Subgroups — C₃×#10613750 #14478486

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×#66091	C₂	1	2	yes	maximal, complemented
2	C₂×C₃×C₅×D₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#65436	C₂	1	2	yes	maximal, complemented
4	C₃×#65201	C₂	1	2	yes	maximal, complemented
5	C₃×#65200	C₂	1	4	yes	maximal, complemented
6	C₃×D₅×D₁₆	C₂	1	2	yes	maximal, complemented
7	C₃×#65193	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#65190	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613750	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
10	C₃×#4144	—	2	2	no	—
11	C₂×C₃×C₅×D₈	C₂²	1	2	yes	complemented
12	C₃×#4078	—	2	2	no	—
13	C₃×#4058	C₂²	1	4	yes	complemented
14	C₃×#4057	—	2	4	no	—
15	C₃×D₅×D₈	C₂²	1	4	yes	complemented
16	C₃×#4050	C₂²	1	2	yes	complemented
17	C₃×#4047	C₂²	1	1	yes	characteristic
18	C₃×C₅×D₁₆	C₂²	1	2	yes	complemented
19	C₃×C₅×D₁₆	C₂²	1	2	yes	complemented
20	C₂×C₃×C₅×C₁₆	C₂²	1	1	yes	characteristic, complemented
21	C₃×#3959	C₂²	1	4	yes	complemented
22	C₃×#3958	C₂²	1	4	yes	complemented
23	C₃×#3944	C₂²	1	1	yes	characteristic, complemented
24	C₃×Dic₄₀	C₂²	1	1	yes	characteristic, complemented
25	C₃×#3932	C₂²	1	2	yes	complemented
26	C₃×D₈₀	C₂²	1	1	yes	characteristic, 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	#66091	C₂×C₃	1	2	yes	complemented
31	C₂×C₅×D₁₆	C₂×C₃	1	1	yes	characteristic, complemented
32	#65436	C₂×C₃	1	2	yes	complemented
33	#65201	C₂×C₃	1	2	yes	complemented
34	#65200	C₂×C₃	1	4	yes	complemented
35	D₅×D₁₆	C₂×C₃	1	2	yes	complemented
36	#65193	C₂×C₃	1	1	yes	characteristic, complemented
37	#65190	C₂×C₃	1	1	yes	characteristic, complemented
38	C₂×C₃×C₅×D₄	—	2	2	no	—
39	C₂×C₃×C₂²⋊D₅	—	4	4	no	—
40	C₃×#711	—	2	4	no	—
41	C₃×#711	—	4	2	no	—
42	C₃×D₄×D₅	—	2	4	no	—
43	C₃×D₄×D₅	—	4	2	no	—
44	C₃×#709	—	2	2	no	—
45	C₃×#709	D₄	1	1	yes	characteristic
46	C₃×C₅×D₈	—	2	2	no	—
47	C₃×C₅×D₈	C₂³	1	4	yes	—
48	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
49	C₃×#687	—	2	4	no	—
50	C₃×#686	—	2	4	no	—
51	C₃×#681	D₄	1	1	yes	characteristic
52	C₃×Dic₂₀	C₂³	1	2	yes	—
53	C₃×D₄₀	C₂³	1	2	yes	—
54	C₃×#677	—	2	2	no	—
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	—	5	1	no	—
65	C₂×C₃×D₁₆	—	5	2	no	—
66	C₂×C₃×D₁₆	D₅	1	1	yes	characteristic, complemented
67	C₃×#504	—	5	1	no	—
68	#4144	—	2	2	no	—
69	C₂×C₅×D₈	C₂²×C₃	1	2	yes	complemented
70	#4078	—	2	2	no	—
71	#4058	C₂²×C₃	1	4	yes	complemented
72	#4057	—	2	4	no	—
73	D₅×D₈	C₂²×C₃	1	4	yes	complemented
74	#4050	C₂²×C₃	1	2	yes	complemented
75	#4047	C₂²×C₃	1	1	yes	characteristic
76	C₅×D₁₆	C₂²×C₃	1	2	yes	complemented
77	C₅×D₁₆	C₂²×C₃	1	2	yes	complemented
78	C₂×C₅×C₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
