Subgroups — C₃×#79450 #11887870

Order 1152.

863 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#5565	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5552	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×C₈×D₄	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5115	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5114	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5113	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃×#816	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#4844	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#4829	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#4738	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#4735	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#4734	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#4723	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#4697	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×#204	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3301	—	3	1	no	maximal
17	#79450	C₃	1	1	yes	maximal, characteristic, direct product factor
18	C₂×C₃×#235	C₂²	1	1	yes	characteristic
19	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic
20	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
21	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
22	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
23	C₃×#939	—	2	1	no	—
24	C₃×#939	—	2	1	no	—
25	C₃×#930	C₂²	1	1	yes	characteristic
26	C₃×#930	C₂²	1	1	yes	characteristic
27	C₃×#930	C₂²	1	1	yes	characteristic
28	C₃×#926	C₂²	1	1	yes	characteristic
29	C₂×C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
30	C₃×#924	C₂²	1	1	yes	characteristic
31	C₂×C₃×D₂₄	C₂²	1	1	yes	characteristic
32	C₂×C₃×#204	C₂²	1	1	yes	characteristic
33	C₂×C₃×#204	C₂²	1	1	yes	characteristic
34	C₃×#898	—	2	1	no	—
35	C₃×#896	—	2	1	no	—
36	C₃×#885	—	2	1	no	—
37	C₃×#883	—	2	1	no	—
38	C₃×#67⋊C₄	—	2	1	no	—
39	C₃×#67⋊C₄	—	2	1	no	—
40	C₃×#875	C₂²	1	1	yes	characteristic
41	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
42	C₃×#870	C₂²	1	1	yes	characteristic
43	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic
44	C₃²×C₄⋊C₈	C₂²	1	1	yes	characteristic
45	C₃²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
46	C₃²×C₂²⋊C₈	C₂²	1	1	yes	characteristic
47	C₃²×C₄×C₈	C₂²	1	1	yes	characteristic
48	C₃×#821	C₂²	1	1	yes	characteristic
49	C₃×#821	C₂²	1	1	yes	characteristic
50	C₃×#821	C₂²	1	1	yes	characteristic
51	C₃×#821	C₂²	1	1	yes	characteristic
52	C₃×#818	C₂²	1	1	yes	characteristic
53	C₃×#817	C₂²	1	1	yes	characteristic
54	C₃×#817	C₂²	1	1	yes	characteristic
55	C₃×#816	C₂²	1	1	yes	characteristic
56	C₃×#816	C₂²	1	1	yes	characteristic
57	C₃×#816	C₂²	1	1	yes	characteristic
58	C₃×#816	C₂²	1	1	yes	characteristic
59	C₃×#816	C₂²	1	1	yes	characteristic
60	C₃×#816	C₂²	1	1	yes	characteristic
61	C₃×#553	—	3	1	no	—
62	C₃×#548	—	3	1	no	—
63	#5565	C₂×C₃	1	1	yes	characteristic, complemented
64	#5552	C₂×C₃	1	1	yes	characteristic, complemented
65	C₃×#488	—	3	1	no	—
66	C₃×#485	—	3	1	no	—
67	C₃×#481	—	3	1	no	—
68	C₃×#479	—	3	1	no	—
69	C₃×#466	—	3	1	no	—
70	C₃×#465	—	3	1	no	—
71	C₃×#463	—	3	1	no	—
72	C₃×#449	—	3	1	no	—
73	C₃×#448	—	3	1	no	—
74	C₃×C₄×SD₁₆	—	3	1	no	—
75	C₃×C₈×D₄	—	2	1	no	—
76	C₃×C₈×D₄	D₃	1	1	yes	characteristic, complemented
77	C₃×C₈×D₄	C₂×C₃	1	1	yes	characteristic, complemented
