Subgroups — C₃×#10613762 #14478489

Order 1920.

740 conjugacy classes of subgroups.

The subgroup lattice has 340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#66103	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×#508	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65482	C₂	1	2	yes	maximal, complemented
4	C₃×#65208	C₂	1	2	yes	maximal, complemented
5	C₃×#65203	C₂	1	4	yes	maximal, complemented
6	C₃×D₅×D₁₆	C₂	1	2	yes	maximal, complemented
7	C₂×C₃×D₈₀	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#65190	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613762	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
10	C₃×#4149	—	2	2	no	—
11	C₃×C₅×#135	C₂²	1	2	yes	complemented
12	C₃×#4095	—	2	2	no	—
13	C₃×#4065	C₂²	1	4	yes	complemented
14	C₃×#4060	—	2	4	no	—
15	C₃×D₅×D₈	C₂²	1	4	yes	complemented
16	C₂×C₃×D₄₀	C₂²	1	2	yes	complemented
17	C₃×#4047	C₂²	1	1	yes	characteristic
18	C₃×C₅×Q₃₂	C₂²	1	1	yes	characteristic, complemented
19	C₃×C₅×SD₃₂	C₂²	1	2	yes	complemented
20	C₃×C₅×D₁₆	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₃×C₅×C₁₆	C₂²	1	1	yes	characteristic, complemented
22	C₃×#3960	C₂²	1	4	yes	complemented
23	C₃×#3958	C₂²	1	4	yes	complemented
24	C₃×#3944	C₂²	1	1	yes	characteristic, complemented
25	C₃×D₈₀	C₂²	1	2	yes	complemented
26	C₃×D₈₀	C₂²	1	2	yes	complemented
27	C₃×#3930	C₂²	1	2	yes	complemented
28	C₃×D₅×C₁₆	C₂²	1	2	yes	complemented
29	C₃×#3415	—	5	1	no	maximal, Hall
30	#66103	C₂×C₃	1	2	yes	complemented
31	C₅×#508	C₂×C₃	1	1	yes	characteristic, complemented
32	#65482	C₂×C₃	1	2	yes	complemented
33	#65208	C₂×C₃	1	2	yes	complemented
34	#65203	C₂×C₃	1	4	yes	complemented
35	D₅×D₁₆	C₂×C₃	1	2	yes	complemented
36	C₂×D₈₀	C₂×C₃	1	1	yes	characteristic, complemented
37	#65190	C₂×C₃	1	1	yes	characteristic, complemented
38	C₃×C₅×#41	—	2	2	no	—
39	C₃×#713	—	2	4	no	—
40	C₃×D₄×D₅	—	2	4	no	—
41	C₃×D₄×D₅	—	4	4	no	—
42	C₃×#709	—	4	2	no	—
43	C₃×#709	D₄	1	1	yes	characteristic
44	C₂×C₃×D₂₀	—	2	2	no	—
45	C₂×C₃×D₂₀	—	4	2	no	—
46	C₃×C₅×Q₁₆	C₂³	1	2	yes	—
47	C₃×C₅×SD₁₆	—	2	2	no	—
48	C₃×C₅×D₈	C₂³	1	2	yes	—
49	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
50	C₃×#688	—	2	4	no	—
