Subgroups — #27097871

Order 12032.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1214 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256946	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#10625350	C₂	1	1	yes	maximal, characteristic, complemented
3	#20256406	C₂	1	1	yes	maximal, characteristic, complemented
4	#20256285	C₂	1	1	yes	maximal, characteristic, complemented
5	#20256104	C₂	1	1	yes	maximal, characteristic, complemented
6	#20256093	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255985	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255824	C₂	1	2	yes	maximal, complemented
9	#20255695	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255632	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255405	C₂	1	2	yes	maximal, complemented
12	#20255345	C₂	1	2	yes	maximal, complemented
13	#20254989	C₂	1	1	yes	maximal, characteristic, complemented
14	#20254868	C₂	1	2	yes	maximal, complemented
15	#20253981	C₂	1	2	yes	maximal, complemented
16	#20253947	C₂	1	1	yes	maximal, characteristic, complemented
17	#20253444	C₂	1	2	yes	maximal, complemented
18	#20253433	C₂	1	2	yes	maximal, complemented
19	#20253396	C₂	1	1	yes	maximal, characteristic, complemented
20	#20253388	C₂	1	1	yes	maximal, characteristic, complemented
21	#20252354	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13094048	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×D₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10625350	—	2	1	no	—
25	C₂×#13094048	C₂²	1	2	yes	—
26	#15689843	C₂²	1	1	yes	characteristic, complemented
27	#15689838	C₂²	1	1	yes	characteristic, complemented
28	#15689830	C₂²	1	1	yes	characteristic, complemented
29	#15689819	—	2	1	no	—
30	#15689813	—	2	1	no	—
31	#15689808	C₂²	1	2	yes	complemented
32	#15689799	—	2	2	no	—
33	#15689794	C₂²	1	1	yes	characteristic, complemented
34	D₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
35	#15689782	—	2	1	no	—
36	#15689778	C₂²	1	1	yes	characteristic, complemented
37	#15689777	C₂²	1	1	yes	characteristic, complemented
38	#15689774	C₂²	1	2	yes	—
39	#15689769	—	2	1	no	—
40	#15689767	C₂²	1	2	yes	complemented
41	#15689763	—	2	2	no	—
42	D₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
43	D₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
44	#15689680	C₂²	1	1	yes	characteristic, complemented
45	#15689673	C₂²	1	1	yes	characteristic
46	#15689670	C₂²	1	2	yes	complemented
47	#15689655	C₂²	1	2	yes	complemented
48	#15689653	—	2	2	no	—
49	#15689634	—	2	1	no	—
50	#15689634	—	2	1	no	—
51	#15689632	—	2	2	no	—
52	C₄×#10625350	C₂²	1	1	yes	characteristic
53	C₄×#10625352	C₂²	1	2	yes	complemented
54	C₄×D₄×D₄₇	C₂²	1	2	yes	complemented
55	C₂×#13093983	—	2	1	no	—
56	#15689531	C₂²	1	2	yes	complemented
57	#15689521	C₂²	1	1	yes	characteristic, complemented
58	#15689511	C₂²	1	2	yes	complemented
59	#15689496	C₂²	1	1	yes	characteristic, complemented
60	#15689486	C₂²	1	2	yes	complemented
61	#15689481	C₂²	1	2	yes	complemented
62	#15689474	C₂²	1	1	yes	characteristic, complemented
63	#15689470	C₂²	1	1	yes	characteristic, complemented
64	#15689460	C₂²	1	2	yes	complemented
65	#15689453	C₂²	1	2	yes	complemented
66	#15689450	C₂²	1	2	yes	complemented
67	#15689446	C₂²	1	2	yes	complemented
68	#15689440	C₂²	1	2	yes	complemented
69	#15689436	C₂²	1	2	yes	complemented
70	#15689426	C₂²	1	2	yes	complemented
71	#15689425	C₂²	1	2	yes	complemented
72	#15689417	C₂²	1	2	yes	complemented
73	#15689413	C₂²	1	1	yes	characteristic, complemented
74	#15689413	C₂²	1	1	yes	characteristic, complemented
75	#15689411	C₂²	1	2	yes	complemented
76	#15689403	C₂²	1	1	yes	characteristic, complemented
77	#15689403	C₂²	1	1	yes	characteristic, complemented
78	#15689375	C₂²	1	2	yes	complemented
79	#15689373	C₂²	1	2	yes	complemented
80	#15689370	C₂²	1	2	yes	complemented
81	#15689368	C₂²	1	2	yes	complemented
82	#15689352	C₂²	1	2	yes	complemented
83	#15689352	C₂²	1	2	yes	complemented
84	#15689337	C₂²	1	2	yes	complemented
85	#15689336	C₂²	1	2	yes	—
86	#15689328	C₂²	1	1	yes	characteristic, complemented
87	#15689328	C₂²	1	1	yes	characteristic, complemented
88	#15689322	C₂²	1	2	yes	complemented
89	#15689318	C₂²	1	1	yes	characteristic, complemented
90	#15689318	C₂²	1	1	yes	characteristic, complemented
91	#15689316	C₂²	1	2	yes	complemented
92	#15689275	C₂²	1	2	yes	complemented
93	#15689274	C₂²	1	2	yes	—
94	#15689269	C₂²	1	2	yes	complemented
95	#15689265	C₂²	1	2	yes	complemented
96	#15689257	C₂²	1	2	yes	complemented
97	#15689255	C₂²	1	2	yes	—
98	#15689253	C₂²	1	1	yes	characteristic, complemented
99	#15689253	C₂²	1	1	yes	characteristic, complemented
100	#15689235	C₂²	1	2	yes	—
101	#15689232	C₂²	1	2	yes	complemented
102	#15689222	C₂²	1	2	yes	complemented
103	#15689220	C₂²	1	2	yes	complemented
104	C₄×#10625325	C₂²	1	2	yes	complemented
105	C₄×#10625325	C₂²	1	2	yes	complemented
106	C₄×#10625335	C₂²	1	2	yes	complemented
107	C₄×#10625335	C₂²	1	2	yes	complemented
108	C₄×#10625334	C₂²	1	2	yes	complemented
109	C₄×#10625334	C₂²	1	2	yes	complemented
