Subgroups — #27101951

Order 12032.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257681	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255704	C₂	1	1	yes	maximal, characteristic, complemented
3	#20255589	C₂	1	1	yes	maximal, characteristic, complemented
4	#20255484	C₂	1	1	yes	maximal, characteristic, complemented
5	#20255469	C₂	1	1	yes	maximal, characteristic, complemented
6	#20255424	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255364	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255305	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255223	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255106	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255091	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255030	C₂	1	1	yes	maximal, characteristic, complemented
13	#20255015	C₂	1	1	yes	maximal, characteristic, complemented
14	#20254939	C₂	1	1	yes	maximal, characteristic, complemented
15	#20254939	C₂	1	1	yes	maximal, characteristic, complemented
16	#20254909	C₂	1	1	yes	maximal, characteristic, complemented
17	#20254894	C₂	1	1	yes	maximal, characteristic, complemented
18	#20254497	C₂	1	1	yes	maximal, characteristic, complemented
19	#20254471	C₂	1	1	yes	maximal, characteristic, complemented
20	#20254279	C₂	1	1	yes	maximal, characteristic, complemented
21	#20254270	C₂	1	1	yes	maximal, characteristic, complemented
22	#20254225	C₂	1	1	yes	maximal, characteristic, complemented
23	#20254165	C₂	1	1	yes	maximal, characteristic, complemented
24	#20253640	C₂	1	1	yes	maximal, characteristic, complemented
25	#20253572	C₂	1	1	yes	maximal, characteristic, complemented
26	#20252692	C₂	1	1	yes	maximal, characteristic, complemented
27	#20252665	C₂	1	1	yes	maximal, characteristic, complemented
28	#20252648	C₂	1	1	yes	maximal, characteristic, complemented
29	#20252606	C₂	1	1	yes	maximal, characteristic, complemented
30	#20252436	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#3485	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094054	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13094054	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13094054	C₂²	1	1	yes	characteristic, complemented
35	C₂×#13094050	C₂²	1	1	yes	characteristic, complemented
36	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#10625335	C₂²	1	1	yes	characteristic, complemented
40	#15689874	—	2	1	no	—
41	#15689868	—	2	1	no	—
42	#15689843	C₂²	1	1	yes	characteristic, complemented
43	#15689830	C₂²	1	1	yes	characteristic, complemented
44	#15689827	—	2	1	no	—
45	#15689819	C₂²	1	1	yes	characteristic, complemented
46	#15689816	—	2	1	no	—
47	#15689813	C₂²	1	1	yes	characteristic, complemented
48	D₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
49	#15689782	C₂²	1	1	yes	characteristic, complemented
50	#15689782	C₂²	1	1	yes	characteristic, complemented
51	#15689778	C₂²	1	1	yes	characteristic, complemented
52	#15689744	C₂²	1	1	yes	characteristic, complemented
53	#15689741	—	2	1	no	—
54	#15689735	C₂²	1	1	yes	characteristic, complemented
55	#15689716	—	2	1	no	—
56	#15689708	—	2	1	no	—
57	#15689708	—	2	1	no	—
58	#15689701	C₂²	1	1	yes	characteristic
59	#15689694	C₂²	1	1	yes	characteristic
60	#15689634	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
62	#15689518	C₂²	1	1	yes	characteristic, complemented
63	#15689515	C₂²	1	1	yes	characteristic, complemented
64	#15689505	C₂²	1	1	yes	characteristic, complemented
65	#15689502	C₂²	1	1	yes	characteristic, complemented
66	#15689491	C₂²	1	1	yes	characteristic, complemented
67	#15689482	C₂²	1	1	yes	characteristic, complemented
68	#15689477	C₂²	1	1	yes	characteristic, complemented
69	#15689473	C₂²	1	1	yes	characteristic, complemented
70	#15689464	C₂²	1	1	yes	characteristic, complemented
71	#15689464	C₂²	1	1	yes	characteristic, complemented
72	#15689464	C₂²	1	1	yes	characteristic, complemented
73	#15689461	C₂²	1	1	yes	characteristic, complemented
74	#15689461	C₂²	1	1	yes	characteristic, complemented
75	#15689461	C₂²	1	1	yes	characteristic, complemented
76	#15689456	C₂²	1	1	yes	characteristic, complemented
77	#15689451	C₂²	1	1	yes	characteristic, complemented
78	#15689451	C₂²	1	1	yes	characteristic, complemented
79	#15689447	C₂²	1	1	yes	characteristic, complemented
80	#15689444	C₂²	1	1	yes	characteristic, complemented
81	#15689434	C₂²	1	1	yes	characteristic, complemented
82	#15689423	C₂²	1	1	yes	characteristic, complemented
83	#15689423	C₂²	1	1	yes	characteristic, complemented
84	#15689413	C₂²	1	1	yes	characteristic, complemented
85	#15689403	C₂²	1	1	yes	characteristic, complemented
86	#15689379	C₂²	1	1	yes	characteristic, complemented
87	#15689379	C₂²	1	1	yes	characteristic, complemented
88	#15689379	C₂²	1	1	yes	characteristic, complemented
89	#15689379	C₂²	1	1	yes	characteristic, complemented
90	#15689374	C₂²	1	1	yes	characteristic, complemented
91	#15689371	C₂²	1	1	yes	characteristic, complemented
92	#15689371	C₂²	1	1	yes	characteristic, complemented
93	#15689367	C₂²	1	1	yes	characteristic, complemented
94	#15689362	C₂²	1	1	yes	characteristic, complemented
95	#15689362	C₂²	1	1	yes	characteristic, complemented
96	#15689362	C₂²	1	1	yes	characteristic, complemented
97	#15689362	C₂²	1	1	yes	characteristic, complemented
98	#15689362	C₂²	1	1	yes	characteristic, complemented
99	#15689354	C₂²	1	1	yes	characteristic, complemented
100	#15689350	C₂²	1	1	yes	characteristic, complemented
101	#15689350	C₂²	1	1	yes	characteristic, complemented
102	#15689342	C₂²	1	1	yes	characteristic, complemented
103	#15689342	C₂²	1	1	yes	characteristic, complemented
104	#15689342	C₂²	1	1	yes	characteristic, complemented
105	#15689338	C₂²	1	1	yes	characteristic, complemented
106	#15689338	C₂²	1	1	yes	characteristic, complemented
107	#15689335	C₂²	1	1	yes	characteristic, complemented
108	#15689330	C₂²	1	1	yes	characteristic, complemented
109	#15689330	C₂²	1	1	yes	characteristic, complemented
110	#15689330	C₂²	1	1	yes	characteristic, complemented
111	#15689328	C₂²	1	1	yes	characteristic, complemented
112	#15689328	C₂²	1	1	yes	characteristic, complemented
113	#15689325	C₂²	1	1	yes	characteristic, complemented
114	#15689285	C₂²	1	1	yes	characteristic
115	#15689285	C₂²	1	1	yes	characteristic
116	#15689285	C₂²	1	1	yes	characteristic
117	#15689285	C₂²	1	1	yes	characteristic, complemented
118	#15689285	C₂²	1	1	yes	characteristic, complemented
119	#15689285	C₂²	1	1	yes	characteristic, complemented
120	#15689285	C₂²	1	1	yes	characteristic, complemented
121	#15689285	C₂²	1	1	yes	characteristic, complemented
122	#15689285	C₂²	1	1	yes	characteristic, complemented
123	#15689285	C₂²	1	1	yes	characteristic, complemented
124	#15689285	C₂²	1	1	yes	characteristic, complemented
125	#15689285	C₂²	1	1	yes	characteristic, complemented
126	#15689283	C₂²	1	1	yes	characteristic, complemented
127	#15689283	C₂²	1	1	yes	characteristic, complemented
128	#15689283	C₂²	1	1	yes	characteristic, complemented
129	#15689279	C₂²	1	1	yes	characteristic, complemented
130	#15689279	C₂²	1	1	yes	characteristic, complemented
131	#15689279	C₂²	1	1	yes	characteristic, complemented
132	#15689278	C₂²	1	1	yes	characteristic, complemented
133	#15689278	C₂²	1	1	yes	characteristic, complemented
134	#15689278	C₂²	1	1	yes	characteristic, complemented
135	#15689274	C₂²	1	1	yes	characteristic
136	#15689274	C₂²	1	1	yes	characteristic
137	#15689274	C₂²	1	1	yes	characteristic
138	#15689274	C₂²	1	1	yes	characteristic, complemented
139	#15689274	C₂²	1	1	yes	characteristic, complemented
140	#15689274	C₂²	1	1	yes	characteristic, complemented
141	#15689268	C₂²	1	1	yes	characteristic
142	#15689268	C₂²	1	1	yes	characteristic, complemented
143	#15689268	C₂²	1	1	yes	characteristic, complemented
144	#15689268	C₂²	1	1	yes	characteristic, complemented
145	#15689266	C₂²	1	1	yes	characteristic, complemented
146	#15689262	C₂²	1	1	yes	characteristic, complemented
