Subgroups — C₂×C₃×#64734 #14312898

Order 1920.

472 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	C₂²×C₃×#676	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×M₃₂	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#3944	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#64734	C₂	1	4	yes	maximal, direct product factor
5	C₂×#64734	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂²×C₃×C₄×D₅	C₄	1	1	yes	characteristic
7	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
8	C₂²×C₃×#168	C₄	1	1	yes	characteristic
9	C₂×C₃×#676	—	2	1	no	—
10	C₂×C₃×#676	—	2	1	no	—
11	C₂×C₃×#676	—	2	1	no	—
12	C₂×C₃×#676	—	2	1	no	—
13	C₂×C₃×#676	C₄	1	2	yes	—
14	C₂×C₃×#676	C₂²	1	2	yes	—
15	C₃×C₅×M₃₂	—	2	1	no	—
16	C₃×C₅×M₃₂	C₂²	1	2	yes	complemented
17	C₂×C₃×C₅×C₁₆	—	2	1	no	—
18	C₃×#3944	—	2	1	no	—
19	C₃×#3944	C₂²	1	2	yes	complemented
20	C₂×C₃×#672	—	2	1	no	—
21	C₂×C₃×#349	—	5	1	no	maximal, Hall
22	C₂²×#676	C₂×C₃	1	1	yes	characteristic
23	C₂×C₅×M₃₂	C₂×C₃	1	1	yes	characteristic, complemented
24	C₂×#3944	C₂×C₃	1	1	yes	characteristic, complemented
25	#64734	C₂×C₃	1	4	yes	direct product factor
26	C₂³×C₃×D₅	C₈	1	1	yes	characteristic
27	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
28	C₂²×C₃×Dic₅	C₈	1	1	yes	characteristic
29	C₂×C₃×C₄×D₅	—	2	1	no	—
30	C₂×C₃×C₄×D₅	—	2	1	no	—
31	C₂×C₃×C₄×D₅	—	2	1	no	—
32	C₂×C₃×C₄×D₅	—	2	1	no	—
33	C₂×C₃×C₄×D₅	C₈	1	2	yes	—
34	C₂×C₃×C₄×D₅	C₂×C₄	1	2	yes	—
35	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
36	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
37	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
38	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
39	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
40	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
41	C₂×C₃×#168	—	2	1	no	—
42	C₂×C₃×#168	—	2	1	no	—
43	C₂×C₃×#168	C₂×C₄	1	2	yes	—
44	C₃×#676	—	2	2	no	—
45	C₃×#676	—	2	2	no	—
46	C₃×#676	—	2	2	no	—
47	C₃×#676	—	2	2	no	—
48	C₃×C₅×C₁₆	—	2	2	no	—
49	C₃×#672	—	2	2	no	—
50	C₂²×C₃×M₁₆	—	5	1	no	—
51	C₂×C₃×M₃₂	—	5	1	no	—
52	C₂×C₃×M₃₂	D₅	1	1	yes	characteristic, complemented
53	C₃×#349	—	5	4	no	—
54	C₂²×C₄×D₅	C₃×C₄	1	1	yes	characteristic
55	C₂²×C₅×C₈	C₂²×C₃	1	1	yes	characteristic
56	C₂²×#168	C₃×C₄	1	1	yes	characteristic
57	C₂×#676	—	2	1	no	—
58	C₂×#676	—	2	1	no	—
59	C₂×#676	—	2	1	no	—
60	C₂×#676	—	2	1	no	—
61	C₂×#676	C₃×C₄	1	2	yes	—
62	C₂×#676	C₂²×C₃	1	2	yes	—
63	C₅×M₃₂	—	2	1	no	—
64	C₅×M₃₂	C₂²×C₃	1	2	yes	complemented
65	C₂×C₅×C₁₆	—	2	1	no	—
66	#3944	—	2	1	no	—
67	#3944	C₂²×C₃	1	2	yes	complemented
68	C₂×#672	—	2	1	no	—
