Subgroups — C₂×C₇×#3513 #13239986

Order 1792.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3513	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₇×#559	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₇×#554	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₇×#553	C₂	1	2	yes	maximal, complemented
6	C₂×C₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₇×#551	C₂	1	2	yes	maximal, complemented
8	C₂×C₇×#551	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×#547	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
13	C₂×C₇×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₇×#540	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₇×#539	C₂	1	2	yes	maximal, complemented
17	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
18	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₇×#525	C₂	1	2	yes	maximal, complemented
21	C₂²×C₇×#123	C₂	1	2	yes	maximal, complemented
22	C₂×C₇×#520	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₄×C₇×D₄	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₇×#41	C₂²	1	2	yes	complemented
27	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
28	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
29	C₂³×C₇×D₄	C₂²	1	2	yes	—
30	C₂⁴×C₄×C₇	C₂²	1	2	yes	complemented
31	C₇×#559	C₂²	1	16	yes	complemented
32	C₇×#554	C₂²	1	16	yes	complemented
33	C₇×#553	C₂²	1	16	yes	complemented
34	C₇×#553	C₂²	1	32	yes	complemented
35	C₇×#552	C₂²	1	16	yes	complemented
36	C₇×#551	C₂²	1	32	yes	complemented
37	C₇×#551	C₂²	1	32	yes	complemented
38	C₇×#547	C₂²	1	16	yes	complemented
39	C₇×#546	C₂²	1	16	yes	complemented
40	C₇×#546	C₂²	1	16	yes	complemented
41	C₇×#546	C₂²	1	32	yes	complemented
42	C₇×D₄²	C₂²	1	16	yes	complemented
43	C₇×#542	C₂²	1	16	yes	complemented
44	C₇×#540	C₂²	1	16	yes	complemented
45	C₇×#539	C₂²	1	32	yes	complemented
46	C₇×#538	C₂²	1	32	yes	complemented
47	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₇×#127	C₂²	1	1	yes	characteristic
49	C₇×#529	C₂²	1	16	yes	complemented
50	C₇×#529	C₂²	1	16	yes	complemented
51	C₂×C₇×#126	C₂²	1	2	yes	complemented
52	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₇×#126	C₂²	1	2	yes	complemented
55	C₂×C₇×#126	C₂²	1	2	yes	complemented
56	C₂×C₇×#126	C₂²	1	2	yes	complemented
57	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₇×#125	C₂²	1	2	yes	complemented
60	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₇×#124	C₂²	1	2	yes	complemented
64	C₂×C₇×#124	C₂²	1	2	yes	complemented
65	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
66	C₇×#525	C₂²	1	32	yes	complemented
67	C₂×C₇×#123	C₂²	1	1	yes	characteristic
68	C₂×C₇×#123	C₂²	1	2	yes	—
69	C₂×C₇×#123	C₂²	1	2	yes	complemented
70	C₂×C₇×#123	C₂²	1	2	yes	complemented
71	C₂×C₇×#123	C₂²	1	2	yes	complemented
72	C₂×C₇×#123	C₂²	1	2	yes	complemented
73	C₂×C₇×#123	C₂²	1	2	yes	complemented
74	C₂×C₇×#123	C₂²	1	2	yes	complemented
75	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₇×#123	C₂²	1	2	yes	complemented
77	C₂×C₇×#123	C₂²	1	2	yes	complemented
78	C₂×C₇×#123	C₂²	1	2	yes	complemented
79	C₂×C₇×#123	C₂²	1	2	yes	complemented
80	C₂×C₇×#123	C₂²	1	2	yes	complemented
81	C₂×C₇×#123	C₂²	1	32	yes	complemented
82	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
83	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
84	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
87	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
88	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
89	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
90	C₂×C₇×#121	C₂²	1	1	yes	characteristic
91	C₂×C₇×#121	C₂²	1	1	yes	characteristic
92	C₂×C₇×#121	C₂²	1	2	yes	—
93	C₂×C₇×#121	C₂²	1	1	yes	characteristic
94	C₂×C₇×#121	C₂²	1	2	yes	complemented
95	C₂×C₇×#121	C₂²	1	2	yes	complemented
96	C₂×C₇×#121	C₂²	1	2	yes	complemented
97	C₂×C₇×#121	C₂²	1	2	yes	complemented
98	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₇×#121	C₂²	1	2	yes	complemented
100	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₇×#120	C₂²	1	2	yes	—
102	C₂×C₇×#120	C₂²	1	2	yes	—
103	C₂×C₇×#120	C₂²	1	2	yes	complemented
104	C₂×C₇×#120	C₂²	1	2	yes	complemented
105	C₇×#520	C₂²	1	16	yes	complemented
106	C₇×#518	C₂²	1	16	yes	complemented
107	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
111	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
112	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
113	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
114	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
115	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
116	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
118	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
120	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
123	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
124	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
125	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
126	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
127	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
129	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄×C₇×D₄	C₂²	1	16	yes	complemented
131	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₇×#117	C₂²	1	2	yes	complemented
135	C₂×C₇×#117	C₂²	1	2	yes	complemented
136	C₂×C₇×#117	C₂²	1	2	yes	complemented
137	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
138	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
139	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
140	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
141	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
142	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
143	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
144	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
145	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3513	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
148	C₂⁵×C₇	C₂³	1	2	yes	—
149	C₂⁵×C₇	C₂³	1	2	yes	—
150	C₂×C₇×#41	—	2	8	no	—
151	C₂×C₇×#41	—	4	8	no	—
152	C₂×C₇×#41	C₂³	1	8	yes	—
153	C₂×C₇×#41	C₂³	1	16	yes	complemented
154	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
155	C₂²×C₇×Q₈	C₂³	1	2	yes	—
156	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
157	C₂²×C₇×D₄	—	2	8	no	—
158	C₂²×C₇×D₄	—	2	8	no	—
159	C₂²×C₇×D₄	—	4	8	no	—
160	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
161	C₂²×C₇×D₄	C₂³	1	2	yes	—
162	C₂²×C₇×D₄	C₂³	1	2	yes	—
163	C₂²×C₇×D₄	C₂³	1	2	yes	—
164	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
165	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
166	C₂²×C₇×D₄	C₂³	1	8	yes	—
167	C₂²×C₇×D₄	C₂³	1	8	yes	—
168	C₂²×C₇×D₄	C₂³	1	2	yes	—
169	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
170	C₂²×C₇×D₄	C₂³	1	2	yes	—
171	C₂²×C₇×D₄	C₂³	1	2	yes	—
172	C₂²×C₇×D₄	C₂³	1	16	yes	—
173	C₂²×C₇×D₄	C₂³	1	2	yes	—
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	C₂³×C₄×C₇	—	4	8	no	—
179	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
180	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
181	C₂³×C₄×C₇	C₂³	1	2	yes	—
182	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
183	C₂³×C₄×C₇	C₂³	1	2	yes	—
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	1	yes	characteristic
189	C₂³×C₄×C₇	C₂³	1	2	yes	—
190	C₂³×C₄×C₇	C₂³	1	2	yes	—
191	C₂³×C₄×C₇	C₂³	1	2	yes	—
192	C₂³×C₄×C₇	C₂³	1	2	yes	—
193	C₂³×C₄×C₇	C₂³	1	2	yes	—
194	C₂³×C₄×C₇	C₂³	1	2	yes	—
195	C₂³×C₄×C₇	C₂³	1	16	yes	complemented
196	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
197	C₇×#127	C₂³	1	8	yes	—
198	C₇×#126	C₂³	1	16	yes	complemented
199	C₇×#126	C₂³	1	8	yes	complemented
200	C₇×#126	C₂³	1	8	yes	complemented
201	C₇×#126	C₂³	1	16	yes	complemented