51	C₃×#686	—	2	4	no	—
52	C₃×#681	D₄	1	1	yes	characteristic
53	C₃×D₄₀	—	2	2	no	—
54	C₃×D₄₀	C₂³	1	4	yes	—
55	C₃×#676	D₄	1	2	yes	—
56	C₃×C₈×D₅	C₂³	1	2	yes	—
57	C₃×C₅×C₁₆	C₂³	1	1	yes	characteristic
58	C₃×C₅×C₁₆	C₂³	1	1	yes	characteristic
59	C₃×#672	C₂³	1	2	yes	—
60	C₃×#576	—	5	2	no	—
61	C₃×#509	—	5	2	no	—
62	C₃×#509	—	5	4	no	—
63	C₃×#508	—	5	2	no	—
64	C₃×#508	D₅	1	1	yes	characteristic, complemented
65	C₂×C₃×D₁₆	—	5	2	no	—
66	C₂×C₃×D₁₆	—	5	1	no	—
67	C₃×#504	—	5	1	no	—
68	#4149	—	2	2	no	—
69	C₅×#135	C₂²×C₃	1	2	yes	complemented
70	#4095	—	2	2	no	—
71	#4065	C₂²×C₃	1	4	yes	complemented
72	#4060	—	2	4	no	—
73	D₅×D₈	C₂²×C₃	1	4	yes	complemented
74	C₂×D₄₀	C₂²×C₃	1	2	yes	complemented
75	#4047	C₂²×C₃	1	1	yes	characteristic
76	C₅×Q₃₂	C₂²×C₃	1	1	yes	characteristic, complemented
77	C₅×SD₃₂	C₂²×C₃	1	2	yes	complemented
78	C₅×D₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
79	C₂×C₅×C₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
80	#3960	C₂²×C₃	1	4	yes	complemented
81	#3958	C₂²×C₃	1	4	yes	complemented
82	#3944	C₂²×C₃	1	1	yes	characteristic, complemented
83	D₈₀	C₂²×C₃	1	2	yes	complemented
84	D₈₀	C₂²×C₃	1	2	yes	complemented
85	#3930	C₂²×C₃	1	2	yes	complemented
86	D₅×C₁₆	C₂²×C₃	1	2	yes	complemented
87	#3415	—	5	1	no	Sylow
88	C₂²×C₃×D₅	—	4	2	no	—
89	C₂²×C₃×D₅	—	4	4	no	—
90	C₃×C₅×Q₈	—	2	2	no	—
91	C₃×C₅×D₄	—	2	2	no	—
92	C₃×C₅×D₄	—	4	2	no	—
93	C₂×C₃×C₄×C₅	—	4	2	no	—
94	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
95	C₃×C₂²⋊D₅	—	4	4	no	—
96	C₃×C₂²⋊D₅	D₈	1	2	yes	—
97	C₃×D₂₀	—	2	4	no	—
98	C₃×D₂₀	—	4	4	no	—
99	C₃×D₂₀	—	4	2	no	—
100	C₃×D₂₀	D₈	1	1	yes	characteristic
101	C₃×C₄×D₅	—	4	4	no	—
102	C₃×C₄×D₅	C₂×D₄	1	2	yes	—
103	C₃×Dic₁₀	D₈	1	1	yes	characteristic
104	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
105	C₃×C₅×C₈	C₂⁴	1	1	yes	characteristic
106	C₃×#168	C₂×D₄	1	2	yes	—
107	C₃×H(5,𝔽₂)	—	10	2	no	—
108	C₃×AGL(1,ℤ/8)	—	10	4	no	—
109	C₃×AGL(1,ℤ/8)	—	10	2	no	—
110	C₃×#135	—	5	4	no	—
111	C₃×#135	C₂×D₅	1	2	yes	complemented
112	C₂×C₃×D₈	—	5	4	no	—
113	C₂×C₃×D₈	—	5	2	no	—
114	C₃×#131	—	5	1	no	—
115	C₃×Q₃₂	C₂×D₅	1	1	yes	characteristic, complemented
116	C₃×SD₃₂	—	5	4	no	—