69	C₂×#349	—	5	1	no	Sylow
70	C₂³×C₃×C₅	C₂×C₈	1	1	yes	characteristic
71	C₂²×C₃×D₅	—	2	1	no	—
72	C₂²×C₃×D₅	—	2	1	no	—
73	C₂²×C₃×D₅	—	4	2	no	—
74	C₂²×C₃×D₅	C₂×C₈	1	2	yes	—
75	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
76	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
77	C₂×C₃×C₄×C₅	C₂×C₈	1	1	yes	characteristic
78	C₂×C₃×C₄×C₅	M₁₆	1	1	yes	characteristic
79	C₂×C₃×C₄×C₅	M₁₆	1	1	yes	characteristic
80	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
81	C₂×C₃×Dic₅	—	2	1	no	—
82	C₂×C₃×Dic₅	—	2	1	no	—
83	C₂×C₃×Dic₅	C₂×C₈	1	2	yes	—
84	C₃×C₄×D₅	—	2	2	no	—
85	C₃×C₄×D₅	—	2	2	no	—
86	C₃×C₄×D₅	—	2	2	no	—
87	C₃×C₄×D₅	—	2	2	no	—
88	C₃×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
89	C₃×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
90	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
91	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
92	C₃×#168	—	2	2	no	—
93	C₂³×C₃×C₄	—	5	1	no	—
94	C₂×C₃×M₁₆	—	5	2	no	—
95	C₂×C₃×M₁₆	—	5	2	no	—
96	C₂×C₃×M₁₆	—	10	1	no	—
97	C₂×C₃×M₁₆	—	10	1	no	—
98	C₂×C₃×M₁₆	—	10	1	no	—
99	C₂×C₃×M₁₆	—	10	1	no	—
100	C₂²×C₃×C₈	—	5	1	no	—
101	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
102	C₃×M₃₂	—	2	1	no	—
103	C₃×M₃₂	—	5	2	no	—
104	C₃×M₃₂	—	10	1	no	—
105	C₃×M₃₂	C₂×D₅	1	2	yes	complemented
106	C₂×C₃×C₁₆	—	2	1	no	—
107	C₂×C₃×C₁₆	—	10	1	no	—
108	C₂³×D₅	C₃×C₈	1	1	yes	characteristic
109	C₂²×C₄×C₅	C₂×C₃×C₄	1	1	yes	characteristic
110	C₂²×Dic₅	C₃×C₈	1	1	yes	characteristic
111	C₂×C₄×D₅	—	2	1	no	—
112	C₂×C₄×D₅	—	2	1	no	—
113	C₂×C₄×D₅	—	2	1	no	—
114	C₂×C₄×D₅	—	2	1	no	—
115	C₂×C₄×D₅	C₃×C₈	1	2	yes	—
116	C₂×C₄×D₅	C₂×C₃×C₄	1	2	yes	—
117	C₂×C₅×C₈	C₂×C₃×C₄	1	1	yes	characteristic
118	C₂×C₅×C₈	C₃×D₄	1	1	yes	characteristic
119	C₂×C₅×C₈	C₃×D₄	1	1	yes	characteristic
120	C₂×C₅×C₈	C₃×D₄	1	1	yes	characteristic
121	C₂×C₅×C₈	C₃×D₄	1	1	yes	characteristic
122	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
123	C₂×#168	—	2	1	no	—
124	C₂×#168	—	2	1	no	—
125	C₂×#168	C₂×C₃×C₄	1	2	yes	—
126	#676	—	2	2	no	—
127	#676	—	2	2	no	—
128	#676	—	2	2	no	—
129	#676	—	2	2	no	—
130	C₅×C₁₆	—	2	2	no	—
131	#672	—	2	2	no	—
132	C₂²×M₁₆	—	5	1	no	—
133	C₂×M₃₂	—	5	1	no	—
134	C₂×M₃₂	C₃×D₅	1	1	yes	characteristic, complemented
135	#349	—	5	4	no	—
136	C₂²×C₃×C₅	—	2	2	no	—
137	C₂²×C₃×C₅	C₂²⋊C₈	1	1	yes	characteristic
138	C₂²×C₃×C₅	C₂²⋊C₈	1	1	yes	characteristic
139	C₂²×C₃×C₅	C₂²×C₈	1	1	yes	characteristic
140	C₂×C₃×D₅	—	2	2	no	—
141	C₂×C₃×D₅	—	4	2	no	—
142	C₂×C₃×D₅	—	4	2	no	—
143	C₂×C₃×D₅	—	4	2	no	—
144	C₃×C₄×C₅	C₂²⋊C₈	1	1	yes	characteristic
