Subgroups — C₂×C₇×#3541 #13239936

Order 1792.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3541	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₇×#563	C₂	1	2	yes	maximal, complemented
3	C₂×C₇×#562	C₂	1	2	yes	maximal, complemented
4	C₂×C₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₇×#554	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₇×#554	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₇×#553	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₇×D₄×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₇×#548	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₇×#548	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₇×#547	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₇×#542	C₂	1	2	yes	maximal, complemented
16	C₂×C₇×#541	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₇×#539	C₂	1	2	yes	maximal, complemented
18	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
19	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
20	C₂×C₇×#537	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₇×#536	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₇×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
27	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₇×Q₈	C₂²	1	1	yes	characteristic
29	C₂³×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
31	C₇×#563	C₂²	1	32	yes	complemented
32	C₇×#562	C₂²	1	32	yes	complemented
33	C₇×#556	C₂²	1	16	yes	complemented
34	C₇×#554	C₂²	1	16	yes	complemented
35	C₇×#554	C₂²	1	32	yes	complemented
36	C₇×#553	C₂²	1	16	yes	complemented
37	C₇×#553	C₂²	1	32	yes	complemented
38	C₇×#552	C₂²	1	16	yes	complemented
39	C₇×D₄×Q₈	C₂²	1	16	yes	complemented
40	C₇×#548	C₂²	1	16	yes	complemented
41	C₇×#548	C₂²	1	16	yes	complemented
42	C₇×#547	C₂²	1	16	yes	complemented
43	C₇×#542	C₂²	1	16	yes	complemented
44	C₇×#542	C₂²	1	32	yes	complemented
45	C₇×#541	C₂²	1	16	yes	complemented
46	C₇×#539	C₂²	1	32	yes	complemented
47	C₇×#538	C₂²	1	32	yes	complemented
48	C₇×#538	C₂²	1	32	yes	complemented
49	C₇×#537	C₂²	1	16	yes	complemented
50	C₇×#536	C₂²	1	16	yes	complemented
51	C₂×C₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
52	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
54	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₇×#126	C₂²	1	2	yes	—
56	C₂×C₇×#126	C₂²	1	2	yes	—
57	C₂×C₇×#126	C₂²	1	2	yes	—
58	C₂×C₇×#126	C₂²	1	2	yes	—
59	C₂×C₇×#126	C₂²	1	2	yes	complemented
60	C₂×C₇×#126	C₂²	1	2	yes	complemented
61	C₂×C₇×#126	C₂²	1	2	yes	complemented
62	C₂×C₇×#125	C₂²	1	2	yes	complemented
63	C₂×C₇×#125	C₂²	1	2	yes	complemented
64	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₇×#125	C₂²	1	2	yes	complemented
66	C₂×C₇×#125	C₂²	1	2	yes	complemented
67	C₂×C₇×#124	C₂²	1	2	yes	—
68	C₂×C₇×#124	C₂²	1	2	yes	—
69	C₂×C₇×#124	C₂²	1	2	yes	—
70	C₂×C₇×#124	C₂²	1	2	yes	—
71	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₇×#124	C₂²	1	2	yes	complemented
73	C₇×#525	C₂²	1	16	yes	complemented
74	C₇×#525	C₂²	1	16	yes	complemented
75	C₂×C₇×#123	C₂²	1	1	yes	characteristic
76	C₂×C₇×#123	C₂²	1	1	yes	characteristic
77	C₂×C₇×#123	C₂²	1	2	yes	—
78	C₂×C₇×#123	C₂²	1	2	yes	—
79	C₂×C₇×#123	C₂²	1	2	yes	—
80	C₂×C₇×#123	C₂²	1	2	yes	—
81	C₂×C₇×#123	C₂²	1	2	yes	—
82	C₂×C₇×#123	C₂²	1	2	yes	complemented
83	C₂×C₇×#123	C₂²	1	2	yes	complemented
84	C₂×C₇×#123	C₂²	1	2	yes	complemented
85	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
86	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
87	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
88	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
89	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
90	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
91	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
92	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
93	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
94	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
95	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
96	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
97	C₂×C₇×C₂²⋊Q₈	C₂²	1	16	yes	complemented
98	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
102	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
103	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
104	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
105	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
106	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
107	C₂×C₇×#121	C₂²	1	1	yes	characteristic
108	C₂×C₇×#121	C₂²	1	1	yes	characteristic
109	C₂×C₇×#121	C₂²	1	1	yes	characteristic
110	C₂×C₇×#121	C₂²	1	1	yes	characteristic
111	C₂×C₇×#121	C₂²	1	2	yes	—
112	C₂×C₇×#121	C₂²	1	2	yes	—
113	C₂×C₇×#121	C₂²	1	2	yes	—
114	C₂×C₇×#121	C₂²	1	2	yes	—
115	C₂×C₇×#121	C₂²	1	2	yes	—
116	C₂×C₇×#121	C₂²	1	2	yes	—
117	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₇×#121	C₂²	1	2	yes	complemented
119	C₂×C₇×#120	C₂²	1	1	yes	characteristic
120	C₂×C₇×#120	C₂²	1	2	yes	—
121	C₂×C₇×#120	C₂²	1	1	yes	characteristic
122	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
126	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
127	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
128	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
129	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
130	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
131	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
132	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
133	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
134	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
135	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
136	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
137	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₇×#117	C₂²	1	1	yes	characteristic
139	C₂×C₇×#117	C₂²	1	1	yes	characteristic
140	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₇×#117	C₂²	1	2	yes	complemented
142	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
143	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	—
144	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
146	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
147	C₂×#3541	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
148	C₂⁵×C₇	C₂³	1	1	yes	characteristic
149	C₂×C₇×#41	—	4	4	no	—
150	C₂×C₇×#41	—	4	4	no	—
151	C₂×C₇×#41	—	4	4	no	—
152	C₂×C₇×#41	C₂³	1	8	yes	—
153	C₂×C₇×#41	C₂³	1	8	yes	—
154	C₂×C₇×#41	C₂³	1	8	yes	complemented
155	C₂²×C₇×Q₈	—	4	4	no	—
156	C₂²×C₇×Q₈	—	4	4	no	—
157	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
158	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
159	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
160	C₂²×C₇×Q₈	C₂³	1	2	yes	—
161	C₂²×C₇×Q₈	C₂³	1	8	yes	—
162	C₂²×C₇×Q₈	C₂³	1	2	yes	—
163	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
164	C₂²×C₇×Q₈	C₂³	1	2	yes	—
165	C₂²×C₇×Q₈	C₂³	1	8	yes	complemented
166	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
167	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
168	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
169	C₂²×C₇×D₄	C₂³	1	2	yes	—
170	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
171	C₂²×C₇×D₄	C₂³	1	2	yes	—
172	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
173	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
174	C₂²×C₇×D₄	C₂³	1	2	yes	—
175	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
176	C₂²×C₇×D₄	C₂³	1	2	yes	—
177	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
178	C₂²×C₇×D₄	C₂³	1	2	yes	—
