Subgroups — #27109599

Order 12032.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257377	C₂	1	1	yes	maximal, characteristic, complemented
2	#20256448	C₂	1	1	yes	maximal, characteristic, complemented
3	#20256404	C₂	1	1	yes	maximal, characteristic, complemented
4	#20256150	C₂	1	1	yes	maximal, characteristic, complemented
5	#20256113	C₂	1	1	yes	maximal, characteristic, complemented
6	#20255529	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255514	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255469	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255409	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255238	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255212	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255091	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#10625335	C₂	1	1	yes	maximal, characteristic, complemented
14	#20254969	C₂	1	1	yes	maximal, characteristic, complemented
15	#20254894	C₂	1	1	yes	maximal, characteristic, complemented
16	#20254879	C₂	1	1	yes	maximal, characteristic, complemented
17	#20254879	C₂	1	1	yes	maximal, characteristic, complemented
18	#20254834	C₂	1	1	yes	maximal, characteristic, complemented
19	#20254793	C₂	1	1	yes	maximal, characteristic, complemented
20	#20254735	C₂	1	1	yes	maximal, characteristic, complemented
21	#20254482	C₂	1	1	yes	maximal, characteristic, complemented
22	#20254460	C₂	1	1	yes	maximal, characteristic, complemented
23	#20254406	C₂	1	1	yes	maximal, characteristic, complemented
24	#20253674	C₂	1	1	yes	maximal, characteristic, complemented
25	#20253581	C₂	1	1	yes	maximal, characteristic, complemented
26	#20253555	C₂	1	1	yes	maximal, characteristic, complemented
27	#20252923	C₂	1	1	yes	maximal, characteristic, complemented
28	#20252905	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#15689320	C₂	1	1	yes	maximal, characteristic, complemented
30	#20252527	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#3543	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094054	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13094050	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#10625335	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#10625335	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#10625335	C₂²	1	1	yes	characteristic, complemented
38	#15689851	C₂²	1	1	yes	characteristic, complemented
39	#15689846	C₂²	1	1	yes	characteristic, complemented
40	#15689840	—	2	1	no	—
41	#15689830	C₂²	1	1	yes	characteristic, complemented
42	#15689827	—	2	1	no	—
43	#15689819	C₂²	1	1	yes	characteristic, complemented
44	#15689816	—	2	1	no	—
45	#15689813	C₂²	1	1	yes	characteristic, complemented
46	#15689809	—	2	1	no	—
47	D₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
48	#15689782	C₂²	1	1	yes	characteristic, complemented
49	#15689782	C₂²	1	1	yes	characteristic, complemented
50	#15689744	C₂²	1	1	yes	characteristic, complemented
51	#15689737	—	2	1	no	—
52	#15689735	C₂²	1	1	yes	characteristic, complemented
53	#15689732	—	2	1	no	—
54	#15689657	C₂²	1	1	yes	characteristic, complemented
55	#15689650	—	2	1	no	—
56	#15689650	—	2	1	no	—
57	#15689603	C₂²	1	1	yes	characteristic, complemented
58	#15689600	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
60	#15689518	C₂²	1	1	yes	characteristic, complemented
61	#15689510	C₂²	1	1	yes	characteristic
62	#15689510	C₂²	1	1	yes	characteristic, complemented
63	#15689510	C₂²	1	1	yes	characteristic, complemented
64	#15689505	C₂²	1	1	yes	characteristic, complemented
65	#15689495	C₂²	1	1	yes	characteristic, complemented
66	#15689487	C₂²	1	1	yes	characteristic
67	#15689487	C₂²	1	1	yes	characteristic, complemented
68	#15689487	C₂²	1	1	yes	characteristic, complemented
69	#15689482	C₂²	1	1	yes	characteristic, complemented
70	#15689477	C₂²	1	1	yes	characteristic, complemented
71	#15689469	C₂²	1	1	yes	characteristic, complemented
72	#15689456	C₂²	1	1	yes	characteristic, complemented
73	#15689444	C₂²	1	1	yes	characteristic, complemented
74	#15689444	C₂²	1	1	yes	characteristic, complemented
75	#15689439	C₂²	1	1	yes	characteristic
76	#15689439	C₂²	1	1	yes	characteristic, complemented
77	#15689434	C₂²	1	1	yes	characteristic, complemented
78	#15689430	C₂²	1	1	yes	characteristic, complemented
79	#15689427	C₂²	1	1	yes	characteristic, complemented
80	#15689427	C₂²	1	1	yes	characteristic, complemented
81	#15689427	C₂²	1	1	yes	characteristic, complemented
82	#15689423	C₂²	1	1	yes	characteristic, complemented
83	#15689423	C₂²	1	1	yes	characteristic, complemented
84	#15689423	C₂²	1	1	yes	characteristic, complemented
85	#15689420	C₂²	1	1	yes	characteristic, complemented
86	#15689413	C₂²	1	1	yes	characteristic, complemented
87	#15689403	C₂²	1	1	yes	characteristic, complemented
88	#15689374	C₂²	1	1	yes	characteristic, complemented
89	#15689367	C₂²	1	1	yes	characteristic, complemented
90	#15689367	C₂²	1	1	yes	characteristic, complemented
91	#15689367	C₂²	1	1	yes	characteristic, complemented
92	#15689362	C₂²	1	1	yes	characteristic, complemented
93	#15689357	C₂²	1	1	yes	characteristic
94	#15689357	C₂²	1	1	yes	characteristic, complemented
95	#15689354	C₂²	1	1	yes	characteristic, complemented
96	#15689350	C₂²	1	1	yes	characteristic
97	#15689350	C₂²	1	1	yes	characteristic, complemented
98	#15689350	C₂²	1	1	yes	characteristic, complemented
99	#15689350	C₂²	1	1	yes	characteristic, complemented
100	#15689345	C₂²	1	1	yes	characteristic, complemented
101	#15689342	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	#15689342	C₂²	1	1	yes	characteristic, complemented
106	#15689342	C₂²	1	1	yes	characteristic, complemented
107	#15689338	C₂²	1	1	yes	characteristic, complemented
108	#15689338	C₂²	1	1	yes	characteristic, complemented
109	#15689338	C₂²	1	1	yes	characteristic, complemented
110	#15689335	C₂²	1	1	yes	characteristic, complemented
111	#15689335	C₂²	1	1	yes	characteristic, complemented
112	#15689328	C₂²	1	1	yes	characteristic, complemented
113	#15689328	C₂²	1	1	yes	characteristic, complemented
114	#15689320	C₂²	1	1	yes	characteristic
115	#15689320	C₂²	1	1	yes	characteristic
116	#15689320	C₂²	1	1	yes	characteristic, complemented
117	#15689320	C₂²	1	1	yes	characteristic, complemented
118	#15689320	C₂²	1	1	yes	characteristic, complemented
119	#15689320	C₂²	1	1	yes	characteristic, complemented
120	#15689320	C₂²	1	1	yes	characteristic, complemented
121	#15689320	C₂²	1	1	yes	characteristic, complemented
122	#15689320	C₂²	1	1	yes	characteristic, complemented
123	#15689320	C₂²	1	1	yes	characteristic, complemented
124	#15689320	C₂²	1	1	yes	characteristic, complemented
125	#15689320	C₂²	1	1	yes	characteristic, complemented
126	#15689320	C₂²	1	1	yes	characteristic, complemented
127	#15689315	C₂²	1	1	yes	characteristic, complemented
128	#15689315	C₂²	1	1	yes	characteristic, complemented
129	#15689315	C₂²	1	1	yes	characteristic, complemented
130	#15689285	C₂²	1	1	yes	characteristic, complemented
131	#15689285	C₂²	1	1	yes	characteristic, complemented
132	#15689285	C₂²	1	1	yes	characteristic, complemented
133	#15689278	C₂²	1	1	yes	characteristic, complemented
134	#15689274	C₂²	1	1	yes	characteristic, complemented
135	#15689274	C₂²	1	1	yes	characteristic, complemented
136	#15689274	C₂²	1	1	yes	characteristic, complemented
137	#15689274	C₂²	1	1	yes	characteristic, complemented
