Subgroups — #14217046

Order 1792.

1670 conjugacy classes of subgroups.

The subgroup lattice has 1346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₇×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740711	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740693	C₂	1	1	yes	maximal, characteristic, complemented
4	#11739942	C₂	1	1	yes	maximal, characteristic
5	#11739935	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739918	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739910	C₂	1	1	yes	maximal, characteristic, complemented
8	#11734003	C₂	1	1	yes	maximal, characteristic, complemented
9	#11733975	C₂	1	1	yes	maximal, characteristic, complemented
10	#11733961	C₂	1	1	yes	maximal, characteristic
11	#11733946	C₂	1	1	yes	maximal, characteristic, complemented
12	#11733690	C₂	1	1	yes	maximal, characteristic
13	#11733653	C₂	1	1	yes	maximal, characteristic
14	#11733542	C₂	1	1	yes	maximal, characteristic, complemented
15	#11733526	C₂	1	1	yes	maximal, characteristic, complemented
16	#11733499	C₂	1	1	yes	maximal, characteristic, complemented
17	#11733471	C₂	1	1	yes	maximal, characteristic, complemented
18	#11733436	C₂	1	1	yes	maximal, characteristic, complemented
19	#11733428	C₂	1	1	yes	maximal, characteristic, complemented
20	#11731817	C₂	1	1	yes	maximal, characteristic
21	#11731794	C₂	1	1	yes	maximal, characteristic, complemented
22	#11731254	C₂	1	1	yes	maximal, characteristic, complemented
23	#11731250	C₂	1	1	yes	maximal, characteristic
24	#11731242	C₂	1	1	yes	maximal, characteristic, complemented
25	#11731183	C₂	1	1	yes	maximal, characteristic, complemented
26	#11731179	C₂	1	1	yes	maximal, characteristic, complemented
27	#11731146	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731112	C₂	1	1	yes	maximal, characteristic
29	#11731110	C₂	1	1	yes	maximal, characteristic, complemented
30	#11730746	C₂	1	1	yes	maximal, characteristic, complemented
31	#11730746	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic
35	C₂×#6509	C₂²	1	1	yes	characteristic
36	C₂×#6507	C₂²	1	1	yes	characteristic
37	C₂×#6461	C₂²	1	1	yes	characteristic
38	C₂×#6461	C₂²	1	1	yes	characteristic
39	C₂×#6461	C₂²	1	1	yes	characteristic
40	C₂×#6459	C₂²	1	1	yes	characteristic
41	C₂×#6457	C₂²	1	1	yes	characteristic
42	C₂×#6457	C₂²	1	1	yes	characteristic
43	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×#6450	C₂²	1	1	yes	characteristic
45	C₂×#6435	C₂²	1	1	yes	characteristic
46	C₂×#6435	C₂²	1	1	yes	characteristic
47	C₇×#391	C₂²	1	1	yes	characteristic
48	C₇×#391	C₂²	1	1	yes	characteristic
49	C₇×#389	C₂²	1	1	yes	characteristic
50	C₇×#389	C₂²	1	1	yes	characteristic
51	C₇×#389	C₂²	1	1	yes	characteristic
52	C₇×#389	C₂²	1	1	yes	characteristic
53	C₇×#384	C₂²	1	1	yes	characteristic
54	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₄×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₄³×C₇	C₂²	1	1	yes	characteristic
59	#90003	C₂²	1	1	yes	characteristic
60	#90003	C₂²	1	1	yes	characteristic
61	#90003	C₂²	1	1	yes	characteristic
62	#90002	C₂²	1	1	yes	characteristic
63	#90002	C₂²	1	1	yes	characteristic
64	#90001	C₂²	1	1	yes	characteristic
65	#89766	C₂²	1	1	yes	characteristic
66	#89766	C₂²	1	1	yes	characteristic
67	#89765	C₂²	1	1	yes	characteristic
68	#89764	C₂²	1	1	yes	characteristic
69	#89764	C₂²	1	1	yes	characteristic
70	#89763	C₂²	1	1	yes	characteristic
71	#89763	C₂²	1	1	yes	characteristic
72	#89762	C₂²	1	1	yes	characteristic
73	#89762	C₂²	1	1	yes	characteristic
74	#89762	C₂²	1	1	yes	characteristic
75	#89762	C₂²	1	1	yes	characteristic
76	#89762	C₂²	1	1	yes	characteristic
77	#89761	C₂²	1	1	yes	characteristic
78	#89761	C₂²	1	1	yes	characteristic
79	#89761	C₂²	1	1	yes	characteristic
80	#89761	C₂²	1	1	yes	characteristic
81	#89761	C₂²	1	1	yes	characteristic
82	#89758	C₂²	1	1	yes	characteristic
83	#89756	C₂²	1	1	yes	characteristic
84	#89756	C₂²	1	1	yes	characteristic
85	#89756	C₂²	1	1	yes	characteristic
86	#89756	C₂²	1	1	yes	characteristic
87	#89755	C₂²	1	1	yes	characteristic
88	#89755	C₂²	1	1	yes	characteristic
89	#89754	C₂²	1	1	yes	characteristic
90	#89754	C₂²	1	1	yes	characteristic
