Subgroups — C₂×C₃×C₉⋊#95 #13143512

Order 1728.

1226 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₃×C₄×C₉	C₂	1	1	yes	maximal, characteristic
2	C₂³×C₃×Dic₉	C₂	1	2	yes	maximal
3	C₃×C₉⋊#95	C₂	1	4	yes	maximal, direct product factor
4	C₂×C₃×C₃⋊#95	—	3	1	no	maximal
5	C₂×C₉⋊#95	C₃	1	1	yes	maximal, characteristic, direct product factor
6	C₂⁴×C₃×C₉	C₂²	1	1	yes	characteristic
7	C₂²×C₃×C₄×C₉	—	2	4	no	—
8	C₂²×C₃×C₄×C₉	C₄	1	4	yes	complemented
9	C₂²×C₃×C₄×C₉	C₂²	1	2	yes	—
10	C₂²×C₃×Dic₉	—	2	4	no	—
11	C₂²×C₃×Dic₉	—	2	4	no	—
12	C₂²×C₃×Dic₉	C₄	1	8	yes	complemented
13	C₂²×C₃×Dic₉	C₂²	1	4	yes	—
14	C₂³×C₃²×C₄	D₃	1	1	yes	characteristic
15	C₂³×C₃×Dic₃	—	3	2	no	—
16	C₂³×C₄×C₉	—	2	1	no	—
17	C₂³×C₄×C₉	C₂×C₃	1	1	yes	characteristic
18	C₂³×Dic₉	C₂×C₃	1	2	yes	—
19	C₃×C₃⋊#95	—	3	4	no	—
20	C₉⋊#95	C₂×C₃	1	4	yes	direct product factor
21	C₂³×C₃×C₉	C₂×C₄	1	4	yes	—
22	C₂³×C₃×C₉	C₂×C₄	1	2	yes	—
23	C₂³×C₃×C₉	D₄	1	2	yes	—
24	C₂³×C₃×C₉	D₄	1	4	yes	—
25	C₂³×C₃×C₉	Q₈	1	2	yes	—
26	C₂³×C₃×C₉	C₂³	1	1	yes	characteristic
27	C₂×C₃×C₄×C₉	—	2	8	no	—
28	C₂×C₃×C₄×C₉	—	2	4	no	—
29	C₂×C₃×C₄×C₉	C₂×C₄	1	4	yes	complemented
30	C₂×C₃×Dic₉	—	2	16	no	—
31	C₂×C₃×Dic₉	—	2	4	no	—
32	C₂×C₃×Dic₉	—	2	4	no	—
33	C₂×C₃×Dic₉	C₂×C₄	1	8	yes	complemented
34	C₂×C₃×#95	—	9	1	no	—
35	C₂×C₃⋊#95	—	3	1	no	—
36	C₂⁴×C₃²	C₂×D₃	1	1	yes	characteristic
37	C₂²×C₃²×C₄	—	2	4	no	—
38	C₂²×C₃²×C₄	Dic₃	1	4	yes	—
39	C₂²×C₃²×C₄	C₂×D₃	1	2	yes	—
40	C₂²×C₃×Dic₃	—	3	8	no	—
41	C₂²×C₃×Dic₃	—	3	4	no	—
42	C₂²×C₃×Dic₃	—	6	4	no	—
43	C₂²×C₃×Dic₃	—	6	4	no	—
44	C₂⁴×C₉	—	2	1	no	—
45	C₂⁴×C₉	C₂²×C₃	1	1	yes	characteristic
46	C₂²×C₄×C₉	—	2	8	no	—
47	C₂²×C₄×C₉	—	2	4	no	—
48	C₂²×C₄×C₉	—	2	2	no	—
49	C₂²×C₄×C₉	—	2	4	no	—
50	C₂²×C₄×C₉	C₃×C₄	1	4	yes	complemented
51	C₂²×C₄×C₉	C₂²×C₃	1	2	yes	—
52	C₂²×Dic₉	—	2	4	no	—
53	C₂²×Dic₉	—	2	4	no	—
54	C₂²×Dic₉	C₃×C₄	1	8	yes	complemented
55	C₂²×Dic₉	C₂²×C₃	1	4	yes	—
56	C₂²×C₃×C₉	C₄²	1	4	yes	—
57	C₂²×C₃×C₉	C₂²⋊C₄	1	8	yes	—
58	C₂²×C₃×C₉	C₂²⋊C₄	1	4	yes	—
59	C₂²×C₃×C₉	C₄⋊C₄	1	8	yes	—
60	C₂²×C₃×C₉	C₄⋊C₄	1	4	yes	—
61	C₂²×C₃×C₉	C₂²×C₄	1	2	yes	—
62	C₂²×C₃×C₉	C₂²×C₄	1	1	yes	characteristic
63	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
64	C₂²×C₃×C₉	C₂×D₄	1	2	yes	—
65	C₂²×C₃×C₉	C₂×Q₈	1	1	yes	characteristic
66	C₃×C₄×C₉	—	2	4	no	—
67	C₃×Dic₉	—	2	8	no	—
68	C₂³×C₃×C₄	—	2	1	no	—
69	C₂³×C₃×C₄	—	9	2	no	—
70	C₂³×C₃×C₄	D₉	1	1	yes	characteristic
71	C₂³×C₃×C₄	C₃×D₃	1	1	yes	characteristic