78	C₃×#416	—	3	1	no	—
79	C₂×C₃×#103	—	3	1	no	—
80	#5115	C₂×C₃	1	1	yes	characteristic, complemented
81	#5114	C₂×C₃	1	1	yes	characteristic, complemented
82	#5113	C₂×C₃	1	1	yes	characteristic, complemented
83	C₂×#816	C₂×C₃	1	1	yes	characteristic, complemented
84	#4844	C₂×C₃	1	1	yes	characteristic, complemented
85	#4829	C₂×C₃	1	1	yes	characteristic, complemented
86	#4738	C₂×C₃	1	1	yes	characteristic, complemented
87	#4735	C₂×C₃	1	1	yes	characteristic, complemented
88	#4734	C₂×C₃	1	1	yes	characteristic, complemented
89	#4723	C₂×C₃	1	1	yes	characteristic, complemented
90	#4697	C₂×C₃	1	1	yes	characteristic, complemented
91	C₄×#204	C₂×C₃	1	1	yes	characteristic, complemented
92	C₂×C₃²×D₄	D₄	1	1	yes	characteristic
93	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
94	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
95	C₂×C₃×#67	—	2	1	no	—
96	C₂×C₃×#67	—	2	1	no	—
97	C₂×C₃×#67	—	2	1	no	—
98	C₂×C₃×#67	—	2	1	no	—
99	C₂²×C₃×Dic₃	—	2	1	no	—
100	C₂²×C₃×Dic₃	—	2	1	no	—
101	C₃×#235	—	2	2	no	—
102	C₃×#235	—	4	1	no	—
103	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
104	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
105	C₂×C₃×C₄×D₃	—	2	1	no	—
106	C₂×C₃×C₄×D₃	—	2	1	no	—
107	C₂×C₃×Dic₆	—	2	2	no	—
108	C₂×C₃×Dic₆	—	2	1	no	—
109	C₂×C₃×Dic₆	—	4	1	no	—
110	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
111	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
112	C₂×C₃²×C₈	—	4	1	no	—
113	C₂×C₃²×C₈	—	4	1	no	—
114	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
115	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
116	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
117	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
118	C₃²×C₄⋊C₄	D₄	1	1	yes	characteristic
119	C₃²×C₂²⋊C₄	D₄	1	1	yes	characteristic
120	C₃²×C₂²⋊C₄	D₄	1	1	yes	characteristic
121	C₃²×C₄²	C₂³	1	1	yes	characteristic
122	C₃×#217	—	2	1	no	—
123	C₃×#217	—	2	1	no	—
124	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
125	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
126	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
127	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
128	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
129	C₃×(C₂×D₃)⋊C₄	—	2	1	no	—
130	C₃×C₄⋊Dic₃	—	2	1	no	—
131	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
132	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
133	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
134	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
135	C₃×Dic₃⋊C₄	—	2	1	no	—
136	C₃×Dic₃⋊C₄	—	2	1	no	—
137	C₃×Dic₃⋊C₄	—	2	1	no	—
138	C₃×Dic₃⋊C₄	—	2	1	no	—
139	C₃×C₄×Dic₃	—	2	1	no	—
140	C₃×C₄×Dic₃	—	2	1	no	—
141	C₃×D₂₄	—	4	1	no	—
142	C₃×#204	—	2	2	no	—
143	C₃×#204	—	4	1	no	—
144	#3301	—	3	1	no	Sylow
145	C₂×C₃×#41	—	3	1	no	—
146	C₂²×C₃×Q₈	—	3	1	no	—
147	C₂×#235	C₂²×C₃	1	1	yes	characteristic
148	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic
149	C₂×C₃×SD₁₆	—	3	1	no	—
150	C₂×C₃×SD₁₆	—	3	1	no	—
151	C₂×C₃×D₈	—	3	1	no	—
152	C₂²×C₃×C₈	—	2	1	no	—
153	C₂²×C₃×C₈	—	2	1	no	—
154	C₂²×C₃×C₈	C₂×D₃	1	1	yes	characteristic
155	C₂²×C₃×C₈	C₂×D₃	1	1	yes	characteristic
156	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
157	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
158	C₃×#126	—	6	1	no	—
159	C₃×#125	—	3	1	no	—