117	C₃×SD₃₂	C₂×D₅	1	2	yes	complemented
118	C₃×D₁₆	—	5	4	no	—
119	C₃×D₁₆	—	5	2	no	—
120	C₃×D₁₆	—	5	2	no	—
121	C₃×D₁₆	C₂×D₅	1	1	yes	characteristic, complemented
122	C₃×M₃₂	—	5	1	no	—
123	C₃×M₃₂	—	5	2	no	—
124	C₂×C₃×C₁₆	—	5	2	no	—
125	C₂×C₃×C₁₆	C₂×D₅	1	1	yes	characteristic, complemented
126	C₅×#41	—	2	2	no	—
127	#713	—	2	4	no	—
128	D₄×D₅	—	2	4	no	—
129	D₄×D₅	—	4	4	no	—
130	#709	—	4	2	no	—
131	#709	C₃×D₄	1	1	yes	characteristic
132	C₂×D₂₀	—	2	2	no	—
133	C₂×D₂₀	—	4	2	no	—
134	C₅×Q₁₆	C₂³×C₃	1	2	yes	—
135	C₅×SD₁₆	—	2	2	no	—
136	C₅×D₈	C₂³×C₃	1	2	yes	—
137	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
138	#688	—	2	4	no	—
139	#686	—	2	4	no	—
140	#681	C₃×D₄	1	1	yes	characteristic
141	D₄₀	—	2	2	no	—
142	D₄₀	C₂³×C₃	1	4	yes	—
143	#676	C₃×D₄	1	2	yes	—
144	C₈×D₅	C₂³×C₃	1	2	yes	—
145	C₅×C₁₆	C₂³×C₃	1	1	yes	characteristic
146	C₅×C₁₆	C₂³×C₃	1	1	yes	characteristic
147	#672	C₂³×C₃	1	2	yes	—
148	#576	—	5	2	no	—
149	#509	—	5	2	no	—
150	#509	—	5	4	no	—
151	#508	—	5	2	no	—
152	#508	C₃×D₅	1	1	yes	characteristic, complemented
153	C₂×D₁₆	—	5	2	no	—
154	C₂×D₁₆	—	5	1	no	—
155	#504	—	5	1	no	—
156	C₂²×C₃×C₅	—	4	2	no	—
157	C₂²×C₃×C₅	C₂×D₈	1	1	yes	characteristic
158	C₂×C₃×D₅	—	4	4	no	—
159	C₂×C₃×D₅	—	16	4	no	—
160	C₂×C₃×D₅	—	16	2	no	—
161	C₂×C₃×D₅	C₂×D₈	1	2	yes	—
162	C₃×C₄×C₅	—	4	2	no	—
163	C₃×C₄×C₅	C₂×D₈	1	1	yes	characteristic
164	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
165	C₃×Dic₅	C₂×D₈	1	2	yes	—
166	C₃×#41	—	2	2	no	—
167	C₃×#41	—	5	1	no	—
168	C₃×#41	—	10	4	no	—
169	C₃×#41	—	20	2	no	—
170	C₂×C₃×D₄	—	10	4	no	—
171	C₂×C₃×D₄	—	10	2	no	—
172	C₂×C₃×D₄	—	20	2	no	—
173	C₂×C₃×D₄	—	20	4	no	—
174	C₃×Q₁₆	C₂²×D₅	1	2	yes	—
175	C₃×SD₁₆	—	2	2	no	—
176	C₃×SD₁₆	—	10	4	no	—
177	C₃×D₈	—	5	4	no	—
178	C₃×D₈	—	10	4	no	—
179	C₃×D₈	—	10	2	no	—
180	C₃×D₈	C₂²×D₅	1	2	yes	—
181	C₃×M₁₆	—	5	1	no	—
182	C₃×M₁₆	—	5	2	no	—
183	C₂×C₃×C₈	—	5	2	no	—
184	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
185	C₃×C₁₆	—	5	2	no	—
186	C₃×C₁₆	C₂²×D₅	1	1	yes	characteristic
187	C₃×C₁₆	C₂²×D₅	1	1	yes	characteristic
188	C₂²×D₅	—	4	2	no	—
189	C₂²×D₅	—	4	4	no	—
190	C₅×Q₈	—	2	2	no	—
191	C₅×D₄	—	2	2	no	—
192	C₅×D₄	—	4	2	no	—
193	C₂×C₄×C₅	—	4	2	no	—