91	#89753	C₂²	1	1	yes	characteristic
92	#89753	C₂²	1	1	yes	characteristic
93	#89753	C₂²	1	1	yes	characteristic
94	#89753	C₂²	1	1	yes	characteristic
95	#89753	C₂²	1	1	yes	characteristic
96	#89753	C₂²	1	1	yes	characteristic
97	#89752	C₂²	1	1	yes	characteristic
98	#89752	C₂²	1	1	yes	characteristic
99	#89752	C₂²	1	1	yes	characteristic
100	#89751	C₂²	1	1	yes	characteristic
101	#89750	C₂²	1	1	yes	characteristic
102	#89750	C₂²	1	1	yes	characteristic
103	#89750	C₂²	1	1	yes	characteristic
104	#89750	C₂²	1	1	yes	characteristic
105	#89750	C₂²	1	1	yes	characteristic
106	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
107	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
108	#89744	C₂²	1	1	yes	characteristic
109	#89744	C₂²	1	1	yes	characteristic
110	#89744	C₂²	1	1	yes	characteristic
111	#89744	C₂²	1	1	yes	characteristic
112	#89744	C₂²	1	1	yes	characteristic
113	#89712	C₂²	1	1	yes	characteristic
114	#89712	C₂²	1	1	yes	characteristic
115	#89712	C₂²	1	1	yes	characteristic
116	#89712	C₂²	1	1	yes	characteristic
117	#89712	C₂²	1	1	yes	characteristic
118	#89712	C₂²	1	1	yes	characteristic
119	#89712	C₂²	1	1	yes	characteristic
120	#89712	C₂²	1	1	yes	characteristic
121	#89712	C₂²	1	1	yes	characteristic
122	#89712	C₂²	1	1	yes	characteristic
123	#89712	C₂²	1	1	yes	characteristic
124	#89712	C₂²	1	1	yes	characteristic
125	#89711	C₂²	1	1	yes	characteristic
126	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
127	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
128	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
129	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
130	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
131	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
132	#89705	C₂²	1	1	yes	characteristic
133	#89705	C₂²	1	1	yes	characteristic
134	#89705	C₂²	1	1	yes	characteristic
135	#89705	C₂²	1	1	yes	characteristic
136	#89705	C₂²	1	1	yes	characteristic
137	#89705	C₂²	1	1	yes	characteristic
138	#89705	C₂²	1	1	yes	characteristic
139	#89705	C₂²	1	1	yes	characteristic
140	#89705	C₂²	1	1	yes	characteristic
141	#89705	C₂²	1	1	yes	characteristic
142	#89705	C₂²	1	1	yes	characteristic
143	#89705	C₂²	1	1	yes	characteristic
144	#89704	C₂²	1	1	yes	characteristic
145	#89704	C₂²	1	1	yes	characteristic
146	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
147	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
148	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
152	#89701	C₂²	1	1	yes	characteristic
153	#89700	C₂²	1	1	yes	characteristic
154	#89700	C₂²	1	1	yes	characteristic
155	#89448	C₂²	1	1	yes	characteristic
156	#89447	C₂²	1	1	yes	characteristic
157	#89446	C₂²	1	1	yes	characteristic
158	#89445	C₂²	1	1	yes	characteristic
159	#89442	C₂²	1	1	yes	characteristic
160	#89441	C₂²	1	1	yes	characteristic
161	#89440	C₂²	1	1	yes	characteristic
162	#89439	C₂²	1	1	yes	characteristic
163	#89438	C₂²	1	1	yes	characteristic
164	#89438	C₂²	1	1	yes	characteristic
165	#89438	C₂²	1	1	yes	characteristic
166	#89437	C₂²	1	1	yes	characteristic
167	#89437	C₂²	1	1	yes	characteristic
168	#89436	C₂²	1	1	yes	characteristic
169	C₇⋊#401	C₂²	1	1	yes	characteristic
170	#89432	C₂²	1	1	yes	characteristic
171	#89430	C₂²	1	1	yes	characteristic
172	#89429	C₂²	1	1	yes	characteristic
173	#89427	C₂²	1	1	yes	characteristic
174	#89427	C₂²	1	1	yes	characteristic
175	#89426	C₂²	1	1	yes	characteristic
176	#89425	C₂²	1	1	yes	characteristic
177	#89425	C₂²	1	1	yes	characteristic
178	#89424	C₂²	1	1	yes	characteristic
179	#89424	C₂²	1	1	yes	characteristic
180	#89424	C₂²	1	1	yes	characteristic
181	#89422	C₂²	1	1	yes	characteristic
182	#89422	C₂²	1	1	yes	characteristic
183	#89420	C₂²	1	1	yes	characteristic
184	#89419	C₂²	1	1	yes	characteristic
185	#89419	C₂²	1	1	yes	characteristic
186	#89418	C₂²	1	1	yes	characteristic
187	#60041	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×D₂₈	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
196	C₇×C₄⋊Q₈	—	2	4	no	—
197	C₄×C₇×Q₈	—	4	2	no	—
198	C₄×C₇×Q₈	—	4	2	no	—
199	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
224	#6509	—	2	4	no	—
225	#6507	—	2	4	no	—
