Subgroups — #11743506

Order 896.

1004 conjugacy classes of subgroups.

The subgroup lattice has 946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	#90403	C₂	1	1	yes	maximal, characteristic, complemented
3	#90401	C₂	1	1	yes	maximal, characteristic, complemented
4	#90393	C₂	1	1	yes	maximal, characteristic, complemented
5	#90392	C₂	1	1	yes	maximal, characteristic, complemented
6	#90390	C₂	1	1	yes	maximal, characteristic, complemented
7	#90387	C₂	1	1	yes	maximal, characteristic, complemented
8	#90380	C₂	1	1	yes	maximal, characteristic, complemented
9	#90376	C₂	1	1	yes	maximal, characteristic, complemented
10	#90356	C₂	1	1	yes	maximal, characteristic, complemented
11	#90356	C₂	1	1	yes	maximal, characteristic, complemented
12	#90353	C₂	1	1	yes	maximal, characteristic, complemented
13	#90346	C₂	1	1	yes	maximal, characteristic, complemented
14	#90342	C₂	1	1	yes	maximal, characteristic, complemented
15	#90340	C₂	1	1	yes	maximal, characteristic, complemented
16	#90340	C₂	1	1	yes	maximal, characteristic, complemented
17	#90339	C₂	1	1	yes	maximal, characteristic, complemented
18	#90337	C₂	1	1	yes	maximal, characteristic, complemented
19	#90327	C₂	1	1	yes	maximal, characteristic, complemented
20	#90323	C₂	1	1	yes	maximal, characteristic, complemented
21	#90323	C₂	1	1	yes	maximal, characteristic, complemented
22	#90319	C₂	1	1	yes	maximal, characteristic, complemented
23	#90314	C₂	1	1	yes	maximal, characteristic, complemented
24	#90292	C₂	1	1	yes	maximal, characteristic, complemented
25	#90289	C₂	1	1	yes	maximal, characteristic, complemented
26	#90243	C₂	1	1	yes	maximal, characteristic, complemented
27	#90231	C₂	1	1	yes	maximal, characteristic, complemented
28	#90230	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×Dic₁₄	C₂	1	1	yes	maximal, characteristic, complemented
30	#90206	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#6451	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×Q₈×D₇	C₂²	1	1	yes	characteristic
33	C₂×#1159	C₂²	1	1	yes	characteristic
34	C₂×#1157	C₂²	1	1	yes	characteristic
35	C₂²×Dic₁₄	C₂²	1	1	yes	characteristic
36	C₂²×Dic₁₄	C₂²	1	1	yes	characteristic
37	C₂²×Dic₁₄	C₂²	1	1	yes	characteristic
38	C₇×#126	C₂²	1	1	yes	characteristic
39	C₇×#126	C₂²	1	1	yes	characteristic
40	C₇×#125	C₂²	1	1	yes	characteristic
41	C₇×#125	C₂²	1	1	yes	characteristic
42	C₇×#123	C₂²	1	1	yes	characteristic
43	C₇×#123	C₂²	1	1	yes	characteristic
44	C₇×#123	C₂²	1	1	yes	characteristic
45	C₇×#123	C₂²	1	1	yes	characteristic
46	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
48	C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
49	C₇×#121	C₂²	1	1	yes	characteristic
50	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
51	C₄×C₇×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	#6509	C₂²	1	1	yes	characteristic
54	#6507	C₂²	1	1	yes	characteristic
55	#6507	C₂²	1	1	yes	characteristic
56	#6502	C₂²	1	1	yes	characteristic
57	#6502	C₂²	1	1	yes	characteristic
58	#6502	C₂²	1	1	yes	characteristic
59	#6502	C₂²	1	1	yes	characteristic
60	#6502	C₂²	1	1	yes	characteristic
61	#6499	C₂²	1	1	yes	characteristic
62	#6498	C₂²	1	1	yes	characteristic
63	D₄×Dic₇	C₂²	1	1	yes	characteristic
64	D₄×Dic₇	C₂²	1	1	yes	characteristic
65	D₄×Dic₇	C₂²	1	1	yes	characteristic
