Subgroups — #14218503

Order 1792.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743220	C₂	1	1	yes	maximal, characteristic
2	C₇×#2968	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740572	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737407	C₂	1	1	yes	maximal, characteristic, complemented
5	D₇×#446	C₂	1	1	yes	maximal, characteristic, complemented
6	#11737386	C₂	1	1	yes	maximal, characteristic, complemented
7	#11737385	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736929	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736929	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736925	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736925	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736905	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736904	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736900	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736898	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736870	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736867	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	#11736820	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736820	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736812	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736811	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736730	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736723	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736004	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736003	C₂	1	1	yes	maximal, characteristic, complemented
28	#11735995	C₂	1	1	yes	maximal, characteristic, complemented
29	#11735994	C₂	1	1	yes	maximal, characteristic, complemented
30	#11735931	C₂	1	1	yes	maximal, characteristic, complemented
31	#11735927	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#529	C₂²	1	1	yes	characteristic
33	C₂×#6470	C₂²	1	1	yes	characteristic
34	C₂×#6470	C₂²	1	1	yes	characteristic
35	C₂×#6464	C₂²	1	1	yes	characteristic
36	C₂×#6464	C₂²	1	1	yes	characteristic
37	C₂×#6464	C₂²	1	1	yes	characteristic
38	C₂×#6464	C₂²	1	1	yes	characteristic
39	#90400	C₄	1	1	yes	characteristic
40	#90400	C₄	1	1	yes	characteristic
41	#90393	C₄	1	1	yes	characteristic
42	#90393	C₄	1	1	yes	characteristic
43	#90386	C₄	1	1	yes	characteristic
44	#90376	C₄	1	1	yes	characteristic
45	#90372	C₄	1	1	yes	characteristic
46	#90368	C₄	1	1	yes	characteristic
47	#90355	C₄	1	1	yes	characteristic
48	#90355	C₄	1	1	yes	characteristic
49	#90352	C₄	1	1	yes	characteristic
50	#90352	C₄	1	1	yes	characteristic
51	#90332	C₄	1	1	yes	characteristic
52	#90324	C₄	1	1	yes	characteristic
53	#90305	C₄	1	1	yes	characteristic
54	#90290	C₄	1	1	yes	characteristic
55	#90271	C₂²	1	1	yes	characteristic
56	C₄×Q₈×D₇	C₂²	1	1	yes	characteristic
57	#90239	C₂²	1	1	yes	characteristic
58	#90239	C₂²	1	1	yes	characteristic
59	#90239	C₂²	1	1	yes	characteristic
60	#90229	C₂²	1	1	yes	characteristic
61	#90229	C₂²	1	1	yes	characteristic
62	C₄×#1159	C₂²	1	1	yes	characteristic
63	#90219	C₂²	1	1	yes	characteristic
64	#90219	C₂²	1	1	yes	characteristic
65	#90213	C₂²	1	1	yes	characteristic
66	#90213	C₂²	1	1	yes	characteristic
67	C₄×#1157	C₂²	1	1	yes	characteristic
68	C₄×#1157	C₂²	1	1	yes	characteristic
69	C₇×#446	C₂²	1	1	yes	characteristic
70	C₇×#446	C₂²	1	1	yes	characteristic
71	C₇×#435	C₂²	1	1	yes	characteristic
72	C₇×#435	C₂²	1	1	yes	characteristic
73	C₇×#435	C₂²	1	1	yes	characteristic
74	C₇×#435	C₂²	1	1	yes	characteristic
75	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
76	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
77	C₇×#433	C₂²	1	1	yes	characteristic
78	C₇×#433	C₂²	1	1	yes	characteristic
79	C₇×#431	C₂²	1	1	yes	characteristic
80	C₇×#405	C₂²	1	1	yes	characteristic
81	C₇×#405	C₂²	1	1	yes	characteristic
82	C₂×C₇×#97	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	M₁₆×Dic₇	C₂²	1	1	yes	characteristic
88	M₁₆×Dic₇	C₂²	1	1	yes	characteristic
89	#89883	C₂²	1	1	yes	characteristic
90	#89883	C₂²	1	1	yes	characteristic
91	#89883	C₂²	1	1	yes	characteristic
92	#89883	C₂²	1	1	yes	characteristic
93	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
94	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
95	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
96	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
97	#89873	C₂²	1	1	yes	characteristic
98	#89873	C₂²	1	1	yes	characteristic
99	C₂×#6389	C₂²	1	1	yes	characteristic
100	C₂×C₈×Dic₇	C₂²	1	1	yes	characteristic
101	#89796	C₂²	1	1	yes	characteristic
102	#89796	C₂²	1	1	yes	characteristic
103	#89784	C₂²	1	1	yes	characteristic
104	#89784	C₂²	1	1	yes	characteristic
105	#89783	C₂²	1	1	yes	characteristic
106	#89783	C₂²	1	1	yes	characteristic
107	#89783	C₂²	1	1	yes	characteristic
108	#89783	C₂²	1	1	yes	characteristic
109	#89772	C₂²	1	1	yes	characteristic
110	#89772	C₂²	1	1	yes	characteristic
111	#89769	C₂²	1	1	yes	characteristic
112	#89769	C₂²	1	1	yes	characteristic
113	#89698	C₂²	1	1	yes	characteristic
114	C₄×#1136	C₂²	1	1	yes	characteristic
115	#89612	C₂²	1	1	yes	characteristic
116	#89612	C₂²	1	1	yes	characteristic
117	#89612	C₂²	1	1	yes	characteristic
118	#89612	C₂²	1	1	yes	characteristic
119	#89610	C₂²	1	1	yes	characteristic
120	#89609	C₂²	1	1	yes	characteristic
121	#89609	C₂²	1	1	yes	characteristic
122	#89609	C₂²	1	1	yes	characteristic
123	#89608	C₂²	1	1	yes	characteristic
124	#89608	C₂²	1	1	yes	characteristic
125	#89608	C₂²	1	1	yes	characteristic
126	#89608	C₂²	1	1	yes	characteristic
127	#89607	C₂²	1	1	yes	characteristic
128	#89606	C₂²	1	1	yes	characteristic
129	#89605	C₂²	1	1	yes	characteristic
130	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
131	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
132	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
133	#89603	C₂²	1	1	yes	characteristic
134	#89602	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	#89501	C₂²	1	1	yes	characteristic
142	#89501	C₂²	1	1	yes	characteristic
143	#89501	C₂²	1	1	yes	characteristic
144	#89501	C₂²	1	1	yes	characteristic
