Subgroups — C₂×#11747009 #14414871

Order 1920.

1104 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×D₆₀	C₂	1	1	yes	maximal, characteristic
2	C₂²×#6651	C₂	1	2	yes	maximal, complemented
3	C₂×C₅×C₄⋊(C₃⋊C₈)	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×C₄×#168	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#90957	C₂	1	2	yes	maximal, complemented
6	#11747009	C₂	1	8	yes	maximal, direct product factor
7	C₂×#65127	—	3	1	no	maximal, Hall
8	C₂²×D₆₀	C₄	1	1	yes	characteristic
9	C₂²×C₄×D₁₅	C₂²	1	2	yes	—
10	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
11	C₂×#6714	C₄	1	2	yes	—
12	C₂×C₄⋊Dic₁₅	C₄	1	1	yes	characteristic
13	C₄×D₆₀	C₄	1	4	yes	—
14	C₄×D₆₀	C₂²	1	4	yes	—
15	C₂²×C₅×C₃⋊C₈	C₂²	1	2	yes	—
16	C₂²×C₃×#168	C₂²	1	1	yes	characteristic
17	C₂²×C₃×#168	C₂²	1	1	yes	characteristic
18	C₂×#6651	—	2	8	no	—
19	C₂×#6651	C₂²	1	8	yes	complemented
20	C₅×C₄⋊(C₃⋊C₈)	C₂²	1	4	yes	complemented
21	C₃×C₄×#168	C₂²	1	4	yes	complemented
22	#90957	C₂²	1	8	yes	complemented
23	C₂×#4688	—	5	1	no	maximal, Hall
24	C₂²×#676	—	3	2	no	—
25	C₂×C₄×D₂₀	—	3	1	no	—
26	C₂×C₅×C₄⋊C₈	—	3	1	no	—
27	C₂×#3952	—	3	2	no	—
28	C₂×C₄×#168	D₃	1	1	yes	characteristic, complemented
29	#65127	—	3	8	no	—
30	C₂³×D₁₅	C₂×C₄	1	2	yes	—
31	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
32	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
33	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
34	C₂²×Dic₁₅	C₂×C₄	1	2	yes	—
35	C₂×D₆₀	—	2	4	no	—
36	C₂×D₆₀	C₂×C₄	1	4	yes	—
37	C₂×C₄×D₁₅	—	2	4	no	—
38	C₂×C₄×D₁₅	—	2	4	no	—
39	C₂×C₄×D₁₅	C₂×C₄	1	4	yes	—
40	C₂×C₄×D₁₅	C₂³	1	4	yes	—
41	C₃×C₄²×C₅	C₂×C₄	1	2	yes	—
42	C₃×C₄²×C₅	C₂³	1	2	yes	—
43	#6714	C₂×C₄	1	8	yes	—
44	C₄⋊Dic₁₅	C₂×C₄	1	4	yes	—
45	C₂×C₅×C₃⋊C₈	—	2	4	no	—
46	C₂×C₅×C₃⋊C₈	C₂³	1	4	yes	—
47	C₂×C₃×#168	—	2	2	no	—
48	C₂×C₃×#168	D₄	1	4	yes	complemented
49	C₂×C₃×#168	C₂³	1	2	yes	—
50	C₂×C₃×#168	C₂³	1	2	yes	—
51	#6651	—	2	16	no	—
52	C₂²×ΓL(1,𝔽₂₅)	—	5	2	no	—
53	C₂×C₄×D₁₂	—	5	1	no	—
54	C₂×C₃×C₄×C₈	—	5	1	no	—
55	C₂×(C₂×D₃)⋊C₈	—	5	2	no	—
56	C₂×C₄⋊(C₃⋊C₈)	D₅	1	1	yes	characteristic, complemented
57	#4688	—	5	8	no	—
58	C₂²×D₂₀	—	3	1	no	—
59	C₂²×C₄×D₅	—	3	2	no	—
60	C₂²×C₅×C₈	—	3	2	no	—
61	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
62	C₂×#685	—	3	2	no	—
63	C₂×C₄⋊Dic₅	—	3	1	no	—
64	C₂²×#168	C₂×D₃	1	1	yes	characteristic
65	C₂²×#168	C₂×D₃	1	1	yes	characteristic
66	C₂×#676	—	3	8	no	—
67	C₂×#676	—	6	8	no	—
68	C₄×D₂₀	—	3	4	no	—
69	C₄×D₂₀	—	3	4	no	—
70	C₅×C₄⋊C₈	—	3	4	no	—
