Subgroups — C₇×#62074 #13239290

Order 1792.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1204 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3391	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3368	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3364	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3330	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3309	C₂	1	2	yes	maximal, complemented
9	C₇×#3297	C₂	1	2	yes	maximal, complemented
10	C₇×#3294	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3287	C₂	1	2	yes	maximal, complemented
12	C₇×#3284	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3268	C₂	1	2	yes	maximal, complemented
15	C₇×#3257	C₂	1	2	yes	maximal, complemented
16	C₇×#3245	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3220	C₂	1	2	yes	maximal, complemented
18	C₇×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3124	C₂	1	2	yes	maximal, complemented
20	C₇×#3106	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3045	C₂	1	2	yes	maximal, complemented
22	C₇×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₇×#135	C₂²	1	2	yes	complemented
26	C₂×C₇×#135	C₂²	1	2	yes	complemented
27	C₇×#560	—	2	2	no	—
28	C₇×#557	C₂²	1	1	yes	characteristic, complemented
29	C₇×#556	C₂²	1	1	yes	characteristic
30	C₇×#553	—	2	2	no	—
31	C₇×#553	—	2	1	no	—
32	C₇×#553	C₂²	1	2	yes	complemented
33	C₇×#550	—	2	1	no	—
34	C₇×#550	C₂²	1	1	yes	characteristic
35	C₇×#550	C₂²	1	2	yes	—
36	C₇×#550	C₂²	1	1	yes	characteristic
37	C₇×#550	C₂²	1	2	yes	complemented
38	C₇×#550	C₂²	1	1	yes	characteristic, complemented
39	C₇×#547	—	2	1	no	—
40	C₇×#547	C₂²	1	1	yes	characteristic
41	C₇×#547	C₂²	1	1	yes	characteristic
42	C₇×#546	—	2	1	no	—
43	C₇×#546	C₂²	1	2	yes	—
44	C₇×D₄²	C₂²	1	1	yes	characteristic
45	C₇×#542	C₂²	1	2	yes	—
46	C₇×#540	—	2	2	no	—
47	C₇×#540	C₂²	1	2	yes	complemented
48	C₇×#538	—	2	2	no	—
49	C₇×#537	—	2	1	no	—
50	C₇×#535	—	2	1	no	—
51	C₇×#535	C₂²	1	2	yes	—
52	C₇×#532	—	2	1	no	—
53	C₇×#532	C₂²	1	1	yes	characteristic
54	C₇×#532	C₂²	1	1	yes	characteristic
55	C₇×#532	C₂²	1	1	yes	characteristic, complemented
56	C₇×#529	—	2	1	no	—
57	C₇×#529	C₂²	1	1	yes	characteristic
58	C₇×#520	C₂²	1	2	yes	complemented
59	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
60	C₇×#496	C₂²	1	2	yes	—
61	C₇×#493	C₂²	1	1	yes	characteristic
62	C₇×#493	C₂²	1	2	yes	complemented
63	C₇×#492	C₂²	1	1	yes	characteristic, complemented
64	C₇×#490	C₂²	1	2	yes	complemented
65	C₇×#488	C₂²	1	2	yes	—
66	C₇×#487	C₂²	1	1	yes	characteristic, complemented
67	C₇×#486	C₂²	1	1	yes	characteristic
68	C₇×#484	C₂²	1	2	yes	complemented
69	C₇×#482	C₂²	1	1	yes	characteristic
70	C₇×#482	C₂²	1	1	yes	characteristic, complemented
71	C₇×#480	C₂²	1	2	yes	—
72	C₇×#479	C₂²	1	2	yes	complemented
73	C₇×#478	C₂²	1	2	yes	complemented
74	C₇×#477	C₂²	1	1	yes	characteristic, complemented
75	C₇×#476	C₂²	1	1	yes	characteristic, complemented
76	C₇×#474	C₂²	1	1	yes	characteristic
77	C₇×#474	C₂²	1	2	yes	complemented
78	C₇×#474	C₂²	1	1	yes	characteristic, complemented
79	C₇×#469	C₂²	1	2	yes	—
80	C₇×#468	C₂²	1	2	yes	complemented
81	C₇×#466	C₂²	1	2	yes	—
82	C₇×#466	C₂²	1	2	yes	—
83	C₇×#466	C₂²	1	2	yes	complemented
84	C₇×#465	C₂²	1	2	yes	complemented
85	C₇×#464	C₂²	1	2	yes	—
86	C₇×#464	C₂²	1	2	yes	complemented
87	C₇×#463	C₂²	1	2	yes	—
88	C₇×#463	C₂²	1	2	yes	complemented
89	C₇×#463	C₂²	1	2	yes	complemented
90	C₇×#463	C₂²	1	2	yes	complemented
91	C₇×#462	C₂²	1	1	yes	characteristic, complemented
92	C₇×#461	C₂²	1	1	yes	characteristic, complemented
93	C₇×#460	C₂²	1	1	yes	characteristic
94	C₇×#460	C₂²	1	1	yes	characteristic
95	C₇×#460	C₂²	1	2	yes	complemented
96	C₇×#460	C₂²	1	2	yes	complemented
97	C₇×#459	C₂²	1	1	yes	characteristic
98	C₇×#459	C₂²	1	2	yes	—
99	C₇×#459	C₂²	1	1	yes	characteristic
100	C₇×#459	C₂²	1	1	yes	characteristic
101	C₇×#459	C₂²	1	1	yes	characteristic, complemented
102	C₇×#459	C₂²	1	2	yes	complemented
103	C₇×#459	C₂²	1	2	yes	complemented
104	C₇×#452	C₂²	1	2	yes	complemented
105	C₇×#449	C₂²	1	1	yes	characteristic
106	C₇×#449	C₂²	1	2	yes	—
107	C₇×#449	C₂²	1	2	yes	complemented
108	C₇×#449	C₂²	1	2	yes	complemented
109	C₇×#449	C₂²	1	2	yes	complemented
110	C₇×#449	C₂²	1	2	yes	complemented
111	C₇×#449	C₂²	1	1	yes	characteristic, complemented
112	C₇×#447	C₂²	1	2	yes	—
113	C₇×#447	C₂²	1	2	yes	—
114	C₇×#446	C₂²	1	1	yes	characteristic, complemented
115	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
116	C₇×#440	C₂²	1	2	yes	complemented
117	C₇×#440	C₂²	1	2	yes	complemented
118	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
119	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
122	C₄×C₇×D₈	C₂²	1	2	yes	complemented
123	C₄×C₇×D₈	C₂²	1	1	yes	characteristic, complemented
124	C₇×#436	C₂²	1	1	yes	characteristic
125	C₇×#435	C₂²	1	2	yes	complemented
126	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
127	C₇×C₈×D₄	C₂²	1	2	yes	complemented
128	C₇×#433	C₂²	1	2	yes	complemented
129	C₇×#431	C₂²	1	1	yes	characteristic, complemented
130	C₇×#424	C₂²	1	2	yes	complemented