145	#89500	C₂²	1	1	yes	characteristic
146	#89500	C₂²	1	1	yes	characteristic
147	#89500	C₂²	1	1	yes	characteristic
148	#89500	C₂²	1	1	yes	characteristic
149	#89499	C₂²	1	1	yes	characteristic
150	#89499	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	#89492	C₂²	1	1	yes	characteristic
158	#89492	C₂²	1	1	yes	characteristic
159	#89491	C₂²	1	1	yes	characteristic
160	#89491	C₂²	1	1	yes	characteristic
161	#89490	C₂²	1	1	yes	characteristic
162	#89490	C₂²	1	1	yes	characteristic
163	#89480	C₂²	1	1	yes	characteristic
164	#89480	C₂²	1	1	yes	characteristic
165	#89480	C₂²	1	1	yes	characteristic
166	#89480	C₂²	1	1	yes	characteristic
167	#89480	C₂²	1	1	yes	characteristic
168	#89480	C₂²	1	1	yes	characteristic
169	#89479	C₂²	1	1	yes	characteristic
170	#89479	C₂²	1	1	yes	characteristic
171	#89479	C₂²	1	1	yes	characteristic
172	#89479	C₂²	1	1	yes	characteristic
173	#89478	C₂²	1	1	yes	characteristic
174	#89478	C₂²	1	1	yes	characteristic
175	#89478	C₂²	1	1	yes	characteristic
176	#89478	C₂²	1	1	yes	characteristic
177	#89477	C₂²	1	1	yes	characteristic
178	#89477	C₂²	1	1	yes	characteristic
179	D₇×#97	C₂²	1	1	yes	characteristic
180	D₇×#97	C₂²	1	1	yes	characteristic
181	D₇×#97	C₂²	1	1	yes	characteristic
182	D₇×#97	C₂²	1	1	yes	characteristic
183	#89473	C₂²	1	1	yes	characteristic
184	#89473	C₂²	1	1	yes	characteristic
185	#89473	C₂²	1	1	yes	characteristic
186	#89473	C₂²	1	1	yes	characteristic
187	#89462	C₂²	1	1	yes	characteristic
188	#89462	C₂²	1	1	yes	characteristic
189	#89461	C₂²	1	1	yes	characteristic
190	#89461	C₂²	1	1	yes	characteristic
191	#89461	C₂²	1	1	yes	characteristic
192	#89461	C₂²	1	1	yes	characteristic
193	#89460	C₂²	1	1	yes	characteristic
194	C₄×#1131	C₂²	1	1	yes	characteristic
195	C₄×#1131	C₂²	1	1	yes	characteristic
196	C₈×D₂₈	C₂²	1	1	yes	characteristic
197	#89457	C₂²	1	1	yes	characteristic
198	#89457	C₂²	1	1	yes	characteristic
199	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
200	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
201	#89451	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₄	C₂²	1	1	yes	characteristic
203	#60219	—	7	1	no	maximal, Sylow
204	C₂×Q₈×D₇	C₂×C₄	1	1	yes	characteristic
205	C₂×#1159	C₂×C₄	1	1	yes	characteristic
206	C₂×#1157	C₂×C₄	1	1	yes	characteristic
207	C₂×#1157	C₂³	1	1	yes	characteristic
208	C₂×#1157	C₂³	1	1	yes	characteristic
209	C₂×#1157	C₂³	1	1	yes	characteristic
210	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
212	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
213	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
214	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
215	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
216	C₇×#126	C₂×C₄	1	1	yes	characteristic
217	C₇×#126	C₂×C₄	1	1	yes	characteristic
218	C₇×#125	C₂×C₄	1	1	yes	characteristic
219	C₇×#124	C₂×C₄	1	1	yes	characteristic
220	C₇×#123	C₂×C₄	1	1	yes	characteristic
221	C₇×#123	C₂×C₄	1	1	yes	characteristic
222	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
223	C₇×#121	C₂×C₄	1	1	yes	characteristic
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
226	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
227	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₇×#117	C₂³	1	1	yes	characteristic
229	C₇×#117	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
231	#6510	C₂×C₄	1	1	yes	characteristic
232	#6509	C₂×C₄	1	1	yes	characteristic
233	Q₈×Dic₇	C₂×C₄	1	1	yes	characteristic
234	#6503	C₂×C₄	1	1	yes	characteristic
235	#6503	C₂×C₄	1	1	yes	characteristic
236	#6503	C₂×C₄	1	1	yes	characteristic
237	#6502	C₂×C₄	1	1	yes	characteristic
238	#6502	C₂×C₄	1	1	yes	characteristic
239	#6501	C₂×C₄	1	1	yes	characteristic
240	#6501	C₂×C₄	1	1	yes	characteristic
241	#6501	C₂×C₄	1	1	yes	characteristic
242	#6498	C₂×C₄	1	1	yes	characteristic
243	#6498	C₂×C₄	1	1	yes	characteristic
244	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
245	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
246	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
247	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
248	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
249	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
250	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
251	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
252	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
253	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
254	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
255	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
256	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
257	#6489	C₂×C₄	1	1	yes	characteristic
258	#6489	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
261	C₂×#1136	C₂³	1	1	yes	characteristic
262	C₂×#1136	C₂³	1	1	yes	characteristic
263	C₂×#1136	C₂³	1	1	yes	characteristic
264	C₂×#1136	C₂³	1	1	yes	characteristic
265	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
266	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
267	#6470	—	2	4	no	—
268	#6470	—	2	4	no	—
269	#6464	—	2	4	no	—
270	#6464	—	2	4	no	—
271	#6464	—	2	4	no	—
272	#6464	—	2	4	no	—
273	C₂×#1131	C₂³	1	1	yes	characteristic
274	C₂×#1131	C₂³	1	1	yes	characteristic
275	C₂×#1131	C₂³	1	1	yes	characteristic
276	C₂×#1131	C₂³	1	1	yes	characteristic
277	C₂×#1131	C₂³	1	1	yes	characteristic
278	C₂×#1131	C₂³	1	1	yes	characteristic
279	C₂×#1131	C₂³	1	1	yes	characteristic
280	C₂×#1131	C₂³	1	1	yes	characteristic
281	C₂×#1131	C₂³	1	1	yes	characteristic
282	C₂×#1131	C₂³	1	1	yes	characteristic
283	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
284	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
285	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
293	#6461	C₂×C₄	1	1	yes	characteristic
294	#6461	C₂×C₄	1	1	yes	characteristic
295	#6461	C₂×C₄	1	1	yes	characteristic
296	#6461	C₂×C₄	1	1	yes	characteristic
297	#6461	C₂×C₄	1	1	yes	characteristic
298	#6461	C₂×C₄	1	1	yes	characteristic
299	#6459	C₂×C₄	1	1	yes	characteristic
300	#6459	C₂×C₄	1	1	yes	characteristic
301	#6458	C₂×C₄	1	1	yes	characteristic