194	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
195	C₂²⋊D₅	—	4	4	no	—
196	C₂²⋊D₅	C₃×D₈	1	2	yes	—
197	D₂₀	—	2	4	no	—
198	D₂₀	—	4	4	no	—
199	D₂₀	—	4	2	no	—
200	D₂₀	C₃×D₈	1	1	yes	characteristic
201	C₄×D₅	—	4	4	no	—
202	C₄×D₅	C₂×C₃×D₄	1	2	yes	—
203	Dic₁₀	C₃×D₈	1	1	yes	characteristic
204	C₅×C₈	C₂×C₃×D₄	1	1	yes	characteristic
205	C₅×C₈	C₂⁴×C₃	1	1	yes	characteristic
206	#168	C₂×C₃×D₄	1	2	yes	—
207	H(5,𝔽₂)	—	10	2	no	—
208	AGL(1,ℤ/8)	—	10	4	no	—
209	AGL(1,ℤ/8)	—	10	2	no	—
210	#135	—	5	4	no	—
211	#135	C₂×C₃×D₅	1	2	yes	complemented
212	C₂×D₈	—	5	4	no	—
213	C₂×D₈	—	5	2	no	—
214	#131	—	5	1	no	—
215	Q₃₂	C₂×C₃×D₅	1	1	yes	characteristic, complemented
216	SD₃₂	—	5	4	no	—
217	SD₃₂	C₂×C₃×D₅	1	2	yes	complemented
218	D₁₆	—	5	4	no	—
219	D₁₆	—	5	2	no	—
220	D₁₆	—	5	2	no	—
221	D₁₆	C₂×C₃×D₅	1	1	yes	characteristic, complemented
222	M₃₂	—	5	1	no	—
223	M₃₂	—	5	2	no	—
224	C₂×C₁₆	—	5	2	no	—
225	C₂×C₁₆	C₂×C₃×D₅	1	1	yes	characteristic, complemented
226	C₂×C₃×C₅	—	2	1	no	—
227	C₂×C₃×C₅	—	8	2	no	—
228	C₂×C₃×C₅	C₂²×D₈	1	1	yes	characteristic
229	C₃×D₅	—	2	2	no	—
230	C₃×D₅	—	8	4	no	—
231	C₂³×C₃	—	20	4	no	—
232	C₂³×C₃	—	20	2	no	—
233	C₃×Q₈	—	2	2	no	—
234	C₃×Q₈	—	5	1	no	—
235	C₃×D₄	—	2	2	no	—
236	C₃×D₄	—	4	2	no	—
237	C₃×D₄	—	5	2	no	—
238	C₃×D₄	—	5	1	no	—
239	C₃×D₄	—	10	4	no	—
240	C₃×D₄	—	20	4	no	—
241	C₃×D₄	—	20	4	no	—
242	C₃×D₄	—	20	2	no	—
243	C₂×C₃×C₄	—	4	2	no	—
244	C₂×C₃×C₄	—	5	2	no	—
245	C₂×C₃×C₄	—	20	4	no	—
246	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
247	C₃×C₈	—	5	2	no	—
248	C₃×C₈	D₄×D₅	1	1	yes	characteristic
249	C₃×C₈	C₂³×D₅	1	1	yes	characteristic
250	C₂²×C₅	—	4	2	no	—
251	C₂²×C₅	C₂×C₃×D₈	1	1	yes	characteristic
252	C₂×D₅	—	4	4	no	—
253	C₂×D₅	—	16	4	no	—
254	C₂×D₅	—	16	2	no	—
255	C₂×D₅	C₂×C₃×D₈	1	2	yes	—
256	C₄×C₅	—	4	2	no	—
257	C₄×C₅	C₂×C₃×D₈	1	1	yes	characteristic
258	C₄×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
259	Dic₅	C₂×C₃×D₈	1	2	yes	—
260	#41	—	2	2	no	—
261	#41	—	5	1	no	—
262	#41	—	10	4	no	—
263	#41	—	20	2	no	—
264	C₂×D₄	—	10	4	no	—
265	C₂×D₄	—	10	2	no	—
266	C₂×D₄	—	20	2	no	—
267	C₂×D₄	—	20	4	no	—
268	Q₁₆	C₂²×C₃×D₅	1	2	yes	—
269	SD₁₆	—	2	2	no	—
270	SD₁₆	—	10	4	no	—