110	#15689202	C₂²	1	1	yes	characteristic, complemented
111	#15689202	C₂²	1	1	yes	characteristic, complemented
112	#15689194	C₂²	1	2	yes	complemented
113	#15689194	C₂²	1	2	yes	complemented
114	#15689176	C₂²	1	1	yes	characteristic, complemented
115	#15689174	C₂²	1	2	yes	complemented
116	#15689164	C₂²	1	2	yes	complemented
117	#15689126	C₂²	1	2	yes	complemented
118	#15689121	C₂²	1	2	yes	complemented
119	C₄×#10625324	C₂²	1	2	yes	complemented
120	C₂²×D₈×C₄₇	C₂²	1	1	yes	characteristic
121	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
122	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
124	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
125	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
126	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic
127	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
128	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
129	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
130	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic
133	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10625350	—	2	1	no	—
136	C₂×#10625350	—	2	2	no	—
137	C₂×#10625350	—	2	1	no	—
138	C₂×#10625350	—	2	2	no	—
139	C₂×#10625350	—	2	1	no	—
140	C₂×#10625350	—	4	8	no	—
141	C₂×#10625350	D₄	1	1	yes	characteristic
142	C₂×#10625352	C₂³	1	2	yes	—
143	C₂²×Dic₉₄	—	2	1	no	—
144	C₂²×D₁₈₈	—	2	1	no	—
145	C₂²×C₂²⋊D₄₇	—	2	2	no	—
146	C₂×D₄×D₄₇	C₂³	1	2	yes	—
147	C₂²×C₄×D₄₇	—	2	2	no	—
148	#13094048	—	2	8	no	—
149	C₂×#10625325	C₂³	1	2	yes	—
150	C₂×#10625325	C₂³	1	2	yes	—
151	C₂×#10625335	C₂³	1	2	yes	—
152	C₂×#10625335	C₂³	1	2	yes	—
153	C₂×#10625334	C₂³	1	2	yes	—
154	C₂×#10625334	C₂³	1	2	yes	—
155	C₂×#10625324	C₂³	1	2	yes	—
156	C₂×#10625324	C₂³	1	2	yes	—
157	#13094024	C₂³	1	1	yes	characteristic
158	#13094024	C₂³	1	1	yes	characteristic
159	#13094024	C₂³	1	1	yes	characteristic
160	#13094023	C₂³	1	2	yes	—
161	#13094021	C₂³	1	1	yes	characteristic
162	#13094020	C₂³	1	2	yes	—
163	#13094019	—	2	2	no	—
164	#13094017	—	2	2	no	—
165	#13094017	—	2	2	no	—
166	#13094016	—	2	1	no	—
167	#13094015	C₂³	1	2	yes	—
168	#13094014	—	2	2	no	—
169	#13094012	—	2	1	no	—
170	#13094011	C₂³	1	2	yes	—
171	#13094010	—	2	2	no	—
172	#13094010	—	2	2	no	—
173	#13094009	—	2	2	no	—
174	#13094008	—	2	2	no	—
175	#13094007	—	2	2	no	—
176	#13094007	—	2	2	no	—
177	#13094006	—	2	2	no	—
178	#13094006	—	2	2	no	—
179	#13094005	—	2	2	no	—
180	#13094004	C₂³	1	2	yes	—
181	#13094003	—	2	1	no	—
182	#13094003	—	2	1	no	—
183	#13094003	—	2	1	no	—
184	#13094003	—	2	1	no	—
185	#13094003	—	2	1	no	—
186	#13094003	C₂³	1	2	yes	—
187	#13094002	—	2	2	no	—
188	#13094001	—	2	2	no	—
189	#13094001	—	2	2	no	—
190	#13093999	C₂³	1	2	yes	—
191	#13093998	—	2	1	no	—
192	#13093998	—	2	1	no	—
193	#13093998	—	2	1	no	—
194	#13093998	—	2	1	no	—
195	#13093998	—	2	1	no	—
196	#13093998	C₂³	1	2	yes	—
197	#13093997	—	2	2	no	—
198	#13093997	—	2	2	no	—
199	#13093996	—	2	2	no	—
200	#13093996	—	2	2	no	—
201	#13093995	C₂³	1	2	yes	—
202	#13093995	C₂³	1	2	yes	—
203	#13093994	—	2	2	no	—
204	#13093993	—	2	2	no	—
205	#13093993	—	2	2	no	—
206	#13093992	—	2	2	no	—
207	C₄×Dic₉₄	—	2	1	no	—
208	C₄×Dic₉₄	D₄	1	1	yes	characteristic
209	C₄×Dic₉₄	C₂³	1	2	yes	—
210	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
211	#13093989	C₂³	1	2	yes	—
212	C₄×D₁₈₈	—	2	1	no	—
213	C₄×D₁₈₈	D₄	1	1	yes	characteristic
214	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
215	C₄×D₁₈₈	C₂³	1	2	yes	—
216	D₄×Dic₄₇	C₂³	1	2	yes	—
217	D₄×Dic₄₇	C₂³	1	2	yes	—
218	#13093986	C₂³	1	2	yes	—
219	C₄×C₂²⋊D₄₇	—	2	2	no	—
220	C₄×C₂²⋊D₄₇	—	2	2	no	—
221	C₄×C₂²⋊D₄₇	—	2	2	no	—
222	C₄×C₂²⋊D₄₇	—	2	2	no	—
223	C₄×C₂²⋊D₄₇	D₄	1	2	yes	—
224	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
225	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
226	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
227	#13093983	—	2	1	no	—
228	#13093983	—	2	2	no	—
229	#13093983	—	2	1	no	—
230	#13093983	—	2	1	no	—
231	#13093983	—	2	2	no	—
232	#13093983	D₄	1	1	yes	characteristic
233	#13093982	C₂³	1	2	yes	—
234	#13093981	D₄	1	2	yes	—
235	#13093980	—	2	2	no	—
236	C₂×C₄⋊Dic₄₇	—	2	1	no	—
237	C₂×C₄⋊Dic₄₇	—	2	1	no	—
238	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
240	C₂²⋊C₄×D₄₇	—	2	2	no	—
241	C₂×C₄×Dic₄₇	—	2	2	no	—
242	C₄²×D₄₇	C₂³	1	2	yes	—
243	#13093957	C₂³	1	2	yes	—
244	#13093957	C₂³	1	2	yes	—
245	#13093956	C₂³	1	2	yes	—
246	#13093956	C₂³	1	2	yes	—
247	#13093955	C₂³	1	2	yes	—
248	#13093955	C₂³	1	2	yes	—
249	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
250	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
251	Dic₄₇⋊C₈	C₂³	1	2	yes	—
252	Dic₄₇⋊C₈	C₂³	1	2	yes	—
253	#13093949	C₂³	1	2	yes	—
254	#13093949	C₂³	1	2	yes	—
255	#13093947	C₂³	1	2	yes	—
256	#13093947	C₂³	1	2	yes	—
257	#13093946	C₂³	1	2	yes	—
258	#13093946	C₂³	1	2	yes	—
259	#13093945	C₂³	1	2	yes	—
260	#13093945	C₂³	1	2	yes	—
261	#13093945	C₂³	1	2	yes	—
262	#13093945	C₂³	1	2	yes	—
263	#13093944	C₂³	1	2	yes	—
264	#13093944	C₂³	1	2	yes	—
265	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
