Subgroups — C₂×C₃×#64676 #14281521

Order 1920.

560 conjugacy classes of subgroups.

The subgroup lattice has 332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₄×Dic₁₀	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₄×C₅×C₈	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃×C₄⋊#168	C₂	1	1	yes	maximal, characteristic
4	C₃×#64676	C₂	1	4	yes	maximal, direct product factor
5	C₂×#64676	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂²×C₃×Dic₁₀	C₄	1	1	yes	characteristic
7	C₂²×C₃×C₅×C₈	—	2	1	no	—
8	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
9	C₂×C₃×C₄⋊Dic₅	C₄	1	1	yes	characteristic
10	C₂×C₃×#683	—	2	1	no	—
11	C₂×C₃×C₄×Dic₅	—	2	1	no	—
12	C₂²×C₃×#168	—	2	1	no	—
13	C₃×C₄×Dic₁₀	—	2	1	no	—
14	C₃×C₄×Dic₁₀	—	2	1	no	—
15	C₃×C₄×Dic₁₀	C₄	1	2	yes	—
16	C₃×C₄×Dic₁₀	C₂²	1	2	yes	—
17	C₃×C₄×C₅×C₈	—	2	1	no	—
18	C₃×C₄×C₅×C₈	C₂²	1	2	yes	—
19	C₃×C₄⋊#168	—	2	1	no	—
20	C₃×C₄⋊#168	C₂²	1	2	yes	—
21	C₂×C₃×Q₈⋊C₈	—	5	1	no	maximal, Hall
22	C₂×C₄×Dic₁₀	C₂×C₃	1	1	yes	characteristic
23	C₂×C₄×C₅×C₈	C₂×C₃	1	1	yes	characteristic
24	C₂×C₄⋊#168	C₂×C₃	1	1	yes	characteristic
25	#64676	C₂×C₃	1	4	yes	direct product factor
26	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
27	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
28	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
29	C₂²×C₃×Dic₅	—	2	1	no	—
30	C₂²×C₃×Dic₅	—	2	1	no	—
31	C₂×C₃×Dic₁₀	—	2	1	no	—
32	C₂×C₃×Dic₁₀	—	2	2	no	—
33	C₂×C₃×Dic₁₀	C₈	1	4	yes	complemented
34	C₂×C₃×Dic₁₀	C₂×C₄	1	2	yes	—
35	C₂×C₃×C₅×C₈	—	2	4	no	—
36	C₂×C₃×C₅×C₈	—	2	2	no	—
37	C₃×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
38	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
39	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
40	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
41	C₃×C₄⋊Dic₅	—	2	1	no	—
42	C₃×C₄⋊Dic₅	C₂×C₄	1	2	yes	—
43	C₃×#683	—	2	2	no	—
44	C₃×#683	—	2	2	no	—
45	C₃×C₄×Dic₅	—	2	2	no	—
46	C₃×C₄×Dic₅	—	2	2	no	—
47	C₂×C₃×#168	—	2	2	no	—
48	C₂×C₃×#168	—	4	2	no	—
49	C₂×C₃×C₄×Q₈	—	5	1	no	—
50	C₂×C₃×C₄⋊C₈	—	5	1	no	—
51	C₂×C₃×C₄×C₈	D₅	1	1	yes	characteristic
52	C₃×Q₈⋊C₈	—	5	4	no	—
53	C₂²×Dic₁₀	C₃×C₄	1	1	yes	characteristic
54	C₂²×C₅×C₈	—	2	1	no	—
55	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
56	C₂×C₄⋊Dic₅	C₃×C₄	1	1	yes	characteristic
57	C₂×#683	—	2	1	no	—
58	C₂×C₄×Dic₅	—	2	1	no	—
59	C₂²×#168	—	2	1	no	—
60	C₄×Dic₁₀	—	2	1	no	—
61	C₄×Dic₁₀	—	2	1	no	—
62	C₄×Dic₁₀	C₃×C₄	1	2	yes	—
63	C₄×Dic₁₀	C₂²×C₃	1	2	yes	—
