Subgroups — C₂×#20257084 #27124327

Order 12032.

7390 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257084	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689810	C₂	1	4	yes	maximal, complemented
3	C₂×#15689808	C₂	1	4	yes	maximal, complemented
4	C₂×#15689799	C₂	1	4	yes	maximal, complemented
5	C₂×#15689796	C₂	1	4	yes	maximal, complemented
6	C₂×#15689749	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689717	C₂	1	4	yes	maximal, complemented
8	C₂×#15689682	C₂	1	1	yes	maximal, characteristic
9	C₂×#15689650	C₂	1	4	yes	maximal, complemented
10	C₂²×#13094007	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#15689598	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689596	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#13093983	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#123×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂³×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
16	#15689810	C₂²	1	64	yes	complemented
17	#15689808	C₂²	1	64	yes	complemented
18	#15689799	C₂²	1	64	yes	complemented
19	#15689796	C₂²	1	64	yes	complemented
20	#15689749	C₂²	1	16	yes	complemented
21	#15689717	C₂²	1	64	yes	complemented
22	#15689682	C₂²	1	16	yes	—
23	#15689650	C₂²	1	64	yes	complemented
24	C₂×#13094019	C₂²	1	4	yes	complemented
25	C₂×#13094019	C₂²	1	4	yes	complemented
26	C₂×#13094017	C₂²	1	4	yes	complemented
27	C₂×#13094017	C₂²	1	4	yes	complemented
28	C₂×#13094015	C₂²	1	4	yes	complemented
29	C₂×#13094014	C₂²	1	4	yes	complemented
30	C₂×#13094014	C₂²	1	4	yes	complemented
31	C₂×#13094010	C₂²	1	4	yes	complemented
32	C₂×#13094008	C₂²	1	4	yes	complemented
33	C₂×#13094007	C₂²	1	4	yes	—
34	C₂×#13094007	C₂²	1	2	yes	—
35	C₂×#13094007	C₂²	1	2	yes	complemented
36	C₂×#13094007	C₂²	1	2	yes	complemented
37	C₂×#13094007	C₂²	1	16	yes	complemented
38	C₂×#13094006	C₂²	1	4	yes	complemented
39	C₂×#13094005	C₂²	1	2	yes	—
40	C₂×#13094004	C₂²	1	4	yes	complemented
41	C₂×#13094003	C₂²	1	4	yes	complemented
42	C₂×#13094001	C₂²	1	4	yes	complemented
43	C₂×#13094001	C₂²	1	4	yes	complemented
44	C₂×#13094001	C₂²	1	4	yes	complemented
45	C₂×#13093996	C₂²	1	4	yes	—
46	C₂×#13093993	C₂²	1	2	yes	—
47	C₂×#13093992	C₂²	1	2	yes	—
48	#15689598	C₂²	1	16	yes	complemented
49	#15689596	C₂²	1	16	yes	complemented
50	C₂×#13093989	C₂²	1	4	yes	complemented
51	C₂×D₄×Dic₄₇	C₂²	1	4	yes	—
52	C₂×D₄×Dic₄₇	C₂²	1	4	yes	complemented
53	C₂×C₄×C₂²⋊D₄₇	C₂²	1	4	yes	—
54	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	complemented
55	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	complemented
56	C₂×#13093983	C₂²	1	4	yes	complemented
57	C₂×#13093983	C₂²	1	4	yes	complemented
58	C₂×#13093983	C₂²	1	2	yes	complemented
59	C₂×#13093983	C₂²	1	16	yes	complemented
60	C₂×#13093982	C₂²	1	4	yes	complemented
61	C₂×#13093980	C₂²	1	2	yes	complemented
62	C₂×#13093980	C₂²	1	4	yes	complemented
63	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
64	C₂²×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
65	C₂²×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
66	C₂²×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
67	C₂²×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
68	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
69	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
70	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
71	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	complemented
72	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
73	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic
74	C₂×#123×C₄₇	C₂²	1	4	yes	—
75	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
76	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
77	C₂×#123×C₄₇	C₂²	1	16	yes	complemented
78	C₂²×C₄⋊C₄×C₄₇	C₂²	1	2	yes	complemented
79	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
