Subgroups — C₇×#61463 #13238679

Order 1792.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3393	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3364	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3354	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3352	C₂	1	2	yes	maximal, complemented
9	C₇×#3330	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3329	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3327	C₂	1	2	yes	maximal, complemented
12	C₇×#3323	C₂	1	2	yes	maximal, complemented
13	C₇×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3275	C₂	1	2	yes	maximal, complemented
15	C₇×#3185	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3183	C₂	1	2	yes	maximal, complemented
17	C₇×#3117	C₂	1	2	yes	maximal, complemented
18	C₇×#3116	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3111	C₂	1	2	yes	maximal, complemented
20	C₇×#3110	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2971	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₇×#137	C₂	1	2	yes	maximal, complemented
23	C₄×C₇×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×#137	C₂²	1	2	yes	—
25	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₇×#557	C₂²	1	1	yes	characteristic, complemented
27	C₇×#556	—	2	1	no	—
28	C₇×#556	C₂²	1	1	yes	characteristic
29	C₇×#556	C₂²	1	1	yes	characteristic, complemented
30	C₇×#555	C₂²	1	1	yes	characteristic
31	C₇×#554	C₂²	1	1	yes	characteristic
32	C₇×#553	—	2	1	no	—
33	C₇×#552	—	2	1	no	—
34	C₇×#552	—	2	2	no	—
35	C₇×#552	C₂²	1	2	yes	—
36	C₇×#552	C₂²	1	2	yes	—
37	C₇×#551	—	2	2	no	—
38	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₇×#548	C₂²	1	2	yes	—
40	C₇×#547	—	2	1	no	—
41	C₇×#547	C₂²	1	1	yes	characteristic
42	C₇×#547	C₂²	1	1	yes	characteristic, complemented
43	C₇×#546	C₂²	1	2	yes	—
44	C₇×#533	—	2	1	no	—
45	C₇×#533	C₂²	1	1	yes	characteristic
46	C₇×#533	C₂²	1	1	yes	characteristic
47	C₇×#529	—	2	2	no	—
48	C₇×#529	—	2	2	no	—
49	C₇×#529	C₂²	1	2	yes	—
50	C₇×#529	C₂²	1	2	yes	complemented
51	C₇×#525	—	2	1	no	—
52	C₄×C₇×#41	—	2	1	no	—
53	C₄×C₇×#41	C₂²	1	1	yes	characteristic
54	C₄×C₇×#41	C₂²	1	2	yes	—
55	C₄×C₇×#41	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
57	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
58	C₂×C₇×#117	—	2	1	no	—
59	C₇×#499	C₂²	1	2	yes	complemented
60	C₇×#498	C₂²	1	1	yes	characteristic, complemented
61	C₇×#495	C₂²	1	2	yes	—
62	C₇×#494	C₂²	1	1	yes	characteristic, complemented
63	C₇×#488	C₂²	1	2	yes	—
64	C₇×#488	C₂²	1	2	yes	complemented
65	C₇×#487	C₂²	1	1	yes	characteristic, complemented
66	C₇×#487	C₂²	1	1	yes	characteristic, complemented
67	C₇×#485	C₂²	1	2	yes	—
68	C₇×#485	C₂²	1	2	yes	complemented
69	C₇×#484	C₂²	1	2	yes	—
70	C₇×#484	C₂²	1	2	yes	complemented
71	C₇×#482	C₂²	1	2	yes	complemented
72	C₇×#481	C₂²	1	2	yes	—
73	C₇×#479	C₂²	1	2	yes	complemented
74	C₇×#479	C₂²	1	2	yes	complemented
75	C₇×#479	C₂²	1	2	yes	complemented
76	C₇×#478	C₂²	1	2	yes	—
77	C₇×#477	C₂²	1	1	yes	characteristic, complemented
78	C₇×#476	C₂²	1	1	yes	characteristic, complemented
79	C₇×#474	C₂²	1	1	yes	characteristic
80	C₇×#474	C₂²	1	1	yes	characteristic
81	C₇×#470	C₂²	1	2	yes	—
82	C₇×#470	C₂²	1	2	yes	—
83	C₇×#470	C₂²	1	2	yes	complemented
84	C₇×#469	C₂²	1	2	yes	—
85	C₇×#468	C₂²	1	2	yes	—
86	C₇×#468	C₂²	1	2	yes	complemented
87	C₇×#464	C₂²	1	2	yes	—
88	C₇×#464	C₂²	1	2	yes	—
89	C₇×#464	C₂²	1	2	yes	complemented
90	C₇×#463	C₂²	1	2	yes	—
91	C₇×#462	C₂²	1	1	yes	characteristic, complemented
92	C₇×#461	C₂²	1	1	yes	characteristic
93	C₇×#461	C₂²	1	1	yes	characteristic
94	C₇×#461	C₂²	1	1	yes	characteristic, complemented
95	C₇×#452	C₂²	1	2	yes	—
96	C₇×#452	C₂²	1	2	yes	—
97	C₇×#451	C₂²	1	2	yes	complemented
98	C₇×#450	C₂²	1	2	yes	—
99	C₇×#449	C₂²	1	2	yes	—
100	C₇×#448	C₂²	1	2	yes	—
101	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
102	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₇×#442	C₂²	1	1	yes	characteristic
104	C₇×#442	C₂²	1	1	yes	characteristic
105	C₇×#441	C₂²	1	2	yes	complemented
106	C₇×#441	C₂²	1	2	yes	complemented
107	C₇×#441	C₂²	1	2	yes	complemented
108	C₇×#440	C₂²	1	2	yes	—
109	C₇×#440	C₂²	1	1	yes	characteristic
110	C₇×#440	C₂²	1	1	yes	characteristic
111	C₇×#440	C₂²	1	2	yes	—
112	C₇×#440	C₂²	1	2	yes	complemented
113	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
114	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
115	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
116	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
118	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
119	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
121	C₇×#436	C₂²	1	2	yes	—
122	C₇×#436	C₂²	1	2	yes	—
123	C₇×#436	C₂²	1	1	yes	characteristic, complemented