302	#6458	C₂×C₄	1	1	yes	characteristic
303	#6458	C₂×C₄	1	1	yes	characteristic
304	#6458	C₂×C₄	1	1	yes	characteristic
305	#6457	C₂×C₄	1	1	yes	characteristic
306	#6457	C₂×C₄	1	1	yes	characteristic
307	#6457	C₂×C₄	1	1	yes	characteristic
308	#6457	C₂×C₄	1	1	yes	characteristic
309	#6456	C₂×C₄	1	1	yes	characteristic
310	#6456	C₂×C₄	1	1	yes	characteristic
311	#6456	C₂×C₄	1	1	yes	characteristic
312	#6456	C₂×C₄	1	1	yes	characteristic
313	#6455	C₂×C₄	1	1	yes	characteristic
314	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
315	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
316	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
317	#6453	C₂×C₄	1	1	yes	characteristic
318	#6452	C₂×C₄	1	1	yes	characteristic
319	#6452	C₂×C₄	1	1	yes	characteristic
320	#6452	C₂×C₄	1	1	yes	characteristic
321	#6452	C₂×C₄	1	1	yes	characteristic
322	#6451	C₂×C₄	1	1	yes	characteristic
323	#6451	C₂×C₄	1	1	yes	characteristic
324	#6451	C₂×C₄	1	1	yes	characteristic
325	#6450	C₂×C₄	1	1	yes	characteristic
326	#6450	C₂×C₄	1	1	yes	characteristic
327	#6450	C₂×C₄	1	1	yes	characteristic
328	#6450	C₂×C₄	1	1	yes	characteristic
329	#6450	C₂×C₄	1	1	yes	characteristic
330	#6450	C₂×C₄	1	1	yes	characteristic
331	#6450	C₂×C₄	1	1	yes	characteristic
332	#6450	C₂×C₄	1	1	yes	characteristic
333	#6449	C₂×C₄	1	1	yes	characteristic
334	#6449	C₂×C₄	1	1	yes	characteristic
335	#6448	C₂×C₄	1	1	yes	characteristic
336	#6448	C₂×C₄	1	1	yes	characteristic
337	#6448	C₂×C₄	1	1	yes	characteristic
338	#6448	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	#6448	C₂×C₄	1	1	yes	characteristic
344	#6448	C₂×C₄	1	1	yes	characteristic
345	#6447	C₂×C₄	1	1	yes	characteristic
346	#6447	C₂×C₄	1	1	yes	characteristic
347	#6447	C₂×C₄	1	1	yes	characteristic
348	#6447	C₂×C₄	1	1	yes	characteristic
349	#6447	C₂×C₄	1	1	yes	characteristic
350	#6447	C₂×C₄	1	1	yes	characteristic
351	#6447	C₂×C₄	1	1	yes	characteristic
352	#6447	C₂×C₄	1	1	yes	characteristic
353	#6446	C₂×C₄	1	1	yes	characteristic
354	#6446	C₂×C₄	1	1	yes	characteristic
355	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
356	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
357	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
358	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
359	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
360	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
361	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
362	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
363	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
364	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
365	#6442	C₂×C₄	1	1	yes	characteristic
366	#6442	C₂×C₄	1	1	yes	characteristic
367	#6442	C₂×C₄	1	1	yes	characteristic
368	#6442	C₂×C₄	1	1	yes	characteristic
369	#6441	C₂×C₄	1	1	yes	characteristic
370	#6441	C₂×C₄	1	1	yes	characteristic
371	#6440	C₂×C₄	1	1	yes	characteristic
372	#6440	C₂×C₄	1	1	yes	characteristic
373	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
374	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
375	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
376	C₄×D₂₈	C₂³	1	1	yes	characteristic
377	C₄×D₂₈	C₂³	1	1	yes	characteristic
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	#6435	C₂×C₄	1	1	yes	characteristic
380	#6435	C₂×C₄	1	1	yes	characteristic
381	#6435	C₂³	1	1	yes	characteristic
382	#6435	C₂³	1	1	yes	characteristic
383	#6435	C₂³	1	1	yes	characteristic
384	#6435	C₂³	1	1	yes	characteristic
385	C₄²×D₇	C₂³	1	1	yes	characteristic
386	C₄²×D₇	C₂³	1	1	yes	characteristic
387	C₄²×D₇	C₂³	1	1	yes	characteristic
388	C₄²×D₇	C₂³	1	1	yes	characteristic
389	C₄²×D₇	C₂³	1	1	yes	characteristic
390	C₄²×D₇	C₂³	1	1	yes	characteristic
391	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
392	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
393	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
394	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
396	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
397	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
404	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
405	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
406	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
407	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
408	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
409	C₇×#97	C₂³	1	1	yes	characteristic
410	C₇×#97	C₂³	1	1	yes	characteristic
411	C₇×#97	C₂³	1	1	yes	characteristic
412	C₇×#97	C₂³	1	1	yes	characteristic
413	C₇×#97	C₂³	1	1	yes	characteristic
414	C₇×#97	C₂³	1	1	yes	characteristic
415	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
416	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
417	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
418	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
419	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
420	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
424	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
425	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
426	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
427	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
428	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
429	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
430	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
431	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
432	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
433	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
434	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
435	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
436	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
437	#6389	C₂³	1	1	yes	characteristic
438	#6389	C₂³	1	1	yes	characteristic
439	#6389	C₂³	1	1	yes	characteristic
440	#6389	C₂³	1	1	yes	characteristic
441	#6389	C₂³	1	1	yes	characteristic
442	#6389	C₂³	1	1	yes	characteristic
443	#6389	C₂³	1	1	yes	characteristic
444	#6389	C₂³	1	1	yes	characteristic
445	#6389	C₂³	1	1	yes	characteristic
