Subgroups — C₂×#20257559 #27123536

Order 12032.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257559	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689876	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#15689870	C₂	1	2	yes	maximal, complemented
4	C₂×#15689863	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15689857	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15689818	C₂	1	2	yes	maximal, complemented
7	C₂×#15689808	C₂	1	2	yes	maximal, complemented
8	C₂×#15689801	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#15689799	C₂	1	2	yes	maximal, complemented
10	C₂×#15689774	C₂	1	2	yes	maximal, complemented
11	C₂×#15689763	C₂	1	2	yes	maximal, complemented
12	C₂×#15689741	C₂	1	2	yes	maximal, complemented
13	C₂×#15689725	C₂	1	2	yes	maximal, complemented
14	C₂×#15689716	C₂	1	2	yes	maximal, complemented
15	C₂×#15689711	C₂	1	2	yes	maximal, complemented
16	C₂×#15689709	C₂	1	2	yes	maximal, complemented
17	C₂×#15689690	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#15689682	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#15689634	C₂	1	2	yes	maximal, complemented
20	C₂²×#123×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#10625350	C₂²	1	2	yes	—
22	C₂²×#10625350	C₂²	1	1	yes	characteristic, complemented
23	C₂³×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
24	#15689876	C₂²	1	16	yes	complemented
25	#15689870	C₂²	1	32	yes	complemented
26	#15689863	C₂²	1	16	yes	complemented
27	#15689857	C₂²	1	16	yes	complemented
28	#15689818	C₂²	1	32	yes	complemented
29	#15689808	C₂²	1	32	yes	complemented
30	#15689801	C₂²	1	16	yes	complemented
31	#15689799	C₂²	1	32	yes	complemented
32	#15689774	C₂²	1	32	yes	complemented
33	#15689763	C₂²	1	32	yes	complemented
34	#15689741	C₂²	1	32	yes	complemented
35	#15689725	C₂²	1	32	yes	complemented
36	#15689716	C₂²	1	32	yes	complemented
37	#15689711	C₂²	1	32	yes	complemented
38	#15689709	C₂²	1	32	yes	complemented
39	#15689690	C₂²	1	16	yes	complemented
40	#15689682	C₂²	1	16	yes	complemented
41	C₂×#13094023	C₂²	1	2	yes	complemented
42	C₂×#13094020	C₂²	1	1	yes	characteristic
43	C₂×#13094020	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13094019	C₂²	1	2	yes	complemented
45	C₂×#13094019	C₂²	1	2	yes	complemented
46	C₂×#13094017	C₂²	1	2	yes	complemented
47	C₂×#13094017	C₂²	1	2	yes	complemented
48	C₂×#13094017	C₂²	1	2	yes	complemented
49	C₂×#13094017	C₂²	1	2	yes	complemented
50	C₂×#13094015	C₂²	1	2	yes	complemented
51	C₂×#13094014	C₂²	1	2	yes	complemented
52	C₂×#13094014	C₂²	1	2	yes	complemented
53	C₂×#13094011	C₂²	1	1	yes	characteristic
54	C₂×#13094011	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13094010	C₂²	1	2	yes	complemented
56	C₂×#13094010	C₂²	1	2	yes	complemented
57	C₂×#13094010	C₂²	1	2	yes	complemented
58	C₂×#13094010	C₂²	1	2	yes	complemented
59	#15689634	C₂²	1	32	yes	complemented
60	C₂×#13094009	C₂²	1	2	yes	complemented
61	C₂×#13094009	C₂²	1	2	yes	complemented
62	C₂×#13094008	C₂²	1	2	yes	complemented
63	C₂×#13094007	C₂²	1	2	yes	—
64	C₂×#13094007	C₂²	1	2	yes	—
65	C₂×#13094007	C₂²	1	2	yes	complemented
66	C₂×#13094006	C₂²	1	2	yes	complemented
67	C₂×#13094006	C₂²	1	2	yes	complemented
68	C₂×#13094006	C₂²	1	2	yes	complemented
69	C₂×#13094006	C₂²	1	2	yes	complemented
70	C₂×#13094005	C₂²	1	1	yes	characteristic
71	C₂×#13094005	C₂²	1	1	yes	characteristic
72	C₂×#13094004	C₂²	1	2	yes	complemented
73	C₂×#13094003	C₂²	1	2	yes	complemented
74	C₂×#13094003	C₂²	1	2	yes	complemented
75	C₂×#13094003	C₂²	1	2	yes	complemented
76	C₂×#13094002	C₂²	1	2	yes	complemented
77	C₂×#13094002	C₂²	1	2	yes	complemented
78	C₂×#13094001	C₂²	1	2	yes	complemented
79	C₂×#13094001	C₂²	1	2	yes	complemented
80	C₂×#13093999	C₂²	1	2	yes	complemented
81	C₂×#13093998	C₂²	1	2	yes	—
82	C₂×#13093998	C₂²	1	2	yes	complemented
83	C₂×#13093998	C₂²	1	2	yes	complemented
84	C₂×#13093997	C₂²	1	2	yes	complemented
85	C₂×#13093997	C₂²	1	2	yes	complemented
86	C₂×#13093997	C₂²	1	2	yes	complemented
87	C₂×#13093997	C₂²	1	2	yes	complemented
88	C₂×#13093996	C₂²	1	2	yes	—
89	C₂×#13093996	C₂²	1	2	yes	—
90	C₂×#13093995	C₂²	1	2	yes	—
91	C₂×#13093995	C₂²	1	2	yes	complemented
92	C₂×#13093994	C₂²	1	2	yes	complemented
93	C₂×#13093993	C₂²	1	2	yes	—
94	C₂×#13093993	C₂²	1	2	yes	—
95	C₂×#13093993	C₂²	1	2	yes	complemented
96	C₂×#13093992	C₂²	1	1	yes	characteristic
97	C₂×#13093992	C₂²	1	1	yes	characteristic
98	C₂×#13093989	C₂²	1	2	yes	complemented
99	C₂×#13093986	C₂²	1	2	yes	complemented
100	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
101	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
102	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
103	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
104	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
105	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
106	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
107	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
108	C₂×#13093983	C₂²	1	2	yes	complemented
109	C₂×#13093983	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13093982	C₂²	1	2	yes	complemented
111	C₂×#13093980	C₂²	1	2	yes	complemented
112	C₂×C₄⋊C₄×D₄₇	C₂²	1	2	yes	complemented
113	C₂²×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
114	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
115	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
116	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
117	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
118	C₂×#123×C₄₇	C₂²	1	2	yes	—
119	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic
120	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic, complemented
121	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
122	C₂×#123×C₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₂×#123×C₄₇	C₂²	1	16	yes	complemented
124	C₂²×C₄⋊C₄×C₄₇	C₂²	1	2	yes	complemented
125	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	—
126	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