124	C₇×#436	C₂²	1	1	yes	characteristic, complemented
125	C₇×#432	C₂²	1	1	yes	characteristic
126	C₇×#432	C₂²	1	2	yes	complemented
127	C₇×#428	C₂²	1	1	yes	characteristic
128	C₇×#428	C₂²	1	2	yes	complemented
129	C₇×#419	C₂²	1	2	yes	complemented
130	C₇×#418	C₂²	1	1	yes	characteristic
131	C₇×#417	C₂²	1	1	yes	characteristic
132	C₇×#417	C₂²	1	2	yes	—
133	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic
134	C₄×C₇×M₁₆	C₂²	1	2	yes	complemented
135	#61463	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	1	no	—
137	C₂×C₇×#41	D₄	1	1	yes	characteristic
138	C₂×C₇×#41	C₂³	1	2	yes	—
139	C₂×C₇×#41	C₂³	1	1	yes	characteristic
140	C₂²×C₇×Q₈	C₂³	1	2	yes	—
141	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇	—	2	1	no	—
143	C₇×#137	—	2	8	no	—
144	C₇×AGL(1,ℤ/8)	—	2	4	no	—
145	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
154	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
155	C₂×C₇×M₁₆	C₂³	1	2	yes	—
156	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₇×M₁₆	C₂³	1	2	yes	—
158	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
159	C₇×C₄⋊Q₈	—	2	1	no	—
160	C₇×C₄⋊Q₈	—	2	1	no	—
161	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₇×#126	—	2	2	no	—
166	C₇×#126	—	2	2	no	—
167	C₇×#126	—	2	2	no	—
168	C₇×#126	—	2	2	no	—
169	C₇×#126	—	2	2	no	—
170	C₇×#126	—	2	2	no	—
171	C₇×#125	—	2	2	no	—
172	C₇×#125	—	2	2	no	—
173	C₇×#125	—	2	2	no	—
174	C₇×#125	—	2	1	no	—
175	C₇×#125	—	2	1	no	—
176	C₇×#125	C₂³	1	2	yes	—
177	C₇×#125	C₂³	1	2	yes	—
178	C₇×#124	—	2	2	no	—
179	C₇×#124	—	2	2	no	—
180	C₇×#124	C₂³	1	2	yes	—
181	C₇×#124	C₂³	1	2	yes	—
182	C₇×#123	—	2	2	no	—
183	C₇×#123	—	2	2	no	—
184	C₇×#123	—	2	2	no	—
185	C₇×#123	—	2	2	no	—
186	C₇×#123	—	2	2	no	—
187	C₇×#123	—	2	2	no	—
188	C₇×#123	—	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	1	no	—
194	C₇×C₂²⋊Q₈	—	2	2	no	—
195	C₇×C₂²⋊Q₈	—	2	1	no	—
196	C₇×C₂²⋊Q₈	—	2	2	no	—
197	C₇×C₂²⋊Q₈	—	2	2	no	—
198	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₇×#121	—	2	1	no	—
203	C₇×#121	—	2	1	no	—
204	C₇×#121	—	2	2	no	—
205	C₇×#121	—	2	2	no	—
206	C₇×#121	C₂³	1	2	yes	—
207	C₇×#121	C₂³	1	2	yes	—
208	C₇×#120	—	2	2	no	—
209	C₄×C₇×Q₈	—	2	1	no	—
210	C₄×C₇×Q₈	—	2	2	no	—
211	C₄×C₇×Q₈	—	2	2	no	—
212	C₄×C₇×Q₈	—	2	1	no	—
213	C₄×C₇×Q₈	—	2	1	no	—
214	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
215	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
216	C₄×C₇×Q₈	C₂³	1	2	yes	—
217	C₄×C₇×Q₈	C₂³	1	2	yes	—
218	C₄×C₇×Q₈	C₂³	1	2	yes	—
219	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
220	C₄×C₇×Q₈	C₂³	1	2	yes	—
221	C₄×C₇×Q₈	C₂³	1	2	yes	—
222	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₇×D₄	—	2	1	no	—
224	C₄×C₇×D₄	—	2	2	no	—
225	C₄×C₇×D₄	—	2	2	no	—
226	C₄×C₇×D₄	—	2	1	no	—
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	D₄	1	1	yes	characteristic
234	C₄×C₇×D₄	D₄	1	2	yes	—
235	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
238	C₄×C₇×D₄	C₂³	1	2	yes	—
239	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
240	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
242	C₄×C₇×D₄	C₂³	1	2	yes	—
243	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
244	C₇×#117	—	2	1	no	—
245	C₇×#117	—	2	1	no	—
246	C₇×#117	—	2	1	no	—
247	C₇×#117	—	2	1	no	—
248	C₇×#117	—	2	1	no	—
249	C₇×#117	—	2	2	no	—
250	C₇×#117	—	2	2	no	—
251	C₇×#117	—	2	2	no	—
252	C₇×#117	—	2	2	no	—
253	C₇×#117	—	2	1	no	—
254	C₇×#117	—	2	2	no	—
255	C₇×#117	D₄	1	1	yes	characteristic
256	C₇×#117	D₄	1	2	yes	—
257	C₇×#117	C₂³	1	2	yes	—
258	C₇×#117	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₄⋊C₄	—	2	2	no	—
260	C₂×C₇×C₄⋊C₄	—	2	1	no	—
261	C₂×C₇×C₄⋊C₄	—	2	1	no	—
262	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₄²×C₇	—	2	2	no	—
267	C₂×C₄²×C₇	—	2	2	no	—
268	C₂×C₄²×C₇	—	2	1	no	—
269	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
270	C₂×C₄²×C₇	C₂³	1	2	yes	—
271	C₇×#107	C₂³	1	2	yes	—
272	C₇×#107	C₂³	1	2	yes	—
273	C₇×#107	C₂³	1	2	yes	—
274	C₇×#107	C₂³	1	1	yes	characteristic
275	C₇×#107	C₂³	1	1	yes	characteristic
276	C₇×#106	C₂³	1	2	yes	—
277	C₇×#106	C₂³	1	2	yes	—
278	C₇×#106	C₂³	1	1	yes	characteristic
279	C₇×#106	C₂³	1	2	yes	—
280	C₇×#106	C₂³	1	1	yes	characteristic
281	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₇×C₄⋊C₈	C₂³	1	2	yes	—
284	C₇×C₄⋊C₈	C₂³	1	2	yes	—
285	C₇×#103	C₂³	1	2	yes	—
286	C₇×#103	C₂³	1	2	yes	—
287	C₇×#103	C₂³	1	2	yes	—
288	C₇×#103	C₂³	1	2	yes	—
289	C₇×#103	C₂³	1	2	yes	—
290	C₇×#103	C₂³	1	2	yes	—
291	C₇×#103	C₂³	1	2	yes	—
292	C₇×#103	C₂³	1	1	yes	characteristic
293	C₇×#103	C₂³	1	2	yes	—
294	C₇×#103	C₂³	1	2	yes	—
295	C₇×#103	C₂³	1	1	yes	characteristic
296	C₇×#102	C₂³	1	1	yes	characteristic
297	C₇×#102	C₂³	1	1	yes	characteristic
298	C₇×#102	C₂³	1	2	yes	—
299	C₇×#102	C₂³	1	2	yes	—
300	C₇×#102	C₂³	1	2	yes	—