131	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
132	C₇×#417	C₂²	1	2	yes	complemented
133	C₇×#416	C₂²	1	2	yes	complemented
134	C₂×C₇×#102	C₂²	1	2	yes	—
135	#62074	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	1	no	—
137	C₂×C₇×#41	—	2	1	no	—
138	C₂×C₇×#41	—	2	1	no	—
139	C₂×C₇×#41	—	2	1	no	—
140	C₂×C₇×#41	—	2	1	no	—
141	C₂×C₇×#41	C₂³	1	1	yes	characteristic
142	C₂×C₇×#41	C₂³	1	2	yes	—
143	C₂×C₇×#41	C₂³	1	2	yes	—
144	C₂×C₇×#41	C₂³	1	2	yes	—
145	C₂²×C₇×D₄	—	2	1	no	—
146	C₂²×C₇×D₄	C₂³	1	2	yes	—
147	C₇×AGL(1,ℤ/8)	—	4	4	no	—
148	C₇×#135	—	4	4	no	—
149	C₇×#135	—	4	4	no	—
150	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₇×D₈	C₂³	1	2	yes	—
158	C₂×C₇×D₈	C₂³	1	2	yes	—
159	C₂×C₇×D₈	C₂³	1	2	yes	—
160	C₂×C₇×D₈	C₂³	1	2	yes	—
161	C₂×C₇×D₈	C₂³	1	2	yes	—
162	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
163	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
164	C₂×C₇×M₁₆	C₂³	1	2	yes	—
165	C₂²×C₇×C₈	C₂³	1	2	yes	—
166	C₂²×C₇×C₈	C₂³	1	2	yes	—
167	C₇×C₄⋊Q₈	—	2	1	no	—
168	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₇×#127	—	2	1	no	—
172	C₇×#127	—	2	2	no	—
173	C₇×#127	—	2	2	no	—
174	C₇×#127	C₂³	1	1	yes	characteristic
175	C₇×#127	C₂³	1	2	yes	—
176	C₇×#127	C₂³	1	1	yes	characteristic
177	C₇×#127	C₂³	1	2	yes	—
178	C₇×#127	C₂³	1	1	yes	characteristic
179	C₇×#126	—	2	2	no	—
180	C₇×#126	—	2	2	no	—
181	C₇×#126	—	2	2	no	—
182	C₇×#126	D₄	1	2	yes	—
183	C₇×#125	—	2	2	no	—
184	C₇×#125	D₄	1	1	yes	characteristic
185	C₇×#125	C₂³	1	2	yes	—
186	C₇×#124	—	2	2	no	—
187	C₇×#124	—	2	1	no	—
188	C₇×#124	—	2	1	no	—
189	C₇×#124	D₄	1	1	yes	characteristic
190	C₇×#124	C₂³	1	2	yes	—
191	C₇×#124	C₂³	1	2	yes	—
192	C₇×#123	—	2	2	no	—
193	C₇×#123	—	2	2	no	—
194	C₇×#123	—	2	2	no	—
195	C₇×#123	—	2	2	no	—
196	C₇×#123	—	2	2	no	—
197	C₇×#123	—	2	2	no	—
198	C₇×#123	—	2	2	no	—
199	C₇×#123	D₄	1	2	yes	—
200	C₇×C₂²⋊Q₈	—	2	1	no	—
201	C₇×C₂²⋊Q₈	—	2	1	no	—
202	C₇×C₂²⋊Q₈	—	2	2	no	—
203	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
204	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₇×#121	—	2	1	no	—
206	C₇×#121	—	2	2	no	—
207	C₇×#121	—	2	1	no	—
208	C₇×#121	—	2	1	no	—
209	C₇×#121	—	2	1	no	—
210	C₇×#121	—	2	1	no	—
211	C₇×#121	—	2	1	no	—
212	C₇×#121	—	2	1	no	—
213	C₇×#121	—	2	2	no	—
214	C₇×#121	—	2	2	no	—
215	C₇×#121	—	2	1	no	—
216	C₇×#121	—	2	2	no	—
217	C₇×#121	—	2	2	no	—
218	C₇×#121	—	2	2	no	—
219	C₇×#121	—	2	2	no	—
220	C₇×#121	—	2	2	no	—
221	C₇×#121	—	2	2	no	—
222	C₇×#121	—	2	2	no	—
223	C₇×#121	—	2	2	no	—
224	C₇×#121	—	2	2	no	—
225	C₇×#121	—	2	2	no	—
226	C₇×#121	D₄	1	1	yes	characteristic
227	C₇×#121	C₂³	1	1	yes	characteristic
228	C₇×#121	C₂³	1	2	yes	—
229	C₇×#121	C₂³	1	2	yes	—
230	C₇×#121	C₂³	1	2	yes	—
231	C₇×#121	C₂³	1	1	yes	characteristic
232	C₇×#121	C₂³	1	2	yes	—
233	C₇×#120	—	2	2	no	—
234	C₇×#120	—	2	2	no	—
235	C₇×#120	—	2	2	no	—
236	C₇×#120	—	2	2	no	—
237	C₄×C₇×Q₈	—	2	1	no	—
238	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₇×Q₈	C₂³	1	2	yes	—
240	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
241	C₄×C₇×Q₈	C₂³	1	2	yes	—
242	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
243	C₄×C₇×D₄	—	2	1	no	—
244	C₄×C₇×D₄	—	2	1	no	—
245	C₄×C₇×D₄	—	2	1	no	—
246	C₄×C₇×D₄	—	2	2	no	—
247	C₄×C₇×D₄	—	2	2	no	—
248	C₄×C₇×D₄	—	2	2	no	—
249	C₄×C₇×D₄	—	2	2	no	—
250	C₄×C₇×D₄	—	2	2	no	—
251	C₄×C₇×D₄	—	2	1	no	—
252	C₄×C₇×D₄	—	2	1	no	—
253	C₄×C₇×D₄	—	2	1	no	—
254	C₄×C₇×D₄	—	2	1	no	—
255	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₇×D₄	C₂³	1	2	yes	—
257	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
258	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
259	C₄×C₇×D₄	C₂³	1	2	yes	—
260	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
261	C₄×C₇×D₄	C₂³	1	2	yes	—
262	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
263	C₄×C₇×D₄	C₂³	1	2	yes	—
264	C₇×#117	—	2	2	no	—
265	C₇×#117	—	2	1	no	—
266	C₇×#117	—	2	1	no	—
267	C₇×#117	C₂³	1	1	yes	characteristic
268	C₇×#117	C₂³	1	2	yes	—
269	C₂×C₇×C₄⋊C₄	—	2	2	no	—
270	C₂×C₇×C₄⋊C₄	—	2	1	no	—
271	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
272	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
273	C₂×C₄²×C₇	—	2	1	no	—
274	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
275	C₇×#107	C₂³	1	2	yes	—
276	C₇×#107	C₂³	1	2	yes	—
277	C₇×#107	C₂³	1	1	yes	characteristic
278	C₇×#107	C₂³	1	1	yes	characteristic
279	C₇×#106	C₂³	1	1	yes	characteristic
280	C₇×#106	C₂³	1	1	yes	characteristic
281	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₇×C₄⋊C₈	C₂³	1	2	yes	—
283	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₇×C₄⋊C₈	C₂³	1	2	yes	—
287	C₇×C₄⋊C₈	C₂³	1	2	yes	—
288	C₇×#103	C₂³	1	2	yes	—
289	C₇×#103	C₂³	1	1	yes	characteristic
290	C₇×#103	C₂³	1	1	yes	characteristic
291	C₇×#103	C₂³	1	2	yes	—
292	C₇×#103	C₂³	1	2	yes	—
293	C₇×#103	C₂³	1	2	yes	—
294	C₇×#102	C₂³	1	1	yes	characteristic
295	C₇×#102	C₂³	1	2	yes	—
296	C₇×#102	C₂³	1	2	yes	—
297	C₇×#102	C₂³	1	2	yes	—
298	C₇×#102	C₂³	1	2	yes	—
299	C₇×#102	C₂³	1	2	yes	—
300	C₇×#102	C₂³	1	1	yes	characteristic
301	C₇×#102	C₂³	1	2	yes	—
302	C₇×#102	C₂³	1	2	yes	—