138	#15689274	C₂²	1	1	yes	characteristic, complemented
139	#15689268	C₂²	1	1	yes	characteristic, complemented
140	#15689266	C₂²	1	1	yes	characteristic, complemented
141	#15689266	C₂²	1	1	yes	characteristic, complemented
142	#15689261	C₂²	1	1	yes	characteristic
143	#15689261	C₂²	1	1	yes	characteristic, complemented
144	#15689261	C₂²	1	1	yes	characteristic, complemented
145	#15689257	C₂²	1	1	yes	characteristic, complemented
146	#15689257	C₂²	1	1	yes	characteristic, complemented
147	#15689257	C₂²	1	1	yes	characteristic, complemented
148	#15689254	C₂²	1	1	yes	characteristic, complemented
149	#15689254	C₂²	1	1	yes	characteristic, complemented
150	#15689233	C₂²	1	1	yes	characteristic, complemented
151	#15689228	C₂²	1	1	yes	characteristic, complemented
152	#15689228	C₂²	1	1	yes	characteristic, complemented
153	#15689223	C₂²	1	1	yes	characteristic, complemented
154	#15689223	C₂²	1	1	yes	characteristic, complemented
155	#15689223	C₂²	1	1	yes	characteristic, complemented
156	#15689223	C₂²	1	1	yes	characteristic, complemented
157	#15689223	C₂²	1	1	yes	characteristic, complemented
158	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
159	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
160	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
161	C₄×#10625334	C₂²	1	1	yes	characteristic, complemented
162	#15689195	C₂²	1	1	yes	characteristic, complemented
163	#15689195	C₂²	1	1	yes	characteristic, complemented
164	#15689195	C₂²	1	1	yes	characteristic, complemented
165	#15689195	C₂²	1	1	yes	characteristic, complemented
166	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
168	#15689184	C₂²	1	1	yes	characteristic, complemented
169	#15689184	C₂²	1	1	yes	characteristic, complemented
170	#15689180	C₂²	1	1	yes	characteristic, complemented
171	#15689150	C₂²	1	1	yes	characteristic, complemented
172	#15689150	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
174	#15689128	C₂²	1	1	yes	characteristic, complemented
175	#15689124	C₂²	1	1	yes	characteristic, complemented
176	#15689119	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
178	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13093945	C₂²	1	1	yes	characteristic, complemented
180	C₄₇×#560	—	2	1	no	—
181	C₄₇×#560	—	2	1	no	—
182	C₄₇×#559	C₂²	1	1	yes	characteristic
183	C₄₇×#550	C₂²	1	1	yes	characteristic
184	C₄₇×#550	C₂²	1	1	yes	characteristic
185	C₄₇×#546	—	2	1	no	—
186	C₄₇×#546	C₂²	1	1	yes	characteristic
187	C₄₇×#546	C₂²	1	1	yes	characteristic
188	D₄²×C₄₇	—	2	1	no	—
189	D₄²×C₄₇	C₂²	1	1	yes	characteristic
190	D₄²×C₄₇	C₂²	1	1	yes	characteristic
191	D₄²×C₄₇	C₂²	1	1	yes	characteristic
192	C₄₇×#540	—	2	1	no	—
193	C₄₇×#540	C₂²	1	1	yes	characteristic
194	C₄₇×#540	C₂²	1	1	yes	characteristic
195	C₄₇×#535	—	2	1	no	—
196	C₄₇×#535	C₂²	1	1	yes	characteristic
197	C₄₇×#535	C₂²	1	1	yes	characteristic
198	C₄₇×#534	—	2	1	no	—
199	C₄₇×#534	—	2	1	no	—
200	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
201	C₄₇×#529	C₂²	1	1	yes	characteristic
202	C₄₇×#529	C₂²	1	1	yes	characteristic
203	C₂×#10625350	C₂³	1	1	yes	characteristic
204	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
205	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
206	#13094054	—	4	2	no	—
207	#13094050	—	4	2	no	—
208	#13094044	—	4	2	no	—
209	C₂×#10625337	C₂³	1	1	yes	characteristic
210	C₂×#10625337	C₂³	1	1	yes	characteristic
211	C₂×#10625337	C₂³	1	1	yes	characteristic
212	C₂×#10625335	—	4	2	no	—
213	C₂×#10625335	—	4	2	no	—
214	C₂×#10625335	—	4	2	no	—
215	C₂×#10625335	C₂³	1	1	yes	characteristic
216	C₂×#10625335	C₂³	1	1	yes	characteristic
217	C₂×#10625335	C₂³	1	1	yes	characteristic
218	C₂×#10625335	C₂³	1	1	yes	characteristic
219	C₂×#10625335	C₂³	1	1	yes	characteristic
220	C₂×#10625335	C₂³	1	1	yes	characteristic
221	C₂×#10625335	C₂³	1	1	yes	characteristic
222	C₂×#10625335	C₂³	1	1	yes	characteristic
223	C₂×#10625335	C₂³	1	1	yes	characteristic
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×#10625336	C₂³	1	1	yes	characteristic
231	C₂×#10625334	C₂³	1	1	yes	characteristic
232	C₂×#10625334	C₂³	1	1	yes	characteristic
233	C₂×#10625334	C₂³	1	1	yes	characteristic
234	C₂×#10625334	C₂³	1	1	yes	characteristic
235	C₂×#10625334	C₂³	1	1	yes	characteristic
236	C₂×#10625329	C₂³	1	1	yes	characteristic
237	C₂×#10625329	C₂³	1	1	yes	characteristic
238	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
239	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
240	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
241	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
242	#13094024	C₂³	1	1	yes	characteristic
243	#13094024	C₂³	1	1	yes	characteristic
244	#13094023	—	2	1	no	—
245	#13094022	—	2	1	no	—
246	#13094019	—	2	1	no	—
247	#13094019	—	2	1	no	—
248	#13094019	—	2	1	no	—
249	#13094019	—	2	1	no	—
250	#13094018	—	2	1	no	—
251	#13094017	—	2	1	no	—
252	#13094017	—	2	1	no	—
253	#13094017	—	2	1	no	—
254	#13094016	C₂³	1	1	yes	characteristic
255	#13094016	C₂³	1	1	yes	characteristic
256	#13094015	—	2	1	no	—
257	#13094014	—	2	1	no	—
258	#13094014	—	2	1	no	—
259	#13094014	—	2	1	no	—
260	#13094014	—	2	1	no	—
261	#13094014	—	2	1	no	—
262	#13094012	C₂³	1	1	yes	characteristic
263	#13094012	C₂³	1	1	yes	characteristic
264	#13094010	—	2	1	no	—
265	#13094010	—	2	1	no	—
266	#13094010	—	2	1	no	—
267	#13094007	—	2	1	no	—
268	#13094006	—	2	1	no	—
269	#13094006	—	2	1	no	—
270	#13094005	—	2	1	no	—
271	#13094003	C₂³	1	1	yes	characteristic
272	#13094003	C₂³	1	1	yes	characteristic
273	#13094003	C₂³	1	1	yes	characteristic
274	#13094003	C₂³	1	1	yes	characteristic
275	#13094002	—	2	1	no	—
276	#13094002	—	2	1	no	—
277	#13094002	—	2	1	no	—
278	#13094001	—	2	1	no	—
279	#13094001	—	2	1	no	—
280	#13094001	—	2	1	no	—
281	#13094001	—	2	1	no	—
282	#13094000	—	2	1	no	—
283	#13093998	C₂³	1	1	yes	characteristic
284	#13093998	C₂³	1	1	yes	characteristic
285	#13093996	—	2	1	no	—
286	#13093996	—	2	1	no	—
287	#13093996	—	2	1	no	—
288	C₄×Dic₉₄	—	2	1	no	—
289	C₄×Dic₉₄	—	2	1	no	—
290	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
291	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
292	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
293	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
294	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
295	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
296	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
297	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
298	#13093989	—	2	1	no	—
299	#13093989	—	2	1	no	—
300	#13093989	—	2	1	no	—
301	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
302	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
303	D₄×Dic₄₇	—	2	1	no	—
304	D₄×Dic₄₇	—	2	1	no	—
305	C₄×C₂²⋊D₄₇	—	2	1	no	—
306	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
307	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
308	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
309	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
310	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
311	#13093983	C₂³	1	1	yes	characteristic
312	#13093982	—	2	1	no	—
313	#13093982	—	2	1	no	—
314	#13093981	—	2	1	no	—
315	#13093980	—	2	1	no	—
316	#13093980	—	2	1	no	—
317	#13093980	—	2	1	no	—
318	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
320	C₂×Dic₄₇⋊C₄	—	2	1	no	—
321	C₄⋊C₄×D₄₇	—	2	1	no	—
322	C₂×C₄×Dic₄₇	—	2	1	no	—
323	#13093957	C₂³	1	1	yes	characteristic