301	C₇×#102	C₂³	1	1	yes	characteristic
302	C₇×#102	C₂³	1	1	yes	characteristic
303	C₇×#102	C₂³	1	1	yes	characteristic
304	C₇×#102	C₂³	1	1	yes	characteristic
305	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₇×#97	C₂³	1	1	yes	characteristic
309	C₇×#97	C₂³	1	1	yes	characteristic
310	C₇×#97	C₂³	1	2	yes	—
311	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
312	C₄×C₇×C₈	C₂³	1	2	yes	—
313	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
314	C₄×C₇×C₈	C₂³	1	2	yes	—
315	#3482	C₂×C₇	1	1	yes	characteristic, complemented
316	#3475	C₂×C₇	1	1	yes	characteristic, complemented
317	#3393	C₂×C₇	1	1	yes	characteristic, complemented
318	#3381	C₂×C₇	1	1	yes	characteristic, complemented
319	#3364	C₂×C₇	1	1	yes	characteristic, complemented
320	#3360	C₂×C₇	1	1	yes	characteristic, complemented
321	#3354	C₂×C₇	1	1	yes	characteristic, complemented
322	#3352	C₂×C₇	1	2	yes	complemented
323	#3330	C₂×C₇	1	1	yes	characteristic, complemented
324	#3329	C₂×C₇	1	1	yes	characteristic, complemented
325	#3327	C₂×C₇	1	2	yes	complemented
326	#3323	C₂×C₇	1	2	yes	complemented
327	#3276	C₂×C₇	1	1	yes	characteristic, complemented
328	#3275	C₂×C₇	1	2	yes	complemented
329	#3185	C₂×C₇	1	1	yes	characteristic, complemented
330	#3183	C₂×C₇	1	2	yes	complemented
331	#3117	C₂×C₇	1	2	yes	complemented
332	#3116	C₂×C₇	1	1	yes	characteristic, complemented
333	#3111	C₂×C₇	1	2	yes	complemented
334	#3110	C₂×C₇	1	1	yes	characteristic, complemented
335	#2971	C₂×C₇	1	1	yes	characteristic, complemented
336	C₄×#137	C₂×C₇	1	2	yes	complemented
337	C₄×AGL(1,ℤ/8)	C₂×C₇	1	1	yes	characteristic, complemented
338	C₂⁴×C₇	—	2	1	no	—
339	C₇×#41	—	2	2	no	—
340	C₇×#41	—	2	4	no	—
341	C₇×#41	—	4	2	no	—
342	C₇×#41	—	4	1	no	—
343	C₇×#41	—	4	2	no	—
344	C₇×#41	—	4	4	no	—
345	C₂×C₇×Q₈	—	2	2	no	—
346	C₂×C₇×Q₈	—	2	1	no	—
347	C₂×C₇×Q₈	—	2	1	no	—
348	C₂×C₇×Q₈	—	2	4	no	—
349	C₂×C₇×Q₈	—	4	2	no	—
350	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
351	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
352	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
353	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
354	C₂×C₇×D₄	—	2	2	no	—
355	C₂×C₇×D₄	—	2	2	no	—
356	C₂×C₇×D₄	—	2	1	no	—
357	C₂×C₇×D₄	—	2	2	no	—
358	C₂×C₇×D₄	—	2	2	no	—
359	C₂×C₇×D₄	—	2	1	no	—
360	C₂×C₇×D₄	—	4	1	no	—
361	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
362	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
363	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
364	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
365	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₇	—	2	2	no	—
367	C₂²×C₄×C₇	—	2	2	no	—
368	C₂²×C₄×C₇	—	2	1	no	—
369	C₂²×C₄×C₇	—	2	1	no	—
370	C₂²×C₄×C₇	—	2	2	no	—
371	C₂²×C₄×C₇	—	2	1	no	—
372	C₂²×C₄×C₇	—	2	1	no	—
373	C₂²×C₄×C₇	—	2	1	no	—
374	C₂²×C₄×C₇	—	2	1	no	—
375	C₂²×C₄×C₇	—	2	1	no	—
376	C₂²×C₄×C₇	—	2	1	no	—
377	C₂²×C₄×C₇	—	2	2	no	—
378	C₂²×C₄×C₇	—	4	4	no	—
379	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
380	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
381	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
383	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
385	C₇×Q₁₆	—	2	4	no	—
386	C₇×Q₁₆	—	2	4	no	—
387	C₇×Q₁₆	—	4	2	no	—
388	C₇×SD₁₆	—	2	2	no	—
389	C₇×SD₁₆	—	2	4	no	—
390	C₇×SD₁₆	—	4	2	no	—
391	C₇×SD₁₆	—	4	2	no	—
392	C₇×SD₁₆	#41	1	4	yes	complemented
393	C₇×D₈	—	2	2	no	—
394	C₇×D₈	—	2	2	no	—
395	C₇×M₁₆	—	2	2	no	—
396	C₇×M₁₆	—	2	4	no	—
397	C₇×M₁₆	—	4	2	no	—
398	C₇×M₁₆	—	4	1	no	—
399	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
400	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
401	C₂×C₇×C₈	C₂⁴	1	2	yes	—
402	C₂×C₇×C₈	C₂⁴	1	2	yes	—
403	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
404	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
405	C₇×C₄⋊C₄	—	2	1	no	—
406	C₇×C₄⋊C₄	—	2	1	no	—
407	C₇×C₄⋊C₄	—	2	1	no	—
408	C₇×C₄⋊C₄	—	2	2	no	—
409	C₇×C₄⋊C₄	—	2	2	no	—
410	C₇×C₄⋊C₄	—	2	2	no	—
411	C₇×C₄⋊C₄	—	2	2	no	—
412	C₇×C₄⋊C₄	—	2	2	no	—
413	C₇×C₄⋊C₄	—	2	1	no	—
414	C₇×C₄⋊C₄	—	2	2	no	—
415	C₇×C₄⋊C₄	—	2	1	no	—
416	C₇×C₄⋊C₄	—	2	2	no	—
417	C₇×C₄⋊C₄	—	2	2	no	—
418	C₇×C₄⋊C₄	—	2	1	no	—
419	C₇×C₄⋊C₄	—	2	2	no	—
420	C₇×C₄⋊C₄	—	2	2	no	—
421	C₇×C₄⋊C₄	—	2	1	no	—
422	C₇×C₄⋊C₄	—	2	2	no	—
423	C₇×C₄⋊C₄	—	2	1	no	—
424	C₇×C₄⋊C₄	—	2	2	no	—
425	C₇×C₄⋊C₄	—	2	2	no	—
426	C₇×C₄⋊C₄	—	2	2	no	—
427	C₇×C₄⋊C₄	—	2	1	no	—
428	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
429	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
430	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
431	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
432	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
433	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
