Subgroups — #14247086

Order 1792.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743229	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741137	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741132	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741117	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741114	C₂	1	1	yes	maximal, characteristic, complemented
7	D₄×#1143	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741004	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741004	C₂	1	1	yes	maximal, characteristic, complemented
10	#11740998	C₂	1	1	yes	maximal, characteristic, complemented
11	#11740997	C₂	1	1	yes	maximal, characteristic, complemented
12	#11740995	C₂	1	1	yes	maximal, characteristic, complemented
13	#11740990	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740987	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740981	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740979	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740967	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740957	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740895	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740894	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740892	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740891	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740855	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740854	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740851	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740850	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740659	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#89855	C₂	1	1	yes	maximal, characteristic, complemented
29	#11740594	C₂	1	1	yes	maximal, characteristic, complemented
30	#11740588	C₂	1	1	yes	maximal, characteristic, complemented
31	#11740575	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#563	—	2	1	no	—
33	C₇×#563	—	2	1	no	—
34	C₇×#557	C₂²	1	1	yes	characteristic, complemented
35	C₇×#556	C₂²	1	1	yes	characteristic, complemented
36	C₇×#554	—	2	1	no	—
37	C₇×#553	—	2	1	no	—
38	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
39	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₇×#548	C₂²	1	1	yes	characteristic
42	C₇×#548	C₂²	1	1	yes	characteristic, complemented
43	C₇×#547	C₂²	1	1	yes	characteristic, complemented
44	C₇×#544	—	2	1	no	—
45	C₇×#542	—	2	1	no	—
46	C₇×#541	C₂²	1	1	yes	characteristic, complemented
47	C₇×#541	C₂²	1	1	yes	characteristic, complemented
48	C₇×#539	—	2	1	no	—
49	C₇×#539	—	2	1	no	—
50	C₇×#536	C₂²	1	1	yes	characteristic, complemented
51	C₇×#536	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₇×#529	C₂²	1	1	yes	characteristic
54	C₇×#529	C₂²	1	1	yes	characteristic, complemented
55	C₂×#6513	C₂²	1	1	yes	characteristic
56	C₂×#6512	C₂²	1	1	yes	characteristic
57	C₂×#6505	C₂²	1	1	yes	characteristic
58	C₂²×#1143	C₂²	1	1	yes	characteristic
59	C₂²×#1143	C₂²	1	1	yes	characteristic
60	C₂²×#1143	C₂²	1	1	yes	characteristic
61	#90400	—	2	1	no	—
62	#90396	—	2	1	no	—
63	#90383	—	2	1	no	—
64	#90369	—	2	1	no	—
65	#90347	—	2	1	no	—
66	D₇×#123	—	2	1	no	—
67	#90328	—	2	1	no	—
68	#90301	—	2	1	no	—
69	#90276	C₂²	1	1	yes	characteristic
70	#90270	C₂²	1	1	yes	characteristic
71	#90256	C₂²	1	1	yes	characteristic
72	#90246	C₂²	1	1	yes	characteristic
73	#90241	C₂²	1	1	yes	characteristic
74	#90241	C₂²	1	1	yes	characteristic
75	D₄×D₂₈	C₂²	1	1	yes	characteristic
76	#90232	C₂²	1	1	yes	characteristic
77	#90226	C₂²	1	1	yes	characteristic
78	#90225	C₂²	1	1	yes	characteristic
79	#90214	C₂²	1	1	yes	characteristic
80	#90212	C₂²	1	1	yes	characteristic
81	#90170	C₂²	1	1	yes	characteristic
82	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
83	#90011	C₂²	1	1	yes	characteristic, complemented
84	#90010	C₂²	1	1	yes	characteristic
85	#90010	C₂²	1	1	yes	characteristic, complemented
86	#90010	C₂²	1	1	yes	characteristic, complemented
87	#90005	C₂²	1	1	yes	characteristic, complemented
88	#90004	C₂²	1	1	yes	characteristic, complemented
89	#90000	C₂²	1	1	yes	characteristic, complemented
90	#90000	C₂²	1	1	yes	characteristic, complemented
91	#90000	C₂²	1	1	yes	characteristic, complemented
92	#89999	C₂²	1	1	yes	characteristic
93	#89999	C₂²	1	1	yes	characteristic
94	#89999	C₂²	1	1	yes	characteristic
95	#89999	C₂²	1	1	yes	characteristic, complemented
96	#89999	C₂²	1	1	yes	characteristic, complemented
97	#89997	C₂²	1	1	yes	characteristic, complemented
98	C₂×#6409	C₂²	1	1	yes	characteristic, complemented
99	C₂×#6409	C₂²	1	1	yes	characteristic, complemented
100	C₂×#6409	C₂²	1	1	yes	characteristic, complemented
101	#89862	C₂²	1	1	yes	characteristic, complemented
102	#89862	C₂²	1	1	yes	characteristic, complemented
103	#89862	C₂²	1	1	yes	characteristic, complemented
104	#89858	C₂²	1	1	yes	characteristic, complemented
105	#89858	C₂²	1	1	yes	characteristic, complemented
106	#89858	C₂²	1	1	yes	characteristic, complemented
107	#89857	C₂²	1	1	yes	characteristic
108	#89855	C₂²	1	1	yes	characteristic
109	#89855	C₂²	1	1	yes	characteristic
110	#89855	C₂²	1	1	yes	characteristic
111	#89855	C₂²	1	1	yes	characteristic
112	#89855	C₂²	1	1	yes	characteristic
113	#89855	C₂²	1	1	yes	characteristic
114	#89855	C₂²	1	1	yes	characteristic, complemented
115	#89855	C₂²	1	1	yes	characteristic, complemented
116	#89855	C₂²	1	1	yes	characteristic, complemented
117	#89855	C₂²	1	1	yes	characteristic, complemented
118	#89855	C₂²	1	1	yes	characteristic, complemented
119	#89855	C₂²	1	1	yes	characteristic, complemented
120	#89855	C₂²	1	1	yes	characteristic, complemented
121	#89854	C₂²	1	1	yes	characteristic, complemented
122	#89854	C₂²	1	1	yes	characteristic, complemented
123	#89854	C₂²	1	1	yes	characteristic, complemented
124	#89853	C₂²	1	1	yes	characteristic, complemented
125	#89838	C₂²	1	1	yes	characteristic
126	#89838	C₂²	1	1	yes	characteristic, complemented
127	#89838	C₂²	1	1	yes	characteristic, complemented
128	#89835	C₂²	1	1	yes	characteristic, complemented
129	#89831	C₂²	1	1	yes	characteristic, complemented
130	#89830	C₂²	1	1	yes	characteristic
131	#89829	C₂²	1	1	yes	characteristic
132	#89829	C₂²	1	1	yes	characteristic
133	#89829	C₂²	1	1	yes	characteristic
134	#89829	C₂²	1	1	yes	characteristic, complemented
135	#89829	C₂²	1	1	yes	characteristic, complemented
136	#89829	C₂²	1	1	yes	characteristic, complemented
137	#89828	C₂²	1	1	yes	characteristic, complemented
138	#89827	C₂²	1	1	yes	characteristic, complemented
139	#89826	C₂²	1	1	yes	characteristic, complemented
140	#89826	C₂²	1	1	yes	characteristic, complemented
141	#89824	C₂²	1	1	yes	characteristic, complemented
142	#89823	C₂²	1	1	yes	characteristic, complemented