446	#6389	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	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	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	#6377	C₂³	1	1	yes	characteristic
480	#6377	C₂³	1	1	yes	characteristic
481	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
482	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
483	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
485	#3480	—	7	1	no	—
486	#2970	—	7	1	no	—
487	#2970	—	7	1	no	—
488	#2969	—	7	1	no	—
489	#2969	—	7	1	no	—
490	#2968	—	7	1	no	—
491	#2968	—	7	1	no	—
492	#2968	—	7	1	no	—
493	#2968	D₇	1	1	yes	characteristic, complemented
494	#2967	—	7	1	no	—
495	#2967	—	7	1	no	—
496	#2967	—	7	1	no	—
497	#2967	—	7	1	no	—
498	#2966	—	7	1	no	—
499	#2966	—	7	1	no	—
500	#2965	—	7	1	no	—
501	#2965	—	7	1	no	—
502	Q₈×M₁₆	—	7	1	no	—
503	C₂×#446	—	7	1	no	—
504	#2935	—	7	1	no	—
505	#2935	—	7	1	no	—
506	#2935	—	7	1	no	—
507	#2932	—	7	1	no	—
508	#2932	—	7	1	no	—
509	#2931	—	7	1	no	—
510	#2925	—	7	1	no	—
511	#2925	—	7	1	no	—
512	#2925	—	7	1	no	—
513	#2875	—	7	1	no	—
514	#2875	—	7	1	no	—
515	C₄×#131	—	7	1	no	—
516	C₂×C₇×Q₈	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	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
521	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
522	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
525	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₇	C₂²×C₄	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	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
538	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
539	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
540	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
541	Q₈×D₇	—	4	2	no	—
542	#1159	—	4	2	no	—
543	#1157	—	2	2	no	—
544	#1157	—	2	2	no	—
545	#1157	—	2	2	no	—
546	#1157	—	2	2	no	—
547	#1157	—	2	2	no	—
548	#1157	—	2	2	no	—
549	#1157	—	4	2	no	—
550	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
551	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
552	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
553	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
554	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
555	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₄×D₇	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	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
573	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
574	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
575	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
576	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
577	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
578	C₇×M₁₆	—	2	2	no	—
579	C₇×M₁₆	—	2	2	no	—
580	C₂×C₇×C₈	—	2	2	no	—
581	C₂×C₇×C₈	—	2	2	no	—
582	C₂×C₇×C₈	—	2	2	no	—
583	C₂×C₇×C₈	—	2	2	no	—
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	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
592	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
613	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
614	C₄²×C₇	C₂⁴	1	1	yes	characteristic
615	C₄²×C₇	C₂⁴	1	1	yes	characteristic
616	C₄²×C₇	C₂⁴	1	1	yes	characteristic
617	C₄²×C₇	C₂⁴	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	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
623	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
624	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
625	C₂²⋊Dic₇	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	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	(C₂×D₇)⋊C₄	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	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
651	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
652	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
653	C₄⋊Dic₇	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	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	Dic₇⋊C₄	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	C₂²×C₄	1	1	yes	characteristic
685	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
686	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
687	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
688	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
689	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
690	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
694	#1136	—	2	2	no	—
695	#1136	—	2	2	no	—
696	#1136	—	2	2	no	—
697	#1136	—	2	2	no	—
698	C₂×C₇⋊C₈	—	2	2	no	—
699	C₂×C₇⋊C₈	—	2	2	no	—
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	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
707	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
708	#1131	—	2	2	no	—
709	#1131	—	2	2	no	—
710	#1131	—	2	2	no	—
711	#1131	—	2	2	no	—
712	#1131	—	2	2	no	—
713	#1131	—	2	2	no	—
714	#1131	—	2	2	no	—
715	#1131	—	2	2	no	—
716	#1131	—	2	2	no	—
717	#1131	#41	1	4	yes	complemented
718	C₈×D₇	—	2	2	no	—
719	C₈×D₇	—	2	2	no	—
720	C₈×D₇	—	2	2	no	—
721	C₈×D₇	—	2	2	no	—
722	C₈×D₇	—	2	2	no	—
723	C₈×D₇	—	2	2	no	—
724	C₈×D₇	—	2	2	no	—
725	C₈×D₇	—	2	2	no	—
726	C₈×D₇	—	2	2	no	—
727	C₈×D₇	#41	1	4	yes	complemented
728	C₂×#131	—	7	1	no	—
729	C₂×#131	—	7	1	no	—
730	C₂×#131	—	7	1	no	—
731	C₂×#131	—	7	1	no	—
732	C₂×#131	—	7	1	no	—
733	C₂×#131	—	7	1	no	—
734	#559	—	7	1	no	—
735	#559	—	7	1	no	—
736	#559	—	7	1	no	—
737	#557	—	7	1	no	—
738	#556	—	7	1	no	—
739	#556	—	7	1	no	—
740	#556	—	7	1	no	—
741	#553	—	7	1	no	—
742	#553	—	7	1	no	—
743	#553	—	7	1	no	—
744	#553	—	7	1	no	—
745	#553	—	7	1	no	—
746	#553	—	7	1	no	—
747	#550	—	7	1	no	—
748	#548	—	7	1	no	—
749	#548	—	7	1	no	—
750	#532	—	7	1	no	—
751	#532	—	7	1	no	—
752	#532	—	7	1	no	—
753	#529	—	7	1	no	—
754	#529	—	7	1	no	—
755	#529	—	7	1	no	—
756	#529	—	7	1	no	—
757	#529	—	7	1	no	—
758	#529	C₂×D₇	1	1	yes	characteristic
759	C₄×#41	—	7	1	no	—
760	C₄×#41	—	7	1	no	—
761	C₄×#41	—	7	1	no	—
762	C₄×#41	—	7	1	no	—
763	C₄×#41	—	7	1	no	—
764	C₂×C₄×Q₈	—	7	1	no	—
765	#446	—	7	1	no	—
766	#446	—	7	1	no	—
767	#446	—	7	1	no	—
768	#446	—	7	1	no	—
769	#446	—	7	1	no	—
770	#446	—	7	1	no	—
771	#446	—	7	1	no	—