179	C₂³×C₄×C₇	—	4	4	no	—
180	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
181	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
182	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
183	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
184	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
185	C₂³×C₄×C₇	C₂³	1	2	yes	—
186	C₂³×C₄×C₇	C₂³	1	2	yes	—
187	C₂³×C₄×C₇	C₂³	1	2	yes	—
188	C₂³×C₄×C₇	C₂³	1	2	yes	—
189	C₂³×C₄×C₇	C₂³	1	2	yes	—
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₇	C₂³	1	2	yes	—
192	C₂³×C₄×C₇	C₂³	1	2	yes	—
193	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₇	C₂³	1	8	yes	—
196	C₇×C₄⋊Q₈	C₂³	1	16	yes	complemented
197	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
198	C₇×C₄⋊Q₈	C₂³	1	16	yes	complemented
199	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
200	C₇×#126	C₂³	1	16	yes	—
201	C₇×#126	C₂³	1	16	yes	—
202	C₇×#126	C₂³	1	16	yes	—
203	C₇×#126	C₂³	1	16	yes	—
204	C₇×#126	C₂³	1	16	yes	complemented
205	C₇×#126	C₂³	1	16	yes	complemented
206	C₇×#126	C₂³	1	16	yes	complemented
207	C₇×#125	C₂³	1	16	yes	complemented
208	C₇×#125	C₂³	1	16	yes	complemented
209	C₇×#125	C₂³	1	8	yes	complemented
210	C₇×#125	C₂³	1	16	yes	complemented
211	C₇×#125	C₂³	1	16	yes	complemented
212	C₇×#124	C₂³	1	16	yes	—
213	C₇×#124	C₂³	1	16	yes	—
214	C₇×#124	C₂³	1	16	yes	—
215	C₇×#124	C₂³	1	16	yes	—
216	C₇×#124	C₂³	1	8	yes	complemented
217	C₇×#124	C₂³	1	16	yes	complemented
218	C₇×#123	C₂³	1	8	yes	—
219	C₇×#123	C₂³	1	8	yes	—
220	C₇×#123	C₂³	1	16	yes	—
221	C₇×#123	C₂³	1	16	yes	—
222	C₇×#123	C₂³	1	16	yes	—
223	C₇×#123	C₂³	1	16	yes	—
224	C₇×#123	C₂³	1	16	yes	—
225	C₇×#123	C₂³	1	16	yes	complemented
226	C₇×#123	C₂³	1	16	yes	complemented
227	C₇×#123	C₂³	1	16	yes	complemented
228	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
229	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
230	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
231	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
232	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
233	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
234	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
235	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
236	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
237	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
238	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
239	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
240	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
241	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
242	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
243	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
244	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
245	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
246	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
247	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
248	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
249	C₇×#121	C₂³	1	8	yes	—
250	C₇×#121	C₂³	1	8	yes	—
251	C₇×#121	C₂³	1	8	yes	—
252	C₇×#121	C₂³	1	8	yes	—
253	C₇×#121	C₂³	1	16	yes	—
254	C₇×#121	C₂³	1	16	yes	—
255	C₇×#121	C₂³	1	16	yes	—
256	C₇×#121	C₂³	1	16	yes	—
257	C₇×#121	C₂³	1	16	yes	—
258	C₇×#121	C₂³	1	16	yes	—
259	C₇×#121	C₂³	1	8	yes	complemented
260	C₇×#121	C₂³	1	16	yes	complemented
261	C₇×#120	C₂³	1	8	yes	—
262	C₇×#120	C₂³	1	16	yes	—
263	C₇×#120	C₂³	1	8	yes	—
264	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
265	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
266	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
267	C₄×C₇×Q₈	C₂³	1	16	yes	complemented
268	C₄×C₇×D₄	C₂³	1	16	yes	—
269	C₄×C₇×D₄	C₂³	1	8	yes	—
270	C₄×C₇×D₄	C₂³	1	8	yes	—
271	C₄×C₇×D₄	C₂³	1	8	yes	—
272	C₄×C₇×D₄	C₂³	1	8	yes	—
273	C₄×C₇×D₄	C₂³	1	16	yes	—
274	C₄×C₇×D₄	C₂³	1	16	yes	—
275	C₄×C₇×D₄	C₂³	1	16	yes	—
276	C₄×C₇×D₄	C₂³	1	16	yes	—
277	C₄×C₇×D₄	C₂³	1	16	yes	—
278	C₄×C₇×D₄	C₂³	1	16	yes	complemented
279	C₄×C₇×D₄	C₂³	1	8	yes	complemented
280	C₇×#117	C₂³	1	8	yes	—
281	C₇×#117	C₂³	1	8	yes	—
282	C₇×#117	C₂³	1	8	yes	complemented
283	C₇×#117	C₂³	1	16	yes	complemented
284	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
286	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
287	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
289	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
290	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
292	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	—
293	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
296	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
297	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
298	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
302	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
305	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
308	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
309	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
310	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
311	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
312	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
313	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
314	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
315	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
316	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
317	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
318	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
319	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
322	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
334	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
336	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
337	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
338	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
341	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
342	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
343	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
344	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
345	C₂×C₄²×C₇	C₂³	1	2	yes	—
346	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇	C₂³	1	2	yes	—
349	C₂×C₄²×C₇	C₂³	1	2	yes	—
350	C₂×C₄²×C₇	C₂³	1	2	yes	—
351	C₂×C₄²×C₇	C₂³	1	2	yes	—
352	#3541	C₂×C₇	1	32	yes	direct product factor
353	C₂×#563	C₂×C₇	1	2	yes	complemented
354	C₂×#562	C₂×C₇	1	2	yes	complemented
355	C₂×#556	C₂×C₇	1	1	yes	characteristic, complemented
356	C₂×#554	C₂×C₇	1	1	yes	characteristic, complemented
357	C₂×#554	C₂×C₇	1	2	yes	complemented
358	C₂×#553	C₂×C₇	1	1	yes	characteristic, complemented
359	C₂×#553	C₂×C₇	1	2	yes	complemented
360	C₂×#552	C₂×C₇	1	1	yes	characteristic, complemented
361	C₂×D₄×Q₈	C₂×C₇	1	1	yes	characteristic, complemented
362	C₂×#548	C₂×C₇	1	1	yes	characteristic, complemented
363	C₂×#548	C₂×C₇	1	1	yes	characteristic, complemented
364	C₂×#547	C₂×C₇	1	1	yes	characteristic, complemented
365	C₂×#542	C₂×C₇	1	1	yes	characteristic, complemented
366	C₂×#542	C₂×C₇	1	2	yes	complemented
367	C₂×#541	C₂×C₇	1	1	yes	characteristic, complemented
368	C₂×#539	C₂×C₇	1	2	yes	complemented
369	C₂×#538	C₂×C₇	1	2	yes	complemented
370	C₂×#538	C₂×C₇	1	2	yes	complemented
371	C₂×#537	C₂×C₇	1	1	yes	characteristic, complemented
372	C₂×#536	C₂×C₇	1	1	yes	characteristic, complemented
373	C₂×#525	C₂×C₇	1	1	yes	characteristic, complemented
374	C₂×#525	C₂×C₇	1	1	yes	characteristic, complemented
375	C₂²×C₂²⋊Q₈	C₂×C₇	1	1	yes	characteristic, complemented
376	C₂⁴×C₇	—	2	4	no	—
