Subgroups — C₇×#61863 #13239079

Order 1792.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1120 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3389	C₂	1	2	yes	maximal, complemented
4	C₇×#3386	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3384	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3381	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3380	C₂	1	2	yes	maximal, complemented
8	C₇×Q₈×D₈	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3373	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3370	C₂	1	2	yes	maximal, complemented
11	C₇×#3366	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3361	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3361	C₂	1	2	yes	maximal, complemented
14	C₇×#3358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3243	C₂	1	2	yes	maximal, complemented
16	C₇×#3241	C₂	1	2	yes	maximal, complemented
17	C₇×#3233	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3228	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3122	C₂	1	2	yes	maximal, complemented
20	C₇×#3118	C₂	1	2	yes	maximal, complemented
21	C₇×#3105	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#2986	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#562	—	2	2	no	—
25	C₇×#559	C₂²	1	2	yes	complemented
26	C₇×#559	C₂²	1	1	yes	characteristic, complemented
27	C₇×#557	C₂²	1	1	yes	characteristic, complemented
28	C₇×#554	—	2	1	no	—
29	C₇×#554	—	2	2	no	—
30	C₇×#554	C₂²	1	1	yes	characteristic
31	C₇×#554	C₂²	1	2	yes	—
32	C₇×#554	C₂²	1	1	yes	characteristic
33	C₇×#554	C₂²	1	2	yes	—
34	C₇×#554	C₂²	1	2	yes	complemented
35	C₇×#550	C₂²	1	1	yes	characteristic, complemented
36	C₇×D₄×Q₈	—	2	1	no	—
37	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
38	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
39	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₇×#548	—	2	1	no	—
41	C₇×#547	—	2	1	no	—
42	C₇×#544	C₂²	1	2	yes	—
43	C₇×#543	—	2	2	no	—
44	C₇×#542	—	2	1	no	—
45	C₇×#542	C₂²	1	2	yes	—
46	C₇×#540	C₂²	1	2	yes	—
47	C₇×#539	—	2	2	no	—
48	C₇×#536	—	2	1	no	—
49	C₇×#533	C₂²	1	1	yes	characteristic
50	C₇×#533	C₂²	1	1	yes	characteristic
51	C₇×#532	C₂²	1	1	yes	characteristic
52	C₇×#529	C₂²	1	1	yes	characteristic
53	C₂×C₇×C₂²⋊Q₈	—	2	1	no	—
54	C₂×C₇×C₂²⋊Q₈	—	2	1	no	—
55	C₇×#518	C₂²	1	2	yes	—
56	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
57	C₇×#501	C₂²	1	2	yes	complemented
58	C₇×#501	C₂²	1	2	yes	complemented
59	C₇×#500	C₂²	1	1	yes	characteristic, complemented
60	C₇×#500	C₂²	1	2	yes	complemented
61	C₇×#499	C₂²	1	2	yes	complemented
62	C₇×#499	C₂²	1	2	yes	complemented
63	C₇×#498	C₂²	1	1	yes	characteristic, complemented
64	C₇×#490	C₂²	1	2	yes	complemented
65	C₇×#489	C₂²	1	2	yes	complemented
66	C₇×#488	C₂²	1	2	yes	complemented
67	C₇×#488	C₂²	1	2	yes	complemented
68	C₇×#486	C₂²	1	1	yes	characteristic, complemented
69	C₇×#486	C₂²	1	1	yes	characteristic, complemented
70	C₇×#486	C₂²	1	2	yes	complemented
71	C₇×#485	C₂²	1	2	yes	—
72	C₇×#484	C₂²	1	1	yes	characteristic
73	C₇×#482	C₂²	1	2	yes	—
74	C₇×#482	C₂²	1	2	yes	—
75	C₇×#482	C₂²	1	2	yes	—
76	C₇×#481	C₂²	1	1	yes	characteristic
77	C₇×#480	C₂²	1	2	yes	—
78	C₇×#479	C₂²	1	2	yes	complemented
79	C₇×#478	C₂²	1	1	yes	characteristic
80	C₇×#478	C₂²	1	1	yes	characteristic
81	C₇×#478	C₂²	1	2	yes	—
82	C₇×#478	C₂²	1	2	yes	—
83	C₇×#478	C₂²	1	2	yes	complemented
84	C₇×#478	C₂²	1	2	yes	complemented
85	C₇×#478	C₂²	1	2	yes	complemented
86	C₇×#478	C₂²	1	2	yes	complemented
87	C₇×#478	C₂²	1	2	yes	complemented
88	C₇×#477	C₂²	1	1	yes	characteristic, complemented
89	C₇×#477	C₂²	1	2	yes	complemented
90	C₇×#476	C₂²	1	2	yes	—
91	C₇×#476	C₂²	1	1	yes	characteristic, complemented
92	C₇×#476	C₂²	1	2	yes	complemented
93	C₇×#475	C₂²	1	1	yes	characteristic, complemented
94	C₇×#474	C₂²	1	1	yes	characteristic
95	C₇×#474	C₂²	1	1	yes	characteristic
96	C₇×#474	C₂²	1	2	yes	—
97	C₇×#474	C₂²	1	1	yes	characteristic, complemented
98	C₇×#474	C₂²	1	2	yes	complemented
99	C₇×#474	C₂²	1	2	yes	complemented
100	C₇×#463	C₂²	1	1	yes	characteristic
101	C₇×#463	C₂²	1	1	yes	characteristic
102	C₇×#463	C₂²	1	2	yes	—
103	C₇×#463	C₂²	1	2	yes	—
104	C₇×#459	C₂²	1	1	yes	characteristic
105	C₇×#459	C₂²	1	1	yes	characteristic
106	C₇×#459	C₂²	1	2	yes	—
107	C₇×#459	C₂²	1	2	yes	—
108	C₇×#450	C₂²	1	1	yes	characteristic
109	C₇×#447	C₂²	1	2	yes	—
110	C₇×#447	C₂²	1	1	yes	characteristic
111	C₇×#446	C₂²	1	1	yes	characteristic, complemented
112	C₇×#446	C₂²	1	2	yes	complemented
113	C₇×#446	C₂²	1	1	yes	characteristic, complemented
114	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
115	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
116	C₇×C₈×Q₈	C₂²	1	2	yes	complemented
117	C₇×#442	C₂²	1	2	yes	—
118	C₇×#442	C₂²	1	2	yes	—
119	C₇×#442	C₂²	1	2	yes	—