145	C₃×C₄×C₅	C₂²⋊C₈	1	1	yes	characteristic
146	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
147	C₃×C₄×C₅	C₂×M₁₆	1	1	yes	characteristic
148	C₃×Dic₅	—	2	2	no	—
149	C₂⁴×C₃	—	5	1	no	—
150	C₂²×C₃×C₄	—	5	1	no	—
151	C₂²×C₃×C₄	—	5	2	no	—
152	C₂²×C₃×C₄	—	5	2	no	—
153	C₂²×C₃×C₄	—	10	1	no	—
154	C₂²×C₃×C₄	—	10	1	no	—
155	C₂²×C₃×C₄	—	10	1	no	—
156	C₂²×C₃×C₄	—	10	1	no	—
157	C₂²×C₃×C₄	C₄×D₅	1	1	yes	characteristic
158	C₃×M₁₆	—	10	2	no	—
159	C₃×M₁₆	—	10	2	no	—
160	C₃×M₁₆	—	10	2	no	—
161	C₃×M₁₆	—	10	2	no	—
162	C₂×C₃×C₈	—	5	2	no	—
163	C₂×C₃×C₈	—	10	1	no	—
164	C₂×C₃×C₈	—	10	1	no	—
165	C₂×C₃×C₈	C₄×D₅	1	1	yes	characteristic
166	C₂×C₃×C₈	D₂₀	1	1	yes	characteristic
167	C₂×C₃×C₈	D₂₀	1	1	yes	characteristic
168	C₂×C₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
169	C₂×C₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
170	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
171	C₃×C₁₆	—	2	2	no	—
172	C₃×C₁₆	—	10	2	no	—
173	C₂³×C₅	C₂×C₃×C₈	1	1	yes	characteristic
174	C₂²×D₅	—	2	1	no	—
175	C₂²×D₅	—	2	1	no	—
176	C₂²×D₅	—	4	2	no	—
177	C₂²×D₅	C₂×C₃×C₈	1	2	yes	—
178	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
179	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
180	C₂×C₄×C₅	C₂×C₃×C₈	1	1	yes	characteristic
181	C₂×C₄×C₅	C₃×M₁₆	1	1	yes	characteristic
182	C₂×C₄×C₅	C₃×M₁₆	1	1	yes	characteristic
183	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
184	C₂×Dic₅	—	2	1	no	—
185	C₂×Dic₅	—	2	1	no	—
186	C₂×Dic₅	C₂×C₃×C₈	1	2	yes	—
187	C₄×D₅	—	2	2	no	—
188	C₄×D₅	—	2	2	no	—
189	C₄×D₅	—	2	2	no	—
190	C₄×D₅	—	2	2	no	—
191	C₅×C₈	C₃×C₂²⋊C₄	1	1	yes	characteristic
192	C₅×C₈	C₃×C₂²⋊C₄	1	1	yes	characteristic
193	C₅×C₈	C₂×C₃×D₄	1	1	yes	characteristic
194	C₅×C₈	C₂×C₃×D₄	1	1	yes	characteristic
195	#168	—	2	2	no	—
196	C₂³×C₄	—	5	1	no	—
197	C₂×M₁₆	—	5	2	no	—
198	C₂×M₁₆	—	5	2	no	—
199	C₂×M₁₆	—	10	1	no	—
200	C₂×M₁₆	—	10	1	no	—
201	C₂×M₁₆	—	10	1	no	—
202	C₂×M₁₆	—	10	1	no	—
203	C₂²×C₈	—	5	1	no	—
204	C₂²×C₈	C₂×C₃×D₅	1	1	yes	characteristic
205	M₃₂	—	2	1	no	—
206	M₃₂	—	5	2	no	—
207	M₃₂	—	10	1	no	—
208	M₃₂	C₂×C₃×D₅	1	2	yes	complemented
209	C₂×C₁₆	—	2	1	no	—
210	C₂×C₁₆	—	10	1	no	—
211	C₂×C₃×C₅	—	2	1	no	—
212	C₂×C₃×C₅	—	2	1	no	—
213	C₂×C₃×C₅	#349	1	2	yes	complemented
214	C₂×C₃×C₅	C₂×C₂²⋊C₈	1	1	yes	characteristic
215	C₃×D₅	—	4	2	no	—
216	C₂³×C₃	—	5	2	no	—
217	C₂³×C₃	—	10	1	no	—
218	C₂³×C₃	—	10	1	no	—
219	C₂³×C₃	—	20	2	no	—
220	C₂³×C₃	C₈×D₅	1	1	yes	characteristic
221	C₂×C₃×C₄	—	5	2	no	—
222	C₂×C₃×C₄	—	10	1	no	—
223	C₂×C₃×C₄	—	10	1	no	—
224	C₂×C₃×C₄	—	10	2	no	—
225	C₂×C₃×C₄	—	10	2	no	—
226	C₂×C₃×C₄	—	10	2	no	—