271	D₈	—	5	4	no	—
272	D₈	—	10	4	no	—
273	D₈	—	10	2	no	—
274	D₈	C₂²×C₃×D₅	1	2	yes	—
275	M₁₆	—	5	1	no	—
276	M₁₆	—	5	2	no	—
277	C₂×C₈	—	5	2	no	—
278	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
279	C₁₆	—	5	2	no	—
280	C₁₆	C₂²×C₃×D₅	1	1	yes	characteristic
281	C₁₆	C₂²×C₃×D₅	1	1	yes	characteristic
282	C₃×C₅	#3415	1	1	yes	characteristic, complemented, Hall
283	C₂²×C₃	—	4	2	no	—
284	C₂²×C₃	—	5	2	no	—
285	C₂²×C₃	—	20	4	no	—
286	C₂²×C₃	—	80	2	no	—
287	C₂²×C₃	—	80	4	no	—
288	C₂²×C₃	D₅×D₈	1	1	yes	characteristic
289	C₃×C₄	—	4	2	no	—
290	C₃×C₄	—	5	2	no	—
291	C₃×C₄	D₅×D₈	1	1	yes	characteristic
292	C₃×C₄	C₂×D₄×D₅	1	1	yes	characteristic
293	C₂×C₅	—	2	1	no	—
294	C₂×C₅	—	8	2	no	—
295	C₂×C₅	C₂²×C₃×D₈	1	1	yes	characteristic
296	D₅	—	2	2	no	—
297	D₅	—	8	4	no	—
298	C₂³	—	20	4	no	—
299	C₂³	—	20	2	no	—
300	Q₈	—	2	2	no	—
301	Q₈	—	5	1	no	—
302	D₄	—	2	2	no	—
303	D₄	—	4	2	no	—
304	D₄	—	5	2	no	—
305	D₄	—	5	1	no	—
306	D₄	—	10	4	no	—
307	D₄	—	20	4	no	—
308	D₄	—	20	4	no	—
309	D₄	—	20	2	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	5	2	no	—
312	C₂×C₄	—	20	4	no	—
313	C₂×C₄	C₃×D₄×D₅	1	1	yes	characteristic
314	C₈	—	5	2	no	—
315	C₈	C₃×D₄×D₅	1	1	yes	characteristic
316	C₈	C₂³×C₃×D₅	1	1	yes	characteristic
317	C₂×C₃	—	2	1	no	—
318	C₂×C₃	—	8	2	no	—
319	C₂×C₃	—	10	2	no	—
320	C₂×C₃	—	40	4	no	—
321	C₂×C₃	C₂×D₅×D₈	1	1	yes	characteristic
322	C₅	C₃×#3415	1	1	yes	characteristic, complemented, Sylow
323	C₂²	—	4	2	no	—
324	C₂²	—	5	2	no	—
325	C₂²	—	20	4	no	—
326	C₂²	—	80	2	no	—
327	C₂²	—	80	4	no	—
328	C₂²	C₃×D₅×D₈	1	1	yes	characteristic
329	C₄	—	4	2	no	—
330	C₄	—	5	2	no	—
331	C₄	C₃×D₅×D₈	1	1	yes	characteristic
332	C₄	C₂×C₃×D₄×D₅	1	1	yes	characteristic
333	C₃	#10613762	1	1	yes	characteristic, direct product factor, Sylow
334	C₂	—	2	1	no	—
335	C₂	—	8	2	no	—
336	C₂	—	10	2	no	—
337	C₂	—	40	4	no	—
338	C₂	C₂×C₃×D₅×D₈	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃	C₂×D₅×D₈
commutator, cosocle	C₅×C₈	C₂⁴×C₃
Frattini	C₈	C₂³×C₃×D₅
Fitting	C₃×C₅×#508	C₂
socle	C₂×C₃×C₅	C₂²×D₈
hypercenter	C₃×#508	D₅
hypocenter	C₅	C₃×#3415
LCS	G ▷ C₅×C₈ ▷ C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃ ◁ C₂×C₃×C₄ ◁ C₂×C₃×C₈ ◁ C₃×#508

