Subgroups — C₂×C₃×#65911 #14482979

Order 1920.

3472 conjugacy classes of subgroups.

The subgroup lattice has 312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×#713	C₂	1	2	yes	maximal, complemented
2	C₂×C₃×C₄×C₅×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65911	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₃×#4041	C₂	1	6	yes	maximal, complemented
5	C₂×C₃×#4020	C₂	1	3	yes	maximal, complemented
6	C₂×C₃×C₄×D₂₀	C₂	1	3	yes	maximal, complemented
7	C₂×#65911	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₂²×C₃×C₅×Q₈	C₂²	1	1	yes	characteristic
9	C₂×C₃×#713	—	2	16	no	—
10	C₂×C₃×#713	C₂²	1	16	yes	complemented
11	C₂²×C₃×D₂₀	C₂²	1	6	yes	—
12	C₂²×C₃×D₂₀	C₂²	1	3	yes	—
13	C₂²×C₃×D₂₀	C₂²	1	6	yes	—
14	C₂²×C₃×C₄×D₅	C₂²	1	6	yes	—
15	C₃×C₄×C₅×Q₈	C₂²	1	8	yes	complemented
16	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	3	yes	—
17	C₂×C₃×C₄²×C₅	C₂²	1	3	yes	—
18	C₂×C₃×#685	C₂²	1	6	yes	—
19	C₂×C₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
20	C₃×#4041	C₂²	1	48	yes	complemented
21	C₃×#4020	C₂²	1	24	yes	complemented
22	C₃×C₄×D₂₀	C₂²	1	24	yes	complemented
23	C₂×C₃×#550	—	5	1	no	maximal, Hall
24	C₂²×#713	C₂×C₃	1	2	yes	complemented
25	C₂×C₄×C₅×Q₈	C₂×C₃	1	1	yes	characteristic, complemented
26	#65911	C₂×C₃	1	16	yes	direct product factor
27	C₂×#4041	C₂×C₃	1	6	yes	complemented
28	C₂×#4020	C₂×C₃	1	3	yes	complemented
29	C₂×C₄×D₂₀	C₂×C₃	1	3	yes	complemented
30	C₂³×C₃×D₅	C₂³	1	6	yes	—
31	C₂×C₃×C₅×Q₈	D₄	1	8	yes	complemented
32	C₂×C₃×C₅×Q₈	C₂³	1	4	yes	—
33	C₂²×C₃×C₄×C₅	C₂³	1	3	yes	—
34	C₂²×C₃×C₄×C₅	C₂³	1	3	yes	—
35	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
36	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
37	C₃×#713	—	2	64	no	—
38	C₂×C₃×D₂₀	—	2	24	no	—
39	C₂×C₃×D₂₀	—	2	12	no	—
40	C₂×C₃×D₂₀	—	4	12	no	—
41	C₂×C₃×D₂₀	C₂³	1	24	yes	—
42	C₂×C₃×D₂₀	C₂³	1	12	yes	—
43	C₂×C₃×D₂₀	C₂³	1	24	yes	—
44	C₂×C₃×C₄×D₅	—	2	24	no	—
45	C₂×C₃×C₄×D₅	C₂³	1	24	yes	—
46	C₃×C₅×C₄⋊C₄	C₂³	1	12	yes	—
47	C₃×C₄²×C₅	C₂³	1	12	yes	—
48	C₃×#685	C₂³	1	24	yes	—
49	C₃×C₄⋊Dic₅	C₂³	1	4	yes	—
50	C₂²×C₃×#41	—	5	2	no	—
51	C₃×#550	—	5	16	no	—
52	C₂×C₃×#127	—	5	3	no	—
53	C₂×C₃×#121	—	5	6	no	—
54	C₂×C₃×C₄×Q₈	D₅	1	1	yes	characteristic, complemented
55	C₂×C₃×C₄×D₄	—	5	3	no	—
56	C₂²×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
57	C₂×#713	—	2	16	no	—
58	C₂×#713	C₂²×C₃	1	16	yes	complemented
59	C₂²×D₂₀	C₂²×C₃	1	3	yes	—
60	C₂²×D₂₀	C₂²×C₃	1	6	yes	—
61	C₂²×D₂₀	C₂²×C₃	1	6	yes	—
62	C₂²×C₄×D₅	C₂²×C₃	1	6	yes	—