128	C₂×#10625350	—	4	8	no	—
129	C₂×#10625350	—	4	4	no	—
130	C₂×#10625350	C₂³	1	16	yes	—
131	C₂×#10625350	C₂³	1	8	yes	complemented
132	C₂²×Dic₉₄	C₂³	1	2	yes	—
133	C₂²×Dic₉₄	C₂³	1	2	yes	—
134	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
135	C₂²×D₁₈₈	C₂³	1	2	yes	—
136	C₂²×D₁₈₈	C₂³	1	2	yes	—
137	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
138	C₂²×C₂²⋊D₄₇	—	4	4	no	—
139	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
140	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
141	C₂²×C₂²⋊D₄₇	C₂³	1	8	yes	—
142	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
145	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
147	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
149	C₂³×Dic₄₇	C₂³	1	2	yes	—
150	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
151	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
152	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
153	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
154	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
155	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
156	#13094023	C₂³	1	16	yes	complemented
157	#13094020	C₂³	1	8	yes	—
158	#13094020	C₂³	1	8	yes	complemented
159	#13094019	C₂³	1	16	yes	complemented
160	#13094019	C₂³	1	16	yes	complemented
161	#13094017	C₂³	1	16	yes	complemented
162	#13094017	C₂³	1	16	yes	complemented
163	#13094017	C₂³	1	16	yes	complemented
164	#13094017	C₂³	1	16	yes	complemented
165	#13094015	C₂³	1	16	yes	complemented
166	#13094014	C₂³	1	16	yes	complemented
167	#13094014	C₂³	1	16	yes	complemented
168	#13094011	C₂³	1	8	yes	—
169	#13094011	C₂³	1	8	yes	complemented
170	#13094010	C₂³	1	16	yes	complemented
171	#13094010	C₂³	1	16	yes	complemented
172	#13094010	C₂³	1	16	yes	complemented
173	#13094010	C₂³	1	16	yes	complemented
174	#13094009	C₂³	1	16	yes	complemented
175	#13094009	C₂³	1	16	yes	complemented
176	#13094008	C₂³	1	16	yes	complemented
177	#13094007	C₂³	1	16	yes	—
178	#13094007	C₂³	1	16	yes	—
179	#13094007	C₂³	1	16	yes	complemented
180	#13094006	C₂³	1	16	yes	complemented
181	#13094006	C₂³	1	16	yes	complemented
182	#13094006	C₂³	1	16	yes	complemented
183	#13094006	C₂³	1	16	yes	complemented
184	#13094005	C₂³	1	8	yes	—
185	#13094005	C₂³	1	8	yes	—
186	#13094004	C₂³	1	16	yes	complemented
187	#13094003	C₂³	1	16	yes	complemented
188	#13094003	C₂³	1	16	yes	complemented
189	#13094003	C₂³	1	16	yes	complemented
190	#13094002	C₂³	1	16	yes	complemented
191	#13094002	C₂³	1	16	yes	complemented
192	#13094001	C₂³	1	16	yes	complemented
193	#13094001	C₂³	1	16	yes	complemented
194	#13093999	C₂³	1	16	yes	complemented
195	#13093998	C₂³	1	16	yes	—
196	#13093998	C₂³	1	16	yes	complemented
197	#13093998	C₂³	1	16	yes	complemented
198	#13093997	C₂³	1	16	yes	complemented
199	#13093997	C₂³	1	16	yes	complemented
200	#13093997	C₂³	1	16	yes	complemented
201	#13093997	C₂³	1	16	yes	complemented
202	#13093996	C₂³	1	16	yes	—
203	#13093996	C₂³	1	16	yes	—
204	#13093995	C₂³	1	16	yes	—
205	#13093995	C₂³	1	16	yes	complemented
206	#13093994	C₂³	1	16	yes	complemented
207	#13093993	C₂³	1	16	yes	—
208	#13093993	C₂³	1	16	yes	—
209	#13093993	C₂³	1	16	yes	complemented
210	#13093992	C₂³	1	8	yes	—
211	#13093992	C₂³	1	8	yes	—
212	#13093989	C₂³	1	16	yes	complemented
213	#13093986	C₂³	1	16	yes	complemented
214	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	—
215	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
216	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
217	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
218	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
219	C₄×C₂²⋊D₄₇	C₂³	1	16	yes	complemented
220	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
221	(C₂²⋊D₄₇)⋊C₄	C₂³	1	16	yes	complemented
222	#13093983	C₂³	1	16	yes	complemented
223	#13093983	C₂³	1	8	yes	complemented
224	#13093982	C₂³	1	16	yes	complemented
225	#13093980	C₂³	1	16	yes	complemented
226	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
227	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
228	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
229	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
230	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
231	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
232	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
233	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
234	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
235	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
236	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
237	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
238	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
239	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
240	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
241	C₄⋊C₄×D₄₇	C₂³	1	16	yes	complemented
242	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
243	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
244	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
245	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
248	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
249	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
250	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
251	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
252	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
253	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
254	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
255	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
256	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
258	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
259	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
260	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
261	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
262	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
