Subgroups — #14220010

Order 1792.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743222	C₂	1	1	yes	maximal, characteristic
2	C₇×#2995	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740572	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737413	C₂	1	1	yes	maximal, characteristic, complemented
5	#11737409	C₂	1	1	yes	maximal, characteristic, complemented
6	#11737404	C₂	1	1	yes	maximal, characteristic, complemented
7	D₇×#446	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736973	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736968	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736965	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736962	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736910	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736909	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736907	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736906	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736905	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736905	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736903	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736900	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736813	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736811	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736806	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736804	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736773	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736759	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736529	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736527	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736523	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736522	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736495	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736491	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#529	C₂²	1	1	yes	characteristic
33	#90399	C₄	1	1	yes	characteristic
34	#90399	C₄	1	1	yes	characteristic
35	#90393	C₄	1	1	yes	characteristic
36	#90393	C₄	1	1	yes	characteristic
37	#90385	C₄	1	1	yes	characteristic
38	#90376	C₄	1	1	yes	characteristic
39	#90368	C₄	1	1	yes	characteristic
40	#90362	C₄	1	1	yes	characteristic
41	#90346	C₄	1	1	yes	characteristic
42	#90346	C₄	1	1	yes	characteristic
43	#90341	C₄	1	1	yes	characteristic
44	#90341	C₄	1	1	yes	characteristic
45	#90333	C₄	1	1	yes	characteristic
46	#90323	C₄	1	1	yes	characteristic
47	#90302	C₄	1	1	yes	characteristic
48	#90289	C₄	1	1	yes	characteristic
49	#90269	C₂²	1	1	yes	characteristic
50	C₄×Q₈×D₇	C₂²	1	1	yes	characteristic
51	#90248	C₂²	1	1	yes	characteristic
52	#90229	C₂²	1	1	yes	characteristic
53	#90229	C₂²	1	1	yes	characteristic
54	C₄×#1159	C₂²	1	1	yes	characteristic
55	C₄×#1159	C₂²	1	1	yes	characteristic
56	C₄×#1159	C₂²	1	1	yes	characteristic
57	#90219	C₂²	1	1	yes	characteristic
58	#90219	C₂²	1	1	yes	characteristic
59	#90208	C₂²	1	1	yes	characteristic
60	#90208	C₂²	1	1	yes	characteristic
61	C₄×#1157	C₂²	1	1	yes	characteristic
62	C₂×C₄×Dic₁₄	C₂²	1	1	yes	characteristic
63	C₇×#446	C₂²	1	1	yes	characteristic
64	C₇×#446	C₂²	1	1	yes	characteristic
65	C₇×#436	C₂²	1	1	yes	characteristic
66	C₇×#436	C₂²	1	1	yes	characteristic
67	C₇×#435	C₂²	1	1	yes	characteristic
68	C₇×#435	C₂²	1	1	yes	characteristic
69	C₇×#435	C₂²	1	1	yes	characteristic
70	C₇×#435	C₂²	1	1	yes	characteristic
71	C₇×#433	C₂²	1	1	yes	characteristic
72	C₇×#433	C₂²	1	1	yes	characteristic
73	C₇×#432	C₂²	1	1	yes	characteristic
74	C₇×#424	C₂²	1	1	yes	characteristic
75	C₇×#424	C₂²	1	1	yes	characteristic
76	C₇×#423	C₂²	1	1	yes	characteristic
77	#89900	C₂²	1	1	yes	characteristic
78	#89900	C₂²	1	1	yes	characteristic
79	#89900	C₂²	1	1	yes	characteristic
80	#89899	C₂²	1	1	yes	characteristic
81	#89899	C₂²	1	1	yes	characteristic
82	#89899	C₂²	1	1	yes	characteristic
83	#89899	C₂²	1	1	yes	characteristic
84	#89899	C₂²	1	1	yes	characteristic
85	#89894	C₂²	1	1	yes	characteristic
86	#89891	C₂²	1	1	yes	characteristic
87	#89890	C₂²	1	1	yes	characteristic
88	#89890	C₂²	1	1	yes	characteristic
89	#89890	C₂²	1	1	yes	characteristic
90	M₁₆×Dic₇	C₂²	1	1	yes	characteristic
91	M₁₆×Dic₇	C₂²	1	1	yes	characteristic
92	M₁₆×Dic₇	C₂²	1	1	yes	characteristic
93	#89883	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	#89874	C₂²	1	1	yes	characteristic
98	#89873	C₂²	1	1	yes	characteristic
99	C₂×#6389	C₂²	1	1	yes	characteristic
100	C₂×Dic₇⋊C₈	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	#89611	C₂²	1	1	yes	characteristic
118	#89611	C₂²	1	1	yes	characteristic
119	#89609	C₂²	1	1	yes	characteristic
120	#89608	C₂²	1	1	yes	characteristic
121	#89608	C₂²	1	1	yes	characteristic
122	#89607	C₂²	1	1	yes	characteristic
123	#89607	C₂²	1	1	yes	characteristic
124	#89606	C₂²	1	1	yes	characteristic
125	#89606	C₂²	1	1	yes	characteristic
126	#89605	C₂²	1	1	yes	characteristic
127	#89605	C₂²	1	1	yes	characteristic
128	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
129	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
130	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
131	#89603	C₂²	1	1	yes	characteristic
132	#89603	C₂²	1	1	yes	characteristic
133	#89603	C₂²	1	1	yes	characteristic
134	#89603	C₂²	1	1	yes	characteristic
135	#89603	C₂²	1	1	yes	characteristic
136	#89603	C₂²	1	1	yes	characteristic
137	#89603	C₂²	1	1	yes	characteristic
138	#89602	C₂²	1	1	yes	characteristic
139	#89602	C₂²	1	1	yes	characteristic
140	#89602	C₂²	1	1	yes	characteristic
141	#89600	C₂²	1	1	yes	characteristic
142	#89600	C₂²	1	1	yes	characteristic
143	#89600	C₂²	1	1	yes	characteristic
144	#89600	C₂²	1	1	yes	characteristic
145	#89600	C₂²	1	1	yes	characteristic
146	#89600	C₂²	1	1	yes	characteristic
147	#89600	C₂²	1	1	yes	characteristic
148	#89600	C₂²	1	1	yes	characteristic
149	#89600	C₂²	1	1	yes	characteristic
150	#89600	C₂²	1	1	yes	characteristic
