Subgroups — C₂×#20245872 #26374661

Order 12032.

3854 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13093983	C₂	1	1	yes	maximal, characteristic
2	C₂³×C₄×Dic₄₇	C₂	1	1	yes	maximal, characteristic
3	#20245872	C₂	1	16	yes	maximal, direct product factor
4	C₂×#15689022	C₂	1	4	yes	maximal, complemented
5	C₂×#15688998	C₂	1	4	yes	maximal
6	C₂×C₄×C₄⋊Dic₄₇	C₂	1	4	yes	maximal, complemented
7	C₂²×#117×C₄₇	C₂	1	1	yes	maximal, characteristic
8	C₂⁴×Dic₄₇	C₂²	1	2	yes	—
9	C₂×#13093983	—	2	8	no	—
10	C₂×#13093983	C₂²	1	8	yes	—
11	C₂²×C₄⋊Dic₄₇	C₂²	1	8	yes	—
12	C₂²×C₄⋊Dic₄₇	C₂²	1	2	yes	—
13	C₂²×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
14	C₂²×C₄×Dic₄₇	—	2	8	no	—
15	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	—
16	C₂²×C₄×Dic₄₇	C₂²	1	8	yes	—
17	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	—
18	C₂²×C₄×Dic₄₇	C₂²	1	2	yes	—
19	#15689022	C₂²	1	32	yes	complemented
20	#15688998	C₂²	1	32	yes	—
21	C₄×C₄⋊Dic₄₇	C₂²	1	32	yes	complemented
22	C₂×C₄₇⋊#95	C₂²	1	8	yes	—
23	C₂⁴×C₄×C₄₇	C₂²	1	1	yes	characteristic
24	C₂×#117×C₄₇	C₄	1	16	yes	complemented
25	C₂×#117×C₄₇	C₂²	1	8	yes	—
26	C₂²×C₄⋊C₄×C₄₇	C₂²	1	2	yes	—
27	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	—
28	C₂²×C₄²×C₄₇	C₂²	1	2	yes	—
29	C₂³×Dic₄₇	—	2	8	no	—
30	C₂³×Dic₄₇	—	2	16	no	—
31	C₂³×Dic₄₇	C₂³	1	4	yes	—
32	C₂³×Dic₄₇	C₂³	1	8	yes	—
33	C₂³×Dic₄₇	C₂³	1	4	yes	—
34	#13093983	—	2	32	no	—
35	C₂×C₄⋊Dic₄₇	—	2	8	no	—
36	C₂×C₄⋊Dic₄₇	—	2	32	no	—
37	C₂×C₄⋊Dic₄₇	C₂³	1	32	yes	—
38	C₂×C₄⋊Dic₄₇	C₂³	1	8	yes	—
39	C₂×C₂²⋊Dic₄₇	—	2	8	no	—
40	C₂×C₂²⋊Dic₄₇	C₂³	1	8	yes	—
41	C₂×C₄×Dic₄₇	—	2	8	no	—
42	C₂×C₄×Dic₄₇	—	2	8	no	—
43	C₂×C₄×Dic₄₇	—	2	32	no	—
44	C₂×C₄×Dic₄₇	—	2	8	no	—
45	C₂×C₄×Dic₄₇	C₂³	1	8	yes	—
46	C₂×C₄×Dic₄₇	C₂³	1	8	yes	—
47	C₂×C₄×Dic₄₇	C₂³	1	8	yes	—
48	C₄₇⋊#95	C₂³	1	32	yes	—
49	C₂⁵×C₄₇	C₂³	1	1	yes	characteristic
50	C₂³×C₄×C₄₇	C₂×C₄	1	8	yes	—
51	C₂³×C₄×C₄₇	D₄	1	8	yes	—
52	C₂³×C₄×C₄₇	Q₈	1	8	yes	—
53	C₂³×C₄×C₄₇	C₂³	1	4	yes	—
54	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
55	C₂³×C₄×C₄₇	C₂³	1	4	yes	—
56	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
57	#117×C₄₇	C₂×C₄	1	64	yes	complemented
58	C₂×C₄⋊C₄×C₄₇	C₂×C₄	1	16	yes	complemented
59	C₂×C₄⋊C₄×C₄₇	C₂³	1	8	yes	—
60	C₂×C₂²⋊C₄×C₄₇	C₂×C₄	1	16	yes	—
61	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
62	C₂×C₄²×C₄₇	C₂×C₄	1	16	yes	complemented
63	C₂×C₄²×C₄₇	C₂³	1	8	yes	—
64	C₂⁴×C₄₇	—	2	8	no	—