79	#3959	C₂²×C₃	1	4	yes	complemented
80	#3958	C₂²×C₃	1	4	yes	complemented
81	#3944	C₂²×C₃	1	1	yes	characteristic, complemented
82	Dic₄₀	C₂²×C₃	1	1	yes	characteristic, complemented
83	#3932	C₂²×C₃	1	2	yes	complemented
84	D₈₀	C₂²×C₃	1	1	yes	characteristic, 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	C₂³×C₃×C₅	—	4	2	no	—
89	C₂²×C₃×D₅	—	4	4	no	—
90	C₃×C₅×D₄	—	2	4	no	—
91	C₃×C₅×D₄	—	4	2	no	—
92	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
93	C₃×C₂²⋊D₅	—	4	2	no	—
94	C₃×C₂²⋊D₅	—	4	4	no	—
95	C₃×C₂²⋊D₅	—	4	4	no	—
96	C₃×C₂²⋊D₅	D₈	1	2	yes	—
97	C₂×C₃×Dic₅	—	4	4	no	—
98	C₃×D₂₀	—	2	2	no	—
99	C₃×D₂₀	D₈	1	1	yes	characteristic
100	C₃×C₄×D₅	—	4	2	no	—
101	C₃×C₄×D₅	C₂×D₄	1	2	yes	—
102	C₃×Dic₁₀	—	2	2	no	—
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	—	5	2	no	—
112	C₂×C₃×D₈	—	5	4	no	—
113	C₂×C₃×D₈	C₂×D₅	1	2	yes	complemented
114	C₃×#131	—	5	1	no	—
115	C₃×Q₃₂	—	5	1	no	—
116	C₃×SD₃₂	—	5	4	no	—
117	C₃×SD₃₂	—	5	2	no	—
118	C₃×D₁₆	—	5	4	no	—
119	C₃×D₁₆	—	5	1	no	—
120	C₃×D₁₆	C₂×D₅	1	2	yes	complemented
121	C₃×D₁₆	C₂×D₅	1	2	yes	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	C₂×C₅×D₄	—	2	2	no	—
127	C₂×C₂²⋊D₅	—	4	4	no	—
128	#711	—	2	4	no	—
129	#711	—	4	2	no	—
130	D₄×D₅	—	2	4	no	—
131	D₄×D₅	—	4	2	no	—
132	#709	—	2	2	no	—
133	#709	C₃×D₄	1	1	yes	characteristic
134	C₅×D₈	—	2	2	no	—
135	C₅×D₈	C₂³×C₃	1	4	yes	—
136	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
137	#687	—	2	4	no	—
138	#686	—	2	4	no	—
139	#681	C₃×D₄	1	1	yes	characteristic
140	Dic₂₀	C₂³×C₃	1	2	yes	—
141	D₄₀	C₂³×C₃	1	2	yes	—
142	#677	—	2	2	no	—
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	—	5	1	no	—
153	C₂×D₁₆	—	5	2	no	—
154	C₂×D₁₆	C₃×D₅	1	1	yes	characteristic, complemented
155	#504	—	5	1	no	—
156	C₂²×C₃×C₅	—	4	4	no	—
157	C₂²×C₃×C₅	—	16	2	no	—
158	C₂²×C₃×C₅	C₂×D₈	1	1	yes	characteristic
159	C₂×C₃×D₅	—	4	2	no	—
160	C₂×C₃×D₅	—	16	4	no	—
161	C₂×C₃×D₅	C₂×D₈	1	2	yes	—
162	C₃×C₄×C₅	C₂×D₈	1	1	yes	characteristic
163	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
164	C₃×Dic₅	—	4	2	no	—
165	C₃×Dic₅	C₂×D₈	1	2	yes	—
166	C₃×#41	—	5	1	no	—
167	C₃×#41	—	10	4	no	—
168	C₃×#41	—	10	2	no	—
169	C₃×#41	—	20	2	no	—
170	C₂×C₃×D₄	—	2	2	no	—
171	C₂×C₃×D₄	—	10	4	no	—
172	C₂×C₃×D₄	—	20	2	no	—
173	C₂×C₃×D₄	—	20	4	no	—
174	C₃×Q₁₆	—	5	2	no	—
175	C₃×SD₁₆	—	10	4	no	—
176	C₃×SD₁₆	—	10	2	no	—
177	C₃×D₈	—	2	2	no	—
178	C₃×D₈	—	5	2	no	—
179	C₃×D₈	—	10	4	no	—
180	C₃×D₈	C₂²×D₅	1	4	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	C₂³×C₅	—	4	2	no	—
189	C₂²×D₅	—	4	4	no	—
190	C₅×D₄	—	2	4	no	—
191	C₅×D₄	—	4	2	no	—
192	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