324	#13093957	C₂³	1	1	yes	characteristic
325	#13093957	C₂³	1	1	yes	characteristic
326	#13093957	C₂³	1	1	yes	characteristic
327	#13093955	C₂³	1	1	yes	characteristic
328	#13093955	C₂³	1	1	yes	characteristic
329	#13093955	C₂³	1	1	yes	characteristic
330	#13093955	C₂³	1	1	yes	characteristic
331	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
332	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
333	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
334	C₄⋊(C₄₇⋊C₈)	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	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
340	C₄⋊(C₄₇⋊C₈)	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	#13093947	C₂³	1	1	yes	characteristic
346	#13093947	C₂³	1	1	yes	characteristic
347	#13093947	C₂³	1	1	yes	characteristic
348	#13093947	C₂³	1	1	yes	characteristic
349	#13093947	C₂³	1	1	yes	characteristic
350	#13093947	C₂³	1	1	yes	characteristic
351	#13093945	C₂³	1	1	yes	characteristic
352	#13093945	C₂³	1	1	yes	characteristic
353	#13093945	C₂³	1	1	yes	characteristic
354	#13093945	C₂³	1	1	yes	characteristic
355	#13093945	C₂³	1	1	yes	characteristic
356	#13093945	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	#13093945	C₂³	1	1	yes	characteristic
370	#13093945	C₂³	1	1	yes	characteristic
371	#13093944	C₂³	1	1	yes	characteristic
372	#13093944	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	#13093935	C₂³	1	1	yes	characteristic
380	#13093935	C₂³	1	1	yes	characteristic
381	#13093935	C₂³	1	1	yes	characteristic
382	#13093935	C₂³	1	1	yes	characteristic
383	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
384	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
385	C₂×#41×C₄₇	—	2	1	no	—
386	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
387	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
388	C₂²×D₄×C₄₇	—	2	1	no	—
389	C₂²×D₄×C₄₇	—	2	1	no	—
390	C₂²×D₄×C₄₇	—	2	1	no	—
391	C₂²×D₄×C₄₇	—	2	1	no	—
392	C₂²×D₄×C₄₇	—	2	1	no	—
393	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
394	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
395	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
396	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
397	#127×C₄₇	—	2	1	no	—
398	#127×C₄₇	—	2	1	no	—
399	#127×C₄₇	—	2	1	no	—
400	#127×C₄₇	C₂³	1	1	yes	characteristic
401	#127×C₄₇	C₂³	1	1	yes	characteristic
402	#127×C₄₇	C₂³	1	1	yes	characteristic
403	#127×C₄₇	C₂³	1	1	yes	characteristic
404	#127×C₄₇	C₂³	1	1	yes	characteristic
405	#127×C₄₇	C₂³	1	1	yes	characteristic
406	#126×C₄₇	—	2	1	no	—
407	#126×C₄₇	D₄	1	1	yes	characteristic
408	#126×C₄₇	D₄	1	1	yes	characteristic
409	#125×C₄₇	D₄	1	1	yes	characteristic
410	#125×C₄₇	C₂³	1	1	yes	characteristic
411	#124×C₄₇	—	2	1	no	—
412	#124×C₄₇	D₄	1	1	yes	characteristic
413	#124×C₄₇	C₂³	1	1	yes	characteristic
414	#124×C₄₇	C₂³	1	1	yes	characteristic
415	#124×C₄₇	C₂³	1	1	yes	characteristic
416	#123×C₄₇	—	2	1	no	—
417	#123×C₄₇	—	2	1	no	—
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	D₄	1	1	yes	characteristic
426	#123×C₄₇	D₄	1	1	yes	characteristic
427	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
428	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
429	#121×C₄₇	—	2	1	no	—
430	#121×C₄₇	—	2	1	no	—
431	#121×C₄₇	—	2	1	no	—
432	#121×C₄₇	—	2	1	no	—
433	#121×C₄₇	—	2	1	no	—
434	#121×C₄₇	—	2	1	no	—
435	#121×C₄₇	—	2	1	no	—
436	#121×C₄₇	—	2	1	no	—
437	#121×C₄₇	—	2	1	no	—
438	#121×C₄₇	—	2	1	no	—
439	#121×C₄₇	—	2	1	no	—
440	#121×C₄₇	—	2	1	no	—
441	#121×C₄₇	—	2	1	no	—
442	#121×C₄₇	—	2	1	no	—
443	#121×C₄₇	—	2	1	no	—
444	#121×C₄₇	—	2	1	no	—
445	#121×C₄₇	—	2	1	no	—
446	#121×C₄₇	—	2	1	no	—
447	#121×C₄₇	D₄	1	1	yes	characteristic
448	#121×C₄₇	C₂³	1	1	yes	characteristic
449	#121×C₄₇	C₂³	1	1	yes	characteristic
450	#121×C₄₇	C₂³	1	1	yes	characteristic
451	#121×C₄₇	C₂³	1	1	yes	characteristic
452	#121×C₄₇	C₂³	1	1	yes	characteristic
453	#120×C₄₇	—	2	1	no	—
454	#120×C₄₇	—	2	1	no	—
455	#120×C₄₇	—	2	1	no	—
456	#120×C₄₇	—	2	1	no	—
457	#120×C₄₇	—	2	1	no	—
458	#120×C₄₇	—	2	1	no	—
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	—	2	1	no	—
465	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
466	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
479	#117×C₄₇	C₂³	1	1	yes	characteristic
480	#117×C₄₇	C₂³	1	1	yes	characteristic
481	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
482	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
483	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
484	C₂⁴×C₄₇	—	2	1	no	—
485	C₂⁴×C₄₇	—	2	1	no	—
486	C₂⁴×C₄₇	—	2	1	no	—
487	C₂⁴×C₄₇	—	2	1	no	—
488	#41×C₄₇	—	4	1	no	—
489	#41×C₄₇	—	4	1	no	—
490	#41×C₄₇	—	4	1	no	—
491	#41×C₄₇	—	4	1	no	—
492	#41×C₄₇	—	8	2	no	—
493	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₄₇	—	2	1	no	—
496	C₂×D₄×C₄₇	—	2	1	no	—
497	C₂×D₄×C₄₇	—	2	1	no	—
498	C₂×D₄×C₄₇	—	2	1	no	—
499	C₂×D₄×C₄₇	—	2	1	no	—
500	C₂×D₄×C₄₇	—	2	1	no	—
501	C₂×D₄×C₄₇	—	2	1	no	—
502	C₂×D₄×C₄₇	—	2	1	no	—
503	C₂×D₄×C₄₇	—	2	1	no	—
504	C₂×D₄×C₄₇	—	2	1	no	—
505	C₂×D₄×C₄₇	—	2	1	no	—
506	C₂×D₄×C₄₇	—	2	1	no	—
507	C₂×D₄×C₄₇	—	2	1	no	—
508	C₂×D₄×C₄₇	—	2	1	no	—
509	C₂×D₄×C₄₇	—	2	1	no	—
510	C₂×D₄×C₄₇	—	2	1	no	—
511	C₂×D₄×C₄₇	—	2	1	no	—
512	C₂×D₄×C₄₇	—	2	1	no	—
513	C₂×D₄×C₄₇	—	2	1	no	—
514	C₂×D₄×C₄₇	—	2	1	no	—
515	C₂×D₄×C₄₇	—	2	1	no	—
516	C₂×D₄×C₄₇	—	2	1	no	—
517	C₂×D₄×C₄₇	—	2	1	no	—
518	C₂×D₄×C₄₇	—	4	1	no	—
519	C₂×D₄×C₄₇	—	4	1	no	—
520	C₂×D₄×C₄₇	—	4	1	no	—
521	C₂×D₄×C₄₇	—	4	1	no	—
522	C₂×D₄×C₄₇	—	4	1	no	—
523	C₂×D₄×C₄₇	—	4	1	no	—
524	C₂×D₄×C₄₇	—	4	1	no	—
525	C₂×D₄×C₄₇	—	4	1	no	—
526	C₂×D₄×C₄₇	—	8	2	no	—
527	C₂×D₄×C₄₇	—	8	2	no	—
528	C₂×D₄×C₄₇	—	8	2	no	—
529	C₂×D₄×C₄₇	—	8	2	no	—
530	C₂×D₄×C₄₇	—	8	2	no	—
531	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
532	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
533	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
534	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
535	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
536	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
538	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₄₇	—	2	1	no	—
540	C₂²×C₄×C₄₇	—	2	1	no	—
541	C₂²×C₄×C₄₇	—	2	1	no	—
542	C₂²×C₄×C₄₇	—	2	1	no	—
543	C₂²×C₄×C₄₇	—	2	1	no	—
544	C₂²×C₄×C₄₇	—	2	1	no	—
545	C₂²×C₄×C₄₇	—	2	1	no	—
546	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
551	C₂×C₂²⋊D₄₇	—	2	1	no	—
552	C₂×C₂²⋊D₄₇	—	2	1	no	—
553	C₂×C₂²⋊D₄₇	—	2	1	no	—
554	C₂²×Dic₄₇	—	2	1	no	—
555	C₂²×Dic₄₇	—	2	1	no	—
556	C₂²×Dic₄₇	—	2	1	no	—
557	C₂²×Dic₄₇	—	2	1	no	—
558	#10625350	—	2	2	no	—
559	#10625350	—	4	1	no	—
560	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
561	C₂×C₄×D₄₇	—	2	1	no	—
562	C₂×C₄×D₄₇	—	2	1	no	—
563	C₂×C₄×D₄₇	—	2	1	no	—
564	C₂×Dic₉₄	—	2	2	no	—
565	C₂×Dic₉₄	—	2	2	no	—
566	C₂×Dic₉₄	—	2	1	no	—
567	C₂×Dic₉₄	—	2	1	no	—
568	C₂×Dic₉₄	—	2	1	no	—
569	C₂×Dic₉₄	—	4	1	no	—
570	C₂×Dic₉₄	—	4	1	no	—
571	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
574	C₄⋊C₄×C₄₇	—	2	1	no	—
575	C₄⋊C₄×C₄₇	—	2	1	no	—
576	C₄⋊C₄×C₄₇	—	2	1	no	—
577	C₄⋊C₄×C₄₇	—	2	1	no	—
578	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
579	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
580	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
581	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
582	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
583	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
584	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