151	#89600	C₂²	1	1	yes	characteristic
152	#89600	C₂²	1	1	yes	characteristic
153	#89600	C₂²	1	1	yes	characteristic
154	#89600	C₂²	1	1	yes	characteristic
155	#89502	C₂²	1	1	yes	characteristic
156	#89501	C₂²	1	1	yes	characteristic
157	#89500	C₂²	1	1	yes	characteristic
158	#89500	C₂²	1	1	yes	characteristic
159	#89500	C₂²	1	1	yes	characteristic
160	#89500	C₂²	1	1	yes	characteristic
161	#89500	C₂²	1	1	yes	characteristic
162	#89500	C₂²	1	1	yes	characteristic
163	#89500	C₂²	1	1	yes	characteristic
164	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
165	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
166	(C₂²⋊D₇)⋊C₈	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	#89490	C₂²	1	1	yes	characteristic
177	#89490	C₂²	1	1	yes	characteristic
178	#89490	C₂²	1	1	yes	characteristic
179	#89481	C₂²	1	1	yes	characteristic
180	#89480	C₂²	1	1	yes	characteristic
181	#89477	C₂²	1	1	yes	characteristic
182	#89477	C₂²	1	1	yes	characteristic
183	#89477	C₂²	1	1	yes	characteristic
184	D₇×#97	C₂²	1	1	yes	characteristic
185	D₇×#97	C₂²	1	1	yes	characteristic
186	D₇×#97	C₂²	1	1	yes	characteristic
187	#89473	C₂²	1	1	yes	characteristic
188	#89473	C₂²	1	1	yes	characteristic
189	#89473	C₂²	1	1	yes	characteristic
190	#89473	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	#89461	C₂²	1	1	yes	characteristic
197	#89457	C₂²	1	1	yes	characteristic
198	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
199	#89451	C₂²	1	1	yes	characteristic
200	#89451	C₂²	1	1	yes	characteristic
201	#89451	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₄	C₂²	1	1	yes	characteristic
203	#60342	—	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×#1159	C₂×C₄	1	1	yes	characteristic
207	C₂×#1159	C₂×C₄	1	1	yes	characteristic
208	C₂×#1157	C₂×C₄	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	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	#6509	C₂×C₄	1	1	yes	characteristic
232	Q₈×Dic₇	C₂×C₄	1	1	yes	characteristic
233	#6507	C₂×C₄	1	1	yes	characteristic
234	#6502	C₂×C₄	1	1	yes	characteristic
235	#6502	C₂×C₄	1	1	yes	characteristic
236	#6501	C₂×C₄	1	1	yes	characteristic
237	#6499	C₂×C₄	1	1	yes	characteristic
238	#6498	C₂×C₄	1	1	yes	characteristic
239	#6498	C₂×C₄	1	1	yes	characteristic
240	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
241	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
242	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
243	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
244	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
245	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
246	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
247	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
248	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
249	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
250	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
251	#6489	C₂×C₄	1	1	yes	characteristic
252	#6489	C₂³	1	1	yes	characteristic
253	#6489	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇	C₂×C₄	1	1	yes	characteristic
255	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
257	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₇	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	C₂×#1131	C₂³	1	1	yes	characteristic
268	C₂×#1131	C₂³	1	1	yes	characteristic
269	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
270	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
271	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
272	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
273	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
274	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
275	#6461	C₂×C₄	1	1	yes	characteristic
276	#6461	C₂×C₄	1	1	yes	characteristic
277	#6461	C₂×C₄	1	1	yes	characteristic
278	#6461	C₂×C₄	1	1	yes	characteristic
279	#6460	C₂×C₄	1	1	yes	characteristic
280	#6460	C₂×C₄	1	1	yes	characteristic
281	#6459	C₂×C₄	1	1	yes	characteristic
282	#6459	C₂×C₄	1	1	yes	characteristic
283	#6459	C₂×C₄	1	1	yes	characteristic
284	#6459	C₂×C₄	1	1	yes	characteristic
285	#6457	C₂×C₄	1	1	yes	characteristic
286	#6457	C₂×C₄	1	1	yes	characteristic
287	#6455	C₂×C₄	1	1	yes	characteristic
288	#6455	C₂×C₄	1	1	yes	characteristic
289	#6455	C₂×C₄	1	1	yes	characteristic
290	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
291	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
292	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
293	#6453	C₂×C₄	1	1	yes	characteristic
294	#6453	C₂×C₄	1	1	yes	characteristic
295	#6453	C₂×C₄	1	1	yes	characteristic
296	#6453	C₂×C₄	1	1	yes	characteristic
297	#6453	C₂×C₄	1	1	yes	characteristic
298	#6452	C₂×C₄	1	1	yes	characteristic
299	#6452	C₂×C₄	1	1	yes	characteristic
300	#6452	C₂×C₄	1	1	yes	characteristic
301	#6452	C₂×C₄	1	1	yes	characteristic
302	#6452	C₂×C₄	1	1	yes	characteristic
303	#6452	C₂×C₄	1	1	yes	characteristic
304	#6451	C₂×C₄	1	1	yes	characteristic
305	#6451	C₂×C₄	1	1	yes	characteristic
306	#6451	C₂×C₄	1	1	yes	characteristic
307	#6451	C₂×C₄	1	1	yes	characteristic
308	#6451	C₂×C₄	1	1	yes	characteristic
309	#6450	C₂×C₄	1	1	yes	characteristic
310	#6450	C₂×C₄	1	1	yes	characteristic
311	#6450	C₂×C₄	1	1	yes	characteristic
312	#6450	C₂×C₄	1	1	yes	characteristic
313	#6450	C₂×C₄	1	1	yes	characteristic
314	#6450	C₂×C₄	1	1	yes	characteristic
315	#6449	C₂×C₄	1	1	yes	characteristic
316	#6449	C₂×C₄	1	1	yes	characteristic
317	#6448	C₂×C₄	1	1	yes	characteristic
318	#6448	C₂×C₄	1	1	yes	characteristic
319	#6448	C₂×C₄	1	1	yes	characteristic
320	#6448	C₂×C₄	1	1	yes	characteristic
321	#6447	C₂×C₄	1	1	yes	characteristic
322	#6447	C₂×C₄	1	1	yes	characteristic
323	#6446	C₂×C₄	1	1	yes	characteristic
324	#6446	C₂×C₄	1	1	yes	characteristic
325	#6446	C₂×C₄	1	1	yes	characteristic
326	#6446	C₂×C₄	1	1	yes	characteristic
327	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
328	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