263	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
264	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
265	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
266	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
268	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
270	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
271	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
272	C₂²×D₄×C₄₇	—	4	4	no	—
273	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
274	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
275	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
276	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
277	C₂²×D₄×C₄₇	C₂³	1	8	yes	—
278	C₂³×C₄×C₄₇	—	4	4	no	—
279	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
280	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
281	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
282	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
283	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
284	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
285	C₂³×C₄×C₄₇	C₂³	1	8	yes	complemented
286	#123×C₄₇	C₂³	1	8	yes	—
287	#123×C₄₇	C₂³	1	8	yes	—
288	#123×C₄₇	C₂³	1	16	yes	—
289	#123×C₄₇	C₂³	1	16	yes	complemented
290	#123×C₄₇	C₂³	1	8	yes	complemented
291	#123×C₄₇	C₂³	1	8	yes	complemented
292	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
293	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
294	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
295	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
296	C₂×C₄⋊C₄×C₄₇	C₂³	1	16	yes	complemented
297	C₂×C₂²⋊C₄×C₄₇	C₂³	1	16	yes	—
298	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
299	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
300	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
301	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
302	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
304	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	complemented
306	C₂⁴×C₄₇	—	2	4	no	—
307	C₂⁴×C₄₇	—	2	4	no	—
308	C₂⁴×C₄₇	—	4	4	no	—
309	C₂⁴×C₄₇	—	4	4	no	—
310	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
311	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
312	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
313	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
314	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
315	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
316	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
317	C₂³×D₄₇	—	4	2	no	—
318	C₂³×D₄₇	—	4	4	no	—
319	C₂³×D₄₇	C₂⁴	1	2	yes	—
320	C₂³×D₄₇	C₂⁴	1	2	yes	—
321	C₂³×D₄₇	C₂⁴	1	4	yes	—
322	C₂×D₄×C₄₇	—	4	2	no	—
323	C₂×D₄×C₄₇	—	4	2	no	—
324	C₂×D₄×C₄₇	—	4	2	no	—
325	C₂×D₄×C₄₇	—	4	2	no	—
326	C₂×D₄×C₄₇	—	4	16	no	—
327	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
328	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
329	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
330	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
331	C₂²×C₄×C₄₇	—	2	8	no	—
332	C₂²×C₄×C₄₇	—	2	4	no	—
333	C₂²×C₄×C₄₇	—	4	2	no	—
334	C₂²×C₄×C₄₇	—	4	4	no	—
335	C₂²×C₄×C₄₇	—	4	2	no	—
336	C₂²×C₄×C₄₇	—	4	16	no	—
337	C₂²×C₄×C₄₇	—	4	4	no	—
338	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
343	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
346	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
347	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
348	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
349	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
350	C₂×C₂²⋊D₄₇	—	2	8	no	—
351	C₂×C₂²⋊D₄₇	—	2	8	no	—
352	C₂×C₂²⋊D₄₇	—	4	4	no	—
353	C₂×C₂²⋊D₄₇	—	4	4	no	—
354	C₂×C₂²⋊D₄₇	—	4	4	no	—
355	C₂×C₂²⋊D₄₇	—	4	4	no	—
356	C₂×C₂²⋊D₄₇	—	4	4	no	—
357	C₂×C₂²⋊D₄₇	—	4	4	no	—
358	C₂×C₂²⋊D₄₇	—	4	4	no	—
359	C₂×C₂²⋊D₄₇	—	4	16	no	—
360	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
361	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
362	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
363	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
364	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
365	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
366	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
367	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
368	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
369	C₂²×Dic₄₇	—	4	4	no	—
370	C₂²×Dic₄₇	—	4	2	no	—
371	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
372	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
373	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
374	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
375	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
376	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
377	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
378	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
379	#10625350	—	4	32	no	—
380	#10625350	—	4	16	no	—
381	C₂×D₁₈₈	—	4	4	no	—
382	C₂×D₁₈₈	—	4	4	no	—
383	C₂×D₁₈₈	—	4	2	no	—
384	C₂×D₁₈₈	C₂⁴	1	8	yes	—
385	C₂×D₁₈₈	C₂⁴	1	8	yes	—
386	C₂×D₁₈₈	C₂⁴	1	4	yes	—
387	C₂×C₄×D₄₇	—	4	4	no	—
388	C₂×C₄×D₄₇	—	4	4	no	—
389	C₂×C₄×D₄₇	—	4	4	no	—
390	C₂×C₄×D₄₇	—	4	4	no	—
391	C₂×C₄×D₄₇	—	4	4	no	—
392	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
393	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
394	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
395	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
396	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
397	C₂×Dic₉₄	—	4	4	no	—
398	C₂×Dic₉₄	—	4	2	no	—
399	C₂×Dic₉₄	—	4	4	no	—
400	C₂×Dic₉₄	C₂⁴	1	8	yes	—
401	C₂×Dic₉₄	C₂⁴	1	8	yes	—
402	C₂×Dic₉₄	C₂⁴	1	4	yes	—
403	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
404	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
405	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
406	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
407	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