71	#3952	—	3	8	no	—
72	C₄×#168	C₂×D₃	1	4	yes	complemented
73	C₂×#436	—	15	1	no	Sylow
74	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
75	C₂²×D₁₅	—	2	4	no	—
76	C₂²×D₁₅	—	2	4	no	—
77	C₂²×D₁₅	—	2	4	no	—
78	C₂²×D₁₅	C₂²×C₄	1	4	yes	—
79	C₂×C₃×C₄×C₅	—	2	2	no	—
80	C₂×C₃×C₄×C₅	M₁₆	1	4	yes	complemented
81	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
82	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
83	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
84	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
85	C₂×C₃×C₄×C₅	#41	1	2	yes	—
86	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
87	C₂×Dic₁₅	—	2	4	no	—
88	C₂×Dic₁₅	C₂²×C₄	1	4	yes	—
89	D₆₀	—	2	8	no	—
90	C₄×D₁₅	—	2	8	no	—
91	C₄×D₁₅	—	2	4	no	—
92	C₄×D₁₅	—	2	4	no	—
93	C₃×#168	—	2	2	no	—
94	C₃×#168	C₂×D₄	1	4	yes	complemented
95	C₅×C₃⋊C₈	—	2	4	no	—
96	C₂²×D₁₂	—	5	1	no	—
97	C₂²×C₄×D₃	—	5	2	no	—
98	C₂²×C₃×C₈	—	5	1	no	—
99	C₂²×C₃×C₈	—	5	1	no	—
100	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic
101	C₂×(C₂×D₃)⋊C₄	—	5	2	no	—
102	C₂×C₄⋊Dic₃	—	5	1	no	—
103	C₂²×C₃⋊C₈	C₂×D₅	1	2	yes	—
104	C₂×ΓL(1,𝔽₂₅)	—	5	8	no	—
105	C₂×ΓL(1,𝔽₂₅)	—	10	8	no	—
106	C₄×D₁₂	—	5	4	no	—
107	C₄×D₁₂	—	5	4	no	—
108	C₃×C₄×C₈	—	5	4	no	—
109	(C₂×D₃)⋊C₈	—	5	8	no	—
110	C₄⋊(C₃⋊C₈)	C₂×D₅	1	4	yes	complemented
111	C₂³×D₅	—	3	2	no	—
112	C₂²×C₄×C₅	C₄×D₃	1	1	yes	characteristic
113	C₂²×C₄×C₅	C₄×D₃	1	1	yes	characteristic
114	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
115	C₂²×Dic₅	—	3	2	no	—
116	C₂×D₂₀	—	3	4	no	—
117	C₂×D₂₀	—	6	4	no	—
118	C₂×C₄×D₅	—	3	4	no	—
119	C₂×C₄×D₅	—	3	4	no	—
120	C₂×C₄×D₅	—	6	4	no	—
121	C₂×C₄×D₅	—	6	4	no	—
122	C₂×C₅×C₈	—	3	4	no	—
123	C₂×C₅×C₈	—	6	4	no	—
124	C₄²×C₅	C₄×D₃	1	2	yes	—
125	C₄²×C₅	C₂²×D₃	1	2	yes	—
126	#685	—	3	8	no	—
127	C₄⋊Dic₅	—	3	4	no	—
128	C₂×#168	—	2	2	no	—
129	C₂×#168	D₁₂	1	4	yes	complemented
130	C₂×#168	C₂²×D₃	1	2	yes	—
131	C₂×#168	C₂²×D₃	1	2	yes	—
132	#676	—	6	16	no	—
133	C₂²×M₁₆	—	15	2	no	—
134	C₂×C₄×D₄	—	15	1	no	—
135	#436	—	15	8	no	—
136	C₂×C₄⋊C₈	—	3	1	no	—
137	C₂×C₂²⋊C₈	—	15	2	no	—
138	C₂×C₄×C₈	—	5	1	no	—
139	C₂²×C₃×C₅	C₄×D₄	1	2	yes	—
140	C₂²×C₃×C₅	C₂×M₁₆	1	2	yes	—
141	C₂²×C₃×C₅	#131	1	2	yes	—
142	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
143	C₂×D₁₅	—	2	4	no	—
144	C₂×D₁₅	—	2	4	no	—
145	C₂×D₁₅	—	2	4	no	—
146	C₂×D₁₅	—	4	8	no	—
147	C₃×C₄×C₅	—	2	2	no	—
148	C₃×C₄×C₅	C₄×D₄	1	2	yes	—
149	C₃×C₄×C₅	C₂×M₁₆	1	4	yes	complemented
150	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
