	C₂²⋊C₈	—	7	1	no	—
1206	C₂²⋊C₈	—	7	1	no	—
1207	C₂²⋊C₈	—	7	1	no	—
1208	C₂²⋊C₈	—	7	1	no	—
1209	C₂²⋊C₈	—	7	1	no	—
1210	C₂²⋊C₈	—	7	1	no	—
1211	C₂²⋊C₈	—	7	1	no	—
1212	C₂²⋊C₈	—	7	1	no	—
1213	C₂²⋊C₈	—	7	1	no	—
1214	C₂²⋊C₈	—	7	1	no	—
1215	C₂²⋊C₈	—	7	1	no	—
1216	C₂²⋊C₈	—	7	1	no	—
1217	C₂²⋊C₈	—	7	1	no	—
1218	C₂²⋊C₈	—	7	1	no	—
1219	C₂²⋊C₈	—	7	1	no	—
1220	C₂²⋊C₈	—	7	1	no	—
1221	C₂²⋊C₈	—	7	1	no	—
1222	C₂²⋊C₈	—	7	1	no	—
1223	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1224	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1225	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1226	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1227	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1228	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1229	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1230	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1231	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1232	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1233	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1234	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1235	#97	—	7	1	no	—
1236	#97	—	7	1	no	—
1237	#97	—	7	1	no	—
1238	#97	—	7	1	no	—
1239	#97	—	7	1	no	—
1240	#97	—	7	1	no	—
1241	#97	—	7	1	no	—
1242	#97	—	7	1	no	—
1243	#97	—	7	1	no	—
1244	#97	—	7	1	no	—
1245	#97	—	7	1	no	—
1246	#97	—	7	1	no	—
1247	#97	—	7	1	no	—
1248	#97	—	7	1	no	—
1249	#97	—	7	1	no	—
1250	#97	—	7	1	no	—
1251	#97	C₂²×D₇	1	1	yes	characteristic
1252	#97	C₂²×D₇	1	1	yes	characteristic
1253	C₄×C₈	—	7	1	no	—
1254	C₄×C₈	—	7	1	no	—
1255	C₄×C₈	—	7	1	no	—
1256	C₄×C₈	—	7	1	no	—
1257	C₄×C₈	—	7	1	no	—
1258	C₄×C₈	—	7	1	no	—
1259	C₄×C₈	—	7	1	no	—
1260	C₄×C₈	—	7	1	no	—
1261	C₄×C₈	—	7	1	no	—
1262	C₄×C₈	—	7	1	no	—
1263	C₄×C₈	—	7	1	no	—
1264	C₄×C₈	—	7	1	no	—
1265	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1266	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1267	C₂²×C₇	—	2	1	no	—
1268	C₂²×C₇	—	2	1	no	—
1269	C₂²×C₇	—	2	1	no	—
1270	C₂²×C₇	—	2	1	no	—
1271	C₂²×C₇	—	2	1	no	—
1272	C₂²×C₇	—	2	1	no	—
1273	C₂²×C₇	—	2	1	no	—
1274	C₂²×C₇	—	2	1	no	—
1275	C₂²×C₇	—	2	1	no	—
1276	C₂²×C₇	—	2	1	no	—
1277	C₂²×C₇	—	2	1	no	—
1278	C₂²×C₇	—	2	1	no	—
1279	C₂²×C₇	—	2	1	no	—
1280	C₂²×C₇	—	2	1	no	—
1281	C₂²×C₇	—	2	1	no	—
1282	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1283	C₂×D₇	—	2	1	no	—
1284	C₂×D₇	—	2	1	no	—
1285	C₂×D₇	—	2	1	no	—
1286	C₂×D₇	—	2	1	no	—
1287	C₂×D₇	—	2	1	no	—
1288	C₂×D₇	—	2	1	no	—
1289	C₄×C₇	—	2	1	no	—
1290	C₄×C₇	—	2	1	no	—
1291	C₄×C₇	—	2	1	no	—
1292	C₄×C₇	—	2	1	no	—
1293	C₄×C₇	—	2	1	no	—
1294	C₄×C₇	—	2	1	no	—
1295	C₄×C₇	—	2	1	no	—
1296	C₄×C₇	—	2	1	no	—
1297	C₄×C₇	—	2	1	no	—
1298	C₄×C₇	#585	1	1	yes	characteristic
1299	C₄×C₇	#585	1	1	yes	characteristic
1300	Dic₇	—	2	1	no	—
1301	Dic₇	—	2	1	no	—
1302	Dic₇	—	2	1	no	—
1303	Dic₇	—	2	1	no	—
1304	Dic₇	—	2	1	no	—
1305	Dic₇	—	2	1	no	—
1306	Dic₇	—	2	1	no	—
1307	Dic₇	—	2	1	no	—