585	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
586	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
587	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
588	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
589	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
590	C₂²⋊C₄×C₄₇	—	2	1	no	—
591	C₂²⋊C₄×C₄₇	—	2	1	no	—
592	C₂²⋊C₄×C₄₇	—	2	1	no	—
593	C₂²⋊C₄×C₄₇	—	2	1	no	—
594	C₂²⋊C₄×C₄₇	—	2	1	no	—
595	C₂²⋊C₄×C₄₇	—	2	1	no	—
596	C₂²⋊C₄×C₄₇	—	2	1	no	—
597	C₂²⋊C₄×C₄₇	—	2	1	no	—
598	C₂²⋊C₄×C₄₇	—	2	1	no	—
599	C₂²⋊C₄×C₄₇	—	2	1	no	—
600	C₂²⋊C₄×C₄₇	—	2	1	no	—
601	C₂²⋊C₄×C₄₇	—	2	1	no	—
602	C₂²⋊C₄×C₄₇	—	2	1	no	—
603	C₂²⋊C₄×C₄₇	—	2	1	no	—
604	C₂²⋊C₄×C₄₇	—	2	1	no	—
605	C₂²⋊C₄×C₄₇	—	2	1	no	—
606	C₂²⋊C₄×C₄₇	—	2	1	no	—
607	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
608	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
609	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
610	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
611	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
612	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
613	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
615	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
616	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₄₇	—	2	1	no	—
618	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
619	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
621	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
622	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
623	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
624	C₂²⋊Dic₄₇	—	2	1	no	—
625	C₂²⋊Dic₄₇	—	2	1	no	—
626	C₂²⋊Dic₄₇	—	2	1	no	—
627	C₂²⋊Dic₄₇	—	2	1	no	—
628	C₂²⋊Dic₄₇	—	2	1	no	—
629	#10625337	—	2	2	no	—
630	#10625337	—	4	1	no	—
631	#10625337	—	4	1	no	—
632	#10625336	—	4	1	no	—
633	#10625335	—	2	2	no	—
634	#10625335	—	2	2	no	—
635	#10625335	—	2	2	no	—
636	#10625335	—	2	2	no	—
637	#10625335	—	2	2	no	—
638	#10625335	—	4	1	no	—
639	#10625335	—	4	1	no	—
640	#10625335	—	4	1	no	—
641	#10625335	—	4	1	no	—
642	#10625335	—	4	1	no	—
643	#10625335	—	4	1	no	—
644	#10625335	—	4	1	no	—
645	#10625335	—	4	1	no	—
646	#10625335	—	4	1	no	—
647	#10625335	—	4	1	no	—
648	#10625334	—	4	1	no	—
649	#10625334	—	4	1	no	—
650	#10625334	—	4	1	no	—
651	#10625334	—	4	1	no	—
652	#10625334	—	4	1	no	—
653	(C₂×D₄₇)⋊C₄	—	2	1	no	—
654	(C₂×D₄₇)⋊C₄	—	2	1	no	—
655	(C₂×D₄₇)⋊C₄	—	2	1	no	—
656	(C₂×D₄₇)⋊C₄	—	2	1	no	—
657	(C₂×D₄₇)⋊C₄	—	2	1	no	—
658	(C₂×D₄₇)⋊C₄	—	2	1	no	—
659	(C₂×D₄₇)⋊C₄	—	2	1	no	—
660	(C₂×D₄₇)⋊C₄	—	2	1	no	—
661	C₄⋊Dic₄₇	—	2	1	no	—
662	C₄⋊Dic₄₇	—	2	1	no	—
663	C₄⋊Dic₄₇	—	2	1	no	—
664	C₄⋊Dic₄₇	—	2	1	no	—
665	C₄⋊Dic₄₇	—	2	1	no	—
666	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
670	Dic₄₇⋊C₄	—	2	1	no	—
671	Dic₄₇⋊C₄	—	2	1	no	—
672	Dic₄₇⋊C₄	—	2	1	no	—
673	Dic₄₇⋊C₄	—	2	1	no	—
674	Dic₄₇⋊C₄	—	2	1	no	—
675	Dic₄₇⋊C₄	—	2	1	no	—
676	Dic₄₇⋊C₄	—	2	1	no	—
677	Dic₄₇⋊C₄	—	2	1	no	—
678	Dic₄₇⋊C₄	—	2	1	no	—
679	Dic₄₇⋊C₄	—	2	1	no	—
680	Dic₄₇⋊C₄	—	2	1	no	—
681	Dic₄₇⋊C₄	—	2	1	no	—
682	Dic₄₇⋊C₄	—	2	1	no	—
683	Dic₄₇⋊C₄	—	2	1	no	—
684	Dic₄₇⋊C₄	—	2	1	no	—
685	Dic₄₇⋊C₄	—	2	1	no	—
686	C₄×Dic₄₇	—	2	1	no	—
687	C₄×Dic₄₇	—	2	1	no	—
688	C₄×Dic₄₇	—	2	1	no	—
689	C₄×Dic₄₇	—	2	1	no	—
690	C₄×Dic₄₇	—	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	#10625329	—	4	1	no	—
696	#10625329	—	4	1	no	—
697	C₂×C₄₇⋊C₈	—	4	1	no	—
698	C₂×C₄₇⋊C₈	—	4	1	no	—
699	C₂×C₄₇⋊C₈	—	4	1	no	—
700	C₂×C₄₇⋊C₈	—	4	1	no	—
701	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
702	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
703	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
704	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
705	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
706	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
707	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
708	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
709	C₂³×C₄₇	—	2	1	no	—
710	C₂³×C₄₇	—	2	1	no	—
711	C₂³×C₄₇	—	2	1	no	—
712	C₂³×C₄₇	—	2	1	no	—
713	C₂³×C₄₇	—	2	1	no	—
714	C₂³×C₄₇	—	4	2	no	—
715	C₂³×C₄₇	—	4	2	no	—
716	C₂³×C₄₇	—	8	1	no	—
717	C₂³×C₄₇	—	8	1	no	—
718	C₂³×C₄₇	—	8	1	no	—
719	C₂³×C₄₇	—	8	1	no	—
720	C₂³×C₄₇	—	8	1	no	—
721	C₂³×C₄₇	—	8	1	no	—
722	C₂³×C₄₇	—	8	1	no	—
723	C₂³×C₄₇	—	8	1	no	—
724	C₂³×C₄₇	—	8	1	no	—
725	C₂³×C₄₇	—	8	1	no	—
726	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
727	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
728	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
729	C₂²×D₄₇	—	2	1	no	—
730	Q₈×C₄₇	—	2	1	no	—
731	Q₈×C₄₇	—	2	1	no	—
732	Q₈×C₄₇	—	4	1	no	—
733	D₄×C₄₇	—	2	2	no	—
734	D₄×C₄₇	—	2	2	no	—
735	D₄×C₄₇	—	2	1	no	—
736	D₄×C₄₇	—	2	1	no	—
737	D₄×C₄₇	—	2	1	no	—
738	D₄×C₄₇	—	2	1	no	—
739	D₄×C₄₇	—	2	1	no	—
740	D₄×C₄₇	—	2	1	no	—
741	D₄×C₄₇	—	2	1	no	—
742	D₄×C₄₇	—	2	1	no	—
743	D₄×C₄₇	—	2	1	no	—
744	D₄×C₄₇	—	2	1	no	—
745	D₄×C₄₇	—	4	1	no	—
746	D₄×C₄₇	—	4	2	no	—
747	D₄×C₄₇	—	4	2	no	—
748	D₄×C₄₇	—	4	2	no	—
749	D₄×C₄₇	—	8	1	no	—
750	D₄×C₄₇	—	8	1	no	—
751	D₄×C₄₇	—	8	1	no	—
752	D₄×C₄₇	—	8	1	no	—
753	D₄×C₄₇	—	8	1	no	—
754	D₄×C₄₇	—	8	1	no	—
755	D₄×C₄₇	—	8	1	no	—
756	D₄×C₄₇	—	8	1	no	—
757	D₄×C₄₇	—	8	1	no	—
758	D₄×C₄₇	—	8	1	no	—
759	D₄×C₄₇	—	8	1	no	—
760	D₄×C₄₇	—	8	1	no	—
761	D₄×C₄₇	—	8	1	no	—
762	D₄×C₄₇	—	8	1	no	—
763	D₄×C₄₇	—	8	1	no	—
764	D₄×C₄₇	—	8	1	no	—
765	D₄×C₄₇	—	8	1	no	—
766	D₄×C₄₇	—	8	1	no	—
767	D₄×C₄₇	—	8	1	no	—
768	D₄×C₄₇	—	8	1	no	—
769	C₂×C₄×C₄₇	—	2	2	no	—
770	C₂×C₄×C₄₇	—	2	1	no	—
771	C₂×C₄×C₄₇	—	2	1	no	—
772	C₂×C₄×C₄₇	—	2	1	no	—
773	C₂×C₄×C₄₇	—	2	1	no	—
774	C₂×C₄×C₄₇	—	2	1	no	—
775	C₂×C₄×C₄₇	—	2	1	no	—
776	C₂×C₄×C₄₇	—	2	1	no	—
777	C₂×C₄×C₄₇	—	2	1	no	—
778	C₂×C₄×C₄₇	—	2	1	no	—
779	C₂×C₄×C₄₇	—	4	1	no	—
780	C₂×C₄×C₄₇	—	4	2	no	—
781	C₂×C₄×C₄₇	—	8	1	no	—
782	C₂×C₄×C₄₇	—	8	1	no	—
783	C₂×C₄×C₄₇	—	8	1	no	—
784	C₂×C₄×C₄₇	—	8	1	no	—
785	C₂×C₄×C₄₇	—	8	1	no	—
786	C₂×C₄×C₄₇	—	8	1	no	—
787	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
788	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
789	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
795	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
796	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
797	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
798	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
799	C₂²⋊D₄₇	—	4	2	no	—
800	C₂²⋊D₄₇	—	4	2	no	—
801	C₂²⋊D₄₇	—	8	1	no	—
802	C₂×Dic₄₇	—	2	1	no	—
803	C₂×Dic₄₇	—	2	1	no	—
804	C₂×Dic₄₇	—	2	1	no	—
805	C₂×Dic₄₇	—	2	1	no	—
806	C₂×Dic₄₇	—	2	1	no	—
807	C₂×Dic₄₇	—	2	1	no	—
808	C₂×Dic₄₇	—	2	1	no	—
809	C₂×Dic₄₇	—	4	2	no	—
810	C₂×Dic₄₇	—	4	2	no	—
811	C₂×Dic₄₇	—	8	1	no	—
812	C₂×Dic₄₇	—	8	1	no	—
813	D₁₈₈	—	2	1	no	—
814	D₁₈₈	—	2	1	no	—
815	C₄×D₄₇	—	4	2	no	—
816	C₄×D₄₇	—	8	1	no	—
817	C₄×D₄₇	—	8	1	no	—
818	Dic₉₄	—	2	1	no	—
819	Dic₉₄	—	2	1	no	—
820	Dic₉₄	—	2	1	no	—
821	Dic₉₄	—	2	1	no	—
822	Dic₉₄	—	2	1	no	—
823	Dic₉₄	—	4	2	no	—
824	Dic₉₄	—	4	2	no	—
825	Dic₉₄	—	8	1	no	—
826	Dic₉₄	H(5,𝔽₂)	1	2	yes	—
827	C₄₇⋊C₈	—	2	1	no	—
828	C₄₇⋊C₈	—	2	1	no	—
829	C₄₇⋊C₈	—	2	1	no	—
830	C₄₇⋊C₈	—	2	1	no	—
831	C₄₇⋊C₈	—	2	1	no	—
832	C₄₇⋊C₈	—	2	1	no	—
833	C₄₇⋊C₈	—	2	1	no	—
834	C₄₇⋊C₈	—	2	1	no	—
835	#62009	—	47	1	no	maximal, Sylow
836	C₂²×C₄₇	—	2	1	no	—
837	C₂²×C₄₇	—	2	1	no	—
838	C₂²×C₄₇	—	2	1	no	—
839	C₂²×C₄₇	—	2	1	no	—
840	C₂²×C₄₇	—	2	1	no	—
841	C₂²×C₄₇	—	2	1	no	—
842	C₂²×C₄₇	—	2	1	no	—
843	C₂²×C₄₇	—	2	1	no	—
844	C₂²×C₄₇	—	4	1	no	—
845	C₂²×C₄₇	—	4	1	no	—
846	C₂²×C₄₇	—	4	1	no	—