226	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
292	#6461	—	2	4	no	—
293	#6461	—	2	4	no	—
294	#6461	—	4	2	no	—
295	#6459	—	2	4	no	—
296	#6457	—	2	4	no	—
297	#6457	—	4	2	no	—
298	D₇×C₄⋊C₄	—	4	2	no	—
299	#6450	—	4	2	no	—
300	#6435	—	2	4	no	—
301	#6435	—	2	4	no	—
302	C₇×#95	C₂³	1	1	yes	characteristic
303	C₇×#95	C₂³	1	1	yes	characteristic
304	C₇×#95	C₂³	1	1	yes	characteristic
305	C₇×#95	C₂³	1	1	yes	characteristic
306	C₇×#95	C₂³	1	1	yes	characteristic
307	C₇×#95	C₂³	1	1	yes	characteristic
308	C₇×#95	C₂³	1	1	yes	characteristic
309	C₇×#95	C₂³	1	1	yes	characteristic
310	C₇⋊#95	C₂³	1	1	yes	characteristic
311	C₇⋊#95	C₂³	1	1	yes	characteristic
312	C₇⋊#95	C₂³	1	1	yes	characteristic
313	C₇⋊#95	C₂³	1	1	yes	characteristic
314	C₇⋊#95	C₂³	1	1	yes	characteristic
315	C₇⋊#95	C₂³	1	1	yes	characteristic
316	C₇⋊#95	C₂³	1	1	yes	characteristic
317	C₇⋊#95	C₂³	1	1	yes	characteristic
318	C₇⋊#95	C₂³	1	1	yes	characteristic
319	C₇⋊#95	C₂³	1	1	yes	characteristic
320	C₇⋊#95	C₂³	1	1	yes	characteristic
321	C₇⋊#95	C₂³	1	1	yes	characteristic
322	C₇⋊#95	C₂³	1	1	yes	characteristic
323	C₇⋊#95	C₂³	1	1	yes	characteristic
324	C₇⋊#95	C₂³	1	1	yes	characteristic
325	C₇⋊#95	C₂³	1	1	yes	characteristic
326	C₇⋊#95	C₂³	1	1	yes	characteristic
327	C₇⋊#95	C₂³	1	1	yes	characteristic
328	C₇⋊#95	C₂³	1	1	yes	characteristic
329	C₇⋊#95	C₂³	1	1	yes	characteristic
330	C₇⋊#95	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	C₇⋊#95	C₂³	1	1	yes	characteristic
353	C₇⋊#95	C₂³	1	1	yes	characteristic
354	C₇⋊#95	C₂³	1	1	yes	characteristic
355	C₇⋊#95	C₂³	1	1	yes	characteristic
356	C₇⋊#95	C₂³	1	1	yes	characteristic
357	C₇⋊#95	C₂³	1	1	yes	characteristic
358	#2791	—	7	1	no	—
359	#2718	—	7	1	no	—
360	#2716	—	7	1	no	—
361	#2677	—	7	1	no	—
362	#2612	—	7	1	no	—
363	#2604	—	7	1	no	—
364	#2594	—	7	1	no	—
365	#2590	—	7	1	no	—
366	#2585	—	7	1	no	—
367	#2575	—	7	1	no	—
368	#2560	—	7	1	no	—
369	#2553	—	7	1	no	—
370	#2528	—	7	1	no	—
371	#2527	—	7	1	no	—
372	#2522	—	7	1	no	—
373	#2520	—	7	1	no	—
374	#2478	—	7	1	no	—
375	#2477	—	7	1	no	—
376	#2469	—	7	1	no	—
377	#2458	—	7	1	no	—
378	#2439	—	7	1	no	—
379	#2413	—	7	1	no	—
380	#2374	—	7	1	no	—
381	#2373	—	7	1	no	—
382	#2373	—	7	1	no	—
383	#2365	—	7	1	no	—
384	#2360	—	7	1	no	—
385	#2360	—	7	1	no	—
386	C₄×C₄⋊Q₈	D₇	1	1	yes	characteristic, complemented
387	#2298	—	7	1	no	—
388	#2298	—	7	1	no	—
389	C₂³×D₇	C₂⁴	1	1	yes	characteristic
390	C₂³×D₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₇×Q₈	—	2	2	no	—
392	C₂×C₇×Q₈	—	2	2	no	—
393	C₂×C₇×Q₈	—	2	2	no	—
394	C₂×C₇×Q₈	—	2	2	no	—
395	C₂×C₇×Q₈	—	4	1	no	—
396	C₂×C₇×Q₈	—	4	1	no	—
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂×D₂₈	—	2	2	no	—
427	C₂×D₂₈	—	4	1	no	—
428	C₂×D₂₈	—	4	1	no	—
429	C₂×C₄×D₇	—	2	2	no	—
430	C₂×C₄×D₇	—	2	2	no	—
431	C₂×C₄×D₇	—	2	2	no	—
432	C₂×C₄×D₇	—	2	2	no	—
433	C₂×C₄×D₇	—	2	2	no	—
434	C₂×C₄×D₇	—	2	2	no	—
435	C₂×C₄×D₇	—	2	2	no	—
436	C₂×C₄×D₇	—	4	1	no	—
437	C₂×C₄×D₇	—	4	1	no	—
438	C₂×C₄×D₇	—	4	1	no	—
439	C₂×C₄×D₇	—	4	1	no	—
440	C₂×C₄×D₇	—	4	1	no	—
441	C₂×Dic₁₄	—	2	2	no	—
442	C₂×Dic₁₄	—	2	2	no	—
443	C₂×Dic₁₄	—	4	1	no	—
444	C₇×C₄⋊C₄	—	2	2	no	—
445	C₇×C₄⋊C₄	—	2	2	no	—
446	C₇×C₄⋊C₄	—	2	2	no	—
447	C₇×C₄⋊C₄	—	2	2	no	—
448	C₇×C₄⋊C₄	—	2	2	no	—
449	C₇×C₄⋊C₄	—	2	2	no	—
450	C₇×C₄⋊C₄	—	2	2	no	—
451	C₇×C₄⋊C₄	—	2	2	no	—
452	C₇×C₄⋊C₄	—	2	2	no	—
453	C₇×C₄⋊C₄	—	4	1	no	—
454	C₇×C₄⋊C₄	—	4	1	no	—
455	C₇×C₄⋊C₄	—	4	1	no	—
456	C₇×C₄⋊C₄	—	4	1	no	—
457	C₇×C₄⋊C₄	#41	1	4	yes	—
458	C₄²×C₇	—	2	2	no	—
459	C₄²×C₇	—	2	2	no	—
460	C₄²×C₇	—	2	2	no	—
461	C₄²×C₇	—	2	2	no	—
462	C₄²×C₇	—	2	2	no	—
463	C₄²×C₇	—	2	2	no	—
464	C₄²×C₇	—	4	1	no	—
465	C₄²×C₇	—	4	1	no	—
466	C₄²×C₇	—	4	1	no	—
467	C₄²×C₇	—	4	1	no	—
468	C₄²×C₇	—	4	1	no	—
469	(C₂×D₇)⋊C₄	—	2	2	no	—
470	(C₂×D₇)⋊C₄	—	2	2	no	—
471	(C₂×D₇)⋊C₄	—	2	2	no	—
472	(C₂×D₇)⋊C₄	—	2	2	no	—
473	(C₂×D₇)⋊C₄	—	2	2	no	—
474	(C₂×D₇)⋊C₄	—	2	2	no	—
475	(C₂×D₇)⋊C₄	—	2	2	no	—
476	(C₂×D₇)⋊C₄	—	2	2	no	—
477	(C₂×D₇)⋊C₄	—	2	2	no	—
478	(C₂×D₇)⋊C₄	—	2	2	no	—
479	(C₂×D₇)⋊C₄	—	2	2	no	—
480	(C₂×D₇)⋊C₄	—	2	2	no	—
481	(C₂×D₇)⋊C₄	—	2	2	no	—
482	(C₂×D₇)⋊C₄	—	2	2	no	—
483	(C₂×D₇)⋊C₄	—	2	2	no	—
484	(C₂×D₇)⋊C₄	—	2	2	no	—
485	(C₂×D₇)⋊C₄	—	2	2	no	—
486	(C₂×D₇)⋊C₄	—	2	2	no	—
487	(C₂×D₇)⋊C₄	—	4	1	no	—
