Subgroups — #11743587

Order 896.

912 conjugacy classes of subgroups.

The subgroup lattice has 886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#541	C₂	1	1	yes	maximal, characteristic, complemented
2	#90420	C₂	1	1	yes	maximal, characteristic, complemented
3	#90420	C₂	1	1	yes	maximal, characteristic, complemented
4	#90403	C₂	1	1	yes	maximal, characteristic, complemented
5	#90399	C₂	1	1	yes	maximal, characteristic, complemented
6	#90399	C₂	1	1	yes	maximal, characteristic, complemented
7	#90399	C₂	1	1	yes	maximal, characteristic, complemented
8	#90398	C₂	1	1	yes	maximal, characteristic
9	#90397	C₂	1	1	yes	maximal, characteristic
10	#90392	C₂	1	1	yes	maximal, characteristic, complemented
11	#90392	C₂	1	1	yes	maximal, characteristic, complemented
12	#90387	C₂	1	1	yes	maximal, characteristic, complemented
13	#90387	C₂	1	1	yes	maximal, characteristic, complemented
14	#90384	C₂	1	1	yes	maximal, characteristic, complemented
15	#90384	C₂	1	1	yes	maximal, characteristic, complemented
16	#90381	C₂	1	1	yes	maximal, characteristic, complemented
17	#90380	C₂	1	1	yes	maximal, characteristic, complemented
18	D₇×#125	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇⋊#564	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇⋊#564	C₂	1	1	yes	maximal, characteristic, complemented
21	#90376	C₂	1	1	yes	maximal, characteristic, complemented
22	#90337	C₂	1	1	yes	maximal, characteristic, complemented
23	#90329	C₂	1	1	yes	maximal, characteristic
24	#90327	C₂	1	1	yes	maximal, characteristic, complemented
25	#90314	C₂	1	1	yes	maximal, characteristic, complemented
26	#90274	C₂	1	1	yes	maximal, characteristic, complemented
27	#90272	C₂	1	1	yes	maximal, characteristic, complemented
28	#90269	C₂	1	1	yes	maximal, characteristic, complemented
29	#90258	C₂	1	1	yes	maximal, characteristic, complemented
30	#90222	C₂	1	1	yes	maximal, characteristic, complemented
31	#90220	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₇×#126	C₂²	1	1	yes	characteristic
34	C₇×#126	C₂²	1	1	yes	characteristic
35	C₇×#126	C₂²	1	1	yes	characteristic
36	C₇×#126	C₂²	1	1	yes	characteristic
37	C₇×#125	C₂²	1	1	yes	characteristic
38	C₇×#125	C₂²	1	1	yes	characteristic
39	C₇×#125	C₂²	1	1	yes	characteristic
40	C₇×#125	C₂²	1	1	yes	characteristic
41	C₇×#125	C₂²	1	1	yes	characteristic
42	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
45	C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
46	C₇×#117	C₂²	1	1	yes	characteristic
47	#6509	C₂²	1	1	yes	characteristic
48	#6509	C₂²	1	1	yes	characteristic
49	#6509	C₂²	1	1	yes	characteristic
50	#6509	C₂²	1	1	yes	characteristic
51	#6507	C₂²	1	1	yes	characteristic
52	#6507	C₂²	1	1	yes	characteristic
53	#6507	C₂²	1	1	yes	characteristic
54	#6507	C₂²	1	1	yes	characteristic
55	#6492	C₂²	1	1	yes	characteristic
56	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
57	#6487	C₂²	1	1	yes	characteristic
58	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
59	#6461	C₂²	1	1	yes	characteristic
60	#6461	C₂²	1	1	yes	characteristic
61	#6461	C₂²	1	1	yes	characteristic
62	#6461	C₂²	1	1	yes	characteristic
63	#6461	C₂²	1	1	yes	characteristic
64	#6461	C₂²	1	1	yes	characteristic
65	#6460	C₂²	1	1	yes	characteristic
66	#6460	C₂²	1	1	yes	characteristic
67	#6460	C₂²	1	1	yes	characteristic
68	#6459	C₂²	1	1	yes	characteristic
69	#6459	C₂²	1	1	yes	characteristic
70	#6459	C₂²	1	1	yes	characteristic
71	#6459	C₂²	1	1	yes	characteristic
72	#6459	C₂²	1	1	yes	characteristic
73	#6459	C₂²	1	1	yes	characteristic
74	#6459	C₂²	1	1	yes	characteristic
75	#6459	C₂²	1	1	yes	characteristic
76	#6459	C₂²	1	1	yes	characteristic
77	#6459	C₂²	1	1	yes	characteristic
78	#6457	C₂²	1	1	yes	characteristic
79	#6457	C₂²	1	1	yes	characteristic
80	#6457	C₂²	1	1	yes	characteristic
81	#6456	C₂²	1	1	yes	characteristic