1308	Dic₇	—	2	1	no	—
1309	Dic₇	—	2	1	no	—
1310	Dic₇	—	2	1	no	—
1311	Dic₇	—	2	1	no	—
1312	Dic₇	—	2	1	no	—
1313	Dic₇	#568	1	2	yes	—
1314	#41	—	4	1	no	—
1315	#41	—	4	1	no	—
1316	#41	—	4	1	no	—
1317	#41	—	4	1	no	—
1318	#41	—	28	1	no	—
1319	#41	—	28	1	no	—
1320	#41	—	28	2	no	—
1321	#41	—	28	2	no	—
1322	C₂×Q₈	—	7	1	no	—
1323	C₂×Q₈	—	7	1	no	—
1324	C₂×Q₈	—	7	1	no	—
1325	C₂×Q₈	—	7	1	no	—
1326	C₂×Q₈	—	7	1	no	—
1327	C₂×Q₈	—	28	2	no	—
1328	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1329	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1330	C₂×D₄	—	7	1	no	—
1331	C₂×D₄	—	7	1	no	—
1332	C₂×D₄	—	7	1	no	—
1333	C₂×D₄	—	7	1	no	—
1334	C₂×D₄	—	7	1	no	—
1335	C₂×D₄	—	7	1	no	—
1336	C₂×D₄	—	7	1	no	—
1337	C₂×D₄	—	7	1	no	—
1338	C₂×D₄	—	7	1	no	—
1339	C₂×D₄	—	7	1	no	—
1340	C₂×D₄	—	7	1	no	—
1341	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1342	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1343	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1344	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1345	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1346	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1347	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1348	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1349	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1350	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1351	C₂²×C₄	—	7	1	no	—
1352	C₂²×C₄	—	7	1	no	—
1353	C₂²×C₄	—	7	1	no	—
1354	C₂²×C₄	—	7	1	no	—
1355	C₂²×C₄	—	7	1	no	—
1356	C₂²×C₄	—	7	1	no	—
1357	C₂²×C₄	—	7	1	no	—
1358	C₂²×C₄	—	7	1	no	—
1359	C₂²×C₄	—	7	1	no	—
1360	C₂²×C₄	—	7	1	no	—
1361	C₂²×C₄	—	7	1	no	—
1362	C₂²×C₄	—	7	1	no	—
1363	C₂²×C₄	—	7	1	no	—
1364	C₂²×C₄	—	7	1	no	—
1365	C₂²×C₄	—	7	1	no	—
1366	C₂²×C₄	—	7	1	no	—
1367	C₂²×C₄	—	7	1	no	—
1368	C₂²×C₄	—	7	1	no	—
1369	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1370	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1371	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1373	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1374	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1375	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1376	M₁₆	—	4	1	no	—
1377	M₁₆	—	4	1	no	—
1378	M₁₆	—	4	1	no	—
1379	M₁₆	—	4	1	no	—
1380	M₁₆	—	28	1	no	—
1381	M₁₆	—	28	1	no	—
1382	M₁₆	—	28	1	no	—
1383	M₁₆	—	28	1	no	—
1384	M₁₆	—	28	1	no	—
1385	M₁₆	—	28	1	no	—
1386	M₁₆	—	28	1	no	—
1387	M₁₆	—	28	1	no	—
1388	C₂×C₈	—	4	1	no	—
1389	C₂×C₈	—	4	1	no	—
1390	C₂×C₈	—	4	1	no	—
1391	C₂×C₈	—	4	1	no	—
1392	C₂×C₈	—	7	1	no	—
1393	C₂×C₈	—	7	1	no	—
1394	C₂×C₈	—	7	1	no	—
1395	C₂×C₈	—	7	1	no	—
1396	C₂×C₈	—	7	1	no	—
1397	C₂×C₈	—	7	1	no	—
1398	C₂×C₈	—	7	1	no	—
1399	C₂×C₈	—	7	1	no	—
1400	C₂×C₈	—	28	1	no	—
1401	C₂×C₈	—	28	1	no	—
1402	C₂×C₈	—	28	1	no	—
1403	C₂×C₈	—	28	1	no	—
1404	C₂×C₈	—	28	1	no	—
1405	C₂×C₈	—	28	1	no	—
1406	C₂×C₈	—	28	1	no	—
1407	C₂×C₈	—	28	1	no	—
