Subgroups — #27124846

Order 12032.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257141	C₂	1	4	yes	maximal, complemented
2	#20257130	C₂	1	4	yes	maximal, complemented
3	#20257124	C₂	1	4	yes	maximal, complemented
4	#20257113	C₂	1	4	yes	maximal, complemented
5	#20257101	C₂	1	4	yes	maximal, complemented
6	#20257091	C₂	1	4	yes	maximal, complemented
7	#20257081	C₂	1	4	yes	maximal, complemented
8	#20257073	C₂	1	4	yes	maximal, complemented
9	#20256952	C₂	1	8	yes	maximal, complemented
10	#20256942	C₂	1	8	yes	maximal, complemented
11	#20256793	C₂	1	1	yes	maximal, characteristic, complemented
12	#20256773	C₂	1	4	yes	maximal, complemented
13	#20256717	C₂	1	1	yes	maximal, characteristic, complemented
14	#20256681	C₂	1	4	yes	maximal, complemented
15	C₂×#15689635	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15689630	C₂	1	1	yes	maximal, characteristic, complemented
17	#20256589	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#117×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₇×#3428	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#10625350	C₂²	1	1	yes	characteristic
21	C₂³×C₄×D₄₇	C₂²	1	1	yes	characteristic
22	#15689846	C₂²	1	8	yes	complemented
23	#15689841	C₂²	1	8	yes	complemented
24	#15689838	C₂²	1	8	yes	complemented
25	#15689836	C₂²	1	8	yes	complemented
26	#15689833	C₂²	1	8	yes	complemented
27	#15689828	C₂²	1	8	yes	complemented
28	#15689823	C₂²	1	8	yes	complemented
29	#15689823	C₂²	1	8	yes	complemented
30	#15689821	C₂²	1	8	yes	complemented
31	#15689817	C₂²	1	8	yes	complemented
32	#15689814	C₂²	1	8	yes	complemented
33	#15689814	C₂²	1	8	yes	complemented
34	#15689813	C₂²	1	16	yes	complemented
35	#15689812	C₂²	1	8	yes	complemented
36	#15689808	C₂²	1	8	yes	complemented
37	#15689806	C₂²	1	16	yes	complemented
38	#15689802	C₂²	1	16	yes	complemented
39	#15689802	C₂²	1	16	yes	complemented
40	#15689799	C₂²	1	16	yes	complemented
41	#15689797	C₂²	1	16	yes	complemented
42	#15689778	C₂²	1	8	yes	complemented
43	#15689774	C₂²	1	8	yes	complemented
44	#15689769	C₂²	1	16	yes	complemented
45	#15689763	C₂²	1	16	yes	complemented
46	#15689754	C₂²	1	4	yes	complemented
47	#15689751	C₂²	1	4	yes	complemented
48	#15689751	C₂²	1	4	yes	complemented
49	#15689749	C₂²	1	4	yes	—
50	#15689745	C₂²	1	8	yes	complemented
51	#15689738	C₂²	1	8	yes	complemented
52	#15689731	C₂²	1	8	yes	complemented
53	#15689724	C₂²	1	8	yes	complemented
54	#15689715	C₂²	1	16	yes	complemented
55	#15689706	C₂²	1	16	yes	complemented
56	#15689701	C₂²	1	4	yes	complemented
57	#15689697	C₂²	1	2	yes	complemented
58	#15689694	C₂²	1	2	yes	complemented
59	#15689690	C₂²	1	2	yes	complemented
60	#15689687	C₂²	1	2	yes	complemented
61	#15689682	C₂²	1	4	yes	—
62	#15689680	C₂²	1	4	yes	complemented
63	#15689677	C₂²	1	8	yes	complemented
64	#15689676	C₂²	1	4	yes	complemented
65	#15689676	C₂²	1	4	yes	complemented
66	#15689670	C₂²	1	8	yes	complemented
67	#15689669	C₂²	1	4	yes	complemented
68	#15689660	C₂²	1	8	yes	complemented
69	#15689657	C₂²	1	16	yes	complemented
70	#15689655	C₂²	1	8	yes	complemented
71	#15689653	C₂²	1	16	yes	complemented
72	#15689651	C₂²	1	16	yes	complemented
73	#15689651	C₂²	1	16	yes	complemented
74	#15689635	C₂²	1	4	yes	—
75	#15689635	C₂²	1	4	yes	—
76	#15689635	C₂²	1	2	yes	complemented
77	#15689635	C₂²	1	2	yes	complemented
78	#15689635	C₂²	1	2	yes	complemented
79	#15689635	C₂²	1	2	yes	complemented
80	#15689634	C₂²	1	4	yes	complemented
81	#15689632	C₂²	1	16	yes	complemented
82	#15689630	C₂²	1	4	yes	—
83	#15689630	C₂²	1	4	yes	—
84	#15689630	C₂²	1	2	yes	complemented
85	#15689630	C₂²	1	2	yes	complemented
86	#15689630	C₂²	1	2	yes	complemented
87	#15689630	C₂²	1	2	yes	complemented
88	#15689630	C₂²	1	4	yes	complemented
89	C₂×#13094008	C₂²	1	2	yes	—
90	C₂×#13094005	C₂²	1	2	yes	—
91	C₂×#13094004	C₂²	1	2	yes	complemented
92	C₂×#13094000	C₂²	1	2	yes	complemented
93	C₂×#13093999	C₂²	1	2	yes	complemented
94	C₂×#13093995	C₂²	1	2	yes	complemented
95	C₂×#13093994	C₂²	1	2	yes	—
96	C₂×#13093992	C₂²	1	2	yes	—
97	#15689604	C₂²	1	4	yes	complemented
98	#15689603	C₂²	1	4	yes	complemented
99	#15689600	C₂²	1	2	yes	complemented
100	#15689597	C₂²	1	2	yes	complemented
101	#15689596	C₂²	1	4	yes	—
102	C₄×#10625350	C₂²	1	4	yes	complemented
103	C₄×#10625350	C₂²	1	16	yes	complemented
104	#15689591	C₂²	1	4	yes	complemented
105	C₂×C₄×D₁₈₈	C₂²	1	4	yes	complemented
106	C₂×C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
107	C₂×#13093983	C₂²	1	1	yes	characteristic
108	C₂×#13093983	C₂²	1	1	yes	characteristic
109	C₂×#13093982	C₂²	1	2	yes	complemented
110	C₂×#13093981	C₂²	1	2	yes	complemented
111	C₂×#13093980	C₂²	1	2	yes	—
112	#117×D₄₇	C₂²	1	4	yes	complemented
113	#117×D₄₇	C₂²	1	4	yes	complemented
114	#117×D₄₇	C₂²	1	4	yes	complemented
115	#117×D₄₇	C₂²	1	4	yes	complemented
116	#117×D₄₇	C₂²	1	4	yes	complemented
117	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	complemented
118	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	—
119	C₂×C₄²×D₄₇	C₂²	1	2	yes	complemented
120	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
121	C₄₇×#520	C₂²	1	4	yes	complemented
122	C₄₇×#520	C₂²	1	4	yes	complemented
123	C₄₇×#519	C₂²	1	2	yes	complemented
124	C₄₇×#518	C₂²	1	4	yes	—
125	C₄₇×#518	C₂²	1	2	yes	complemented
126	C₄×#41×C₄₇	C₂²	1	4	yes	complemented
127	C₄×#41×C₄₇	C₂²	1	4	yes	complemented
128	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
129	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
130	C₂×#117×C₄₇	C₂²	1	4	yes	complemented
131	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
132	C₂×#10625350	—	2	8	no	—
133	C₂×#10625350	C₂³	1	2	yes	—
134	C₂×#10625350	C₂³	1	2	yes	—