847	C₂²×C₄₇	—	4	1	no	—
848	C₂²×C₄₇	—	4	1	no	—
849	C₂²×C₄₇	—	4	1	no	—
850	C₂²×C₄₇	—	4	1	no	—
851	C₂²×C₄₇	—	4	1	no	—
852	C₂²×C₄₇	—	4	1	no	—
853	C₂²×C₄₇	—	4	1	no	—
854	C₂²×C₄₇	—	4	1	no	—
855	C₂²×C₄₇	—	4	1	no	—
856	C₂²×C₄₇	—	4	1	no	—
857	C₂²×C₄₇	—	4	1	no	—
858	C₂²×C₄₇	—	4	1	no	—
859	C₂²×C₄₇	—	16	2	no	—
860	C₂²×C₄₇	—	16	2	no	—
861	C₂²×C₄₇	—	16	2	no	—
862	C₂²×C₄₇	—	16	2	no	—
863	C₂²×C₄₇	#577	1	2	yes	—
864	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
865	C₂×D₄₇	—	4	1	no	—
866	C₂×D₄₇	—	4	1	no	—
867	C₂×D₄₇	—	4	1	no	—
868	C₄×C₄₇	—	2	1	no	—
869	C₄×C₄₇	—	2	1	no	—
870	C₄×C₄₇	—	2	1	no	—
871	C₄×C₄₇	—	2	1	no	—
872	C₄×C₄₇	—	2	1	no	—
873	C₄×C₄₇	—	2	1	no	—
874	C₄×C₄₇	—	2	1	no	—
875	C₄×C₄₇	—	2	1	no	—
876	C₄×C₄₇	—	2	1	no	—
877	C₄×C₄₇	—	2	1	no	—
878	C₄×C₄₇	—	2	1	no	—
879	C₄×C₄₇	—	4	1	no	—
880	C₄×C₄₇	—	4	1	no	—
881	C₄×C₄₇	—	4	1	no	—
882	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
883	C₄×C₄₇	#585	1	1	yes	characteristic
884	Dic₄₇	—	2	2	no	—
885	Dic₄₇	—	4	1	no	—
886	Dic₄₇	—	4	1	no	—
887	Dic₄₇	—	4	1	no	—
888	Dic₄₇	—	4	1	no	—
889	Dic₄₇	—	4	1	no	—
890	Dic₄₇	—	4	1	no	—
891	#3543	D₄₇	1	1	yes	characteristic, complemented
892	#3516	—	47	1	no	—
893	#3401	—	47	1	no	—
894	#3397	—	47	1	no	—
895	#3371	—	47	1	no	—
896	#3368	—	47	1	no	—
897	#3318	—	47	1	no	—
898	#3317	—	47	1	no	—
899	#3314	—	47	1	no	—
900	#3310	—	47	1	no	—
901	#3297	—	47	1	no	—
902	#3295	—	47	1	no	—
903	#3282	—	47	1	no	—
904	D₄×SD₁₆	—	47	1	no	—
905	#3271	—	47	1	no	—
906	#3266	—	47	1	no	—
907	#3265	—	47	1	no	—
908	#3265	—	47	1	no	—
909	#3260	—	47	1	no	—
910	#3257	—	47	1	no	—
911	#3250	—	47	1	no	—
912	#3224	—	47	1	no	—
913	#3222	—	47	1	no	—
914	#3217	—	47	1	no	—
915	#3126	—	47	1	no	—
916	#3119	—	47	1	no	—
917	#3117	—	47	1	no	—
918	#3045	—	47	1	no	—
919	#3043	—	47	1	no	—
920	C₂×#460	—	47	1	no	—
921	#2992	—	47	1	no	—
922	C₂×C₄₇	—	2	2	no	—
923	C₂×C₄₇	—	4	1	no	—
924	C₂×C₄₇	—	4	1	no	—
925	C₂×C₄₇	—	8	1	no	—
926	C₂×C₄₇	—	8	1	no	—
927	C₂×C₄₇	—	8	1	no	—
928	C₂×C₄₇	—	8	1	no	—
929	C₂×C₄₇	—	8	1	no	—
930	C₂×C₄₇	#3488	1	1	yes	characteristic
931	C₂×C₄₇	C₂×#577	1	1	yes	characteristic
932	C₂×C₄₇	#3585	1	1	yes	characteristic
933	D₄₇	—	8	1	no	—
934	C₂×#137	—	47	1	no	—
935	C₂×AGL(1,ℤ/8)	—	47	1	no	—
936	C₂×#135	—	47	1	no	—
937	C₂²×SD₁₆	—	47	1	no	—
938	C₂²×SD₁₆	—	47	1	no	—
939	C₂²×SD₁₆	—	47	1	no	—
940	#560	—	2	1	no	—
941	#560	—	2	1	no	—
942	#559	C₂×D₄₇	1	1	yes	characteristic
943	#557	—	47	1	no	—
944	#556	—	47	1	no	—
945	#556	—	94	1	no	—
946	#554	—	47	1	no	—
947	#554	—	94	1	no	—
948	#553	—	47	1	no	—
949	#553	—	94	1	no	—
950	#552	—	47	1	no	—
951	#552	—	94	1	no	—
952	#550	C₂×D₄₇	1	1	yes	characteristic
953	#550	C₂×D₄₇	1	1	yes	characteristic
954	D₄×Q₈	—	47	1	no	—
955	#548	—	47	1	no	—
956	#548	—	47	1	no	—
957	#546	—	2	1	no	—
958	#546	C₂×D₄₇	1	1	yes	characteristic
959	#546	C₂×D₄₇	1	1	yes	characteristic
960	D₄²	—	2	1	no	—
961	D₄²	C₂×D₄₇	1	1	yes	characteristic
962	D₄²	C₂×D₄₇	1	1	yes	characteristic
963	D₄²	C₂×D₄₇	1	1	yes	characteristic
964	#542	—	47	1	no	—
965	#542	—	94	1	no	—
966	#541	—	47	1	no	—
967	#541	—	94	1	no	—
968	#540	—	2	1	no	—
969	#540	C₂×D₄₇	1	1	yes	characteristic
970	#540	C₂×D₄₇	1	1	yes	characteristic
971	#535	—	2	1	no	—
972	#535	C₂×D₄₇	1	1	yes	characteristic
973	#535	C₂×D₄₇	1	1	yes	characteristic
974	#534	—	2	1	no	—
975	#534	—	2	1	no	—
976	C₂×#127	C₂×D₄₇	1	1	yes	characteristic
977	#529	—	47	1	no	—
978	#529	—	94	1	no	—
979	#529	—	94	1	no	—
980	#529	C₂×D₄₇	1	1	yes	characteristic
981	#529	C₂×D₄₇	1	1	yes	characteristic
982	#520	—	47	1	no	—
983	#519	—	47	1	no	—
984	C₂×C₄×Q₈	—	47	1	no	—
985	#497	—	47	1	no	—
986	#496	—	47	1	no	—
987	#496	—	47	1	no	—
988	#496	—	47	1	no	—
989	#495	—	47	1	no	—
990	#492	—	47	1	no	—
991	#490	—	47	1	no	—
992	#490	—	47	1	no	—
993	#490	—	47	1	no	—
994	#489	—	47	1	no	—
995	#488	—	47	1	no	—
996	#486	—	47	1	no	—
997	#484	—	47	1	no	—
998	#482	—	47	1	no	—
999	#482	—	47	1	no	—
1000	#481	—	47	1	no	—
1001	#481	—	47	1	no	—
1002	#480	—	47	1	no	—
1003	#479	—	47	1	no	—
1004	#479	—	47	1	no	—
1005	#479	—	47	1	no	—
1006	#479	—	47	1	no	—
1007	#478	—	47	1	no	—
1008	#478	—	47	1	no	—
1009	#478	—	47	1	no	—
1010	#478	—	47	1	no	—
1011	#476	—	47	1	no	—
1012	#474	—	47	1	no	—
1013	#469	—	47	1	no	—
1014	#468	—	47	1	no	—
1015	#468	—	47	1	no	—
1016	#468	—	47	1	no	—
1017	#467	—	47	1	no	—
1018	#466	—	47	1	no	—
1019	#466	—	47	1	no	—
1020	#465	—	47	1	no	—
1021	#465	—	47	1	no	—
1022	#465	—	47	1	no	—
1023	#465	—	47	1	no	—
1024	#465	—	47	1	no	—
1025	#464	—	47	1	no	—
1026	#464	—	47	1	no	—
1027	#464	—	47	1	no	—
1028	#464	—	47	1	no	—
1029	#464	—	47	1	no	—
1030	#464	—	47	1	no	—
1031	#464	—	47	1	no	—
1032	#463	—	47	1	no	—
1033	#463	—	47	1	no	—
1034	#463	—	47	1	no	—
1035	#463	—	47	1	no	—
1036	#463	—	47	1	no	—
1037	#461	—	47	1	no	—
1038	#461	—	47	1	no	—
1039	#460	—	47	1	no	—
1040	#460	—	47	1	no	—
1041	#460	—	47	1	no	—
1042	#460	—	47	1	no	—
1043	#460	—	47	1	no	—
1044	#460	—	47	1	no	—
1045	#460	—	47	1	no	—
1046	#460	—	47	1	no	—
1047	#460	—	47	1	no	—
1048	#460	—	47	1	no	—
1049	#460	—	47	1	no	—
1050	#460	—	47	1	no	—
1051	#460	—	47	1	no	—
1052	#459	—	47	1	no	—
1053	#459	—	47	1	no	—
1054	#459	—	47	1	no	—
1055	#452	—	47	1	no	—
1056	#452	—	47	1	no	—
1057	#452	—	47	1	no	—
1058	#451	—	47	1	no	—
1059	#450	—	47	1	no	—
1060	#450	—	47	1	no	—
1061	#450	—	47	1	no	—
1062	#450	—	47	1	no	—
1063	#450	—	47	1	no	—
1064	#449	—	47	1	no	—
1065	#449	—	47	1	no	—
1066	#449	—	47	1	no	—
1067	#448	—	47	1	no	—
1068	#448	—	47	1	no	—
1069	#448	—	47	1	no	—
1070	#447	—	47	1	no	—
1071	#447	—	47	1	no	—
1072	#447	—	47	1	no	—
1073	#446	—	47	1	no	—
1074	#446	—	47	1	no	—
1075	#442	—	47	1	no	—
1076	#441	—	47	1	no	—
1077	#441	—	47	1	no	—
1078	#440	—	47	1	no	—
1079	#440	—	47	1	no	—
1080	#440	—	47	1	no	—
1081	#440	—	47	1	no	—
1082	#440	—	47	1	no	—
1083	C₄×SD₁₆	—	47	1	no	—
1084	C₄×SD₁₆	—	47	1	no	—
1085	C₄×SD₁₆	—	47	1	no	—
1086	C₄×D₈	—	47	1	no	—
1087	#435	—	47	1	no	—
1088	#435	—	47	1	no	—
1089	#435	—	47	1	no	—
1090	#435	—	47	1	no	—
1091	C₈×D₄	—	47	1	no	—
1092	C₈×D₄	—	47	1	no	—
1093	#433	—	47	1	no	—
1094	#433	—	47	1	no	—
1095	#432	—	47	1	no	—
1096	#424	—	47	1	no	—
1097	#424	—	47	1	no	—
1098	C₂×C₄⋊C₈	—	47	1	no	—
1099	#418	—	47	1	no	—
1100	#417	—	47	1	no	—
1101	#416	—	47	1	no	—
1102	C₂×#102	—	47	1	no	—
1103	C₂×#102	—	47	1	no	—
1104	C₂×#102	—	47	1	no	—
1105	C₄₇	#62009	1	1	yes	characteristic, complemented, Sylow
1106	C₂×#41	—	2	1	no	—
1107	C₂×#41	—	47	1	no	—
1108	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1109	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1110	C₂²×Q₈	—	47	1	no	—
1111	C₂²×Q₈	—	47	1	no	—
1112	C₂²×D₄	—	2	1	no	—
1113	C₂²×D₄	—	2	1	no	—
1114	C₂²×D₄	—	2	1	no	—
1115	C₂²×D₄	—	2	1	no	—
1116	C₂²×D₄	—	2	1	no	—
1117	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1118	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1119	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1120	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1121	#137	—	188	2	no	—
1122	AGL(1,ℤ/8)	—	188	2	no	—
1123	#135	—	188	2	no	—
1124	C₂×Q₁₆	—	47	1	no	—
1125	C₂×Q₁₆	—	47	1	no	—
1126	C₂×Q₁₆	—	47	1	no	—
1127	C₂×SD₁₆	—	47	1	no	—
1128	C₂×SD₁₆	—	47	1	no	—
1129	C₂×SD₁₆	—	47	1	no	—
1130	C₂×SD₁₆	—	47	1	no	—
1131	C₂×SD₁₆	—	47	1	no	—
1132	C₂×SD₁₆	—	47	1	no	—
1133	C₂×SD₁₆	—	47	1	no	—
1134	C₂×SD₁₆	—	47	1	no	—
1135	C₂×SD₁₆	—	47	1	no	—
1136	C₂×SD₁₆	—	47	1	no	—
1137	C₂×SD₁₆	—	47	1	no	—
1138	C₂×SD₁₆	—	47	1	no	—
1139	C₂×SD₁₆	—	47	1	no	—