147	#15689261	C₂²	1	1	yes	characteristic, complemented
148	#15689257	C₂²	1	1	yes	characteristic
149	#15689257	C₂²	1	1	yes	characteristic, complemented
150	#15689233	C₂²	1	1	yes	characteristic, complemented
151	#15689223	C₂²	1	1	yes	characteristic, complemented
152	#15689223	C₂²	1	1	yes	characteristic, complemented
153	#15689223	C₂²	1	1	yes	characteristic, complemented
154	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
155	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
156	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
157	C₄×#10625334	C₂²	1	1	yes	characteristic, complemented
158	#15689201	C₂²	1	1	yes	characteristic, complemented
159	#15689201	C₂²	1	1	yes	characteristic, complemented
160	#15689195	C₂²	1	1	yes	characteristic, complemented
161	#15689195	C₂²	1	1	yes	characteristic, complemented
162	#15689195	C₂²	1	1	yes	characteristic, complemented
163	#15689195	C₂²	1	1	yes	characteristic, complemented
164	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
165	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	#15689184	C₂²	1	1	yes	characteristic, complemented
167	#15689184	C₂²	1	1	yes	characteristic, complemented
168	#15689128	C₂²	1	1	yes	characteristic, complemented
169	#15689124	C₂²	1	1	yes	characteristic, complemented
170	#15689124	C₂²	1	1	yes	characteristic, complemented
171	#15689124	C₂²	1	1	yes	characteristic, complemented
172	#15689119	C₂²	1	1	yes	characteristic, complemented
173	#15689119	C₂²	1	1	yes	characteristic, complemented
174	#15689119	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
176	#15689090	C₂²	1	1	yes	characteristic
177	#15689090	C₂²	1	1	yes	characteristic
178	#15689087	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
180	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	1	yes	characteristic
181	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
182	C₄₇×#547	—	2	1	no	—
183	C₄₇×#547	—	2	1	no	—
184	C₄₇×#547	C₂²	1	1	yes	characteristic
185	C₄₇×#547	C₂²	1	1	yes	characteristic
186	C₄₇×#547	C₂²	1	1	yes	characteristic
187	C₄₇×#547	C₂²	1	1	yes	characteristic
188	C₄₇×#546	—	2	1	no	—
189	C₄₇×#546	—	2	1	no	—
190	C₄₇×#546	C₂²	1	1	yes	characteristic
191	C₄₇×#546	C₂²	1	1	yes	characteristic
192	C₄₇×#546	C₂²	1	1	yes	characteristic
193	C₄₇×#546	C₂²	1	1	yes	characteristic
194	C₄₇×#536	C₂²	1	1	yes	characteristic
195	C₄₇×#536	C₂²	1	1	yes	characteristic
196	C₄₇×#534	—	2	1	no	—
197	C₄₇×#534	—	2	1	no	—
198	C₄₇×#525	C₂²	1	1	yes	characteristic
199	C₄₇×#525	C₂²	1	1	yes	characteristic
200	C₂×#123×C₄₇	—	2	1	no	—
201	C₂×#123×C₄₇	—	2	1	no	—
202	C₄₇×#518	C₂²	1	1	yes	characteristic
203	C₂×#10625350	C₂³	1	1	yes	characteristic
204	C₂×#10625350	C₂³	1	1	yes	characteristic
205	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
206	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
207	#13094054	—	4	2	no	—
208	#13094054	—	4	2	no	—
209	#13094054	—	4	2	no	—
210	#13094050	—	4	2	no	—
211	#13094044	—	4	2	no	—
212	#13094044	—	4	2	no	—
213	#13094044	—	4	2	no	—
214	C₂×#10625337	C₂³	1	1	yes	characteristic
215	C₂×#10625337	C₂³	1	1	yes	characteristic
216	C₂×#10625337	C₂³	1	1	yes	characteristic
217	C₂×#10625337	C₂³	1	1	yes	characteristic
218	C₂×#10625337	C₂³	1	1	yes	characteristic
219	C₂×#10625337	C₂³	1	1	yes	characteristic
220	C₂×#10625337	C₂³	1	1	yes	characteristic
221	C₂×#10625337	C₂³	1	1	yes	characteristic
222	C₂×#10625337	C₂³	1	1	yes	characteristic
223	C₂×#10625335	—	4	2	no	—
224	C₂×#10625335	C₂³	1	1	yes	characteristic
225	C₂×#10625335	C₂³	1	1	yes	characteristic
226	C₂×#10625335	C₂³	1	1	yes	characteristic
227	C₂×#10625335	C₂³	1	1	yes	characteristic
228	C₂×#10625335	C₂³	1	1	yes	characteristic
229	C₂×#10625335	C₂³	1	1	yes	characteristic
230	C₂×#10625335	C₂³	1	1	yes	characteristic
231	C₂×#10625335	C₂³	1	1	yes	characteristic
232	C₂×#10625335	C₂³	1	1	yes	characteristic
233	C₂×#10625336	C₂³	1	1	yes	characteristic
234	C₂×#10625336	C₂³	1	1	yes	characteristic
235	C₂×#10625336	C₂³	1	1	yes	characteristic
236	C₂×#10625334	C₂³	1	1	yes	characteristic
237	C₂×#10625334	C₂³	1	1	yes	characteristic
238	C₂×#10625334	C₂³	1	1	yes	characteristic
239	C₂×#10625329	C₂³	1	1	yes	characteristic
240	C₂×#10625329	C₂³	1	1	yes	characteristic
241	C₂×#10625329	C₂³	1	1	yes	characteristic
242	C₂×#10625329	C₂³	1	1	yes	characteristic
243	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
244	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
245	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
246	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
247	#13094024	C₂³	1	1	yes	characteristic
248	#13094024	C₂³	1	1	yes	characteristic
249	#13094023	—	2	1	no	—
250	#13094022	—	2	1	no	—
251	#13094019	—	2	1	no	—
252	#13094019	—	2	1	no	—
253	#13094017	—	2	1	no	—
254	#13094017	—	2	1	no	—
255	#13094017	—	2	1	no	—
256	#13094017	—	2	1	no	—
257	#13094017	—	2	1	no	—
258	#13094016	C₂³	1	1	yes	characteristic
259	#13094015	—	2	1	no	—
260	#13094014	—	2	1	no	—
261	#13094014	—	2	1	no	—
262	#13094014	—	2	1	no	—
263	#13094012	C₂³	1	1	yes	characteristic
264	#13094011	—	2	1	no	—
265	#13094011	—	2	1	no	—
266	#13094010	—	2	1	no	—
267	#13094010	—	2	1	no	—
268	#13094010	—	2	1	no	—
269	#13094007	—	2	1	no	—
270	#13094006	—	2	1	no	—
271	#13094006	—	2	1	no	—
272	#13094006	—	2	1	no	—
273	#13094006	—	2	1	no	—
274	#13094005	—	2	1	no	—
275	#13094005	—	2	1	no	—
276	#13094005	—	2	1	no	—
277	#13094003	—	2	1	no	—
278	#13094003	—	2	1	no	—
279	#13094003	C₂³	1	1	yes	characteristic
280	#13094003	C₂³	1	1	yes	characteristic
281	#13094003	C₂³	1	1	yes	characteristic
282	#13094003	C₂³	1	1	yes	characteristic
283	#13094003	C₂³	1	1	yes	characteristic
284	#13094003	C₂³	1	1	yes	characteristic
285	#13094003	C₂³	1	1	yes	characteristic
286	#13094003	C₂³	1	1	yes	characteristic
287	#13094003	C₂³	1	1	yes	characteristic
288	#13094002	—	2	1	no	—
289	#13094002	—	2	1	no	—
290	#13094002	—	2	1	no	—
291	#13094001	—	2	1	no	—
292	#13094001	—	2	1	no	—
293	#13094001	—	2	1	no	—
294	#13094001	—	2	1	no	—
295	#13094000	—	2	1	no	—
296	#13093998	C₂³	1	1	yes	characteristic
297	#13093998	C₂³	1	1	yes	characteristic
298	#13093998	C₂³	1	1	yes	characteristic
299	#13093996	—	2	1	no	—
300	#13093996	—	2	1	no	—
301	#13093996	—	2	1	no	—
302	#13093996	—	2	1	no	—
303	#13093996	—	2	1	no	—
304	#13093995	—	2	1	no	—
305	#13093995	—	2	1	no	—
306	#13093993	—	2	1	no	—
307	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
308	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
309	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
310	#13093989	—	2	1	no	—
311	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
312	D₄×Dic₄₇	—	2	1	no	—
313	D₄×Dic₄₇	—	2	1	no	—
314	C₄×C₂²⋊D₄₇	—	2	1	no	—
315	C₄×C₂²⋊D₄₇	—	2	1	no	—
316	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
317	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
318	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
319	#13093983	C₂³	1	1	yes	characteristic
320	#13093983	C₂³	1	1	yes	characteristic
321	#13093980	—	2	1	no	—
322	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
324	C₂×Dic₄₇⋊C₄	—	2	1	no	—
325	C₄⋊C₄×D₄₇	—	2	1	no	—
326	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
327	#13093957	C₂³	1	1	yes	characteristic
328	#13093957	C₂³	1	1	yes	characteristic
329	#13093957	C₂³	1	1	yes	characteristic
330	#13093957	C₂³	1	1	yes	characteristic
331	#13093955	C₂³	1	1	yes	characteristic
332	#13093955	C₂³	1	1	yes	characteristic
333	#13093955	C₂³	1	1	yes	characteristic
334	#13093955	C₂³	1	1	yes	characteristic
335	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
336	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
337	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
338	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
339	#13093948	C₂³	1	1	yes	characteristic
340	#13093948	C₂³	1	1	yes	characteristic
341	#13093948	C₂³	1	1	yes	characteristic
342	#13093948	C₂³	1	1	yes	characteristic
