Subgroups — C₃×#70697 #11791205

Order 1152.

637 conjugacy classes of subgroups.

The subgroup lattice has 379 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#904	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃²×#108	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#825	C₂	1	2	yes	maximal, complemented
4	C₃×#5129	C₂	1	2	yes	maximal, complemented
5	C₂×C₃×#815	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#1975	—	3	1	no	maximal
7	#70697	C₃	1	1	yes	maximal, characteristic, direct product factor
8	C₂×C₃×#235	C₂²	1	2	yes	—
9	C₂×C₃²×M₁₆	C₂²	1	2	yes	—
10	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
11	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
12	C₂²×C₃×C₃⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₃×Dic₁₂	C₄	1	1	yes	characteristic, complemented
14	C₃×#904	—	2	2	no	—
15	C₃×#904	—	2	2	no	—
16	C₂×C₃×D₂₄	C₄	1	1	yes	characteristic, complemented
17	C₂×C₃×#204	C₄	1	2	yes	complemented
18	C₃²×#108	—	2	2	no	—
19	C₃×#825	—	2	4	no	—
20	C₃×(C₂×D₃)⋊C₈	—	2	4	no	—
21	C₃×#815	—	2	2	no	—
22	C₂×C₃×#135	—	3	1	no	—
23	C₂×#904	C₂×C₃	1	1	yes	characteristic
24	C₂×C₃×#108	—	2	1	no	—
25	C₂×C₃×#108	D₃	1	1	yes	characteristic, complemented
26	C₂×C₃×#108	C₂×C₃	1	1	yes	characteristic, complemented
27	C₂×C₃×#104	—	3	2	no	—
28	C₃×#408	—	3	2	no	—
29	C₂×C₃×#97	—	3	1	no	—
30	C₂×#825	C₂×C₃	1	2	yes	complemented
31	#5129	C₂×C₃	1	2	yes	complemented
32	C₂×#815	C₂×C₃	1	1	yes	characteristic, complemented
33	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
34	C₂×C₃×#67	—	2	2	no	—
35	C₂²×C₃×Dic₃	—	2	1	no	—
36	C₃×#235	—	2	2	no	—
37	C₃×#235	—	2	2	no	—
38	C₃×#235	—	2	2	no	—
39	C₃×#235	—	2	2	no	—
40	C₂×C₃×D₁₂	C₂×C₄	1	2	yes	—
41	C₂×C₃×C₄×D₃	—	2	2	no	—
42	C₂×C₃×Dic₆	C₂×C₄	1	2	yes	—
43	C₃²×M₁₆	—	2	2	no	—
44	C₃²×M₁₆	—	2	2	no	—
45	C₂×C₃²×C₈	—	2	2	no	—
46	C₂×C₃²×C₈	C₂×C₄	1	1	yes	characteristic
47	C₂×C₃²×C₈	C₂×C₄	1	1	yes	characteristic
48	C₂×C₃²×C₈	D₄	1	2	yes	—
49	C₂×C₃²×C₈	D₄	1	2	yes	—
50	C₃×C₄×Dic₃	—	2	1	no	—
51	C₃×C₄×Dic₃	D₄	1	2	yes	—
52	C₂×C₃×C₃⋊C₈	—	2	1	no	—
53	C₂×C₃×C₃⋊C₈	—	2	1	no	—
54	C₂×C₃×C₃⋊C₈	D₄	1	2	yes	—
55	C₃×Dic₁₂	—	2	2	no	—
56	C₃×D₂₄	—	2	2	no	—
57	C₃×#204	—	2	4	no	—
58	#1975	—	3	1	no	Sylow
59	C₂×C₃×#41	—	3	2	no	—
60	C₂×#235	C₂²×C₃	1	2	yes	—
61	C₃×#135	—	6	2	no	—
62	C₃×#135	—	6	2	no	—
63	C₂×C₃×Q₁₆	—	3	1	no	—
64	C₂×C₃×SD₁₆	—	3	2	no	—
65	C₂×C₃×D₈	—	3	1	no	—
66	C₂×C₃×M₁₆	—	2	2	no	—
67	C₂×C₃×M₁₆	C₂×D₃	1	2	yes	—
68	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
69	C₂²×C₃×C₈	—	2	1	no	—
70	C₂²×C₃×C₈	—	3	1	no	—
71	C₂²×C₃×C₈	C₂×D₃	1	1	yes	characteristic
