Subgroups — C₂×#20257081 #27124329

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	#20257081	C₂	1	32	yes	maximal, direct product factor
2	C₂×#15689813	C₂	1	4	yes	maximal, complemented
3	C₂×#15689806	C₂	1	4	yes	maximal, complemented
4	C₂×#15689802	C₂	1	4	yes	maximal, complemented
5	C₂×#15689799	C₂	1	4	yes	maximal, complemented
6	C₂×#15689749	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15689715	C₂	1	4	yes	maximal, complemented
8	C₂×#15689682	C₂	1	1	yes	maximal, characteristic
9	C₂×#15689653	C₂	1	4	yes	maximal, complemented
10	C₂²×#13094008	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#13094005	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#15689596	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#13093980	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₄₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂³×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
16	C₂⁴×Dic₄₇	C₂²	1	1	yes	characteristic
17	#15689813	C₂²	1	64	yes	complemented
18	#15689806	C₂²	1	64	yes	complemented
19	#15689802	C₂²	1	64	yes	complemented
20	#15689799	C₂²	1	64	yes	complemented
21	#15689749	C₂²	1	16	yes	complemented
22	#15689715	C₂²	1	64	yes	complemented
23	#15689682	C₂²	1	16	yes	—
24	#15689653	C₂²	1	64	yes	complemented
25	C₂×#13094019	C₂²	1	4	yes	complemented
26	C₂×#13094018	C₂²	1	4	yes	complemented
27	C₂×#13094017	C₂²	1	4	yes	complemented
28	C₂×#13094017	C₂²	1	4	yes	complemented
29	C₂×#13094016	C₂²	1	4	yes	complemented
30	C₂×#13094014	C₂²	1	4	yes	complemented
31	C₂×#13094014	C₂²	1	4	yes	complemented
32	C₂×#13094010	C₂²	1	4	yes	complemented
33	C₂×#13094008	C₂²	1	4	yes	—
34	C₂×#13094008	C₂²	1	2	yes	complemented
35	C₂×#13094008	C₂²	1	2	yes	complemented
36	C₂×#13094008	C₂²	1	16	yes	complemented
37	C₂×#13094007	C₂²	1	2	yes	—
38	C₂×#13094007	C₂²	1	4	yes	complemented
39	C₂×#13094006	C₂²	1	4	yes	complemented
40	C₂×#13094005	C₂²	1	4	yes	—
41	C₂×#13094005	C₂²	1	2	yes	—
42	C₂×#13094005	C₂²	1	2	yes	complemented
43	C₂×#13094005	C₂²	1	2	yes	complemented
44	C₂×#13094005	C₂²	1	16	yes	complemented
45	C₂×#13094003	C₂²	1	4	yes	complemented
46	C₂×#13094003	C₂²	1	4	yes	complemented
47	C₂×#13094002	C₂²	1	4	yes	complemented
48	C₂×#13094001	C₂²	1	4	yes	complemented
49	C₂×#13094001	C₂²	1	4	yes	complemented
50	C₂×#13093996	C₂²	1	4	yes	—
51	C₂×#13093993	C₂²	1	2	yes	—
52	C₂×#13093992	C₂²	1	2	yes	—
53	#15689596	C₂²	1	16	yes	complemented
54	C₂×C₄×Dic₉₄	C₂²	1	4	yes	complemented
55	C₂×C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
56	C₂×C₄×C₂²⋊D₄₇	C₂²	1	4	yes	complemented
57	C₂×(C₂²⋊D₄₇)⋊C₄	C₂²	1	4	yes	—
58	C₂×#13093983	C₂²	1	4	yes	complemented
59	C₂×#13093981	C₂²	1	4	yes	complemented
60	C₂×#13093980	C₂²	1	4	yes	complemented
61	C₂×#13093980	C₂²	1	4	yes	complemented
62	C₂×#13093980	C₂²	1	2	yes	complemented
63	C₂×#13093980	C₂²	1	16	yes	complemented
64	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
65	C₂²×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
66	C₂²×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