408	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
409	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
410	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
411	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
412	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
413	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
414	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
415	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
416	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
417	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
418	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
419	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
420	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
421	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
422	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
423	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
424	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
425	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
426	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
427	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
428	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
429	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
430	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
431	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
432	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
433	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
434	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
435	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
436	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
437	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
438	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
439	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
440	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
441	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
442	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
443	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
444	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
445	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
446	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
447	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
448	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
449	C₄×Dic₄₇	C₂⁴	1	8	yes	—
450	C₄×Dic₄₇	C₂⁴	1	8	yes	—
451	C₄×Dic₄₇	C₂⁴	1	4	yes	—
452	C₄×Dic₄₇	C₂⁴	1	8	yes	—
453	C₄×Dic₄₇	C₂⁴	1	4	yes	—
454	C₄×Dic₄₇	C₂⁴	1	8	yes	—
455	C₂³×C₄₇	—	2	4	no	—
456	C₂³×C₄₇	—	2	2	no	—
457	C₂³×C₄₇	—	2	2	no	—
458	C₂³×C₄₇	—	2	8	no	—
459	C₂³×C₄₇	—	2	2	no	—
460	C₂³×C₄₇	—	2	2	no	—
461	C₂³×C₄₇	—	2	4	no	—
462	C₂³×C₄₇	—	2	4	no	—
463	C₂³×C₄₇	—	2	4	no	—
464	C₂³×C₄₇	—	2	4	no	—
465	C₂³×C₄₇	—	2	8	no	—
466	C₂³×C₄₇	—	4	8	no	—
467	C₂³×C₄₇	—	4	8	no	—
468	C₂³×C₄₇	—	4	16	no	—
469	C₂³×C₄₇	—	8	8	no	—
470	C₂³×C₄₇	H(5,𝔽₂)	1	4	yes	—
471	C₂³×C₄₇	C₂⁵	1	2	yes	—
472	C₂³×C₄₇	C₂⁵	1	2	yes	—
473	C₂³×C₄₇	C₂⁵	1	2	yes	—
474	C₂³×C₄₇	C₂⁵	1	2	yes	—
475	C₂³×C₄₇	C₂⁵	1	2	yes	—
476	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
477	C₂²×D₄₇	—	2	4	no	—
478	C₂²×D₄₇	—	2	4	no	—
479	C₂²×D₄₇	—	2	4	no	—
480	C₂²×D₄₇	—	2	4	no	—
481	C₂²×D₄₇	—	2	4	no	—
482	C₂²×D₄₇	—	2	4	no	—
483	C₂²×D₄₇	—	4	4	no	—
484	C₂²×D₄₇	—	4	8	no	—
485	C₂²×D₄₇	—	8	8	no	—
486	C₂²×D₄₇	C₂⁵	1	4	yes	—
487	C₂²×D₄₇	C₂⁵	1	4	yes	—
488	D₄×C₄₇	—	4	4	no	—
489	D₄×C₄₇	—	4	4	no	—
490	D₄×C₄₇	—	4	4	no	—
491	D₄×C₄₇	—	4	4	no	—
492	C₂×C₄×C₄₇	—	2	4	no	—
493	C₂×C₄×C₄₇	—	2	2	no	—
494	C₂×C₄×C₄₇	—	2	4	no	—
495	C₂×C₄×C₄₇	—	2	2	no	—
496	C₂×C₄×C₄₇	—	2	16	no	—
497	C₂×C₄×C₄₇	—	2	8	no	—
498	C₂×C₄×C₄₇	—	2	4	no	—
499	C₂×C₄×C₄₇	—	2	4	no	—
500	C₂×C₄×C₄₇	—	4	4	no	—
501	C₂×C₄×C₄₇	—	4	8	no	—
502	C₂×C₄×C₄₇	—	4	4	no	—
503	C₂×C₄×C₄₇	—	4	8	no	—
504	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
505	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
506	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
507	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
508	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
509	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
510	C₂²⋊D₄₇	—	2	16	no	—
511	C₂²⋊D₄₇	—	2	16	no	—
512	C₂²⋊D₄₇	—	4	8	no	—
513	C₂²⋊D₄₇	—	4	8	no	—
514	C₂²⋊D₄₇	—	4	8	no	—
515	C₂²⋊D₄₇	—	4	8	no	—
516	C₂²⋊D₄₇	—	4	8	no	—
517	C₂²⋊D₄₇	—	4	8	no	—
518	C₂²⋊D₄₇	—	4	8	no	—
519	C₂×Dic₄₇	—	2	4	no	—
520	C₂×Dic₄₇	—	2	4	no	—
521	C₂×Dic₄₇	—	2	4	no	—
522	C₂×Dic₄₇	—	2	4	no	—
523	C₂×Dic₄₇	—	2	4	no	—
524	C₂×Dic₄₇	—	2	4	no	—
525	C₂×Dic₄₇	—	4	8	no	—
526	C₂×Dic₄₇	—	4	4	no	—
527	C₂×Dic₄₇	C₂⁵	1	4	yes	—
528	C₂×Dic₄₇	C₂⁵	1	4	yes	—
529	C₂×Dic₄₇	C₂⁵	1	4	yes	—
530	C₂×Dic₄₇	C₂⁵	1	4	yes	—
531	C₂×Dic₄₇	C₂⁵	1	4	yes	—
532	C₂×Dic₄₇	C₂⁵	1	4	yes	—
533	D₁₈₈	—	4	8	no	—
534	D₁₈₈	—	4	8	no	—
535	D₁₈₈	—	4	4	no	—
536	C₄×D₄₇	—	4	8	no	—
537	C₄×D₄₇	—	4	8	no	—
538	C₄×D₄₇	—	4	8	no	—
539	C₄×D₄₇	—	4	8	no	—
540	C₄×D₄₇	—	4	8	no	—
541	Dic₉₄	—	4	8	no	—
542	Dic₉₄	—	4	4	no	—
543	Dic₉₄	—	4	8	no	—
544	C₂×#3533	—	47	1	no	maximal, Sylow
545	C₂²×C₄₇	—	2	4	no	—
546	C₂²×C₄₇	—	2	8	no	—
547	C₂²×C₄₇	—	2	2	no	—
548	C₂²×C₄₇	—	2	2	no	—
549	C₂²×C₄₇	—	2	2	no	—
550	C₂²×C₄₇	—	2	2	no	—
551	C₂²×C₄₇	—	2	4	no	—
552	C₂²×C₄₇	—	2	4	no	—
553	C₂²×C₄₇	—	2	4	no	—
554	C₂²×C₄₇	—	2	4	no	—
555	C₂²×C₄₇	—	4	16	no	—
556	C₂²×C₄₇	—	4	4	no	—
557	C₂²×C₄₇	—	4	4	no	—
558	C₂²×C₄₇	—	4	4	no	—
559	C₂²×C₄₇	—	4	4	no	—
560	C₂²×C₄₇	—	8	8	no	—
561	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	4	yes	—
562	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
563	C₂²×C₄₇	#585	1	4	yes	—
564	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
565	C₂×D₄₇	—	2	4	no	—
566	C₂×D₄₇	—	2	4	no	—
567	C₂×D₄₇	—	2	4	no	—
568	C₂×D₄₇	—	2	4	no	—
569	C₂×D₄₇	—	2	4	no	—
570	C₂×D₄₇	—	2	4	no	—
571	C₂×D₄₇	—	4	8	no	—
572	C₂×D₄₇	—	4	8	no	—
573	C₂×D₄₇	—	8	8	no	—
574	C₄×C₄₇	—	2	4	no	—
575	C₄×C₄₇	—	2	2	no	—
576	C₄×C₄₇	—	2	4	no	—
577	C₄×C₄₇	—	2	2	no	—