72	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
73	C₂×C₃×C₄²	—	3	1	no	—
74	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
75	C₂²×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
76	C₂×Dic₁₂	C₃×C₄	1	1	yes	characteristic, complemented
77	#904	—	2	2	no	—
78	#904	—	2	2	no	—
79	C₂×D₂₄	C₃×C₄	1	1	yes	characteristic, complemented
80	C₂×#204	C₃×C₄	1	2	yes	complemented
81	C₃×#108	—	2	4	no	—
82	C₃×#108	—	2	2	no	—
83	C₃×#108	—	2	2	no	—
84	C₃×#104	—	6	4	no	—
85	C₃×C₂²⋊C₈	—	6	4	no	—
86	C₃×#97	—	6	2	no	—
87	#825	—	2	4	no	—
88	(C₂×D₃)⋊C₈	—	2	4	no	—
89	#815	—	2	2	no	—
90	C₂³×C₃²	#41	1	1	yes	characteristic
91	C₂²×C₃×D₃	—	2	2	no	—
92	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
94	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
95	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
96	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
97	C₂×C₃²×C₄	#41	1	1	yes	characteristic
98	C₃×#67	—	4	2	no	—
99	C₃×#67	—	4	2	no	—
100	C₂×C₃×Dic₃	—	2	2	no	—
101	C₂×C₃×Dic₃	—	2	2	no	—
102	C₂×C₃×Dic₃	—	4	2	no	—
103	C₃×D₁₂	—	2	2	no	—
104	C₃×D₁₂	—	2	2	no	—
105	C₃×C₄×D₃	—	4	2	no	—
106	C₃×C₄×D₃	—	4	2	no	—
107	C₃×Dic₆	—	2	2	no	—
108	C₃×Dic₆	—	2	2	no	—
109	C₃²×C₈	—	4	2	no	—
110	C₃²×C₈	C₂²⋊C₄	1	2	yes	—
111	C₃²×C₈	C₂²⋊C₄	1	2	yes	—
112	C₃×C₃⋊C₈	—	2	2	no	—
113	C₂×#135	—	3	1	no	—
114	C₂×#108	C₃×D₃	1	1	yes	characteristic, complemented
115	C₂×#104	—	3	2	no	—
116	#408	—	3	2	no	—
117	C₂×#97	—	3	1	no	—
118	C₃×#41	—	6	2	no	—
119	C₃×#41	—	6	2	no	—
120	C₃×#41	—	6	2	no	—
121	C₃×#41	—	6	2	no	—
122	C₂×C₃×Q₈	—	3	2	no	—
123	C₂×C₃×D₄	—	3	2	no	—
124	C₂×C₃×D₄	—	6	2	no	—
125	C₂²×C₃×C₄	—	2	1	no	—
126	C₂²×C₃×C₄	—	6	1	no	—
127	C₂²×C₃×C₄	—	6	2	no	—
128	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
129	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
130	C₂×#67	—	2	2	no	—
131	C₂²×Dic₃	—	2	1	no	—
132	#235	—	2	2	no	—
133	#235	—	2	2	no	—
134	#235	—	2	2	no	—
135	#235	—	2	2	no	—
136	C₂×D₁₂	C₂×C₃×C₄	1	2	yes	—
137	C₂×C₄×D₃	—	2	2	no	—
138	C₂×Dic₆	C₂×C₃×C₄	1	2	yes	—
139	C₃×Q₁₆	—	6	2	no	—
140	C₃×SD₁₆	—	6	4	no	—
141	C₃×D₈	—	6	2	no	—
142	C₃×M₁₆	—	2	4	no	—
143	C₃×M₁₆	—	2	2	no	—
144	C₃×M₁₆	—	2	2	no	—
145	C₃×M₁₆	—	2	2	no	—
146	C₃×M₁₆	—	2	2	no	—
147	C₃×M₁₆	—	4	2	no	—
148	C₂×C₃×C₈	—	2	2	no	—
149	C₂×C₃×C₈	—	2	2	no	—
150	C₂×C₃×C₈	—	2	1	no	—
151	C₂×C₃×C₈	—	2	1	no	—
152	C₂×C₃×C₈	—	2	2	no	—
153	C₂×C₃×C₈	—	2	2	no	—
154	C₂×C₃×C₈	—	3	2	no	—
155	C₂×C₃×C₈	—	4	2	no	—
156	C₂×C₃×C₈	—	6	1	no	—
157	C₂×C₃×C₈	—	6	1	no	—
158	C₂×C₃×C₈	C₄×D₃	1	1	yes	characteristic
159	C₂×C₃×C₈	C₄×D₃	1	1	yes	characteristic
160	C₂×C₃×C₈	D₁₂	1	2	yes	—