227	C₂×C₃×C₄	—	10	2	no	—
228	C₂×C₃×C₄	C₈×D₅	1	1	yes	characteristic
229	C₂×C₃×C₄	#676	1	1	yes	characteristic
230	C₂×C₃×C₄	#676	1	1	yes	characteristic
231	C₂×C₃×C₄	#685	1	1	yes	characteristic
232	C₂×C₃×C₄	#685	1	1	yes	characteristic
233	C₂×C₃×C₄	C₂×C₄×D₅	1	1	yes	characteristic
234	C₃×C₈	—	10	2	no	—
235	C₃×C₈	#685	1	1	yes	characteristic
236	C₃×C₈	#685	1	1	yes	characteristic
237	C₃×C₈	C₂×D₂₀	1	1	yes	characteristic
238	C₃×C₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
239	C₂²×C₅	—	2	2	no	—
240	C₂²×C₅	C₃×C₂²⋊C₈	1	1	yes	characteristic
241	C₂²×C₅	C₃×C₂²⋊C₈	1	1	yes	characteristic
242	C₂²×C₅	C₂²×C₃×C₈	1	1	yes	characteristic
243	C₂×D₅	—	2	2	no	—
244	C₂×D₅	—	4	2	no	—
245	C₂×D₅	—	4	2	no	—
246	C₂×D₅	—	4	2	no	—
247	C₄×C₅	C₃×C₂²⋊C₈	1	1	yes	characteristic
248	C₄×C₅	C₃×C₂²⋊C₈	1	1	yes	characteristic
249	C₄×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
250	C₄×C₅	C₂×C₃×M₁₆	1	1	yes	characteristic
251	Dic₅	—	2	2	no	—
252	C₂⁴	—	5	1	no	—
253	C₂²×C₄	—	5	1	no	—
254	C₂²×C₄	—	5	2	no	—
255	C₂²×C₄	—	5	2	no	—
256	C₂²×C₄	—	10	1	no	—
257	C₂²×C₄	—	10	1	no	—
258	C₂²×C₄	—	10	1	no	—
259	C₂²×C₄	—	10	1	no	—
260	C₂²×C₄	C₃×C₄×D₅	1	1	yes	characteristic
261	M₁₆	—	10	2	no	—
262	M₁₆	—	10	2	no	—
263	M₁₆	—	10	2	no	—
264	M₁₆	—	10	2	no	—
265	C₂×C₈	—	5	2	no	—
266	C₂×C₈	—	10	1	no	—
267	C₂×C₈	—	10	1	no	—
268	C₂×C₈	C₃×C₄×D₅	1	1	yes	characteristic
269	C₂×C₈	C₃×D₂₀	1	1	yes	characteristic
270	C₂×C₈	C₃×D₂₀	1	1	yes	characteristic
271	C₂×C₈	C₃×C₂²⋊D₅	1	1	yes	characteristic
272	C₂×C₈	C₃×C₂²⋊D₅	1	1	yes	characteristic
273	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
274	C₁₆	—	2	2	no	—
275	C₁₆	—	10	2	no	—
276	C₃×C₅	C₂×#349	1	1	yes	characteristic, complemented, Hall
277	C₂²×C₃	—	2	2	no	—
278	C₂²×C₃	—	10	2	no	—
279	C₂²×C₃	—	20	2	no	—
280	C₂²×C₃	—	20	2	no	—
281	C₂²×C₃	—	20	2	no	—
282	C₂²×C₃	#3952	1	1	yes	characteristic
283	C₂²×C₃	#3952	1	1	yes	characteristic
284	C₂²×C₃	C₂×C₈×D₅	1	1	yes	characteristic
285	C₃×C₄	—	10	2	no	—
286	C₃×C₄	#3952	1	1	yes	characteristic
287	C₃×C₄	#3952	1	1	yes	characteristic
288	C₃×C₄	C₂×#676	1	1	yes	characteristic
289	C₃×C₄	C₂×#685	1	1	yes	characteristic
290	C₂×C₅	—	2	1	no	—
291	C₂×C₅	—	2	1	no	—
292	C₂×C₅	C₃×#349	1	2	yes	complemented
293	C₂×C₅	C₂×C₃×C₂²⋊C₈	1	1	yes	characteristic
294	D₅	—	4	2	no	—
295	C₂³	—	5	2	no	—
296	C₂³	—	10	1	no	—
297	C₂³	—	10	1	no	—
298	C₂³	—	20	2	no	—
299	C₂³	C₃×C₈×D₅	1	1	yes	characteristic
300	C₂×C₄	—	5	2	no	—
301	C₂×C₄	—	10	1	no	—
302	C₂×C₄	—	10	1	no	—
303	C₂×C₄	—	10	2	no	—
304	C₂×C₄	—	10	2	no	—
305	C₂×C₄	—	10	2	no	—
306	C₂×C₄	—	10	2	no	—