80	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	complemented
81	C₂⁴×D₄₇	C₂³	1	1	yes	characteristic
82	C₂²×Dic₉₄	C₂³	1	4	yes	—
83	C₂²×C₂²⋊D₄₇	—	2	8	no	—
84	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
85	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
86	C₂²×C₂²⋊D₄₇	C₂³	1	8	yes	—
87	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
88	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
89	C₂³×Dic₄₇	C₂³	1	2	yes	—
90	C₂³×Dic₄₇	C₂³	1	2	yes	—
91	C₂³×Dic₄₇	C₂³	1	2	yes	—
92	C₂³×Dic₄₇	C₂³	1	4	yes	—
93	C₂²×C₄×D₄₇	C₂³	1	4	yes	—
94	#13094019	C₂³	1	32	yes	complemented
95	#13094019	C₂³	1	32	yes	complemented
96	#13094017	C₂³	1	32	yes	complemented
97	#13094017	C₂³	1	32	yes	complemented
98	#13094015	C₂³	1	32	yes	complemented
99	#13094014	C₂³	1	32	yes	complemented
100	#13094014	C₂³	1	32	yes	complemented
101	#13094010	C₂³	1	32	yes	complemented
102	#13094008	C₂³	1	32	yes	complemented
103	#13094007	C₂³	1	32	yes	—
104	#13094007	C₂³	1	16	yes	—
105	#13094007	C₂³	1	16	yes	complemented
106	#13094007	C₂³	1	16	yes	complemented
107	#13094006	C₂³	1	32	yes	complemented
108	#13094005	C₂³	1	16	yes	—
109	#13094004	C₂³	1	32	yes	complemented
110	#13094003	C₂³	1	32	yes	complemented
111	#13094001	C₂³	1	32	yes	complemented
112	#13094001	C₂³	1	32	yes	complemented
113	#13094001	C₂³	1	32	yes	complemented
114	#13093996	C₂³	1	32	yes	—
115	#13093993	C₂³	1	16	yes	—
116	#13093992	C₂³	1	16	yes	—
117	#13093989	C₂³	1	32	yes	complemented
118	D₄×Dic₄₇	C₂³	1	32	yes	—
119	D₄×Dic₄₇	C₂³	1	32	yes	complemented
120	C₄×C₂²⋊D₄₇	C₂³	1	32	yes	—
121	(C₂²⋊D₄₇)⋊C₄	C₂³	1	32	yes	complemented
122	(C₂²⋊D₄₇)⋊C₄	C₂³	1	32	yes	complemented
123	#13093983	C₂³	1	32	yes	complemented
124	#13093983	C₂³	1	32	yes	complemented
125	#13093983	C₂³	1	16	yes	complemented
126	#13093982	C₂³	1	32	yes	complemented
127	#13093980	C₂³	1	32	yes	complemented
128	#13093980	C₂³	1	16	yes	complemented
129	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
130	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
131	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
132	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
133	C₂×C₄⋊Dic₄₇	C₂³	1	16	yes	complemented
134	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
135	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
136	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
137	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
138	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
139	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
140	C₂×Dic₄₇⋊C₄	C₂³	1	16	yes	complemented
141	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
142	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
143	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
144	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
145	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
146	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
147	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
148	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
149	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
150	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
151	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
152	C₂×C₂²⋊Dic₄₇	C₂³	1	16	yes	complemented
153	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
154	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
155	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
156	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
157	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	yes	complemented
158	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
159	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
160	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
161	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
