Subgroups — C₃×#79830 #11860576

Order 1152.

994 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#918	C₂	1	1	yes	maximal, characteristic
2	C₃×#5574	C₂	1	1	yes	maximal, characteristic
3	C₃×#5572	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃²×#441	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×Dic₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₄×#216	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×C₄×#215	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#4861	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#4852	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#4817	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#4804	C₂	1	1	yes	maximal, characteristic
12	C₃×D₃×#103	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#4789	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#4710	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#4708	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#2947	—	3	1	no	maximal
17	#79830	C₃	1	1	yes	maximal, characteristic, direct product factor
18	C₂×C₃×#239	C₂²	1	1	yes	characteristic
19	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic
20	C₂×C₃²×Q₁₆	C₂²	1	1	yes	characteristic
21	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic
22	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic
23	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic
24	C₃×Q₈×Dic₃	C₂²	1	1	yes	characteristic
25	C₂×C₃×#216	C₂²	1	1	yes	characteristic
26	C₂×C₃×#215	C₂²	1	1	yes	characteristic
27	C₃×#918	C₄	1	8	yes	complemented
28	C₂×C₃×#204	C₂²	1	1	yes	characteristic
29	C₂×C₃×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic
30	C₂×C₃×D₃×C₈	C₂²	1	1	yes	characteristic
31	C₃×#893	—	2	1	no	—
32	C₃×#893	C₂²	1	1	yes	characteristic
33	C₃×#892	—	2	1	no	—
34	C₃×#892	C₂²	1	1	yes	characteristic
35	C₃×D₃×C₄⋊C₄	—	2	1	no	—
36	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₃×#887	—	2	1	no	—
38	C₃×#887	C₂²	1	1	yes	characteristic
39	C₃×C₄×D₁₂	—	2	1	no	—
40	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
41	C₃×#872	—	2	1	no	—
42	C₃×#872	—	2	1	no	—
43	C₃×#872	C₂²	1	1	yes	characteristic
44	C₃×C₄×Dic₆	—	2	1	no	—
45	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic
46	C₃²×#106	C₂²	1	1	yes	characteristic
47	C₃²×#103	C₂²	1	1	yes	characteristic
48	C₃²×#103	C₂²	1	1	yes	characteristic
49	C₃²×#97	C₂²	1	1	yes	characteristic
50	C₃×#835	C₂²	1	1	yes	characteristic
51	C₃×#835	C₂²	1	1	yes	characteristic
52	C₃×#821	C₂²	1	1	yes	characteristic
53	C₃×#818	C₂²	1	1	yes	characteristic
54	C₃×#816	C₂²	1	1	yes	characteristic
55	C₃×#815	C₂²	1	1	yes	characteristic
56	C₃×C₈×Dic₃	C₂²	1	1	yes	characteristic
57	C₃×#810	C₂²	1	1	yes	characteristic
58	C₃×#809	C₂²	1	1	yes	characteristic
59	C₃×#808	C₂²	1	1	yes	characteristic
60	C₃×#807	C₂²	1	1	yes	characteristic
61	C₃×C₄×C₃⋊C₈	C₂²	1	1	yes	characteristic
62	C₂×C₃×#137	—	3	1	no	—
63	C₃×#520	—	3	1	no	—
64	C₃×#519	—	3	1	no	—
65	C₂×#918	C₂×C₃	1	1	yes	characteristic
66	#5574	C₂×C₃	1	1	yes	characteristic
67	#5572	C₂×C₃	1	1	yes	characteristic, complemented
68	C₃×#441	—	2	1	no	—
69	C₃×#441	—	3	1	no	—
70	C₃×#441	D₃	1	1	yes	characteristic, complemented
71	C₃×#441	C₂×C₃	1	1	yes	characteristic, complemented