377	C₂⁴×C₇	—	4	2	no	—
378	C₂⁴×C₇	—	4	2	no	—
379	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
383	C₂⁴×C₇	C₂⁴	1	2	yes	—
384	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₇	C₂⁴	1	4	yes	—
386	C₇×#41	—	4	16	no	—
387	C₇×#41	—	4	16	no	—
388	C₇×#41	—	4	16	no	—
389	C₂×C₇×Q₈	—	2	4	no	—
390	C₂×C₇×Q₈	—	2	4	no	—
391	C₂×C₇×Q₈	—	2	4	no	—
392	C₂×C₇×Q₈	—	4	4	no	—
393	C₂×C₇×Q₈	—	4	4	no	—
394	C₂×C₇×Q₈	—	4	4	no	—
395	C₂×C₇×Q₈	—	4	2	no	—
396	C₂×C₇×Q₈	—	4	16	no	—
397	C₂×C₇×Q₈	—	4	16	no	—
398	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
399	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
400	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
401	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
402	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
403	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
404	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
405	C₂×C₇×D₄	—	2	4	no	—
406	C₂×C₇×D₄	—	2	4	no	—
407	C₂×C₇×D₄	—	2	8	no	—
408	C₂×C₇×D₄	—	2	4	no	—
409	C₂×C₇×D₄	—	4	2	no	—
410	C₂×C₇×D₄	—	4	4	no	—
411	C₂×C₇×D₄	—	4	4	no	—
412	C₂×C₇×D₄	—	4	2	no	—
413	C₂×C₇×D₄	—	4	2	no	—
414	C₂×C₇×D₄	—	4	2	no	—
415	C₂×C₇×D₄	—	4	2	no	—
416	C₂×C₇×D₄	—	4	4	no	—
417	C₂×C₇×D₄	—	4	4	no	—
418	C₂×C₇×D₄	C₂⁴	1	4	yes	—
419	C₂×C₇×D₄	C₂⁴	1	4	yes	—
420	C₂×C₇×D₄	C₂⁴	1	8	yes	—
421	C₂×C₇×D₄	C₂⁴	1	4	yes	—
422	C₂×C₇×D₄	C₂⁴	1	4	yes	—
423	C₂×C₇×D₄	C₂⁴	1	8	yes	—
424	C₂×C₇×D₄	C₂⁴	1	4	yes	—
425	C₂×C₇×D₄	C₂⁴	1	8	yes	—
426	C₂×C₇×D₄	C₂⁴	1	4	yes	—
427	C₂×C₇×D₄	C₂⁴	1	8	yes	—
428	C₂×C₇×D₄	C₂⁴	1	4	yes	—
429	C₂×C₇×D₄	C₂⁴	1	8	yes	—
430	C₂×C₇×D₄	C₂⁴	1	4	yes	—
431	C₂²×C₄×C₇	—	2	4	no	—
432	C₂²×C₄×C₇	—	2	4	no	—
433	C₂²×C₄×C₇	—	2	4	no	—
434	C₂²×C₄×C₇	—	2	4	no	—
435	C₂²×C₄×C₇	—	2	4	no	—
436	C₂²×C₄×C₇	—	4	16	no	—
437	C₂²×C₄×C₇	—	4	2	no	—
438	C₂²×C₄×C₇	—	4	2	no	—
439	C₂²×C₄×C₇	—	4	2	no	—
440	C₂²×C₄×C₇	—	4	4	no	—
441	C₂²×C₄×C₇	—	4	4	no	—
442	C₂²×C₄×C₇	—	4	4	no	—
443	C₂²×C₄×C₇	—	4	4	no	—
444	C₂²×C₄×C₇	—	4	4	no	—
445	C₂²×C₄×C₇	—	4	4	no	—
446	C₂²×C₄×C₇	—	4	4	no	—
447	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
448	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
449	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
450	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
451	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
452	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
453	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
457	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
460	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
461	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
463	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
464	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
465	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
469	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
470	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
471	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
472	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
473	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
474	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
475	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
476	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
477	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
478	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
479	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
480	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
481	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
482	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
483	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
484	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
485	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
486	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
487	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
488	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
489	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
490	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
491	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
492	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
493	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
494	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
495	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
496	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
497	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
498	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
499	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
500	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
501	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
502	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
503	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
504	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
505	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
506	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
507	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
508	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
510	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
511	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
512	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
513	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
514	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
515	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
516	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
517	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
518	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
519	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
520	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
521	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
522	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
523	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
524	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
526	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
527	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
528	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
529	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
530	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
531	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
532	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
533	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
534	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
535	C₄²×C₇	C₂⁴	1	8	yes	—
536	C₄²×C₇	C₂⁴	1	4	yes	—
537	C₄²×C₇	C₂⁴	1	4	yes	—
538	C₄²×C₇	C₂⁴	1	8	yes	—
539	C₄²×C₇	C₂⁴	1	8	yes	—
540	C₄²×C₇	C₂⁴	1	8	yes	—
541	C₄²×C₇	C₂⁴	1	8	yes	—
542	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
543	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
544	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
545	C₂³×Q₈	C₂²×C₇	1	1	yes	characteristic
546	C₂³×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
547	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
548	#563	C₂²×C₇	1	32	yes	complemented
549	#562	C₂²×C₇	1	32	yes	complemented
550	#556	C₂²×C₇	1	16	yes	complemented
551	#554	C₂²×C₇	1	16	yes	complemented
552	#554	C₂²×C₇	1	32	yes	complemented
553	#553	C₂²×C₇	1	16	yes	complemented
554	#553	C₂²×C₇	1	32	yes	complemented
555	#552	C₂²×C₇	1	16	yes	complemented
556	D₄×Q₈	C₂²×C₇	1	16	yes	complemented
557	#548	C₂²×C₇	1	16	yes	complemented
558	#548	C₂²×C₇	1	16	yes	complemented
