Subgroups — C₂×C₇×#3533 #13239942

Order 1792.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3533	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₇×#563	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₇×#562	C₂	1	2	yes	maximal, complemented
4	C₂×C₇×#560	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₇×#559	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₇×#553	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#552	C₂	1	2	yes	maximal, complemented
8	C₂×C₇×#551	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×#551	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₇×#547	C₂	1	2	yes	maximal, complemented
11	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
12	C₂×C₇×#542	C₂	1	2	yes	maximal, complemented
13	C₂×C₇×#540	C₂	1	2	yes	maximal, complemented
14	C₂×C₇×#539	C₂	1	2	yes	maximal, complemented
15	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
16	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
17	C₂×C₇×#535	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₇×#534	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₇×#525	C₂	1	2	yes	maximal, complemented
20	C₂²×C₇×#123	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×C₇×#41	C₂²	1	2	yes	—
22	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
23	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
24	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
25	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic, complemented
26	C₇×#563	C₂²	1	16	yes	complemented
27	C₇×#562	C₂²	1	32	yes	complemented
28	C₇×#560	C₂²	1	16	yes	complemented
29	C₇×#559	C₂²	1	16	yes	complemented
30	C₇×#553	C₂²	1	32	yes	complemented
31	C₇×#552	C₂²	1	32	yes	complemented
32	C₇×#551	C₂²	1	32	yes	complemented
33	C₇×#551	C₂²	1	16	yes	complemented
34	C₇×#547	C₂²	1	32	yes	complemented
35	C₇×#546	C₂²	1	32	yes	complemented
36	C₇×#542	C₂²	1	32	yes	complemented
37	C₇×#540	C₂²	1	32	yes	complemented
38	C₇×#539	C₂²	1	32	yes	complemented
39	C₇×#538	C₂²	1	32	yes	complemented
40	C₇×#538	C₂²	1	32	yes	complemented
41	C₇×#535	C₂²	1	16	yes	complemented
42	C₇×#534	C₂²	1	16	yes	complemented
43	C₂×C₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
44	C₂×C₇×#127	C₂²	1	1	yes	characteristic
45	C₂×C₇×#127	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₇×#126	C₂²	1	2	yes	complemented
47	C₂×C₇×#126	C₂²	1	2	yes	complemented
48	C₂×C₇×#126	C₂²	1	2	yes	complemented
49	C₂×C₇×#126	C₂²	1	2	yes	complemented
50	C₂×C₇×#126	C₂²	1	2	yes	complemented
51	C₂×C₇×#126	C₂²	1	2	yes	complemented
52	C₂×C₇×#125	C₂²	1	2	yes	complemented
53	C₂×C₇×#125	C₂²	1	2	yes	complemented
54	C₂×C₇×#125	C₂²	1	2	yes	complemented
55	C₂×C₇×#124	C₂²	1	1	yes	characteristic
56	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₇×#124	C₂²	1	2	yes	complemented
58	C₂×C₇×#124	C₂²	1	2	yes	complemented
59	C₂×C₇×#124	C₂²	1	2	yes	complemented
60	C₂×C₇×#124	C₂²	1	2	yes	complemented
61	C₇×#525	C₂²	1	32	yes	complemented
62	C₂×C₇×#123	C₂²	1	2	yes	—
63	C₂×C₇×#123	C₂²	1	1	yes	characteristic
64	C₂×C₇×#123	C₂²	1	1	yes	characteristic
65	C₂×C₇×#123	C₂²	1	2	yes	—
66	C₂×C₇×#123	C₂²	1	1	yes	characteristic
67	C₂×C₇×#123	C₂²	1	2	yes	—
68	C₂×C₇×#123	C₂²	1	1	yes	characteristic
69	C₂×C₇×#123	C₂²	1	2	yes	complemented
70	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₇×#123	C₂²	1	1	yes	characteristic, 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	2	yes	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	16	yes	complemented
81	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	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	2	yes	complemented
85	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	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×#121	C₂²	1	2	yes	—
90	C₂×C₇×#121	C₂²	1	2	yes	—
91	C₂×C₇×#121	C₂²	1	2	yes	—
92	C₂×C₇×#121	C₂²	1	2	yes	—
93	C₂×C₇×#121	C₂²	1	2	yes	complemented
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	2	yes	complemented
99	C₂×C₇×#121	C₂²	1	2	yes	complemented
100	C₂×C₇×#121	C₂²	1	2	yes	complemented
101	C₂×C₇×#120	C₂²	1	2	yes	—
102	C₂×C₇×#120	C₂²	1	1	yes	characteristic
103	C₂×C₇×#120	C₂²	1	1	yes	characteristic
104	C₂×C₇×#120	C₂²	1	2	yes	—
105	C₂×C₇×#120	C₂²	1	2	yes	complemented
106	C₂×C₇×#120	C₂²	1	2	yes	complemented
107	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
108	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
109	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
110	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
111	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
112	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
113	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
114	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
115	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
116	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
117	C₂×C₇×#117	C₂²	1	2	yes	complemented
118	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₇×#117	C₂²	1	2	yes	complemented
120	C₂×C₇×#117	C₂²	1	2	yes	complemented
121	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
122	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
123	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
124	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
125	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
126	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
127	C₂×#3533	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
128	C₂⁵×C₇	C₂³	1	1	yes	characteristic
129	C₂⁵×C₇	C₂³	1	1	yes	characteristic
130	C₂⁵×C₇	C₂³	1	1	yes	characteristic
131	C₂×C₇×#41	—	4	8	no	—
132	C₂×C₇×#41	—	4	4	no	—
133	C₂×C₇×#41	C₂³	1	16	yes	—
134	C₂×C₇×#41	C₂³	1	8	yes	complemented
135	C₂²×C₇×Q₈	C₂³	1	2	yes	—
136	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
137	C₂²×C₇×Q₈	C₂³	1	2	yes	—
138	C₂²×C₇×D₄	—	4	4	no	—
139	C₂²×C₇×D₄	—	4	4	no	—
140	C₂²×C₇×D₄	C₂³	1	2	yes	—
141	C₂²×C₇×D₄	C₂³	1	2	yes	—
142	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
143	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
144	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
145	C₂²×C₇×D₄	C₂³	1	2	yes	—
146	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
147	C₂²×C₇×D₄	C₂³	1	8	yes	—
148	C₂²×C₇×D₄	C₂³	1	8	yes	—
149	C₂²×C₇×D₄	C₂³	1	2	yes	—
150	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
151	C₂²×C₇×D₄	C₂³	1	2	yes	—
152	C₂²×C₇×D₄	C₂³	1	2	yes	—
153	C₂²×C₇×D₄	C₂³	1	2	yes	—
154	C₂²×C₇×D₄	C₂³	1	2	yes	—
155	C₂²×C₇×D₄	C₂³	1	2	yes	—
156	C₂²×C₇×D₄	C₂³	1	2	yes	—
157	C₂²×C₇×D₄	C₂³	1	2	yes	—
158	C₂³×C₄×C₇	—	4	4	no	—
159	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₇	C₂³	1	2	yes	—
161	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₇	C₂³	1	2	yes	—
163	C₂³×C₄×C₇	C₂³	1	2	yes	—