72	C₃×#440	—	3	1	no	—
73	C₃×#440	—	3	1	no	—
74	C₃×C₄×Q₁₆	—	3	1	no	—
75	C₃×C₄×Q₁₆	—	3	1	no	—
76	C₃×C₄×SD₁₆	—	3	1	no	—
77	C₃×C₄×SD₁₆	—	3	1	no	—
78	C₃×#428	—	3	1	no	—
79	C₃×#416	—	3	1	no	—
80	C₂×C₃×#103	—	3	1	no	—
81	C₃×#405	—	3	1	no	—
82	Dic₃×Q₁₆	C₂×C₃	1	1	yes	characteristic, complemented
83	C₄×#216	C₂×C₃	1	1	yes	characteristic, complemented
84	C₄×#215	C₂×C₃	1	1	yes	characteristic, complemented
85	#4861	C₂×C₃	1	1	yes	characteristic, complemented
86	#4852	C₂×C₃	1	1	yes	characteristic, complemented
87	#4817	C₂×C₃	1	1	yes	characteristic, complemented
88	#4804	C₂×C₃	1	1	yes	characteristic
89	D₃×#103	C₂×C₃	1	1	yes	characteristic, complemented
90	#4789	C₂×C₃	1	1	yes	characteristic, complemented
91	#4710	C₂×C₃	1	1	yes	characteristic, complemented
92	#4708	C₂×C₃	1	1	yes	characteristic, complemented
93	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
94	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
95	C₃×#239	—	2	2	no	—
96	C₃×#239	C₂×C₄	1	4	yes	—
97	C₃×D₃×Q₈	—	2	2	no	—
98	C₃×D₃×Q₈	C₂×C₄	1	4	yes	complemented
99	C₂×C₃×D₁₂	—	2	1	no	—
100	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
101	C₂×C₃×C₄×D₃	—	2	1	no	—
102	C₂×C₃×C₄×D₃	—	2	1	no	—
103	C₂×C₃×C₄×D₃	—	2	1	no	—
104	C₂×C₃×C₄×D₃	—	2	1	no	—
105	C₂×C₃×C₄×D₃	—	2	1	no	—
106	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
107	C₂×C₃×Dic₆	—	2	1	no	—
108	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
109	C₃²×Q₁₆	C₂×C₄	1	4	yes	complemented
110	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
111	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
112	C₃²×C₄⋊C₄	—	2	1	no	—
113	C₃²×C₄⋊C₄	—	2	1	no	—
114	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
115	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
116	C₃²×C₄²	—	2	1	no	—
117	C₃²×C₄²	—	2	1	no	—
118	C₃²×C₄²	C₂³	1	1	yes	characteristic
119	C₃×#216	C₂×C₄	1	4	yes	complemented
120	C₃×#215	C₂×C₄	1	4	yes	complemented
121	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
122	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
123	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
124	C₃×(C₂×D₃)⋊C₄	D₄	1	1	yes	characteristic
125	C₃×(C₂×D₃)⋊C₄	D₄	1	1	yes	characteristic
126	C₃×C₄⋊Dic₃	—	2	1	no	—
127	C₃×C₄⋊Dic₃	—	2	1	no	—
128	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
129	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
130	C₃×Dic₃⋊C₄	—	2	1	no	—
131	C₃×Dic₃⋊C₄	—	2	1	no	—
132	C₃×Dic₃⋊C₄	—	2	1	no	—
133	C₃×Dic₃⋊C₄	D₄	1	1	yes	characteristic
134	C₃×Dic₃⋊C₄	D₄	1	1	yes	characteristic
135	C₃×C₄×Dic₃	—	2	1	no	—
136	C₃×C₄×Dic₃	—	2	1	no	—
137	C₃×C₄×Dic₃	—	2	1	no	—
138	C₃×C₄×Dic₃	—	2	1	no	—
139	C₃×C₄×Dic₃	—	2	1	no	—
140	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
141	C₂×C₃×C₃⋊C₈	C₂³	1	1	yes	characteristic
142	C₂×C₃×C₃⋊C₈	C₂³	1	1	yes	characteristic
143	C₃×#204	C₂×C₄	1	4	yes	complemented
144	C₃×ΓL(1,𝔽₂₅)	C₂×C₄	1	4	yes	complemented
145	C₃×D₃×C₈	—	2	2	no	—
146	#2947	—	3	1	no	Sylow
147	C₂×C₃×#41	—	3	1	no	—
148	C₂²×C₃×Q₈	—	3	1	no	—
149	C₂×#239	C₂²×C₃	1	1	yes	characteristic
150	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic
151	C₃×#137	—	3	8	no	—
152	C₂×C₃×Q₁₆	—	2	1	no	—
153	C₂×C₃×Q₁₆	—	3	1	no	—
154	C₂×C₃×Q₁₆	C₂×D₃	1	1	yes	characteristic