488	(C₂×D₇)⋊C₄	—	4	1	no	—
489	(C₂×D₇)⋊C₄	—	4	1	no	—
490	(C₂×D₇)⋊C₄	—	4	1	no	—
491	(C₂×D₇)⋊C₄	—	4	1	no	—
492	(C₂×D₇)⋊C₄	#41	1	4	yes	—
493	C₄⋊Dic₇	—	2	2	no	—
494	C₄⋊Dic₇	—	2	2	no	—
495	C₄⋊Dic₇	—	2	2	no	—
496	C₄⋊Dic₇	—	4	1	no	—
497	C₄⋊Dic₇	—	4	1	no	—
498	C₄⋊Dic₇	—	4	1	no	—
499	Dic₇⋊C₄	—	2	2	no	—
500	Dic₇⋊C₄	—	2	2	no	—
501	Dic₇⋊C₄	—	2	2	no	—
502	Dic₇⋊C₄	—	2	2	no	—
503	Dic₇⋊C₄	—	2	2	no	—
504	Dic₇⋊C₄	—	2	2	no	—
505	Dic₇⋊C₄	—	2	2	no	—
506	Dic₇⋊C₄	—	2	2	no	—
507	Dic₇⋊C₄	—	2	2	no	—
508	Dic₇⋊C₄	—	2	2	no	—
509	Dic₇⋊C₄	—	2	2	no	—
510	Dic₇⋊C₄	—	2	2	no	—
511	Dic₇⋊C₄	—	2	2	no	—
512	Dic₇⋊C₄	—	2	2	no	—
513	Dic₇⋊C₄	—	2	2	no	—
514	Dic₇⋊C₄	—	2	2	no	—
515	Dic₇⋊C₄	—	4	1	no	—
516	Dic₇⋊C₄	—	4	1	no	—
517	Dic₇⋊C₄	—	4	1	no	—
518	Dic₇⋊C₄	—	4	1	no	—
519	Dic₇⋊C₄	—	4	1	no	—
520	Dic₇⋊C₄	—	4	1	no	—
521	Dic₇⋊C₄	—	4	1	no	—
522	Dic₇⋊C₄	#41	1	4	yes	—
523	C₄×Dic₇	—	2	2	no	—
524	C₄×Dic₇	—	2	2	no	—
525	C₄×Dic₇	—	2	2	no	—
526	C₄×Dic₇	—	2	2	no	—
527	C₄×Dic₇	—	2	2	no	—
528	C₄×Dic₇	—	2	2	no	—
529	C₄×Dic₇	—	2	2	no	—
530	C₄×Dic₇	—	4	1	no	—
531	C₄×Dic₇	—	4	1	no	—
532	C₄×Dic₇	—	4	1	no	—
533	C₄×Dic₇	—	4	1	no	—
534	C₄×Dic₇	—	4	1	no	—
535	C₂×C₄⋊Q₈	—	7	1	no	—
536	C₂×C₄⋊Q₈	C₂×D₇	1	1	yes	characteristic
537	C₂×#126	—	7	1	no	—
538	C₂×#126	—	7	1	no	—
539	C₂×#126	—	7	1	no	—
540	C₂×#123	—	7	1	no	—
541	C₂×#123	—	7	1	no	—
542	C₂×C₂²⋊Q₈	—	7	1	no	—
543	C₂×C₂²⋊Q₈	—	7	1	no	—
544	C₂×C₄×Q₈	—	7	1	no	—
545	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic
546	C₂×C₄×Q₈	C₂×D₇	1	1	yes	characteristic
547	C₂×#117	—	7	1	no	—
548	C₂×#117	—	7	1	no	—
549	C₂²×C₄⋊C₄	—	7	1	no	—
550	#401	—	7	1	no	—
551	#400	—	7	1	no	—
552	#400	—	7	1	no	—
553	#400	—	7	1	no	—
554	#400	—	7	1	no	—
555	#400	—	7	1	no	—
556	#399	—	7	1	no	—
557	#399	—	7	1	no	—
558	#398	—	7	1	no	—
559	#398	—	7	1	no	—
560	#398	—	7	1	no	—
561	#398	—	7	1	no	—
562	#398	—	7	1	no	—
563	#398	—	7	1	no	—
564	#398	—	7	1	no	—
565	#398	—	7	1	no	—
566	#398	—	7	1	no	—
567	#398	—	7	1	no	—
568	#397	—	7	1	no	—
569	#397	—	7	1	no	—
570	#397	—	7	1	no	—
571	#396	—	7	1	no	—
572	#396	—	7	1	no	—
573	#396	—	7	1	no	—
574	#395	—	7	1	no	—
575	#395	—	7	1	no	—
576	#394	—	7	1	no	—
577	#394	—	7	1	no	—
578	#393	—	7	1	no	—
579	#393	—	7	1	no	—
580	#393	—	7	1	no	—
581	#393	—	7	1	no	—
582	#391	—	7	1	no	—
583	#391	—	7	1	no	—
584	#391	—	7	1	no	—
585	#391	—	7	1	no	—
586	#391	C₂×D₇	1	1	yes	characteristic
587	#391	C₂×D₇	1	1	yes	characteristic
588	#390	—	7	1	no	—
589	#389	—	7	1	no	—
590	#389	—	7	1	no	—
591	#389	—	7	1	no	—
592	#389	—	7	1	no	—
593	#389	—	7	1	no	—
594	#389	—	7	1	no	—
595	#389	—	7	1	no	—
596	#389	—	7	1	no	—
597	#389	—	7	1	no	—
598	#389	C₂×D₇	1	1	yes	characteristic
599	#389	C₂×D₇	1	1	yes	characteristic
600	#389	C₂×D₇	1	1	yes	characteristic
601	#389	C₂×D₇	1	1	yes	characteristic
602	#388	—	7	1	no	—
603	#388	—	7	1	no	—
604	#388	—	7	1	no	—
605	#388	—	7	1	no	—
606	#388	—	7	1	no	—
607	#388	—	7	1	no	—
608	#388	—	7	1	no	—
609	#388	—	7	1	no	—
610	#388	—	7	1	no	—
611	#388	—	7	1	no	—
612	#388	—	7	1	no	—
613	#388	—	7	1	no	—
614	#388	—	7	1	no	—
615	#388	—	7	1	no	—
616	#388	—	7	1	no	—
617	#388	—	7	1	no	—
618	#388	—	7	1	no	—
619	#388	—	7	1	no	—
620	#388	—	7	1	no	—
621	#387	—	7	1	no	—
622	#387	—	7	1	no	—
623	#387	—	7	1	no	—
624	#387	—	7	1	no	—
625	#387	—	7	1	no	—
626	#387	—	7	1	no	—
627	#387	—	7	1	no	—
628	#387	—	7	1	no	—
629	#387	—	7	1	no	—
630	#387	—	7	1	no	—
631	#387	—	7	1	no	—
632	#387	—	7	1	no	—
633	#387	—	7	1	no	—
634	#387	—	7	1	no	—
635	#387	—	7	1	no	—
636	#387	—	7	1	no	—
637	#387	—	7	1	no	—
638	#387	—	7	1	no	—
639	#387	—	7	1	no	—
640	#387	—	7	1	no	—
641	#387	—	7	1	no	—
642	#387	—	7	1	no	—
643	#387	—	7	1	no	—
644	#387	—	7	1	no	—
645	#387	—	7	1	no	—
646	#387	—	7	1	no	—
647	#387	—	7	1	no	—
648	#387	—	7	1	no	—
649	#387	—	7	1	no	—
650	#387	—	7	1	no	—
651	#387	—	7	1	no	—
652	#386	—	7	1	no	—
653	#386	—	7	1	no	—
654	#385	—	7	1	no	—
655	#385	—	7	1	no	—
656	#385	—	7	1	no	—
657	#385	—	7	1	no	—
658	#385	—	7	1	no	—
659	#385	—	7	1	no	—
660	#384	C₂×D₇	1	1	yes	characteristic
661	#382	—	7	1	no	—
662	#382	—	7	1	no	—
663	#381	—	7	1	no	—
664	#380	—	7	1	no	—
665	C₄×C₄⋊C₄	—	7	1	no	—
666	C₄×C₄⋊C₄	—	7	1	no	—
667	C₄×C₄⋊C₄	—	7	1	no	—
668	C₄×C₄⋊C₄	—	7	1	no	—