143	#89823	C₂²	1	1	yes	characteristic, complemented
144	#89821	C₂²	1	1	yes	characteristic
145	#89821	C₂²	1	1	yes	characteristic, complemented
146	#89821	C₂²	1	1	yes	characteristic, complemented
147	#89820	C₂²	1	1	yes	characteristic
148	#89820	C₂²	1	1	yes	characteristic
149	#89820	C₂²	1	1	yes	characteristic, complemented
150	#89820	C₂²	1	1	yes	characteristic, complemented
151	#89819	C₂²	1	1	yes	characteristic
152	#89819	C₂²	1	1	yes	characteristic
153	#89818	C₂²	1	1	yes	characteristic
154	#89818	C₂²	1	1	yes	characteristic
155	#89818	C₂²	1	1	yes	characteristic
156	#89817	C₂²	1	1	yes	characteristic, complemented
157	#89817	C₂²	1	1	yes	characteristic, complemented
158	#89816	C₂²	1	1	yes	characteristic, complemented
159	#89815	C₂²	1	1	yes	characteristic, complemented
160	#89815	C₂²	1	1	yes	characteristic, complemented
161	#89813	C₂²	1	1	yes	characteristic, complemented
162	#89810	C₂²	1	1	yes	characteristic
163	#89808	C₂²	1	1	yes	characteristic
164	#89805	C₂²	1	1	yes	characteristic, complemented
165	#89802	C₂²	1	1	yes	characteristic, complemented
166	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
167	#89800	C₂²	1	1	yes	characteristic, complemented
168	#89800	C₂²	1	1	yes	characteristic, complemented
169	#89800	C₂²	1	1	yes	characteristic, complemented
170	#89799	C₂²	1	1	yes	characteristic
171	#89799	C₂²	1	1	yes	characteristic
172	#89798	C₂²	1	1	yes	characteristic
173	#89798	C₂²	1	1	yes	characteristic
174	#89798	C₂²	1	1	yes	characteristic
175	#89798	C₂²	1	1	yes	characteristic, complemented
176	#89798	C₂²	1	1	yes	characteristic, complemented
177	C₄×#1143	C₂²	1	1	yes	characteristic
178	C₄×#1143	C₂²	1	1	yes	characteristic
179	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
180	#89796	C₂²	1	1	yes	characteristic, complemented
181	#89796	C₂²	1	1	yes	characteristic, complemented
182	#89794	C₂²	1	1	yes	characteristic, complemented
183	#89794	C₂²	1	1	yes	characteristic, complemented
184	#89794	C₂²	1	1	yes	characteristic, complemented
185	#89793	C₂²	1	1	yes	characteristic, complemented
186	#89792	C₂²	1	1	yes	characteristic, complemented
187	#89788	C₂²	1	1	yes	characteristic, complemented
188	#89786	C₂²	1	1	yes	characteristic
189	#89786	C₂²	1	1	yes	characteristic, complemented
190	#89783	C₂²	1	1	yes	characteristic
191	#89783	C₂²	1	1	yes	characteristic, complemented
192	#89783	C₂²	1	1	yes	characteristic, complemented
193	#89783	C₂²	1	1	yes	characteristic, complemented
194	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
195	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
196	#89781	C₂²	1	1	yes	characteristic, complemented
197	#89772	C₂²	1	1	yes	characteristic, complemented
198	#89772	C₂²	1	1	yes	characteristic, complemented
199	#89771	C₂²	1	1	yes	characteristic, complemented
200	#89771	C₂²	1	1	yes	characteristic, complemented
201	#89698	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
203	#62008	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
207	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
208	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
210	C₂×#1159	—	2	1	no	—
211	C₂×D₄×D₇	—	2	1	no	—
212	C₂×#1157	C₂³	1	1	yes	characteristic
213	C₂²×D₂₈	C₂³	1	1	yes	characteristic
214	C₂²×D₂₈	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₇	—	2	1	no	—
216	C₇×C₄⋊Q₈	—	2	1	no	—
217	C₇×C₄⋊Q₈	—	2	1	no	—
218	C₇×C₄⋊Q₈	—	2	1	no	—
219	C₇×C₄⋊Q₈	—	2	1	no	—
220	C₇×C₄⋊Q₈	—	2	1	no	—
221	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₇×#126	—	2	1	no	—
228	C₇×#126	—	2	1	no	—
229	C₇×#126	—	2	1	no	—
230	C₇×#126	—	2	1	no	—
231	C₇×#126	—	2	1	no	—
232	C₇×#126	—	2	1	no	—
233	C₇×#126	—	2	1	no	—
234	C₇×#126	D₄	1	1	yes	characteristic
235	C₇×#126	D₄	1	1	yes	characteristic
236	C₇×#125	—	2	1	no	—
237	C₇×#125	—	2	1	no	—
238	C₇×#125	—	2	1	no	—
239	C₇×#125	—	2	1	no	—
240	C₇×#125	—	2	1	no	—
241	C₇×#125	—	2	1	no	—
242	C₇×#125	—	2	1	no	—
243	C₇×#125	D₄	1	1	yes	characteristic
244	C₇×#125	C₂³	1	1	yes	characteristic
245	C₇×#124	—	2	1	no	—
246	C₇×#124	—	2	1	no	—
247	C₇×#124	D₄	1	1	yes	characteristic
248	C₇×#124	C₂³	1	1	yes	characteristic
249	C₇×#124	C₂³	1	1	yes	characteristic
250	C₇×#124	C₂³	1	1	yes	characteristic
251	C₇×#123	—	2	1	no	—
252	C₇×#123	—	2	1	no	—
253	C₇×#123	—	2	1	no	—
254	C₇×#123	—	2	1	no	—
255	C₇×#123	—	2	1	no	—
256	C₇×#123	—	2	1	no	—
257	C₇×#123	—	2	1	no	—
258	C₇×#123	D₄	1	1	yes	characteristic
259	C₇×#123	D₄	1	1	yes	characteristic
260	C₇×C₂²⋊Q₈	—	2	1	no	—
261	C₇×C₂²⋊Q₈	—	2	1	no	—
262	C₇×C₂²⋊Q₈	—	2	1	no	—
263	C₇×C₂²⋊Q₈	—	2	1	no	—
264	C₇×C₂²⋊Q₈	—	2	1	no	—
265	C₇×C₂²⋊Q₈	—	2	1	no	—
266	C₇×C₂²⋊Q₈	—	2	1	no	—
267	C₇×C₂²⋊Q₈	—	2	1	no	—
268	C₇×C₂²⋊Q₈	—	2	1	no	—
269	C₇×C₂²⋊Q₈	—	2	1	no	—
270	C₇×C₂²⋊Q₈	—	2	1	no	—
271	C₇×C₂²⋊Q₈	—	2	1	no	—
272	C₇×C₂²⋊Q₈	—	2	1	no	—
273	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
274	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
275	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
276	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
277	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
278	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
279	C₇×#121	—	2	1	no	—
280	C₇×#121	—	2	1	no	—
281	C₇×#121	—	2	1	no	—
282	C₇×#121	D₄	1	1	yes	characteristic
283	C₇×#121	C₂³	1	1	yes	characteristic
284	C₄×C₇×Q₈	—	2	1	no	—
285	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
286	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
287	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
288	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
289	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
290	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
291	C₄×C₇×D₄	—	2	1	no	—
292	C₄×C₇×D₄	—	2	1	no	—
293	C₄×C₇×D₄	—	2	1	no	—
294	C₄×C₇×D₄	—	2	1	no	—
295	C₄×C₇×D₄	—	2	1	no	—
296	C₄×C₇×D₄	—	2	1	no	—
297	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
298	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
299	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
300	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
301	C₇×#117	—	2	1	no	—
302	C₇×#117	—	2	1	no	—
303	C₇×#117	C₂³	1	1	yes	characteristic
304	C₇×#117	C₂³	1	1	yes	characteristic
305	C₂×C₇×C₄⋊C₄	—	2	1	no	—
306	C₂×C₇×C₄⋊C₄	—	2	1	no	—
307	C₂×C₇×C₄⋊C₄	—	2	1	no	—
308	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
309	#6513	—	4	2	no	—
310	#6512	—	4	2	no	—
311	#6510	—	2	1	no	—
312	#6509	—	2	1	no	—
313	C₂×#1144	C₂³	1	1	yes	characteristic
314	C₂×#1144	C₂³	1	1	yes	characteristic
315	C₂×#1144	C₂³	1	1	yes	characteristic
316	C₂×#1144	C₂³	1	1	yes	characteristic
317	C₂×#1144	C₂³	1	1	yes	characteristic
318	#6505	—	4	2	no	—
319	C₂×#1143	—	4	2	no	—
320	C₂×#1143	—	4	2	no	—
321	C₂×#1143	—	4	2	no	—
322	C₂×#1143	C₂³	1	1	yes	characteristic