1140	C₂×SD₁₆	—	47	1	no	—
1141	C₂×SD₁₆	—	47	1	no	—
1142	C₂×SD₁₆	—	47	1	no	—
1143	C₂×SD₁₆	—	188	2	no	—
1144	C₂×SD₁₆	—	188	2	no	—
1145	C₂×SD₁₆	—	188	2	no	—
1146	C₂×D₈	—	47	1	no	—
1147	C₂×D₈	—	47	1	no	—
1148	C₂×D₈	—	47	1	no	—
1149	C₂×D₈	—	47	1	no	—
1150	C₂×D₈	—	47	1	no	—
1151	C₂×M₁₆	—	47	1	no	—
1152	C₂×M₁₆	—	47	1	no	—
1153	C₂²×C₈	—	47	1	no	—
1154	C₂²×C₈	—	47	1	no	—
1155	C₂²×C₈	—	47	1	no	—
1156	C₂²×C₈	—	47	1	no	—
1157	C₄⋊Q₈	—	47	1	no	—
1158	C₄⋊Q₈	—	47	1	no	—
1159	C₄⋊Q₈	—	94	1	no	—
1160	C₄⋊Q₈	—	94	1	no	—
1161	#127	—	2	1	no	—
1162	#127	—	2	1	no	—
1163	#127	—	2	1	no	—
1164	#127	C₂²×D₄₇	1	1	yes	characteristic
1165	#127	C₂²×D₄₇	1	1	yes	characteristic
1166	#127	C₂²×D₄₇	1	1	yes	characteristic
1167	#127	C₂²×D₄₇	1	1	yes	characteristic
1168	#127	C₂²×D₄₇	1	1	yes	characteristic
1169	#127	C₂²×D₄₇	1	1	yes	characteristic
1170	#126	—	2	1	no	—
1171	#126	—	94	1	no	—
1172	#126	—	94	1	no	—
1173	#126	—	94	1	no	—
1174	#126	—	94	1	no	—
1175	#126	—	94	1	no	—
1176	#126	—	94	1	no	—
1177	#126	—	94	1	no	—
1178	#126	—	94	1	no	—
1179	#126	C₂²⋊D₄₇	1	1	yes	characteristic
1180	#126	C₂²⋊D₄₇	1	1	yes	characteristic
1181	#125	—	47	1	no	—
1182	#125	—	47	1	no	—
1183	#125	—	94	1	no	—
1184	#125	—	94	1	no	—
1185	#125	—	94	1	no	—
1186	#125	—	94	1	no	—
1187	#125	—	94	1	no	—
1188	#125	—	94	1	no	—
1189	#125	C₂²⋊D₄₇	1	1	yes	characteristic
1190	#125	C₂²×D₄₇	1	1	yes	characteristic
1191	#124	—	2	1	no	—
1192	#124	—	47	1	no	—
1193	#124	—	47	1	no	—
1194	#124	—	94	1	no	—
1195	#124	—	94	1	no	—
1196	#124	—	94	1	no	—
1197	#124	C₂²⋊D₄₇	1	1	yes	characteristic
1198	#124	C₂²×D₄₇	1	1	yes	characteristic
1199	#124	C₂²×D₄₇	1	1	yes	characteristic
1200	#124	C₂²×D₄₇	1	1	yes	characteristic
1201	#123	—	2	1	no	—
1202	#123	—	2	1	no	—
1203	#123	—	2	1	no	—
1204	#123	—	2	1	no	—
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	#123	—	2	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	94	1	no	—
1211	#123	—	94	1	no	—
1212	#123	—	94	1	no	—
1213	#123	—	94	1	no	—
1214	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1215	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1216	C₂²⋊Q₈	—	47	1	no	—
1217	C₂²⋊Q₈	—	47	1	no	—
1218	C₂²⋊Q₈	—	47	1	no	—
1219	C₂²⋊Q₈	—	47	1	no	—
1220	C₂²⋊Q₈	—	94	1	no	—
1221	C₂²⋊Q₈	—	94	1	no	—
1222	C₂²⋊Q₈	—	94	1	no	—
1223	C₂²⋊Q₈	—	94	1	no	—
1224	C₂²⋊Q₈	—	94	1	no	—
1225	C₂²⋊Q₈	—	94	1	no	—
1226	C₂²⋊Q₈	—	94	1	no	—
1227	C₂²⋊Q₈	—	94	1	no	—
1228	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
1229	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1230	#121	—	2	1	no	—
1231	#121	—	2	1	no	—
1232	#121	—	2	1	no	—
1233	#121	—	2	1	no	—
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	—	2	1	no	—
1246	#121	—	2	1	no	—
1247	#121	—	2	1	no	—
1248	#121	—	47	1	no	—
1249	#121	—	47	1	no	—
1250	#121	—	94	1	no	—
1251	#121	—	94	1	no	—
1252	#121	—	94	1	no	—
1253	#121	C₂²⋊D₄₇	1	1	yes	characteristic
1254	#121	C₂²×D₄₇	1	1	yes	characteristic
1255	#121	C₂²×D₄₇	1	1	yes	characteristic
1256	#121	C₂²×D₄₇	1	1	yes	characteristic
1257	#121	C₂²×D₄₇	1	1	yes	characteristic
1258	#121	C₂²×D₄₇	1	1	yes	characteristic
1259	#120	—	2	1	no	—
1260	#120	—	2	1	no	—
1261	#120	—	2	1	no	—
1262	#120	—	2	1	no	—
1263	#120	—	2	1	no	—
1264	#120	—	2	1	no	—
1265	#120	—	2	1	no	—
1266	#120	—	2	1	no	—
1267	#120	—	2	1	no	—
1268	#120	—	2	1	no	—
1269	#120	—	2	1	no	—
1270	#120	—	2	1	no	—
1271	C₄×Q₈	—	47	1	no	—
1272	C₄×Q₈	—	47	1	no	—
1273	C₄×Q₈	—	47	1	no	—
1274	C₄×Q₈	—	47	1	no	—
1275	C₄×Q₈	—	47	1	no	—
1276	C₄×Q₈	—	47	1	no	—
1277	C₄×Q₈	—	47	1	no	—
1278	C₄×Q₈	—	47	1	no	—
1279	C₄×Q₈	—	94	1	no	—
1280	C₄×Q₈	—	94	1	no	—
1281	C₄×Q₈	—	94	1	no	—
1282	C₄×Q₈	—	94	1	no	—
1283	C₄×Q₈	—	94	1	no	—
1284	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1285	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1286	C₄×D₄	—	2	1	no	—
1287	C₄×D₄	—	2	1	no	—
1288	C₄×D₄	—	2	1	no	—
1289	C₄×D₄	—	47	1	no	—
1290	C₄×D₄	—	47	1	no	—
1291	C₄×D₄	—	94	1	no	—
1292	C₄×D₄	—	94	1	no	—
1293	C₄×D₄	—	94	1	no	—
1294	C₄×D₄	—	94	1	no	—
1295	C₄×D₄	—	94	1	no	—
1296	C₄×D₄	—	94	1	no	—
1297	C₄×D₄	—	94	1	no	—
1298	C₄×D₄	—	94	1	no	—
1299	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1300	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1301	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1302	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1303	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1304	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1305	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1306	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1307	#117	—	2	1	no	—
1308	#117	—	47	1	no	—
1309	#117	—	94	1	no	—
1310	#117	—	94	1	no	—
1311	#117	—	94	1	no	—
1312	#117	—	94	1	no	—
1313	#117	—	94	1	no	—
1314	#117	—	94	1	no	—
1315	#117	C₂²×D₄₇	1	1	yes	characteristic
1316	#117	C₂²×D₄₇	1	1	yes	characteristic
1317	C₂×C₄⋊C₄	—	47	1	no	—
1318	C₂×C₄⋊C₄	—	47	1	no	—
1319	C₂×C₄⋊C₄	—	94	1	no	—
1320	C₂×C₄⋊C₄	—	94	1	no	—
1321	C₂×C₂²⋊C₄	—	2	1	no	—
1322	C₂×C₂²⋊C₄	—	2	1	no	—
1323	C₂×C₄²	—	94	1	no	—
1324	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1325	#107	—	47	1	no	—
1326	#107	—	47	1	no	—
1327	#107	—	47	1	no	—
1328	#107	—	47	1	no	—
1329	#106	—	47	1	no	—
1330	#106	—	47	1	no	—
1331	#106	—	47	1	no	—
1332	#106	—	47	1	no	—
1333	C₄⋊C₈	—	47	1	no	—
1334	C₄⋊C₈	—	47	1	no	—
1335	C₄⋊C₈	—	47	1	no	—
1336	C₄⋊C₈	—	47	1	no	—
1337	C₄⋊C₈	—	47	1	no	—
1338	C₄⋊C₈	—	47	1	no	—
1339	C₄⋊C₈	—	47	1	no	—
1340	C₄⋊C₈	—	47	1	no	—
1341	C₄⋊C₈	—	47	1	no	—
1342	C₄⋊C₈	—	47	1	no	—
1343	#103	—	47	1	no	—
1344	#103	—	47	1	no	—
1345	#103	—	47	1	no	—
1346	#103	—	47	1	no	—
1347	#103	—	47	1	no	—
1348	#103	—	47	1	no	—
1349	#103	—	47	1	no	—
1350	#103	—	47	1	no	—
1351	#103	—	47	1	no	—
1352	#103	—	47	1	no	—
1353	#102	—	47	1	no	—
1354	#102	—	47	1	no	—
1355	#102	—	47	1	no	—
1356	#102	—	47	1	no	—
1357	#102	—	47	1	no	—
1358	#102	—	47	1	no	—
1359	#102	—	47	1	no	—
1360	#102	—	47	1	no	—
1361	#102	—	47	1	no	—
1362	#102	—	47	1	no	—
1363	#102	—	47	1	no	—
1364	#102	—	47	1	no	—
1365	#102	—	47	1	no	—
1366	#102	—	47	1	no	—
1367	#102	—	47	1	no	—
1368	#102	—	47	1	no	—
1369	#102	—	47	1	no	—
1370	#102	—	47	1	no	—
1371	#102	—	47	1	no	—
1372	#102	—	47	1	no	—
1373	#102	—	47	1	no	—
1374	#102	—	47	1	no	—
1375	C₂²⋊C₈	—	47	1	no	—
1376	C₂²⋊C₈	—	47	1	no	—
1377	C₂²⋊C₈	—	47	1	no	—
1378	C₂²⋊C₈	—	47	1	no	—
1379	C₂²⋊C₈	—	47	1	no	—
1380	C₂²⋊C₈	—	47	1	no	—
1381	#97	—	47	1	no	—
1382	#97	—	47	1	no	—
1383	#97	—	47	1	no	—
1384	#97	—	47	1	no	—
1385	C₄×C₈	—	47	1	no	—
1386	C₄×C₈	—	47	1	no	—
1387	C₂⁴	—	2	1	no	—
1388	C₂⁴	—	2	1	no	—
1389	C₂⁴	—	2	1	no	—
1390	C₂⁴	—	2	1	no	—
1391	#41	—	4	1	no	—
1392	#41	—	4	1	no	—
1393	#41	—	4	1	no	—
1394	#41	—	4	1	no	—
1395	#41	—	8	2	no	—
1396	#41	—	94	2	no	—
1397	#41	—	188	1	no	—
1398	C₂×Q₈	—	47	1	no	—
1399	C₂×Q₈	—	47	1	no	—
1400	C₂×Q₈	—	47	1	no	—
1401	C₂×Q₈	—	94	2	no	—
1402	C₂×Q₈	—	94	2	no	—
1403	C₂×Q₈	—	94	1	no	—
1404	C₂×Q₈	—	94	1	no	—
1405	C₂×Q₈	—	94	1	no	—
1406	C₂×Q₈	—	188	1	no	—
1407	C₂×Q₈	—	188	1	no	—
1408	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1409	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	4	1	no	—
1434	C₂×D₄	—	4	1	no	—
1435	C₂×D₄	—	4	1	no	—
1436	C₂×D₄	—	4	1	no	—
1437	C₂×D₄	—	4	1	no	—
1438	C₂×D₄	—	4	1	no	—
1439	C₂×D₄	—	4	1	no	—
1440	C₂×D₄	—	4	1	no	—
1441	C₂×D₄	—	8	2	no	—
1442	C₂×D₄	—	8	2	no	—
1443	C₂×D₄	—	8	2	no	—
1444	C₂×D₄	—	8	2	no	—
1445	C₂×D₄	—	8	2	no	—
1446	C₂×D₄	—	47	1	no	—
1447	C₂×D₄	—	94	1	no	—
1448	C₂×D₄	—	94	1	no	—
1449	C₂×D₄	—	94	1	no	—