135	C₂×#10625350	C₂³	1	2	yes	—
136	C₂×#10625350	C₂³	1	2	yes	—
137	C₂×#10625350	C₂³	1	16	yes	—
138	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
139	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
140	C₂²×D₁₈₈	C₂³	1	4	yes	—
141	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
142	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
143	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
144	C₂²×C₄×D₄₇	—	2	8	no	—
145	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
146	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
147	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
148	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
149	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
150	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
151	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
152	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
153	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
154	C₂²×C₄×D₄₇	C₂³	1	4	yes	—
155	#13094024	C₂³	1	8	yes	complemented
156	#13094023	C₂³	1	8	yes	complemented
157	#13094023	C₂³	1	8	yes	complemented
158	#13094022	C₂³	1	4	yes	complemented
159	#13094020	C₂³	1	4	yes	complemented
160	#13094019	C₂³	1	16	yes	—
161	#13094019	C₂³	1	16	yes	complemented
162	#13094018	C₂³	1	16	yes	—
163	#13094018	C₂³	1	16	yes	complemented
164	#13094017	C₂³	1	16	yes	complemented
165	#13094017	C₂³	1	16	yes	complemented
166	#13094016	C₂³	1	16	yes	complemented
167	#13094016	C₂³	1	8	yes	complemented
168	#13094015	C₂³	1	8	yes	complemented
169	#13094015	C₂³	1	8	yes	complemented
170	#13094014	C₂³	1	16	yes	complemented
171	#13094014	C₂³	1	16	yes	complemented
172	#13094013	C₂³	1	4	yes	complemented
173	#13094012	C₂³	1	16	yes	—
174	#13094011	C₂³	1	4	yes	complemented
175	#13094010	C₂³	1	16	yes	—
176	#13094010	C₂³	1	16	yes	complemented
177	#13094009	C₂³	1	16	yes	—
178	#13094009	C₂³	1	16	yes	—
179	#13094008	C₂³	1	8	yes	—
180	#13094008	C₂³	1	4	yes	—
181	#13094008	C₂³	1	4	yes	—
182	#13094007	C₂³	1	16	yes	—
183	#13094007	C₂³	1	8	yes	—
184	#13094007	C₂³	1	16	yes	complemented
185	#13094006	C₂³	1	16	yes	—
186	#13094006	C₂³	1	16	yes	complemented
187	#13094005	C₂³	1	8	yes	—
188	#13094005	C₂³	1	8	yes	—
189	#13094005	C₂³	1	4	yes	—
190	#13094005	C₂³	1	4	yes	—
191	#13094004	C₂³	1	4	yes	—
192	#13094004	C₂³	1	4	yes	—
193	#13094004	C₂³	1	4	yes	—
194	#13094004	C₂³	1	4	yes	—
195	#13094003	C₂³	1	16	yes	—
196	#13094003	C₂³	1	16	yes	complemented
197	#13094003	C₂³	1	8	yes	complemented
198	#13094002	C₂³	1	16	yes	—
199	#13094002	C₂³	1	16	yes	complemented
200	#13094001	C₂³	1	16	yes	—
201	#13094001	C₂³	1	16	yes	—
202	#13094000	C₂³	1	4	yes	—
203	#13094000	C₂³	1	4	yes	—
204	#13094000	C₂³	1	4	yes	—
205	#13094000	C₂³	1	4	yes	—
206	#13094000	C₂³	1	8	yes	complemented
207	#13093999	C₂³	1	4	yes	—
208	#13093999	C₂³	1	4	yes	—
209	#13093999	C₂³	1	4	yes	—
210	#13093999	C₂³	1	4	yes	—
211	#13093998	C₂³	1	16	yes	—
212	#13093998	C₂³	1	8	yes	complemented
213	#13093997	C₂³	1	16	yes	—
214	#13093997	C₂³	1	16	yes	—
215	#13093996	C₂³	1	16	yes	—
216	#13093995	C₂³	1	4	yes	—
217	#13093995	C₂³	1	4	yes	—
218	#13093995	C₂³	1	4	yes	—
219	#13093995	C₂³	1	4	yes	—
220	#13093995	C₂³	1	8	yes	complemented
221	#13093994	C₂³	1	8	yes	—
222	#13093994	C₂³	1	4	yes	—
223	#13093994	C₂³	1	4	yes	—
224	#13093993	C₂³	1	8	yes	—
225	#13093992	C₂³	1	8	yes	—
226	#13093992	C₂³	1	8	yes	—
227	#13093992	C₂³	1	4	yes	—
228	#13093992	C₂³	1	4	yes	—
229	C₄×Dic₉₄	C₂³	1	8	yes	complemented
230	C₄×Dic₉₄	C₂³	1	16	yes	complemented
231	C₄×Dic₉₄	C₂³	1	16	yes	complemented
232	#13093989	C₂³	1	8	yes	complemented
233	C₄×D₁₈₈	C₂³	1	16	yes	—
234	C₄×D₁₈₈	C₂³	1	8	yes	—
235	C₄×D₁₈₈	C₂³	1	8	yes	—
236	C₄×D₁₈₈	C₂³	1	8	yes	—
237	C₄×D₁₈₈	C₂³	1	8	yes	—
238	C₄×D₁₈₈	C₂³	1	8	yes	complemented
239	#13093986	C₂³	1	8	yes	complemented
240	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
241	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
242	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
243	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
244	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
245	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
246	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
247	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
248	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	—
249	#13093983	C₂³	1	2	yes	—
250	#13093983	C₂³	1	2	yes	—
251	#13093983	C₂³	1	2	yes	—
252	#13093983	C₂³	1	2	yes	—
253	#13093983	C₂³	1	2	yes	—
254	#13093983	C₂³	1	2	yes	—
255	#13093983	C₂³	1	2	yes	—
256	#13093983	C₂³	1	2	yes	—
257	#13093983	C₂³	1	16	yes	complemented
258	#13093982	C₂³	1	4	yes	—
259	#13093982	C₂³	1	4	yes	—
260	#13093982	C₂³	1	4	yes	—
261	#13093982	C₂³	1	4	yes	—
262	#13093982	C₂³	1	8	yes	complemented
263	#13093981	C₂³	1	8	yes	—
264	#13093981	C₂³	1	16	yes	—
265	#13093981	C₂³	1	8	yes	—
266	#13093981	C₂³	1	16	yes	complemented
267	#13093981	C₂³	1	8	yes	complemented
268	#13093980	C₂³	1	8	yes	—
269	#13093980	C₂³	1	8	yes	—
270	#13093980	C₂³	1	8	yes	—
271	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
272	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
273	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
274	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
275	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
276	C₄⋊C₄×D₄₇	C₂³	1	4	yes	—
277	C₄⋊C₄×D₄₇	C₂³	1	4	yes	—
278	C₄⋊C₄×D₄₇	C₂³	1	4	yes	—
279	C₄⋊C₄×D₄₇	C₂³	1	4	yes	—
280	C₄⋊C₄×D₄₇	C₂³	1	8	yes	complemented
281	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
284	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
