Subgroups — D₇×#3568 #14261222

Order 1792.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1224 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3568	C₂	1	1	yes	maximal, characteristic, complemented
2	D₇×#563	C₂	1	3	yes	maximal, complemented
3	#11744194	C₂	1	3	yes	maximal, complemented
4	D₇×H(3,𝔽₄)	C₂	1	1	yes	maximal, characteristic, complemented
5	#11744156	C₂	1	1	yes	maximal, characteristic, complemented
6	D₇×#556	C₂	1	6	yes	maximal, complemented
7	#11744070	C₂	1	6	yes	maximal, complemented
8	D₇×#551	C₂	1	6	yes	maximal, complemented
9	#11743881	C₂	1	6	yes	maximal, complemented
10	D₇×#542	C₂	1	6	yes	maximal, complemented
11	#11743616	C₂	1	6	yes	maximal, complemented
12	D₇×#538	C₂	1	6	yes	maximal, complemented
13	#11743480	C₂	1	6	yes	maximal, complemented
14	D₇×#529	C₂	1	3	yes	maximal, complemented
15	#11743212	C₂	1	3	yes	maximal, complemented
16	C₇×#563	C₂²	1	3	yes	complemented
17	C₇×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
18	C₇×#556	C₂²	1	6	yes	complemented
19	C₇×#551	C₂²	1	6	yes	complemented
20	C₇×#542	C₂²	1	6	yes	complemented
21	C₇×#538	C₂²	1	6	yes	complemented
22	C₇×#529	C₂²	1	3	yes	complemented
23	#90426	C₂²	1	6	yes	complemented
24	#90424	C₂²	1	6	yes	complemented
25	#90423	C₂²	1	6	yes	complemented
26	D₇×C₄⋊Q₈	C₂²	1	6	yes	complemented
27	#90403	C₂²	1	6	yes	complemented
28	#90403	C₂²	1	6	yes	complemented
29	#90401	C₂²	1	6	yes	complemented
30	#90401	C₂²	1	6	yes	complemented
31	#90397	C₂²	1	6	yes	complemented
32	#90396	C₂²	1	6	yes	complemented
33	#90396	C₂²	1	6	yes	complemented
34	#90395	C₂²	1	6	yes	complemented
35	#90395	C₂²	1	6	yes	complemented
36	D₇×#126	C₂²	1	6	yes	complemented
37	D₇×#126	C₂²	1	6	yes	complemented
38	D₇×#126	C₂²	1	6	yes	complemented
39	D₇×#126	C₂²	1	2	yes	complemented
40	D₇×#126	C₂²	1	6	yes	complemented
41	#90393	C₂²	1	6	yes	complemented
42	#90393	C₂²	1	6	yes	complemented
43	#90393	C₂²	1	6	yes	complemented
44	#90393	C₂²	1	6	yes	complemented
45	#90390	C₂²	1	3	yes	complemented
46	#90390	C₂²	1	3	yes	complemented
47	#90382	C₂²	1	3	yes	complemented
48	D₇×#125	C₂²	1	3	yes	complemented
49	#90374	C₂²	1	6	yes	complemented
50	#90374	C₂²	1	3	yes	complemented
51	#90373	C₂²	1	6	yes	complemented
52	#90371	C₂²	1	3	yes	complemented
53	#90370	C₂²	1	6	yes	complemented
54	#90369	C₂²	1	6	yes	complemented
55	#90369	C₂²	1	6	yes	complemented
56	D₇×#124	C₂²	1	6	yes	—
57	D₇×#124	C₂²	1	6	yes	—
58	D₇×#124	C₂²	1	3	yes	—
59	D₇×#124	C₂²	1	6	yes	complemented
60	#90363	C₂²	1	3	yes	complemented
61	#90362	C₂²	1	6	yes	complemented
62	#90362	C₂²	1	6	yes	complemented
63	#90360	C₂²	1	6	yes	complemented
64	#90360	C₂²	1	6	yes	complemented
65	#90353	C₂²	1	6	yes	complemented
66	#90353	C₂²	1	6	yes	complemented
67	#90350	C₂²	1	6	yes	complemented
68	#90349	C₂²	1	6	yes	complemented
69	#90349	C₂²	1	6	yes	complemented
70	#90348	C₂²	1	6	yes	complemented
71	#90348	C₂²	1	6	yes	complemented
72	D₇×#123	C₂²	1	6	yes	—
73	D₇×#123	C₂²	1	6	yes	—
74	D₇×#123	C₂²	1	6	yes	complemented
75	#90342	C₂²	1	6	yes	complemented
76	#90340	C₂²	1	6	yes	complemented
77	#90337	C₂²	1	6	yes	complemented
78	#90337	C₂²	1	6	yes	complemented
79	#90335	C₂²	1	6	yes	complemented
80	#90334	C₂²	1	6	yes	complemented
81	#90332	C₂²	1	6	yes	complemented
82	#90332	C₂²	1	6	yes	complemented
83	#90331	C₂²	1	6	yes	complemented
84	#90331	C₂²	1	6	yes	complemented
85	#90328	C₂²	1	6	yes	complemented
86	#90328	C₂²	1	6	yes	complemented
87	D₇×C₂²⋊Q₈	C₂²	1	6	yes	complemented
88	D₇×C₂²⋊Q₈	C₂²	1	6	yes	complemented
89	D₇×C₂²⋊Q₈	C₂²	1	3	yes	complemented
90	D₇×C₂²⋊Q₈	C₂²	1	6	yes	complemented
91	#90315	C₂²	1	3	yes	complemented
92	#90308	C₂²	1	6	yes	complemented
93	#90304	C₂²	1	6	yes	complemented
94	#90304	C₂²	1	6	yes	complemented
95	D₇×#121	C₂²	1	6	yes	—
96	D₇×#121	C₂²	1	3	yes	—
97	#90294	C₂²	1	6	yes	complemented
98	#90291	C₂²	1	3	yes	complemented
99	#90285	C₂²	1	6	yes	complemented
100	#90284	C₂²	1	6	yes	complemented
101	#90284	C₂²	1	6	yes	complemented
102	D₇×#120	C₂²	1	6	yes	—
103	D₇×#120	C₂²	1	2	yes	complemented
104	#90278	C₂²	1	6	yes	complemented
105	#90275	C₂²	1	6	yes	complemented
106	#90273	C₂²	1	6	yes	complemented
107	#90271	C₂²	1	3	yes	complemented
108	C₄×Q₈×D₇	C₂²	1	6	yes	complemented
109	C₄×Q₈×D₇	C₂²	1	3	yes	complemented
110	#90259	C₂²	1	6	yes	complemented
111	#90259	C₂²	1	6	yes	complemented
112	#90252	C₂²	1	6	yes	complemented
113	#90251	C₂²	1	6	yes	complemented
114	#90251	C₂²	1	6	yes	complemented
115	#90248	C₂²	1	3	yes	complemented
116	#90247	C₂²	1	6	yes	complemented
117	#90247	C₂²	1	6	yes	complemented
118	C₄×D₄×D₇	C₂²	1	6	yes	—
119	C₄×D₄×D₇	C₂²	1	3	yes	—
120	C₄×D₄×D₇	C₂²	1	6	yes	complemented
121	#90233	C₂²	1	6	yes	complemented
122	#90229	C₂²	1	6	yes	complemented
123	#90225	C₂²	1	6	yes	complemented
124	#90224	C₂²	1	6	yes	complemented
125	#90224	C₂²	1	6	yes	complemented
126	#90219	C₂²	1	6	yes	complemented
127	#90218	C₂²	1	6	yes	complemented
128	#90218	C₂²	1	6	yes	complemented
129	D₇×#117	C₂²	1	6	yes	complemented
130	D₇×#117	C₂²	1	6	yes	complemented
131	#90186	C₂²	1	6	yes	complemented
132	#90186	C₂²	1	6	yes	complemented
133	#90185	C₂²	1	6	yes	complemented
134	C₂×D₇×C₂²⋊C₄	C₂²	1	6	yes	complemented
135	#90170	C₂²	1	3	yes	complemented
136	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic, complemented
137	C₂×#3568	—	7	1	no	maximal, Sylow
138	C₂⁴×D₇	C₂³	1	2	yes	—
139	C₂×Q₈×D₇	C₂³	1	3	yes	—
140	C₂×Q₈×D₇	C₂³	1	6	yes	—
141	C₂×D₄×D₇	C₂³	1	3	yes	—
142	C₂×D₄×D₇	C₂³	1	6	yes	—
143	C₂×D₄×D₇	C₂³	1	6	yes	—
144	C₂²×C₄×D₇	C₂³	1	3	yes	—
145	C₂²×C₄×D₇	C₂³	1	6	yes	—
146	C₂²×C₄×D₇	C₂³	1	6	yes	—
147	C₇×C₄⋊Q₈	C₂³	1	6	yes	complemented