120	C₇×#440	C₂²	1	2	yes	—
121	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
122	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
124	C₄×C₇×D₈	C₂²	1	2	yes	—
125	C₄×C₇×D₈	C₂²	1	2	yes	—
126	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
127	C₄×C₇×D₈	C₂²	1	2	yes	—
128	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
129	C₄×C₇×D₈	C₂²	1	2	yes	—
130	C₄×C₇×D₈	C₂²	1	2	yes	—
131	C₇×#433	C₂²	1	2	yes	—
132	C₇×#433	C₂²	1	2	yes	—
133	C₇×#431	C₂²	1	1	yes	characteristic
134	C₇×#431	C₂²	1	1	yes	characteristic
135	#61863	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	C₂²×C₇×Q₈	—	2	1	no	—
139	C₂²×C₇×Q₈	—	2	1	no	—
140	C₂²×C₇×Q₈	—	2	1	no	—
141	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇	—	2	1	no	—
143	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₇×D₈	C₂³	1	2	yes	—
146	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
147	C₂×C₇×D₈	C₂³	1	2	yes	—
148	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
149	C₇×C₄⋊Q₈	—	2	1	no	—
150	C₇×C₄⋊Q₈	—	2	2	no	—
151	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
152	C₇×C₄⋊Q₈	D₄	1	1	yes	characteristic
153	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
154	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
156	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₇×#127	C₂³	1	1	yes	characteristic
160	C₇×#127	C₂³	1	2	yes	—
161	C₇×#126	—	2	2	no	—
162	C₇×#126	—	2	1	no	—
163	C₇×#125	—	2	2	no	—
164	C₇×#125	—	2	2	no	—
165	C₇×#125	D₄	1	2	yes	—
166	C₇×#125	C₂³	1	1	yes	characteristic
167	C₇×#125	C₂³	1	2	yes	—
168	C₇×#125	C₂³	1	2	yes	—
169	C₇×#125	C₂³	1	2	yes	—
170	C₇×#125	C₂³	1	2	yes	—
171	C₇×#124	—	2	1	no	—
172	C₇×#124	—	2	2	no	—
173	C₇×#124	—	2	2	no	—
174	C₇×#124	—	2	1	no	—
175	C₇×#124	C₂³	1	1	yes	characteristic
176	C₇×#124	C₂³	1	2	yes	—
177	C₇×#123	—	2	1	no	—
178	C₇×#123	—	2	2	no	—
179	C₇×#123	—	2	2	no	—
180	C₇×#123	—	2	2	no	—
181	C₇×#123	—	2	2	no	—
182	C₇×#123	—	2	2	no	—
183	C₇×#123	—	2	2	no	—
184	C₇×C₂²⋊Q₈	—	2	1	no	—
185	C₇×C₂²⋊Q₈	—	2	1	no	—
186	C₇×C₂²⋊Q₈	—	2	2	no	—
187	C₇×C₂²⋊Q₈	—	2	2	no	—
188	C₇×C₂²⋊Q₈	—	2	2	no	—
189	C₇×C₂²⋊Q₈	—	2	1	no	—
190	C₇×C₂²⋊Q₈	—	2	1	no	—
191	C₇×C₂²⋊Q₈	—	2	1	no	—
192	C₇×C₂²⋊Q₈	—	2	1	no	—
193	C₇×C₂²⋊Q₈	—	2	2	no	—
194	C₇×C₂²⋊Q₈	—	2	2	no	—
195	C₇×C₂²⋊Q₈	—	2	2	no	—
196	C₇×C₂²⋊Q₈	—	2	2	no	—
197	C₇×C₂²⋊Q₈	—	2	2	no	—
198	C₇×C₂²⋊Q₈	—	2	2	no	—
199	C₇×C₂²⋊Q₈	—	2	1	no	—
200	C₇×C₂²⋊Q₈	—	2	2	no	—
201	C₇×C₂²⋊Q₈	—	2	2	no	—
202	C₇×C₂²⋊Q₈	—	2	2	no	—
203	C₇×C₂²⋊Q₈	—	2	2	no	—
204	C₇×C₂²⋊Q₈	—	2	2	no	—
205	C₇×C₂²⋊Q₈	—	2	2	no	—
206	C₇×C₂²⋊Q₈	—	2	2	no	—
207	C₇×C₂²⋊Q₈	—	2	2	no	—
208	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
209	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
210	C₇×C₂²⋊Q₈	D₄	1	2	yes	—
211	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×#121	—	2	1	no	—
213	C₇×#121	—	2	2	no	—
214	C₇×#121	—	2	1	no	—
215	C₇×#121	—	2	2	no	—
216	C₇×#121	—	2	2	no	—
217	C₇×#121	C₂³	1	2	yes	—
218	C₇×#121	C₂³	1	1	yes	characteristic
219	C₄×C₇×Q₈	—	2	1	no	—
220	C₄×C₇×Q₈	—	2	1	no	—
221	C₄×C₇×Q₈	—	2	1	no	—
222	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₇×Q₈	C₂³	1	2	yes	—
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₇×Q₈	C₂³	1	2	yes	—
227	C₄×C₇×D₄	—	2	1	no	—
228	C₄×C₇×D₄	—	2	2	no	—
229	C₄×C₇×D₄	—	2	2	no	—
230	C₄×C₇×D₄	—	2	2	no	—
231	C₄×C₇×D₄	—	2	1	no	—
232	C₄×C₇×D₄	—	2	1	no	—
233	C₄×C₇×D₄	—	2	1	no	—
234	C₄×C₇×D₄	—	2	1	no	—
235	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₇×D₄	C₂³	1	2	yes	—
238	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
239	C₄×C₇×D₄	C₂³	1	2	yes	—
240	C₄×C₇×D₄	C₂³	1	2	yes	—
241	C₄×C₇×D₄	C₂³	1	2	yes	—
242	C₄×C₇×D₄	C₂³	1	2	yes	—
243	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
244	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
245	C₄×C₇×D₄	C₂³	1	2	yes	—
246	C₄×C₇×D₄	C₂³	1	2	yes	—
247	C₄×C₇×D₄	C₂³	1	2	yes	—
248	C₇×#117	—	2	1	no	—
249	C₇×#117	C₂³	1	2	yes	—
250	C₇×#117	C₂³	1	2	yes	—
251	C₂×C₇×C₄⋊C₄	—	2	2	no	—
252	C₂×C₇×C₄⋊C₄	—	2	2	no	—
253	C₂×C₇×C₄⋊C₄	—	2	1	no	—
254	C₂×C₇×C₄⋊C₄	—	2	1	no	—
255	C₂×C₇×C₄⋊C₄	—	2	2	no	—
256	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
258	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
260	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
261	C₇×#107	C₂³	1	2	yes	—
262	C₇×#107	C₂³	1	2	yes	—
263	C₇×#107	C₂³	1	2	yes	—
264	C₇×#107	C₂³	1	2	yes	—
265	C₇×#107	C₂³	1	1	yes	characteristic
266	C₇×#107	C₂³	1	2	yes	—
267	C₇×#107	C₂³	1	2	yes	—
268	C₇×#107	C₂³	1	1	yes	characteristic
269	C₇×#106	C₂³	1	2	yes	—
270	C₇×#106	C₂³	1	2	yes	—
271	C₇×#106	C₂³	1	2	yes	—
272	C₇×#106	C₂³	1	1	yes	characteristic
273	C₇×#106	C₂³	1	1	yes	characteristic
274	C₇×#106	C₂³	1	2	yes	—
275	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₇×C₄⋊C₈	C₂³	1	2	yes	—