82	#6456	C₂²	1	1	yes	characteristic
83	#6455	C₂²	1	1	yes	characteristic
84	#6455	C₂²	1	1	yes	characteristic
85	#6455	C₂²	1	1	yes	characteristic
86	#6455	C₂²	1	1	yes	characteristic
87	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
88	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
89	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
90	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
91	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
92	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
93	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
94	#6453	C₂²	1	1	yes	characteristic
95	#6453	C₂²	1	1	yes	characteristic
96	#6453	C₂²	1	1	yes	characteristic
97	#6453	C₂²	1	1	yes	characteristic
98	#6453	C₂²	1	1	yes	characteristic
99	#6453	C₂²	1	1	yes	characteristic
100	#6453	C₂²	1	1	yes	characteristic
101	#6453	C₂²	1	1	yes	characteristic
102	#6453	C₂²	1	1	yes	characteristic
103	#6452	C₂²	1	1	yes	characteristic
104	#6452	C₂²	1	1	yes	characteristic
105	#6452	C₂²	1	1	yes	characteristic
106	#6452	C₂²	1	1	yes	characteristic
107	#6452	C₂²	1	1	yes	characteristic
108	#6452	C₂²	1	1	yes	characteristic
109	#6452	C₂²	1	1	yes	characteristic
110	#6452	C₂²	1	1	yes	characteristic
111	#6452	C₂²	1	1	yes	characteristic
112	#6452	C₂²	1	1	yes	characteristic
113	#6452	C₂²	1	1	yes	characteristic
114	#6452	C₂²	1	1	yes	characteristic
115	#6452	C₂²	1	1	yes	characteristic
116	#6452	C₂²	1	1	yes	characteristic
117	#6452	C₂²	1	1	yes	characteristic
118	#6452	C₂²	1	1	yes	characteristic
119	#6452	C₂²	1	1	yes	characteristic
120	#6452	C₂²	1	1	yes	characteristic
121	#6452	C₂²	1	1	yes	characteristic
122	#6452	C₂²	1	1	yes	characteristic
123	#6452	C₂²	1	1	yes	characteristic
124	#6452	C₂²	1	1	yes	characteristic
125	#6452	C₂²	1	1	yes	characteristic
126	#6452	C₂²	1	1	yes	characteristic
127	#6452	C₂²	1	1	yes	characteristic
128	#6451	C₂²	1	1	yes	characteristic
129	#6451	C₂²	1	1	yes	characteristic
130	#6451	C₂²	1	1	yes	characteristic
131	#6451	C₂²	1	1	yes	characteristic
132	#6451	C₂²	1	1	yes	characteristic
133	#6451	C₂²	1	1	yes	characteristic
134	#6450	C₂²	1	1	yes	characteristic
135	#6450	C₂²	1	1	yes	characteristic
136	#6450	C₂²	1	1	yes	characteristic
137	#6450	C₂²	1	1	yes	characteristic
138	#6450	C₂²	1	1	yes	characteristic
139	#6449	C₂²	1	1	yes	characteristic
140	#6448	C₂²	1	1	yes	characteristic
141	#6447	C₂²	1	1	yes	characteristic
142	#6446	C₂²	1	1	yes	characteristic
143	#6446	C₂²	1	1	yes	characteristic
144	#6446	C₂²	1	1	yes	characteristic
145	#6446	C₂²	1	1	yes	characteristic
146	#6446	C₂²	1	1	yes	characteristic
147	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
148	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
149	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
150	#6442	C₂²	1	1	yes	characteristic
151	#6442	C₂²	1	1	yes	characteristic
152	#6442	C₂²	1	1	yes	characteristic
153	#6442	C₂²	1	1	yes	characteristic
154	#6442	C₂²	1	1	yes	characteristic
155	#6441	C₂²	1	1	yes	characteristic
156	#6441	C₂²	1	1	yes	characteristic
157	#6441	C₂²	1	1	yes	characteristic
158	#6441	C₂²	1	1	yes	characteristic
159	#6441	C₂²	1	1	yes	characteristic
160	#6440	C₂²	1	1	yes	characteristic
161	#6440	C₂²	1	1	yes	characteristic
162	#6440	C₂²	1	1	yes	characteristic
163	#6439	C₂²	1	1	yes	characteristic
164	#6439	C₂²	1	1	yes	characteristic
165	#6439	C₂²	1	1	yes	characteristic
166	C₄×D₂₈	C₂²	1	1	yes	characteristic
167	#6435	C₂²	1	1	yes	characteristic
168	#6435	C₂²	1	1	yes	characteristic
169	#6435	C₂²	1	1	yes	characteristic
170	#6435	C₂²	1	1	yes	characteristic
171	#6435	C₂²	1	1	yes	characteristic
172	#6435	C₂²	1	1	yes	characteristic
173	C₄²×D₇	C₂²	1	1	yes	characteristic
174	#6433	C₂²	1	1	yes	characteristic
175	#6433	C₂²	1	1	yes	characteristic
176	#6433	C₂²	1	1	yes	characteristic
177	#6433	C₂²	1	1	yes	characteristic