148	C₇×#126	C₂³	1	6	yes	complemented
149	C₇×#126	C₂³	1	6	yes	complemented
150	C₇×#126	C₂³	1	6	yes	complemented
151	C₇×#126	C₂³	1	6	yes	complemented
152	C₇×#126	C₂³	1	2	yes	complemented
153	C₇×#125	C₂³	1	3	yes	complemented
154	C₇×#124	C₂³	1	6	yes	—
155	C₇×#124	C₂³	1	3	yes	—
156	C₇×#124	C₂³	1	6	yes	—
157	C₇×#124	C₂³	1	6	yes	complemented
158	C₇×#123	C₂³	1	6	yes	—
159	C₇×#123	C₂³	1	6	yes	—
160	C₇×#123	C₂³	1	6	yes	complemented
161	C₇×C₂²⋊Q₈	C₂³	1	3	yes	complemented
162	C₇×C₂²⋊Q₈	C₂³	1	6	yes	complemented
163	C₇×C₂²⋊Q₈	C₂³	1	6	yes	complemented
164	C₇×C₂²⋊Q₈	C₂³	1	6	yes	complemented
165	C₇×#121	C₂³	1	3	yes	—
166	C₇×#121	C₂³	1	6	yes	—
167	C₇×#120	C₂³	1	6	yes	—
168	C₇×#120	C₂³	1	2	yes	complemented
169	C₄×C₇×Q₈	C₂³	1	3	yes	complemented
170	C₄×C₇×Q₈	C₂³	1	6	yes	complemented
171	C₄×C₇×D₄	C₂³	1	6	yes	—
172	C₄×C₇×D₄	C₂³	1	3	yes	—
173	C₄×C₇×D₄	C₂³	1	6	yes	complemented
174	C₇×#117	C₂³	1	6	yes	complemented
175	C₇×#117	C₂³	1	6	yes	complemented
176	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	complemented
177	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic, complemented
178	#6516	C₂³	1	6	yes	—
179	#6516	C₂³	1	2	yes	complemented
180	C₂×C₂²⋊Dic₇	C₂³	1	6	yes	complemented
181	#6510	C₂³	1	6	yes	—
182	#6510	C₂³	1	6	yes	—
183	#6510	C₂³	1	3	yes	—
184	#6510	C₂³	1	6	yes	complemented
185	#6509	C₂³	1	6	yes	complemented
186	#6509	C₂³	1	6	yes	complemented
187	#6509	C₂³	1	6	yes	complemented
188	#6509	C₂³	1	3	yes	complemented
189	Q₈×Dic₇	C₂³	1	3	yes	complemented
190	Q₈×Dic₇	C₂³	1	6	yes	complemented
191	#6507	C₂³	1	6	yes	complemented
192	#6507	C₂³	1	6	yes	complemented
193	#6502	C₂³	1	6	yes	—
194	#6502	C₂³	1	6	yes	—
195	#6502	C₂³	1	6	yes	—
196	#6501	C₂³	1	3	yes	—
197	#6501	C₂³	1	6	yes	—
198	#6500	C₂³	1	6	yes	—
199	#6500	C₂³	1	6	yes	—
200	#6500	C₂³	1	6	yes	—
201	#6500	C₂³	1	6	yes	complemented
202	#6499	C₂³	1	6	yes	—
203	#6499	C₂³	1	6	yes	—
204	#6499	C₂³	1	3	yes	—
205	#6499	C₂³	1	6	yes	complemented
206	#6498	C₂³	1	6	yes	—
207	#6498	C₂³	1	6	yes	—
208	#6498	C₂³	1	6	yes	complemented
209	D₄×Dic₇	C₂³	1	3	yes	—
210	D₄×Dic₇	C₂³	1	6	yes	—
211	D₄×Dic₇	C₂³	1	6	yes	complemented
212	#6493	C₂³	1	3	yes	—
213	#6493	C₂³	1	6	yes	—
214	#6492	C₂³	1	6	yes	—
215	#6492	C₂³	1	6	yes	—
216	#6492	C₂³	1	6	yes	complemented
217	C₄×C₂²⋊D₇	C₂³	1	6	yes	—
218	C₄×C₂²⋊D₇	C₂³	1	6	yes	—
219	C₄×C₂²⋊D₇	C₂³	1	6	yes	—
220	C₄×C₂²⋊D₇	C₂³	1	6	yes	complemented
221	C₄×C₂²⋊D₇	C₂³	1	6	yes	complemented
222	C₂×(C₂×D₇)⋊C₄	C₂³	1	6	yes	complemented
223	C₂×(C₂×D₇)⋊C₄	C₂³	1	6	yes	complemented
224	#6489	C₂³	1	6	yes	complemented
225	#6489	C₂³	1	6	yes	complemented
226	#6487	C₂³	1	3	yes	complemented
227	#6487	C₂³	1	6	yes	complemented
228	#6487	C₂³	1	6	yes	complemented
229	#6487	C₂³	1	6	yes	complemented
230	C₂×C₄×Dic₇	C₂³	1	3	yes	complemented
231	#6461	C₂³	1	6	yes	complemented
232	#6461	C₂³	1	6	yes	complemented
233	#6461	C₂³	1	6	yes	complemented
234	#6461	C₂³	1	6	yes	complemented
235	#6461	C₂³	1	6	yes	complemented
236	#6461	C₂³	1	6	yes	complemented
237	#6461	C₂³	1	6	yes	complemented
238	#6461	C₂³	1	6	yes	complemented
239	#6461	C₂³	1	6	yes	complemented
240	#6461	C₂³	1	6	yes	complemented
241	#6461	C₂³	1	6	yes	complemented
242	#6461	C₂³	1	6	yes	complemented
243	#6461	C₂³	1	6	yes	complemented
244	#6460	C₂³	1	3	yes	complemented
245	#6460	C₂³	1	6	yes	complemented
246	#6460	C₂³	1	6	yes	complemented
247	#6460	C₂³	1	6	yes	complemented
248	#6459	C₂³	1	6	yes	complemented
249	#6459	C₂³	1	6	yes	complemented
250	#6459	C₂³	1	6	yes	complemented
251	#6459	C₂³	1	6	yes	complemented
252	#6459	C₂³	1	6	yes	complemented
253	#6459	C₂³	1	6	yes	complemented
254	#6459	C₂³	1	6	yes	complemented
255	#6458	C₂³	1	3	yes	—
256	#6458	C₂³	1	6	yes	—
257	#6457	C₂³	1	6	yes	—
258	#6457	C₂³	1	6	yes	—
259	#6457	C₂³	1	6	yes	—
260	#6457	C₂³	1	6	yes	—
261	#6457	C₂³	1	6	yes	complemented
262	#6457	C₂³	1	6	yes	complemented
263	#6456	C₂³	1	3	yes	—
264	#6456	C₂³	1	6	yes	—
265	#6456	C₂³	1	6	yes	complemented
266	#6455	C₂³	1	6	yes	complemented
267	#6455	C₂³	1	6	yes	complemented
268	#6455	C₂³	1	6	yes	complemented
269	#6455	C₂³	1	6	yes	complemented
270	D₇×C₄⋊C₄	C₂³	1	6	yes	—
271	D₇×C₄⋊C₄	C₂³	1	3	yes	—
272	D₇×C₄⋊C₄	C₂³	1	3	yes	—
273	D₇×C₄⋊C₄	C₂³	1	6	yes	—
274	D₇×C₄⋊C₄	C₂³	1	6	yes	—
275	D₇×C₄⋊C₄	C₂³	1	6	yes	—
276	D₇×C₄⋊C₄	C₂³	1	6	yes	—
277	D₇×C₄⋊C₄	C₂³	1	6	yes	—
278	#6453	C₂³	1	3	yes	complemented
279	#6453	C₂³	1	3	yes	complemented
280	#6452	C₂³	1	6	yes	complemented
281	#6452	C₂³	1	6	yes	complemented
282	#6451	C₂³	1	6	yes	complemented
283	#6451	C₂³	1	6	yes	complemented
284	#6451	C₂³	1	6	yes	complemented
285	#6451	C₂³	1	6	yes	complemented
286	#6450	C₂³	1	3	yes	complemented
287	#6450	C₂³	1	6	yes	complemented
288	#6450	C₂³	1	6	yes	complemented
289	#6450	C₂³	1	6	yes	complemented
290	#6450	C₂³	1	6	yes	complemented
291	#6449	C₂³	1	6	yes	—
292	#6449	C₂³	1	6	yes	—
293	#6449	C₂³	1	6	yes	complemented
294	#6448	C₂³	1	6	yes	—
295	#6448	C₂³	1	6	yes	—
296	#6448	C₂³	1	6	yes	—
297	#6448	C₂³	1	6	yes	—
298	#6448	C₂³	1	6	yes	—
299	#6448	C₂³	1	6	yes	—
300	#6448	C₂³	1	6	yes	—
301	#6448	C₂³	1	6	yes	—
302	#6448	C₂³	1	6	yes	—
303	#6448	C₂³	1	6	yes	—
304	#6448	C₂³	1	6	yes	complemented
305	#6448	C₂³	1	6	yes	complemented
306	#6448	C₂³	1	6	yes	complemented
307	#6448	C₂³	1	6	yes	complemented
308	#6447	C₂³	1	6	yes	—
309	#6447	C₂³	1	6	yes	—
310	#6447	C₂³	1	6	yes	—
311	#6446	C₂³	1	6	yes	—
312	#6446	C₂³	1	6	yes	—
313	#6446	C₂³	1	6	yes	—
314	#6446	C₂³	1	6	yes	—
315	#6446	C₂³	1	6	yes	complemented
316	#6446	C₂³	1	6	yes	complemented
317	#6445	C₂³	1	6	yes	—
318	#6445	C₂³	1	6	yes	—
319	#6445	C₂³	1	6	yes	—
320	#6445	C₂³	1	6	yes	complemented