277	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₇×C₄⋊C₈	C₂³	1	2	yes	—
279	C₇×C₄⋊C₈	C₂³	1	2	yes	—
280	C₇×C₄⋊C₈	C₂³	1	2	yes	—
281	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₇×#103	C₂³	1	2	yes	—
284	C₇×#103	C₂³	1	1	yes	characteristic
285	C₇×#103	C₂³	1	2	yes	—
286	C₇×#103	C₂³	1	1	yes	characteristic
287	C₇×#102	C₂³	1	2	yes	—
288	C₇×#102	C₂³	1	1	yes	characteristic
289	C₇×#102	C₂³	1	2	yes	—
290	C₇×#102	C₂³	1	1	yes	characteristic
291	C₇×#102	C₂³	1	2	yes	—
292	C₇×#102	C₂³	1	2	yes	—
293	C₇×#102	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	1	yes	characteristic
299	C₇×#102	C₂³	1	1	yes	characteristic
300	C₇×#102	C₂³	1	1	yes	characteristic
301	C₇×#102	C₂³	1	2	yes	—
302	C₇×#102	C₂³	1	2	yes	—
303	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₇×#97	C₂³	1	2	yes	—
307	C₇×#97	C₂³	1	2	yes	—
308	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
309	C₄×C₇×C₈	C₂³	1	2	yes	—
310	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
311	C₄×C₇×C₈	C₂³	1	2	yes	—
312	C₄×C₇×C₈	C₂³	1	2	yes	—
313	#3554	C₂×C₇	1	1	yes	characteristic, complemented
314	#3501	C₂×C₇	1	1	yes	characteristic, complemented
315	#3389	C₂×C₇	1	2	yes	complemented
316	#3386	C₂×C₇	1	1	yes	characteristic, complemented
317	#3384	C₂×C₇	1	1	yes	characteristic, complemented
318	#3381	C₂×C₇	1	1	yes	characteristic, complemented
319	#3380	C₂×C₇	1	2	yes	complemented
320	Q₈×D₈	C₂×C₇	1	1	yes	characteristic, complemented
321	#3373	C₂×C₇	1	1	yes	characteristic, complemented
322	#3370	C₂×C₇	1	2	yes	complemented
323	#3366	C₂×C₇	1	1	yes	characteristic, complemented
324	#3361	C₂×C₇	1	1	yes	characteristic, complemented
325	#3361	C₂×C₇	1	2	yes	complemented
326	#3358	C₂×C₇	1	1	yes	characteristic, complemented
327	#3243	C₂×C₇	1	2	yes	complemented
328	#3241	C₂×C₇	1	2	yes	complemented
329	#3233	C₂×C₇	1	1	yes	characteristic, complemented
330	#3228	C₂×C₇	1	1	yes	characteristic, complemented
331	#3122	C₂×C₇	1	2	yes	complemented
332	#3118	C₂×C₇	1	2	yes	complemented
333	#3105	C₂×C₇	1	1	yes	characteristic, complemented
334	#3100	C₂×C₇	1	1	yes	characteristic, complemented
335	#2986	C₂×C₇	1	1	yes	characteristic, complemented
336	C₂⁴×C₇	—	2	1	no	—
337	C₇×#41	—	8	2	no	—
338	C₇×#41	—	8	2	no	—
339	C₂×C₇×Q₈	—	2	1	no	—
340	C₂×C₇×Q₈	—	2	1	no	—
341	C₂×C₇×Q₈	—	2	1	no	—
342	C₂×C₇×Q₈	—	2	2	no	—
343	C₂×C₇×Q₈	—	2	2	no	—
344	C₂×C₇×Q₈	—	2	2	no	—
345	C₂×C₇×Q₈	—	8	2	no	—
346	C₂×C₇×Q₈	—	8	2	no	—
347	C₂×C₇×Q₈	—	8	2	no	—
348	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
349	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
350	C₂×C₇×Q₈	C₂×D₄	1	2	yes	—
351	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
352	C₂×C₇×D₄	—	2	2	no	—
353	C₂×C₇×D₄	—	2	2	no	—
354	C₂×C₇×D₄	—	2	1	no	—
355	C₂×C₇×D₄	—	2	2	no	—
356	C₂×C₇×D₄	—	2	1	no	—
357	C₂×C₇×D₄	—	2	1	no	—
358	C₂×C₇×D₄	—	2	1	no	—
359	C₂×C₇×D₄	—	2	2	no	—
360	C₂×C₇×D₄	—	2	2	no	—
361	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
362	C₂×C₇×D₄	C₂⁴	1	2	yes	—
363	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
364	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₇	—	2	1	no	—
366	C₂²×C₄×C₇	—	2	1	no	—
367	C₂²×C₄×C₇	—	2	1	no	—
368	C₂²×C₄×C₇	—	2	1	no	—
369	C₂²×C₄×C₇	—	2	2	no	—
370	C₂²×C₄×C₇	—	2	2	no	—
371	C₂²×C₄×C₇	—	2	2	no	—
372	C₂²×C₄×C₇	—	2	2	no	—
373	C₂²×C₄×C₇	—	2	1	no	—
374	C₂²×C₄×C₇	—	2	1	no	—
375	C₂²×C₄×C₇	—	2	2	no	—
376	C₂²×C₄×C₇	—	2	2	no	—
377	C₂²×C₄×C₇	—	2	2	no	—
378	C₂²×C₄×C₇	—	2	2	no	—
379	C₂²×C₄×C₇	—	8	2	no	—
380	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
381	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
383	C₇×SD₁₆	—	2	2	no	—
384	C₇×SD₁₆	—	2	2	no	—
385	C₇×D₈	—	2	4	no	—
386	C₇×D₈	—	2	2	no	—
387	C₇×D₈	—	2	4	no	—
388	C₇×D₈	—	2	2	no	—
389	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
390	C₂×C₇×C₈	C₂⁴	1	2	yes	—
391	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
392	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
393	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
394	C₂×C₇×C₈	C₂⁴	1	2	yes	—
395	C₇×C₄⋊C₄	—	2	1	no	—
396	C₇×C₄⋊C₄	—	2	2	no	—
397	C₇×C₄⋊C₄	—	2	1	no	—
398	C₇×C₄⋊C₄	—	2	2	no	—
399	C₇×C₄⋊C₄	—	2	2	no	—
400	C₇×C₄⋊C₄	—	2	2	no	—
401	C₇×C₄⋊C₄	—	2	2	no	—
402	C₇×C₄⋊C₄	—	2	2	no	—
403	C₇×C₄⋊C₄	—	2	2	no	—
404	C₇×C₄⋊C₄	—	2	2	no	—
405	C₇×C₄⋊C₄	—	2	2	no	—
406	C₇×C₄⋊C₄	—	2	1	no	—
407	C₇×C₄⋊C₄	—	2	1	no	—
408	C₇×C₄⋊C₄	—	2	1	no	—
409	C₇×C₄⋊C₄	—	2	1	no	—
410	C₇×C₄⋊C₄	—	2	2	no	—
411	C₇×C₄⋊C₄	—	2	2	no	—
412	C₇×C₄⋊C₄	—	2	1	no	—
413	C₇×C₄⋊C₄	—	2	2	no	—
414	C₇×C₄⋊C₄	—	2	1	no	—
415	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
419	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
420	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
421	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
423	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