323	C₂×#1143	C₂³	1	1	yes	characteristic
324	C₂×#1143	C₂³	1	1	yes	characteristic
325	C₂×#1143	C₂³	1	1	yes	characteristic
326	C₂×#1143	C₂³	1	1	yes	characteristic
327	C₂×#1143	C₂³	1	1	yes	characteristic
328	C₂×#1143	C₂³	1	1	yes	characteristic
329	C₂×#1143	C₂³	1	1	yes	characteristic
330	C₂×#1143	C₂³	1	1	yes	characteristic
331	C₂×#1143	C₂³	1	1	yes	characteristic
332	C₂×#1143	C₂³	1	1	yes	characteristic
333	C₂×#1143	C₂³	1	1	yes	characteristic
334	C₂×#1143	C₂³	1	1	yes	characteristic
335	C₂×#1143	C₂³	1	1	yes	characteristic
336	C₂×#1143	C₂³	1	1	yes	characteristic
337	#6502	—	2	1	no	—
338	#6500	—	2	1	no	—
339	#6500	—	2	1	no	—
340	#6498	—	2	1	no	—
341	C₂×#1142	C₂³	1	1	yes	characteristic
342	C₂×#1141	C₂³	1	1	yes	characteristic
343	C₂×#1141	C₂³	1	1	yes	characteristic
344	C₂×#1141	C₂³	1	1	yes	characteristic
345	#6493	C₂³	1	1	yes	characteristic
346	#6493	C₂³	1	1	yes	characteristic
347	#6493	C₂³	1	1	yes	characteristic
348	#6493	C₂³	1	1	yes	characteristic
349	#6492	—	2	1	no	—
350	C₄×C₂²⋊D₇	—	2	1	no	—
351	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
352	#6489	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
355	#6487	C₂³	1	1	yes	characteristic
356	#6487	C₂³	1	1	yes	characteristic
357	C₂×#1136	C₂³	1	1	yes	characteristic
358	C₂×#1136	C₂³	1	1	yes	characteristic
359	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
360	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
361	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
362	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
363	#6461	—	2	1	no	—
364	#6461	—	2	1	no	—
365	#6460	—	2	1	no	—
366	#6459	—	2	1	no	—
367	#6459	—	2	1	no	—
368	#6459	—	2	1	no	—
369	#6458	—	2	1	no	—
370	#6457	—	2	1	no	—
371	#6457	—	2	1	no	—
372	#6457	—	2	1	no	—
373	#6457	—	2	1	no	—
374	#6457	—	2	1	no	—
375	#6457	—	2	1	no	—
376	#6456	—	2	1	no	—
377	#6456	—	2	1	no	—
378	#6456	—	2	1	no	—
379	#6455	—	2	1	no	—
380	D₇×C₄⋊C₄	—	2	1	no	—
381	D₇×C₄⋊C₄	—	2	1	no	—
382	#6452	—	2	1	no	—
383	#6449	—	2	1	no	—
384	#6449	—	2	1	no	—
385	#6448	—	2	1	no	—
386	#6447	—	2	1	no	—
387	#6447	—	2	1	no	—
388	#6447	—	2	1	no	—
389	#6447	—	2	1	no	—
390	#6446	—	2	1	no	—
391	#6446	—	2	1	no	—
392	#6445	—	2	1	no	—
393	#6445	—	2	1	no	—
394	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
395	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
396	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
397	D₇×C₂²⋊C₄	—	2	1	no	—
398	D₇×C₂²⋊C₄	—	2	1	no	—
399	D₇×C₂²⋊C₄	—	2	1	no	—
400	D₇×C₂²⋊C₄	—	2	1	no	—
401	#6442	—	2	1	no	—
402	#6440	—	2	1	no	—
403	#6439	—	2	1	no	—
404	#6438	C₂³	1	1	yes	characteristic
405	#6438	C₂³	1	1	yes	characteristic
406	#6437	C₂³	1	1	yes	characteristic
407	C₄×D₂₈	—	2	1	no	—
408	C₄×D₂₈	—	2	1	no	—
409	C₄×D₂₈	C₂³	1	1	yes	characteristic
410	C₄×D₂₈	C₂³	1	1	yes	characteristic
411	C₄×D₂₈	C₂³	1	1	yes	characteristic
412	C₄×D₂₈	C₂³	1	1	yes	characteristic
413	C₄×D₂₈	C₂³	1	1	yes	characteristic
414	C₄×D₂₈	C₂³	1	1	yes	characteristic
415	C₄×D₂₈	C₂³	1	1	yes	characteristic
416	C₄×D₂₈	C₂³	1	1	yes	characteristic
417	#6435	—	2	1	no	—
418	#6433	C₂³	1	1	yes	characteristic
419	#6433	C₂³	1	1	yes	characteristic
420	#6432	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
423	#6409	C₂³	1	1	yes	characteristic
424	#6409	C₂³	1	1	yes	characteristic
425	#6409	C₂³	1	1	yes	characteristic
426	#6409	C₂³	1	1	yes	characteristic
427	#6409	C₂³	1	1	yes	characteristic
428	#6409	C₂³	1	1	yes	characteristic
429	#6409	C₂³	1	1	yes	characteristic
430	#6409	C₂³	1	1	yes	characteristic
431	#6409	C₂³	1	1	yes	characteristic
432	#6409	C₂³	1	1	yes	characteristic
433	#6409	C₂³	1	1	yes	characteristic
434	#6409	C₂³	1	1	yes	characteristic
435	#6409	C₂³	1	1	yes	characteristic
436	#6409	C₂³	1	1	yes	characteristic
437	#6409	C₂³	1	1	yes	characteristic
438	#6409	C₂³	1	1	yes	characteristic
439	#6409	C₂³	1	1	yes	characteristic
440	#6409	C₂³	1	1	yes	characteristic
441	#6409	C₂³	1	1	yes	characteristic
442	#6409	C₂³	1	1	yes	characteristic
443	#6406	C₂³	1	1	yes	characteristic
444	#6406	C₂³	1	1	yes	characteristic
445	#6406	C₂³	1	1	yes	characteristic
446	#6406	C₂³	1	1	yes	characteristic
447	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
448	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
449	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
450	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
451	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
452	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
453	#6384	C₂³	1	1	yes	characteristic
454	#6384	C₂³	1	1	yes	characteristic
455	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	#6381	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
473	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
479	#6377	C₂³	1	1	yes	characteristic
480	#6377	C₂³	1	1	yes	characteristic
481	#6377	C₂³	1	1	yes	characteristic
482	#6377	C₂³	1	1	yes	characteristic
483	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
485	#3552	D₇	1	1	yes	characteristic, complemented
486	#3513	—	7	1	no	—
487	#3401	—	7	1	no	—
488	#3400	—	7	1	no	—
489	#3376	—	7	1	no	—
490	#3372	—	7	1	no	—
491	#3320	—	7	1	no	—
492	#3312	—	7	1	no	—
493	#3308	—	7	1	no	—
494	#3307	—	7	1	no	—
495	#3300	—	7	1	no	—
496	#3298	—	7	1	no	—
497	#3282	—	7	1	no	—
498	D₄×SD₁₆	—	7	1	no	—
499	#3267	—	7	1	no	—
500	#3266	—	7	1	no	—
501	#3266	—	7	1	no	—
502	#3265	—	7	1	no	—
503	#3260	—	7	1	no	—
504	#3258	—	7	1	no	—
505	#3250	—	7	1	no	—
506	#3225	—	7	1	no	—
507	#3221	—	7	1	no	—
508	#3218	—	7	1	no	—
509	#3123	—	7	1	no	—
510	#3120	—	7	1	no	—
511	#3114	—	7	1	no	—
512	#3046	—	7	1	no	—
513	#3042	—	7	1	no	—
514	C₂×#461	—	7	1	no	—
515	#2992	—	7	1	no	—
516	C₂³×D₇	—	2	1	no	—
517	C₂³×D₇	—	2	1	no	—
518	C₇×#41	—	4	1	no	—
519	C₇×#41	—	4	1	no	—
520	C₇×#41	—	4	1	no	—
521	C₇×#41	—	4	1	no	—
522	C₂×C₇×Q₈	—	2	1	no	—
523	C₂×C₇×Q₈	—	2	1	no	—
524	C₂×C₇×Q₈	—	2	1	no	—
525	C₂×C₇×Q₈	—	2	1	no	—
526	C₂×C₇×Q₈	—	4	1	no	—
527	C₂×C₇×Q₈	—	4	1	no	—
528	C₂×C₇×Q₈	—	4	1	no	—
529	C₂×C₇×Q₈	—	4	1	no	—
530	C₂×C₇×Q₈	—	4	1	no	—
531	C₂×C₇×Q₈	—	4	1	no	—
532	C₂×C₇×Q₈	—	4	1	no	—
533	C₂×C₇×Q₈	—	4	1	no	—
534	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
535	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
539	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
540	C₂×C₇×D₄	—	2	1	no	—
541	C₂×C₇×D₄	—	2	1	no	—
542	C₂×C₇×D₄	—	2	1	no	—
543	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
544	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
545	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
546	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₇	—	2	1	no	—
548	C₂²×C₄×C₇	—	2	1	no	—
549	C₂²×C₄×C₇	—	2	1	no	—
550	C₂²×C₄×C₇	—	2	1	no	—
551	C₂²×C₄×C₇	—	2	1	no	—
552	C₂²×C₄×C₇	—	2	1	no	—
553	C₂²×C₄×C₇	—	2	1	no	—