67	C₂²×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
68	C₂²×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
69	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	complemented
70	C₂²×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	complemented
71	C₂×C₂²⋊C₄×D₄₇	C₂²	1	2	yes	complemented
72	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	complemented
73	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
74	C₄₇×#518	C₂²	1	16	yes	complemented
75	C₂×C₄×D₄×C₄₇	C₂²	1	4	yes	—
76	C₂×C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
77	C₂×#117×C₄₇	C₂²	1	2	yes	complemented
78	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
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	—	2	8	no	—
89	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
90	C₂³×Dic₄₇	C₂³	1	2	yes	—
91	C₂³×Dic₄₇	C₂³	1	2	yes	—
92	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
93	C₂³×Dic₄₇	C₂³	1	1	yes	characteristic
94	C₂³×Dic₄₇	C₂³	1	8	yes	—
95	C₂³×Dic₄₇	C₂³	1	2	yes	—
96	C₂³×Dic₄₇	C₂³	1	2	yes	—
97	C₂²×C₄×D₄₇	C₂³	1	4	yes	—
98	#13094019	C₂³	1	32	yes	complemented
99	#13094018	C₂³	1	32	yes	complemented
100	#13094017	C₂³	1	32	yes	complemented
101	#13094017	C₂³	1	32	yes	complemented
102	#13094016	C₂³	1	32	yes	complemented
103	#13094014	C₂³	1	32	yes	complemented
104	#13094014	C₂³	1	32	yes	complemented
105	#13094010	C₂³	1	32	yes	complemented
106	#13094008	C₂³	1	32	yes	—
107	#13094008	C₂³	1	16	yes	complemented
108	#13094008	C₂³	1	16	yes	complemented
109	#13094007	C₂³	1	16	yes	—
110	#13094007	C₂³	1	32	yes	complemented
111	#13094006	C₂³	1	32	yes	complemented
112	#13094005	C₂³	1	32	yes	—
113	#13094005	C₂³	1	16	yes	—
114	#13094005	C₂³	1	16	yes	complemented
115	#13094005	C₂³	1	16	yes	complemented
116	#13094003	C₂³	1	32	yes	complemented
117	#13094003	C₂³	1	32	yes	complemented
118	#13094002	C₂³	1	32	yes	complemented
119	#13094001	C₂³	1	32	yes	complemented
120	#13094001	C₂³	1	32	yes	complemented
121	#13093996	C₂³	1	32	yes	—
122	#13093993	C₂³	1	16	yes	—
123	#13093992	C₂³	1	16	yes	—
124	C₄×Dic₉₄	C₂³	1	32	yes	complemented
125	C₄×C₂²⋊D₄₇	C₂³	1	32	yes	complemented
126	C₄×C₂²⋊D₄₇	C₂³	1	32	yes	complemented
127	(C₂²⋊D₄₇)⋊C₄	C₂³	1	32	yes	—
128	#13093983	C₂³	1	32	yes	complemented
129	#13093981	C₂³	1	32	yes	complemented
130	#13093980	C₂³	1	32	yes	complemented
131	#13093980	C₂³	1	32	yes	complemented
132	#13093980	C₂³	1	16	yes	complemented
133	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
134	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
135	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
136	C₂×C₄⋊Dic₄₇	C₂³	1	16	yes	complemented
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	4	yes	—
141	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
142	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
143	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
144	C₂×Dic₄₇⋊C₄	C₂³	1	4	yes	—
145	C₂×Dic₄₇⋊C₄	C₂³	1	16	yes	complemented
146	C₂×Dic₄₇⋊C₄	C₂³	1	16	yes	complemented
147	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