424	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
425	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
426	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
427	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
428	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
429	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
430	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
431	C₇×C₂²⋊C₄	—	2	2	no	—
432	C₇×C₂²⋊C₄	—	2	1	no	—
433	C₇×C₂²⋊C₄	—	2	2	no	—
434	C₇×C₂²⋊C₄	—	2	2	no	—
435	C₇×C₂²⋊C₄	—	2	2	no	—
436	C₇×C₂²⋊C₄	—	2	2	no	—
437	C₇×C₂²⋊C₄	—	2	1	no	—
438	C₇×C₂²⋊C₄	—	2	1	no	—
439	C₇×C₂²⋊C₄	—	2	1	no	—
440	C₇×C₂²⋊C₄	—	2	1	no	—
441	C₇×C₂²⋊C₄	—	2	1	no	—
442	C₇×C₂²⋊C₄	—	2	1	no	—
443	C₇×C₂²⋊C₄	—	2	1	no	—
444	C₇×C₂²⋊C₄	—	2	2	no	—
445	C₇×C₂²⋊C₄	—	2	2	no	—
446	C₇×C₂²⋊C₄	—	2	2	no	—
447	C₇×C₂²⋊C₄	—	2	1	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	2	no	—
450	C₇×C₂²⋊C₄	—	2	2	no	—
451	C₇×C₂²⋊C₄	—	2	2	no	—
452	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
453	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
454	C₄²×C₇	—	2	1	no	—
455	C₄²×C₇	—	2	2	no	—
456	C₄²×C₇	—	2	2	no	—
457	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
459	C₄²×C₇	C₂⁴	1	1	yes	characteristic
460	C₄²×C₇	C₂⁴	1	1	yes	characteristic
461	C₄²×C₇	C₂⁴	1	2	yes	—
462	C₄²×C₇	C₂⁴	1	2	yes	—
463	#562	—	2	2	no	—
464	#559	C₂²×C₇	1	2	yes	complemented
465	#559	C₂²×C₇	1	1	yes	characteristic, complemented
466	#557	C₂²×C₇	1	1	yes	characteristic, complemented
467	#554	—	2	1	no	—
468	#554	—	2	2	no	—
469	#554	C₂²×C₇	1	1	yes	characteristic
470	#554	C₂²×C₇	1	2	yes	—
471	#554	C₂²×C₇	1	1	yes	characteristic
472	#554	C₂²×C₇	1	2	yes	—
473	#554	C₂²×C₇	1	2	yes	complemented
474	#550	C₂²×C₇	1	1	yes	characteristic, complemented
475	D₄×Q₈	—	2	1	no	—
476	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
477	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic
478	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
479	#548	—	2	1	no	—
480	#547	—	2	1	no	—
481	#544	C₂²×C₇	1	2	yes	—
482	#543	—	2	2	no	—
483	#542	—	2	1	no	—
484	#542	C₂²×C₇	1	2	yes	—
485	#540	C₂²×C₇	1	2	yes	—
486	#539	—	2	2	no	—
487	#536	—	2	1	no	—
488	#533	C₂²×C₇	1	1	yes	characteristic
489	#533	C₂²×C₇	1	1	yes	characteristic
490	#532	C₂²×C₇	1	1	yes	characteristic
491	#529	C₂²×C₇	1	1	yes	characteristic
492	C₂×C₂²⋊Q₈	—	2	1	no	—
493	C₂×C₂²⋊Q₈	—	2	1	no	—
494	#518	C₂²×C₇	1	2	yes	—
495	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
496	#501	C₂²×C₇	1	2	yes	complemented
497	#501	C₂²×C₇	1	2	yes	complemented
498	#500	C₂²×C₇	1	2	yes	complemented
499	#500	C₂²×C₇	1	1	yes	characteristic, complemented
500	#499	C₂²×C₇	1	2	yes	complemented
501	#499	C₂²×C₇	1	2	yes	complemented
502	#498	C₂²×C₇	1	1	yes	characteristic, complemented
503	#490	C₂²×C₇	1	2	yes	complemented
504	#489	C₂²×C₇	1	2	yes	complemented
505	#488	C₂²×C₇	1	2	yes	complemented
506	#488	C₂²×C₇	1	2	yes	complemented
507	#486	C₂²×C₇	1	2	yes	complemented
508	#486	C₂²×C₇	1	1	yes	characteristic, complemented
509	#486	C₂²×C₇	1	1	yes	characteristic, complemented
510	#485	C₂²×C₇	1	2	yes	—
511	#484	C₂²×C₇	1	1	yes	characteristic
512	#482	C₂²×C₇	1	2	yes	—
513	#482	C₂²×C₇	1	2	yes	—
514	#482	C₂²×C₇	1	2	yes	—
515	#481	C₂²×C₇	1	1	yes	characteristic
516	#480	C₂²×C₇	1	2	yes	—
517	#479	C₂²×C₇	1	2	yes	complemented
518	#478	C₂²×C₇	1	1	yes	characteristic
519	#478	C₂²×C₇	1	1	yes	characteristic
520	#478	C₂²×C₇	1	2	yes	—
521	#478	C₂²×C₇	1	2	yes	—
522	#478	C₂²×C₇	1	2	yes	complemented
523	#478	C₂²×C₇	1	2	yes	complemented
524	#478	C₂²×C₇	1	2	yes	complemented
525	#478	C₂²×C₇	1	2	yes	complemented
526	#478	C₂²×C₇	1	2	yes	complemented
527	#477	C₂²×C₇	1	1	yes	characteristic, complemented
528	#477	C₂²×C₇	1	2	yes	complemented
529	#476	C₂²×C₇	1	2	yes	—
530	#476	C₂²×C₇	1	1	yes	characteristic, complemented
531	#476	C₂²×C₇	1	2	yes	complemented
532	#475	C₂²×C₇	1	1	yes	characteristic, complemented
533	#474	C₂²×C₇	1	1	yes	characteristic
534	#474	C₂²×C₇	1	1	yes	characteristic
535	#474	C₂²×C₇	1	2	yes	—
536	#474	C₂²×C₇	1	1	yes	characteristic, complemented
537	#474	C₂²×C₇	1	2	yes	complemented
538	#474	C₂²×C₇	1	2	yes	complemented
539	#463	C₂²×C₇	1	1	yes	characteristic
540	#463	C₂²×C₇	1	1	yes	characteristic
541	#463	C₂²×C₇	1	2	yes	—
542	#463	C₂²×C₇	1	2	yes	—
543	#459	C₂²×C₇	1	1	yes	characteristic
544	#459	C₂²×C₇	1	1	yes	characteristic
545	#459	C₂²×C₇	1	2	yes	—
546	#459	C₂²×C₇	1	2	yes	—
547	#450	C₂²×C₇	1	1	yes	characteristic
548	#447	C₂²×C₇	1	2	yes	—
549	#447	C₂²×C₇	1	1	yes	characteristic
550	#446	C₂²×C₇	1	1	yes	characteristic, complemented
551	#446	C₂²×C₇	1	2	yes	complemented
552	#446	C₂²×C₇	1	1	yes	characteristic, complemented
553	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
554	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