164	C₂³×C₄×C₇	C₂³	1	2	yes	—
165	C₂³×C₄×C₇	C₂³	1	2	yes	—
166	C₂³×C₄×C₇	C₂³	1	2	yes	—
167	C₂³×C₄×C₇	C₂³	1	2	yes	—
168	C₂³×C₄×C₇	C₂³	1	2	yes	—
169	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₇	C₂³	1	2	yes	—
171	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
172	C₂³×C₄×C₇	C₂³	1	8	yes	complemented
173	C₇×C₄⋊Q₈	C₂³	1	16	yes	complemented
174	C₇×#127	C₂³	1	8	yes	—
175	C₇×#127	C₂³	1	8	yes	complemented
176	C₇×#126	C₂³	1	16	yes	complemented
177	C₇×#126	C₂³	1	16	yes	complemented
178	C₇×#126	C₂³	1	16	yes	complemented
179	C₇×#126	C₂³	1	16	yes	complemented
180	C₇×#126	C₂³	1	16	yes	complemented
181	C₇×#126	C₂³	1	16	yes	complemented
182	C₇×#125	C₂³	1	16	yes	complemented
183	C₇×#125	C₂³	1	16	yes	complemented
184	C₇×#125	C₂³	1	16	yes	complemented
185	C₇×#124	C₂³	1	8	yes	—
186	C₇×#124	C₂³	1	8	yes	complemented
187	C₇×#124	C₂³	1	16	yes	complemented
188	C₇×#124	C₂³	1	16	yes	complemented
189	C₇×#124	C₂³	1	16	yes	complemented
190	C₇×#124	C₂³	1	16	yes	complemented
191	C₇×#123	C₂³	1	16	yes	—
192	C₇×#123	C₂³	1	8	yes	—
193	C₇×#123	C₂³	1	8	yes	—
194	C₇×#123	C₂³	1	16	yes	—
195	C₇×#123	C₂³	1	8	yes	—
196	C₇×#123	C₂³	1	16	yes	—
197	C₇×#123	C₂³	1	8	yes	—
198	C₇×#123	C₂³	1	16	yes	complemented
199	C₇×#123	C₂³	1	8	yes	complemented
200	C₇×#123	C₂³	1	8	yes	complemented
201	C₇×#123	C₂³	1	16	yes	complemented
202	C₇×#123	C₂³	1	16	yes	complemented
203	C₇×#123	C₂³	1	16	yes	complemented
204	C₇×#123	C₂³	1	16	yes	complemented
205	C₇×#123	C₂³	1	16	yes	complemented
206	C₇×#123	C₂³	1	16	yes	complemented
207	C₇×#123	C₂³	1	16	yes	complemented
208	C₇×#123	C₂³	1	16	yes	complemented
209	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
210	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
211	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
212	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
213	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
214	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
215	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
216	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
217	C₇×#121	C₂³	1	16	yes	—
218	C₇×#121	C₂³	1	16	yes	—
219	C₇×#121	C₂³	1	16	yes	—
220	C₇×#121	C₂³	1	16	yes	—
221	C₇×#121	C₂³	1	16	yes	complemented
222	C₇×#121	C₂³	1	16	yes	complemented
223	C₇×#121	C₂³	1	16	yes	complemented
224	C₇×#121	C₂³	1	16	yes	complemented
225	C₇×#121	C₂³	1	16	yes	complemented
226	C₇×#121	C₂³	1	16	yes	complemented
227	C₇×#121	C₂³	1	16	yes	complemented
228	C₇×#121	C₂³	1	16	yes	complemented
229	C₇×#120	C₂³	1	16	yes	—
230	C₇×#120	C₂³	1	8	yes	—
231	C₇×#120	C₂³	1	8	yes	—
232	C₇×#120	C₂³	1	16	yes	—
233	C₇×#120	C₂³	1	16	yes	complemented
234	C₇×#120	C₂³	1	16	yes	complemented
235	C₄×C₇×Q₈	C₂³	1	16	yes	complemented
236	C₄×C₇×D₄	C₂³	1	16	yes	—
237	C₄×C₇×D₄	C₂³	1	16	yes	complemented
238	C₄×C₇×D₄	C₂³	1	16	yes	complemented
239	C₄×C₇×D₄	C₂³	1	16	yes	complemented
240	C₄×C₇×D₄	C₂³	1	16	yes	complemented
241	C₄×C₇×D₄	C₂³	1	16	yes	complemented
242	C₄×C₇×D₄	C₂³	1	16	yes	complemented
243	C₄×C₇×D₄	C₂³	1	16	yes	complemented
244	C₄×C₇×D₄	C₂³	1	16	yes	complemented
245	C₇×#117	C₂³	1	16	yes	complemented
246	C₇×#117	C₂³	1	8	yes	complemented
247	C₇×#117	C₂³	1	16	yes	complemented
248	C₇×#117	C₂³	1	16	yes	complemented
249	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
250	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
251	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
252	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
253	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
254	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
255	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
256	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
259	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
260	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
261	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
268	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
269	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
270	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
271	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
272	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
273	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
276	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
277	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
278	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
279	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
296	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
298	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
299	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
300	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
301	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₇	C₂³	1	2	yes	—
303	C₂×C₄²×C₇	C₂³	1	2	yes	—
304	C₂×C₄²×C₇	C₂³	1	2	yes	—
305	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₇	C₂³	1	2	yes	—
307	#3533	C₂×C₇	1	32	yes	direct product factor
308	C₂×#563	C₂×C₇	1	1	yes	characteristic, complemented
309	C₂×#562	C₂×C₇	1	2	yes	complemented
310	C₂×#560	C₂×C₇	1	1	yes	characteristic, complemented
311	C₂×#559	C₂×C₇	1	1	yes	characteristic, complemented
312	C₂×#553	C₂×C₇	1	2	yes	complemented
313	C₂×#552	C₂×C₇	1	2	yes	complemented
314	C₂×#551	C₂×C₇	1	2	yes	complemented
315	C₂×#551	C₂×C₇	1	1	yes	characteristic, complemented
316	C₂×#547	C₂×C₇	1	2	yes	complemented
317	C₂×#546	C₂×C₇	1	2	yes	complemented
318	C₂×#542	C₂×C₇	1	2	yes	complemented
319	C₂×#540	C₂×C₇	1	2	yes	complemented
320	C₂×#539	C₂×C₇	1	2	yes	complemented
321	C₂×#538	C₂×C₇	1	2	yes	complemented
322	C₂×#538	C₂×C₇	1	2	yes	complemented
323	C₂×#535	C₂×C₇	1	1	yes	characteristic, complemented
324	C₂×#534	C₂×C₇	1	1	yes	characteristic, complemented
325	C₂×#525	C₂×C₇	1	2	yes	complemented
326	C₂²×#123	C₂×C₇	1	1	yes	characteristic, complemented
327	C₂⁴×C₇	—	2	4	no	—
328	C₂⁴×C₇	—	2	4	no	—
329	C₂⁴×C₇	—	4	4	no	—
330	C₂⁴×C₇	—	4	2	no	—
331	C₂⁴×C₇	—	4	4	no	—
332	C₂⁴×C₇	—	4	4	no	—
333	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
334	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
335	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
336	C₂⁴×C₇	C₂⁴	1	2	yes	—
337	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
338	C₂⁴×C₇	C₂⁴	1	2	yes	—
339	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
340	C₂⁴×C₇	C₂⁴	1	4	yes	—
341	C₂⁴×C₇	C₂⁴	1	4	yes	—
342	C₂⁴×C₇	C₂⁴	1	4	yes	—
343	C₇×#41	—	4	32	no	—
344	C₇×#41	—	4	16	no	—
345	C₂×C₇×Q₈	—	4	4	no	—
346	C₂×C₇×Q₈	—	4	4	no	—
347	C₂×C₇×Q₈	—	4	2	no	—
348	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
349	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
350	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
351	C₂×C₇×D₄	—	2	8	no	—