155	C₂×C₃×Q₁₆	C₂²×C₃	1	1	yes	characteristic
156	C₂×C₃×SD₁₆	—	3	1	no	—
157	C₂×C₃×SD₁₆	—	3	1	no	—
158	C₂×C₃×M₁₆	—	3	1	no	—
159	C₂²×C₃×C₈	—	3	1	no	—
160	C₃×C₄×Q₈	—	2	1	no	—
161	C₃×C₄×Q₈	—	2	1	no	—
162	C₃×C₄×Q₈	—	3	1	no	—
163	C₃×C₄×Q₈	—	3	1	no	—
164	C₃×C₄×Q₈	—	3	1	no	—
165	C₃×C₄×Q₈	—	3	1	no	—
166	C₃×C₄×Q₈	—	6	1	no	—
167	C₃×C₄×Q₈	—	6	1	no	—
168	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
169	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
170	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
171	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
172	C₃×C₄×D₄	—	3	1	no	—
173	C₃×C₄×D₄	—	3	1	no	—
174	C₃×C₄×D₄	—	6	1	no	—
175	C₃×C₄×D₄	—	6	1	no	—
176	C₃×#117	—	3	1	no	—
177	C₃×#117	—	3	1	no	—
178	C₃×#117	—	6	1	no	—
179	C₃×#117	—	6	1	no	—
180	C₃×#117	—	6	1	no	—
181	C₂×C₃×C₄⋊C₄	—	3	1	no	—
182	C₂×C₃×C₄⋊C₄	—	6	1	no	—
183	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic
184	Q₈×Dic₃	C₂²×C₃	1	1	yes	characteristic
185	C₂×#216	C₂²×C₃	1	1	yes	characteristic
186	C₂×#215	C₂²×C₃	1	1	yes	characteristic
187	#918	C₃×C₄	1	8	yes	complemented
188	C₂×#204	C₂²×C₃	1	1	yes	characteristic
189	C₂×ΓL(1,𝔽₂₅)	C₂²×C₃	1	1	yes	characteristic
190	C₂×D₃×C₈	C₂²×C₃	1	1	yes	characteristic
191	#893	—	2	1	no	—
192	#893	C₂²×C₃	1	1	yes	characteristic
193	#892	—	2	1	no	—
194	#892	C₂²×C₃	1	1	yes	characteristic
195	D₃×C₄⋊C₄	—	2	1	no	—
196	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
197	#887	—	2	1	no	—
198	#887	C₂²×C₃	1	1	yes	characteristic
199	C₄×D₁₂	—	2	1	no	—
200	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
201	#872	—	2	1	no	—
202	#872	—	2	1	no	—
203	#872	C₂²×C₃	1	1	yes	characteristic
204	C₄×Dic₆	—	2	1	no	—
205	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic
206	C₃×#107	—	3	1	no	—
207	C₃×#107	—	3	1	no	—
208	C₃×#106	—	2	1	no	—
209	C₃×#106	—	3	1	no	—
210	C₃×#106	C₂×D₃	1	1	yes	characteristic
211	C₃×#106	C₂²×C₃	1	1	yes	characteristic
212	C₃×#103	—	2	1	no	—
213	C₃×#103	—	2	1	no	—
214	C₃×#103	—	3	1	no	—
215	C₃×#103	—	3	1	no	—
216	C₃×#103	—	3	1	no	—
217	C₃×#103	—	3	1	no	—
218	C₃×#103	C₂×D₃	1	1	yes	characteristic
219	C₃×#103	C₂×D₃	1	1	yes	characteristic
220	C₃×#103	C₂²×C₃	1	1	yes	characteristic
221	C₃×#103	C₂²×C₃	1	1	yes	characteristic
222	C₃×#102	—	3	1	no	—
223	C₃×#102	—	3	1	no	—
224	C₃×#97	—	2	1	no	—
225	C₃×#97	—	3	1	no	—
226	C₃×#97	C₂×D₃	1	1	yes	characteristic
227	C₃×#97	C₂²×C₃	1	1	yes	characteristic
228	C₃×C₄×C₈	—	3	1	no	—
229	C₃×C₄×C₈	—	3	1	no	—
230	#835	C₂²×C₃	1	1	yes	characteristic
231	#835	C₂²×C₃	1	1	yes	characteristic
232	#821	C₂²×C₃	1	1	yes	characteristic
233	#818	C₂²×C₃	1	1	yes	characteristic
234	#816	C₂²×C₃	1	1	yes	characteristic
235	#815	C₂²×C₃	1	1	yes	characteristic
236	C₈×Dic₃	C₂²×C₃	1	1	yes	characteristic
237	#810	C₂²×C₃	1	1	yes	characteristic
238	#809	C₂²×C₃	1	1	yes	characteristic
239	#808	C₂²×C₃	1	1	yes	characteristic
240	#807	C₂²×C₃	1	1	yes	characteristic
241	C₄×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
242	C₂²×C₃×D₃	—	2	1	no	—
243	C₂²×C₃×D₃	C₂×D₄	1	1	yes	characteristic
244	C₃²×Q₈	—	2	1	no	—
245	C₃²×Q₈	—	2	1	no	—
246	C₃²×Q₈	C₂²×C₄	1	2	yes	—
247	C₃²×Q₈	C₂²×C₄	1	2	yes	—
248	C₂×C₃²×C₄	—	2	1	no	—
249	C₂×C₃²×C₄	—	2	1	no	—
250	C₂×C₃²×C₄	—	2	1	no	—
251	C₂×C₃²×C₄	—	2	1	no	—