559	#547	C₂²×C₇	1	16	yes	complemented
560	#542	C₂²×C₇	1	16	yes	complemented
561	#542	C₂²×C₇	1	32	yes	complemented
562	#541	C₂²×C₇	1	16	yes	complemented
563	#539	C₂²×C₇	1	32	yes	complemented
564	#538	C₂²×C₇	1	32	yes	complemented
565	#538	C₂²×C₇	1	32	yes	complemented
566	#537	C₂²×C₇	1	16	yes	complemented
567	#536	C₂²×C₇	1	16	yes	complemented
568	C₂×C₄⋊Q₈	C₂²×C₇	1	2	yes	complemented
569	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
570	C₂×C₄⋊Q₈	C₂²×C₇	1	2	yes	complemented
571	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
572	C₂×#126	C₂²×C₇	1	2	yes	—
573	C₂×#126	C₂²×C₇	1	2	yes	—
574	C₂×#126	C₂²×C₇	1	2	yes	—
575	C₂×#126	C₂²×C₇	1	2	yes	—
576	C₂×#126	C₂²×C₇	1	2	yes	complemented
577	C₂×#126	C₂²×C₇	1	2	yes	complemented
578	C₂×#126	C₂²×C₇	1	2	yes	complemented
579	C₂×#125	C₂²×C₇	1	2	yes	complemented
580	C₂×#125	C₂²×C₇	1	2	yes	complemented
581	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
582	C₂×#125	C₂²×C₇	1	2	yes	complemented
583	C₂×#125	C₂²×C₇	1	2	yes	complemented
584	C₂×#124	C₂²×C₇	1	2	yes	—
585	C₂×#124	C₂²×C₇	1	2	yes	—
586	C₂×#124	C₂²×C₇	1	2	yes	—
587	C₂×#124	C₂²×C₇	1	2	yes	—
588	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
589	C₂×#124	C₂²×C₇	1	2	yes	complemented
590	#525	C₂²×C₇	1	16	yes	complemented
591	#525	C₂²×C₇	1	16	yes	complemented
592	C₂×#123	C₂²×C₇	1	1	yes	characteristic
593	C₂×#123	C₂²×C₇	1	1	yes	characteristic
594	C₂×#123	C₂²×C₇	1	2	yes	—
595	C₂×#123	C₂²×C₇	1	2	yes	—
596	C₂×#123	C₂²×C₇	1	2	yes	—
597	C₂×#123	C₂²×C₇	1	2	yes	—
598	C₂×#123	C₂²×C₇	1	2	yes	—
599	C₂×#123	C₂²×C₇	1	2	yes	complemented
600	C₂×#123	C₂²×C₇	1	2	yes	complemented
601	C₂×#123	C₂²×C₇	1	2	yes	complemented
602	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
603	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
604	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
605	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
606	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
607	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
608	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
609	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
610	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
611	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
612	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
613	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
614	C₂×C₂²⋊Q₈	C₂²×C₇	1	16	yes	complemented
615	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
616	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
617	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
618	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
619	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
620	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
621	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
622	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
623	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
624	C₂×#121	C₂²×C₇	1	1	yes	characteristic
625	C₂×#121	C₂²×C₇	1	1	yes	characteristic
626	C₂×#121	C₂²×C₇	1	1	yes	characteristic
627	C₂×#121	C₂²×C₇	1	1	yes	characteristic
628	C₂×#121	C₂²×C₇	1	2	yes	—
629	C₂×#121	C₂²×C₇	1	2	yes	—
630	C₂×#121	C₂²×C₇	1	2	yes	—
631	C₂×#121	C₂²×C₇	1	2	yes	—
632	C₂×#121	C₂²×C₇	1	2	yes	—
633	C₂×#121	C₂²×C₇	1	2	yes	—
634	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
635	C₂×#121	C₂²×C₇	1	2	yes	complemented
636	C₂×#120	C₂²×C₇	1	1	yes	characteristic
637	C₂×#120	C₂²×C₇	1	2	yes	—
638	C₂×#120	C₂²×C₇	1	1	yes	characteristic
639	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
640	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
641	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
642	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
643	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
644	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
645	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
646	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
647	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
648	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
649	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
650	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
651	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
652	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
653	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
654	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
655	C₂×#117	C₂²×C₇	1	1	yes	characteristic
656	C₂×#117	C₂²×C₇	1	1	yes	characteristic
657	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
658	C₂×#117	C₂²×C₇	1	2	yes	complemented
659	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
660	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	—
661	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
662	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
663	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
664	C₂³×C₇	—	2	2	no	—
665	C₂³×C₇	—	2	2	no	—
666	C₂³×C₇	—	2	2	no	—
667	C₂³×C₇	—	2	2	no	—
668	C₂³×C₇	—	2	2	no	—
669	C₂³×C₇	—	2	2	no	—
670	C₂³×C₇	—	2	4	no	—
671	C₂³×C₇	—	2	2	no	—
672	C₂³×C₇	—	2	2	no	—
673	C₂³×C₇	—	2	4	no	—
674	C₂³×C₇	—	2	8	no	—
675	C₂³×C₇	—	2	2	no	—
676	C₂³×C₇	—	2	2	no	—
677	C₂³×C₇	—	2	2	no	—
678	C₂³×C₇	—	2	4	no	—
679	C₂³×C₇	—	2	2	no	—
680	C₂³×C₇	—	2	2	no	—
681	C₂³×C₇	—	2	2	no	—
682	C₂³×C₇	—	4	4	no	—
683	C₂³×C₇	—	4	4	no	—
684	C₂³×C₇	—	4	16	no	—
685	C₂³×C₇	2₋¹⁺⁴	1	4	yes	—
686	C₂³×C₇	C₂⁵	1	2	yes	—
687	C₂³×C₇	C₂⁵	1	2	yes	—
688	C₂³×C₇	C₂⁵	1	2	yes	—
689	C₂³×C₇	C₂⁵	1	2	yes	—
690	C₂³×C₇	C₂⁵	1	4	yes	—
691	C₂³×C₇	C₂⁵	1	2	yes	—
692	C₂³×C₇	C₂⁵	1	1	yes	characteristic
693	C₇×Q₈	—	2	8	no	—
694	C₇×Q₈	—	2	8	no	—
695	C₇×Q₈	—	2	8	no	—
696	C₇×Q₈	—	4	8	no	—
697	C₇×Q₈	—	4	8	no	—
698	C₇×Q₈	—	4	8	no	—
699	C₇×Q₈	—	4	4	no	—
700	C₇×D₄	—	2	8	no	—
701	C₇×D₄	—	2	8	no	—
702	C₇×D₄	—	2	16	no	—
703	C₇×D₄	—	2	8	no	—
704	C₇×D₄	—	4	4	no	—
705	C₇×D₄	—	4	8	no	—
706	C₇×D₄	—	4	8	no	—
707	C₇×D₄	—	4	4	no	—
708	C₇×D₄	—	4	4	no	—
709	C₇×D₄	—	4	4	no	—
710	C₇×D₄	—	4	4	no	—
711	C₇×D₄	—	4	8	no	—
712	C₇×D₄	—	4	8	no	—
713	C₂×C₄×C₇	—	2	2	no	—
714	C₂×C₄×C₇	—	2	2	no	—
715	C₂×C₄×C₇	—	2	2	no	—
716	C₂×C₄×C₇	—	2	2	no	—
717	C₂×C₄×C₇	—	2	2	no	—
718	C₂×C₄×C₇	—	2	4	no	—
719	C₂×C₄×C₇	—	2	4	no	—
720	C₂×C₄×C₇	—	2	4	no	—
721	C₂×C₄×C₇	—	2	4	no	—
722	C₂×C₄×C₇	—	2	2	no	—
723	C₂×C₄×C₇	—	2	2	no	—
724	C₂×C₄×C₇	—	2	4	no	—
725	C₂×C₄×C₇	—	2	2	no	—
726	C₂×C₄×C₇	—	2	4	no	—
727	C₂×C₄×C₇	—	2	4	no	—
728	C₂×C₄×C₇	—	2	2	no	—
729	C₂×C₄×C₇	—	2	8	no	—
730	C₂×C₄×C₇	—	2	8	no	—
731	C₂×C₄×C₇	—	2	8	no	—
732	C₂×C₄×C₇	—	2	8	no	—
733	C₂×C₄×C₇	—	2	8	no	—
734	C₂×C₄×C₇	—	4	4	no	—
735	C₂×C₄×C₇	—	4	4	no	—
736	C₂×C₄×C₇	—	4	4	no	—
737	C₂×C₄×C₇	—	4	8	no	—
738	C₂×C₄×C₇	—	4	8	no	—
739	C₂×C₄×C₇	—	4	8	no	—
740	C₂×C₄×C₇	—	4	8	no	—
741	C₂×C₄×C₇	—	4	8	no	—
742	C₂×C₄×C₇	—	4	8	no	—
743	C₂×C₄×C₇	—	4	8	no	—
744	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
745	C₂×C₄×C₇	C₂⁵	1	4	yes	—
746	C₂×C₄×C₇	C₂⁵	1	2	yes	—
747	C₂×C₄×C₇	C₂⁵	1	2	yes	—
748	C₂×C₄×C₇	C₂⁵	1	2	yes	—
749	C₂×C₄×C₇	C₂⁵	1	4	yes	—
750	C₂×C₄×C₇	C₂⁵	1	2	yes	—
751	C₂×C₄×C₇	C₂⁵	1	2	yes	—
752	C₂×C₄×C₇	C₂⁵	1	4	yes	—
753	C₂×C₄×C₇	C₂⁵	1	4	yes	—
754	C₂×C₄×C₇	C₂⁵	1	2	yes	—
755	C₂×C₄×C₇	C₂⁵	1	4	yes	—
756	C₂×C₄×C₇	C₂⁵	1	4	yes	—
757	C₂×C₄×C₇	C₂⁵	1	4	yes	—
758	C₂×C₄×C₇	C₂⁵	1	2	yes	—
759	C₂×C₄×C₇	C₂⁵	1	2	yes	—
760	C₂×C₄×C₇	C₂⁵	1	2	yes	—
761	C₂×C₄×C₇	C₂⁵	1	2	yes	—
762	C₂⁵	C₂³×C₇	1	1	yes	characteristic
763	C₂×#41	—	4	4	no	—
764	C₂×#41	—	4	4	no	—
765	C₂×#41	—	4	4	no	—
766	C₂×#41	C₂³×C₇	1	8	yes	—