202	C₇×#126	C₂³	1	16	yes	complemented
203	C₇×#126	C₂³	1	16	yes	complemented
204	C₇×#125	C₂³	1	8	yes	complemented
205	C₇×#125	C₂³	1	8	yes	complemented
206	C₇×#125	C₂³	1	16	yes	complemented
207	C₇×#125	C₂³	1	8	yes	complemented
208	C₇×#124	C₂³	1	8	yes	complemented
209	C₇×#124	C₂³	1	8	yes	complemented
210	C₇×#124	C₂³	1	16	yes	complemented
211	C₇×#124	C₂³	1	16	yes	complemented
212	C₇×#124	C₂³	1	8	yes	complemented
213	C₇×#123	C₂³	1	8	yes	—
214	C₇×#123	C₂³	1	16	yes	—
215	C₇×#123	C₂³	1	16	yes	complemented
216	C₇×#123	C₂³	1	16	yes	complemented
217	C₇×#123	C₂³	1	16	yes	complemented
218	C₇×#123	C₂³	1	16	yes	complemented
219	C₇×#123	C₂³	1	16	yes	complemented
220	C₇×#123	C₂³	1	16	yes	complemented
221	C₇×#123	C₂³	1	8	yes	complemented
222	C₇×#123	C₂³	1	16	yes	complemented
223	C₇×#123	C₂³	1	16	yes	complemented
224	C₇×#123	C₂³	1	16	yes	complemented
225	C₇×#123	C₂³	1	16	yes	complemented
226	C₇×#123	C₂³	1	16	yes	complemented
227	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
228	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
229	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
230	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
231	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
232	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
233	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
234	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
235	C₇×#121	C₂³	1	8	yes	—
236	C₇×#121	C₂³	1	8	yes	—
237	C₇×#121	C₂³	1	16	yes	—
238	C₇×#121	C₂³	1	8	yes	—
239	C₇×#121	C₂³	1	16	yes	complemented
240	C₇×#121	C₂³	1	16	yes	complemented
241	C₇×#121	C₂³	1	16	yes	complemented
242	C₇×#121	C₂³	1	16	yes	complemented
243	C₇×#121	C₂³	1	8	yes	complemented
244	C₇×#121	C₂³	1	16	yes	complemented
245	C₇×#121	C₂³	1	8	yes	complemented
246	C₇×#120	C₂³	1	16	yes	—
247	C₇×#120	C₂³	1	16	yes	—
248	C₇×#120	C₂³	1	16	yes	complemented
249	C₇×#120	C₂³	1	16	yes	complemented
250	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
251	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
252	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
253	C₄×C₇×D₄	C₂³	1	8	yes	—
254	C₄×C₇×D₄	C₂³	1	8	yes	—
255	C₄×C₇×D₄	C₂³	1	8	yes	—
256	C₄×C₇×D₄	C₂³	1	8	yes	—
257	C₄×C₇×D₄	C₂³	1	8	yes	—
258	C₄×C₇×D₄	C₂³	1	16	yes	complemented
259	C₄×C₇×D₄	C₂³	1	8	yes	complemented
260	C₄×C₇×D₄	C₂³	1	16	yes	complemented
261	C₄×C₇×D₄	C₂³	1	8	yes	complemented
262	C₄×C₇×D₄	C₂³	1	16	yes	complemented
263	C₄×C₇×D₄	C₂³	1	8	yes	complemented
264	C₄×C₇×D₄	C₂³	1	8	yes	complemented
265	C₄×C₇×D₄	C₂³	1	16	yes	complemented
266	C₄×C₇×D₄	C₂³	1	16	yes	complemented
267	C₄×C₇×D₄	C₂³	1	16	yes	complemented
268	C₄×C₇×D₄	C₂³	1	16	yes	complemented
269	C₄×C₇×D₄	C₂³	1	16	yes	complemented
270	C₄×C₇×D₄	C₂³	1	8	yes	complemented
271	C₄×C₇×D₄	C₂³	1	16	yes	complemented
272	C₄×C₇×D₄	C₂³	1	8	yes	complemented
273	C₇×#117	C₂³	1	8	yes	complemented
274	C₇×#117	C₂³	1	8	yes	complemented
275	C₇×#117	C₂³	1	8	yes	complemented
276	C₇×#117	C₂³	1	16	yes	complemented
277	C₇×#117	C₂³	1	16	yes	complemented
278	C₇×#117	C₂³	1	16	yes	complemented
279	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
281	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
284	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
287	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
292	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
301	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	8	yes	complemented
305	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
306	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
307	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
308	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
315	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
316	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
322	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
323	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
330	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
335	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
336	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
338	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
339	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
340	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
341	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
342	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₇	C₂³	1	2	yes	—
347	C₂×C₄²×C₇	C₂³	1	2	yes	—
348	C₂×C₄²×C₇	C₂³	1	2	yes	—
349	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₇	C₂³	1	8	yes	complemented
352	#3513	C₂×C₇	1	32	yes	direct product factor
353	C₂×#559	C₂×C₇	1	1	yes	characteristic, complemented
354	C₂×#554	C₂×C₇	1	1	yes	characteristic, complemented
355	C₂×#553	C₂×C₇	1	1	yes	characteristic, complemented
356	C₂×#553	C₂×C₇	1	2	yes	complemented
357	C₂×#552	C₂×C₇	1	1	yes	characteristic, complemented
358	C₂×#551	C₂×C₇	1	2	yes	complemented
359	C₂×#551	C₂×C₇	1	2	yes	complemented
360	C₂×#547	C₂×C₇	1	1	yes	characteristic, complemented
361	C₂×#546	C₂×C₇	1	1	yes	characteristic, complemented
362	C₂×#546	C₂×C₇	1	1	yes	characteristic, complemented
363	C₂×#546	C₂×C₇	1	2	yes	complemented
364	C₂×D₄²	C₂×C₇	1	1	yes	characteristic, complemented
365	C₂×#542	C₂×C₇	1	1	yes	characteristic, complemented
366	C₂×#540	C₂×C₇	1	1	yes	characteristic, complemented
367	C₂×#539	C₂×C₇	1	2	yes	complemented
368	C₂×#538	C₂×C₇	1	2	yes	complemented
369	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
370	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
371	C₂×#525	C₂×C₇	1	2	yes	complemented
372	C₂²×#123	C₂×C₇	1	2	yes	complemented
373	C₂×#520	C₂×C₇	1	1	yes	characteristic, complemented
374	C₂×#518	C₂×C₇	1	1	yes	characteristic, complemented
375	C₂²×C₄×D₄	C₂×C₇	1	1	yes	characteristic, complemented
376	C₂⁴×C₇	—	2	8	no	—
377	C₂⁴×C₇	—	2	8	no	—
378	C₂⁴×C₇	—	2	8	no	—
379	C₂⁴×C₇	—	4	4	no	—
380	C₂⁴×C₇	—	4	4	no	—
381	C₂⁴×C₇	—	4	4	no	—
382	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
383	C₂⁴×C₇	C₂⁴	1	2	yes	—
384	C₂⁴×C₇	C₂⁴	1	2	yes	—
385	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₇	C₂⁴	1	8	yes	—
387	C₂⁴×C₇	C₂⁴	1	2	yes	—
388	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₇	C₂⁴	1	8	yes	—
390	C₇×#41	—	2	32	no	—
391	C₇×#41	—	4	32	no	—
392	C₂×C₇×Q₈	—	2	4	no	—
393	C₂×C₇×Q₈	—	4	2	no	—
394	C₂×C₇×Q₈	—	4	4	no	—
395	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
396	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
397	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
398	C₂×C₇×D₄	—	2	8	no	—
399	C₂×C₇×D₄	—	2	8	no	—
400	C₂×C₇×D₄	—	2	8	no	—
401	C₂×C₇×D₄	—	2	4	no	—
402	C₂×C₇×D₄	—	2	8	no	—
403	C₂×C₇×D₄	—	2	4	no	—
404	C₂×C₇×D₄	—	2	32	no	—
405	C₂×C₇×D₄	—	2	32	no	—
406	C₂×C₇×D₄	—	2	4	no	—
407	C₂×C₇×D₄	—	2	4	no	—
408	C₂×C₇×D₄	—	4	4	no	—
409	C₂×C₇×D₄	—	4	4	no	—
410	C₂×C₇×D₄	—	4	4	no	—
411	C₂×C₇×D₄	—	4	2	no	—
412	C₂×C₇×D₄	—	4	4	no	—
413	C₂×C₇×D₄	—	4	4	no	—
414	C₂×C₇×D₄	—	4	32	no	—
415	C₂×C₇×D₄	#41	1	8	yes	complemented
416	C₂×C₇×D₄	C₂⁴	1	4	yes	—
417	C₂×C₇×D₄	C₂⁴	1	8	yes	—
418	C₂×C₇×D₄	C₂⁴	1	8	yes	—
419	C₂×C₇×D₄	C₂⁴	1	8	yes	—
420	C₂×C₇×D₄	C₂⁴	1	4	yes	—
421	C₂×C₇×D₄	C₂⁴	1	4	yes	—
422	C₂×C₇×D₄	C₂⁴	1	8	yes	—
423	C₂×C₇×D₄	C₂⁴	1	4	yes	—
424	C₂×C₇×D₄	C₂⁴	1	8	yes	—
425	C₂×C₇×D₄	C₂⁴	1	4	yes	—
426	C₂×C₇×D₄	C₂⁴	1	8	yes	—
427	C₂×C₇×D₄	C₂⁴	1	8	yes	—
428	C₂×C₇×D₄	C₂⁴	1	8	yes	—
429	C₂×C₇×D₄	C₂⁴	1	8	yes	—
430	C₂×C₇×D₄	C₂⁴	1	4	yes	—
431	C₂²×C₄×C₇	—	2	8	no	—
432	C₂²×C₄×C₇	—	2	4	no	—
433	C₂²×C₄×C₇	—	2	8	no	—
434	C₂²×C₄×C₇	—	2	4	no	—
435	C₂²×C₄×C₇	—	2	4	no	—
436	C₂²×C₄×C₇	—	2	4	no	—
437	C₂²×C₄×C₇	—	4	4	no	—
438	C₂²×C₄×C₇	—	4	4	no	—
439	C₂²×C₄×C₇	—	4	4	no	—
440	C₂²×C₄×C₇	—	4	4	no	—
441	C₂²×C₄×C₇	—	4	32	no	—