252	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
253	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
254	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
255	C₂×C₃×Dic₃	—	2	1	no	—
256	C₂×C₃×Dic₃	—	2	1	no	—
257	C₂×C₃×Dic₃	—	2	1	no	—
258	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
259	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
260	C₂×C₃×Dic₃	C₂×D₄	1	1	yes	characteristic
261	C₃×D₁₂	—	2	4	no	—
262	C₃×D₁₂	—	2	1	no	—
263	C₃×D₁₂	C₂²×C₄	1	2	yes	—
264	C₃×C₄×D₃	—	2	4	no	—
265	C₃×C₄×D₃	—	2	4	no	—
266	C₃×C₄×D₃	—	8	1	no	—
267	C₃×C₄×D₃	—	8	1	no	—
268	C₃×C₄×D₃	—	8	1	no	—
269	C₃×C₄×D₃	C₂²×C₄	1	2	yes	—
270	C₃×C₄×D₃	#41	1	2	yes	—
271	C₃×Dic₆	—	2	1	no	—
272	C₃×Dic₆	—	2	4	no	—
273	C₃×Dic₆	C₂²×C₄	1	2	yes	—
274	C₃²×C₈	—	2	1	no	—
275	C₃²×C₈	C₂²×C₄	1	2	yes	—
276	C₃×C₃⋊C₈	—	2	1	no	—
277	C₃×C₃⋊C₈	C₂²×C₄	1	2	yes	—
278	C₂×#137	—	3	1	no	—
279	#520	—	3	1	no	—
280	#519	—	3	1	no	—
281	#441	—	3	1	no	—
282	#441	C₃×D₃	1	1	yes	characteristic, complemented
283	#440	—	3	1	no	—
284	#440	—	3	1	no	—
285	C₄×Q₁₆	—	3	1	no	—
286	C₄×Q₁₆	—	3	1	no	—
287	C₄×SD₁₆	—	3	1	no	—
288	C₄×SD₁₆	—	3	1	no	—
289	#428	—	3	1	no	—
290	#416	—	3	1	no	—
291	C₂×#103	—	3	1	no	—
292	#405	—	3	1	no	—
293	C₃×#41	—	3	4	no	—
294	C₃×#41	—	6	2	no	—
295	C₂×C₃×Q₈	—	2	1	no	—
296	C₂×C₃×Q₈	—	2	1	no	—
297	C₂×C₃×Q₈	—	3	4	no	—
298	C₂×C₃×Q₈	—	3	1	no	—
299	C₂×C₃×Q₈	—	6	1	no	—
300	C₂×C₃×Q₈	—	6	2	no	—
301	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
302	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
303	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
304	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
305	C₂×C₃×D₄	—	3	1	no	—
306	C₂×C₃×D₄	—	6	1	no	—
307	C₂²×C₃×C₄	—	3	1	no	—
308	C₂²×C₃×C₄	—	6	1	no	—
309	C₂²×C₃×C₄	—	6	1	no	—
310	C₂²×C₃×C₄	—	6	1	no	—
311	C₂²×C₃×C₄	—	6	1	no	—
312	C₂²×C₃×C₄	—	6	1	no	—
313	#239	—	2	2	no	—
314	#239	C₂×C₃×C₄	1	4	yes	—
315	D₃×Q₈	—	2	2	no	—
316	D₃×Q₈	C₂×C₃×C₄	1	4	yes	complemented
317	C₂×D₁₂	—	2	1	no	—
318	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
319	C₂×C₄×D₃	—	2	1	no	—
320	C₂×C₄×D₃	—	2	1	no	—
321	C₂×C₄×D₃	—	2	1	no	—
322	C₂×C₄×D₃	—	2	1	no	—
323	C₂×C₄×D₃	—	2	1	no	—
324	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
325	C₂×Dic₆	—	2	1	no	—
326	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
327	C₃×Q₁₆	—	2	4	no	—
328	C₃×Q₁₆	—	3	4	no	—
329	C₃×Q₁₆	C₄×D₃	1	4	yes	complemented
330	C₃×Q₁₆	C₂×C₃×C₄	1	4	yes	complemented
331	C₃×SD₁₆	—	3	4	no	—
332	C₃×SD₁₆	—	3	4	no	—
333	C₃×M₁₆	—	3	4	no	—
334	C₂×C₃×C₈	—	2	1	no	—
335	C₂×C₃×C₈	—	2	1	no	—
336	C₂×C₃×C₈	—	3	1	no	—
337	C₂×C₃×C₈	—	3	1	no	—
338	C₂×C₃×C₈	—	6	2	no	—
339	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
340	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
341	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
342	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
343	C₃×C₄⋊C₄	—	2	1	no	—
344	C₃×C₄⋊C₄	—	2	1	no	—
345	C₃×C₄⋊C₄	—	2	1	no	—
346	C₃×C₄⋊C₄	—	2	1	no	—
347	C₃×C₄⋊C₄	—	2	1	no	—
348	C₃×C₄⋊C₄	—	2	1	no	—
349	C₃×C₄⋊C₄	—	3	1	no	—
350	C₃×C₄⋊C₄	—	3	1	no	—
351	C₃×C₄⋊C₄	—	3	1	no	—
352	C₃×C₄⋊C₄	—	3	1	no	—
353	C₃×C₄⋊C₄	—	4	1	no	—
354	C₃×C₄⋊C₄	—	4	1	no	—
355	C₃×C₄⋊C₄	—	6	1	no	—
356	C₃×C₄⋊C₄	—	6	1	no	—