343	#13093948	C₂³	1	1	yes	characteristic
344	#13093948	C₂³	1	1	yes	characteristic
345	#13093948	C₂³	1	1	yes	characteristic
346	#13093948	C₂³	1	1	yes	characteristic
347	#13093948	C₂³	1	1	yes	characteristic
348	#13093948	C₂³	1	1	yes	characteristic
349	#13093948	C₂³	1	1	yes	characteristic
350	#13093948	C₂³	1	1	yes	characteristic
351	#13093947	C₂³	1	1	yes	characteristic
352	#13093947	C₂³	1	1	yes	characteristic
353	#13093947	C₂³	1	1	yes	characteristic
354	#13093947	C₂³	1	1	yes	characteristic
355	#13093947	C₂³	1	1	yes	characteristic
356	#13093947	C₂³	1	1	yes	characteristic
357	#13093945	C₂³	1	1	yes	characteristic
358	#13093945	C₂³	1	1	yes	characteristic
359	#13093945	C₂³	1	1	yes	characteristic
360	#13093945	C₂³	1	1	yes	characteristic
361	#13093945	C₂³	1	1	yes	characteristic
362	#13093945	C₂³	1	1	yes	characteristic
363	#13093945	C₂³	1	1	yes	characteristic
364	#13093945	C₂³	1	1	yes	characteristic
365	#13093945	C₂³	1	1	yes	characteristic
366	#13093945	C₂³	1	1	yes	characteristic
367	#13093945	C₂³	1	1	yes	characteristic
368	#13093945	C₂³	1	1	yes	characteristic
369	#13093944	C₂³	1	1	yes	characteristic
370	#13093944	C₂³	1	1	yes	characteristic
371	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
372	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
373	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
374	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
375	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
376	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
377	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
378	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
379	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
380	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
381	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
382	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
383	#13093935	C₂³	1	1	yes	characteristic
384	#13093935	C₂³	1	1	yes	characteristic
385	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
386	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
387	H(5,𝔽₂)×C₄₇	—	4	2	no	—
388	H(5,𝔽₂)×C₄₇	—	4	2	no	—
389	C₂×#41×C₄₇	—	2	1	no	—
390	C₂×#41×C₄₇	—	2	1	no	—
391	C₂×#41×C₄₇	—	2	1	no	—
392	C₂×#41×C₄₇	—	4	2	no	—
393	C₂×#41×C₄₇	—	4	2	no	—
394	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
395	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
396	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
397	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
398	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
399	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
400	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
401	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
402	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
403	C₂²×D₄×C₄₇	—	2	1	no	—
404	C₂²×D₄×C₄₇	—	2	1	no	—
405	C₂²×D₄×C₄₇	—	2	1	no	—
406	C₂²×D₄×C₄₇	—	2	1	no	—
407	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
408	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
409	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
410	C₂³×C₄×C₄₇	—	2	1	no	—
411	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
412	C₄⋊Q₈×C₄₇	—	2	1	no	—
413	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
414	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
415	#124×C₄₇	—	2	1	no	—
416	#124×C₄₇	C₂³	1	1	yes	characteristic
417	#124×C₄₇	C₂³	1	1	yes	characteristic
418	#123×C₄₇	—	2	1	no	—
419	#123×C₄₇	—	2	1	no	—
420	#123×C₄₇	—	2	1	no	—
421	#123×C₄₇	—	2	1	no	—
422	#123×C₄₇	—	2	1	no	—
423	#123×C₄₇	—	2	1	no	—
424	#123×C₄₇	—	2	1	no	—
425	#123×C₄₇	—	2	1	no	—
426	#123×C₄₇	—	2	1	no	—
427	#123×C₄₇	—	2	1	no	—
428	#123×C₄₇	—	2	1	no	—
429	#123×C₄₇	—	2	1	no	—
430	#123×C₄₇	—	2	1	no	—
431	#123×C₄₇	—	2	1	no	—
432	#123×C₄₇	—	2	1	no	—
433	#123×C₄₇	—	2	1	no	—
434	#123×C₄₇	—	2	1	no	—
435	#123×C₄₇	D₄	1	1	yes	characteristic
436	#123×C₄₇	D₄	1	1	yes	characteristic
437	C₂²⋊Q₈×C₄₇	—	2	1	no	—
438	C₂²⋊Q₈×C₄₇	—	2	1	no	—
439	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
440	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
441	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
442	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
443	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
444	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
445	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
446	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
447	#121×C₄₇	—	2	1	no	—
448	#121×C₄₇	—	2	1	no	—
449	#121×C₄₇	—	2	1	no	—
450	#121×C₄₇	—	2	1	no	—
451	#121×C₄₇	—	2	1	no	—
452	#121×C₄₇	—	2	1	no	—
453	#121×C₄₇	—	2	1	no	—
454	#121×C₄₇	—	2	1	no	—
455	#121×C₄₇	D₄	1	1	yes	characteristic
456	#121×C₄₇	D₄	1	1	yes	characteristic
457	#121×C₄₇	C₂³	1	1	yes	characteristic
458	#121×C₄₇	C₂³	1	1	yes	characteristic
459	#120×C₄₇	—	2	1	no	—
460	#120×C₄₇	—	2	1	no	—
461	#120×C₄₇	—	2	1	no	—
462	#120×C₄₇	—	2	1	no	—
463	#120×C₄₇	—	2	1	no	—
464	#120×C₄₇	D₄	1	1	yes	characteristic
465	#120×C₄₇	D₄	1	1	yes	characteristic
466	C₄×D₄×C₄₇	—	2	1	no	—
467	C₄×D₄×C₄₇	—	2	1	no	—
468	C₄×D₄×C₄₇	—	2	1	no	—
469	C₄×D₄×C₄₇	—	2	1	no	—
470	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
471	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
472	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
473	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
474	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
475	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
476	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
477	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
478	#117×C₄₇	C₂³	1	1	yes	characteristic
479	#117×C₄₇	C₂³	1	1	yes	characteristic
480	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
481	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
482	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
483	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
484	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
485	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
486	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
487	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
488	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
489	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
490	C₂⁴×C₄₇	—	2	1	no	—
491	C₂⁴×C₄₇	—	2	1	no	—
492	C₂⁴×C₄₇	—	2	1	no	—
493	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
494	#41×C₄₇	—	2	2	no	—
495	#41×C₄₇	—	2	2	no	—
496	#41×C₄₇	—	2	2	no	—
497	#41×C₄₇	—	2	2	no	—
498	#41×C₄₇	—	2	2	no	—
499	#41×C₄₇	—	2	2	no	—
500	#41×C₄₇	—	4	1	no	—
501	#41×C₄₇	—	4	1	no	—
502	#41×C₄₇	—	4	1	no	—
503	#41×C₄₇	—	4	1	no	—
504	#41×C₄₇	—	4	1	no	—
505	#41×C₄₇	—	4	1	no	—
506	#41×C₄₇	—	4	1	no	—
507	#41×C₄₇	—	4	1	no	—
508	#41×C₄₇	—	4	1	no	—
509	#41×C₄₇	—	4	1	no	—
510	#41×C₄₇	—	4	4	no	—
511	#41×C₄₇	—	4	4	no	—
512	#41×C₄₇	—	4	4	no	—
513	C₂×Q₈×C₄₇	—	2	1	no	—
514	C₂×Q₈×C₄₇	—	4	1	no	—
515	C₂×Q₈×C₄₇	—	4	1	no	—
516	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
517	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
518	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
519	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₄₇	—	2	2	no	—
521	C₂×D₄×C₄₇	—	2	2	no	—
522	C₂×D₄×C₄₇	—	2	2	no	—
523	C₂×D₄×C₄₇	—	2	2	no	—
524	C₂×D₄×C₄₇	—	2	1	no	—
525	C₂×D₄×C₄₇	—	2	1	no	—
526	C₂×D₄×C₄₇	—	2	1	no	—
527	C₂×D₄×C₄₇	—	2	1	no	—
528	C₂×D₄×C₄₇	—	2	1	no	—
529	C₂×D₄×C₄₇	—	2	1	no	—
530	C₂×D₄×C₄₇	—	2	1	no	—
531	C₂×D₄×C₄₇	—	2	1	no	—
532	C₂×D₄×C₄₇	—	2	1	no	—
533	C₂×D₄×C₄₇	—	2	1	no	—
534	C₂×D₄×C₄₇	—	2	1	no	—
535	C₂×D₄×C₄₇	—	2	1	no	—
536	C₂×D₄×C₄₇	—	4	1	no	—
537	C₂×D₄×C₄₇	—	4	1	no	—
538	C₂×D₄×C₄₇	—	4	4	no	—
539	C₂×D₄×C₄₇	—	4	4	no	—
540	C₂×D₄×C₄₇	—	4	4	no	—
541	C₂×D₄×C₄₇	—	4	4	no	—
542	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
543	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
544	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
545	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