329	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
330	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
331	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
332	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
333	#6442	C₂×C₄	1	1	yes	characteristic
334	#6442	C₂×C₄	1	1	yes	characteristic
335	#6442	C₂×C₄	1	1	yes	characteristic
336	#6442	C₂×C₄	1	1	yes	characteristic
337	#6442	C₂×C₄	1	1	yes	characteristic
338	#6442	C₂×C₄	1	1	yes	characteristic
339	#6441	C₂×C₄	1	1	yes	characteristic
340	#6441	C₂×C₄	1	1	yes	characteristic
341	#6441	C₂×C₄	1	1	yes	characteristic
342	#6441	C₂×C₄	1	1	yes	characteristic
343	#6441	C₂×C₄	1	1	yes	characteristic
344	#6441	C₂×C₄	1	1	yes	characteristic
345	#6441	C₂×C₄	1	1	yes	characteristic
346	#6441	C₂×C₄	1	1	yes	characteristic
347	#6441	C₂×C₄	1	1	yes	characteristic
348	#6441	C₂×C₄	1	1	yes	characteristic
349	#6440	C₂×C₄	1	1	yes	characteristic
350	#6440	C₂×C₄	1	1	yes	characteristic
351	#6440	C₂×C₄	1	1	yes	characteristic
352	#6440	C₂×C₄	1	1	yes	characteristic
353	#6440	C₂×C₄	1	1	yes	characteristic
354	#6440	C₂×C₄	1	1	yes	characteristic
355	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
356	C₄×D₂₈	C₂³	1	1	yes	characteristic
357	#6435	C₂×C₄	1	1	yes	characteristic
358	#6435	C₂×C₄	1	1	yes	characteristic
359	#6435	C₂³	1	1	yes	characteristic
360	#6435	C₂³	1	1	yes	characteristic
361	C₄²×D₇	C₂³	1	1	yes	characteristic
362	C₄²×D₇	C₂³	1	1	yes	characteristic
363	C₄²×D₇	C₂³	1	1	yes	characteristic
364	C₄²×D₇	C₂³	1	1	yes	characteristic
365	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
366	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
367	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
368	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
369	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
370	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
371	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
372	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
373	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
374	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
375	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
376	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
377	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
378	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
379	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
380	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
381	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
382	C₇×C₄⋊C₈	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
388	C₇×C₄⋊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×#97	C₂³	1	1	yes	characteristic
396	C₇×#97	C₂³	1	1	yes	characteristic
397	C₇×#97	C₂³	1	1	yes	characteristic
398	C₇×#97	C₂³	1	1	yes	characteristic
399	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
400	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
401	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
402	C₂²⋊(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	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
408	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
409	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
410	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
411	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
412	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
413	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
414	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
415	#6389	C₂³	1	1	yes	characteristic
416	#6389	C₂³	1	1	yes	characteristic
417	#6389	C₂³	1	1	yes	characteristic
418	#6389	C₂³	1	1	yes	characteristic
419	#6389	C₂³	1	1	yes	characteristic
420	#6389	C₂³	1	1	yes	characteristic
421	#6389	C₂³	1	1	yes	characteristic
422	#6389	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	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
430	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
431	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
432	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
433	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
434	Dic₇⋊C₈	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	C₈×Dic₇	C₂³	1	1	yes	characteristic
454	C₈×Dic₇	C₂³	1	1	yes	characteristic
455	C₈×Dic₇	C₂³	1	1	yes	characteristic
456	C₈×Dic₇	C₂³	1	1	yes	characteristic
457	C₈×Dic₇	C₂³	1	1	yes	characteristic
458	C₈×Dic₇	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	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
464	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
465	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
466	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
467	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
468	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
469	#6377	C₂³	1	1	yes	characteristic
470	#6377	C₂³	1	1	yes	characteristic
471	#6377	C₂³	1	1	yes	characteristic
472	#6377	C₂³	1	1	yes	characteristic
473	#6377	C₂³	1	1	yes	characteristic
474	#6377	C₂³	1	1	yes	characteristic
475	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
476	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3482	—	7	1	no	—
480	#2995	—	7	1	no	—
481	#2995	D₇	1	1	yes	characteristic, complemented
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	#2989	—	7	1	no	—
489	#2989	—	7	1	no	—
490	#2987	—	7	1	no	—
491	#2987	—	7	1	no	—
492	#2985	—	7	1	no	—
493	#2984	—	7	1	no	—
494	#2983	—	7	1	no	—
495	#2970	—	7	1	no	—
496	#2970	—	7	1	no	—
497	#2970	—	7	1	no	—
498	#2969	—	7	1	no	—
499	#2968	—	7	1	no	—
500	#2968	—	7	1	no	—
501	#2967	—	7	1	no	—
502	#2967	—	7	1	no	—
503	#2966	—	7	1	no	—
504	#2965	—	7	1	no	—
505	Q₈×M₁₆	—	7	1	no	—
506	#2962	—	7	1	no	—
507	#2961	—	7	1	no	—
508	#2961	—	7	1	no	—
509	C₂×#446	—	7	1	no	—
510	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
514	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