64	C₄×C₅×C₈	—	2	1	no	—
65	C₄×C₅×C₈	C₂²×C₃	1	2	yes	—
66	C₄⋊#168	—	2	1	no	—
67	C₄⋊#168	C₂²×C₃	1	2	yes	—
68	C₂×Q₈⋊C₈	—	5	1	no	Sylow
69	C₂³×C₃×C₅	C₂²⋊C₄	1	1	yes	characteristic
70	C₂×C₃×C₄×C₅	—	2	2	no	—
71	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
72	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
73	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
74	C₂×C₃×C₄×C₅	C₂×C₈	1	2	yes	—
75	C₂×C₃×C₄×C₅	M₁₆	1	2	yes	—
76	C₂×C₃×C₄×C₅	SD₁₆	1	2	yes	—
77	C₂×C₃×C₄×C₅	Q₁₆	1	2	yes	—
78	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
79	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
80	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
81	C₂×C₃×Dic₅	—	2	4	no	—
82	C₂×C₃×Dic₅	—	2	2	no	—
83	C₂×C₃×Dic₅	—	2	2	no	—
84	C₂×C₃×Dic₅	—	4	2	no	—
85	C₃×Dic₁₀	—	2	4	no	—
86	C₃×Dic₁₀	—	2	2	no	—
87	C₃×Dic₁₀	C₂×C₈	1	4	yes	complemented
88	C₃×C₅×C₈	—	2	4	no	—
89	C₃×#168	—	4	2	no	—
90	C₂²×C₃×Q₈	—	5	1	no	—
91	C₂²×C₃×C₈	—	2	1	no	—
92	C₂²×C₃×C₈	—	10	1	no	—
93	C₃×C₄×Q₈	—	5	2	no	—
94	C₃×C₄×Q₈	—	5	2	no	—
95	C₃×C₄×Q₈	—	10	1	no	—
96	C₃×C₄×Q₈	—	10	1	no	—
97	C₂×C₃×C₄⋊C₄	—	5	1	no	—
98	C₂×C₃×C₄⋊C₄	—	10	1	no	—
99	C₂×C₃×C₄²	—	10	1	no	—
100	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic
101	C₃×C₄⋊C₈	—	5	2	no	—
102	C₃×C₄⋊C₈	—	10	1	no	—
103	C₃×C₄×C₈	—	2	1	no	—
104	C₃×C₄×C₈	C₂×D₅	1	2	yes	—
105	C₂²×C₄×C₅	C₂×C₃×C₄	1	1	yes	characteristic
106	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
108	C₂²×Dic₅	—	2	1	no	—
109	C₂²×Dic₅	—	2	1	no	—
110	C₂×Dic₁₀	—	2	1	no	—
111	C₂×Dic₁₀	—	2	2	no	—
112	C₂×Dic₁₀	C₃×C₈	1	4	yes	complemented
113	C₂×Dic₁₀	C₂×C₃×C₄	1	2	yes	—
114	C₂×C₅×C₈	—	2	4	no	—
115	C₂×C₅×C₈	—	2	2	no	—
116	C₄²×C₅	C₂×C₃×C₄	1	1	yes	characteristic
117	C₄²×C₅	C₃×D₄	1	1	yes	characteristic
118	C₄²×C₅	C₃×D₄	1	1	yes	characteristic
119	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
120	C₄⋊Dic₅	—	2	1	no	—
121	C₄⋊Dic₅	C₂×C₃×C₄	1	2	yes	—
122	#683	—	2	2	no	—
123	#683	—	2	2	no	—
124	C₄×Dic₅	—	2	2	no	—
125	C₄×Dic₅	—	2	2	no	—
126	C₂×#168	—	2	2	no	—
127	C₂×#168	—	4	2	no	—
128	C₂×C₄×Q₈	—	5	1	no	—
129	C₂×C₄⋊C₈	—	5	1	no	—
130	C₂×C₄×C₈	C₃×D₅	1	1	yes	characteristic
131	Q₈⋊C₈	—	5	4	no	—
132	C₂²×C₃×C₅	C₂²⋊C₈	1	2	yes	—
133	C₂²×C₃×C₅	#103	1	2	yes	—
134	C₂²×C₃×C₅	#104	1	2	yes	—
135	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
136	C₃×C₄×C₅	—	2	1	no	—
137	C₃×C₄×C₅	—	2	1	no	—
138	C₃×C₄×C₅	C₂²⋊C₈	1	2	yes	—
139	C₃×C₄×C₅	#103	1	2	yes	—
140	C₃×C₄×C₅	C₂²×C₈	1	1	yes	characteristic