434	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
435	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
436	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
437	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
438	C₇×C₂²⋊C₄	—	2	2	no	—
439	C₇×C₂²⋊C₄	—	2	2	no	—
440	C₇×C₂²⋊C₄	—	2	2	no	—
441	C₇×C₂²⋊C₄	—	2	2	no	—
442	C₇×C₂²⋊C₄	—	2	1	no	—
443	C₇×C₂²⋊C₄	—	2	2	no	—
444	C₇×C₂²⋊C₄	—	2	1	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	1	no	—
449	C₇×C₂²⋊C₄	—	2	1	no	—
450	C₇×C₂²⋊C₄	—	2	2	no	—
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	2	no	—
457	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
458	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
459	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
460	C₄²×C₇	—	2	1	no	—
461	C₄²×C₇	—	2	2	no	—
462	C₄²×C₇	—	2	1	no	—
463	C₄²×C₇	—	2	2	no	—
464	C₄²×C₇	—	2	2	no	—
465	C₄²×C₇	—	2	2	no	—
466	C₄²×C₇	—	2	2	no	—
467	C₄²×C₇	—	2	1	no	—
468	C₄²×C₇	—	2	2	no	—
469	C₄²×C₇	C₂×D₄	1	2	yes	—
470	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
471	C₄²×C₇	C₂×D₄	1	2	yes	—
472	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
473	C₄²×C₇	C₂⁴	1	1	yes	characteristic
474	C₄²×C₇	C₂⁴	1	2	yes	—
475	C₄²×C₇	C₂⁴	1	1	yes	characteristic
476	C₂×#137	C₂²×C₇	1	2	yes	—
477	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
478	#557	C₂²×C₇	1	1	yes	characteristic, complemented
479	#556	—	2	1	no	—
480	#556	C₂²×C₇	1	1	yes	characteristic
481	#556	C₂²×C₇	1	1	yes	characteristic, complemented
482	#555	C₂²×C₇	1	1	yes	characteristic
483	#554	C₂²×C₇	1	1	yes	characteristic
484	#553	—	2	1	no	—
485	#552	—	2	1	no	—
486	#552	—	2	2	no	—
487	#552	C₂²×C₇	1	2	yes	—
488	#552	C₂²×C₇	1	2	yes	—
489	#551	—	2	2	no	—
490	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
491	#548	C₂²×C₇	1	2	yes	—
492	#547	—	2	1	no	—
493	#547	C₂²×C₇	1	1	yes	characteristic
494	#547	C₂²×C₇	1	1	yes	characteristic, complemented
495	#546	C₂²×C₇	1	2	yes	—
496	#533	—	2	1	no	—
497	#533	C₂²×C₇	1	1	yes	characteristic
498	#533	C₂²×C₇	1	1	yes	characteristic
499	#529	—	2	2	no	—
500	#529	—	2	2	no	—
501	#529	C₂²×C₇	1	2	yes	—
502	#529	C₂²×C₇	1	2	yes	complemented
503	#525	—	2	1	no	—
504	C₄×#41	—	2	1	no	—
505	C₄×#41	C₂²×C₇	1	2	yes	—
506	C₄×#41	C₂²×C₇	1	1	yes	characteristic
507	C₄×#41	C₂²×C₇	1	1	yes	characteristic
508	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
509	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
510	C₂×#117	—	2	1	no	—
511	#499	C₂²×C₇	1	2	yes	complemented
512	#498	C₂²×C₇	1	1	yes	characteristic, complemented
513	#495	C₂²×C₇	1	2	yes	—
514	#494	C₂²×C₇	1	1	yes	characteristic, complemented
515	#488	C₂²×C₇	1	2	yes	—
516	#488	C₂²×C₇	1	2	yes	complemented
517	#487	C₂²×C₇	1	1	yes	characteristic, complemented
518	#487	C₂²×C₇	1	1	yes	characteristic, complemented
519	#485	C₂²×C₇	1	2	yes	—
520	#485	C₂²×C₇	1	2	yes	complemented
521	#484	C₂²×C₇	1	2	yes	—
522	#484	C₂²×C₇	1	2	yes	complemented
523	#482	C₂²×C₇	1	2	yes	complemented
524	#481	C₂²×C₇	1	2	yes	—
525	#479	C₂²×C₇	1	2	yes	complemented
526	#479	C₂²×C₇	1	2	yes	complemented
527	#479	C₂²×C₇	1	2	yes	complemented
528	#478	C₂²×C₇	1	2	yes	—
529	#477	C₂²×C₇	1	1	yes	characteristic, complemented
530	#476	C₂²×C₇	1	1	yes	characteristic, complemented
531	#474	C₂²×C₇	1	1	yes	characteristic
532	#474	C₂²×C₇	1	1	yes	characteristic
533	#470	C₂²×C₇	1	2	yes	—
534	#470	C₂²×C₇	1	2	yes	—
535	#470	C₂²×C₇	1	2	yes	complemented
536	#469	C₂²×C₇	1	2	yes	—
537	#468	C₂²×C₇	1	2	yes	—
538	#468	C₂²×C₇	1	2	yes	complemented
539	#464	C₂²×C₇	1	2	yes	—
540	#464	C₂²×C₇	1	2	yes	—
541	#464	C₂²×C₇	1	2	yes	complemented
542	#463	C₂²×C₇	1	2	yes	—
543	#462	C₂²×C₇	1	1	yes	characteristic, complemented
544	#461	C₂²×C₇	1	1	yes	characteristic
545	#461	C₂²×C₇	1	1	yes	characteristic
546	#461	C₂²×C₇	1	1	yes	characteristic, complemented
547	#452	C₂²×C₇	1	2	yes	—
548	#452	C₂²×C₇	1	2	yes	—
549	#451	C₂²×C₇	1	2	yes	complemented
550	#450	C₂²×C₇	1	2	yes	—
551	#449	C₂²×C₇	1	2	yes	—
552	#448	C₂²×C₇	1	2	yes	—
553	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
554	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
555	#442	C₂²×C₇	1	1	yes	characteristic
556	#442	C₂²×C₇	1	1	yes	characteristic
557	#441	C₂²×C₇	1	2	yes	complemented
558	#441	C₂²×C₇	1	2	yes	complemented
559	#441	C₂²×C₇	1	2	yes	complemented
560	#440	C₂²×C₇	1	2	yes	—
561	#440	C₂²×C₇	1	2	yes	—
562	#440	C₂²×C₇	1	1	yes	characteristic
563	#440	C₂²×C₇	1	1	yes	characteristic
564	#440	C₂²×C₇	1	2	yes	complemented
565	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
566	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
567	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
568	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