515	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
516	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
519	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
521	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
525	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
526	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
527	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
528	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
529	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
530	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
531	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
532	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
533	Q₈×D₇	—	4	2	no	—
534	#1159	—	4	2	no	—
535	#1159	—	4	2	no	—
536	#1159	—	4	2	no	—
537	#1157	—	4	2	no	—
538	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
549	C₂×Dic₁₄	—	4	2	no	—
550	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
551	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
552	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
553	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
554	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
555	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
556	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
557	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
558	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
559	C₇×M₁₆	—	4	1	no	—
560	C₇×M₁₆	—	4	1	no	—
561	C₇×M₁₆	—	4	1	no	—
562	C₇×M₁₆	—	4	1	no	—
563	C₂×C₇×C₈	—	4	1	no	—
564	C₂×C₇×C₈	—	4	1	no	—
565	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
573	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
594	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
595	C₄²×C₇	C₂⁴	1	1	yes	characteristic
596	C₄²×C₇	C₂⁴	1	1	yes	characteristic
597	C₄²×C₇	C₂⁴	1	1	yes	characteristic
598	C₄²×C₇	C₂⁴	1	1	yes	characteristic
599	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
600	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
601	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
602	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
603	C₂²⋊Dic₇	C₂²×C₄	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	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
627	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
628	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
629	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
630	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
631	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
632	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
633	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
634	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
635	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	Dic₇⋊C₄	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	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
664	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
665	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
666	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
667	C₄×Dic₇	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	C₂⁴	1	1	yes	characteristic
680	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
681	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
682	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
683	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
684	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
685	#1136	—	2	2	no	—
686	#1136	—	2	2	no	—
687	#1136	—	4	1	no	—
688	#1136	—	4	1	no	—
689	C₂×C₇⋊C₈	—	2	2	no	—
690	C₂×C₇⋊C₈	—	4	1	no	—
691	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
693	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
694	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
695	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
696	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
697	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
698	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
699	#1131	—	4	1	no	—
700	#1131	—	4	1	no	—
701	C₈×D₇	—	2	2	no	—
702	C₈×D₇	—	2	2	no	—
703	C₈×D₇	—	4	1	no	—
704	C₈×D₇	—	4	1	no	—
705	C₈×D₇	—	4	1	no	—
706	C₈×D₇	—	4	1	no	—
707	#557	—	7	1	no	—
708	#556	—	7	1	no	—
709	#556	—	7	1	no	—
710	#556	—	7	1	no	—
711	#552	—	7	1	no	—
712	#552	—	7	1	no	—
713	#552	—	7	1	no	—
714	#552	—	7	1	no	—
715	#552	—	7	1	no	—
716	#552	—	7	1	no	—
717	D₄×Q₈	—	7	1	no	—
718	#548	—	7	1	no	—
719	#548	—	7	1	no	—
720	#547	—	7	1	no	—
721	#547	—	7	1	no	—
722	#547	—	7	1	no	—
723	#533	—	7	1	no	—
724	#533	—	7	1	no	—
725	#533	—	7	1	no	—
726	#529	—	7	1	no	—
727	#529	—	7	1	no	—
728	#529	—	7	1	no	—
729	#529	—	7	1	no	—
730	#529	—	7	1	no	—
731	#529	C₂×D₇	1	1	yes	characteristic
732	C₄×#41	—	7	1	no	—
733	C₄×#41	—	7	1	no	—
734	C₄×#41	—	7	1	no	—
735	C₄×#41	—	7	1	no	—
736	C₂×C₄×Q₈	—	7	1	no	—
737	C₂×C₄×Q₈	—	7	1	no	—
738	#446	—	7	1	no	—
739	#446	—	7	1	no	—
740	#446	—	7	1	no	—
741	#446	—	7	1	no	—
742	#446	—	7	1	no	—
743	#446	—	7	1	no	—
744	#446	—	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	#446	—	7	1	no	—
760	#446	—	7	1	no	—
761	#446	—	7	1	no	—
762	#446	—	7	1	no	—
763	#446	—	7	1	no	—
764	#446	—	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	C₂×D₇	1	1	yes	characteristic
773	#446	C₂×D₇	1	1	yes	characteristic
774	C₈×Q₈	—	7	1	no	—
775	C₈×Q₈	—	7	1	no	—
776	C₈×Q₈	—	7	1	no	—
777	C₈×Q₈	—	7	1	no	—
778	#436	—	7	1	no	—
779	#436	—	7	1	no	—
780	#436	—	7	1	no	—
781	#436	—	7	1	no	—
782	#436	—	7	1	no	—
783	#436	—	7	1	no	—
784	#436	C₂×D₇	1	1	yes	characteristic
785	#436	C₂×D₇	1	1	yes	characteristic
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	—	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	C₂×D₇	1	1	yes	characteristic
807	#435	C₂×D₇	1	1	yes	characteristic
808	#435	C₂×D₇	1	1	yes	characteristic
809	#435	C₂×D₇	1	1	yes	characteristic
810	C₈×D₄	—	7	1	no	—
811	C₈×D₄	—	7	1	no	—
812	C₈×D₄	—	7	1	no	—