352	C₂×C₇×D₄	—	2	8	no	—
353	C₂×C₇×D₄	—	4	2	no	—
354	C₂×C₇×D₄	—	4	2	no	—
355	C₂×C₇×D₄	—	4	2	no	—
356	C₂×C₇×D₄	—	4	2	no	—
357	C₂×C₇×D₄	—	4	16	no	—
358	C₂×C₇×D₄	—	4	4	no	—
359	C₂×C₇×D₄	—	4	4	no	—
360	C₂×C₇×D₄	—	4	4	no	—
361	C₂×C₇×D₄	—	4	4	no	—
362	C₂×C₇×D₄	—	4	4	no	—
363	C₂×C₇×D₄	—	4	4	no	—
364	C₂×C₇×D₄	—	4	4	no	—
365	C₂×C₇×D₄	—	4	4	no	—
366	C₂×C₇×D₄	—	4	4	no	—
367	C₂×C₇×D₄	—	4	2	no	—
368	C₂×C₇×D₄	—	4	16	no	—
369	C₂×C₇×D₄	C₂⁴	1	8	yes	—
370	C₂×C₇×D₄	C₂⁴	1	8	yes	—
371	C₂×C₇×D₄	C₂⁴	1	8	yes	—
372	C₂×C₇×D₄	C₂⁴	1	8	yes	—
373	C₂×C₇×D₄	C₂⁴	1	8	yes	—
374	C₂×C₇×D₄	C₂⁴	1	8	yes	—
375	C₂×C₇×D₄	C₂⁴	1	8	yes	—
376	C₂×C₇×D₄	C₂⁴	1	8	yes	—
377	C₂×C₇×D₄	C₂⁴	1	8	yes	—
378	C₂×C₇×D₄	C₂⁴	1	4	yes	—
379	C₂×C₇×D₄	C₂⁴	1	4	yes	—
380	C₂×C₇×D₄	C₂⁴	1	8	yes	—
381	C₂×C₇×D₄	C₂⁴	1	4	yes	—
382	C₂×C₇×D₄	C₂⁴	1	8	yes	—
383	C₂×C₇×D₄	C₂⁴	1	4	yes	—
384	C₂×C₇×D₄	C₂⁴	1	4	yes	—
385	C₂²×C₄×C₇	—	2	8	no	—
386	C₂²×C₄×C₇	—	2	4	no	—
387	C₂²×C₄×C₇	—	4	2	no	—
388	C₂²×C₄×C₇	—	4	4	no	—
389	C₂²×C₄×C₇	—	4	2	no	—
390	C₂²×C₄×C₇	—	4	16	no	—
391	C₂²×C₄×C₇	—	4	4	no	—
392	C₂²×C₄×C₇	—	4	4	no	—
393	C₂²×C₄×C₇	—	4	4	no	—
394	C₂²×C₄×C₇	—	4	4	no	—
395	C₂²×C₄×C₇	—	4	2	no	—
396	C₂²×C₄×C₇	—	4	4	no	—
397	C₂²×C₄×C₇	—	4	4	no	—
398	C₂²×C₄×C₇	—	4	4	no	—
399	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
400	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
402	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
404	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
407	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
408	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
409	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
410	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
411	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
412	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
414	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
415	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
416	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
417	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
418	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
419	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
420	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
421	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
422	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
423	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
424	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
425	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
426	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
427	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
428	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
429	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
430	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
431	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
432	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
433	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
434	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
435	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
436	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
437	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
438	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
439	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
440	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
441	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
442	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
443	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
445	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
446	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
447	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
448	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
449	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
450	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
452	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
453	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
454	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
455	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
456	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
457	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
458	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
459	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
460	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
461	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
462	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
464	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
466	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
467	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
468	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
470	C₄²×C₇	C₂⁴	1	4	yes	—
471	C₄²×C₇	C₂⁴	1	8	yes	—
472	C₄²×C₇	C₂⁴	1	8	yes	—
473	C₄²×C₇	C₂⁴	1	8	yes	—
474	C₄²×C₇	C₂⁴	1	4	yes	—
475	C₄²×C₇	C₂⁴	1	8	yes	—
476	C₂²×#41	C₂²×C₇	1	2	yes	—
477	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
478	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
479	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
480	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic, complemented
481	#563	C₂²×C₇	1	16	yes	complemented
482	#562	C₂²×C₇	1	32	yes	complemented
483	#560	C₂²×C₇	1	16	yes	complemented
484	#559	C₂²×C₇	1	16	yes	complemented
485	#553	C₂²×C₇	1	32	yes	complemented
486	#552	C₂²×C₇	1	32	yes	complemented
487	#551	C₂²×C₇	1	32	yes	complemented
488	#551	C₂²×C₇	1	16	yes	complemented
489	#547	C₂²×C₇	1	32	yes	complemented
490	#546	C₂²×C₇	1	32	yes	complemented
491	#542	C₂²×C₇	1	32	yes	complemented
492	#540	C₂²×C₇	1	32	yes	complemented
493	#539	C₂²×C₇	1	32	yes	complemented
494	#538	C₂²×C₇	1	32	yes	complemented
495	#538	C₂²×C₇	1	32	yes	complemented
496	#535	C₂²×C₇	1	16	yes	complemented
497	#534	C₂²×C₇	1	16	yes	complemented
498	C₂×C₄⋊Q₈	C₂²×C₇	1	2	yes	complemented
499	C₂×#127	C₂²×C₇	1	1	yes	characteristic
500	C₂×#127	C₂²×C₇	1	1	yes	characteristic, complemented
501	C₂×#126	C₂²×C₇	1	2	yes	complemented
502	C₂×#126	C₂²×C₇	1	2	yes	complemented
503	C₂×#126	C₂²×C₇	1	2	yes	complemented
504	C₂×#126	C₂²×C₇	1	2	yes	complemented
505	C₂×#126	C₂²×C₇	1	2	yes	complemented
506	C₂×#126	C₂²×C₇	1	2	yes	complemented
507	C₂×#125	C₂²×C₇	1	2	yes	complemented
508	C₂×#125	C₂²×C₇	1	2	yes	complemented
509	C₂×#125	C₂²×C₇	1	2	yes	complemented
510	C₂×#124	C₂²×C₇	1	1	yes	characteristic
511	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
512	C₂×#124	C₂²×C₇	1	2	yes	complemented
513	C₂×#124	C₂²×C₇	1	2	yes	complemented
514	C₂×#124	C₂²×C₇	1	2	yes	complemented
515	C₂×#124	C₂²×C₇	1	2	yes	complemented