442	C₂²×C₄×C₇	—	4	4	no	—
443	C₂²×C₄×C₇	—	4	2	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	—	4	4	no	—
448	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
449	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
450	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
451	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
452	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
453	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
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	1	yes	characteristic
460	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
463	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
465	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇	C₂⁴	1	2	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	8	yes	—
476	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
477	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
478	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
479	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
480	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
481	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
482	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
483	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
484	C₇×C₄⋊C₄	C₂⁴	1	4	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	8	yes	—
492	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
493	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
494	C₇×C₄⋊C₄	C₂⁴	1	4	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	8	yes	—
500	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
501	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
502	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
503	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
504	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
505	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
506	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
507	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
508	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
510	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
511	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
512	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
513	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
514	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
515	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
517	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
518	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
519	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
520	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
521	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
522	C₇×C₂²⋊C₄	C₂⁴	1	8	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	4	yes	—
527	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
528	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
529	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
530	C₇×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
535	C₄²×C₇	C₂⁴	1	4	yes	—
536	C₄²×C₇	C₂⁴	1	4	yes	—
537	C₄²×C₇	C₂⁴	1	4	yes	—
538	C₄²×C₇	C₂⁴	1	4	yes	—
539	C₄²×C₇	C₂⁴	1	8	yes	—
540	C₄²×C₇	C₂⁴	1	8	yes	—
541	C₄²×C₇	C₂⁴	1	8	yes	—
542	C₄²×C₇	C₂⁴	1	4	yes	—
543	C₄²×C₇	C₂⁴	1	4	yes	—
544	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
545	C₂²×#41	C₂²×C₇	1	2	yes	complemented
546	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
547	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
548	C₂³×D₄	C₂²×C₇	1	2	yes	—
549	C₂⁴×C₄	C₂²×C₇	1	2	yes	complemented
550	#559	C₂²×C₇	1	16	yes	complemented
551	#554	C₂²×C₇	1	16	yes	complemented
552	#553	C₂²×C₇	1	16	yes	complemented
553	#553	C₂²×C₇	1	32	yes	complemented
554	#552	C₂²×C₇	1	16	yes	complemented
555	#551	C₂²×C₇	1	32	yes	complemented
556	#551	C₂²×C₇	1	32	yes	complemented
557	#547	C₂²×C₇	1	16	yes	complemented
558	#546	C₂²×C₇	1	16	yes	complemented
559	#546	C₂²×C₇	1	16	yes	complemented
560	#546	C₂²×C₇	1	32	yes	complemented
561	D₄²	C₂²×C₇	1	16	yes	complemented
562	#542	C₂²×C₇	1	16	yes	complemented
563	#540	C₂²×C₇	1	16	yes	complemented
564	#539	C₂²×C₇	1	32	yes	complemented
565	#538	C₂²×C₇	1	32	yes	complemented
566	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
567	C₂×#127	C₂²×C₇	1	1	yes	characteristic
568	#529	C₂²×C₇	1	16	yes	complemented
569	#529	C₂²×C₇	1	16	yes	complemented
570	C₂×#126	C₂²×C₇	1	2	yes	complemented
571	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
572	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
573	C₂×#126	C₂²×C₇	1	2	yes	complemented
574	C₂×#126	C₂²×C₇	1	2	yes	complemented
575	C₂×#126	C₂²×C₇	1	2	yes	complemented
576	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
577	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
578	C₂×#125	C₂²×C₇	1	2	yes	complemented
579	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
580	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
581	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
582	C₂×#124	C₂²×C₇	1	2	yes	complemented
583	C₂×#124	C₂²×C₇	1	2	yes	complemented
584	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
585	#525	C₂²×C₇	1	32	yes	complemented
586	C₂×#123	C₂²×C₇	1	1	yes	characteristic
587	C₂×#123	C₂²×C₇	1	2	yes	—
588	C₂×#123	C₂²×C₇	1	2	yes	complemented
589	C₂×#123	C₂²×C₇	1	2	yes	complemented
590	C₂×#123	C₂²×C₇	1	2	yes	complemented
591	C₂×#123	C₂²×C₇	1	2	yes	complemented
592	C₂×#123	C₂²×C₇	1	2	yes	complemented
593	C₂×#123	C₂²×C₇	1	2	yes	complemented
594	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
595	C₂×#123	C₂²×C₇	1	2	yes	complemented
596	C₂×#123	C₂²×C₇	1	2	yes	complemented
597	C₂×#123	C₂²×C₇	1	2	yes	complemented
598	C₂×#123	C₂²×C₇	1	2	yes	complemented
599	C₂×#123	C₂²×C₇	1	2	yes	complemented
600	C₂×#123	C₂²×C₇	1	32	yes	complemented
601	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
602	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
603	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
604	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
605	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
606	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
607	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
608	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
609	C₂×#121	C₂²×C₇	1	1	yes	characteristic
610	C₂×#121	C₂²×C₇	1	1	yes	characteristic
611	C₂×#121	C₂²×C₇	1	2	yes	—
612	C₂×#121	C₂²×C₇	1	1	yes	characteristic
613	C₂×#121	C₂²×C₇	1	2	yes	complemented
614	C₂×#121	C₂²×C₇	1	2	yes	complemented
615	C₂×#121	C₂²×C₇	1	2	yes	complemented
616	C₂×#121	C₂²×C₇	1	2	yes	complemented
617	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
618	C₂×#121	C₂²×C₇	1	2	yes	complemented
619	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
620	C₂×#120	C₂²×C₇	1	2	yes	—
621	C₂×#120	C₂²×C₇	1	2	yes	—
622	C₂×#120	C₂²×C₇	1	2	yes	complemented
623	C₂×#120	C₂²×C₇	1	2	yes	complemented
624	#520	C₂²×C₇	1	16	yes	complemented
625	#518	C₂²×C₇	1	16	yes	complemented
626	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
627	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
628	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
629	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
630	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
631	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
632	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
633	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
634	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
635	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
636	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