813	C₈×D₄	—	7	1	no	—
814	C₈×D₄	—	7	1	no	—
815	C₈×D₄	—	7	1	no	—
816	C₈×D₄	—	7	1	no	—
817	C₈×D₄	—	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	#433	—	7	1	no	—
826	#433	—	7	1	no	—
827	#433	—	7	1	no	—
828	#433	C₂×D₇	1	1	yes	characteristic
829	#433	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
839	#432	—	7	1	no	—
840	#432	—	7	1	no	—
841	#432	C₂×D₇	1	1	yes	characteristic
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	#424	—	7	1	no	—
849	#424	—	7	1	no	—
850	#424	—	7	1	no	—
851	#424	—	7	1	no	—
852	#424	C₂×D₇	1	1	yes	characteristic
853	#424	C₂×D₇	1	1	yes	characteristic
854	#423	—	7	1	no	—
855	#423	—	7	1	no	—
856	#423	—	7	1	no	—
857	#423	—	7	1	no	—
858	#423	C₂×D₇	1	1	yes	characteristic
859	C₂×C₄⋊C₈	—	7	1	no	—
860	C₂×C₄⋊C₈	—	7	1	no	—
861	C₂×C₄⋊C₈	—	7	1	no	—
862	C₂×C₄⋊C₈	—	7	1	no	—
863	#405	—	7	1	no	—
864	#405	—	7	1	no	—
865	#405	—	7	1	no	—
866	#405	—	7	1	no	—
867	#405	—	7	1	no	—
868	#405	—	7	1	no	—
869	C₄×M₁₆	—	7	1	no	—
870	C₄×M₁₆	—	7	1	no	—
871	C₄×M₁₆	—	7	1	no	—
872	C₄×M₁₆	—	7	1	no	—
873	C₂×#97	—	7	1	no	—
874	C₂×#97	—	7	1	no	—
875	C₂×#97	—	7	1	no	—
876	C₂×#97	—	7	1	no	—
877	C₂×C₄×C₈	—	7	1	no	—
878	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
879	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
880	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
881	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
882	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
883	C₇×Q₈	—	4	1	no	—
884	C₇×D₄	—	4	1	no	—
885	C₇×D₄	—	4	1	no	—
886	C₇×D₄	—	4	1	no	—
887	C₂×C₄×C₇	—	2	1	no	—
888	C₂×C₄×C₇	—	2	1	no	—
889	C₂×C₄×C₇	—	2	1	no	—
890	C₂×C₄×C₇	—	2	1	no	—
891	C₂×C₄×C₇	—	2	1	no	—
892	C₂×C₄×C₇	—	2	1	no	—
893	C₂×C₄×C₇	—	4	1	no	—
894	C₂×C₄×C₇	—	4	1	no	—
895	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
896	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
897	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
898	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
899	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
900	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
901	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
902	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
903	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
904	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
905	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
906	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
907	C₂²⋊D₇	—	2	2	no	—
908	C₂²⋊D₇	—	2	2	no	—
909	C₂²⋊D₇	—	2	2	no	—
910	C₂²⋊D₇	—	2	2	no	—
911	C₂²⋊D₇	—	4	1	no	—
912	C₂²⋊D₇	—	4	1	no	—
913	C₂×Dic₇	—	2	2	no	—
914	C₂×Dic₇	—	2	2	no	—
915	C₂×Dic₇	—	4	1	no	—
916	C₂×Dic₇	—	4	1	no	—
917	C₂×Dic₇	—	4	1	no	—
918	C₂×Dic₇	—	4	1	no	—
919	C₂×Dic₇	—	4	1	no	—
920	C₂×Dic₇	—	4	1	no	—
921	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
922	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
923	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
924	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
925	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
926	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
927	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
928	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
929	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
930	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
931	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
932	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
933	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
934	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
935	D₂₈	—	2	2	no	—
936	C₄×D₇	—	2	2	no	—
937	C₄×D₇	—	2	2	no	—
938	C₄×D₇	—	2	2	no	—
939	C₄×D₇	—	2	1	no	—
940	C₄×D₇	—	2	1	no	—
941	C₄×D₇	—	2	1	no	—
942	C₄×D₇	—	2	1	no	—
943	C₄×D₇	—	2	2	no	—
944	C₄×D₇	—	4	1	no	—
945	C₄×D₇	—	4	1	no	—
946	C₄×D₇	—	4	1	no	—
947	C₄×D₇	—	4	1	no	—
948	Dic₁₄	—	2	2	no	—
949	Dic₁₄	—	2	2	no	—
950	Dic₁₄	—	2	2	no	—
951	Dic₁₄	—	4	1	no	—
952	Dic₁₄	—	4	1	no	—
953	Dic₁₄	—	4	1	no	—
954	Dic₁₄	—	4	1	no	—
955	Dic₁₄	—	4	1	no	—
956	Dic₁₄	—	4	1	no	—
957	C₇×C₈	—	2	1	no	—
958	C₇×C₈	—	2	1	no	—
959	C₇×C₈	—	2	1	no	—
960	C₇×C₈	—	2	1	no	—
961	C₇×C₈	—	2	1	no	—
962	C₇×C₈	—	2	1	no	—
963	C₇×C₈	—	2	1	no	—
964	C₇×C₈	—	2	1	no	—
965	C₇⋊C₈	—	2	1	no	—
966	C₇⋊C₈	—	2	1	no	—
967	C₇⋊C₈	—	2	1	no	—
968	C₇⋊C₈	—	2	1	no	—
969	C₇⋊C₈	—	2	1	no	—
970	C₇⋊C₈	—	2	1	no	—
971	C₇⋊C₈	—	2	1	no	—
972	C₇⋊C₈	2₋¹⁺⁴	1	2	yes	—
973	C₂×#41	—	7	1	no	—
974	C₂×#41	—	7	1	no	—
975	C₂×#41	—	7	1	no	—
976	C₂×#41	—	7	1	no	—
977	C₂²×Q₈	—	7	1	no	—
978	C₂²×Q₈	—	7	1	no	—
979	C₂×M₁₆	—	7	1	no	—
980	C₂×M₁₆	—	7	1	no	—
981	C₂×M₁₆	—	7	1	no	—
982	C₂×M₁₆	—	7	1	no	—
983	C₂×M₁₆	—	7	1	no	—
984	C₂×M₁₆	—	7	1	no	—
985	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
986	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
987	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
988	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
989	C₂²×C₈	—	7	1	no	—
990	C₂²×C₈	—	7	1	no	—
991	C₂²×C₈	—	7	1	no	—
992	C₂²×C₈	—	7	1	no	—
993	C₂²×C₈	—	7	1	no	—
994	C₂²×C₈	—	7	1	no	—
995	C₂²×C₈	—	7	1	no	—
996	C₂²×C₈	—	7	1	no	—
997	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
998	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
999	C₄⋊Q₈	—	7	1	no	—
1000	C₄⋊Q₈	—	7	1	no	—
1001	C₄⋊Q₈	—	7	1	no	—
1002	C₄⋊Q₈	—	7	1	no	—
1003	C₄⋊Q₈	—	7	1	no	—
1004	C₄⋊Q₈	—	7	1	no	—
1005	#126	—	7	1	no	—
1006	#126	—	7	1	no	—
1007	#126	—	7	1	no	—
1008	#126	—	7	1	no	—
1009	#126	—	7	1	no	—
1010	#126	—	7	1	no	—
1011	#126	—	7	1	no	—
1012	#126	—	7	1	no	—
1013	#126	—	7	1	no	—
1014	#126	—	7	1	no	—
1015	#126	C₄×D₇	1	1	yes	characteristic
1016	#126	C₄×D₇	1	1	yes	characteristic
1017	#125	—	7	1	no	—
1018	#125	—	7	1	no	—
1019	#125	—	7	1	no	—
1020	#125	—	7	1	no	—
1021	#125	—	7	1	no	—
1022	#125	—	7	1	no	—
1023	#125	—	7	1	no	—
1024	#125	—	7	1	no	—
1025	#125	—	7	1	no	—
1026	#125	—	7	1	no	—
1027	#125	—	7	1	no	—
1028	#125	C₄×D₇	1	1	yes	characteristic