555	C₈×Q₈	C₂²×C₇	1	2	yes	complemented
556	#442	C₂²×C₇	1	2	yes	—
557	#442	C₂²×C₇	1	2	yes	—
558	#442	C₂²×C₇	1	2	yes	—
559	#440	C₂²×C₇	1	2	yes	—
560	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
561	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
562	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
563	C₄×D₈	C₂²×C₇	1	2	yes	—
564	C₄×D₈	C₂²×C₇	1	2	yes	—
565	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
566	C₄×D₈	C₂²×C₇	1	2	yes	—
567	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
568	C₄×D₈	C₂²×C₇	1	2	yes	—
569	C₄×D₈	C₂²×C₇	1	2	yes	—
570	#433	C₂²×C₇	1	2	yes	—
571	#433	C₂²×C₇	1	2	yes	—
572	#431	C₂²×C₇	1	1	yes	characteristic
573	#431	C₂²×C₇	1	1	yes	characteristic
574	C₂³×C₇	—	2	4	no	—
575	C₂³×C₇	—	2	1	no	—
576	C₂³×C₇	—	2	1	no	—
577	C₂³×C₇	—	2	2	no	—
578	C₂³×C₇	—	2	1	no	—
579	C₂³×C₇	—	8	1	no	—
580	C₂³×C₇	—	8	1	no	—
581	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
582	C₇×Q₈	—	2	2	no	—
583	C₇×Q₈	—	2	2	no	—
584	C₇×Q₈	—	2	1	no	—
585	C₇×Q₈	—	2	1	no	—
586	C₇×Q₈	—	4	2	no	—
587	C₇×Q₈	—	4	2	no	—
588	C₇×Q₈	—	4	2	no	—
589	C₇×Q₈	—	8	1	no	—
590	C₇×Q₈	—	8	2	no	—
591	C₇×Q₈	—	8	2	no	—
592	C₇×Q₈	—	8	2	no	—
593	C₇×D₄	—	2	4	no	—
594	C₇×D₄	—	2	1	no	—
595	C₇×D₄	—	2	1	no	—
596	C₇×D₄	—	2	1	no	—
597	C₇×D₄	—	2	2	no	—
598	C₇×D₄	—	2	1	no	—
599	C₇×D₄	—	2	2	no	—
600	C₇×D₄	—	4	2	no	—
601	C₇×D₄	—	8	1	no	—
602	C₇×D₄	—	8	2	no	—
603	C₇×D₄	—	8	2	no	—
604	C₇×D₄	—	8	1	no	—
605	C₇×D₄	—	8	2	no	—
606	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
607	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
608	C₂×C₄×C₇	—	2	2	no	—
609	C₂×C₄×C₇	—	2	1	no	—
610	C₂×C₄×C₇	—	2	1	no	—
611	C₂×C₄×C₇	—	2	1	no	—
612	C₂×C₄×C₇	—	2	1	no	—
613	C₂×C₄×C₇	—	2	2	no	—
614	C₂×C₄×C₇	—	2	2	no	—
615	C₂×C₄×C₇	—	2	2	no	—
616	C₂×C₄×C₇	—	2	1	no	—
617	C₂×C₄×C₇	—	2	1	no	—
618	C₂×C₄×C₇	—	2	1	no	—
619	C₂×C₄×C₇	—	4	1	no	—
620	C₂×C₄×C₇	—	4	2	no	—
621	C₂×C₄×C₇	—	4	2	no	—
622	C₂×C₄×C₇	—	4	2	no	—
623	C₂×C₄×C₇	—	8	2	no	—
624	C₂×C₄×C₇	—	8	2	no	—
625	C₂×C₄×C₇	—	8	2	no	—
626	C₂×C₄×C₇	—	8	1	no	—
627	C₂×C₄×C₇	—	8	1	no	—
628	C₂×C₄×C₇	—	8	2	no	—
629	C₂×C₄×C₇	—	8	2	no	—
630	C₂×C₄×C₇	—	8	2	no	—
631	C₂×C₄×C₇	—	8	2	no	—
632	C₂×C₄×C₇	—	8	2	no	—
633	C₂×C₄×C₇	—	8	1	no	—
634	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
635	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
636	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
637	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
638	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
639	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
640	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
641	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
642	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
643	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
644	C₇×C₈	—	2	2	no	—
645	C₇×C₈	—	2	1	no	—
646	C₇×C₈	—	2	1	no	—
647	C₇×C₈	—	2	2	no	—
648	C₇×C₈	—	2	1	no	—
649	C₇×C₈	—	2	1	no	—
650	C₂×#41	—	2	1	no	—
651	C₂×#41	—	2	1	no	—
652	C₂²×Q₈	—	2	1	no	—
653	C₂²×Q₈	—	2	1	no	—
654	C₂²×Q₈	—	2	1	no	—
655	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
656	C₂³×C₄	—	2	1	no	—
657	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
658	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
659	C₂×D₈	C₂³×C₇	1	2	yes	—
660	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
661	C₂×D₈	C₂³×C₇	1	2	yes	—
662	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
663	C₄⋊Q₈	—	2	1	no	—
664	C₄⋊Q₈	—	2	2	no	—
665	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
666	C₄⋊Q₈	C₇×D₄	1	1	yes	characteristic
667	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
668	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
669	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
670	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
671	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
672	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
673	#127	C₂³×C₇	1	1	yes	characteristic
674	#127	C₂³×C₇	1	2	yes	—
675	#126	—	2	2	no	—
676	#126	—	2	1	no	—
677	#125	—	2	2	no	—
678	#125	—	2	2	no	—
679	#125	C₇×D₄	1	2	yes	—
680	#125	C₂³×C₇	1	1	yes	characteristic
681	#125	C₂³×C₇	1	2	yes	—
682	#125	C₂³×C₇	1	2	yes	—
683	#125	C₂³×C₇	1	2	yes	—
684	#125	C₂³×C₇	1	2	yes	—
685	#124	—	2	1	no	—
686	#124	—	2	2	no	—
687	#124	—	2	2	no	—
688	#124	—	2	1	no	—
689	#124	C₂³×C₇	1	1	yes	characteristic
690	#124	C₂³×C₇	1	2	yes	—
691	#123	—	2	1	no	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	C₂²⋊Q₈	—	2	1	no	—
699	C₂²⋊Q₈	—	2	1	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	1	no	—
704	C₂²⋊Q₈	—	2	1	no	—
705	C₂²⋊Q₈	—	2	1	no	—
706	C₂²⋊Q₈	—	2	1	no	—
707	C₂²⋊Q₈	—	2	2	no	—
708	C₂²⋊Q₈	—	2	2	no	—
709	C₂²⋊Q₈	—	2	2	no	—
710	C₂²⋊Q₈	—	2	2	no	—