160	C₃×#124	—	3	1	no	—
161	C₃×#124	—	6	1	no	—
162	C₃×#123	—	6	1	no	—
163	C₃×C₂²⋊Q₈	—	3	1	no	—
164	C₃×C₂²⋊Q₈	—	6	1	no	—
165	C₃×#121	—	3	1	no	—
166	C₃×#121	—	3	1	no	—
167	C₃×#121	—	3	1	no	—
168	C₃×#121	—	6	1	no	—
169	C₃×#121	—	6	1	no	—
170	C₃×C₄×Q₈	—	3	1	no	—
171	C₃×C₄×D₄	—	2	1	no	—
172	C₃×C₄×D₄	—	3	1	no	—
173	C₃×C₄×D₄	—	6	1	no	—
174	C₃×C₄×D₄	—	6	1	no	—
175	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
176	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
177	C₃×#117	—	3	1	no	—
178	C₂×C₃×C₄⋊C₄	—	3	1	no	—
179	#939	—	2	1	no	—
180	#939	—	2	1	no	—
181	#930	C₂²×C₃	1	1	yes	characteristic
182	#930	C₂²×C₃	1	1	yes	characteristic
183	#930	C₂²×C₃	1	1	yes	characteristic
184	#926	C₂²×C₃	1	1	yes	characteristic
185	C₂×C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic
186	#924	C₂²×C₃	1	1	yes	characteristic
187	C₂×D₂₄	C₂²×C₃	1	1	yes	characteristic
188	C₂×#204	C₂²×C₃	1	1	yes	characteristic
189	C₂×#204	C₂²×C₃	1	1	yes	characteristic
190	#898	—	2	1	no	—
191	#896	—	2	1	no	—
192	#885	—	2	1	no	—
193	#883	—	2	1	no	—
194	#67⋊C₄	—	2	1	no	—
195	#67⋊C₄	—	2	1	no	—
196	#875	C₂²×C₃	1	1	yes	characteristic
197	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
198	#870	C₂²×C₃	1	1	yes	characteristic
199	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic
200	C₃×#107	—	3	1	no	—
201	C₃×#106	—	3	1	no	—
202	C₃×#106	—	3	1	no	—
203	C₃×C₄⋊C₈	—	2	1	no	—
204	C₃×C₄⋊C₈	C₂×D₃	1	1	yes	characteristic
205	C₃×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
206	C₃×#103	—	3	1	no	—
207	C₃×#103	—	3	1	no	—
208	C₃×#103	—	3	1	no	—
209	C₃×#103	—	3	1	no	—
210	C₃×#103	—	3	1	no	—
211	C₃×#103	—	3	1	no	—
212	C₃×#102	—	3	1	no	—
213	C₃×#102	—	3	1	no	—
214	C₃×#102	—	3	1	no	—
215	C₃×#102	—	3	1	no	—
216	C₃×C₂²⋊C₈	—	2	1	no	—
217	C₃×C₂²⋊C₈	—	2	1	no	—
218	C₃×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic
219	C₃×C₂²⋊C₈	C₂×D₃	1	1	yes	characteristic
220	C₃×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
221	C₃×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
222	C₃×C₄×C₈	—	2	1	no	—
223	C₃×C₄×C₈	C₂×D₃	1	1	yes	characteristic
224	C₃×C₄×C₈	C₂²×C₃	1	1	yes	characteristic
225	#821	C₂²×C₃	1	1	yes	characteristic
226	#821	C₂²×C₃	1	1	yes	characteristic
227	#821	C₂²×C₃	1	1	yes	characteristic
228	#821	C₂²×C₃	1	1	yes	characteristic
229	#818	C₂²×C₃	1	1	yes	characteristic
230	#817	C₂²×C₃	1	1	yes	characteristic
231	#817	C₂²×C₃	1	1	yes	characteristic
232	#816	C₂²×C₃	1	1	yes	characteristic
233	#816	C₂²×C₃	1	1	yes	characteristic
234	#816	C₂²×C₃	1	1	yes	characteristic
235	#816	C₂²×C₃	1	1	yes	characteristic
236	#816	C₂²×C₃	1	1	yes	characteristic
237	#816	C₂²×C₃	1	1	yes	characteristic
238	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
239	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
240	C₂²×C₃×D₃	—	2	1	no	—
241	C₂²×C₃×D₃	—	2	1	no	—
242	C₃²×D₄	—	2	2	no	—
243	C₂×C₃²×C₄	—	2	1	no	—
244	C₂×C₃²×C₄	—	2	1	no	—
245	C₂×C₃²×C₄	—	2	1	no	—
246	C₂×C₃²×C₄	—	2	1	no	—
247	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
248	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
249	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
250	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
251	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
252	C₃×#67	—	4	2	no	—
253	C₃×#67	—	4	2	no	—
254	C₃×#67	—	4	2	no	—
255	C₃×#67	—	8	1	no	—