162	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
163	C₂×C₄×Dic₄₇	C₂³	1	16	yes	complemented
164	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
165	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
166	C₂²×D₄×C₄₇	—	2	8	no	—
167	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
168	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
169	C₂²×D₄×C₄₇	C₂³	1	8	yes	—
170	C₂³×C₄×C₄₇	—	2	8	no	—
171	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
172	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
173	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
174	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
175	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
176	C₂³×C₄×C₄₇	C₂³	1	8	yes	—
177	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
178	#123×C₄₇	C₂³	1	32	yes	—
179	#123×C₄₇	C₂³	1	16	yes	complemented
180	#123×C₄₇	C₂³	1	16	yes	complemented
181	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
182	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
183	C₂×C₄⋊C₄×C₄₇	C₂³	1	16	yes	complemented
184	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
185	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
188	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
189	C₂×C₂²⋊C₄×C₄₇	C₂³	1	16	yes	complemented
190	C₂⁴×C₄₇	—	2	4	no	—
191	C₂⁴×C₄₇	—	4	4	no	—
192	C₂⁴×C₄₇	—	4	4	no	—
193	C₂⁴×C₄₇	#41	1	8	yes	—
194	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
195	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
196	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
197	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
198	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
199	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
200	C₂³×D₄₇	—	2	4	no	—
201	C₂³×D₄₇	—	4	4	no	—
202	C₂³×D₄₇	C₂⁴	1	2	yes	—
203	C₂³×D₄₇	C₂⁴	1	4	yes	—
204	C₂×D₄×C₄₇	—	2	8	no	—
205	C₂×D₄×C₄₇	—	2	8	no	—
206	C₂×D₄×C₄₇	—	2	32	no	—
207	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
208	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
209	C₂²×C₄×C₄₇	—	2	8	no	—
210	C₂²×C₄×C₄₇	—	2	8	no	—
211	C₂²×C₄×C₄₇	—	2	4	no	—
212	C₂²×C₄×C₄₇	—	2	4	no	—
213	C₂²×C₄×C₄₇	—	2	32	no	—
214	C₂²×C₄×C₄₇	—	2	4	no	—
215	C₂²×C₄×C₄₇	—	4	4	no	—
216	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
217	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
218	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
219	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
220	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
221	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
222	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
223	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
224	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
225	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
226	C₂×C₂²⋊D₄₇	—	2	8	no	—
227	C₂×C₂²⋊D₄₇	—	2	8	no	—
228	C₂×C₂²⋊D₄₇	—	2	32	no	—
229	C₂×C₂²⋊D₄₇	—	4	8	no	—
230	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
231	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
232	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
233	C₂²×Dic₄₇	—	2	4	no	—
234	C₂²×Dic₄₇	—	4	4	no	—
235	C₂²×Dic₄₇	—	4	8	no	—
236	C₂²×Dic₄₇	—	4	4	no	—
237	C₂²×Dic₄₇	—	4	4	no	—
238	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
239	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
240	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
241	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
242	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
243	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
244	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
245	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
246	C₂²×Dic₄₇	C₂⁴	1	16	yes	—
247	C₂×C₄×D₄₇	—	4	8	no	—