266	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
268	#13093934	C₂³	1	2	yes	—
269	#13093934	C₂³	1	2	yes	—
270	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
271	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
272	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
273	C₂³×C₄×C₄₇	—	2	1	no	—
274	C₂³×C₄×C₄₇	—	2	1	no	—
275	C₂×D₈×C₄₇	—	2	4	no	—
276	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
277	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
278	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
279	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
280	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
281	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₄₇	—	2	1	no	—
283	C₄×D₄×C₄₇	—	2	1	no	—
284	C₄×D₄×C₄₇	—	2	1	no	—
285	C₄×D₄×C₄₇	—	2	1	no	—
286	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
297	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
298	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
299	#107×C₄₇	C₂³	1	1	yes	characteristic
300	#107×C₄₇	C₂³	1	1	yes	characteristic
301	#107×C₄₇	C₂³	1	1	yes	characteristic
302	#107×C₄₇	C₂³	1	1	yes	characteristic
303	#102×C₄₇	C₂³	1	1	yes	characteristic
304	#102×C₄₇	C₂³	1	1	yes	characteristic
305	#102×C₄₇	C₂³	1	1	yes	characteristic
306	#102×C₄₇	C₂³	1	1	yes	characteristic
307	#102×C₄₇	C₂³	1	1	yes	characteristic
308	#102×C₄₇	C₂³	1	1	yes	characteristic
309	#102×C₄₇	C₂³	1	1	yes	characteristic
310	#102×C₄₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₂⁴×C₄₇	—	2	1	no	—
316	C₂⁴×C₄₇	—	2	1	no	—
317	C₂³×D₄₇	—	2	2	no	—
318	C₂×D₄×C₄₇	—	2	2	no	—
319	C₂×D₄×C₄₇	—	2	2	no	—
320	C₂×D₄×C₄₇	—	2	1	no	—
321	C₂×D₄×C₄₇	—	2	1	no	—
322	C₂×D₄×C₄₇	—	4	1	no	—
323	C₂×D₄×C₄₇	—	4	1	no	—
324	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
325	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₄₇	—	2	1	no	—
329	C₂²×C₄×C₄₇	—	2	1	no	—
330	C₂²×C₄×C₄₇	—	2	1	no	—
331	C₂²×C₄×C₄₇	—	2	1	no	—
332	C₂²×C₄×C₄₇	—	2	1	no	—
333	C₂²×C₄×C₄₇	—	2	1	no	—
334	C₂²×C₄×C₄₇	—	2	1	no	—
335	C₂²×C₄×C₄₇	—	2	1	no	—
336	C₂²×C₄×C₄₇	—	2	1	no	—
337	C₂²×C₄×C₄₇	—	2	1	no	—
338	C₂²×C₄×C₄₇	—	4	4	no	—
339	C₂²×C₄×C₄₇	—	4	4	no	—
340	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
341	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
342	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
343	C₂×C₂²⋊D₄₇	—	2	2	no	—
344	C₂×C₂²⋊D₄₇	—	2	2	no	—
345	C₂×C₂²⋊D₄₇	—	2	2	no	—
346	C₂×C₂²⋊D₄₇	—	2	2	no	—
347	C₂×C₂²⋊D₄₇	—	2	2	no	—
348	C₂×C₂²⋊D₄₇	—	2	2	no	—
349	C₂×C₂²⋊D₄₇	—	2	2	no	—
350	C₂×C₂²⋊D₄₇	—	4	8	no	—
351	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
352	C₂²×Dic₄₇	—	2	2	no	—
353	C₂²×Dic₄₇	—	2	2	no	—
354	C₂²×Dic₄₇	—	2	2	no	—
355	#10625352	—	2	4	no	—
356	#10625352	—	4	2	no	—
357	D₄×D₄₇	—	2	4	no	—
358	D₄×D₄₇	—	4	2	no	—
359	#10625350	—	2	4	no	—
360	#10625350	—	4	4	no	—
361	#10625350	—	4	8	no	—
362	#10625350	—	4	4	no	—
363	#10625350	—	4	8	no	—
364	#10625350	—	4	4	no	—
365	C₂×D₁₈₈	—	2	2	no	—
366	C₂×D₁₈₈	—	2	1	no	—
367	C₂×D₁₈₈	—	2	1	no	—
368	C₂×D₁₈₈	—	4	4	no	—
369	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
370	C₂×D₁₈₈	C₂⁴	1	2	yes	—
371	C₂×C₄×D₄₇	—	2	2	no	—
372	C₂×C₄×D₄₇	—	2	2	no	—
373	C₂×C₄×D₄₇	—	2	2	no	—
374	C₂×C₄×D₄₇	—	4	8	no	—
375	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
376	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
377	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
378	C₂×Dic₉₄	—	2	1	no	—
379	C₂×Dic₉₄	—	2	2	no	—
380	C₂×Dic₉₄	—	2	1	no	—
381	C₂×Dic₉₄	—	4	4	no	—
382	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
383	C₂×Dic₉₄	C₂⁴	1	2	yes	—
384	D₈×C₄₇	—	2	2	no	—
385	D₈×C₄₇	—	2	2	no	—
386	D₈×C₄₇	—	2	2	no	—
387	D₈×C₄₇	#41	1	4	yes	complemented
388	C₂×C₈×C₄₇	—	2	2	no	—
389	C₂×C₈×C₄₇	—	4	1	no	—
390	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
391	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
392	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₄⋊C₄×C₄₇	—	2	1	no	—
395	C₄⋊C₄×C₄₇	—	2	1	no	—
396	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
398	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²⋊C₄×C₄₇	—	2	1	no	—
401	C₂²⋊C₄×C₄₇	—	2	1	no	—
402	C₂²⋊C₄×C₄₇	—	2	1	no	—
403	C₂²⋊C₄×C₄₇	—	2	1	no	—
404	C₂²⋊C₄×C₄₇	—	2	1	no	—
405	C₂²⋊C₄×C₄₇	—	2	1	no	—
406	C₂²⋊C₄×C₄₇	—	2	1	no	—
407	C₂²⋊C₄×C₄₇	—	2	1	no	—
408	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
409	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
410	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
411	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
412	C₂²⋊Dic₄₇	—	2	2	no	—
413	C₂²⋊Dic₄₇	—	2	2	no	—
414	C₂²⋊Dic₄₇	—	2	2	no	—
415	C₂²⋊Dic₄₇	—	2	2	no	—
416	C₂²⋊Dic₄₇	—	2	2	no	—
417	C₂²⋊Dic₄₇	—	2	2	no	—
418	C₂²⋊Dic₄₇	—	2	2	no	—
419	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
420	#10625335	—	2	4	no	—
421	#10625335	—	4	2	no	—
422	#10625334	—	2	4	no	—
423	#10625334	—	4	2	no	—
424	(C₂×D₄₇)⋊C₄	—	2	2	no	—
425	(C₂×D₄₇)⋊C₄	—	2	2	no	—
426	(C₂×D₄₇)⋊C₄	—	2	2	no	—
427	(C₂×D₄₇)⋊C₄	—	2	2	no	—
428	(C₂×D₄₇)⋊C₄	—	2	2	no	—
429	(C₂×D₄₇)⋊C₄	—	2	2	no	—