321	(C₂²⋊D₇)⋊C₄	C₂³	1	6	yes	—
322	(C₂²⋊D₇)⋊C₄	C₂³	1	6	yes	—
323	(C₂²⋊D₇)⋊C₄	C₂³	1	6	yes	—
324	(C₂²⋊D₇)⋊C₄	C₂³	1	6	yes	complemented
325	(C₂²⋊D₇)⋊C₄	C₂³	1	6	yes	complemented
326	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
327	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
328	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
329	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
330	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
331	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
332	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
333	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
334	D₇×C₂²⋊C₄	C₂³	1	6	yes	—
335	D₇×C₂²⋊C₄	C₂³	1	6	yes	complemented
336	D₇×C₂²⋊C₄	C₂³	1	6	yes	complemented
337	D₇×C₂²⋊C₄	C₂³	1	6	yes	complemented
338	D₇×C₂²⋊C₄	C₂³	1	6	yes	complemented
339	#6442	C₂³	1	6	yes	complemented
340	#6442	C₂³	1	6	yes	complemented
341	#6442	C₂³	1	6	yes	complemented
342	#6442	C₂³	1	6	yes	complemented
343	#6442	C₂³	1	6	yes	complemented
344	#6442	C₂³	1	6	yes	complemented
345	#6442	C₂³	1	6	yes	complemented
346	#6442	C₂³	1	6	yes	complemented
347	#6442	C₂³	1	6	yes	complemented
348	#6442	C₂³	1	6	yes	complemented
349	#6442	C₂³	1	6	yes	complemented
350	#6442	C₂³	1	6	yes	complemented
351	#6442	C₂³	1	6	yes	complemented
352	#6441	C₂³	1	6	yes	complemented
353	#6441	C₂³	1	6	yes	complemented
354	#6441	C₂³	1	6	yes	complemented
355	#6441	C₂³	1	6	yes	complemented
356	#6441	C₂³	1	6	yes	complemented
357	#6441	C₂³	1	6	yes	complemented
358	#6441	C₂³	1	6	yes	complemented
359	#6440	C₂³	1	6	yes	complemented
360	#6440	C₂³	1	6	yes	complemented
361	#6440	C₂³	1	6	yes	complemented
362	#6440	C₂³	1	6	yes	complemented
363	#6439	C₂³	1	6	yes	complemented
364	#6439	C₂³	1	6	yes	complemented
365	#6439	C₂³	1	6	yes	complemented
366	#6439	C₂³	1	6	yes	complemented
367	#6439	C₂³	1	2	yes	complemented
368	#6438	C₂³	1	3	yes	—
369	#6438	C₂³	1	6	yes	—
370	#6438	C₂³	1	6	yes	—
371	#6438	C₂³	1	6	yes	complemented
372	C₄×D₂₈	C₂³	1	6	yes	—
373	C₄×D₂₈	C₂³	1	3	yes	—
374	C₄×D₂₈	C₂³	1	6	yes	complemented
375	#6435	C₂³	1	6	yes	complemented
376	#6435	C₂³	1	6	yes	complemented
377	#6435	C₂³	1	6	yes	complemented
378	#6435	C₂³	1	6	yes	complemented
379	C₄²×D₇	C₂³	1	1	yes	characteristic
380	C₄²×D₇	C₂³	1	6	yes	—
381	C₄²×D₇	C₂³	1	3	yes	—
382	C₄²×D₇	C₂³	1	6	yes	—
383	C₄²×D₇	C₂³	1	2	yes	—
384	C₄²×D₇	C₂³	1	1	yes	characteristic, complemented
385	C₄²×D₇	C₂³	1	3	yes	complemented
386	#6433	C₂³	1	3	yes	complemented
387	#6432	C₂³	1	6	yes	complemented
388	C₄×Dic₁₄	C₂³	1	3	yes	complemented
389	C₄×Dic₁₄	C₂³	1	6	yes	complemented
390	C₄×Dic₁₄	C₂³	1	6	yes	complemented
391	C₄×Dic₁₄	C₂³	1	6	yes	complemented
392	C₄×Dic₁₄	C₂³	1	6	yes	complemented
393	#3568	—	7	3	no	—
394	#3568	—	7	1	no	—
395	#3568	—	7	6	no	—
396	#3568	—	7	6	no	—
397	#3568	—	7	6	no	—
398	#3568	—	7	6	no	—
399	#3568	—	7	3	no	—
400	#3568	D₇	1	1	yes	characteristic, direct product factor
401	C₂×#563	—	7	3	no	—
402	C₂×H(3,𝔽₄)	—	7	1	no	—
403	C₂×#556	—	7	6	no	—
404	C₂×#551	—	7	6	no	—
405	C₂×#542	—	7	6	no	—
406	C₂×#538	—	7	6	no	—
407	C₂×#529	—	7	3	no	—
408	C₂⁴×C₇	C₂⁴	1	2	yes	—
409	C₂³×D₇	—	4	12	no	—
410	C₂³×D₇	C₂⁴	1	6	yes	—
411	C₂³×D₇	C₂⁴	1	1	yes	characteristic
412	C₂³×D₇	C₂⁴	1	6	yes	—
413	C₂×C₇×Q₈	C₂⁴	1	3	yes	—
414	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
415	C₂×C₇×D₄	C₂⁴	1	3	yes	—
416	C₂×C₇×D₄	C₂⁴	1	6	yes	—
417	C₂×C₇×D₄	C₂⁴	1	6	yes	—
418	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
419	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
420	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
421	C₂×C₂²⋊D₇	C₂⁴	1	6	yes	—
422	C₂×C₂²⋊D₇	C₂⁴	1	6	yes	—
423	C₂×C₂²⋊D₇	C₂⁴	1	6	yes	—
424	C₂×C₂²⋊D₇	C₂⁴	1	6	yes	—
425	C₂×C₂²⋊D₇	C₂⁴	1	6	yes	—
426	C₂²×Dic₇	C₂⁴	1	6	yes	—
427	C₂²×Dic₇	C₂⁴	1	6	yes	—
428	C₂²×Dic₇	C₂⁴	1	3	yes	—
429	Q₈×D₇	—	4	12	no	—
430	Q₈×D₇	—	4	6	no	—
431	D₄×D₇	—	4	12	no	—
432	D₄×D₇	—	4	6	no	—
433	D₄×D₇	—	4	12	no	—
434	C₂×D₂₈	C₂⁴	1	6	yes	—
435	C₂×D₂₈	C₂⁴	1	3	yes	—
436	C₂×D₂₈	C₂⁴	1	6	yes	—
437	C₂×C₄×D₇	—	4	12	no	—
438	C₂×C₄×D₇	—	4	6	no	—
439	C₂×C₄×D₇	—	4	12	no	—
440	C₂×C₄×D₇	C₂⁴	1	3	yes	—
441	C₂×C₄×D₇	C₂⁴	1	6	yes	—
442	C₂×C₄×D₇	C₂⁴	1	3	yes	—
443	C₂×C₄×D₇	C₂⁴	1	6	yes	—
444	C₂×C₄×D₇	C₂⁴	1	6	yes	—
445	C₂×C₄×D₇	C₂⁴	1	3	yes	—
446	C₂×C₄×D₇	C₂⁴	1	3	yes	—
447	C₂×C₄×D₇	C₂⁴	1	6	yes	—
448	C₂×C₄×D₇	C₂⁴	1	6	yes	—
449	C₂×C₄×D₇	C₂⁴	1	6	yes	—
450	C₂×C₄×D₇	C₂⁴	1	6	yes	—
451	C₂×Dic₁₄	C₂⁴	1	6	yes	—
452	C₂×Dic₁₄	C₂⁴	1	6	yes	—
453	C₂×Dic₁₄	C₂⁴	1	3	yes	—
454	C₂×Dic₁₄	C₂⁴	1	6	yes	—
455	C₂×Dic₁₄	C₂⁴	1	6	yes	—
456	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
457	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
458	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
459	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
460	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
461	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
462	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
463	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
464	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
465	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
466	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
467	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
468	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
469	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
470	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
471	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
472	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
473	C₄²×C₇	C₂⁴	1	2	yes	—
474	C₄²×C₇	C₂⁴	1	6	yes	—