516	#525	C₂²×C₇	1	32	yes	complemented
517	C₂×#123	C₂²×C₇	1	2	yes	—
518	C₂×#123	C₂²×C₇	1	1	yes	characteristic
519	C₂×#123	C₂²×C₇	1	1	yes	characteristic
520	C₂×#123	C₂²×C₇	1	2	yes	—
521	C₂×#123	C₂²×C₇	1	1	yes	characteristic
522	C₂×#123	C₂²×C₇	1	2	yes	—
523	C₂×#123	C₂²×C₇	1	1	yes	characteristic
524	C₂×#123	C₂²×C₇	1	2	yes	complemented
525	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
526	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
527	C₂×#123	C₂²×C₇	1	2	yes	complemented
528	C₂×#123	C₂²×C₇	1	2	yes	complemented
529	C₂×#123	C₂²×C₇	1	2	yes	complemented
530	C₂×#123	C₂²×C₇	1	2	yes	complemented
531	C₂×#123	C₂²×C₇	1	2	yes	complemented
532	C₂×#123	C₂²×C₇	1	2	yes	complemented
533	C₂×#123	C₂²×C₇	1	2	yes	complemented
534	C₂×#123	C₂²×C₇	1	2	yes	complemented
535	C₂×#123	C₂²×C₇	1	16	yes	complemented
536	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
537	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
538	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
539	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
540	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
541	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
542	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
543	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
544	C₂×#121	C₂²×C₇	1	2	yes	—
545	C₂×#121	C₂²×C₇	1	2	yes	—
546	C₂×#121	C₂²×C₇	1	2	yes	—
547	C₂×#121	C₂²×C₇	1	2	yes	—
548	C₂×#121	C₂²×C₇	1	2	yes	complemented
549	C₂×#121	C₂²×C₇	1	2	yes	complemented
550	C₂×#121	C₂²×C₇	1	2	yes	complemented
551	C₂×#121	C₂²×C₇	1	2	yes	complemented
552	C₂×#121	C₂²×C₇	1	2	yes	complemented
553	C₂×#121	C₂²×C₇	1	2	yes	complemented
554	C₂×#121	C₂²×C₇	1	2	yes	complemented
555	C₂×#121	C₂²×C₇	1	2	yes	complemented
556	C₂×#120	C₂²×C₇	1	2	yes	—
557	C₂×#120	C₂²×C₇	1	1	yes	characteristic
558	C₂×#120	C₂²×C₇	1	1	yes	characteristic
559	C₂×#120	C₂²×C₇	1	2	yes	—
560	C₂×#120	C₂²×C₇	1	2	yes	complemented
561	C₂×#120	C₂²×C₇	1	2	yes	complemented
562	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
563	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
564	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
565	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
566	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
567	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
568	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
569	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
570	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
571	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
572	C₂×#117	C₂²×C₇	1	2	yes	complemented
573	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
574	C₂×#117	C₂²×C₇	1	2	yes	complemented
575	C₂×#117	C₂²×C₇	1	2	yes	complemented
576	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
577	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
578	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
579	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic
580	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
581	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
582	C₂³×C₇	—	2	4	no	—
583	C₂³×C₇	—	2	4	no	—
584	C₂³×C₇	—	2	8	no	—
585	C₂³×C₇	—	2	2	no	—
586	C₂³×C₇	—	2	2	no	—
587	C₂³×C₇	—	2	4	no	—
588	C₂³×C₇	—	2	2	no	—
589	C₂³×C₇	—	2	2	no	—
590	C₂³×C₇	—	2	4	no	—
591	C₂³×C₇	—	2	4	no	—
592	C₂³×C₇	—	2	4	no	—
593	C₂³×C₇	—	2	4	no	—
594	C₂³×C₇	—	2	4	no	—
595	C₂³×C₇	—	2	4	no	—
596	C₂³×C₇	—	2	4	no	—
597	C₂³×C₇	—	2	4	no	—
598	C₂³×C₇	—	2	8	no	—
599	C₂³×C₇	—	4	8	no	—
600	C₂³×C₇	—	4	4	no	—
601	C₂³×C₇	—	4	8	no	—
602	C₂³×C₇	—	4	8	no	—
603	C₂³×C₇	—	4	16	no	—
604	C₂³×C₇	—	8	8	no	—
605	C₂³×C₇	—	8	8	no	—
606	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
607	C₂³×C₇	C₂⁵	1	2	yes	—
608	C₂³×C₇	C₂⁵	1	2	yes	—
609	C₂³×C₇	C₂⁵	1	2	yes	—
610	C₂³×C₇	C₂⁵	1	4	yes	—
611	C₂³×C₇	C₂⁵	1	2	yes	—
612	C₂³×C₇	C₂⁵	1	4	yes	—
613	C₂³×C₇	C₂⁵	1	2	yes	—
614	C₂³×C₇	C₂⁵	1	1	yes	characteristic
615	C₇×Q₈	—	4	8	no	—
616	C₇×Q₈	—	4	8	no	—
617	C₇×Q₈	—	4	4	no	—
618	C₇×D₄	—	2	16	no	—
619	C₇×D₄	—	2	16	no	—
620	C₇×D₄	—	4	4	no	—
621	C₇×D₄	—	4	4	no	—
622	C₇×D₄	—	4	4	no	—
623	C₇×D₄	—	4	4	no	—
624	C₇×D₄	—	4	8	no	—
625	C₇×D₄	—	4	8	no	—
626	C₇×D₄	—	4	8	no	—
627	C₇×D₄	—	4	8	no	—
628	C₇×D₄	—	4	8	no	—
629	C₇×D₄	—	4	8	no	—
630	C₇×D₄	—	4	8	no	—
631	C₇×D₄	—	4	8	no	—
632	C₇×D₄	—	4	8	no	—
633	C₇×D₄	—	4	4	no	—
634	C₂×C₄×C₇	—	2	4	no	—
635	C₂×C₄×C₇	—	2	2	no	—
636	C₂×C₄×C₇	—	2	4	no	—
637	C₂×C₄×C₇	—	2	16	no	—
638	C₂×C₄×C₇	—	2	2	no	—
639	C₂×C₄×C₇	—	2	8	no	—
640	C₂×C₄×C₇	—	2	4	no	—
641	C₂×C₄×C₇	—	2	4	no	—
642	C₂×C₄×C₇	—	2	4	no	—
643	C₂×C₄×C₇	—	2	4	no	—
644	C₂×C₄×C₇	—	2	4	no	—
645	C₂×C₄×C₇	—	2	4	no	—
646	C₂×C₄×C₇	—	2	4	no	—
647	C₂×C₄×C₇	—	2	4	no	—
648	C₂×C₄×C₇	—	4	4	no	—
649	C₂×C₄×C₇	—	4	8	no	—
650	C₂×C₄×C₇	—	4	4	no	—
651	C₂×C₄×C₇	—	4	8	no	—
652	C₂×C₄×C₇	—	4	8	no	—
653	C₂×C₄×C₇	—	4	8	no	—
654	C₂×C₄×C₇	—	4	8	no	—
655	C₂×C₄×C₇	—	4	4	no	—
656	C₂×C₄×C₇	—	4	8	no	—
657	C₂×C₄×C₇	—	4	8	no	—
658	C₂×C₄×C₇	—	4	8	no	—
659	C₂×C₄×C₇	C₂⁵	1	4	yes	—
660	C₂×C₄×C₇	C₂⁵	1	4	yes	—
661	C₂×C₄×C₇	C₂⁵	1	4	yes	—
662	C₂×C₄×C₇	C₂⁵	1	4	yes	—
663	C₂×C₄×C₇	C₂⁵	1	2	yes	—
664	C₂×C₄×C₇	C₂⁵	1	4	yes	—
665	C₂×C₄×C₇	C₂⁵	1	4	yes	—
666	C₂×C₄×C₇	C₂⁵	1	4	yes	—
667	C₂×C₄×C₇	C₂⁵	1	4	yes	—
668	C₂×C₄×C₇	C₂⁵	1	4	yes	—
669	C₂×C₄×C₇	C₂⁵	1	4	yes	—
670	C₂×C₄×C₇	C₂⁵	1	2	yes	—
671	C₂⁵	C₂³×C₇	1	1	yes	characteristic
672	C₂⁵	C₂³×C₇	1	1	yes	characteristic
673	C₂⁵	C₂³×C₇	1	1	yes	characteristic
674	C₂×#41	—	4	8	no	—
675	C₂×#41	—	4	4	no	—
676	C₂×#41	C₂³×C₇	1	16	yes	—
677	C₂×#41	C₂³×C₇	1	8	yes	complemented
678	C₂²×Q₈	C₂³×C₇	1	2	yes	—
679	C₂²×Q₈	C₂³×C₇	1	2	yes	—
680	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
681	C₂²×D₄	—	4	4	no	—
682	C₂²×D₄	—	4	4	no	—
683	C₂²×D₄	C₂³×C₇	1	2	yes	—
684	C₂²×D₄	C₂³×C₇	1	2	yes	—
685	C₂²×D₄	C₂³×C₇	1	2	yes	—
686	C₂²×D₄	C₂³×C₇	1	2	yes	—
687	C₂²×D₄	C₂³×C₇	1	2	yes	—
688	C₂²×D₄	C₂³×C₇	1	2	yes	—
689	C₂²×D₄	C₂³×C₇	1	2	yes	—
690	C₂²×D₄	C₂³×C₇	1	2	yes	—
691	C₂²×D₄	C₂³×C₇	1	2	yes	—
692	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
693	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
694	C₂²×D₄	C₂³×C₇	1	2	yes	—
695	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
696	C₂²×D₄	C₂³×C₇	1	2	yes	—
697	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
698	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
699	C₂²×D₄	C₂³×C₇	1	8	yes	—
700	C₂²×D₄	C₂³×C₇	1	8	yes	—
701	C₂³×C₄	—	4	4	no	—
702	C₂³×C₄	C₂³×C₇	1	2	yes	—
703	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
704	C₂³×C₄	C₂³×C₇	1	2	yes	—
705	C₂³×C₄	C₂³×C₇	1	2	yes	—
706	C₂³×C₄	C₂³×C₇	1	2	yes	—
707	C₂³×C₄	C₂³×C₇	1	2	yes	—
708	C₂³×C₄	C₂³×C₇	1	2	yes	—
709	C₂³×C₄	C₂³×C₇	1	2	yes	—
710	C₂³×C₄	C₂³×C₇	1	2	yes	—
711	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