178	#6433	C₂²	1	1	yes	characteristic
179	#6433	C₂²	1	1	yes	characteristic
180	#6432	C₂²	1	1	yes	characteristic
181	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
182	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
183	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
184	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
185	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
186	C₄×Dic₁₄	C₂²	1	1	yes	characteristic
187	#3563	—	7	1	no	maximal, Sylow
188	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
193	C₂²×Dic₇	C₂³	1	1	yes	characteristic
194	C₂²×Dic₇	C₂³	1	1	yes	characteristic
195	C₂×D₂₈	C₂³	1	1	yes	characteristic
196	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
197	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
198	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
199	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
200	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
201	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
202	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
203	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
204	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
205	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
206	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
207	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
208	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
209	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
210	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
211	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₄²×C₇	C₂³	1	1	yes	characteristic
240	C₄²×C₇	C₂³	1	1	yes	characteristic
241	C₄²×C₇	C₂³	1	1	yes	characteristic
242	C₄²×C₇	C₂³	1	1	yes	characteristic
243	C₄²×C₇	C₂³	1	1	yes	characteristic
244	C₄²×C₇	C₂³	1	1	yes	characteristic
245	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
246	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
247	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
248	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
249	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
250	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
251	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
252	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
253	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
254	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
255	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
256	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
257	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
258	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
259	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
260	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
261	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
262	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
263	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
264	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
265	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
266	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
267	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
268	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
269	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
270	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
271	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
272	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
273	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
274	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
275	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
276	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
277	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