303	C₇×#102	C₂³	1	2	yes	—
304	C₇×#102	C₂³	1	1	yes	characteristic
305	C₇×#102	C₂³	1	1	yes	characteristic
306	C₇×#102	C₂³	1	1	yes	characteristic
307	C₇×#102	C₂³	1	1	yes	characteristic
308	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₇×#97	C₂³	1	2	yes	—
313	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
314	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
315	C₄×C₇×C₈	C₂³	1	2	yes	—
316	#3546	C₂×C₇	1	1	yes	characteristic, complemented
317	#3517	C₂×C₇	1	1	yes	characteristic, complemented
318	#3397	C₂×C₇	1	1	yes	characteristic, complemented
319	#3391	C₂×C₇	1	1	yes	characteristic, complemented
320	#3368	C₂×C₇	1	1	yes	characteristic, complemented
321	#3364	C₂×C₇	1	1	yes	characteristic, complemented
322	#3330	C₂×C₇	1	1	yes	characteristic, complemented
323	#3309	C₂×C₇	1	2	yes	complemented
324	#3297	C₂×C₇	1	2	yes	complemented
325	#3294	C₂×C₇	1	1	yes	characteristic, complemented
326	#3287	C₂×C₇	1	2	yes	complemented
327	#3284	C₂×C₇	1	1	yes	characteristic, complemented
328	#3274	C₂×C₇	1	1	yes	characteristic, complemented
329	#3268	C₂×C₇	1	2	yes	complemented
330	#3257	C₂×C₇	1	2	yes	complemented
331	#3245	C₂×C₇	1	1	yes	characteristic, complemented
332	#3220	C₂×C₇	1	2	yes	complemented
333	#3207	C₂×C₇	1	1	yes	characteristic, complemented
334	#3124	C₂×C₇	1	2	yes	complemented
335	#3106	C₂×C₇	1	1	yes	characteristic, complemented
336	#3045	C₂×C₇	1	2	yes	complemented
337	#3035	C₂×C₇	1	1	yes	characteristic, complemented
338	#2994	C₂×C₇	1	1	yes	characteristic, complemented
339	C₂⁴×C₇	—	2	2	no	—
340	C₇×#41	—	2	2	no	—
341	C₇×#41	—	2	4	no	—
342	C₇×#41	—	4	2	no	—
343	C₇×#41	—	4	1	no	—
344	C₇×#41	—	4	2	no	—
345	C₇×#41	—	4	2	no	—
346	C₇×#41	—	4	2	no	—
347	C₇×#41	—	4	2	no	—
348	C₇×#41	—	8	2	no	—
349	C₇×#41	—	8	2	no	—
350	C₇×#41	—	8	2	no	—
351	C₇×#41	—	8	2	no	—
352	C₇×#41	—	8	2	no	—
353	C₂×C₇×Q₈	—	2	1	no	—
354	C₂×C₇×Q₈	—	2	1	no	—
355	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
356	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
357	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
358	C₂×C₇×D₄	—	2	2	no	—
359	C₂×C₇×D₄	—	2	1	no	—
360	C₂×C₇×D₄	—	2	2	no	—
361	C₂×C₇×D₄	—	2	1	no	—
362	C₂×C₇×D₄	—	2	2	no	—
363	C₂×C₇×D₄	—	2	2	no	—
364	C₂×C₇×D₄	—	2	2	no	—
365	C₂×C₇×D₄	—	2	2	no	—
366	C₂×C₇×D₄	—	2	2	no	—
367	C₂×C₇×D₄	—	2	1	no	—
368	C₂×C₇×D₄	—	2	1	no	—
369	C₂×C₇×D₄	—	2	1	no	—
370	C₂×C₇×D₄	—	2	1	no	—
371	C₂×C₇×D₄	—	2	1	no	—
372	C₂×C₇×D₄	—	2	2	no	—
373	C₂×C₇×D₄	—	2	1	no	—
374	C₂×C₇×D₄	—	2	2	no	—
375	C₂×C₇×D₄	—	2	1	no	—
376	C₂×C₇×D₄	—	2	2	no	—
377	C₂×C₇×D₄	—	2	2	no	—
378	C₂×C₇×D₄	—	2	2	no	—
379	C₂×C₇×D₄	—	4	2	no	—
380	C₂×C₇×D₄	—	4	2	no	—
381	C₂×C₇×D₄	—	8	2	no	—
382	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
383	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
384	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
385	C₂×C₇×D₄	C₂⁴	1	2	yes	—
386	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
387	C₂×C₇×D₄	C₂⁴	1	2	yes	—
388	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₇	—	2	2	no	—
390	C₂²×C₄×C₇	—	2	1	no	—
391	C₂²×C₄×C₇	—	2	1	no	—
392	C₂²×C₄×C₇	—	2	2	no	—
393	C₂²×C₄×C₇	—	2	1	no	—
394	C₂²×C₄×C₇	—	2	1	no	—
395	C₂²×C₄×C₇	—	2	1	no	—
396	C₂²×C₄×C₇	—	2	2	no	—
397	C₂²×C₄×C₇	—	2	2	no	—
398	C₂²×C₄×C₇	—	2	2	no	—
399	C₂²×C₄×C₇	—	2	2	no	—
400	C₂²×C₄×C₇	—	2	2	no	—
401	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
405	C₇×Q₁₆	—	2	4	no	—
406	C₇×SD₁₆	—	2	2	no	—
407	C₇×SD₁₆	—	2	4	no	—
408	C₇×SD₁₆	—	2	2	no	—
409	C₇×SD₁₆	—	4	2	no	—
410	C₇×SD₁₆	—	4	2	no	—
411	C₇×SD₁₆	—	4	2	no	—
412	C₇×D₈	—	4	1	no	—
413	C₇×D₈	—	4	2	no	—
414	C₇×D₈	—	4	1	no	—
415	C₇×D₈	—	4	2	no	—
416	C₇×D₈	—	4	2	no	—
417	C₇×D₈	—	4	2	no	—
418	C₇×D₈	—	4	2	no	—
419	C₇×M₁₆	—	4	2	no	—
420	C₂×C₇×C₈	—	4	2	no	—
421	C₂×C₇×C₈	—	4	2	no	—
422	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
423	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
424	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
425	C₂×C₇×C₈	C₂⁴	1	2	yes	—
426	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
427	C₂×C₇×C₈	C₂⁴	1	2	yes	—
428	C₇×C₄⋊C₄	—	2	1	no	—
429	C₇×C₄⋊C₄	—	2	2	no	—
430	C₇×C₄⋊C₄	—	2	1	no	—
431	C₇×C₄⋊C₄	—	2	2	no	—
432	C₇×C₄⋊C₄	—	2	2	no	—
433	C₇×C₄⋊C₄	—	2	1	no	—
434	C₇×C₄⋊C₄	—	2	1	no	—
435	C₇×C₄⋊C₄	—	2	2	no	—
436	C₇×C₄⋊C₄	—	2	1	no	—
437	C₇×C₄⋊C₄	—	2	1	no	—
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	—	2	2	no	—
440	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
441	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
442	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
443	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
445	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
446	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	—	2	1	no	—
453	C₇×C₂²⋊C₄	—	2	1	no	—
454	C₇×C₂²⋊C₄	—	2	2	no	—
455	C₇×C₂²⋊C₄	—	2	2	no	—
456	C₇×C₂²⋊C₄	—	2	1	no	—
457	C₇×C₂²⋊C₄	—	2	1	no	—
458	C₇×C₂²⋊C₄	—	2	2	no	—
459	C₇×C₂²⋊C₄	—	2	2	no	—
460	C₇×C₂²⋊C₄	—	2	1	no	—
461	C₇×C₂²⋊C₄	—	2	2	no	—
462	C₇×C₂²⋊C₄	—	2	2	no	—
463	C₇×C₂²⋊C₄	—	2	2	no	—
464	C₇×C₂²⋊C₄	—	2	2	no	—
465	C₇×C₂²⋊C₄	—	2	2	no	—