161	C₂×C₃×C₈	#67	1	2	yes	—
162	C₂×C₃×C₈	C₂×C₃×C₄	1	1	yes	characteristic
163	C₂×C₃×C₈	C₂×C₃×C₄	1	1	yes	characteristic
164	C₂×C₃×C₈	C₃×D₄	1	2	yes	—
165	C₂×C₃×C₈	C₃×D₄	1	2	yes	—
166	C₃×C₄²	—	3	2	no	—
167	C₃×C₄²	—	6	1	no	—
168	C₄×Dic₃	—	2	1	no	—
169	C₄×Dic₃	C₃×D₄	1	2	yes	—
170	C₂×C₃⋊C₈	—	2	1	no	—
171	C₂×C₃⋊C₈	—	2	1	no	—
172	C₂×C₃⋊C₈	C₃×D₄	1	2	yes	—
173	Dic₁₂	—	2	2	no	—
174	D₂₄	—	2	2	no	—
175	#204	—	2	4	no	—
176	C₂²×C₃²	—	2	2	no	—
177	C₂²×C₃²	C₄×D₄	1	1	yes	characteristic
178	C₂²×C₃²	#121	1	1	yes	characteristic
179	C₂²×C₃²	#124	1	1	yes	characteristic
180	C₂×C₃×D₃	—	4	2	no	—
181	C₂×C₃×D₃	—	4	4	no	—
182	C₃²×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
183	C₃²×C₄	C₄×D₄	1	1	yes	characteristic
184	C₃²×C₄	#121	1	1	yes	characteristic
185	C₃²×C₄	#127	1	1	yes	characteristic
186	C₃×Dic₃	—	4	2	no	—
187	C₃×Dic₃	—	4	2	no	—
188	C₂×#41	—	3	2	no	—
189	#135	—	6	2	no	—
190	#135	—	6	2	no	—
191	C₂×Q₁₆	—	3	1	no	—
192	C₂×SD₁₆	—	3	2	no	—
193	C₂×D₈	—	3	1	no	—
194	C₂×M₁₆	C₂×C₃×D₃	1	2	yes	—
195	C₂²×C₈	—	3	1	no	—
196	C₂²×C₈	C₂×C₃×D₃	1	1	yes	characteristic
197	C₂×C₄²	—	3	1	no	—
198	#108	—	2	2	no	—
199	#104	—	6	4	no	—
200	C₂²⋊C₈	—	6	4	no	—
201	#97	—	6	2	no	—
202	C₂³×C₃	—	2	1	no	—
203	C₂³×C₃	—	6	2	no	—
204	C₂³×C₃	#239	1	1	yes	characteristic
205	C₂³×C₃	C₃×#41	1	1	yes	characteristic
206	C₂²×D₃	—	2	2	no	—
207	C₃×Q₈	—	6	2	no	—
208	C₃×Q₈	—	6	2	no	—
209	C₃×D₄	—	6	2	no	—
210	C₃×D₄	—	6	2	no	—
211	C₃×D₄	—	12	2	no	—
212	C₃×D₄	—	12	2	no	—
213	C₂×C₃×C₄	—	2	1	no	—
214	C₂×C₃×C₄	—	2	1	no	—
215	C₂×C₃×C₄	—	2	1	no	—
216	C₂×C₃×C₄	—	2	1	no	—
217	C₂×C₃×C₄	—	2	1	no	—
218	C₂×C₃×C₄	—	2	1	no	—
219	C₂×C₃×C₄	—	6	2	no	—
220	C₂×C₃×C₄	—	6	2	no	—
221	C₂×C₃×C₄	—	12	2	no	—
222	C₂×C₃×C₄	—	12	2	no	—
223	C₂×C₃×C₄	—	12	2	no	—
224	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
225	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
226	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
227	C₂×C₃×C₄	D₃×D₄	1	1	yes	characteristic
228	C₂×C₃×C₄	#239	1	1	yes	characteristic
229	C₂×C₃×C₄	C₂×#67	1	1	yes	characteristic
230	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
231	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
232	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
233	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
234	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
235	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
236	#67	—	4	2	no	—
237	#67	—	4	2	no	—
238	C₂×Dic₃	—	2	2	no	—
239	C₂×Dic₃	—	2	2	no	—
240	C₂×Dic₃	—	4	2	no	—
241	D₁₂	—	2	2	no	—
242	D₁₂	—	2	2	no	—
243	C₄×D₃	—	4	2	no	—