637	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
638	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
639	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
640	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
641	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
642	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
643	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
644	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
645	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
646	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
647	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
648	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
649	C₂×C₄×D₄	C₂²×C₇	1	16	yes	complemented
650	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
651	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
652	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
653	C₂×#117	C₂²×C₇	1	2	yes	complemented
654	C₂×#117	C₂²×C₇	1	2	yes	complemented
655	C₂×#117	C₂²×C₇	1	2	yes	complemented
656	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
657	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
658	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
659	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
660	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
661	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
662	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
663	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
664	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
665	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
666	C₂³×C₇	—	2	2	no	—
667	C₂³×C₇	—	2	4	no	—
668	C₂³×C₇	—	2	2	no	—
669	C₂³×C₇	—	2	4	no	—
670	C₂³×C₇	—	2	2	no	—
671	C₂³×C₇	—	2	2	no	—
672	C₂³×C₇	—	2	16	no	—
673	C₂³×C₇	—	2	4	no	—
674	C₂³×C₇	—	2	4	no	—
675	C₂³×C₇	—	2	2	no	—
676	C₂³×C₇	—	2	16	no	—
677	C₂³×C₇	—	2	4	no	—
678	C₂³×C₇	—	2	4	no	—
679	C₂³×C₇	—	2	2	no	—
680	C₂³×C₇	—	2	4	no	—
681	C₂³×C₇	—	2	2	no	—
682	C₂³×C₇	—	2	4	no	—
683	C₂³×C₇	—	2	2	no	—
684	C₂³×C₇	—	2	16	no	—
685	C₂³×C₇	—	4	8	no	—
686	C₂³×C₇	—	4	8	no	—
687	C₂³×C₇	—	4	8	no	—
688	C₂³×C₇	—	4	32	no	—
689	C₂³×C₇	—	8	16	no	—
690	C₂³×C₇	C₂×#41	1	8	yes	—
691	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
692	C₂³×C₇	C₂⁵	1	2	yes	—
693	C₂³×C₇	C₂⁵	1	4	yes	—
694	C₂³×C₇	C₂⁵	1	4	yes	—
695	C₂³×C₇	C₂⁵	1	2	yes	—
696	C₂³×C₇	C₂⁵	1	4	yes	—
697	C₂³×C₇	C₂⁵	1	2	yes	—
698	C₂³×C₇	C₂⁵	1	1	yes	characteristic
699	C₇×Q₈	—	2	8	no	—
700	C₇×Q₈	—	4	4	no	—
701	C₇×Q₈	—	4	8	no	—
702	C₇×D₄	—	2	16	no	—
703	C₇×D₄	—	2	16	no	—
704	C₇×D₄	—	2	16	no	—
705	C₇×D₄	—	2	8	no	—
706	C₇×D₄	—	2	16	no	—
707	C₇×D₄	—	2	8	no	—
708	C₇×D₄	—	2	8	no	—
709	C₇×D₄	—	2	8	no	—
710	C₇×D₄	—	4	8	no	—
711	C₇×D₄	—	4	8	no	—
712	C₇×D₄	—	4	8	no	—
713	C₇×D₄	—	4	4	no	—
714	C₇×D₄	—	4	8	no	—
715	C₇×D₄	—	4	8	no	—
716	C₇×D₄	C₂×#41	1	16	yes	complemented
717	C₂×C₄×C₇	—	2	2	no	—
718	C₂×C₄×C₇	—	2	2	no	—
719	C₂×C₄×C₇	—	2	2	no	—
720	C₂×C₄×C₇	—	2	4	no	—
721	C₂×C₄×C₇	—	2	16	no	—
722	C₂×C₄×C₇	—	2	8	no	—
723	C₂×C₄×C₇	—	2	2	no	—
724	C₂×C₄×C₇	—	2	2	no	—
725	C₂×C₄×C₇	—	2	4	no	—
726	C₂×C₄×C₇	—	2	4	no	—
727	C₂×C₄×C₇	—	2	16	no	—
728	C₂×C₄×C₇	—	2	2	no	—
729	C₂×C₄×C₇	—	2	4	no	—
730	C₂×C₄×C₇	—	2	2	no	—
731	C₂×C₄×C₇	—	2	2	no	—
732	C₂×C₄×C₇	—	2	4	no	—
733	C₂×C₄×C₇	—	2	2	no	—
734	C₂×C₄×C₇	—	2	2	no	—
735	C₂×C₄×C₇	—	2	2	no	—
736	C₂×C₄×C₇	—	2	8	no	—
737	C₂×C₄×C₇	—	2	8	no	—
738	C₂×C₄×C₇	—	2	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	—	4	4	no	—
745	C₂×C₄×C₇	—	4	8	no	—
746	C₂×C₄×C₇	—	4	8	no	—
747	C₂×C₄×C₇	—	4	8	no	—
748	C₂×C₄×C₇	—	4	8	no	—
749	C₂×C₄×C₇	C₂×#41	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	2	yes	—
754	C₂×C₄×C₇	C₂⁵	1	2	yes	—
755	C₂×C₄×C₇	C₂⁵	1	2	yes	—
756	C₂×C₄×C₇	C₂⁵	1	2	yes	—
757	C₂×C₄×C₇	C₂⁵	1	2	yes	—
758	C₂×C₄×C₇	C₂⁵	1	4	yes	—
759	C₂×C₄×C₇	C₂⁵	1	2	yes	—
760	C₂×C₄×C₇	C₂⁵	1	4	yes	—
761	C₂×C₄×C₇	C₂⁵	1	2	yes	—
762	C₂×C₄×C₇	C₂⁵	1	4	yes	—
763	C₂×C₄×C₇	C₂⁵	1	2	yes	—
764	C₂×C₄×C₇	C₂⁵	1	2	yes	—
765	C₂×C₄×C₇	C₂⁵	1	4	yes	—
766	C₂×C₄×C₇	C₂⁵	1	2	yes	—
767	C₂⁵	C₂³×C₇	1	2	yes	—
768	C₂⁵	C₂³×C₇	1	2	yes	—
769	C₂×#41	—	2	8	no	—
770	C₂×#41	—	4	8	no	—
771	C₂×#41	C₂³×C₇	1	8	yes	—
772	C₂×#41	C₂³×C₇	1	16	yes	complemented
773	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
774	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
775	C₂²×Q₈	C₂³×C₇	1	2	yes	—
776	C₂²×D₄	—	2	8	no	—
777	C₂²×D₄	—	2	8	no	—
778	C₂²×D₄	—	4	8	no	—
779	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
780	C₂²×D₄	C₂³×C₇	1	2	yes	—
781	C₂²×D₄	C₂³×C₇	1	2	yes	—
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	8	yes	—
786	C₂²×D₄	C₂³×C₇	1	2	yes	—
787	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
788	C₂²×D₄	C₂³×C₇	1	8	yes	—
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	2	yes	—
793	C₂²×D₄	C₂³×C₇	1	2	yes	—
794	C₂²×D₄	C₂³×C₇	1	2	yes	—
795	C₂²×D₄	C₂³×C₇	1	16	yes	—
796	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
797	C₂³×C₄	—	4	8	no	—
798	C₂³×C₄	C₂³×C₇	1	2	yes	—
799	C₂³×C₄	C₂³×C₇	1	2	yes	—
800	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
801	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
802	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
803	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
804	C₂³×C₄	C₂³×C₇	1	2	yes	—
805	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
806	C₂³×C₄	C₂³×C₇	1	2	yes	—
807	C₂³×C₄	C₂³×C₇	1	2	yes	—
808	C₂³×C₄	C₂³×C₇	1	2	yes	—
809	C₂³×C₄	C₂³×C₇	1	2	yes	—
810	C₂³×C₄	C₂³×C₇	1	2	yes	—
811	C₂³×C₄	C₂³×C₇	1	2	yes	—
812	C₂³×C₄	C₂³×C₇	1	2	yes	—
813	C₂³×C₄	C₂³×C₇	1	2	yes	—
814	C₂³×C₄	C₂³×C₇	1	16	yes	complemented
815	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
816	#127	C₂³×C₇	1	8	yes	—
817	#126	C₂³×C₇	1	16	yes	complemented
818	#126	C₂³×C₇	1	8	yes	complemented
819	#126	C₂³×C₇	1	8	yes	complemented
820	#126	C₂³×C₇	1	16	yes	complemented
821	#126	C₂³×C₇	1	16	yes	complemented
822	#126	C₂³×C₇	1	16	yes	complemented
823	#125	C₂³×C₇	1	8	yes	complemented
824	#125	C₂³×C₇	1	8	yes	complemented
825	#125	C₂³×C₇	1	16	yes	complemented
826	#125	C₂³×C₇	1	8	yes	complemented
827	#124	C₂³×C₇	1	8	yes	complemented
828	#124	C₂³×C₇	1	8	yes	complemented
829	#124	C₂³×C₇	1	16	yes	complemented
830	#124	C₂³×C₇	1	16	yes	complemented
831	#124	C₂³×C₇	1	8	yes	complemented
832	#123	C₂³×C₇	1	8	yes	—
833	#123	C₂³×C₇	1	16	yes	—
834	#123	C₂³×C₇	1	16	yes	complemented
835	#123	C₂³×C₇	1	16	yes	complemented
836	#123	C₂³×C₇	1	16	yes	complemented
837	#123	C₂³×C₇	1	16	yes	complemented
838	#123	C₂³×C₇	1	16	yes	complemented
839	#123	C₂³×C₇	1	16	yes	complemented
840	#123	C₂³×C₇	1	8	yes	complemented
841	#123	C₂³×C₇	1	16	yes	complemented
842	#123	C₂³×C₇	1	16	yes	complemented
843	#123	C₂³×C₇	1	16	yes	complemented
844	#123	C₂³×C₇	1	16	yes	complemented
845	#123	C₂³×C₇	1	16	yes	complemented
846	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
847	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
848	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
849	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
850	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
851	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
852	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
853	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
854	#121	C₂³×C₇	1	8	yes	—
855	#121	C₂³×C₇	1	8	yes	—
856	#121	C₂³×C₇	1	16	yes	—
857	#121	C₂³×C₇	1	8	yes	—
858	#121	C₂³×C₇	1	16	yes	complemented
859	#121	C₂³×C₇	1	16	yes	complemented
860	#121	C₂³×C₇	1	16	yes	complemented
861	#121	C₂³×C₇	1	16	yes	complemented
862	#121	C₂³×C₇	1	8	yes	complemented
863	#121	C₂³×C₇	1	16	yes	complemented
864	#121	C₂³×C₇	1	8	yes	complemented
865	#120	C₂³×C₇	1	16	yes	—