357	C₃×C₄⋊C₄	—	6	1	no	—
358	C₃×C₄⋊C₄	—	6	1	no	—
359	C₃×C₄⋊C₄	—	6	1	no	—
360	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
361	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
362	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
363	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
364	C₃×C₂²⋊C₄	—	3	1	no	—
365	C₃×C₂²⋊C₄	—	3	1	no	—
366	C₃×C₂²⋊C₄	—	6	1	no	—
367	C₃×C₂²⋊C₄	—	6	1	no	—
368	C₃×C₂²⋊C₄	—	6	1	no	—
369	C₃×C₄²	—	2	1	no	—
370	C₃×C₄²	—	2	1	no	—
371	C₃×C₄²	—	2	1	no	—
372	C₃×C₄²	—	2	1	no	—
373	C₃×C₄²	—	2	1	no	—
374	C₃×C₄²	—	3	1	no	—
375	C₃×C₄²	—	4	1	no	—
376	C₃×C₄²	—	4	1	no	—
377	C₃×C₄²	—	6	1	no	—
378	C₃×C₄²	—	6	1	no	—
379	C₃×C₄²	—	6	1	no	—
380	C₃×C₄²	—	6	1	no	—
381	C₃×C₄²	—	6	1	no	—
382	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
383	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
384	#216	C₂×C₃×C₄	1	4	yes	complemented
385	#215	C₂×C₃×C₄	1	4	yes	complemented
386	(C₂×D₃)⋊C₄	—	2	1	no	—
387	(C₂×D₃)⋊C₄	—	2	1	no	—
388	(C₂×D₃)⋊C₄	—	2	1	no	—
389	(C₂×D₃)⋊C₄	C₃×D₄	1	1	yes	characteristic
390	(C₂×D₃)⋊C₄	C₃×D₄	1	1	yes	characteristic
391	C₄⋊Dic₃	—	2	1	no	—
392	C₄⋊Dic₃	—	2	1	no	—
393	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
394	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
395	Dic₃⋊C₄	—	2	1	no	—
396	Dic₃⋊C₄	—	2	1	no	—
397	Dic₃⋊C₄	—	2	1	no	—
398	Dic₃⋊C₄	C₃×D₄	1	1	yes	characteristic
399	Dic₃⋊C₄	C₃×D₄	1	1	yes	characteristic
400	C₄×Dic₃	—	2	1	no	—
401	C₄×Dic₃	—	2	1	no	—
402	C₄×Dic₃	—	2	1	no	—
403	C₄×Dic₃	—	2	1	no	—
404	C₄×Dic₃	—	2	1	no	—
405	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
406	C₂×C₃⋊C₈	C₂³×C₃	1	1	yes	characteristic
407	C₂×C₃⋊C₈	C₂³×C₃	1	1	yes	characteristic
408	#204	C₂×C₃×C₄	1	4	yes	complemented
409	ΓL(1,𝔽₂₅)	C₂×C₃×C₄	1	4	yes	complemented
410	D₃×C₈	—	2	2	no	—
411	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
412	C₂×C₃×D₃	—	2	1	no	—
413	C₂×C₃×D₃	—	2	1	no	—
414	C₂×C₃×D₃	—	2	2	no	—
415	C₂×C₃×D₃	—	4	1	no	—
416	C₂×C₃×D₃	—	4	1	no	—
417	C₂×C₃×D₃	C₄×D₄	1	2	yes	—
418	C₃²×C₄	—	2	2	no	—
419	C₃²×C₄	—	2	2	no	—
420	C₃²×C₄	—	2	1	no	—
421	C₃²×C₄	—	2	1	no	—
422	C₃²×C₄	—	4	1	no	—
423	C₃²×C₄	—	4	1	no	—
424	C₃²×C₄	C₂³×C₄	1	1	yes	characteristic
425	C₃²×C₄	C₂×#41	1	1	yes	characteristic
426	C₃×Dic₃	—	2	2	no	—
427	C₃×Dic₃	—	2	1	no	—
428	C₃×Dic₃	—	2	1	no	—
429	C₃×Dic₃	—	4	1	no	—
430	C₃×Dic₃	—	4	1	no	—
431	C₃×Dic₃	C₄×D₄	1	2	yes	—
432	C₂×#41	—	3	1	no	—
433	C₂²×Q₈	—	3	1	no	—
434	#137	—	3	8	no	—
435	C₂×Q₁₆	—	3	1	no	—
436	C₂×Q₁₆	C₂×C₃×D₃	1	1	yes	characteristic
437	C₂×SD₁₆	—	3	1	no	—
438	C₂×SD₁₆	—	3	1	no	—
439	C₂×M₁₆	—	3	1	no	—
440	C₂²×C₈	—	3	1	no	—
441	C₄×Q₈	—	3	1	no	—
442	C₄×Q₈	—	3	1	no	—
443	C₄×Q₈	—	3	1	no	—
444	C₄×Q₈	—	3	1	no	—
445	C₄×Q₈	—	6	1	no	—
446	C₄×Q₈	—	6	1	no	—
447	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
448	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
449	C₄×D₄	—	3	1	no	—
450	C₄×D₄	—	3	1	no	—
451	C₄×D₄	—	6	1	no	—
452	C₄×D₄	—	6	1	no	—
453	#117	—	3	1	no	—
454	#117	—	3	1	no	—
455	#117	—	6	1	no	—
456	#117	—	6	1	no	—
457	#117	—	6	1	no	—
458	C₂×C₄⋊C₄	—	3	1	no	—
459	C₂×C₄⋊C₄	—	6	1	no	—
460	#107	—	3	1	no	—
461	#107	—	3	1	no	—
462	#106	—	3	1	no	—
463	#106	C₂×C₃×D₃	1	1	yes	characteristic
464	#103	—	3	1	no	—
465	#103	—	3	1	no	—