278	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
279	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
280	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
281	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
282	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
283	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
284	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
285	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
286	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
287	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
288	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
289	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
290	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
291	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
292	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
293	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
294	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
295	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
296	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
297	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
298	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
299	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
300	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
301	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
302	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
303	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
304	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
305	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
306	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
307	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
308	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
309	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
310	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
311	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
312	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
313	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
314	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
315	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
316	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
317	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
318	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
319	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
320	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
321	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
322	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
325	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
326	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
327	C₄×Dic₇	C₂³	1	1	yes	characteristic
328	C₄×Dic₇	C₂³	1	1	yes	characteristic
329	C₄×Dic₇	C₂³	1	1	yes	characteristic
330	C₄×Dic₇	C₂³	1	1	yes	characteristic
331	C₄×Dic₇	C₂³	1	1	yes	characteristic
332	C₄×Dic₇	C₂³	1	1	yes	characteristic
333	C₄×Dic₇	C₂³	1	1	yes	characteristic
334	C₄×Dic₇	C₂³	1	1	yes	characteristic
335	C₄×Dic₇	C₂³	1	1	yes	characteristic
336	C₄×Dic₇	C₂³	1	1	yes	characteristic
337	C₄×Dic₇	C₂³	1	1	yes	characteristic
338	C₄×Dic₇	C₂³	1	1	yes	characteristic
339	C₄×Dic₇	C₂³	1	1	yes	characteristic
340	C₄×Dic₇	C₂³	1	1	yes	characteristic
341	C₄×Dic₇	C₂³	1	1	yes	characteristic
342	C₄×Dic₇	C₂³	1	1	yes	characteristic
343	#564	—	7	1	no	—
344	#564	—	7	1	no	—
345	#563	—	7	1	no	—
346	#563	—	7	1	no	—
347	#557	—	7	1	no	—
348	#557	—	7	1	no	—
349	#554	—	7	1	no	—
350	#554	—	7	1	no	—
351	#552	—	7	1	no	—
352	#552	—	7	1	no	—
353	#552	—	7	1	no	—
354	#552	—	7	1	no	—
355	#552	—	7	1	no	—
356	#552	—	7	1	no	—
357	#552	—	7	1	no	—
358	#552	—	7	1	no	—
359	#544	—	7	1	no	—
360	#544	—	7	1	no	—
361	#544	—	7	1	no	—
362	#544	—	7	1	no	—