711	C₂²⋊Q₈	—	2	2	no	—
712	C₂²⋊Q₈	—	2	2	no	—
713	C₂²⋊Q₈	—	2	1	no	—
714	C₂²⋊Q₈	—	2	2	no	—
715	C₂²⋊Q₈	—	2	2	no	—
716	C₂²⋊Q₈	—	2	2	no	—
717	C₂²⋊Q₈	—	2	2	no	—
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	—	2	2	no	—
720	C₂²⋊Q₈	—	2	2	no	—
721	C₂²⋊Q₈	—	2	2	no	—
722	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
723	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
724	C₂²⋊Q₈	C₇×D₄	1	2	yes	—
725	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
726	#121	—	2	1	no	—
727	#121	—	2	2	no	—
728	#121	—	2	1	no	—
729	#121	—	2	2	no	—
730	#121	—	2	2	no	—
731	#121	C₂³×C₇	1	1	yes	characteristic
732	#121	C₂³×C₇	1	2	yes	—
733	C₄×Q₈	—	2	1	no	—
734	C₄×Q₈	—	2	1	no	—
735	C₄×Q₈	—	2	1	no	—
736	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
737	C₄×Q₈	C₂³×C₇	1	2	yes	—
738	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
739	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
740	C₄×Q₈	C₂³×C₇	1	2	yes	—
741	C₄×D₄	—	2	1	no	—
742	C₄×D₄	—	2	2	no	—
743	C₄×D₄	—	2	2	no	—
744	C₄×D₄	—	2	2	no	—
745	C₄×D₄	—	2	1	no	—
746	C₄×D₄	—	2	1	no	—
747	C₄×D₄	—	2	1	no	—
748	C₄×D₄	—	2	1	no	—
749	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
750	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
751	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
752	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
753	C₄×D₄	C₂³×C₇	1	2	yes	—
754	C₄×D₄	C₂³×C₇	1	2	yes	—
755	C₄×D₄	C₂³×C₇	1	2	yes	—
756	C₄×D₄	C₂³×C₇	1	2	yes	—
757	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
758	C₄×D₄	C₂³×C₇	1	2	yes	—
759	C₄×D₄	C₂³×C₇	1	2	yes	—
760	C₄×D₄	C₂³×C₇	1	2	yes	—
761	C₄×D₄	C₂³×C₇	1	2	yes	—
762	#117	—	2	1	no	—
763	#117	C₂³×C₇	1	2	yes	—
764	#117	C₂³×C₇	1	2	yes	—
765	C₂×C₄⋊C₄	—	2	2	no	—
766	C₂×C₄⋊C₄	—	2	2	no	—
767	C₂×C₄⋊C₄	—	2	1	no	—
768	C₂×C₄⋊C₄	—	2	1	no	—
769	C₂×C₄⋊C₄	—	2	2	no	—
770	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	—	2	1	no	—
772	C₂×C₂²⋊C₄	—	2	2	no	—
773	C₂×C₂²⋊C₄	—	2	2	no	—
774	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
775	#107	C₂³×C₇	1	2	yes	—
776	#107	C₂³×C₇	1	2	yes	—
777	#107	C₂³×C₇	1	2	yes	—
778	#107	C₂³×C₇	1	1	yes	characteristic
779	#107	C₂³×C₇	1	2	yes	—
780	#107	C₂³×C₇	1	2	yes	—
781	#107	C₂³×C₇	1	1	yes	characteristic
782	#107	C₂³×C₇	1	2	yes	—
783	#106	C₂³×C₇	1	2	yes	—
784	#106	C₂³×C₇	1	1	yes	characteristic
785	#106	C₂³×C₇	1	1	yes	characteristic
786	#106	C₂³×C₇	1	2	yes	—
787	#106	C₂³×C₇	1	2	yes	—
788	#106	C₂³×C₇	1	2	yes	—
789	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
790	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
791	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
792	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
793	C₄⋊C₈	C₂³×C₇	1	2	yes	—
794	C₄⋊C₈	C₂³×C₇	1	2	yes	—
795	C₄⋊C₈	C₂³×C₇	1	2	yes	—
796	C₄⋊C₈	C₂³×C₇	1	2	yes	—
797	#103	C₂³×C₇	1	1	yes	characteristic
798	#103	C₂³×C₇	1	2	yes	—
799	#103	C₂³×C₇	1	1	yes	characteristic
800	#103	C₂³×C₇	1	2	yes	—
801	#102	C₂³×C₇	1	1	yes	characteristic
802	#102	C₂³×C₇	1	2	yes	—
803	#102	C₂³×C₇	1	1	yes	characteristic
804	#102	C₂³×C₇	1	2	yes	—
805	#102	C₂³×C₇	1	1	yes	characteristic
806	#102	C₂³×C₇	1	2	yes	—
807	#102	C₂³×C₇	1	2	yes	—
808	#102	C₂³×C₇	1	2	yes	—
809	#102	C₂³×C₇	1	2	yes	—
810	#102	C₂³×C₇	1	1	yes	characteristic
811	#102	C₂³×C₇	1	2	yes	—
812	#102	C₂³×C₇	1	1	yes	characteristic
813	#102	C₂³×C₇	1	1	yes	characteristic
814	#102	C₂³×C₇	1	2	yes	—
815	#102	C₂³×C₇	1	2	yes	—
816	#102	C₂³×C₇	1	2	yes	—
817	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
818	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
819	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
820	#97	C₂³×C₇	1	2	yes	—
821	#97	C₂³×C₇	1	2	yes	—
822	C₄×C₈	C₂³×C₇	1	2	yes	—
823	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
824	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
825	C₄×C₈	C₂³×C₇	1	2	yes	—
826	C₄×C₈	C₂³×C₇	1	2	yes	—
827	C₂²×C₇	—	2	1	no	—
828	C₂²×C₇	—	2	1	no	—
829	C₂²×C₇	—	2	2	no	—
830	C₂²×C₇	—	2	2	no	—
831	C₂²×C₇	—	2	1	no	—
832	C₂²×C₇	—	4	1	no	—
833	C₂²×C₇	—	4	1	no	—
834	C₂²×C₇	—	4	1	no	—
835	C₂²×C₇	—	4	1	no	—
836	C₂²×C₇	—	4	2	no	—
837	C₂²×C₇	—	4	1	no	—
838	C₂²×C₇	—	4	2	no	—
839	C₂²×C₇	—	4	1	no	—
840	C₂²×C₇	—	4	1	no	—
841	C₂²×C₇	—	4	2	no	—
842	C₂²×C₇	—	8	4	no	—
843	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
844	C₄×C₇	—	2	1	no	—
845	C₄×C₇	—	2	1	no	—
846	C₄×C₇	—	2	2	no	—
847	C₄×C₇	—	2	2	no	—
848	C₄×C₇	—	2	1	no	—
849	C₄×C₇	—	2	1	no	—
850	C₄×C₇	—	2	2	no	—
851	C₄×C₇	—	2	2	no	—
852	C₄×C₇	—	4	1	no	—
853	C₄×C₇	—	4	2	no	—
854	C₄×C₇	—	4	1	no	—
855	C₄×C₇	—	4	1	no	—
856	C₄×C₇	—	4	1	no	—
857	C₄×C₇	—	4	1	no	—
858	C₄×C₇	—	4	2	no	—
859	C₄×C₇	—	4	2	no	—
860	C₄×C₇	#576	1	2	yes	—
861	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
862	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