546	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
547	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
548	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
549	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
550	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
551	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₄₇	—	2	1	no	—
553	C₂²×C₄×C₄₇	—	2	1	no	—
554	C₂²×C₄×C₄₇	—	2	1	no	—
555	C₂²×C₄×C₄₇	—	2	1	no	—
556	C₂²×C₄×C₄₇	—	2	1	no	—
557	C₂²×C₄×C₄₇	—	2	1	no	—
558	C₂²×C₄×C₄₇	—	2	1	no	—
559	C₂²×C₄×C₄₇	—	2	1	no	—
560	C₂²×C₄×C₄₇	—	2	1	no	—
561	C₂²×C₄×C₄₇	—	2	1	no	—
562	C₂²×C₄×C₄₇	—	2	1	no	—
563	C₂²×C₄×C₄₇	—	2	1	no	—
564	C₂²×C₄×C₄₇	—	4	1	no	—
565	C₂²×C₄×C₄₇	—	4	1	no	—
566	C₂²×C₄×C₄₇	—	4	4	no	—
567	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
568	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
575	C₂×C₂²⋊D₄₇	—	2	1	no	—
576	C₂×C₂²⋊D₄₇	—	2	1	no	—
577	C₂×C₂²⋊D₄₇	—	2	1	no	—
578	C₂×C₂²⋊D₄₇	—	2	1	no	—
579	C₂×C₂²⋊D₄₇	—	2	1	no	—
580	C₂²×Dic₄₇	—	2	1	no	—
581	C₂²×Dic₄₇	—	2	1	no	—
582	C₂²×Dic₄₇	—	2	1	no	—
583	C₂²×Dic₄₇	—	2	1	no	—
584	#10625350	—	4	1	no	—
585	#10625350	—	4	1	no	—
586	#10625350	—	4	1	no	—
587	#10625350	—	4	1	no	—
588	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₄×D₄₇	—	2	1	no	—
590	C₂×C₄×D₄₇	—	2	1	no	—
591	C₂×C₄×D₄₇	—	2	1	no	—
592	C₂×Dic₉₄	—	2	1	no	—
593	C₂×Dic₉₄	—	2	1	no	—
594	C₂×Dic₉₄	—	2	1	no	—
595	C₂×Dic₉₄	—	4	1	no	—
596	C₂×Dic₉₄	—	4	1	no	—
597	C₂×Dic₉₄	—	4	1	no	—
598	C₂×Dic₉₄	—	4	1	no	—
599	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
602	C₄⋊C₄×C₄₇	—	2	1	no	—
603	C₄⋊C₄×C₄₇	—	2	1	no	—
604	C₄⋊C₄×C₄₇	—	2	1	no	—
605	C₄⋊C₄×C₄₇	—	2	1	no	—
606	C₄⋊C₄×C₄₇	—	2	1	no	—
607	C₄⋊C₄×C₄₇	—	2	1	no	—
608	C₄⋊C₄×C₄₇	—	2	1	no	—
609	C₄⋊C₄×C₄₇	—	2	1	no	—
610	C₄⋊C₄×C₄₇	—	2	1	no	—
611	C₄⋊C₄×C₄₇	—	2	1	no	—
612	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
613	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
614	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
615	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
616	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
617	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
618	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
620	C₂²⋊C₄×C₄₇	—	2	1	no	—
621	C₂²⋊C₄×C₄₇	—	2	1	no	—
622	C₂²⋊C₄×C₄₇	—	2	1	no	—
623	C₂²⋊C₄×C₄₇	—	2	1	no	—
624	C₂²⋊C₄×C₄₇	—	2	1	no	—
625	C₂²⋊C₄×C₄₇	—	2	1	no	—
626	C₂²⋊C₄×C₄₇	—	2	1	no	—
627	C₂²⋊C₄×C₄₇	—	2	1	no	—
628	C₂²⋊C₄×C₄₇	—	2	1	no	—
629	C₂²⋊C₄×C₄₇	—	2	1	no	—
630	C₂²⋊C₄×C₄₇	—	2	1	no	—
631	C₂²⋊C₄×C₄₇	—	2	1	no	—
632	C₂²⋊C₄×C₄₇	—	2	1	no	—
633	C₂²⋊C₄×C₄₇	—	2	1	no	—
634	C₂²⋊C₄×C₄₇	—	2	1	no	—
635	C₂²⋊C₄×C₄₇	—	2	1	no	—
636	C₂²⋊C₄×C₄₇	—	2	1	no	—
637	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
638	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
639	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
641	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
642	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
643	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
644	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
646	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
647	C₄²×C₄₇	—	2	1	no	—
648	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
649	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
650	C₂²⋊Dic₄₇	—	2	1	no	—
651	C₂²⋊Dic₄₇	—	2	1	no	—
652	C₂²⋊Dic₄₇	—	2	1	no	—
653	C₂²⋊Dic₄₇	—	2	1	no	—
654	C₂²⋊Dic₄₇	—	2	1	no	—
655	C₂²⋊Dic₄₇	—	2	1	no	—
656	C₂²⋊Dic₄₇	—	2	1	no	—
657	C₂²⋊Dic₄₇	—	2	1	no	—
658	C₂²⋊Dic₄₇	—	2	1	no	—
659	C₂²⋊Dic₄₇	—	2	1	no	—
660	C₂²⋊Dic₄₇	—	2	1	no	—
661	#10625337	—	4	1	no	—
662	#10625337	—	4	1	no	—
663	#10625337	—	4	1	no	—
664	#10625337	—	4	1	no	—
665	#10625337	—	4	1	no	—
666	#10625337	—	4	1	no	—
667	#10625337	—	4	1	no	—
668	#10625337	—	4	1	no	—
669	#10625337	—	4	1	no	—
670	#10625336	—	4	1	no	—
671	#10625336	—	4	1	no	—
672	#10625336	—	4	1	no	—
673	#10625335	—	2	2	no	—
674	#10625335	—	2	2	no	—
675	#10625335	—	2	2	no	—
676	#10625335	—	2	2	no	—
677	#10625335	—	2	2	no	—
678	#10625335	—	2	2	no	—
679	#10625335	—	4	1	no	—
680	#10625335	—	4	1	no	—
681	#10625335	—	4	1	no	—
682	#10625334	—	2	2	no	—
683	#10625334	—	2	2	no	—
684	#10625334	—	4	1	no	—
685	(C₂×D₄₇)⋊C₄	—	2	1	no	—
686	(C₂×D₄₇)⋊C₄	—	2	1	no	—
687	(C₂×D₄₇)⋊C₄	—	2	1	no	—
688	(C₂×D₄₇)⋊C₄	—	2	1	no	—
689	(C₂×D₄₇)⋊C₄	—	2	1	no	—
690	(C₂×D₄₇)⋊C₄	—	2	1	no	—
691	C₄⋊Dic₄₇	—	2	1	no	—
692	C₄⋊Dic₄₇	—	2	1	no	—
693	C₄⋊Dic₄₇	—	2	1	no	—
694	C₄⋊Dic₄₇	—	2	1	no	—
695	C₄⋊Dic₄₇	—	2	1	no	—
696	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
697	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
700	Dic₄₇⋊C₄	—	2	1	no	—
701	Dic₄₇⋊C₄	—	2	1	no	—
702	Dic₄₇⋊C₄	—	2	1	no	—
703	Dic₄₇⋊C₄	—	2	1	no	—
704	Dic₄₇⋊C₄	—	2	1	no	—
705	Dic₄₇⋊C₄	—	2	1	no	—
706	Dic₄₇⋊C₄	—	2	1	no	—
707	Dic₄₇⋊C₄	—	2	1	no	—
708	Dic₄₇⋊C₄	—	2	1	no	—
709	Dic₄₇⋊C₄	—	2	1	no	—
710	Dic₄₇⋊C₄	—	2	1	no	—
711	Dic₄₇⋊C₄	—	2	1	no	—
712	Dic₄₇⋊C₄	—	2	1	no	—
713	Dic₄₇⋊C₄	—	2	1	no	—
714	C₄×Dic₄₇	—	2	1	no	—
715	C₄×Dic₄₇	—	2	1	no	—
716	C₄×Dic₄₇	—	2	1	no	—
717	C₄×Dic₄₇	—	2	1	no	—
718	C₄×Dic₄₇	—	2	1	no	—
719	#10625329	—	4	1	no	—
720	#10625329	—	4	1	no	—
721	#10625329	—	4	1	no	—
722	#10625329	—	4	1	no	—
723	C₂×C₄₇⋊C₈	—	4	1	no	—
724	C₂×C₄₇⋊C₈	—	4	1	no	—
725	C₂×C₄₇⋊C₈	—	4	1	no	—
726	C₂×C₄₇⋊C₈	—	4	1	no	—
727	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
728	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
729	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
730	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
731	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
732	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
733	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
734	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
735	C₂³×C₄₇	—	2	4	no	—
736	C₂³×C₄₇	—	2	1	no	—
737	C₂³×C₄₇	—	2	1	no	—
738	C₂³×C₄₇	—	2	1	no	—
739	C₂³×C₄₇	—	4	1	no	—
740	C₂³×C₄₇	—	4	1	no	—
741	C₂³×C₄₇	—	4	1	no	—
742	C₂³×C₄₇	—	4	2	no	—
743	C₂³×C₄₇	—	4	2	no	—
744	C₂³×C₄₇	—	8	1	no	—
745	C₂³×C₄₇	—	8	1	no	—
746	C₂³×C₄₇	—	8	1	no	—
747	C₂³×C₄₇	—	8	1	no	—
748	C₂³×C₄₇	—	8	1	no	—
749	C₂³×C₄₇	—	8	1	no	—
750	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
751	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
752	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
753	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
754	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
755	C₂²×D₄₇	—	2	1	no	—
756	Q₈×C₄₇	—	2	1	no	—
757	Q₈×C₄₇	—	2	1	no	—
758	Q₈×C₄₇	—	2	1	no	—
759	Q₈×C₄₇	—	2	1	no	—
760	Q₈×C₄₇	—	2	1	no	—
761	Q₈×C₄₇	—	2	1	no	—
762	Q₈×C₄₇	—	4	1	no	—
763	Q₈×C₄₇	—	4	2	no	—
764	D₄×C₄₇	—	2	4	no	—
765	D₄×C₄₇	—	2	1	no	—
766	D₄×C₄₇	—	2	1	no	—
767	D₄×C₄₇	—	2	1	no	—
768	D₄×C₄₇	—	2	1	no	—
769	D₄×C₄₇	—	4	1	no	—
770	D₄×C₄₇	—	4	1	no	—
771	D₄×C₄₇	—	4	1	no	—
772	D₄×C₄₇	—	4	1	no	—
773	D₄×C₄₇	—	4	1	no	—
774	D₄×C₄₇	—	4	1	no	—
775	D₄×C₄₇	—	4	1	no	—
776	D₄×C₄₇	—	4	2	no	—
777	D₄×C₄₇	—	4	2	no	—
778	D₄×C₄₇	—	4	2	no	—
779	D₄×C₄₇	—	4	2	no	—
780	D₄×C₄₇	—	4	2	no	—
781	D₄×C₄₇	—	4	2	no	—
782	D₄×C₄₇	—	4	2	no	—
783	D₄×C₄₇	—	4	2	no	—
784	D₄×C₄₇	—	4	2	no	—
785	D₄×C₄₇	—	8	1	no	—
786	D₄×C₄₇	—	8	1	no	—
787	D₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
788	D₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
789	C₂×C₄×C₄₇	—	2	1	no	—
790	C₂×C₄×C₄₇	—	2	1	no	—
791	C₂×C₄×C₄₇	—	2	1	no	—
792	C₂×C₄×C₄₇	—	2	1	no	—
793	C₂×C₄×C₄₇	—	2	1	no	—
794	C₂×C₄×C₄₇	—	2	1	no	—
795	C₂×C₄×C₄₇	—	2	1	no	—
796	C₂×C₄×C₄₇	—	2	1	no	—
797	C₂×C₄×C₄₇	—	2	1	no	—
798	C₂×C₄×C₄₇	—	2	1	no	—
799	C₂×C₄×C₄₇	—	2	1	no	—
800	C₂×C₄×C₄₇	—	2	1	no	—
801	C₂×C₄×C₄₇	—	2	1	no	—
802	C₂×C₄×C₄₇	—	2	1	no	—
803	C₂×C₄×C₄₇	—	2	1	no	—
804	C₂×C₄×C₄₇	—	4	1	no	—
805	C₂×C₄×C₄₇	—	4	1	no	—
806	C₂×C₄×C₄₇	—	4	1	no	—
807	C₂×C₄×C₄₇	—	4	2	no	—
808	C₂×C₄×C₄₇	—	4	2	no	—
809	C₂×C₄×C₄₇	—	4	2	no	—
810	C₂×C₄×C₄₇	—	4	2	no	—
811	C₂×C₄×C₄₇	—	4	2	no	—
812	C₂×C₄×C₄₇	—	4	2	no	—
813	C₂×C₄×C₄₇	—	4	2	no	—
814	C₂×C₄×C₄₇	—	4	2	no	—