285	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
286	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
287	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
288	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
289	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
290	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
291	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
292	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
293	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
294	C₄²×D₄₇	C₂³	1	8	yes	—
295	C₄²×D₄₇	C₂³	1	8	yes	—
296	C₄²×D₄₇	C₂³	1	8	yes	complemented
297	C₂×#41×C₄₇	—	2	8	no	—
298	C₂×#41×C₄₇	C₂³	1	2	yes	—
299	C₂×#41×C₄₇	C₂³	1	2	yes	—
300	C₂×#41×C₄₇	C₂³	1	2	yes	—
301	C₂×#41×C₄₇	C₂³	1	2	yes	—
302	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
303	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
304	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
305	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
306	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
307	C₄×Q₈×C₄₇	C₂³	1	8	yes	complemented
308	C₄×Q₈×C₄₇	C₂³	1	8	yes	complemented
309	C₄×D₄×C₄₇	C₂³	1	16	yes	—
310	C₄×D₄×C₄₇	C₂³	1	16	yes	—
311	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
312	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
313	#117×C₄₇	C₂³	1	2	yes	—
314	#117×C₄₇	C₂³	1	2	yes	—
315	#117×C₄₇	C₂³	1	2	yes	—
316	#117×C₄₇	C₂³	1	2	yes	—
317	#117×C₄₇	C₂³	1	2	yes	—
318	#117×C₄₇	C₂³	1	2	yes	—
319	#117×C₄₇	C₂³	1	2	yes	—
320	#117×C₄₇	C₂³	1	2	yes	—
321	#117×C₄₇	C₂³	1	8	yes	—
322	#117×C₄₇	C₂³	1	8	yes	complemented
323	#117×C₄₇	C₂³	1	8	yes	complemented
324	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
325	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
326	C₂×C₄⋊C₄×C₄₇	C₂³	1	8	yes	complemented
327	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
328	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
329	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
330	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
331	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
332	C₂×C₄²×C₄₇	C₂³	1	8	yes	complemented
333	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
334	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
335	C₂³×D₄₇	—	2	4	no	—
336	C₂³×D₄₇	—	4	4	no	—
337	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
338	C₂³×D₄₇	C₂⁴	1	2	yes	—
339	C₂³×D₄₇	C₂⁴	1	2	yes	—
340	C₂³×D₄₇	C₂⁴	1	2	yes	—
341	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
342	#41×C₄₇	—	2	8	no	—
343	#41×C₄₇	—	2	8	no	—
344	#41×C₄₇	—	2	8	no	—
345	#41×C₄₇	—	2	8	no	—
346	C₂×Q₈×C₄₇	—	2	4	no	—
347	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
348	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
349	C₂×D₄×C₄₇	—	2	8	no	—
350	C₂×D₄×C₄₇	—	2	4	no	—
351	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
352	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
353	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
354	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₄₇	—	2	8	no	—
356	C₂²×C₄×C₄₇	#41	1	8	yes	complemented
357	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
359	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
361	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
362	C₂²×C₄×C₄₇	C₂⁴	1	16	yes	—
363	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
369	C₂×C₂²⋊D₄₇	—	2	8	no	—
370	C₂×C₂²⋊D₄₇	—	4	8	no	—
371	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
372	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
373	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
374	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
375	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
376	C₂²×Dic₄₇	—	2	4	no	—
377	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
379	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
380	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
381	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
383	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
384	#10625350	—	2	8	no	—
385	#10625350	—	2	8	no	—
386	#10625350	—	2	8	no	—
387	#10625350	—	2	8	no	—
388	#10625350	—	4	32	no	—
389	C₂×D₁₈₈	—	2	4	no	—
390	C₂×D₁₈₈	—	4	8	no	—
391	C₂×D₁₈₈	C₂⁴	1	2	yes	—
392	C₂×D₁₈₈	C₂⁴	1	8	yes	—
393	C₂×D₁₈₈	C₂⁴	1	2	yes	—
394	C₂×D₁₈₈	C₂⁴	1	8	yes	—
395	C₂×C₄×D₄₇	—	2	8	no	—
396	C₂×C₄×D₄₇	—	2	8	no	—
397	C₂×C₄×D₄₇	—	2	8	no	—
398	C₂×C₄×D₄₇	—	2	8	no	—
399	C₂×C₄×D₄₇	—	2	4	no	—
400	C₂×C₄×D₄₇	—	2	4	no	—
401	C₂×C₄×D₄₇	—	2	4	no	—
402	C₂×C₄×D₄₇	—	2	4	no	—
403	C₂×C₄×D₄₇	—	2	8	no	—
404	C₂×C₄×D₄₇	—	4	8	no	—
405	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
406	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
407	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
408	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
409	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
410	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
411	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
412	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
413	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
414	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
415	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
416	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
417	C₂×C₄×D₄₇	C₂⁴	1	16	yes	—
418	C₂×Dic₉₄	—	2	4	no	—
419	C₂×Dic₉₄	C₂⁴	1	2	yes	—
420	C₂×Dic₉₄	C₂⁴	1	2	yes	—
421	C₂×Dic₉₄	C₂⁴	1	16	yes	—
422	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
423	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
424	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
425	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