151	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
152	Dic₁₅	—	2	4	no	—
153	C₂³×D₃	—	5	2	no	—
154	C₂²×C₃×C₄	C₄×D₅	1	1	yes	characteristic
155	C₂²×C₃×C₄	C₄×D₅	1	1	yes	characteristic
156	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
157	C₂²×Dic₃	—	5	2	no	—
158	C₂×D₁₂	—	5	4	no	—
159	C₂×D₁₂	—	10	4	no	—
160	C₂×C₄×D₃	—	5	4	no	—
161	C₂×C₄×D₃	—	5	4	no	—
162	C₂×C₄×D₃	—	10	4	no	—
163	C₂×C₄×D₃	—	10	4	no	—
164	C₂×C₃×C₈	—	5	4	no	—
165	C₂×C₃×C₈	—	5	2	no	—
166	C₂×C₃×C₈	—	5	2	no	—
167	C₂×C₃×C₈	—	10	2	no	—
168	C₃×C₄²	C₄×D₅	1	2	yes	—
169	C₃×C₄²	C₂²×D₅	1	2	yes	—
170	(C₂×D₃)⋊C₄	—	5	8	no	—
171	C₄⋊Dic₃	—	5	4	no	—
172	C₂×C₃⋊C₈	—	2	4	no	—
173	C₂×C₃⋊C₈	C₂²×D₅	1	4	yes	—
174	ΓL(1,𝔽₂₅)	—	10	16	no	—
175	C₂³×C₅	C₂×C₄×D₃	1	1	yes	characteristic
176	C₂²×D₅	—	3	4	no	—
177	C₂²×D₅	—	6	4	no	—
178	C₂²×D₅	—	6	4	no	—
179	C₂²×D₅	—	6	4	no	—
180	C₂×C₄×C₅	—	2	2	no	—
181	C₂×C₄×C₅	ΓL(1,𝔽₂₅)	1	4	yes	complemented
182	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
183	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
184	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
185	C₂×C₄×C₅	C₂×D₁₂	1	2	yes	—
186	C₂×C₄×C₅	#235	1	2	yes	—
187	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
188	C₂×Dic₅	—	3	4	no	—
189	C₂×Dic₅	—	6	4	no	—
190	D₂₀	—	6	8	no	—
191	C₄×D₅	—	6	8	no	—
192	C₄×D₅	—	6	4	no	—
193	C₄×D₅	—	6	4	no	—
194	C₅×C₈	—	6	4	no	—
195	#168	—	2	2	no	—
196	#168	C₂×D₁₂	1	4	yes	complemented
197	C₂²×D₄	—	15	1	no	—
198	C₂³×C₄	—	15	2	no	—
199	C₂×M₁₆	—	15	8	no	—
200	C₂×M₁₆	—	30	8	no	—
201	C₂²×C₈	—	3	2	no	—
202	C₂²×C₈	—	5	1	no	—
203	C₂²×C₈	—	5	1	no	—
204	C₄×D₄	—	15	4	no	—
205	C₄×D₄	—	15	4	no	—
206	C₂×C₄⋊C₄	—	15	1	no	—
207	C₂×C₂²⋊C₄	—	15	2	no	—
208	C₂×C₄²	D₃×D₅	1	1	yes	characteristic
209	C₄⋊C₈	—	3	4	no	—
210	C₂²⋊C₈	—	15	8	no	—
211	C₄×C₈	—	5	4	no	—
212	C₂×C₃×C₅	#436	1	4	yes	complemented
213	C₂×C₃×C₅	C₂×C₄×D₄	1	1	yes	characteristic
214	C₂×C₃×C₅	C₂²×M₁₆	1	1	yes	characteristic
215	C₂×C₃×C₅	C₂×#131	1	1	yes	characteristic
216	D₁₅	—	4	4	no	—
217	C₂³×C₃	C₂×C₄×D₅	1	1	yes	characteristic
218	C₂²×D₃	—	5	4	no	—
219	C₂²×D₃	—	10	4	no	—
220	C₂²×D₃	—	10	4	no	—
221	C₂²×D₃	—	10	4	no	—
222	C₂×C₃×C₄	—	2	2	no	—
223	C₂×C₃×C₄	#676	1	4	yes	complemented
224	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
225	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
226	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
227	C₂×C₃×C₄	D₄×D₅	1	2	yes	—
228	C₂×C₃×C₄	#713	1	2	yes	—
229	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