866	#120	C₂³×C₇	1	16	yes	—
867	#120	C₂³×C₇	1	16	yes	complemented
868	#120	C₂³×C₇	1	16	yes	complemented
869	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
870	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
871	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
872	C₄×D₄	C₂³×C₇	1	8	yes	—
873	C₄×D₄	C₂³×C₇	1	8	yes	—
874	C₄×D₄	C₂³×C₇	1	8	yes	—
875	C₄×D₄	C₂³×C₇	1	8	yes	—
876	C₄×D₄	C₂³×C₇	1	8	yes	—
877	C₄×D₄	C₂³×C₇	1	16	yes	complemented
878	C₄×D₄	C₂³×C₇	1	8	yes	complemented
879	C₄×D₄	C₂³×C₇	1	16	yes	complemented
880	C₄×D₄	C₂³×C₇	1	8	yes	complemented
881	C₄×D₄	C₂³×C₇	1	16	yes	complemented
882	C₄×D₄	C₂³×C₇	1	8	yes	complemented
883	C₄×D₄	C₂³×C₇	1	8	yes	complemented
884	C₄×D₄	C₂³×C₇	1	16	yes	complemented
885	C₄×D₄	C₂³×C₇	1	16	yes	complemented
886	C₄×D₄	C₂³×C₇	1	16	yes	complemented
887	C₄×D₄	C₂³×C₇	1	16	yes	complemented
888	C₄×D₄	C₂³×C₇	1	16	yes	complemented
889	C₄×D₄	C₂³×C₇	1	8	yes	complemented
890	C₄×D₄	C₂³×C₇	1	16	yes	complemented
891	C₄×D₄	C₂³×C₇	1	8	yes	complemented
892	#117	C₂³×C₇	1	8	yes	complemented
893	#117	C₂³×C₇	1	8	yes	complemented
894	#117	C₂³×C₇	1	8	yes	complemented
895	#117	C₂³×C₇	1	16	yes	complemented
896	#117	C₂³×C₇	1	16	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	1	yes	characteristic
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	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
906	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
907	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
908	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
909	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
910	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
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	2	yes	—
915	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
916	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
917	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
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	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
924	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
925	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
926	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
927	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
928	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
930	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
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	2	yes	—
936	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
937	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
938	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
939	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
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	2	yes	—
943	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
944	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
945	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
947	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
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	1	yes	characteristic
951	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
952	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
953	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
954	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
955	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
957	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
958	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
959	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
960	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
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	1	yes	characteristic
966	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
967	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
968	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
969	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
970	C₂×C₄²	C₂³×C₇	1	8	yes	complemented
971	C₂²×C₇	—	2	2	no	—
972	C₂²×C₇	—	2	4	no	—
973	C₂²×C₇	—	2	2	no	—
974	C₂²×C₇	—	2	4	no	—
975	C₂²×C₇	—	2	8	no	—
976	C₂²×C₇	—	2	16	no	—
977	C₂²×C₇	—	2	2	no	—
978	C₂²×C₇	—	2	2	no	—
979	C₂²×C₇	—	2	4	no	—
980	C₂²×C₇	—	2	4	no	—
981	C₂²×C₇	—	2	2	no	—
982	C₂²×C₇	—	2	4	no	—
983	C₂²×C₇	—	2	4	no	—
984	C₂²×C₇	—	2	2	no	—
985	C₂²×C₇	—	2	4	no	—
986	C₂²×C₇	—	2	2	no	—
987	C₂²×C₇	—	2	4	no	—
988	C₂²×C₇	—	2	2	no	—
989	C₂²×C₇	—	4	32	no	—
990	C₂²×C₇	—	4	4	no	—
991	C₂²×C₇	—	4	8	no	—
992	C₂²×C₇	—	4	8	no	—
993	C₂²×C₇	—	4	4	no	—
994	C₂²×C₇	—	8	16	no	—
995	C₂²×C₇	C₂²×#41	1	8	yes	—
996	C₂²×C₇	C₂²×#41	1	2	yes	—
997	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
998	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
999	C₂²×C₇	#585	1	2	yes	—
1000	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1001	C₄×C₇	—	2	2	no	—
1002	C₄×C₇	—	2	2	no	—
1003	C₄×C₇	—	2	2	no	—
1004	C₄×C₇	—	2	4	no	—
1005	C₄×C₇	—	2	2	no	—
1006	C₄×C₇	—	2	2	no	—
1007	C₄×C₇	—	2	4	no	—
1008	C₄×C₇	—	2	4	no	—
1009	C₄×C₇	—	2	2	no	—
1010	C₄×C₇	—	2	4	no	—
1011	C₄×C₇	—	2	2	no	—
1012	C₄×C₇	—	2	2	no	—
1013	C₄×C₇	—	2	4	no	—
1014	C₄×C₇	—	2	2	no	—
1015	C₄×C₇	—	2	2	no	—
1016	C₄×C₇	—	2	2	no	—
1017	C₄×C₇	C₂²×#41	1	4	yes	—
1018	C₂⁴	—	2	8	no	—
1019	C₂⁴	—	2	8	no	—
1020	C₂⁴	—	2	8	no	—
1021	C₂⁴	—	4	4	no	—
1022	C₂⁴	—	4	4	no	—
1023	C₂⁴	—	4	4	no	—
1024	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1025	C₂⁴	C₂⁴×C₇	1	2	yes	—
1026	C₂⁴	C₂⁴×C₇	1	2	yes	—
1027	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1028	C₂⁴	C₂⁴×C₇	1	8	yes	—
1029	C₂⁴	C₂⁴×C₇	1	2	yes	—
1030	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1031	C₂⁴	C₂⁴×C₇	1	8	yes	—
1032	#41	—	2	32	no	—
1033	#41	—	4	32	no	—
1034	C₂×Q₈	—	2	4	no	—
1035	C₂×Q₈	—	4	4	no	—
1036	C₂×Q₈	—	4	2	no	—
1037	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1038	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1039	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1040	C₂×D₄	—	2	8	no	—
1041	C₂×D₄	—	2	8	no	—
1042	C₂×D₄	—	2	8	no	—
1043	C₂×D₄	—	2	4	no	—
1044	C₂×D₄	—	2	8	no	—
1045	C₂×D₄	—	2	4	no	—
1046	C₂×D₄	—	2	32	no	—
1047	C₂×D₄	—	2	32	no	—
1048	C₂×D₄	—	2	4	no	—
1049	C₂×D₄	—	2	4	no	—
1050	C₂×D₄	—	4	4	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	2	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	4	32	no	—
1057	C₂×D₄	C₇×#41	1	8	yes	complemented
1058	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1059	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1060	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1061	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1062	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1063	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1064	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1065	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1066	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1067	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1068	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1069	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1070	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1071	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1072	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1073	C₂²×C₄	—	2	8	no	—
1074	C₂²×C₄	—	2	4	no	—
1075	C₂²×C₄	—	2	8	no	—
1076	C₂²×C₄	—	2	4	no	—
1077	C₂²×C₄	—	2	4	no	—
1078	C₂²×C₄	—	2	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	—	4	32	no	—
1084	C₂²×C₄	—	4	4	no	—
1085	C₂²×C₄	—	4	4	no	—
1086	C₂²×C₄	—	4	2	no	—
1087	C₂²×C₄	—	4	4	no	—
1088	C₂²×C₄	—	4	4	no	—
1089	C₂²×C₄	—	4	4	no	—