63	C₄×C₅×Q₈	C₂²×C₃	1	8	yes	complemented
64	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	3	yes	—
65	C₂×C₄²×C₅	C₂²×C₃	1	3	yes	—
66	C₂×#685	C₂²×C₃	1	6	yes	—
67	C₂×C₄⋊Dic₅	C₂²×C₃	1	1	yes	characteristic
68	#4041	C₂²×C₃	1	48	yes	complemented
69	#4020	C₂²×C₃	1	24	yes	complemented
70	C₄×D₂₀	C₂²×C₃	1	24	yes	complemented
71	C₂×#550	—	5	1	no	Sylow
72	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
73	C₂²×C₃×D₅	—	2	12	no	—
74	C₂²×C₃×D₅	—	2	12	no	—
75	C₂²×C₃×D₅	—	2	12	no	—
76	C₂²×C₃×D₅	C₂⁴	1	12	yes	—
77	C₃×C₅×Q₈	C₂×D₄	1	16	yes	complemented
78	C₂×C₃×C₄×C₅	—	2	6	no	—
79	C₂×C₃×C₄×C₅	C₂×D₄	1	12	yes	—
80	C₂×C₃×C₄×C₅	#41	1	4	yes	complemented
81	C₂×C₃×C₄×C₅	C₂⁴	1	6	yes	—
82	C₂×C₃×C₄×C₅	C₂⁴	1	6	yes	—
83	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
84	C₂×C₃×Dic₅	—	2	4	no	—
85	C₂×C₃×Dic₅	C₂⁴	1	4	yes	—
86	C₃×D₂₀	—	2	48	no	—
87	C₃×D₂₀	—	2	24	no	—
88	C₃×D₂₀	—	4	24	no	—
89	C₃×C₄×D₅	—	2	48	no	—
90	C₂×C₃×#41	—	5	16	no	—
91	C₂×C₃×#41	—	10	16	no	—
92	C₂²×C₃×Q₈	C₂×D₅	1	1	yes	characteristic
93	C₂²×C₃×D₄	—	5	6	no	—
94	C₂²×C₃×D₄	—	5	3	no	—
95	C₂²×C₃×D₄	—	5	6	no	—
96	C₂³×C₃×C₄	—	5	6	no	—
97	C₃×#127	—	5	24	no	—
98	C₃×#121	—	5	48	no	—
99	C₃×C₄×Q₈	C₂×D₅	1	8	yes	complemented
100	C₃×C₄×D₄	—	5	24	no	—
101	C₂×C₃×C₄⋊C₄	—	5	1	no	—
102	C₂×C₃×C₄⋊C₄	C₂×D₅	1	3	yes	—
103	C₂×C₃×C₂²⋊C₄	—	5	6	no	—
104	C₂×C₃×C₄²	C₂×D₅	1	3	yes	—
105	C₂³×D₅	C₂³×C₃	1	6	yes	—
106	C₂×C₅×Q₈	C₃×D₄	1	8	yes	complemented
107	C₂×C₅×Q₈	C₂³×C₃	1	4	yes	—
108	C₂²×C₄×C₅	C₂³×C₃	1	3	yes	—
109	C₂²×C₄×C₅	C₂³×C₃	1	3	yes	—
110	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
111	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
112	#713	—	2	64	no	—
113	C₂×D₂₀	—	2	24	no	—
114	C₂×D₂₀	—	2	12	no	—
115	C₂×D₂₀	—	4	12	no	—
116	C₂×D₂₀	C₂³×C₃	1	24	yes	—
117	C₂×D₂₀	C₂³×C₃	1	12	yes	—
118	C₂×D₂₀	C₂³×C₃	1	24	yes	—
119	C₂×C₄×D₅	—	2	24	no	—
120	C₂×C₄×D₅	C₂³×C₃	1	24	yes	—
121	C₅×C₄⋊C₄	C₂³×C₃	1	12	yes	—
122	C₄²×C₅	C₂³×C₃	1	12	yes	—
123	#685	C₂³×C₃	1	24	yes	—
124	C₄⋊Dic₅	C₂³×C₃	1	4	yes	—
125	C₂²×#41	—	5	2	no	—
126	#550	—	5	16	no	—
127	C₂×#127	—	5	3	no	—
128	C₂×#121	—	5	6	no	—
129	C₂×C₄×Q₈	C₃×D₅	1	1	yes	characteristic, complemented
130	C₂×C₄×D₄	—	5	3	no	—
131	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
132	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
133	C₂²×C₃×C₅	H(5,𝔽₂)	1	2	yes	—
134	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
135	C₂×C₃×D₅	—	2	12	no	—
136	C₂×C₃×D₅	—	2	12	no	—
137	C₂×C₃×D₅	—	2	12	no	—
138	C₂×C₃×D₅	—	4	24	no	—
139	C₃×C₄×C₅	—	2	6	no	—