578	C₄×C₄₇	—	2	4	no	—
579	C₄×C₄₇	—	2	4	no	—
580	Dic₄₇	—	2	4	no	—
581	Dic₄₇	—	2	4	no	—
582	Dic₄₇	—	2	4	no	—
583	Dic₄₇	—	2	4	no	—
584	Dic₄₇	—	2	4	no	—
585	Dic₄₇	—	2	4	no	—
586	#3533	—	47	32	no	—
587	C₂×#563	—	47	1	no	—
588	C₂×#562	—	47	2	no	—
589	C₂×#560	—	47	1	no	—
590	C₂×#559	—	47	1	no	—
591	C₂×#553	—	47	2	no	—
592	C₂×#552	—	47	2	no	—
593	C₂×#551	—	47	1	no	—
594	C₂×#551	—	47	2	no	—
595	C₂×#547	—	47	2	no	—
596	C₂×#546	—	47	2	no	—
597	C₂×#542	—	47	2	no	—
598	C₂×#540	—	47	2	no	—
599	C₂×#539	—	47	2	no	—
600	C₂×#538	—	47	2	no	—
601	C₂×#538	—	47	2	no	—
602	C₂×#535	—	47	1	no	—
603	C₂×#534	—	47	1	no	—
604	C₂×#525	—	47	2	no	—
605	C₂²×#123	D₄₇	1	1	yes	characteristic, complemented
606	C₂×C₄₇	—	2	4	no	—
607	C₂×C₄₇	—	4	2	no	—
608	C₂×C₄₇	—	4	2	no	—
609	C₂×C₄₇	—	4	2	no	—
610	C₂×C₄₇	—	4	2	no	—
611	C₂×C₄₇	#3533	1	4	yes	complemented
612	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
613	C₂×C₄₇	C₂×#585	1	2	yes	—
614	D₄₇	—	4	4	no	—
615	D₄₇	—	4	4	no	—
616	C₂²×#41	—	47	2	no	—
617	C₂²×#41	—	47	1	no	—
618	C₂³×D₄	—	47	1	no	—
619	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic
620	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic, complemented
621	#563	—	47	16	no	—
622	#562	—	47	32	no	—
623	#560	—	47	16	no	—
624	#559	—	47	16	no	—
625	#553	—	47	32	no	—
626	#552	—	47	32	no	—
627	#551	—	47	16	no	—
628	#551	—	47	32	no	—
629	#547	—	47	32	no	—
630	#546	—	47	32	no	—
631	#542	—	47	32	no	—
632	#540	—	47	32	no	—
633	#539	—	47	32	no	—
634	#538	—	47	32	no	—
635	#538	—	47	32	no	—
636	#535	—	47	16	no	—
637	#534	—	47	16	no	—
638	C₂×C₄⋊Q₈	—	47	2	no	—
639	C₂×#127	—	47	1	no	—
640	C₂×#127	—	47	1	no	—
641	C₂×#126	—	47	2	no	—
642	C₂×#126	—	47	2	no	—
643	C₂×#126	—	47	2	no	—
644	C₂×#126	—	47	2	no	—
645	C₂×#126	—	47	2	no	—
646	C₂×#126	—	47	2	no	—
647	C₂×#125	—	47	2	no	—
648	C₂×#125	—	47	2	no	—
649	C₂×#125	—	47	2	no	—
650	C₂×#124	—	47	1	no	—
651	C₂×#124	—	47	1	no	—
652	C₂×#124	—	47	2	no	—
653	C₂×#124	—	47	2	no	—
654	C₂×#124	—	47	2	no	—
655	C₂×#124	—	47	2	no	—
656	#525	—	47	32	no	—
657	C₂×#123	—	47	1	no	—
658	C₂×#123	—	47	1	no	—
659	C₂×#123	—	47	2	no	—
660	C₂×#123	—	47	2	no	—
661	C₂×#123	—	47	2	no	—
662	C₂×#123	—	47	2	no	—
663	C₂×#123	—	47	2	no	—
664	C₂×#123	—	47	2	no	—
665	C₂×#123	—	47	2	no	—
666	C₂×#123	—	47	2	no	—
667	C₂×#123	—	47	2	no	—
668	C₂×#123	—	47	2	no	—
669	C₂×#123	C₂×D₄₇	1	2	yes	—
670	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
671	C₂×#123	C₂×D₄₇	1	1	yes	characteristic
672	C₂×#123	C₂×D₄₇	1	2	yes	complemented
673	C₂×#123	C₂×D₄₇	1	1	yes	characteristic, complemented
674	C₂×#123	C₂×D₄₇	1	1	yes	characteristic, complemented
675	C₂×#123	C₂×D₄₇	1	16	yes	complemented
676	C₂×C₂²⋊Q₈	—	47	2	no	—
677	C₂×C₂²⋊Q₈	—	47	2	no	—
678	C₂×C₂²⋊Q₈	—	47	2	no	—
679	C₂×C₂²⋊Q₈	—	47	2	no	—
680	C₂×C₂²⋊Q₈	—	47	2	no	—
681	C₂×C₂²⋊Q₈	—	47	2	no	—
682	C₂×C₂²⋊Q₈	—	47	2	no	—
683	C₂×C₂²⋊Q₈	—	47	2	no	—
684	C₂×#121	—	47	2	no	—
685	C₂×#121	—	47	2	no	—
686	C₂×#121	—	47	2	no	—
687	C₂×#121	—	47	2	no	—
688	C₂×#121	—	47	2	no	—
689	C₂×#121	—	47	2	no	—
690	C₂×#121	—	47	2	no	—
691	C₂×#121	—	47	2	no	—
692	C₂×#121	—	47	2	no	—
693	C₂×#121	—	47	2	no	—
694	C₂×#121	—	47	2	no	—
695	C₂×#121	—	47	2	no	—
696	C₂×#120	—	47	2	no	—
697	C₂×#120	—	47	2	no	—
698	C₂×#120	—	47	2	no	—
699	C₂×#120	—	47	1	no	—
700	C₂×#120	—	47	1	no	—
701	C₂×#120	—	47	2	no	—
702	C₂×C₄×Q₈	—	47	2	no	—
703	C₂×C₄×D₄	—	47	2	no	—
704	C₂×C₄×D₄	—	47	2	no	—
705	C₂×C₄×D₄	—	47	2	no	—
706	C₂×C₄×D₄	—	47	2	no	—
707	C₂×C₄×D₄	—	47	2	no	—
708	C₂×C₄×D₄	—	47	2	no	—
709	C₂×C₄×D₄	—	47	2	no	—
710	C₂×C₄×D₄	—	47	2	no	—
711	C₂×C₄×D₄	—	47	2	no	—
712	C₂×#117	—	47	2	no	—
713	C₂×#117	—	47	1	no	—
714	C₂×#117	—	47	2	no	—
715	C₂×#117	—	47	2	no	—
716	C₂²×C₄⋊C₄	—	47	2	no	—
717	C₂²×C₄⋊C₄	C₂×D₄₇	1	2	yes	complemented
718	C₂²×C₂²⋊C₄	—	47	1	no	—
719	C₂²×C₂²⋊C₄	—	47	2	no	—
720	C₂²×C₂²⋊C₄	C₂×D₄₇	1	2	yes	—
721	C₂²×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic, complemented
722	C₄₇	C₂×#3533	1	1	yes	characteristic, complemented, Sylow
723	C₂⁵	—	47	1	no	—
724	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
725	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
726	C₂×#41	—	47	16	no	—
727	C₂×#41	—	47	8	no	—
728	C₂×#41	—	188	8	no	—
729	C₂×#41	—	188	4	no	—
730	C₂²×Q₈	—	47	2	no	—
731	C₂²×Q₈	—	47	2	no	—
732	C₂²×Q₈	—	47	1	no	—
733	C₂²×D₄	—	4	4	no	—
734	C₂²×D₄	—	47	2	no	—
735	C₂²×D₄	—	47	2	no	—
736	C₂²×D₄	—	47	2	no	—
737	C₂²×D₄	—	47	2	no	—
738	C₂²×D₄	—	47	2	no	—
739	C₂²×D₄	—	47	2	no	—
740	C₂²×D₄	—	47	2	no	—
741	C₂²×D₄	—	47	2	no	—
742	C₂²×D₄	—	47	2	no	—
743	C₂²×D₄	—	47	8	no	—
744	C₂²×D₄	—	47	2	no	—
745	C₂²×D₄	—	47	2	no	—
746	C₂²×D₄	—	47	1	no	—
747	C₂²×D₄	—	188	4	no	—
748	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
749	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
750	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
751	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
752	C₂²×D₄	C₂²×D₄₇	1	8	yes	—
753	C₂³×C₄	—	4	4	no	—
754	C₂³×C₄	—	47	2	no	—
755	C₂³×C₄	—	47	1	no	—
756	C₂³×C₄	—	47	2	no	—
757	C₂³×C₄	—	47	2	no	—
758	C₂³×C₄	—	47	2	no	—
759	C₂³×C₄	—	47	2	no	—
760	C₂³×C₄	—	47	2	no	—
761	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
762	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
763	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
764	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
765	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
766	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
767	C₂³×C₄	C₂²×D₄₇	1	8	yes	complemented
768	C₄⋊Q₈	—	47	16	no	—
769	#127	—	47	8	no	—
770	#127	—	47	8	no	—
771	#126	—	47	16	no	—
772	#126	—	47	16	no	—
773	#126	—	47	16	no	—
774	#126	—	47	16	no	—
775	#126	—	47	16	no	—
776	#126	—	47	16	no	—
777	#125	—	47	16	no	—
778	#125	—	47	16	no	—
779	#125	—	47	16	no	—
780	#124	—	47	8	no	—
781	#124	—	47	8	no	—
782	#124	—	47	16	no	—
783	#124	—	47	16	no	—
784	#124	—	47	16	no	—
785	#124	—	47	16	no	—
786	#123	—	47	8	no	—
787	#123	—	47	8	no	—
788	#123	—	47	16	no	—