466	C₇×C₂²⋊C₄	—	2	2	no	—
467	C₇×C₂²⋊C₄	—	2	1	no	—
468	C₇×C₂²⋊C₄	—	2	2	no	—
469	C₇×C₂²⋊C₄	—	2	1	no	—
470	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
471	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
472	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
473	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
474	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
475	C₄²×C₇	—	2	1	no	—
476	C₄²×C₇	—	2	1	no	—
477	C₄²×C₇	—	2	1	no	—
478	C₄²×C₇	—	2	2	no	—
479	C₄²×C₇	—	2	2	no	—
480	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
481	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
482	C₄²×C₇	C₂⁴	1	1	yes	characteristic
483	C₄²×C₇	C₂⁴	1	2	yes	—
484	C₄²×C₇	C₂⁴	1	1	yes	characteristic
485	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	2	yes	—
486	C₂×#135	C₂²×C₇	1	2	yes	complemented
487	C₂×#135	C₂²×C₇	1	2	yes	complemented
488	#560	—	2	2	no	—
489	#557	C₂²×C₇	1	1	yes	characteristic, complemented
490	#556	C₂²×C₇	1	1	yes	characteristic
491	#553	—	2	2	no	—
492	#553	—	2	1	no	—
493	#553	C₂²×C₇	1	2	yes	complemented
494	#550	—	2	1	no	—
495	#550	C₂²×C₇	1	1	yes	characteristic
496	#550	C₂²×C₇	1	2	yes	—
497	#550	C₂²×C₇	1	1	yes	characteristic
498	#550	C₂²×C₇	1	2	yes	complemented
499	#550	C₂²×C₇	1	1	yes	characteristic, complemented
500	#547	—	2	1	no	—
501	#547	C₂²×C₇	1	1	yes	characteristic
502	#547	C₂²×C₇	1	1	yes	characteristic
503	#546	—	2	1	no	—
504	#546	C₂²×C₇	1	2	yes	—
505	D₄²	C₂²×C₇	1	1	yes	characteristic
506	#542	C₂²×C₇	1	2	yes	—
507	#540	—	2	2	no	—
508	#540	C₂²×C₇	1	2	yes	complemented
509	#538	—	2	2	no	—
510	#537	—	2	1	no	—
511	#535	—	2	1	no	—
512	#535	C₂²×C₇	1	2	yes	—
513	#532	—	2	1	no	—
514	#532	C₂²×C₇	1	1	yes	characteristic
515	#532	C₂²×C₇	1	1	yes	characteristic
516	#532	C₂²×C₇	1	1	yes	characteristic, complemented
517	#529	—	2	1	no	—
518	#529	C₂²×C₇	1	1	yes	characteristic
519	#520	C₂²×C₇	1	2	yes	complemented
520	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
521	#496	C₂²×C₇	1	2	yes	—
522	#493	C₂²×C₇	1	1	yes	characteristic
523	#493	C₂²×C₇	1	2	yes	complemented
524	#492	C₂²×C₇	1	1	yes	characteristic, complemented
525	#490	C₂²×C₇	1	2	yes	complemented
526	#488	C₂²×C₇	1	2	yes	—
527	#487	C₂²×C₇	1	1	yes	characteristic, complemented
528	#486	C₂²×C₇	1	1	yes	characteristic
529	#484	C₂²×C₇	1	2	yes	complemented
530	#482	C₂²×C₇	1	1	yes	characteristic
531	#482	C₂²×C₇	1	1	yes	characteristic, complemented
532	#480	C₂²×C₇	1	2	yes	—
533	#479	C₂²×C₇	1	2	yes	complemented
534	#478	C₂²×C₇	1	2	yes	complemented
535	#477	C₂²×C₇	1	1	yes	characteristic, complemented
536	#476	C₂²×C₇	1	1	yes	characteristic, complemented
537	#474	C₂²×C₇	1	1	yes	characteristic
538	#474	C₂²×C₇	1	1	yes	characteristic, complemented
539	#474	C₂²×C₇	1	2	yes	complemented
540	#469	C₂²×C₇	1	2	yes	—
541	#468	C₂²×C₇	1	2	yes	complemented
542	#466	C₂²×C₇	1	2	yes	—
543	#466	C₂²×C₇	1	2	yes	—
544	#466	C₂²×C₇	1	2	yes	complemented
545	#465	C₂²×C₇	1	2	yes	complemented
546	#464	C₂²×C₇	1	2	yes	—
547	#464	C₂²×C₇	1	2	yes	complemented
548	#463	C₂²×C₇	1	2	yes	—
549	#463	C₂²×C₇	1	2	yes	complemented
550	#463	C₂²×C₇	1	2	yes	complemented
551	#463	C₂²×C₇	1	2	yes	complemented
552	#462	C₂²×C₇	1	1	yes	characteristic, complemented
553	#461	C₂²×C₇	1	1	yes	characteristic, complemented
554	#460	C₂²×C₇	1	1	yes	characteristic
555	#460	C₂²×C₇	1	1	yes	characteristic
556	#460	C₂²×C₇	1	2	yes	complemented
557	#460	C₂²×C₇	1	2	yes	complemented
558	#459	C₂²×C₇	1	1	yes	characteristic
559	#459	C₂²×C₇	1	1	yes	characteristic
560	#459	C₂²×C₇	1	1	yes	characteristic
561	#459	C₂²×C₇	1	2	yes	—
562	#459	C₂²×C₇	1	1	yes	characteristic, complemented
563	#459	C₂²×C₇	1	2	yes	complemented
564	#459	C₂²×C₇	1	2	yes	complemented
565	#452	C₂²×C₇	1	2	yes	complemented
566	#449	C₂²×C₇	1	1	yes	characteristic
567	#449	C₂²×C₇	1	2	yes	—
568	#449	C₂²×C₇	1	2	yes	complemented
569	#449	C₂²×C₇	1	1	yes	characteristic, complemented
570	#449	C₂²×C₇	1	2	yes	complemented
571	#449	C₂²×C₇	1	2	yes	complemented
572	#449	C₂²×C₇	1	2	yes	complemented
573	#447	C₂²×C₇	1	2	yes	—
574	#447	C₂²×C₇	1	2	yes	—
575	#446	C₂²×C₇	1	1	yes	characteristic, complemented
576	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
577	#440	C₂²×C₇	1	2	yes	complemented
578	#440	C₂²×C₇	1	2	yes	complemented
579	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
580	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
581	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
582	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
583	C₄×D₈	C₂²×C₇	1	1	yes	characteristic, complemented
584	C₄×D₈	C₂²×C₇	1	2	yes	complemented
585	#436	C₂²×C₇	1	1	yes	characteristic
586	#435	C₂²×C₇	1	2	yes	complemented
587	C₈×D₄	C₂²×C₇	1	1	yes	characteristic
588	C₈×D₄	C₂²×C₇	1	2	yes	complemented
589	#433	C₂²×C₇	1	2	yes	complemented
590	#431	C₂²×C₇	1	1	yes	characteristic, complemented
591	#424	C₂²×C₇	1	2	yes	complemented
592	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
593	#417	C₂²×C₇	1	2	yes	complemented
594	#416	C₂²×C₇	1	2	yes	complemented
595	C₂×#102	C₂²×C₇	1	2	yes	—