230	C₂×Dic₃	—	5	4	no	—
231	C₂×Dic₃	—	10	4	no	—
232	D₁₂	—	10	8	no	—
233	C₄×D₃	—	10	4	no	—
234	C₄×D₃	—	10	4	no	—
235	C₄×D₃	—	10	8	no	—
236	C₃×C₈	—	5	4	no	—
237	C₃×C₈	—	10	2	no	—
238	C₃⋊C₈	—	2	4	no	—
239	C₂²×C₅	C₄×D₁₂	1	2	yes	—
240	C₂²×C₅	C₂×ΓL(1,𝔽₂₅)	1	2	yes	—
241	C₂²×C₅	#901	1	2	yes	—
242	C₂²×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
243	C₂×D₅	—	6	4	no	—
244	C₂×D₅	—	6	4	no	—
245	C₂×D₅	—	6	4	no	—
246	C₂×D₅	—	12	8	no	—
247	C₄×C₅	—	2	2	no	—
248	C₄×C₅	C₄×D₁₂	1	2	yes	—
249	C₄×C₅	C₂×ΓL(1,𝔽₂₅)	1	4	yes	complemented
250	C₄×C₅	C₂²×D₁₂	1	1	yes	characteristic
251	C₄×C₅	C₂×#235	1	1	yes	characteristic
252	Dic₅	—	6	4	no	—
253	C₂⁴	—	15	2	no	—
254	C₂×D₄	—	15	4	no	—
255	C₂×D₄	—	30	4	no	—
256	C₂²×C₄	—	15	2	no	—
257	C₂²×C₄	—	15	4	no	—
258	C₂²×C₄	—	15	4	no	—
259	C₂²×C₄	—	30	4	no	—
260	C₂²×C₄	—	30	4	no	—
261	C₂²×C₄	#1200	1	1	yes	characteristic
262	C₂²×C₄	#1200	1	1	yes	characteristic
263	C₂²×C₄	C₂×D₃×D₅	1	1	yes	characteristic
264	M₁₆	—	30	16	no	—
265	C₂×C₈	—	3	4	no	—
266	C₂×C₈	—	5	4	no	—
267	C₂×C₈	—	5	2	no	—
268	C₂×C₈	—	5	2	no	—
269	C₂×C₈	—	6	4	no	—
270	C₂×C₈	—	10	2	no	—
271	C₄⋊C₄	—	15	4	no	—
272	C₂²⋊C₄	—	15	8	no	—
273	C₄²	#1200	1	2	yes	—
274	C₄²	C₂×D₃×D₅	1	2	yes	—
275	C₃×C₅	C₂×#436	1	1	yes	characteristic, complemented, Hall
276	C₂²×C₃	#4039	1	2	yes	—
277	C₂²×C₃	C₂×#676	1	2	yes	—
278	C₂²×C₃	#4053	1	2	yes	—
279	C₂²×C₃	C₂²×C₄×D₅	1	1	yes	characteristic
280	C₂×D₃	—	10	4	no	—
281	C₂×D₃	—	10	4	no	—
282	C₂×D₃	—	10	4	no	—
283	C₂×D₃	—	20	8	no	—
284	C₃×C₄	—	2	2	no	—
285	C₃×C₄	#4039	1	2	yes	—
286	C₃×C₄	C₂×#676	1	4	yes	complemented
287	C₃×C₄	C₂×D₄×D₅	1	1	yes	characteristic
288	C₃×C₄	C₂×#713	1	1	yes	characteristic
289	Dic₃	—	10	4	no	—
290	C₂×C₅	#4688	1	4	yes	complemented
291	C₂×C₅	C₂×C₄×D₁₂	1	1	yes	characteristic
292	C₂×C₅	C₂²×ΓL(1,𝔽₂₅)	1	1	yes	characteristic
293	C₂×C₅	C₂×#901	1	1	yes	characteristic
294	D₅	—	12	4	no	—
295	C₂³	—	15	4	no	—
296	C₂³	—	30	4	no	—
297	C₂³	—	30	4	no	—
298	C₂³	—	30	4	no	—
299	C₂³	C₂×#1200	1	1	yes	characteristic
300	D₄	—	30	8	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	15	4	no	—
303	C₂×C₄	—	30	4	no	—
304	C₂×C₄	—	30	8	no	—
305	C₂×C₄	—	30	4	no	—
306	C₂×C₄	—	30	4	no	—
307	C₂×C₄	#6651	1	4	yes	complemented
308	C₂×C₄	#6773	1	2	yes	—
309	C₂×C₄	D₅×D₁₂	1	2	yes	—
310	C₂×C₄	C₂×#1200	1	2	yes	—
311	C₂×C₄	C₂×#1200	1	1	yes	characteristic
312	C₂×C₄	C₂×#1200	1	2	yes	—
313	C₂×C₄	C₂²×D₃×D₅	1	1	yes	characteristic
314	C₈	—	5	4	no	—
315	C₈	—	6	4	no	—
316	C₈	—	10	2	no	—
317	C₂×C₃	#65127	1	4	yes	complemented