140	C₃×C₄×C₅	C₂²×D₄	1	12	yes	—
141	C₃×C₄×C₅	C₂×#41	1	4	yes	complemented
142	C₃×Dic₅	—	2	4	no	—
143	C₂⁴×C₃	—	5	6	no	—
144	C₃×#41	—	10	64	no	—
145	C₂×C₃×Q₈	D₂₀	1	8	yes	complemented
146	C₂×C₃×Q₈	C₂²×D₅	1	4	yes	—
147	C₂×C₃×D₄	—	5	12	no	—
148	C₂×C₃×D₄	—	5	24	no	—
149	C₂×C₃×D₄	—	5	24	no	—
150	C₂×C₃×D₄	—	10	24	no	—
151	C₂×C₃×D₄	—	10	12	no	—
152	C₂×C₃×D₄	—	20	12	no	—
153	C₂²×C₃×C₄	—	5	2	no	—
154	C₂²×C₃×C₄	—	5	24	no	—
155	C₂²×C₃×C₄	—	10	24	no	—
156	C₂²×C₃×C₄	C₂²×D₅	1	3	yes	—
157	C₂²×C₃×C₄	C₂²×D₅	1	3	yes	—
158	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
159	C₃×C₄⋊C₄	—	5	4	no	—
160	C₃×C₄⋊C₄	C₂²×D₅	1	12	yes	—
161	C₃×C₂²⋊C₄	—	5	24	no	—
162	C₃×C₄²	C₂²×D₅	1	12	yes	—
163	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
164	C₂²×D₅	—	2	12	no	—
165	C₂²×D₅	—	2	12	no	—
166	C₂²×D₅	—	2	12	no	—
167	C₂²×D₅	C₂⁴×C₃	1	12	yes	—
168	C₅×Q₈	C₂×C₃×D₄	1	16	yes	complemented
169	C₂×C₄×C₅	—	2	6	no	—
170	C₂×C₄×C₅	C₂×C₃×D₄	1	12	yes	—
171	C₂×C₄×C₅	C₃×#41	1	4	yes	complemented
172	C₂×C₄×C₅	C₂⁴×C₃	1	6	yes	—
173	C₂×C₄×C₅	C₂⁴×C₃	1	6	yes	—
174	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
175	C₂×Dic₅	—	2	4	no	—
176	C₂×Dic₅	C₂⁴×C₃	1	4	yes	—
177	D₂₀	—	2	48	no	—
178	D₂₀	—	2	24	no	—
179	D₂₀	—	4	24	no	—
180	C₄×D₅	—	2	48	no	—
181	C₂×#41	—	5	16	no	—
182	C₂×#41	—	10	16	no	—
183	C₂²×Q₈	C₂×C₃×D₅	1	1	yes	characteristic
184	C₂²×D₄	—	5	3	no	—
185	C₂²×D₄	—	5	6	no	—
186	C₂²×D₄	—	5	6	no	—
187	C₂³×C₄	—	5	6	no	—
188	#127	—	5	24	no	—
189	#121	—	5	48	no	—
190	C₄×Q₈	C₂×C₃×D₅	1	8	yes	complemented
191	C₄×D₄	—	5	24	no	—
192	C₂×C₄⋊C₄	—	5	1	no	—
193	C₂×C₄⋊C₄	C₂×C₃×D₅	1	3	yes	—
194	C₂×C₂²⋊C₄	—	5	6	no	—
195	C₂×C₄²	C₂×C₃×D₅	1	3	yes	—
196	C₂×C₃×C₅	#550	1	4	yes	complemented
197	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
198	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
199	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
200	C₃×D₅	—	4	12	no	—
201	C₂³×C₃	—	5	12	no	—
202	C₂³×C₃	—	10	12	no	—
203	C₂³×C₃	—	10	12	no	—
204	C₂³×C₃	—	10	12	no	—
205	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
206	C₃×Q₈	C₂×D₂₀	1	16	yes	complemented
207	C₃×D₄	—	10	48	no	—
208	C₃×D₄	—	10	24	no	—
209	C₃×D₄	—	20	24	no	—
210	C₂×C₃×C₄	—	2	6	no	—
211	C₂×C₃×C₄	—	5	4	no	—
212	C₂×C₃×C₄	—	10	4	no	—
213	C₂×C₃×C₄	—	10	48	no	—
214	C₂×C₃×C₄	C₂×D₂₀	1	12	yes	—
215	C₂×C₃×C₄	#713	1	4	yes	complemented
216	C₂×C₃×C₄	C₂³×D₅	1	6	yes	—
217	C₂×C₃×C₄	C₂³×D₅	1	6	yes	—
218	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
219	C₂²×C₅	C₂²×C₃×D₄	1	2	yes	—
220	C₂²×C₅	C₂×C₃×#41	1	2	yes	—