148	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
149	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
150	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
151	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
152	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
153	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
154	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
155	C₂×C₂²⋊Dic₄₇	C₂³	1	4	yes	—
156	C₂×C₂²⋊Dic₄₇	C₂³	1	16	yes	complemented
157	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
158	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
159	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
160	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
161	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	16	yes	complemented
162	C₂²⋊C₄×D₄₇	C₂³	1	16	yes	complemented
163	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
164	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
165	C₂×C₄×Dic₄₇	C₂³	1	4	yes	—
166	C₂×C₄×Dic₄₇	C₂³	1	16	yes	complemented
167	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
168	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
169	C₂²×D₄×C₄₇	—	2	8	no	—
170	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
171	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
172	C₂²×D₄×C₄₇	C₂³	1	8	yes	—
173	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
174	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
175	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
176	C₂³×C₄×C₄₇	C₂³	1	4	yes	—
177	C₄×D₄×C₄₇	C₂³	1	32	yes	—
178	C₄×D₄×C₄₇	C₂³	1	32	yes	complemented
179	#117×C₄₇	C₂³	1	16	yes	complemented
180	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	—
181	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
182	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
187	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
188	C₂×C₂²⋊C₄×C₄₇	C₂³	1	16	yes	complemented
189	C₂×C₄²×C₄₇	C₂³	1	4	yes	—
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	4	no	—
210	C₂²×C₄×C₄₇	—	4	4	no	—
211	C₂²×C₄×C₄₇	—	4	8	no	—
212	C₂²×C₄×C₄₇	—	4	4	no	—
213	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
215	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
216	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
217	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
218	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
219	C₂²×C₄×C₄₇	C₂⁴	1	16	yes	—
220	C₂×C₂²⋊D₄₇	—	2	8	no	—
221	C₂×C₂²⋊D₄₇	—	2	8	no	—
222	C₂×C₂²⋊D₄₇	—	2	32	no	—
223	C₂×C₂²⋊D₄₇	—	4	8	no	—
224	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
225	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
226	C₂×C₂²⋊D₄₇	C₂⁴	1	16	yes	—
227	C₂²×Dic₄₇	—	2	8	no	—
228	C₂²×Dic₄₇	—	2	8	no	—
229	C₂²×Dic₄₇	—	2	4	no	—
230	C₂²×Dic₄₇	—	2	4	no	—
231	C₂²×Dic₄₇	—	2	32	no	—
232	C₂²×Dic₄₇	—	2	4	no	—
233	C₂²×Dic₄₇	—	4	4	no	—
234	C₂²×Dic₄₇	—	4	4	no	—
235	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
236	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