66	D₄×Dic₇	C₂²	1	1	yes	characteristic
67	#6493	C₂²	1	1	yes	characteristic
68	#6492	C₂²	1	1	yes	characteristic
69	#6492	C₂²	1	1	yes	characteristic
70	#6492	C₂²	1	1	yes	characteristic
71	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
72	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
74	C₂×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
75	#6487	C₂²	1	1	yes	characteristic
76	#6487	C₂²	1	1	yes	characteristic
77	#6487	C₂²	1	1	yes	characteristic
78	#6487	C₂²	1	1	yes	characteristic
79	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
80	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
81	C₂×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
82	C₂×C₄×Dic₇	C₂²	1	1	yes	characteristic
83	#6461	C₂²	1	1	yes	characteristic
84	#6461	C₂²	1	1	yes	characteristic
85	#6461	C₂²	1	1	yes	characteristic
86	#6461	C₂²	1	1	yes	characteristic
87	#6461	C₂²	1	1	yes	characteristic
88	#6461	C₂²	1	1	yes	characteristic
89	#6461	C₂²	1	1	yes	characteristic
90	#6460	C₂²	1	1	yes	characteristic
91	#6460	C₂²	1	1	yes	characteristic
92	#6460	C₂²	1	1	yes	characteristic
93	#6460	C₂²	1	1	yes	characteristic
94	#6459	C₂²	1	1	yes	characteristic
95	#6459	C₂²	1	1	yes	characteristic
96	#6459	C₂²	1	1	yes	characteristic
97	#6459	C₂²	1	1	yes	characteristic
98	#6459	C₂²	1	1	yes	characteristic
99	#6459	C₂²	1	1	yes	characteristic
100	#6459	C₂²	1	1	yes	characteristic
101	#6459	C₂²	1	1	yes	characteristic
102	#6457	C₂²	1	1	yes	characteristic
103	#6457	C₂²	1	1	yes	characteristic
104	#6457	C₂²	1	1	yes	characteristic
105	#6455	C₂²	1	1	yes	characteristic
106	#6455	C₂²	1	1	yes	characteristic
107	D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	#6453	C₂²	1	1	yes	characteristic
109	#6453	C₂²	1	1	yes	characteristic
110	#6453	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	#6451	C₂²	1	1	yes	characteristic
122	#6451	C₂²	1	1	yes	characteristic
123	#6451	C₂²	1	1	yes	characteristic
124	#6451	C₂²	1	1	yes	characteristic
125	#6451	C₂²	1	1	yes	characteristic
126	#6451	C₂²	1	1	yes	characteristic
127	#6451	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	#6449	C₂²	1	1	yes	characteristic
141	#6448	C₂²	1	1	yes	characteristic
142	#6448	C₂²	1	1	yes	characteristic
143	#6448	C₂²	1	1	yes	characteristic
144	#6448	C₂²	1	1	yes	characteristic
145	#6448	C₂²	1	1	yes	characteristic
146	#6448	C₂²	1	1	yes	characteristic
147	#6447	C₂²	1	1	yes	characteristic
148	#6446	C₂²	1	1	yes	characteristic
149	#6446	C₂²	1	1	yes	characteristic
150	#6446	C₂²	1	1	yes	characteristic
151	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
152	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
153	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
154	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
155	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
156	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
157	(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
158	#6442	C₂²	1	1	yes	characteristic
159	#6442	C₂²	1	1	yes	characteristic
160	#6442	C₂²	1	1	yes	characteristic
161	#6442	C₂²	1	1	yes	characteristic
162	#6442	C₂²	1	1	yes	characteristic
163	#6442	C₂²	1	1	yes	characteristic
164	#6441	C₂²	1	1	yes	characteristic
165	#6441	C₂²	1	1	yes	characteristic
166	#6441	C₂²	1	1	yes	characteristic