141	C₃×C₄×C₅	C₂×M₁₆	1	1	yes	characteristic
142	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
143	C₃×C₄×C₅	C₂×Q₁₆	1	1	yes	characteristic
144	C₃×Dic₅	—	2	4	no	—
145	C₃×Dic₅	—	4	2	no	—
146	C₂×C₃×Q₈	—	5	4	no	—
147	C₂×C₃×Q₈	—	5	2	no	—
148	C₂×C₃×Q₈	—	10	2	no	—
149	C₂×C₃×Q₈	—	10	1	no	—
150	C₂²×C₃×C₄	—	10	1	no	—
151	C₂²×C₃×C₄	—	10	1	no	—
152	C₂²×C₃×C₄	C₄×D₅	1	1	yes	characteristic
153	C₂²×C₃×C₄	D₂₀	1	1	yes	characteristic
154	C₂²×C₃×C₄	C₂²⋊D₅	1	1	yes	characteristic
155	C₂×C₃×C₈	—	2	4	no	—
156	C₂×C₃×C₈	—	2	2	no	—
157	C₂×C₃×C₈	—	10	2	no	—
158	C₂×C₃×C₈	—	20	2	no	—
159	C₃×C₄⋊C₄	—	5	2	no	—
160	C₃×C₄⋊C₄	—	10	2	no	—
161	C₃×C₄⋊C₄	—	10	1	no	—
162	C₃×C₄⋊C₄	—	10	2	no	—
163	C₃×C₄²	—	10	2	no	—
164	C₃×C₄²	—	10	2	no	—
165	C₃×C₄²	C₄×D₅	1	1	yes	characteristic
166	C₃×C₄²	D₂₀	1	1	yes	characteristic
167	C₃×C₄²	C₂²⋊D₅	1	1	yes	characteristic
168	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
169	C₂³×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
170	C₂×C₄×C₅	—	2	2	no	—
171	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
172	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
173	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
174	C₂×C₄×C₅	C₂×C₃×C₈	1	2	yes	—
175	C₂×C₄×C₅	C₃×M₁₆	1	2	yes	—
176	C₂×C₄×C₅	C₃×SD₁₆	1	2	yes	—
177	C₂×C₄×C₅	C₃×Q₁₆	1	2	yes	—
178	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
179	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
180	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
181	C₂×Dic₅	—	2	4	no	—
182	C₂×Dic₅	—	2	2	no	—
183	C₂×Dic₅	—	2	2	no	—
184	C₂×Dic₅	—	4	2	no	—
185	Dic₁₀	—	2	4	no	—
186	Dic₁₀	—	2	2	no	—
187	Dic₁₀	C₂×C₃×C₈	1	4	yes	complemented
188	C₅×C₈	—	2	4	no	—
189	#168	—	4	2	no	—
190	C₂²×Q₈	—	5	1	no	—
191	C₂²×C₈	—	2	1	no	—
192	C₂²×C₈	—	10	1	no	—
193	C₄×Q₈	—	5	2	no	—
194	C₄×Q₈	—	5	2	no	—
195	C₄×Q₈	—	10	1	no	—
196	C₄×Q₈	—	10	1	no	—
197	C₂×C₄⋊C₄	—	5	1	no	—
198	C₂×C₄⋊C₄	—	10	1	no	—
199	C₂×C₄²	—	10	1	no	—
200	C₂×C₄²	C₂×C₃×D₅	1	1	yes	characteristic
201	C₄⋊C₈	—	5	2	no	—
202	C₄⋊C₈	—	10	1	no	—
203	C₄×C₈	—	2	1	no	—
204	C₄×C₈	C₂×C₃×D₅	1	2	yes	—
205	C₂×C₃×C₅	Q₈⋊C₈	1	4	yes	complemented
206	C₂×C₃×C₅	C₂×C₂²⋊C₈	1	1	yes	characteristic
207	C₂×C₃×C₅	C₂×#103	1	1	yes	characteristic
208	C₂×C₃×C₅	C₂×#104	1	1	yes	characteristic
209	C₂³×C₃	#685	1	1	yes	characteristic
210	C₃×Q₈	—	5	4	no	—
211	C₃×Q₈	—	10	4	no	—
212	C₃×Q₈	—	10	2	no	—
213	C₂×C₃×C₄	—	2	2	no	—
214	C₂×C₃×C₄	—	10	4	no	—
215	C₂×C₃×C₄	—	10	2	no	—
216	C₂×C₃×C₄	—	10	2	no	—
217	C₂×C₃×C₄	—	20	2	no	—