475	C₄²×C₇	C₂⁴	1	6	yes	—
476	C₄²×C₇	C₂⁴	1	3	yes	—
477	C₄²×C₇	C₂⁴	1	1	yes	characteristic
478	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
479	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
480	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
481	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
482	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
483	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
484	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
485	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
486	C₂²⋊Dic₇	C₂⁴	1	6	yes	—
487	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
488	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
489	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
490	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
491	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
492	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
493	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
494	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
495	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
496	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
497	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
498	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
499	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
500	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
501	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
502	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
503	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
504	(C₂×D₇)⋊C₄	C₂⁴	1	6	yes	—
505	C₄⋊Dic₇	C₂⁴	1	6	yes	—
506	C₄⋊Dic₇	C₂⁴	1	6	yes	—
507	C₄⋊Dic₇	C₂⁴	1	3	yes	—
508	C₄⋊Dic₇	C₂⁴	1	6	yes	—
509	C₄⋊Dic₇	C₂⁴	1	6	yes	—
510	C₄⋊Dic₇	C₂⁴	1	6	yes	—
511	C₄⋊Dic₇	C₂⁴	1	6	yes	—
512	C₄⋊Dic₇	C₂⁴	1	3	yes	—
513	Dic₇⋊C₄	C₂⁴	1	6	yes	—
514	Dic₇⋊C₄	C₂⁴	1	6	yes	—
515	Dic₇⋊C₄	C₂⁴	1	6	yes	—
516	Dic₇⋊C₄	C₂⁴	1	6	yes	—
517	Dic₇⋊C₄	C₂⁴	1	6	yes	—
518	Dic₇⋊C₄	C₂⁴	1	6	yes	—
519	Dic₇⋊C₄	C₂⁴	1	6	yes	—
520	Dic₇⋊C₄	C₂⁴	1	6	yes	—
521	Dic₇⋊C₄	C₂⁴	1	6	yes	—
522	Dic₇⋊C₄	C₂⁴	1	6	yes	—
523	Dic₇⋊C₄	C₂⁴	1	6	yes	—
524	Dic₇⋊C₄	C₂⁴	1	6	yes	—
525	Dic₇⋊C₄	C₂⁴	1	6	yes	—
526	Dic₇⋊C₄	C₂⁴	1	6	yes	—
527	C₄×Dic₇	C₂⁴	1	3	yes	—
528	C₄×Dic₇	C₂⁴	1	6	yes	—
529	C₄×Dic₇	C₂⁴	1	6	yes	—
530	C₄×Dic₇	C₂⁴	1	6	yes	—
531	C₄×Dic₇	C₂⁴	1	6	yes	—
532	C₄×Dic₇	C₂⁴	1	3	yes	—
533	C₄×Dic₇	C₂⁴	1	3	yes	—
534	C₄×Dic₇	C₂⁴	1	3	yes	—
535	C₄×Dic₇	C₂⁴	1	6	yes	—
536	C₄×Dic₇	C₂⁴	1	6	yes	—
537	C₄×Dic₇	C₂⁴	1	6	yes	—
538	#563	—	7	6	no	—
539	#563	—	7	6	no	—
540	#563	—	7	6	no	—
541	#563	—	7	3	no	—
542	#563	—	7	3	no	—
543	#563	—	7	3	no	—
544	#563	—	7	6	no	—
545	#563	—	7	6	no	—
546	#563	—	7	6	no	—
547	#563	C₂×D₇	1	3	yes	complemented
548	H(3,𝔽₄)	—	7	6	no	—
549	H(3,𝔽₄)	—	7	3	no	—
550	H(3,𝔽₄)	—	7	6	no	—
551	H(3,𝔽₄)	C₂×D₇	1	1	yes	characteristic, complemented
552	#556	—	7	6	no	—
553	#556	—	7	6	no	—
554	#556	—	7	6	no	—
555	#556	—	7	6	no	—
556	#556	—	7	6	no	—
557	#556	—	7	6	no	—
558	#556	—	7	6	no	—
559	#556	—	7	6	no	—
560	#556	—	7	6	no	—
561	#556	—	7	6	no	—
562	#556	—	7	6	no	—
563	#556	—	7	6	no	—
564	#556	—	7	6	no	—
565	#556	—	7	6	no	—
566	#556	—	7	6	no	—
567	#556	C₂×D₇	1	6	yes	complemented
568	#551	—	7	6	no	—
569	#551	—	7	6	no	—
570	#551	—	7	6	no	—
571	#551	—	7	6	no	—
572	#551	—	7	6	no	—
573	#551	—	7	6	no	—
574	#551	—	7	6	no	—
575	#551	—	7	6	no	—
576	#551	—	7	6	no	—
577	#551	—	7	6	no	—
578	#551	—	7	6	no	—
579	#551	—	7	6	no	—
580	#551	—	7	6	no	—
581	#551	—	7	6	no	—
582	#551	—	7	6	no	—
583	#551	C₂×D₇	1	6	yes	complemented
584	#542	—	7	6	no	—
585	#542	—	7	6	no	—
586	#542	—	7	6	no	—
587	#542	—	7	6	no	—
588	#542	—	7	6	no	—
589	#542	—	7	6	no	—
590	#542	—	7	6	no	—
591	#542	—	7	6	no	—
592	#542	—	7	6	no	—
593	#542	—	7	6	no	—
594	#542	—	7	6	no	—
595	#542	—	7	6	no	—
596	#542	—	7	6	no	—
597	#542	—	7	6	no	—
598	#542	—	7	6	no	—
599	#542	C₂×D₇	1	6	yes	complemented
600	#538	—	7	6	no	—
601	#538	—	7	6	no	—
602	#538	—	7	6	no	—
603	#538	—	7	6	no	—
604	#538	—	7	6	no	—
605	#538	—	7	6	no	—
606	#538	—	7	6	no	—
607	#538	—	7	6	no	—
608	#538	—	7	6	no	—
609	#538	—	7	6	no	—
610	#538	—	7	6	no	—
611	#538	—	7	6	no	—
612	#538	—	7	6	no	—
613	#538	—	7	6	no	—
614	#538	—	7	6	no	—
615	#538	C₂×D₇	1	6	yes	complemented
616	C₂×C₄⋊Q₈	—	7	6	no	—
617	#529	—	7	6	no	—
618	#529	—	7	3	no	—
619	#529	—	7	3	no	—
620	#529	—	7	6	no	—
621	#529	—	7	3	no	—
622	#529	—	7	3	no	—
623	#529	—	7	3	no	—
624	#529	—	7	3	no	—
625	#529	—	7	6	no	—
626	#529	—	7	6	no	—
627	#529	—	7	3	no	—
628	#529	C₂×D₇	1	3	yes	complemented
629	C₂×#126	—	7	6	no	—
630	C₂×#126	—	7	6	no	—
631	C₂×#126	—	7	6	no	—
632	C₂×#126	—	7	2	no	—
633	C₂×#126	—	7	6	no	—
634	C₂×#125	—	7	3	no	—
635	C₂×#124	—	7	3	no	—
636	C₂×#124	—	7	6	no	—
637	C₂×#124	—	7	6	no	—
638	C₂×#124	—	7	6	no	—
639	C₂×#123	—	7	6	no	—
640	C₂×#123	—	7	6	no	—
641	C₂×#123	—	7	6	no	—
642	C₂×C₂²⋊Q₈	—	7	3	no	—
643	C₂×C₂²⋊Q₈	—	7	6	no	—
644	C₂×C₂²⋊Q₈	—	7	6	no	—
645	C₂×C₂²⋊Q₈	—	7	6	no	—
646	C₂×#121	—	7	3	no	—
647	C₂×#121	—	7	6	no	—
648	C₂×#120	—	7	6	no	—
649	C₂×#120	—	7	2	no	—
650	C₂×C₄×Q₈	—	7	3	no	—
651	C₂×C₄×Q₈	—	7	6	no	—
652	C₂×C₄×D₄	—	7	3	no	—
653	C₂×C₄×D₄	—	7	6	no	—
654	C₂×C₄×D₄	—	7	6	no	—
655	C₂×#117	—	7	6	no	—
656	C₂×#117	—	7	6	no	—
657	C₂²×C₂²⋊C₄	—	7	6	no	—
658	C₂²×C₄²	—	7	1	no	—
659	C₂³×C₇	—	4	6	no	—
660	C₂³×C₇	C₂⁵	1	6	yes	—
661	C₂³×C₇	C₂⁵	1	1	yes	characteristic
662	C₂²×D₇	—	2	6	no	—
663	C₂²×D₇	—	2	12	no	—
664	C₂²×D₇	—	2	12	no	—
665	C₂²×D₇	—	2	12	no	—
666	C₂²×D₇	—	4	6	no	—
667	C₂²×D₇	—	4	6	no	—
668	C₂²×D₇	—	4	6	no	—
669	C₂²×D₇	—	8	16	no	—
670	C₂²×D₇	C₂⁵	1	6	yes	—
671	C₂²×D₇	C₂⁵	1	1	yes	characteristic
672	C₂²×D₇	C₂⁵	1	1	yes	characteristic