248	C₂×C₄×D₄₇	C₂⁴	1	16	yes	—
249	C₂×Dic₉₄	—	4	8	no	—
250	C₂×Dic₉₄	C₂⁴	1	16	yes	—
251	C₄⋊C₄×C₄₇	C₂⁴	1	16	yes	—
252	C₄⋊C₄×C₄₇	C₂⁴	1	16	yes	—
253	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
254	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
255	C₂²⋊C₄×C₄₇	C₂⁴	1	16	yes	—
256	C₂²⋊C₄×C₄₇	C₂⁴	1	16	yes	—
257	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
258	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
259	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
260	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
261	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
262	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
263	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
264	C₂²⋊Dic₄₇	C₂⁴	1	16	yes	—
265	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
266	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
267	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
268	(C₂×D₄₇)⋊C₄	C₂⁴	1	16	yes	—
269	C₄⋊Dic₄₇	C₂⁴	1	16	yes	—
270	C₄⋊Dic₄₇	C₂⁴	1	16	yes	—
271	C₄⋊Dic₄₇	C₂⁴	1	16	yes	—
272	C₄⋊Dic₄₇	C₂⁴	1	16	yes	—
273	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
274	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
275	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
276	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
277	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
278	Dic₄₇⋊C₄	C₂⁴	1	16	yes	—
279	C₄×Dic₄₇	C₂⁴	1	16	yes	—
280	C₄×Dic₄₇	C₂⁴	1	16	yes	—
281	C₄×Dic₄₇	C₂⁴	1	16	yes	—
282	C₄×Dic₄₇	C₂⁴	1	16	yes	—
283	C₂³×C₄₇	—	2	4	no	—
284	C₂³×C₄₇	—	2	4	no	—
285	C₂³×C₄₇	—	2	4	no	—
286	C₂³×C₄₇	—	2	4	no	—
287	C₂³×C₄₇	—	2	8	no	—
288	C₂³×C₄₇	—	2	8	no	—
289	C₂³×C₄₇	—	4	16	no	—
290	C₂³×C₄₇	—	4	8	no	—
291	C₂³×C₄₇	—	4	8	no	—
292	C₂³×C₄₇	—	8	8	no	—
293	C₂³×C₄₇	C₂×#41	1	4	yes	—
294	C₂³×C₄₇	C₂×#41	1	4	yes	—
295	C₂³×C₄₇	C₂×#41	1	4	yes	—
296	C₂³×C₄₇	C₂×#41	1	16	yes	—
297	C₂³×C₄₇	C₂⁵	1	4	yes	—
298	C₂³×C₄₇	C₂⁵	1	2	yes	—
299	C₂³×C₄₇	C₂⁵	1	2	yes	—
300	C₂³×C₄₇	C₂⁵	1	2	yes	—
301	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
302	C₂²×D₄₇	—	2	4	no	—
303	C₂²×D₄₇	—	2	8	no	—
304	C₂²×D₄₇	—	2	8	no	—
305	C₂²×D₄₇	—	4	8	no	—
306	C₂²×D₄₇	—	8	8	no	—
307	C₂²×D₄₇	C₂⁵	1	4	yes	—
308	D₄×C₄₇	—	2	16	no	—
309	D₄×C₄₇	—	2	16	no	—
310	C₂×C₄×C₄₇	—	2	16	no	—
311	C₂×C₄×C₄₇	—	2	16	no	—
312	C₂×C₄×C₄₇	—	2	8	no	—
313	C₂×C₄×C₄₇	—	2	8	no	—
314	C₂×C₄×C₄₇	—	2	4	no	—
315	C₂×C₄×C₄₇	—	2	4	no	—
316	C₂×C₄×C₄₇	—	2	8	no	—
317	C₂×C₄×C₄₇	—	2	4	no	—
318	C₂×C₄×C₄₇	—	2	8	no	—
319	C₂×C₄×C₄₇	—	4	8	no	—
320	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
321	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
322	C₂×C₄×C₄₇	C₂⁵	1	8	yes	—
323	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
324	C₂²⋊D₄₇	—	2	16	no	—
325	C₂²⋊D₄₇	—	2	16	no	—
326	C₂²⋊D₄₇	—	4	16	no	—
327	C₂×Dic₄₇	—	2	8	no	—
328	C₂×Dic₄₇	—	2	4	no	—
329	C₂×Dic₄₇	—	2	8	no	—
330	C₂×Dic₄₇	—	2	8	no	—
331	C₂×Dic₄₇	—	2	8	no	—
332	C₂×Dic₄₇	—	4	8	no	—
333	C₂×Dic₄₇	—	4	16	no	—
334	C₂×Dic₄₇	—	4	8	no	—
335	C₂×Dic₄₇	—	4	8	no	—
336	C₂×Dic₄₇	C₂⁵	1	8	yes	—
337	C₂×Dic₄₇	C₂⁵	1	4	yes	—
338	C₂×Dic₄₇	C₂⁵	1	8	yes	—
339	C₂×Dic₄₇	C₂⁵	1	8	yes	—
340	C₄×D₄₇	—	4	16	no	—
341	Dic₉₄	—	4	16	no	—
342	C₂×#3491	—	47	1	no	maximal, Sylow
343	C₂²×C₄₇	—	2	4	no	—
344	C₂²×C₄₇	—	2	4	no	—
345	C₂²×C₄₇	—	2	4	no	—
346	C₂²×C₄₇	—	2	8	no	—
347	C₂²×C₄₇	—	2	8	no	—
348	C₂²×C₄₇	—	2	8	no	—
349	C₂²×C₄₇	—	2	4	no	—
350	C₂²×C₄₇	—	2	8	no	—
351	C₂²×C₄₇	—	4	16	no	—
352	C₂²×C₄₇	—	4	8	no	—
353	C₂²×C₄₇	—	8	8	no	—
354	C₂²×C₄₇	C₂²×#41	1	4	yes	—
355	C₂²×C₄₇	C₂²×#41	1	4	yes	—
356	C₂²×C₄₇	C₂²×#41	1	4	yes	—
357	C₂²×C₄₇	C₂²×#41	1	2	yes	—
358	C₂²×C₄₇	#585	1	4	yes	—
359	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
360	C₂×D₄₇	—	2	4	no	—
361	C₂×D₄₇	—	2	8	no	—
362	C₂×D₄₇	—	4	8	no	—
363	C₂×D₄₇	—	8	8	no	—
364	C₄×C₄₇	—	2	4	no	—
365	C₄×C₄₇	—	2	4	no	—
366	C₄×C₄₇	—	2	4	no	—