318	C₂×C₃	C₂×#4039	1	1	yes	characteristic
319	C₂×C₃	C₂²×#676	1	1	yes	characteristic
320	C₂×C₃	C₂×#4053	1	1	yes	characteristic
321	D₃	—	20	4	no	—
322	C₅	C₂×#4688	1	1	yes	characteristic, complemented, Sylow
323	C₂²	—	30	4	no	—
324	C₂²	—	30	4	no	—
325	C₂²	—	30	4	no	—
326	C₂²	—	60	8	no	—
327	C₂²	#91290	1	2	yes	—
328	C₂²	C₂×#6651	1	2	yes	—
329	C₂²	#91418	1	2	yes	—
330	C₂²	C₂²×#1200	1	1	yes	characteristic
331	C₄	—	2	2	no	—
332	C₄	—	30	4	no	—
333	C₄	C₂×#6651	1	4	yes	complemented
334	C₄	#91418	1	2	yes	—
335	C₄	C₂×#6773	1	1	yes	characteristic
336	C₄	C₂×D₅×D₁₂	1	1	yes	characteristic
337	C₃	C₂×#65127	1	1	yes	characteristic, complemented, Sylow
338	C₂	—	60	4	no	—
339	C₂	#11747009	1	4	yes	direct product factor
340	C₂	C₂×#91290	1	1	yes	characteristic
341	C₂	C₂²×#6651	1	1	yes	characteristic
342	C₂	C₂×#91418	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂×D₃×D₅
commutator	C₂²×C₃×C₅	C₂³×C₄
Frattini	C₂×C₄	C₂²×D₃×D₅
Fitting	C₂×C₃×C₄²×C₅	C₂²
socle	C₂³×C₃×C₅	C₂²×C₄
prime radical	C₂²×D₆₀	C₄
cosocle	C₂×C₃×C₄×C₅	C₂⁴
hypercenter	C₂×C₄²	D₃×D₅
hypocenter	C₃×C₅	C₂×#436
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄²

Complements

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

N	H ≅ G/N	type
2. C₂²×#6651	C₂	semidirect
3. C₂×C₅×C₄⋊(C₃⋊C₈)	C₂	semidirect
4. C₂×C₃×C₄×#168	C₂	semidirect
5. C₂×#90957	C₂	semidirect
6. #11747009	C₂	direct (N × H)
19. C₂×#6651	C₂²	semidirect
20. C₅×C₄⋊(C₃⋊C₈)	C₂²	semidirect
21. C₃×C₄×#168	C₂²	semidirect
22. #90957	C₂²	semidirect
28. C₂×C₄×#168	D₃	semidirect
48. C₂×C₃×#168	D₄	semidirect
56. C₂×C₄⋊(C₃⋊C₈)	D₅	semidirect
72. C₄×#168	C₂×D₃	semidirect
80. C₂×C₃×C₄×C₅	M₁₆	semidirect
94. C₃×#168	C₂×D₄	semidirect
110. C₄⋊(C₃⋊C₈)	C₂×D₅	semidirect
129. C₂×#168	D₁₂	semidirect
149. C₃×C₄×C₅	C₂×M₁₆	semidirect
181. C₂×C₄×C₅	ΓL(1,𝔽₂₅)	semidirect
196. #168	C₂×D₁₂	semidirect
212. C₂×C₃×C₅	#436	semidirect
223. C₂×C₃×C₄	#676	semidirect
249. C₄×C₅	C₂×ΓL(1,𝔽₂₅)	semidirect
275. C₃×C₅	C₂×#436	semidirect
286. C₃×C₄	C₂×#676	semidirect
290. C₂×C₅	#4688	semidirect
307. C₂×C₄	#6651	semidirect
317. C₂×C₃	#65127	semidirect
322. C₅	C₂×#4688	semidirect
333. C₄	C₂×#6651	semidirect
337. C₃	C₂×#65127	semidirect
339. C₂	#11747009	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₄×D₆₀	2
C₂²×#6651	2
C₂×C₅×C₄⋊(C₃⋊C₈)	2
C₂×C₃×C₄×#168	2
C₂×#90957	2
#11747009	2
C₂×#65127	3
C₂×#4688	5

Subgroups — C2×#11747009 #14414871

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#11747009 #14414871