Complements

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

N	H ≅ G/N	type
1. C₃×#66103	C₂	semidirect
2. C₃×C₅×#508	C₂	semidirect
3. C₃×#65482	C₂	semidirect
4. C₃×#65208	C₂	semidirect
5. C₃×#65203	C₂	semidirect
6. C₃×D₅×D₁₆	C₂	semidirect
7. C₂×C₃×D₈₀	C₂	semidirect
8. C₃×#65190	C₂	semidirect
9. #10613762	C₃	direct (N × H)
11. C₃×C₅×#135	C₂²	semidirect
13. C₃×#4065	C₂²	semidirect
15. C₃×D₅×D₈	C₂²	semidirect
16. C₂×C₃×D₄₀	C₂²	semidirect
18. C₃×C₅×Q₃₂	C₂²	semidirect
19. C₃×C₅×SD₃₂	C₂²	semidirect
20. C₃×C₅×D₁₆	C₂²	semidirect
21. C₂×C₃×C₅×C₁₆	C₂²	semidirect
22. C₃×#3960	C₂²	semidirect
23. C₃×#3958	C₂²	semidirect
24. C₃×#3944	C₂²	semidirect
25. C₃×D₈₀	C₂²	semidirect
26. C₃×D₈₀	C₂²	semidirect
27. C₃×#3930	C₂²	semidirect
28. C₃×D₅×C₁₆	C₂²	semidirect
30. #66103	C₂×C₃	semidirect
31. C₅×#508	C₂×C₃	semidirect
32. #65482	C₂×C₃	semidirect
33. #65208	C₂×C₃	semidirect
34. #65203	C₂×C₃	semidirect
35. D₅×D₁₆	C₂×C₃	semidirect
36. C₂×D₈₀	C₂×C₃	semidirect
37. #65190	C₂×C₃	semidirect
64. C₃×#508	D₅	semidirect
69. C₅×#135	C₂²×C₃	semidirect
71. #4065	C₂²×C₃	semidirect
73. D₅×D₈	C₂²×C₃	semidirect
74. C₂×D₄₀	C₂²×C₃	semidirect
76. C₅×Q₃₂	C₂²×C₃	semidirect
77. C₅×SD₃₂	C₂²×C₃	semidirect
78. C₅×D₁₆	C₂²×C₃	semidirect
79. C₂×C₅×C₁₆	C₂²×C₃	semidirect
80. #3960	C₂²×C₃	semidirect
81. #3958	C₂²×C₃	semidirect
82. #3944	C₂²×C₃	semidirect
83. D₈₀	C₂²×C₃	semidirect
84. D₈₀	C₂²×C₃	semidirect
85. #3930	C₂²×C₃	semidirect
86. D₅×C₁₆	C₂²×C₃	semidirect
111. C₃×#135	C₂×D₅	semidirect
115. C₃×Q₃₂	C₂×D₅	semidirect
117. C₃×SD₃₂	C₂×D₅	semidirect
121. C₃×D₁₆	C₂×D₅	semidirect
125. C₂×C₃×C₁₆	C₂×D₅	semidirect
152. #508	C₃×D₅	semidirect
211. #135	C₂×C₃×D₅	semidirect
215. Q₃₂	C₂×C₃×D₅	semidirect
217. SD₃₂	C₂×C₃×D₅	semidirect
221. D₁₆	C₂×C₃×D₅	semidirect
225. C₂×C₁₆	C₂×C₃×D₅	semidirect
282. C₃×C₅	#3415	semidirect
322. C₅	C₃×#3415	semidirect
333. C₃	#10613762	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#66103	2
C₃×C₅×#508	2
C₃×#65482	2
C₃×#65208	2
C₃×#65203	2
C₃×D₅×D₁₆	2
C₂×C₃×D₈₀	2
C₃×#65190	2
#10613762	3
C₃×#3415	5

Subgroups — C3×#10613762 #14478489

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10613762 #14478489