256	C₂×C₃×Dic₃	—	2	1	no	—
257	C₂×C₃×Dic₃	—	2	1	no	—
258	C₂×C₃×Dic₃	—	2	1	no	—
259	C₂×C₃×Dic₃	—	2	1	no	—
260	C₂×C₃×Dic₃	—	2	1	no	—
261	C₂×C₃×Dic₃	—	2	1	no	—
262	C₂×C₃×Dic₃	—	4	2	no	—
263	C₂×C₃×Dic₃	—	8	1	no	—
264	C₃×D₁₂	—	2	1	no	—
265	C₃×D₁₂	—	2	1	no	—
266	C₃×D₁₂	—	2	1	no	—
267	C₃×D₁₂	—	2	1	no	—
268	C₃×C₄×D₃	—	4	2	no	—
269	C₃×C₄×D₃	—	8	1	no	—
270	C₃×Dic₆	—	2	1	no	—
271	C₃×Dic₆	—	2	1	no	—
272	C₃×Dic₆	—	2	1	no	—
273	C₃×Dic₆	—	4	2	no	—
274	C₃×Dic₆	#41	1	2	yes	—
275	C₃²×C₈	—	2	1	no	—
276	C₃²×C₈	—	2	1	no	—
277	C₃²×C₈	—	2	1	no	—
278	C₃²×C₈	—	2	1	no	—
279	#553	—	3	1	no	—
280	#548	—	3	1	no	—
281	#488	—	3	1	no	—
282	#485	—	3	1	no	—
283	#481	—	3	1	no	—
284	#479	—	3	1	no	—
285	#466	—	3	1	no	—
286	#465	—	3	1	no	—
287	#463	—	3	1	no	—
288	#449	—	3	1	no	—
289	#448	—	3	1	no	—
290	C₄×SD₁₆	—	3	1	no	—
291	C₈×D₄	C₃×D₃	1	1	yes	characteristic, complemented
292	#416	—	3	1	no	—
293	C₂×#103	—	3	1	no	—
294	C₃×#41	—	6	2	no	—
295	C₃×#41	—	12	1	no	—
296	C₂×C₃×Q₈	—	3	1	no	—
297	C₂×C₃×Q₈	—	3	1	no	—
298	C₂×C₃×Q₈	—	6	2	no	—
299	C₂×C₃×Q₈	—	6	1	no	—
300	C₂×C₃×Q₈	—	12	1	no	—
301	C₂×C₃×D₄	—	2	1	no	—
302	C₂×C₃×D₄	—	3	1	no	—
303	C₂×C₃×D₄	—	3	1	no	—
304	C₂×C₃×D₄	—	6	1	no	—
305	C₂×C₃×D₄	—	6	1	no	—
306	C₂×C₃×D₄	—	6	1	no	—
307	C₂×C₃×D₄	—	6	1	no	—
308	C₂×C₃×D₄	D₁₂	1	1	yes	characteristic
309	C₂×C₃×D₄	C₃×D₄	1	1	yes	characteristic
310	C₂²×C₃×C₄	—	2	1	no	—
311	C₂²×C₃×C₄	—	2	1	no	—
312	C₂²×C₃×C₄	—	6	1	no	—
313	C₂²×C₃×C₄	—	6	1	no	—
314	C₂²×C₃×C₄	—	6	1	no	—
315	C₂²×C₃×C₄	—	6	1	no	—
316	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
317	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
318	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
319	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
320	C₂×#67	—	2	1	no	—
321	C₂×#67	—	2	1	no	—
322	C₂×#67	—	2	1	no	—
323	C₂×#67	—	2	1	no	—
324	C₂²×Dic₃	—	2	1	no	—
325	C₂²×Dic₃	—	2	1	no	—
326	#235	—	2	2	no	—
327	#235	—	4	1	no	—
328	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
329	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
330	C₂×C₄×D₃	—	2	1	no	—
331	C₂×C₄×D₃	—	2	1	no	—
332	C₂×Dic₆	—	2	2	no	—
333	C₂×Dic₆	—	2	1	no	—
334	C₂×Dic₆	—	4	1	no	—
335	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
336	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
337	C₃×SD₁₆	—	6	2	no	—
338	C₃×SD₁₆	—	12	1	no	—
339	C₃×D₈	—	12	1	no	—
340	C₂×C₃×C₈	—	2	1	no	—
341	C₂×C₃×C₈	—	2	1	no	—
342	C₂×C₃×C₈	—	2	1	no	—
343	C₂×C₃×C₈	—	2	1	no	—
344	C₂×C₃×C₈	—	4	1	no	—
345	C₂×C₃×C₈	—	4	1	no	—
346	C₂×C₃×C₈	—	4	1	no	—
347	C₂×C₃×C₈	—	4	1	no	—
348	C₂×C₃×C₈	—	4	2	no	—
349	C₂×C₃×C₈	—	4	2	no	—
350	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
351	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
352	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
353	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
354	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
355	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
356	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
357	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
358	C₃×C₄⋊C₄	—	2	1	no	—
359	C₃×C₄⋊C₄	—	3	1	no	—
360	C₃×C₄⋊C₄	—	3	1	no	—
361	C₃×C₄⋊C₄	—	3	1	no	—
362	C₃×C₄⋊C₄	—	3	1	no	—
363	C₃×C₄⋊C₄	—	6	1	no	—
364	C₃×C₄⋊C₄	—	6	1	no	—
365	C₃×C₄⋊C₄	—	6	1	no	—
366	C₃×C₄⋊C₄	—	6	1	no	—
367	C₃×C₄⋊C₄	—	6	1	no	—