789	#123	—	47	16	no	—
790	#123	—	47	16	no	—
791	#123	—	47	16	no	—
792	#123	—	47	16	no	—
793	#123	—	47	16	no	—
794	#123	—	47	16	no	—
795	#123	—	47	16	no	—
796	#123	—	47	16	no	—
797	#123	—	47	16	no	—
798	#123	C₂²×D₄₇	1	16	yes	—
799	#123	C₂²×D₄₇	1	8	yes	—
800	#123	C₂²×D₄₇	1	8	yes	—
801	#123	C₂²×D₄₇	1	16	yes	complemented
802	#123	C₂²×D₄₇	1	8	yes	complemented
803	#123	C₂²×D₄₇	1	8	yes	complemented
804	C₂²⋊Q₈	—	47	16	no	—
805	C₂²⋊Q₈	—	47	16	no	—
806	C₂²⋊Q₈	—	47	16	no	—
807	C₂²⋊Q₈	—	47	16	no	—
808	C₂²⋊Q₈	—	47	16	no	—
809	C₂²⋊Q₈	—	47	16	no	—
810	C₂²⋊Q₈	—	47	16	no	—
811	C₂²⋊Q₈	—	47	16	no	—
812	#121	—	47	16	no	—
813	#121	—	47	16	no	—
814	#121	—	47	16	no	—
815	#121	—	47	16	no	—
816	#121	—	47	16	no	—
817	#121	—	47	16	no	—
818	#121	—	47	16	no	—
819	#121	—	47	16	no	—
820	#121	—	47	16	no	—
821	#121	—	47	16	no	—
822	#121	—	47	16	no	—
823	#121	—	47	16	no	—
824	#120	—	47	16	no	—
825	#120	—	47	16	no	—
826	#120	—	47	16	no	—
827	#120	—	47	8	no	—
828	#120	—	47	8	no	—
829	#120	—	47	16	no	—
830	C₄×Q₈	—	47	16	no	—
831	C₄×D₄	—	47	16	no	—
832	C₄×D₄	—	47	16	no	—
833	C₄×D₄	—	47	16	no	—
834	C₄×D₄	—	47	16	no	—
835	C₄×D₄	—	47	16	no	—
836	C₄×D₄	—	47	16	no	—
837	C₄×D₄	—	47	16	no	—
838	C₄×D₄	—	47	16	no	—
839	C₄×D₄	—	47	16	no	—
840	#117	—	47	16	no	—
841	#117	—	47	8	no	—
842	#117	—	47	16	no	—
843	#117	—	47	16	no	—
844	C₂×C₄⋊C₄	—	47	2	no	—
845	C₂×C₄⋊C₄	—	47	2	no	—
846	C₂×C₄⋊C₄	—	47	2	no	—
847	C₂×C₄⋊C₄	—	47	2	no	—
848	C₂×C₄⋊C₄	—	47	2	no	—
849	C₂×C₄⋊C₄	—	47	2	no	—
850	C₂×C₄⋊C₄	—	47	2	no	—
851	C₂×C₄⋊C₄	—	47	2	no	—
852	C₂×C₄⋊C₄	—	47	2	no	—
853	C₂×C₄⋊C₄	—	47	2	no	—
854	C₂×C₄⋊C₄	—	47	2	no	—
855	C₂×C₄⋊C₄	—	47	2	no	—
856	C₂×C₄⋊C₄	—	47	2	no	—
857	C₂×C₄⋊C₄	—	47	2	no	—
858	C₂×C₄⋊C₄	—	47	2	no	—
859	C₂×C₄⋊C₄	—	47	16	no	—
860	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
861	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
862	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
863	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
864	C₂×C₄⋊C₄	C₂²×D₄₇	1	16	yes	complemented
865	C₂×C₂²⋊C₄	—	47	2	no	—
866	C₂×C₂²⋊C₄	—	47	2	no	—
867	C₂×C₂²⋊C₄	—	47	1	no	—
868	C₂×C₂²⋊C₄	—	47	1	no	—
869	C₂×C₂²⋊C₄	—	47	8	no	—
870	C₂×C₂²⋊C₄	—	47	2	no	—
871	C₂×C₂²⋊C₄	—	47	2	no	—
872	C₂×C₂²⋊C₄	—	47	2	no	—
873	C₂×C₂²⋊C₄	—	47	2	no	—
874	C₂×C₂²⋊C₄	—	47	2	no	—
875	C₂×C₂²⋊C₄	—	47	2	no	—
876	C₂×C₂²⋊C₄	—	47	2	no	—
877	C₂×C₂²⋊C₄	—	47	2	no	—
878	C₂×C₂²⋊C₄	—	47	2	no	—
879	C₂×C₂²⋊C₄	—	47	2	no	—
880	C₂×C₂²⋊C₄	—	47	2	no	—
881	C₂×C₂²⋊C₄	—	47	2	no	—
882	C₂×C₂²⋊C₄	—	47	2	no	—
883	C₂×C₂²⋊C₄	—	47	2	no	—
884	C₂×C₂²⋊C₄	—	47	2	no	—
885	C₂×C₂²⋊C₄	—	47	2	no	—
886	C₂×C₂²⋊C₄	—	47	16	no	—
887	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
888	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
889	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
891	C₂×C₂²⋊C₄	C₂²×D₄₇	1	16	yes	—
892	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂²×D₄₇	1	8	yes	complemented
896	C₂×C₄²	—	47	1	no	—
897	C₂×C₄²	—	47	2	no	—
898	C₂×C₄²	—	47	2	no	—
899	C₂×C₄²	—	47	2	no	—
900	C₂×C₄²	—	47	1	no	—
901	C₂×C₄²	—	47	2	no	—
902	C₂⁴	—	2	4	no	—
903	C₂⁴	—	2	4	no	—
904	C₂⁴	—	4	4	no	—
905	C₂⁴	—	4	4	no	—
906	C₂⁴	—	47	2	no	—
907	C₂⁴	—	47	2	no	—
908	C₂⁴	—	47	4	no	—
909	C₂⁴	—	188	2	no	—
910	C₂⁴	—	188	4	no	—
911	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
912	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
913	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
914	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
915	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
916	C₂⁴	C₂³×D₄₇	1	4	yes	—
917	C₂⁴	C₂³×D₄₇	1	4	yes	—
918	#41	—	188	32	no	—
919	#41	—	188	16	no	—
920	C₂×Q₈	—	47	8	no	—
921	C₂×Q₈	—	47	8	no	—
922	C₂×Q₈	—	47	4	no	—
923	C₂×Q₈	—	188	4	no	—
924	C₂×Q₈	—	188	4	no	—
925	C₂×Q₈	—	188	2	no	—
926	C₂×D₄	—	4	2	no	—
927	C₂×D₄	—	4	2	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	4	2	no	—
930	C₂×D₄	—	4	16	no	—
931	C₂×D₄	—	47	8	no	—
932	C₂×D₄	—	47	8	no	—
933	C₂×D₄	—	47	8	no	—
934	C₂×D₄	—	47	8	no	—
935	C₂×D₄	—	47	8	no	—
936	C₂×D₄	—	47	8	no	—
937	C₂×D₄	—	47	8	no	—
938	C₂×D₄	—	47	8	no	—
939	C₂×D₄	—	47	8	no	—
940	C₂×D₄	—	47	8	no	—
941	C₂×D₄	—	47	8	no	—
942	C₂×D₄	—	47	4	no	—
943	C₂×D₄	—	94	8	no	—
944	C₂×D₄	—	94	8	no	—
945	C₂×D₄	—	188	4	no	—
946	C₂×D₄	—	188	4	no	—
947	C₂×D₄	—	188	2	no	—
948	C₂×D₄	—	188	4	no	—
949	C₂×D₄	—	188	4	no	—
950	C₂×D₄	—	188	4	no	—
951	C₂×D₄	—	188	4	no	—
952	C₂×D₄	—	188	4	no	—
953	C₂×D₄	—	188	4	no	—
954	C₂×D₄	—	188	4	no	—
955	C₂×D₄	—	188	16	no	—
956	C₂×D₄	C₂³×D₄₇	1	4	yes	—
957	C₂×D₄	C₂³×D₄₇	1	4	yes	—
958	C₂×D₄	C₂³×D₄₇	1	4	yes	—
959	C₂×D₄	C₂³×D₄₇	1	4	yes	—
960	C₂²×C₄	—	2	8	no	—
961	C₂²×C₄	—	2	4	no	—
962	C₂²×C₄	—	4	2	no	—
963	C₂²×C₄	—	4	4	no	—
964	C₂²×C₄	—	4	2	no	—
965	C₂²×C₄	—	4	16	no	—
966	C₂²×C₄	—	4	4	no	—
967	C₂²×C₄	—	47	2	no	—
968	C₂²×C₄	—	47	2	no	—
969	C₂²×C₄	—	47	2	no	—
970	C₂²×C₄	—	47	2	no	—
971	C₂²×C₄	—	47	2	no	—
972	C₂²×C₄	—	47	2	no	—
973	C₂²×C₄	—	47	8	no	—
974	C₂²×C₄	—	47	4	no	—
975	C₂²×C₄	—	47	8	no	—
976	C₂²×C₄	—	47	8	no	—
977	C₂²×C₄	—	47	8	no	—
978	C₂²×C₄	—	47	8	no	—
979	C₂²×C₄	—	47	8	no	—
980	C₂²×C₄	—	188	4	no	—
981	C₂²×C₄	—	188	4	no	—
982	C₂²×C₄	—	188	4	no	—
983	C₂²×C₄	—	188	4	no	—
984	C₂²×C₄	—	188	4	no	—
985	C₂²×C₄	—	188	4	no	—
986	C₂²×C₄	—	188	2	no	—
987	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
988	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
989	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
990	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
991	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
992	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
993	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
994	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
995	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
996	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
997	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
998	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
999	C₄⋊C₄	—	47	8	no	—