569	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
570	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
571	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
572	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
573	#436	C₂²×C₇	1	2	yes	—
574	#436	C₂²×C₇	1	2	yes	—
575	#436	C₂²×C₇	1	1	yes	characteristic, complemented
576	#436	C₂²×C₇	1	1	yes	characteristic, complemented
577	#432	C₂²×C₇	1	1	yes	characteristic
578	#432	C₂²×C₇	1	2	yes	complemented
579	#428	C₂²×C₇	1	1	yes	characteristic
580	#428	C₂²×C₇	1	2	yes	complemented
581	#419	C₂²×C₇	1	2	yes	complemented
582	#418	C₂²×C₇	1	1	yes	characteristic
583	#417	C₂²×C₇	1	2	yes	—
584	#417	C₂²×C₇	1	1	yes	characteristic
585	C₄×M₁₆	C₂²×C₇	1	1	yes	characteristic
586	C₄×M₁₆	C₂²×C₇	1	2	yes	complemented
587	C₂³×C₇	—	2	1	no	—
588	C₂³×C₇	—	2	1	no	—
589	C₂³×C₇	—	2	1	no	—
590	C₂³×C₇	—	4	2	no	—
591	C₂³×C₇	—	4	2	no	—
592	C₂³×C₇	—	8	1	no	—
593	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
594	C₂³×C₇	C₂²×D₄	1	2	yes	—
595	C₇×Q₈	—	2	2	no	—
596	C₇×Q₈	—	2	1	no	—
597	C₇×Q₈	—	2	2	no	—
598	C₇×Q₈	—	2	2	no	—
599	C₇×Q₈	—	2	2	no	—
600	C₇×Q₈	—	2	2	no	—
601	C₇×Q₈	—	4	4	no	—
602	C₇×Q₈	—	4	2	no	—
603	C₇×Q₈	—	8	1	no	—
604	C₇×Q₈	C₂×#41	1	2	yes	—
605	C₇×D₄	—	2	2	no	—
606	C₇×D₄	—	2	1	no	—
607	C₇×D₄	—	2	1	no	—
608	C₇×D₄	—	2	1	no	—
609	C₇×D₄	—	2	1	no	—
610	C₇×D₄	—	2	1	no	—
611	C₇×D₄	—	4	2	no	—
612	C₇×D₄	—	4	2	no	—
613	C₇×D₄	—	4	2	no	—
614	C₇×D₄	—	4	4	no	—
615	C₇×D₄	—	4	4	no	—
616	C₇×D₄	—	8	2	no	—
617	C₇×D₄	C₂×#41	1	2	yes	—
618	C₂×C₄×C₇	—	2	1	no	—
619	C₂×C₄×C₇	—	2	2	no	—
620	C₂×C₄×C₇	—	2	1	no	—
621	C₂×C₄×C₇	—	2	2	no	—
622	C₂×C₄×C₇	—	2	1	no	—
623	C₂×C₄×C₇	—	2	2	no	—
624	C₂×C₄×C₇	—	2	1	no	—
625	C₂×C₄×C₇	—	2	1	no	—
626	C₂×C₄×C₇	—	2	1	no	—
627	C₂×C₄×C₇	—	2	2	no	—
628	C₂×C₄×C₇	—	2	2	no	—
629	C₂×C₄×C₇	—	2	2	no	—
630	C₂×C₄×C₇	—	2	2	no	—
631	C₂×C₄×C₇	—	2	1	no	—
632	C₂×C₄×C₇	—	4	2	no	—
633	C₂×C₄×C₇	—	4	1	no	—
634	C₂×C₄×C₇	—	4	2	no	—
635	C₂×C₄×C₇	—	4	2	no	—
636	C₂×C₄×C₇	—	4	4	no	—
637	C₂×C₄×C₇	—	4	4	no	—
638	C₂×C₄×C₇	—	4	2	no	—
639	C₂×C₄×C₇	—	4	2	no	—
640	C₂×C₄×C₇	—	4	2	no	—
641	C₂×C₄×C₇	—	4	2	no	—
642	C₂×C₄×C₇	—	4	4	no	—
643	C₂×C₄×C₇	—	4	2	no	—
644	C₂×C₄×C₇	—	4	2	no	—
645	C₂×C₄×C₇	—	4	2	no	—
646	C₂×C₄×C₇	—	8	2	no	—
647	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
648	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
649	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
650	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
651	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
652	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
653	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
654	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
655	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
656	C₇×C₈	—	2	1	no	—
657	C₇×C₈	—	2	2	no	—
658	C₇×C₈	—	2	1	no	—
659	C₇×C₈	—	2	2	no	—
660	C₇×C₈	—	2	1	no	—
661	C₇×C₈	C₂×#41	1	2	yes	—
662	C₂×#41	—	2	1	no	—
663	C₂×#41	C₇×D₄	1	1	yes	characteristic
664	C₂×#41	C₂³×C₇	1	2	yes	—
665	C₂×#41	C₂³×C₇	1	1	yes	characteristic
666	C₂²×Q₈	C₂³×C₇	1	2	yes	—
667	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
668	C₂³×C₄	—	2	1	no	—
669	#137	—	2	8	no	—
670	AGL(1,ℤ/8)	—	2	4	no	—
671	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
672	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
673	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
674	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
675	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
676	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
677	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
678	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
679	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
680	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
681	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
682	C₂×M₁₆	C₂³×C₇	1	2	yes	—
683	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
684	C₂×M₁₆	C₂³×C₇	1	2	yes	—
685	C₄⋊Q₈	—	2	1	no	—
686	C₄⋊Q₈	—	2	1	no	—
687	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
688	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
689	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
690	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
691	#126	—	2	2	no	—
692	#126	—	2	2	no	—
693	#126	—	2	2	no	—
694	#126	—	2	2	no	—
695	#126	—	2	2	no	—
696	#126	—	2	2	no	—
697	#125	—	2	2	no	—
698	#125	—	2	2	no	—
699	#125	—	2	2	no	—
700	#125	—	2	1	no	—
701	#125	—	2	1	no	—
702	#125	C₂³×C₇	1	2	yes	—
703	#125	C₂³×C₇	1	2	yes	—
704	#124	—	2	2	no	—
705	#124	—	2	2	no	—
706	#124	C₂³×C₇	1	2	yes	—
707	#124	C₂³×C₇	1	2	yes	—
708	#123	—	2	2	no	—
709	#123	—	2	2	no	—
710	#123	—	2	2	no	—
711	#123	—	2	2	no	—
712	#123	—	2	2	no	—
713	#123	—	2	2	no	—
714	#123	—	2	2	no	—