712	C₂³×C₄	C₂³×C₇	1	2	yes	—
713	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
714	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
715	C₂³×C₄	C₂³×C₇	1	8	yes	complemented
716	C₄⋊Q₈	C₂³×C₇	1	16	yes	complemented
717	#127	C₂³×C₇	1	8	yes	—
718	#127	C₂³×C₇	1	8	yes	complemented
719	#126	C₂³×C₇	1	16	yes	complemented
720	#126	C₂³×C₇	1	16	yes	complemented
721	#126	C₂³×C₇	1	16	yes	complemented
722	#126	C₂³×C₇	1	16	yes	complemented
723	#126	C₂³×C₇	1	16	yes	complemented
724	#126	C₂³×C₇	1	16	yes	complemented
725	#125	C₂³×C₇	1	16	yes	complemented
726	#125	C₂³×C₇	1	16	yes	complemented
727	#125	C₂³×C₇	1	16	yes	complemented
728	#124	C₂³×C₇	1	8	yes	—
729	#124	C₂³×C₇	1	8	yes	complemented
730	#124	C₂³×C₇	1	16	yes	complemented
731	#124	C₂³×C₇	1	16	yes	complemented
732	#124	C₂³×C₇	1	16	yes	complemented
733	#124	C₂³×C₇	1	16	yes	complemented
734	#123	C₂³×C₇	1	16	yes	—
735	#123	C₂³×C₇	1	8	yes	—
736	#123	C₂³×C₇	1	8	yes	—
737	#123	C₂³×C₇	1	16	yes	—
738	#123	C₂³×C₇	1	8	yes	—
739	#123	C₂³×C₇	1	16	yes	—
740	#123	C₂³×C₇	1	8	yes	—
741	#123	C₂³×C₇	1	16	yes	complemented
742	#123	C₂³×C₇	1	8	yes	complemented
743	#123	C₂³×C₇	1	8	yes	complemented
744	#123	C₂³×C₇	1	16	yes	complemented
745	#123	C₂³×C₇	1	16	yes	complemented
746	#123	C₂³×C₇	1	16	yes	complemented
747	#123	C₂³×C₇	1	16	yes	complemented
748	#123	C₂³×C₇	1	16	yes	complemented
749	#123	C₂³×C₇	1	16	yes	complemented
750	#123	C₂³×C₇	1	16	yes	complemented
751	#123	C₂³×C₇	1	16	yes	complemented
752	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
753	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
754	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
755	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
756	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
757	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
758	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
759	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
760	#121	C₂³×C₇	1	16	yes	—
761	#121	C₂³×C₇	1	16	yes	—
762	#121	C₂³×C₇	1	16	yes	—
763	#121	C₂³×C₇	1	16	yes	—
764	#121	C₂³×C₇	1	16	yes	complemented
765	#121	C₂³×C₇	1	16	yes	complemented
766	#121	C₂³×C₇	1	16	yes	complemented
767	#121	C₂³×C₇	1	16	yes	complemented
768	#121	C₂³×C₇	1	16	yes	complemented
769	#121	C₂³×C₇	1	16	yes	complemented
770	#121	C₂³×C₇	1	16	yes	complemented
771	#121	C₂³×C₇	1	16	yes	complemented
772	#120	C₂³×C₇	1	16	yes	—
773	#120	C₂³×C₇	1	8	yes	—
774	#120	C₂³×C₇	1	8	yes	—
775	#120	C₂³×C₇	1	16	yes	—
776	#120	C₂³×C₇	1	16	yes	complemented
777	#120	C₂³×C₇	1	16	yes	complemented
778	C₄×Q₈	C₂³×C₇	1	16	yes	complemented
779	C₄×D₄	C₂³×C₇	1	16	yes	—
780	C₄×D₄	C₂³×C₇	1	16	yes	complemented
781	C₄×D₄	C₂³×C₇	1	16	yes	complemented
782	C₄×D₄	C₂³×C₇	1	16	yes	complemented
783	C₄×D₄	C₂³×C₇	1	16	yes	complemented
784	C₄×D₄	C₂³×C₇	1	16	yes	complemented
785	C₄×D₄	C₂³×C₇	1	16	yes	complemented
786	C₄×D₄	C₂³×C₇	1	16	yes	complemented
787	C₄×D₄	C₂³×C₇	1	16	yes	complemented
788	#117	C₂³×C₇	1	16	yes	complemented
789	#117	C₂³×C₇	1	8	yes	complemented
790	#117	C₂³×C₇	1	16	yes	complemented
791	#117	C₂³×C₇	1	16	yes	complemented
792	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
793	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
794	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
795	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
796	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
797	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
798	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
799	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
800	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
801	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
802	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
803	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
804	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
805	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
806	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
807	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
808	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
809	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
810	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
811	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
812	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
813	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
821	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
822	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
843	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
844	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
845	C₂×C₄²	C₂³×C₇	1	2	yes	—
846	C₂×C₄²	C₂³×C₇	1	2	yes	—
847	C₂×C₄²	C₂³×C₇	1	2	yes	—
848	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
849	C₂×C₄²	C₂³×C₇	1	2	yes	—
850	C₂²×C₇	—	2	4	no	—
851	C₂²×C₇	—	2	8	no	—
852	C₂²×C₇	—	2	4	no	—
853	C₂²×C₇	—	2	2	no	—
854	C₂²×C₇	—	2	2	no	—
855	C₂²×C₇	—	2	4	no	—
856	C₂²×C₇	—	2	2	no	—
857	C₂²×C₇	—	2	2	no	—
858	C₂²×C₇	—	2	4	no	—
859	C₂²×C₇	—	2	4	no	—
860	C₂²×C₇	—	2	4	no	—
861	C₂²×C₇	—	2	4	no	—
862	C₂²×C₇	—	2	4	no	—
863	C₂²×C₇	—	2	4	no	—
864	C₂²×C₇	—	2	4	no	—
865	C₂²×C₇	—	2	4	no	—
866	C₂²×C₇	—	4	16	no	—
867	C₂²×C₇	—	4	8	no	—
868	C₂²×C₇	—	4	4	no	—
869	C₂²×C₇	—	4	4	no	—
870	C₂²×C₇	—	4	8	no	—
871	C₂²×C₇	—	4	4	no	—
872	C₂²×C₇	—	4	4	no	—
873	C₂²×C₇	—	8	8	no	—
874	C₂²×C₇	—	8	8	no	—
875	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
876	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
877	C₂²×C₇	#585	1	4	yes	—
878	C₂²×C₇	C₂⁶	1	1	yes	characteristic
879	C₄×C₇	—	2	4	no	—
880	C₄×C₇	—	2	2	no	—
881	C₄×C₇	—	2	4	no	—
882	C₄×C₇	—	2	2	no	—
883	C₄×C₇	—	2	4	no	—
884	C₄×C₇	—	2	4	no	—
885	C₄×C₇	—	2	4	no	—
886	C₄×C₇	—	2	4	no	—
887	C₄×C₇	—	2	4	no	—
888	C₄×C₇	—	2	4	no	—
889	C₄×C₇	—	2	4	no	—
890	C₄×C₇	—	2	4	no	—
891	C₂⁴	—	2	4	no	—
892	C₂⁴	—	2	4	no	—
893	C₂⁴	—	4	4	no	—
894	C₂⁴	—	4	2	no	—
895	C₂⁴	—	4	4	no	—
896	C₂⁴	—	4	4	no	—
897	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
898	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
899	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
900	C₂⁴	C₂⁴×C₇	1	2	yes	—
901	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
902	C₂⁴	C₂⁴×C₇	1	2	yes	—
903	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
904	C₂⁴	C₂⁴×C₇	1	4	yes	—
905	C₂⁴	C₂⁴×C₇	1	4	yes	—
906	C₂⁴	C₂⁴×C₇	1	4	yes	—
907	#41	—	4	32	no	—
908	#41	—	4	16	no	—
909	C₂×Q₈	—	4	4	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	—	4	4	no	—
912	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
913	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
914	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
915	C₂×D₄	—	2	8	no	—
916	C₂×D₄	—	2	8	no	—