363	#541	—	7	1	no	—
364	#541	—	7	1	no	—
365	#541	—	7	1	no	—
366	#541	—	7	1	no	—
367	#541	—	7	1	no	—
368	#541	D₇	1	1	yes	characteristic, complemented
369	#539	—	7	1	no	—
370	#539	—	7	1	no	—
371	#533	—	7	1	no	—
372	#529	—	7	1	no	—
373	C₂×#125	—	7	1	no	—
374	C₂³×C₇	C₂⁴	1	1	yes	characteristic
375	C₂²×D₇	C₂⁴	1	1	yes	characteristic
376	C₂²×D₇	C₂⁴	1	1	yes	characteristic
377	C₇×Q₈	—	4	1	no	—
378	C₇×Q₈	—	4	1	no	—
379	C₂×C₄×C₇	—	4	1	no	—
380	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
381	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
382	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
385	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
386	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
387	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
388	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
389	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
390	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
394	C₂²⋊D₇	—	2	2	no	—
395	C₂²⋊D₇	—	4	1	no	—
396	C₂×Dic₇	—	2	2	no	—
397	C₂×Dic₇	—	4	1	no	—
398	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
399	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
400	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
401	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
402	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
403	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
404	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
405	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
406	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
407	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
408	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
409	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
410	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
411	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
412	D₂₈	—	2	2	no	—
413	C₄×D₇	—	2	2	no	—
414	C₄×D₇	—	2	2	no	—
415	C₄×D₇	—	2	2	no	—
416	C₄×D₇	—	2	2	no	—
417	C₄×D₇	—	2	2	no	—
418	C₄×D₇	—	4	1	no	—
419	C₄×D₇	—	4	1	no	—
420	C₄×D₇	—	4	1	no	—
421	C₄×D₇	—	4	1	no	—
422	C₄×D₇	—	4	1	no	—
423	Dic₁₄	—	2	2	no	—
424	Dic₁₄	—	2	2	no	—
425	Dic₁₄	—	4	1	no	—
426	Dic₁₄	—	4	1	no	—
427	Dic₁₄	—	4	1	no	—
428	Dic₁₄	—	4	1	no	—
429	Dic₁₄	—	4	1	no	—
430	C₄⋊Q₈	—	7	1	no	—
431	C₄⋊Q₈	—	7	1	no	—
432	C₄⋊Q₈	—	7	1	no	—
433	C₄⋊Q₈	—	7	1	no	—
434	C₄⋊Q₈	—	7	1	no	—
435	C₄⋊Q₈	—	7	1	no	—
436	C₄⋊Q₈	—	7	1	no	—
437	C₄⋊Q₈	—	7	1	no	—
438	C₄⋊Q₈	—	7	1	no	—
439	C₄⋊Q₈	—	7	1	no	—
440	C₄⋊Q₈	—	7	1	no	—
441	C₄⋊Q₈	C₂×D₇	1	1	yes	characteristic
442	#126	—	7	1	no	—
443	#126	—	7	1	no	—
444	#126	—	7	1	no	—
445	#126	—	7	1	no	—
446	#126	—	7	1	no	—
447	#126	—	7	1	no	—
448	#126	—	7	1	no	—
449	#126	—	7	1	no	—
450	#126	—	7	1	no	—
451	#126	—	7	1	no	—
452	#126	—	7	1	no	—
453	#126	—	7	1	no	—
454	#126	—	7	1	no	—
455	#126	—	7	1	no	—
456	#126	C₂×D₇	1	1	yes	characteristic
457	#126	C₂×D₇	1	1	yes	characteristic
458	#126	C₂×D₇	1	1	yes	characteristic
459	#126	C₂×D₇	1	1	yes	characteristic
460	#125	—	7	1	no	—
461	#125	—	7	1	no	—
462	#125	—	7	1	no	—
463	#125	—	7	1	no	—
464	#125	—	7	1	no	—
465	#125	—	7	1	no	—
466	#125	—	7	1	no	—
467	#125	—	7	1	no	—
468	#125	—	7	1	no	—
469	#125	—	7	1	no	—
470	#125	—	7	1	no	—
471	#125	—	7	1	no	—
472	#125	—	7	1	no	—
473	#125	—	7	1	no	—
474	#125	—	7	1	no	—
475	#125	—	7	1	no	—
476	#125	—	7	1	no	—
477	#125	—	7	1	no	—
478	#125	—	7	1	no	—
479	#125	—	7	1	no	—
480	#125	—	7	1	no	—
481	#125	—	7	1	no	—
482	#125	—	7	1	no	—
483	#125	—	7	1	no	—
484	#125	—	7	1	no	—
485	#125	—	7	1	no	—
486	#125	—	7	1	no	—
487	#125	—	7	1	no	—
488	#125	—	7	1	no	—
489	#125	—	7	1	no	—
490	#125	—	7	1	no	—
491	#125	—	7	1	no	—
492	#125	—	7	1	no	—
493	#125	—	7	1	no	—
494	#125	—	7	1	no	—
495	#125	—	7	1	no	—
496	#125	—	7	1	no	—
497	#125	—	7	1	no	—
498	#125	—	7	1	no	—
499	#125	—	7	1	no	—