673	C₇×Q₈	—	4	3	no	—
674	C₇×Q₈	—	4	6	no	—
675	C₇×D₄	—	4	6	no	—
676	C₇×D₄	—	4	6	no	—
677	C₇×D₄	—	4	3	no	—
678	C₂×C₄×C₇	—	4	6	no	—
679	C₂×C₄×C₇	—	4	6	no	—
680	C₂×C₄×C₇	—	4	3	no	—
681	C₂×C₄×C₇	C₂⁵	1	3	yes	—
682	C₂×C₄×C₇	C₂⁵	1	6	yes	—
683	C₂×C₄×C₇	C₂⁵	1	3	yes	—
684	C₂×C₄×C₇	C₂⁵	1	6	yes	—
685	C₂×C₄×C₇	C₂⁵	1	6	yes	—
686	C₂²⋊D₇	—	4	6	no	—
687	C₂²⋊D₇	—	4	6	no	—
688	C₂²⋊D₇	—	4	6	no	—
689	C₂²⋊D₇	—	4	6	no	—
690	C₂²⋊D₇	—	4	6	no	—
691	C₂×Dic₇	—	4	6	no	—
692	C₂×Dic₇	—	4	6	no	—
693	C₂×Dic₇	—	4	3	no	—
694	C₂×Dic₇	C₂⁵	1	3	yes	—
695	C₂×Dic₇	C₂⁵	1	6	yes	—
696	C₂×Dic₇	C₂⁵	1	3	yes	—
697	C₂×Dic₇	C₂⁵	1	6	yes	—
698	C₂×Dic₇	C₂⁵	1	6	yes	—
699	D₂₈	—	4	6	no	—
700	D₂₈	—	4	6	no	—
701	D₂₈	—	4	3	no	—
702	C₄×D₇	—	2	6	no	—
703	C₄×D₇	—	2	12	no	—
704	C₄×D₇	—	2	6	no	—
705	C₄×D₇	—	2	12	no	—
706	C₄×D₇	—	2	12	no	—
707	C₄×D₇	—	4	6	no	—
708	C₄×D₇	—	4	6	no	—
709	C₄×D₇	—	4	6	no	—
710	C₄×D₇	—	4	3	no	—
711	C₄×D₇	—	4	6	no	—
712	C₄×D₇	—	4	3	no	—
713	Dic₁₄	—	4	3	no	—
714	Dic₁₄	—	4	6	no	—
715	Dic₁₄	—	4	6	no	—
716	Dic₁₄	—	4	6	no	—
717	Dic₁₄	—	4	6	no	—
718	C₂⁵	—	7	2	no	—
719	C₂²×Q₈	—	7	6	no	—
720	C₂²×Q₈	—	7	3	no	—
721	C₂²×D₄	—	7	3	no	—
722	C₂²×D₄	—	7	6	no	—
723	C₂²×D₄	—	7	6	no	—
724	C₂³×C₄	—	7	6	no	—
725	C₂³×C₄	—	7	6	no	—
726	C₂³×C₄	—	7	3	no	—
727	C₄⋊Q₈	—	7	6	no	—
728	C₄⋊Q₈	—	7	6	no	—
729	C₄⋊Q₈	—	7	6	no	—
730	C₄⋊Q₈	—	7	6	no	—
731	C₄⋊Q₈	—	7	6	no	—
732	C₄⋊Q₈	—	7	6	no	—
733	C₄⋊Q₈	—	7	6	no	—
734	C₄⋊Q₈	C₂²×D₇	1	6	yes	complemented
735	#126	—	7	6	no	—
736	#126	—	7	6	no	—
737	#126	—	7	6	no	—
738	#126	—	7	6	no	—
739	#126	—	7	6	no	—
740	#126	—	7	6	no	—
741	#126	—	7	6	no	—
742	#126	—	7	6	no	—
743	#126	—	7	6	no	—
744	#126	—	7	6	no	—
745	#126	—	7	6	no	—
746	#126	—	7	6	no	—
747	#126	—	7	6	no	—
748	#126	—	7	6	no	—
749	#126	—	7	6	no	—
750	#126	—	7	6	no	—
751	#126	—	7	6	no	—
752	#126	—	7	6	no	—
753	#126	—	7	6	no	—
754	#126	—	7	6	no	—
755	#126	—	7	6	no	—
756	#126	—	7	6	no	—
757	#126	—	7	6	no	—
758	#126	—	7	6	no	—
759	#126	—	7	6	no	—
760	#126	—	7	6	no	—
761	#126	—	7	6	no	—
762	#126	—	7	6	no	—
763	#126	—	7	6	no	—
764	#126	—	7	2	no	—
765	#126	—	7	6	no	—
766	#126	C₂²×D₇	1	6	yes	complemented
767	#126	C₂²×D₇	1	6	yes	complemented
768	#126	C₂²×D₇	1	6	yes	complemented
769	#126	C₂²×D₇	1	2	yes	complemented
770	#126	C₂²×D₇	1	6	yes	complemented
771	#125	—	7	6	no	—
772	#125	—	7	6	no	—
773	#125	—	7	3	no	—
774	#125	—	7	3	no	—
775	#125	—	7	3	no	—
776	#125	C₂²×D₇	1	3	yes	complemented
777	#124	—	7	3	no	—
778	#124	—	7	6	no	—
779	#124	—	7	6	no	—
780	#124	—	7	6	no	—
781	#124	—	7	3	no	—
782	#124	—	7	6	no	—
783	#124	—	7	6	no	—
784	#124	—	7	6	no	—
785	#124	—	7	6	no	—
786	#124	—	7	6	no	—
787	#124	—	7	6	no	—
788	#124	—	7	6	no	—
789	#124	—	7	6	no	—
790	#124	—	7	6	no	—
791	#124	—	7	6	no	—
792	#124	—	7	6	no	—
793	#124	—	7	6	no	—
794	#124	—	7	6	no	—
795	#124	—	7	6	no	—
796	#124	—	7	6	no	—
797	#124	—	7	6	no	—
798	#124	—	7	6	no	—
799	#124	—	7	3	no	—
800	#124	—	7	6	no	—
801	#124	—	7	6	no	—
802	#124	—	7	6	no	—
803	#124	C₂²×D₇	1	3	yes	—
804	#124	C₂²×D₇	1	6	yes	—
805	#124	C₂²×D₇	1	6	yes	—
806	#124	C₂²×D₇	1	6	yes	complemented
807	#123	—	7	6	no	—
808	#123	—	7	6	no	—
809	#123	—	7	6	no	—
810	#123	—	7	6	no	—
811	#123	—	7	6	no	—
812	#123	—	7	6	no	—
813	#123	—	7	6	no	—
814	#123	—	7	6	no	—
815	#123	—	7	6	no	—
816	#123	—	7	6	no	—
817	#123	—	7	6	no	—
818	#123	—	7	6	no	—
819	#123	—	7	6	no	—
820	#123	—	7	6	no	—
821	#123	—	7	6	no	—
822	#123	—	7	6	no	—
823	#123	—	7	6	no	—
824	#123	—	7	6	no	—
825	#123	—	7	6	no	—
826	#123	—	7	6	no	—
827	#123	—	7	6	no	—
828	#123	C₂²×D₇	1	6	yes	—
829	#123	C₂²×D₇	1	6	yes	—
830	#123	C₂²×D₇	1	6	yes	complemented
831	C₂²⋊Q₈	—	7	3	no	—
832	C₂²⋊Q₈	—	7	6	no	—
833	C₂²⋊Q₈	—	7	6	no	—
834	C₂²⋊Q₈	—	7	6	no	—
835	C₂²⋊Q₈	—	7	3	no	—
836	C₂²⋊Q₈	—	7	6	no	—
837	C₂²⋊Q₈	—	7	6	no	—
838	C₂²⋊Q₈	—	7	6	no	—
839	C₂²⋊Q₈	—	7	6	no	—
840	C₂²⋊Q₈	—	7	3	no	—
841	C₂²⋊Q₈	—	7	6	no	—
842	C₂²⋊Q₈	—	7	6	no	—
843	C₂²⋊Q₈	—	7	6	no	—
844	C₂²⋊Q₈	—	7	6	no	—
845	C₂²⋊Q₈	—	7	6	no	—
846	C₂²⋊Q₈	—	7	6	no	—
847	C₂²⋊Q₈	—	7	6	no	—
848	C₂²⋊Q₈	—	7	6	no	—
849	C₂²⋊Q₈	—	7	6	no	—
850	C₂²⋊Q₈	—	7	6	no	—
851	C₂²⋊Q₈	—	7	6	no	—
852	C₂²⋊Q₈	—	7	6	no	—
853	C₂²⋊Q₈	—	7	6	no	—
854	C₂²⋊Q₈	—	7	6	no	—
855	C₂²⋊Q₈	—	7	6	no	—
856	C₂²⋊Q₈	—	7	6	no	—
857	C₂²⋊Q₈	C₂²×D₇	1	3	yes	complemented
858	C₂²⋊Q₈	C₂²×D₇	1	6	yes	complemented
859	C₂²⋊Q₈	C₂²×D₇	1	6	yes	complemented
860	C₂²⋊Q₈	C₂²×D₇	1	6	yes	complemented
861	#121	—	7	3	no	—
862	#121	—	7	6	no	—
863	#121	—	7	6	no	—
864	#121	—	7	6	no	—
865	#121	—	7	6	no	—
866	#121	—	7	3	no	—
867	#121	—	7	6	no	—
868	#121	—	7	3	no	—
869	#121	—	7	6	no	—
870	#121	—	7	6	no	—
871	#121	—	7	6	no	—
872	#121	—	7	6	no	—
873	#121	C₂²×D₇	1	3	yes	—
874	#121	C₂²×D₇	1	6	yes	—
875	#120	—	7	2	no	—
876	#120	—	7	6	no	—
877	#120	—	7	6	no	—
878	#120	—	7	6	no	—
879	#120	—	7	6	no	—
880	#120	—	7	6	no	—
881	#120	—	7	6	no	—
882	#120	—	7	6	no	—
883	#120	—	7	6	no	—
884	#120	—	7	6	no	—
885	#120	C₂²×D₇	1	6	yes	—
886	#120	C₂²×D₇	1	2	yes	complemented
887	C₄×Q₈	—	7	3	no	—
888	C₄×Q₈	—	7	6	no	—
889	C₄×Q₈	—	7	3	no	—
890	C₄×Q₈	—	7	6	no	—
891	C₄×Q₈	—	7	6	no	—
892	C₄×Q₈	—	7	6	no	—
893	C₄×Q₈	—	7	6	no	—
894	C₄×Q₈	—	7	6	no	—
895	C₄×Q₈	—	7	3	no	—
896	C₄×Q₈	—	7	6	no	—
897	C₄×Q₈	—	7	6	no	—
898	C₄×Q₈	—	7	6	no	—
899	C₄×Q₈	C₂²×D₇	1	3	yes	complemented
900	C₄×Q₈	C₂²×D₇	1	6	yes	complemented
901	C₄×D₄	—	7	6	no	—
902	C₄×D₄	—	7	3	no	—
903	C₄×D₄	—	7	6	no	—
904	C₄×D₄	—	7	6	no	—
905	C₄×D₄	—	7	6	no	—
906	C₄×D₄	—	7	6	no	—
907	C₄×D₄	—	7	6	no	—
908	C₄×D₄	—	7	6	no	—
909	C₄×D₄	—	7	6	no	—
910	C₄×D₄	—	7	3	no	—
911	C₄×D₄	—	7	6	no	—
912	C₄×D₄	—	7	6	no	—
913	C₄×D₄	—	7	6	no	—
914	C₄×D₄	—	7	6	no	—
915	C₄×D₄	—	7	6	no	—
916	C₄×D₄	—	7	6	no	—
917	C₄×D₄	—	7	6	no	—