426	C₄⋊C₄×C₄₇	C₂⁴	1	16	yes	—
427	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
428	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
429	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
430	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
431	C₂²⋊C₄×C₄₇	C₂⁴	1	16	yes	—
432	C₄²×C₄₇	C₂⁴	1	4	yes	—
433	C₄²×C₄₇	C₂⁴	1	4	yes	—
434	C₄²×C₄₇	C₂⁴	1	4	yes	—
435	C₄²×C₄₇	C₂⁴	1	4	yes	—
436	C₄²×C₄₇	C₂⁴	1	16	yes	—
437	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
438	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
439	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
440	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
441	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
442	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
443	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
444	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
445	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
446	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
447	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
448	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
449	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
450	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
451	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
452	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
454	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
455	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
456	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
457	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
458	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
459	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
460	C₄⋊Dic₄₇	C₂⁴	1	16	yes	—
461	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
462	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
463	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
464	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
465	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
466	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
467	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
468	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
469	C₄×Dic₄₇	C₂⁴	1	8	yes	—
470	C₄×Dic₄₇	C₂⁴	1	8	yes	—
471	C₄×Dic₄₇	C₂⁴	1	4	yes	—
472	C₄×Dic₄₇	C₂⁴	1	4	yes	—
473	C₄×Dic₄₇	C₂⁴	1	4	yes	—
474	C₄×Dic₄₇	C₂⁴	1	16	yes	—
475	C₄×Dic₄₇	C₂⁴	1	4	yes	—
476	C₂³×C₄₇	—	2	4	no	—
477	C₂³×C₄₇	—	4	2	no	—
478	C₂³×C₄₇	—	4	4	no	—
479	C₂³×C₄₇	C₂×#41	1	4	yes	—
480	C₂³×C₄₇	C₂⁵	1	4	yes	—
481	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
482	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
483	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
484	C₂²×D₄₇	—	2	2	no	—
485	C₂²×D₄₇	—	2	4	no	—
486	C₂²×D₄₇	—	2	4	no	—
487	C₂²×D₄₇	—	2	4	no	—
488	C₂²×D₄₇	—	2	2	no	—
489	C₂²×D₄₇	—	2	4	no	—
490	C₂²×D₄₇	—	2	4	no	—
491	C₂²×D₄₇	—	2	4	no	—
492	C₂²×D₄₇	—	4	2	no	—
493	C₂²×D₄₇	—	4	2	no	—
494	C₂²×D₄₇	—	4	2	no	—
495	C₂²×D₄₇	—	4	4	no	—
496	C₂²×D₄₇	—	4	16	no	—
497	C₂²×D₄₇	C₂⁵	1	2	yes	—
498	C₂²×D₄₇	C₂⁵	1	4	yes	—
499	C₂²×D₄₇	C₂⁵	1	2	yes	—
500	Q₈×C₄₇	—	2	4	no	—
501	Q₈×C₄₇	—	2	4	no	—
502	D₄×C₄₇	—	2	8	no	—
503	D₄×C₄₇	—	2	8	no	—
504	D₄×C₄₇	—	2	4	no	—
505	D₄×C₄₇	—	2	4	no	—
506	C₂×C₄×C₄₇	—	2	4	no	—
507	C₂×C₄×C₄₇	—	2	8	no	—
508	C₂×C₄×C₄₇	—	2	8	no	—
509	C₂×C₄×C₄₇	—	4	4	no	—
510	C₂×C₄×C₄₇	—	4	4	no	—
511	C₂×C₄×C₄₇	—	4	16	no	—
512	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
513	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
514	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
515	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
516	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
517	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
518	C₂×C₄×C₄₇	C₂⁵	1	8	yes	—
519	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
520	C₂×C₄×C₄₇	C₂⁵	1	8	yes	—
521	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
522	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
523	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
524	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
525	C₂²⋊D₄₇	—	2	8	no	—
526	C₂²⋊D₄₇	—	2	8	no	—
527	C₂²⋊D₄₇	—	2	16	no	—
528	C₂²⋊D₄₇	—	4	16	no	—
529	C₂²⋊D₄₇	—	4	8	no	—
530	C₂×Dic₄₇	—	2	4	no	—
531	C₂×Dic₄₇	—	2	4	no	—
532	C₂×Dic₄₇	—	2	4	no	—
533	C₂×Dic₄₇	—	2	2	no	—
534	C₂×Dic₄₇	—	2	2	no	—
535	C₂×Dic₄₇	—	4	4	no	—
536	C₂×Dic₄₇	—	4	4	no	—
537	C₂×Dic₄₇	C₂⁵	1	2	yes	—
538	C₂×Dic₄₇	C₂⁵	1	4	yes	—
539	C₂×Dic₄₇	C₂⁵	1	8	yes	—
540	C₂×Dic₄₇	C₂⁵	1	8	yes	—
541	C₂×Dic₄₇	C₂⁵	1	2	yes	—
542	D₁₈₈	—	2	16	no	—
543	D₁₈₈	—	2	4	no	—
544	D₁₈₈	—	2	4	no	—
545	D₁₈₈	—	4	8	no	—
546	C₄×D₄₇	—	2	16	no	—
547	C₄×D₄₇	—	2	4	no	—
548	C₄×D₄₇	—	2	4	no	—
549	C₄×D₄₇	—	2	4	no	—
550	C₄×D₄₇	—	2	4	no	—
551	C₄×D₄₇	—	2	4	no	—
552	C₄×D₄₇	—	2	4	no	—
553	C₄×D₄₇	—	2	4	no	—
554	C₄×D₄₇	—	2	4	no	—
555	C₄×D₄₇	—	2	8	no	—
556	C₄×D₄₇	—	2	8	no	—
557	C₄×D₄₇	—	4	8	no	—
558	C₄×D₄₇	—	4	16	no	—
559	Dic₉₄	—	2	4	no	—
560	Dic₉₄	—	2	4	no	—
561	Dic₉₄	—	4	16	no	—
562	#62814	—	47	1	no	maximal, Sylow
563	C₂²×C₄₇	—	2	2	no	—
564	C₂²×C₄₇	—	2	2	no	—
565	C₂²×C₄₇	—	2	2	no	—
566	C₂²×C₄₇	—	2	4	no	—
567	C₂²×C₄₇	—	2	8	no	—
568	C₂²×C₄₇	—	4	4	no	—
569	C₂²×C₄₇	—	8	4	no	—
570	C₂²×C₄₇	C₂²×#41	1	2	yes	—
571	C₂²×C₄₇	C₂²×#41	1	2	yes	—
572	C₂²×C₄₇	C₂²×#41	1	2	yes	—
573	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
574	C₂×D₄₇	—	2	8	no	—
575	C₂×D₄₇	—	2	2	no	—
576	C₂×D₄₇	—	2	2	no	—
577	C₂×D₄₇	—	2	2	no	—
578	C₂×D₄₇	—	2	4	no	—
579	C₂×D₄₇	—	2	8	no	—
580	C₂×D₄₇	—	2	2	no	—
581	C₂×D₄₇	—	2	2	no	—
582	C₂×D₄₇	—	4	8	no	—
583	C₂×D₄₇	—	4	8	no	—
584	C₂×D₄₇	—	4	4	no	—
585	C₂×D₄₇	—	8	4	no	—