237	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
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	8	yes	—
242	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
243	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
244	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
245	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
246	C₂²×Dic₄₇	C₂⁴	1	8	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	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
253	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
254	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
255	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
256	C₂²⋊C₄×C₄₇	C₂⁴	1	16	yes	—
257	C₄²×C₄₇	C₂⁴	1	16	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	16	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	Dic₄₇⋊C₄	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	Dic₄₇⋊C₄	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	8	no	—
311	C₂×C₄×C₄₇	—	2	4	no	—
312	C₂×C₄×C₄₇	—	2	8	no	—
313	C₂×C₄×C₄₇	—	2	8	no	—
314	C₂×C₄×C₄₇	—	4	8	no	—
315	C₂×C₄×C₄₇	—	4	16	no	—
316	C₂×C₄×C₄₇	—	4	8	no	—
317	C₂×C₄×C₄₇	C₂⁵	1	8	yes	—
318	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
319	C₂×C₄×C₄₇	C₂⁵	1	8	yes	—
320	C₂²⋊D₄₇	—	2	16	no	—
321	C₂²⋊D₄₇	—	2	16	no	—
322	C₂²⋊D₄₇	—	4	16	no	—
323	C₂×Dic₄₇	—	2	16	no	—
324	C₂×Dic₄₇	—	2	16	no	—
325	C₂×Dic₄₇	—	2	8	no	—
326	C₂×Dic₄₇	—	2	8	no	—
327	C₂×Dic₄₇	—	2	4	no	—
328	C₂×Dic₄₇	—	2	4	no	—
329	C₂×Dic₄₇	—	2	8	no	—
330	C₂×Dic₄₇	—	2	4	no	—
331	C₂×Dic₄₇	—	2	8	no	—
332	C₂×Dic₄₇	—	2	8	no	—
333	C₂×Dic₄₇	—	4	8	no	—
334	C₂×Dic₄₇	—	4	8	no	—
335	C₂×Dic₄₇	C₂⁵	1	4	yes	—
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	4	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	8	no	—
366	C₄×C₄₇	—	2	8	no	—
367	Dic₄₇	—	2	4	no	—
368	Dic₄₇	—	2	4	no	—
369	Dic₄₇	—	2	4	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	—	47	1	no	—
383	C₂×#518	—	47	1	no	—
384	C₂×#518	D₄₇	1	1	yes	characteristic, complemented
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	—	47	1	no	—
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	4	no	—
416	C₂×#123	—	47	16	no	—
417	C₂×#123	—	47	2	no	—
418	C₂×#123	—	47	2	no	—
419	C₂×#123	—	47	4	no	—
420	C₂×#123	—	47	2	no	—
421	C₂×#123	—	47	2	no	—
422	C₂×#123	—	47	4	no	—
423	C₂×#123	—	47	16	no	—
424	C₂×#123	—	47	4	no	—
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	C₂×D₄₇	1	16	yes	complemented
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	C₂×D₄₇	1	4	yes	—
440	C₂×C₄×D₄	C₂×D₄₇	1	4	yes	complemented
441	C₂×#117	—	47	4	no	—
442	C₂×#117	—	47	4	no	—
443	C₂×#117	—	47	4	no	—
444	C₂×#117	—	47	16	no	—
445	C₂×#117	—	47	2	no	—
446	C₂×#117	—	47	4	no	—
447	C₂×#117	C₂×D₄₇	1	2	yes	complemented
448	C₂²×C₄⋊C₄	—	47	2	no	—
449	C₂²×C₄⋊C₄	—	47	2	no	—
450	C₂²×C₄⋊C₄	—	47	2	no	—
451	C₂²×C₂²⋊C₄	—	47	1	no	—
452	C₂²×C₂²⋊C₄	—	47	1	no	—
453	C₂²×C₂²⋊C₄	—	47	2	no	—
454	C₂²×C₂²⋊C₄	—	47	2	no	—
455	C₂²×C₂²⋊C₄	—	47	2	no	—
456	C₂²×C₂²⋊C₄	C₂×D₄₇	1	1	yes	characteristic