1029	#124	—	7	1	no	—
1030	#124	—	7	1	no	—
1031	#124	—	7	1	no	—
1032	#124	—	7	1	no	—
1033	#124	—	7	1	no	—
1034	#124	C₄×D₇	1	1	yes	characteristic
1035	#123	—	7	1	no	—
1036	#123	—	7	1	no	—
1037	#123	—	7	1	no	—
1038	#123	—	7	1	no	—
1039	#123	—	7	1	no	—
1040	#123	—	7	1	no	—
1041	#123	—	7	1	no	—
1042	#123	—	7	1	no	—
1043	#123	—	7	1	no	—
1044	#123	—	7	1	no	—
1045	#123	C₄×D₇	1	1	yes	characteristic
1046	#123	C₄×D₇	1	1	yes	characteristic
1047	C₂²⋊Q₈	—	7	1	no	—
1048	C₂²⋊Q₈	—	7	1	no	—
1049	C₂²⋊Q₈	—	7	1	no	—
1050	C₂²⋊Q₈	—	7	1	no	—
1051	C₂²⋊Q₈	—	7	1	no	—
1052	C₂²⋊Q₈	—	7	1	no	—
1053	C₂²⋊Q₈	—	7	1	no	—
1054	C₂²⋊Q₈	—	7	1	no	—
1055	C₂²⋊Q₈	—	7	1	no	—
1056	C₂²⋊Q₈	—	7	1	no	—
1057	C₂²⋊Q₈	—	7	1	no	—
1058	C₂²⋊Q₈	—	7	1	no	—
1059	C₂²⋊Q₈	—	7	1	no	—
1060	C₂²⋊Q₈	—	7	1	no	—
1061	C₂²⋊Q₈	—	7	1	no	—
1062	C₂²⋊Q₈	—	7	1	no	—
1063	C₂²⋊Q₈	—	7	1	no	—
1064	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1065	#121	—	7	1	no	—
1066	#121	—	7	1	no	—
1067	#121	—	7	1	no	—
1068	#121	—	7	1	no	—
1069	#121	—	7	1	no	—
1070	#121	C₄×D₇	1	1	yes	characteristic
1071	C₄×Q₈	—	7	1	no	—
1072	C₄×Q₈	—	7	1	no	—
1073	C₄×Q₈	—	7	1	no	—
1074	C₄×Q₈	—	7	1	no	—
1075	C₄×Q₈	—	7	1	no	—
1076	C₄×Q₈	—	7	1	no	—
1077	C₄×Q₈	—	7	1	no	—
1078	C₄×Q₈	—	7	1	no	—
1079	C₄×Q₈	—	7	1	no	—
1080	C₄×Q₈	—	7	1	no	—
1081	C₄×Q₈	—	7	1	no	—
1082	C₄×Q₈	—	7	1	no	—
1083	C₄×Q₈	—	7	1	no	—
1084	C₄×Q₈	—	7	1	no	—
1085	C₄×Q₈	—	7	1	no	—
1086	C₄×Q₈	—	7	1	no	—
1087	C₄×Q₈	—	7	1	no	—
1088	C₄×Q₈	—	7	1	no	—
1089	C₄×Q₈	—	7	1	no	—
1090	C₄×Q₈	—	7	1	no	—
1091	C₄×Q₈	—	7	1	no	—
1092	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1093	C₄×D₄	—	7	1	no	—
1094	C₄×D₄	—	7	1	no	—
1095	C₄×D₄	—	7	1	no	—
1096	C₄×D₄	—	7	1	no	—
1097	C₄×D₄	—	7	1	no	—
1098	C₄×D₄	—	7	1	no	—
1099	C₄×D₄	—	7	1	no	—
1100	C₄×D₄	—	7	1	no	—
1101	C₄×D₄	—	7	1	no	—
1102	C₄×D₄	—	7	1	no	—
1103	C₄×D₄	—	7	1	no	—
1104	C₄×D₄	—	7	1	no	—
1105	C₄×D₄	—	7	1	no	—
1106	C₄×D₄	—	7	1	no	—
1107	C₄×D₄	—	7	1	no	—
1108	C₄×D₄	—	7	1	no	—
1109	C₄×D₄	—	7	1	no	—
1110	C₄×D₄	—	7	1	no	—
1111	C₄×D₄	—	7	1	no	—
1112	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1113	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1114	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1115	#117	—	7	1	no	—
1116	#117	—	7	1	no	—
1117	#117	—	7	1	no	—
1118	#117	—	7	1	no	—
1119	#117	—	7	1	no	—
1120	#117	—	7	1	no	—
1121	#117	—	7	1	no	—
1122	#117	—	7	1	no	—
1123	#117	—	7	1	no	—
1124	#117	—	7	1	no	—
1125	#117	—	7	1	no	—
1126	#117	—	7	1	no	—
1127	#117	—	7	1	no	—
1128	#117	—	7	1	no	—
1129	#117	—	7	1	no	—
1130	#117	—	7	1	no	—
1131	#117	C₂²×D₇	1	1	yes	characteristic
1132	#117	C₂²×D₇	1	1	yes	characteristic
1133	C₂×C₄⋊C₄	—	7	1	no	—
1134	C₂×C₄⋊C₄	—	7	1	no	—
1135	C₂×C₄⋊C₄	—	7	1	no	—
1136	C₂×C₄⋊C₄	—	7	1	no	—
1137	C₂×C₄⋊C₄	—	7	1	no	—
1138	C₂×C₄⋊C₄	—	7	1	no	—
1139	C₂×C₄²	—	7	1	no	—
1140	C₂×C₄²	—	7	1	no	—
1141	C₂×C₄²	—	7	1	no	—
1142	C₂×C₄²	—	7	1	no	—
1143	C₂×C₄²	—	7	1	no	—
1144	C₂×C₄²	—	7	1	no	—
1145	C₂×C₄²	—	7	1	no	—
1146	C₂×C₄²	—	7	1	no	—
1147	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1148	C₄⋊C₈	—	7	1	no	—
1149	C₄⋊C₈	—	7	1	no	—
1150	C₄⋊C₈	—	7	1	no	—
1151	C₄⋊C₈	—	7	1	no	—
1152	C₄⋊C₈	—	7	1	no	—
1153	C₄⋊C₈	—	7	1	no	—
1154	C₄⋊C₈	—	7	1	no	—
1155	C₄⋊C₈	—	7	1	no	—
1156	C₄⋊C₈	—	7	1	no	—
1157	C₄⋊C₈	—	7	1	no	—
1158	C₄⋊C₈	—	7	1	no	—
1159	C₄⋊C₈	—	7	1	no	—
1160	C₄⋊C₈	—	7	1	no	—
1161	C₄⋊C₈	—	7	1	no	—
1162	C₄⋊C₈	—	7	1	no	—
1163	C₄⋊C₈	—	7	1	no	—
1164	C₄⋊C₈	—	7	1	no	—
1165	C₄⋊C₈	—	7	1	no	—
1166	C₄⋊C₈	—	7	1	no	—
1167	C₄⋊C₈	—	7	1	no	—
1168	C₄⋊C₈	—	7	1	no	—
1169	C₄⋊C₈	—	7	1	no	—
1170	C₄⋊C₈	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1179	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1180	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1181	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1182	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1183	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1184	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1185	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1186	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1187	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1188	C₂²⋊C₈	—	7	1	no	—
1189	C₂²⋊C₈	—	7	1	no	—
1190	C₂²⋊C₈	—	7	1	no	—
1191	C₂²⋊C₈	—	7	1	no	—
1192	C₂²⋊C₈	—	7	1	no	—
1193	C₂²⋊C₈	—	7	1	no	—
1194	C₂²⋊C₈	—	7	1	no	—
1195	C₂²⋊C₈	—	7	1	no	—
1196	C₂²⋊C₈	—	7	1	no	—
1197	C₂²⋊C₈	—	7	1	no	—
1198	C₂²⋊C₈	—	7	1	no	—
1199	C₂²⋊C₈	—	7	1	no	—
1200	C₂²⋊C₈	—	7	1	no	—
1201	C₂²⋊C₈	—	7	1	no	—
1202	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1203	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1204	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1205	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1206	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1207	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1208	#97	—	7	1	no	—
1209	#97	—	7	1	no	—
1210	#97	—	7	1	no	—
1211	#97	—	7	1	no	—
1212	#97	—	7	1	no	—
1213	#97	—	7	1	no	—
1214	#97	—	7	1	no	—
1215	#97	—	7	1	no	—
1216	#97	—	7	1	no	—
1217	#97	—	7	1	no	—
1218	#97	—	7	1	no	—
1219	#97	—	7	1	no	—
1220	#97	—	7	1	no	—
1221	#97	—	7	1	no	—
1222	#97	—	7	1	no	—
1223	#97	—	7	1	no	—
1224	#97	—	7	1	no	—
1225	#97	—	7	1	no	—
1226	#97	—	7	1	no	—
1227	#97	—	7	1	no	—
1228	#97	C₂²×D₇	1	1	yes	characteristic
1229	#97	C₂²×D₇	1	1	yes	characteristic
1230	#97	C₂²×D₇	1	1	yes	characteristic
1231	#97	C₂²×D₇	1	1	yes	characteristic
1232	C₄×C₈	—	7	1	no	—
1233	C₄×C₈	—	7	1	no	—
1234	C₄×C₈	—	7	1	no	—
1235	C₄×C₈	—	7	1	no	—
1236	C₄×C₈	—	7	1	no	—
1237	C₄×C₈	—	7	1	no	—
1238	C₄×C₈	—	7	1	no	—
1239	C₄×C₈	—	7	1	no	—
1240	C₄×C₈	—	7	1	no	—
1241	C₄×C₈	—	7	1	no	—
1242	C₄×C₈	—	7	1	no	—
1243	C₄×C₈	—	7	1	no	—
1244	C₄×C₈	—	7	1	no	—
1245	C₄×C₈	—	7	1	no	—
1246	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1247	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1248	C₂²×C₇	—	2	1	no	—
1249	C₂²×C₇	—	2	1	no	—
1250	C₂²×C₇	—	2	1	no	—
1251	C₂²×C₇	—	2	1	no	—
1252	C₂²×C₇	—	2	1	no	—