669	C₄×C₄⋊C₄	—	7	1	no	—
670	C₄×C₄⋊C₄	—	7	1	no	—
671	C₄×C₄⋊C₄	—	7	1	no	—
672	C₄×C₄⋊C₄	—	7	1	no	—
673	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
674	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
675	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
676	C₄×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic
677	C₄×C₂²⋊C₄	—	7	1	no	—
678	C₄×C₂²⋊C₄	—	7	1	no	—
679	C₄×C₂²⋊C₄	—	7	1	no	—
680	C₄×C₂²⋊C₄	—	7	1	no	—
681	C₄×C₂²⋊C₄	—	7	1	no	—
682	C₄×C₂²⋊C₄	—	7	1	no	—
683	C₄×C₂²⋊C₄	—	7	1	no	—
684	C₄×C₂²⋊C₄	—	7	1	no	—
685	C₄×C₂²⋊C₄	—	7	1	no	—
686	#376	—	7	1	no	—
687	#376	—	7	1	no	—
688	#376	—	7	1	no	—
689	C₄³	C₂×D₇	1	1	yes	characteristic
690	C₂³×C₇	C₂⁵	1	1	yes	characteristic
691	C₂²×D₇	—	2	1	no	—
692	C₂²×D₇	—	2	1	no	—
693	C₂²×D₇	—	2	1	no	—
694	C₂²×D₇	—	2	1	no	—
695	C₂²×D₇	—	2	1	no	—
696	C₂²×D₇	—	2	1	no	—
697	C₂²×D₇	—	2	1	no	—
698	C₂²×D₇	—	2	1	no	—
699	C₂²×D₇	—	2	1	no	—
700	C₂²×D₇	—	2	1	no	—
701	C₂²×D₇	—	2	1	no	—
702	C₂²×D₇	—	2	1	no	—
703	C₂²×D₇	—	2	1	no	—
704	C₂²×D₇	C₂×#41	1	2	yes	—
705	C₇×Q₈	—	4	4	no	—
706	C₇×Q₈	—	4	4	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	no	—
716	C₂×C₄×C₇	—	2	1	no	—
717	C₂×C₄×C₇	—	2	1	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	2	1	no	—
721	C₂×C₄×C₇	—	2	1	no	—
722	C₂×C₄×C₇	—	2	1	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	2	1	no	—
725	C₂×C₄×C₇	—	2	1	no	—
726	C₂×C₄×C₇	—	2	1	no	—
727	C₂×C₄×C₇	—	2	1	no	—
728	C₂×C₄×C₇	—	2	1	no	—
729	C₂×C₄×C₇	—	2	1	no	—
730	C₂×C₄×C₇	—	2	1	no	—
731	C₂×C₄×C₇	—	2	1	no	—
732	C₂×C₄×C₇	—	2	1	no	—
733	C₂×C₄×C₇	—	2	1	no	—
734	C₂×C₄×C₇	—	2	1	no	—
735	C₂×C₄×C₇	—	2	1	no	—
736	C₂×C₄×C₇	—	2	1	no	—
737	C₂×C₄×C₇	—	2	1	no	—
738	C₂×C₄×C₇	—	2	1	no	—
739	C₂×C₄×C₇	—	2	1	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	C₂×#41	1	2	yes	—
745	C₂×C₄×C₇	C₂×#41	1	2	yes	—
746	C₂×C₄×C₇	C₂×#41	1	2	yes	—
747	C₂×C₄×C₇	C₂×#41	1	2	yes	—
748	C₂×C₄×C₇	C₂×#41	1	2	yes	—
749	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
750	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
751	C₂×C₄×C₇	2₋¹⁺⁴	1	2	yes	—
752	C₂×Dic₇	—	2	1	no	—
753	C₂×Dic₇	—	2	1	no	—
754	C₂×Dic₇	—	2	1	no	—
755	C₂×Dic₇	—	2	1	no	—
756	C₂×Dic₇	—	2	1	no	—
757	C₂×Dic₇	—	2	1	no	—
758	C₂×Dic₇	—	2	1	no	—
759	C₂×Dic₇	—	2	1	no	—
760	C₂×Dic₇	—	2	1	no	—
761	C₂×Dic₇	—	2	1	no	—
762	C₂×Dic₇	—	2	1	no	—
763	C₂×Dic₇	—	2	1	no	—
764	C₂×Dic₇	—	2	1	no	—
765	C₂×Dic₇	—	2	1	no	—
766	C₂×Dic₇	—	2	1	no	—
767	C₂×Dic₇	—	2	1	no	—
768	C₂×Dic₇	—	2	1	no	—
769	C₂×Dic₇	—	2	1	no	—
770	C₂×Dic₇	—	2	1	no	—
771	C₂×Dic₇	—	2	1	no	—
772	C₂×Dic₇	—	2	1	no	—
773	C₂×Dic₇	—	2	1	no	—
774	C₂×Dic₇	—	2	1	no	—
775	C₂×Dic₇	—	2	1	no	—
776	C₂×Dic₇	—	2	1	no	—
777	C₂×Dic₇	—	2	1	no	—
778	C₂×Dic₇	—	2	1	no	—
779	C₂×Dic₇	—	2	1	no	—
780	C₂×Dic₇	—	2	1	no	—
781	C₂×Dic₇	—	2	1	no	—
782	C₂×Dic₇	—	2	1	no	—
783	C₂×Dic₇	—	2	1	no	—
784	C₂×Dic₇	—	2	1	no	—
785	C₂×Dic₇	—	2	1	no	—
786	C₂×Dic₇	—	2	1	no	—
787	C₂×Dic₇	—	2	1	no	—
788	C₂×Dic₇	—	2	1	no	—
789	C₂×Dic₇	—	2	1	no	—
790	C₂×Dic₇	—	2	1	no	—
791	C₂×Dic₇	C₂×#41	1	2	yes	—
792	C₂×Dic₇	C₂×#41	1	2	yes	—
793	C₂×Dic₇	C₂×#41	1	2	yes	—
794	D₂₈	—	8	2	no	—
795	C₄×D₇	—	4	4	no	—
796	C₄×D₇	—	4	4	no	—
797	C₄×D₇	—	4	4	no	—
798	C₄×D₇	—	8	2	no	—
799	Dic₁₄	—	4	4	no	—
800	C₂²×Q₈	—	7	1	no	—
801	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
802	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
803	C₂²×D₄	—	7	1	no	—
804	C₂³×C₄	—	7	1	no	—
805	C₂³×C₄	—	7	1	no	—
806	C₂³×C₄	—	7	1	no	—
807	C₂³×C₄	—	7	1	no	—
808	C₄⋊Q₈	—	2	4	no	—
809	C₄⋊Q₈	—	14	4	no	—
810	#126	—	14	4	no	—
811	#126	—	14	4	no	—
812	#126	—	28	2	no	—
813	#123	—	14	4	no	—
814	#123	—	28	2	no	—
815	C₂²⋊Q₈	—	14	4	no	—
816	C₂²⋊Q₈	—	14	4	no	—
817	C₄×Q₈	—	4	2	no	—
818	C₄×Q₈	—	4	2	no	—
819	C₄×Q₈	—	28	2	no	—
820	#117	—	14	4	no	—
821	#117	—	14	4	no	—
822	C₂×C₄⋊C₄	—	7	1	no	—
823	C₂×C₄⋊C₄	—	7	1	no	—
824	C₂×C₄⋊C₄	—	7	1	no	—
825	C₂×C₄⋊C₄	—	7	1	no	—
826	C₂×C₄⋊C₄	—	7	1	no	—
827	C₂×C₄⋊C₄	—	7	1	no	—
828	C₂×C₄⋊C₄	—	7	1	no	—
829	C₂×C₄⋊C₄	—	7	1	no	—
830	C₂×C₄⋊C₄	—	7	1	no	—
831	C₂×C₄⋊C₄	—	7	1	no	—
832	C₂×C₄⋊C₄	—	7	1	no	—
833	C₂×C₄⋊C₄	—	7	1	no	—
834	C₂×C₄⋊C₄	—	7	1	no	—
835	C₂×C₄⋊C₄	—	7	1	no	—
836	C₂×C₄⋊C₄	—	7	1	no	—
837	C₂×C₄⋊C₄	—	7	1	no	—