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	—	47	2	no	—
475	C₂³×C₄	—	47	2	no	—
476	C₂³×C₄	—	47	1	no	—
477	C₂³×C₄	—	47	1	no	—
478	C₂³×C₄	—	47	8	no	—
479	C₂³×C₄	—	47	1	no	—
480	C₂³×C₄	—	47	2	no	—
481	C₂³×C₄	—	47	2	no	—
482	C₂³×C₄	—	47	4	no	—
483	C₂³×C₄	—	94	8	no	—
484	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
485	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
486	C₂³×C₄	C₂²×D₄₇	1	2	yes	—
487	C₂³×C₄	C₂²×D₄₇	1	4	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	32	no	—
499	#123	—	47	16	no	—
500	#123	—	47	16	no	—
501	#123	—	47	32	no	—
502	#123	—	47	16	no	—
503	#123	—	47	16	no	—
504	#123	—	47	32	no	—
505	#123	—	47	32	no	—
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	C₂²×D₄₇	1	32	yes	—
519	C₄×D₄	C₂²×D₄₇	1	32	yes	complemented
520	#117	—	47	32	no	—
521	#117	—	47	32	no	—
522	#117	—	47	32	no	—
523	#117	—	47	16	no	—
524	#117	—	47	32	no	—
525	#117	C₂²×D₄₇	1	16	yes	complemented
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	4	no	—
532	C₂×C₄⋊C₄	—	47	4	no	—
533	C₂×C₄⋊C₄	—	47	16	no	—
534	C₂×C₄⋊C₄	—	47	16	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	—	47	4	no	—
539	C₂×C₄⋊C₄	—	47	4	no	—
540	C₂×C₄⋊C₄	C₂²×D₄₇	1	4	yes	—
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	4	no	—
546	C₂×C₂²⋊C₄	—	47	2	no	—
547	C₂×C₂²⋊C₄	—	47	8	no	—
548	C₂×C₂²⋊C₄	—	47	4	no	—
549	C₂×C₂²⋊C₄	—	47	16	no	—
550	C₂×C₂²⋊C₄	—	47	4	no	—
551	C₂×C₂²⋊C₄	—	47	4	no	—
552	C₂×C₂²⋊C₄	—	47	4	no	—
553	C₂×C₂²⋊C₄	—	47	4	no	—
554	C₂×C₂²⋊C₄	—	47	16	no	—
555	C₂×C₂²⋊C₄	—	47	4	no	—
556	C₂×C₂²⋊C₄	—	47	16	no	—
557	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
558	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
559	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
560	C₂×C₂²⋊C₄	C₂²×D₄₇	1	8	yes	—
561	C₂×C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
562	C₂×C₂²⋊C₄	C₂²×D₄₇	1	8	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	16	no	—
569	C₂×C₄²	C₂²×D₄₇	1	4	yes	—
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	#10625350	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	4	no	—
599	C₂²×C₄	—	4	4	no	—
600	C₂²×C₄	—	4	8	no	—
601	C₂²×C₄	—	4	4	no	—
602	C₂²×C₄	—	47	4	no	—
603	C₂²×C₄	—	47	8	no	—
604	C₂²×C₄	—	47	8	no	—
605	C₂²×C₄	—	47	4	no	—
606	C₂²×C₄	—	47	4	no	—
607	C₂²×C₄	—	47	2	no	—
608	C₂²×C₄	—	47	4	no	—
609	C₂²×C₄	—	47	2	no	—
610	C₂²×C₄	—	47	4	no	—
611	C₂²×C₄	—	47	2	no	—
612	C₂²×C₄	—	47	8	no	—
613	C₂²×C₄	—	47	8	no	—
614	C₂²×C₄	—	47	16	no	—
615	C₂²×C₄	—	94	8	no	—
616	C₂²×C₄	—	94	8	no	—
617	C₂²×C₄	—	94	4	no	—
618	C₂²×C₄	—	94	4	no	—
619	C₂²×C₄	—	94	32	no	—
620	C₂²×C₄	—	94	4	no	—
621	C₂²×C₄	—	188	8	no	—
622	C₂²×C₄	—	188	4	no	—
623	C₂²×C₄	—	188	4	no	—
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	4	yes	—
628	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
629	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
630	C₂²×C₄	C₂³×D₄₇	1	16	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	—	47	16	no	—
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	16	no	—
647	C₂²⋊C₄	—	47	8	no	—