367	C₄×C₄₇	—	2	8	no	—
368	Dic₄₇	—	2	4	no	—
369	Dic₄₇	—	2	8	no	—
370	Dic₄₇	—	2	8	no	—
371	Dic₄₇	—	2	8	no	—
372	#3491	—	47	32	no	—
373	C₂×#552	—	47	4	no	—
374	C₂×#552	—	47	4	no	—
375	C₂×#551	—	47	4	no	—
376	C₂×#551	—	47	4	no	—
377	C₂×#543	—	47	1	no	—
378	C₂×#539	—	47	4	no	—
379	C₂×#534	—	47	1	no	—
380	C₂×#529	—	47	4	no	—
381	C₂²×#123	—	47	1	no	—
382	C₂²×#123	D₄₇	1	1	yes	characteristic, complemented
383	C₂×#518	—	47	1	no	—
384	C₂×#518	—	47	1	no	—
385	C₂²×#117	—	47	1	no	—
386	C₂×C₄₇	—	2	4	no	—
387	C₂×C₄₇	—	2	4	no	—
388	C₂×C₄₇	—	2	4	no	—
389	C₂×C₄₇	—	4	4	no	—
390	C₂×C₄₇	#3491	1	4	yes	complemented
391	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
392	C₂×C₄₇	C₂×#585	1	2	yes	—
393	D₄₇	—	4	4	no	—
394	C₂³×D₄	—	47	1	no	—
395	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic
396	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic
397	#552	—	47	64	no	—
398	#552	—	47	64	no	—
399	#551	—	47	64	no	—
400	#551	—	47	64	no	—
401	#543	—	47	16	no	—
402	#539	—	47	64	no	—
403	#534	—	47	16	no	—
404	#529	—	47	64	no	—
405	C₂×#126	—	47	4	no	—
406	C₂×#126	—	47	4	no	—
407	C₂×#126	—	47	4	no	—
408	C₂×#126	—	47	4	no	—
409	C₂×#125	—	47	4	no	—
410	C₂×#125	—	47	4	no	—
411	C₂×#125	—	47	4	no	—
412	C₂×#124	—	47	4	no	—
413	C₂×#123	—	47	2	no	—
414	C₂×#123	—	47	2	no	—
415	C₂×#123	—	47	2	no	—
416	C₂×#123	—	47	4	no	—
417	C₂×#123	—	47	16	no	—
418	C₂×#123	—	47	2	no	—
419	C₂×#123	—	47	4	no	—
420	C₂×#123	—	47	4	no	—
421	C₂×#123	C₂×D₄₇	1	4	yes	—
422	C₂×#123	C₂×D₄₇	1	2	yes	complemented
423	C₂×#123	C₂×D₄₇	1	2	yes	complemented
424	C₂×#123	C₂×D₄₇	1	16	yes	complemented
425	C₂×C₂²⋊Q₈	—	47	4	no	—
426	C₂×C₂²⋊Q₈	—	47	4	no	—
427	C₂×C₂²⋊Q₈	—	47	4	no	—
428	C₂×C₂²⋊Q₈	—	47	4	no	—
429	C₂×C₂²⋊Q₈	—	47	4	no	—
430	C₂×#121	—	47	4	no	—
431	C₂×#120	—	47	2	no	—
432	C₂×#120	—	47	2	no	—
433	#518	—	47	16	no	—
434	#518	—	47	16	no	—
435	C₂×C₄×Q₈	—	47	4	no	—
436	C₂×C₄×D₄	—	47	4	no	—
437	C₂×C₄×D₄	—	47	4	no	—
438	C₂×C₄×D₄	—	47	4	no	—
439	C₂×C₄×D₄	—	47	4	no	—
440	C₂×C₄×D₄	—	47	4	no	—
441	C₂×#117	—	47	4	no	—
442	C₂×#117	—	47	4	no	—
443	C₂×#117	—	47	16	no	—
444	C₂×#117	—	47	2	no	—
445	C₂×#117	—	47	4	no	—
446	C₂×#117	—	47	2	no	—
447	C₂×#117	—	47	4	no	—
448	C₂²×C₄⋊C₄	—	47	2	no	—
449	C₂²×C₄⋊C₄	—	47	2	no	—
450	C₂²×C₄⋊C₄	C₂×D₄₇	1	2	yes	complemented
451	C₂²×C₂²⋊C₄	—	47	1	no	—
452	C₂²×C₂²⋊C₄	—	47	1	no	—
453	C₂²×C₂²⋊C₄	—	47	1	no	—
454	C₂²×C₂²⋊C₄	—	47	2	no	—
455	C₂²×C₂²⋊C₄	—	47	2	no	—
456	C₂²×C₂²⋊C₄	—	47	2	no	—
457	C₂²×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
458	C₂²×C₂²⋊C₄	C₂×D₄₇	1	2	yes	complemented
459	C₂²×C₄²	—	47	2	no	—
460	C₄₇	C₂×#3491	1	1	yes	characteristic, complemented, Sylow
461	C₂⁵	—	47	1	no	—
462	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
463	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
464	C₂²×Q₈	—	47	4	no	—
465	C₂²×D₄	—	2	8	no	—
466	C₂²×D₄	—	47	2	no	—
467	C₂²×D₄	—	47	2	no	—
468	C₂²×D₄	—	47	8	no	—
469	C₂²×D₄	—	47	4	no	—
470	C₂²×D₄	—	94	8	no	—
471	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
472	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
473	C₂²×D₄	C₂²×D₄₇	1	8	yes	—
474	C₂³×C₄	—	2	8	no	—
475	C₂³×C₄	—	47	1	no	—
476	C₂³×C₄	—	47	2	no	—
477	C₂³×C₄	—	47	2	no	—
478	C₂³×C₄	—	47	2	no	—
479	C₂³×C₄	—	47	4	no	—
480	C₂³×C₄	—	47	4	no	—
481	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
482	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
483	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
484	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
485	C₂³×C₄	C₂²×D₄₇	1	8	yes	—
486	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
487	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
488	#126	—	47	32	no	—
489	#126	—	47	32	no	—
490	#126	—	47	32	no	—
491	#126	—	47	32	no	—
492	#125	—	47	32	no	—
493	#125	—	47	32	no	—
494	#125	—	47	32	no	—
495	#124	—	47	32	no	—