772	#446	—	7	1	no	—
773	#446	—	7	1	no	—
774	#446	—	7	1	no	—
775	#446	—	7	1	no	—
776	#446	—	7	1	no	—
777	#446	C₂×D₇	1	1	yes	characteristic
778	#446	C₂×D₇	1	1	yes	characteristic
779	C₈×Q₈	—	7	1	no	—
780	C₈×Q₈	—	7	1	no	—
781	#436	—	7	1	no	—
782	#436	—	7	1	no	—
783	#436	—	7	1	no	—
784	#436	—	7	1	no	—
785	#436	—	7	1	no	—
786	#436	—	7	1	no	—
787	#436	—	7	1	no	—
788	#436	—	7	1	no	—
789	#436	—	7	1	no	—
790	#436	—	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	—	7	1	no	—
796	#435	—	7	1	no	—
797	#435	—	7	1	no	—
798	#435	—	7	1	no	—
799	#435	—	7	1	no	—
800	#435	—	7	1	no	—
801	#435	—	7	1	no	—
802	#435	—	7	1	no	—
803	#435	—	7	1	no	—
804	#435	—	7	1	no	—
805	#435	—	7	1	no	—
806	#435	—	7	1	no	—
807	#435	—	7	1	no	—
808	#435	—	7	1	no	—
809	#435	—	7	1	no	—
810	#435	—	7	1	no	—
811	#435	—	7	1	no	—
812	#435	—	7	1	no	—
813	#435	—	7	1	no	—
814	#435	—	7	1	no	—
815	#435	C₂×D₇	1	1	yes	characteristic
816	#435	C₂×D₇	1	1	yes	characteristic
817	#435	C₂×D₇	1	1	yes	characteristic
818	#435	C₂×D₇	1	1	yes	characteristic
819	C₈×D₄	—	7	1	no	—
820	C₈×D₄	—	7	1	no	—
821	C₈×D₄	—	7	1	no	—
822	C₈×D₄	—	7	1	no	—
823	C₈×D₄	—	7	1	no	—
824	C₈×D₄	—	7	1	no	—
825	C₈×D₄	—	7	1	no	—
826	C₈×D₄	—	7	1	no	—
827	C₈×D₄	C₂×D₇	1	1	yes	characteristic
828	C₈×D₄	C₂×D₇	1	1	yes	characteristic
829	#433	—	7	1	no	—
830	#433	—	7	1	no	—
831	#433	—	7	1	no	—
832	#433	—	7	1	no	—
833	#433	—	7	1	no	—
834	#433	—	7	1	no	—
835	#433	—	7	1	no	—
836	#433	—	7	1	no	—
837	#433	—	7	1	no	—
838	#433	—	7	1	no	—
839	#433	C₂×D₇	1	1	yes	characteristic
840	#433	C₂×D₇	1	1	yes	characteristic
841	#432	—	7	1	no	—
842	#432	—	7	1	no	—
843	#432	—	7	1	no	—
844	#432	—	7	1	no	—
845	#432	—	7	1	no	—
846	#432	—	7	1	no	—
847	#431	—	7	1	no	—
848	#431	—	7	1	no	—
849	#431	—	7	1	no	—
850	#431	—	7	1	no	—
851	#431	—	7	1	no	—
852	#431	C₂×D₇	1	1	yes	characteristic
853	#423	—	7	1	no	—
854	#423	—	7	1	no	—
855	#423	—	7	1	no	—
856	C₂×C₄⋊C₈	—	7	1	no	—
857	C₂×C₄⋊C₈	—	7	1	no	—
858	C₂×C₄⋊C₈	—	7	1	no	—
859	#408	—	7	1	no	—
860	#408	—	7	1	no	—
861	#408	—	7	1	no	—
862	#408	—	7	1	no	—
863	#408	—	7	1	no	—
864	#408	—	7	1	no	—
865	#405	—	7	1	no	—
866	#405	—	7	1	no	—
867	#405	—	7	1	no	—
868	#405	—	7	1	no	—
869	#405	—	7	1	no	—
870	#405	—	7	1	no	—
871	#405	—	7	1	no	—
872	#405	—	7	1	no	—
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	#405	C₂×D₇	1	1	yes	characteristic
880	#405	C₂×D₇	1	1	yes	characteristic
881	C₄×M₁₆	—	7	1	no	—
882	C₄×M₁₆	—	7	1	no	—
883	C₄×M₁₆	—	7	1	no	—
884	C₄×M₁₆	—	7	1	no	—
885	C₄×M₁₆	—	7	1	no	—
886	C₄×M₁₆	—	7	1	no	—
887	C₄×M₁₆	—	7	1	no	—
888	C₄×M₁₆	—	7	1	no	—
889	C₄×M₁₆	—	7	1	no	—
890	C₂×#97	—	7	1	no	—
891	C₂×#97	—	7	1	no	—
892	C₂×#97	—	7	1	no	—
893	C₂×#97	—	7	1	no	—
894	C₂×#97	—	7	1	no	—
895	C₂×#97	C₂×D₇	1	1	yes	characteristic
896	C₂×C₄×C₈	—	7	1	no	—
897	C₂×C₄×C₈	—	7	1	no	—
898	C₂×C₄×C₈	—	7	1	no	—
899	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
900	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
901	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
902	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
903	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
904	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
905	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
906	C₇×Q₈	—	4	1	no	—
907	C₇×D₄	—	4	1	no	—
908	C₇×D₄	—	4	1	no	—
909	C₇×D₄	—	4	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	—	2	1	no	—
915	C₂×C₄×C₇	—	2	1	no	—
916	C₂×C₄×C₇	—	4	1	no	—
917	C₂×C₄×C₇	—	4	1	no	—
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	C₂³×C₄	1	1	yes	characteristic
926	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
927	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
928	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
929	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
930	C₂²⋊D₇	—	2	2	no	—
931	C₂²⋊D₇	—	2	2	no	—
932	C₂²⋊D₇	—	2	2	no	—
933	C₂²⋊D₇	—	2	2	no	—
934	C₂²⋊D₇	—	2	2	no	—
935	C₂²⋊D₇	—	2	2	no	—
936	C₂²⋊D₇	—	2	2	no	—
937	C₂²⋊D₇	—	2	2	no	—
938	C₂²⋊D₇	—	4	1	no	—
939	C₂²⋊D₇	—	4	1	no	—
940	C₂²⋊D₇	—	4	1	no	—
941	C₂²⋊D₇	—	4	1	no	—
942	C₂×Dic₇	—	2	2	no	—
943	C₂×Dic₇	—	4	1	no	—
944	C₂×Dic₇	—	4	1	no	—
945	C₂×Dic₇	—	4	1	no	—
946	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
947	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
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	D₂₈	—	2	2	no	—
959	D₂₈	—	2	2	no	—
960	D₂₈	—	2	2	no	—
961	D₂₈	—	4	1	no	—
962	D₂₈	—	4	1	no	—
963	D₂₈	—	4	1	no	—
964	C₄×D₇	—	2	1	no	—
965	C₄×D₇	—	2	1	no	—
966	C₄×D₇	—	2	1	no	—
967	C₄×D₇	—	2	1	no	—
968	C₄×D₇	—	2	1	no	—
969	C₄×D₇	—	2	1	no	—
970	C₄×D₇	—	2	2	no	—
971	C₄×D₇	—	2	2	no	—
972	C₄×D₇	—	4	1	no	—
973	C₄×D₇	—	4	1	no	—
974	C₄×D₇	—	4	1	no	—
975	C₄×D₇	—	4	1	no	—
976	C₄×D₇	—	4	1	no	—
977	C₄×D₇	—	4	1	no	—
978	C₄×D₇	—	4	1	no	—
979	C₄×D₇	—	4	1	no	—
980	C₄×D₇	—	4	1	no	—
981	C₄×D₇	—	4	1	no	—
982	C₄×D₇	C₂×#41	1	2	yes	—
983	C₄×D₇	C₂×#41	1	2	yes	—
984	Dic₁₄	—	2	2	no	—
985	Dic₁₄	—	2	2	no	—
986	Dic₁₄	—	2	2	no	—
987	Dic₁₄	—	2	2	no	—
988	Dic₁₄	—	2	2	no	—
989	Dic₁₄	—	4	1	no	—
990	C₇×C₈	—	2	1	no	—
991	C₇×C₈	—	2	1	no	—
992	C₇×C₈	—	2	1	no	—
993	C₇×C₈	—	2	1	no	—
994	C₇×C₈	—	2	1	no	—
995	C₇×C₈	—	2	1	no	—
996	C₇×C₈	C₂×#41	1	2	yes	—
997	C₇×C₈	C₂×#41	1	2	yes	—
998	C₇⋊C₈	—	2	1	no	—
999	C₇⋊C₈	—	2	1	no	—
1000	C₇⋊C₈	—	2	1	no	—
1001	C₇⋊C₈	—	2	1	no	—
1002	C₇⋊C₈	—	2	1	no	—
1003	C₇⋊C₈	—	2	1	no	—
1004	C₇⋊C₈	C₂×#41	1	2	yes	—
1005	C₇⋊C₈	C₂×#41	1	2	yes	—
1006	C₂×#41	—	7	1	no	—
1007	C₂×#41	—	7	1	no	—
1008	C₂×#41	—	7	1	no	—
1009	C₂×#41	—	7	1	no	—
1010	C₂×#41	—	7	1	no	—
1011	C₂²×Q₈	—	7	1	no	—
1012	#131	—	14	4	no	—
1013	#131	—	14	4	no	—
1014	#131	—	14	4	no	—
1015	#131	—	14	4	no	—
1016	#131	—	14	4	no	—
1017	#131	—	14	4	no	—
1018	C₂×M₁₆	—	7	1	no	—
1019	C₂×M₁₆	—	7	1	no	—
1020	C₂×M₁₆	—	7	1	no	—
1021	C₂×M₁₆	—	7	1	no	—
1022	C₂×M₁₆	—	7	1	no	—
1023	C₂×M₁₆	—	7	1	no	—
1024	C₂×M₁₆	—	7	1	no	—
1025	C₂×M₁₆	—	7	1	no	—
1026	C₂×M₁₆	—	7	1	no	—
1027	C₂×M₁₆	—	7	1	no	—
1028	C₂×M₁₆	—	7	1	no	—
1029	C₂×M₁₆	—	7	1	no	—
1030	C₂×M₁₆	—	7	1	no	—
1031	C₂×M₁₆	—	7	1	no	—
1032	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1033	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1034	C₂²×C₈	—	7	1	no	—