838	C₂×C₄⋊C₄	—	7	1	no	—
839	C₂×C₄⋊C₄	—	7	1	no	—
840	C₂×C₄⋊C₄	—	7	1	no	—
841	C₂×C₄⋊C₄	—	7	1	no	—
842	C₂×C₄⋊C₄	—	7	1	no	—
843	C₂×C₄⋊C₄	—	7	1	no	—
844	C₂×C₄⋊C₄	—	7	1	no	—
845	C₂×C₄⋊C₄	—	7	1	no	—
846	C₂×C₄⋊C₄	—	7	1	no	—
847	C₂×C₄⋊C₄	—	7	1	no	—
848	C₂×C₄⋊C₄	—	7	1	no	—
849	C₂×C₄⋊C₄	—	7	1	no	—
850	C₂×C₄⋊C₄	—	7	1	no	—
851	C₂×C₄⋊C₄	—	7	1	no	—
852	C₂×C₄⋊C₄	—	28	2	no	—
853	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
867	C₂×C₂²⋊C₄	—	7	1	no	—
868	C₂×C₂²⋊C₄	—	7	1	no	—
869	C₂×C₂²⋊C₄	—	7	1	no	—
870	C₂×C₂²⋊C₄	—	7	1	no	—
871	C₂×C₂²⋊C₄	—	7	1	no	—
872	C₂×C₂²⋊C₄	—	7	1	no	—
873	C₂×C₂²⋊C₄	—	7	1	no	—
874	C₂×C₂²⋊C₄	—	7	1	no	—
875	C₂×C₂²⋊C₄	—	7	1	no	—
876	C₂×C₂²⋊C₄	—	7	1	no	—
877	C₂×C₂²⋊C₄	—	7	1	no	—
878	C₂×C₂²⋊C₄	—	7	1	no	—
879	C₂×C₂²⋊C₄	—	7	1	no	—
880	C₂×C₂²⋊C₄	—	7	1	no	—
881	C₂×C₂²⋊C₄	—	7	1	no	—
882	C₂×C₂²⋊C₄	—	7	1	no	—
883	C₂×C₂²⋊C₄	—	7	1	no	—
884	C₂×C₂²⋊C₄	—	7	1	no	—
885	C₂×C₂²⋊C₄	—	7	1	no	—
886	C₂×C₂²⋊C₄	—	7	1	no	—
887	C₂×C₂²⋊C₄	—	7	1	no	—
888	C₂×C₂²⋊C₄	—	7	1	no	—
889	C₂×C₂²⋊C₄	—	7	1	no	—
890	C₂×C₂²⋊C₄	—	7	1	no	—
891	C₂×C₄²	—	7	1	no	—
892	C₂×C₄²	—	7	1	no	—
893	C₂×C₄²	—	7	1	no	—
894	C₂×C₄²	—	7	1	no	—
895	C₂×C₄²	—	7	1	no	—
896	C₂×C₄²	—	7	1	no	—
897	C₂×C₄²	—	7	1	no	—
898	C₂×C₄²	—	7	1	no	—
899	C₂×C₄²	—	7	1	no	—
900	C₂×C₄²	—	7	1	no	—
901	C₂×C₄²	—	7	1	no	—
902	C₂×C₄²	—	7	1	no	—
903	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
904	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
905	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
906	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
907	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
908	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
909	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
910	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
911	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
912	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
913	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
914	#95	—	7	1	no	—
915	#95	—	7	1	no	—
916	#95	—	7	1	no	—
917	#95	—	7	1	no	—
918	#95	—	7	1	no	—
919	#95	—	7	1	no	—
920	#95	—	7	1	no	—
921	#95	—	7	1	no	—
922	#95	—	7	1	no	—
923	#95	—	7	1	no	—
924	#95	—	7	1	no	—
925	#95	—	7	1	no	—
926	#95	—	7	1	no	—
927	#95	—	7	1	no	—
928	#95	—	7	1	no	—
929	#95	—	7	1	no	—
930	#95	—	7	1	no	—
931	#95	—	7	1	no	—
932	#95	—	7	1	no	—
933	#95	—	7	1	no	—
934	#95	—	7	1	no	—
935	#95	—	7	1	no	—
936	#95	—	7	1	no	—
937	#95	—	7	1	no	—
938	#95	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	—	7	1	no	—
946	#95	—	7	1	no	—
947	#95	—	7	1	no	—
948	#95	—	7	1	no	—
949	#95	—	7	1	no	—
950	#95	—	7	1	no	—
951	#95	—	7	1	no	—
952	#95	—	7	1	no	—
953	#95	—	7	1	no	—
954	#95	—	7	1	no	—
955	#95	—	7	1	no	—
956	#95	—	7	1	no	—
957	#95	—	7	1	no	—
958	#95	—	7	1	no	—
959	#95	—	7	1	no	—
960	#95	—	7	1	no	—
961	#95	—	7	1	no	—
962	#95	C₂²×D₇	1	1	yes	characteristic
963	#95	C₂²×D₇	1	1	yes	characteristic
964	#95	C₂²×D₇	1	1	yes	characteristic
965	#95	C₂²×D₇	1	1	yes	characteristic
966	#95	C₂²×D₇	1	1	yes	characteristic
967	#95	C₂²×D₇	1	1	yes	characteristic
968	#95	C₂²×D₇	1	1	yes	characteristic
969	#95	C₂²×D₇	1	1	yes	characteristic
970	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
971	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
972	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
973	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
974	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
975	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
976	C₂²×C₇	#585	1	1	yes	characteristic
977	C₂×D₇	—	2	2	no	—
978	C₂×D₇	—	2	2	no	—
979	C₂×D₇	—	2	2	no	—
980	C₂×D₇	—	4	1	no	—
981	C₂×D₇	—	4	1	no	—
982	C₂×D₇	—	4	1	no	—
983	C₂×D₇	—	4	1	no	—
984	C₂×D₇	—	4	1	no	—
985	C₂×D₇	—	4	1	no	—
986	C₂×D₇	—	4	1	no	—
987	C₂×D₇	—	4	1	no	—
988	C₂×D₇	—	4	1	no	—
989	C₂×D₇	—	4	1	no	—
990	C₂×D₇	—	4	1	no	—
991	C₄×C₇	—	2	2	no	—
992	C₄×C₇	—	2	2	no	—
993	C₄×C₇	—	2	2	no	—
994	C₄×C₇	—	2	2	no	—
995	C₄×C₇	—	2	2	no	—
996	C₄×C₇	—	2	2	no	—
997	C₄×C₇	—	2	2	no	—
998	C₄×C₇	—	2	2	no	—
999	C₄×C₇	—	4	1	no	—
1000	C₄×C₇	—	4	1	no	—
1001	C₄×C₇	—	4	1	no	—
1002	C₄×C₇	—	4	1	no	—
1003	C₄×C₇	—	4	1	no	—
1004	C₄×C₇	—	4	1	no	—
1005	C₄×C₇	—	4	1	no	—