596	C₂³×C₇	—	2	1	no	—
597	C₂³×C₇	—	2	1	no	—
598	C₂³×C₇	—	2	2	no	—
599	C₂³×C₇	—	2	2	no	—
600	C₂³×C₇	—	2	1	no	—
601	C₂³×C₇	—	8	2	no	—
602	C₂³×C₇	—	8	2	no	—
603	C₂³×C₇	—	8	2	no	—
604	C₂³×C₇	C₂²×D₄	1	2	yes	—
605	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
606	C₇×Q₈	—	2	2	no	—
607	C₇×Q₈	—	2	1	no	—
608	C₇×Q₈	—	2	2	no	—
609	C₇×Q₈	—	2	2	no	—
610	C₇×Q₈	—	4	2	no	—
611	C₇×Q₈	—	8	1	no	—
612	C₇×Q₈	H(5,𝔽₂)	1	2	yes	—
613	C₇×D₄	—	2	2	no	—
614	C₇×D₄	—	2	2	no	—
615	C₇×D₄	—	2	1	no	—
616	C₇×D₄	—	2	2	no	—
617	C₇×D₄	—	2	1	no	—
618	C₇×D₄	—	2	1	no	—
619	C₇×D₄	—	2	1	no	—
620	C₇×D₄	—	2	2	no	—
621	C₇×D₄	—	2	1	no	—
622	C₇×D₄	—	2	2	no	—
623	C₇×D₄	—	2	1	no	—
624	C₇×D₄	—	4	2	no	—
625	C₇×D₄	—	4	2	no	—
626	C₇×D₄	—	4	4	no	—
627	C₇×D₄	—	4	2	no	—
628	C₇×D₄	—	4	2	no	—
629	C₇×D₄	—	8	1	no	—
630	C₇×D₄	—	8	1	no	—
631	C₇×D₄	—	8	1	no	—
632	C₇×D₄	—	8	2	no	—
633	C₇×D₄	—	8	2	no	—
634	C₇×D₄	—	8	2	no	—
635	C₇×D₄	—	8	1	no	—
636	C₇×D₄	—	8	2	no	—
637	C₇×D₄	—	8	2	no	—
638	C₇×D₄	—	8	2	no	—
639	C₇×D₄	—	8	2	no	—
640	C₇×D₄	—	8	2	no	—
641	C₇×D₄	—	8	2	no	—
642	C₇×D₄	—	8	1	no	—
643	C₇×D₄	—	8	1	no	—
644	C₇×D₄	—	8	2	no	—
645	C₇×D₄	—	8	2	no	—
646	C₂×C₄×C₇	—	2	1	no	—
647	C₂×C₄×C₇	—	2	2	no	—
648	C₂×C₄×C₇	—	2	1	no	—
649	C₂×C₄×C₇	—	2	2	no	—
650	C₂×C₄×C₇	—	2	2	no	—
651	C₂×C₄×C₇	—	2	1	no	—
652	C₂×C₄×C₇	—	2	1	no	—
653	C₂×C₄×C₇	—	2	1	no	—
654	C₂×C₄×C₇	—	2	1	no	—
655	C₂×C₄×C₇	—	2	2	no	—
656	C₂×C₄×C₇	—	2	2	no	—
657	C₂×C₄×C₇	—	2	1	no	—
658	C₂×C₄×C₇	—	4	1	no	—
659	C₂×C₄×C₇	—	4	2	no	—
660	C₂×C₄×C₇	—	4	4	no	—
661	C₂×C₄×C₇	—	4	2	no	—
662	C₂×C₄×C₇	—	4	2	no	—
663	C₂×C₄×C₇	—	4	2	no	—
664	C₂×C₄×C₇	—	8	1	no	—
665	C₂×C₄×C₇	—	8	2	no	—
666	C₂×C₄×C₇	—	8	2	no	—
667	C₂×C₄×C₇	—	8	2	no	—
668	C₂×C₄×C₇	—	8	2	no	—
669	C₂×C₄×C₇	—	8	2	no	—
670	C₂×C₄×C₇	—	8	2	no	—
671	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
672	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
673	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
674	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
675	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
676	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
677	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
678	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
679	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
680	C₇×C₈	—	2	2	no	—
681	C₇×C₈	—	2	1	no	—
682	C₇×C₈	—	2	2	no	—
683	C₇×C₈	—	2	1	no	—
684	C₇×C₈	—	2	1	no	—
685	C₇×C₈	—	2	1	no	—
686	C₂×#41	—	2	1	no	—
687	C₂×#41	—	2	1	no	—
688	C₂×#41	—	2	1	no	—
689	C₂×#41	—	2	1	no	—
690	C₂×#41	—	2	1	no	—
691	C₂×#41	C₂³×C₇	1	1	yes	characteristic
692	C₂×#41	C₂³×C₇	1	2	yes	—
693	C₂×#41	C₂³×C₇	1	2	yes	—
694	C₂×#41	C₂³×C₇	1	2	yes	—
695	C₂²×D₄	—	2	1	no	—
696	C₂²×D₄	C₂³×C₇	1	2	yes	—
697	AGL(1,ℤ/8)	—	4	4	no	—
698	#135	—	4	4	no	—
699	#135	—	4	4	no	—
700	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
701	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
702	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
704	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
707	C₂×D₈	C₂³×C₇	1	2	yes	—
708	C₂×D₈	C₂³×C₇	1	2	yes	—
709	C₂×D₈	C₂³×C₇	1	2	yes	—
710	C₂×D₈	C₂³×C₇	1	2	yes	—
711	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
712	C₂×D₈	C₂³×C₇	1	2	yes	—
713	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
714	C₂×M₁₆	C₂³×C₇	1	2	yes	—
715	C₂²×C₈	C₂³×C₇	1	2	yes	—
716	C₂²×C₈	C₂³×C₇	1	2	yes	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
721	#127	—	2	1	no	—
722	#127	—	2	2	no	—
723	#127	—	2	2	no	—
724	#127	C₂³×C₇	1	1	yes	characteristic
725	#127	C₂³×C₇	1	1	yes	characteristic
726	#127	C₂³×C₇	1	1	yes	characteristic
727	#127	C₂³×C₇	1	2	yes	—
728	#127	C₂³×C₇	1	2	yes	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	C₇×D₄	1	2	yes	—
733	#125	—	2	2	no	—
734	#125	C₇×D₄	1	1	yes	characteristic
735	#125	C₂³×C₇	1	2	yes	—
736	#124	—	2	2	no	—
737	#124	—	2	1	no	—
738	#124	—	2	1	no	—
739	#124	C₇×D₄	1	1	yes	characteristic
740	#124	C₂³×C₇	1	2	yes	—
741	#124	C₂³×C₇	1	2	yes	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	C₇×D₄	1	2	yes	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
754	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
755	#121	—	2	1	no	—
756	#121	—	2	2	no	—
757	#121	—	2	1	no	—
758	#121	—	2	1	no	—
759	#121	—	2	1	no	—
760	#121	—	2	1	no	—
761	#121	—	2	1	no	—
762	#121	—	2	1	no	—
763	#121	—	2	2	no	—
764	#121	—	2	2	no	—
765	#121	—	2	1	no	—
766	#121	—	2	2	no	—
767	#121	—	2	2	no	—
768	#121	—	2	2	no	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	2	no	—
775	#121	—	2	2	no	—
776	#121	C₇×D₄	1	1	yes	characteristic
777	#121	C₂³×C₇	1	1	yes	characteristic
778	#121	C₂³×C₇	1	1	yes	characteristic
779	#121	C₂³×C₇	1	2	yes	—
780	#121	C₂³×C₇	1	2	yes	—
781	#121	C₂³×C₇	1	2	yes	—
782	#121	C₂³×C₇	1	2	yes	—
783	#120	—	2	2	no	—
784	#120	—	2	2	no	—
785	#120	—	2	2	no	—
786	#120	—	2	2	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₇	1	2	yes	—
791	C₄×Q₈	C₂³×C₇	1	2	yes	—
792	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
807	C₄×D₄	C₂³×C₇	1	2	yes	—
808	C₄×D₄	C₂³×C₇	1	2	yes	—