430	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
431	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
432	C₄⋊Dic₄₇	—	2	1	no	—
433	C₄⋊Dic₄₇	—	2	1	no	—
434	C₄⋊Dic₄₇	—	2	1	no	—
435	C₄⋊Dic₄₇	—	2	1	no	—
436	C₄⋊Dic₄₇	—	2	2	no	—
437	C₄⋊Dic₄₇	—	2	2	no	—
438	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
439	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
440	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
441	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
442	Dic₄₇⋊C₄	—	2	2	no	—
443	Dic₄₇⋊C₄	—	2	2	no	—
444	Dic₄₇⋊C₄	—	2	2	no	—
445	Dic₄₇⋊C₄	—	2	2	no	—
446	Dic₄₇⋊C₄	—	2	2	no	—
447	Dic₄₇⋊C₄	—	2	2	no	—
448	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
449	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
450	C₄×Dic₄₇	—	2	2	no	—
451	C₄×Dic₄₇	—	2	2	no	—
452	C₄×Dic₄₇	—	2	2	no	—
453	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
454	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
455	C₄×Dic₄₇	C₂⁴	1	2	yes	—
456	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
457	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
458	#10625325	—	2	4	no	—
459	#10625325	—	4	2	no	—
460	#10625324	—	2	4	no	—
461	#10625324	—	4	2	no	—
462	C₂³×C₄₇	—	2	1	no	—
463	C₂³×C₄₇	—	2	1	no	—
464	C₂³×C₄₇	—	2	1	no	—
465	C₂³×C₄₇	—	2	1	no	—
466	C₂³×C₄₇	—	4	2	no	—
467	C₂³×C₄₇	—	4	2	no	—
468	C₂³×C₄₇	—	4	2	no	—
469	C₂³×C₄₇	—	4	2	no	—
470	C₂³×C₄₇	—	8	1	no	—
471	C₂³×C₄₇	—	8	1	no	—
472	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
473	C₂²×D₄₇	—	2	2	no	—
474	C₂²×D₄₇	—	4	4	no	—
475	C₂²×D₄₇	—	4	4	no	—
476	C₂²×D₄₇	—	8	2	no	—
477	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
478	D₄×C₄₇	—	2	1	no	—
479	D₄×C₄₇	—	2	1	no	—
480	D₄×C₄₇	—	2	1	no	—
481	D₄×C₄₇	—	2	1	no	—
482	D₄×C₄₇	—	2	1	no	—
483	D₄×C₄₇	—	2	1	no	—
484	D₄×C₄₇	—	4	2	no	—
485	D₄×C₄₇	—	4	2	no	—
486	D₄×C₄₇	C₂×#41	1	2	yes	—
487	D₄×C₄₇	C₂×#41	1	2	yes	complemented
488	C₂×C₄×C₄₇	—	2	1	no	—
489	C₂×C₄×C₄₇	—	2	1	no	—
490	C₂×C₄×C₄₇	—	2	1	no	—
491	C₂×C₄×C₄₇	—	2	1	no	—
492	C₂×C₄×C₄₇	—	2	1	no	—
493	C₂×C₄×C₄₇	—	2	1	no	—
494	C₂×C₄×C₄₇	—	4	1	no	—
495	C₂×C₄×C₄₇	—	4	2	no	—
496	C₂×C₄×C₄₇	—	4	2	no	—
497	C₂×C₄×C₄₇	—	4	2	no	—
498	C₂×C₄×C₄₇	—	4	2	no	—
499	C₂×C₄×C₄₇	—	4	2	no	—
500	C₂×C₄×C₄₇	—	4	2	no	—
501	C₂×C₄×C₄₇	—	4	2	no	—
502	C₂×C₄×C₄₇	—	4	2	no	—
503	C₂×C₄×C₄₇	—	4	2	no	—
504	C₂×C₄×C₄₇	—	4	2	no	—
505	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	4	yes	complemented
506	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
512	C₂²⋊D₄₇	—	2	4	no	—
513	C₂²⋊D₄₇	—	4	4	no	—
514	C₂²⋊D₄₇	—	4	4	no	—
515	C₂²⋊D₄₇	—	4	4	no	—
516	C₂²⋊D₄₇	—	4	4	no	—
517	C₂²⋊D₄₇	—	4	4	no	—
518	C₂²⋊D₄₇	—	8	2	no	—
519	C₂²⋊D₄₇	—	8	2	no	—
520	C₂×Dic₄₇	—	2	2	no	—
521	C₂×Dic₄₇	—	2	2	no	—
522	C₂×Dic₄₇	—	2	2	no	—
523	C₂×Dic₄₇	—	4	4	no	—
524	C₂×Dic₄₇	—	4	4	no	—
525	C₂×Dic₄₇	—	8	2	no	—
526	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
527	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
528	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
529	D₁₈₈	—	2	2	no	—
530	D₁₈₈	—	2	2	no	—
531	D₁₈₈	—	2	2	no	—
532	D₁₈₈	—	4	4	no	—
533	D₁₈₈	—	4	2	no	—
534	D₁₈₈	—	8	1	no	—
535	C₄×D₄₇	—	2	4	no	—
536	C₄×D₄₇	—	2	2	no	—
537	C₄×D₄₇	—	2	2	no	—
538	C₄×D₄₇	—	4	2	no	—
539	C₄×D₄₇	—	4	4	no	—
540	C₄×D₄₇	—	4	4	no	—
541	C₄×D₄₇	—	4	4	no	—
542	Dic₉₄	—	2	2	no	—
543	Dic₉₄	—	2	2	no	—
544	Dic₉₄	—	2	2	no	—
545	Dic₉₄	—	4	4	no	—
546	Dic₉₄	—	4	2	no	—
547	Dic₉₄	—	8	1	no	—
548	C₈×C₄₇	—	2	1	no	—
549	C₈×C₄₇	—	2	1	no	—
550	C₈×C₄₇	—	2	1	no	—
551	C₈×C₄₇	C₂×#41	1	2	yes	complemented
552	C₄₇⋊C₈	—	2	2	no	—
553	C₄₇⋊C₈	—	2	2	no	—
554	#61437	—	47	1	no	maximal, Sylow
555	C₂²×C₄₇	—	2	1	no	—
556	C₂²×C₄₇	—	2	1	no	—
557	C₂²×C₄₇	—	2	2	no	—
558	C₂²×C₄₇	—	2	2	no	—
559	C₂²×C₄₇	—	4	1	no	—
560	C₂²×C₄₇	—	4	1	no	—
561	C₂²×C₄₇	—	4	1	no	—
562	C₂²×C₄₇	—	4	1	no	—
563	C₂²×C₄₇	—	4	1	no	—
564	C₂²×C₄₇	—	4	1	no	—
565	C₂²×C₄₇	—	4	1	no	—
566	C₂²×C₄₇	—	4	1	no	—
567	C₂²×C₄₇	—	4	1	no	—
568	C₂²×C₄₇	—	4	1	no	—
569	C₂²×C₄₇	—	8	4	no	—
570	C₂²×C₄₇	—	8	4	no	—
571	C₂²×C₄₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
572	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
573	C₂×D₄₇	—	2	2	no	—
574	C₂×D₄₇	—	2	2	no	—
575	C₂×D₄₇	—	2	2	no	—
576	C₂×D₄₇	—	4	2	no	—
577	C₂×D₄₇	—	4	2	no	—
578	C₂×D₄₇	—	4	2	no	—
579	C₂×D₄₇	—	8	8	no	—
580	C₄×C₄₇	—	2	1	no	—
581	C₄×C₄₇	—	2	1	no	—
582	C₄×C₄₇	—	2	1	no	—
583	C₄×C₄₇	—	4	1	no	—
584	C₄×C₄₇	—	4	1	no	—
585	C₄×C₄₇	—	4	1	no	—
586	C₄×C₄₇	—	4	1	no	—
587	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
588	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
589	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
590	C₄×C₄₇	#585	1	1	yes	characteristic
591	Dic₄₇	—	2	2	no	—
592	Dic₄₇	—	2	2	no	—
593	Dic₄₇	—	2	2	no	—
594	Dic₄₇	—	4	2	no	—
595	Dic₄₇	—	4	2	no	—
596	Dic₄₇	—	4	2	no	—
597	#3475	—	47	1	no	—
598	D₄×#41	—	47	1	no	—
599	#3397	—	47	1	no	—
600	#3384	—	47	1	no	—
601	#3367	—	47	1	no	—
602	#3366	—	47	1	no	—
603	#3354	—	47	1	no	—
604	#3343	—	47	2	no	—
605	#3330	—	47	1	no	—
606	#3325	—	47	1	no	—
607	#3310	—	47	2	no	—
608	#3306	—	47	2	no	—
609	#3272	—	47	1	no	—