368	C₃×C₄⋊C₄	D₁₂	1	1	yes	characteristic
369	C₃×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
370	C₃×C₂²⋊C₄	—	2	1	no	—
371	C₃×C₂²⋊C₄	—	2	1	no	—
372	C₃×C₂²⋊C₄	—	6	1	no	—
373	C₃×C₂²⋊C₄	—	6	1	no	—
374	C₃×C₂²⋊C₄	—	6	1	no	—
375	C₃×C₂²⋊C₄	—	6	1	no	—
376	C₃×C₂²⋊C₄	—	6	1	no	—
377	C₃×C₂²⋊C₄	—	6	1	no	—
378	C₃×C₂²⋊C₄	—	6	1	no	—
379	C₃×C₂²⋊C₄	—	6	1	no	—
380	C₃×C₂²⋊C₄	D₁₂	1	1	yes	characteristic
381	C₃×C₂²⋊C₄	D₁₂	1	1	yes	characteristic
382	C₃×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
383	C₃×C₂²⋊C₄	C₃×D₄	1	1	yes	characteristic
384	C₃×C₄²	—	2	1	no	—
385	C₃×C₄²	—	6	1	no	—
386	C₃×C₄²	—	6	1	no	—
387	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
388	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
389	#217	—	2	1	no	—
390	#217	—	2	1	no	—
391	(C₂×D₃)⋊C₄	—	2	1	no	—
392	(C₂×D₃)⋊C₄	—	2	1	no	—
393	(C₂×D₃)⋊C₄	—	2	1	no	—
394	(C₂×D₃)⋊C₄	—	2	1	no	—
395	(C₂×D₃)⋊C₄	—	2	1	no	—
396	(C₂×D₃)⋊C₄	—	2	1	no	—
397	C₄⋊Dic₃	—	2	1	no	—
398	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
399	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
400	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
401	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
402	Dic₃⋊C₄	—	2	1	no	—
403	Dic₃⋊C₄	—	2	1	no	—
404	Dic₃⋊C₄	—	2	1	no	—
405	Dic₃⋊C₄	—	2	1	no	—
406	C₄×Dic₃	—	2	1	no	—
407	C₄×Dic₃	—	2	1	no	—
408	D₂₄	—	4	1	no	—
409	#204	—	2	2	no	—
410	#204	—	4	1	no	—
411	C₂²×C₃²	—	2	1	no	—
412	C₂²×C₃²	—	2	1	no	—
413	C₂²×C₃²	—	2	1	no	—
414	C₂²×C₃²	—	2	1	no	—
415	C₂²×C₃²	—	2	1	no	—
416	C₂²×C₃²	#135	1	2	yes	—
417	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
418	C₂×C₃×D₃	—	4	1	no	—
419	C₂×C₃×D₃	—	4	1	no	—
420	C₂×C₃×D₃	—	4	1	no	—
421	C₂×C₃×D₃	—	4	1	no	—
422	C₂×C₃×D₃	—	4	1	no	—
423	C₂×C₃×D₃	—	4	1	no	—
424	C₃²×C₄	—	2	1	no	—
425	C₃²×C₄	—	2	1	no	—
426	C₃²×C₄	—	2	1	no	—
427	C₃²×C₄	—	2	1	no	—
428	C₃²×C₄	C₂×#41	1	1	yes	characteristic
429	C₃²×C₄	H(5,𝔽₂)	1	1	yes	characteristic
430	C₃×Dic₃	—	2	2	no	—
431	C₃×Dic₃	—	4	1	no	—
432	C₃×Dic₃	—	4	1	no	—
433	C₃×Dic₃	—	4	1	no	—
434	C₃×Dic₃	—	4	1	no	—
435	C₃×Dic₃	—	4	1	no	—
436	C₂×#41	—	3	1	no	—
437	C₂²×Q₈	—	3	1	no	—
438	C₂×SD₁₆	—	3	1	no	—
439	C₂×SD₁₆	—	3	1	no	—
440	C₂×D₈	—	3	1	no	—
441	C₂²×C₈	C₂×C₃×D₃	1	1	yes	characteristic
442	C₂²×C₈	C₂×C₃×D₃	1	1	yes	characteristic
443	#126	—	6	1	no	—
444	#125	—	3	1	no	—
445	#124	—	3	1	no	—
446	#124	—	6	1	no	—
447	#123	—	6	1	no	—
448	C₂²⋊Q₈	—	3	1	no	—
449	C₂²⋊Q₈	—	6	1	no	—
450	#121	—	3	1	no	—
451	#121	—	3	1	no	—
452	#121	—	3	1	no	—
453	#121	—	6	1	no	—
454	#121	—	6	1	no	—
455	C₄×Q₈	—	3	1	no	—
456	C₄×D₄	—	3	1	no	—
457	C₄×D₄	—	6	1	no	—
458	C₄×D₄	—	6	1	no	—
459	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
460	#117	—	3	1	no	—
461	C₂×C₄⋊C₄	—	3	1	no	—
462	#107	—	3	1	no	—
463	#106	—	3	1	no	—
464	#106	—	3	1	no	—
465	C₄⋊C₈	C₂×C₃×D₃	1	1	yes	characteristic
466	#103	—	3	1	no	—
467	#103	—	3	1	no	—
468	#103	—	3	1	no	—
469	#103	—	3	1	no	—
470	#103	—	3	1	no	—
471	#103	—	3	1	no	—
472	#102	—	3	1	no	—
473	#102	—	3	1	no	—
474	#102	—	3	1	no	—
475	#102	—	3	1	no	—
476	C₂²⋊C₈	C₂×C₃×D₃	1	1	yes	characteristic
477	C₂²⋊C₈	C₂×C₃×D₃	1	1	yes	characteristic
478	C₄×C₈	C₂×C₃×D₃	1	1	yes	characteristic
479	C₂³×C₃	—	2	1	no	—
480	C₂³×C₃	—	2	1	no	—
481	C₂³×C₃	—	6	1	no	—
482	C₂³×C₃	—	6	1	no	—
483	C₂³×C₃	C₂×D₁₂	1	1	yes	characteristic
484	C₂³×C₃	C₂×D₁₂	1	1	yes	characteristic