809	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
811	C₄×D₄	C₂³×C₇	1	2	yes	—
812	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
813	C₄×D₄	C₂³×C₇	1	2	yes	—
814	#117	—	2	2	no	—
815	#117	—	2	1	no	—
816	#117	—	2	1	no	—
817	#117	C₂³×C₇	1	1	yes	characteristic
818	#117	C₂³×C₇	1	2	yes	—
819	C₂×C₄⋊C₄	—	2	2	no	—
820	C₂×C₄⋊C₄	—	2	1	no	—
821	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
822	C₂×C₂²⋊C₄	—	2	2	no	—
823	C₂×C₄²	—	2	1	no	—
824	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
825	#107	C₂³×C₇	1	1	yes	characteristic
826	#107	C₂³×C₇	1	1	yes	characteristic
827	#107	C₂³×C₇	1	2	yes	—
828	#107	C₂³×C₇	1	2	yes	—
829	#106	C₂³×C₇	1	1	yes	characteristic
830	#106	C₂³×C₇	1	1	yes	characteristic
831	C₄⋊C₈	C₂³×C₇	1	2	yes	—
832	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
834	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
835	C₄⋊C₈	C₂³×C₇	1	2	yes	—
836	C₄⋊C₈	C₂³×C₇	1	2	yes	—
837	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
838	#103	C₂³×C₇	1	2	yes	—
839	#103	C₂³×C₇	1	2	yes	—
840	#103	C₂³×C₇	1	2	yes	—
841	#103	C₂³×C₇	1	1	yes	characteristic
842	#103	C₂³×C₇	1	1	yes	characteristic
843	#103	C₂³×C₇	1	2	yes	—
844	#102	C₂³×C₇	1	1	yes	characteristic
845	#102	C₂³×C₇	1	2	yes	—
846	#102	C₂³×C₇	1	2	yes	—
847	#102	C₂³×C₇	1	2	yes	—
848	#102	C₂³×C₇	1	2	yes	—
849	#102	C₂³×C₇	1	1	yes	characteristic
850	#102	C₂³×C₇	1	2	yes	—
851	#102	C₂³×C₇	1	1	yes	characteristic
852	#102	C₂³×C₇	1	1	yes	characteristic
853	#102	C₂³×C₇	1	2	yes	—
854	#102	C₂³×C₇	1	1	yes	characteristic
855	#102	C₂³×C₇	1	1	yes	characteristic
856	#102	C₂³×C₇	1	2	yes	—
857	#102	C₂³×C₇	1	2	yes	—
858	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
859	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
860	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
862	#97	C₂³×C₇	1	2	yes	—
863	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
864	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
865	C₄×C₈	C₂³×C₇	1	2	yes	—
866	C₂²×C₇	—	2	1	no	—
867	C₂²×C₇	—	2	2	no	—
868	C₂²×C₇	—	2	1	no	—
869	C₂²×C₇	—	2	2	no	—
870	C₂²×C₇	—	2	1	no	—
871	C₂²×C₇	—	2	2	no	—
872	C₂²×C₇	—	4	1	no	—
873	C₂²×C₇	—	4	1	no	—
874	C₂²×C₇	—	4	2	no	—
875	C₂²×C₇	—	4	2	no	—
876	C₂²×C₇	—	4	1	no	—
877	C₂²×C₇	—	4	2	no	—
878	C₂²×C₇	—	4	1	no	—
879	C₂²×C₇	—	4	1	no	—
880	C₂²×C₇	—	4	2	no	—
881	C₂²×C₇	—	4	1	no	—
882	C₂²×C₇	—	4	1	no	—
883	C₂²×C₇	—	4	1	no	—
884	C₂²×C₇	—	4	1	no	—
885	C₂²×C₇	—	4	2	no	—
886	C₂²×C₇	—	4	2	no	—
887	C₂²×C₇	—	16	4	no	—
888	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
889	C₄×C₇	—	2	1	no	—
890	C₄×C₇	—	2	1	no	—
891	C₄×C₇	—	2	2	no	—
892	C₄×C₇	—	2	1	no	—
893	C₄×C₇	—	2	2	no	—
894	C₄×C₇	—	2	2	no	—
895	C₄×C₇	—	2	1	no	—
896	C₄×C₇	—	2	2	no	—
897	C₄×C₇	—	4	1	no	—
898	C₄×C₇	—	4	2	no	—
899	C₄×C₇	—	4	1	no	—
900	C₄×C₇	—	4	1	no	—
901	C₄×C₇	—	4	1	no	—
902	C₄×C₇	—	4	2	no	—
903	C₄×C₇	#576	1	2	yes	—
904	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
905	C₄×C₇	#585	1	1	yes	characteristic
906	C₂⁴	—	2	2	no	—
907	#41	—	2	2	no	—
908	#41	—	2	4	no	—
909	#41	—	4	2	no	—
910	#41	—	4	1	no	—
911	#41	—	4	2	no	—
912	#41	—	4	2	no	—
913	#41	—	4	2	no	—
914	#41	—	4	2	no	—
915	#41	—	8	2	no	—
916	#41	—	8	2	no	—
917	#41	—	8	2	no	—
918	#41	—	8	2	no	—
919	#41	—	8	2	no	—
920	C₂×Q₈	—	2	1	no	—
921	C₂×Q₈	—	2	1	no	—
922	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
923	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
924	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	1	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	2	1	no	—
938	C₂×D₄	—	2	1	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	1	no	—
941	C₂×D₄	—	2	2	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	2	no	—
945	C₂×D₄	—	2	2	no	—
946	C₂×D₄	—	4	2	no	—
947	C₂×D₄	—	4	2	no	—
948	C₂×D₄	—	8	2	no	—
949	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
950	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
951	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
952	C₂×D₄	C₂⁴×C₇	1	2	yes	—
953	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
954	C₂×D₄	C₂⁴×C₇	1	2	yes	—
955	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	1	no	—
958	C₂²×C₄	—	2	1	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	1	no	—
961	C₂²×C₄	—	2	1	no	—
962	C₂²×C₄	—	2	1	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
969	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
970	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
971	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
972	Q₁₆	—	2	4	no	—
973	SD₁₆	—	2	2	no	—
974	SD₁₆	—	2	4	no	—
975	SD₁₆	—	2	2	no	—
976	SD₁₆	—	4	2	no	—
977	SD₁₆	—	4	2	no	—
978	SD₁₆	—	4	2	no	—
979	D₈	—	4	1	no	—
980	D₈	—	4	2	no	—
981	D₈	—	4	1	no	—
982	D₈	—	4	2	no	—
983	D₈	—	4	2	no	—
984	D₈	—	4	2	no	—
985	D₈	—	4	2	no	—
986	M₁₆	—	4	2	no	—
987	C₂×C₈	—	4	2	no	—
988	C₂×C₈	—	4	2	no	—
989	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
990	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
991	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
992	C₂×C₈	C₂⁴×C₇	1	2	yes	—
993	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