496	#123	—	47	16	no	—
497	#123	—	47	16	no	—
498	#123	—	47	16	no	—
499	#123	—	47	32	no	—
500	#123	—	47	16	no	—
501	#123	—	47	32	no	—
502	#123	—	47	32	no	—
503	#123	C₂²×D₄₇	1	32	yes	—
504	#123	C₂²×D₄₇	1	16	yes	complemented
505	#123	C₂²×D₄₇	1	16	yes	complemented
506	C₂²⋊Q₈	—	47	32	no	—
507	C₂²⋊Q₈	—	47	32	no	—
508	C₂²⋊Q₈	—	47	32	no	—
509	C₂²⋊Q₈	—	47	32	no	—
510	C₂²⋊Q₈	—	47	32	no	—
511	#121	—	47	32	no	—
512	#120	—	47	16	no	—
513	#120	—	47	16	no	—
514	C₄×Q₈	—	47	32	no	—
515	C₄×D₄	—	47	32	no	—
516	C₄×D₄	—	47	32	no	—
517	C₄×D₄	—	47	32	no	—
518	C₄×D₄	—	47	32	no	—
519	C₄×D₄	—	47	32	no	—
520	#117	—	47	32	no	—
521	#117	—	47	32	no	—
522	#117	—	47	16	no	—
523	#117	—	47	32	no	—
524	#117	—	47	16	no	—
525	#117	—	47	32	no	—
526	C₂×C₄⋊C₄	—	47	4	no	—
527	C₂×C₄⋊C₄	—	47	4	no	—
528	C₂×C₄⋊C₄	—	47	16	no	—
529	C₂×C₄⋊C₄	—	47	4	no	—
530	C₂×C₄⋊C₄	—	47	4	no	—
531	C₂×C₄⋊C₄	—	47	16	no	—
532	C₂×C₄⋊C₄	—	47	4	no	—
533	C₂×C₄⋊C₄	—	47	4	no	—
534	C₂×C₄⋊C₄	—	47	4	no	—
535	C₂×C₄⋊C₄	—	47	4	no	—
536	C₂×C₄⋊C₄	—	47	4	no	—
537	C₂×C₄⋊C₄	—	47	4	no	—
538	C₂×C₄⋊C₄	C₂²×D₄₇	1	4	yes	—
539	C₂×C₄⋊C₄	C₂²×D₄₇	1	4	yes	—
540	C₂×C₄⋊C₄	C₂²×D₄₇	1	16	yes	complemented
541	C₂×C₂²⋊C₄	—	47	2	no	—
542	C₂×C₂²⋊C₄	—	47	2	no	—
543	C₂×C₂²⋊C₄	—	47	2	no	—
544	C₂×C₂²⋊C₄	—	47	8	no	—
545	C₂×C₂²⋊C₄	—	47	2	no	—
546	C₂×C₂²⋊C₄	—	47	2	no	—
547	C₂×C₂²⋊C₄	—	47	8	no	—
548	C₂×C₂²⋊C₄	—	47	2	no	—
549	C₂×C₂²⋊C₄	—	47	4	no	—
550	C₂×C₂²⋊C₄	—	47	8	no	—
551	C₂×C₂²⋊C₄	—	47	16	no	—
552	C₂×C₂²⋊C₄	—	47	4	no	—
553	C₂×C₂²⋊C₄	—	47	4	no	—
554	C₂×C₂²⋊C₄	—	47	4	no	—
555	C₂×C₂²⋊C₄	—	47	4	no	—
556	C₂×C₂²⋊C₄	—	47	16	no	—
557	C₂×C₂²⋊C₄	—	47	4	no	—
558	C₂×C₂²⋊C₄	—	47	16	no	—
559	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
560	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
561	C₂×C₂²⋊C₄	C₂²×D₄₇	1	8	yes	—
562	C₂×C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
563	C₂×C₂²⋊C₄	C₂²×D₄₇	1	4	yes	—
564	C₂×C₂²⋊C₄	C₂²×D₄₇	1	16	yes	complemented
565	C₂×C₄²	—	47	4	no	—
566	C₂×C₄²	—	47	4	no	—
567	C₂×C₄²	—	47	4	no	—
568	C₂×C₄²	—	47	4	no	—
569	C₂×C₄²	—	47	16	no	—
570	C₂⁴	—	2	4	no	—
571	C₂⁴	—	4	4	no	—
572	C₂⁴	—	4	4	no	—
573	C₂⁴	—	47	2	no	—
574	C₂⁴	—	47	4	no	—
575	C₂⁴	—	94	4	no	—
576	C₂⁴	—	188	4	no	—
577	C₂⁴	#10625352	1	8	yes	—
578	C₂⁴	C₂³×D₄₇	1	2	yes	—
579	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
580	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
581	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
582	C₂⁴	C₂³×D₄₇	1	4	yes	—
583	C₂⁴	C₂³×D₄₇	1	4	yes	—
584	C₂×Q₈	—	47	16	no	—
585	C₂×Q₈	—	188	8	no	—
586	C₂×D₄	—	2	8	no	—
587	C₂×D₄	—	2	8	no	—
588	C₂×D₄	—	2	32	no	—
589	C₂×D₄	—	47	8	no	—
590	C₂×D₄	—	47	8	no	—
591	C₂×D₄	—	47	16	no	—
592	C₂×D₄	—	94	32	no	—
593	C₂×D₄	—	94	8	no	—
594	C₂×D₄	—	94	8	no	—
595	C₂×D₄	—	188	8	no	—
596	C₂×D₄	C₂³×D₄₇	1	8	yes	—
597	C₂×D₄	C₂³×D₄₇	1	8	yes	—
598	C₂²×C₄	—	2	8	no	—
599	C₂²×C₄	—	2	8	no	—
600	C₂²×C₄	—	2	4	no	—
601	C₂²×C₄	—	2	4	no	—
602	C₂²×C₄	—	2	32	no	—
603	C₂²×C₄	—	2	4	no	—
604	C₂²×C₄	—	4	4	no	—
605	C₂²×C₄	—	47	4	no	—
606	C₂²×C₄	—	47	4	no	—
607	C₂²×C₄	—	47	4	no	—
608	C₂²×C₄	—	47	2	no	—
609	C₂²×C₄	—	47	4	no	—
610	C₂²×C₄	—	47	8	no	—
611	C₂²×C₄	—	47	8	no	—
612	C₂²×C₄	—	47	8	no	—
613	C₂²×C₄	—	47	16	no	—
614	C₂²×C₄	—	47	16	no	—
615	C₂²×C₄	—	94	4	no	—
616	C₂²×C₄	—	188	8	no	—
617	C₂²×C₄	—	188	4	no	—
618	C₂²×C₄	—	188	8	no	—
619	C₂²×C₄	—	188	4	no	—
620	C₂²×C₄	—	188	4	no	—
621	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
622	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
623	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
624	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
625	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
626	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
627	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
628	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