466	#103	—	3	1	no	—
467	#103	—	3	1	no	—
468	#103	C₂×C₃×D₃	1	1	yes	characteristic
469	#103	C₂×C₃×D₃	1	1	yes	characteristic
470	#102	—	3	1	no	—
471	#102	—	3	1	no	—
472	#97	—	3	1	no	—
473	#97	C₂×C₃×D₃	1	1	yes	characteristic
474	C₄×C₈	—	3	1	no	—
475	C₄×C₈	—	3	1	no	—
476	C₂³×C₃	—	3	1	no	—
477	C₂³×C₃	—	6	1	no	—
478	C₂²×D₃	—	2	1	no	—
479	C₂²×D₃	C₂×C₃×D₄	1	1	yes	characteristic
480	C₃×Q₈	—	2	1	no	—
481	C₃×Q₈	—	2	1	no	—
482	C₃×Q₈	—	2	1	no	—
483	C₃×Q₈	—	2	1	no	—
484	C₃×Q₈	—	2	2	no	—
485	C₃×Q₈	—	2	2	no	—
486	C₃×Q₈	—	3	2	no	—
487	C₃×Q₈	—	4	1	no	—
488	C₃×Q₈	—	4	1	no	—
489	C₃×Q₈	—	6	4	no	—
490	C₃×Q₈	—	6	1	no	—
491	C₃×Q₈	C₂×C₄×D₃	1	2	yes	—
492	C₃×Q₈	C₂×C₄×D₃	1	2	yes	—
493	C₃×Q₈	C₂²×C₃×C₄	1	2	yes	—
494	C₃×Q₈	C₂²×C₃×C₄	1	2	yes	—
495	C₃×D₄	—	3	2	no	—
496	C₃×D₄	—	6	4	no	—
497	C₃×D₄	—	6	1	no	—
498	C₂×C₃×C₄	—	2	1	no	—
499	C₂×C₃×C₄	—	2	1	no	—
500	C₂×C₃×C₄	—	2	1	no	—
501	C₂×C₃×C₄	—	2	1	no	—
502	C₂×C₃×C₄	—	2	1	no	—
503	C₂×C₃×C₄	—	2	1	no	—
504	C₂×C₃×C₄	—	2	1	no	—
505	C₂×C₃×C₄	—	2	1	no	—
506	C₂×C₃×C₄	—	2	1	no	—
507	C₂×C₃×C₄	—	2	1	no	—
508	C₂×C₃×C₄	—	2	1	no	—
509	C₂×C₃×C₄	—	3	1	no	—
510	C₂×C₃×C₄	—	3	2	no	—
511	C₂×C₃×C₄	—	3	2	no	—
512	C₂×C₃×C₄	—	3	1	no	—
513	C₂×C₃×C₄	—	3	1	no	—
514	C₂×C₃×C₄	—	4	1	no	—
515	C₂×C₃×C₄	—	4	1	no	—
516	C₂×C₃×C₄	—	4	1	no	—
517	C₂×C₃×C₄	—	4	1	no	—
518	C₂×C₃×C₄	—	6	4	no	—
519	C₂×C₃×C₄	—	6	4	no	—
520	C₂×C₃×C₄	—	6	1	no	—
521	C₂×C₃×C₄	—	6	1	no	—
522	C₂×C₃×C₄	—	6	1	no	—
523	C₂×C₃×C₄	—	24	1	no	—
524	C₂×C₃×C₄	—	24	1	no	—
525	C₂×C₃×C₄	—	24	1	no	—
526	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
527	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
528	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
529	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
530	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
531	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
532	C₂×Dic₃	—	2	1	no	—
533	C₂×Dic₃	—	2	1	no	—
534	C₂×Dic₃	—	2	1	no	—
535	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
536	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
537	C₂×Dic₃	C₂×C₃×D₄	1	1	yes	characteristic
538	D₁₂	—	2	4	no	—
539	D₁₂	—	2	1	no	—
540	D₁₂	C₂²×C₃×C₄	1	2	yes	—
541	C₄×D₃	—	2	4	no	—
542	C₄×D₃	—	2	4	no	—
543	C₄×D₃	—	8	1	no	—
544	C₄×D₃	—	8	1	no	—
545	C₄×D₃	—	8	1	no	—
546	C₄×D₃	C₂²×C₃×C₄	1	2	yes	—
547	C₄×D₃	C₃×#41	1	2	yes	—
548	Dic₆	—	2	1	no	—
549	Dic₆	—	2	4	no	—
550	Dic₆	C₂²×C₃×C₄	1	2	yes	—
551	C₃×C₈	—	2	1	no	—
552	C₃×C₈	—	2	1	no	—
553	C₃×C₈	—	2	2	no	—
554	C₃×C₈	—	3	2	no	—
555	C₃×C₈	—	4	1	no	—
556	C₃×C₈	—	6	1	no	—
557	C₃×C₈	C₂×C₄×D₃	1	2	yes	—
558	C₃×C₈	C₂²×C₃×C₄	1	2	yes	—
559	C₃⋊C₈	—	2	1	no	—
560	C₃⋊C₈	C₂²×C₃×C₄	1	2	yes	—
561	C₂×C₃²	C₂×C₄×D₄	1	1	yes	characteristic
562	C₂×C₃²	#577	1	1	yes	characteristic
563	C₂×C₃²	#578	1	1	yes	characteristic
564	C₃×D₃	—	2	2	no	—
565	C₃×D₃	—	4	2	no	—
566	#41	—	3	4	no	—
567	#41	—	6	2	no	—
568	C₂×Q₈	—	3	4	no	—
569	C₂×Q₈	—	3	1	no	—
570	C₂×Q₈	—	6	1	no	—
571	C₂×Q₈	—	6	2	no	—
572	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
573	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
574	C₂×D₄	—	3	1	no	—
575	C₂×D₄	—	6	1	no	—
576	C₂²×C₄	—	3	1	no	—
577	C₂²×C₄	—	6	1	no	—
578	C₂²×C₄	—	6	1	no	—
579	C₂²×C₄	—	6	1	no	—
580	C₂²×C₄	—	6	1	no	—
581	C₂²×C₄	—	6	1	no	—