1408	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1409	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1410	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1411	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1412	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1413	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1414	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1415	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1416	C₄⋊C₄	—	7	1	no	—
1417	C₄⋊C₄	—	7	1	no	—
1418	C₄⋊C₄	—	7	1	no	—
1419	C₄⋊C₄	—	7	1	no	—
1420	C₄⋊C₄	—	7	1	no	—
1421	C₄⋊C₄	—	7	1	no	—
1422	C₄⋊C₄	—	7	1	no	—
1423	C₄⋊C₄	—	7	1	no	—
1424	C₄⋊C₄	—	7	1	no	—
1425	C₄⋊C₄	—	7	1	no	—
1426	C₄⋊C₄	—	7	1	no	—
1427	C₄⋊C₄	—	7	1	no	—
1428	C₄⋊C₄	—	7	1	no	—
1429	C₄⋊C₄	—	7	1	no	—
1430	C₄⋊C₄	—	7	1	no	—
1431	C₄⋊C₄	—	7	1	no	—
1432	C₄⋊C₄	—	7	1	no	—
1433	C₄⋊C₄	—	7	1	no	—
1434	C₄⋊C₄	—	7	1	no	—
1435	C₄⋊C₄	—	7	1	no	—
1436	C₄⋊C₄	—	7	1	no	—
1437	C₄⋊C₄	—	7	1	no	—
1438	C₄⋊C₄	—	7	1	no	—
1439	C₄⋊C₄	—	7	1	no	—
1440	C₄⋊C₄	—	7	1	no	—
1441	C₄⋊C₄	—	7	1	no	—
1442	C₄⋊C₄	—	7	1	no	—
1443	C₄⋊C₄	—	7	1	no	—
1444	C₄⋊C₄	—	7	1	no	—
1445	C₄⋊C₄	—	7	1	no	—
1446	C₄⋊C₄	—	7	1	no	—
1447	C₄⋊C₄	—	7	1	no	—
1448	C₄⋊C₄	—	7	1	no	—
1449	C₄⋊C₄	—	7	1	no	—
1450	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1453	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1454	C₂²⋊C₄	—	7	1	no	—
1455	C₂²⋊C₄	—	7	1	no	—
1456	C₂²⋊C₄	—	7	1	no	—
1457	C₂²⋊C₄	—	7	1	no	—
1458	C₂²⋊C₄	—	7	1	no	—
1459	C₂²⋊C₄	—	7	1	no	—
1460	C₂²⋊C₄	—	7	1	no	—
1461	C₂²⋊C₄	—	7	1	no	—
1462	C₂²⋊C₄	—	7	1	no	—
1463	C₂²⋊C₄	—	7	1	no	—
1464	C₂²⋊C₄	—	7	1	no	—
1465	C₂²⋊C₄	—	7	1	no	—
1466	C₂²⋊C₄	—	7	1	no	—
1467	C₂²⋊C₄	—	7	1	no	—
1468	C₂²⋊C₄	—	7	1	no	—
1469	C₂²⋊C₄	—	7	1	no	—
1470	C₂²⋊C₄	—	7	1	no	—
1471	C₂²⋊C₄	—	7	1	no	—
1472	C₂²⋊C₄	—	7	1	no	—
1473	C₂²⋊C₄	—	7	1	no	—
1474	C₂²⋊C₄	—	7	1	no	—
1475	C₂²⋊C₄	—	7	1	no	—
1476	C₂²⋊C₄	—	7	1	no	—
1477	C₂²⋊C₄	—	7	1	no	—
1478	C₂²⋊C₄	—	7	1	no	—
1479	C₂²⋊C₄	—	7	1	no	—
1480	C₂²⋊C₄	—	7	1	no	—
1481	C₂²⋊C₄	—	7	1	no	—
1482	C₂²⋊C₄	—	7	1	no	—
1483	C₂²⋊C₄	—	7	1	no	—
1484	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1485	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1486	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1487	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1488	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1489	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1490	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1491	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1492	C₄²	—	7	1	no	—
1493	C₄²	—	7	1	no	—
1494	C₄²	—	7	1	no	—
1495	C₄²	—	7	1	no	—
1496	C₄²	—	7	1	no	—
1497	C₄²	—	7	1	no	—
1498	C₄²	—	7	1	no	—
1499	C₄²	—	7	1	no	—
1500	C₄²	—	7	1	no	—
1501	C₄²	—	7	1	no	—
1502	C₄²	—	7	1	no	—
1503	C₄²	—	7	1	no	—
1504	C₄²	—	7	1	no	—
1505	C₄²	—	7	1	no	—
1506	C₄²	—	7	1	no	—
1507	C₄²	—	7	1	no	—
1508	C₄²	—	7	1	no	—
1509	C₄²	—	7	1	no	—
1510	C₄²	—	7	1	no	—
1511	C₄²	—	7	1	no	—