65	C₂⁴×C₄₇	C₂²×C₄	1	4	yes	—
66	C₂⁴×C₄₇	C₂×D₄	1	4	yes	—
67	C₂⁴×C₄₇	C₂×Q₈	1	4	yes	—
68	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
69	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
70	C₂²×C₄×C₄₇	—	2	16	no	—
71	C₂²×C₄×C₄₇	C₄⋊C₄	1	64	yes	complemented
72	C₂²×C₄×C₄₇	C₂²×C₄	1	16	yes	—
73	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
74	C₂²×C₄×C₄₇	C₂²×C₄	1	4	yes	—
75	C₂²×C₄×C₄₇	C₂²×C₄	1	16	yes	—
76	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
77	C₂²×C₄×C₄₇	C₂×D₄	1	4	yes	—
78	C₂²×C₄×C₄₇	C₂×D₄	1	16	yes	—
79	C₂²×C₄×C₄₇	C₂×Q₈	1	4	yes	—
80	C₂²×C₄×C₄₇	C₂×Q₈	1	4	yes	—
81	C₂²×C₄×C₄₇	C₂×Q₈	1	16	yes	—
82	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
83	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
84	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
85	C₂²×Dic₄₇	—	2	64	no	—
86	C₂²×Dic₄₇	—	2	16	no	—
87	C₂²×Dic₄₇	—	2	8	no	—
88	C₂²×Dic₄₇	—	2	8	no	—
89	C₂²×Dic₄₇	—	2	32	no	—
90	C₂²×Dic₄₇	—	2	8	no	—
91	C₂²×Dic₄₇	—	2	16	no	—
92	C₂²×Dic₄₇	#41	1	16	yes	—
93	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
94	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
95	C₄⋊C₄×C₄₇	C₂²×C₄	1	32	yes	complemented
96	C₂²⋊C₄×C₄₇	C₂²×C₄	1	32	yes	—
97	C₄²×C₄₇	C₂²×C₄	1	32	yes	complemented
98	C₂²⋊Dic₄₇	—	2	16	no	—
99	C₄⋊Dic₄₇	—	2	16	no	—
100	C₄⋊Dic₄₇	—	2	64	no	—
101	C₄×Dic₄₇	—	2	16	no	—
102	C₄×Dic₄₇	—	2	16	no	—
103	C₄×Dic₄₇	—	2	16	no	—
104	C₂³×C₄₇	—	2	16	no	—
105	C₂³×C₄₇	—	2	16	no	—
106	C₂³×C₄₇	—	2	16	no	—
107	C₂³×C₄₇	—	2	8	no	—
108	C₂³×C₄₇	C₂×C₄⋊C₄	1	16	yes	—
109	C₂³×C₄₇	C₂³×C₄	1	4	yes	—
110	C₂³×C₄₇	C₂³×C₄	1	2	yes	—
111	C₂³×C₄₇	C₂²×D₄	1	4	yes	—
112	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
113	C₂³×C₄₇	C₂²×Q₈	1	4	yes	—
114	C₂³×C₄₇	C₂²×Q₈	1	2	yes	—
115	C₂³×C₄₇	C₂×#41	1	8	yes	—
116	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
117	C₂×C₄×C₄₇	—	2	32	no	—
118	C₂×C₄×C₄₇	—	2	16	no	—
119	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	16	yes	—
120	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	16	yes	—
121	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	64	yes	complemented
122	C₂×C₄×C₄₇	C₂³×C₄	1	16	yes	—
123	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
124	C₂×C₄×C₄₇	C₂³×C₄	1	4	yes	—
125	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
126	C₂×C₄×C₄₇	C₂²×D₄	1	4	yes	—
127	C₂×C₄×C₄₇	C₂²×Q₈	1	4	yes	—
128	C₂×C₄×C₄₇	C₂²×Q₈	1	4	yes	—
129	C₂×Dic₄₇	—	2	64	no	—