917	C₂×D₄	—	4	2	no	—
918	C₂×D₄	—	4	2	no	—
919	C₂×D₄	—	4	2	no	—
920	C₂×D₄	—	4	2	no	—
921	C₂×D₄	—	4	16	no	—
922	C₂×D₄	—	4	4	no	—
923	C₂×D₄	—	4	4	no	—
924	C₂×D₄	—	4	2	no	—
925	C₂×D₄	—	4	4	no	—
926	C₂×D₄	—	4	4	no	—
927	C₂×D₄	—	4	4	no	—
928	C₂×D₄	—	4	4	no	—
929	C₂×D₄	—	4	4	no	—
930	C₂×D₄	—	4	4	no	—
931	C₂×D₄	—	4	4	no	—
932	C₂×D₄	—	4	16	no	—
933	C₂×D₄	C₂⁴×C₇	1	8	yes	—
934	C₂×D₄	C₂⁴×C₇	1	8	yes	—
935	C₂×D₄	C₂⁴×C₇	1	8	yes	—
936	C₂×D₄	C₂⁴×C₇	1	8	yes	—
937	C₂×D₄	C₂⁴×C₇	1	8	yes	—
938	C₂×D₄	C₂⁴×C₇	1	8	yes	—
939	C₂×D₄	C₂⁴×C₇	1	8	yes	—
940	C₂×D₄	C₂⁴×C₇	1	8	yes	—
941	C₂×D₄	C₂⁴×C₇	1	8	yes	—
942	C₂×D₄	C₂⁴×C₇	1	4	yes	—
943	C₂×D₄	C₂⁴×C₇	1	4	yes	—
944	C₂×D₄	C₂⁴×C₇	1	8	yes	—
945	C₂×D₄	C₂⁴×C₇	1	4	yes	—
946	C₂×D₄	C₂⁴×C₇	1	8	yes	—
947	C₂×D₄	C₂⁴×C₇	1	4	yes	—
948	C₂×D₄	C₂⁴×C₇	1	4	yes	—
949	C₂²×C₄	—	2	8	no	—
950	C₂²×C₄	—	2	4	no	—
951	C₂²×C₄	—	4	2	no	—
952	C₂²×C₄	—	4	4	no	—
953	C₂²×C₄	—	4	2	no	—
954	C₂²×C₄	—	4	16	no	—
955	C₂²×C₄	—	4	2	no	—
956	C₂²×C₄	—	4	4	no	—
957	C₂²×C₄	—	4	4	no	—
958	C₂²×C₄	—	4	4	no	—
959	C₂²×C₄	—	4	4	no	—
960	C₂²×C₄	—	4	4	no	—
961	C₂²×C₄	—	4	4	no	—
962	C₂²×C₄	—	4	4	no	—
963	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
964	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
965	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
966	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
967	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
968	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
969	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
970	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
971	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
972	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
973	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
974	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
975	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
976	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
977	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
978	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
979	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
980	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
981	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
982	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
983	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
984	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
985	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
986	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
987	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
988	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
989	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
990	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
991	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
992	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
993	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
994	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
995	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
996	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
997	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
998	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
999	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1000	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1001	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1002	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1003	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1004	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1005	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1006	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1007	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1008	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1009	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1010	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1011	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1012	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1013	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1014	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1015	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1016	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1017	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1018	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1019	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1020	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1021	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1022	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1023	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1024	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1025	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1026	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1027	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1028	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1029	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1030	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1031	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1032	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1033	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1034	C₄²	C₂⁴×C₇	1	4	yes	—
1035	C₄²	C₂⁴×C₇	1	8	yes	—
1036	C₄²	C₂⁴×C₇	1	8	yes	—
1037	C₄²	C₂⁴×C₇	1	8	yes	—
1038	C₄²	C₂⁴×C₇	1	4	yes	—
1039	C₄²	C₂⁴×C₇	1	8	yes	—
1040	C₂×C₇	—	2	4	no	—
1041	C₂×C₇	—	4	4	no	—
1042	C₂×C₇	—	4	2	no	—
1043	C₂×C₇	—	4	2	no	—
1044	C₂×C₇	—	4	4	no	—
1045	C₂×C₇	—	4	2	no	—
1046	C₂×C₇	—	4	2	no	—
1047	C₂×C₇	#3533	1	4	yes	direct product factor
1048	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1049	C₂×C₇	C₂×#585	1	2	yes	—
1050	C₂³	—	2	4	no	—
1051	C₂³	—	2	4	no	—
1052	C₂³	—	2	8	no	—
1053	C₂³	—	2	2	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	4	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	4	no	—
1059	C₂³	—	2	4	no	—
1060	C₂³	—	2	4	no	—
1061	C₂³	—	2	4	no	—
1062	C₂³	—	2	4	no	—
1063	C₂³	—	2	4	no	—
1064	C₂³	—	2	4	no	—
1065	C₂³	—	2	4	no	—
1066	C₂³	—	2	8	no	—
1067	C₂³	—	4	8	no	—
1068	C₂³	—	4	4	no	—
1069	C₂³	—	4	8	no	—
1070	C₂³	—	4	8	no	—
1071	C₂³	—	4	16	no	—
1072	C₂³	—	8	8	no	—
1073	C₂³	—	8	8	no	—
1074	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
1075	C₂³	C₂⁵×C₇	1	2	yes	—
1076	C₂³	C₂⁵×C₇	1	2	yes	—
1077	C₂³	C₂⁵×C₇	1	2	yes	—
1078	C₂³	C₂⁵×C₇	1	4	yes	—
1079	C₂³	C₂⁵×C₇	1	2	yes	—
1080	C₂³	C₂⁵×C₇	1	4	yes	—
1081	C₂³	C₂⁵×C₇	1	2	yes	—
1082	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1083	Q₈	—	4	8	no	—
1084	Q₈	—	4	8	no	—
1085	Q₈	—	4	4	no	—
1086	D₄	—	2	16	no	—
1087	D₄	—	2	16	no	—
1088	D₄	—	4	4	no	—
1089	D₄	—	4	4	no	—