221	C₂²×C₅	C₃×H(5,𝔽₂)	1	2	yes	—
222	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
223	C₂×D₅	—	2	12	no	—
224	C₂×D₅	—	2	12	no	—
225	C₂×D₅	—	2	12	no	—
226	C₂×D₅	—	4	24	no	—
227	C₄×C₅	—	2	6	no	—
228	C₄×C₅	C₂²×C₃×D₄	1	12	yes	—
229	C₄×C₅	C₂×C₃×#41	1	4	yes	complemented
230	Dic₅	—	2	4	no	—
231	C₂⁴	—	5	6	no	—
232	#41	—	10	64	no	—
233	C₂×Q₈	C₃×D₂₀	1	8	yes	complemented
234	C₂×Q₈	C₂²×C₃×D₅	1	4	yes	—
235	C₂×D₄	—	5	12	no	—
236	C₂×D₄	—	5	24	no	—
237	C₂×D₄	—	5	24	no	—
238	C₂×D₄	—	10	24	no	—
239	C₂×D₄	—	10	12	no	—
240	C₂×D₄	—	20	12	no	—
241	C₂²×C₄	—	5	2	no	—
242	C₂²×C₄	—	5	24	no	—
243	C₂²×C₄	—	10	24	no	—
244	C₂²×C₄	C₂²×C₃×D₅	1	3	yes	—
245	C₂²×C₄	C₂²×C₃×D₅	1	3	yes	—
246	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
247	C₄⋊C₄	—	5	4	no	—
248	C₄⋊C₄	C₂²×C₃×D₅	1	12	yes	—
249	C₂²⋊C₄	—	5	24	no	—
250	C₄²	C₂²×C₃×D₅	1	12	yes	—
251	C₃×C₅	C₂×#550	1	1	yes	characteristic, complemented, Hall
252	C₂²×C₃	—	10	12	no	—
253	C₂²×C₃	—	10	12	no	—
254	C₂²×C₃	—	10	12	no	—
255	C₂²×C₃	—	20	24	no	—
256	C₂²×C₃	C₂²×D₂₀	1	2	yes	—
257	C₂²×C₃	C₂×#713	1	2	yes	—
258	C₂²×C₃	#4149	1	2	yes	—
259	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
260	C₃×C₄	—	2	6	no	—
261	C₃×C₄	—	10	4	no	—
262	C₃×C₄	C₂²×D₂₀	1	12	yes	—
263	C₃×C₄	C₂×#713	1	4	yes	complemented
264	C₂×C₅	C₃×#550	1	4	yes	complemented
265	C₂×C₅	C₂³×C₃×D₄	1	1	yes	characteristic
266	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
267	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
268	D₅	—	4	12	no	—
269	C₂³	—	5	12	no	—
270	C₂³	—	10	12	no	—
271	C₂³	—	10	12	no	—
272	C₂³	—	10	12	no	—
273	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
274	Q₈	C₂×C₃×D₂₀	1	16	yes	complemented
275	D₄	—	10	48	no	—
276	D₄	—	10	24	no	—
277	D₄	—	20	24	no	—
278	C₂×C₄	—	2	6	no	—
279	C₂×C₄	—	5	4	no	—
280	C₂×C₄	—	10	4	no	—
281	C₂×C₄	—	10	48	no	—
282	C₂×C₄	C₂×C₃×D₂₀	1	12	yes	—
283	C₂×C₄	C₃×#713	1	4	yes	complemented
284	C₂×C₄	C₂³×C₃×D₅	1	6	yes	—
285	C₂×C₄	C₂³×C₃×D₅	1	6	yes	—
286	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
287	C₂×C₃	—	20	12	no	—
288	C₂×C₃	#65911	1	4	yes	direct product factor
289	C₂×C₃	C₂³×D₂₀	1	1	yes	characteristic
290	C₂×C₃	C₂²×#713	1	1	yes	characteristic
291	C₂×C₃	C₂×#4149	1	1	yes	characteristic
292	C₅	C₂×C₃×#550	1	1	yes	characteristic, complemented, Sylow
293	C₂²	—	10	12	no	—
294	C₂²	—	10	12	no	—
295	C₂²	—	10	12	no	—
296	C₂²	—	20	24	no	—
297	C₂²	C₂²×C₃×D₂₀	1	2	yes	—
298	C₂²	C₂×C₃×#713	1	2	yes	—
299	C₂²	C₃×#4149	1	2	yes	—
300	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