307	C₂×C₄	C₃×C₈×D₅	1	1	yes	characteristic
308	C₂×C₄	C₃×#676	1	1	yes	characteristic
309	C₂×C₄	C₃×#676	1	1	yes	characteristic
310	C₂×C₄	C₃×#685	1	1	yes	characteristic
311	C₂×C₄	C₃×#685	1	1	yes	characteristic
312	C₂×C₄	C₂×C₃×C₄×D₅	1	1	yes	characteristic
313	C₈	—	10	2	no	—
314	C₈	C₃×#685	1	1	yes	characteristic
315	C₈	C₃×#685	1	1	yes	characteristic
316	C₈	C₂×C₃×D₂₀	1	1	yes	characteristic
317	C₈	C₂×C₃×C₂²⋊D₅	1	1	yes	characteristic
318	C₂×C₃	—	2	1	no	—
319	C₂×C₃	—	2	1	no	—
320	C₂×C₃	—	20	2	no	—
321	C₂×C₃	#64734	1	2	yes	direct product factor
322	C₂×C₃	C₂×#3952	1	1	yes	characteristic
323	C₅	C₂×C₃×#349	1	1	yes	characteristic, complemented, Sylow
324	C₂²	—	2	2	no	—
325	C₂²	—	10	2	no	—
326	C₂²	—	20	2	no	—
327	C₂²	—	20	2	no	—
328	C₂²	—	20	2	no	—
329	C₂²	C₃×#3952	1	1	yes	characteristic
330	C₂²	C₃×#3952	1	1	yes	characteristic
331	C₂²	C₂×C₃×C₈×D₅	1	1	yes	characteristic
332	C₄	—	10	2	no	—
333	C₄	C₃×#3952	1	1	yes	characteristic
334	C₄	C₃×#3952	1	1	yes	characteristic
335	C₄	C₂×C₃×#676	1	1	yes	characteristic
336	C₄	C₂×C₃×#685	1	1	yes	characteristic
337	C₃	C₂×#64734	1	1	yes	characteristic, direct product factor, Sylow
338	C₂	—	2	1	no	—
339	C₂	—	2	1	no	—
340	C₂	—	20	2	no	—
341	C₂	C₃×#64734	1	2	yes	direct product factor
342	C₂	C₂×C₃×#3952	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	#685
commutator	C₂²×C₅	C₂²×C₃×C₈
Frattini	C₂×C₈	C₂²×C₃×D₅
Fitting	C₂×C₃×C₅×M₃₂	C₂
socle	C₂²×C₃×C₅	C₂²⋊C₈
prime radical	C₂³×C₃×D₅	C₈
cosocle	C₂×C₅×C₈	C₂³×C₃
hypercenter	C₂×C₃×M₃₂	D₅
hypocenter	C₅	C₂×C₃×#349
LCS	G ▷ C₂²×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₂²×C₃×C₈ ◁ C₂×C₃×M₃₂

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₅×M₃₂	C₂	semidirect
3. C₂×C₃×#3944	C₂	semidirect
4. C₃×#64734	C₂	direct (N × H)
5. C₂×#64734	C₃	direct (N × H)
16. C₃×C₅×M₃₂	C₂²	semidirect
19. C₃×#3944	C₂²	semidirect
23. C₂×C₅×M₃₂	C₂×C₃	semidirect
24. C₂×#3944	C₂×C₃	semidirect
25. #64734	C₂×C₃	direct (N × H)
52. C₂×C₃×M₃₂	D₅	semidirect
64. C₅×M₃₂	C₂²×C₃	semidirect
67. #3944	C₂²×C₃	semidirect
105. C₃×M₃₂	C₂×D₅	semidirect
134. C₂×M₃₂	C₃×D₅	semidirect
208. M₃₂	C₂×C₃×D₅	semidirect
213. C₂×C₃×C₅	#349	semidirect
276. C₃×C₅	C₂×#349	semidirect
292. C₂×C₅	C₃×#349	semidirect
321. C₂×C₃	#64734	direct (N × H)
323. C₅	C₂×C₃×#349	semidirect
337. C₃	C₂×#64734	direct (N × H)
341. C₂	C₃×#64734	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×C₃×#676	2
C₂×C₃×C₅×M₃₂	2
C₂×C₃×#3944	2
C₃×#64734	2
C₂×#64734	3
C₂×C₃×#349	5

Subgroups — C2×C3×#64734 #14312898

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#64734 #14312898