767	C₂×#41	C₂³×C₇	1	8	yes	—
768	C₂×#41	C₂³×C₇	1	8	yes	complemented
769	C₂²×Q₈	—	4	4	no	—
770	C₂²×Q₈	—	4	4	no	—
771	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
772	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
773	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
774	C₂²×Q₈	C₂³×C₇	1	2	yes	—
775	C₂²×Q₈	C₂³×C₇	1	2	yes	—
776	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
777	C₂²×Q₈	C₂³×C₇	1	2	yes	—
778	C₂²×Q₈	C₂³×C₇	1	8	yes	—
779	C₂²×Q₈	C₂³×C₇	1	8	yes	complemented
780	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
781	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
782	C₂²×D₄	C₂³×C₇	1	2	yes	—
783	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
784	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
785	C₂²×D₄	C₂³×C₇	1	2	yes	—
786	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
787	C₂²×D₄	C₂³×C₇	1	2	yes	—
788	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
789	C₂²×D₄	C₂³×C₇	1	2	yes	—
790	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
791	C₂²×D₄	C₂³×C₇	1	2	yes	—
792	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
793	C₂³×C₄	—	4	4	no	—
794	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
795	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
796	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
797	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
798	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
799	C₂³×C₄	C₂³×C₇	1	2	yes	—
800	C₂³×C₄	C₂³×C₇	1	2	yes	—
801	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
802	C₂³×C₄	C₂³×C₇	1	2	yes	—
803	C₂³×C₄	C₂³×C₇	1	2	yes	—
804	C₂³×C₄	C₂³×C₇	1	2	yes	—
805	C₂³×C₄	C₂³×C₇	1	2	yes	—
806	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
807	C₂³×C₄	C₂³×C₇	1	2	yes	—
808	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
809	C₂³×C₄	C₂³×C₇	1	8	yes	—
810	C₄⋊Q₈	C₂³×C₇	1	16	yes	complemented
811	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
812	C₄⋊Q₈	C₂³×C₇	1	16	yes	complemented
813	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
814	#126	C₂³×C₇	1	16	yes	—
815	#126	C₂³×C₇	1	16	yes	—
816	#126	C₂³×C₇	1	16	yes	—
817	#126	C₂³×C₇	1	16	yes	—
818	#126	C₂³×C₇	1	16	yes	complemented
819	#126	C₂³×C₇	1	16	yes	complemented
820	#126	C₂³×C₇	1	16	yes	complemented
821	#125	C₂³×C₇	1	16	yes	complemented
822	#125	C₂³×C₇	1	16	yes	complemented
823	#125	C₂³×C₇	1	8	yes	complemented
824	#125	C₂³×C₇	1	16	yes	complemented
825	#125	C₂³×C₇	1	16	yes	complemented
826	#124	C₂³×C₇	1	16	yes	—
827	#124	C₂³×C₇	1	16	yes	—
828	#124	C₂³×C₇	1	16	yes	—
829	#124	C₂³×C₇	1	16	yes	—
830	#124	C₂³×C₇	1	8	yes	complemented
831	#124	C₂³×C₇	1	16	yes	complemented
832	#123	C₂³×C₇	1	8	yes	—
833	#123	C₂³×C₇	1	8	yes	—
834	#123	C₂³×C₇	1	16	yes	—
835	#123	C₂³×C₇	1	16	yes	—
836	#123	C₂³×C₇	1	16	yes	—
837	#123	C₂³×C₇	1	16	yes	—
838	#123	C₂³×C₇	1	16	yes	—
839	#123	C₂³×C₇	1	16	yes	complemented
840	#123	C₂³×C₇	1	16	yes	complemented
841	#123	C₂³×C₇	1	16	yes	complemented
842	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
843	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
844	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
845	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
846	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
847	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
848	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
849	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
850	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
851	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
852	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
853	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
854	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
855	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
856	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
857	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
858	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
859	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
860	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
861	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
862	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
863	#121	C₂³×C₇	1	8	yes	—
864	#121	C₂³×C₇	1	8	yes	—
865	#121	C₂³×C₇	1	8	yes	—
866	#121	C₂³×C₇	1	8	yes	—
867	#121	C₂³×C₇	1	16	yes	—
868	#121	C₂³×C₇	1	16	yes	—
869	#121	C₂³×C₇	1	16	yes	—
870	#121	C₂³×C₇	1	16	yes	—
871	#121	C₂³×C₇	1	16	yes	—
872	#121	C₂³×C₇	1	16	yes	—
873	#121	C₂³×C₇	1	8	yes	complemented
874	#121	C₂³×C₇	1	16	yes	complemented
875	#120	C₂³×C₇	1	8	yes	—
876	#120	C₂³×C₇	1	16	yes	—
877	#120	C₂³×C₇	1	8	yes	—
878	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
879	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
880	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
881	C₄×Q₈	C₂³×C₇	1	16	yes	complemented
882	C₄×D₄	C₂³×C₇	1	16	yes	—
883	C₄×D₄	C₂³×C₇	1	8	yes	—
884	C₄×D₄	C₂³×C₇	1	8	yes	—
885	C₄×D₄	C₂³×C₇	1	8	yes	—
886	C₄×D₄	C₂³×C₇	1	8	yes	—
887	C₄×D₄	C₂³×C₇	1	16	yes	—
888	C₄×D₄	C₂³×C₇	1	16	yes	—
889	C₄×D₄	C₂³×C₇	1	16	yes	—
890	C₄×D₄	C₂³×C₇	1	16	yes	—
891	C₄×D₄	C₂³×C₇	1	16	yes	—
892	C₄×D₄	C₂³×C₇	1	16	yes	complemented
893	C₄×D₄	C₂³×C₇	1	8	yes	complemented
894	#117	C₂³×C₇	1	8	yes	—
895	#117	C₂³×C₇	1	8	yes	—
896	#117	C₂³×C₇	1	8	yes	complemented
897	#117	C₂³×C₇	1	16	yes	complemented
898	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
900	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
901	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
903	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
904	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
905	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
906	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	—
907	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
910	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
911	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
912	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
916	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
919	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
920	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
922	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
923	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
924	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
925	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
926	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
927	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
928	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
929	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
930	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
931	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
932	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
933	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
934	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
935	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
936	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
938	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
941	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
942	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
944	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
948	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
949	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
950	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
951	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