130	C₂×Dic₄₇	—	2	32	no	—
131	C₂×Dic₄₇	—	2	8	no	—
132	C₂×Dic₄₇	—	2	8	no	—
133	C₂×Dic₄₇	—	2	8	no	—
134	C₂×Dic₄₇	—	2	16	no	—
135	C₂×Dic₄₇	—	4	16	no	—
136	C₂×Dic₄₇	C₂×#41	1	16	yes	—
137	C₂×#2296	—	47	1	no	maximal, Sylow
138	C₂²×C₄₇	—	2	8	no	—
139	C₂²×C₄₇	—	2	8	no	—
140	C₂²×C₄₇	—	2	8	no	—
141	C₂²×C₄₇	—	2	32	no	—
142	C₂²×C₄₇	C₂²×C₄⋊C₄	1	8	yes	—
143	C₂²×C₄₇	C₂²×C₄⋊C₄	1	4	yes	—
144	C₂²×C₄₇	C₄×#41	1	8	yes	—
145	C₂²×C₄₇	#525	1	8	yes	—
146	C₂²×C₄₇	#533	1	8	yes	—
147	C₂²×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
148	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
149	C₂²×C₄₇	C₂³×Q₈	1	1	yes	characteristic
150	C₂²×C₄₇	C₂²×#41	1	4	yes	—
151	C₄×C₄₇	—	2	16	no	—
152	C₄×C₄₇	C₂²×C₄⋊C₄	1	8	yes	—
153	C₄×C₄₇	C₂²×C₄⋊C₄	1	8	yes	—
154	Dic₄₇	—	2	16	no	—
155	Dic₄₇	—	4	8	no	—
156	C₂²×#117	—	47	1	no	—
157	C₂²×#117	D₄₇	1	1	yes	characteristic
158	C₂³×C₄²	—	47	1	no	—
159	#2296	—	47	16	no	—
160	C₂×#389	—	47	4	no	—
161	C₂×#385	—	47	4	no	—
162	C₂×C₄×C₄⋊C₄	—	47	4	no	—
163	C₂×C₄₇	—	2	8	no	—
164	C₂×C₄₇	#2296	1	8	yes	complemented
165	C₂×C₄₇	C₂³×C₄⋊C₄	1	1	yes	characteristic
166	C₂×C₄₇	C₂×C₄×#41	1	2	yes	—
167	C₂×C₄₇	C₂×#525	1	2	yes	—
168	C₂×C₄₇	C₂×#533	1	2	yes	—
169	C₂⁴×C₄	—	47	2	no	—
170	C₂⁴×C₄	C₂×D₄₇	1	1	yes	characteristic
171	C₂×#117	—	47	8	no	—
172	C₂×#117	—	94	8	no	—
173	C₂×#117	Dic₄₇	1	16	yes	complemented
174	C₂×#117	C₂×D₄₇	1	8	yes	—
175	C₂²×C₄⋊C₄	—	47	2	no	—
176	C₂²×C₄⋊C₄	—	47	8	no	—
177	C₂²×C₄⋊C₄	C₂×D₄₇	1	2	yes	—
178	C₂²×C₂²⋊C₄	—	47	2	no	—
179	C₂²×C₂²⋊C₄	C₂×D₄₇	1	2	yes	—
180	C₂²×C₄²	—	47	2	no	—
181	C₂²×C₄²	—	47	8	no	—
182	C₂²×C₄²	—	47	2	no	—
183	C₂²×C₄²	—	47	2	no	—
184	C₂²×C₄²	—	94	8	no	—
185	C₂²×C₄²	C₂×D₄₇	1	2	yes	—
186	#389	—	47	32	no	—
187	#385	—	47	32	no	—
188	C₄×C₄⋊C₄	—	47	32	no	—
189	C₂×#95	—	47	8	no	—
190	C₄₇	C₂×#2296	1	1	yes	characteristic, complemented, Sylow
191	C₂⁵	C₂²×D₄₇	1	1	yes	characteristic
192	C₂³×C₄	—	47	4	no	—
193	C₂³×C₄	—	47	4	no	—
194	C₂³×C₄	—	47	8	no	—
195	C₂³×C₄	—	94	16	no	—
196	C₂³×C₄	—	94	8	no	—
197	C₂³×C₄	Dic₉₄	1	8	yes	—
198	C₂³×C₄	D₁₈₈	1	8	yes	—
199	C₂³×C₄	C₂×Dic₄₇	1	8	yes	—
200	C₂³×C₄	C₂²×D₄₇	1	4	yes	—
201	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
202	C₂³×C₄	C₂²×D₄₇	1	4	yes	—
203	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
204	#117	—	94	32	no	—
205	#117	C₂×Dic₄₇	1	64	yes	complemented
206	C₂×C₄⋊C₄	—	47	8	no	—
207	C₂×C₄⋊C₄	—	47	32	no	—
208	C₂×C₄⋊C₄	—	94	32	no	—
209	C₂×C₄⋊C₄	—	94	8	no	—