610	#3264	—	47	2	no	—
611	#3171	—	47	2	no	—
612	#3167	—	47	1	no	—
613	#3106	—	47	2	no	—
614	#3105	—	47	2	no	—
615	#3101	—	47	1	no	—
616	#3100	—	47	1	no	—
617	#2965	—	47	1	no	—
618	C₄×AGL(1,ℤ/8)	—	47	2	no	—
619	C₂×C₄×D₈	D₄₇	1	1	yes	characteristic, complemented
620	C₂×C₄₇	—	2	2	no	—
621	C₂×C₄₇	—	4	2	no	—
622	C₂×C₄₇	—	4	2	no	—
623	C₂×C₄₇	—	8	1	no	—
624	C₂×C₄₇	—	8	1	no	—
625	C₂×C₄₇	D₄×#41	1	1	yes	characteristic
626	C₂×C₄₇	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
627	C₂×C₄₇	#3584	1	1	yes	characteristic
628	D₄₇	—	4	2	no	—
629	D₄₇	—	8	2	no	—
630	C₂²×#41	—	94	1	no	—
631	C₂×AGL(1,ℤ/8)	—	47	2	no	—
632	C₂²×D₈	C₂×D₄₇	1	1	yes	characteristic
633	#556	—	47	1	no	—
634	#555	—	47	1	no	—
635	#554	—	47	1	no	—
636	#553	—	94	1	no	—
637	#552	—	47	2	no	—
638	#552	—	94	1	no	—
639	#551	—	94	2	no	—
640	#550	—	47	1	no	—
641	D₄×Q₈	—	47	1	no	—
642	#548	—	94	1	no	—
643	#547	—	47	1	no	—
644	#547	—	47	2	no	—
645	#547	—	47	1	no	—
646	#546	—	47	2	no	—
647	#546	—	94	2	no	—
648	#546	—	94	1	no	—
649	D₄²	—	47	2	no	—
650	D₄²	—	47	1	no	—
651	#533	—	47	1	no	—
652	#532	—	47	2	no	—
653	#532	—	47	1	no	—
654	#529	—	47	2	no	—
655	#529	—	94	2	no	—
656	#525	—	94	2	no	—
657	#525	—	94	1	no	—
658	#525	—	94	1	no	—
659	C₄×#41	—	47	1	no	—
660	C₄×#41	—	47	2	no	—
661	C₂×C₄×D₄	—	47	2	no	—
662	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
663	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
664	C₂×#117	—	94	1	no	—
665	#501	—	47	2	no	—
666	#498	—	47	1	no	—
667	#496	—	47	2	no	—
668	#492	—	47	1	no	—
669	#490	—	47	2	no	—
670	#489	—	47	2	no	—
671	#487	—	47	1	no	—
672	#486	—	47	1	no	—
673	#484	—	47	2	no	—
674	#483	—	47	2	no	—
675	#482	—	47	2	no	—
676	#482	—	47	2	no	—
677	#481	—	47	2	no	—
678	#480	—	47	2	no	—
679	#478	—	47	2	no	—
680	#478	—	47	2	no	—
681	#477	—	47	2	no	—
682	#476	—	47	1	no	—
683	#476	—	47	1	no	—
684	#476	—	47	2	no	—
685	#474	—	47	1	no	—
686	#474	—	47	1	no	—
687	#469	—	47	2	no	—
688	#469	—	47	2	no	—
689	#468	—	47	2	no	—
690	#468	—	47	2	no	—
691	#465	—	47	2	no	—
692	#465	—	47	2	no	—
693	#463	—	47	2	no	—
694	#463	—	47	2	no	—
695	#461	—	47	1	no	—
696	#461	—	47	1	no	—
697	#460	—	47	2	no	—
698	#459	—	47	2	no	—
699	#459	—	47	1	no	—
700	#459	—	47	1	no	—
701	#450	—	47	2	no	—
702	#450	—	47	2	no	—
703	#449	—	47	2	no	—
704	#449	—	47	2	no	—
705	#447	—	47	2	no	—
706	#447	—	47	2	no	—
707	#446	—	47	1	no	—
708	#446	—	47	1	no	—
709	#442	—	47	2	no	—
710	#442	—	47	2	no	—
711	#440	—	47	2	no	—
712	#440	—	47	2	no	—
713	C₄×SD₁₆	—	47	2	no	—
714	C₄×SD₁₆	—	47	2	no	—
715	C₄×SD₁₆	—	47	2	no	—
716	C₄×SD₁₆	—	47	2	no	—
717	C₄×D₈	—	47	2	no	—
718	C₄×D₈	—	47	2	no	—
719	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
720	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
721	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
722	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic
723	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
724	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
725	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
726	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
727	#436	—	47	1	no	—
728	#436	—	47	1	no	—
729	#435	—	47	2	no	—
730	#435	—	47	2	no	—
731	#431	—	47	1	no	—
732	#431	—	47	2	no	—
733	#428	—	47	2	no	—
734	C₂×#107	C₂×D₄₇	1	1	yes	characteristic, complemented
735	#418	—	47	2	no	—
736	#417	—	47	2	no	—
737	C₂×#102	C₂×D₄₇	1	1	yes	characteristic
738	C₂×#102	C₂×D₄₇	1	1	yes	characteristic, complemented
739	C₄×M₁₆	—	47	2	no	—
740	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
741	C₄₇	#61437	1	1	yes	characteristic, complemented, Sylow
742	C₂×#41	—	47	1	no	—
743	C₂×#41	—	47	2	no	—
744	C₂×#41	—	94	2	no	—
745	C₂×#41	—	94	2	no	—
746	C₂×#41	—	94	1	no	—
747	C₂×#41	—	94	1	no	—
748	C₂×#41	—	94	1	no	—
749	C₂×#41	—	188	8	no	—
750	C₂²×Q₈	—	94	1	no	—
751	C₂²×D₄	—	47	2	no	—
752	C₂²×D₄	—	94	1	no	—
753	C₂²×D₄	—	94	2	no	—
754	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
755	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
756	C₂³×C₄	—	2	1	no	—
757	C₂³×C₄	—	2	1	no	—
758	C₂³×C₄	—	94	2	no	—
759	AGL(1,ℤ/8)	—	94	8	no	—
760	C₂×SD₁₆	—	47	2	no	—
761	C₂×SD₁₆	—	47	2	no	—
762	C₂×SD₁₆	—	47	2	no	—
763	C₂×SD₁₆	—	47	2	no	—
764	C₂×D₈	—	2	4	no	—
765	C₂×D₈	—	47	2	no	—
766	C₂×D₈	—	47	2	no	—
767	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
768	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
769	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
770	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
771	C₂×M₁₆	—	47	2	no	—
772	C₂×M₁₆	—	47	2	no	—
773	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
774	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
775	C₄⋊Q₈	—	47	2	no	—
776	C₄⋊Q₈	—	47	1	no	—
777	C₄⋊Q₈	—	47	1	no	—
778	C₄⋊Q₈	—	47	1	no	—
779	#127	—	47	2	no	—
780	#127	—	47	1	no	—
781	#126	—	94	2	no	—
782	#126	—	94	2	no	—
783	#126	—	94	2	no	—
784	#125	—	47	2	no	—
785	#125	—	94	2	no	—
786	#125	—	94	1	no	—
787	#124	—	47	2	no	—
788	#124	—	94	2	no	—
789	#124	—	94	2	no	—
790	#124	—	94	1	no	—
791	#123	—	94	2	no	—