629	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
630	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
631	C₄⋊C₄	—	47	16	no	—
632	C₄⋊C₄	—	47	16	no	—
633	C₄⋊C₄	—	47	16	no	—
634	C₄⋊C₄	—	47	16	no	—
635	C₄⋊C₄	—	47	16	no	—
636	C₄⋊C₄	—	47	16	no	—
637	C₄⋊C₄	—	47	16	no	—
638	C₄⋊C₄	—	47	16	no	—
639	C₄⋊C₄	—	47	16	no	—
640	C₄⋊C₄	—	47	16	no	—
641	C₄⋊C₄	C₂³×D₄₇	1	16	yes	—
642	C₄⋊C₄	C₂³×D₄₇	1	16	yes	—
643	C₂²⋊C₄	—	47	8	no	—
644	C₂²⋊C₄	—	47	8	no	—
645	C₂²⋊C₄	—	47	8	no	—
646	C₂²⋊C₄	—	47	8	no	—
647	C₂²⋊C₄	—	47	8	no	—
648	C₂²⋊C₄	—	47	8	no	—
649	C₂²⋊C₄	—	47	16	no	—
650	C₂²⋊C₄	—	47	16	no	—
651	C₂²⋊C₄	—	47	16	no	—
652	C₂²⋊C₄	—	47	16	no	—
653	C₂²⋊C₄	—	47	16	no	—
654	C₂²⋊C₄	—	47	16	no	—
655	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
656	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
657	C₂²⋊C₄	C₂³×D₄₇	1	16	yes	—
658	C₂²⋊C₄	C₂³×D₄₇	1	16	yes	—
659	C₄²	—	47	16	no	—
660	C₄²	—	47	16	no	—
661	C₄²	—	47	16	no	—
662	C₄²	—	47	16	no	—
663	C₂³	—	2	4	no	—
664	C₂³	—	2	4	no	—
665	C₂³	—	2	4	no	—
666	C₂³	—	2	4	no	—
667	C₂³	—	2	8	no	—
668	C₂³	—	2	8	no	—
669	C₂³	—	4	16	no	—
670	C₂³	—	4	8	no	—
671	C₂³	—	4	8	no	—
672	C₂³	—	8	8	no	—
673	C₂³	—	47	4	no	—
674	C₂³	—	94	8	no	—
675	C₂³	—	94	4	no	—
676	C₂³	—	94	8	no	—
677	C₂³	—	376	8	no	—
678	C₂³	—	188	8	no	—
679	C₂³	C₂×#10625352	1	4	yes	—
680	C₂³	C₂×#10625352	1	4	yes	—
681	C₂³	C₂×#10625352	1	4	yes	—
682	C₂³	C₂×#10625352	1	16	yes	—
683	C₂³	C₂⁴×D₄₇	1	4	yes	—
684	C₂³	C₂⁴×D₄₇	1	2	yes	—
685	C₂³	C₂⁴×D₄₇	1	2	yes	—
686	C₂³	C₂⁴×D₄₇	1	2	yes	—
687	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
688	Q₈	—	188	16	no	—
689	D₄	—	2	16	no	—
690	D₄	—	2	16	no	—
691	D₄	—	94	16	no	—
692	D₄	—	94	16	no	—
693	D₄	—	188	16	no	—
694	C₂×C₄	—	2	16	no	—
695	C₂×C₄	—	2	16	no	—
696	C₂×C₄	—	2	8	no	—
697	C₂×C₄	—	2	8	no	—
698	C₂×C₄	—	2	4	no	—
699	C₂×C₄	—	2	4	no	—
700	C₂×C₄	—	2	8	no	—
701	C₂×C₄	—	2	4	no	—
702	C₂×C₄	—	2	8	no	—
703	C₂×C₄	—	4	8	no	—
704	C₂×C₄	—	47	8	no	—
705	C₂×C₄	—	47	8	no	—
706	C₂×C₄	—	47	4	no	—
707	C₂×C₄	—	47	8	no	—
708	C₂×C₄	—	94	8	no	—
709	C₂×C₄	—	94	4	no	—
710	C₂×C₄	—	94	8	no	—
711	C₂×C₄	—	94	8	no	—
712	C₂×C₄	—	94	8	no	—
713	C₂×C₄	—	188	16	no	—
714	C₂×C₄	—	188	8	no	—
715	C₂×C₄	—	188	16	no	—
716	C₂×C₄	—	188	8	no	—
717	C₂×C₄	—	188	8	no	—
718	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
719	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
720	C₂×C₄	C₂⁴×D₄₇	1	8	yes	—
721	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
722	C₂²	—	2	8	no	—
723	C₂²	—	2	8	no	—
724	C₂²	—	2	8	no	—
725	C₂²	—	2	4	no	—
726	C₂²	—	2	4	no	—
727	C₂²	—	2	4	no	—
728	C₂²	—	2	4	no	—
729	C₂²	—	2	8	no	—
730	C₂²	—	4	16	no	—
731	C₂²	—	4	8	no	—
732	C₂²	—	8	8	no	—
733	C₂²	—	94	4	no	—
734	C₂²	—	94	8	no	—
735	C₂²	—	376	8	no	—
736	C₂²	—	188	8	no	—
737	C₂²	C₂²×#10625352	1	4	yes	—
738	C₂²	C₂²×#10625352	1	4	yes	—
739	C₂²	C₂²×#10625352	1	4	yes	—
740	C₂²	C₂²×#10625352	1	2	yes	—
741	C₂²	#15689959	1	4	yes	—
742	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
743	C₄	—	2	4	no	—
744	C₄	—	2	4	no	—
745	C₄	—	2	4	no	—
746	C₄	—	2	8	no	—
747	C₄	—	94	4	no	—
748	C₄	—	94	8	no	—
749	C₄	—	94	8	no	—
750	C₄	—	94	8	no	—
751	C₂	—	2	4	no	—
752	C₂	—	2	4	no	—
753	C₂	—	2	4	no	—
754	C₂	—	4	4	no	—
755	C₂	—	188	4	no	—
756	C₂	#20257084	1	4	yes	direct product factor
757	C₂	C₂³×#10625352	1	1	yes	characteristic
758	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
prime radical	C₂×#15689682	C₂
hypercenter	C₂²×#123	D₄₇
hypocenter	C₄₇	C₂×#3491
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. #20257084	C₂	direct (N × H)
2. C₂×#15689810	C₂	semidirect
3. C₂×#15689808	C₂	semidirect
4. C₂×#15689799	C₂	semidirect
5. C₂×#15689796	C₂	semidirect
6. C₂×#15689749	C₂	semidirect
7. C₂×#15689717	C₂	semidirect
9. C₂×#15689650	C₂	semidirect
10. C₂²×#13094007	C₂	semidirect
11. C₂×#15689598	C₂	semidirect