193	C₂²⋊D₅	—	4	2	no	—
194	C₂²⋊D₅	—	4	4	no	—
195	C₂²⋊D₅	—	4	4	no	—
196	C₂²⋊D₅	C₃×D₈	1	2	yes	—
197	C₂×Dic₅	—	4	4	no	—
198	D₂₀	—	2	2	no	—
199	D₂₀	C₃×D₈	1	1	yes	characteristic
200	C₄×D₅	—	4	2	no	—
201	C₄×D₅	C₂×C₃×D₄	1	2	yes	—
202	Dic₁₀	—	2	2	no	—
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	—	5	2	no	—
212	C₂×D₈	—	5	4	no	—
213	C₂×D₈	C₂×C₃×D₅	1	2	yes	complemented
214	#131	—	5	1	no	—
215	Q₃₂	—	5	1	no	—
216	SD₃₂	—	5	4	no	—
217	SD₃₂	—	5	2	no	—
218	D₁₆	—	5	4	no	—
219	D₁₆	—	5	1	no	—
220	D₁₆	C₂×C₃×D₅	1	2	yes	complemented
221	D₁₆	C₂×C₃×D₅	1	2	yes	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	4	no	—
228	C₂×C₃×C₅	C₂²×D₈	1	1	yes	characteristic
229	C₃×D₅	—	2	2	no	—
230	C₃×D₅	—	8	2	no	—
231	C₂³×C₃	—	4	2	no	—
232	C₂³×C₃	—	20	4	no	—
233	C₃×Q₈	—	5	1	no	—
234	C₃×Q₈	—	10	2	no	—
235	C₃×D₄	—	2	4	no	—
236	C₃×D₄	—	4	2	no	—
237	C₃×D₄	—	5	2	no	—
238	C₃×D₄	—	5	1	no	—
239	C₃×D₄	—	10	2	no	—
240	C₃×D₄	—	20	4	no	—
241	C₃×D₄	—	20	4	no	—
242	C₃×D₄	—	20	2	no	—
243	C₂×C₃×C₄	—	5	2	no	—
244	C₂×C₃×C₄	—	20	4	no	—
245	C₂×C₃×C₄	—	20	2	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	4	no	—
251	C₂²×C₅	—	16	2	no	—
252	C₂²×C₅	C₂×C₃×D₈	1	1	yes	characteristic
253	C₂×D₅	—	4	2	no	—
254	C₂×D₅	—	16	4	no	—
255	C₂×D₅	C₂×C₃×D₈	1	2	yes	—
256	C₄×C₅	C₂×C₃×D₈	1	1	yes	characteristic
257	C₄×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
258	Dic₅	—	4	2	no	—
259	Dic₅	C₂×C₃×D₈	1	2	yes	—
260	#41	—	5	1	no	—
261	#41	—	10	4	no	—
262	#41	—	10	2	no	—
263	#41	—	20	2	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	10	4	no	—
266	C₂×D₄	—	20	2	no	—
267	C₂×D₄	—	20	4	no	—
268	Q₁₆	—	5	2	no	—
269	SD₁₆	—	10	4	no	—
270	SD₁₆	—	10	2	no	—
271	D₈	—	2	2	no	—
272	D₈	—	5	2	no	—
273	D₈	—	10	4	no	—
274	D₈	C₂²×C₃×D₅	1	4	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	4	no	—
284	C₂²×C₃	—	5	2	no	—
285	C₂²×C₃	—	16	2	no	—
286	C₂²×C₃	—	20	2	no	—
287	C₂²×C₃	—	80	4	no	—
288	C₂²×C₃	D₅×D₈	1	1	yes	characteristic
289	C₃×C₄	—	5	2	no	—
290	C₃×C₄	—	20	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	4	no	—
295	C₂×C₅	C₂²×C₃×D₈	1	1	yes	characteristic
296	D₅	—	2	2	no	—
297	D₅	—	8	2	no	—
298	C₂³	—	4	2	no	—
299	C₂³	—	20	4	no	—
300	Q₈	—	5	1	no	—
301	Q₈	—	10	2	no	—
302	D₄	—	2	4	no	—
303	D₄	—	4	2	no	—
304	D₄	—	5	2	no	—
305	D₄	—	5	1	no	—
306	D₄	—	10	2	no	—
307	D₄	—	20	4	no	—
308	D₄	—	20	4	no	—
309	D₄	—	20	2	no	—
310	C₂×C₄	—	5	2	no	—
311	C₂×C₄	—	20	4	no	—
312	C₂×C₄	—	20	2	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	4	no	—
319	C₂×C₃	—	10	2	no	—
320	C₂×C₃	—	40	2	no	—
321	C₂×C₃	C₂×D₅×D₈	1	1	yes	characteristic
322	C₅	C₃×#3415	1	1	yes	characteristic, complemented, Sylow
323	C₂²	—	4	4	no	—
324	C₂²	—	5	2	no	—