815	C₂×C₄×C₄₇	—	8	1	no	—
816	C₂×C₄×C₄₇	—	8	1	no	—
817	C₂×C₄×C₄₇	—	8	1	no	—
818	C₂×C₄×C₄₇	—	8	1	no	—
819	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
829	C₂²⋊D₄₇	—	4	2	no	—
830	C₂²⋊D₄₇	—	8	1	no	—
831	C₂²⋊D₄₇	—	8	1	no	—
832	C₂²⋊D₄₇	—	8	1	no	—
833	C₂²⋊D₄₇	—	8	1	no	—
834	C₂×Dic₄₇	—	2	1	no	—
835	C₂×Dic₄₇	—	2	1	no	—
836	C₂×Dic₄₇	—	2	1	no	—
837	C₂×Dic₄₇	—	2	1	no	—
838	C₂×Dic₄₇	—	2	1	no	—
839	C₂×Dic₄₇	—	2	1	no	—
840	C₂×Dic₄₇	—	2	1	no	—
841	C₂×Dic₄₇	—	8	1	no	—
842	C₂×Dic₄₇	—	8	1	no	—
843	C₂×Dic₄₇	—	8	1	no	—
844	C₂×Dic₄₇	—	8	1	no	—
845	D₁₈₈	—	2	1	no	—
846	D₁₈₈	—	2	1	no	—
847	C₄×D₄₇	—	8	1	no	—
848	C₄×D₄₇	—	8	1	no	—
849	C₄×D₄₇	—	8	1	no	—
850	Dic₉₄	—	2	1	no	—
851	Dic₉₄	—	2	1	no	—
852	Dic₉₄	—	2	1	no	—
853	Dic₉₄	—	2	1	no	—
854	Dic₉₄	—	2	1	no	—
855	Dic₉₄	—	2	1	no	—
856	Dic₉₄	—	8	1	no	—
857	Dic₉₄	—	8	1	no	—
858	Dic₉₄	—	8	1	no	—
859	C₄₇⋊C₈	—	2	1	no	—
860	C₄₇⋊C₈	—	2	1	no	—
861	C₄₇⋊C₈	—	2	1	no	—
862	C₄₇⋊C₈	—	2	1	no	—
863	C₄₇⋊C₈	—	2	1	no	—
864	C₄₇⋊C₈	—	2	1	no	—
865	C₄₇⋊C₈	—	2	1	no	—
866	C₄₇⋊C₈	—	2	1	no	—
867	#61613	—	47	1	no	maximal, Sylow
868	C₂²×C₄₇	—	2	1	no	—
869	C₂²×C₄₇	—	2	1	no	—
870	C₂²×C₄₇	—	2	1	no	—
871	C₂²×C₄₇	—	2	1	no	—
872	C₂²×C₄₇	—	2	1	no	—
873	C₂²×C₄₇	—	2	1	no	—
874	C₂²×C₄₇	—	2	1	no	—
875	C₂²×C₄₇	—	2	1	no	—
876	C₂²×C₄₇	—	2	1	no	—
877	C₂²×C₄₇	—	2	1	no	—
878	C₂²×C₄₇	—	2	1	no	—
879	C₂²×C₄₇	—	2	1	no	—
880	C₂²×C₄₇	—	2	1	no	—
881	C₂²×C₄₇	—	2	1	no	—
882	C₂²×C₄₇	—	2	1	no	—
883	C₂²×C₄₇	—	2	2	no	—
884	C₂²×C₄₇	—	2	2	no	—
885	C₂²×C₄₇	—	4	1	no	—
886	C₂²×C₄₇	—	4	1	no	—
887	C₂²×C₄₇	—	4	1	no	—
888	C₂²×C₄₇	—	4	1	no	—
889	C₂²×C₄₇	—	4	1	no	—
890	C₂²×C₄₇	—	4	1	no	—
891	C₂²×C₄₇	—	4	1	no	—
892	C₂²×C₄₇	—	8	4	no	—
893	C₂²×C₄₇	—	8	2	no	—
894	C₂²×C₄₇	—	16	2	no	—
895	C₂²×C₄₇	—	16	2	no	—
896	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
897	C₂×D₄₇	—	4	1	no	—
898	C₂×D₄₇	—	4	1	no	—
899	C₂×D₄₇	—	4	1	no	—
900	C₄×C₄₇	—	2	1	no	—
901	C₄×C₄₇	—	2	1	no	—
902	C₄×C₄₇	—	2	1	no	—
903	C₄×C₄₇	—	2	1	no	—
904	C₄×C₄₇	—	2	1	no	—
905	C₄×C₄₇	—	2	1	no	—
906	C₄×C₄₇	—	2	1	no	—
907	C₄×C₄₇	—	2	1	no	—
908	C₄×C₄₇	—	2	1	no	—
909	C₄×C₄₇	—	4	1	no	—
910	C₄×C₄₇	—	4	1	no	—
911	C₄×C₄₇	—	4	1	no	—
912	C₄×C₄₇	—	4	1	no	—
913	C₄×C₄₇	—	4	1	no	—
914	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
915	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
916	Dic₄₇	—	4	1	no	—
917	Dic₄₇	—	4	1	no	—
918	Dic₄₇	—	4	1	no	—
919	Dic₄₇	—	4	1	no	—
920	Dic₄₇	—	4	1	no	—
921	Dic₄₇	—	4	1	no	—
922	Dic₄₇	—	4	1	no	—
923	#3541	—	47	1	no	—
924	#3485	D₄₇	1	1	yes	characteristic, complemented
925	#3331	—	47	1	no	—
926	#3322	—	47	1	no	—
927	#3315	—	47	1	no	—
928	#3314	—	47	1	no	—
929	#3311	—	47	1	no	—
930	#3307	—	47	1	no	—
931	#3302	—	47	1	no	—
932	#3296	—	47	1	no	—
933	#3283	—	47	1	no	—
934	#3282	—	47	1	no	—
935	#3276	—	47	1	no	—
936	#3275	—	47	1	no	—
937	#3269	—	47	1	no	—
938	#3269	—	47	1	no	—
939	#3267	—	47	1	no	—
940	#3266	—	47	1	no	—
941	#3225	—	47	1	no	—
942	#3223	—	47	1	no	—
943	#3202	—	47	1	no	—
944	#3201	—	47	1	no	—
945	#3197	—	47	1	no	—
946	#3190	—	47	1	no	—
947	#3123	—	47	1	no	—
948	#3118	—	47	1	no	—
949	#3012	—	47	1	no	—
950	#3009	—	47	1	no	—
951	#3007	—	47	1	no	—
952	#3002	—	47	1	no	—
953	#2976	—	47	1	no	—
954	C₂×C₄₇	—	4	1	no	—
955	C₂×C₄₇	—	4	1	no	—
956	C₂×C₄₇	—	4	1	no	—
957	C₂×C₄₇	—	4	1	no	—
958	C₂×C₄₇	—	4	1	no	—
959	C₂×C₄₇	—	4	2	no	—
960	C₂×C₄₇	—	4	2	no	—
961	C₂×C₄₇	—	8	1	no	—
962	C₂×C₄₇	#3484	1	1	yes	characteristic
963	C₂×C₄₇	#3584	1	1	yes	characteristic
964	C₂×C₄₇	#3586	1	1	yes	characteristic
965	D₄₇	—	8	1	no	—
966	C₂×H(5,𝔽₂)	C₂×D₄₇	1	1	yes	characteristic
967	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
968	C₂×#137	—	47	1	no	—
969	C₂×#137	—	47	1	no	—
970	C₂×#137	—	47	1	no	—
971	C₂×AGL(1,ℤ/8)	—	47	1	no	—
972	C₂×#135	—	47	1	no	—
973	C₂×#135	—	47	1	no	—
974	C₂×#135	—	47	1	no	—
975	C₂²×SD₁₆	—	47	1	no	—
976	#563	—	94	1	no	—
977	#562	—	94	1	no	—
978	#556	—	47	1	no	—
979	#554	—	47	1	no	—
980	#554	—	94	1	no	—
981	#553	—	47	1	no	—
982	#553	—	94	1	no	—
983	#552	—	47	1	no	—
984	D₄×Q₈	—	47	1	no	—
985	#548	—	47	1	no	—
986	#548	—	47	1	no	—
987	#547	—	2	1	no	—
988	#547	—	2	1	no	—
989	#547	—	47	1	no	—
990	#547	C₂×D₄₇	1	1	yes	characteristic
991	#547	C₂×D₄₇	1	1	yes	characteristic
992	#547	C₂×D₄₇	1	1	yes	characteristic
993	#547	C₂×D₄₇	1	1	yes	characteristic
994	#546	—	2	1	no	—
995	#546	—	2	1	no	—
996	#546	C₂×D₄₇	1	1	yes	characteristic
997	#546	C₂×D₄₇	1	1	yes	characteristic
998	#546	C₂×D₄₇	1	1	yes	characteristic
999	#546	C₂×D₄₇	1	1	yes	characteristic
1000	#542	—	47	1	no	—
1001	#542	—	94	1	no	—
1002	#541	—	47	1	no	—
1003	#539	—	94	1	no	—
1004	#538	—	94	1	no	—
1005	#538	—	94	1	no	—
1006	#537	—	47	1	no	—
1007	#536	—	47	1	no	—
1008	#536	C₂×D₄₇	1	1	yes	characteristic
1009	#536	C₂×D₄₇	1	1	yes	characteristic
1010	#534	—	2	1	no	—
1011	#534	—	2	1	no	—
1012	#525	—	47	1	no	—
1013	#525	C₂×D₄₇	1	1	yes	characteristic
1014	#525	C₂×D₄₇	1	1	yes	characteristic
1015	C₂×#123	—	2	1	no	—
1016	C₂×#123	—	2	1	no	—
1017	C₂×C₂²⋊Q₈	—	47	1	no	—
1018	#518	C₂×D₄₇	1	1	yes	characteristic
1019	#497	—	47	1	no	—
1020	#497	—	47	1	no	—
1021	#495	—	47	1	no	—
1022	#494	—	47	1	no	—
1023	#491	—	47	1	no	—
1024	#489	—	47	1	no	—
1025	#488	—	47	1	no	—
1026	#487	—	47	1	no	—
1027	#485	—	47	1	no	—
1028	#485	—	47	1	no	—
1029	#485	—	47	1	no	—
1030	#485	—	47	1	no	—
1031	#485	—	47	1	no	—
1032	#485	—	47	1	no	—
1033	#484	—	47	1	no	—
1034	#483	—	47	1	no	—
1035	#483	—	47	1	no	—
1036	#482	—	47	1	no	—
1037	#482	—	47	1	no	—
1038	#480	—	47	1	no	—
1039	#478	—	47	1	no	—
1040	#478	—	47	1	no	—
1041	#476	—	47	1	no	—
1042	#474	—	47	1	no	—
1043	#470	—	47	1	no	—
1044	#470	—	47	1	no	—
1045	#470	—	47	1	no	—
1046	#470	—	47	1	no	—
1047	#469	—	47	1	no	—
1048	#468	—	47	1	no	—
1049	#468	—	47	1	no	—
1050	#468	—	47	1	no	—
1051	#467	—	47	1	no	—
1052	#467	—	47	1	no	—
1053	#467	—	47	1	no	—
1054	#467	—	47	1	no	—
1055	#467	—	47	1	no	—
1056	#465	—	47	1	no	—
1057	#465	—	47	1	no	—
1058	#465	—	47	1	no	—
1059	#464	—	47	1	no	—
1060	#464	—	47	1	no	—
1061	#464	—	47	1	no	—
1062	#463	—	47	1	no	—
1063	#463	—	47	1	no	—
1064	#463	—	47	1	no	—
1065	#462	—	47	1	no	—
1066	#462	—	47	1	no	—
1067	#462	—	47	1	no	—
1068	#461	—	47	1	no	—
1069	#461	—	47	1	no	—
1070	#461	—	47	1	no	—
1071	#452	—	47	1	no	—
1072	#452	—	47	1	no	—
1073	#452	—	47	1	no	—
1074	#452	—	47	1	no	—
1075	#452	—	47	1	no	—
1076	#452	—	47	1	no	—
1077	#452	—	47	1	no	—
1078	#452	—	47	1	no	—
1079	#452	—	47	1	no	—
1080	#452	—	47	1	no	—
1081	#452	—	47	1	no	—
1082	#452	—	47	1	no	—
1083	#452	—	47	1	no	—
1084	#452	—	47	1	no	—
1085	#452	—	47	1	no	—
1086	#451	—	47	1	no	—
1087	#451	—	47	1	no	—
1088	#451	—	47	1	no	—
1089	#451	—	47	1	no	—
1090	#451	—	47	1	no	—
1091	#451	—	47	1	no	—
1092	#450	—	47	1	no	—
1093	#450	—	47	1	no	—
1094	#450	—	47	1	no	—
1095	#450	—	47	1	no	—
1096	#450	—	47	1	no	—
1097	#450	—	47	1	no	—
1098	#449	—	47	1	no	—
1099	#449	—	47	1	no	—
1100	#449	—	47	1	no	—
1101	#449	—	47	1	no	—
1102	#449	—	47	1	no	—
1103	#448	—	47	1	no	—
1104	#448	—	47	1	no	—
1105	#447	—	47	1	no	—
1106	#447	—	47	1	no	—
1107	#442	—	47	1	no	—
1108	#440	—	47	1	no	—
1109	#440	—	47	1	no	—
1110	#440	—	47	1	no	—
1111	C₄×SD₁₆	—	47	1	no	—
1112	C₄×SD₁₆	—	47	1	no	—
1113	C₄×SD₁₆	—	47	1	no	—
1114	C₄×D₈	—	47	1	no	—
1115	#436	—	47	1	no	—
1116	#436	—	47	1	no	—
1117	#435	—	47	1	no	—
1118	#435	—	47	1	no	—
1119	#435	—	47	1	no	—
1120	#435	—	47	1	no	—
1121	C₈×D₄	—	47	1	no	—
1122	C₈×D₄	—	47	1	no	—
1123	#433	—	47	1	no	—
1124	#433	—	47	1	no	—
1125	#418	—	47	1	no	—
1126	#417	—	47	1	no	—
1127	#417	—	47	1	no	—
1128	#417	—	47	1	no	—
1129	#416	—	47	1	no	—
1130	#416	—	47	1	no	—
1131	#416	—	47	1	no	—
1132	C₂×#102	—	47	1	no	—
1133	#408	—	47	1	no	—
1134	#408	—	47	1	no	—
1135	#407	—	47	1	no	—
1136	C₂×C₂²⋊C₈	—	47	1	no	—
1137	C₄₇	#61613	1	1	yes	characteristic, complemented, Sylow
1138	H(5,𝔽₂)	—	4	2	no	—
1139	H(5,𝔽₂)	—	4	2	no	—
1140	C₂×#41	—	2	1	no	—
1141	C₂×#41	—	2	1	no	—
1142	C₂×#41	—	2	1	no	—
1143	C₂×#41	—	4	2	no	—
1144	C₂×#41	—	4	2	no	—
1145	C₂×#41	—	47	1	no	—