554	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
555	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
559	C₂×C₂²⋊D₇	—	2	1	no	—
560	C₂×C₂²⋊D₇	—	2	1	no	—
561	C₂×C₂²⋊D₇	—	2	1	no	—
562	C₂×C₂²⋊D₇	—	2	1	no	—
563	C₂×C₂²⋊D₇	—	2	1	no	—
564	C₂²×Dic₇	—	2	1	no	—
565	C₂²×Dic₇	—	2	1	no	—
566	#1159	—	8	2	no	—
567	D₄×D₇	—	8	2	no	—
568	#1157	—	2	2	no	—
569	#1157	—	4	1	no	—
570	C₂×D₂₈	—	2	2	no	—
571	C₂×D₂₈	—	2	2	no	—
572	C₂×D₂₈	—	2	1	no	—
573	C₂×D₂₈	—	2	1	no	—
574	C₂×D₂₈	—	2	1	no	—
575	C₂×D₂₈	—	2	1	no	—
576	C₂×D₂₈	—	4	1	no	—
577	C₂×D₂₈	—	4	1	no	—
578	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
579	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
580	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₄×D₇	—	2	1	no	—
582	C₂×C₄×D₇	—	2	1	no	—
583	C₂×C₄×D₇	—	2	1	no	—
584	C₂×C₄×D₇	—	2	1	no	—
585	C₂×C₄×D₇	—	2	1	no	—
586	C₂×C₄×D₇	—	2	1	no	—
587	C₂×C₄×D₇	—	2	1	no	—
588	C₂×C₄×D₇	—	2	1	no	—
589	C₂×C₄×D₇	—	2	1	no	—
590	C₂×C₄×D₇	—	8	2	no	—
591	C₂×Dic₁₄	—	2	1	no	—
592	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
593	C₇×C₄⋊C₄	—	2	1	no	—
594	C₇×C₄⋊C₄	—	2	1	no	—
595	C₇×C₄⋊C₄	—	2	1	no	—
596	C₇×C₄⋊C₄	—	2	1	no	—
597	C₇×C₄⋊C₄	—	2	1	no	—
598	C₇×C₄⋊C₄	—	2	1	no	—
599	C₇×C₄⋊C₄	—	2	1	no	—
600	C₇×C₄⋊C₄	—	2	1	no	—
601	C₇×C₄⋊C₄	—	2	1	no	—
602	C₇×C₄⋊C₄	—	2	1	no	—
603	C₇×C₄⋊C₄	—	2	1	no	—
604	C₇×C₄⋊C₄	—	2	1	no	—
605	C₇×C₄⋊C₄	—	2	1	no	—
606	C₇×C₄⋊C₄	—	2	1	no	—
607	C₇×C₄⋊C₄	—	2	1	no	—
608	C₇×C₄⋊C₄	—	2	1	no	—
609	C₇×C₄⋊C₄	—	2	1	no	—
610	C₇×C₄⋊C₄	—	2	1	no	—
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	—	2	1	no	—
614	C₇×C₄⋊C₄	—	2	1	no	—
615	C₇×C₄⋊C₄	—	2	1	no	—
616	C₇×C₄⋊C₄	—	2	1	no	—
617	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₇×C₂²⋊C₄	—	2	1	no	—
630	C₇×C₂²⋊C₄	—	2	1	no	—
631	C₇×C₂²⋊C₄	—	2	1	no	—
632	C₇×C₂²⋊C₄	—	2	1	no	—
633	C₇×C₂²⋊C₄	—	2	1	no	—
634	C₇×C₂²⋊C₄	—	2	1	no	—
635	C₇×C₂²⋊C₄	—	2	1	no	—
636	C₇×C₂²⋊C₄	—	2	1	no	—
637	C₇×C₂²⋊C₄	—	2	1	no	—
638	C₇×C₂²⋊C₄	—	2	1	no	—
639	C₇×C₂²⋊C₄	—	2	1	no	—
640	C₇×C₂²⋊C₄	—	2	1	no	—
641	C₇×C₂²⋊C₄	—	2	1	no	—
642	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₇	—	2	1	no	—
653	C₄²×C₇	—	2	1	no	—
654	C₄²×C₇	—	2	1	no	—
655	C₄²×C₇	—	2	1	no	—
656	C₄²×C₇	—	2	1	no	—
657	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
658	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
659	C₄²×C₇	C₂⁴	1	1	yes	characteristic
660	C₄²×C₇	C₂⁴	1	1	yes	characteristic
661	C₄²×C₇	C₂⁴	1	1	yes	characteristic
662	C₄²×C₇	C₂⁴	1	1	yes	characteristic
663	C₂²⋊Dic₇	—	2	1	no	—
664	C₂²⋊Dic₇	—	2	1	no	—
665	C₂²⋊Dic₇	—	2	1	no	—
666	#1144	—	4	1	no	—
667	#1144	—	4	1	no	—
668	#1144	—	4	1	no	—
669	#1144	—	4	1	no	—
670	#1144	—	4	1	no	—
671	#1143	—	2	2	no	—
672	#1143	—	2	2	no	—
673	#1143	—	2	2	no	—
674	#1143	—	2	2	no	—
675	#1143	—	2	2	no	—
676	#1143	—	4	1	no	—
677	#1143	—	4	1	no	—
678	#1143	—	4	1	no	—
679	#1143	—	4	1	no	—
680	#1143	—	4	1	no	—
681	#1143	—	4	1	no	—
682	#1143	—	4	1	no	—
683	#1143	—	4	1	no	—
684	#1143	—	4	1	no	—
685	#1143	—	4	1	no	—
686	#1142	—	4	1	no	—
687	#1141	—	2	2	no	—
688	#1141	—	4	1	no	—
689	#1141	—	4	1	no	—
690	(C₂×D₇)⋊C₄	—	2	1	no	—
691	(C₂×D₇)⋊C₄	—	2	1	no	—
692	(C₂×D₇)⋊C₄	—	2	1	no	—
693	(C₂×D₇)⋊C₄	—	2	1	no	—
694	(C₂×D₇)⋊C₄	—	2	1	no	—
695	(C₂×D₇)⋊C₄	—	2	1	no	—
696	(C₂×D₇)⋊C₄	—	2	1	no	—
697	(C₂×D₇)⋊C₄	—	2	1	no	—
698	(C₂×D₇)⋊C₄	—	2	1	no	—
699	(C₂×D₇)⋊C₄	—	2	1	no	—
700	(C₂×D₇)⋊C₄	—	2	1	no	—
701	(C₂×D₇)⋊C₄	—	2	1	no	—
702	(C₂×D₇)⋊C₄	—	2	1	no	—
703	(C₂×D₇)⋊C₄	—	2	1	no	—
704	(C₂×D₇)⋊C₄	—	2	1	no	—
705	(C₂×D₇)⋊C₄	—	2	1	no	—
706	C₄⋊Dic₇	—	2	1	no	—
707	C₄⋊Dic₇	—	2	1	no	—
708	C₄⋊Dic₇	—	2	1	no	—
709	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
713	Dic₇⋊C₄	—	2	1	no	—
714	Dic₇⋊C₄	—	2	1	no	—
715	Dic₇⋊C₄	—	2	1	no	—
716	Dic₇⋊C₄	—	2	1	no	—
717	Dic₇⋊C₄	—	2	1	no	—
718	Dic₇⋊C₄	—	2	1	no	—
719	Dic₇⋊C₄	—	2	1	no	—
720	Dic₇⋊C₄	—	2	1	no	—
721	C₄×Dic₇	—	2	1	no	—
722	C₄×Dic₇	—	2	1	no	—
723	C₄×Dic₇	—	2	1	no	—
724	#1136	—	4	1	no	—
725	#1136	—	4	1	no	—
726	C₂×C₇⋊C₈	—	4	1	no	—
727	C₂×C₇⋊C₈	—	4	1	no	—
728	C₂×C₇⋊C₈	—	4	1	no	—
729	C₂×C₇⋊C₈	—	4	1	no	—
730	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
731	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
732	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
733	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
734	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
735	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
736	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
737	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
738	C₂×#137	—	7	1	no	—
739	C₂×AGL(1,ℤ/8)	—	7	1	no	—
740	C₂×#135	—	7	1	no	—
741	C₂²×SD₁₆	—	7	1	no	—
742	C₂²×SD₁₆	—	7	1	no	—
743	C₂²×SD₁₆	—	7	1	no	—
744	#563	—	2	1	no	—
745	#563	—	2	1	no	—
746	#559	—	7	1	no	—
747	#557	C₂×D₇	1	1	yes	characteristic, complemented
748	#556	C₂×D₇	1	1	yes	characteristic, complemented
749	#554	—	2	1	no	—
750	#554	—	7	1	no	—
751	#553	—	2	1	no	—
752	#553	—	7	1	no	—
753	#553	—	14	1	no	—
754	#552	—	7	1	no	—
755	#551	—	14	1	no	—
756	#551	—	14	1	no	—
757	D₄×Q₈	C₂×D₇	1	1	yes	characteristic
758	D₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
759	D₄×Q₈	C₂×D₇	1	1	yes	characteristic, complemented
760	#548	C₂×D₇	1	1	yes	characteristic
761	#548	C₂×D₇	1	1	yes	characteristic, complemented
762	#547	—	7	1	no	—
763	#547	C₂×D₇	1	1	yes	characteristic, complemented
764	#546	—	7	1	no	—
765	#546	—	7	1	no	—
766	#546	—	14	1	no	—
767	D₄²	—	7	1	no	—
768	#544	—	2	1	no	—
769	#542	—	2	1	no	—
770	#542	—	7	1	no	—
771	#541	C₂×D₇	1	1	yes	characteristic, complemented
772	#541	C₂×D₇	1	1	yes	characteristic, complemented
773	#540	—	7	1	no	—
774	#539	—	2	1	no	—
775	#539	—	2	1	no	—
776	#539	—	14	1	no	—
777	#538	—	14	1	no	—
778	#536	C₂×D₇	1	1	yes	characteristic, complemented
779	#536	C₂×D₇	1	1	yes	characteristic, complemented
780	C₂×C₄⋊Q₈	C₂×D₇	1	1	yes	characteristic, complemented
781	#529	—	7	1	no	—
782	#529	C₂×D₇	1	1	yes	characteristic
783	#529	C₂×D₇	1	1	yes	characteristic, complemented
784	#525	—	14	1	no	—
785	C₂×#123	—	14	1	no	—
786	#520	—	7	1	no	—
787	#518	—	7	1	no	—
788	C₂×C₄×D₄	—	7	1	no	—
789	#497	—	7	1	no	—
790	#497	—	7	1	no	—
791	#497	—	7	1	no	—
792	#496	—	7	1	no	—
793	#495	—	7	1	no	—
794	#492	—	7	1	no	—
795	#491	—	7	1	no	—
796	#491	—	7	1	no	—
797	#491	—	7	1	no	—
798	#489	—	7	1	no	—
799	#488	—	7	1	no	—
800	#487	—	7	1	no	—
801	#485	—	7	1	no	—
802	#485	—	7	1	no	—
803	#484	—	7	1	no	—
804	#483	—	7	1	no	—
805	#483	—	7	1	no	—
806	#480	—	7	1	no	—
807	#479	—	7	1	no	—
808	#479	—	7	1	no	—
809	#479	—	7	1	no	—
810	#479	—	7	1	no	—
811	#478	—	7	1	no	—
812	#478	—	7	1	no	—
813	#478	—	7	1	no	—
814	#478	—	7	1	no	—
815	#477	—	7	1	no	—
816	#475	—	7	1	no	—
817	#470	—	7	1	no	—
818	#468	—	7	1	no	—
819	#468	—	7	1	no	—
820	#468	—	7	1	no	—
821	#467	—	7	1	no	—