994	C₂×C₈	C₂⁴×C₇	1	2	yes	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	1	no	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1008	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1009	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1010	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1011	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1012	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1013	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1014	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1015	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1016	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1017	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	—	2	1	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1038	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1039	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1040	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1041	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1042	C₄²	—	2	1	no	—
1043	C₄²	—	2	1	no	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	2	no	—
1046	C₄²	—	2	2	no	—
1047	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1048	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1049	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1050	C₄²	C₂⁴×C₇	1	2	yes	—
1051	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1052	C₂×C₇	—	4	1	no	—
1053	C₂×C₇	—	4	2	no	—
1054	C₂×C₇	—	8	1	no	—
1055	C₂×C₇	—	8	2	no	—
1056	C₂×C₇	—	8	1	no	—
1057	C₂×C₇	—	8	2	no	—
1058	C₂×C₇	—	8	1	no	—
1059	C₂×C₇	#3488	1	1	yes	characteristic
1060	C₂×C₇	C₂×#576	1	1	yes	characteristic
1061	C₂×C₇	#3584	1	1	yes	characteristic
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	2	no	—
1065	C₂³	—	2	2	no	—
1066	C₂³	—	2	1	no	—
1067	C₂³	—	8	2	no	—
1068	C₂³	—	8	2	no	—
1069	C₂³	—	8	2	no	—
1070	C₂³	C₂²×C₇×D₄	1	2	yes	—
1071	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1072	Q₈	—	2	1	no	—
1073	Q₈	—	2	2	no	—
1074	Q₈	—	2	2	no	—
1075	Q₈	—	2	2	no	—
1076	Q₈	—	4	2	no	—
1077	Q₈	—	8	1	no	—
1078	Q₈	C₇×H(5,𝔽₂)	1	2	yes	—
1079	D₄	—	2	2	no	—
1080	D₄	—	2	1	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	2	1	no	—
1084	D₄	—	2	1	no	—
1085	D₄	—	2	2	no	—
1086	D₄	—	2	1	no	—
1087	D₄	—	2	2	no	—
1088	D₄	—	2	1	no	—
1089	D₄	—	2	2	no	—
1090	D₄	—	4	2	no	—
1091	D₄	—	4	2	no	—
1092	D₄	—	4	4	no	—
1093	D₄	—	4	2	no	—
1094	D₄	—	4	2	no	—
1095	D₄	—	8	1	no	—
1096	D₄	—	8	1	no	—
1097	D₄	—	8	1	no	—
1098	D₄	—	8	2	no	—
1099	D₄	—	8	2	no	—
1100	D₄	—	8	2	no	—
1101	D₄	—	8	1	no	—
1102	D₄	—	8	2	no	—
1103	D₄	—	8	2	no	—
1104	D₄	—	8	2	no	—
1105	D₄	—	8	2	no	—
1106	D₄	—	8	2	no	—
1107	D₄	—	8	2	no	—
1108	D₄	—	8	1	no	—
1109	D₄	—	8	1	no	—
1110	D₄	—	8	2	no	—
1111	D₄	—	8	2	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	2	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	4	1	no	—
1125	C₂×C₄	—	4	2	no	—
1126	C₂×C₄	—	4	4	no	—
1127	C₂×C₄	—	4	2	no	—
1128	C₂×C₄	—	4	2	no	—
1129	C₂×C₄	—	4	2	no	—
1130	C₂×C₄	—	8	1	no	—
1131	C₂×C₄	—	8	2	no	—
1132	C₂×C₄	—	8	2	no	—
1133	C₂×C₄	—	8	2	no	—
1134	C₂×C₄	—	8	2	no	—
1135	C₂×C₄	—	8	2	no	—
1136	C₂×C₄	—	8	2	no	—
1137	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1138	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1139	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1140	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1141	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1142	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1143	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1144	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1145	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1146	C₈	—	2	2	no	—
1147	C₈	—	2	1	no	—
1148	C₈	—	2	2	no	—
1149	C₈	—	2	1	no	—
1150	C₈	—	2	1	no	—
1151	C₈	—	2	1	no	—
1152	C₇	#62074	1	1	yes	characteristic, direct product factor, Sylow
1153	C₂²	—	2	1	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	1	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	1	no	—
1158	C₂²	—	2	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	2	no	—
1167	C₂²	—	4	2	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	2	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	2	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	16	4	no	—
1175	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1176	C₄	—	2	1	no	—
1177	C₄	—	2	2	no	—
1178	C₄	—	2	1	no	—
1179	C₄	—	2	1	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	1	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	4	2	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	2	no	—
1190	C₄	C₇×#576	1	2	yes	—
1191	C₄	C₂×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1192	C₄	C₇×#585	1	1	yes	characteristic
1193	C₂	—	4	2	no	—
1194	C₂	—	4	1	no	—
1195	C₂	—	8	1	no	—
1196	C₂	—	8	2	no	—
1197	C₂	—	8	1	no	—
1198	C₂	—	8	1	no	—
1199	C₂	—	8	2	no	—
1200	C₂	C₇×#3488	1	1	yes	characteristic
1201	C₂	C₂×C₇×#576	1	1	yes	characteristic
1202	C₂	C₇×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3546	C₂	semidirect
2. C₇×#3517	C₂	semidirect