1146	C₂×#41	—	47	1	no	—
1147	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1148	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1149	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1150	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1151	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1152	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1153	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1154	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1155	C₂²×Q₈	—	47	1	no	—
1156	C₂²×Q₈	—	47	1	no	—
1157	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1158	C₂²×D₄	—	2	1	no	—
1159	C₂²×D₄	—	2	1	no	—
1160	C₂²×D₄	—	2	1	no	—
1161	C₂²×D₄	—	2	1	no	—
1162	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1163	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1164	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1165	C₂³×C₄	—	2	1	no	—
1166	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1167	#137	—	188	2	no	—
1168	#137	—	188	2	no	—
1169	#137	—	188	2	no	—
1170	AGL(1,ℤ/8)	—	188	2	no	—
1171	#135	—	188	2	no	—
1172	#135	—	188	2	no	—
1173	#135	—	188	2	no	—
1174	C₂×Q₁₆	—	47	1	no	—
1175	C₂×Q₁₆	—	47	1	no	—
1176	C₂×Q₁₆	—	47	1	no	—
1177	C₂×Q₁₆	—	47	1	no	—
1178	C₂×Q₁₆	—	47	1	no	—
1179	C₂×Q₁₆	—	47	1	no	—
1180	C₂×Q₁₆	—	47	1	no	—
1181	C₂×Q₁₆	—	47	1	no	—
1182	C₂×Q₁₆	—	47	1	no	—
1183	C₂×SD₁₆	—	47	1	no	—
1184	C₂×SD₁₆	—	47	1	no	—
1185	C₂×SD₁₆	—	47	1	no	—
1186	C₂×SD₁₆	—	47	1	no	—
1187	C₂×SD₁₆	—	47	1	no	—
1188	C₂×SD₁₆	—	47	1	no	—
1189	C₂×SD₁₆	—	47	1	no	—
1190	C₂×SD₁₆	—	47	1	no	—
1191	C₂×SD₁₆	—	47	1	no	—
1192	C₂×SD₁₆	—	47	1	no	—
1193	C₂×SD₁₆	—	47	1	no	—
1194	C₂×SD₁₆	—	47	1	no	—
1195	C₂×SD₁₆	—	188	2	no	—
1196	C₂×D₈	—	47	1	no	—
1197	C₂×D₈	—	47	1	no	—
1198	C₂×D₈	—	47	1	no	—
1199	C₂×M₁₆	—	47	1	no	—
1200	C₂×M₁₆	—	47	1	no	—
1201	C₂×M₁₆	—	47	1	no	—
1202	C₂×M₁₆	—	47	1	no	—
1203	C₂²×C₈	—	47	1	no	—
1204	C₂²×C₈	—	47	1	no	—
1205	C₂²×C₈	—	47	1	no	—
1206	C₂²×C₈	—	47	1	no	—
1207	C₄⋊Q₈	—	2	1	no	—
1208	C₄⋊Q₈	—	47	1	no	—
1209	C₄⋊Q₈	—	47	1	no	—
1210	C₄⋊Q₈	—	94	1	no	—
1211	C₄⋊Q₈	—	94	1	no	—
1212	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1213	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1214	#126	—	94	1	no	—
1215	#126	—	94	1	no	—
1216	#126	—	94	1	no	—
1217	#126	—	94	1	no	—
1218	#126	—	94	1	no	—
1219	#126	—	94	1	no	—
1220	#126	—	94	1	no	—
1221	#125	—	47	1	no	—
1222	#125	—	94	1	no	—
1223	#125	—	94	1	no	—
1224	#125	—	94	1	no	—
1225	#125	—	94	1	no	—
1226	#124	—	2	1	no	—
1227	#124	—	47	1	no	—
1228	#124	—	94	1	no	—
1229	#124	—	94	1	no	—
1230	#124	—	94	1	no	—
1231	#124	—	94	1	no	—
1232	#124	—	94	1	no	—
1233	#124	C₂²×D₄₇	1	1	yes	characteristic
1234	#124	C₂²×D₄₇	1	1	yes	characteristic
1235	#123	—	2	1	no	—
1236	#123	—	2	1	no	—
1237	#123	—	2	1	no	—
1238	#123	—	2	1	no	—
1239	#123	—	2	1	no	—
1240	#123	—	2	1	no	—
1241	#123	—	2	1	no	—
1242	#123	—	2	1	no	—
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	2	1	no	—
1247	#123	—	2	1	no	—
1248	#123	—	2	1	no	—
1249	#123	—	2	1	no	—
1250	#123	—	2	1	no	—
1251	#123	—	2	1	no	—
1252	#123	—	94	1	no	—
1253	#123	—	94	1	no	—
1254	#123	—	94	1	no	—
1255	#123	—	94	1	no	—
1256	#123	—	94	1	no	—
1257	#123	—	94	1	no	—
1258	#123	—	94	1	no	—
1259	#123	—	94	1	no	—
1260	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1261	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1262	C₂²⋊Q₈	—	2	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	47	1	no	—
1265	C₂²⋊Q₈	—	47	1	no	—
1266	C₂²⋊Q₈	—	47	1	no	—
1267	C₂²⋊Q₈	—	47	1	no	—
1268	C₂²⋊Q₈	—	47	1	no	—
1269	C₂²⋊Q₈	—	47	1	no	—
1270	C₂²⋊Q₈	—	47	1	no	—
1271	C₂²⋊Q₈	—	47	1	no	—
1272	C₂²⋊Q₈	—	47	1	no	—
1273	C₂²⋊Q₈	—	94	1	no	—
1274	C₂²⋊Q₈	—	94	1	no	—
1275	C₂²⋊Q₈	—	94	1	no	—
1276	C₂²⋊Q₈	—	94	1	no	—
1277	C₂²⋊Q₈	—	94	1	no	—
1278	C₂²⋊Q₈	—	94	1	no	—
1279	C₂²⋊Q₈	—	94	1	no	—
1280	C₂²⋊Q₈	—	94	1	no	—
1281	C₂²⋊Q₈	—	94	1	no	—
1282	C₂²⋊Q₈	—	94	1	no	—
1283	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
1284	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
1285	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1286	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1287	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1288	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1289	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1290	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	—	2	1	no	—
1295	#121	—	2	1	no	—
1296	#121	—	2	1	no	—
1297	#121	—	2	1	no	—
1298	#121	—	2	1	no	—
1299	#121	—	47	1	no	—
1300	#121	—	47	1	no	—
1301	#121	—	47	1	no	—
1302	#121	—	94	1	no	—
1303	#121	—	94	1	no	—
1304	#121	—	94	1	no	—
1305	#121	—	94	1	no	—
1306	#121	—	94	1	no	—
1307	#121	—	94	1	no	—
1308	#121	—	94	1	no	—
1309	#121	C₂²⋊D₄₇	1	1	yes	characteristic
1310	#121	C₂²⋊D₄₇	1	1	yes	characteristic
1311	#121	C₂²×D₄₇	1	1	yes	characteristic
1312	#121	C₂²×D₄₇	1	1	yes	characteristic
1313	#120	—	2	1	no	—
1314	#120	—	2	1	no	—
1315	#120	—	2	1	no	—
1316	#120	—	2	1	no	—
1317	#120	—	2	1	no	—
1318	#120	—	94	1	no	—
1319	#120	C₂²⋊D₄₇	1	1	yes	characteristic
1320	#120	C₂²⋊D₄₇	1	1	yes	characteristic
1321	C₄×Q₈	—	47	1	no	—
1322	C₄×Q₈	—	47	1	no	—
1323	C₄×Q₈	—	47	1	no	—
1324	C₄×Q₈	—	94	1	no	—
1325	C₄×D₄	—	2	1	no	—
1326	C₄×D₄	—	2	1	no	—
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	—	2	1	no	—
1329	C₄×D₄	—	47	1	no	—
1330	C₄×D₄	—	94	1	no	—
1331	C₄×D₄	—	94	1	no	—
1332	C₄×D₄	—	94	1	no	—
1333	C₄×D₄	—	94	1	no	—
1334	C₄×D₄	—	94	1	no	—
1335	C₄×D₄	—	94	1	no	—
1336	C₄×D₄	—	94	1	no	—
1337	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1338	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1339	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1340	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1341	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1342	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1343	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1344	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1345	#117	—	47	1	no	—
1346	#117	—	47	1	no	—
1347	#117	—	94	1	no	—
1348	#117	C₂²×D₄₇	1	1	yes	characteristic
1349	#117	C₂²×D₄₇	1	1	yes	characteristic
1350	C₂×C₄⋊C₄	—	2	1	no	—
1351	C₂×C₄⋊C₄	—	2	1	no	—
1352	C₂×C₄⋊C₄	—	2	1	no	—
1353	C₂×C₄⋊C₄	—	2	1	no	—
1354	C₂×C₄⋊C₄	—	47	1	no	—
1355	C₂×C₄⋊C₄	—	47	1	no	—
1356	C₂×C₄⋊C₄	—	94	1	no	—
1357	C₂×C₄⋊C₄	—	94	1	no	—
1358	C₂×C₂²⋊C₄	—	2	1	no	—
1359	C₂×C₂²⋊C₄	—	2	1	no	—
1360	C₂×C₂²⋊C₄	—	2	1	no	—
1361	C₂×C₂²⋊C₄	—	2	1	no	—
1362	C₂×C₂²⋊C₄	—	2	1	no	—
1363	C₂×C₂²⋊C₄	—	2	1	no	—
1364	C₂×C₂²⋊C₄	—	94	1	no	—
1365	#107	—	47	1	no	—
1366	#107	—	47	1	no	—
1367	#107	—	47	1	no	—
1368	#107	—	47	1	no	—
1369	#106	—	47	1	no	—
1370	#106	—	47	1	no	—
1371	#106	—	47	1	no	—
1372	#106	—	47	1	no	—
1373	C₄⋊C₈	—	47	1	no	—
1374	C₄⋊C₈	—	47	1	no	—
1375	C₄⋊C₈	—	47	1	no	—
1376	C₄⋊C₈	—	47	1	no	—
1377	#103	—	47	1	no	—
1378	#103	—	47	1	no	—
1379	#103	—	47	1	no	—
1380	#103	—	47	1	no	—
1381	#103	—	47	1	no	—
1382	#103	—	47	1	no	—
1383	#103	—	47	1	no	—
1384	#103	—	47	1	no	—
1385	#103	—	47	1	no	—
1386	#103	—	47	1	no	—
1387	#103	—	47	1	no	—
1388	#103	—	47	1	no	—
1389	#103	—	47	1	no	—
1390	#103	—	47	1	no	—
1391	#103	—	47	1	no	—
1392	#103	—	47	1	no	—
1393	#103	—	47	1	no	—
1394	#103	—	47	1	no	—
1395	#102	—	47	1	no	—
1396	#102	—	47	1	no	—
1397	#102	—	47	1	no	—
1398	#102	—	47	1	no	—
1399	#102	—	47	1	no	—
1400	#102	—	47	1	no	—
1401	#102	—	47	1	no	—
1402	#102	—	47	1	no	—
1403	#102	—	47	1	no	—
1404	#102	—	47	1	no	—
1405	#102	—	47	1	no	—
1406	#102	—	47	1	no	—
1407	#102	—	47	1	no	—
1408	#102	—	47	1	no	—
1409	C₂²⋊C₈	—	47	1	no	—
1410	C₂²⋊C₈	—	47	1	no	—
1411	C₂²⋊C₈	—	47	1	no	—
1412	C₂²⋊C₈	—	47	1	no	—
1413	C₂²⋊C₈	—	47	1	no	—
1414	C₂²⋊C₈	—	47	1	no	—
1415	C₂²⋊C₈	—	47	1	no	—
1416	C₂²⋊C₈	—	47	1	no	—
1417	C₂²⋊C₈	—	47	1	no	—
1418	C₂²⋊C₈	—	47	1	no	—
1419	C₂²⋊C₈	—	47	1	no	—
1420	C₂²⋊C₈	—	47	1	no	—
1421	#97	—	47	1	no	—
1422	#97	—	47	1	no	—
1423	C₄×C₈	—	47	1	no	—
1424	C₄×C₈	—	47	1	no	—
1425	C₂⁴	—	2	1	no	—
1426	C₂⁴	—	2	1	no	—
1427	C₂⁴	—	2	1	no	—