244	C₄×D₃	—	4	2	no	—
245	Dic₆	—	2	2	no	—
246	Dic₆	—	2	2	no	—
247	C₃×C₈	—	2	2	no	—
248	C₃×C₈	—	2	2	no	—
249	C₃×C₈	—	4	4	no	—
250	C₃×C₈	—	4	2	no	—
251	C₃×C₈	—	4	2	no	—
252	C₃×C₈	—	6	2	no	—
253	C₃×C₈	(C₂×D₃)⋊C₄	1	2	yes	—
254	C₃×C₈	(C₂×D₃)⋊C₄	1	2	yes	—
255	C₃×C₈	C₃×C₂²⋊C₄	1	2	yes	—
256	C₃×C₈	C₃×C₂²⋊C₄	1	2	yes	—
257	C₃⋊C₈	—	2	2	no	—
258	C₂×C₃²	—	2	1	no	—
259	C₂×C₃²	—	2	1	no	—
260	C₂×C₃²	#390	1	1	yes	characteristic
261	C₂×C₃²	#444	1	2	yes	—
262	C₃×D₃	—	8	2	no	—
263	#41	—	6	2	no	—
264	#41	—	6	2	no	—
265	#41	—	6	2	no	—
266	#41	—	6	2	no	—
267	C₂×Q₈	—	3	2	no	—
268	C₂×D₄	—	3	2	no	—
269	C₂×D₄	—	6	2	no	—
270	C₂²×C₄	—	6	1	no	—
271	C₂²×C₄	—	6	2	no	—
272	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
273	Q₁₆	—	6	2	no	—
274	SD₁₆	—	6	4	no	—
275	D₈	—	6	2	no	—
276	M₁₆	—	2	2	no	—
277	M₁₆	—	2	2	no	—
278	C₂×C₈	—	2	2	no	—
279	C₂×C₈	—	3	2	no	—
280	C₂×C₈	—	6	1	no	—
281	C₂×C₈	—	6	1	no	—
282	C₂×C₈	C₃×C₄×D₃	1	1	yes	characteristic
283	C₂×C₈	C₃×C₄×D₃	1	1	yes	characteristic
284	C₂×C₈	C₃×D₁₂	1	2	yes	—
285	C₂×C₈	C₃×#67	1	2	yes	—
286	C₄²	—	3	2	no	—
287	C₄²	—	6	1	no	—
288	C₂²×C₃	—	2	2	no	—
289	C₂²×C₃	—	2	2	no	—
290	C₂²×C₃	—	2	1	no	—
291	C₂²×C₃	—	2	1	no	—
292	C₂²×C₃	—	2	1	no	—
293	C₂²×C₃	—	4	2	no	—
294	C₂²×C₃	—	12	4	no	—
295	C₂²×C₃	—	12	2	no	—
296	C₂²×C₃	#893	1	1	yes	characteristic
297	C₂²×C₃	#895	1	1	yes	characteristic
298	C₂²×C₃	#947	1	1	yes	characteristic
299	C₂²×C₃	C₃×C₄×D₄	1	1	yes	characteristic
300	C₂²×C₃	C₃×#121	1	1	yes	characteristic
301	C₂²×C₃	C₃×#124	1	1	yes	characteristic
302	C₂×D₃	—	4	2	no	—
303	C₂×D₃	—	4	4	no	—
304	C₃×C₄	—	2	1	no	—
305	C₃×C₄	—	2	1	no	—
306	C₃×C₄	—	2	1	no	—
307	C₃×C₄	—	2	1	no	—
308	C₃×C₄	—	12	2	no	—
309	C₃×C₄	—	12	2	no	—
310	C₃×C₄	#893	1	1	yes	characteristic
311	C₃×C₄	#895	1	1	yes	characteristic
312	C₃×C₄	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
313	C₃×C₄	#940	1	1	yes	characteristic
314	C₃×C₄	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
315	C₃×C₄	C₃×C₄×D₄	1	1	yes	characteristic
316	C₃×C₄	C₃×#121	1	1	yes	characteristic
317	C₃×C₄	C₃×#127	1	1	yes	characteristic
318	Dic₃	—	4	2	no	—
319	Dic₃	—	4	2	no	—
320	C₃²	#1975	1	1	yes	characteristic, complemented, Sylow
321	C₂³	—	6	2	no	—
322	C₂³	C₃×#239	1	1	yes	characteristic
323	Q₈	—	6	2	no	—
324	Q₈	—	6	2	no	—
325	D₄	—	6	2	no	—
326	D₄	—	6	2	no	—
327	D₄	—	12	2	no	—
328	D₄	—	12	2	no	—
329	C₂×C₄	—	6	2	no	—
330	C₂×C₄	—	6	2	no	—
331	C₂×C₄	—	12	2	no	—
332	C₂×C₄	—	12	2	no	—
333	C₂×C₄	—	12	2	no	—
334	C₂×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
335	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