1090	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1093	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1096	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1098	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1101	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1103	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1105	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1106	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1108	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1109	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1110	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1111	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1112	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1113	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1114	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1115	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1116	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1117	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1118	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1119	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1120	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1121	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1122	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1123	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1124	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1125	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1126	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1127	C₄⋊C₄	C₂⁴×C₇	1	8	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	8	yes	—
1132	C₄⋊C₄	C₂⁴×C₇	1	8	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	4	yes	—
1137	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1138	C₄⋊C₄	C₂⁴×C₇	1	4	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	4	yes	—
1143	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1144	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1145	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1146	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1147	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1148	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1149	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1150	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1151	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1152	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1153	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1154	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1155	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1156	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1157	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1158	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1159	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1160	C₂²⋊C₄	C₂⁴×C₇	1	8	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	8	yes	—
1165	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1166	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1167	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1168	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1169	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1170	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1171	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1172	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1173	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1174	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1175	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1176	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1177	C₄²	C₂⁴×C₇	1	4	yes	—
1178	C₄²	C₂⁴×C₇	1	4	yes	—
1179	C₄²	C₂⁴×C₇	1	4	yes	—
1180	C₄²	C₂⁴×C₇	1	4	yes	—
1181	C₄²	C₂⁴×C₇	1	8	yes	—
1182	C₄²	C₂⁴×C₇	1	8	yes	—
1183	C₄²	C₂⁴×C₇	1	8	yes	—
1184	C₄²	C₂⁴×C₇	1	4	yes	—
1185	C₄²	C₂⁴×C₇	1	4	yes	—
1186	C₂×C₇	—	2	4	no	—
1187	C₂×C₇	—	2	8	no	—
1188	C₂×C₇	—	4	2	no	—
1189	C₂×C₇	—	4	4	no	—
1190	C₂×C₇	—	4	4	no	—
1191	C₂×C₇	—	4	2	no	—
1192	C₂×C₇	#3513	1	4	yes	direct product factor
1193	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1194	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1195	C₂×C₇	C₂×#585	1	1	yes	characteristic
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	4	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	4	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	2	no	—
1202	C₂³	—	2	16	no	—
1203	C₂³	—	2	4	no	—
1204	C₂³	—	2	4	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	2	16	no	—
1207	C₂³	—	2	4	no	—
1208	C₂³	—	2	4	no	—
1209	C₂³	—	2	2	no	—
1210	C₂³	—	2	4	no	—
1211	C₂³	—	2	2	no	—
1212	C₂³	—	2	4	no	—
1213	C₂³	—	2	2	no	—
1214	C₂³	—	2	16	no	—
1215	C₂³	—	4	8	no	—
1216	C₂³	—	4	8	no	—
1217	C₂³	—	4	8	no	—
1218	C₂³	—	4	32	no	—
1219	C₂³	—	8	16	no	—
1220	C₂³	C₂×C₇×#41	1	8	yes	—
1221	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
1222	C₂³	C₂⁵×C₇	1	2	yes	—
1223	C₂³	C₂⁵×C₇	1	4	yes	—
1224	C₂³	C₂⁵×C₇	1	4	yes	—
1225	C₂³	C₂⁵×C₇	1	2	yes	—
1226	C₂³	C₂⁵×C₇	1	4	yes	—
1227	C₂³	C₂⁵×C₇	1	2	yes	—
1228	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1229	Q₈	—	2	8	no	—
1230	Q₈	—	4	4	no	—
1231	Q₈	—	4	8	no	—
1232	D₄	—	2	16	no	—
1233	D₄	—	2	16	no	—
1234	D₄	—	2	16	no	—
1235	D₄	—	2	8	no	—
1236	D₄	—	2	16	no	—
1237	D₄	—	2	8	no	—
1238	D₄	—	2	8	no	—
1239	D₄	—	2	8	no	—
1240	D₄	—	4	8	no	—
1241	D₄	—	4	8	no	—
1242	D₄	—	4	8	no	—
1243	D₄	—	4	4	no	—
1244	D₄	—	4	8	no	—
1245	D₄	—	4	8	no	—
1246	D₄	C₂×C₇×#41	1	16	yes	complemented
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	16	no	—
1252	C₂×C₄	—	2	8	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	16	no	—
1258	C₂×C₄	—	2	2	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	2	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	8	no	—
1267	C₂×C₄	—	2	8	no	—
1268	C₂×C₄	—	2	8	no	—
1269	C₂×C₄	—	4	8	no	—
1270	C₂×C₄	—	4	8	no	—
1271	C₂×C₄	—	4	8	no	—
1272	C₂×C₄	—	4	8	no	—
1273	C₂×C₄	—	4	8	no	—
1274	C₂×C₄	—	4	4	no	—
1275	C₂×C₄	—	4	8	no	—
1276	C₂×C₄	—	4	8	no	—
1277	C₂×C₄	—	4	8	no	—
1278	C₂×C₄	—	4	8	no	—
1279	C₂×C₄	C₂×C₇×#41	1	4	yes	—
1280	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1281	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1282	C₂×C₄	C₂⁵×C₇	1	4	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	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1287	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1288	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1289	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1290	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1291	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1292	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1293	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1294	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1295	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1296	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1297	C₇	C₂×#3513	1	1	yes	characteristic, direct product factor, Sylow
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	4	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	4	no	—
1302	C₂²	—	2	8	no	—
1303	C₂²	—	2	16	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	2	no	—
1306	C₂²	—	2	4	no	—
1307	C₂²	—	2	4	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	4	no	—
1311	C₂²	—	2	2	no	—
1312	C₂²	—	2	4	no	—
1313	C₂²	—	2	2	no	—
1314	C₂²	—	2	4	no	—
1315	C₂²	—	2	2	no	—
1316	C₂²	—	4	32	no	—
1317	C₂²	—	4	8	no	—
1318	C₂²	—	4	4	no	—
1319	C₂²	—	4	8	no	—
1320	C₂²	—	4	4	no	—
1321	C₂²	—	8	16	no	—
1322	C₂²	C₂²×C₇×#41	1	8	yes	—
1323	C₂²	C₂²×C₇×#41	1	2	yes	—
1324	C₂²	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1325	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1326	C₂²	C₇×#585	1	2	yes	—