648	C₂²⋊C₄	—	47	16	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	C₂³×D₄₇	1	8	yes	—
655	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
656	C₂²⋊C₄	C₂³×D₄₇	1	8	yes	—
657	C₂²⋊C₄	C₂³×D₄₇	1	8	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	C₂³×D₄₇	1	16	yes	—
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×#10625350	1	4	yes	—
680	C₂³	C₂×#10625350	1	4	yes	—
681	C₂³	C₂×#10625350	1	4	yes	—
682	C₂³	C₂×#10625350	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	8	no	—
695	C₂×C₄	—	2	4	no	—
696	C₂×C₄	—	2	8	no	—
697	C₂×C₄	—	2	8	no	—
698	C₂×C₄	—	4	8	no	—
699	C₂×C₄	—	4	16	no	—
700	C₂×C₄	—	4	8	no	—
701	C₂×C₄	—	47	4	no	—
702	C₂×C₄	—	47	8	no	—
703	C₂×C₄	—	47	4	no	—
704	C₂×C₄	—	47	8	no	—
705	C₂×C₄	—	47	4	no	—
706	C₂×C₄	—	94	16	no	—
707	C₂×C₄	—	94	16	no	—
708	C₂×C₄	—	94	8	no	—
709	C₂×C₄	—	94	8	no	—
710	C₂×C₄	—	94	4	no	—
711	C₂×C₄	—	94	4	no	—
712	C₂×C₄	—	94	8	no	—
713	C₂×C₄	—	94	4	no	—
714	C₂×C₄	—	94	8	no	—
715	C₂×C₄	—	94	8	no	—
716	C₂×C₄	—	188	16	no	—
717	C₂×C₄	—	188	8	no	—
718	C₂×C₄	—	188	8	no	—
719	C₂×C₄	C₂⁴×D₄₇	1	8	yes	—
720	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
721	C₂×C₄	C₂⁴×D₄₇	1	8	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×#10625350	1	4	yes	—
738	C₂²	C₂²×#10625350	1	4	yes	—
739	C₂²	C₂²×#10625350	1	4	yes	—
740	C₂²	C₂²×#10625350	1	2	yes	—
741	C₂²	#15689958	1	4	yes	—
742	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
743	C₄	—	2	4	no	—
744	C₄	—	2	8	no	—
745	C₄	—	2	8	no	—
746	C₄	—	94	4	no	—
747	C₄	—	94	4	no	—
748	C₄	—	94	4	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	#20257081	1	4	yes	direct product factor
757	C₂	C₂³×#10625350	1	1	yes	characteristic
758	C₂	C₂×#15689958	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₄₇
commutator, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₂×C₄₇×#518	C₂
socle	C₂³×C₄₇	C₂⁵
prime radical	C₂×#15689682	C₂
hypercenter	C₂×#518	D₄₇
hypocenter	C₄₇	C₂×#3491
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#518

Complements

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

N	H ≅ G/N	type
1. #20257081	C₂	direct (N × H)
2. C₂×#15689813	C₂	semidirect
3. C₂×#15689806	C₂	semidirect
4. C₂×#15689802	C₂	semidirect
5. C₂×#15689799	C₂	semidirect
6. C₂×#15689749	C₂	semidirect
7. C₂×#15689715	C₂	semidirect
9. C₂×#15689653	C₂	semidirect
10. C₂²×#13094008	C₂	semidirect
11. C₂²×#13094005	C₂	semidirect
12. C₂×#15689596	C₂	semidirect
13. C₂²×#13093980	C₂	semidirect
14. C₂×C₄₇×#518	C₂	semidirect
17. #15689813	C₂²	semidirect
18. #15689806	C₂²	semidirect
19. #15689802	C₂²	semidirect
20. #15689799	C₂²	semidirect
21. #15689749	C₂²	semidirect
22. #15689715	C₂²	semidirect
24. #15689653	C₂²	semidirect
25. C₂×#13094019	C₂²	semidirect
26. C₂×#13094018	C₂²	semidirect
27. C₂×#13094017	C₂²	semidirect
28. C₂×#13094017	C₂²	semidirect
29. C₂×#13094016	C₂²	semidirect
30. C₂×#13094014	C₂²	semidirect
31. C₂×#13094014	C₂²	semidirect
32. C₂×#13094010	C₂²	semidirect
34. C₂×#13094008	C₂²	semidirect
35. C₂×#13094008	C₂²	semidirect
36. C₂×#13094008	C₂²	semidirect