1512	C₄²	—	7	1	no	—
1513	C₄²	—	7	1	no	—
1514	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1515	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1516	C₄²	C₂³×D₇	1	1	yes	characteristic
1517	C₄²	C₂³×D₇	1	1	yes	characteristic
1518	C₂×C₇	—	4	1	no	—
1519	C₂×C₇	—	4	1	no	—
1520	C₂×C₇	—	4	1	no	—
1521	C₂×C₇	—	4	1	no	—
1522	C₂×C₇	—	4	1	no	—
1523	C₂×C₇	#3428	1	1	yes	characteristic
1524	C₂×C₇	C₂×#568	1	1	yes	characteristic
1525	C₂×C₇	#3573	1	1	yes	characteristic
1526	D₇	—	4	1	no	—
1527	D₇	—	4	1	no	—
1528	C₂³	—	7	1	no	—
1529	C₂³	—	7	1	no	—
1530	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1531	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1532	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1533	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1534	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1535	Q₈	—	4	1	no	—
1536	Q₈	—	4	1	no	—
1537	Q₈	—	14	2	no	—
1538	Q₈	—	14	2	no	—
1539	Q₈	—	28	1	no	—
1540	Q₈	—	28	1	no	—
1541	Q₈	—	28	1	no	—
1542	D₄	—	4	1	no	—
1543	D₄	—	4	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	1	no	—
1546	D₄	—	4	1	no	—
1547	D₄	—	4	1	no	—
1548	D₄	—	4	1	no	—
1549	D₄	—	4	1	no	—
1550	D₄	—	4	1	no	—
1551	D₄	—	4	1	no	—
1552	D₄	—	14	2	no	—
1553	D₄	—	14	2	no	—
1554	D₄	—	28	1	no	—
1555	D₄	—	28	1	no	—
1556	D₄	—	28	1	no	—
1557	D₄	—	28	1	no	—
1558	D₄	—	28	1	no	—
1559	D₄	—	28	1	no	—
1560	D₄	—	28	1	no	—
1561	D₄	—	28	1	no	—
1562	D₄	—	28	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	4	1	no	—
1574	C₂×C₄	—	4	1	no	—
1575	C₂×C₄	—	7	1	no	—
1576	C₂×C₄	—	7	1	no	—
1577	C₂×C₄	—	7	1	no	—
1578	C₂×C₄	—	7	1	no	—
1579	C₂×C₄	—	7	1	no	—
1580	C₂×C₄	—	7	1	no	—
1581	C₂×C₄	—	7	1	no	—
1582	C₂×C₄	—	7	1	no	—
1583	C₂×C₄	—	7	1	no	—
1584	C₂×C₄	—	7	1	no	—
1585	C₂×C₄	—	7	1	no	—
1586	C₂×C₄	—	7	1	no	—
1587	C₂×C₄	—	7	1	no	—
1588	C₂×C₄	—	7	1	no	—
1589	C₂×C₄	—	14	2	no	—
1590	C₂×C₄	—	14	2	no	—
1591	C₂×C₄	—	14	2	no	—
1592	C₂×C₄	—	14	1	no	—
1593	C₂×C₄	—	14	1	no	—
1594	C₂×C₄	—	14	1	no	—
1595	C₂×C₄	—	14	1	no	—
1596	C₂×C₄	—	28	1	no	—
1597	C₂×C₄	—	28	1	no	—
1598	C₂×C₄	—	28	1	no	—
1599	C₂×C₄	—	28	1	no	—
1600	C₂×C₄	—	28	1	no	—
1601	C₂×C₄	—	28	1	no	—
1602	C₂×C₄	—	28	1	no	—
1603	C₂×C₄	—	28	1	no	—
1604	C₂×C₄	—	28	1	no	—
1605	C₂×C₄	—	28	1	no	—
1606	C₂×C₄	—	28	1	no	—
1607	C₂×C₄	—	28	1	no	—
1608	C₂×C₄	—	28	1	no	—
1609	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1610	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1611	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1612	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1613	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1614	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1615	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1616	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1617	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1618	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1619	C₈	—	2	1	no	—