1327	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	2	4	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	4	no	—
1335	C₄	—	2	4	no	—
1336	C₄	—	2	2	no	—
1337	C₄	—	2	4	no	—
1338	C₄	—	2	2	no	—
1339	C₄	—	2	2	no	—
1340	C₄	—	2	4	no	—
1341	C₄	—	2	2	no	—
1342	C₄	—	2	2	no	—
1343	C₄	—	2	2	no	—
1344	C₄	C₂²×C₇×#41	1	4	yes	—
1345	C₂	—	2	4	no	—
1346	C₂	—	2	8	no	—
1347	C₂	—	4	4	no	—
1348	C₂	—	4	2	no	—
1349	C₂	—	4	4	no	—
1350	C₂	—	4	2	no	—
1351	C₂	C₇×#3513	1	4	yes	direct product factor
1352	C₂	C₂³×C₇×#41	1	1	yes	characteristic
1353	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1354	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×#3513	C₂	direct (N × H)
2. C₂×C₇×#559	C₂	semidirect
3. C₂×C₇×#554	C₂	semidirect
4. C₂×C₇×#553	C₂	semidirect
5. C₂×C₇×#553	C₂	semidirect
6. C₂×C₇×#552	C₂	semidirect
7. C₂×C₇×#551	C₂	semidirect
8. C₂×C₇×#551	C₂	semidirect
9. C₂×C₇×#547	C₂	semidirect
10. C₂×C₇×#546	C₂	semidirect
11. C₂×C₇×#546	C₂	semidirect
12. C₂×C₇×#546	C₂	semidirect
13. C₂×C₇×D₄²	C₂	semidirect
14. C₂×C₇×#542	C₂	semidirect
15. C₂×C₇×#540	C₂	semidirect
16. C₂×C₇×#539	C₂	semidirect
17. C₂×C₇×#538	C₂	semidirect
18. C₂×C₇×#529	C₂	semidirect
19. C₂×C₇×#529	C₂	semidirect
20. C₂×C₇×#525	C₂	semidirect
21. C₂²×C₇×#123	C₂	semidirect
22. C₂×C₇×#520	C₂	semidirect
23. C₂×C₇×#518	C₂	semidirect
24. C₂²×C₄×C₇×D₄	C₂	semidirect
26. C₂²×C₇×#41	C₂²	semidirect
30. C₂⁴×C₄×C₇	C₂²	semidirect
31. C₇×#559	C₂²	semidirect
32. C₇×#554	C₂²	semidirect
33. C₇×#553	C₂²	semidirect
34. C₇×#553	C₂²	semidirect
35. C₇×#552	C₂²	semidirect
36. C₇×#551	C₂²	semidirect
37. C₇×#551	C₂²	semidirect
38. C₇×#547	C₂²	semidirect
39. C₇×#546	C₂²	semidirect
40. C₇×#546	C₂²	semidirect
41. C₇×#546	C₂²	semidirect
42. C₇×D₄²	C₂²	semidirect
43. C₇×#542	C₂²	semidirect
44. C₇×#540	C₂²	semidirect
45. C₇×#539	C₂²	semidirect
46. C₇×#538	C₂²	semidirect
47. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
49. C₇×#529	C₂²	semidirect
50. C₇×#529	C₂²	semidirect
51. C₂×C₇×#126	C₂²	semidirect
52. C₂×C₇×#126	C₂²	semidirect
53. C₂×C₇×#126	C₂²	semidirect
54. C₂×C₇×#126	C₂²	semidirect
55. C₂×C₇×#126	C₂²	semidirect
56. C₂×C₇×#126	C₂²	semidirect
57. C₂×C₇×#125	C₂²	semidirect
58. C₂×C₇×#125	C₂²	semidirect
59. C₂×C₇×#125	C₂²	semidirect
60. C₂×C₇×#125	C₂²	semidirect
61. C₂×C₇×#124	C₂²	semidirect
62. C₂×C₇×#124	C₂²	semidirect
63. C₂×C₇×#124	C₂²	semidirect
64. C₂×C₇×#124	C₂²	semidirect
65. C₂×C₇×#124	C₂²	semidirect
66. C₇×#525	C₂²	semidirect
69. C₂×C₇×#123	C₂²	semidirect
70. C₂×C₇×#123	C₂²	semidirect
71. C₂×C₇×#123	C₂²	semidirect
72. C₂×C₇×#123	C₂²	semidirect
73. C₂×C₇×#123	C₂²	semidirect
74. C₂×C₇×#123	C₂²	semidirect
75. C₂×C₇×#123	C₂²	semidirect
76. C₂×C₇×#123	C₂²	semidirect
77. C₂×C₇×#123	C₂²	semidirect
78. C₂×C₇×#123	C₂²	semidirect
79. C₂×C₇×#123	C₂²	semidirect
80. C₂×C₇×#123	C₂²	semidirect
81. C₂×C₇×#123	C₂²	semidirect
82. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
83. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
84. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
85. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
86. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
87. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
88. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
89. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
94. C₂×C₇×#121	C₂²	semidirect
95. C₂×C₇×#121	C₂²	semidirect
96. C₂×C₇×#121	C₂²	semidirect
97. C₂×C₇×#121	C₂²	semidirect
98. C₂×C₇×#121	C₂²	semidirect
99. C₂×C₇×#121	C₂²	semidirect
100. C₂×C₇×#121	C₂²	semidirect
103. C₂×C₇×#120	C₂²	semidirect
104. C₂×C₇×#120	C₂²	semidirect
105. C₇×#520	C₂²	semidirect
106. C₇×#518	C₂²	semidirect
107. C₂×C₄×C₇×Q₈	C₂²	semidirect
108. C₂×C₄×C₇×Q₈	C₂²	semidirect
109. C₂×C₄×C₇×Q₈	C₂²	semidirect
115. C₂×C₄×C₇×D₄	C₂²	semidirect
116. C₂×C₄×C₇×D₄	C₂²	semidirect
117. C₂×C₄×C₇×D₄	C₂²	semidirect
118. C₂×C₄×C₇×D₄	C₂²	semidirect
119. C₂×C₄×C₇×D₄	C₂²	semidirect
120. C₂×C₄×C₇×D₄	C₂²	semidirect
121. C₂×C₄×C₇×D₄	C₂²	semidirect
122. C₂×C₄×C₇×D₄	C₂²	semidirect
123. C₂×C₄×C₇×D₄	C₂²	semidirect
124. C₂×C₄×C₇×D₄	C₂²	semidirect
125. C₂×C₄×C₇×D₄	C₂²	semidirect
126. C₂×C₄×C₇×D₄	C₂²	semidirect
127. C₂×C₄×C₇×D₄	C₂²	semidirect
128. C₂×C₄×C₇×D₄	C₂²	semidirect
129. C₂×C₄×C₇×D₄	C₂²	semidirect
130. C₂×C₄×C₇×D₄	C₂²	semidirect
131. C₂×C₇×#117	C₂²	semidirect
132. C₂×C₇×#117	C₂²	semidirect
133. C₂×C₇×#117	C₂²	semidirect
134. C₂×C₇×#117	C₂²	semidirect
135. C₂×C₇×#117	C₂²	semidirect
136. C₂×C₇×#117	C₂²	semidirect
137. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
138. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
139. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
140. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
141. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
142. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
143. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
144. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
145. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
146. C₂²×C₄²×C₇	C₂²	semidirect
147. C₂×#3513	C₇	direct (N × H)
153. C₂×C₇×#41	C₂³	semidirect
195. C₂³×C₄×C₇	C₂³	semidirect
196. C₇×C₄⋊Q₈	C₂³	semidirect
198. C₇×#126	C₂³	semidirect
199. C₇×#126	C₂³	semidirect
200. C₇×#126	C₂³	semidirect
201. C₇×#126	C₂³	semidirect
202. C₇×#126	C₂³	semidirect
203. C₇×#126	C₂³	semidirect
204. C₇×#125	C₂³	semidirect
205. C₇×#125	C₂³	semidirect
206. C₇×#125	C₂³	semidirect
207. C₇×#125	C₂³	semidirect
208. C₇×#124	C₂³	semidirect
209. C₇×#124	C₂³	semidirect
210. C₇×#124	C₂³	semidirect
211. C₇×#124	C₂³	semidirect
212. C₇×#124	C₂³	semidirect
215. C₇×#123	C₂³	semidirect
216. C₇×#123	C₂³	semidirect
217. C₇×#123	C₂³	semidirect
218. C₇×#123	C₂³	semidirect
219. C₇×#123	C₂³	semidirect
220. C₇×#123	C₂³	semidirect
221. C₇×#123	C₂³	semidirect
222. C₇×#123	C₂³	semidirect
223. C₇×#123	C₂³	semidirect
224. C₇×#123	C₂³	semidirect
225. C₇×#123	C₂³	semidirect
226. C₇×#123	C₂³	semidirect
227. C₇×C₂²⋊Q₈	C₂³	semidirect
228. C₇×C₂²⋊Q₈	C₂³	semidirect
229. C₇×C₂²⋊Q₈	C₂³	semidirect
230. C₇×C₂²⋊Q₈	C₂³	semidirect
231. C₇×C₂²⋊Q₈	C₂³	semidirect
232. C₇×C₂²⋊Q₈	C₂³	semidirect
233. C₇×C₂²⋊Q₈	C₂³	semidirect
234. C₇×C₂²⋊Q₈	C₂³	semidirect
239. C₇×#121	C₂³	semidirect
240. C₇×#121	C₂³	semidirect
241. C₇×#121	C₂³	semidirect
242. C₇×#121	C₂³	semidirect
243. C₇×#121	C₂³	semidirect
244. C₇×#121	C₂³	semidirect
245. C₇×#121	C₂³	semidirect
248. C₇×#120	C₂³	semidirect
249. C₇×#120	C₂³	semidirect
250. C₄×C₇×Q₈	C₂³	semidirect
251. C₄×C₇×Q₈	C₂³	semidirect
252. C₄×C₇×Q₈	C₂³	semidirect
258. C₄×C₇×D₄	C₂³	semidirect
259. C₄×C₇×D₄	C₂³	semidirect
260. C₄×C₇×D₄	C₂³	semidirect
261. C₄×C₇×D₄	C₂³	semidirect
262. C₄×C₇×D₄	C₂³	semidirect
263. C₄×C₇×D₄	C₂³	semidirect
264. C₄×C₇×D₄	C₂³	semidirect
265. C₄×C₇×D₄	C₂³	semidirect
266. C₄×C₇×D₄	C₂³	semidirect
267. C₄×C₇×D₄	C₂³	semidirect
268. C₄×C₇×D₄	C₂³	semidirect
269. C₄×C₇×D₄	C₂³	semidirect
270. C₄×C₇×D₄	C₂³	semidirect
271. C₄×C₇×D₄	C₂³	semidirect
272. C₄×C₇×D₄	C₂³	semidirect
273. C₇×#117	C₂³	semidirect
274. C₇×#117	C₂³	semidirect
275. C₇×#117	C₂³	semidirect
276. C₇×#117	C₂³	semidirect
277. C₇×#117	C₂³	semidirect
278. C₇×#117	C₂³	semidirect
304. C₂×C₇×C₄⋊C₄	C₂³	semidirect
305. C₂×C₇×C₄⋊C₄	C₂³	semidirect
306. C₂×C₇×C₄⋊C₄	C₂³	semidirect
307. C₂×C₇×C₄⋊C₄	C₂³	semidirect
337. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
338. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
339. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
340. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
341. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
351. C₂×C₄²×C₇	C₂³	semidirect