1450	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1451	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1452	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1453	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1454	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1455	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1456	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1457	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1458	C₂²×C₄	—	2	1	no	—
1459	C₂²×C₄	—	2	1	no	—
1460	C₂²×C₄	—	2	1	no	—
1461	C₂²×C₄	—	2	1	no	—
1462	C₂²×C₄	—	2	1	no	—
1463	C₂²×C₄	—	2	1	no	—
1464	C₂²×C₄	—	2	1	no	—
1465	C₂²×C₄	—	94	1	no	—
1466	C₂²×C₄	—	94	1	no	—
1467	C₂²×C₄	—	94	1	no	—
1468	C₂²×C₄	—	94	1	no	—
1469	C₂²×C₄	—	94	1	no	—
1470	C₂²×C₄	—	94	1	no	—
1471	C₂²×C₄	—	94	1	no	—
1472	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1473	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1474	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1475	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1476	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1477	Q₁₆	—	94	2	no	—
1478	Q₁₆	—	188	1	no	—
1479	Q₁₆	—	188	1	no	—
1480	SD₁₆	—	94	2	no	—
1481	SD₁₆	—	94	2	no	—
1482	SD₁₆	—	94	2	no	—
1483	SD₁₆	—	94	2	no	—
1484	SD₁₆	—	94	2	no	—
1485	SD₁₆	—	188	1	no	—
1486	SD₁₆	—	188	1	no	—
1487	SD₁₆	—	188	1	no	—
1488	SD₁₆	—	188	1	no	—
1489	SD₁₆	—	188	1	no	—
1490	SD₁₆	—	188	1	no	—
1491	SD₁₆	—	188	1	no	—
1492	SD₁₆	—	188	1	no	—
1493	SD₁₆	—	188	1	no	—
1494	SD₁₆	—	188	1	no	—
1495	SD₁₆	—	188	1	no	—
1496	D₈	—	188	1	no	—
1497	D₈	—	188	1	no	—
1498	D₈	—	188	1	no	—
1499	D₈	—	188	1	no	—
1500	D₈	—	188	1	no	—
1501	M₁₆	—	188	1	no	—
1502	M₁₆	—	188	1	no	—
1503	C₂×C₈	—	47	1	no	—
1504	C₂×C₈	—	47	1	no	—
1505	C₂×C₈	—	47	1	no	—
1506	C₂×C₈	—	47	1	no	—
1507	C₂×C₈	—	47	1	no	—
1508	C₂×C₈	—	47	1	no	—
1509	C₂×C₈	—	47	1	no	—
1510	C₂×C₈	—	47	1	no	—
1511	C₂×C₈	—	188	1	no	—
1512	C₂×C₈	—	188	1	no	—
1513	C₂×C₈	—	188	1	no	—
1514	C₂×C₈	—	188	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	47	1	no	—
1520	C₄⋊C₄	—	47	1	no	—
1521	C₄⋊C₄	—	47	1	no	—
1522	C₄⋊C₄	—	47	1	no	—
1523	C₄⋊C₄	—	94	1	no	—
1524	C₄⋊C₄	—	94	1	no	—
1525	C₄⋊C₄	—	94	1	no	—
1526	C₄⋊C₄	—	94	1	no	—
1527	C₄⋊C₄	—	94	1	no	—
1528	C₄⋊C₄	—	94	1	no	—
1529	C₄⋊C₄	—	94	1	no	—
1530	C₄⋊C₄	—	94	1	no	—
1531	C₄⋊C₄	—	94	1	no	—
1532	C₄⋊C₄	—	94	1	no	—
1533	C₄⋊C₄	—	94	1	no	—
1534	C₄⋊C₄	—	94	1	no	—
1535	C₄⋊C₄	—	94	1	no	—
1536	C₄⋊C₄	—	94	1	no	—
1537	C₄⋊C₄	—	94	1	no	—
1538	C₄⋊C₄	—	94	1	no	—
1539	C₄⋊C₄	—	94	1	no	—
1540	C₄⋊C₄	—	94	1	no	—
1541	C₄⋊C₄	—	94	1	no	—
1542	C₄⋊C₄	—	94	1	no	—
1543	C₄⋊C₄	—	94	1	no	—
1544	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1545	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1546	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1547	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1548	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1549	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1550	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1551	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1552	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1553	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1554	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1555	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	94	1	no	—
1574	C₂²⋊C₄	—	94	1	no	—
1575	C₂²⋊C₄	—	94	1	no	—
1576	C₂²⋊C₄	—	94	1	no	—
1577	C₂²⋊C₄	—	94	1	no	—
1578	C₂²⋊C₄	—	94	1	no	—
1579	C₂²⋊C₄	—	94	1	no	—
1580	C₂²⋊C₄	—	94	1	no	—
1581	C₂²⋊C₄	—	94	1	no	—
1582	C₂²⋊C₄	—	94	1	no	—
1583	C₂²⋊C₄	—	94	1	no	—
1584	C₂²⋊C₄	—	94	1	no	—
1585	C₂²⋊C₄	—	94	1	no	—
1586	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1587	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1588	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1589	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1590	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1591	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1592	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1593	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1594	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1595	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1596	C₄²	—	2	1	no	—
1597	C₄²	—	94	1	no	—
1598	C₄²	—	94	1	no	—
1599	C₄²	—	94	1	no	—
1600	C₄²	—	94	1	no	—
1601	C₄²	—	94	1	no	—
1602	C₄²	—	94	1	no	—
1603	C₄²	—	94	1	no	—
1604	C₄²	—	94	1	no	—
1605	C₄²	—	94	1	no	—
1606	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1607	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1608	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1609	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1610	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1611	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1612	C₂³	—	2	1	no	—
1613	C₂³	—	2	1	no	—
1614	C₂³	—	2	1	no	—
1615	C₂³	—	2	1	no	—
1616	C₂³	—	2	1	no	—
1617	C₂³	—	4	2	no	—
1618	C₂³	—	4	2	no	—
1619	C₂³	—	8	1	no	—
1620	C₂³	—	8	1	no	—
1621	C₂³	—	8	1	no	—
1622	C₂³	—	8	1	no	—
1623	C₂³	—	8	1	no	—
1624	C₂³	—	8	1	no	—
1625	C₂³	—	8	1	no	—
1626	C₂³	—	8	1	no	—
1627	C₂³	—	8	1	no	—
1628	C₂³	—	8	1	no	—
1629	C₂³	—	94	1	no	—
1630	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1631	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1632	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1633	Q₈	—	2	1	no	—
1634	Q₈	—	2	1	no	—
1635	Q₈	—	4	1	no	—
1636	Q₈	—	47	2	no	—
1637	Q₈	—	94	1	no	—
1638	Q₈	—	94	1	no	—
1639	Q₈	—	94	1	no	—
1640	Q₈	—	94	1	no	—
1641	Q₈	—	94	1	no	—
1642	Q₈	—	376	1	no	—
1643	Q₈	—	188	2	no	—
1644	Q₈	—	188	2	no	—
1645	D₄	—	2	2	no	—
1646	D₄	—	2	2	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	2	1	no	—
1650	D₄	—	2	1	no	—
1651	D₄	—	2	1	no	—
1652	D₄	—	2	1	no	—
1653	D₄	—	2	1	no	—
1654	D₄	—	2	1	no	—
1655	D₄	—	2	1	no	—
1656	D₄	—	2	1	no	—
1657	D₄	—	4	1	no	—
1658	D₄	—	4	2	no	—
1659	D₄	—	4	2	no	—
1660	D₄	—	4	2	no	—
1661	D₄	—	8	1	no	—
1662	D₄	—	8	1	no	—
1663	D₄	—	8	1	no	—
1664	D₄	—	8	1	no	—
1665	D₄	—	8	1	no	—
1666	D₄	—	8	1	no	—
1667	D₄	—	8	1	no	—
1668	D₄	—	8	1	no	—
1669	D₄	—	8	1	no	—
1670	D₄	—	8	1	no	—
1671	D₄	—	8	1	no	—
1672	D₄	—	8	1	no	—
1673	D₄	—	8	1	no	—
1674	D₄	—	8	1	no	—
1675	D₄	—	8	1	no	—
1676	D₄	—	8	1	no	—
1677	D₄	—	8	1	no	—
1678	D₄	—	8	1	no	—
1679	D₄	—	8	1	no	—
1680	D₄	—	8	1	no	—
1681	D₄	—	94	1	no	—
1682	D₄	—	94	1	no	—
1683	D₄	—	376	1	no	—
1684	D₄	—	188	2	no	—
1685	D₄	—	188	2	no	—
1686	C₂×C₄	—	2	2	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	4	1	no	—
1697	C₂×C₄	—	4	2	no	—
1698	C₂×C₄	—	8	1	no	—
1699	C₂×C₄	—	8	1	no	—
1700	C₂×C₄	—	8	1	no	—
1701	C₂×C₄	—	8	1	no	—
1702	C₂×C₄	—	8	1	no	—
1703	C₂×C₄	—	8	1	no	—
1704	C₂×C₄	—	94	1	no	—
1705	C₂×C₄	—	94	1	no	—
1706	C₂×C₄	—	94	1	no	—
1707	C₂×C₄	—	94	1	no	—
1708	C₂×C₄	—	94	1	no	—
1709	C₂×C₄	—	94	1	no	—
1710	C₂×C₄	—	94	1	no	—
1711	C₂×C₄	—	376	1	no	—
1712	C₂×C₄	—	376	1	no	—
1713	C₂×C₄	—	376	1	no	—
1714	C₂×C₄	—	376	1	no	—
1715	C₂×C₄	—	188	2	no	—
1716	C₂×C₄	—	188	2	no	—
1717	C₂×C₄	—	188	2	no	—
1718	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1719	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1720	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1721	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1722	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1723	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1724	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1725	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1726	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1727	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1728	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1729	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1730	C₈	—	94	1	no	—