485	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
486	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
487	C₂²×D₃	—	2	1	no	—
488	C₂²×D₃	—	2	1	no	—
489	C₃×Q₈	—	3	2	no	—
490	C₃×Q₈	—	6	1	no	—
491	C₃×Q₈	—	6	1	no	—
492	C₃×Q₈	—	6	1	no	—
493	C₃×Q₈	—	12	2	no	—
494	C₃×D₄	—	2	4	no	—
495	C₃×D₄	—	2	2	no	—
496	C₃×D₄	—	2	2	no	—
497	C₃×D₄	—	6	1	no	—
498	C₃×D₄	—	6	1	no	—
499	C₃×D₄	—	6	1	no	—
500	C₃×D₄	—	6	1	no	—
501	C₃×D₄	—	12	2	no	—
502	C₃×D₄	—	12	2	no	—
503	C₃×D₄	—	12	2	no	—
504	C₃×D₄	—	24	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	—	2	1	no	—
510	C₂×C₃×C₄	—	2	1	no	—
511	C₂×C₃×C₄	—	2	1	no	—
512	C₂×C₃×C₄	—	2	1	no	—
513	C₂×C₃×C₄	—	2	1	no	—
514	C₂×C₃×C₄	—	2	1	no	—
515	C₂×C₃×C₄	—	2	1	no	—
516	C₂×C₃×C₄	—	2	1	no	—
517	C₂×C₃×C₄	—	2	1	no	—
518	C₂×C₃×C₄	—	4	1	no	—
519	C₂×C₃×C₄	—	4	1	no	—
520	C₂×C₃×C₄	—	4	1	no	—
521	C₂×C₃×C₄	—	4	1	no	—
522	C₂×C₃×C₄	—	6	1	no	—
523	C₂×C₃×C₄	—	6	1	no	—
524	C₂×C₃×C₄	—	6	1	no	—
525	C₂×C₃×C₄	—	6	1	no	—
526	C₂×C₃×C₄	—	6	1	no	—
527	C₂×C₃×C₄	—	6	1	no	—
528	C₂×C₃×C₄	—	12	2	no	—
529	C₂×C₃×C₄	—	12	2	no	—
530	C₂×C₃×C₄	—	24	1	no	—
531	C₂×C₃×C₄	—	24	1	no	—
532	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
533	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
534	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
535	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
536	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
537	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
538	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
539	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
540	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
541	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
542	#67	—	4	2	no	—
543	#67	—	4	2	no	—
544	#67	—	4	2	no	—
545	#67	—	8	1	no	—
546	C₂×Dic₃	—	2	1	no	—
547	C₂×Dic₃	—	2	1	no	—
548	C₂×Dic₃	—	2	1	no	—
549	C₂×Dic₃	—	2	1	no	—
550	C₂×Dic₃	—	2	1	no	—
551	C₂×Dic₃	—	2	1	no	—
552	C₂×Dic₃	—	4	2	no	—
553	C₂×Dic₃	—	8	1	no	—
554	D₁₂	—	2	1	no	—
555	D₁₂	—	2	1	no	—
556	D₁₂	—	2	1	no	—
557	D₁₂	—	2	1	no	—
558	C₄×D₃	—	4	2	no	—
559	C₄×D₃	—	8	1	no	—
560	Dic₆	—	2	1	no	—
561	Dic₆	—	2	1	no	—
562	Dic₆	—	2	1	no	—
563	Dic₆	—	4	2	no	—
564	Dic₆	C₃×#41	1	2	yes	—
565	C₃×C₈	—	2	2	no	—
566	C₃×C₈	—	2	1	no	—
567	C₃×C₈	—	2	1	no	—
568	C₃×C₈	—	2	1	no	—
569	C₃×C₈	—	2	1	no	—
570	C₃×C₈	—	2	1	no	—
571	C₃×C₈	—	2	1	no	—
572	C₃×C₈	—	2	1	no	—
573	C₃×C₈	—	2	1	no	—
574	C₃×C₈	—	4	1	no	—
575	C₃×C₈	—	4	1	no	—
576	C₃×C₈	—	4	1	no	—
577	C₂×C₃²	—	2	2	no	—
578	C₂×C₃²	—	4	1	no	—
579	C₂×C₃²	#546	1	1	yes	characteristic
580	C₂×C₃²	C₂×#135	1	1	yes	characteristic
581	C₂×C₃²	#577	1	1	yes	characteristic
582	C₃×D₃	—	8	1	no	—
583	C₃×D₃	—	8	1	no	—
584	#41	—	6	2	no	—
585	#41	—	12	1	no	—
586	C₂×Q₈	—	3	1	no	—
587	C₂×Q₈	—	3	1	no	—
588	C₂×Q₈	—	6	2	no	—
589	C₂×Q₈	—	6	1	no	—
590	C₂×Q₈	—	12	1	no	—
591	C₂×D₄	—	3	1	no	—
592	C₂×D₄	—	3	1	no	—
593	C₂×D₄	—	6	1	no	—
594	C₂×D₄	—	6	1	no	—
595	C₂×D₄	—	6	1	no	—
596	C₂×D₄	—	6	1	no	—
597	C₂×D₄	C₃×D₁₂	1	1	yes	characteristic
598	C₂²×C₄	—	6	1	no	—
599	C₂²×C₄	—	6	1	no	—
600	C₂²×C₄	—	6	1	no	—
601	C₂²×C₄	—	6	1	no	—
602	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
603	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
604	SD₁₆	—	6	2	no	—
605	SD₁₆	—	12	1	no	—
606	D₈	—	12	1	no	—
607	C₂×C₈	—	4	1	no	—
608	C₂×C₈	—	4	1	no	—
609	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