352. #3513	C₂×C₇	direct (N × H)
353. C₂×#559	C₂×C₇	semidirect
354. C₂×#554	C₂×C₇	semidirect
355. C₂×#553	C₂×C₇	semidirect
356. C₂×#553	C₂×C₇	semidirect
357. C₂×#552	C₂×C₇	semidirect
358. C₂×#551	C₂×C₇	semidirect
359. C₂×#551	C₂×C₇	semidirect
360. C₂×#547	C₂×C₇	semidirect
361. C₂×#546	C₂×C₇	semidirect
362. C₂×#546	C₂×C₇	semidirect
363. C₂×#546	C₂×C₇	semidirect
364. C₂×D₄²	C₂×C₇	semidirect
365. C₂×#542	C₂×C₇	semidirect
366. C₂×#540	C₂×C₇	semidirect
367. C₂×#539	C₂×C₇	semidirect
368. C₂×#538	C₂×C₇	semidirect
369. C₂×#529	C₂×C₇	semidirect
370. C₂×#529	C₂×C₇	semidirect
371. C₂×#525	C₂×C₇	semidirect
372. C₂²×#123	C₂×C₇	semidirect
373. C₂×#520	C₂×C₇	semidirect
374. C₂×#518	C₂×C₇	semidirect
375. C₂²×C₄×D₄	C₂×C₇	semidirect
415. C₂×C₇×D₄	#41	semidirect
545. C₂²×#41	C₂²×C₇	semidirect
549. C₂⁴×C₄	C₂²×C₇	semidirect
550. #559	C₂²×C₇	semidirect
551. #554	C₂²×C₇	semidirect
552. #553	C₂²×C₇	semidirect
553. #553	C₂²×C₇	semidirect
554. #552	C₂²×C₇	semidirect
555. #551	C₂²×C₇	semidirect
556. #551	C₂²×C₇	semidirect
557. #547	C₂²×C₇	semidirect
558. #546	C₂²×C₇	semidirect
559. #546	C₂²×C₇	semidirect
560. #546	C₂²×C₇	semidirect
561. D₄²	C₂²×C₇	semidirect
562. #542	C₂²×C₇	semidirect
563. #540	C₂²×C₇	semidirect
564. #539	C₂²×C₇	semidirect
565. #538	C₂²×C₇	semidirect
566. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
568. #529	C₂²×C₇	semidirect
569. #529	C₂²×C₇	semidirect
570. C₂×#126	C₂²×C₇	semidirect
571. C₂×#126	C₂²×C₇	semidirect
572. C₂×#126	C₂²×C₇	semidirect
573. C₂×#126	C₂²×C₇	semidirect
574. C₂×#126	C₂²×C₇	semidirect
575. C₂×#126	C₂²×C₇	semidirect
576. C₂×#125	C₂²×C₇	semidirect
577. C₂×#125	C₂²×C₇	semidirect
578. C₂×#125	C₂²×C₇	semidirect
579. C₂×#125	C₂²×C₇	semidirect
580. C₂×#124	C₂²×C₇	semidirect
581. C₂×#124	C₂²×C₇	semidirect
582. C₂×#124	C₂²×C₇	semidirect
583. C₂×#124	C₂²×C₇	semidirect
584. C₂×#124	C₂²×C₇	semidirect
585. #525	C₂²×C₇	semidirect
588. C₂×#123	C₂²×C₇	semidirect
589. C₂×#123	C₂²×C₇	semidirect
590. C₂×#123	C₂²×C₇	semidirect
591. C₂×#123	C₂²×C₇	semidirect
592. C₂×#123	C₂²×C₇	semidirect
593. C₂×#123	C₂²×C₇	semidirect
594. C₂×#123	C₂²×C₇	semidirect
595. C₂×#123	C₂²×C₇	semidirect
596. C₂×#123	C₂²×C₇	semidirect
597. C₂×#123	C₂²×C₇	semidirect
598. C₂×#123	C₂²×C₇	semidirect
599. C₂×#123	C₂²×C₇	semidirect
600. C₂×#123	C₂²×C₇	semidirect
601. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
602. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
603. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
604. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
605. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
606. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
607. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
608. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
613. C₂×#121	C₂²×C₇	semidirect
614. C₂×#121	C₂²×C₇	semidirect
615. C₂×#121	C₂²×C₇	semidirect
616. C₂×#121	C₂²×C₇	semidirect
617. C₂×#121	C₂²×C₇	semidirect
618. C₂×#121	C₂²×C₇	semidirect
619. C₂×#121	C₂²×C₇	semidirect
622. C₂×#120	C₂²×C₇	semidirect
623. C₂×#120	C₂²×C₇	semidirect
624. #520	C₂²×C₇	semidirect
625. #518	C₂²×C₇	semidirect
626. C₂×C₄×Q₈	C₂²×C₇	semidirect
627. C₂×C₄×Q₈	C₂²×C₇	semidirect
628. C₂×C₄×Q₈	C₂²×C₇	semidirect
634. C₂×C₄×D₄	C₂²×C₇	semidirect
635. C₂×C₄×D₄	C₂²×C₇	semidirect
636. C₂×C₄×D₄	C₂²×C₇	semidirect
637. C₂×C₄×D₄	C₂²×C₇	semidirect
638. C₂×C₄×D₄	C₂²×C₇	semidirect
639. C₂×C₄×D₄	C₂²×C₇	semidirect
640. C₂×C₄×D₄	C₂²×C₇	semidirect
641. C₂×C₄×D₄	C₂²×C₇	semidirect
642. C₂×C₄×D₄	C₂²×C₇	semidirect
643. C₂×C₄×D₄	C₂²×C₇	semidirect
644. C₂×C₄×D₄	C₂²×C₇	semidirect
645. C₂×C₄×D₄	C₂²×C₇	semidirect
646. C₂×C₄×D₄	C₂²×C₇	semidirect
647. C₂×C₄×D₄	C₂²×C₇	semidirect
648. C₂×C₄×D₄	C₂²×C₇	semidirect
649. C₂×C₄×D₄	C₂²×C₇	semidirect
650. C₂×#117	C₂²×C₇	semidirect
651. C₂×#117	C₂²×C₇	semidirect
652. C₂×#117	C₂²×C₇	semidirect
653. C₂×#117	C₂²×C₇	semidirect
654. C₂×#117	C₂²×C₇	semidirect
655. C₂×#117	C₂²×C₇	semidirect
656. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
657. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
658. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
659. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
660. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
661. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
662. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
663. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
664. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
665. C₂²×C₄²	C₂²×C₇	semidirect
716. C₇×D₄	C₂×#41	semidirect
772. C₂×#41	C₂³×C₇	semidirect
814. C₂³×C₄	C₂³×C₇	semidirect
815. C₄⋊Q₈	C₂³×C₇	semidirect
817. #126	C₂³×C₇	semidirect
818. #126	C₂³×C₇	semidirect
819. #126	C₂³×C₇	semidirect
820. #126	C₂³×C₇	semidirect
821. #126	C₂³×C₇	semidirect
822. #126	C₂³×C₇	semidirect
823. #125	C₂³×C₇	semidirect
824. #125	C₂³×C₇	semidirect
825. #125	C₂³×C₇	semidirect
826. #125	C₂³×C₇	semidirect
827. #124	C₂³×C₇	semidirect
828. #124	C₂³×C₇	semidirect
829. #124	C₂³×C₇	semidirect
830. #124	C₂³×C₇	semidirect
831. #124	C₂³×C₇	semidirect
834. #123	C₂³×C₇	semidirect
835. #123	C₂³×C₇	semidirect
836. #123	C₂³×C₇	semidirect
837. #123	C₂³×C₇	semidirect
838. #123	C₂³×C₇	semidirect
839. #123	C₂³×C₇	semidirect
840. #123	C₂³×C₇	semidirect
841. #123	C₂³×C₇	semidirect
842. #123	C₂³×C₇	semidirect
843. #123	C₂³×C₇	semidirect
844. #123	C₂³×C₇	semidirect
845. #123	C₂³×C₇	semidirect
846. C₂²⋊Q₈	C₂³×C₇	semidirect
847. C₂²⋊Q₈	C₂³×C₇	semidirect
848. C₂²⋊Q₈	C₂³×C₇	semidirect
849. C₂²⋊Q₈	C₂³×C₇	semidirect
850. C₂²⋊Q₈	C₂³×C₇	semidirect
851. C₂²⋊Q₈	C₂³×C₇	semidirect
852. C₂²⋊Q₈	C₂³×C₇	semidirect
853. C₂²⋊Q₈	C₂³×C₇	semidirect
858. #121	C₂³×C₇	semidirect
859. #121	C₂³×C₇	semidirect
860. #121	C₂³×C₇	semidirect
861. #121	C₂³×C₇	semidirect
862. #121	C₂³×C₇	semidirect
863. #121	C₂³×C₇	semidirect
864. #121	C₂³×C₇	semidirect
867. #120	C₂³×C₇	semidirect
868. #120	C₂³×C₇	semidirect
869. C₄×Q₈	C₂³×C₇	semidirect
870. C₄×Q₈	C₂³×C₇	semidirect
871. C₄×Q₈	C₂³×C₇	semidirect
877. C₄×D₄	C₂³×C₇	semidirect
878. C₄×D₄	C₂³×C₇	semidirect
879. C₄×D₄	C₂³×C₇	semidirect
880. C₄×D₄	C₂³×C₇	semidirect
881. C₄×D₄	C₂³×C₇	semidirect
882. C₄×D₄	C₂³×C₇	semidirect
883. C₄×D₄	C₂³×C₇	semidirect
884. C₄×D₄	C₂³×C₇	semidirect
885. C₄×D₄	C₂³×C₇	semidirect
886. C₄×D₄	C₂³×C₇	semidirect
887. C₄×D₄	C₂³×C₇	semidirect
888. C₄×D₄	C₂³×C₇	semidirect
889. C₄×D₄	C₂³×C₇	semidirect
890. C₄×D₄	C₂³×C₇	semidirect
891. C₄×D₄	C₂³×C₇	semidirect
892. #117	C₂³×C₇	semidirect
893. #117	C₂³×C₇	semidirect
894. #117	C₂³×C₇	semidirect
895. #117	C₂³×C₇	semidirect
896. #117	C₂³×C₇	semidirect
897. #117	C₂³×C₇	semidirect
923. C₂×C₄⋊C₄	C₂³×C₇	semidirect
924. C₂×C₄⋊C₄	C₂³×C₇	semidirect
925. C₂×C₄⋊C₄	C₂³×C₇	semidirect
926. C₂×C₄⋊C₄	C₂³×C₇	semidirect
956. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
957. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
958. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
959. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
960. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
970. C₂×C₄²	C₂³×C₇	semidirect
1057. C₂×D₄	C₇×#41	semidirect
1192. C₂×C₇	#3513	direct (N × H)
1246. D₄	C₂×C₇×#41	semidirect
1297. C₇	C₂×#3513	direct (N × H)
1351. C₂	C₇×#3513	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×#3513	2
C₂×C₇×#559	2
C₂×C₇×#554	2
C₂×C₇×#553	2
C₂×C₇×#552	2
C₂×C₇×#551	2
C₂×C₇×#547	2
C₂×C₇×#546	2
C₂×C₇×D₄²	2
C₂×C₇×#542	2
C₂×C₇×#540	2
C₂×C₇×#539	2
C₂×C₇×#538	2
C₂×C₇×#529	2
C₂×C₇×#525	2
C₂²×C₇×#123	2
C₂×C₇×#520	2
C₂×C₇×#518	2
C₂²×C₄×C₇×D₄	2
C₂×#3513	7

Subgroups — C2×C7×#3513 #13239986

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3513 #13239986