1090	D₄	—	4	4	no	—
1091	D₄	—	4	4	no	—
1092	D₄	—	4	8	no	—
1093	D₄	—	4	8	no	—
1094	D₄	—	4	8	no	—
1095	D₄	—	4	8	no	—
1096	D₄	—	4	8	no	—
1097	D₄	—	4	8	no	—
1098	D₄	—	4	8	no	—
1099	D₄	—	4	8	no	—
1100	D₄	—	4	8	no	—
1101	D₄	—	4	4	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	2	16	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	8	no	—
1108	C₂×C₄	—	2	4	no	—
1109	C₂×C₄	—	2	4	no	—
1110	C₂×C₄	—	2	4	no	—
1111	C₂×C₄	—	2	4	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	4	no	—
1114	C₂×C₄	—	2	4	no	—
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	4	4	no	—
1117	C₂×C₄	—	4	8	no	—
1118	C₂×C₄	—	4	4	no	—
1119	C₂×C₄	—	4	8	no	—
1120	C₂×C₄	—	4	8	no	—
1121	C₂×C₄	—	4	8	no	—
1122	C₂×C₄	—	4	8	no	—
1123	C₂×C₄	—	4	4	no	—
1124	C₂×C₄	—	4	8	no	—
1125	C₂×C₄	—	4	8	no	—
1126	C₂×C₄	—	4	8	no	—
1127	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1128	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1129	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1130	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1131	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1132	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1133	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1134	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1135	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1136	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1137	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1138	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1139	C₇	C₂×#3533	1	1	yes	characteristic, direct product factor, Sylow
1140	C₂²	—	2	4	no	—
1141	C₂²	—	2	8	no	—
1142	C₂²	—	2	4	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	2	no	—
1145	C₂²	—	2	4	no	—
1146	C₂²	—	2	2	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	4	no	—
1149	C₂²	—	2	4	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	4	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	2	4	no	—
1155	C₂²	—	2	4	no	—
1156	C₂²	—	4	16	no	—
1157	C₂²	—	4	4	no	—
1158	C₂²	—	4	4	no	—
1159	C₂²	—	4	4	no	—
1160	C₂²	—	4	8	no	—
1161	C₂²	—	4	4	no	—
1162	C₂²	—	4	8	no	—
1163	C₂²	—	8	8	no	—
1164	C₂²	—	8	8	no	—
1165	C₂²	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1166	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1167	C₂²	C₇×#585	1	4	yes	—
1168	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1169	C₄	—	2	4	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	2	4	no	—
1172	C₄	—	2	2	no	—
1173	C₄	—	2	4	no	—
1174	C₄	—	2	4	no	—
1175	C₄	—	2	4	no	—
1176	C₄	—	2	4	no	—
1177	C₄	—	2	4	no	—
1178	C₄	—	2	4	no	—
1179	C₄	—	2	4	no	—
1180	C₄	—	2	4	no	—
1181	C₂	—	2	4	no	—
1182	C₂	—	4	2	no	—
1183	C₂	—	4	2	no	—
1184	C₂	—	4	2	no	—
1185	C₂	—	4	4	no	—
1186	C₂	—	4	2	no	—
1187	C₂	—	4	4	no	—
1188	C₂	C₇×#3533	1	4	yes	direct product factor
1189	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1190	C₂	C₂×C₇×#585	1	2	yes	—

	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×#3533	C₂	direct (N × H)
2. C₂×C₇×#563	C₂	semidirect
3. C₂×C₇×#562	C₂	semidirect
4. C₂×C₇×#560	C₂	semidirect
5. C₂×C₇×#559	C₂	semidirect
6. C₂×C₇×#553	C₂	semidirect
7. C₂×C₇×#552	C₂	semidirect
8. C₂×C₇×#551	C₂	semidirect
9. C₂×C₇×#551	C₂	semidirect
10. C₂×C₇×#547	C₂	semidirect
11. C₂×C₇×#546	C₂	semidirect
12. C₂×C₇×#542	C₂	semidirect
13. C₂×C₇×#540	C₂	semidirect
14. C₂×C₇×#539	C₂	semidirect
15. C₂×C₇×#538	C₂	semidirect
16. C₂×C₇×#538	C₂	semidirect
17. C₂×C₇×#535	C₂	semidirect
18. C₂×C₇×#534	C₂	semidirect
19. C₂×C₇×#525	C₂	semidirect
20. C₂²×C₇×#123	C₂	semidirect
22. C₂²×C₇×#41	C₂²	semidirect
25. C₂⁴×C₄×C₇	C₂²	semidirect
26. C₇×#563	C₂²	semidirect
27. C₇×#562	C₂²	semidirect
28. C₇×#560	C₂²	semidirect
29. C₇×#559	C₂²	semidirect
30. C₇×#553	C₂²	semidirect
31. C₇×#552	C₂²	semidirect
32. C₇×#551	C₂²	semidirect
33. C₇×#551	C₂²	semidirect
34. C₇×#547	C₂²	semidirect
35. C₇×#546	C₂²	semidirect
36. C₇×#542	C₂²	semidirect
37. C₇×#540	C₂²	semidirect
38. C₇×#539	C₂²	semidirect
39. C₇×#538	C₂²	semidirect
40. C₇×#538	C₂²	semidirect
41. C₇×#535	C₂²	semidirect
42. C₇×#534	C₂²	semidirect
43. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
45. C₂×C₇×#127	C₂²	semidirect
46. C₂×C₇×#126	C₂²	semidirect
47. C₂×C₇×#126	C₂²	semidirect
48. C₂×C₇×#126	C₂²	semidirect
49. C₂×C₇×#126	C₂²	semidirect
50. C₂×C₇×#126	C₂²	semidirect
51. C₂×C₇×#126	C₂²	semidirect
52. C₂×C₇×#125	C₂²	semidirect
53. C₂×C₇×#125	C₂²	semidirect
54. C₂×C₇×#125	C₂²	semidirect
56. C₂×C₇×#124	C₂²	semidirect
57. C₂×C₇×#124	C₂²	semidirect
58. C₂×C₇×#124	C₂²	semidirect
59. C₂×C₇×#124	C₂²	semidirect
60. C₂×C₇×#124	C₂²	semidirect
61. 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×C₂²⋊Q₈	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
93. C₂×C₇×#121	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
105. C₂×C₇×#120	C₂²	semidirect
106. C₂×C₇×#120	C₂²	semidirect
107. C₂×C₄×C₇×Q₈	C₂²	semidirect
109. C₂×C₄×C₇×D₄	C₂²	semidirect
110. C₂×C₄×C₇×D₄	C₂²	semidirect
111. C₂×C₄×C₇×D₄	C₂²	semidirect
112. C₂×C₄×C₇×D₄	C₂²	semidirect
113. C₂×C₄×C₇×D₄	C₂²	semidirect
114. C₂×C₄×C₇×D₄	C₂²	semidirect
115. C₂×C₄×C₇×D₄	C₂²	semidirect
116. C₂×C₄×C₇×D₄	C₂²	semidirect
117. C₂×C₇×#117	C₂²	semidirect
118. C₂×C₇×#117	C₂²	semidirect
119. C₂×C₇×#117	C₂²	semidirect
120. C₂×C₇×#117	C₂²	semidirect
121. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
122. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
125. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
126. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
127. C₂×#3533	C₇	direct (N × H)
134. C₂×C₇×#41	C₂³	semidirect
172. C₂³×C₄×C₇	C₂³	semidirect
173. C₇×C₄⋊Q₈	C₂³	semidirect
175. C₇×#127	C₂³	semidirect
176. C₇×#126	C₂³	semidirect
177. C₇×#126	C₂³	semidirect
178. C₇×#126	C₂³	semidirect
179. C₇×#126	C₂³	semidirect
180. C₇×#126	C₂³	semidirect
181. C₇×#126	C₂³	semidirect
182. C₇×#125	C₂³	semidirect
183. C₇×#125	C₂³	semidirect
184. C₇×#125	C₂³	semidirect
186. C₇×#124	C₂³	semidirect
187. C₇×#124	C₂³	semidirect
188. C₇×#124	C₂³	semidirect
189. C₇×#124	C₂³	semidirect
190. C₇×#124	C₂³	semidirect
198. C₇×#123	C₂³	semidirect
199. C₇×#123	C₂³	semidirect
200. C₇×#123	C₂³	semidirect
201. C₇×#123	C₂³	semidirect
202. C₇×#123	C₂³	semidirect
203. C₇×#123	C₂³	semidirect
204. C₇×#123	C₂³	semidirect
205. C₇×#123	C₂³	semidirect
206. C₇×#123	C₂³	semidirect
207. C₇×#123	C₂³	semidirect
208. C₇×#123	C₂³	semidirect
209. C₇×C₂²⋊Q₈	C₂³	semidirect
210. C₇×C₂²⋊Q₈	C₂³	semidirect
211. C₇×C₂²⋊Q₈	C₂³	semidirect
212. C₇×C₂²⋊Q₈	C₂³	semidirect
213. C₇×C₂²⋊Q₈	C₂³	semidirect
214. C₇×C₂²⋊Q₈	C₂³	semidirect
215. C₇×C₂²⋊Q₈	C₂³	semidirect
216. C₇×C₂²⋊Q₈	C₂³	semidirect
221. C₇×#121	C₂³	semidirect
222. C₇×#121	C₂³	semidirect
223. C₇×#121	C₂³	semidirect
224. C₇×#121	C₂³	semidirect