500	#125	C₂×D₇	1	1	yes	characteristic
501	#125	C₂×D₇	1	1	yes	characteristic
502	#125	C₂×D₇	1	1	yes	characteristic
503	#125	C₂×D₇	1	1	yes	characteristic
504	#125	C₂×D₇	1	1	yes	characteristic
505	#124	—	7	1	no	—
506	#123	—	7	1	no	—
507	#123	—	7	1	no	—
508	#123	—	7	1	no	—
509	#123	—	7	1	no	—
510	#123	—	7	1	no	—
511	#123	—	7	1	no	—
512	#123	—	7	1	no	—
513	#123	—	7	1	no	—
514	#123	—	7	1	no	—
515	#123	—	7	1	no	—
516	C₂²⋊Q₈	—	7	1	no	—
517	C₂²⋊Q₈	—	7	1	no	—
518	C₂²⋊Q₈	—	7	1	no	—
519	C₂²⋊Q₈	—	7	1	no	—
520	C₂²⋊Q₈	—	7	1	no	—
521	C₂²⋊Q₈	—	7	1	no	—
522	C₂²⋊Q₈	—	7	1	no	—
523	C₂²⋊Q₈	—	7	1	no	—
524	C₂²⋊Q₈	—	7	1	no	—
525	C₂²⋊Q₈	—	7	1	no	—
526	C₂²⋊Q₈	—	7	1	no	—
527	C₂²⋊Q₈	—	7	1	no	—
528	C₂²⋊Q₈	—	7	1	no	—
529	C₂²⋊Q₈	—	7	1	no	—
530	C₂²⋊Q₈	—	7	1	no	—
531	C₂²⋊Q₈	—	7	1	no	—
532	C₂²⋊Q₈	—	7	1	no	—
533	C₂²⋊Q₈	—	7	1	no	—
534	C₂²⋊Q₈	—	7	1	no	—
535	C₂²⋊Q₈	—	7	1	no	—
536	C₂²⋊Q₈	—	7	1	no	—
537	C₂²⋊Q₈	—	7	1	no	—
538	C₂²⋊Q₈	—	7	1	no	—
539	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
540	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
541	#121	—	7	1	no	—
542	C₄×Q₈	—	7	1	no	—
543	C₄×Q₈	—	7	1	no	—
544	C₄×Q₈	—	7	1	no	—
545	C₄×Q₈	—	7	1	no	—
546	C₄×Q₈	—	7	1	no	—
547	C₄×Q₈	—	7	1	no	—
548	C₄×Q₈	—	7	1	no	—
549	C₄×Q₈	—	7	1	no	—
550	C₄×Q₈	—	7	1	no	—
551	C₄×Q₈	—	7	1	no	—
552	C₄×Q₈	—	7	1	no	—
553	C₄×Q₈	C₂×D₇	1	1	yes	characteristic
554	C₄×Q₈	C₂×D₇	1	1	yes	characteristic
555	C₄×D₄	—	7	1	no	—
556	C₄×D₄	—	7	1	no	—
557	C₄×D₄	—	7	1	no	—
558	C₄×D₄	—	7	1	no	—
559	C₄×D₄	—	7	1	no	—
560	C₄×D₄	—	7	1	no	—
561	C₄×D₄	—	7	1	no	—
562	#117	—	7	1	no	—
563	#117	—	7	1	no	—
564	#117	—	7	1	no	—
565	#117	—	7	1	no	—
566	#117	—	7	1	no	—
567	#117	—	7	1	no	—
568	#117	—	7	1	no	—
569	#117	—	7	1	no	—
570	#117	—	7	1	no	—
571	#117	—	7	1	no	—
572	#117	—	7	1	no	—
573	#117	—	7	1	no	—
574	#117	—	7	1	no	—
575	#117	C₂×D₇	1	1	yes	characteristic
576	C₂×C₄⋊C₄	—	7	1	no	—
577	C₂×C₄⋊C₄	—	7	1	no	—
578	C₂×C₄⋊C₄	—	7	1	no	—
579	C₂×C₄⋊C₄	—	7	1	no	—
580	C₂×C₄⋊C₄	—	7	1	no	—
581	C₂×C₄⋊C₄	—	7	1	no	—
582	C₂×C₄⋊C₄	—	7	1	no	—
583	C₂×C₄⋊C₄	—	7	1	no	—
584	C₂×C₄²	—	7	1	no	—
585	C₂²×C₇	—	2	1	no	—
586	C₂²×C₇	—	2	1	no	—
587	C₂²×C₇	—	2	1	no	—
588	C₂²×C₇	C₂⁵	1	1	yes	characteristic
589	C₂×D₇	—	2	1	no	—
590	C₂×D₇	—	2	1	no	—
591	C₂×D₇	—	2	1	no	—
592	C₂×D₇	—	2	1	no	—
593	C₂×D₇	—	2	1	no	—
594	C₂×D₇	2₋¹⁺⁴	1	2	yes	—
595	C₄×C₇	—	2	1	no	—
596	C₄×C₇	—	2	1	no	—
597	C₄×C₇	—	2	1	no	—
598	C₄×C₇	—	2	1	no	—
599	C₄×C₇	—	2	1	no	—
600	C₄×C₇	—	2	1	no	—
601	C₄×C₇	—	2	1	no	—
602	C₄×C₇	—	2	1	no	—
603	C₄×C₇	—	2	1	no	—
604	C₄×C₇	—	2	1	no	—
605	C₄×C₇	—	2	1	no	—
606	C₄×C₇	—	2	1	no	—
607	C₄×C₇	—	2	1	no	—
608	C₄×C₇	—	2	1	no	—
609	Dic₇	—	2	1	no	—
610	Dic₇	—	2	1	no	—
611	Dic₇	—	2	1	no	—
612	Dic₇	—	2	1	no	—
613	Dic₇	—	2	1	no	—
614	Dic₇	—	2	1	no	—
615	Dic₇	—	2	1	no	—
616	Dic₇	—	2	1	no	—
617	Dic₇	—	2	1	no	—
618	Dic₇	—	2	1	no	—
619	Dic₇	—	2	1	no	—
620	Dic₇	—	2	1	no	—
621	Dic₇	—	2	1	no	—
622	Dic₇	2₋¹⁺⁴	1	2	yes	—
623	C₂×Q₈	—	7	1	no	—
624	C₂×Q₈	—	7	1	no	—
625	C₂×Q₈	—	7	1	no	—
626	C₂×Q₈	—	7	1	no	—
627	C₂×Q₈	—	7	1	no	—
628	C₂×Q₈	—	7	1	no	—
629	C₂×Q₈	—	7	1	no	—
630	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
631	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
632	C₂×D₄	—	7	1	no	—
633	C₂×D₄	—	7	1	no	—
634	C₂×D₄	—	7	1	no	—
635	C₂²×C₄	—	7	1	no	—
636	C₂²×C₄	—	7	1	no	—
637	C₂²×C₄	—	7	1	no	—
638	C₂²×C₄	—	7	1	no	—
639	C₂²×C₄	—	7	1	no	—
640	C₂²×C₄	—	7	1	no	—
641	C₂²×C₄	—	7	1	no	—
642	C₂²×C₄	—	7	1	no	—
643	C₂²×C₄	—	7	1	no	—
644	C₂²×C₄	—	7	1	no	—
645	C₂²×C₄	—	7	1	no	—
646	C₂²×C₄	—	7	1	no	—
647	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
648	C₄⋊C₄	—	7	1	no	—
649	C₄⋊C₄	—	7	1	no	—
650	C₄⋊C₄	—	7	1	no	—
651	C₄⋊C₄	—	7	1	no	—
652	C₄⋊C₄	—	7	1	no	—
653	C₄⋊C₄	—	7	1	no	—
654	C₄⋊C₄	—	7	1	no	—
655	C₄⋊C₄	—	7	1	no	—
656	C₄⋊C₄	—	7	1	no	—
657	C₄⋊C₄	—	7	1	no	—
658	C₄⋊C₄	—	7	1	no	—
659	C₄⋊C₄	—	7	1	no	—
660	C₄⋊C₄	—	7	1	no	—