218	C₂×C₃×C₄	C₈×D₅	1	2	yes	—
219	C₂×C₃×C₄	#676	1	2	yes	—
220	C₂×C₃×C₄	#677	1	2	yes	—
221	C₂×C₃×C₄	Dic₂₀	1	2	yes	—
222	C₂×C₃×C₄	#685	1	1	yes	characteristic
223	C₂×C₃×C₄	#685	1	1	yes	characteristic
224	C₂×C₃×C₄	#685	1	1	yes	characteristic
225	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
226	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
227	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
228	C₃×C₈	—	2	4	no	—
229	C₃×C₈	—	20	2	no	—
230	C₂²×C₅	C₃×C₂²⋊C₈	1	2	yes	—
231	C₂²×C₅	C₃×#103	1	2	yes	—
232	C₂²×C₅	C₃×#104	1	2	yes	—
233	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
234	C₄×C₅	—	2	1	no	—
235	C₄×C₅	—	2	1	no	—
236	C₄×C₅	C₃×C₂²⋊C₈	1	2	yes	—
237	C₄×C₅	C₃×#103	1	2	yes	—
238	C₄×C₅	C₂²×C₃×C₈	1	1	yes	characteristic
239	C₄×C₅	C₂×C₃×M₁₆	1	1	yes	characteristic
240	C₄×C₅	C₂×C₃×SD₁₆	1	1	yes	characteristic
241	C₄×C₅	C₂×C₃×Q₁₆	1	1	yes	characteristic
242	Dic₅	—	2	4	no	—
243	Dic₅	—	4	2	no	—
244	C₂×Q₈	—	5	4	no	—
245	C₂×Q₈	—	5	2	no	—
246	C₂×Q₈	—	10	2	no	—
247	C₂×Q₈	—	10	1	no	—
248	C₂²×C₄	—	10	1	no	—
249	C₂²×C₄	—	10	1	no	—
250	C₂²×C₄	C₃×C₄×D₅	1	1	yes	characteristic
251	C₂²×C₄	C₃×D₂₀	1	1	yes	characteristic
252	C₂²×C₄	C₃×C₂²⋊D₅	1	1	yes	characteristic
253	C₂×C₈	—	2	4	no	—
254	C₂×C₈	—	2	2	no	—
255	C₂×C₈	—	10	2	no	—
256	C₂×C₈	—	20	2	no	—
257	C₄⋊C₄	—	5	2	no	—
258	C₄⋊C₄	—	10	1	no	—
259	C₄⋊C₄	—	10	2	no	—
260	C₄⋊C₄	—	10	2	no	—
261	C₄²	—	10	2	no	—
262	C₄²	—	10	2	no	—
263	C₄²	C₃×C₄×D₅	1	1	yes	characteristic
264	C₄²	C₃×D₂₀	1	1	yes	characteristic
265	C₄²	C₃×C₂²⋊D₅	1	1	yes	characteristic
266	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
267	C₃×C₅	C₂×Q₈⋊C₈	1	1	yes	characteristic, complemented, Hall
268	C₂²×C₃	#3937	1	2	yes	—
269	C₂²×C₃	#3948	1	2	yes	—
270	C₂²×C₃	#3952	1	2	yes	—
271	C₂²×C₃	C₂×#685	1	1	yes	characteristic
272	C₃×C₄	—	2	1	no	—
273	C₃×C₄	—	2	1	no	—
274	C₃×C₄	—	10	4	no	—
275	C₃×C₄	—	20	2	no	—
276	C₃×C₄	#3948	1	2	yes	—
277	C₃×C₄	#3952	1	2	yes	—
278	C₃×C₄	C₂×C₈×D₅	1	1	yes	characteristic
279	C₃×C₄	C₂×#676	1	1	yes	characteristic
280	C₃×C₄	C₂×#677	1	1	yes	characteristic
281	C₃×C₄	C₂×Dic₂₀	1	1	yes	characteristic
282	C₂×C₅	C₃×Q₈⋊C₈	1	4	yes	complemented
283	C₂×C₅	C₂×C₃×C₂²⋊C₈	1	1	yes	characteristic
284	C₂×C₅	C₂×C₃×#103	1	1	yes	characteristic
285	C₂×C₅	C₂×C₃×#104	1	1	yes	characteristic
286	C₂³	C₃×#685	1	1	yes	characteristic
287	Q₈	—	5	4	no	—
288	Q₈	—	10	4	no	—
289	Q₈	—	10	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	10	4	no	—
292	C₂×C₄	—	10	2	no	—
293	C₂×C₄	—	10	2	no	—