792	#123	—	94	2	no	—
793	#123	—	94	2	no	—
794	#123	—	94	2	no	—
795	#123	—	94	2	no	—
796	#123	—	94	2	no	—
797	#123	—	94	2	no	—
798	C₂²⋊Q₈	—	47	2	no	—
799	C₂²⋊Q₈	—	47	2	no	—
800	C₂²⋊Q₈	—	94	2	no	—
801	C₂²⋊Q₈	—	94	2	no	—
802	C₂²⋊Q₈	—	94	2	no	—
803	C₂²⋊Q₈	—	94	1	no	—
804	C₂²⋊Q₈	—	94	1	no	—
805	C₂²⋊Q₈	—	94	1	no	—
806	C₂²⋊Q₈	—	94	1	no	—
807	C₂²⋊Q₈	—	94	1	no	—
808	#121	—	47	2	no	—
809	#121	—	47	2	no	—
810	#121	—	47	2	no	—
811	#121	—	47	2	no	—
812	#121	—	94	2	no	—
813	#121	—	94	2	no	—
814	#121	—	94	2	no	—
815	#121	—	94	1	no	—
816	#121	—	94	1	no	—
817	#121	—	94	2	no	—
818	#121	—	94	1	no	—
819	#121	—	94	1	no	—
820	#121	—	94	1	no	—
821	#120	—	94	2	no	—
822	#120	—	94	2	no	—
823	#120	—	94	2	no	—
824	#120	—	94	2	no	—
825	C₄×Q₈	—	47	1	no	—
826	C₄×Q₈	—	47	1	no	—
827	C₄×Q₈	—	47	2	no	—
828	C₄×Q₈	—	47	2	no	—
829	C₄×Q₈	—	94	1	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	47	2	no	—
835	C₄×D₄	—	47	2	no	—
836	C₄×D₄	—	47	2	no	—
837	C₄×D₄	—	47	2	no	—
838	C₄×D₄	—	47	2	no	—
839	C₄×D₄	—	47	1	no	—
840	C₄×D₄	—	47	1	no	—
841	C₄×D₄	—	47	2	no	—
842	C₄×D₄	—	94	2	no	—
843	C₄×D₄	—	94	2	no	—
844	C₄×D₄	—	94	2	no	—
845	C₄×D₄	—	94	2	no	—
846	C₄×D₄	—	94	2	no	—
847	C₄×D₄	—	94	2	no	—
848	C₄×D₄	—	94	1	no	—
849	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
850	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
851	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
852	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
853	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
854	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
855	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
856	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
857	#117	—	47	1	no	—
858	#117	—	47	2	no	—
859	#117	—	47	2	no	—
860	#117	—	94	2	no	—
861	#117	—	94	2	no	—
862	#117	—	94	2	no	—
863	#117	—	94	1	no	—
864	#117	—	94	1	no	—
865	#117	—	94	1	no	—
866	C₂×C₄⋊C₄	—	47	2	no	—
867	C₂×C₄⋊C₄	—	94	1	no	—
868	C₂×C₄⋊C₄	—	94	1	no	—
869	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
871	C₂×C₂²⋊C₄	—	2	1	no	—
872	C₂×C₂²⋊C₄	—	2	1	no	—
873	C₂×C₂²⋊C₄	—	94	2	no	—
874	C₂×C₂²⋊C₄	—	94	2	no	—
875	C₂×C₄²	—	47	2	no	—
876	C₂×C₄²	—	94	2	no	—
877	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
878	#107	—	47	2	no	—
879	#107	—	47	2	no	—
880	#107	C₂²×D₄₇	1	1	yes	characteristic
881	#107	C₂²×D₄₇	1	1	yes	characteristic
882	#107	C₂²×D₄₇	1	1	yes	characteristic
883	#107	C₂²×D₄₇	1	1	yes	characteristic
884	#106	—	47	2	no	—
885	#106	—	47	2	no	—
886	#106	—	47	2	no	—
887	#106	—	47	2	no	—
888	C₄⋊C₈	—	47	2	no	—
889	C₄⋊C₈	—	47	2	no	—
890	C₄⋊C₈	—	47	1	no	—
891	C₄⋊C₈	—	47	1	no	—
892	#103	—	47	2	no	—
893	#103	—	47	2	no	—
894	#103	—	47	2	no	—
895	#103	—	47	2	no	—
896	#102	—	47	2	no	—
897	#102	—	47	2	no	—
898	#102	—	47	2	no	—
899	#102	—	47	2	no	—
900	#102	—	47	2	no	—
901	#102	—	47	2	no	—
902	#102	—	47	2	no	—
903	#102	—	47	2	no	—
904	#102	C₂²×D₄₇	1	1	yes	characteristic
905	#102	C₂²×D₄₇	1	1	yes	characteristic
906	#102	C₂²×D₄₇	1	1	yes	characteristic
907	#102	C₂²×D₄₇	1	1	yes	characteristic
908	#102	C₂²×D₄₇	1	1	yes	characteristic
909	#102	C₂²×D₄₇	1	1	yes	characteristic
910	#102	C₂²×D₄₇	1	1	yes	characteristic
911	#102	C₂²×D₄₇	1	1	yes	characteristic
912	C₂²⋊C₈	—	47	2	no	—
913	C₂²⋊C₈	—	47	2	no	—
914	C₂²⋊C₈	—	47	2	no	—
915	#97	—	47	2	no	—
916	#97	—	47	2	no	—
917	C₄×C₈	—	47	2	no	—
918	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
919	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
920	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
921	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
922	C₂⁴	—	2	1	no	—
923	C₂⁴	—	2	1	no	—
924	C₂⁴	—	94	2	no	—
925	#41	—	94	4	no	—
926	#41	—	94	4	no	—
927	#41	—	188	8	no	—
928	#41	—	188	8	no	—
929	#41	—	188	4	no	—
930	#41	—	188	4	no	—
931	#41	—	188	2	no	—
932	#41	—	188	4	no	—
933	C₂×Q₈	—	47	1	no	—
934	C₂×Q₈	—	47	2	no	—
935	C₂×Q₈	—	94	2	no	—
936	C₂×Q₈	—	94	1	no	—
937	C₂×Q₈	—	94	1	no	—
938	C₂×Q₈	—	188	4	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	2	2	no	—
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	4	1	no	—
944	C₂×D₄	—	4	1	no	—
945	C₂×D₄	—	47	2	no	—
946	C₂×D₄	—	47	1	no	—
947	C₂×D₄	—	47	2	no	—
948	C₂×D₄	—	94	2	no	—
949	C₂×D₄	—	94	2	no	—
950	C₂×D₄	—	94	2	no	—
951	C₂×D₄	—	94	2	no	—
952	C₂×D₄	—	94	4	no	—
953	C₂×D₄	—	94	2	no	—
954	C₂×D₄	—	94	2	no	—
955	C₂×D₄	—	94	2	no	—
956	C₂×D₄	—	94	2	no	—
957	C₂×D₄	—	94	1	no	—
958	C₂×D₄	—	94	1	no	—
959	C₂×D₄	—	188	4	no	—
960	C₂×D₄	—	188	2	no	—
961	C₂×D₄	—	188	8	no	—
962	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
963	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
964	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
965	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	1	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	1	no	—
972	C₂²×C₄	—	2	1	no	—
973	C₂²×C₄	—	2	1	no	—
974	C₂²×C₄	—	2	1	no	—
975	C₂²×C₄	—	2	1	no	—
976	C₂²×C₄	—	4	4	no	—
977	C₂²×C₄	—	4	4	no	—
978	C₂²×C₄	—	47	2	no	—
979	C₂²×C₄	—	47	2	no	—
980	C₂²×C₄	—	47	2	no	—
981	C₂²×C₄	—	94	2	no	—
982	C₂²×C₄	—	94	2	no	—
983	C₂²×C₄	—	94	2	no	—