3. C₇×#3397	C₂	semidirect
4. C₇×#3391	C₂	semidirect
5. C₇×#3368	C₂	semidirect
6. C₇×#3364	C₂	semidirect
7. C₇×#3330	C₂	semidirect
8. C₇×#3309	C₂	semidirect
9. C₇×#3297	C₂	semidirect
10. C₇×#3294	C₂	semidirect
11. C₇×#3287	C₂	semidirect
12. C₇×#3284	C₂	semidirect
13. C₇×#3274	C₂	semidirect
14. C₇×#3268	C₂	semidirect
15. C₇×#3257	C₂	semidirect
16. C₇×#3245	C₂	semidirect
17. C₇×#3220	C₂	semidirect
18. C₇×#3207	C₂	semidirect
19. C₇×#3124	C₂	semidirect
20. C₇×#3106	C₂	semidirect
21. C₇×#3045	C₂	semidirect
22. C₇×#3035	C₂	semidirect
23. C₇×#2994	C₂	semidirect
25. C₂×C₇×#135	C₂²	semidirect
26. C₂×C₇×#135	C₂²	semidirect
28. C₇×#557	C₂²	semidirect
32. C₇×#553	C₂²	semidirect
37. C₇×#550	C₂²	semidirect
38. C₇×#550	C₂²	semidirect
47. C₇×#540	C₂²	semidirect
55. C₇×#532	C₂²	semidirect
58. C₇×#520	C₂²	semidirect
59. C₄×C₇×#41	C₂²	semidirect
62. C₇×#493	C₂²	semidirect
63. C₇×#492	C₂²	semidirect
64. C₇×#490	C₂²	semidirect
66. C₇×#487	C₂²	semidirect
68. C₇×#484	C₂²	semidirect
70. C₇×#482	C₂²	semidirect
72. C₇×#479	C₂²	semidirect
73. C₇×#478	C₂²	semidirect
74. C₇×#477	C₂²	semidirect
75. C₇×#476	C₂²	semidirect
77. C₇×#474	C₂²	semidirect
78. C₇×#474	C₂²	semidirect
80. C₇×#468	C₂²	semidirect
83. C₇×#466	C₂²	semidirect
84. C₇×#465	C₂²	semidirect
86. C₇×#464	C₂²	semidirect
88. C₇×#463	C₂²	semidirect
89. C₇×#463	C₂²	semidirect
90. C₇×#463	C₂²	semidirect
91. C₇×#462	C₂²	semidirect
92. C₇×#461	C₂²	semidirect
95. C₇×#460	C₂²	semidirect
96. C₇×#460	C₂²	semidirect
101. C₇×#459	C₂²	semidirect
102. C₇×#459	C₂²	semidirect
103. C₇×#459	C₂²	semidirect
104. C₇×#452	C₂²	semidirect
107. C₇×#449	C₂²	semidirect
108. C₇×#449	C₂²	semidirect
109. C₇×#449	C₂²	semidirect
110. C₇×#449	C₂²	semidirect
111. C₇×#449	C₂²	semidirect
114. C₇×#446	C₂²	semidirect
115. C₇×C₈×Q₈	C₂²	semidirect
116. C₇×#440	C₂²	semidirect
117. C₇×#440	C₂²	semidirect
118. C₄×C₇×Q₁₆	C₂²	semidirect
120. C₄×C₇×SD₁₆	C₂²	semidirect
122. C₄×C₇×D₈	C₂²	semidirect
123. C₄×C₇×D₈	C₂²	semidirect
125. C₇×#435	C₂²	semidirect
127. C₇×C₈×D₄	C₂²	semidirect
128. C₇×#433	C₂²	semidirect
129. C₇×#431	C₂²	semidirect
130. C₇×#424	C₂²	semidirect
131. C₂×C₇×C₄⋊C₈	C₂²	semidirect
132. C₇×#417	C₂²	semidirect
133. C₇×#416	C₂²	semidirect
135. #62074	C₇	direct (N × H)
316. #3546	C₂×C₇	semidirect
317. #3517	C₂×C₇	semidirect
318. #3397	C₂×C₇	semidirect
319. #3391	C₂×C₇	semidirect
320. #3368	C₂×C₇	semidirect
321. #3364	C₂×C₇	semidirect
322. #3330	C₂×C₇	semidirect
323. #3309	C₂×C₇	semidirect
324. #3297	C₂×C₇	semidirect
325. #3294	C₂×C₇	semidirect
326. #3287	C₂×C₇	semidirect
327. #3284	C₂×C₇	semidirect
328. #3274	C₂×C₇	semidirect
329. #3268	C₂×C₇	semidirect
330. #3257	C₂×C₇	semidirect
331. #3245	C₂×C₇	semidirect
332. #3220	C₂×C₇	semidirect
333. #3207	C₂×C₇	semidirect
334. #3124	C₂×C₇	semidirect
335. #3106	C₂×C₇	semidirect
336. #3045	C₂×C₇	semidirect
337. #3035	C₂×C₇	semidirect
338. #2994	C₂×C₇	semidirect
486. C₂×#135	C₂²×C₇	semidirect
487. C₂×#135	C₂²×C₇	semidirect
489. #557	C₂²×C₇	semidirect
493. #553	C₂²×C₇	semidirect
498. #550	C₂²×C₇	semidirect
499. #550	C₂²×C₇	semidirect
508. #540	C₂²×C₇	semidirect
516. #532	C₂²×C₇	semidirect
519. #520	C₂²×C₇	semidirect
520. C₄×#41	C₂²×C₇	semidirect
523. #493	C₂²×C₇	semidirect
524. #492	C₂²×C₇	semidirect
525. #490	C₂²×C₇	semidirect
527. #487	C₂²×C₇	semidirect
529. #484	C₂²×C₇	semidirect
531. #482	C₂²×C₇	semidirect
533. #479	C₂²×C₇	semidirect
534. #478	C₂²×C₇	semidirect
535. #477	C₂²×C₇	semidirect
536. #476	C₂²×C₇	semidirect
538. #474	C₂²×C₇	semidirect
539. #474	C₂²×C₇	semidirect
541. #468	C₂²×C₇	semidirect
544. #466	C₂²×C₇	semidirect
545. #465	C₂²×C₇	semidirect
547. #464	C₂²×C₇	semidirect
549. #463	C₂²×C₇	semidirect
550. #463	C₂²×C₇	semidirect
551. #463	C₂²×C₇	semidirect
552. #462	C₂²×C₇	semidirect
553. #461	C₂²×C₇	semidirect
556. #460	C₂²×C₇	semidirect
557. #460	C₂²×C₇	semidirect
562. #459	C₂²×C₇	semidirect
563. #459	C₂²×C₇	semidirect
564. #459	C₂²×C₇	semidirect
565. #452	C₂²×C₇	semidirect
568. #449	C₂²×C₇	semidirect
569. #449	C₂²×C₇	semidirect
570. #449	C₂²×C₇	semidirect
571. #449	C₂²×C₇	semidirect
572. #449	C₂²×C₇	semidirect
575. #446	C₂²×C₇	semidirect
576. C₈×Q₈	C₂²×C₇	semidirect
577. #440	C₂²×C₇	semidirect
578. #440	C₂²×C₇	semidirect
579. C₄×Q₁₆	C₂²×C₇	semidirect
581. C₄×SD₁₆	C₂²×C₇	semidirect
583. C₄×D₈	C₂²×C₇	semidirect
584. C₄×D₈	C₂²×C₇	semidirect
586. #435	C₂²×C₇	semidirect
588. C₈×D₄	C₂²×C₇	semidirect
589. #433	C₂²×C₇	semidirect
590. #431	C₂²×C₇	semidirect
591. #424	C₂²×C₇	semidirect
592. C₂×C₄⋊C₈	C₂²×C₇	semidirect
593. #417	C₂²×C₇	semidirect
594. #416	C₂²×C₇	semidirect
1152. C₇	#62074	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#3546	2
C₇×#3517	2
C₇×#3397	2
C₇×#3391	2
C₇×#3368	2
C₇×#3364	2
C₇×#3330	2
C₇×#3309	2
C₇×#3297	2
C₇×#3294	2
C₇×#3287	2
C₇×#3284	2
C₇×#3274	2
C₇×#3268	2
C₇×#3257	2
C₇×#3245	2
C₇×#3220	2
C₇×#3207	2
C₇×#3124	2
C₇×#3106	2
C₇×#3045	2
C₇×#3035	2
C₇×#2994	2
#62074	7

Subgroups — C7×#62074 #13239290

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62074 #13239290