918	C₄×D₄	—	7	3	no	—
919	C₄×D₄	—	7	6	no	—
920	C₄×D₄	C₂²×D₇	1	3	yes	—
921	C₄×D₄	C₂²×D₇	1	6	yes	—
922	C₄×D₄	C₂²×D₇	1	6	yes	complemented
923	#117	—	7	6	no	—
924	#117	—	7	6	no	—
925	#117	—	7	6	no	—
926	#117	—	7	6	no	—
927	#117	—	7	6	no	—
928	#117	—	7	6	no	—
929	#117	—	7	6	no	—
930	#117	—	7	6	no	—
931	#117	—	7	6	no	—
932	#117	—	7	6	no	—
933	#117	—	7	6	no	—
934	#117	—	7	6	no	—
935	#117	—	7	6	no	—
936	#117	—	7	6	no	—
937	#117	C₂²×D₇	1	6	yes	complemented
938	#117	C₂²×D₇	1	6	yes	complemented
939	C₂×C₄⋊C₄	—	7	6	no	—
940	C₂×C₄⋊C₄	—	7	6	no	—
941	C₂×C₄⋊C₄	—	7	6	no	—
942	C₂×C₄⋊C₄	—	7	6	no	—
943	C₂×C₄⋊C₄	—	7	3	no	—
944	C₂×C₄⋊C₄	—	7	6	no	—
945	C₂×C₄⋊C₄	—	7	3	no	—
946	C₂×C₄⋊C₄	—	7	6	no	—
947	C₂×C₂²⋊C₄	—	7	6	no	—
948	C₂×C₂²⋊C₄	—	7	6	no	—
949	C₂×C₂²⋊C₄	—	7	6	no	—
950	C₂×C₂²⋊C₄	—	7	6	no	—
951	C₂×C₂²⋊C₄	—	7	6	no	—
952	C₂×C₂²⋊C₄	—	7	6	no	—
953	C₂×C₂²⋊C₄	—	7	6	no	—
954	C₂×C₂²⋊C₄	—	7	6	no	—
955	C₂×C₂²⋊C₄	—	7	6	no	—
956	C₂×C₂²⋊C₄	—	7	6	no	—
957	C₂×C₂²⋊C₄	—	7	6	no	—
958	C₂×C₂²⋊C₄	—	7	6	no	—
959	C₂×C₂²⋊C₄	—	7	6	no	—
960	C₂×C₂²⋊C₄	—	7	6	no	—
961	C₂×C₂²⋊C₄	—	7	6	no	—
962	C₂×C₂²⋊C₄	—	7	6	no	—
963	C₂×C₂²⋊C₄	C₂²×D₇	1	6	yes	complemented
964	C₂×C₄²	—	7	3	no	—
965	C₂×C₄²	—	7	6	no	—
966	C₂×C₄²	—	7	3	no	—
967	C₂×C₄²	—	7	6	no	—
968	C₂×C₄²	—	7	2	no	—
969	C₂×C₄²	—	7	1	no	—
970	C₂×C₄²	—	7	1	no	—
971	C₂×C₄²	—	7	3	no	—
972	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic, complemented
973	C₂²×C₇	—	2	3	no	—
974	C₂²×C₇	—	2	6	no	—
975	C₂²×C₇	—	2	6	no	—
976	C₂²×C₇	—	2	6	no	—
977	C₂²×C₇	—	8	4	no	—
978	C₂²×C₇	C₂⁶	1	1	yes	characteristic
979	C₂×D₇	—	2	3	no	—
980	C₂×D₇	—	2	6	no	—
981	C₂×D₇	—	2	6	no	—
982	C₂×D₇	—	2	6	no	—
983	C₂×D₇	—	4	4	no	—
984	C₂×D₇	—	4	24	no	—
985	C₂×D₇	—	8	12	no	—
986	C₂×D₇	#585	1	6	yes	—
987	C₄×C₇	—	2	6	no	—
988	C₄×C₇	—	2	6	no	—
989	C₄×C₇	—	2	3	no	—
990	C₄×C₇	—	2	6	no	—
991	C₄×C₇	—	2	3	no	—
992	Dic₇	—	2	6	no	—
993	Dic₇	—	2	6	no	—
994	Dic₇	—	2	3	no	—
995	Dic₇	—	2	6	no	—
996	Dic₇	—	2	3	no	—
997	C₂⁴	—	7	6	no	—
998	C₂⁴	—	7	1	no	—
999	C₂⁴	—	7	6	no	—
1000	C₂⁴	—	28	12	no	—
1001	C₂⁴	C₂³×D₇	1	2	yes	—
1002	C₂×Q₈	—	7	6	no	—
1003	C₂×Q₈	—	7	6	no	—
1004	C₂×Q₈	—	7	6	no	—
1005	C₂×Q₈	—	7	3	no	—
1006	C₂×Q₈	—	7	6	no	—
1007	C₂×Q₈	—	28	12	no	—
1008	C₂×Q₈	—	28	6	no	—
1009	C₂×Q₈	C₂³×D₇	1	6	yes	—
1010	C₂×Q₈	C₂³×D₇	1	3	yes	—
1011	C₂×D₄	—	7	6	no	—
1012	C₂×D₄	—	7	6	no	—
1013	C₂×D₄	—	7	6	no	—
1014	C₂×D₄	—	7	6	no	—
1015	C₂×D₄	—	7	6	no	—
1016	C₂×D₄	—	7	3	no	—
1017	C₂×D₄	—	7	6	no	—
1018	C₂×D₄	—	7	6	no	—
1019	C₂×D₄	—	28	12	no	—
1020	C₂×D₄	—	28	6	no	—
1021	C₂×D₄	—	28	12	no	—
1022	C₂×D₄	C₂³×D₇	1	3	yes	—
1023	C₂×D₄	C₂³×D₇	1	6	yes	—
1024	C₂×D₄	C₂³×D₇	1	6	yes	—
1025	C₂²×C₄	—	7	3	no	—
1026	C₂²×C₄	—	7	6	no	—
1027	C₂²×C₄	—	7	6	no	—
1028	C₂²×C₄	—	7	3	no	—
1029	C₂²×C₄	—	7	6	no	—
1030	C₂²×C₄	—	7	6	no	—
1031	C₂²×C₄	—	7	3	no	—
1032	C₂²×C₄	—	7	6	no	—
1033	C₂²×C₄	—	7	3	no	—
1034	C₂²×C₄	—	7	3	no	—
1035	C₂²×C₄	—	7	6	no	—
1036	C₂²×C₄	—	7	6	no	—
1037	C₂²×C₄	—	7	6	no	—
1038	C₂²×C₄	—	7	6	no	—
1039	C₂²×C₄	—	28	12	no	—
1040	C₂²×C₄	—	28	6	no	—
1041	C₂²×C₄	—	28	12	no	—
1042	C₂²×C₄	C₂³×D₇	1	3	yes	—
1043	C₂²×C₄	C₂³×D₇	1	6	yes	—
1044	C₂²×C₄	C₂³×D₇	1	6	yes	—
1045	C₄⋊C₄	—	7	6	no	—
1046	C₄⋊C₄	—	7	6	no	—
1047	C₄⋊C₄	—	7	6	no	—
1048	C₄⋊C₄	—	7	6	no	—
1049	C₄⋊C₄	—	7	6	no	—
1050	C₄⋊C₄	—	7	6	no	—
1051	C₄⋊C₄	—	7	6	no	—
1052	C₄⋊C₄	—	7	6	no	—
1053	C₄⋊C₄	—	7	6	no	—
1054	C₄⋊C₄	—	7	6	no	—
1055	C₄⋊C₄	—	7	6	no	—
1056	C₄⋊C₄	—	7	6	no	—
1057	C₄⋊C₄	—	7	6	no	—
1058	C₄⋊C₄	—	7	6	no	—
1059	C₄⋊C₄	—	7	6	no	—
1060	C₄⋊C₄	—	7	6	no	—
1061	C₄⋊C₄	—	7	6	no	—
1062	C₄⋊C₄	—	7	6	no	—
1063	C₄⋊C₄	—	7	3	no	—
1064	C₄⋊C₄	—	7	6	no	—
1065	C₄⋊C₄	—	7	3	no	—
1066	C₄⋊C₄	—	7	6	no	—
1067	C₄⋊C₄	C₂³×D₇	1	6	yes	—
1068	C₄⋊C₄	C₂³×D₇	1	6	yes	—
1069	C₄⋊C₄	C₂³×D₇	1	6	yes	—
1070	C₄⋊C₄	C₂³×D₇	1	6	yes	—
1071	C₄⋊C₄	C₂³×D₇	1	3	yes	—
1072	C₄⋊C₄	C₂³×D₇	1	6	yes	—
1073	C₄⋊C₄	C₂³×D₇	1	3	yes	—
1074	C₄⋊C₄	C₂³×D₇	1	6	yes	—
1075	C₂²⋊C₄	—	7	6	no	—
1076	C₂²⋊C₄	—	7	6	no	—
1077	C₂²⋊C₄	—	7	6	no	—
1078	C₂²⋊C₄	—	7	6	no	—
1079	C₂²⋊C₄	—	7	6	no	—
1080	C₂²⋊C₄	—	7	6	no	—
1081	C₂²⋊C₄	—	7	6	no	—
1082	C₂²⋊C₄	—	7	6	no	—
1083	C₂²⋊C₄	—	7	6	no	—
1084	C₂²⋊C₄	—	7	6	no	—
1085	C₂²⋊C₄	—	7	6	no	—
1086	C₂²⋊C₄	—	7	6	no	—
1087	C₂²⋊C₄	—	7	6	no	—
1088	C₂²⋊C₄	—	7	6	no	—
1089	C₂²⋊C₄	—	7	6	no	—
1090	C₂²⋊C₄	—	7	6	no	—
1091	C₂²⋊C₄	—	7	6	no	—
1092	C₂²⋊C₄	—	7	6	no	—
1093	C₂²⋊C₄	—	7	6	no	—
1094	C₂²⋊C₄	—	7	6	no	—
1095	C₂²⋊C₄	—	7	6	no	—
1096	C₂²⋊C₄	—	7	6	no	—
1097	C₂²⋊C₄	—	7	6	no	—
1098	C₂²⋊C₄	—	7	6	no	—
1099	C₂²⋊C₄	—	7	6	no	—
1100	C₂²⋊C₄	—	7	6	no	—
1101	C₂²⋊C₄	—	7	6	no	—
1102	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1103	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1104	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1105	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1106	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1107	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1108	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1109	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1110	C₂²⋊C₄	C₂³×D₇	1	6	yes	—
1111	C₄²	—	7	3	no	—
1112	C₄²	—	7	3	no	—
1113	C₄²	—	7	3	no	—
1114	C₄²	—	7	3	no	—
1115	C₄²	—	7	6	no	—
1116	C₄²	—	7	6	no	—
1117	C₄²	—	7	6	no	—
1118	C₄²	—	7	6	no	—
1119	C₄²	—	7	6	no	—
1120	C₄²	—	7	6	no	—
1121	C₄²	—	7	6	no	—
1122	C₄²	C₂³×D₇	1	3	yes	—
1123	C₄²	C₂³×D₇	1	1	yes	characteristic
1124	C₄²	C₂³×D₇	1	6	yes	—
1125	C₄²	C₂³×D₇	1	6	yes	—
1126	C₄²	C₂³×D₇	1	2	yes	—
1127	C₂×C₇	—	4	6	no	—
1128	C₂×C₇	—	4	1	no	—
1129	C₂×C₇	C₂×#585	1	3	yes	—
1130	D₇	—	4	1	no	—
1131	D₇	—	4	6	no	—
1132	D₇	#3568	1	4	yes	direct product factor
1133	C₂³	—	4	6	no	—
1134	C₂³	—	7	1	no	—
1135	C₂³	—	7	6	no	—
1136	C₂³	—	7	1	no	—