1000	C₄⋊C₄	—	47	8	no	—
1001	C₄⋊C₄	—	47	8	no	—
1002	C₄⋊C₄	—	47	8	no	—
1003	C₄⋊C₄	—	47	8	no	—
1004	C₄⋊C₄	—	47	8	no	—
1005	C₄⋊C₄	—	47	8	no	—
1006	C₄⋊C₄	—	47	8	no	—
1007	C₄⋊C₄	—	47	8	no	—
1008	C₄⋊C₄	—	47	8	no	—
1009	C₄⋊C₄	—	47	8	no	—
1010	C₄⋊C₄	—	47	8	no	—
1011	C₄⋊C₄	—	47	8	no	—
1012	C₄⋊C₄	—	47	8	no	—
1013	C₄⋊C₄	—	47	8	no	—
1014	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1015	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1016	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1017	C₄⋊C₄	C₂³×D₄₇	1	8	yes	—
1018	C₂²⋊C₄	—	47	8	no	—
1019	C₂²⋊C₄	—	47	8	no	—
1020	C₂²⋊C₄	—	47	4	no	—
1021	C₂²⋊C₄	—	47	4	no	—
1022	C₂²⋊C₄	—	47	8	no	—
1023	C₂²⋊C₄	—	47	8	no	—
1024	C₂²⋊C₄	—	47	8	no	—
1025	C₂²⋊C₄	—	47	8	no	—
1026	C₂²⋊C₄	—	47	8	no	—
1027	C₂²⋊C₄	—	47	8	no	—
1028	C₂²⋊C₄	—	47	8	no	—
1029	C₂²⋊C₄	—	47	8	no	—
1030	C₂²⋊C₄	—	47	8	no	—
1031	C₂²⋊C₄	—	47	8	no	—
1032	C₂²⋊C₄	—	47	8	no	—
1033	C₂²⋊C₄	—	47	8	no	—
1034	C₂²⋊C₄	—	47	8	no	—
1035	C₂²⋊C₄	—	47	8	no	—
1036	C₂²⋊C₄	—	47	8	no	—
1037	C₂²⋊C₄	—	47	8	no	—
1038	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1039	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1040	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1041	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1042	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1043	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
1044	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1045	C₄²	—	47	4	no	—
1046	C₄²	—	47	8	no	—
1047	C₄²	—	47	8	no	—
1048	C₄²	—	47	8	no	—
1049	C₄²	—	47	4	no	—
1050	C₄²	—	47	8	no	—
1051	C₂³	—	2	4	no	—
1052	C₂³	—	2	8	no	—
1053	C₂³	—	2	2	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	4	no	—
1058	C₂³	—	2	4	no	—
1059	C₂³	—	2	4	no	—
1060	C₂³	—	2	4	no	—
1061	C₂³	—	2	8	no	—
1062	C₂³	—	4	8	no	—
1063	C₂³	—	4	8	no	—
1064	C₂³	—	4	16	no	—
1065	C₂³	—	8	8	no	—
1066	C₂³	—	47	4	no	—
1067	C₂³	—	47	4	no	—
1068	C₂³	—	94	4	no	—
1069	C₂³	—	94	4	no	—
1070	C₂³	—	94	4	no	—
1071	C₂³	—	94	4	no	—
1072	C₂³	—	94	4	no	—
1073	C₂³	—	94	4	no	—
1074	C₂³	—	376	8	no	—
1075	C₂³	—	188	4	no	—
1076	C₂³	—	188	8	no	—
1077	C₂³	#13094069	1	4	yes	—
1078	C₂³	C₂⁴×D₄₇	1	2	yes	—
1079	C₂³	C₂⁴×D₄₇	1	2	yes	—
1080	C₂³	C₂⁴×D₄₇	1	2	yes	—
1081	C₂³	C₂⁴×D₄₇	1	2	yes	—
1082	C₂³	C₂⁴×D₄₇	1	2	yes	—
1083	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1084	Q₈	—	188	8	no	—
1085	Q₈	—	188	8	no	—
1086	Q₈	—	188	4	no	—
1087	D₄	—	4	4	no	—
1088	D₄	—	4	4	no	—
1089	D₄	—	4	4	no	—
1090	D₄	—	4	4	no	—
1091	D₄	—	94	16	no	—
1092	D₄	—	94	16	no	—
1093	D₄	—	188	8	no	—
1094	D₄	—	188	8	no	—
1095	D₄	—	188	4	no	—
1096	D₄	—	188	8	no	—
1097	D₄	—	188	8	no	—
1098	D₄	—	188	8	no	—
1099	D₄	—	188	8	no	—
1100	D₄	—	188	8	no	—
1101	D₄	—	188	8	no	—
1102	D₄	—	188	8	no	—
1103	C₂×C₄	—	2	4	no	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	2	16	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	8	no	—
1109	C₂×C₄	—	2	4	no	—
1110	C₂×C₄	—	2	4	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	8	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	8	no	—
1115	C₂×C₄	—	47	4	no	—
1116	C₂×C₄	—	47	4	no	—
1117	C₂×C₄	—	47	4	no	—
1118	C₂×C₄	—	47	4	no	—
1119	C₂×C₄	—	47	4	no	—
1120	C₂×C₄	—	47	4	no	—
1121	C₂×C₄	—	94	4	no	—
1122	C₂×C₄	—	94	4	no	—
1123	C₂×C₄	—	94	4	no	—
1124	C₂×C₄	—	94	4	no	—
1125	C₂×C₄	—	94	4	no	—
1126	C₂×C₄	—	94	4	no	—
1127	C₂×C₄	—	188	8	no	—
1128	C₂×C₄	—	188	8	no	—
1129	C₂×C₄	—	188	8	no	—
1130	C₂×C₄	—	188	8	no	—
1131	C₂×C₄	—	188	8	no	—
1132	C₂×C₄	—	188	8	no	—
1133	C₂×C₄	—	188	4	no	—
1134	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1135	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1136	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1137	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1138	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1139	C₂×C₄	C₂⁴×D₄₇	1	2	yes	—
1140	C₂²	—	2	8	no	—
1141	C₂²	—	2	4	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	2	no	—
1145	C₂²	—	2	2	no	—
1146	C₂²	—	2	4	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	4	no	—
1149	C₂²	—	2	4	no	—
1150	C₂²	—	4	16	no	—
1151	C₂²	—	4	4	no	—
1152	C₂²	—	4	4	no	—
1153	C₂²	—	4	4	no	—
1154	C₂²	—	4	4	no	—
1155	C₂²	—	8	8	no	—
1156	C₂²	—	94	4	no	—
1157	C₂²	—	94	4	no	—
1158	C₂²	—	94	4	no	—
1159	C₂²	—	94	4	no	—
1160	C₂²	—	94	4	no	—
1161	C₂²	—	94	4	no	—
1162	C₂²	—	376	8	no	—
1163	C₂²	—	188	8	no	—
1164	C₂²	—	188	8	no	—
1165	C₂²	C₂×#13094069	1	4	yes	—
1166	C₂²	C₂×#13094069	1	2	yes	—
1167	C₂²	#15689959	1	4	yes	—
1168	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1169	C₄	—	2	4	no	—
1170	C₄	—	2	4	no	—
1171	C₄	—	2	2	no	—
1172	C₄	—	2	2	no	—
1173	C₄	—	2	4	no	—
1174	C₄	—	2	4	no	—
1175	C₄	—	94	4	no	—
1176	C₄	—	94	4	no	—
1177	C₄	—	94	4	no	—
1178	C₄	—	94	4	no	—
1179	C₄	—	94	4	no	—
1180	C₄	—	94	4	no	—
1181	C₂	—	2	4	no	—
1182	C₂	—	4	2	no	—
1183	C₂	—	4	2	no	—
1184	C₂	—	4	2	no	—
1185	C₂	—	4	2	no	—
1186	C₂	—	188	4	no	—
1187	C₂	—	188	4	no	—
1188	C₂	#20257559	1	4	yes	direct product factor
1189	C₂	C₂²×#13094069	1	1	yes	characteristic
1190	C₂	C₂×#15689959	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂²×#123×C₄₇	C₂
socle	C₂³×C₄₇	C₂⁵
hypercenter	C₂²×#123	D₄₇
hypocenter	C₄₇	C₂×#3533
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂²×#123

Complements

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

N	H ≅ G/N	type
1. #20257559	C₂	direct (N × H)
2. C₂×#15689876	C₂	semidirect
3. C₂×#15689870	C₂	semidirect
4. C₂×#15689863	C₂	semidirect
5. C₂×#15689857	C₂	semidirect
6. C₂×#15689818	C₂	semidirect
7. C₂×#15689808	C₂	semidirect
8. C₂×#15689801	C₂	semidirect
9. C₂×#15689799	C₂	semidirect
10. C₂×#15689774	C₂	semidirect
11. C₂×#15689763	C₂	semidirect
12. C₂×#15689741	C₂	semidirect
13. C₂×#15689725	C₂	semidirect
14. C₂×#15689716	C₂	semidirect
15. C₂×#15689711	C₂	semidirect
16. C₂×#15689709	C₂	semidirect
17. C₂×#15689690	C₂	semidirect
18. C₂×#15689682	C₂	semidirect
19. C₂×#15689634	C₂	semidirect
20. C₂²×#123×C₄₇	C₂	semidirect
22. C₂²×#10625350	C₂²	semidirect