822	#467	—	7	1	no	—
823	#466	—	7	1	no	—
824	#465	—	7	1	no	—
825	#465	—	7	1	no	—
826	#465	—	7	1	no	—
827	#465	—	7	1	no	—
828	#465	—	7	1	no	—
829	#464	—	7	1	no	—
830	#464	—	7	1	no	—
831	#464	—	7	1	no	—
832	#464	—	7	1	no	—
833	#464	—	7	1	no	—
834	#463	—	7	1	no	—
835	#463	—	7	1	no	—
836	#463	—	7	1	no	—
837	#463	—	7	1	no	—
838	#463	—	7	1	no	—
839	#463	—	7	1	no	—
840	#463	—	7	1	no	—
841	#462	—	7	1	no	—
842	#462	—	7	1	no	—
843	#462	—	7	1	no	—
844	#461	—	7	1	no	—
845	#461	—	7	1	no	—
846	#461	—	7	1	no	—
847	#461	—	7	1	no	—
848	#461	—	7	1	no	—
849	#461	—	7	1	no	—
850	#461	—	7	1	no	—
851	#461	—	7	1	no	—
852	#461	—	7	1	no	—
853	#461	—	7	1	no	—
854	#461	—	7	1	no	—
855	#461	—	7	1	no	—
856	#461	—	7	1	no	—
857	#460	—	7	1	no	—
858	#460	—	7	1	no	—
859	#452	—	7	1	no	—
860	#452	—	7	1	no	—
861	#452	—	7	1	no	—
862	#451	—	7	1	no	—
863	#451	—	7	1	no	—
864	#451	—	7	1	no	—
865	#450	—	7	1	no	—
866	#450	—	7	1	no	—
867	#450	—	7	1	no	—
868	#449	—	7	1	no	—
869	#449	—	7	1	no	—
870	#449	—	7	1	no	—
871	#448	—	7	1	no	—
872	#448	—	7	1	no	—
873	#448	—	7	1	no	—
874	#448	—	7	1	no	—
875	#448	—	7	1	no	—
876	#447	—	7	1	no	—
877	#446	—	7	1	no	—
878	#446	—	7	1	no	—
879	#442	—	7	1	no	—
880	#442	—	7	1	no	—
881	#441	—	7	1	no	—
882	#440	—	7	1	no	—
883	#440	—	7	1	no	—
884	#440	—	7	1	no	—
885	#440	—	7	1	no	—
886	#440	—	7	1	no	—
887	C₄×Q₁₆	—	7	1	no	—
888	C₄×SD₁₆	—	7	1	no	—
889	C₄×SD₁₆	—	7	1	no	—
890	C₄×SD₁₆	—	7	1	no	—
891	#435	—	7	1	no	—
892	#435	—	7	1	no	—
893	#435	—	7	1	no	—
894	#435	—	7	1	no	—
895	C₈×D₄	—	7	1	no	—
896	C₈×D₄	—	7	1	no	—
897	#433	—	7	1	no	—
898	#433	—	7	1	no	—
899	#432	—	7	1	no	—
900	#424	—	7	1	no	—
901	#424	—	7	1	no	—
902	C₂×C₄⋊C₈	—	7	1	no	—
903	#419	—	7	1	no	—
904	#417	—	7	1	no	—
905	#416	—	7	1	no	—
906	C₂×#103	—	7	1	no	—
907	C₂×#103	—	7	1	no	—
908	C₂×#103	—	7	1	no	—
909	C₂³×C₇	—	2	1	no	—
910	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
911	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
912	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
913	C₂²×D₇	—	2	1	no	—
914	C₂²×D₇	—	2	1	no	—
915	C₂²×D₇	—	2	1	no	—
916	C₂²×D₇	—	4	2	no	—
917	C₂²×D₇	—	4	2	no	—
918	C₂²×D₇	—	4	2	no	—
919	C₂²×D₇	—	8	1	no	—
920	C₂²×D₇	—	8	1	no	—
921	C₂²×D₇	—	8	1	no	—
922	C₇×Q₈	—	2	1	no	—
923	C₇×Q₈	—	2	1	no	—
924	C₇×Q₈	—	2	1	no	—
925	C₇×Q₈	—	2	1	no	—
926	C₇×Q₈	—	2	1	no	—
927	C₇×Q₈	—	2	1	no	—
928	C₇×Q₈	—	2	1	no	—
929	C₇×Q₈	—	2	1	no	—
930	C₇×Q₈	—	2	1	no	—
931	C₇×Q₈	—	2	1	no	—
932	C₇×Q₈	—	4	1	no	—
933	C₇×Q₈	—	8	1	no	—
934	C₇×Q₈	—	8	1	no	—
935	C₇×Q₈	—	8	1	no	—
936	C₇×Q₈	—	8	1	no	—
937	C₇×D₄	—	2	2	no	—
938	C₇×D₄	—	2	2	no	—
939	C₇×D₄	—	2	1	no	—
940	C₇×D₄	—	2	1	no	—
941	C₇×D₄	—	4	1	no	—
942	C₇×D₄	—	4	2	no	—
943	C₇×D₄	—	8	1	no	—
944	C₇×D₄	—	8	1	no	—
945	C₂×C₄×C₇	—	2	2	no	—
946	C₂×C₄×C₇	—	2	1	no	—
947	C₂×C₄×C₇	—	2	1	no	—
948	C₂×C₄×C₇	—	2	1	no	—
949	C₂×C₄×C₇	—	2	1	no	—
950	C₂×C₄×C₇	—	2	1	no	—
951	C₂×C₄×C₇	—	2	1	no	—
952	C₂×C₄×C₇	—	2	1	no	—
953	C₂×C₄×C₇	—	2	1	no	—
954	C₂×C₄×C₇	—	2	1	no	—
955	C₂×C₄×C₇	—	2	1	no	—
956	C₂×C₄×C₇	—	2	1	no	—
957	C₂×C₄×C₇	—	2	1	no	—
958	C₂×C₄×C₇	—	2	1	no	—
959	C₂×C₄×C₇	—	4	1	no	—
960	C₂×C₄×C₇	—	4	2	no	—
961	C₂×C₄×C₇	—	8	1	no	—
962	C₂×C₄×C₇	—	8	1	no	—
963	C₂×C₄×C₇	—	8	1	no	—
964	C₂×C₄×C₇	—	8	1	no	—
965	C₂×C₄×C₇	—	8	1	no	—
966	C₂×C₄×C₇	—	8	1	no	—
967	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
968	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
969	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
970	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
971	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
972	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
974	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
975	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
976	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
977	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
979	C₂²⋊D₇	—	4	2	no	—
980	C₂²⋊D₇	—	4	2	no	—
981	C₂²⋊D₇	—	8	1	no	—
982	C₂²⋊D₇	—	8	1	no	—
983	C₂²⋊D₇	—	8	1	no	—
984	C₂×Dic₇	—	2	1	no	—
985	C₂×Dic₇	—	2	1	no	—
986	C₂×Dic₇	—	2	1	no	—
987	C₂×Dic₇	—	2	1	no	—
988	C₂×Dic₇	—	2	1	no	—
989	C₂×Dic₇	—	4	2	no	—
990	C₂×Dic₇	—	8	1	no	—
991	D₂₈	—	2	1	no	—
992	D₂₈	—	2	1	no	—
993	D₂₈	—	2	1	no	—
994	D₂₈	—	2	1	no	—
995	D₂₈	—	2	1	no	—
996	D₂₈	—	4	2	no	—
997	D₂₈	—	4	2	no	—
998	D₂₈	—	8	1	no	—
999	D₂₈	—	8	1	no	—
1000	D₂₈	H(5,𝔽₂)	1	2	yes	—
1001	C₄×D₇	—	4	2	no	—
1002	C₄×D₇	—	8	1	no	—
1003	C₄×D₇	—	8	1	no	—
1004	C₄×D₇	—	8	1	no	—
1005	C₄×D₇	—	8	1	no	—
1006	C₄×D₇	—	8	1	no	—
1007	C₄×D₇	—	8	1	no	—
1008	C₄×D₇	—	8	1	no	—
1009	C₄×D₇	—	8	1	no	—
1010	Dic₁₄	—	2	1	no	—
1011	Dic₁₄	—	2	1	no	—
1012	Dic₁₄	—	8	1	no	—
1013	C₇⋊C₈	—	2	1	no	—
1014	C₇⋊C₈	—	2	1	no	—
1015	C₇⋊C₈	—	2	1	no	—
1016	C₇⋊C₈	—	2	1	no	—
1017	C₇⋊C₈	—	2	1	no	—
1018	C₇⋊C₈	—	2	1	no	—
1019	C₇⋊C₈	—	2	1	no	—
1020	C₇⋊C₈	—	2	1	no	—
1021	C₂×#41	—	7	1	no	—
1022	C₂×#41	—	14	1	no	—
1023	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1024	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1025	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1026	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1027	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1028	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1029	C₂²×D₄	—	7	1	no	—
1030	C₂²×D₄	—	7	1	no	—
1031	C₂²×D₄	—	14	1	no	—
1032	C₂³×C₄	—	14	1	no	—
1033	#137	—	28	2	no	—
1034	AGL(1,ℤ/8)	—	28	2	no	—
1035	#135	—	28	2	no	—
1036	C₂×Q₁₆	—	7	1	no	—
1037	C₂×Q₁₆	—	7	1	no	—
1038	C₂×Q₁₆	—	7	1	no	—
1039	C₂×Q₁₆	—	7	1	no	—
1040	C₂×Q₁₆	—	7	1	no	—
1041	C₂×SD₁₆	—	7	1	no	—
1042	C₂×SD₁₆	—	7	1	no	—
1043	C₂×SD₁₆	—	7	1	no	—
1044	C₂×SD₁₆	—	7	1	no	—
1045	C₂×SD₁₆	—	7	1	no	—
1046	C₂×SD₁₆	—	7	1	no	—
1047	C₂×SD₁₆	—	7	1	no	—
1048	C₂×SD₁₆	—	7	1	no	—
1049	C₂×SD₁₆	—	7	1	no	—
1050	C₂×SD₁₆	—	7	1	no	—
1051	C₂×SD₁₆	—	7	1	no	—
1052	C₂×SD₁₆	—	7	1	no	—
1053	C₂×SD₁₆	—	7	1	no	—
1054	C₂×SD₁₆	—	7	1	no	—
1055	C₂×SD₁₆	—	7	1	no	—
1056	C₂×SD₁₆	—	7	1	no	—
1057	C₂×SD₁₆	—	28	2	no	—
1058	C₂×SD₁₆	—	28	2	no	—
1059	C₂×SD₁₆	—	28	2	no	—
1060	C₂×D₈	—	7	1	no	—
1061	C₂×D₈	—	7	1	no	—
1062	C₂×D₈	—	7	1	no	—
1063	C₂×M₁₆	—	7	1	no	—
1064	C₂×M₁₆	—	7	1	no	—
1065	C₂²×C₈	—	7	1	no	—
1066	C₂²×C₈	—	7	1	no	—
1067	C₂²×C₈	—	7	1	no	—
1068	C₂²×C₈	—	7	1	no	—
1069	C₄⋊Q₈	—	2	1	no	—
1070	C₄⋊Q₈	—	2	1	no	—
1071	C₄⋊Q₈	—	2	1	no	—
1072	C₄⋊Q₈	—	2	1	no	—
1073	C₄⋊Q₈	—	2	1	no	—
1074	C₄⋊Q₈	—	7	1	no	—
1075	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1080	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1081	#127	—	7	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	2	1	no	—
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	14	1	no	—
1090	#126	—	14	1	no	—
1091	#126	—	14	1	no	—
1092	#126	—	14	1	no	—
1093	#126	C₂²⋊D₇	1	1	yes	characteristic
1094	#126	C₂²⋊D₇	1	1	yes	characteristic