1137	C₂³	—	14	6	no	—
1138	C₂³	—	14	12	no	—
1139	C₂³	—	14	12	no	—
1140	C₂³	—	14	12	no	—
1141	C₂³	—	28	6	no	—
1142	C₂³	—	28	6	no	—
1143	C₂³	—	28	6	no	—
1144	C₂³	—	56	16	no	—
1145	C₂³	C₂⁴×D₇	1	6	yes	—
1146	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1147	Q₈	—	4	6	no	—
1148	Q₈	—	4	3	no	—
1149	Q₈	—	28	6	no	—
1150	Q₈	—	28	6	no	—
1151	Q₈	—	28	3	no	—
1152	Q₈	—	28	6	no	—
1153	Q₈	—	28	6	no	—
1154	D₄	—	4	6	no	—
1155	D₄	—	4	3	no	—
1156	D₄	—	4	6	no	—
1157	D₄	—	28	6	no	—
1158	D₄	—	28	3	no	—
1159	D₄	—	28	6	no	—
1160	D₄	—	28	6	no	—
1161	D₄	—	28	6	no	—
1162	D₄	—	28	6	no	—
1163	D₄	—	28	6	no	—
1164	D₄	—	28	6	no	—
1165	C₂×C₄	—	4	6	no	—
1166	C₂×C₄	—	4	3	no	—
1167	C₂×C₄	—	4	6	no	—
1168	C₂×C₄	—	7	3	no	—
1169	C₂×C₄	—	7	6	no	—
1170	C₂×C₄	—	7	3	no	—
1171	C₂×C₄	—	7	6	no	—
1172	C₂×C₄	—	7	6	no	—
1173	C₂×C₄	—	14	6	no	—
1174	C₂×C₄	—	14	12	no	—
1175	C₂×C₄	—	14	12	no	—
1176	C₂×C₄	—	14	6	no	—
1177	C₂×C₄	—	14	12	no	—
1178	C₂×C₄	—	28	6	no	—
1179	C₂×C₄	—	28	3	no	—
1180	C₂×C₄	—	28	6	no	—
1181	C₂×C₄	—	28	6	no	—
1182	C₂×C₄	—	28	3	no	—
1183	C₂×C₄	—	28	6	no	—
1184	C₂×C₄	—	28	6	no	—
1185	C₂×C₄	—	28	3	no	—
1186	C₂×C₄	—	28	6	no	—
1187	C₂×C₄	C₂⁴×D₇	1	3	yes	—
1188	C₂×C₄	C₂⁴×D₇	1	6	yes	—
1189	C₂×C₄	C₂⁴×D₇	1	3	yes	—
1190	C₂×C₄	C₂⁴×D₇	1	6	yes	—
1191	C₂×C₄	C₂⁴×D₇	1	6	yes	—
1192	C₇	C₂×#3568	1	1	yes	characteristic, complemented, Sylow
1193	C₂²	—	2	3	no	—
1194	C₂²	—	2	6	no	—
1195	C₂²	—	2	6	no	—
1196	C₂²	—	2	6	no	—
1197	C₂²	—	7	6	no	—
1198	C₂²	—	8	4	no	—
1199	C₂²	—	14	3	no	—
1200	C₂²	—	14	6	no	—
1201	C₂²	—	14	6	no	—
1202	C₂²	—	14	6	no	—
1203	C₂²	—	28	24	no	—
1204	C₂²	—	28	4	no	—
1205	C₂²	—	56	12	no	—
1206	C₂²	C₂⁵×D₇	1	1	yes	characteristic
1207	C₄	—	2	3	no	—
1208	C₄	—	2	6	no	—
1209	C₄	—	2	3	no	—
1210	C₄	—	2	6	no	—
1211	C₄	—	2	6	no	—
1212	C₄	—	14	3	no	—
1213	C₄	—	14	6	no	—
1214	C₄	—	14	3	no	—
1215	C₄	—	14	6	no	—
1216	C₄	—	14	6	no	—
1217	C₂	—	4	6	no	—
1218	C₂	—	4	1	no	—
1219	C₂	—	7	4	no	—
1220	C₂	—	28	6	no	—
1221	C₂	—	28	1	no	—
1222	C₂	D₇×#585	1	3	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇
commutator, socle, cosocle	C₂²×C₇	C₂⁶
Fitting	C₇×#3568	C₂
hypercenter	#3568	D₇
hypocenter	C₇	C₂×#3568
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #3568

Complements

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

N	H ≅ G/N	type
1. C₇×#3568	C₂	semidirect
2. D₇×#563	C₂	semidirect
3. #11744194	C₂	semidirect
4. D₇×H(3,𝔽₄)	C₂	semidirect
5. #11744156	C₂	semidirect
6. D₇×#556	C₂	semidirect
7. #11744070	C₂	semidirect
8. D₇×#551	C₂	semidirect
9. #11743881	C₂	semidirect
10. D₇×#542	C₂	semidirect
11. #11743616	C₂	semidirect
12. D₇×#538	C₂	semidirect
13. #11743480	C₂	semidirect
14. D₇×#529	C₂	semidirect
15. #11743212	C₂	semidirect
16. C₇×#563	C₂²	semidirect
17. C₇×H(3,𝔽₄)	C₂²	semidirect
18. C₇×#556	C₂²	semidirect
19. C₇×#551	C₂²	semidirect
20. C₇×#542	C₂²	semidirect
21. C₇×#538	C₂²	semidirect
22. C₇×#529	C₂²	semidirect
23. #90426	C₂²	semidirect
24. #90424	C₂²	semidirect
25. #90423	C₂²	semidirect
26. D₇×C₄⋊Q₈	C₂²	semidirect
27. #90403	C₂²	semidirect
28. #90403	C₂²	semidirect
29. #90401	C₂²	semidirect
30. #90401	C₂²	semidirect
31. #90397	C₂²	semidirect
32. #90396	C₂²	semidirect
33. #90396	C₂²	semidirect
34. #90395	C₂²	semidirect
35. #90395	C₂²	semidirect
36. D₇×#126	C₂²	semidirect
37. D₇×#126	C₂²	semidirect
38. D₇×#126	C₂²	semidirect
39. D₇×#126	C₂²	semidirect
40. D₇×#126	C₂²	semidirect
41. #90393	C₂²	semidirect
42. #90393	C₂²	semidirect
43. #90393	C₂²	semidirect
44. #90393	C₂²	semidirect
45. #90390	C₂²	semidirect
46. #90390	C₂²	semidirect
47. #90382	C₂²	semidirect
48. D₇×#125	C₂²	semidirect
49. #90374	C₂²	semidirect
50. #90374	C₂²	semidirect
51. #90373	C₂²	semidirect
52. #90371	C₂²	semidirect
53. #90370	C₂²	semidirect
54. #90369	C₂²	semidirect
55. #90369	C₂²	semidirect
59. D₇×#124	C₂²	semidirect
60. #90363	C₂²	semidirect
61. #90362	C₂²	semidirect
62. #90362	C₂²	semidirect
63. #90360	C₂²	semidirect
64. #90360	C₂²	semidirect
65. #90353	C₂²	semidirect
66. #90353	C₂²	semidirect
67. #90350	C₂²	semidirect
68. #90349	C₂²	semidirect
69. #90349	C₂²	semidirect
70. #90348	C₂²	semidirect
71. #90348	C₂²	semidirect
74. D₇×#123	C₂²	semidirect
75. #90342	C₂²	semidirect
76. #90340	C₂²	semidirect
77. #90337	C₂²	semidirect
78. #90337	C₂²	semidirect
79. #90335	C₂²	semidirect
80. #90334	C₂²	semidirect
81. #90332	C₂²	semidirect
82. #90332	C₂²	semidirect
83. #90331	C₂²	semidirect
84. #90331	C₂²	semidirect
85. #90328	C₂²	semidirect
86. #90328	C₂²	semidirect
87. D₇×C₂²⋊Q₈	C₂²	semidirect
88. D₇×C₂²⋊Q₈	C₂²	semidirect
89. D₇×C₂²⋊Q₈	C₂²	semidirect
90. D₇×C₂²⋊Q₈	C₂²	semidirect
91. #90315	C₂²	semidirect
92. #90308	C₂²	semidirect
93. #90304	C₂²	semidirect
94. #90304	C₂²	semidirect
97. #90294	C₂²	semidirect
98. #90291	C₂²	semidirect
99. #90285	C₂²	semidirect
100. #90284	C₂²	semidirect
101. #90284	C₂²	semidirect
103. D₇×#120	C₂²	semidirect
104. #90278	C₂²	semidirect
105. #90275	C₂²	semidirect
106. #90273	C₂²	semidirect
107. #90271	C₂²	semidirect
108. C₄×Q₈×D₇	C₂²	semidirect
109. C₄×Q₈×D₇	C₂²	semidirect
110. #90259	C₂²	semidirect
111. #90259	C₂²	semidirect
112. #90252	C₂²	semidirect
113. #90251	C₂²	semidirect
114. #90251	C₂²	semidirect
115. #90248	C₂²	semidirect
116. #90247	C₂²	semidirect
117. #90247	C₂²	semidirect
120. C₄×D₄×D₇	C₂²	semidirect
121. #90233	C₂²	semidirect
122. #90229	C₂²	semidirect
123. #90225	C₂²	semidirect
124. #90224	C₂²	semidirect
125. #90224	C₂²	semidirect
126. #90219	C₂²	semidirect
127. #90218	C₂²	semidirect
128. #90218	C₂²	semidirect
129. D₇×#117	C₂²	semidirect
130. D₇×#117	C₂²	semidirect
131. #90186	C₂²	semidirect
132. #90186	C₂²	semidirect