167	#6441	C₂²	1	1	yes	characteristic
168	#6441	C₂²	1	1	yes	characteristic
169	#6441	C₂²	1	1	yes	characteristic
170	#6441	C₂²	1	1	yes	characteristic
171	#6441	C₂²	1	1	yes	characteristic
172	#6441	C₂²	1	1	yes	characteristic
173	#6441	C₂²	1	1	yes	characteristic
174	#6441	C₂²	1	1	yes	characteristic
175	#6441	C₂²	1	1	yes	characteristic
176	#6440	C₂²	1	1	yes	characteristic
177	#6440	C₂²	1	1	yes	characteristic
178	#6440	C₂²	1	1	yes	characteristic
179	#6439	C₂²	1	1	yes	characteristic
180	#6438	C₂²	1	1	yes	characteristic
181	#6435	C₂²	1	1	yes	characteristic
182	#6433	C₂²	1	1	yes	characteristic
183	#6432	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	#3552	—	7	1	no	maximal, Sylow
188	C₂×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
191	C₂×C₇×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×C₇	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₇	C₂³	1	1	yes	characteristic
203	C₂²×Dic₇	C₂³	1	1	yes	characteristic
204	C₂²×Dic₇	C₂³	1	1	yes	characteristic
205	C₂²×Dic₇	C₂³	1	1	yes	characteristic
206	C₂²×Dic₇	C₂³	1	1	yes	characteristic
207	C₂²×Dic₇	C₂³	1	1	yes	characteristic
208	C₂²×Dic₇	C₂³	1	1	yes	characteristic
209	C₂²×Dic₇	C₂³	1	1	yes	characteristic
210	C₂²×Dic₇	C₂³	1	1	yes	characteristic
211	Q₈×D₇	—	4	2	no	—
212	#1159	—	4	2	no	—
213	#1157	—	4	2	no	—
214	C₂×D₂₈	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₇	C₂³	1	1	yes	characteristic
221	C₂×Dic₁₄	—	4	2	no	—
222	C₂×Dic₁₄	—	4	2	no	—
223	C₂×Dic₁₄	—	4	2	no	—
224	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₁₄	C₂³	1	1	yes	characteristic
237	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₄²×C₇	C₂³	1	1	yes	characteristic
262	C₄²×C₇	C₂³	1	1	yes	characteristic
263	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
264	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
265	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
266	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
267	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
268	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
269	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
273	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
274	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
275	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
276	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
277	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
278	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
279	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
280	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
281	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
289	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
290	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
291	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
292	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
294	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
295	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
297	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
299	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
300	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
301	C₄⋊Dic₇	C₂³	1	1	yes	characteristic
302	C₄⋊Dic₇	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	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