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	—	2	1	no	—
1102	#125	—	7	1	no	—
1103	#125	—	7	1	no	—
1104	#125	—	14	1	no	—
1105	#125	C₂²⋊D₇	1	1	yes	characteristic
1106	#125	C₂²×D₇	1	1	yes	characteristic
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	—	7	1	no	—
1110	#124	—	7	1	no	—
1111	#124	—	14	1	no	—
1112	#124	—	14	1	no	—
1113	#124	C₂²⋊D₇	1	1	yes	characteristic
1114	#124	C₂²×D₇	1	1	yes	characteristic
1115	#124	C₂²×D₇	1	1	yes	characteristic
1116	#124	C₂²×D₇	1	1	yes	characteristic
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	2	1	no	—
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	14	1	no	—
1125	#123	—	14	1	no	—
1126	#123	—	14	1	no	—
1127	#123	—	14	1	no	—
1128	#123	—	14	1	no	—
1129	#123	—	14	1	no	—
1130	#123	—	14	1	no	—
1131	#123	—	14	1	no	—
1132	#123	—	14	1	no	—
1133	#123	—	14	1	no	—
1134	#123	—	14	1	no	—
1135	#123	—	14	1	no	—
1136	#123	C₂²⋊D₇	1	1	yes	characteristic
1137	#123	C₂²⋊D₇	1	1	yes	characteristic
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	2	1	no	—
1140	C₂²⋊Q₈	—	2	1	no	—
1141	C₂²⋊Q₈	—	2	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	7	1	no	—
1152	C₂²⋊Q₈	—	7	1	no	—
1153	C₂²⋊Q₈	—	14	1	no	—
1154	C₂²⋊Q₈	—	14	1	no	—
1155	C₂²⋊Q₈	—	14	1	no	—
1156	C₂²⋊Q₈	—	14	1	no	—
1157	C₂²⋊Q₈	—	14	1	no	—
1158	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1159	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1160	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1161	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	7	1	no	—
1168	#121	—	7	1	no	—
1169	#121	—	7	1	no	—
1170	#121	—	7	1	no	—
1171	#121	—	14	1	no	—
1172	#121	—	14	1	no	—
1173	#121	—	14	1	no	—
1174	#121	—	14	1	no	—
1175	#121	—	14	1	no	—
1176	#121	—	14	1	no	—
1177	#121	C₂²⋊D₇	1	1	yes	characteristic
1178	#121	C₂²×D₇	1	1	yes	characteristic
1179	#120	—	14	1	no	—
1180	#120	—	14	1	no	—
1181	#120	—	14	1	no	—
1182	#120	—	14	1	no	—
1183	C₄×Q₈	—	2	1	no	—
1184	C₄×Q₈	—	7	1	no	—
1185	C₄×Q₈	—	7	1	no	—
1186	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1187	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1188	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1189	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1190	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1191	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	7	1	no	—
1199	C₄×D₄	—	7	1	no	—
1200	C₄×D₄	—	7	1	no	—
1201	C₄×D₄	—	7	1	no	—
1202	C₄×D₄	—	7	1	no	—
1203	C₄×D₄	—	7	1	no	—
1204	C₄×D₄	—	7	1	no	—
1205	C₄×D₄	—	7	1	no	—
1206	C₄×D₄	—	14	1	no	—
1207	C₄×D₄	—	14	1	no	—
1208	C₄×D₄	—	14	1	no	—
1209	C₄×D₄	—	14	1	no	—
1210	C₄×D₄	—	14	1	no	—
1211	C₄×D₄	—	14	1	no	—
1212	C₄×D₄	—	14	1	no	—
1213	C₄×D₄	—	14	1	no	—
1214	C₄×D₄	—	14	1	no	—
1215	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1216	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1217	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1218	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1219	#117	—	2	1	no	—
1220	#117	—	2	1	no	—
1221	#117	—	7	1	no	—
1222	#117	—	14	1	no	—
1223	#117	—	14	1	no	—
1224	#117	—	14	1	no	—
1225	#117	C₂²×D₇	1	1	yes	characteristic
1226	#117	C₂²×D₇	1	1	yes	characteristic
1227	C₂×C₄⋊C₄	—	2	1	no	—
1228	C₂×C₄⋊C₄	—	2	1	no	—
1229	C₂×C₄⋊C₄	—	2	1	no	—
1230	C₂×C₄⋊C₄	—	7	1	no	—
1231	C₂×C₄⋊C₄	—	7	1	no	—
1232	C₂×C₄⋊C₄	—	14	1	no	—
1233	C₂×C₄⋊C₄	—	14	1	no	—
1234	C₂×C₂²⋊C₄	—	14	1	no	—
1235	C₂×C₂²⋊C₄	—	14	1	no	—
1236	C₂×C₂²⋊C₄	—	14	1	no	—
1237	C₂×C₂²⋊C₄	—	14	1	no	—
1238	C₂×C₂²⋊C₄	—	14	1	no	—
1239	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1240	#107	—	7	1	no	—
1241	#107	—	7	1	no	—
1242	#107	—	7	1	no	—
1243	#107	—	7	1	no	—
1244	#106	—	7	1	no	—
1245	#106	—	7	1	no	—
1246	#106	—	7	1	no	—
1247	#106	—	7	1	no	—
1248	C₄⋊C₈	—	7	1	no	—
1249	C₄⋊C₈	—	7	1	no	—
1250	C₄⋊C₈	—	7	1	no	—
1251	C₄⋊C₈	—	7	1	no	—
1252	C₄⋊C₈	—	7	1	no	—
1253	C₄⋊C₈	—	7	1	no	—
1254	C₄⋊C₈	—	7	1	no	—
1255	C₄⋊C₈	—	7	1	no	—
1256	C₄⋊C₈	—	7	1	no	—
1257	C₄⋊C₈	—	7	1	no	—
1258	#103	—	7	1	no	—
1259	#103	—	7	1	no	—
1260	#103	—	7	1	no	—
1261	#103	—	7	1	no	—
1262	#103	—	7	1	no	—
1263	#103	—	7	1	no	—
1264	#103	—	7	1	no	—
1265	#103	—	7	1	no	—
1266	#103	—	7	1	no	—
1267	#103	—	7	1	no	—
1268	#103	—	7	1	no	—
1269	#103	—	7	1	no	—
1270	#103	—	7	1	no	—
1271	#103	—	7	1	no	—
1272	#103	—	7	1	no	—
1273	#103	—	7	1	no	—
1274	#103	—	7	1	no	—
1275	#103	—	7	1	no	—
1276	#103	—	7	1	no	—
1277	#103	—	7	1	no	—
1278	#103	—	7	1	no	—
1279	#103	—	7	1	no	—
1280	#102	—	7	1	no	—
1281	#102	—	7	1	no	—
1282	#102	—	7	1	no	—
1283	#102	—	7	1	no	—
1284	#102	—	7	1	no	—
1285	#102	—	7	1	no	—
1286	#102	—	7	1	no	—
1287	#102	—	7	1	no	—
1288	#102	—	7	1	no	—
1289	#102	—	7	1	no	—
1290	C₂²⋊C₈	—	7	1	no	—
1291	C₂²⋊C₈	—	7	1	no	—
1292	C₂²⋊C₈	—	7	1	no	—
1293	C₂²⋊C₈	—	7	1	no	—
1294	C₂²⋊C₈	—	7	1	no	—
1295	C₂²⋊C₈	—	7	1	no	—
1296	#97	—	7	1	no	—
1297	#97	—	7	1	no	—
1298	#97	—	7	1	no	—
1299	#97	—	7	1	no	—
1300	C₄×C₈	—	7	1	no	—
1301	C₄×C₈	—	7	1	no	—
1302	C₂²×C₇	—	2	1	no	—
1303	C₂²×C₇	—	2	1	no	—
1304	C₂²×C₇	—	2	1	no	—
1305	C₂²×C₇	—	2	1	no	—
1306	C₂²×C₇	—	2	1	no	—
1307	C₂²×C₇	—	2	1	no	—
1308	C₂²×C₇	—	2	1	no	—
1309	C₂²×C₇	—	2	1	no	—
1310	C₂²×C₇	—	4	1	no	—
1311	C₂²×C₇	—	4	1	no	—
1312	C₂²×C₇	—	4	1	no	—
1313	C₂²×C₇	#577	1	2	yes	—
1314	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1315	C₂×D₇	—	2	2	no	—
1316	C₂×D₇	—	4	1	no	—
1317	C₂×D₇	—	4	1	no	—
1318	C₂×D₇	—	4	1	no	—
1319	C₂×D₇	—	4	1	no	—
1320	C₂×D₇	—	4	1	no	—
1321	C₂×D₇	—	4	1	no	—
1322	C₂×D₇	—	4	1	no	—
1323	C₂×D₇	—	4	1	no	—
1324	C₂×D₇	—	8	4	no	—
1325	C₂×D₇	—	16	2	no	—
1326	C₄×C₇	—	2	1	no	—
1327	C₄×C₇	—	2	1	no	—
1328	C₄×C₇	—	2	1	no	—
1329	C₄×C₇	—	2	1	no	—
1330	C₄×C₇	—	2	1	no	—
1331	C₄×C₇	—	2	1	no	—
1332	C₄×C₇	—	2	1	no	—
1333	C₄×C₇	—	2	1	no	—
1334	C₄×C₇	—	2	1	no	—
1335	C₄×C₇	—	2	1	no	—
1336	C₄×C₇	—	2	1	no	—
1337	C₄×C₇	—	4	1	no	—
1338	C₄×C₇	—	4	1	no	—
1339	C₄×C₇	—	4	1	no	—
1340	C₄×C₇	—	4	1	no	—
1341	C₄×C₇	—	4	1	no	—
1342	C₄×C₇	—	4	1	no	—
1343	C₄×C₇	—	4	1	no	—
1344	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1345	C₄×C₇	#585	1	1	yes	characteristic
1346	Dic₇	—	4	1	no	—
1347	Dic₇	—	4	1	no	—
1348	Dic₇	—	4	1	no	—
1349	Dic₇	—	4	1	no	—
1350	Dic₇	—	4	1	no	—
1351	C₂⁴	—	14	1	no	—
1352	C₂⁴	—	14	1	no	—
1353	#41	—	4	1	no	—
1354	#41	—	4	1	no	—
1355	#41	—	4	1	no	—
1356	#41	—	4	1	no	—
1357	#41	—	14	2	no	—
1358	#41	—	28	1	no	—
1359	#41	—	56	2	no	—
1360	C₂×Q₈	—	2	1	no	—
1361	C₂×Q₈	—	2	1	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	2	1	no	—
1364	C₂×Q₈	—	4	1	no	—
1365	C₂×Q₈	—	4	1	no	—
1366	C₂×Q₈	—	4	1	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	—	4	1	no	—
1369	C₂×Q₈	—	4	1	no	—
1370	C₂×Q₈	—	4	1	no	—
1371	C₂×Q₈	—	4	1	no	—
1372	C₂×Q₈	—	7	1	no	—
1373	C₂×Q₈	—	14	1	no	—