1620	C₈	—	2	1	no	—
1621	C₈	—	2	1	no	—
1622	C₈	—	2	1	no	—
1623	C₈	—	2	1	no	—
1624	C₈	—	2	1	no	—
1625	C₈	—	2	1	no	—
1626	C₈	—	2	1	no	—
1627	C₈	—	14	1	no	—
1628	C₈	—	14	1	no	—
1629	C₈	—	14	1	no	—
1630	C₈	—	14	1	no	—
1631	C₈	—	14	1	no	—
1632	C₈	—	14	1	no	—
1633	C₈	—	14	1	no	—
1634	C₈	—	14	1	no	—
1635	C₇	#60302	1	1	yes	characteristic, complemented, Sylow
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	2	1	no	—
1649	C₂²	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	14	1	no	—
1652	C₂²	—	14	1	no	—
1653	C₂²	—	14	1	no	—
1654	C₂²	—	14	1	no	—
1655	C₂²	—	14	1	no	—
1656	C₂²	—	14	1	no	—
1657	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	7	2	no	—
1668	C₄	—	14	1	no	—
1669	C₄	—	14	1	no	—
1670	C₄	—	14	1	no	—
1671	C₄	—	14	1	no	—
1672	C₄	—	14	1	no	—
1673	C₄	—	14	1	no	—
1674	C₄	—	14	1	no	—
1675	C₄	—	14	1	no	—
1676	C₄	—	14	1	no	—
1677	C₄	—	14	1	no	—
1678	C₄	—	14	1	no	—
1679	C₄	—	14	1	no	—
1680	C₄	—	14	1	no	—
1681	C₄	#90618	1	1	yes	characteristic
1682	C₄	#90618	1	1	yes	characteristic
1683	C₂	—	4	1	no	—
1684	C₂	—	4	1	no	—
1685	C₂	—	4	1	no	—
1686	C₂	—	4	1	no	—
1687	C₂	—	4	1	no	—
1688	C₂	—	28	1	no	—
1689	C₂	—	28	1	no	—
1690	C₂	#11742924	1	1	yes	characteristic
1691	C₂	#11744228	1	1	yes	characteristic
1692	C₂	D₇×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2981	C₂
prime radical	#11743288	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2981	D₇
hypocenter	C₇	#60302
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2981

Complements

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

N	H ≅ G/N	type
2. C₇×#2981	C₂	semidirect
3. #11740724	C₂	semidirect
4. #11736973	C₂	semidirect
5. #11736970	C₂	semidirect
6. #11736965	C₂	semidirect
7. #11736964	C₂	semidirect
8. #11736913	C₂	semidirect
9. #11736909	C₂	semidirect
10. #11736907	C₂	semidirect
11. #11736906	C₂	semidirect
12. #11736905	C₂	semidirect
13. #11736903	C₂	semidirect
14. #11736901	C₂	semidirect
15. #11736898	C₂	semidirect
16. #11736854	C₂	semidirect
17. #11736852	C₂	semidirect
18. #11736847	C₂	semidirect
19. #11736845	C₂	semidirect
20. #11736777	C₂	semidirect
21. #11736759	C₂	semidirect
22. #11736730	C₂	semidirect
23. #11736710	C₂	semidirect
24. #11736114	C₂	semidirect
25. #11736114	C₂	semidirect
26. #11736113	C₂	semidirect
27. #11736112	C₂	semidirect
28. #11736095	C₂	semidirect
29. #11736095	C₂	semidirect
30. #11736094	C₂	semidirect
31. #11736093	C₂	semidirect
492. #2981	D₇	semidirect
1635. C₇	#60302	semidirect

Maximal subgroups

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

subgroup	index
#11743288	2
C₇×#2981	2
#11740724	2
#11736973	2
#11736970	2
#11736965	2
#11736964	2
#11736913	2
#11736909	2
#11736907	2
#11736906	2
#11736905	2
#11736903	2
#11736901	2
#11736898	2
#11736854	2
#11736852	2
#11736847	2
#11736845	2
#11736777	2
#11736759	2
#11736730	2
#11736710	2
#11736114	2
#11736113	2
#11736112	2
#11736095	2
#11736094	2
#11736093	2
#60302	7