1428	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1429	#41	—	2	2	no	—
1430	#41	—	2	2	no	—
1431	#41	—	2	2	no	—
1432	#41	—	2	2	no	—
1433	#41	—	2	2	no	—
1434	#41	—	2	2	no	—
1435	#41	—	4	1	no	—
1436	#41	—	4	1	no	—
1437	#41	—	4	1	no	—
1438	#41	—	4	1	no	—
1439	#41	—	4	1	no	—
1440	#41	—	4	1	no	—
1441	#41	—	4	1	no	—
1442	#41	—	4	1	no	—
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	4	no	—
1446	#41	—	4	4	no	—
1447	#41	—	4	4	no	—
1448	#41	—	188	1	no	—
1449	#41	—	188	1	no	—
1450	#41	—	188	1	no	—
1451	#41	—	188	1	no	—
1452	C₂×Q₈	—	2	1	no	—
1453	C₂×Q₈	—	4	1	no	—
1454	C₂×Q₈	—	4	1	no	—
1455	C₂×Q₈	—	47	1	no	—
1456	C₂×Q₈	—	47	1	no	—
1457	C₂×Q₈	—	47	1	no	—
1458	C₂×Q₈	—	94	1	no	—
1459	C₂×Q₈	—	94	1	no	—
1460	C₂×Q₈	—	94	1	no	—
1461	C₂×Q₈	—	188	1	no	—
1462	C₂×Q₈	—	188	1	no	—
1463	C₂×Q₈	—	188	1	no	—
1464	C₂×Q₈	—	188	1	no	—
1465	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1466	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1467	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1468	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1469	C₂×D₄	—	2	2	no	—
1470	C₂×D₄	—	2	2	no	—
1471	C₂×D₄	—	2	2	no	—
1472	C₂×D₄	—	2	2	no	—
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	4	1	no	—
1486	C₂×D₄	—	4	1	no	—
1487	C₂×D₄	—	4	4	no	—
1488	C₂×D₄	—	4	4	no	—
1489	C₂×D₄	—	4	4	no	—
1490	C₂×D₄	—	4	4	no	—
1491	C₂×D₄	—	47	1	no	—
1492	C₂×D₄	—	94	1	no	—
1493	C₂×D₄	—	94	1	no	—
1494	C₂×D₄	—	94	1	no	—
1495	C₂×D₄	—	94	1	no	—
1496	C₂×D₄	—	94	1	no	—
1497	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1498	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1499	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1500	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1501	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1502	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1503	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1504	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1505	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1506	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	2	1	no	—
1510	C₂²×C₄	—	2	1	no	—
1511	C₂²×C₄	—	2	1	no	—
1512	C₂²×C₄	—	2	1	no	—
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	4	1	no	—
1520	C₂²×C₄	—	4	1	no	—
1521	C₂²×C₄	—	4	4	no	—
1522	C₂²×C₄	—	94	1	no	—
1523	C₂²×C₄	—	94	1	no	—
1524	C₂²×C₄	—	94	1	no	—
1525	C₂²×C₄	—	94	1	no	—
1526	C₂²×C₄	—	94	1	no	—
1527	C₂²×C₄	—	94	1	no	—
1528	C₂²×C₄	—	94	1	no	—
1529	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1530	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1531	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1532	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1533	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1534	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1537	Q₁₆	—	188	1	no	—
1538	Q₁₆	—	188	1	no	—
1539	Q₁₆	—	188	1	no	—
1540	Q₁₆	—	188	1	no	—
1541	Q₁₆	—	188	1	no	—
1542	Q₁₆	—	188	1	no	—
1543	Q₁₆	—	188	1	no	—
1544	Q₁₆	—	188	1	no	—
1545	Q₁₆	—	188	1	no	—
1546	SD₁₆	—	94	2	no	—
1547	SD₁₆	—	94	2	no	—
1548	SD₁₆	—	94	2	no	—
1549	SD₁₆	—	94	2	no	—
1550	SD₁₆	—	94	2	no	—
1551	SD₁₆	—	94	2	no	—
1552	SD₁₆	—	188	1	no	—
1553	SD₁₆	—	188	1	no	—
1554	SD₁₆	—	188	1	no	—
1555	SD₁₆	—	188	1	no	—
1556	SD₁₆	—	188	1	no	—
1557	SD₁₆	—	188	1	no	—
1558	D₈	—	94	2	no	—
1559	D₈	—	94	2	no	—
1560	D₈	—	188	1	no	—
1561	M₁₆	—	188	1	no	—
1562	M₁₆	—	188	1	no	—
1563	M₁₆	—	188	1	no	—
1564	M₁₆	—	188	1	no	—
1565	C₂×C₈	—	47	1	no	—
1566	C₂×C₈	—	47	1	no	—
1567	C₂×C₈	—	47	1	no	—
1568	C₂×C₈	—	47	1	no	—
1569	C₂×C₈	—	47	1	no	—
1570	C₂×C₈	—	47	1	no	—
1571	C₂×C₈	—	47	1	no	—
1572	C₂×C₈	—	47	1	no	—
1573	C₂×C₈	—	188	1	no	—
1574	C₂×C₈	—	188	1	no	—
1575	C₂×C₈	—	188	1	no	—
1576	C₂×C₈	—	188	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	47	1	no	—
1588	C₄⋊C₄	—	47	1	no	—
1589	C₄⋊C₄	—	47	1	no	—
1590	C₄⋊C₄	—	47	1	no	—
1591	C₄⋊C₄	—	94	1	no	—
1592	C₄⋊C₄	—	94	1	no	—
1593	C₄⋊C₄	—	94	1	no	—
1594	C₄⋊C₄	—	94	1	no	—
1595	C₄⋊C₄	—	94	1	no	—
1596	C₄⋊C₄	—	94	1	no	—
1597	C₄⋊C₄	—	94	1	no	—
1598	C₄⋊C₄	—	94	1	no	—
1599	C₄⋊C₄	—	94	1	no	—
1600	C₄⋊C₄	—	94	1	no	—
1601	C₄⋊C₄	—	94	1	no	—
1602	C₄⋊C₄	—	94	1	no	—
1603	C₄⋊C₄	—	94	1	no	—
1604	C₄⋊C₄	—	94	1	no	—
1605	C₄⋊C₄	—	94	1	no	—
1606	C₄⋊C₄	—	94	1	no	—
1607	C₄⋊C₄	—	94	1	no	—
1608	C₄⋊C₄	—	94	1	no	—
1609	C₄⋊C₄	—	94	1	no	—
1610	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1611	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1612	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1613	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1614	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1615	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1616	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1617	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	2	1	no	—
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	94	1	no	—
1636	C₂²⋊C₄	—	94	1	no	—
1637	C₂²⋊C₄	—	94	1	no	—
1638	C₂²⋊C₄	—	94	1	no	—
1639	C₂²⋊C₄	—	94	1	no	—
1640	C₂²⋊C₄	—	94	1	no	—
1641	C₂²⋊C₄	—	94	1	no	—
1642	C₂²⋊C₄	—	94	1	no	—
1643	C₂²⋊C₄	—	94	1	no	—
1644	C₂²⋊C₄	—	94	1	no	—
1645	C₂²⋊C₄	—	94	1	no	—
1646	C₂²⋊C₄	—	94	1	no	—
1647	C₂²⋊C₄	—	94	1	no	—
1648	C₂²⋊C₄	—	94	1	no	—
1649	C₂²⋊C₄	—	94	1	no	—
1650	C₂²⋊C₄	—	94	1	no	—
1651	C₂²⋊C₄	—	94	1	no	—
1652	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1653	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1654	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1655	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1656	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1657	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1658	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1659	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1660	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1661	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1662	C₄²	—	2	1	no	—
1663	C₄²	—	94	1	no	—
1664	C₄²	—	94	1	no	—
1665	C₄²	—	94	1	no	—
1666	C₄²	—	94	1	no	—
1667	C₄²	—	94	1	no	—
1668	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1669	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1670	C₂³	—	2	4	no	—
1671	C₂³	—	2	1	no	—
1672	C₂³	—	2	1	no	—
1673	C₂³	—	2	1	no	—
1674	C₂³	—	4	1	no	—
1675	C₂³	—	4	1	no	—
1676	C₂³	—	4	1	no	—
1677	C₂³	—	4	2	no	—
1678	C₂³	—	4	2	no	—
1679	C₂³	—	8	1	no	—
1680	C₂³	—	8	1	no	—
1681	C₂³	—	8	1	no	—
1682	C₂³	—	8	1	no	—
1683	C₂³	—	8	1	no	—
1684	C₂³	—	8	1	no	—
1685	C₂³	—	94	1	no	—
1686	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1687	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1688	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1689	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1690	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	2	1	no	—
1694	Q₈	—	2	1	no	—
1695	Q₈	—	2	1	no	—
1696	Q₈	—	2	1	no	—
1697	Q₈	—	4	1	no	—
1698	Q₈	—	4	2	no	—
1699	Q₈	—	94	1	no	—
1700	Q₈	—	94	1	no	—
1701	Q₈	—	94	1	no	—
1702	Q₈	—	94	1	no	—
1703	Q₈	—	94	1	no	—
1704	Q₈	—	94	1	no	—
1705	Q₈	—	376	1	no	—
1706	Q₈	—	376	1	no	—
1707	Q₈	—	376	1	no	—
1708	D₄	—	2	4	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	2	1	no	—
1713	D₄	—	4	1	no	—
1714	D₄	—	4	1	no	—
1715	D₄	—	4	1	no	—
1716	D₄	—	4	1	no	—
1717	D₄	—	4	1	no	—
1718	D₄	—	4	1	no	—
1719	D₄	—	4	1	no	—
1720	D₄	—	4	2	no	—
1721	D₄	—	4	2	no	—
1722	D₄	—	4	2	no	—
1723	D₄	—	4	2	no	—
1724	D₄	—	4	2	no	—
1725	D₄	—	4	2	no	—
1726	D₄	—	4	2	no	—
1727	D₄	—	4	2	no	—
1728	D₄	—	4	2	no	—
1729	D₄	—	8	1	no	—
1730	D₄	—	8	1	no	—
1731	D₄	—	94	1	no	—
1732	D₄	—	94	1	no	—
1733	D₄	—	376	1	no	—
1734	D₄	—	376	1	no	—
1735	D₄	—	376	1	no	—
1736	D₄	—	376	1	no	—
1737	D₄	—	188	2	no	—
1738	D₄	#13094069	1	2	yes	—
1739	D₄	#13094069	1	2	yes	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	4	1	no	—
1756	C₂×C₄	—	4	1	no	—
1757	C₂×C₄	—	4	1	no	—
1758	C₂×C₄	—	4	2	no	—
1759	C₂×C₄	—	4	2	no	—
1760	C₂×C₄	—	4	2	no	—
1761	C₂×C₄	—	4	2	no	—
1762	C₂×C₄	—	4	2	no	—
1763	C₂×C₄	—	4	2	no	—
1764	C₂×C₄	—	4	2	no	—
1765	C₂×C₄	—	4	2	no	—
1766	C₂×C₄	—	8	1	no	—