328	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
329	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
330	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
331	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₇⋊C₄	C₂³	1	1	yes	characteristic
334	Dic₇⋊C₄	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	C₄×Dic₇	C₂³	1	1	yes	characteristic
344	C₄×Dic₇	C₂³	1	1	yes	characteristic
345	C₄×Dic₇	C₂³	1	1	yes	characteristic
346	C₄×Dic₇	C₂³	1	1	yes	characteristic
347	C₄×Dic₇	C₂³	1	1	yes	characteristic
348	C₄×Dic₇	C₂³	1	1	yes	characteristic
349	#563	—	7	1	no	—
350	#563	—	7	1	no	—
351	#563	—	7	1	no	—
352	#563	—	7	1	no	—
353	#557	—	7	1	no	—
354	#556	—	7	1	no	—
355	#554	—	7	1	no	—
356	#554	—	7	1	no	—
357	#553	—	7	1	no	—
358	#553	—	7	1	no	—
359	D₄×Q₈	—	7	1	no	—
360	D₄×Q₈	—	7	1	no	—
361	D₄×Q₈	—	7	1	no	—
362	#548	—	7	1	no	—
363	#548	—	7	1	no	—
364	#547	—	7	1	no	—
365	#544	—	7	1	no	—
366	#544	—	7	1	no	—
367	#542	—	7	1	no	—
368	#542	—	7	1	no	—
369	#541	—	7	1	no	—
370	#541	—	7	1	no	—
371	#539	—	7	1	no	—
372	#539	—	7	1	no	—
373	#539	—	7	1	no	—
374	#539	D₇	1	1	yes	characteristic, complemented
375	#536	—	7	1	no	—
376	#536	—	7	1	no	—
377	C₂×C₄⋊Q₈	—	7	1	no	—
378	#529	—	7	1	no	—
379	#529	—	7	1	no	—
380	C₂³×C₇	C₂⁴	1	1	yes	characteristic
381	C₂³×C₇	C₂⁴	1	1	yes	characteristic
382	C₂³×C₇	C₂⁴	1	1	yes	characteristic
383	C₂²×D₇	C₂⁴	1	1	yes	characteristic
384	C₂²×D₇	C₂⁴	1	1	yes	characteristic
385	C₇×Q₈	—	4	1	no	—
386	C₇×D₄	—	2	2	no	—
387	C₇×D₄	—	2	2	no	—
388	C₇×D₄	—	4	1	no	—
389	C₂×C₄×C₇	—	2	2	no	—
390	C₂×C₄×C₇	—	4	1	no	—
391	C₂×C₄×C₇	—	4	1	no	—
392	C₂×C₄×C₇	—	4	1	no	—
393	C₂×C₄×C₇	—	4	1	no	—
394	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²⋊D₇	—	2	2	no	—
407	C₂²⋊D₇	—	2	2	no	—
408	C₂²⋊D₇	—	2	2	no	—
409	C₂²⋊D₇	—	2	2	no	—
410	C₂²⋊D₇	—	4	1	no	—
411	C₂²⋊D₇	—	4	1	no	—
412	C₂×Dic₇	—	2	2	no	—
413	C₂×Dic₇	—	2	2	no	—
414	C₂×Dic₇	—	2	2	no	—
415	C₂×Dic₇	—	2	2	no	—
416	C₂×Dic₇	—	4	1	no	—
417	C₂×Dic₇	—	4	1	no	—
418	C₂×Dic₇	—	4	1	no	—
419	C₂×Dic₇	—	4	1	no	—
420	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
425	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
427	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
428	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
429	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
433	C₂×Dic₇	C₂⁴	1	1	yes	characteristic
434	D₂₈	—	4	1	no	—
435	C₄×D₇	—	2	2	no	—
436	C₄×D₇	—	2	2	no	—
437	C₄×D₇	—	4	1	no	—
438	C₄×D₇	—	4	1	no	—
439	C₄×D₇	—	4	1	no	—
440	C₄×D₇	—	4	1	no	—
441	Dic₁₄	—	2	2	no	—
442	Dic₁₄	—	2	2	no	—
443	Dic₁₄	—	2	2	no	—
444	Dic₁₄	—	2	2	no	—
445	Dic₁₄	—	2	2	no	—
446	Dic₁₄	—	2	2	no	—
447	Dic₁₄	—	4	1	no	—
448	Dic₁₄	—	4	1	no	—
449	Dic₁₄	—	4	1	no	—
450	Dic₁₄	—	4	1	no	—
451	Dic₁₄	—	4	1	no	—
452	Dic₁₄	—	4	1	no	—
453	Dic₁₄	—	4	1	no	—
454	C₂×#41	—	7	1	no	—
455	C₂×#41	—	7	1	no	—
456	C₂²×Q₈	—	7	1	no	—
457	C₂²×Q₈	—	7	1	no	—
458	C₂²×Q₈	—	7	1	no	—
459	C₂²×Q₈	—	7	1	no	—
460	C₄⋊Q₈	—	7	1	no	—
461	C₄⋊Q₈	—	7	1	no	—
462	C₄⋊Q₈	—	7	1	no	—
463	C₄⋊Q₈	—	7	1	no	—
464	C₄⋊Q₈	—	7	1	no	—
465	C₄⋊Q₈	—	7	1	no	—
466	C₄⋊Q₈	—	7	1	no	—
467	C₄⋊Q₈	—	7	1	no	—
468	C₄⋊Q₈	—	7	1	no	—
469	C₄⋊Q₈	—	7	1	no	—
470	C₄⋊Q₈	—	7	1	no	—
471	C₄⋊Q₈	—	7	1	no	—
472	C₄⋊Q₈	—	7	1	no	—
473	C₄⋊Q₈	—	7	1	no	—