1374	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1375	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1376	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1377	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1378	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1379	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	7	1	no	—
1384	C₂×D₄	—	7	1	no	—
1385	C₂×D₄	—	7	1	no	—
1386	C₂×D₄	—	14	2	no	—
1387	C₂×D₄	—	14	2	no	—
1388	C₂×D₄	—	14	1	no	—
1389	C₂×D₄	—	14	1	no	—
1390	C₂×D₄	—	14	1	no	—
1391	C₂×D₄	—	14	1	no	—
1392	C₂×D₄	—	14	1	no	—
1393	C₂×D₄	—	14	1	no	—
1394	C₂×D₄	—	14	1	no	—
1395	C₂×D₄	—	14	1	no	—
1396	C₂×D₄	—	14	1	no	—
1397	C₂×D₄	—	28	1	no	—
1398	C₂×D₄	—	28	1	no	—
1399	C₂×D₄	—	56	2	no	—
1400	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1401	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1402	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1403	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	14	1	no	—
1412	C₂²×C₄	—	14	1	no	—
1413	C₂²×C₄	—	14	1	no	—
1414	C₂²×C₄	—	14	1	no	—
1415	C₂²×C₄	—	14	1	no	—
1416	C₂²×C₄	—	14	1	no	—
1417	C₂²×C₄	—	14	1	no	—
1418	C₂²×C₄	—	14	1	no	—
1419	C₂²×C₄	—	14	1	no	—
1420	C₂²×C₄	—	14	1	no	—
1421	C₂²×C₄	—	14	1	no	—
1422	C₂²×C₄	—	56	2	no	—
1423	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1424	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1425	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1426	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1428	Q₁₆	—	28	1	no	—
1429	Q₁₆	—	28	1	no	—
1430	Q₁₆	—	28	1	no	—
1431	Q₁₆	—	28	1	no	—
1432	Q₁₆	—	28	1	no	—
1433	SD₁₆	—	14	2	no	—
1434	SD₁₆	—	14	2	no	—
1435	SD₁₆	—	14	2	no	—
1436	SD₁₆	—	14	2	no	—
1437	SD₁₆	—	14	2	no	—
1438	SD₁₆	—	28	1	no	—
1439	SD₁₆	—	28	1	no	—
1440	SD₁₆	—	28	1	no	—
1441	SD₁₆	—	28	1	no	—
1442	SD₁₆	—	28	1	no	—
1443	SD₁₆	—	28	1	no	—
1444	SD₁₆	—	28	1	no	—
1445	SD₁₆	—	28	1	no	—
1446	SD₁₆	—	28	1	no	—
1447	SD₁₆	—	28	1	no	—
1448	SD₁₆	—	28	1	no	—
1449	D₈	—	14	2	no	—
1450	D₈	—	28	1	no	—
1451	D₈	—	28	1	no	—
1452	M₁₆	—	28	1	no	—
1453	M₁₆	—	28	1	no	—
1454	C₂×C₈	—	7	1	no	—
1455	C₂×C₈	—	7	1	no	—
1456	C₂×C₈	—	7	1	no	—
1457	C₂×C₈	—	7	1	no	—
1458	C₂×C₈	—	7	1	no	—
1459	C₂×C₈	—	7	1	no	—
1460	C₂×C₈	—	7	1	no	—
1461	C₂×C₈	—	7	1	no	—
1462	C₂×C₈	—	28	1	no	—
1463	C₂×C₈	—	28	1	no	—
1464	C₂×C₈	—	28	1	no	—
1465	C₂×C₈	—	28	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	7	1	no	—
1491	C₄⋊C₄	—	7	1	no	—
1492	C₄⋊C₄	—	7	1	no	—
1493	C₄⋊C₄	—	7	1	no	—
1494	C₄⋊C₄	—	14	1	no	—
1495	C₄⋊C₄	—	14	1	no	—
1496	C₄⋊C₄	—	14	1	no	—
1497	C₄⋊C₄	—	14	1	no	—
1498	C₄⋊C₄	—	14	1	no	—
1499	C₄⋊C₄	—	14	1	no	—
1500	C₄⋊C₄	—	14	1	no	—
1501	C₄⋊C₄	—	14	1	no	—
1502	C₄⋊C₄	—	14	1	no	—
1503	C₄⋊C₄	—	14	1	no	—
1504	C₄⋊C₄	—	14	1	no	—
1505	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1506	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1507	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1508	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1509	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1510	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1511	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1512	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1513	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1514	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1515	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1516	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	14	1	no	—
1531	C₂²⋊C₄	—	14	1	no	—
1532	C₂²⋊C₄	—	14	1	no	—
1533	C₂²⋊C₄	—	14	1	no	—
1534	C₂²⋊C₄	—	14	1	no	—
1535	C₂²⋊C₄	—	14	1	no	—
1536	C₂²⋊C₄	—	14	1	no	—
1537	C₂²⋊C₄	—	14	1	no	—
1538	C₂²⋊C₄	—	14	1	no	—
1539	C₂²⋊C₄	—	14	1	no	—
1540	C₂²⋊C₄	—	14	1	no	—
1541	C₂²⋊C₄	—	14	1	no	—
1542	C₂²⋊C₄	—	14	1	no	—
1543	C₂²⋊C₄	—	14	1	no	—
1544	C₂²⋊C₄	—	14	1	no	—
1545	C₂²⋊C₄	—	14	1	no	—
1546	C₂²⋊C₄	—	14	1	no	—
1547	C₂²⋊C₄	—	14	1	no	—
1548	C₂²⋊C₄	—	14	1	no	—
1549	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1550	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1551	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1552	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1553	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1554	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1555	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1556	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1557	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1558	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	14	1	no	—
1565	C₄²	—	14	1	no	—
1566	C₄²	—	14	1	no	—
1567	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1568	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1569	C₄²	C₂³×D₇	1	1	yes	characteristic
1570	C₄²	C₂³×D₇	1	1	yes	characteristic
1571	C₄²	C₂³×D₇	1	1	yes	characteristic
1572	C₄²	C₂³×D₇	1	1	yes	characteristic
1573	C₂×C₇	—	2	2	no	—
1574	C₂×C₇	—	4	1	no	—
1575	C₂×C₇	—	4	1	no	—
1576	C₂×C₇	—	8	1	no	—
1577	C₂×C₇	#3488	1	1	yes	characteristic
1578	C₂×C₇	C₂×#577	1	1	yes	characteristic
1579	C₂×C₇	#3586	1	1	yes	characteristic
1580	D₇	—	4	2	no	—
1581	D₇	—	8	1	no	—
1582	D₇	—	8	1	no	—
1583	C₂³	—	2	1	no	—
1584	C₂³	—	14	1	no	—
1585	C₂³	—	14	1	no	—
1586	C₂³	—	14	1	no	—
1587	C₂³	—	28	2	no	—
1588	C₂³	—	28	2	no	—
1589	C₂³	—	28	2	no	—
1590	C₂³	—	56	1	no	—
1591	C₂³	—	56	1	no	—
1592	C₂³	—	56	1	no	—
1593	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1594	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1595	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	2	1	no	—
1600	Q₈	—	2	1	no	—
1601	Q₈	—	2	1	no	—
1602	Q₈	—	2	1	no	—
1603	Q₈	—	2	1	no	—
1604	Q₈	—	2	1	no	—
1605	Q₈	—	2	1	no	—
1606	Q₈	—	4	1	no	—
1607	Q₈	—	8	1	no	—
1608	Q₈	—	8	1	no	—
1609	Q₈	—	8	1	no	—
1610	Q₈	—	8	1	no	—
1611	Q₈	—	14	1	no	—
1612	Q₈	—	14	1	no	—
1613	Q₈	—	56	1	no	—
1614	D₄	—	2	2	no	—
1615	D₄	—	2	2	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	4	1	no	—
1619	D₄	—	4	2	no	—
1620	D₄	—	7	2	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	14	1	no	—
1624	D₄	—	14	1	no	—
1625	D₄	—	14	1	no	—
1626	D₄	—	14	1	no	—
1627	D₄	—	14	1	no	—
1628	D₄	—	28	2	no	—
1629	D₄	—	28	2	no	—
1630	D₄	—	28	2	no	—
1631	D₄	—	28	2	no	—
1632	D₄	—	56	1	no	—
1633	D₄	—	56	1	no	—
1634	D₄	—	56	1	no	—
1635	D₄	—	56	1	no	—
1636	D₄	—	56	1	no	—
1637	C₂×C₄	—	2	2	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	4	1	no	—
1652	C₂×C₄	—	4	2	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	8	1	no	—
1658	C₂×C₄	—	8	1	no	—
1659	C₂×C₄	—	14	1	no	—
1660	C₂×C₄	—	14	1	no	—
1661	C₂×C₄	—	14	1	no	—
1662	C₂×C₄	—	14	1	no	—
1663	C₂×C₄	—	14	1	no	—
1664	C₂×C₄	—	28	2	no	—
1665	C₂×C₄	—	28	2	no	—
1666	C₂×C₄	—	56	1	no	—
1667	C₂×C₄	—	56	1	no	—
1668	C₂×C₄	—	56	1	no	—
1669	C₂×C₄	—	56	1	no	—
1670	C₂×C₄	—	56	1	no	—
1671	C₂×C₄	—	56	1	no	—
1672	C₂×C₄	—	56	1	no	—
1673	C₂×C₄	—	56	1	no	—
1674	C₂×C₄	—	56	1	no	—