133. #90185	C₂²	semidirect
134. C₂×D₇×C₂²⋊C₄	C₂²	semidirect
135. #90170	C₂²	semidirect
136. C₂×C₄²×D₇	C₂²	semidirect
147. C₇×C₄⋊Q₈	C₂³	semidirect
148. C₇×#126	C₂³	semidirect
149. C₇×#126	C₂³	semidirect
150. C₇×#126	C₂³	semidirect
151. C₇×#126	C₂³	semidirect
152. C₇×#126	C₂³	semidirect
153. C₇×#125	C₂³	semidirect
157. C₇×#124	C₂³	semidirect
160. C₇×#123	C₂³	semidirect
161. C₇×C₂²⋊Q₈	C₂³	semidirect
162. C₇×C₂²⋊Q₈	C₂³	semidirect
163. C₇×C₂²⋊Q₈	C₂³	semidirect
164. C₇×C₂²⋊Q₈	C₂³	semidirect
168. C₇×#120	C₂³	semidirect
169. C₄×C₇×Q₈	C₂³	semidirect
170. C₄×C₇×Q₈	C₂³	semidirect
173. C₄×C₇×D₄	C₂³	semidirect
174. C₇×#117	C₂³	semidirect
175. C₇×#117	C₂³	semidirect
176. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
177. C₂×C₄²×C₇	C₂³	semidirect
179. #6516	C₂³	semidirect
180. C₂×C₂²⋊Dic₇	C₂³	semidirect
184. #6510	C₂³	semidirect
185. #6509	C₂³	semidirect
186. #6509	C₂³	semidirect
187. #6509	C₂³	semidirect
188. #6509	C₂³	semidirect
189. Q₈×Dic₇	C₂³	semidirect
190. Q₈×Dic₇	C₂³	semidirect
191. #6507	C₂³	semidirect
192. #6507	C₂³	semidirect
201. #6500	C₂³	semidirect
205. #6499	C₂³	semidirect
208. #6498	C₂³	semidirect
211. D₄×Dic₇	C₂³	semidirect
216. #6492	C₂³	semidirect
220. C₄×C₂²⋊D₇	C₂³	semidirect
221. C₄×C₂²⋊D₇	C₂³	semidirect
222. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
223. C₂×(C₂×D₇)⋊C₄	C₂³	semidirect
224. #6489	C₂³	semidirect
225. #6489	C₂³	semidirect
226. #6487	C₂³	semidirect
227. #6487	C₂³	semidirect
228. #6487	C₂³	semidirect
229. #6487	C₂³	semidirect
230. C₂×C₄×Dic₇	C₂³	semidirect
231. #6461	C₂³	semidirect
232. #6461	C₂³	semidirect
233. #6461	C₂³	semidirect
234. #6461	C₂³	semidirect
235. #6461	C₂³	semidirect
236. #6461	C₂³	semidirect
237. #6461	C₂³	semidirect
238. #6461	C₂³	semidirect
239. #6461	C₂³	semidirect
240. #6461	C₂³	semidirect
241. #6461	C₂³	semidirect
242. #6461	C₂³	semidirect
243. #6461	C₂³	semidirect
244. #6460	C₂³	semidirect
245. #6460	C₂³	semidirect
246. #6460	C₂³	semidirect
247. #6460	C₂³	semidirect
248. #6459	C₂³	semidirect
249. #6459	C₂³	semidirect
250. #6459	C₂³	semidirect
251. #6459	C₂³	semidirect
252. #6459	C₂³	semidirect
253. #6459	C₂³	semidirect
254. #6459	C₂³	semidirect
261. #6457	C₂³	semidirect
262. #6457	C₂³	semidirect
265. #6456	C₂³	semidirect
266. #6455	C₂³	semidirect
267. #6455	C₂³	semidirect
268. #6455	C₂³	semidirect
269. #6455	C₂³	semidirect
278. #6453	C₂³	semidirect
279. #6453	C₂³	semidirect
280. #6452	C₂³	semidirect
281. #6452	C₂³	semidirect
282. #6451	C₂³	semidirect
283. #6451	C₂³	semidirect
284. #6451	C₂³	semidirect
285. #6451	C₂³	semidirect
286. #6450	C₂³	semidirect
287. #6450	C₂³	semidirect
288. #6450	C₂³	semidirect
289. #6450	C₂³	semidirect
290. #6450	C₂³	semidirect
293. #6449	C₂³	semidirect
304. #6448	C₂³	semidirect
305. #6448	C₂³	semidirect
306. #6448	C₂³	semidirect
307. #6448	C₂³	semidirect
315. #6446	C₂³	semidirect
316. #6446	C₂³	semidirect
320. #6445	C₂³	semidirect
324. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
325. (C₂²⋊D₇)⋊C₄	C₂³	semidirect
335. D₇×C₂²⋊C₄	C₂³	semidirect
336. D₇×C₂²⋊C₄	C₂³	semidirect
337. D₇×C₂²⋊C₄	C₂³	semidirect
338. D₇×C₂²⋊C₄	C₂³	semidirect
339. #6442	C₂³	semidirect
340. #6442	C₂³	semidirect
341. #6442	C₂³	semidirect
342. #6442	C₂³	semidirect
343. #6442	C₂³	semidirect
344. #6442	C₂³	semidirect
345. #6442	C₂³	semidirect
346. #6442	C₂³	semidirect
347. #6442	C₂³	semidirect
348. #6442	C₂³	semidirect
349. #6442	C₂³	semidirect
350. #6442	C₂³	semidirect
351. #6442	C₂³	semidirect
352. #6441	C₂³	semidirect
353. #6441	C₂³	semidirect
354. #6441	C₂³	semidirect
355. #6441	C₂³	semidirect
356. #6441	C₂³	semidirect
357. #6441	C₂³	semidirect
358. #6441	C₂³	semidirect
359. #6440	C₂³	semidirect
360. #6440	C₂³	semidirect
361. #6440	C₂³	semidirect
362. #6440	C₂³	semidirect
363. #6439	C₂³	semidirect
364. #6439	C₂³	semidirect
365. #6439	C₂³	semidirect
366. #6439	C₂³	semidirect
367. #6439	C₂³	semidirect
371. #6438	C₂³	semidirect
374. C₄×D₂₈	C₂³	semidirect
375. #6435	C₂³	semidirect
376. #6435	C₂³	semidirect
377. #6435	C₂³	semidirect
378. #6435	C₂³	semidirect
384. C₄²×D₇	C₂³	semidirect
385. C₄²×D₇	C₂³	semidirect
386. #6433	C₂³	semidirect
387. #6432	C₂³	semidirect
388. C₄×Dic₁₄	C₂³	semidirect
389. C₄×Dic₁₄	C₂³	semidirect
390. C₄×Dic₁₄	C₂³	semidirect
391. C₄×Dic₁₄	C₂³	semidirect
392. C₄×Dic₁₄	C₂³	semidirect
400. #3568	D₇	direct (N × H)
547. #563	C₂×D₇	semidirect
551. H(3,𝔽₄)	C₂×D₇	semidirect
567. #556	C₂×D₇	semidirect
583. #551	C₂×D₇	semidirect
599. #542	C₂×D₇	semidirect
615. #538	C₂×D₇	semidirect
628. #529	C₂×D₇	semidirect
734. C₄⋊Q₈	C₂²×D₇	semidirect
766. #126	C₂²×D₇	semidirect
767. #126	C₂²×D₇	semidirect
768. #126	C₂²×D₇	semidirect
769. #126	C₂²×D₇	semidirect
770. #126	C₂²×D₇	semidirect
776. #125	C₂²×D₇	semidirect
806. #124	C₂²×D₇	semidirect
830. #123	C₂²×D₇	semidirect
857. C₂²⋊Q₈	C₂²×D₇	semidirect
858. C₂²⋊Q₈	C₂²×D₇	semidirect
859. C₂²⋊Q₈	C₂²×D₇	semidirect
860. C₂²⋊Q₈	C₂²×D₇	semidirect
886. #120	C₂²×D₇	semidirect
899. C₄×Q₈	C₂²×D₇	semidirect
900. C₄×Q₈	C₂²×D₇	semidirect
922. C₄×D₄	C₂²×D₇	semidirect
937. #117	C₂²×D₇	semidirect
938. #117	C₂²×D₇	semidirect
963. C₂×C₂²⋊C₄	C₂²×D₇	semidirect
972. C₂×C₄²	C₂²×D₇	semidirect
1132. D₇	#3568	direct (N × H)
1192. C₇	C₂×#3568	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₇×#3568	2
D₇×#563	2
#11744194	2
D₇×H(3,𝔽₄)	2
#11744156	2
D₇×#556	2
#11744070	2
D₇×#551	2
#11743881	2
D₇×#542	2
#11743616	2
D₇×#538	2
#11743480	2
D₇×#529	2
#11743212	2
C₂×#3568	7

Subgroups — D7×#3568 #14261222

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₇×#3568 #14261222