582	Q₁₆	—	3	4	no	—
583	Q₁₆	C₃×C₄×D₃	1	4	yes	complemented
584	SD₁₆	—	3	4	no	—
585	SD₁₆	—	3	4	no	—
586	M₁₆	—	3	4	no	—
587	C₂×C₈	—	3	1	no	—
588	C₂×C₈	—	3	1	no	—
589	C₂×C₈	—	6	2	no	—
590	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
591	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
592	C₄⋊C₄	—	2	1	no	—
593	C₄⋊C₄	—	2	1	no	—
594	C₄⋊C₄	—	3	1	no	—
595	C₄⋊C₄	—	3	1	no	—
596	C₄⋊C₄	—	3	1	no	—
597	C₄⋊C₄	—	3	1	no	—
598	C₄⋊C₄	—	6	1	no	—
599	C₄⋊C₄	—	6	1	no	—
600	C₄⋊C₄	—	6	1	no	—
601	C₄⋊C₄	—	6	1	no	—
602	C₄⋊C₄	—	6	1	no	—
603	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
604	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
605	C₂²⋊C₄	—	3	1	no	—
606	C₂²⋊C₄	—	3	1	no	—
607	C₂²⋊C₄	—	6	1	no	—
608	C₂²⋊C₄	—	6	1	no	—
609	C₂²⋊C₄	—	6	1	no	—
610	C₄²	—	2	1	no	—
611	C₄²	—	2	1	no	—
612	C₄²	—	3	1	no	—
613	C₄²	—	6	1	no	—
614	C₄²	—	6	1	no	—
615	C₄²	—	6	1	no	—
616	C₄²	—	6	1	no	—
617	C₄²	—	6	1	no	—
618	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
619	C₂²×C₃	—	2	1	no	—
620	C₂²×C₃	—	3	2	no	—
621	C₂²×C₃	—	6	1	no	—
622	C₂²×C₃	—	6	1	no	—
623	C₂²×C₃	—	6	2	no	—
624	C₂²×C₃	—	12	1	no	—
625	C₂²×C₃	—	12	1	no	—
626	C₂²×C₃	C₂×D₃×D₄	1	1	yes	characteristic
627	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
628	C₂×D₃	—	2	1	no	—
629	C₂×D₃	—	2	1	no	—
630	C₂×D₃	—	2	2	no	—
631	C₂×D₃	—	4	1	no	—
632	C₂×D₃	—	4	1	no	—
633	C₂×D₃	C₃×C₄×D₄	1	2	yes	—
634	C₃×C₄	—	2	1	no	—
635	C₃×C₄	—	2	1	no	—
636	C₃×C₄	—	2	1	no	—
637	C₃×C₄	—	2	1	no	—
638	C₃×C₄	—	2	2	no	—
639	C₃×C₄	—	2	2	no	—
640	C₃×C₄	—	2	2	no	—
641	C₃×C₄	—	2	2	no	—
642	C₃×C₄	—	2	1	no	—
643	C₃×C₄	—	2	1	no	—
644	C₃×C₄	—	3	2	no	—
645	C₃×C₄	—	4	1	no	—
646	C₃×C₄	—	4	1	no	—
647	C₃×C₄	—	4	2	no	—
648	C₃×C₄	—	4	2	no	—
649	C₃×C₄	—	4	1	no	—
650	C₃×C₄	—	4	1	no	—
651	C₃×C₄	—	4	1	no	—
652	C₃×C₄	—	4	1	no	—
653	C₃×C₄	—	6	1	no	—
654	C₃×C₄	—	6	1	no	—
655	C₃×C₄	—	6	2	no	—
656	C₃×C₄	—	8	1	no	—
657	C₃×C₄	—	8	1	no	—
658	C₃×C₄	—	12	1	no	—
659	C₃×C₄	—	12	1	no	—
660	C₃×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
661	C₃×C₄	D₃×#41	1	1	yes	characteristic
662	C₃×C₄	C₂³×C₃×C₄	1	1	yes	characteristic
663	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
664	Dic₃	—	2	1	no	—
665	Dic₃	—	2	1	no	—
666	Dic₃	—	2	2	no	—
667	Dic₃	—	4	1	no	—
668	Dic₃	—	4	1	no	—
669	Dic₃	C₃×C₄×D₄	1	2	yes	—
670	C₃²	#2947	1	1	yes	characteristic, complemented, Sylow
671	C₂³	—	3	1	no	—
672	C₂³	—	6	1	no	—
673	Q₈	—	2	1	no	—
674	Q₈	—	2	1	no	—
675	Q₈	—	3	2	no	—
676	Q₈	—	6	4	no	—
677	Q₈	—	6	1	no	—
678	Q₈	C₂×C₃×C₄×D₃	1	2	yes	—
679	Q₈	C₂×C₃×C₄×D₃	1	2	yes	—
680	D₄	—	3	2	no	—
681	D₄	—	6	4	no	—
682	D₄	—	6	1	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	3	1	no	—
688	C₂×C₄	—	3	2	no	—
689	C₂×C₄	—	3	2	no	—
690	C₂×C₄	—	3	1	no	—
691	C₂×C₄	—	3	1	no	—
692	C₂×C₄	—	6	4	no	—
693	C₂×C₄	—	6	4	no	—
694	C₂×C₄	—	6	1	no	—
695	C₂×C₄	—	6	1	no	—
696	C₂×C₄	—	6	1	no	—
697	C₂×C₄	—	24	1	no	—
698	C₂×C₄	—	24	1	no	—
699	C₂×C₄	—	24	1	no	—
700	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
701	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
702	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
703	C₈	—	2	1	no	—
704	C₈	—	3	2	no	—
705	C₈	—	6	1	no	—
706	C₈	C₂×C₃×C₄×D₃	1	2	yes	—
707	C₂×C₃	—	2	1	no	—
708	C₂×C₃	—	2	1	no	—