474	C₄⋊Q₈	—	7	1	no	—
475	C₄⋊Q₈	—	7	1	no	—
476	#126	—	7	1	no	—
477	#126	—	7	1	no	—
478	#126	—	7	1	no	—
479	#126	—	7	1	no	—
480	#126	—	7	1	no	—
481	#126	—	7	1	no	—
482	#126	—	7	1	no	—
483	#126	—	7	1	no	—
484	#126	—	7	1	no	—
485	#126	—	7	1	no	—
486	#126	—	7	1	no	—
487	#126	—	7	1	no	—
488	#126	—	7	1	no	—
489	#126	—	7	1	no	—
490	#126	C₂×D₇	1	1	yes	characteristic
491	#126	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
501	#125	—	7	1	no	—
502	#125	—	7	1	no	—
503	#125	—	7	1	no	—
504	#125	—	7	1	no	—
505	#125	—	7	1	no	—
506	#125	C₂×D₇	1	1	yes	characteristic
507	#125	C₂×D₇	1	1	yes	characteristic
508	#124	—	7	1	no	—
509	#124	—	7	1	no	—
510	#124	—	7	1	no	—
511	#124	—	7	1	no	—
512	#124	—	7	1	no	—
513	#124	—	7	1	no	—
514	#124	—	7	1	no	—
515	#124	—	7	1	no	—
516	#123	—	7	1	no	—
517	#123	—	7	1	no	—
518	#123	—	7	1	no	—
519	#123	—	7	1	no	—
520	#123	—	7	1	no	—
521	#123	—	7	1	no	—
522	#123	—	7	1	no	—
523	#123	—	7	1	no	—
524	#123	—	7	1	no	—
525	#123	—	7	1	no	—
526	#123	—	7	1	no	—
527	#123	—	7	1	no	—
528	#123	C₂×D₇	1	1	yes	characteristic
529	#123	C₂×D₇	1	1	yes	characteristic
530	#123	C₂×D₇	1	1	yes	characteristic
531	#123	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
540	C₂²⋊Q₈	—	7	1	no	—
541	C₂²⋊Q₈	—	7	1	no	—
542	C₂²⋊Q₈	—	7	1	no	—
543	C₂²⋊Q₈	—	7	1	no	—
544	C₂²⋊Q₈	—	7	1	no	—
545	C₂²⋊Q₈	—	7	1	no	—
546	C₂²⋊Q₈	—	7	1	no	—
547	C₂²⋊Q₈	—	7	1	no	—
548	C₂²⋊Q₈	—	7	1	no	—
549	C₂²⋊Q₈	—	7	1	no	—
550	C₂²⋊Q₈	—	7	1	no	—
551	C₂²⋊Q₈	—	7	1	no	—
552	C₂²⋊Q₈	—	7	1	no	—
553	C₂²⋊Q₈	—	7	1	no	—
554	C₂²⋊Q₈	—	7	1	no	—
555	C₂²⋊Q₈	—	7	1	no	—
556	C₂²⋊Q₈	—	7	1	no	—
557	C₂²⋊Q₈	—	7	1	no	—
558	C₂²⋊Q₈	—	7	1	no	—
559	C₂²⋊Q₈	—	7	1	no	—
560	C₂²⋊Q₈	—	7	1	no	—
561	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
562	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
563	C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
564	#121	—	7	1	no	—
565	#121	—	7	1	no	—
566	#121	—	7	1	no	—
567	#121	—	7	1	no	—
568	#121	—	7	1	no	—
569	#121	—	7	1	no	—
570	#121	—	7	1	no	—
571	#121	C₂×D₇	1	1	yes	characteristic
572	C₄×Q₈	—	7	1	no	—
573	C₄×Q₈	—	7	1	no	—
574	C₄×Q₈	—	7	1	no	—
575	C₄×Q₈	—	7	1	no	—
576	C₄×Q₈	—	7	1	no	—
577	C₄×Q₈	—	7	1	no	—
578	C₄×Q₈	—	7	1	no	—
579	C₄×Q₈	—	7	1	no	—
580	C₄×D₄	—	7	1	no	—
581	C₄×D₄	—	7	1	no	—
582	C₄×D₄	—	7	1	no	—
583	C₄×D₄	—	7	1	no	—
584	C₄×D₄	—	7	1	no	—
585	C₄×D₄	—	7	1	no	—
586	C₄×D₄	—	7	1	no	—
587	C₄×D₄	—	7	1	no	—
588	C₄×D₄	—	7	1	no	—
589	C₄×D₄	—	7	1	no	—
590	C₄×D₄	—	7	1	no	—
591	C₄×D₄	—	7	1	no	—
592	C₄×D₄	—	7	1	no	—
593	C₄×D₄	—	7	1	no	—
594	C₄×D₄	C₂×D₇	1	1	yes	characteristic
595	C₄×D₄	C₂×D₇	1	1	yes	characteristic
596	#117	—	7	1	no	—
597	#117	—	7	1	no	—
598	#117	—	7	1	no	—
599	#117	—	7	1	no	—
600	#117	—	7	1	no	—
601	#117	—	7	1	no	—
602	C₂×C₄⋊C₄	—	7	1	no	—
603	C₂×C₄⋊C₄	—	7	1	no	—
604	C₂×C₄⋊C₄	—	7	1	no	—
605	C₂×C₄⋊C₄	—	7	1	no	—
606	C₂×C₄⋊C₄	—	7	1	no	—
607	C₂×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
608	C₂×C₄²	—	7	1	no	—
609	C₂²×C₇	—	2	1	no	—
610	C₂²×C₇	—	2	1	no	—
611	C₂²×C₇	—	2	1	no	—
612	C₂²×C₇	—	2	1	no	—
613	C₂²×C₇	—	2	1	no	—
614	C₂²×C₇	—	2	1	no	—
615	C₂²×C₇	—	2	1	no	—
616	C₂²×C₇	—	2	1	no	—
617	C₂²×C₇	2₋¹⁺⁴	1	2	yes	—
618	C₂²×C₇	C₂⁵	1	1	yes	characteristic
619	C₂×D₇	—	2	1	no	—
620	C₂×D₇	—	2	1	no	—
621	C₂×D₇	—	2	1	no	—
622	C₂×D₇	—	2	1	no	—
623	C₂×D₇	—	2	1	no	—