225. C₇×#121	C₂³	semidirect
226. C₇×#121	C₂³	semidirect
227. C₇×#121	C₂³	semidirect
228. C₇×#121	C₂³	semidirect
233. C₇×#120	C₂³	semidirect
234. C₇×#120	C₂³	semidirect
235. C₄×C₇×Q₈	C₂³	semidirect
237. C₄×C₇×D₄	C₂³	semidirect
238. C₄×C₇×D₄	C₂³	semidirect
239. C₄×C₇×D₄	C₂³	semidirect
240. C₄×C₇×D₄	C₂³	semidirect
241. C₄×C₇×D₄	C₂³	semidirect
242. C₄×C₇×D₄	C₂³	semidirect
243. C₄×C₇×D₄	C₂³	semidirect
244. C₄×C₇×D₄	C₂³	semidirect
245. C₇×#117	C₂³	semidirect
246. C₇×#117	C₂³	semidirect
247. C₇×#117	C₂³	semidirect
248. C₇×#117	C₂³	semidirect
268. C₂×C₇×C₄⋊C₄	C₂³	semidirect
269. C₂×C₇×C₄⋊C₄	C₂³	semidirect
299. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
300. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
307. #3533	C₂×C₇	direct (N × H)
308. C₂×#563	C₂×C₇	semidirect
309. C₂×#562	C₂×C₇	semidirect
310. C₂×#560	C₂×C₇	semidirect
311. C₂×#559	C₂×C₇	semidirect
312. C₂×#553	C₂×C₇	semidirect
313. C₂×#552	C₂×C₇	semidirect
314. C₂×#551	C₂×C₇	semidirect
315. C₂×#551	C₂×C₇	semidirect
316. C₂×#547	C₂×C₇	semidirect
317. C₂×#546	C₂×C₇	semidirect
318. C₂×#542	C₂×C₇	semidirect
319. C₂×#540	C₂×C₇	semidirect
320. C₂×#539	C₂×C₇	semidirect
321. C₂×#538	C₂×C₇	semidirect
322. C₂×#538	C₂×C₇	semidirect
323. C₂×#535	C₂×C₇	semidirect
324. C₂×#534	C₂×C₇	semidirect
325. C₂×#525	C₂×C₇	semidirect
326. C₂²×#123	C₂×C₇	semidirect
477. C₂²×#41	C₂²×C₇	semidirect
480. C₂⁴×C₄	C₂²×C₇	semidirect
481. #563	C₂²×C₇	semidirect
482. #562	C₂²×C₇	semidirect
483. #560	C₂²×C₇	semidirect
484. #559	C₂²×C₇	semidirect
485. #553	C₂²×C₇	semidirect
486. #552	C₂²×C₇	semidirect
487. #551	C₂²×C₇	semidirect
488. #551	C₂²×C₇	semidirect
489. #547	C₂²×C₇	semidirect
490. #546	C₂²×C₇	semidirect
491. #542	C₂²×C₇	semidirect
492. #540	C₂²×C₇	semidirect
493. #539	C₂²×C₇	semidirect
494. #538	C₂²×C₇	semidirect
495. #538	C₂²×C₇	semidirect
496. #535	C₂²×C₇	semidirect
497. #534	C₂²×C₇	semidirect
498. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
500. C₂×#127	C₂²×C₇	semidirect
501. C₂×#126	C₂²×C₇	semidirect
502. C₂×#126	C₂²×C₇	semidirect
503. C₂×#126	C₂²×C₇	semidirect
504. C₂×#126	C₂²×C₇	semidirect
505. C₂×#126	C₂²×C₇	semidirect
506. C₂×#126	C₂²×C₇	semidirect
507. C₂×#125	C₂²×C₇	semidirect
508. C₂×#125	C₂²×C₇	semidirect
509. C₂×#125	C₂²×C₇	semidirect
511. C₂×#124	C₂²×C₇	semidirect
512. C₂×#124	C₂²×C₇	semidirect
513. C₂×#124	C₂²×C₇	semidirect
514. C₂×#124	C₂²×C₇	semidirect
515. C₂×#124	C₂²×C₇	semidirect
516. #525	C₂²×C₇	semidirect
524. C₂×#123	C₂²×C₇	semidirect
525. C₂×#123	C₂²×C₇	semidirect
526. C₂×#123	C₂²×C₇	semidirect
527. C₂×#123	C₂²×C₇	semidirect
528. C₂×#123	C₂²×C₇	semidirect
529. C₂×#123	C₂²×C₇	semidirect
530. C₂×#123	C₂²×C₇	semidirect
531. C₂×#123	C₂²×C₇	semidirect
532. C₂×#123	C₂²×C₇	semidirect
533. C₂×#123	C₂²×C₇	semidirect
534. C₂×#123	C₂²×C₇	semidirect
535. C₂×#123	C₂²×C₇	semidirect
536. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
537. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
538. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
539. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
540. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
541. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
542. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
543. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
548. C₂×#121	C₂²×C₇	semidirect
549. C₂×#121	C₂²×C₇	semidirect
550. C₂×#121	C₂²×C₇	semidirect
551. C₂×#121	C₂²×C₇	semidirect
552. C₂×#121	C₂²×C₇	semidirect
553. C₂×#121	C₂²×C₇	semidirect
554. C₂×#121	C₂²×C₇	semidirect
555. C₂×#121	C₂²×C₇	semidirect
560. C₂×#120	C₂²×C₇	semidirect
561. C₂×#120	C₂²×C₇	semidirect
562. C₂×C₄×Q₈	C₂²×C₇	semidirect
564. C₂×C₄×D₄	C₂²×C₇	semidirect
565. C₂×C₄×D₄	C₂²×C₇	semidirect
566. C₂×C₄×D₄	C₂²×C₇	semidirect
567. C₂×C₄×D₄	C₂²×C₇	semidirect
568. C₂×C₄×D₄	C₂²×C₇	semidirect
569. C₂×C₄×D₄	C₂²×C₇	semidirect
570. C₂×C₄×D₄	C₂²×C₇	semidirect
571. C₂×C₄×D₄	C₂²×C₇	semidirect
572. C₂×#117	C₂²×C₇	semidirect
573. C₂×#117	C₂²×C₇	semidirect
574. C₂×#117	C₂²×C₇	semidirect
575. C₂×#117	C₂²×C₇	semidirect
576. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
577. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
580. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
581. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
677. C₂×#41	C₂³×C₇	semidirect
715. C₂³×C₄	C₂³×C₇	semidirect
716. C₄⋊Q₈	C₂³×C₇	semidirect
718. #127	C₂³×C₇	semidirect
719. #126	C₂³×C₇	semidirect
720. #126	C₂³×C₇	semidirect
721. #126	C₂³×C₇	semidirect
722. #126	C₂³×C₇	semidirect
723. #126	C₂³×C₇	semidirect
724. #126	C₂³×C₇	semidirect
725. #125	C₂³×C₇	semidirect
726. #125	C₂³×C₇	semidirect
727. #125	C₂³×C₇	semidirect
729. #124	C₂³×C₇	semidirect
730. #124	C₂³×C₇	semidirect
731. #124	C₂³×C₇	semidirect
732. #124	C₂³×C₇	semidirect
733. #124	C₂³×C₇	semidirect
741. #123	C₂³×C₇	semidirect
742. #123	C₂³×C₇	semidirect
743. #123	C₂³×C₇	semidirect
744. #123	C₂³×C₇	semidirect
745. #123	C₂³×C₇	semidirect
746. #123	C₂³×C₇	semidirect
747. #123	C₂³×C₇	semidirect
748. #123	C₂³×C₇	semidirect
749. #123	C₂³×C₇	semidirect
750. #123	C₂³×C₇	semidirect
751. #123	C₂³×C₇	semidirect
752. C₂²⋊Q₈	C₂³×C₇	semidirect
753. C₂²⋊Q₈	C₂³×C₇	semidirect
754. C₂²⋊Q₈	C₂³×C₇	semidirect
755. C₂²⋊Q₈	C₂³×C₇	semidirect
756. C₂²⋊Q₈	C₂³×C₇	semidirect
757. C₂²⋊Q₈	C₂³×C₇	semidirect
758. C₂²⋊Q₈	C₂³×C₇	semidirect
759. C₂²⋊Q₈	C₂³×C₇	semidirect
764. #121	C₂³×C₇	semidirect
765. #121	C₂³×C₇	semidirect
766. #121	C₂³×C₇	semidirect
767. #121	C₂³×C₇	semidirect
768. #121	C₂³×C₇	semidirect
769. #121	C₂³×C₇	semidirect
770. #121	C₂³×C₇	semidirect
771. #121	C₂³×C₇	semidirect
776. #120	C₂³×C₇	semidirect
777. #120	C₂³×C₇	semidirect
778. C₄×Q₈	C₂³×C₇	semidirect
780. C₄×D₄	C₂³×C₇	semidirect
781. C₄×D₄	C₂³×C₇	semidirect
782. C₄×D₄	C₂³×C₇	semidirect
783. C₄×D₄	C₂³×C₇	semidirect
784. C₄×D₄	C₂³×C₇	semidirect
785. C₄×D₄	C₂³×C₇	semidirect
786. C₄×D₄	C₂³×C₇	semidirect
787. C₄×D₄	C₂³×C₇	semidirect
788. #117	C₂³×C₇	semidirect
789. #117	C₂³×C₇	semidirect
790. #117	C₂³×C₇	semidirect
791. #117	C₂³×C₇	semidirect
811. C₂×C₄⋊C₄	C₂³×C₇	semidirect
812. C₂×C₄⋊C₄	C₂³×C₇	semidirect
842. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
843. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
1047. C₂×C₇	#3533	direct (N × H)
1139. C₇	C₂×#3533	direct (N × H)
1188. C₂	C₇×#3533	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×#3533	2
C₂×C₇×#563	2
C₂×C₇×#562	2
C₂×C₇×#560	2
C₂×C₇×#559	2
C₂×C₇×#553	2
C₂×C₇×#552	2
C₂×C₇×#551	2
C₂×C₇×#547	2
C₂×C₇×#546	2
C₂×C₇×#542	2
C₂×C₇×#540	2
C₂×C₇×#539	2
C₂×C₇×#538	2
C₂×C₇×#535	2
C₂×C₇×#534	2
C₂×C₇×#525	2
C₂²×C₇×#123	2
C₂×#3533	7

Subgroups — C2×C7×#3533 #13239942

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3533 #13239942