709	C₂×C₃	—	2	1	no	—
710	C₂×C₃	—	6	2	no	—
711	C₂×C₃	—	12	2	no	—
712	C₂×C₃	C₄×D₃×D₄	1	1	yes	characteristic
713	C₂×C₃	#5778	1	1	yes	characteristic
714	C₂×C₃	#5779	1	1	yes	characteristic
715	C₂×C₃	C₂×C₃×C₄×D₄	1	1	yes	characteristic
716	C₂×C₃	C₃×#577	1	1	yes	characteristic
717	C₂×C₃	C₃×#578	1	1	yes	characteristic
718	D₃	—	2	2	no	—
719	D₃	—	4	2	no	—
720	C₂²	—	3	2	no	—
721	C₂²	—	6	1	no	—
722	C₂²	—	6	1	no	—
723	C₂²	—	6	2	no	—
724	C₂²	—	12	1	no	—
725	C₂²	—	12	1	no	—
726	C₂²	C₂×C₃×D₃×D₄	1	1	yes	characteristic
727	C₄	—	2	1	no	—
728	C₄	—	2	1	no	—
729	C₄	—	2	2	no	—
730	C₄	—	2	2	no	—
731	C₄	—	3	2	no	—
732	C₄	—	4	1	no	—
733	C₄	—	4	1	no	—
734	C₄	—	6	1	no	—
735	C₄	—	6	1	no	—
736	C₄	—	6	2	no	—
737	C₄	—	12	1	no	—
738	C₄	—	12	1	no	—
739	C₄	C₂²×C₃×C₄×D₃	1	1	yes	characteristic
740	C₄	C₃×D₃×#41	1	1	yes	characteristic
741	C₃	—	2	1	no	—
742	C₃	#79830	1	1	yes	characteristic, direct product factor
743	C₃	C₃×#2947	1	1	yes	characteristic, complemented
744	C₂	—	6	2	no	—
745	C₂	—	12	2	no	—
746	C₂	C₃×C₄×D₃×D₄	1	1	yes	characteristic
747	C₂	C₃×#5778	1	1	yes	characteristic
748	C₂	C₃×#5779	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂×D₃×D₄
commutator	C₃×C₄	C₂³×C₃×C₄
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×#441	C₂
socle	C₂²×C₃²	C₂²×D₄
prime radical	C₂×C₃×#239	C₂²
cosocle	C₂×C₃×C₄	C₂⁴×C₃
hypercenter	C₃×#441	D₃
hypocenter	C₃	C₃×#2947
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄² ◁ C₃×#441

Complements

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

N	H ≅ G/N	type
3. C₃×#5572	C₂	semidirect
4. C₃²×#441	C₂	semidirect
5. C₃×Dic₃×Q₁₆	C₂	semidirect
6. C₃×C₄×#216	C₂	semidirect
7. C₃×C₄×#215	C₂	semidirect
8. C₃×#4861	C₂	semidirect
9. C₃×#4852	C₂	semidirect
10. C₃×#4817	C₂	semidirect
12. C₃×D₃×#103	C₂	semidirect
13. C₃×#4789	C₂	semidirect
14. C₃×#4710	C₂	semidirect
15. C₃×#4708	C₂	semidirect
17. #79830	C₃	direct (N × H)
27. C₃×#918	C₄	semidirect
67. #5572	C₂×C₃	semidirect
70. C₃×#441	D₃	semidirect
71. C₃×#441	C₂×C₃	semidirect
82. Dic₃×Q₁₆	C₂×C₃	semidirect
83. C₄×#216	C₂×C₃	semidirect
84. C₄×#215	C₂×C₃	semidirect
85. #4861	C₂×C₃	semidirect
86. #4852	C₂×C₃	semidirect
87. #4817	C₂×C₃	semidirect
89. D₃×#103	C₂×C₃	semidirect
90. #4789	C₂×C₃	semidirect
91. #4710	C₂×C₃	semidirect
92. #4708	C₂×C₃	semidirect
98. C₃×D₃×Q₈	C₂×C₄	semidirect
109. C₃²×Q₁₆	C₂×C₄	semidirect
119. C₃×#216	C₂×C₄	semidirect
120. C₃×#215	C₂×C₄	semidirect
143. C₃×#204	C₂×C₄	semidirect
144. C₃×ΓL(1,𝔽₂₅)	C₂×C₄	semidirect
187. #918	C₃×C₄	semidirect
282. #441	C₃×D₃	semidirect
316. D₃×Q₈	C₂×C₃×C₄	semidirect
329. C₃×Q₁₆	C₄×D₃	semidirect
330. C₃×Q₁₆	C₂×C₃×C₄	semidirect
384. #216	C₂×C₃×C₄	semidirect
385. #215	C₂×C₃×C₄	semidirect
408. #204	C₂×C₃×C₄	semidirect
409. ΓL(1,𝔽₂₅)	C₂×C₃×C₄	semidirect
583. Q₁₆	C₃×C₄×D₃	semidirect
670. C₃²	#2947	semidirect
742. C₃	#79830	direct (N × H)
743. C₃	C₃×#2947	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#918	2
C₃×#5574	2
C₃×#5572	2
C₃²×#441	2
C₃×Dic₃×Q₁₆	2
C₃×C₄×#216	2
C₃×C₄×#215	2
C₃×#4861	2
C₃×#4852	2
C₃×#4817	2
C₃×#4804	2
C₃×D₃×#103	2
C₃×#4789	2
C₃×#4710	2
C₃×#4708	2
C₃×#2947	3
#79830	3

Subgroups — C3×#79830 #11860576

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#79830 #11860576