624	C₂×D₇	—	2	1	no	—
625	C₄×C₇	—	2	1	no	—
626	C₄×C₇	—	2	1	no	—
627	C₄×C₇	—	2	1	no	—
628	C₄×C₇	—	2	1	no	—
629	C₄×C₇	—	2	1	no	—
630	C₄×C₇	—	2	1	no	—
631	C₄×C₇	—	2	1	no	—
632	C₄×C₇	—	2	1	no	—
633	C₄×C₇	—	2	1	no	—
634	C₄×C₇	—	2	1	no	—
635	C₄×C₇	—	2	1	no	—
636	C₄×C₇	—	2	1	no	—
637	Dic₇	—	2	1	no	—
638	Dic₇	—	2	1	no	—
639	Dic₇	—	2	1	no	—
640	Dic₇	—	2	1	no	—
641	Dic₇	—	2	1	no	—
642	Dic₇	—	2	1	no	—
643	Dic₇	—	2	1	no	—
644	Dic₇	—	2	1	no	—
645	Dic₇	—	2	1	no	—
646	Dic₇	—	2	1	no	—
647	Dic₇	—	2	1	no	—
648	Dic₇	—	2	1	no	—
649	Dic₇	H(5,𝔽₂)	1	2	yes	—
650	Dic₇	2₋¹⁺⁴	1	2	yes	—
651	#41	—	28	2	no	—
652	#41	—	28	2	no	—
653	C₂×Q₈	—	7	1	no	—
654	C₂×Q₈	—	7	1	no	—
655	C₂×Q₈	—	7	1	no	—
656	C₂×Q₈	—	7	1	no	—
657	C₂×Q₈	—	7	1	no	—
658	C₂×Q₈	—	7	1	no	—
659	C₂×Q₈	—	7	1	no	—
660	C₂×Q₈	—	7	1	no	—
661	C₂×Q₈	—	7	1	no	—
662	C₂×Q₈	—	7	1	no	—
663	C₂×Q₈	—	7	1	no	—
664	C₂×Q₈	—	7	1	no	—
665	C₂×Q₈	—	7	1	no	—
666	C₂×Q₈	—	28	2	no	—
667	C₂×Q₈	—	28	2	no	—
668	C₂×Q₈	—	28	2	no	—
669	C₂×Q₈	—	28	2	no	—
670	C₂×Q₈	C₂²×D₇	1	1	yes	characteristic
671	C₂×D₄	—	7	1	no	—
672	C₂×D₄	—	7	1	no	—
673	C₂×D₄	—	7	1	no	—
674	C₂×D₄	—	7	1	no	—
675	C₂×D₄	—	7	1	no	—
676	C₂×D₄	—	7	1	no	—
677	C₂×D₄	—	7	1	no	—
678	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
679	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
680	C₂×D₄	C₂²×D₇	1	1	yes	characteristic
681	C₂²×C₄	—	7	1	no	—
682	C₂²×C₄	—	7	1	no	—
683	C₂²×C₄	—	7	1	no	—
684	C₂²×C₄	—	7	1	no	—
685	C₂²×C₄	—	7	1	no	—
686	C₂²×C₄	—	7	1	no	—
687	C₂²×C₄	—	7	1	no	—
688	C₂²×C₄	—	7	1	no	—
689	C₂²×C₄	—	7	1	no	—
690	C₂²×C₄	—	7	1	no	—
691	C₂²×C₄	—	7	1	no	—
692	C₂²×C₄	—	7	1	no	—
693	C₂²×C₄	—	7	1	no	—
694	C₂²×C₄	—	7	1	no	—
695	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
696	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
697	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
698	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
699	C₂²×C₄	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
711	C₄⋊C₄	—	7	1	no	—
712	C₄⋊C₄	—	7	1	no	—
713	C₄⋊C₄	—	7	1	no	—
714	C₄⋊C₄	—	7	1	no	—
715	C₄⋊C₄	—	7	1	no	—
716	C₄⋊C₄	—	7	1	no	—
717	C₄⋊C₄	—	7	1	no	—
718	C₄⋊C₄	—	7	1	no	—
719	C₄⋊C₄	—	7	1	no	—
720	C₄⋊C₄	—	7	1	no	—
721	C₄⋊C₄	—	7	1	no	—
722	C₄⋊C₄	—	7	1	no	—
723	C₄⋊C₄	—	7	1	no	—
724	C₄⋊C₄	—	7	1	no	—
725	C₄⋊C₄	—	7	1	no	—
726	C₄⋊C₄	—	7	1	no	—
727	C₄⋊C₄	—	7	1	no	—
728	C₄⋊C₄	—	7	1	no	—
729	C₄⋊C₄	—	7	1	no	—
730	C₄⋊C₄	—	7	1	no	—
731	C₄⋊C₄	—	7	1	no	—
732	C₄⋊C₄	—	7	1	no	—
733	C₄⋊C₄	—	7	1	no	—
734	C₄⋊C₄	—	7	1	no	—
735	C₄⋊C₄	—	7	1	no	—
736	C₄⋊C₄	—	7	1	no	—
737	C₄⋊C₄	—	7	1	no	—
738	C₄⋊C₄	—	7	1	no	—
739	C₄⋊C₄	—	7	1	no	—
740	C₄⋊C₄	—	7	1	no	—
741	C₄⋊C₄	—	7	1	no	—
742	C₄⋊C₄	—	7	1	no	—
743	C₄⋊C₄	—	7	1	no	—
744	C₄⋊C₄	—	7	1	no	—
745	C₄⋊C₄	—	7	1	no	—
746	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
747	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
748	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
749	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
750	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
751	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
752	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
753	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
754	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
755	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