301	C₄	—	2	6	no	—
302	C₄	—	10	4	no	—
303	C₄	C₂²×C₃×D₂₀	1	12	yes	—
304	C₄	C₂×C₃×#713	1	4	yes	complemented
305	C₃	C₂×#65911	1	1	yes	characteristic, direct product factor, Sylow
306	C₂	—	20	12	no	—
307	C₂	C₃×#65911	1	4	yes	direct product factor
308	C₂	C₂³×C₃×D₂₀	1	1	yes	characteristic
309	C₂	C₂²×C₃×#713	1	1	yes	characteristic
310	C₂	C₂×C₃×#4149	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	C₂³×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₂×C₃×C₄×C₅×Q₈	C₂
socle	C₂³×C₃×C₅	C₂⁴
hypercenter	C₂×C₃×C₄×Q₈	D₅
hypocenter	C₅	C₂×C₃×#550
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³×C₃ ◁ C₂×C₃×C₄×Q₈

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×#713	C₂	semidirect
2. C₂×C₃×C₄×C₅×Q₈	C₂	semidirect
3. C₃×#65911	C₂	direct (N × H)
4. C₂×C₃×#4041	C₂	semidirect
5. C₂×C₃×#4020	C₂	semidirect
6. C₂×C₃×C₄×D₂₀	C₂	semidirect
7. C₂×#65911	C₃	direct (N × H)
10. C₂×C₃×#713	C₂²	semidirect
15. C₃×C₄×C₅×Q₈	C₂²	semidirect
20. C₃×#4041	C₂²	semidirect
21. C₃×#4020	C₂²	semidirect
22. C₃×C₄×D₂₀	C₂²	semidirect
24. C₂²×#713	C₂×C₃	semidirect
25. C₂×C₄×C₅×Q₈	C₂×C₃	semidirect
26. #65911	C₂×C₃	direct (N × H)
27. C₂×#4041	C₂×C₃	semidirect
28. C₂×#4020	C₂×C₃	semidirect
29. C₂×C₄×D₂₀	C₂×C₃	semidirect
31. C₂×C₃×C₅×Q₈	D₄	semidirect
54. C₂×C₃×C₄×Q₈	D₅	semidirect
58. C₂×#713	C₂²×C₃	semidirect
63. C₄×C₅×Q₈	C₂²×C₃	semidirect
68. #4041	C₂²×C₃	semidirect
69. #4020	C₂²×C₃	semidirect
70. C₄×D₂₀	C₂²×C₃	semidirect
77. C₃×C₅×Q₈	C₂×D₄	semidirect
80. C₂×C₃×C₄×C₅	#41	semidirect
99. C₃×C₄×Q₈	C₂×D₅	semidirect
106. C₂×C₅×Q₈	C₃×D₄	semidirect
129. C₂×C₄×Q₈	C₃×D₅	semidirect
141. C₃×C₄×C₅	C₂×#41	semidirect
145. C₂×C₃×Q₈	D₂₀	semidirect
168. C₅×Q₈	C₂×C₃×D₄	semidirect
171. C₂×C₄×C₅	C₃×#41	semidirect
190. C₄×Q₈	C₂×C₃×D₅	semidirect
196. C₂×C₃×C₅	#550	semidirect
206. C₃×Q₈	C₂×D₂₀	semidirect
215. C₂×C₃×C₄	#713	semidirect
229. C₄×C₅	C₂×C₃×#41	semidirect
233. C₂×Q₈	C₃×D₂₀	semidirect
251. C₃×C₅	C₂×#550	semidirect
263. C₃×C₄	C₂×#713	semidirect
264. C₂×C₅	C₃×#550	semidirect
274. Q₈	C₂×C₃×D₂₀	semidirect
283. C₂×C₄	C₃×#713	semidirect
288. C₂×C₃	#65911	direct (N × H)
292. C₅	C₂×C₃×#550	semidirect
304. C₄	C₂×C₃×#713	semidirect
305. C₃	C₂×#65911	direct (N × H)
307. C₂	C₃×#65911	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×#713	2
C₂×C₃×C₄×C₅×Q₈	2
C₃×#65911	2
C₂×C₃×#4041	2
C₂×C₃×#4020	2
C₂×C₃×C₄×D₂₀	2
C₂×#65911	3
C₂×C₃×#550	5

Subgroups — C2×C3×#65911 #14482979

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#65911 #14482979