863	C₂⁴	—	2	1	no	—
864	#41	—	8	2	no	—
865	#41	—	8	2	no	—
866	C₂×Q₈	—	2	1	no	—
867	C₂×Q₈	—	2	1	no	—
868	C₂×Q₈	—	2	1	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	8	2	no	—
873	C₂×Q₈	—	8	2	no	—
874	C₂×Q₈	—	8	2	no	—
875	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
876	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
877	C₂×Q₈	C₂×C₇×D₄	1	2	yes	—
878	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	1	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	1	no	—
884	C₂×D₄	—	2	1	no	—
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
889	C₂×D₄	C₂⁴×C₇	1	2	yes	—
890	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
891	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	8	2	no	—
907	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
908	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
910	SD₁₆	—	2	2	no	—
911	SD₁₆	—	2	2	no	—
912	D₈	—	2	4	no	—
913	D₈	—	2	2	no	—
914	D₈	—	2	4	no	—
915	D₈	—	2	2	no	—
916	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
917	C₂×C₈	C₂⁴×C₇	1	2	yes	—
918	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
919	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₇	1	2	yes	—
921	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
943	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
944	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
945	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
946	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
947	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
948	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
949	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
950	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
951	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
952	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
953	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
954	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
955	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
956	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
957	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	1	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	1	no	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
980	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	2	no	—
984	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
985	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
986	C₄²	C₂⁴×C₇	1	1	yes	characteristic
987	C₄²	C₂⁴×C₇	1	1	yes	characteristic
988	C₄²	C₂⁴×C₇	1	2	yes	—
989	C₄²	C₂⁴×C₇	1	2	yes	—
990	C₂×C₇	—	4	1	no	—
991	C₂×C₇	—	4	2	no	—
992	C₂×C₇	—	4	2	no	—
993	C₂×C₇	—	8	2	no	—
994	C₂×C₇	—	8	1	no	—
995	C₂×C₇	#3486	1	1	yes	characteristic
996	C₂×C₇	C₂×#576	1	1	yes	characteristic
997	C₂×C₇	#3584	1	1	yes	characteristic
998	C₂³	—	2	4	no	—
999	C₂³	—	2	1	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	2	no	—
1003	C₂³	—	8	1	no	—
1004	C₂³	—	8	1	no	—
1005	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1006	Q₈	—	2	2	no	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	2	1	no	—
1010	Q₈	—	4	2	no	—
1011	Q₈	—	4	2	no	—
1012	Q₈	—	4	2	no	—
1013	Q₈	—	8	1	no	—
1014	Q₈	—	8	2	no	—
1015	Q₈	—	8	2	no	—
1016	Q₈	—	8	2	no	—
1017	D₄	—	2	4	no	—
1018	D₄	—	2	1	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	2	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	4	2	no	—
1025	D₄	—	8	1	no	—
1026	D₄	—	8	2	no	—
1027	D₄	—	8	2	no	—
1028	D₄	—	8	1	no	—
1029	D₄	—	8	2	no	—
1030	D₄	C₇×2₋¹⁺⁴	1	2	yes	—
1031	D₄	C₇×2₋¹⁺⁴	1	2	yes	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	4	1	no	—
1044	C₂×C₄	—	4	2	no	—
1045	C₂×C₄	—	4	2	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	8	2	no	—
1048	C₂×C₄	—	8	2	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	1	no	—
1051	C₂×C₄	—	8	1	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	1	no	—
1058	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1059	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1060	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1061	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1062	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1063	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1064	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1065	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1066	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1067	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1068	C₈	—	2	2	no	—
1069	C₈	—	2	1	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	1	no	—
1072	C₈	—	2	1	no	—
1073	C₈	—	2	1	no	—
1074	C₇	#61863	1	1	yes	characteristic, direct product factor, Sylow
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	1	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	8	4	no	—