586	C₂×D₄₇	#585	1	4	yes	—
587	C₄×C₄₇	—	2	4	no	—
588	C₄×C₄₇	—	2	8	no	—
589	C₄×C₄₇	—	2	8	no	—
590	C₄×C₄₇	C₂²×#41	1	2	yes	—
591	C₄×C₄₇	C₂²×#41	1	2	yes	—
592	C₄×C₄₇	C₂²×#41	1	2	yes	—
593	C₄×C₄₇	C₂²×#41	1	2	yes	—
594	Dic₄₇	—	2	4	no	—
595	Dic₄₇	—	2	2	no	—
596	Dic₄₇	—	2	2	no	—
597	Dic₄₇	—	2	8	no	—
598	Dic₄₇	—	2	8	no	—
599	#3495	—	47	4	no	—
600	#3495	—	47	4	no	—
601	#3494	—	47	4	no	—
602	#3494	—	47	4	no	—
603	#3493	—	47	4	no	—
604	#3492	—	47	4	no	—
605	#3491	—	47	4	no	—
606	#3490	—	47	4	no	—
607	#3475	—	47	8	no	—
608	#3475	—	47	8	no	—
609	#3458	—	47	1	no	—
610	#3455	—	47	4	no	—
611	#3449	—	47	1	no	—
612	#3444	—	47	4	no	—
613	C₂×#525	—	47	1	no	—
614	C₂×#525	—	47	1	no	—
615	#3428	—	47	1	no	—
616	#3428	D₄₇	1	1	yes	characteristic, complemented
617	C₂²×#117	—	47	1	no	—
618	C₂×C₄₇	—	2	2	no	—
619	C₂×C₄₇	—	2	2	no	—
620	C₂×C₄₇	—	2	2	no	—
621	C₂×C₄₇	—	4	4	no	—
622	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
623	C₂×C₄₇	C₂×#585	1	2	yes	—
624	D₄₇	—	2	4	no	—
625	D₄₇	—	4	2	no	—
626	D₄₇	—	4	4	no	—
627	C₂²×#41	—	47	1	no	—
628	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
629	C₂⁴×C₄	—	47	1	no	—
630	#556	—	47	8	no	—
631	#556	—	47	8	no	—
632	#555	—	47	8	no	—
633	#555	—	47	8	no	—
634	#554	—	47	8	no	—
635	#554	—	47	8	no	—
636	#553	—	47	8	no	—
637	#553	—	47	8	no	—
638	#553	—	47	8	no	—
639	#553	—	47	8	no	—
640	#552	—	47	8	no	—
641	#552	—	47	8	no	—
642	#552	—	47	16	no	—
643	#552	—	47	16	no	—
644	#552	—	47	8	no	—
645	#552	—	47	8	no	—
646	#551	—	47	16	no	—
647	#551	—	47	16	no	—
648	#551	—	47	16	no	—
649	#551	—	47	16	no	—
650	#547	—	47	8	no	—
651	#547	—	47	8	no	—
652	#546	—	47	16	no	—
653	#546	—	47	16	no	—
654	#544	—	47	4	no	—
655	#544	—	47	4	no	—
656	#544	—	47	4	no	—
657	#543	—	47	4	no	—
658	#542	—	47	8	no	—
659	#542	—	47	8	no	—
660	#541	—	47	8	no	—
661	#540	—	47	8	no	—
662	#539	—	47	16	no	—
663	#538	—	47	16	no	—
664	#537	—	47	4	no	—
665	#536	—	47	2	no	—
666	#536	—	47	2	no	—
667	#535	—	47	2	no	—
668	#535	—	47	2	no	—
669	#534	—	47	4	no	—
670	#533	—	47	8	no	—
671	#533	—	47	4	no	—
672	#533	—	47	4	no	—
673	#533	—	47	4	no	—
674	#532	—	47	4	no	—
675	#532	—	47	8	no	—
676	#529	—	47	8	no	—
677	#529	—	47	16	no	—
678	#529	—	47	8	no	—
679	#529	—	47	16	no	—
680	#529	—	47	16	no	—
681	#529	—	47	16	no	—
682	#525	—	47	2	no	—
683	#525	—	47	2	no	—
684	#525	—	47	4	no	—
685	#525	—	47	4	no	—
686	#525	—	47	2	no	—
687	#525	—	47	2	no	—
688	#525	—	47	4	no	—
689	#525	—	47	4	no	—
690	#525	—	47	16	no	—
691	#525	—	47	2	no	—
692	#525	—	47	2	no	—
693	#525	—	47	4	no	—
694	#525	—	47	4	no	—
695	#525	—	47	2	no	—
696	#525	—	47	2	no	—
697	C₂×#123	—	47	2	no	—
698	C₂×#123	—	47	2	no	—
699	C₂×C₂²⋊Q₈	—	47	2	no	—
700	C₂×C₂²⋊Q₈	—	47	2	no	—
701	C₂×#121	—	47	2	no	—
702	C₂×#121	—	47	2	no	—
703	C₂×#120	—	47	2	no	—
704	C₂×#120	—	47	2	no	—
705	#520	—	47	4	no	—
706	#520	—	47	4	no	—
707	#520	C₂×D₄₇	1	4	yes	complemented
708	#520	C₂×D₄₇	1	4	yes	complemented
709	#519	—	47	2	no	—
710	#519	C₂×D₄₇	1	2	yes	complemented
711	#518	—	47	2	no	—
712	#518	—	47	4	no	—
713	#518	C₂×D₄₇	1	4	yes	—
714	#518	C₂×D₄₇	1	2	yes	complemented
715	C₄×#41	—	47	4	no	—
716	C₄×#41	—	47	4	no	—
717	C₄×#41	—	47	16	no	—
718	C₄×#41	C₂×D₄₇	1	4	yes	complemented
719	C₄×#41	C₂×D₄₇	1	4	yes	complemented
720	C₂×C₄×D₄	—	47	4	no	—
721	C₂×C₄×D₄	—	47	4	no	—
722	C₂×#117	—	47	1	no	—
723	C₂×#117	—	47	1	no	—
724	C₂×#117	—	47	4	no	—
725	C₂×#117	—	47	4	no	—
726	C₂×#117	—	47	4	no	—
727	C₂×#117	—	47	4	no	—
728	C₂×#117	—	47	4	no	—
729	C₂×#117	—	47	2	no	—
730	C₂×#117	—	47	2	no	—
731	C₂×#117	—	47	2	no	—
732	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
733	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
734	C₂×#117	C₂×D₄₇	1	4	yes	complemented
735	C₂²×C₄⋊C₄	—	47	2	no	—
736	C₂²×C₂²⋊C₄	—	47	2	no	—
737	C₂²×C₄²	—	47	2	no	—
738	C₄₇	#62814	1	1	yes	characteristic, complemented, Sylow
739	C₂⁵	—	47	1	no	—
740	C₂×#41	—	2	8	no	—
741	C₂×#41	—	47	2	no	—
742	C₂×#41	—	47	2	no	—
743	C₂×#41	—	47	2	no	—
744	C₂×#41	—	47	2	no	—
745	C₂×#41	—	47	16	no	—
746	C₂×#41	—	94	8	no	—
747	C₂×#41	C₂²×D₄₇	1	2	yes	—
748	C₂×#41	C₂²×D₄₇	1	2	yes	—
749	C₂×#41	C₂²×D₄₇	1	2	yes	—
750	C₂×#41	C₂²×D₄₇	1	2	yes	—
751	C₂²×Q₈	—	47	1	no	—
752	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
753	C₂²×D₄	—	47	2	no	—
754	C₂²×D₄	—	47	4	no	—
755	C₂²×D₄	—	47	1	no	—
756	C₂²×D₄	—	47	4	no	—
757	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
758	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
759	C₂³×C₄	—	47	1	no	—
760	C₂³×C₄	—	47	1	no	—
761	C₂³×C₄	—	47	2	no	—
762	C₂³×C₄	—	47	2	no	—
763	C₂³×C₄	—	47	2	no	—
764	C₂³×C₄	—	47	2	no	—
765	C₂³×C₄	—	47	2	no	—
766	C₂³×C₄	—	47	1	no	—
767	C₂³×C₄	—	47	1	no	—
768	C₂³×C₄	—	47	1	no	—
769	C₂³×C₄	—	47	4	no	—
770	C₂³×C₄	—	94	8	no	—
771	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
772	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
773	C₄⋊Q₈	—	47	4	no	—
774	C₄⋊Q₈	—	47	8	no	—
775	C₄⋊Q₈	—	47	8	no	—
776	C₄⋊Q₈	—	47	8	no	—
777	#127	—	47	4	no	—
778	#126	—	47	16	no	—
779	#126	—	47	16	no	—
780	#126	—	47	16	no	—
781	#126	—	47	16	no	—
782	#126	—	47	16	no	—
783	#126	—	47	16	no	—
784	#125	—	47	8	no	—
785	#125	—	47	16	no	—
786	#125	—	47	16	no	—
787	#125	—	47	8	no	—
788	#125	—	47	16	no	—
789	#125	—	47	8	no	—
790	#124	—	47	4	no	—
791	#124	—	47	4	no	—
792	#124	—	47	16	no	—
793	#124	—	47	16	no	—
794	#124	—	47	16	no	—
795	#123	—	47	4	no	—
796	#123	—	47	4	no	—
797	#123	—	47	8	no	—
798	#123	—	47	8	no	—
799	#123	—	47	8	no	—
800	#123	—	47	16	no	—
801	#123	—	47	16	no	—
802	#123	—	47	16	no	—
803	#123	—	47	16	no	—
804	#123	—	47	4	no	—
805	#123	—	47	4	no	—
806	#123	—	47	8	no	—
807	#123	—	47	16	no	—
808	#123	—	47	16	no	—
809	C₂²⋊Q₈	—	47	4	no	—