952	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
955	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
956	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
957	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
958	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
959	C₂×C₄²	C₂³×C₇	1	2	yes	—
960	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
961	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
962	C₂×C₄²	C₂³×C₇	1	2	yes	—
963	C₂×C₄²	C₂³×C₇	1	2	yes	—
964	C₂×C₄²	C₂³×C₇	1	2	yes	—
965	C₂×C₄²	C₂³×C₇	1	2	yes	—
966	C₂²×C₇	—	2	2	no	—
967	C₂²×C₇	—	2	2	no	—
968	C₂²×C₇	—	2	8	no	—
969	C₂²×C₇	—	2	2	no	—
970	C₂²×C₇	—	2	2	no	—
971	C₂²×C₇	—	2	2	no	—
972	C₂²×C₇	—	2	2	no	—
973	C₂²×C₇	—	2	4	no	—
974	C₂²×C₇	—	2	2	no	—
975	C₂²×C₇	—	2	2	no	—
976	C₂²×C₇	—	2	4	no	—
977	C₂²×C₇	—	2	2	no	—
978	C₂²×C₇	—	2	2	no	—
979	C₂²×C₇	—	2	2	no	—
980	C₂²×C₇	—	2	4	no	—
981	C₂²×C₇	—	2	2	no	—
982	C₂²×C₇	—	2	2	no	—
983	C₂²×C₇	—	2	2	no	—
984	C₂²×C₇	—	4	16	no	—
985	C₂²×C₇	—	4	4	no	—
986	C₂²×C₇	—	4	4	no	—
987	C₂²×C₇	—	4	8	no	—
988	C₂²×C₇	—	4	4	no	—
989	C₂²×C₇	—	4	4	no	—
990	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
991	C₂²×C₇	C₂×2₋¹⁺⁴	1	4	yes	—
992	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
993	C₂²×C₇	#585	1	2	yes	—
994	C₂²×C₇	C₂⁶	1	1	yes	characteristic
995	C₄×C₇	—	2	2	no	—
996	C₄×C₇	—	2	2	no	—
997	C₄×C₇	—	2	2	no	—
998	C₄×C₇	—	2	2	no	—
999	C₄×C₇	—	2	2	no	—
1000	C₄×C₇	—	2	4	no	—
1001	C₄×C₇	—	2	4	no	—
1002	C₄×C₇	—	2	4	no	—
1003	C₄×C₇	—	2	4	no	—
1004	C₄×C₇	—	2	2	no	—
1005	C₄×C₇	—	2	2	no	—
1006	C₄×C₇	—	2	4	no	—
1007	C₄×C₇	—	2	2	no	—
1008	C₄×C₇	—	2	4	no	—
1009	C₄×C₇	—	2	4	no	—
1010	C₄×C₇	—	2	2	no	—
1011	C₄×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
1012	C₂⁴	—	2	4	no	—
1013	C₂⁴	—	4	2	no	—
1014	C₂⁴	—	4	2	no	—
1015	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1016	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1017	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1018	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1019	C₂⁴	C₂⁴×C₇	1	2	yes	—
1020	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1021	C₂⁴	C₂⁴×C₇	1	4	yes	—
1022	#41	—	4	16	no	—
1023	#41	—	4	16	no	—
1024	#41	—	4	16	no	—
1025	C₂×Q₈	—	2	4	no	—
1026	C₂×Q₈	—	2	4	no	—
1027	C₂×Q₈	—	2	4	no	—
1028	C₂×Q₈	—	4	4	no	—
1029	C₂×Q₈	—	4	4	no	—
1030	C₂×Q₈	—	4	2	no	—
1031	C₂×Q₈	—	4	4	no	—
1032	C₂×Q₈	—	4	16	no	—
1033	C₂×Q₈	—	4	16	no	—
1034	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1035	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1036	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1037	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1038	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1039	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1040	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1041	C₂×D₄	—	2	4	no	—
1042	C₂×D₄	—	2	4	no	—
1043	C₂×D₄	—	2	8	no	—
1044	C₂×D₄	—	2	4	no	—
1045	C₂×D₄	—	4	2	no	—
1046	C₂×D₄	—	4	2	no	—
1047	C₂×D₄	—	4	2	no	—
1048	C₂×D₄	—	4	4	no	—
1049	C₂×D₄	—	4	4	no	—
1050	C₂×D₄	—	4	2	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	2	no	—
1054	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1055	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1056	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1057	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1058	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1059	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1060	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1061	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1062	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1063	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1064	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1065	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1066	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1067	C₂²×C₄	—	2	4	no	—
1068	C₂²×C₄	—	2	4	no	—
1069	C₂²×C₄	—	2	4	no	—
1070	C₂²×C₄	—	2	4	no	—
1071	C₂²×C₄	—	2	4	no	—
1072	C₂²×C₄	—	4	16	no	—
1073	C₂²×C₄	—	4	2	no	—
1074	C₂²×C₄	—	4	2	no	—
1075	C₂²×C₄	—	4	2	no	—
1076	C₂²×C₄	—	4	4	no	—
1077	C₂²×C₄	—	4	4	no	—
1078	C₂²×C₄	—	4	4	no	—
1079	C₂²×C₄	—	4	4	no	—
1080	C₂²×C₄	—	4	4	no	—
1081	C₂²×C₄	—	4	4	no	—
1082	C₂²×C₄	—	4	4	no	—
1083	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1084	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1085	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1088	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1091	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1092	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1093	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1094	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1095	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1096	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1100	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1101	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1102	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1103	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1104	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1105	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1106	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1107	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1108	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1109	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1110	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1111	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1112	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1113	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1114	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1115	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1116	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1117	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1118	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1119	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1120	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1121	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1122	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1123	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1124	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1125	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1126	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1127	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1128	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1129	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1130	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1131	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1132	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1133	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1134	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1135	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1136	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1137	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1138	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1139	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1140	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1141	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1142	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1143	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1144	