661	C₄⋊C₄	—	7	1	no	—
662	C₄⋊C₄	—	7	1	no	—
663	C₄⋊C₄	—	7	1	no	—
664	C₄⋊C₄	—	7	1	no	—
665	C₄⋊C₄	—	7	1	no	—
666	C₄⋊C₄	—	7	1	no	—
667	C₄⋊C₄	—	7	1	no	—
668	C₄⋊C₄	—	7	1	no	—
669	C₄⋊C₄	—	7	1	no	—
670	C₄⋊C₄	—	7	1	no	—
671	C₄⋊C₄	—	7	1	no	—
672	C₄⋊C₄	—	7	1	no	—
673	C₄⋊C₄	—	7	1	no	—
674	C₄⋊C₄	—	7	1	no	—
675	C₄⋊C₄	—	7	1	no	—
676	C₄⋊C₄	—	7	1	no	—
677	C₄⋊C₄	—	7	1	no	—
678	C₄⋊C₄	—	7	1	no	—
679	C₄⋊C₄	—	7	1	no	—
680	C₄⋊C₄	—	7	1	no	—
681	C₄⋊C₄	—	7	1	no	—
682	C₄⋊C₄	—	7	1	no	—
683	C₄⋊C₄	—	7	1	no	—
684	C₄⋊C₄	—	7	1	no	—
685	C₄⋊C₄	—	7	1	no	—
686	C₄⋊C₄	—	7	1	no	—
687	C₄⋊C₄	—	7	1	no	—
688	C₄⋊C₄	—	7	1	no	—
689	C₄⋊C₄	—	7	1	no	—
690	C₄⋊C₄	—	7	1	no	—
691	C₄⋊C₄	—	7	1	no	—
692	C₄⋊C₄	—	7	1	no	—
693	C₄⋊C₄	—	7	1	no	—
694	C₄⋊C₄	—	7	1	no	—
695	C₄⋊C₄	—	7	1	no	—
696	C₄⋊C₄	—	7	1	no	—
697	C₄⋊C₄	—	7	1	no	—
698	C₄⋊C₄	—	7	1	no	—
699	C₄⋊C₄	—	7	1	no	—
700	C₄⋊C₄	—	7	1	no	—
701	C₄⋊C₄	—	7	1	no	—
702	C₄⋊C₄	—	7	1	no	—
703	C₄⋊C₄	—	7	1	no	—
704	C₄⋊C₄	—	7	1	no	—
705	C₄⋊C₄	—	7	1	no	—
706	C₄⋊C₄	—	7	1	no	—
707	C₄⋊C₄	—	7	1	no	—
708	C₄⋊C₄	—	7	1	no	—
709	C₄⋊C₄	—	7	1	no	—
710	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
711	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
712	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
713	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
714	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
715	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
716	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
717	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
718	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
719	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
720	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
721	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
722	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
723	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
724	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
728	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
729	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
730	C₂²⋊C₄	—	7	1	no	—
731	C₂²⋊C₄	—	7	1	no	—
732	C₂²⋊C₄	—	7	1	no	—
733	C₂²⋊C₄	—	7	1	no	—
734	C₂²⋊C₄	—	7	1	no	—
735	C₂²⋊C₄	—	7	1	no	—
736	C₂²⋊C₄	—	7	1	no	—
737	C₂²⋊C₄	—	7	1	no	—
738	C₂²⋊C₄	—	7	1	no	—
739	C₂²⋊C₄	—	7	1	no	—
740	C₂²⋊C₄	—	7	1	no	—
741	C₂²⋊C₄	—	7	1	no	—
742	C₂²⋊C₄	—	7	1	no	—
743	C₂²⋊C₄	—	7	1	no	—
744	C₂²⋊C₄	—	7	1	no	—
745	C₂²⋊C₄	—	7	1	no	—
746	C₂²⋊C₄	—	7	1	no	—
747	C₂²⋊C₄	—	7	1	no	—
748	C₂²⋊C₄	—	7	1	no	—
749	C₂²⋊C₄	—	7	1	no	—
750	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
751	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
752	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
753	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
754	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
755	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
756	C₄²	—	7	1	no	—
757	C₄²	—	7	1	no	—
758	C₄²	—	7	1	no	—
759	C₄²	—	7	1	no	—
760	C₄²	—	7	1	no	—
761	C₄²	—	7	1	no	—
762	C₄²	—	7	1	no	—
763	C₄²	—	7	1	no	—
764	C₄²	—	7	1	no	—
765	C₄²	—	7	1	no	—
766	C₄²	—	7	1	no	—
767	C₄²	—	7	1	no	—
768	C₄²	—	7	1	no	—
769	C₄²	—	7	1	no	—
770	C₄²	—	7	1	no	—
771	C₄²	—	7	1	no	—
772	C₄²	C₂²×D₇	1	1	yes	characteristic
773	C₄²	C₂²×D₇	1	1	yes	characteristic
774	C₄²	C₂²×D₇	1	1	yes	characteristic
775	C₄²	C₂²×D₇	1	1	yes	characteristic
776	C₄²	C₂²×D₇	1	1	yes	characteristic
777	C₄²	C₂²×D₇	1	1	yes	characteristic
778	C₂×C₇	—	4	1	no	—
779	C₂×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
780	C₂×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
781	C₂×C₇	#585	1	1	yes	characteristic
782	D₇	—	2	2	no	—
783	D₇	—	4	1	no	—
784	C₂³	—	7	1	no	—
785	C₂³	—	7	1	no	—
786	C₂³	C₂³×D₇	1	1	yes	characteristic
787	Q₈	—	4	1	no	—
788	Q₈	—	4	1	no	—
789	Q₈	—	14	2	no	—
790	Q₈	—	14	2	no	—
791	Q₈	—	28	1	no	—