1035	C₂²×C₈	—	7	1	no	—
1036	C₂²×C₈	—	7	1	no	—
1037	C₂²×C₈	—	7	1	no	—
1038	C₂²×C₈	—	7	1	no	—
1039	C₂²×C₈	—	7	1	no	—
1040	C₂²×C₈	—	7	1	no	—
1041	C₂²×C₈	—	7	1	no	—
1042	C₂²×C₈	—	7	1	no	—
1043	C₂²×C₈	—	7	1	no	—
1044	C₂²×C₈	—	7	1	no	—
1045	C₂²×C₈	—	7	1	no	—
1046	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1047	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1048	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1049	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1050	C₄⋊Q₈	—	7	1	no	—
1051	C₄⋊Q₈	—	7	1	no	—
1052	C₄⋊Q₈	—	7	1	no	—
1053	#127	—	7	1	no	—
1054	#127	—	7	1	no	—
1055	#127	—	7	1	no	—
1056	#126	—	7	1	no	—
1057	#126	—	7	1	no	—
1058	#126	—	7	1	no	—
1059	#126	—	7	1	no	—
1060	#126	—	7	1	no	—
1061	#126	—	7	1	no	—
1062	#126	—	7	1	no	—
1063	#126	—	7	1	no	—
1064	#126	—	7	1	no	—
1065	#126	—	7	1	no	—
1066	#126	C₄×D₇	1	1	yes	characteristic
1067	#126	C₄×D₇	1	1	yes	characteristic
1068	#125	—	7	1	no	—
1069	#125	—	7	1	no	—
1070	#125	—	7	1	no	—
1071	#125	—	7	1	no	—
1072	#125	—	7	1	no	—
1073	#125	C₄×D₇	1	1	yes	characteristic
1074	#124	—	7	1	no	—
1075	#124	—	7	1	no	—
1076	#124	—	7	1	no	—
1077	#124	—	7	1	no	—
1078	#124	—	7	1	no	—
1079	#124	—	7	1	no	—
1080	#124	—	7	1	no	—
1081	#124	—	7	1	no	—
1082	#124	—	7	1	no	—
1083	#124	—	7	1	no	—
1084	#124	—	7	1	no	—
1085	#124	C₄×D₇	1	1	yes	characteristic
1086	#123	—	7	1	no	—
1087	#123	—	7	1	no	—
1088	#123	—	7	1	no	—
1089	#123	—	7	1	no	—
1090	#123	—	7	1	no	—
1091	#123	—	7	1	no	—
1092	#123	—	7	1	no	—
1093	#123	—	7	1	no	—
1094	#123	—	7	1	no	—
1095	#123	—	7	1	no	—
1096	#123	C₄×D₇	1	1	yes	characteristic
1097	#123	C₄×D₇	1	1	yes	characteristic
1098	C₂²⋊Q₈	—	7	1	no	—
1099	C₂²⋊Q₈	—	7	1	no	—
1100	C₂²⋊Q₈	—	7	1	no	—
1101	C₂²⋊Q₈	—	7	1	no	—
1102	C₂²⋊Q₈	—	7	1	no	—
1103	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1104	#121	—	7	1	no	—
1105	#121	—	7	1	no	—
1106	#121	—	7	1	no	—
1107	#121	—	7	1	no	—
1108	#121	—	7	1	no	—
1109	#121	—	7	1	no	—
1110	#121	—	7	1	no	—
1111	#121	—	7	1	no	—
1112	#121	—	7	1	no	—
1113	#121	—	7	1	no	—
1114	#121	—	7	1	no	—
1115	#121	—	7	1	no	—
1116	#121	—	7	1	no	—
1117	#121	—	7	1	no	—
1118	#121	—	7	1	no	—
1119	#121	—	7	1	no	—
1120	#121	—	7	1	no	—
1121	#121	C₄×D₇	1	1	yes	characteristic
1122	C₄×Q₈	—	7	1	no	—
1123	C₄×Q₈	—	7	1	no	—
1124	C₄×Q₈	—	7	1	no	—
1125	C₄×Q₈	—	7	1	no	—
1126	C₄×Q₈	—	7	1	no	—
1127	C₄×Q₈	—	7	1	no	—
1128	C₄×Q₈	—	7	1	no	—
1129	C₄×Q₈	—	7	1	no	—
1130	C₄×Q₈	—	7	1	no	—
1131	C₄×Q₈	—	7	1	no	—
1132	C₄×Q₈	—	7	1	no	—
1133	C₄×Q₈	—	7	1	no	—
1134	C₄×Q₈	—	7	1	no	—
1135	C₄×Q₈	—	7	1	no	—
1136	C₄×Q₈	—	7	1	no	—
1137	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1143	C₄×D₄	—	7	1	no	—
1144	C₄×D₄	—	7	1	no	—
1145	C₄×D₄	—	7	1	no	—
1146	C₄×D₄	—	7	1	no	—
1147	C₄×D₄	—	7	1	no	—
1148	C₄×D₄	—	7	1	no	—
1149	C₄×D₄	—	7	1	no	—
1150	C₄×D₄	—	7	1	no	—
1151	C₄×D₄	—	7	1	no	—
1152	C₄×D₄	—	7	1	no	—
1153	C₄×D₄	—	7	1	no	—
1154	C₄×D₄	—	7	1	no	—
1155	C₄×D₄	—	7	1	no	—
1156	C₄×D₄	—	7	1	no	—
1157	C₄×D₄	—	7	1	no	—
1158	C₄×D₄	—	7	1	no	—
1159	C₄×D₄	—	7	1	no	—
1160	C₄×D₄	—	7	1	no	—
1161	C₄×D₄	—	7	1	no	—
1162	C₄×D₄	—	7	1	no	—
1163	C₄×D₄	—	7	1	no	—
1164	C₄×D₄	—	7	1	no	—
1165	C₄×D₄	—	7	1	no	—
1166	C₄×D₄	—	7	1	no	—
1167	C₄×D₄	—	7	1	no	—
1168	C₄×D₄	—	7	1	no	—
1169	C₄×D₄	—	7	1	no	—
1170	C₄×D₄	—	7	1	no	—
1171	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1172	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1173	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1174	#117	—	7	1	no	—
1175	#117	—	7	1	no	—
1176	#117	—	7	1	no	—
1177	#117	—	7	1	no	—
1178	#117	—	7	1	no	—
1179	#117	—	7	1	no	—
1180	#117	—	7	1	no	—
1181	#117	—	7	1	no	—
1182	#117	—	7	1	no	—
1183	#117	—	7	1	no	—
1184	#117	—	7	1	no	—
1185	#117	C₂²×D₇	1	1	yes	characteristic
1186	#117	C₂²×D₇	1	1	yes	characteristic
1187	C₂×C₄⋊C₄	—	7	1	no	—
1188	C₂×C₄⋊C₄	—	7	1	no	—
1189	C₂×C₄⋊C₄	—	7	1	no	—
1190	C₂×C₄²	—	7	1	no	—
1191	C₂×C₄²	—	7	1	no	—
1192	C₂×C₄²	—	7	1	no	—
1193	C₂×C₄²	—	7	1	no	—
1194	C₂×C₄²	—	7	1	no	—
1195	C₂×C₄²	—	7	1	no	—
1196	C₂×C₄²	—	7	1	no	—
1197	C₂×C₄²	—	7	1	no	—
1198	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1199	C₄⋊C₈	—	7	1	no	—
1200	C₄⋊C₈	—	7	1	no	—
1201	C₄⋊C₈	—	7	1	no	—
1202	C₄⋊C₈	—	7	1	no	—
1203	C₄⋊C₈	—	7	1	no	—
1204	C₄⋊C₈	—	7	1	no	—
1205	C₄⋊C₈	—	7	1	no	—
1206	C₄⋊C₈	—	7	1	no	—
1207	C₄⋊C₈	—	7	1	no	—
1208	C₄⋊C₈	—	7	1	no	—
1209	C₄⋊C₈	—	7	1	no	—
1210	C₄⋊C₈	—	7	1	no	—
1211	C₄⋊C₈	—	7	1	no	—
1212	C₄⋊C₈	—	7	1	no	—
1213	C₄⋊C₈	—	7	1	no	—
1214	C₄⋊C₈	—	7	1	no	—
1215	C₄⋊C₈	—	7	1	no	—
1216	C₄⋊C₈	—	7	1	no	—
1217	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1218	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1219	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1220	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1221	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1222	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1223	C₂²⋊C₈	—	7	1	no	—
1224	C₂²⋊C₈	—	7	1	no	—
1225	C₂²⋊C₈	—	7	1	no	—
1226	C₂²⋊C₈	—	7	1	no	—
1227	C₂²⋊C₈	—	7	1	no	—
1228	C₂²⋊C₈	—	7	1	no	—
1229	C₂²⋊C₈	—	7	1	no	—
1230	C₂²⋊C₈	—	7	1	no	—
1231	C₂²⋊C₈	—	7	1	no	—
1232	C₂²⋊C₈	—	7	1	no	—
1233	C₂²⋊C₈	—	7	1	no	—
1234	C₂²⋊C₈	—	7	1	no	—
1235	C₂²⋊C₈	—	7	1	no	—
1236	C₂²⋊C₈	—	7	1	no	—
1237	C₂²⋊C₈	—	7	1	no	—
1238	C₂²⋊C₈	—	7	1	no	—
1239	C₂²⋊C₈	—	7	1	no	—
1240	C₂²⋊C₈	—	7	1	no	—
1241	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1242	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1243	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1244	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1245	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1246	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1247	#97	—	7	1	no	—
1248	#97	—	7	1	no	—
1249	#97	—	7	1	no	—
1250	#97	—	7	1	no	—
1251	#97	—	7	1	no	—
1252	#97	—	7	1	no	—
1253	#97	—	7	1	no	—
1254	#97	—	7	1	no	—
1255	#97	—	7	1	no	—
1256	#97	—	7	1	no	—
1257	#97	—	7	1	no	—
1258	#97	—	7	1	no	—
1259	#97	—	7	1	no	—
1260	#97	—	7	1	no	—
1261	#97	—	7	1	no	—
1262	#97	—	7	1	no	—
1263	#97	C₂²×D₇	1	1	yes	characteristic
1264	#97	C₂²×D₇	1	1	yes	characteristic