610	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
611	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
612	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
613	C₄⋊C₄	—	3	1	no	—
614	C₄⋊C₄	—	3	1	no	—
615	C₄⋊C₄	—	3	1	no	—
616	C₄⋊C₄	—	3	1	no	—
617	C₄⋊C₄	—	6	1	no	—
618	C₄⋊C₄	—	6	1	no	—
619	C₄⋊C₄	—	6	1	no	—
620	C₄⋊C₄	—	6	1	no	—
621	C₄⋊C₄	—	6	1	no	—
622	C₄⋊C₄	C₃×D₁₂	1	1	yes	characteristic
623	C₂²⋊C₄	—	6	1	no	—
624	C₂²⋊C₄	—	6	1	no	—
625	C₂²⋊C₄	—	6	1	no	—
626	C₂²⋊C₄	—	6	1	no	—
627	C₂²⋊C₄	—	6	1	no	—
628	C₂²⋊C₄	—	6	1	no	—
629	C₂²⋊C₄	—	6	1	no	—
630	C₂²⋊C₄	—	6	1	no	—
631	C₂²⋊C₄	C₃×D₁₂	1	1	yes	characteristic
632	C₂²⋊C₄	C₃×D₁₂	1	1	yes	characteristic
633	C₄²	—	6	1	no	—
634	C₄²	—	6	1	no	—
635	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
636	C₂²×C₃	—	2	1	no	—
637	C₂²×C₃	—	2	1	no	—
638	C₂²×C₃	—	2	1	no	—
639	C₂²×C₃	—	2	1	no	—
640	C₂²×C₃	—	2	2	no	—
641	C₂²×C₃	—	2	1	no	—
642	C₂²×C₃	—	2	1	no	—
643	C₂²×C₃	—	2	1	no	—
644	C₂²×C₃	—	2	1	no	—
645	C₂²×C₃	—	2	1	no	—
646	C₂²×C₃	—	2	1	no	—
647	C₂²×C₃	—	2	2	no	—
648	C₂²×C₃	—	2	1	no	—
649	C₂²×C₃	—	4	1	no	—
650	C₂²×C₃	—	4	1	no	—
651	C₂²×C₃	—	4	1	no	—
652	C₂²×C₃	—	4	1	no	—
653	C₂²×C₃	—	12	1	no	—
654	C₂²×C₃	—	12	1	no	—
655	C₂²×C₃	—	12	1	no	—
656	C₂²×C₃	—	12	1	no	—
657	C₂²×C₃	—	12	1	no	—
658	C₂²×C₃	—	12	1	no	—
659	C₂²×C₃	#904	1	2	yes	—
660	C₂²×C₃	C₃×#135	1	2	yes	—
661	C₂²×C₃	C₂²×D₁₂	1	1	yes	characteristic
662	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
663	C₂×D₃	—	4	1	no	—
664	C₂×D₃	—	4	1	no	—
665	C₂×D₃	—	4	1	no	—
666	C₂×D₃	—	4	1	no	—
667	C₂×D₃	—	4	1	no	—
668	C₂×D₃	—	4	1	no	—
669	C₃×C₄	—	2	2	no	—
670	C₃×C₄	—	2	1	no	—
671	C₃×C₄	—	2	1	no	—
672	C₃×C₄	—	2	1	no	—
673	C₃×C₄	—	2	1	no	—
674	C₃×C₄	—	2	1	no	—
675	C₃×C₄	—	2	1	no	—
676	C₃×C₄	—	2	1	no	—
677	C₃×C₄	—	2	1	no	—
678	C₃×C₄	—	2	1	no	—
679	C₃×C₄	—	2	1	no	—
680	C₃×C₄	—	4	1	no	—
681	C₃×C₄	—	4	1	no	—
682	C₃×C₄	—	4	1	no	—
683	C₃×C₄	—	6	2	no	—
684	C₃×C₄	—	12	1	no	—
685	C₃×C₄	—	12	1	no	—
686	C₃×C₄	—	12	1	no	—
687	C₃×C₄	—	12	1	no	—
688	C₃×C₄	—	12	1	no	—
689	C₃×C₄	#1004	1	1	yes	characteristic
690	C₃×C₄	D₃×#41	1	1	yes	characteristic
691	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
692	C₃×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
693	Dic₃	—	2	2	no	—
694	Dic₃	—	4	1	no	—
695	Dic₃	—	4	1	no	—
696	Dic₃	—	4	1	no	—
697	Dic₃	—	4	1	no	—
698	Dic₃	—	4	1	no	—
699	C₃²	#3301	1	1	yes	characteristic, complemented, Sylow
700	C₂³	—	6	1	no	—
701	C₂³	—	6	1	no	—
702	C₂³	C₂×C₃×D₁₂	1	1	yes	characteristic
703	C₂³	C₂×C₃×D₁₂	1	1	yes	characteristic
704	Q₈	—	3	2	no	—
705	Q₈	—	6	1	no	—
706	Q₈	—	6	1	no	—
707	Q₈	—	6	1	no	—
708	Q₈	—	12	2	no	—
709	D₄	—	2	2	no	—
710	D₄	—	6	1	no	—
711	D₄	—	6	1	no	—
712	D₄	—	6	1	no	—
713	D₄	—	6	1	no	—
714	D₄	—	12	2	no	—
715	D₄	—	12	2	no	—
716	D₄	—	12	2	no	—
717	D₄	—	24	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	6	1	no	—
723	C₂×C₄	—	6	1	no	—
724	C₂×C₄	—	6	1	no	—
725	C₂×C₄	—	6	1	no	—
726	C₂×C₄	—	6	1	no	—
727	C₂×C₄	—	6	1	no	—
728	C₂×C₄	—	12	2	no	—
729	C₂×C₄	—	12	2	no	—
730	C₂×C₄	—	24	1	no	—
731	C₂×C₄	—	24	1	no	—
732	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
733	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
734	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
735	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