1253	C₂²×C₇	—	2	1	no	—
1254	C₂²×C₇	—	2	1	no	—
1255	C₂²×C₇	—	2	1	no	—
1256	C₂²×C₇	—	2	1	no	—
1257	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1258	C₂×D₇	—	2	1	no	—
1259	C₂×D₇	—	2	1	no	—
1260	C₂×D₇	—	2	1	no	—
1261	C₂×D₇	—	2	1	no	—
1262	C₂×D₇	—	2	1	no	—
1263	C₂×D₇	#568	1	2	yes	—
1264	C₄×C₇	—	2	1	no	—
1265	C₄×C₇	—	2	1	no	—
1266	C₄×C₇	—	2	1	no	—
1267	C₄×C₇	—	2	1	no	—
1268	C₄×C₇	—	2	1	no	—
1269	C₄×C₇	—	2	1	no	—
1270	C₄×C₇	—	2	1	no	—
1271	C₄×C₇	—	2	1	no	—
1272	C₄×C₇	—	2	1	no	—
1273	C₄×C₇	—	2	1	no	—
1274	C₄×C₇	—	2	1	no	—
1275	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1276	C₄×C₇	#585	1	1	yes	characteristic
1277	Dic₇	—	2	1	no	—
1278	Dic₇	—	2	1	no	—
1279	Dic₇	—	2	1	no	—
1280	Dic₇	—	2	1	no	—
1281	Dic₇	—	2	1	no	—
1282	Dic₇	—	2	1	no	—
1283	Dic₇	—	2	1	no	—
1284	Dic₇	—	2	1	no	—
1285	Dic₇	—	2	1	no	—
1286	Dic₇	—	2	1	no	—
1287	Dic₇	—	2	1	no	—
1288	Dic₇	—	2	1	no	—
1289	Dic₇	—	2	1	no	—
1290	Dic₇	#568	1	2	yes	—
1291	#41	—	28	2	no	—
1292	#41	—	28	2	no	—
1293	#41	—	28	2	no	—
1294	#41	—	28	2	no	—
1295	C₂×Q₈	—	7	1	no	—
1296	C₂×Q₈	—	7	1	no	—
1297	C₂×Q₈	—	7	1	no	—
1298	C₂×Q₈	—	7	1	no	—
1299	C₂×Q₈	—	7	1	no	—
1300	C₂×Q₈	—	7	1	no	—
1301	C₂×Q₈	—	7	1	no	—
1302	C₂×Q₈	—	7	1	no	—
1303	C₂×Q₈	—	7	1	no	—
1304	C₂×Q₈	—	28	2	no	—
1305	C₂×Q₈	—	28	2	no	—
1306	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1307	C₂×D₄	—	7	1	no	—
1308	C₂×D₄	—	7	1	no	—
1309	C₂×D₄	—	7	1	no	—
1310	C₂×D₄	—	7	1	no	—
1311	C₂×D₄	—	7	1	no	—
1312	C₂×D₄	—	7	1	no	—
1313	C₂×D₄	—	7	1	no	—
1314	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1315	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1316	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1317	C₂²×C₄	—	7	1	no	—
1318	C₂²×C₄	—	7	1	no	—
1319	C₂²×C₄	—	7	1	no	—
1320	C₂²×C₄	—	7	1	no	—
1321	C₂²×C₄	—	7	1	no	—
1322	C₂²×C₄	—	7	1	no	—
1323	C₂²×C₄	—	7	1	no	—
1324	C₂²×C₄	—	7	1	no	—
1325	C₂²×C₄	—	7	1	no	—
1326	C₂²×C₄	—	7	1	no	—
1327	C₂²×C₄	—	7	1	no	—
1328	C₂²×C₄	—	7	1	no	—
1329	C₂²×C₄	—	7	1	no	—
1330	C₂²×C₄	—	7	1	no	—
1331	C₂²×C₄	—	7	1	no	—
1332	C₂²×C₄	—	7	1	no	—
1333	C₂²×C₄	—	7	1	no	—
1334	C₂²×C₄	—	7	1	no	—
1335	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1336	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1337	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1338	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1339	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1340	M₁₆	—	4	1	no	—
1341	M₁₆	—	4	1	no	—
1342	M₁₆	—	4	1	no	—
1343	M₁₆	—	4	1	no	—
1344	M₁₆	—	14	2	no	—
1345	M₁₆	—	14	2	no	—
1346	M₁₆	—	28	1	no	—
1347	M₁₆	—	28	1	no	—
1348	M₁₆	—	28	1	no	—
1349	M₁₆	—	28	1	no	—
1350	C₂×C₈	—	4	1	no	—
1351	C₂×C₈	—	4	1	no	—
1352	C₂×C₈	—	7	1	no	—
1353	C₂×C₈	—	7	1	no	—
1354	C₂×C₈	—	7	1	no	—
1355	C₂×C₈	—	7	1	no	—
1356	C₂×C₈	—	7	1	no	—
1357	C₂×C₈	—	7	1	no	—
1358	C₂×C₈	—	7	1	no	—
1359	C₂×C₈	—	7	1	no	—
1360	C₂×C₈	—	14	2	no	—
1361	C₂×C₈	—	14	2	no	—
1362	C₂×C₈	—	14	2	no	—
1363	C₂×C₈	—	28	1	no	—
1364	C₂×C₈	—	28	1	no	—
1365	C₂×C₈	—	28	1	no	—
1366	C₂×C₈	—	28	1	no	—
1367	C₂×C₈	—	28	1	no	—
1368	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1369	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1370	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1371	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1372	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1373	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1374	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1375	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1376	C₄⋊C₄	—	7	1	no	—
1377	C₄⋊C₄	—	7	1	no	—
1378	C₄⋊C₄	—	7	1	no	—
1379	C₄⋊C₄	—	7	1	no	—
1380	C₄⋊C₄	—	7	1	no	—
1381	C₄⋊C₄	—	7	1	no	—
1382	C₄⋊C₄	—	7	1	no	—
1383	C₄⋊C₄	—	7	1	no	—
1384	C₄⋊C₄	—	7	1	no	—
1385	C₄⋊C₄	—	7	1	no	—
1386	C₄⋊C₄	—	7	1	no	—
1387	C₄⋊C₄	—	7	1	no	—
1388	C₄⋊C₄	—	7	1	no	—
1389	C₄⋊C₄	—	7	1	no	—
1390	C₄⋊C₄	—	7	1	no	—
1391	C₄⋊C₄	—	7	1	no	—
1392	C₄⋊C₄	—	7	1	no	—
1393	C₄⋊C₄	—	7	1	no	—
1394	C₄⋊C₄	—	7	1	no	—
1395	C₄⋊C₄	—	7	1	no	—
1396	C₄⋊C₄	—	7	1	no	—
1397	C₄⋊C₄	—	7	1	no	—
1398	C₄⋊C₄	—	7	1	no	—
1399	C₄⋊C₄	—	7	1	no	—
1400	C₄⋊C₄	—	7	1	no	—
1401	C₄⋊C₄	—	7	1	no	—
1402	C₄⋊C₄	—	7	1	no	—
1403	C₄⋊C₄	—	7	1	no	—
1404	C₄⋊C₄	—	7	1	no	—
1405	C₄⋊C₄	—	7	1	no	—
1406	C₄⋊C₄	—	7	1	no	—
1407	C₄⋊C₄	—	7	1	no	—
1408	C₄⋊C₄	—	7	1	no	—
1409	C₄⋊C₄	—	7	1	no	—
1410	C₄⋊C₄	—	7	1	no	—
1411	C₄⋊C₄	—	7	1	no	—
1412	C₄⋊C₄	—	7	1	no	—
1413	C₄⋊C₄	—	7	1	no	—
1414	C₄⋊C₄	—	7	1	no	—
1415	C₄⋊C₄	—	7	1	no	—
1416	C₄⋊C₄	—	7	1	no	—
1417	C₄⋊C₄	—	7	1	no	—
1418	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1419	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1420	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1421	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1422	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1428	C₂²⋊C₄	—	7	1	no	—
1429	C₂²⋊C₄	—	7	1	no	—
1430	C₂²⋊C₄	—	7	1	no	—
1431	C₂²⋊C₄	—	7	1	no	—
1432	C₂²⋊C₄	—	7	1	no	—
1433	C₂²⋊C₄	—	7	1	no	—
1434	C₂²⋊C₄	—	7	1	no	—
1435	C₂²⋊C₄	—	7	1	no	—
1436	C₂²⋊C₄	—	7	1	no	—
1437	C₂²⋊C₄	—	7	1	no	—
1438	C₂²⋊C₄	—	7	1	no	—
1439	C₂²⋊C₄	—	7	1	no	—
1440	C₂²⋊C₄	—	7	1	no	—
1441	C₂²⋊C₄	—	7	1	no	—
1442	C₂²⋊C₄	—	7	1	no	—
1443	C₂²⋊C₄	—	7	1	no	—
1444	C₂²⋊C₄	—	7	1	no	—
1445	C₂²⋊C₄	—	7	1	no	—
1446	C₂²⋊C₄	—	7	1	no	—
1447	C₂²⋊C₄	—	7	1	no	—
1448	C₂²⋊C₄	—	7	1	no	—
1449	C₂²⋊C₄	—	7	1	no	—
1450	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1451	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1452	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1453	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1454	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1456	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1457	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1458	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1460	C₄²	—	7	1	no	—
1461	C₄²	—	7	1	no	—
1462	C₄²	—	7	1	no	—
1463	C₄²	—	7	1	no	—
1464	C₄²	—	7	1	no	—
1465	C₄²	—	7	1	no	—
1466	C₄²	—	7	1	no	—
1467	C₄²	—	7	1	no	—
1468	C₄²	—	7	1	no	—
1469	C₄²	—	7	1	no	—