810	C₂²⋊Q₈	—	47	4	no	—
811	C₂²⋊Q₈	—	47	4	no	—
812	C₂²⋊Q₈	—	47	4	no	—
813	C₂²⋊Q₈	—	47	8	no	—
814	C₂²⋊Q₈	—	47	8	no	—
815	C₂²⋊Q₈	—	47	16	no	—
816	C₂²⋊Q₈	—	47	16	no	—
817	C₂²⋊Q₈	—	47	4	no	—
818	C₂²⋊Q₈	—	47	4	no	—
819	C₂²⋊Q₈	—	47	4	no	—
820	C₂²⋊Q₈	—	47	4	no	—
821	C₂²⋊Q₈	—	47	16	no	—
822	C₂²⋊Q₈	—	47	16	no	—
823	C₂²⋊Q₈	—	47	16	no	—
824	C₂²⋊Q₈	—	47	16	no	—
825	#121	—	47	4	no	—
826	#121	—	47	4	no	—
827	#121	—	47	4	no	—
828	#121	—	47	4	no	—
829	#121	—	47	16	no	—
830	#121	—	47	8	no	—
831	#121	—	47	8	no	—
832	#121	—	47	16	no	—
833	#121	—	47	4	no	—
834	#121	—	47	4	no	—
835	#121	—	47	4	no	—
836	#121	—	47	4	no	—
837	#121	—	47	16	no	—
838	#121	—	47	16	no	—
839	#120	—	47	8	no	—
840	#120	—	47	4	no	—
841	#120	—	47	4	no	—
842	#120	—	47	8	no	—
843	#120	—	47	8	no	—
844	#120	—	47	4	no	—
845	#120	—	47	4	no	—
846	#120	—	47	8	no	—
847	C₄×Q₈	—	47	8	no	—
848	C₄×Q₈	—	47	8	no	—
849	C₄×Q₈	—	47	16	no	—
850	C₄×Q₈	—	47	16	no	—
851	C₄×Q₈	C₂²×D₄₇	1	8	yes	complemented
852	C₄×Q₈	C₂²×D₄₇	1	8	yes	complemented
853	C₄×D₄	—	47	8	no	—
854	C₄×D₄	—	47	8	no	—
855	C₄×D₄	—	47	8	no	—
856	C₄×D₄	—	47	8	no	—
857	C₄×D₄	—	47	16	no	—
858	C₄×D₄	—	47	16	no	—
859	C₄×D₄	—	47	16	no	—
860	C₄×D₄	—	47	16	no	—
861	C₄×D₄	—	47	8	no	—
862	C₄×D₄	—	47	16	no	—
863	C₄×D₄	—	47	8	no	—
864	C₄×D₄	—	47	8	no	—
865	C₄×D₄	—	47	8	no	—
866	C₄×D₄	—	47	8	no	—
867	C₄×D₄	—	47	8	no	—
868	C₄×D₄	—	47	16	no	—
869	C₄×D₄	C₂²×D₄₇	1	16	yes	—
870	C₄×D₄	C₂²×D₄₇	1	16	yes	—
871	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
872	C₄×D₄	C₂²×D₄₇	1	8	yes	complemented
873	#117	—	47	2	no	—
874	#117	—	47	2	no	—
875	#117	—	47	2	no	—
876	#117	—	47	2	no	—
877	#117	—	47	2	no	—
878	#117	—	47	2	no	—
879	#117	—	47	2	no	—
880	#117	—	47	2	no	—
881	#117	—	47	16	no	—
882	#117	—	47	4	no	—
883	#117	—	47	4	no	—
884	#117	—	47	4	no	—
885	#117	—	47	4	no	—
886	#117	—	47	8	no	—
887	#117	—	47	8	no	—
888	#117	—	47	8	no	—
889	#117	—	47	8	no	—
890	#117	—	47	8	no	—
891	#117	—	47	8	no	—
892	#117	—	47	8	no	—
893	#117	—	47	16	no	—
894	#117	—	47	16	no	—
895	#117	C₂²×D₄₇	1	2	yes	—
896	#117	C₂²×D₄₇	1	2	yes	—
897	#117	C₂²×D₄₇	1	2	yes	—
898	#117	C₂²×D₄₇	1	2	yes	—
899	#117	C₂²×D₄₇	1	2	yes	—
900	#117	C₂²×D₄₇	1	2	yes	—
901	#117	C₂²×D₄₇	1	2	yes	—
902	#117	C₂²×D₄₇	1	2	yes	—
903	#117	C₂²×D₄₇	1	8	yes	—
904	#117	C₂²×D₄₇	1	8	yes	complemented
905	#117	C₂²×D₄₇	1	8	yes	complemented
906	C₂×C₄⋊C₄	—	47	2	no	—
907	C₂×C₄⋊C₄	—	47	4	no	—
908	C₂×C₄⋊C₄	—	47	2	no	—
909	C₂×C₄⋊C₄	—	47	4	no	—
910	C₂×C₄⋊C₄	—	47	4	no	—
911	C₂×C₄⋊C₄	—	47	4	no	—
912	C₂×C₄⋊C₄	—	47	4	no	—
913	C₂×C₄⋊C₄	—	47	4	no	—
914	C₂×C₄⋊C₄	—	47	4	no	—
915	C₂×C₄⋊C₄	—	47	8	no	—
916	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
917	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
918	C₂×C₄⋊C₄	C₂²×D₄₇	1	8	yes	complemented
919	C₂×C₂²⋊C₄	—	47	2	no	—
920	C₂×C₂²⋊C₄	—	47	2	no	—
921	C₂×C₂²⋊C₄	—	47	4	no	—
922	C₂×C₂²⋊C₄	—	47	4	no	—
923	C₂×C₂²⋊C₄	—	47	4	no	—
924	C₂×C₂²⋊C₄	—	47	4	no	—
925	C₂×C₂²⋊C₄	—	47	4	no	—
926	C₂×C₂²⋊C₄	—	47	8	no	—
927	C₂×C₂²⋊C₄	—	47	8	no	—
928	C₂×C₂²⋊C₄	—	47	8	no	—
929	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
930	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
931	C₂×C₂²⋊C₄	C₂²×D₄₇	1	8	yes	—
932	C₂×C₄²	—	47	4	no	—
933	C₂×C₄²	—	47	2	no	—
934	C₂×C₄²	—	47	2	no	—
935	C₂×C₄²	—	47	8	no	—
936	C₂×C₄²	—	47	8	no	—
937	C₂×C₄²	—	47	8	no	—
938	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
939	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
940	C₂×C₄²	C₂²×D₄₇	1	8	yes	complemented
941	C₂⁴	—	47	1	no	—
942	C₂⁴	—	47	2	no	—
943	C₂⁴	—	47	2	no	—
944	C₂⁴	—	47	2	no	—
945	C₂⁴	—	47	1	no	—
946	C₂⁴	—	94	4	no	—
947	C₂⁴	—	188	4	no	—
948	C₂⁴	C₂³×D₄₇	1	2	yes	—
949	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
950	#41	—	2	8	no	—
951	#41	—	2	8	no	—
952	#41	—	2	8	no	—
953	#41	—	2	8	no	—
954	#41	—	94	8	no	—
955	#41	—	94	8	no	—
956	#41	—	94	8	no	—
957	#41	—	94	8	no	—
958	#41	—	188	32	no	—
959	C₂×Q₈	—	2	4	no	—
960	C₂×Q₈	—	47	2	no	—
961	C₂×Q₈	—	47	2	no	—
962	C₂×Q₈	—	47	16	no	—
963	C₂×Q₈	—	94	4	no	—
964	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
965	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
966	C₂×D₄	—	2	8	no	—
967	C₂×D₄	—	2	4	no	—
968	C₂×D₄	—	47	4	no	—
969	C₂×D₄	—	47	8	no	—
970	C₂×D₄	—	47	4	no	—
971	C₂×D₄	—	47	8	no	—
972	C₂×D₄	—	47	16	no	—
973	C₂×D₄	—	47	8	no	—
974	C₂×D₄	—	47	2	no	—
975	C₂×D₄	—	47	2	no	—
976	C₂×D₄	—	47	8	no	—
977	C₂×D₄	—	94	8	no	—
978	C₂×D₄	—	94	4	no	—
979	C₂×D₄	—	188	8	no	—
980	C₂×D₄	—	188	8	no	—
981	C₂×D₄	C₂³×D₄₇	1	4	yes	—
982	C₂×D₄	C₂³×D₄₇	1	4	yes	—
983	C₂×D₄	C₂³×D₄₇	1	2	yes	—
984	C₂×D₄	C₂³×D₄₇	1	2	yes	—
985	C₂²×C₄	—	2	8	no	—
986	C₂²×C₄	—	47	1	no	—
987	C₂²×C₄	—	47	2	no	—
988	C₂²×C₄	—	47	2	no	—
989	C₂²×C₄	—	47	2	no	—
990	C₂²×C₄	—	47	1	no	—
991	C₂²×C₄	—	47	4	no	—
992	C₂²×C₄	—	47	4	no	—
993	C₂²×C₄	—	47	2	no	—
994	C₂²×C₄	—	47	8	no	—
995	C₂²×C₄	—	47	2	no	—
996	C₂²×C₄	—	47	2	no	—
997	C₂²×C₄	—	47	4	no	—
998	C₂²×C₄	—	47	2	no	—
999	C₂²×C₄	—	47	2	no	—
1000	C₂²×C₄	—	47	2	no	—
1001	C₂²×C₄	—	47	2	no	—
1002	C₂²×C₄	—	47	4	no	—
1003	C₂²×C₄	—	47	2	no	—
1004	C₂²×C₄	—	47	8	no	—
1005	C₂²×C₄	—	47	16	no	—
1006	C₂²×C₄	—	94	4	no	—
1007	C₂²×C₄	—	94	8	no	—
1008	C₂²×C₄	—	94	8	no	—
1009	C₂²×C₄	—	94	8	no	—
1010	C₂²×C₄	—	94	8	no	—
1011	C₂²×C₄	—	94	4	no	—
1012	C₂²×C₄	—	94	4	no	—
1013	C₂²×C₄	—	94	4	no	—
1014	C₂²×C₄	—	94	4	no	—
1015	C₂²×C₄	—	94	8	no	—
1016	C₂²×C₄	—	188	8	no	—
1017	C₂²×C₄	#10625350	1	8	yes	complemented
1018	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1019	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1020	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1021	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1022	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1023	C₂²×C₄	C₂³×D₄₇	1	16	yes	—