1675	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1676	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1677	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1678	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1679	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1680	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1681	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1682	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1683	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1684	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1685	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1686	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1687	C₈	—	14	1	no	—
1688	C₈	—	14	1	no	—
1689	C₈	—	14	1	no	—
1690	C₈	—	14	1	no	—
1691	C₈	—	14	1	no	—
1692	C₈	—	14	1	no	—
1693	C₈	—	14	1	no	—
1694	C₈	—	14	1	no	—
1695	C₇	#62008	1	1	yes	characteristic, complemented, Sylow
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	1	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	2	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	14	2	no	—
1708	C₂²	—	28	1	no	—
1709	C₂²	—	28	1	no	—
1710	C₂²	—	28	1	no	—
1711	C₂²	—	28	1	no	—
1712	C₂²	—	28	1	no	—
1713	C₂²	—	28	1	no	—
1714	C₂²	—	28	1	no	—
1715	C₂²	—	28	1	no	—
1716	C₂²	—	56	4	no	—
1717	C₂²	—	112	2	no	—
1718	C₂²	#90528	1	2	yes	—
1719	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	2	1	no	—
1724	C₄	—	2	1	no	—
1725	C₄	—	2	1	no	—
1726	C₄	—	2	1	no	—
1727	C₄	—	2	1	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	—	4	1	no	—
1734	C₄	—	4	1	no	—
1735	C₄	—	4	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	28	1	no	—
1739	C₄	—	28	1	no	—
1740	C₄	—	28	1	no	—
1741	C₄	—	28	1	no	—
1742	C₄	—	28	1	no	—
1743	C₄	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1744	C₄	#90618	1	1	yes	characteristic
1745	C₂	—	2	2	no	—
1746	C₂	—	4	1	no	—
1747	C₂	—	4	1	no	—
1748	C₂	—	8	1	no	—
1749	C₂	—	28	2	no	—
1750	C₂	—	56	1	no	—
1751	C₂	—	56	1	no	—
1752	C₂	#11744353	1	1	yes	characteristic
1753	C₂	C₂×#90528	1	1	yes	characteristic
1754	C₂	#11744355	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3552	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3552	D₇
hypocenter	C₇	#62008
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3552

Complements

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

N	H ≅ G/N	type
1. C₇×#3552	C₂	semidirect
2. #11743229	C₂	semidirect
3. #11741137	C₂	semidirect
4. #11741132	C₂	semidirect
5. #11741117	C₂	semidirect
6. #11741114	C₂	semidirect
7. D₄×#1143	C₂	semidirect
8. #11741004	C₂	semidirect
9. #11741004	C₂	semidirect
10. #11740998	C₂	semidirect
11. #11740997	C₂	semidirect
12. #11740995	C₂	semidirect
13. #11740990	C₂	semidirect
14. #11740987	C₂	semidirect
15. #11740981	C₂	semidirect
16. #11740979	C₂	semidirect
17. #11740967	C₂	semidirect
18. #11740957	C₂	semidirect
19. #11740895	C₂	semidirect
20. #11740894	C₂	semidirect
21. #11740892	C₂	semidirect
22. #11740891	C₂	semidirect
23. #11740855	C₂	semidirect
24. #11740854	C₂	semidirect
25. #11740851	C₂	semidirect
26. #11740850	C₂	semidirect
27. #11740659	C₂	semidirect
28. C₂×#89855	C₂	semidirect
29. #11740594	C₂	semidirect
30. #11740588	C₂	semidirect
31. #11740575	C₂	semidirect
34. C₇×#557	C₂²	semidirect
35. C₇×#556	C₂²	semidirect
39. C₇×D₄×Q₈	C₂²	semidirect
40. C₇×D₄×Q₈	C₂²	semidirect
42. C₇×#548	C₂²	semidirect
43. C₇×#547	C₂²	semidirect
46. C₇×#541	C₂²	semidirect
47. C₇×#541	C₂²	semidirect
50. C₇×#536	C₂²	semidirect
51. C₇×#536	C₂²	semidirect
52. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
54. C₇×#529	C₂²	semidirect
83. #90011	C₂²	semidirect
85. #90010	C₂²	semidirect
86. #90010	C₂²	semidirect
87. #90005	C₂²	semidirect
88. #90004	C₂²	semidirect
89. #90000	C₂²	semidirect
90. #90000	C₂²	semidirect
91. #90000	C₂²	semidirect
95. #89999	C₂²	semidirect
96. #89999	C₂²	semidirect
97. #89997	C₂²	semidirect
98. C₂×#6409	C₂²	semidirect
99. C₂×#6409	C₂²	semidirect
100. C₂×#6409	C₂²	semidirect
101. #89862	C₂²	semidirect
102. #89862	C₂²	semidirect
103. #89862	C₂²	semidirect
104. #89858	C₂²	semidirect
105. #89858	C₂²	semidirect
106. #89858	C₂²	semidirect
114. #89855	C₂²	semidirect
115. #89855	C₂²	semidirect
116. #89855	C₂²	semidirect
117. #89855	C₂²	semidirect
118. #89855	C₂²	semidirect
119. #89855	C₂²	semidirect
120. #89855	C₂²	semidirect
121. #89854	C₂²	semidirect
122. #89854	C₂²	semidirect
123. #89854	C₂²	semidirect
124. #89853	C₂²	semidirect
126. #89838	C₂²	semidirect
127. #89838	C₂²	semidirect
128. #89835	C₂²	semidirect
129. #89831	C₂²	semidirect
134. #89829	C₂²	semidirect
135. #89829	C₂²	semidirect
136. #89829	C₂²	semidirect
137. #89828	C₂²	semidirect
138. #89827	C₂²	semidirect
139. #89826	C₂²	semidirect
140. #89826	C₂²	semidirect
141. #89824	C₂²	semidirect
142. #89823	C₂²	semidirect
143. #89823	C₂²	semidirect
145. #89821	C₂²	semidirect
146. #89821	C₂²	semidirect
149. #89820	C₂²	semidirect
150. #89820	C₂²	semidirect
156. #89817	C₂²	semidirect
157. #89817	C₂²	semidirect
158. #89816	C₂²	semidirect
159. #89815	C₂²	semidirect
160. #89815	C₂²	semidirect
161. #89813	C₂²	semidirect
164. #89805	C₂²	semidirect
165. #89802	C₂²	semidirect
166. C₄×#1144	C₂²	semidirect
167. #89800	C₂²	semidirect
168. #89800	C₂²	semidirect
169. #89800	C₂²	semidirect
175. #89798	C₂²	semidirect
176. #89798	C₂²	semidirect
179. C₄×#1143	C₂²	semidirect
180. #89796	C₂²	semidirect
181. #89796	C₂²	semidirect
182. #89794	C₂²	semidirect
183. #89794	C₂²	semidirect
184. #89794	C₂²	semidirect
185. #89793	C₂²	semidirect
186. #89792	C₂²	semidirect
187. #89788	C₂²	semidirect
189. #89786	C₂²	semidirect
191. #89783	C₂²	semidirect
192. #89783	C₂²	semidirect
193. #89783	C₂²	semidirect
195. D₄×C₇⋊C₈	C₂²	semidirect
196. #89781	C₂²	semidirect
197. #89772	C₂²	semidirect
198. #89772	C₂²	semidirect
199. #89771	C₂²	semidirect
200. #89771	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
485. #3552	D₇	semidirect
747. #557	C₂×D₇	semidirect
748. #556	C₂×D₇	semidirect
758. D₄×Q₈	C₂×D₇	semidirect
759. D₄×Q₈	C₂×D₇	semidirect
761. #548	C₂×D₇	semidirect
763. #547	C₂×D₇	semidirect
771. #541	C₂×D₇	semidirect
772. #541	C₂×D₇	semidirect
778. #536	C₂×D₇	semidirect
779. #536	C₂×D₇	semidirect
780. C₂×C₄⋊Q₈	C₂×D₇	semidirect
783. #529	C₂×D₇	semidirect
1695. C₇	#62008	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3552	2
#11743229	2
#11741137	2
#11741132	2
#11741117	2
#11741114	2
D₄×#1143	2
#11741004	2
#11740998	2
#11740997	2
#11740995	2
#11740990	2
#11740987	2
#11740981	2
#11740979	2
#11740967	2
#11740957	2
#11740895	2
#11740894	2
#11740892	2
#11740891	2
#11740855	2
#11740854	2
#11740851	2
#11740850	2
#11740659	2
C₂×#89855	2
#11740594	2
#11740588	2
#11740575	2
#62008	7