984	C₂²×C₄	—	94	2	no	—
985	C₂²×C₄	—	94	2	no	—
986	C₂²×C₄	—	94	2	no	—
987	C₂²×C₄	—	188	8	no	—
988	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
989	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
991	SD₁₆	—	94	4	no	—
992	SD₁₆	—	94	4	no	—
993	SD₁₆	—	188	2	no	—
994	SD₁₆	—	188	2	no	—
995	D₈	—	2	2	no	—
996	D₈	—	2	2	no	—
997	D₈	—	2	2	no	—
998	D₈	—	94	4	no	—
999	D₈	—	188	2	no	—
1000	D₈	#10625350	1	4	yes	complemented
1001	M₁₆	—	94	4	no	—
1002	M₁₆	—	188	2	no	—
1003	C₂×C₈	—	2	2	no	—
1004	C₂×C₈	—	4	1	no	—
1005	C₂×C₈	—	47	2	no	—
1006	C₂×C₈	—	47	2	no	—
1007	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1008	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1009	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1010	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1011	C₄⋊C₄	—	2	1	no	—
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	47	2	no	—
1014	C₄⋊C₄	—	47	2	no	—
1015	C₄⋊C₄	—	47	1	no	—
1016	C₄⋊C₄	—	47	1	no	—
1017	C₄⋊C₄	—	47	2	no	—
1018	C₄⋊C₄	—	47	2	no	—
1019	C₄⋊C₄	—	94	2	no	—
1020	C₄⋊C₄	—	94	2	no	—
1021	C₄⋊C₄	—	94	2	no	—
1022	C₄⋊C₄	—	94	2	no	—
1023	C₄⋊C₄	—	94	2	no	—
1024	C₄⋊C₄	—	94	2	no	—
1025	C₄⋊C₄	—	94	2	no	—
1026	C₄⋊C₄	—	94	2	no	—
1027	C₄⋊C₄	—	94	1	no	—
1028	C₄⋊C₄	—	94	1	no	—
1029	C₄⋊C₄	—	94	1	no	—
1030	C₄⋊C₄	—	94	1	no	—
1031	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1032	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1033	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1034	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	1	no	—
1040	C₂²⋊C₄	—	2	1	no	—
1041	C₂²⋊C₄	—	2	1	no	—
1042	C₂²⋊C₄	—	2	1	no	—
1043	C₂²⋊C₄	—	47	2	no	—
1044	C₂²⋊C₄	—	47	2	no	—
1045	C₂²⋊C₄	—	47	2	no	—
1046	C₂²⋊C₄	—	94	2	no	—
1047	C₂²⋊C₄	—	94	2	no	—
1048	C₂²⋊C₄	—	94	2	no	—
1049	C₂²⋊C₄	—	94	2	no	—
1050	C₂²⋊C₄	—	94	2	no	—
1051	C₂²⋊C₄	—	94	2	no	—
1052	C₂²⋊C₄	—	94	2	no	—
1053	C₂²⋊C₄	—	94	2	no	—
1054	C₂²⋊C₄	—	94	2	no	—
1055	C₂²⋊C₄	—	94	2	no	—
1056	C₂²⋊C₄	—	94	2	no	—
1057	C₂²⋊C₄	—	94	2	no	—
1058	C₂²⋊C₄	—	94	2	no	—
1059	C₄²	—	47	2	no	—
1060	C₄²	—	47	2	no	—
1061	C₄²	—	47	2	no	—
1062	C₄²	—	94	2	no	—
1063	C₄²	—	94	2	no	—
1064	C₄²	—	94	2	no	—
1065	C₄²	D₄×D₄₇	1	1	yes	characteristic
1066	C₄²	D₄×D₄₇	1	1	yes	characteristic
1067	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1068	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	1	no	—
1073	C₂³	—	4	2	no	—
1074	C₂³	—	4	2	no	—
1075	C₂³	—	4	2	no	—
1076	C₂³	—	4	2	no	—
1077	C₂³	—	8	1	no	—
1078	C₂³	—	8	1	no	—
1079	C₂³	—	47	2	no	—
1080	C₂³	—	94	2	no	—
1081	C₂³	—	376	2	no	—
1082	C₂³	—	188	4	no	—
1083	C₂³	—	188	4	no	—
1084	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1085	Q₈	—	94	2	no	—
1086	Q₈	—	94	2	no	—
1087	Q₈	—	94	2	no	—
1088	Q₈	—	376	1	no	—
1089	Q₈	—	188	4	no	—
1090	Q₈	—	188	2	no	—
1091	D₄	—	2	1	no	—
1092	D₄	—	2	1	no	—
1093	D₄	—	2	1	no	—
1094	D₄	—	2	1	no	—
1095	D₄	—	2	1	no	—
1096	D₄	—	2	1	no	—
1097	D₄	—	4	2	no	—
1098	D₄	—	4	2	no	—
1099	D₄	—	94	4	no	—
1100	D₄	—	94	2	no	—
1101	D₄	—	94	2	no	—
1102	D₄	—	94	2	no	—
1103	D₄	—	376	1	no	—
1104	D₄	—	376	2	no	—
1105	D₄	—	376	2	no	—
1106	D₄	—	188	4	no	—
1107	D₄	—	188	4	no	—
1108	D₄	—	188	4	no	—
1109	D₄	—	188	4	no	—
1110	D₄	—	188	4	no	—
1111	D₄	—	188	4	no	—
1112	D₄	—	188	2	no	—
1113	D₄	C₂×#10625350	1	2	yes	—
1114	D₄	C₂×#10625350	1	2	yes	complemented
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	4	1	no	—
1122	C₂×C₄	—	4	2	no	—
1123	C₂×C₄	—	4	2	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	4	2	no	—
1126	C₂×C₄	—	4	2	no	—
1127	C₂×C₄	—	4	2	no	—
1128	C₂×C₄	—	4	2	no	—
1129	C₂×C₄	—	4	2	no	—
1130	C₂×C₄	—	4	2	no	—
1131	C₂×C₄	—	4	2	no	—
1132	C₂×C₄	—	47	2	no	—
1133	C₂×C₄	—	47	2	no	—
1134	C₂×C₄	—	47	2	no	—
1135	C₂×C₄	—	94	4	no	—
1136	C₂×C₄	—	94	2	no	—
1137	C₂×C₄	—	94	2	no	—
1138	C₂×C₄	—	94	2	no	—
1139	C₂×C₄	—	94	2	no	—
1140	C₂×C₄	—	94	2	no	—
1141	C₂×C₄	—	376	2	no	—
1142	C₂×C₄	—	188	2	no	—
1143	C₂×C₄	—	188	4	no	—
1144	C₂×C₄	—	188	4	no	—
1145	C₂×C₄	—	188	4	no	—
1146	C₂×C₄	—	188	4	no	—
1147	C₂×C₄	—	188	4	no	—
1148	C₂×C₄	#13094048	1	4	yes	complemented
1149	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1150	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1151	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1152	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1153	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1154	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1155	C₈	—	2	1	no	—
1156	C₈	—	2	1	no	—
1157	C₈	—	2	1	no	—
1158	C₈	—	94	2	no	—
1159	C₈	—	94	2	no	—
1160	C₈	C₂×#10625350	1	2	yes	complemented
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	1	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	4	1	no	—
1175	C₂²	—	8	4	no	—
1176	C₂²	—	8	4	no	—
1177	C₂²	—	94	2	no	—
1178	C₂²	—	94	2	no	—
1179	C₂²	—	94	2	no	—
1180	C₂²	—	376	8	no	—
1181	C₂²	—	188	2	no	—
1182	C₂²	—	188	2	no	—
1183	C₂²	—	188	2	no	—
1184	C₂²	C₂×#13094048	1	2	yes	—
1185	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1186	C₄	—	2	1	no	—
1187	C₄	—	2	1	no	—
1188	C₄	—	2	1	no	—