1265	#97	C₂²×D₇	1	1	yes	characteristic
1266	#97	C₂²×D₇	1	1	yes	characteristic
1267	#97	C₂²×D₇	1	1	yes	characteristic
1268	#97	C₂²×D₇	1	1	yes	characteristic
1269	C₄×C₈	—	7	1	no	—
1270	C₄×C₈	—	7	1	no	—
1271	C₄×C₈	—	7	1	no	—
1272	C₄×C₈	—	7	1	no	—
1273	C₄×C₈	—	7	1	no	—
1274	C₄×C₈	—	7	1	no	—
1275	C₄×C₈	—	7	1	no	—
1276	C₄×C₈	—	7	1	no	—
1277	C₄×C₈	—	7	1	no	—
1278	C₄×C₈	—	7	1	no	—
1279	C₄×C₈	—	7	1	no	—
1280	C₄×C₈	—	7	1	no	—
1281	C₄×C₈	—	7	1	no	—
1282	C₄×C₈	—	7	1	no	—
1283	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1284	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1285	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1286	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1287	C₂²×C₇	—	2	1	no	—
1288	C₂²×C₇	—	2	1	no	—
1289	C₂²×C₇	—	2	1	no	—
1290	C₂²×C₇	—	2	1	no	—
1291	C₂²×C₇	—	2	1	no	—
1292	C₂²×C₇	—	2	1	no	—
1293	C₂²×C₇	—	2	1	no	—
1294	C₂²×C₇	—	2	1	no	—
1295	C₂²×C₇	—	2	1	no	—
1296	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1297	C₂×D₇	—	2	1	no	—
1298	C₂×D₇	—	2	1	no	—
1299	C₂×D₇	—	2	1	no	—
1300	C₂×D₇	—	2	1	no	—
1301	C₂×D₇	—	2	1	no	—
1302	C₂×D₇	—	2	1	no	—
1303	C₂×D₇	—	2	1	no	—
1304	C₂×D₇	—	2	1	no	—
1305	C₂×D₇	—	2	1	no	—
1306	C₂×D₇	—	2	1	no	—
1307	C₂×D₇	—	2	1	no	—
1308	C₂×D₇	C₄×#41	1	2	yes	—
1309	C₄×C₇	—	2	1	no	—
1310	C₄×C₇	—	2	1	no	—
1311	C₄×C₇	—	2	1	no	—
1312	C₄×C₇	—	2	1	no	—
1313	C₄×C₇	—	2	1	no	—
1314	C₄×C₇	—	2	1	no	—
1315	C₄×C₇	—	2	1	no	—
1316	C₄×C₇	—	2	1	no	—
1317	C₄×C₇	—	2	1	no	—
1318	C₄×C₇	—	2	1	no	—
1319	C₄×C₇	—	2	1	no	—
1320	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1321	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1322	Dic₇	—	2	1	no	—
1323	Dic₇	—	2	1	no	—
1324	Dic₇	—	2	1	no	—
1325	Dic₇	—	2	1	no	—
1326	Dic₇	—	2	1	no	—
1327	Dic₇	—	2	1	no	—
1328	Dic₇	—	2	1	no	—
1329	Dic₇	—	2	1	no	—
1330	Dic₇	—	2	1	no	—
1331	Dic₇	—	2	1	no	—
1332	Dic₇	C₄×#41	1	2	yes	—
1333	Dic₇	#568	1	2	yes	—
1334	#41	—	14	2	no	—
1335	#41	—	14	2	no	—
1336	#41	—	14	2	no	—
1337	#41	—	14	2	no	—
1338	#41	—	14	2	no	—
1339	#41	—	14	2	no	—
1340	#41	—	28	2	no	—
1341	#41	—	28	2	no	—
1342	C₂×Q₈	—	7	1	no	—
1343	C₂×Q₈	—	7	1	no	—
1344	C₂×Q₈	—	7	1	no	—
1345	C₂×Q₈	—	7	1	no	—
1346	C₂×Q₈	—	7	1	no	—
1347	C₂×Q₈	—	7	1	no	—
1348	C₂×Q₈	—	28	2	no	—
1349	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1350	C₂×D₄	—	7	1	no	—
1351	C₂×D₄	—	7	1	no	—
1352	C₂×D₄	—	7	1	no	—
1353	C₂×D₄	—	7	1	no	—
1354	C₂×D₄	—	7	1	no	—
1355	C₂×D₄	—	7	1	no	—
1356	C₂×D₄	—	7	1	no	—
1357	C₂×D₄	—	7	1	no	—
1358	C₂×D₄	—	7	1	no	—
1359	C₂×D₄	—	7	1	no	—
1360	C₂×D₄	—	7	1	no	—
1361	C₂×D₄	—	7	1	no	—
1362	C₂×D₄	—	7	1	no	—
1363	C₂×D₄	—	7	1	no	—
1364	C₂×D₄	—	7	1	no	—
1365	C₂×D₄	—	7	1	no	—
1366	C₂×D₄	—	7	1	no	—
1367	C₂×D₄	—	7	1	no	—
1368	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1369	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1370	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1371	C₂²×C₄	—	7	1	no	—
1372	C₂²×C₄	—	7	1	no	—
1373	C₂²×C₄	—	7	1	no	—
1374	C₂²×C₄	—	7	1	no	—
1375	C₂²×C₄	—	7	1	no	—
1376	C₂²×C₄	—	7	1	no	—
1377	C₂²×C₄	—	7	1	no	—
1378	C₂²×C₄	—	7	1	no	—
1379	C₂²×C₄	—	7	1	no	—
1380	C₂²×C₄	—	7	1	no	—
1381	C₂²×C₄	—	7	1	no	—
1382	C₂²×C₄	—	7	1	no	—
1383	C₂²×C₄	—	7	1	no	—
1384	C₂²×C₄	—	7	1	no	—
1385	C₂²×C₄	—	7	1	no	—
1386	C₂²×C₄	—	7	1	no	—
1387	C₂²×C₄	—	7	1	no	—
1388	C₂²×C₄	—	7	1	no	—
1389	C₂²×C₄	—	7	1	no	—
1390	C₂²×C₄	—	7	1	no	—
1391	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1392	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1393	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1394	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1395	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1396	M₁₆	—	2	2	no	—
1397	M₁₆	—	2	2	no	—
1398	M₁₆	—	7	4	no	—
1399	M₁₆	—	14	2	no	—
1400	M₁₆	—	14	2	no	—
1401	M₁₆	—	14	2	no	—
1402	M₁₆	—	14	2	no	—
1403	M₁₆	—	14	2	no	—
1404	M₁₆	—	14	2	no	—
1405	M₁₆	—	14	2	no	—
1406	M₁₆	—	14	2	no	—
1407	M₁₆	—	14	2	no	—
1408	M₁₆	—	14	2	no	—
1409	M₁₆	—	14	2	no	—
1410	M₁₆	—	14	2	no	—
1411	M₁₆	—	14	2	no	—
1412	C₂×C₈	—	2	2	no	—
1413	C₂×C₈	—	2	2	no	—
1414	C₂×C₈	—	2	2	no	—
1415	C₂×C₈	—	2	2	no	—
1416	C₂×C₈	—	7	1	no	—
1417	C₂×C₈	—	7	1	no	—
1418	C₂×C₈	—	7	4	no	—
1419	C₂×C₈	—	7	1	no	—
1420	C₂×C₈	—	7	1	no	—
1421	C₂×C₈	—	7	1	no	—
1422	C₂×C₈	—	7	1	no	—
1423	C₂×C₈	—	7	1	no	—
1424	C₂×C₈	—	7	1	no	—
1425	C₂×C₈	—	14	2	no	—
1426	C₂×C₈	—	14	2	no	—
1427	C₂×C₈	—	14	2	no	—
1428	C₂×C₈	—	14	2	no	—
1429	C₂×C₈	—	14	2	no	—
1430	C₂×C₈	—	14	2	no	—
1431	C₂×C₈	—	14	2	no	—
1432	C₂×C₈	—	14	2	no	—
1433	C₂×C₈	—	14	2	no	—
1434	C₂×C₈	—	14	2	no	—
1435	C₂×C₈	—	14	2	no	—
1436	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1437	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1439	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1440	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1441	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1442	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1443	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1451	C₄⋊C₄	—	7	1	no	—
1452	C₄⋊C₄	—	7	1	no	—
1453	C₄⋊C₄	—	7	1	no	—
1454	C₄⋊C₄	—	7	1	no	—
1455	C₄⋊C₄	—	7	1	no	—
1456	C₄⋊C₄	—	7	1	no	—
1457	C₄⋊C₄	—	7	1	no	—
1458	C₄⋊C₄	—	7	1	no	—
1459	C₄⋊C₄	—	7	1	no	—
1460	C₄⋊C₄	—	7	1	no	—
1461	C₄⋊C₄	—	7	1	no	—
1462	C₄⋊C₄	—	7	1	no	—
1463	C₄⋊C₄	—	7	1	no	—
1464	C₄⋊C₄	—	7	1	no	—
1465	C₄⋊C₄	—	7	1	no	—
1466	C₄⋊C₄	—	7	1	no	—
1467	C₄⋊C₄	—	7	1	no	—
1468	C₄⋊C₄	—	7	1	no	—
1469	C₄⋊C₄	—	7	1	no	—
1470	C₄⋊C₄	—	7	1	no	—
1471	C₄⋊C₄	—	7	1	no	—
1472	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1473	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1481	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1482	C₂²⋊C₄	—	7	1	no	—
1483	C₂²⋊C₄	—	7	1	no	—
1484	C₂²⋊C₄	—	7	1	no	—
1485	C₂²⋊C₄	—	7	1	no	—
1486	C₂²⋊C₄	—	7	1	no	—
1487	C₂²⋊C₄	—	7	1	no	—
1488	C₂²⋊C₄	—	7	1	no	—
1489	C₂²⋊C₄	—	7	1	no	—
1490	C₂²⋊C₄	—	7	1	no	—
1491	C₂²⋊C₄	—	7	1	no	—
1492	C₂²⋊C₄	—	7	1	no	—
1493	C₂²⋊C₄	—	7	1	no	—
1494	C₂²⋊C₄	—	7	1	no	—
1495	C₂²⋊C₄	—	7	1	no	—
1496	C₂²⋊C₄	—	7	1	no	—
1497	C₂²⋊C₄	—	7	1	no	—
1498	C₂²⋊C₄	—	7	1	no	—
1499	C₂²⋊C₄	—	7	1	no	—
1500	C₂²⋊C₄	—	7	1	no	—
1501	C₂²⋊C₄	—	7	1	no	—
1502	C₂²⋊C₄	—	7	1	no	—