1470	C₄²	—	7	1	no	—
1471	C₄²	—	7	1	no	—
1472	C₄²	—	7	1	no	—
1473	C₄²	—	7	1	no	—
1474	C₄²	—	7	1	no	—
1475	C₄²	—	7	1	no	—
1476	C₄²	—	7	1	no	—
1477	C₄²	—	7	1	no	—
1478	C₄²	—	7	1	no	—
1479	C₄²	—	7	1	no	—
1480	C₄²	—	7	1	no	—
1481	C₄²	—	7	1	no	—
1482	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1483	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1484	C₄²	C₂³×D₇	1	1	yes	characteristic
1485	C₄²	C₂³×D₇	1	1	yes	characteristic
1486	C₄²	C₂³×D₇	1	1	yes	characteristic
1487	C₄²	C₂³×D₇	1	1	yes	characteristic
1488	C₂×C₇	—	4	1	no	—
1489	C₂×C₇	—	4	1	no	—
1490	C₂×C₇	—	4	1	no	—
1491	C₂×C₇	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1492	C₂×C₇	C₂×#568	1	1	yes	characteristic
1493	C₂×C₇	C₂×#568	1	1	yes	characteristic
1494	D₇	—	2	2	no	—
1495	D₇	—	4	1	no	—
1496	C₂³	—	7	1	no	—
1497	C₂³	—	7	1	no	—
1498	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1499	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1500	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1501	Q₈	—	4	1	no	—
1502	Q₈	—	14	2	no	—
1503	Q₈	—	14	2	no	—
1504	Q₈	—	14	2	no	—
1505	Q₈	—	28	1	no	—
1506	Q₈	—	28	1	no	—
1507	Q₈	—	28	1	no	—
1508	Q₈	—	28	1	no	—
1509	Q₈	—	28	1	no	—
1510	Q₈	—	28	1	no	—
1511	D₄	—	4	1	no	—
1512	D₄	—	4	1	no	—
1513	D₄	—	4	1	no	—
1514	D₄	—	14	2	no	—
1515	D₄	—	14	2	no	—
1516	D₄	—	14	2	no	—
1517	D₄	—	14	2	no	—
1518	D₄	—	14	2	no	—
1519	D₄	—	28	1	no	—
1520	D₄	—	28	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	4	1	no	—
1528	C₂×C₄	—	4	1	no	—
1529	C₂×C₄	—	7	1	no	—
1530	C₂×C₄	—	7	1	no	—
1531	C₂×C₄	—	7	1	no	—
1532	C₂×C₄	—	7	1	no	—
1533	C₂×C₄	—	7	1	no	—
1534	C₂×C₄	—	7	1	no	—
1535	C₂×C₄	—	7	1	no	—
1536	C₂×C₄	—	7	1	no	—
1537	C₂×C₄	—	7	1	no	—
1538	C₂×C₄	—	7	1	no	—
1539	C₂×C₄	—	7	1	no	—
1540	C₂×C₄	—	7	1	no	—
1541	C₂×C₄	—	7	1	no	—
1542	C₂×C₄	—	7	1	no	—
1543	C₂×C₄	—	14	2	no	—
1544	C₂×C₄	—	14	2	no	—
1545	C₂×C₄	—	14	2	no	—
1546	C₂×C₄	—	14	2	no	—
1547	C₂×C₄	—	14	2	no	—
1548	C₂×C₄	—	14	2	no	—
1549	C₂×C₄	—	14	1	no	—
1550	C₂×C₄	—	14	1	no	—
1551	C₂×C₄	—	14	1	no	—
1552	C₂×C₄	—	14	1	no	—
1553	C₂×C₄	—	28	1	no	—
1554	C₂×C₄	—	28	1	no	—
1555	C₂×C₄	—	28	1	no	—
1556	C₂×C₄	—	28	1	no	—
1557	C₂×C₄	—	28	1	no	—
1558	C₂×C₄	—	28	1	no	—
1559	C₂×C₄	—	28	1	no	—
1560	C₂×C₄	—	28	1	no	—
1561	C₂×C₄	—	28	1	no	—
1562	C₂×C₄	—	28	1	no	—
1563	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1564	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1565	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1566	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1567	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1568	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1569	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1570	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1571	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1572	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1573	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1574	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1575	C₈	—	2	1	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	2	1	no	—
1580	C₈	—	2	1	no	—
1581	C₈	—	2	1	no	—
1582	C₈	—	2	1	no	—
1583	C₈	—	7	2	no	—
1584	C₈	—	14	1	no	—
1585	C₈	—	14	1	no	—
1586	C₈	—	14	1	no	—
1587	C₈	—	14	1	no	—
1588	C₈	—	14	1	no	—
1589	C₈	—	14	1	no	—
1590	C₈	—	14	1	no	—
1591	C₇	#60342	1	1	yes	characteristic, complemented, Sylow
1592	C₂²	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	2	1	no	—
1601	C₂²	—	7	2	no	—
1602	C₂²	—	14	1	no	—
1603	C₂²	—	14	1	no	—
1604	C₂²	—	14	1	no	—
1605	C₂²	—	14	1	no	—
1606	C₂²	—	14	1	no	—
1607	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1608	C₄	—	2	1	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	7	2	no	—
1620	C₄	—	14	1	no	—
1621	C₄	—	14	1	no	—
1622	C₄	—	14	1	no	—
1623	C₄	—	14	1	no	—
1624	C₄	—	14	1	no	—
1625	C₄	—	14	1	no	—
1626	C₄	—	14	1	no	—
1627	C₄	—	14	1	no	—
1628	C₄	—	14	1	no	—
1629	C₄	—	14	1	no	—
1630	C₄	—	14	1	no	—
1631	C₄	—	14	1	no	—
1632	C₄	—	14	1	no	—
1633	C₄	#90618	1	1	yes	characteristic
1634	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1635	C₂	—	4	1	no	—
1636	C₂	—	4	1	no	—
1637	C₂	—	4	1	no	—
1638	C₂	—	14	2	no	—
1639	C₂	—	28	1	no	—
1640	C₂	#11742955	1	1	yes	characteristic
1641	C₂	D₇×#568	1	1	yes	characteristic
1642	C₂	D₇×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2995	C₂
prime radical	#11743222	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2995	D₇
hypocenter	C₇	#60342
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2995

Complements

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

N	H ≅ G/N	type
2. C₇×#2995	C₂	semidirect
3. #11740572	C₂	semidirect
4. #11737413	C₂	semidirect
5. #11737409	C₂	semidirect
6. #11737404	C₂	semidirect
7. D₇×#446	C₂	semidirect
8. #11736973	C₂	semidirect
9. #11736968	C₂	semidirect
10. #11736965	C₂	semidirect
11. #11736962	C₂	semidirect
12. #11736910	C₂	semidirect
13. #11736909	C₂	semidirect
14. #11736907	C₂	semidirect
15. #11736906	C₂	semidirect
16. #11736905	C₂	semidirect
17. #11736905	C₂	semidirect
18. #11736903	C₂	semidirect
19. #11736900	C₂	semidirect
20. #11736813	C₂	semidirect
21. #11736811	C₂	semidirect
22. #11736806	C₂	semidirect
23. #11736804	C₂	semidirect
24. #11736773	C₂	semidirect
25. #11736759	C₂	semidirect
26. #11736529	C₂	semidirect
27. #11736527	C₂	semidirect
28. #11736523	C₂	semidirect
29. #11736522	C₂	semidirect
30. #11736495	C₂	semidirect
31. #11736491	C₂	semidirect
481. #2995	D₇	semidirect
1591. C₇	#60342	semidirect

Maximal subgroups

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

subgroup	index
#11743222	2
C₇×#2995	2
#11740572	2
#11737413	2
#11737409	2
#11737404	2
D₇×#446	2
#11736973	2
#11736968	2
#11736965	2
#11736962	2
#11736910	2
#11736909	2
#11736907	2
#11736906	2
#11736905	2
#11736903	2
#11736900	2
#11736813	2
#11736811	2
#11736806	2
#11736804	2
#11736773	2
#11736759	2
#11736529	2
#11736527	2
#11736523	2
#11736522	2
#11736495	2
#11736491	2
#60342	7