325	C₂²	—	16	2	no	—
326	C₂²	—	20	2	no	—
327	C₂²	—	80	4	no	—
328	C₂²	C₃×D₅×D₈	1	1	yes	characteristic
329	C₄	—	5	2	no	—
330	C₄	—	20	2	no	—
331	C₄	C₃×D₅×D₈	1	1	yes	characteristic
332	C₄	C₂×C₃×D₄×D₅	1	1	yes	characteristic
333	C₃	#10613750	1	1	yes	characteristic, direct product factor, Sylow
334	C₂	—	2	1	no	—
335	C₂	—	8	4	no	—
336	C₂	—	10	2	no	—
337	C₂	—	40	2	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	C₂×C₃×C₅×D₁₆	C₂
socle	C₂×C₃×C₅	C₂²×D₈
hypercenter	C₂×C₃×D₁₆	D₅
hypocenter	C₅	C₃×#3415
LCS	G ▷ C₅×C₈ ▷ C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃ ◁ C₂×C₃×C₄ ◁ C₂×C₃×C₈ ◁ C₂×C₃×D₁₆

Complements

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

N	H ≅ G/N	type
1. C₃×#66091	C₂	semidirect
2. C₂×C₃×C₅×D₁₆	C₂	semidirect
3. C₃×#65436	C₂	semidirect
4. C₃×#65201	C₂	semidirect
5. C₃×#65200	C₂	semidirect
6. C₃×D₅×D₁₆	C₂	semidirect
7. C₃×#65193	C₂	semidirect
8. C₃×#65190	C₂	semidirect
9. #10613750	C₃	direct (N × H)
11. C₂×C₃×C₅×D₈	C₂²	semidirect
13. C₃×#4058	C₂²	semidirect
15. C₃×D₅×D₈	C₂²	semidirect
16. C₃×#4050	C₂²	semidirect
18. C₃×C₅×D₁₆	C₂²	semidirect
19. C₃×C₅×D₁₆	C₂²	semidirect
20. C₂×C₃×C₅×C₁₆	C₂²	semidirect
21. C₃×#3959	C₂²	semidirect
22. C₃×#3958	C₂²	semidirect
23. C₃×#3944	C₂²	semidirect
24. C₃×Dic₄₀	C₂²	semidirect
25. C₃×#3932	C₂²	semidirect
26. C₃×D₈₀	C₂²	semidirect
27. C₃×#3930	C₂²	semidirect
28. C₃×D₅×C₁₆	C₂²	semidirect
30. #66091	C₂×C₃	semidirect
31. C₂×C₅×D₁₆	C₂×C₃	semidirect
32. #65436	C₂×C₃	semidirect
33. #65201	C₂×C₃	semidirect
34. #65200	C₂×C₃	semidirect
35. D₅×D₁₆	C₂×C₃	semidirect
36. #65193	C₂×C₃	semidirect
37. #65190	C₂×C₃	semidirect
66. C₂×C₃×D₁₆	D₅	semidirect
69. C₂×C₅×D₈	C₂²×C₃	semidirect
71. #4058	C₂²×C₃	semidirect
73. D₅×D₈	C₂²×C₃	semidirect
74. #4050	C₂²×C₃	semidirect
76. C₅×D₁₆	C₂²×C₃	semidirect
77. C₅×D₁₆	C₂²×C₃	semidirect
78. C₂×C₅×C₁₆	C₂²×C₃	semidirect
79. #3959	C₂²×C₃	semidirect
80. #3958	C₂²×C₃	semidirect
81. #3944	C₂²×C₃	semidirect
82. Dic₄₀	C₂²×C₃	semidirect
83. #3932	C₂²×C₃	semidirect
84. D₈₀	C₂²×C₃	semidirect
85. #3930	C₂²×C₃	semidirect
86. D₅×C₁₆	C₂²×C₃	semidirect
113. C₂×C₃×D₈	C₂×D₅	semidirect
120. C₃×D₁₆	C₂×D₅	semidirect
121. C₃×D₁₆	C₂×D₅	semidirect
125. C₂×C₃×C₁₆	C₂×D₅	semidirect
154. C₂×D₁₆	C₃×D₅	semidirect
213. C₂×D₈	C₂×C₃×D₅	semidirect
220. D₁₆	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	#10613750	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×#66091	2
C₂×C₃×C₅×D₁₆	2
C₃×#65436	2
C₃×#65201	2
C₃×#65200	2
C₃×D₅×D₁₆	2
C₃×#65193	2
C₃×#65190	2
#10613750	3
C₃×#3415	5

Subgroups — C3×#10613750 #14478486

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10613750 #14478486