24. #15689876	C₂²	semidirect
25. #15689870	C₂²	semidirect
26. #15689863	C₂²	semidirect
27. #15689857	C₂²	semidirect
28. #15689818	C₂²	semidirect
29. #15689808	C₂²	semidirect
30. #15689801	C₂²	semidirect
31. #15689799	C₂²	semidirect
32. #15689774	C₂²	semidirect
33. #15689763	C₂²	semidirect
34. #15689741	C₂²	semidirect
35. #15689725	C₂²	semidirect
36. #15689716	C₂²	semidirect
37. #15689711	C₂²	semidirect
38. #15689709	C₂²	semidirect
39. #15689690	C₂²	semidirect
40. #15689682	C₂²	semidirect
41. C₂×#13094023	C₂²	semidirect
43. C₂×#13094020	C₂²	semidirect
44. C₂×#13094019	C₂²	semidirect
45. C₂×#13094019	C₂²	semidirect
46. C₂×#13094017	C₂²	semidirect
47. C₂×#13094017	C₂²	semidirect
48. C₂×#13094017	C₂²	semidirect
49. C₂×#13094017	C₂²	semidirect
50. C₂×#13094015	C₂²	semidirect
51. C₂×#13094014	C₂²	semidirect
52. C₂×#13094014	C₂²	semidirect
54. C₂×#13094011	C₂²	semidirect
55. C₂×#13094010	C₂²	semidirect
56. C₂×#13094010	C₂²	semidirect
57. C₂×#13094010	C₂²	semidirect
58. C₂×#13094010	C₂²	semidirect
59. #15689634	C₂²	semidirect
60. C₂×#13094009	C₂²	semidirect
61. C₂×#13094009	C₂²	semidirect
62. C₂×#13094008	C₂²	semidirect
65. C₂×#13094007	C₂²	semidirect
66. C₂×#13094006	C₂²	semidirect
67. C₂×#13094006	C₂²	semidirect
68. C₂×#13094006	C₂²	semidirect
69. C₂×#13094006	C₂²	semidirect
72. C₂×#13094004	C₂²	semidirect
73. C₂×#13094003	C₂²	semidirect
74. C₂×#13094003	C₂²	semidirect
75. C₂×#13094003	C₂²	semidirect
76. C₂×#13094002	C₂²	semidirect
77. C₂×#13094002	C₂²	semidirect
78. C₂×#13094001	C₂²	semidirect
79. C₂×#13094001	C₂²	semidirect
80. C₂×#13093999	C₂²	semidirect
82. C₂×#13093998	C₂²	semidirect
83. C₂×#13093998	C₂²	semidirect
84. C₂×#13093997	C₂²	semidirect
85. C₂×#13093997	C₂²	semidirect
86. C₂×#13093997	C₂²	semidirect
87. C₂×#13093997	C₂²	semidirect
91. C₂×#13093995	C₂²	semidirect
92. C₂×#13093994	C₂²	semidirect
95. C₂×#13093993	C₂²	semidirect
98. C₂×#13093989	C₂²	semidirect
99. C₂×#13093986	C₂²	semidirect
101. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
102. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
103. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
104. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
105. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
106. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
107. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
108. C₂×#13093983	C₂²	semidirect
109. C₂×#13093983	C₂²	semidirect
110. C₂×#13093982	C₂²	semidirect
111. C₂×#13093980	C₂²	semidirect
112. C₂×C₄⋊C₄×D₄₇	C₂²	semidirect
114. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
116. C₂⁴×C₄×C₄₇	C₂²	semidirect
120. C₂×#123×C₄₇	C₂²	semidirect
121. C₂×#123×C₄₇	C₂²	semidirect
122. C₂×#123×C₄₇	C₂²	semidirect
123. C₂×#123×C₄₇	C₂²	semidirect
124. C₂²×C₄⋊C₄×C₄₇	C₂²	semidirect
126. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
131. C₂×#10625350	C₂³	semidirect
156. #13094023	C₂³	semidirect
158. #13094020	C₂³	semidirect
159. #13094019	C₂³	semidirect
160. #13094019	C₂³	semidirect
161. #13094017	C₂³	semidirect
162. #13094017	C₂³	semidirect
163. #13094017	C₂³	semidirect
164. #13094017	C₂³	semidirect
165. #13094015	C₂³	semidirect
166. #13094014	C₂³	semidirect
167. #13094014	C₂³	semidirect
169. #13094011	C₂³	semidirect
170. #13094010	C₂³	semidirect
171. #13094010	C₂³	semidirect
172. #13094010	C₂³	semidirect
173. #13094010	C₂³	semidirect
174. #13094009	C₂³	semidirect
175. #13094009	C₂³	semidirect
176. #13094008	C₂³	semidirect
179. #13094007	C₂³	semidirect
180. #13094006	C₂³	semidirect
181. #13094006	C₂³	semidirect
182. #13094006	C₂³	semidirect
183. #13094006	C₂³	semidirect
186. #13094004	C₂³	semidirect
187. #13094003	C₂³	semidirect
188. #13094003	C₂³	semidirect
189. #13094003	C₂³	semidirect
190. #13094002	C₂³	semidirect
191. #13094002	C₂³	semidirect
192. #13094001	C₂³	semidirect
193. #13094001	C₂³	semidirect
194. #13093999	C₂³	semidirect
196. #13093998	C₂³	semidirect
197. #13093998	C₂³	semidirect
198. #13093997	C₂³	semidirect
199. #13093997	C₂³	semidirect
200. #13093997	C₂³	semidirect
201. #13093997	C₂³	semidirect
205. #13093995	C₂³	semidirect
206. #13093994	C₂³	semidirect
209. #13093993	C₂³	semidirect
212. #13093989	C₂³	semidirect
213. #13093986	C₂³	semidirect
215. C₄×C₂²⋊D₄₇	C₂³	semidirect
216. C₄×C₂²⋊D₄₇	C₂³	semidirect
217. C₄×C₂²⋊D₄₇	C₂³	semidirect
218. C₄×C₂²⋊D₄₇	C₂³	semidirect
219. C₄×C₂²⋊D₄₇	C₂³	semidirect
220. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
221. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
222. #13093983	C₂³	semidirect
223. #13093983	C₂³	semidirect
224. #13093982	C₂³	semidirect
225. #13093980	C₂³	semidirect
241. C₄⋊C₄×D₄₇	C₂³	semidirect
263. C₂²⋊C₄×D₄₇	C₂³	semidirect
285. C₂³×C₄×C₄₇	C₂³	semidirect
289. #123×C₄₇	C₂³	semidirect
290. #123×C₄₇	C₂³	semidirect
291. #123×C₄₇	C₂³	semidirect
296. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
305. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
605. C₂²×#123	D₄₇	semidirect
611. C₂×C₄₇	#3533	semidirect
620. C₂⁴×C₄	C₂×D₄₇	semidirect
672. C₂×#123	C₂×D₄₇	semidirect
673. C₂×#123	C₂×D₄₇	semidirect
674. C₂×#123	C₂×D₄₇	semidirect
675. C₂×#123	C₂×D₄₇	semidirect
717. C₂²×C₄⋊C₄	C₂×D₄₇	semidirect
721. C₂²×C₂²⋊C₄	C₂×D₄₇	semidirect
722. C₄₇	C₂×#3533	semidirect
767. C₂³×C₄	C₂²×D₄₇	semidirect
801. #123	C₂²×D₄₇	semidirect
802. #123	C₂²×D₄₇	semidirect
803. #123	C₂²×D₄₇	semidirect
864. C₂×C₄⋊C₄	C₂²×D₄₇	semidirect
895. C₂×C₂²⋊C₄	C₂²×D₄₇	semidirect
1188. C₂	#20257559	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257559	2
C₂×#15689876	2
C₂×#15689870	2
C₂×#15689863	2
C₂×#15689857	2
C₂×#15689818	2
C₂×#15689808	2
C₂×#15689801	2
C₂×#15689799	2
C₂×#15689774	2
C₂×#15689763	2
C₂×#15689741	2
C₂×#15689725	2
C₂×#15689716	2
C₂×#15689711	2
C₂×#15689709	2
C₂×#15689690	2
C₂×#15689682	2
C₂×#15689634	2
C₂²×#123×C₄₇	2
C₂×#3533	47

Subgroups — C2×#20257559 #27123536

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257559 #27123536