715	C₂²⋊Q₈	—	2	1	no	—
716	C₂²⋊Q₈	—	2	1	no	—
717	C₂²⋊Q₈	—	2	1	no	—
718	C₂²⋊Q₈	—	2	1	no	—
719	C₂²⋊Q₈	—	2	1	no	—
720	C₂²⋊Q₈	—	2	2	no	—
721	C₂²⋊Q₈	—	2	1	no	—
722	C₂²⋊Q₈	—	2	2	no	—
723	C₂²⋊Q₈	—	2	2	no	—
724	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
725	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
726	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
727	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
728	#121	—	2	1	no	—
729	#121	—	2	1	no	—
730	#121	—	2	2	no	—
731	#121	—	2	2	no	—
732	#121	C₂³×C₇	1	2	yes	—
733	#121	C₂³×C₇	1	2	yes	—
734	#120	—	2	2	no	—
735	C₄×Q₈	—	2	1	no	—
736	C₄×Q₈	—	2	2	no	—
737	C₄×Q₈	—	2	2	no	—
738	C₄×Q₈	—	2	1	no	—
739	C₄×Q₈	—	2	1	no	—
740	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
741	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
742	C₄×Q₈	C₂³×C₇	1	2	yes	—
743	C₄×Q₈	C₂³×C₇	1	2	yes	—
744	C₄×Q₈	C₂³×C₇	1	2	yes	—
745	C₄×Q₈	C₂³×C₇	1	2	yes	—
746	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
747	C₄×Q₈	C₂³×C₇	1	2	yes	—
748	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
749	C₄×D₄	—	2	1	no	—
750	C₄×D₄	—	2	2	no	—
751	C₄×D₄	—	2	2	no	—
752	C₄×D₄	—	2	1	no	—
753	C₄×D₄	—	2	1	no	—
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	—	2	2	no	—
756	C₄×D₄	—	2	2	no	—
757	C₄×D₄	—	2	1	no	—
758	C₄×D₄	—	2	1	no	—
759	C₄×D₄	C₇×D₄	1	1	yes	characteristic
760	C₄×D₄	C₇×D₄	1	2	yes	—
761	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
762	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
763	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
764	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
765	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
766	C₄×D₄	C₂³×C₇	1	2	yes	—
767	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
768	C₄×D₄	C₂³×C₇	1	2	yes	—
769	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
770	#117	—	2	1	no	—
771	#117	—	2	1	no	—
772	#117	—	2	1	no	—
773	#117	—	2	1	no	—
774	#117	—	2	1	no	—
775	#117	—	2	2	no	—
776	#117	—	2	2	no	—
777	#117	—	2	2	no	—
778	#117	—	2	2	no	—
779	#117	—	2	1	no	—
780	#117	—	2	2	no	—
781	#117	C₇×D₄	1	1	yes	characteristic
782	#117	C₇×D₄	1	2	yes	—
783	#117	C₂³×C₇	1	1	yes	characteristic
784	#117	C₂³×C₇	1	2	yes	—
785	C₂×C₄⋊C₄	—	2	2	no	—
786	C₂×C₄⋊C₄	—	2	1	no	—
787	C₂×C₄⋊C₄	—	2	1	no	—
788	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
789	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
790	C₂×C₂²⋊C₄	—	2	1	no	—
791	C₂×C₂²⋊C₄	—	2	2	no	—
792	C₂×C₄²	—	2	2	no	—
793	C₂×C₄²	—	2	2	no	—
794	C₂×C₄²	—	2	1	no	—
795	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
796	C₂×C₄²	C₂³×C₇	1	2	yes	—
797	#107	C₂³×C₇	1	1	yes	characteristic
798	#107	C₂³×C₇	1	1	yes	characteristic
799	#107	C₂³×C₇	1	2	yes	—
800	#107	C₂³×C₇	1	2	yes	—
801	#107	C₂³×C₇	1	2	yes	—
802	#106	C₂³×C₇	1	1	yes	characteristic
803	#106	C₂³×C₇	1	1	yes	characteristic
804	#106	C₂³×C₇	1	2	yes	—
805	#106	C₂³×C₇	1	2	yes	—
806	#106	C₂³×C₇	1	2	yes	—
807	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
808	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
809	C₄⋊C₈	C₂³×C₇	1	2	yes	—
810	C₄⋊C₈	C₂³×C₇	1	2	yes	—
811	#103	C₂³×C₇	1	1	yes	characteristic
812	#103	C₂³×C₇	1	1	yes	characteristic
813	#103	C₂³×C₇	1	2	yes	—
814	#103	C₂³×C₇	1	2	yes	—
815	#103	C₂³×C₇	1	2	yes	—
816	#103	C₂³×C₇	1	2	yes	—
817	#103	C₂³×C₇	1	2	yes	—
818	#103	C₂³×C₇	1	2	yes	—
819	#103	C₂³×C₇	1	2	yes	—
820	#103	C₂³×C₇	1	2	yes	—
821	#103	C₂³×C₇	1	2	yes	—
822	#102	C₂³×C₇	1	1	yes	characteristic
823	#102	C₂³×C₇	1	1	yes	characteristic
824	#102	C₂³×C₇	1	1	yes	characteristic
825	#102	C₂³×C₇	1	2	yes	—
826	#102	C₂³×C₇	1	1	yes	characteristic
827	#102	C₂³×C₇	1	1	yes	characteristic
828	#102	C₂³×C₇	1	1	yes	characteristic
829	#102	C₂³×C₇	1	2	yes	—
830	#102	C₂³×C₇	1	2	yes	—
831	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
832	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
833	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
834	#97	C₂³×C₇	1	1	yes	characteristic
835	#97	C₂³×C₇	1	1	yes	characteristic
836	#97	C₂³×C₇	1	2	yes	—
837	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
838	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
839	C₄×C₈	C₂³×C₇	1	2	yes	—
840	C₄×C₈	C₂³×C₇	1	2	yes	—
841	C₂²×C₇	—	2	2	no	—
842	C₂²×C₇	—	2	1	no	—
843	C₂²×C₇	—	2	2	no	—
844	C₂²×C₇	—	2	1	no	—
845	C₂²×C₇	—	2	2	no	—
846	C₂²×C₇	—	2	1	no	—
847	C₂²×C₇	—	2	2	no	—
848	C₂²×C₇	—	4	1	no	—
849	C₂²×C₇	—	4	1	no	—
850	C₂²×C₇	—	4	1	no	—
851	C₂²×C₇	—	4	1	no	—
852	C₂²×C₇	—	4	1	no	—
853	C₂²×C₇	—	4	1	no	—
854	C₂²×C₇	—	4	1	no	—
855	C₂²×C₇	—	4	1	no	—
856	C₂²×C₇	—	8	4	no	—
857	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
858	C₄×C₇	—	2	1	no	—
859	C₄×C₇	—	2	2	no	—
860	C₄×C₇	—	2	1	no	—
861	C₄×C₇	—	2	1	no	—