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1145	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1146	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1147	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1148	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1149	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1150	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1151	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1152	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1153	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1154	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1155	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1156	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1157	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1158	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1159	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1160	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1161	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1162	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1163	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1164	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1165	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1166	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1167	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1168	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1169	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1170	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1171	C₄²	C₂⁴×C₇	1	8	yes	—
1172	C₄²	C₂⁴×C₇	1	4	yes	—
1173	C₄²	C₂⁴×C₇	1	4	yes	—
1174	C₄²	C₂⁴×C₇	1	8	yes	—
1175	C₄²	C₂⁴×C₇	1	8	yes	—
1176	C₄²	C₂⁴×C₇	1	8	yes	—
1177	C₄²	C₂⁴×C₇	1	8	yes	—
1178	C₂×C₇	—	2	4	no	—
1179	C₂×C₇	—	4	2	no	—
1180	C₂×C₇	—	4	2	no	—
1181	C₂×C₇	—	4	4	no	—
1182	C₂×C₇	—	4	2	no	—
1183	C₂×C₇	—	4	2	no	—
1184	C₂×C₇	#3541	1	4	yes	direct product factor
1185	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1186	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1187	C₂×C₇	C₂×#585	1	1	yes	characteristic
1188	C₂³	—	2	2	no	—
1189	C₂³	—	2	2	no	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	4	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	4	no	—
1198	C₂³	—	2	8	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	2	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	4	4	no	—
1207	C₂³	—	4	4	no	—
1208	C₂³	—	4	16	no	—
1209	C₂³	C₇×2₋¹⁺⁴	1	4	yes	—
1210	C₂³	C₂⁵×C₇	1	2	yes	—
1211	C₂³	C₂⁵×C₇	1	2	yes	—
1212	C₂³	C₂⁵×C₇	1	2	yes	—
1213	C₂³	C₂⁵×C₇	1	2	yes	—
1214	C₂³	C₂⁵×C₇	1	4	yes	—
1215	C₂³	C₂⁵×C₇	1	2	yes	—
1216	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1217	Q₈	—	2	8	no	—
1218	Q₈	—	2	8	no	—
1219	Q₈	—	2	8	no	—
1220	Q₈	—	4	8	no	—
1221	Q₈	—	4	8	no	—
1222	Q₈	—	4	8	no	—
1223	Q₈	—	4	4	no	—
1224	D₄	—	2	8	no	—
1225	D₄	—	2	8	no	—
1226	D₄	—	2	16	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	4	8	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	4	no	—
1232	D₄	—	4	4	no	—
1233	D₄	—	4	4	no	—
1234	D₄	—	4	4	no	—
1235	D₄	—	4	8	no	—
1236	D₄	—	4	8	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	4	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	4	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	8	no	—
1254	C₂×C₄	—	2	8	no	—
1255	C₂×C₄	—	2	8	no	—
1256	C₂×C₄	—	2	8	no	—
1257	C₂×C₄	—	2	8	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	4	8	no	—
1262	C₂×C₄	—	4	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	—	4	8	no	—
1265	C₂×C₄	—	4	8	no	—
1266	C₂×C₄	—	4	8	no	—
1267	C₂×C₄	—	4	8	no	—
1268	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1269	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1270	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1271	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1272	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1273	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1274	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1275	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1276	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1277	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1278	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1279	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1280	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1281	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1282	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1283	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1284	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1285	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1286	C₇	C₂×#3541	1	1	yes	characteristic, direct product factor, Sylow
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	8	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	4	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	4	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	4	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	4	16	no	—
1306	C₂²	—	4	4	no	—
1307	C₂²	—	4	4	no	—
1308	C₂²	—	4	4	no	—
1309	C₂²	—	4	4	no	—
1310	C₂²	—	4	8	no	—
1311	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1312	C₂²	C₂×C₇×2₋¹⁺⁴	1	4	yes	—
1313	C₂²	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1314	C₂²	C₇×#585	1	2	yes	—
1315	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	4	no	—
1322	C₄	—	2	4	no	—
1323	C₄	—	2	4	no	—
1324	C₄	—	2	4	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	4	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	4	no	—
1330	C₄	—	2	4	no	—
1331	C₄	—	2	2	no	—
1332	C₄	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1333	C₂	—	2	4	no	—
1334	C₂	—	4	2	no	—
1335	C₂	—	4	2	no	—
1336	C₂	—	4	2	no	—
1337	C₂	—	4	2	no	—
1338	C₂	—	4	4	no	—
1339	C₂	C₇×#3541	1	4	yes	direct product factor
1340	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1341	C₂	C₂²×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1342	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3541	C₂	direct (N × H)
2. C₂×C₇×#563	C₂	semidirect
3. C₂×C₇×#562	C₂	semidirect
4. C₂×C₇×#556	C₂	semidirect
5. C₂×C₇×#554	C₂	semidirect
6. C₂×C₇×#554	C₂	semidirect
7. C₂×C₇×#553	C₂	semidirect
8. C₂×C₇×#553	C₂	semidirect
9. C₂×C₇×#552	C₂	semidirect
10. C₂×C₇×D₄×Q₈	C₂	semidirect
11. C₂×C₇×#548	C₂	semidirect
12. C₂×C₇×#548	C₂	semidirect
13. C₂×C₇×#547	C₂	semidirect
14. C₂×C₇×#542	C₂	semidirect
15. C₂×C₇×#542	C₂	semidirect
16. C₂×C₇×#541	C₂	semidirect
17. C₂×C₇×#539	C₂	semidirect
18. C₂×C₇×#538	C₂	semidirect
19. C₂×C₇×#538	C₂	semidirect
20. C₂×C₇×#537	C₂	semidirect
21. C₂×C₇×#536	C₂	semidirect
22. C₂×C₇×#525	C₂	semidirect
23. C₂×C₇×#525	C₂	semidirect
24. C₂²×C₇×C₂²⋊Q₈	C₂	semidirect
27. C₂²×C₇×#41	C₂²	semidirect
29. C₂³×C₇×Q₈	C₂²	semidirect
31. C₇×#563	C₂²	semidirect
32. C₇×#562	C₂²	semidirect
33. C₇×#556	C₂²	semidirect
34. C₇×#554	C₂²	semidirect
35. C₇×#554	C₂²	semidirect
36. C₇×#553	C₂²	semidirect
37. C₇×#553	C₂²	semidirect
38. C₇×#552	C₂²	semidirect
39. C₇×D₄×Q₈	C₂²	semidirect
40. C₇×#548	C₂²	semidirect
41. C₇×#548	C₂²	semidirect
42. C₇×#547	C₂²	semidirect
43. C₇×#542	C₂²	semidirect
44. C₇×#542	C₂²	semidirect
45. C₇×#541	C₂²	semidirect
46. C₇×#539	C₂²	semidirect
47. C₇×#538	C₂²	semidirect
48. C₇×#538	C₂²	semidirect
49. C₇×#537	C₂²	semidirect
50. C₇×#536	C₂²	semidirect
51. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
52. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
53. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
54. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