792	Q₈	—	28	1	no	—
793	Q₈	—	28	1	no	—
794	Q₈	—	28	1	no	—
795	Q₈	—	28	1	no	—
796	D₄	—	14	2	no	—
797	D₄	—	14	2	no	—
798	D₄	—	28	1	no	—
799	C₂×C₄	—	4	1	no	—
800	C₂×C₄	—	7	1	no	—
801	C₂×C₄	—	7	1	no	—
802	C₂×C₄	—	7	1	no	—
803	C₂×C₄	—	7	1	no	—
804	C₂×C₄	—	7	1	no	—
805	C₂×C₄	—	7	1	no	—
806	C₂×C₄	—	7	1	no	—
807	C₂×C₄	—	7	1	no	—
808	C₂×C₄	—	7	1	no	—
809	C₂×C₄	—	7	1	no	—
810	C₂×C₄	—	7	1	no	—
811	C₂×C₄	—	7	1	no	—
812	C₂×C₄	—	7	1	no	—
813	C₂×C₄	—	7	1	no	—
814	C₂×C₄	—	14	2	no	—
815	C₂×C₄	—	14	2	no	—
816	C₂×C₄	—	14	2	no	—
817	C₂×C₄	—	14	2	no	—
818	C₂×C₄	—	14	2	no	—
819	C₂×C₄	—	14	2	no	—
820	C₂×C₄	—	28	1	no	—
821	C₂×C₄	—	28	1	no	—
822	C₂×C₄	—	28	1	no	—
823	C₂×C₄	—	28	1	no	—
824	C₂×C₄	—	28	1	no	—
825	C₂×C₄	—	28	1	no	—
826	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
827	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
828	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
829	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
830	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
831	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
832	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
833	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
834	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
835	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
836	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
837	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
838	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
839	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
840	C₇	#3563	1	1	yes	characteristic, complemented, Sylow
841	C₂²	—	2	1	no	—
842	C₂²	—	2	1	no	—
843	C₂²	—	2	1	no	—
844	C₂²	—	7	2	no	—
845	C₂²	—	14	1	no	—
846	C₂²	—	14	1	no	—
847	C₂²	—	14	1	no	—
848	C₂²	—	14	1	no	—
849	C₂²	—	14	1	no	—
850	C₂²	C₂⁴×D₇	1	1	yes	characteristic
851	C₄	—	2	1	no	—
852	C₄	—	2	1	no	—
853	C₄	—	2	1	no	—
854	C₄	—	2	1	no	—
855	C₄	—	2	1	no	—
856	C₄	—	2	1	no	—
857	C₄	—	2	1	no	—
858	C₄	—	2	1	no	—
859	C₄	—	2	1	no	—
860	C₄	—	2	1	no	—
861	C₄	—	2	1	no	—
862	C₄	—	2	1	no	—
863	C₄	—	2	1	no	—
864	C₄	—	2	1	no	—
865	C₄	—	7	2	no	—
866	C₄	—	14	1	no	—
867	C₄	—	14	1	no	—
868	C₄	—	14	1	no	—
869	C₄	—	14	1	no	—
870	C₄	—	14	1	no	—
871	C₄	—	14	1	no	—
872	C₄	—	14	1	no	—
873	C₄	—	14	1	no	—
874	C₄	—	14	1	no	—
875	C₄	—	14	1	no	—
876	C₄	—	14	1	no	—
877	C₄	—	14	1	no	—
878	C₄	—	14	1	no	—
879	C₂	—	4	1	no	—
880	C₂	—	14	2	no	—
881	C₂	—	28	1	no	—
882	C₂	#90616	1	1	yes	characteristic
883	C₂	D₇×2₋¹⁺⁴	1	1	yes	characteristic
884	C₂	D₇×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₇
commutator, socle, cosocle	C₂²×C₇	C₂⁵
Fitting	C₇×#541	C₂
prime radical	#6447	C₂²
hypercenter	#541	D₇
hypocenter	C₇	#3563
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
1. C₇×#541	C₂	semidirect
2. #90420	C₂	semidirect
3. #90420	C₂	semidirect
4. #90403	C₂	semidirect
5. #90399	C₂	semidirect
6. #90399	C₂	semidirect
7. #90399	C₂	semidirect
10. #90392	C₂	semidirect
11. #90392	C₂	semidirect
12. #90387	C₂	semidirect
13. #90387	C₂	semidirect
14. #90384	C₂	semidirect
15. #90384	C₂	semidirect
16. #90381	C₂	semidirect
17. #90380	C₂	semidirect
18. D₇×#125	C₂	semidirect
19. C₇⋊#564	C₂	semidirect
20. C₇⋊#564	C₂	semidirect
21. #90376	C₂	semidirect
22. #90337	C₂	semidirect
24. #90327	C₂	semidirect
25. #90314	C₂	semidirect
26. #90274	C₂	semidirect
27. #90272	C₂	semidirect
28. #90269	C₂	semidirect
29. #90258	C₂	semidirect
30. #90222	C₂	semidirect
31. #90220	C₂	semidirect
368. #541	D₇	semidirect
840. C₇	#3563	semidirect

Maximal subgroups

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

subgroup	index
C₇×#541	2
#90420	2
#90403	2
#90399	2
#90398	2
#90397	2
#90392	2
#90387	2
#90384	2
#90381	2
#90380	2
D₇×#125	2
C₇⋊#564	2
#90376	2
#90337	2
#90329	2
#90327	2
#90314	2
#90274	2
#90272	2
#90269	2
#90258	2
#90222	2
#90220	2
#3563	7