1767	C₂×C₄	—	8	1	no	—
1768	C₂×C₄	—	8	1	no	—
1769	C₂×C₄	—	8	1	no	—
1770	C₂×C₄	—	94	1	no	—
1771	C₂×C₄	—	94	1	no	—
1772	C₂×C₄	—	94	1	no	—
1773	C₂×C₄	—	94	1	no	—
1774	C₂×C₄	—	94	1	no	—
1775	C₂×C₄	—	94	1	no	—
1776	C₂×C₄	—	94	1	no	—
1777	C₂×C₄	—	376	1	no	—
1778	C₂×C₄	—	376	1	no	—
1779	C₂×C₄	—	376	1	no	—
1780	C₂×C₄	—	376	1	no	—
1781	C₂×C₄	—	376	1	no	—
1782	C₂×C₄	—	376	1	no	—
1783	C₂×C₄	—	376	1	no	—
1784	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1785	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1786	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1787	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1788	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1789	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1790	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1791	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1792	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1793	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1794	C₈	—	94	1	no	—
1795	C₈	—	94	1	no	—
1796	C₈	—	94	1	no	—
1797	C₈	—	94	1	no	—
1798	C₈	—	94	1	no	—
1799	C₈	—	94	1	no	—
1800	C₈	—	94	1	no	—
1801	C₈	—	94	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	2	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	2	no	—
1818	C₂²	—	2	2	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	4	1	no	—
1822	C₂²	—	4	1	no	—
1823	C₂²	—	4	1	no	—
1824	C₂²	—	4	1	no	—
1825	C₂²	—	4	1	no	—
1826	C₂²	—	8	4	no	—
1827	C₂²	—	8	2	no	—
1828	C₂²	—	16	2	no	—
1829	C₂²	—	16	2	no	—
1830	C₂²	—	188	1	no	—
1831	C₂²	—	188	1	no	—
1832	C₂²	—	188	1	no	—
1833	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	1	no	—
1841	C₄	—	2	1	no	—
1842	C₄	—	2	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	4	1	no	—
1847	C₄	—	4	1	no	—
1848	C₄	—	188	1	no	—
1849	C₄	—	188	1	no	—
1850	C₄	—	188	1	no	—
1851	C₄	—	188	1	no	—
1852	C₄	—	188	1	no	—
1853	C₄	—	188	1	no	—
1854	C₄	—	188	1	no	—
1855	C₄	C₂×#13094069	1	1	yes	characteristic
1856	C₄	C₂×#13094069	1	1	yes	characteristic
1857	C₂	—	4	1	no	—
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	4	1	no	—
1861	C₂	—	4	1	no	—
1862	C₂	—	4	2	no	—
1863	C₂	—	4	2	no	—
1864	C₂	—	8	1	no	—
1865	C₂	—	376	1	no	—
1866	C₂	#20257023	1	1	yes	characteristic
1867	C₂	#20258159	1	1	yes	characteristic
1868	C₂	#20258174	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3485	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3485	D₄₇
hypocenter	C₄₇	#61613
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3485

Complements

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

N	H ≅ G/N	type
1. #20257681	C₂	semidirect
2. #20255704	C₂	semidirect
3. #20255589	C₂	semidirect
4. #20255484	C₂	semidirect
5. #20255469	C₂	semidirect
6. #20255424	C₂	semidirect
7. #20255364	C₂	semidirect
8. #20255305	C₂	semidirect
9. #20255223	C₂	semidirect
10. #20255106	C₂	semidirect
11. #20255091	C₂	semidirect
12. #20255030	C₂	semidirect
13. #20255015	C₂	semidirect
14. #20254939	C₂	semidirect
15. #20254939	C₂	semidirect
16. #20254909	C₂	semidirect
17. #20254894	C₂	semidirect
18. #20254497	C₂	semidirect
19. #20254471	C₂	semidirect
20. #20254279	C₂	semidirect
21. #20254270	C₂	semidirect
22. #20254225	C₂	semidirect
23. #20254165	C₂	semidirect
24. #20253640	C₂	semidirect
25. #20253572	C₂	semidirect
26. #20252692	C₂	semidirect
27. #20252665	C₂	semidirect
28. #20252648	C₂	semidirect
29. #20252606	C₂	semidirect
30. #20252436	C₂	semidirect
31. C₄₇×#3485	C₂	semidirect
32. C₂×#13094054	C₂²	semidirect
33. C₂×#13094054	C₂²	semidirect
34. C₂×#13094054	C₂²	semidirect
35. C₂×#13094050	C₂²	semidirect
36. C₂×#13094044	C₂²	semidirect
37. C₂×#13094044	C₂²	semidirect
38. C₂×#13094044	C₂²	semidirect
39. C₂²×#10625335	C₂²	semidirect
42. #15689843	C₂²	semidirect
43. #15689830	C₂²	semidirect
45. #15689819	C₂²	semidirect
47. #15689813	C₂²	semidirect
48. D₄×Dic₉₄	C₂²	semidirect
49. #15689782	C₂²	semidirect
50. #15689782	C₂²	semidirect
51. #15689778	C₂²	semidirect
52. #15689744	C₂²	semidirect
54. #15689735	C₂²	semidirect
60. #15689634	C₂²	semidirect
61. C₂×#13094003	C₂²	semidirect
62. #15689518	C₂²	semidirect
63. #15689515	C₂²	semidirect
64. #15689505	C₂²	semidirect
65. #15689502	C₂²	semidirect
66. #15689491	C₂²	semidirect
67. #15689482	C₂²	semidirect
68. #15689477	C₂²	semidirect
69. #15689473	C₂²	semidirect
70. #15689464	C₂²	semidirect
71. #15689464	C₂²	semidirect
72. #15689464	C₂²	semidirect
73. #15689461	C₂²	semidirect
74. #15689461	C₂²	semidirect
75. #15689461	C₂²	semidirect
76. #15689456	C₂²	semidirect
77. #15689451	C₂²	semidirect
78. #15689451	C₂²	semidirect
79. #15689447	C₂²	semidirect
80. #15689444	C₂²	semidirect
81. #15689434	C₂²	semidirect
82. #15689423	C₂²	semidirect
83. #15689423	C₂²	semidirect
84. #15689413	C₂²	semidirect
85. #15689403	C₂²	semidirect
86. #15689379	C₂²	semidirect
87. #15689379	C₂²	semidirect
88. #15689379	C₂²	semidirect
89. #15689379	C₂²	semidirect
90. #15689374	C₂²	semidirect
91. #15689371	C₂²	semidirect
92. #15689371	C₂²	semidirect
93. #15689367	C₂²	semidirect
94. #15689362	C₂²	semidirect
95. #15689362	C₂²	semidirect
96. #15689362	C₂²	semidirect
97. #15689362	C₂²	semidirect
98. #15689362	C₂²	semidirect
99. #15689354	C₂²	semidirect
100. #15689350	C₂²	semidirect
101. #15689350	C₂²	semidirect
102. #15689342	C₂²	semidirect
103. #15689342	C₂²	semidirect
104. #15689342	C₂²	semidirect
105. #15689338	C₂²	semidirect
106. #15689338	C₂²	semidirect
107. #15689335	C₂²	semidirect
108. #15689330	C₂²	semidirect
109. #15689330	C₂²	semidirect
110. #15689330	C₂²	semidirect
111. #15689328	C₂²	semidirect
112. #15689328	C₂²	semidirect
113. #15689325	C₂²	semidirect
117. #15689285	C₂²	semidirect
118. #15689285	C₂²	semidirect
119. #15689285	C₂²	semidirect
120. #15689285	C₂²	semidirect
121. #15689285	C₂²	semidirect
122. #15689285	C₂²	semidirect
123. #15689285	C₂²	semidirect
124. #15689285	C₂²	semidirect
125. #15689285	C₂²	semidirect
126. #15689283	C₂²	semidirect
127. #15689283	C₂²	semidirect
128. #15689283	C₂²	semidirect
129. #15689279	C₂²	semidirect
130. #15689279	C₂²	semidirect
131. #15689279	C₂²	semidirect
132. #15689278	C₂²	semidirect
133. #15689278	C₂²	semidirect
134. #15689278	C₂²	semidirect
138. #15689274	C₂²	semidirect
139. #15689274	C₂²	semidirect
140. #15689274	C₂²	semidirect
142. #15689268	C₂²	semidirect
143. #15689268	C₂²	semidirect
144. #15689268	C₂²	semidirect
145. #15689266	C₂²	semidirect
146. #15689262	C₂²	semidirect
147. #15689261	C₂²	semidirect
149. #15689257	C₂²	semidirect
150. #15689233	C₂²	semidirect
151. #15689223	C₂²	semidirect
152. #15689223	C₂²	semidirect
153. #15689223	C₂²	semidirect
154. C₄×#10625335	C₂²	semidirect
155. C₄×#10625335	C₂²	semidirect
156. C₄×#10625335	C₂²	semidirect
157. C₄×#10625334	C₂²	semidirect
158. #15689201	C₂²	semidirect
159. #15689201	C₂²	semidirect
160. #15689195	C₂²	semidirect
161. #15689195	C₂²	semidirect
162. #15689195	C₂²	semidirect
163. #15689195	C₂²	semidirect
164. D₄×C₄₇⋊C₈	C₂²	semidirect
165. D₄×C₄₇⋊C₈	C₂²	semidirect
166. #15689184	C₂²	semidirect
167. #15689184	C₂²	semidirect
168. #15689128	C₂²	semidirect
169. #15689124	C₂²	semidirect
170. #15689124	C₂²	semidirect
171. #15689124	C₂²	semidirect
172. #15689119	C₂²	semidirect
173. #15689119	C₂²	semidirect
174. #15689119	C₂²	semidirect
175. C₂×#13093945	C₂²	semidirect
178. #15689087	C₂²	semidirect
179. C₂×C₂²⋊(C₄₇⋊C₈)	C₂²	semidirect
924. #3485	D₄₇	semidirect
1137. C₄₇	#61613	semidirect

Maximal subgroups

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

subgroup	index
#20257681	2
#20255704	2
#20255589	2
#20255484	2
#20255469	2
#20255424	2
#20255364	2
#20255305	2
#20255223	2
#20255106	2
#20255091	2
#20255030	2
#20255015	2
#20254939	2
#20254909	2
#20254894	2
#20254497	2
#20254471	2
#20254279	2
#20254270	2
#20254225	2
#20254165	2
#20253640	2
#20253572	2
#20252692	2
#20252665	2
#20252648	2
#20252606	2
#20252436	2
C₄₇×#3485	2
#61613	47