1024	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1029	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1030	C₄⋊C₄	—	47	8	no	—
1031	C₄⋊C₄	—	47	8	no	—
1032	C₄⋊C₄	—	47	8	no	—
1033	C₄⋊C₄	—	47	16	no	—
1034	C₄⋊C₄	—	47	8	no	—
1035	C₄⋊C₄	—	47	16	no	—
1036	C₄⋊C₄	—	47	16	no	—
1037	C₄⋊C₄	—	47	16	no	—
1038	C₄⋊C₄	—	47	4	no	—
1039	C₄⋊C₄	—	47	4	no	—
1040	C₄⋊C₄	—	47	4	no	—
1041	C₄⋊C₄	—	47	4	no	—
1042	C₄⋊C₄	—	47	8	no	—
1043	C₄⋊C₄	—	47	8	no	—
1044	C₄⋊C₄	—	47	16	no	—
1045	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1046	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1047	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1048	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1049	C₄⋊C₄	C₂³×D₄₇	1	16	yes	—
1050	C₂²⋊C₄	—	47	4	no	—
1051	C₂²⋊C₄	—	47	4	no	—
1052	C₂²⋊C₄	—	47	4	no	—
1053	C₂²⋊C₄	—	47	4	no	—
1054	C₂²⋊C₄	—	47	8	no	—
1055	C₂²⋊C₄	—	47	8	no	—
1056	C₂²⋊C₄	—	47	16	no	—
1057	C₂²⋊C₄	—	47	8	no	—
1058	C₂²⋊C₄	—	47	8	no	—
1059	C₂²⋊C₄	—	47	8	no	—
1060	C₂²⋊C₄	—	47	8	no	—
1061	C₂²⋊C₄	—	47	8	no	—
1062	C₂²⋊C₄	—	47	16	no	—
1063	C₂²⋊C₄	—	47	8	no	—
1064	C₂²⋊C₄	—	47	8	no	—
1065	C₂²⋊C₄	—	47	8	no	—
1066	C₂²⋊C₄	—	47	16	no	—
1067	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1068	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1069	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1070	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1071	C₂²⋊C₄	C₂³×D₄₇	1	16	yes	—
1072	C₄²	—	47	8	no	—
1073	C₄²	—	47	8	no	—
1074	C₄²	—	47	4	no	—
1075	C₄²	—	47	16	no	—
1076	C₄²	—	47	4	no	—
1077	C₄²	—	47	4	no	—
1078	C₄²	—	47	4	no	—
1079	C₄²	C₂³×D₄₇	1	4	yes	—
1080	C₄²	C₂³×D₄₇	1	4	yes	—
1081	C₄²	C₂³×D₄₇	1	16	yes	—
1082	C₄²	C₂³×D₄₇	1	4	yes	—
1083	C₄²	C₂³×D₄₇	1	4	yes	—
1084	C₂³	—	2	4	no	—
1085	C₂³	—	4	2	no	—
1086	C₂³	—	4	4	no	—
1087	C₂³	—	47	2	no	—
1088	C₂³	—	47	2	no	—
1089	C₂³	—	47	4	no	—
1090	C₂³	—	94	4	no	—
1091	C₂³	—	94	4	no	—
1092	C₂³	—	94	4	no	—
1093	C₂³	—	94	2	no	—
1094	C₂³	—	94	4	no	—
1095	C₂³	—	94	4	no	—
1096	C₂³	—	94	4	no	—
1097	C₂³	—	94	2	no	—
1098	C₂³	—	188	4	no	—
1099	C₂³	—	188	2	no	—
1100	C₂³	—	188	2	no	—
1101	C₂³	—	188	2	no	—
1102	C₂³	—	188	16	no	—
1103	C₂³	C₂×#10625350	1	4	yes	—
1104	C₂³	C₂⁴×D₄₇	1	4	yes	—
1105	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1106	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1107	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1108	Q₈	—	2	4	no	—
1109	Q₈	—	2	4	no	—
1110	Q₈	—	94	4	no	—
1111	Q₈	—	94	4	no	—
1112	Q₈	—	188	16	no	—
1113	D₄	—	2	8	no	—
1114	D₄	—	2	8	no	—
1115	D₄	—	2	4	no	—
1116	D₄	—	2	4	no	—
1117	D₄	—	94	16	no	—
1118	D₄	—	94	16	no	—
1119	D₄	—	94	8	no	—
1120	D₄	—	94	8	no	—
1121	D₄	—	94	4	no	—
1122	D₄	—	94	4	no	—
1123	D₄	—	188	8	no	—
1124	D₄	—	188	8	no	—
1125	D₄	—	188	16	no	—
1126	C₂×C₄	—	2	4	no	—
1127	C₂×C₄	—	2	8	no	—
1128	C₂×C₄	—	2	8	no	—
1129	C₂×C₄	—	4	4	no	—
1130	C₂×C₄	—	4	4	no	—
1131	C₂×C₄	—	4	16	no	—
1132	C₂×C₄	—	47	2	no	—
1133	C₂×C₄	—	47	4	no	—
1134	C₂×C₄	—	47	8	no	—
1135	C₂×C₄	—	47	8	no	—
1136	C₂×C₄	—	47	2	no	—
1137	C₂×C₄	—	94	16	no	—
1138	C₂×C₄	—	94	4	no	—
1139	C₂×C₄	—	94	4	no	—
1140	C₂×C₄	—	94	2	no	—
1141	C₂×C₄	—	94	2	no	—
1142	C₂×C₄	—	94	4	no	—
1143	C₂×C₄	—	94	4	no	—
1144	C₂×C₄	—	94	4	no	—
1145	C₂×C₄	—	94	4	no	—
1146	C₂×C₄	—	94	4	no	—
1147	C₂×C₄	—	94	4	no	—
1148	C₂×C₄	—	94	4	no	—
1149	C₂×C₄	—	94	4	no	—
1150	C₂×C₄	—	94	4	no	—
1151	C₂×C₄	—	94	8	no	—
1152	C₂×C₄	—	94	8	no	—
1153	C₂×C₄	—	188	8	no	—
1154	C₂×C₄	—	188	16	no	—
1155	C₂×C₄	—	188	4	no	—
1156	C₂×C₄	—	188	4	no	—
1157	C₂×C₄	C₂×#10625350	1	4	yes	—
1158	C₂×C₄	C₂×#10625350	1	4	yes	—
1159	C₂×C₄	C₂×#10625350	1	4	yes	—
1160	C₂×C₄	C₂×#10625350	1	4	yes	—
1161	C₂×C₄	C₂×#10625350	1	4	yes	—
1162	C₂×C₄	C₂×#10625350	1	4	yes	—
1163	C₂×C₄	C₂⁴×D₄₇	1	8	yes	—
1164	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1165	C₂×C₄	C₂⁴×D₄₇	1	8	yes	—
1166	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1167	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1168	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1169	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1170	C₂²	—	2	2	no	—
1171	C₂²	—	2	2	no	—
1172	C₂²	—	2	2	no	—
1173	C₂²	—	2	4	no	—
1174	C₂²	—	2	8	no	—
1175	C₂²	—	4	4	no	—
1176	C₂²	—	8	4	no	—
1177	C₂²	—	47	4	no	—
1178	C₂²	—	94	8	no	—
1179	C₂²	—	94	2	no	—
1180	C₂²	—	94	2	no	—
1181	C₂²	—	94	2	no	—
1182	C₂²	—	94	4	no	—
1183	C₂²	—	94	8	no	—
1184	C₂²	—	94	2	no	—
1185	C₂²	—	94	2	no	—
1186	C₂²	—	376	4	no	—
1187	C₂²	—	188	8	no	—
1188	C₂²	—	188	8	no	—
1189	C₂²	—	188	4	no	—
1190	C₂²	C₂²×#10625350	1	2	yes	—
1191	C₂²	C₂²×#10625350	1	2	yes	—
1192	C₂²	C₂²×#10625350	1	2	yes	—
1193	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1194	C₄	—	2	4	no	—
1195	C₄	—	2	8	no	—
1196	C₄	—	2	8	no	—
1197	C₄	—	94	2	no	—
1198	C₄	—	94	2	no	—
1199	C₄	—	94	4	no	—
1200	C₄	—	94	8	no	—
1201	C₄	—	94	8	no	—
1202	C₄	C₂²×#10625350	1	2	yes	—
1203	C₄	C₂²×#10625350	1	2	yes	—
1204	C₄	C₂²×#10625350	1	2	yes	—
1205	C₄	C₂²×#10625350	1	2	yes	—
1206	C₂	—	2	2	no	—
1207	C₂	—	2	2	no	—
1208	C₂	—	2	2	no	—
1209	C₂	—	4	4	no	—
1210	C₂	—	94	4	no	—
1211	C₂	—	188	4	no	—
1212	C₂	—	188	2	no	—
1213	C₂	C₂³×#10625350	1	1	yes	characteristic
1214	C₂	#585×D₄₇	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₄₇
commutator, socle, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₄₇×#3428	C₂
hypercenter	#3428	D₄₇
hypocenter	C₄₇	#62814
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #3428

Complements

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

N	H ≅ G/N	type
1. #20257141	C₂	semidirect
2. #20257130	C₂	semidirect
3. #20257124	C₂	semidirect