862	C₄×C₇	—	2	2	no	—
863	C₄×C₇	—	2	2	no	—
864	C₄×C₇	—	2	1	no	—
865	C₄×C₇	—	2	2	no	—
866	C₄×C₇	—	4	1	no	—
867	C₄×C₇	—	4	2	no	—
868	C₄×C₇	—	4	2	no	—
869	C₄×C₇	—	4	2	no	—
870	C₄×C₇	—	4	1	no	—
871	C₄×C₇	—	4	1	no	—
872	C₄×C₇	—	4	1	no	—
873	C₄×C₇	—	4	2	no	—
874	C₄×C₇	#575	1	2	yes	—
875	C₄×C₇	C₂²×#41	1	1	yes	characteristic
876	C₄×C₇	#585	1	1	yes	characteristic
877	C₂⁴	—	2	1	no	—
878	#41	—	2	2	no	—
879	#41	—	2	4	no	—
880	#41	—	4	2	no	—
881	#41	—	4	1	no	—
882	#41	—	4	2	no	—
883	#41	—	4	4	no	—
884	C₂×Q₈	—	2	2	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	4	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
890	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
891	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
892	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	4	1	no	—
900	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
901	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
902	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
903	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
904	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	4	4	no	—
918	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
919	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
920	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
921	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
922	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
923	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
924	Q₁₆	—	2	4	no	—
925	Q₁₆	—	2	4	no	—
926	Q₁₆	—	4	2	no	—
927	SD₁₆	—	2	2	no	—
928	SD₁₆	—	2	4	no	—
929	SD₁₆	—	4	2	no	—
930	SD₁₆	—	4	2	no	—
931	SD₁₆	C₇×#41	1	4	yes	complemented
932	D₈	—	2	2	no	—
933	D₈	—	2	2	no	—
934	M₁₆	—	2	2	no	—
935	M₁₆	—	2	4	no	—
936	M₁₆	—	4	2	no	—
937	M₁₆	—	4	1	no	—
938	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₇	1	2	yes	—
941	C₂×C₈	C₂⁴×C₇	1	2	yes	—
942	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
943	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
968	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
969	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
970	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
975	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
997	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
998	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	C₂×C₇×D₄	1	2	yes	—
1009	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1010	C₄²	C₂×C₇×D₄	1	2	yes	—
1011	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1012	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1013	C₄²	C₂⁴×C₇	1	2	yes	—
1014	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1015	C₂×C₇	—	4	2	no	—
1016	C₂×C₇	—	4	1	no	—
1017	C₂×C₇	—	4	2	no	—
1018	C₂×C₇	—	8	1	no	—
1019	C₂×C₇	—	8	1	no	—
1020	C₂×C₇	D₄×#41	1	1	yes	characteristic
1021	C₂×C₇	C₂×#575	1	1	yes	characteristic
1022	C₂×C₇	#3586	1	1	yes	characteristic
1023	C₂³	—	2	1	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	4	2	no	—
1027	C₂³	—	4	2	no	—
1028	C₂³	—	8	1	no	—
1029	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1030	C₂³	C₂²×C₇×D₄	1	2	yes	—
1031	Q₈	—	2	1	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	2	no	—
1036	Q₈	—	2	2	no	—
1037	Q₈	—	4	4	no	—
1038	Q₈	—	4	2	no	—
1039	Q₈	—	8	1	no	—
1040	Q₈	C₂×C₇×#41	1	2	yes	—
1041	D₄	—	2	1	no	—
1042	D₄	—	2	1	no	—
1043	D₄	—	2	1	no	—
1044	D₄	—	2	1	no	—
1045	D₄	—	2	1	no	—
1046	D₄	—	2	2	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	4	4	no	—
1051	D₄	—	4	4	no	—
1052	D₄	—	8	2	no	—
1053	D₄	C₂×C₇×#41	1	2	yes	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	4	2	no	—
1072	C₂×C₄	—	4	4	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	4	4	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	4	2	no	—
1081	C₂×C₄	—	4	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1084	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1085	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1086	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1087	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1088	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1089	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1090	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1091	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1092	C₈	—	2	1	no	—
1093	C₈	—	2	2	no	—
1094	C₈	—	2	1	no	—
1095	C₈	—	2	2	no	—
1096	C₈	—	2	1	no	—
1097	C₈	C₂×C₇×#41	1	2	yes	—
1098	C₇	#61463	1	1	yes	characteristic, direct product factor, Sylow
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	2	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	2	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	8	4	no	—