1503	C₂²⋊C₄	—	7	1	no	—
1504	C₂²⋊C₄	—	7	1	no	—
1505	C₂²⋊C₄	—	7	1	no	—
1506	C₂²⋊C₄	—	7	1	no	—
1507	C₂²⋊C₄	—	7	1	no	—
1508	C₂²⋊C₄	—	7	1	no	—
1509	C₂²⋊C₄	—	7	1	no	—
1510	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1520	C₄²	—	7	1	no	—
1521	C₄²	—	7	1	no	—
1522	C₄²	—	7	1	no	—
1523	C₄²	—	7	1	no	—
1524	C₄²	—	7	1	no	—
1525	C₄²	—	7	1	no	—
1526	C₄²	—	7	1	no	—
1527	C₄²	—	7	1	no	—
1528	C₄²	—	7	1	no	—
1529	C₄²	—	7	1	no	—
1530	C₄²	—	7	1	no	—
1531	C₄²	—	7	1	no	—
1532	C₄²	—	7	1	no	—
1533	C₄²	—	7	1	no	—
1534	C₄²	—	7	1	no	—
1535	C₄²	—	7	1	no	—
1536	C₄²	—	7	1	no	—
1537	C₄²	—	7	1	no	—
1538	C₄²	—	7	1	no	—
1539	C₄²	—	7	1	no	—
1540	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1541	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1542	C₄²	C₂³×D₇	1	1	yes	characteristic
1543	C₄²	C₂³×D₇	1	1	yes	characteristic
1544	C₄²	C₂³×D₇	1	1	yes	characteristic
1545	C₄²	C₂³×D₇	1	1	yes	characteristic
1546	C₂×C₇	—	4	1	no	—
1547	C₂×C₇	—	4	1	no	—
1548	C₂×C₇	—	4	1	no	—
1549	C₂×C₇	C₂×C₄×#41	1	1	yes	characteristic
1550	C₂×C₇	C₂×#568	1	1	yes	characteristic
1551	C₂×C₇	#3573	1	1	yes	characteristic
1552	D₇	—	2	2	no	—
1553	D₇	—	4	1	no	—
1554	D₇	—	4	1	no	—
1555	D₇	—	4	1	no	—
1556	C₂³	—	7	1	no	—
1557	C₂³	—	7	1	no	—
1558	C₂³	—	7	1	no	—
1559	C₂³	—	7	1	no	—
1560	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1561	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1562	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1563	Q₈	—	4	1	no	—
1564	Q₈	—	14	2	no	—
1565	Q₈	—	14	2	no	—
1566	Q₈	—	14	2	no	—
1567	Q₈	—	14	2	no	—
1568	Q₈	—	14	2	no	—
1569	Q₈	—	28	1	no	—
1570	D₄	—	4	1	no	—
1571	D₄	—	4	1	no	—
1572	D₄	—	4	1	no	—
1573	D₄	—	14	2	no	—
1574	D₄	—	14	2	no	—
1575	D₄	—	14	2	no	—
1576	D₄	—	14	2	no	—
1577	D₄	—	14	2	no	—
1578	D₄	—	14	2	no	—
1579	D₄	—	14	2	no	—
1580	D₄	—	14	2	no	—
1581	D₄	—	14	2	no	—
1582	D₄	—	14	2	no	—
1583	D₄	—	14	2	no	—
1584	D₄	—	28	1	no	—
1585	D₄	—	28	1	no	—
1586	D₄	—	28	1	no	—
1587	D₄	—	28	1	no	—
1588	D₄	—	28	1	no	—
1589	D₄	—	28	1	no	—
1590	D₄	—	28	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	7	1	no	—
1600	C₂×C₄	—	7	1	no	—
1601	C₂×C₄	—	7	2	no	—
1602	C₂×C₄	—	7	2	no	—
1603	C₂×C₄	—	7	1	no	—
1604	C₂×C₄	—	7	1	no	—
1605	C₂×C₄	—	7	1	no	—
1606	C₂×C₄	—	7	1	no	—
1607	C₂×C₄	—	7	1	no	—
1608	C₂×C₄	—	7	1	no	—
1609	C₂×C₄	—	7	1	no	—
1610	C₂×C₄	—	7	1	no	—
1611	C₂×C₄	—	7	1	no	—
1612	C₂×C₄	—	7	1	no	—
1613	C₂×C₄	—	14	2	no	—
1614	C₂×C₄	—	14	2	no	—
1615	C₂×C₄	—	14	2	no	—
1616	C₂×C₄	—	14	1	no	—
1617	C₂×C₄	—	14	1	no	—
1618	C₂×C₄	—	14	1	no	—
1619	C₂×C₄	—	14	1	no	—
1620	C₂×C₄	—	14	1	no	—
1621	C₂×C₄	—	14	1	no	—
1622	C₂×C₄	—	28	1	no	—
1623	C₂×C₄	—	28	1	no	—
1624	C₂×C₄	—	28	1	no	—
1625	C₂×C₄	—	28	1	no	—
1626	C₂×C₄	—	28	1	no	—
1627	C₂×C₄	—	28	1	no	—
1628	C₂×C₄	—	28	1	no	—
1629	C₂×C₄	—	28	1	no	—
1630	C₂×C₄	—	28	1	no	—
1631	C₂×C₄	—	28	1	no	—
1632	C₂×C₄	—	28	1	no	—
1633	C₂×C₄	—	28	1	no	—
1634	C₂×C₄	—	28	1	no	—
1635	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1643	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1644	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1645	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1646	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	7	2	no	—
1654	C₈	—	7	2	no	—
1655	C₈	—	14	1	no	—
1656	C₈	—	14	1	no	—
1657	C₈	—	14	1	no	—
1658	C₈	—	14	1	no	—
1659	C₈	—	14	1	no	—
1660	C₈	—	14	1	no	—
1661	C₈	D₇×#41	1	2	yes	—
1662	C₈	D₇×#41	1	2	yes	—
1663	C₇	#60219	1	1	yes	characteristic, complemented, Sylow
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	7	2	no	—
1674	C₂²	—	14	1	no	—
1675	C₂²	—	14	1	no	—
1676	C₂²	—	14	1	no	—
1677	C₂²	—	14	1	no	—
1678	C₂²	—	14	1	no	—
1679	C₂²	—	14	1	no	—
1680	C₂²	—	14	1	no	—
1681	C₂²	—	14	1	no	—
1682	C₂²	—	14	1	no	—
1683	C₂²	—	14	1	no	—
1684	C₂²	—	14	1	no	—
1685	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	7	2	no	—
1698	C₄	—	7	2	no	—
1699	C₄	—	14	1	no	—
1700	C₄	—	14	1	no	—
1701	C₄	—	14	1	no	—
1702	C₄	—	14	1	no	—
1703	C₄	—	14	1	no	—
1704	C₄	—	14	1	no	—
1705	C₄	—	14	1	no	—
1706	C₄	—	14	1	no	—
1707	C₄	—	14	1	no	—
1708	C₄	—	14	1	no	—
1709	C₄	C₂×D₇×#41	1	1	yes	characteristic
1710	C₄	C₂×D₇×#41	1	1	yes	characteristic
1711	C₂	—	4	1	no	—
1712	C₂	—	4	1	no	—
1713	C₂	—	4	1	no	—
1714	C₂	—	14	2	no	—
1715	C₂	—	28	1	no	—
1716	C₂	—	28	1	no	—
1717	C₂	—	28	1	no	—
1718	C₂	C₄×D₇×#41	1	1	yes	characteristic
1719	C₂	#11744228	1	1	yes	characteristic
1720	C₂	D₇×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2968	C₂
prime radical	#11743220	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2968	D₇
hypocenter	C₇	#60219
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2968

Complements

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

N	H ≅ G/N	type
2. C₇×#2968	C₂	semidirect
3. #11740572	C₂	semidirect
4. #11737407	C₂	semidirect
5. D₇×#446	C₂	semidirect
6. #11737386	C₂	semidirect
7. #11737385	C₂	semidirect
8. #11736929	C₂	semidirect
9. #11736929	C₂	semidirect
10. #11736925	C₂	semidirect
11. #11736925	C₂	semidirect
12. #11736905	C₂	semidirect
13. #11736904	C₂	semidirect
14. #11736900	C₂	semidirect
15. #11736898	C₂	semidirect
16. #11736870	C₂	semidirect
17. #11736867	C₂	semidirect
18. #11736847	C₂	semidirect
19. #11736845	C₂	semidirect
20. #11736820	C₂	semidirect
21. #11736820	C₂	semidirect
22. #11736812	C₂	semidirect
23. #11736811	C₂	semidirect
24. #11736730	C₂	semidirect
25. #11736723	C₂	semidirect
26. #11736004	C₂	semidirect
27. #11736003	C₂	semidirect
28. #11735995	C₂	semidirect
29. #11735994	C₂	semidirect
30. #11735931	C₂	semidirect
31. #11735927	C₂	semidirect
493. #2968	D₇	semidirect
717. #1131	#41	semidirect
727. C₈×D₇	#41	semidirect
1663. C₇	#60219	semidirect

Maximal subgroups

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

subgroup	index
#11743220	2
C₇×#2968	2
#11740572	2
#11737407	2
D₇×#446	2
#11737386	2
#11737385	2
#11736929	2
#11736925	2
#11736905	2
#11736904	2
#11736900	2
#11736898	2
#11736870	2
#11736867	2
#11736847	2
#11736845	2
#11736820	2
#11736812	2
#11736811	2
#11736730	2
#11736723	2
#11736004	2
#11736003	2
#11735995	2
#11735994	2
#11735931	2
#11735927	2
#60219	7