4. #20257113	C₂	semidirect
5. #20257101	C₂	semidirect
6. #20257091	C₂	semidirect
7. #20257081	C₂	semidirect
8. #20257073	C₂	semidirect
9. #20256952	C₂	semidirect
10. #20256942	C₂	semidirect
11. #20256793	C₂	semidirect
12. #20256773	C₂	semidirect
13. #20256717	C₂	semidirect
14. #20256681	C₂	semidirect
15. C₂×#15689635	C₂	semidirect
16. C₂×#15689630	C₂	semidirect
17. #20256589	C₂	semidirect
18. C₂×#117×D₄₇	C₂	semidirect
19. C₄₇×#3428	C₂	semidirect
22. #15689846	C₂²	semidirect
23. #15689841	C₂²	semidirect
24. #15689838	C₂²	semidirect
25. #15689836	C₂²	semidirect
26. #15689833	C₂²	semidirect
27. #15689828	C₂²	semidirect
28. #15689823	C₂²	semidirect
29. #15689823	C₂²	semidirect
30. #15689821	C₂²	semidirect
31. #15689817	C₂²	semidirect
32. #15689814	C₂²	semidirect
33. #15689814	C₂²	semidirect
34. #15689813	C₂²	semidirect
35. #15689812	C₂²	semidirect
36. #15689808	C₂²	semidirect
37. #15689806	C₂²	semidirect
38. #15689802	C₂²	semidirect
39. #15689802	C₂²	semidirect
40. #15689799	C₂²	semidirect
41. #15689797	C₂²	semidirect
42. #15689778	C₂²	semidirect
43. #15689774	C₂²	semidirect
44. #15689769	C₂²	semidirect
45. #15689763	C₂²	semidirect
46. #15689754	C₂²	semidirect
47. #15689751	C₂²	semidirect
48. #15689751	C₂²	semidirect
50. #15689745	C₂²	semidirect
51. #15689738	C₂²	semidirect
52. #15689731	C₂²	semidirect
53. #15689724	C₂²	semidirect
54. #15689715	C₂²	semidirect
55. #15689706	C₂²	semidirect
56. #15689701	C₂²	semidirect
57. #15689697	C₂²	semidirect
58. #15689694	C₂²	semidirect
59. #15689690	C₂²	semidirect
60. #15689687	C₂²	semidirect
62. #15689680	C₂²	semidirect
63. #15689677	C₂²	semidirect
64. #15689676	C₂²	semidirect
65. #15689676	C₂²	semidirect
66. #15689670	C₂²	semidirect
67. #15689669	C₂²	semidirect
68. #15689660	C₂²	semidirect
69. #15689657	C₂²	semidirect
70. #15689655	C₂²	semidirect
71. #15689653	C₂²	semidirect
72. #15689651	C₂²	semidirect
73. #15689651	C₂²	semidirect
76. #15689635	C₂²	semidirect
77. #15689635	C₂²	semidirect
78. #15689635	C₂²	semidirect
79. #15689635	C₂²	semidirect
80. #15689634	C₂²	semidirect
81. #15689632	C₂²	semidirect
84. #15689630	C₂²	semidirect
85. #15689630	C₂²	semidirect
86. #15689630	C₂²	semidirect
87. #15689630	C₂²	semidirect
88. #15689630	C₂²	semidirect
91. C₂×#13094004	C₂²	semidirect
92. C₂×#13094000	C₂²	semidirect
93. C₂×#13093999	C₂²	semidirect
94. C₂×#13093995	C₂²	semidirect
97. #15689604	C₂²	semidirect
98. #15689603	C₂²	semidirect
99. #15689600	C₂²	semidirect
100. #15689597	C₂²	semidirect
102. C₄×#10625350	C₂²	semidirect
103. C₄×#10625350	C₂²	semidirect
104. #15689591	C₂²	semidirect
105. C₂×C₄×D₁₈₈	C₂²	semidirect
106. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
109. C₂×#13093982	C₂²	semidirect
110. C₂×#13093981	C₂²	semidirect
112. #117×D₄₇	C₂²	semidirect
113. #117×D₄₇	C₂²	semidirect
114. #117×D₄₇	C₂²	semidirect
115. #117×D₄₇	C₂²	semidirect
116. #117×D₄₇	C₂²	semidirect
117. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
119. C₂×C₄²×D₄₇	C₂²	semidirect
121. C₄₇×#520	C₂²	semidirect
122. C₄₇×#520	C₂²	semidirect
123. C₄₇×#519	C₂²	semidirect
125. C₄₇×#518	C₂²	semidirect
126. C₄×#41×C₄₇	C₂²	semidirect
127. C₄×#41×C₄₇	C₂²	semidirect
130. C₂×#117×C₄₇	C₂²	semidirect
155. #13094024	C₂³	semidirect
156. #13094023	C₂³	semidirect
157. #13094023	C₂³	semidirect
158. #13094022	C₂³	semidirect
159. #13094020	C₂³	semidirect
161. #13094019	C₂³	semidirect
163. #13094018	C₂³	semidirect
164. #13094017	C₂³	semidirect
165. #13094017	C₂³	semidirect
166. #13094016	C₂³	semidirect
167. #13094016	C₂³	semidirect
168. #13094015	C₂³	semidirect
169. #13094015	C₂³	semidirect
170. #13094014	C₂³	semidirect
171. #13094014	C₂³	semidirect
172. #13094013	C₂³	semidirect
174. #13094011	C₂³	semidirect
176. #13094010	C₂³	semidirect
184. #13094007	C₂³	semidirect
186. #13094006	C₂³	semidirect
196. #13094003	C₂³	semidirect
197. #13094003	C₂³	semidirect
199. #13094002	C₂³	semidirect
206. #13094000	C₂³	semidirect
212. #13093998	C₂³	semidirect
220. #13093995	C₂³	semidirect
229. C₄×Dic₉₄	C₂³	semidirect
230. C₄×Dic₉₄	C₂³	semidirect
231. C₄×Dic₉₄	C₂³	semidirect
232. #13093989	C₂³	semidirect
238. C₄×D₁₈₈	C₂³	semidirect
239. #13093986	C₂³	semidirect
246. C₄×C₂²⋊D₄₇	C₂³	semidirect
247. C₄×C₂²⋊D₄₇	C₂³	semidirect
257. #13093983	C₂³	semidirect
262. #13093982	C₂³	semidirect
266. #13093981	C₂³	semidirect
267. #13093981	C₂³	semidirect
280. C₄⋊C₄×D₄₇	C₂³	semidirect
296. C₄²×D₄₇	C₂³	semidirect
307. C₄×Q₈×C₄₇	C₂³	semidirect
308. C₄×Q₈×C₄₇	C₂³	semidirect
311. C₄×D₄×C₄₇	C₂³	semidirect
312. C₄×D₄×C₄₇	C₂³	semidirect
322. #117×C₄₇	C₂³	semidirect
323. #117×C₄₇	C₂³	semidirect
326. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
332. C₂×C₄²×C₄₇	C₂³	semidirect
356. C₂²×C₄×C₄₇	#41	semidirect
616. #3428	D₄₇	semidirect
707. #520	C₂×D₄₇	semidirect
708. #520	C₂×D₄₇	semidirect
710. #519	C₂×D₄₇	semidirect
714. #518	C₂×D₄₇	semidirect
718. C₄×#41	C₂×D₄₇	semidirect
719. C₄×#41	C₂×D₄₇	semidirect
734. C₂×#117	C₂×D₄₇	semidirect
738. C₄₇	#62814	semidirect
851. C₄×Q₈	C₂²×D₄₇	semidirect
852. C₄×Q₈	C₂²×D₄₇	semidirect
871. C₄×D₄	C₂²×D₄₇	semidirect
872. C₄×D₄	C₂²×D₄₇	semidirect
904. #117	C₂²×D₄₇	semidirect
905. #117	C₂²×D₄₇	semidirect
918. C₂×C₄⋊C₄	C₂²×D₄₇	semidirect
940. C₂×C₄²	C₂²×D₄₇	semidirect
1017. C₂²×C₄	#10625350	semidirect

Maximal subgroups

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

subgroup	index
#20257141	2
#20257130	2
#20257124	2
#20257113	2
#20257101	2
#20257091	2
#20257081	2
#20257073	2
#20256952	2
#20256942	2
#20256793	2
#20256773	2
#20256717	2
#20256681	2
C₂×#15689635	2
C₂×#15689630	2
#20256589	2
C₂×#117×D₄₇	2
C₄₇×#3428	2
#62814	47