1115	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1116	C₄	—	2	1	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	1	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	4	2	no	—
1131	C₄	—	4	2	no	—
1132	C₄	C₇×#575	1	2	yes	—
1133	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1134	C₄	C₇×#585	1	1	yes	characteristic
1135	C₂	—	4	1	no	—
1136	C₂	—	4	2	no	—
1137	C₂	—	4	2	no	—
1138	C₂	—	8	1	no	—
1139	C₂	—	8	1	no	—
1140	C₂	C₇×D₄×#41	1	1	yes	characteristic
1141	C₂	C₂×C₇×#575	1	1	yes	characteristic
1142	C₂	C₇×#3586	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 ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3482	C₂	semidirect
2. C₇×#3475	C₂	semidirect
3. C₇×#3393	C₂	semidirect
4. C₇×#3381	C₂	semidirect
5. C₇×#3364	C₂	semidirect
6. C₇×#3360	C₂	semidirect
7. C₇×#3354	C₂	semidirect
8. C₇×#3352	C₂	semidirect
9. C₇×#3330	C₂	semidirect
10. C₇×#3329	C₂	semidirect
11. C₇×#3327	C₂	semidirect
12. C₇×#3323	C₂	semidirect
13. C₇×#3276	C₂	semidirect
14. C₇×#3275	C₂	semidirect
15. C₇×#3185	C₂	semidirect
16. C₇×#3183	C₂	semidirect
17. C₇×#3117	C₂	semidirect
18. C₇×#3116	C₂	semidirect
19. C₇×#3111	C₂	semidirect
20. C₇×#3110	C₂	semidirect
21. C₇×#2971	C₂	semidirect
22. C₄×C₇×#137	C₂	semidirect
23. C₄×C₇×AGL(1,ℤ/8)	C₂	semidirect
26. C₇×#557	C₂²	semidirect
29. C₇×#556	C₂²	semidirect
38. C₇×D₄×Q₈	C₂²	semidirect
42. C₇×#547	C₂²	semidirect
50. C₇×#529	C₂²	semidirect
56. C₂×C₄×C₇×Q₈	C₂²	semidirect
59. C₇×#499	C₂²	semidirect
60. C₇×#498	C₂²	semidirect
62. C₇×#494	C₂²	semidirect
64. C₇×#488	C₂²	semidirect
65. C₇×#487	C₂²	semidirect
66. C₇×#487	C₂²	semidirect
68. C₇×#485	C₂²	semidirect
70. C₇×#484	C₂²	semidirect
71. C₇×#482	C₂²	semidirect
73. C₇×#479	C₂²	semidirect
74. C₇×#479	C₂²	semidirect
75. C₇×#479	C₂²	semidirect
77. C₇×#477	C₂²	semidirect
78. C₇×#476	C₂²	semidirect
83. C₇×#470	C₂²	semidirect
86. C₇×#468	C₂²	semidirect
89. C₇×#464	C₂²	semidirect
91. C₇×#462	C₂²	semidirect
94. C₇×#461	C₂²	semidirect
97. C₇×#451	C₂²	semidirect
101. C₇×C₈×Q₈	C₂²	semidirect
102. C₇×C₈×Q₈	C₂²	semidirect
105. C₇×#441	C₂²	semidirect
106. C₇×#441	C₂²	semidirect
107. C₇×#441	C₂²	semidirect
112. C₇×#440	C₂²	semidirect
113. C₄×C₇×Q₁₆	C₂²	semidirect
114. C₄×C₇×Q₁₆	C₂²	semidirect
123. C₇×#436	C₂²	semidirect
124. C₇×#436	C₂²	semidirect
126. C₇×#432	C₂²	semidirect
128. C₇×#428	C₂²	semidirect
129. C₇×#419	C₂²	semidirect
134. C₄×C₇×M₁₆	C₂²	semidirect
135. #61463	C₇	direct (N × H)
315. #3482	C₂×C₇	semidirect
316. #3475	C₂×C₇	semidirect
317. #3393	C₂×C₇	semidirect
318. #3381	C₂×C₇	semidirect
319. #3364	C₂×C₇	semidirect
320. #3360	C₂×C₇	semidirect
321. #3354	C₂×C₇	semidirect
322. #3352	C₂×C₇	semidirect
323. #3330	C₂×C₇	semidirect
324. #3329	C₂×C₇	semidirect
325. #3327	C₂×C₇	semidirect
326. #3323	C₂×C₇	semidirect
327. #3276	C₂×C₇	semidirect
328. #3275	C₂×C₇	semidirect
329. #3185	C₂×C₇	semidirect
330. #3183	C₂×C₇	semidirect
331. #3117	C₂×C₇	semidirect
332. #3116	C₂×C₇	semidirect
333. #3111	C₂×C₇	semidirect
334. #3110	C₂×C₇	semidirect
335. #2971	C₂×C₇	semidirect
336. C₄×#137	C₂×C₇	semidirect
337. C₄×AGL(1,ℤ/8)	C₂×C₇	semidirect
392. C₇×SD₁₆	#41	semidirect
478. #557	C₂²×C₇	semidirect
481. #556	C₂²×C₇	semidirect
490. D₄×Q₈	C₂²×C₇	semidirect
494. #547	C₂²×C₇	semidirect
502. #529	C₂²×C₇	semidirect
508. C₂×C₄×Q₈	C₂²×C₇	semidirect
511. #499	C₂²×C₇	semidirect
512. #498	C₂²×C₇	semidirect
514. #494	C₂²×C₇	semidirect
516. #488	C₂²×C₇	semidirect
517. #487	C₂²×C₇	semidirect
518. #487	C₂²×C₇	semidirect
520. #485	C₂²×C₇	semidirect
522. #484	C₂²×C₇	semidirect
523. #482	C₂²×C₇	semidirect
525. #479	C₂²×C₇	semidirect
526. #479	C₂²×C₇	semidirect
527. #479	C₂²×C₇	semidirect
529. #477	C₂²×C₇	semidirect
530. #476	C₂²×C₇	semidirect
535. #470	C₂²×C₇	semidirect
538. #468	C₂²×C₇	semidirect
541. #464	C₂²×C₇	semidirect
543. #462	C₂²×C₇	semidirect
546. #461	C₂²×C₇	semidirect
549. #451	C₂²×C₇	semidirect
553. C₈×Q₈	C₂²×C₇	semidirect
554. C₈×Q₈	C₂²×C₇	semidirect
557. #441	C₂²×C₇	semidirect
558. #441	C₂²×C₇	semidirect
559. #441	C₂²×C₇	semidirect
564. #440	C₂²×C₇	semidirect
565. C₄×Q₁₆	C₂²×C₇	semidirect
566. C₄×Q₁₆	C₂²×C₇	semidirect
575. #436	C₂²×C₇	semidirect
576. #436	C₂²×C₇	semidirect
578. #432	C₂²×C₇	semidirect
580. #428	C₂²×C₇	semidirect
581. #419	C₂²×C₇	semidirect
586. C₄×M₁₆	C₂²×C₇	semidirect
931. SD₁₆	C₇×#41	semidirect
1098. C₇	#61463	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×#3482	2
C₇×#3475	2
C₇×#3393	2
C₇×#3381	2
C₇×#3364	2
C₇×#3360	2
C₇×#3354	2
C₇×#3352	2
C₇×#3330	2
C₇×#3329	2
C₇×#3327	2
C₇×#3323	2
C₇×#3276	2
C₇×#3275	2
C₇×#3185	2
C₇×#3183	2
C₇×#3117	2
C₇×#3116	2
C₇×#3111	2
C₇×#3110	2
C₇×#2971	2
C₄×C₇×#137	2
C₄×C₇×AGL(1,ℤ/8)	2
#61463	7

Subgroups — C7×#61463 #13238679

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61463 #13238679