1189	C₄	—	4	1	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	4	1	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	94	2	no	—
1194	C₄	—	94	2	no	—
1195	C₄	—	94	2	no	—
1196	C₄	—	188	2	no	—
1197	C₄	—	188	2	no	—
1198	C₄	—	188	2	no	—
1199	C₄	C₂×#13094048	1	2	yes	—
1200	C₄	C₂×#13094048	1	2	yes	—
1201	C₄	C₂²×#10625350	1	1	yes	characteristic
1202	C₄	#15689959	1	1	yes	characteristic
1203	C₂	—	2	2	no	—
1204	C₂	—	4	2	no	—
1205	C₂	—	4	2	no	—
1206	C₂	—	8	1	no	—
1207	C₂	—	8	1	no	—
1208	C₂	—	376	2	no	—
1209	C₂	—	188	2	no	—
1210	C₂	D₄×#10625350	1	1	yes	characteristic
1211	C₂	C₂²×#13094048	1	1	yes	characteristic
1212	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄×D₈×C₄₇	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	C₂×C₄×D₈	D₄₇
hypocenter	C₄₇	#61437
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₂×C₄×D₈

Complements

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

N	H ≅ G/N	type
1. #20256946	C₂	semidirect
2. D₄×#10625350	C₂	semidirect
3. #20256406	C₂	semidirect
4. #20256285	C₂	semidirect
5. #20256104	C₂	semidirect
6. #20256093	C₂	semidirect
7. #20255985	C₂	semidirect
8. #20255824	C₂	semidirect
9. #20255695	C₂	semidirect
10. #20255632	C₂	semidirect
11. #20255405	C₂	semidirect
12. #20255345	C₂	semidirect
13. #20254989	C₂	semidirect
14. #20254868	C₂	semidirect
15. #20253981	C₂	semidirect
16. #20253947	C₂	semidirect
17. #20253444	C₂	semidirect
18. #20253433	C₂	semidirect
19. #20253396	C₂	semidirect
20. #20253388	C₂	semidirect
21. #20252354	C₂	semidirect
22. C₄×#13094048	C₂	semidirect
23. C₂×C₄×D₈×C₄₇	C₂	semidirect
26. #15689843	C₂²	semidirect
27. #15689838	C₂²	semidirect
28. #15689830	C₂²	semidirect
31. #15689808	C₂²	semidirect
33. #15689794	C₂²	semidirect
34. D₄×Dic₉₄	C₂²	semidirect
36. #15689778	C₂²	semidirect
37. #15689777	C₂²	semidirect
40. #15689767	C₂²	semidirect
42. D₄×D₁₈₈	C₂²	semidirect
44. #15689680	C₂²	semidirect
46. #15689670	C₂²	semidirect
47. #15689655	C₂²	semidirect
53. C₄×#10625352	C₂²	semidirect
54. C₄×D₄×D₄₇	C₂²	semidirect
56. #15689531	C₂²	semidirect
57. #15689521	C₂²	semidirect
58. #15689511	C₂²	semidirect
59. #15689496	C₂²	semidirect
60. #15689486	C₂²	semidirect
61. #15689481	C₂²	semidirect
62. #15689474	C₂²	semidirect
63. #15689470	C₂²	semidirect
64. #15689460	C₂²	semidirect
65. #15689453	C₂²	semidirect
66. #15689450	C₂²	semidirect
67. #15689446	C₂²	semidirect
68. #15689440	C₂²	semidirect
69. #15689436	C₂²	semidirect
70. #15689426	C₂²	semidirect
71. #15689425	C₂²	semidirect
72. #15689417	C₂²	semidirect
73. #15689413	C₂²	semidirect
74. #15689413	C₂²	semidirect
75. #15689411	C₂²	semidirect
76. #15689403	C₂²	semidirect
77. #15689403	C₂²	semidirect
78. #15689375	C₂²	semidirect
79. #15689373	C₂²	semidirect
80. #15689370	C₂²	semidirect
81. #15689368	C₂²	semidirect
82. #15689352	C₂²	semidirect
83. #15689352	C₂²	semidirect
84. #15689337	C₂²	semidirect
86. #15689328	C₂²	semidirect
87. #15689328	C₂²	semidirect
88. #15689322	C₂²	semidirect
89. #15689318	C₂²	semidirect
90. #15689318	C₂²	semidirect
91. #15689316	C₂²	semidirect
92. #15689275	C₂²	semidirect
94. #15689269	C₂²	semidirect
95. #15689265	C₂²	semidirect
96. #15689257	C₂²	semidirect
98. #15689253	C₂²	semidirect
99. #15689253	C₂²	semidirect
101. #15689232	C₂²	semidirect
102. #15689222	C₂²	semidirect
103. #15689220	C₂²	semidirect
104. C₄×#10625325	C₂²	semidirect
105. C₄×#10625325	C₂²	semidirect
106. C₄×#10625335	C₂²	semidirect
107. C₄×#10625335	C₂²	semidirect
108. C₄×#10625334	C₂²	semidirect
109. C₄×#10625334	C₂²	semidirect
110. #15689202	C₂²	semidirect
111. #15689202	C₂²	semidirect
112. #15689194	C₂²	semidirect
113. #15689194	C₂²	semidirect
114. #15689176	C₂²	semidirect
115. #15689174	C₂²	semidirect
116. #15689164	C₂²	semidirect
117. #15689126	C₂²	semidirect
118. #15689121	C₂²	semidirect
119. C₄×#10625324	C₂²	semidirect
122. C₂×C₄×D₄×C₄₇	C₂²	semidirect
127. C₄×D₈×C₄₇	C₂²	semidirect
128. C₄×D₈×C₄₇	C₂²	semidirect
129. C₄×D₈×C₄₇	C₂²	semidirect
130. C₄×D₈×C₄₇	C₂²	semidirect
131. C₂×#107×C₄₇	C₂²	semidirect
133. C₂×#102×C₄₇	C₂²	semidirect
134. C₂×C₄×C₈×C₄₇	C₂²	semidirect
387. D₈×C₄₇	#41	semidirect
487. D₄×C₄₇	C₂×#41	semidirect
505. C₂×C₄×C₄₇	AGL(1,ℤ/8)	semidirect
551. C₈×C₄₇	C₂×#41	semidirect
619. C₂×C₄×D₈	D₄₇	semidirect
663. C₂×C₄×D₄	C₂×D₄₇	semidirect
723. C₄×D₈	C₂×D₄₇	semidirect
724. C₄×D₈	C₂×D₄₇	semidirect
725. C₄×D₈	C₂×D₄₇	semidirect
726. C₄×D₈	C₂×D₄₇	semidirect
734. C₂×#107	C₂×D₄₇	semidirect
738. C₂×#102	C₂×D₄₇	semidirect
740. C₂×C₄×C₈	C₂×D₄₇	semidirect
741. C₄₇	#61437	semidirect
1000. D₈	#10625350	semidirect
1114. D₄	C₂×#10625350	semidirect
1148. C₂×C₄	#13094048	semidirect
1160. C₈	C₂×#10625350	semidirect

Maximal subgroups

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

subgroup	index
#20256946	2
D₄×#10625350	2
#20256406	2
#20256285	2
#20256104	2
#20256093	2
#20255985	2
#20255824	2
#20255695	2
#20255632	2
#20255405	2
#20255345	2
#20254989	2
#20254868	2
#20253981	2
#20253947	2
#20253444	2
#20253433	2
#20253396	2
#20253388	2
#20252354	2
C₄×#13094048	2
C₂×C₄×D₈×C₄₇	2
#61437	47