756	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
757	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
758	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
759	C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
760	C₂²⋊C₄	—	7	1	no	—
761	C₂²⋊C₄	—	7	1	no	—
762	C₂²⋊C₄	—	7	1	no	—
763	C₂²⋊C₄	—	7	1	no	—
764	C₂²⋊C₄	—	7	1	no	—
765	C₂²⋊C₄	—	7	1	no	—
766	C₂²⋊C₄	—	7	1	no	—
767	C₂²⋊C₄	—	7	1	no	—
768	C₂²⋊C₄	—	7	1	no	—
769	C₂²⋊C₄	—	7	1	no	—
770	C₂²⋊C₄	—	7	1	no	—
771	C₂²⋊C₄	—	7	1	no	—
772	C₂²⋊C₄	—	7	1	no	—
773	C₂²⋊C₄	—	7	1	no	—
774	C₂²⋊C₄	—	7	1	no	—
775	C₂²⋊C₄	—	7	1	no	—
776	C₂²⋊C₄	—	7	1	no	—
777	C₂²⋊C₄	—	7	1	no	—
778	C₂²⋊C₄	—	7	1	no	—
779	C₂²⋊C₄	—	7	1	no	—
780	C₂²⋊C₄	—	7	1	no	—
781	C₂²⋊C₄	—	7	1	no	—
782	C₂²⋊C₄	—	7	1	no	—
783	C₂²⋊C₄	—	7	1	no	—
784	C₂²⋊C₄	—	7	1	no	—
785	C₂²⋊C₄	—	7	1	no	—
786	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
787	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
788	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
789	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
790	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
791	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
792	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
793	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
794	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
795	C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
796	C₄²	—	7	1	no	—
797	C₄²	—	7	1	no	—
798	C₄²	—	7	1	no	—
799	C₄²	—	7	1	no	—
800	C₄²	—	7	1	no	—
801	C₄²	—	7	1	no	—
802	C₄²	—	7	1	no	—
803	C₄²	—	7	1	no	—
804	C₄²	—	7	1	no	—
805	C₄²	—	7	1	no	—
806	C₄²	—	7	1	no	—
807	C₄²	—	7	1	no	—
808	C₄²	—	7	1	no	—
809	C₄²	—	7	1	no	—
810	C₄²	C₂²×D₇	1	1	yes	characteristic
811	C₄²	C₂²×D₇	1	1	yes	characteristic
812	C₂×C₇	—	2	2	no	—
813	C₂×C₇	—	4	1	no	—
814	C₂×C₇	—	4	1	no	—
815	C₂×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
816	C₂×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
817	C₂×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
818	D₇	—	4	1	no	—
819	D₇	—	4	1	no	—
820	C₂³	—	7	1	no	—
821	C₂³	—	7	1	no	—
822	C₂³	C₂³×D₇	1	1	yes	characteristic
823	C₂³	C₂³×D₇	1	1	yes	characteristic
824	C₂³	C₂³×D₇	1	1	yes	characteristic
825	Q₈	—	4	1	no	—
826	Q₈	—	14	2	no	—
827	Q₈	—	14	2	no	—
828	Q₈	—	14	2	no	—
829	Q₈	—	14	2	no	—
830	Q₈	—	14	2	no	—
831	Q₈	—	14	2	no	—
832	Q₈	—	28	1	no	—
833	Q₈	—	28	1	no	—
834	Q₈	—	28	1	no	—
835	Q₈	—	28	1	no	—
836	Q₈	—	28	1	no	—
837	Q₈	—	28	1	no	—
838	Q₈	—	28	1	no	—
839	D₄	—	2	2	no	—
840	D₄	—	2	2	no	—
841	D₄	—	4	1	no	—
842	D₄	—	14	2	no	—
843	D₄	—	14	2	no	—
844	D₄	—	14	2	no	—
845	D₄	—	14	2	no	—
846	D₄	—	28	1	no	—
847	D₄	—	28	1	no	—
848	D₄	—	28	1	no	—
849	C₂×C₄	—	2	2	no	—
850	C₂×C₄	—	4	1	no	—
851	C₂×C₄	—	4	1	no	—
852	C₂×C₄	—	4	1	no	—
853	C₂×C₄	—	4	1	no	—
854	C₂×C₄	—	7	1	no	—
855	C₂×C₄	—	7	1	no	—
856	C₂×C₄	—	7	1	no	—
857	C₂×C₄	—	7	1	no	—
858	C₂×C₄	—	7	1	no	—
859	C₂×C₄	—	7	1	no	—
860	C₂×C₄	—	7	1	no	—
861	C₂×C₄	—	7	1	no	—
862	C₂×C₄	—	7	1	no	—
863	C₂×C₄	—	7	1	no	—
864	C₂×C₄	—	7	1	no	—
865	C₂×C₄	—	7	1	no	—
866	C₂×C₄	—	7	1	no	—
867	C₂×C₄	—	7	1	no	—
868	C₂×C₄	—	14	2	no	—
869	C₂×C₄	—	14	2	no	—
870	C₂×C₄	—	14	2	no	—
871	C₂×C₄	—	14	2	no	—
872	C₂×C₄	—	14	2	no	—
873	C₂×C₄	—	14	2	no	—
874	C₂×C₄	—	28	1	no	—
875	C₂×C₄	—	28	1	no	—