12. C₂×#15689596	C₂	semidirect
13. C₂²×#13093983	C₂	semidirect
14. C₂²×#123×C₄₇	C₂	semidirect
16. #15689810	C₂²	semidirect
17. #15689808	C₂²	semidirect
18. #15689799	C₂²	semidirect
19. #15689796	C₂²	semidirect
20. #15689749	C₂²	semidirect
21. #15689717	C₂²	semidirect
23. #15689650	C₂²	semidirect
24. C₂×#13094019	C₂²	semidirect
25. C₂×#13094019	C₂²	semidirect
26. C₂×#13094017	C₂²	semidirect
27. C₂×#13094017	C₂²	semidirect
28. C₂×#13094015	C₂²	semidirect
29. C₂×#13094014	C₂²	semidirect
30. C₂×#13094014	C₂²	semidirect
31. C₂×#13094010	C₂²	semidirect
32. C₂×#13094008	C₂²	semidirect
35. C₂×#13094007	C₂²	semidirect
36. C₂×#13094007	C₂²	semidirect
37. C₂×#13094007	C₂²	semidirect
38. C₂×#13094006	C₂²	semidirect
40. C₂×#13094004	C₂²	semidirect
41. C₂×#13094003	C₂²	semidirect
42. C₂×#13094001	C₂²	semidirect
43. C₂×#13094001	C₂²	semidirect
44. C₂×#13094001	C₂²	semidirect
48. #15689598	C₂²	semidirect
49. #15689596	C₂²	semidirect
50. C₂×#13093989	C₂²	semidirect
52. C₂×D₄×Dic₄₇	C₂²	semidirect
54. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
55. C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
56. C₂×#13093983	C₂²	semidirect
57. C₂×#13093983	C₂²	semidirect
58. C₂×#13093983	C₂²	semidirect
59. C₂×#13093983	C₂²	semidirect
60. C₂×#13093982	C₂²	semidirect
61. C₂×#13093980	C₂²	semidirect
62. C₂×#13093980	C₂²	semidirect
63. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
64. C₂²×Dic₄₇⋊C₄	C₂²	semidirect
68. C₂²×C₂²⋊Dic₄₇	C₂²	semidirect
69. C₂²×(C₂×D₄₇)⋊C₄	C₂²	semidirect
70. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
71. C₂²×C₄×Dic₄₇	C₂²	semidirect
75. C₂×#123×C₄₇	C₂²	semidirect
76. C₂×#123×C₄₇	C₂²	semidirect
77. C₂×#123×C₄₇	C₂²	semidirect
78. C₂²×C₄⋊C₄×C₄₇	C₂²	semidirect
80. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
94. #13094019	C₂³	semidirect
95. #13094019	C₂³	semidirect
96. #13094017	C₂³	semidirect
97. #13094017	C₂³	semidirect
98. #13094015	C₂³	semidirect
99. #13094014	C₂³	semidirect
100. #13094014	C₂³	semidirect
101. #13094010	C₂³	semidirect
102. #13094008	C₂³	semidirect
105. #13094007	C₂³	semidirect
106. #13094007	C₂³	semidirect
107. #13094006	C₂³	semidirect
109. #13094004	C₂³	semidirect
110. #13094003	C₂³	semidirect
111. #13094001	C₂³	semidirect
112. #13094001	C₂³	semidirect
113. #13094001	C₂³	semidirect
117. #13093989	C₂³	semidirect
119. D₄×Dic₄₇	C₂³	semidirect
121. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
122. (C₂²⋊D₄₇)⋊C₄	C₂³	semidirect
123. #13093983	C₂³	semidirect
124. #13093983	C₂³	semidirect
125. #13093983	C₂³	semidirect
126. #13093982	C₂³	semidirect
127. #13093980	C₂³	semidirect
128. #13093980	C₂³	semidirect
133. C₂×C₄⋊Dic₄₇	C₂³	semidirect
140. C₂×Dic₄₇⋊C₄	C₂³	semidirect
152. C₂×C₂²⋊Dic₄₇	C₂³	semidirect
157. C₂×(C₂×D₄₇)⋊C₄	C₂³	semidirect
158. C₂²⋊C₄×D₄₇	C₂³	semidirect
163. C₂×C₄×Dic₄₇	C₂³	semidirect
179. #123×C₄₇	C₂³	semidirect
180. #123×C₄₇	C₂³	semidirect
183. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
189. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
382. C₂²×#123	D₄₇	semidirect
390. C₂×C₄₇	#3491	semidirect
422. C₂×#123	C₂×D₄₇	semidirect
423. C₂×#123	C₂×D₄₇	semidirect
424. C₂×#123	C₂×D₄₇	semidirect
450. C₂²×C₄⋊C₄	C₂×D₄₇	semidirect
458. C₂²×C₂²⋊C₄	C₂×D₄₇	semidirect
460. C₄₇	C₂×#3491	semidirect
504. #123	C₂²×D₄₇	semidirect
505. #123	C₂²×D₄₇	semidirect
540. C₂×C₄⋊C₄	C₂²×D₄₇	semidirect
564. C₂×C₂²⋊C₄	C₂²×D₄₇	semidirect
756. C₂	#20257084	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257084	2
C₂×#15689810	2
C₂×#15689808	2
C₂×#15689799	2
C₂×#15689796	2
C₂×#15689749	2
C₂×#15689717	2
C₂×#15689682	2
C₂×#15689650	2
C₂²×#13094007	2
C₂×#15689598	2
C₂×#15689596	2
C₂²×#13093983	2
C₂²×#123×C₄₇	2
C₂×#3491	47

Subgroups — C2×#20257084 #27124327

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257084 #27124327