59. C₂×C₇×#126	C₂²	semidirect
60. C₂×C₇×#126	C₂²	semidirect
61. C₂×C₇×#126	C₂²	semidirect
62. C₂×C₇×#125	C₂²	semidirect
63. C₂×C₇×#125	C₂²	semidirect
64. C₂×C₇×#125	C₂²	semidirect
65. C₂×C₇×#125	C₂²	semidirect
66. C₂×C₇×#125	C₂²	semidirect
71. C₂×C₇×#124	C₂²	semidirect
72. C₂×C₇×#124	C₂²	semidirect
73. C₇×#525	C₂²	semidirect
74. C₇×#525	C₂²	semidirect
82. C₂×C₇×#123	C₂²	semidirect
83. C₂×C₇×#123	C₂²	semidirect
84. C₂×C₇×#123	C₂²	semidirect
97. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
98. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
99. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
100. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
101. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
102. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
103. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
104. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
105. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
106. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
117. C₂×C₇×#121	C₂²	semidirect
118. C₂×C₇×#121	C₂²	semidirect
122. C₂×C₄×C₇×Q₈	C₂²	semidirect
123. C₂×C₄×C₇×Q₈	C₂²	semidirect
124. C₂×C₄×C₇×Q₈	C₂²	semidirect
125. C₂×C₄×C₇×Q₈	C₂²	semidirect
136. C₂×C₄×C₇×D₄	C₂²	semidirect
137. C₂×C₄×C₇×D₄	C₂²	semidirect
140. C₂×C₇×#117	C₂²	semidirect
141. C₂×C₇×#117	C₂²	semidirect
144. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
145. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
147. C₂×#3541	C₇	direct (N × H)
154. C₂×C₇×#41	C₂³	semidirect
165. C₂²×C₇×Q₈	C₂³	semidirect
196. C₇×C₄⋊Q₈	C₂³	semidirect
197. C₇×C₄⋊Q₈	C₂³	semidirect
198. C₇×C₄⋊Q₈	C₂³	semidirect
199. C₇×C₄⋊Q₈	C₂³	semidirect
204. C₇×#126	C₂³	semidirect
205. C₇×#126	C₂³	semidirect
206. C₇×#126	C₂³	semidirect
207. C₇×#125	C₂³	semidirect
208. C₇×#125	C₂³	semidirect
209. C₇×#125	C₂³	semidirect
210. C₇×#125	C₂³	semidirect
211. C₇×#125	C₂³	semidirect
216. C₇×#124	C₂³	semidirect
217. C₇×#124	C₂³	semidirect
225. C₇×#123	C₂³	semidirect
226. C₇×#123	C₂³	semidirect
227. C₇×#123	C₂³	semidirect
240. C₇×C₂²⋊Q₈	C₂³	semidirect
241. C₇×C₂²⋊Q₈	C₂³	semidirect
242. C₇×C₂²⋊Q₈	C₂³	semidirect
243. C₇×C₂²⋊Q₈	C₂³	semidirect
244. C₇×C₂²⋊Q₈	C₂³	semidirect
245. C₇×C₂²⋊Q₈	C₂³	semidirect
246. C₇×C₂²⋊Q₈	C₂³	semidirect
247. C₇×C₂²⋊Q₈	C₂³	semidirect
248. C₇×C₂²⋊Q₈	C₂³	semidirect
259. C₇×#121	C₂³	semidirect
260. C₇×#121	C₂³	semidirect
264. C₄×C₇×Q₈	C₂³	semidirect
265. C₄×C₇×Q₈	C₂³	semidirect
266. C₄×C₇×Q₈	C₂³	semidirect
267. C₄×C₇×Q₈	C₂³	semidirect
278. C₄×C₇×D₄	C₂³	semidirect
279. C₄×C₇×D₄	C₂³	semidirect
282. C₇×#117	C₂³	semidirect
283. C₇×#117	C₂³	semidirect
315. C₂×C₇×C₄⋊C₄	C₂³	semidirect
316. C₂×C₇×C₄⋊C₄	C₂³	semidirect
352. #3541	C₂×C₇	direct (N × H)
353. C₂×#563	C₂×C₇	semidirect
354. C₂×#562	C₂×C₇	semidirect
355. C₂×#556	C₂×C₇	semidirect
356. C₂×#554	C₂×C₇	semidirect
357. C₂×#554	C₂×C₇	semidirect
358. C₂×#553	C₂×C₇	semidirect
359. C₂×#553	C₂×C₇	semidirect
360. C₂×#552	C₂×C₇	semidirect
361. C₂×D₄×Q₈	C₂×C₇	semidirect
362. C₂×#548	C₂×C₇	semidirect
363. C₂×#548	C₂×C₇	semidirect
364. C₂×#547	C₂×C₇	semidirect
365. C₂×#542	C₂×C₇	semidirect
366. C₂×#542	C₂×C₇	semidirect
367. C₂×#541	C₂×C₇	semidirect
368. C₂×#539	C₂×C₇	semidirect
369. C₂×#538	C₂×C₇	semidirect
370. C₂×#538	C₂×C₇	semidirect
371. C₂×#537	C₂×C₇	semidirect
372. C₂×#536	C₂×C₇	semidirect
373. C₂×#525	C₂×C₇	semidirect
374. C₂×#525	C₂×C₇	semidirect
375. C₂²×C₂²⋊Q₈	C₂×C₇	semidirect
544. C₂²×#41	C₂²×C₇	semidirect
546. C₂³×Q₈	C₂²×C₇	semidirect
548. #563	C₂²×C₇	semidirect
549. #562	C₂²×C₇	semidirect
550. #556	C₂²×C₇	semidirect
551. #554	C₂²×C₇	semidirect
552. #554	C₂²×C₇	semidirect
553. #553	C₂²×C₇	semidirect
554. #553	C₂²×C₇	semidirect
555. #552	C₂²×C₇	semidirect
556. D₄×Q₈	C₂²×C₇	semidirect
557. #548	C₂²×C₇	semidirect
558. #548	C₂²×C₇	semidirect
559. #547	C₂²×C₇	semidirect
560. #542	C₂²×C₇	semidirect
561. #542	C₂²×C₇	semidirect
562. #541	C₂²×C₇	semidirect
563. #539	C₂²×C₇	semidirect
564. #538	C₂²×C₇	semidirect
565. #538	C₂²×C₇	semidirect
566. #537	C₂²×C₇	semidirect
567. #536	C₂²×C₇	semidirect
568. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
569. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
570. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
571. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
576. C₂×#126	C₂²×C₇	semidirect
577. C₂×#126	C₂²×C₇	semidirect
578. C₂×#126	C₂²×C₇	semidirect
579. C₂×#125	C₂²×C₇	semidirect
580. C₂×#125	C₂²×C₇	semidirect
581. C₂×#125	C₂²×C₇	semidirect
582. C₂×#125	C₂²×C₇	semidirect
583. C₂×#125	C₂²×C₇	semidirect
588. C₂×#124	C₂²×C₇	semidirect
589. C₂×#124	C₂²×C₇	semidirect
590. #525	C₂²×C₇	semidirect
591. #525	C₂²×C₇	semidirect
599. C₂×#123	C₂²×C₇	semidirect
600. C₂×#123	C₂²×C₇	semidirect
601. C₂×#123	C₂²×C₇	semidirect
614. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
615. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
616. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
617. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
618. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
619. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
620. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
621. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
622. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
623. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
634. C₂×#121	C₂²×C₇	semidirect
635. C₂×#121	C₂²×C₇	semidirect
639. C₂×C₄×Q₈	C₂²×C₇	semidirect
640. C₂×C₄×Q₈	C₂²×C₇	semidirect
641. C₂×C₄×Q₈	C₂²×C₇	semidirect
642. C₂×C₄×Q₈	C₂²×C₇	semidirect
653. C₂×C₄×D₄	C₂²×C₇	semidirect
654. C₂×C₄×D₄	C₂²×C₇	semidirect
657. C₂×#117	C₂²×C₇	semidirect
658. C₂×#117	C₂²×C₇	semidirect
661. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
662. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
768. C₂×#41	C₂³×C₇	semidirect
779. C₂²×Q₈	C₂³×C₇	semidirect
810. C₄⋊Q₈	C₂³×C₇	semidirect
811. C₄⋊Q₈	C₂³×C₇	semidirect
812. C₄⋊Q₈	C₂³×C₇	semidirect
813. C₄⋊Q₈	C₂³×C₇	semidirect
818. #126	C₂³×C₇	semidirect
819. #126	C₂³×C₇	semidirect
820. #126	C₂³×C₇	semidirect
821. #125	C₂³×C₇	semidirect
822. #125	C₂³×C₇	semidirect
823. #125	C₂³×C₇	semidirect
824. #125	C₂³×C₇	semidirect
825. #125	C₂³×C₇	semidirect
830. #124	C₂³×C₇	semidirect
831. #124	C₂³×C₇	semidirect
839. #123	C₂³×C₇	semidirect
840. #123	C₂³×C₇	semidirect
841. #123	C₂³×C₇	semidirect
854. C₂²⋊Q₈	C₂³×C₇	semidirect
855. C₂²⋊Q₈	C₂³×C₇	semidirect
856. C₂²⋊Q₈	C₂³×C₇	semidirect
857. C₂²⋊Q₈	C₂³×C₇	semidirect
858. C₂²⋊Q₈	C₂³×C₇	semidirect
859. C₂²⋊Q₈	C₂³×C₇	semidirect
860. C₂²⋊Q₈	C₂³×C₇	semidirect
861. C₂²⋊Q₈	C₂³×C₇	semidirect
862. C₂²⋊Q₈	C₂³×C₇	semidirect
873. #121	C₂³×C₇	semidirect
874. #121	C₂³×C₇	semidirect
878. C₄×Q₈	C₂³×C₇	semidirect
879. C₄×Q₈	C₂³×C₇	semidirect
880. C₄×Q₈	C₂³×C₇	semidirect
881. C₄×Q₈	C₂³×C₇	semidirect
892. C₄×D₄	C₂³×C₇	semidirect
893. C₄×D₄	C₂³×C₇	semidirect
896. #117	C₂³×C₇	semidirect
897. #117	C₂³×C₇	semidirect
929. C₂×C₄⋊C₄	C₂³×C₇	semidirect
930. C₂×C₄⋊C₄	C₂³×C₇	semidirect
1184. C₂×C₇	#3541	direct (N × H)
1286. C₇	C₂×#3541	direct (N × H)
1339. C₂	C₇×#3541	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×#3541	2
C₂×C₇×#563	2
C₂×C₇×#562	2
C₂×C₇×#556	2
C₂×C₇×#554	2
C₂×C₇×#553	2
C₂×C₇×#552	2
C₂×C₇×D₄×Q₈	2
C₂×C₇×#548	2
C₂×C₇×#547	2
C₂×C₇×#542	2
C₂×C₇×#541	2
C₂×C₇×#539	2
C₂×C₇×#538	2
C₂×C₇×#537	2
C₂×C₇×#536	2
C₂×C₇×#525	2
C₂²×C₇×C₂²⋊Q₈	2
C₂×#3541	7

Subgroups — C2×C7×#3541 #13239936

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3541 #13239936