1006	Dic₇	—	2	2	no	—
1007	Dic₇	—	2	2	no	—
1008	Dic₇	—	2	2	no	—
1009	Dic₇	—	4	1	no	—
1010	Dic₇	—	4	1	no	—
1011	Dic₇	—	4	1	no	—
1012	Dic₇	—	4	1	no	—
1013	Dic₇	—	4	1	no	—
1014	Dic₇	—	4	1	no	—
1015	Dic₇	—	4	1	no	—
1016	Dic₇	—	4	1	no	—
1017	Dic₇	—	4	1	no	—
1018	Dic₇	—	4	1	no	—
1019	Dic₇	—	4	1	no	—
1020	C₂⁴	—	7	1	no	—
1021	C₂⁴	—	7	1	no	—
1022	C₂×Q₈	—	2	2	no	—
1023	C₂×Q₈	—	2	2	no	—
1024	C₂×Q₈	—	2	2	no	—
1025	C₂×Q₈	—	2	2	no	—
1026	C₂×Q₈	—	4	1	no	—
1027	C₂×Q₈	—	4	1	no	—
1028	C₂×Q₈	—	14	2	no	—
1029	C₂×Q₈	—	14	2	no	—
1030	C₂×Q₈	—	28	1	no	—
1031	C₂×D₄	—	14	2	no	—
1032	C₂×D₄	—	28	1	no	—
1033	C₂×D₄	—	28	1	no	—
1034	C₂²×C₄	—	7	1	no	—
1035	C₂²×C₄	—	7	1	no	—
1036	C₂²×C₄	—	7	1	no	—
1037	C₂²×C₄	—	7	1	no	—
1038	C₂²×C₄	—	7	1	no	—
1039	C₂²×C₄	—	7	1	no	—
1040	C₂²×C₄	—	7	1	no	—
1041	C₂²×C₄	—	7	1	no	—
1042	C₂²×C₄	—	7	1	no	—
1043	C₂²×C₄	—	7	1	no	—
1044	C₂²×C₄	—	7	1	no	—
1045	C₂²×C₄	—	7	1	no	—
1046	C₂²×C₄	—	7	1	no	—
1047	C₂²×C₄	—	7	1	no	—
1048	C₂²×C₄	—	14	2	no	—
1049	C₂²×C₄	—	14	2	no	—
1050	C₂²×C₄	—	14	2	no	—
1051	C₂²×C₄	—	14	2	no	—
1052	C₂²×C₄	—	14	2	no	—
1053	C₂²×C₄	—	14	2	no	—
1054	C₂²×C₄	—	14	2	no	—
1055	C₂²×C₄	—	28	1	no	—
1056	C₂²×C₄	—	28	1	no	—
1057	C₂²×C₄	—	28	1	no	—
1058	C₂²×C₄	—	28	1	no	—
1059	C₂²×C₄	—	28	1	no	—
1060	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	2	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	4	1	no	—
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	7	4	no	—
1089	C₄⋊C₄	—	14	2	no	—
1090	C₄⋊C₄	—	14	2	no	—
1091	C₄⋊C₄	—	14	2	no	—
1092	C₄⋊C₄	—	14	2	no	—
1093	C₄⋊C₄	—	14	2	no	—
1094	C₄⋊C₄	—	14	2	no	—
1095	C₄⋊C₄	—	14	2	no	—
1096	C₄⋊C₄	—	14	2	no	—
1097	C₄⋊C₄	—	14	2	no	—
1098	C₄⋊C₄	—	14	2	no	—
1099	C₄⋊C₄	—	14	2	no	—
1100	C₄⋊C₄	—	14	2	no	—
1101	C₄⋊C₄	—	14	2	no	—
1102	C₄⋊C₄	—	14	2	no	—
1103	C₄⋊C₄	—	14	2	no	—
1104	C₄⋊C₄	—	14	2	no	—
1105	C₄⋊C₄	—	14	2	no	—
1106	C₄⋊C₄	—	14	2	no	—
1107	C₄⋊C₄	—	14	2	no	—
1108	C₄⋊C₄	—	28	1	no	—
1109	C₄⋊C₄	—	28	1	no	—
1110	C₄⋊C₄	—	28	1	no	—
1111	C₄⋊C₄	—	28	1	no	—
1112	C₄⋊C₄	—	28	1	no	—
1113	C₄⋊C₄	—	28	1	no	—
1114	C₄⋊C₄	—	28	1	no	—
1115	C₄⋊C₄	—	28	1	no	—
1116	C₄⋊C₄	—	28	1	no	—
1117	C₄⋊C₄	—	28	1	no	—
1118	C₄⋊C₄	#1157	1	4	yes	—
1119	C₂²⋊C₄	—	7	4	no	—
1120	C₂²⋊C₄	—	14	2	no	—
1121	C₂²⋊C₄	—	14	2	no	—
1122	C₂²⋊C₄	—	14	2	no	—
1123	C₂²⋊C₄	—	14	2	no	—
1124	C₂²⋊C₄	—	14	2	no	—
1125	C₂²⋊C₄	—	14	2	no	—
1126	C₂²⋊C₄	—	14	2	no	—
1127	C₂²⋊C₄	—	14	2	no	—
1128	C₂²⋊C₄	—	14	2	no	—
1129	C₂²⋊C₄	—	14	2	no	—
1130	C₂²⋊C₄	—	14	2	no	—
1131	C₂²⋊C₄	—	14	2	no	—
1132	C₂²⋊C₄	—	14	2	no	—
1133	C₂²⋊C₄	—	14	2	no	—
1134	C₂²⋊C₄	—	14	2	no	—
1135	C₂²⋊C₄	—	14	2	no	—
1136	C₂²⋊C₄	—	14	2	no	—
1137	C₂²⋊C₄	—	14	2	no	—
1138	C₂²⋊C₄	—	28	1	no	—
1139	C₂²⋊C₄	—	28	1	no	—
1140	C₂²⋊C₄	—	28	1	no	—
1141	C₂²⋊C₄	—	28	1	no	—
1142	C₂²⋊C₄	—	28	1	no	—
1143	C₄²	—	2	2	no	—
1144	C₄²	—	2	2	no	—
1145	C₄²	—	2	2	no	—
1146	C₄²	—	2	2	no	—
1147	C₄²	—	2	2	no	—
1148	C₄²	—	2	2	no	—
1149	C₄²	—	4	1	no	—
1150	C₄²	—	4	1	no	—
1151	C₄²	—	4	1	no	—
1152	C₄²	—	4	1	no	—
1153	C₄²	—	4	1	no	—
1154	C₄²	—	14	2	no	—
1155	C₄²	—	14	2	no	—
1156	C₄²	—	14	2	no	—
1157	C₄²	—	14	2	no	—
1158	C₄²	—	14	2	no	—
1159	C₄²	—	14	2	no	—
1160	C₄²	—	14	2	no	—
1161	C₄²	—	28	1	no	—
1162	C₄²	—	28	1	no	—
1163	C₄²	—	28	1	no	—
1164	C₄²	—	28	1	no	—
1165	C₄²	—	28	1	no	—
1166	C₂×C₇	#3481	1	1	yes	characteristic
1167	C₂×C₇	#3482	1	1	yes	characteristic
1168	C₂×C₇	#3482	1	1	yes	characteristic
1169	C₂×C₇	#3494	1	1	yes	characteristic
1170	C₂×C₇	#3495	1	1	yes	characteristic
1171	C₂×C₇	#3507	1	1	yes	characteristic
1172	C₂×C₇	#3552	1	1	yes	characteristic
1173	D₇	—	4	2	no	—
1174	D₇	—	8	1	no	—
1175	C₂³	—	7	2	no	—
1176	C₂³	—	14	1	no	—
1177	C₂³	—	14	1	no	—
1178	C₂³	—	14	1	no	—
1179	C₂³	—	14	1	no	—
1180	C₂³	—	14	1	no	—
1181	C₂³	—	14	1	no	—
1182	C₂³	—	14	1	no	—
1183	C₂³	—	14	1	no	—
1184	C₂³	—	14	1	no	—
1185	C₂³	—	14	1	no	—
1186	C₂³	—	14	1	no	—
1187	C₂³	—	14	1	no	—
1188	C₂³	—	14	1	no	—
1189	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1190	Q₈	—	4	4	no	—
1191	Q₈	—	4	4	no	—
1192	Q₈	—	28	4	no	—
1193	D₄	—	56	2	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	7	2	no	—
1232	C₂×C₄	—	7	2	no	—
1233	C₂×C₄	—	7	2	no	—
1234	C₂×C₄	—	14	1	no	—
1235	C₂×C₄	—	14	1	no	—