736	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
737	C₈	—	2	1	no	—
738	C₈	—	2	1	no	—
739	C₈	—	2	1	no	—
740	C₈	—	2	1	no	—
741	C₂×C₃	—	2	2	no	—
742	C₂×C₃	—	2	2	no	—
743	C₂×C₃	—	2	1	no	—
744	C₂×C₃	—	2	1	no	—
745	C₂×C₃	—	2	1	no	—
746	C₂×C₃	—	4	2	no	—
747	C₂×C₃	—	4	2	no	—
748	C₂×C₃	—	4	1	no	—
749	C₂×C₃	—	4	1	no	—
750	C₂×C₃	—	24	1	no	—
751	C₂×C₃	—	24	1	no	—
752	C₂×C₃	#5554	1	1	yes	characteristic
753	C₂×C₃	C₂×#904	1	1	yes	characteristic
754	C₂×C₃	#5751	1	1	yes	characteristic
755	C₂×C₃	C₃×#546	1	1	yes	characteristic
756	C₂×C₃	C₂×C₃×#135	1	1	yes	characteristic
757	C₂×C₃	C₃×#577	1	1	yes	characteristic
758	D₃	—	8	1	no	—
759	D₃	—	8	1	no	—
760	C₂²	—	2	1	no	—
761	C₂²	—	2	1	no	—
762	C₂²	—	2	1	no	—
763	C₂²	—	2	1	no	—
764	C₂²	—	2	1	no	—
765	C₂²	—	12	1	no	—
766	C₂²	—	12	1	no	—
767	C₂²	—	12	1	no	—
768	C₂²	—	12	1	no	—
769	C₂²	—	12	1	no	—
770	C₂²	—	12	1	no	—
771	C₂²	C₃×#904	1	2	yes	—
772	C₂²	C₂²×C₃×D₁₂	1	1	yes	characteristic
773	C₄	—	2	1	no	—
774	C₄	—	2	1	no	—
775	C₄	—	2	1	no	—
776	C₄	—	2	1	no	—
777	C₄	—	6	2	no	—
778	C₄	—	12	1	no	—
779	C₄	—	12	1	no	—
780	C₄	—	12	1	no	—
781	C₄	—	12	1	no	—
782	C₄	—	12	1	no	—
783	C₄	C₃×#1004	1	1	yes	characteristic
784	C₄	C₃×D₃×#41	1	1	yes	characteristic
785	C₃	—	2	1	no	—
786	C₃	#79450	1	1	yes	characteristic, direct product factor
787	C₃	C₃×#3301	1	1	yes	characteristic, complemented
788	C₂	—	2	2	no	—
789	C₂	—	4	1	no	—
790	C₂	—	24	1	no	—
791	C₂	—	24	1	no	—
792	C₂	C₃×#5554	1	1	yes	characteristic
793	C₂	C₂×C₃×#904	1	1	yes	characteristic
794	C₂	C₃×#5751	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂²×D₁₂
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₃
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×C₈×D₄	C₂
socle	C₂²×C₃²	C₂²×D₄
hypercenter	C₃×C₈×D₄	D₃
hypocenter	C₃	C₃×#3301
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄×D₄ ◁ C₃×C₈×D₄

Complements

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

N	H ≅ G/N	type
1. C₃×#5565	C₂	semidirect
2. C₃×#5552	C₂	semidirect
3. C₃²×C₈×D₄	C₂	semidirect
4. C₃×#5115	C₂	semidirect
5. C₃×#5114	C₂	semidirect
6. C₃×#5113	C₂	semidirect
7. C₂×C₃×#816	C₂	semidirect
8. C₃×#4844	C₂	semidirect
9. C₃×#4829	C₂	semidirect
10. C₃×#4738	C₂	semidirect
11. C₃×#4735	C₂	semidirect
12. C₃×#4734	C₂	semidirect
13. C₃×#4723	C₂	semidirect
14. C₃×#4697	C₂	semidirect
15. C₃×C₄×#204	C₂	semidirect
17. #79450	C₃	direct (N × H)
63. #5565	C₂×C₃	semidirect
64. #5552	C₂×C₃	semidirect
76. C₃×C₈×D₄	D₃	semidirect
77. C₃×C₈×D₄	C₂×C₃	semidirect
80. #5115	C₂×C₃	semidirect
81. #5114	C₂×C₃	semidirect
82. #5113	C₂×C₃	semidirect
83. C₂×#816	C₂×C₃	semidirect
84. #4844	C₂×C₃	semidirect
85. #4829	C₂×C₃	semidirect
86. #4738	C₂×C₃	semidirect
87. #4735	C₂×C₃	semidirect
88. #4734	C₂×C₃	semidirect
89. #4723	C₂×C₃	semidirect
90. #4697	C₂×C₃	semidirect
91. C₄×#204	C₂×C₃	semidirect
291. C₈×D₄	C₃×D₃	semidirect
699. C₃²	#3301	semidirect
786. C₃	#79450	direct (N × H)
787. C₃	C₃×#3301	semidirect

Maximal subgroups

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

subgroup	index
C₃×#5565	2
C₃×#5552	2
C₃²×C₈×D₄	2
C₃×#5115	2
C₃×#5114	2
C₃×#5113	2
C₂×C₃×#816	2
C₃×#4844	2
C₃×#4829	2
C₃×#4738	2
C₃×#4735	2
C₃×#4734	2
C₃×#4723	2
C₃×#4697	2
C₃×C₄×#204	2
C₃×#3301	3
#79450	3

Subgroups — C3×#79450 #11887870

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#79450 #11887870