876	C₂×C₄	—	28	1	no	—
877	C₂×C₄	—	28	1	no	—
878	C₂×C₄	—	28	1	no	—
879	C₂×C₄	—	28	1	no	—
880	C₂×C₄	—	28	1	no	—
881	C₂×C₄	—	28	1	no	—
882	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
883	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
884	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
885	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
886	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
887	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
888	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
889	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
890	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
891	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
892	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
893	C₂×C₄	C₂³×D₇	1	1	yes	characteristic
894	C₇	#3552	1	1	yes	characteristic, complemented, Sylow
895	C₂²	—	2	1	no	—
896	C₂²	—	2	1	no	—
897	C₂²	—	2	1	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	1	no	—
900	C₂²	—	2	1	no	—
901	C₂²	—	2	1	no	—
902	C₂²	—	2	1	no	—
903	C₂²	—	14	1	no	—
904	C₂²	—	14	1	no	—
905	C₂²	—	14	1	no	—
906	C₂²	—	14	1	no	—
907	C₂²	—	14	1	no	—
908	C₂²	—	14	1	no	—
909	C₂²	#6554	1	2	yes	—
910	C₂²	C₂⁴×D₇	1	1	yes	characteristic
911	C₄	—	2	1	no	—
912	C₄	—	2	1	no	—
913	C₄	—	2	1	no	—
914	C₄	—	2	1	no	—
915	C₄	—	2	1	no	—
916	C₄	—	2	1	no	—
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	1	no	—
920	C₄	—	2	1	no	—
921	C₄	—	2	1	no	—
922	C₄	—	2	1	no	—
923	C₄	—	7	2	no	—
924	C₄	—	7	2	no	—
925	C₄	—	14	1	no	—
926	C₄	—	14	1	no	—
927	C₄	—	14	1	no	—
928	C₄	—	14	1	no	—
929	C₄	—	14	1	no	—
930	C₄	—	14	1	no	—
931	C₄	—	14	1	no	—
932	C₄	—	14	1	no	—
933	C₄	—	14	1	no	—
934	C₄	—	14	1	no	—
935	C₄	—	14	1	no	—
936	C₄	—	14	1	no	—
937	C₂	—	2	2	no	—
938	C₂	—	4	1	no	—
939	C₂	—	4	1	no	—
940	C₂	—	28	1	no	—
941	C₂	—	28	1	no	—
942	C₂	C₂×#6554	1	1	yes	characteristic
943	C₂	D₇×H(5,𝔽₂)	1	1	yes	characteristic
944	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×#539	C₂
hypercenter	#539	D₇
hypocenter	C₇	#3552
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. C₇×#539	C₂	semidirect
2. #90403	C₂	semidirect
3. #90401	C₂	semidirect
4. #90393	C₂	semidirect
5. #90392	C₂	semidirect
6. #90390	C₂	semidirect
7. #90387	C₂	semidirect
8. #90380	C₂	semidirect
9. #90376	C₂	semidirect
10. #90356	C₂	semidirect
11. #90356	C₂	semidirect
12. #90353	C₂	semidirect
13. #90346	C₂	semidirect
14. #90342	C₂	semidirect
15. #90340	C₂	semidirect
16. #90340	C₂	semidirect
17. #90339	C₂	semidirect
18. #90337	C₂	semidirect
19. #90327	C₂	semidirect
20. #90323	C₂	semidirect
21. #90323	C₂	semidirect
22. #90319	C₂	semidirect
23. #90314	C₂	semidirect
24. #90292	C₂	semidirect
25. #90289	C₂	semidirect
26. #90243	C₂	semidirect
27. #90231	C₂	semidirect
28. #90230	C₂	semidirect
29. D₄×Dic₁₄	C₂	semidirect
30. #90206	C₂	semidirect
31. C₂×#6451	C₂	semidirect
374. #539	D₇	semidirect
894. C₇	#3552	semidirect

Maximal subgroups

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

subgroup	index
C₇×#539	2
#90403	2
#90401	2
#90393	2
#90392	2
#90390	2
#90387	2
#90380	2
#90376	2
#90356	2
#90353	2
#90346	2
#90342	2
#90340	2
#90339	2
#90337	2
#90327	2
#90323	2
#90319	2
#90314	2
#90292	2
#90289	2
#90243	2
#90231	2
#90230	2
D₄×Dic₁₄	2
#90206	2
C₂×#6451	2
#3552	7