336	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
337	C₂×C₄	C₃×D₃×D₄	1	1	yes	characteristic
338	C₂×C₄	C₃×#239	1	1	yes	characteristic
339	C₂×C₄	C₂×C₃×#67	1	1	yes	characteristic
340	C₈	—	4	2	no	—
341	C₈	—	6	2	no	—
342	C₈	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
343	C₈	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
344	C₂×C₃	—	2	1	no	—
345	C₂×C₃	—	2	1	no	—
346	C₂×C₃	—	2	1	no	—
347	C₂×C₃	—	2	1	no	—
348	C₂×C₃	—	2	1	no	—
349	C₂×C₃	—	2	2	no	—
350	C₂×C₃	—	4	1	no	—
351	C₂×C₃	—	4	1	no	—
352	C₂×C₃	—	24	2	no	—
353	C₂×C₃	#4894	1	2	yes	—
354	C₂×C₃	#4988	1	1	yes	characteristic
355	C₂×C₃	C₃×#390	1	1	yes	characteristic
356	C₂×C₃	C₃×#444	1	2	yes	—
357	D₃	—	8	2	no	—
358	C₂²	—	2	2	no	—
359	C₂²	—	12	2	no	—
360	C₂²	—	12	4	no	—
361	C₂²	C₃×#893	1	1	yes	characteristic
362	C₂²	C₃×#895	1	1	yes	characteristic
363	C₂²	C₃×#947	1	1	yes	characteristic
364	C₄	—	12	2	no	—
365	C₄	—	12	2	no	—
366	C₄	C₃×#893	1	1	yes	characteristic
367	C₄	C₃×#895	1	1	yes	characteristic
368	C₄	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
369	C₄	C₃×#940	1	1	yes	characteristic
370	C₃	—	2	1	no	—
371	C₃	#70697	1	1	yes	characteristic, direct product factor
372	C₃	C₃×#1975	1	1	yes	characteristic, complemented
373	C₂	—	2	1	no	—
374	C₂	—	2	1	no	—
375	C₂	—	24	2	no	—
376	C₂	C₃×#4894	1	2	yes	—
377	C₂	C₃×#4988	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	D₃×D₄
commutator	C₂×C₃×C₄	C₂²×C₃×C₄
Frattini	C₂²×C₄	C₂²×C₃×D₃
Fitting	C₂×C₃²×#108	C₂
socle	C₂²×C₃²	C₄×D₄
prime radical	C₂×C₃×#904	C₂
cosocle	C₂²×C₃×C₄	C₂³×C₃
hypercenter	C₂×C₃×#108	D₃
hypocenter	C₃	C₃×#1975
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×#108

Complements

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

N	H ≅ G/N	type
2. C₂×C₃²×#108	C₂	semidirect
3. C₂×C₃×#825	C₂	semidirect
4. C₃×#5129	C₂	semidirect
5. C₂×C₃×#815	C₂	semidirect
7. #70697	C₃	direct (N × H)
13. C₂×C₃×Dic₁₂	C₄	semidirect
16. C₂×C₃×D₂₄	C₄	semidirect
17. C₂×C₃×#204	C₄	semidirect
25. C₂×C₃×#108	D₃	semidirect
26. C₂×C₃×#108	C₂×C₃	semidirect
30. C₂×#825	C₂×C₃	semidirect
31. #5129	C₂×C₃	semidirect
32. C₂×#815	C₂×C₃	semidirect
76. C₂×Dic₁₂	C₃×C₄	semidirect
79. C₂×D₂₄	C₃×C₄	semidirect
80. C₂×#204	C₃×C₄	semidirect
114. C₂×#108	C₃×D₃	semidirect
320. C₃²	#1975	semidirect
371. C₃	#70697	direct (N × H)
372. C₃	C₃×#1975	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#904	2
C₂×C₃²×#108	2
C₂×C₃×#825	2
C₃×#5129	2
C₂×C₃×#815	2
C₃×#1975	3
#70697	3

Subgroups — C3×#70697 #11791205

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#70697 #11791205