210	C₂×C₄⋊C₄	C₂×Dic₄₇	1	16	yes	complemented
211	C₂×C₄⋊C₄	C₂²×D₄₇	1	8	yes	—
212	C₂×C₂²⋊C₄	—	47	8	no	—
213	C₂×C₂²⋊C₄	—	94	8	no	—
214	C₂×C₂²⋊C₄	C₂×Dic₄₇	1	16	yes	—
215	C₂×C₂²⋊C₄	C₂²×D₄₇	1	8	yes	—
216	C₂×C₄²	—	47	8	no	—
217	C₂×C₄²	—	47	8	no	—
218	C₂×C₄²	—	47	8	no	—
219	C₂×C₄²	—	94	8	no	—
220	C₂×C₄²	—	94	8	no	—
221	C₂×C₄²	—	94	8	no	—
222	C₂×C₄²	—	94	32	no	—
223	C₂×C₄²	C₂×Dic₄₇	1	16	yes	complemented
224	C₂×C₄²	C₂²×D₄₇	1	8	yes	—
225	#95	—	47	32	no	—
226	C₂⁴	—	2	8	no	—
227	C₂⁴	C₂×Dic₉₄	1	4	yes	—
228	C₂⁴	C₂×D₁₈₈	1	4	yes	—
229	C₂⁴	C₂²×Dic₄₇	1	4	yes	—
230	C₂⁴	C₂³×D₄₇	1	2	yes	—
231	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
232	C₂²×C₄	—	2	16	no	—
233	C₂²×C₄	—	47	16	no	—
234	C₂²×C₄	—	47	8	no	—
235	C₂²×C₄	—	47	8	no	—
236	C₂²×C₄	—	94	32	no	—
237	C₂²×C₄	—	94	64	no	—
238	C₂²×C₄	—	94	16	no	—
239	C₂²×C₄	—	94	8	no	—
240	C₂²×C₄	—	94	8	no	—
241	C₂²×C₄	—	94	8	no	—
242	C₂²×C₄	—	94	16	no	—
243	C₂²×C₄	C₄⋊Dic₄₇	1	64	yes	complemented
244	C₂²×C₄	C₂×Dic₉₄	1	4	yes	—
245	C₂²×C₄	C₂×Dic₉₄	1	4	yes	—
246	C₂²×C₄	C₂×Dic₉₄	1	16	yes	—
247	C₂²×C₄	C₂×D₁₈₈	1	4	yes	—
248	C₂²×C₄	C₂×D₁₈₈	1	4	yes	—
249	C₂²×C₄	C₂×D₁₈₈	1	16	yes	—
250	C₂²×C₄	C₂²×Dic₄₇	1	16	yes	—
251	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
252	C₂²×C₄	C₂²×Dic₄₇	1	4	yes	—
253	C₂²×C₄	C₂²×Dic₄₇	1	16	yes	—
254	C₂²×C₄	C₂³×D₄₇	1	8	yes	—
255	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
256	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
257	C₄⋊C₄	—	94	64	no	—
258	C₄⋊C₄	—	94	16	no	—
259	C₄⋊C₄	C₂²×Dic₄₇	1	32	yes	complemented
260	C₂²⋊C₄	—	94	16	no	—
261	C₂²⋊C₄	C₂²×Dic₄₇	1	32	yes	—
262	C₄²	—	94	16	no	—
263	C₄²	—	94	16	no	—
264	C₄²	—	94	16	no	—
265	C₄²	C₂²×Dic₄₇	1	32	yes	complemented
266	C₂³	—	2	16	no	—
267	C₂³	—	2	16	no	—
268	C₂³	—	2	16	no	—
269	C₂³	—	2	8	no	—
270	C₂³	C₂×C₄⋊Dic₄₇	1	16	yes	—
271	C₂³	C₂³×Dic₄₇	1	4	yes	—
272	C₂³	C₂³×Dic₄₇	1	2	yes	—
273	C₂³	C₂²×D₁₈₈	1	4	yes	—
274	C₂³	C₂²×D₁₈₈	1	2	yes	—
275	C₂³	C₂²×Dic₉₄	1	4	yes	—
276	C₂³	C₂²×Dic₉₄	1	2	yes	—
277	C₂³	#41×D₄₇	1	8	yes	—
278	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
279	C₂×C₄	—	2	32	no	—
280	C₂×C₄	—	2	16	no	—
281	C₂×C₄	—	47	16	no	—
282	C₂×C₄	—	94	64	no	—
283	C₂×C₄	—	94	32	no	—
284	C₂×C₄	—	94	8	no	—
285	C₂×C₄	—	94	8	no	—
286	C₂×C₄	—	94	8	no	—
287	C₂×C₄	—	94	16	no	—
288	C₂×C₄	—	188	16	no	—
289	C₂×C₄	C₂×C₄⋊Dic₄₇	1	16	yes	—
290	C₂×C₄	C₂×C₄⋊Dic₄₇	1	16	yes	—
291	C₂×C₄	C₂×C₄⋊Dic₄₇	1	64	yes	complemented