38. C₂×#13094007	C₂²	semidirect
39. C₂×#13094006	C₂²	semidirect
42. C₂×#13094005	C₂²	semidirect
43. C₂×#13094005	C₂²	semidirect
44. C₂×#13094005	C₂²	semidirect
45. C₂×#13094003	C₂²	semidirect
46. C₂×#13094003	C₂²	semidirect
47. C₂×#13094002	C₂²	semidirect
48. C₂×#13094001	C₂²	semidirect
49. C₂×#13094001	C₂²	semidirect
53. #15689596	C₂²	semidirect
54. C₂×C₄×Dic₉₄	C₂²	semidirect
55. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
56. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
58. C₂×#13093983	C₂²	semidirect
59. C₂×#13093981	C₂²	semidirect
60. C₂×#13093980	C₂²	semidirect
61. C₂×#13093980	C₂²	semidirect
62. C₂×#13093980	C₂²	semidirect
63. C₂×#13093980	C₂²	semidirect
64. C₂²×C₄⋊Dic₄₇	C₂²	semidirect
65. C₂²×Dic₄₇⋊C₄	C₂²	semidirect
66. C₂²×Dic₄₇⋊C₄	C₂²	semidirect
69. C₂²×C₂²⋊Dic₄₇	C₂²	semidirect
70. C₂²×(C₂×D₄₇)⋊C₄	C₂²	semidirect
71. C₂×C₂²⋊C₄×D₄₇	C₂²	semidirect
72. C₂²×C₄×Dic₄₇	C₂²	semidirect
74. C₄₇×#518	C₂²	semidirect
76. C₂×C₄×D₄×C₄₇	C₂²	semidirect
77. C₂×#117×C₄₇	C₂²	semidirect
80. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
98. #13094019	C₂³	semidirect
99. #13094018	C₂³	semidirect
100. #13094017	C₂³	semidirect
101. #13094017	C₂³	semidirect
102. #13094016	C₂³	semidirect
103. #13094014	C₂³	semidirect
104. #13094014	C₂³	semidirect
105. #13094010	C₂³	semidirect
107. #13094008	C₂³	semidirect
108. #13094008	C₂³	semidirect
110. #13094007	C₂³	semidirect
111. #13094006	C₂³	semidirect
114. #13094005	C₂³	semidirect
115. #13094005	C₂³	semidirect
116. #13094003	C₂³	semidirect
117. #13094003	C₂³	semidirect
118. #13094002	C₂³	semidirect
119. #13094001	C₂³	semidirect
120. #13094001	C₂³	semidirect
124. C₄×Dic₉₄	C₂³	semidirect
125. C₄×C₂²⋊D₄₇	C₂³	semidirect
126. C₄×C₂²⋊D₄₇	C₂³	semidirect
128. #13093983	C₂³	semidirect
129. #13093981	C₂³	semidirect
130. #13093980	C₂³	semidirect
131. #13093980	C₂³	semidirect
132. #13093980	C₂³	semidirect
136. C₂×C₄⋊Dic₄₇	C₂³	semidirect
145. C₂×Dic₄₇⋊C₄	C₂³	semidirect
146. C₂×Dic₄₇⋊C₄	C₂³	semidirect
156. C₂×C₂²⋊Dic₄₇	C₂³	semidirect
161. C₂×(C₂×D₄₇)⋊C₄	C₂³	semidirect
162. C₂²⋊C₄×D₄₇	C₂³	semidirect
166. C₂×C₄×Dic₄₇	C₂³	semidirect
178. C₄×D₄×C₄₇	C₂³	semidirect
179. #117×C₄₇	C₂³	semidirect
188. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
384. C₂×#518	D₄₇	semidirect
390. C₂×C₄₇	#3491	semidirect
434. #518	C₂×D₄₇	semidirect
440. C₂×C₄×D₄	C₂×D₄₇	semidirect
447. C₂×#117	C₂×D₄₇	semidirect
458. C₂²×C₂²⋊C₄	C₂×D₄₇	semidirect
460. C₄₇	C₂×#3491	semidirect
519. C₄×D₄	C₂²×D₄₇	semidirect
525. #117	C₂²×D₄₇	semidirect
564. C₂×C₂²⋊C₄	C₂²×D₄₇	semidirect
756. C₂	#20257081	direct (N × H)

Maximal subgroups

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

subgroup	index
#20257081	2
C₂×#15689813	2
C₂×#15689806	2
C₂×#15689802	2
C₂×#15689799	2
C₂×#15689749	2
C₂×#15689715	2
C₂×#15689682	2
C₂×#15689653	2
C₂²×#13094008	2
C₂²×#13094005	2
C₂×#15689596	2
C₂²×#13093980	2
C₂×C₄₇×#518	2
C₂×#3491	47

Subgroups — C2×#20257081 #27124329

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20257081 #27124329