1731	C₈	—	94	1	no	—
1732	C₈	—	94	1	no	—
1733	C₈	—	94	1	no	—
1734	C₈	—	94	1	no	—
1735	C₈	—	94	1	no	—
1736	C₈	—	94	1	no	—
1737	C₈	—	94	1	no	—
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	4	1	no	—
1751	C₂²	—	4	1	no	—
1752	C₂²	—	4	1	no	—
1753	C₂²	—	4	1	no	—
1754	C₂²	—	4	1	no	—
1755	C₂²	—	4	1	no	—
1756	C₂²	—	4	1	no	—
1757	C₂²	—	4	1	no	—
1758	C₂²	—	4	1	no	—
1759	C₂²	—	4	1	no	—
1760	C₂²	—	4	1	no	—
1761	C₂²	—	16	2	no	—
1762	C₂²	—	16	2	no	—
1763	C₂²	—	16	2	no	—
1764	C₂²	—	16	2	no	—
1765	C₂²	—	188	1	no	—
1766	C₂²	—	188	1	no	—
1767	C₂²	—	188	1	no	—
1768	C₂²	#15689934	1	2	yes	—
1769	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1770	C₄	—	2	1	no	—
1771	C₄	—	2	1	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	4	1	no	—
1782	C₄	—	4	1	no	—
1783	C₄	—	4	1	no	—
1784	C₄	—	94	2	no	—
1785	C₄	—	188	1	no	—
1786	C₄	—	188	1	no	—
1787	C₄	—	188	1	no	—
1788	C₄	—	188	1	no	—
1789	C₄	—	188	1	no	—
1790	C₄	—	188	1	no	—
1791	C₄	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1792	C₄	#15689958	1	1	yes	characteristic
1793	C₂	—	2	2	no	—
1794	C₂	—	4	1	no	—
1795	C₂	—	4	1	no	—
1796	C₂	—	8	1	no	—
1797	C₂	—	8	1	no	—
1798	C₂	—	8	1	no	—
1799	C₂	—	8	1	no	—
1800	C₂	—	8	1	no	—
1801	C₂	—	376	1	no	—
1802	C₂	#20257050	1	1	yes	characteristic
1803	C₂	C₂×#15689934	1	1	yes	characteristic
1804	C₂	#20258168	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×#3543	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3543	D₄₇
hypocenter	C₄₇	#62009
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3543

Complements

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

N	H ≅ G/N	type
1. #20257377	C₂	semidirect
2. #20256448	C₂	semidirect
3. #20256404	C₂	semidirect
4. #20256150	C₂	semidirect
5. #20256113	C₂	semidirect
6. #20255529	C₂	semidirect
7. #20255514	C₂	semidirect
8. #20255469	C₂	semidirect
9. #20255409	C₂	semidirect
10. #20255238	C₂	semidirect
11. #20255212	C₂	semidirect
12. #20255091	C₂	semidirect
13. D₄×#10625335	C₂	semidirect
14. #20254969	C₂	semidirect
15. #20254894	C₂	semidirect
16. #20254879	C₂	semidirect
17. #20254879	C₂	semidirect
18. #20254834	C₂	semidirect
19. #20254793	C₂	semidirect
20. #20254735	C₂	semidirect
21. #20254482	C₂	semidirect
22. #20254460	C₂	semidirect
23. #20254406	C₂	semidirect
24. #20253674	C₂	semidirect
25. #20253581	C₂	semidirect
26. #20253555	C₂	semidirect
27. #20252923	C₂	semidirect
28. #20252905	C₂	semidirect
29. C₂×#15689320	C₂	semidirect
30. #20252527	C₂	semidirect
31. C₄₇×#3543	C₂	semidirect
32. C₂×#13094054	C₂²	semidirect
33. C₂×#13094050	C₂²	semidirect
34. C₂×#13094044	C₂²	semidirect
35. C₂²×#10625335	C₂²	semidirect
36. C₂²×#10625335	C₂²	semidirect
37. C₂²×#10625335	C₂²	semidirect
38. #15689851	C₂²	semidirect
39. #15689846	C₂²	semidirect
41. #15689830	C₂²	semidirect
43. #15689819	C₂²	semidirect
45. #15689813	C₂²	semidirect
47. D₄×Dic₉₄	C₂²	semidirect
48. #15689782	C₂²	semidirect
49. #15689782	C₂²	semidirect
50. #15689744	C₂²	semidirect
52. #15689735	C₂²	semidirect
54. #15689657	C₂²	semidirect
57. #15689603	C₂²	semidirect
58. #15689600	C₂²	semidirect
59. C₂×C₄×Dic₉₄	C₂²	semidirect
60. #15689518	C₂²	semidirect
62. #15689510	C₂²	semidirect
63. #15689510	C₂²	semidirect
64. #15689505	C₂²	semidirect
65. #15689495	C₂²	semidirect
67. #15689487	C₂²	semidirect
68. #15689487	C₂²	semidirect
69. #15689482	C₂²	semidirect
70. #15689477	C₂²	semidirect
71. #15689469	C₂²	semidirect
72. #15689456	C₂²	semidirect
73. #15689444	C₂²	semidirect
74. #15689444	C₂²	semidirect
76. #15689439	C₂²	semidirect
77. #15689434	C₂²	semidirect
78. #15689430	C₂²	semidirect
79. #15689427	C₂²	semidirect
80. #15689427	C₂²	semidirect
81. #15689427	C₂²	semidirect
82. #15689423	C₂²	semidirect
83. #15689423	C₂²	semidirect
84. #15689423	C₂²	semidirect
85. #15689420	C₂²	semidirect
86. #15689413	C₂²	semidirect
87. #15689403	C₂²	semidirect
88. #15689374	C₂²	semidirect
89. #15689367	C₂²	semidirect
90. #15689367	C₂²	semidirect
91. #15689367	C₂²	semidirect
92. #15689362	C₂²	semidirect
94. #15689357	C₂²	semidirect
95. #15689354	C₂²	semidirect
97. #15689350	C₂²	semidirect
98. #15689350	C₂²	semidirect
99. #15689350	C₂²	semidirect
100. #15689345	C₂²	semidirect
101. #15689342	C₂²	semidirect
102. #15689342	C₂²	semidirect
103. #15689342	C₂²	semidirect
104. #15689342	C₂²	semidirect
105. #15689342	C₂²	semidirect
106. #15689342	C₂²	semidirect
107. #15689338	C₂²	semidirect
108. #15689338	C₂²	semidirect
109. #15689338	C₂²	semidirect
110. #15689335	C₂²	semidirect
111. #15689335	C₂²	semidirect
112. #15689328	C₂²	semidirect
113. #15689328	C₂²	semidirect
116. #15689320	C₂²	semidirect
117. #15689320	C₂²	semidirect
118. #15689320	C₂²	semidirect
119. #15689320	C₂²	semidirect
120. #15689320	C₂²	semidirect
121. #15689320	C₂²	semidirect
122. #15689320	C₂²	semidirect
123. #15689320	C₂²	semidirect
124. #15689320	C₂²	semidirect
125. #15689320	C₂²	semidirect
126. #15689320	C₂²	semidirect
127. #15689315	C₂²	semidirect
128. #15689315	C₂²	semidirect
129. #15689315	C₂²	semidirect
130. #15689285	C₂²	semidirect
131. #15689285	C₂²	semidirect
132. #15689285	C₂²	semidirect
133. #15689278	C₂²	semidirect
134. #15689274	C₂²	semidirect
135. #15689274	C₂²	semidirect
136. #15689274	C₂²	semidirect
137. #15689274	C₂²	semidirect
138. #15689274	C₂²	semidirect
139. #15689268	C₂²	semidirect
140. #15689266	C₂²	semidirect
141. #15689266	C₂²	semidirect
143. #15689261	C₂²	semidirect
144. #15689261	C₂²	semidirect
145. #15689257	C₂²	semidirect
146. #15689257	C₂²	semidirect
147. #15689257	C₂²	semidirect
148. #15689254	C₂²	semidirect
149. #15689254	C₂²	semidirect
150. #15689233	C₂²	semidirect
151. #15689228	C₂²	semidirect
152. #15689228	C₂²	semidirect
153. #15689223	C₂²	semidirect
154. #15689223	C₂²	semidirect
155. #15689223	C₂²	semidirect
156. #15689223	C₂²	semidirect
157. #15689223	C₂²	semidirect
158. C₄×#10625335	C₂²	semidirect
159. C₄×#10625335	C₂²	semidirect
160. C₄×#10625335	C₂²	semidirect
161. C₄×#10625334	C₂²	semidirect
162. #15689195	C₂²	semidirect
163. #15689195	C₂²	semidirect
164. #15689195	C₂²	semidirect
165. #15689195	C₂²	semidirect
166. D₄×C₄₇⋊C₈	C₂²	semidirect
167. D₄×C₄₇⋊C₈	C₂²	semidirect
168. #15689184	C₂²	semidirect
169. #15689184	C₂²	semidirect
170. #15689180	C₂²	semidirect
171. #15689150	C₂²	semidirect
172. #15689150	C₂²	semidirect
173. C₂×C₄⋊(C₄₇⋊C₈)	C₂²	semidirect
174. #15689128	C₂²	semidirect
175. #15689124	C₂²	semidirect
176. #15689119	C₂²	semidirect
177. C₂×#13093945	C₂²	semidirect
178. C₂×#13093945	C₂²	semidirect
179. C₂×#13093945	C₂²	semidirect
891. #3543	D₄₇	semidirect
1105. C₄₇	#62009	semidirect

Maximal subgroups

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

subgroup	index
#20257377	2
#20256448	2
#20256404	2
#20256150	2
#20256113	2
#20255529	2
#20255514	2
#20255469	2
#20255409	2
#20255238	2
#20255212	2
#20255091	2
D₄×#10625335	2
#20254969	2
#20254894	2
#20254879	2
#20254834	2
#20254793	2
#20254735	2
#20254482	2
#20254460	2
#20254406	2
#20253674	2
#20253581	2
#20253555	2
#20252923	2
#20252905	2
C₂×#15689320	2
#20252527	2
C₄₇×#3543	2
#62009	47