292	C₂×C₄	C₂³×Dic₄₇	1	16	yes	—
293	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
294	C₂×C₄	C₂³×Dic₄₇	1	4	yes	—
295	C₂×C₄	C₂²×D₁₈₈	1	4	yes	—
296	C₂×C₄	C₂²×D₁₈₈	1	4	yes	—
297	C₂×C₄	C₂²×Dic₉₄	1	4	yes	—
298	C₂×C₄	C₂²×Dic₉₄	1	4	yes	—
299	C₂²	—	2	8	no	—
300	C₂²	—	2	32	no	—
301	C₂²	—	2	8	no	—
302	C₂²	—	2	8	no	—
303	C₂²	C₂²×C₄⋊Dic₄₇	1	8	yes	—
304	C₂²	C₂²×C₄⋊Dic₄₇	1	4	yes	—
305	C₂²	#41×Dic₄₇	1	8	yes	—
306	C₂²	#15689635	1	8	yes	—
307	C₂²	#15689676	1	8	yes	—
308	C₂²	C₂⁴×Dic₄₇	1	1	yes	characteristic
309	C₂²	C₂³×D₁₈₈	1	1	yes	characteristic
310	C₂²	C₂³×Dic₉₄	1	1	yes	characteristic
311	C₂²	C₂×#41×D₄₇	1	4	yes	—
312	C₄	—	2	16	no	—
313	C₄	—	94	16	no	—
314	C₄	—	188	8	no	—
315	C₄	C₂²×C₄⋊Dic₄₇	1	8	yes	—
316	C₄	C₂²×C₄⋊Dic₄₇	1	8	yes	—
317	C₂	—	2	8	no	—
318	C₂	#20245872	1	8	yes	direct product factor
319	C₂	C₂³×C₄⋊Dic₄₇	1	1	yes	characteristic
320	C₂	C₂×#41×Dic₄₇	1	2	yes	—
321	C₂	C₂×#15689635	1	2	yes	—
322	C₂	C₂×#15689676	1	2	yes	—

	subgroup	G/H
center	C₂³×C₄	C₂²×D₄₇
commutator	C₂²×C₄₇	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₄₇
Fitting	C₂²×#117×C₄₇	C₂
socle	C₂⁴×C₄₇	C₂⁴
prime radical	C₂⁵×C₄₇	C₂³
cosocle	C₂³×C₄₇	C₂⁵
hypercenter	C₂²×#117	D₄₇
hypocenter	C₄₇	C₂×#2296
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³×C₄ ◁ C₂²×#117

Complements

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

N	H ≅ G/N	type
3. #20245872	C₂	direct (N × H)
4. C₂×#15689022	C₂	semidirect
6. C₂×C₄×C₄⋊Dic₄₇	C₂	semidirect
19. #15689022	C₂²	semidirect
21. C₄×C₄⋊Dic₄₇	C₂²	semidirect
24. C₂×#117×C₄₇	C₄	semidirect
57. #117×C₄₇	C₂×C₄	semidirect
58. C₂×C₄⋊C₄×C₄₇	C₂×C₄	semidirect
62. C₂×C₄²×C₄₇	C₂×C₄	semidirect
71. C₂²×C₄×C₄₇	C₄⋊C₄	semidirect
95. C₄⋊C₄×C₄₇	C₂²×C₄	semidirect
97. C₄²×C₄₇	C₂²×C₄	semidirect
121. C₂×C₄×C₄₇	C₂×C₄⋊C₄	semidirect
164. C₂×C₄₇	#2296	semidirect
173. C₂×#117	Dic₄₇	semidirect
190. C₄₇	C₂×#2296	semidirect
205. #117	C₂×Dic₄₇	semidirect
210. C₂×C₄⋊C₄	C₂×Dic₄₇	semidirect
223. C₂×C₄²	C₂×Dic₄₇	semidirect
243. C₂²×C₄	C₄⋊Dic₄₇	semidirect
259. C₄⋊C₄	C₂²×Dic₄₇	semidirect
265. C₄²	C₂²×Dic₄₇	semidirect
291. C₂×C₄	C₂×C₄⋊Dic₄₇	semidirect
318. C₂	#20245872	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#13093983	2
C₂³×C₄×Dic₄₇	2
#20245872	2
C₂×#15689022	2
C₂×#15688998	2
C₂×C₄×C₄⋊Dic₄₇	2
C₂²×#117×C₄₇	2
C₂×#2296	47

Subgroups — C2×#20245872 #26374661

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20245872 #26374661