1091	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1092	C₄	—	2	1	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	1	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	2	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	1	no	—
1108	C₄	C₇×#576	1	2	yes	—
1109	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1110	C₄	C₂×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1111	C₂	—	4	1	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	4	2	no	—
1114	C₂	—	8	1	no	—
1115	C₂	—	8	2	no	—
1116	C₂	C₇×#3486	1	1	yes	characteristic
1117	C₂	C₂×C₇×#576	1	1	yes	characteristic
1118	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×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3554	C₂	semidirect
2. C₇×#3501	C₂	semidirect
3. C₇×#3389	C₂	semidirect
4. C₇×#3386	C₂	semidirect
5. C₇×#3384	C₂	semidirect
6. C₇×#3381	C₂	semidirect
7. C₇×#3380	C₂	semidirect
8. C₇×Q₈×D₈	C₂	semidirect
9. C₇×#3373	C₂	semidirect
10. C₇×#3370	C₂	semidirect
11. C₇×#3366	C₂	semidirect
12. C₇×#3361	C₂	semidirect
13. C₇×#3361	C₂	semidirect
14. C₇×#3358	C₂	semidirect
15. C₇×#3243	C₂	semidirect
16. C₇×#3241	C₂	semidirect
17. C₇×#3233	C₂	semidirect
18. C₇×#3228	C₂	semidirect
19. C₇×#3122	C₂	semidirect
20. C₇×#3118	C₂	semidirect
21. C₇×#3105	C₂	semidirect
22. C₇×#3100	C₂	semidirect
23. C₇×#2986	C₂	semidirect
25. C₇×#559	C₂²	semidirect
26. C₇×#559	C₂²	semidirect
27. C₇×#557	C₂²	semidirect
34. C₇×#554	C₂²	semidirect
35. C₇×#550	C₂²	semidirect
39. C₇×D₄×Q₈	C₂²	semidirect
57. C₇×#501	C₂²	semidirect
58. C₇×#501	C₂²	semidirect
59. C₇×#500	C₂²	semidirect
60. C₇×#500	C₂²	semidirect
61. C₇×#499	C₂²	semidirect
62. C₇×#499	C₂²	semidirect
63. C₇×#498	C₂²	semidirect
64. C₇×#490	C₂²	semidirect
65. C₇×#489	C₂²	semidirect
66. C₇×#488	C₂²	semidirect
67. C₇×#488	C₂²	semidirect
68. C₇×#486	C₂²	semidirect
69. C₇×#486	C₂²	semidirect
70. C₇×#486	C₂²	semidirect
78. C₇×#479	C₂²	semidirect
83. C₇×#478	C₂²	semidirect
84. C₇×#478	C₂²	semidirect
85. C₇×#478	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#478	C₂²	semidirect
88. C₇×#477	C₂²	semidirect
89. C₇×#477	C₂²	semidirect
91. C₇×#476	C₂²	semidirect
92. C₇×#476	C₂²	semidirect
93. C₇×#475	C₂²	semidirect
97. C₇×#474	C₂²	semidirect
98. C₇×#474	C₂²	semidirect
99. C₇×#474	C₂²	semidirect
111. C₇×#446	C₂²	semidirect
112. C₇×#446	C₂²	semidirect
113. C₇×#446	C₂²	semidirect
114. C₇×C₈×Q₈	C₂²	semidirect
115. C₇×C₈×Q₈	C₂²	semidirect
116. C₇×C₈×Q₈	C₂²	semidirect
135. #61863	C₇	direct (N × H)
313. #3554	C₂×C₇	semidirect
314. #3501	C₂×C₇	semidirect
315. #3389	C₂×C₇	semidirect
316. #3386	C₂×C₇	semidirect
317. #3384	C₂×C₇	semidirect
318. #3381	C₂×C₇	semidirect
319. #3380	C₂×C₇	semidirect
320. Q₈×D₈	C₂×C₇	semidirect
321. #3373	C₂×C₇	semidirect
322. #3370	C₂×C₇	semidirect
323. #3366	C₂×C₇	semidirect
324. #3361	C₂×C₇	semidirect
325. #3361	C₂×C₇	semidirect
326. #3358	C₂×C₇	semidirect
327. #3243	C₂×C₇	semidirect
328. #3241	C₂×C₇	semidirect
329. #3233	C₂×C₇	semidirect
330. #3228	C₂×C₇	semidirect
331. #3122	C₂×C₇	semidirect
332. #3118	C₂×C₇	semidirect
333. #3105	C₂×C₇	semidirect
334. #3100	C₂×C₇	semidirect
335. #2986	C₂×C₇	semidirect
464. #559	C₂²×C₇	semidirect
465. #559	C₂²×C₇	semidirect
466. #557	C₂²×C₇	semidirect
473. #554	C₂²×C₇	semidirect
474. #550	C₂²×C₇	semidirect
478. D₄×Q₈	C₂²×C₇	semidirect
496. #501	C₂²×C₇	semidirect
497. #501	C₂²×C₇	semidirect
498. #500	C₂²×C₇	semidirect
499. #500	C₂²×C₇	semidirect
500. #499	C₂²×C₇	semidirect
501. #499	C₂²×C₇	semidirect
502. #498	C₂²×C₇	semidirect
503. #490	C₂²×C₇	semidirect
504. #489	C₂²×C₇	semidirect
505. #488	C₂²×C₇	semidirect
506. #488	C₂²×C₇	semidirect
507. #486	C₂²×C₇	semidirect
508. #486	C₂²×C₇	semidirect
509. #486	C₂²×C₇	semidirect
517. #479	C₂²×C₇	semidirect
522. #478	C₂²×C₇	semidirect
523. #478	C₂²×C₇	semidirect
524. #478	C₂²×C₇	semidirect
525. #478	C₂²×C₇	semidirect
526. #478	C₂²×C₇	semidirect
527. #477	C₂²×C₇	semidirect
528. #477	C₂²×C₇	semidirect
530. #476	C₂²×C₇	semidirect
531. #476	C₂²×C₇	semidirect
532. #475	C₂²×C₇	semidirect
536. #474	C₂²×C₇	semidirect
537. #474	C₂²×C₇	semidirect
538. #474	C₂²×C₇	semidirect
550. #446	C₂²×C₇	semidirect
551. #446	C₂²×C₇	semidirect
552. #446	C₂²×C₇	semidirect
553. C₈×Q₈	C₂²×C₇	semidirect
554. C₈×Q₈	C₂²×C₇	semidirect
555. C₈×Q₈	C₂²×C₇	semidirect
1074. C₇	#61863	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×#3554	2
C₇×#3501	2
C₇×#3389	2
C₇×#3386	2
C₇×#3384	2
C₇×#3381	2
C₇×#3380	2
C₇×Q₈×D₈	2
C₇×#3373	2
C₇×#3370	2
C₇×#3366	2
C₇×#3361	2
C₇×#3358	2
C₇×#3243	2
C₇×#3241	2
C₇×#3233	2
C₇×#3228	2
C₇×#3122	2
C₇×#3118	2
C₇×#3105	2
C₇×#3100	2
C₇×#2986	2
#61863	7

Subgroups — C7×#61863 #13239079

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61863 #13239079