1236	C₂×C₄	—	14	1	no	—
1237	C₂×C₄	—	14	1	no	—
1238	C₂×C₄	—	14	1	no	—
1239	C₂×C₄	—	14	1	no	—
1240	C₂×C₄	—	14	1	no	—
1241	C₂×C₄	—	14	1	no	—
1242	C₂×C₄	—	14	1	no	—
1243	C₂×C₄	—	14	1	no	—
1244	C₂×C₄	—	14	1	no	—
1245	C₂×C₄	—	14	1	no	—
1246	C₂×C₄	—	14	1	no	—
1247	C₂×C₄	—	14	1	no	—
1248	C₂×C₄	—	14	1	no	—
1249	C₂×C₄	—	14	1	no	—
1250	C₂×C₄	—	14	1	no	—
1251	C₂×C₄	—	14	1	no	—
1252	C₂×C₄	—	14	1	no	—
1253	C₂×C₄	—	14	1	no	—
1254	C₂×C₄	—	14	1	no	—
1255	C₂×C₄	—	14	1	no	—
1256	C₂×C₄	—	14	1	no	—
1257	C₂×C₄	—	14	1	no	—
1258	C₂×C₄	—	14	1	no	—
1259	C₂×C₄	—	14	1	no	—
1260	C₂×C₄	—	14	1	no	—
1261	C₂×C₄	—	14	1	no	—
1262	C₂×C₄	—	14	1	no	—
1263	C₂×C₄	—	14	1	no	—
1264	C₂×C₄	—	14	1	no	—
1265	C₂×C₄	—	14	1	no	—
1266	C₂×C₄	—	14	1	no	—
1267	C₂×C₄	—	14	1	no	—
1268	C₂×C₄	—	14	1	no	—
1269	C₂×C₄	—	14	1	no	—
1270	C₂×C₄	—	14	1	no	—
1271	C₂×C₄	—	14	1	no	—
1272	C₂×C₄	—	14	1	no	—
1273	C₂×C₄	—	28	4	no	—
1274	C₂×C₄	—	28	4	no	—
1275	C₂×C₄	—	28	4	no	—
1276	C₂×C₄	—	56	2	no	—
1277	C₂×C₄	C₂×#1157	1	2	yes	—
1278	C₂×C₄	C₂×#1157	1	2	yes	—
1279	C₂×C₄	C₂×#1157	1	2	yes	—
1280	C₂×C₄	#6548	1	2	yes	—
1281	C₂×C₄	#6551	1	2	yes	—
1282	C₂×C₄	#6551	1	2	yes	—
1283	C₂×C₄	D₇×#41	1	2	yes	—
1284	C₂×C₄	D₇×#41	1	2	yes	—
1285	C₇	#60041	1	1	yes	characteristic, complemented, Sylow
1286	C₂²	—	14	2	no	—
1287	C₂²	—	14	2	no	—
1288	C₂²	—	14	2	no	—
1289	C₂²	—	28	1	no	—
1290	C₂²	—	28	1	no	—
1291	C₂²	—	28	1	no	—
1292	C₂²	—	28	1	no	—
1293	C₂²	—	28	1	no	—
1294	C₂²	—	28	1	no	—
1295	C₂²	—	28	1	no	—
1296	C₂²	—	28	1	no	—
1297	C₂²	—	28	1	no	—
1298	C₂²	—	28	1	no	—
1299	C₂²	—	28	1	no	—
1300	C₂²	C₂²×#1157	1	1	yes	characteristic
1301	C₂²	C₂×#6548	1	1	yes	characteristic
1302	C₂²	C₂×#6551	1	1	yes	characteristic
1303	C₂²	C₂×#6551	1	1	yes	characteristic
1304	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1305	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1306	C₂²	#90616	1	1	yes	characteristic
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	2	2	no	—
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	4	1	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	14	2	no	—
1323	C₄	—	14	2	no	—
1324	C₄	—	14	2	no	—
1325	C₄	—	28	1	no	—
1326	C₄	—	28	1	no	—
1327	C₄	—	28	1	no	—
1328	C₄	—	28	1	no	—
1329	C₄	—	28	1	no	—
1330	C₄	—	28	1	no	—
1331	C₄	—	28	1	no	—
1332	C₄	—	28	1	no	—
1333	C₄	—	28	1	no	—
1334	C₄	—	28	1	no	—
1335	C₄	—	28	1	no	—
1336	C₂	—	28	2	no	—
1337	C₂	—	56	1	no	—
1338	C₂	#11742853	1	1	yes	characteristic
1339	C₂	#11742885	1	1	yes	characteristic
1340	C₂	#11742887	1	1	yes	characteristic
1341	C₂	#11743286	1	1	yes	characteristic
1342	C₂	#11743308	1	1	yes	characteristic
1343	C₂	#11743346	1	1	yes	characteristic
1344	C₂	#11743347	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₄×C₇×C₄⋊Q₈	C₂
prime radical	C₂²×D₂₈	C₂³
hypercenter	C₄×C₄⋊Q₈	D₇
hypocenter	C₇	#60041
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ C₄×C₄⋊Q₈

Complements

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

N	H ≅ G/N	type
1. C₄×C₇×C₄⋊Q₈	C₂	semidirect
2. #11740711	C₂	semidirect
3. #11740693	C₂	semidirect
5. #11739935	C₂	semidirect
6. #11739918	C₂	semidirect
7. #11739910	C₂	semidirect
8. #11734003	C₂	semidirect
9. #11733975	C₂	semidirect
11. #11733946	C₂	semidirect
14. #11733542	C₂	semidirect
15. #11733526	C₂	semidirect
16. #11733499	C₂	semidirect
17. #11733471	C₂	semidirect
18. #11733436	C₂	semidirect
19. #11733428	C₂	semidirect
21. #11731794	C₂	semidirect
22. #11731254	C₂	semidirect
24. #11731242	C₂	semidirect
25. #11731183	C₂	semidirect
26. #11731179	C₂	semidirect
27. #11731146	C₂	semidirect
29. #11731110	C₂	semidirect
30. #11730746	C₂	semidirect
31. #11730746	C₂	semidirect
386. C₄×C₄⋊Q₈	D₇	semidirect
1285. C₇	#60041	semidirect

Maximal subgroups

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

subgroup	index
C₄×C₇×C₄⋊Q₈	2
#11740711	2
#11740693	2
#11739942	2
#11739935	2
#11739918	2
#11739910	2
#11734003	2
#11733975	2
#11733961	2
#11733946	2
#11733690	2
#11733653	2
#11733542	2
#11733526	2
#11733499	2
#11733471	2
#11733436	2
#11733428	2
#11731817	2
#11731794	2
#11731254	2
#11731250	2
#11731242	2
#11731183	2
#11731179	2
#11731146	2
#11731112	2
#11731110	2
#11730746	2
#60041	7