294	C₂×C₄	—	20	2	no	—
295	C₂×C₄	C₃×C₈×D₅	1	2	yes	—
296	C₂×C₄	C₃×#676	1	2	yes	—
297	C₂×C₄	C₃×#677	1	2	yes	—
298	C₂×C₄	C₃×Dic₂₀	1	2	yes	—
299	C₂×C₄	C₃×#685	1	1	yes	characteristic
300	C₂×C₄	C₃×#685	1	1	yes	characteristic
301	C₂×C₄	C₃×#685	1	1	yes	characteristic
302	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
303	C₂×C₄	C₂×C₃×D₂₀	1	1	yes	characteristic
304	C₂×C₄	C₂×C₃×C₂²⋊D₅	1	1	yes	characteristic
305	C₈	—	2	4	no	—
306	C₈	—	20	2	no	—
307	C₂×C₃	#64676	1	4	yes	direct product factor
308	C₂×C₃	C₂×#3937	1	1	yes	characteristic
309	C₂×C₃	C₂×#3948	1	1	yes	characteristic
310	C₂×C₃	C₂×#3952	1	1	yes	characteristic
311	C₅	C₂×C₃×Q₈⋊C₈	1	1	yes	characteristic, complemented, Sylow
312	C₂²	C₃×#3937	1	2	yes	—
313	C₂²	C₃×#3948	1	2	yes	—
314	C₂²	C₃×#3952	1	2	yes	—
315	C₂²	C₂×C₃×#685	1	1	yes	characteristic
316	C₄	—	2	1	no	—
317	C₄	—	2	1	no	—
318	C₄	—	10	4	no	—
319	C₄	—	20	2	no	—
320	C₄	C₃×#3948	1	2	yes	—
321	C₄	C₃×#3952	1	2	yes	—
322	C₄	C₂×C₃×C₈×D₅	1	1	yes	characteristic
323	C₄	C₂×C₃×#676	1	1	yes	characteristic
324	C₄	C₂×C₃×#677	1	1	yes	characteristic
325	C₄	C₂×C₃×Dic₂₀	1	1	yes	characteristic
326	C₃	C₂×#64676	1	1	yes	characteristic, direct product factor, Sylow
327	C₂	C₃×#64676	1	4	yes	direct product factor
328	C₂	C₂×C₃×#3937	1	1	yes	characteristic
329	C₂	C₂×C₃×#3948	1	1	yes	characteristic
330	C₂	C₂×C₃×#3952	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃×C₄	D₂₀
commutator	C₄×C₅	C₂²×C₃×C₈
Frattini	C₄²	C₂²×C₃×D₅
Fitting	C₂×C₃×C₄×C₅×C₈	C₂
socle, prime radical	C₂³×C₃×C₅	C₂²⋊C₄
cosocle	C₄²×C₅	C₂³×C₃
hypercenter	C₂×C₃×C₄×C₈	D₅
hypocenter	C₅	C₂×C₃×Q₈⋊C₈
LCS	G ▷ C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×C₄² ◁ C₂×C₃×C₄×C₈

Complements

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

N	H ≅ G/N	type
4. C₃×#64676	C₂	direct (N × H)
5. C₂×#64676	C₃	direct (N × H)
25. #64676	C₂×C₃	direct (N × H)
33. C₂×C₃×Dic₁₀	C₈	semidirect
87. C₃×Dic₁₀	C₂×C₈	semidirect
112. C₂×Dic₁₀	C₃×C₈	semidirect
187. Dic₁₀	C₂×C₃×C₈	semidirect
205. C₂×C₃×C₅	Q₈⋊C₈	semidirect
267. C₃×C₅	C₂×Q₈⋊C₈	semidirect
282. C₂×C₅	C₃×Q₈⋊C₈	semidirect
307. C₂×C₃	#64676	direct (N × H)
311. C₅	C₂×C₃×Q₈⋊C₈	semidirect
326. C₃	C₂×#64676	direct (N × H)
327. C₂	C₃×#64676	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×C₃×C₄×Dic₁₀	2
C₂×C₃×C₄×C₅×C₈	2
C₂×C₃×C₄⋊#168	2
C₃×#64676	2
C₂×#64676	3
C₂×C₃×Q₈⋊C₈	5

Subgroups — C2×C3×#64676 #14281521

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#64676 #14281521