72	C₂³×Dic₃	—	3	2	no	—
73	C₃×#95	—	9	4	no	—
74	C₃⋊#95	—	3	4	no	—
75	C₂³×C₃²	Dic₆	1	2	yes	—
76	C₂³×C₃²	C₄×D₃	1	4	yes	—
77	C₂³×C₃²	D₁₂	1	2	yes	—
78	C₂³×C₃²	C₂×Dic₃	1	2	yes	—
79	C₂³×C₃²	#67	1	4	yes	—
80	C₂³×C₃²	C₂²×D₃	1	1	yes	characteristic
81	C₂×C₃²×C₄	—	2	8	no	—
82	C₂×C₃²×C₄	—	2	4	no	—
83	C₂×C₃²×C₄	C₂×Dic₃	1	4	yes	—
84	C₂×C₃×Dic₃	—	3	8	no	—
85	C₂×C₃×Dic₃	—	6	16	no	—
86	C₂×C₃×Dic₃	—	6	4	no	—
87	C₂×C₃×Dic₃	—	6	4	no	—
88	C₂³×C₉	—	2	2	no	—
89	C₂³×C₉	—	2	4	no	—
90	C₂³×C₉	—	2	2	no	—
91	C₂³×C₉	—	2	2	no	—
92	C₂³×C₉	—	2	4	no	—
93	C₂³×C₉	—	2	1	no	—
94	C₂³×C₉	C₂×C₃×C₄	1	4	yes	—
95	C₂³×C₉	C₂×C₃×C₄	1	2	yes	—
96	C₂³×C₉	C₃×D₄	1	2	yes	—
97	C₂³×C₉	C₃×D₄	1	4	yes	—
98	C₂³×C₉	C₃×Q₈	1	2	yes	—
99	C₂³×C₉	C₂³×C₃	1	1	yes	characteristic
100	C₂×C₄×C₉	—	2	16	no	—
101	C₂×C₄×C₉	—	2	8	no	—
102	C₂×C₄×C₉	—	2	8	no	—
103	C₂×C₄×C₉	—	2	4	no	—
104	C₂×C₄×C₉	—	2	4	no	—
105	C₂×C₄×C₉	C₂×C₃×C₄	1	4	yes	complemented
106	C₂×Dic₉	—	2	16	no	—
107	C₂×Dic₉	—	2	4	no	—
108	C₂×Dic₉	—	2	4	no	—
109	C₂×Dic₉	C₂×C₃×C₄	1	8	yes	complemented
110	C₂×#95	—	9	1	no	Sylow
111	C₂×C₃×C₉	#95	1	8	yes	complemented
112	C₂×C₃×C₉	C₂×C₄²	1	1	yes	characteristic
113	C₂×C₃×C₉	C₂×C₂²⋊C₄	1	2	yes	—
114	C₂×C₃×C₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
115	C₂×C₃×C₉	C₂×C₄⋊C₄	1	2	yes	—
116	C₂×C₃×C₉	C₂×C₄⋊C₄	1	1	yes	characteristic
117	C₂⁴×C₃	—	2	1	no	—
118	C₂⁴×C₃	C₂×D₉	1	1	yes	characteristic
119	C₂⁴×C₃	C₂×C₃×D₃	1	1	yes	characteristic
120	C₂²×C₃×C₄	—	2	8	no	—
121	C₂²×C₃×C₄	—	2	4	no	—
122	C₂²×C₃×C₄	—	2	4	no	—
123	C₂²×C₃×C₄	—	2	4	no	—
124	C₂²×C₃×C₄	—	2	2	no	—
125	C₂²×C₃×C₄	—	9	8	no	—
126	C₂²×C₃×C₄	—	9	4	no	—
127	C₂²×C₃×C₄	—	18	4	no	—
128	C₂²×C₃×C₄	—	18	4	no	—
129	C₂²×C₃×C₄	Dic₉	1	4	yes	complemented
130	C₂²×C₃×C₄	C₂×D₉	1	2	yes	—
131	C₂²×C₃×C₄	C₃×Dic₃	1	4	yes	—
132	C₂²×C₃×C₄	C₂×C₃×D₃	1	2	yes	—
133	C₂²×Dic₃	—	3	8	no	—
134	C₂²×Dic₃	—	3	4	no	—
135	C₂²×Dic₃	—	6	4	no	—
136	C₂²×Dic₃	—	6	4	no	—
137	C₂²×C₃²	C₄×Dic₃	1	4	yes	—
138	C₂²×C₃²	Dic₃⋊C₄	1	8	yes	—
139	C₂²×C₃²	C₄⋊Dic₃	1	4	yes	—
140	C₂²×C₃²	(C₂×D₃)⋊C₄	1	8	yes	—
141	C₂²×C₃²	#217	1	4	yes	—
142	C₂²×C₃²	C₂×Dic₆	1	1	yes	characteristic
143	C₂²×C₃²	C₂×C₄×D₃	1	2	yes	—
144	C₂²×C₃²	C₂×D₁₂	1	1	yes	characteristic
145	C₂²×C₃²	C₂²×Dic₃	1	1	yes	characteristic
146	C₂²×C₃²	C₂×#67	1	2	yes	—
147	C₃²×C₄	—	2	4	no	—
148	C₃×Dic₃	—	6	8	no	—
149	C₂²×C₉	—	2	4	no	—
150	C₂²×C₉	—	2	8	no	—
151	C₂²×C₉	—	2	4	no	—
152	C₂²×C₉	—	2	8	no	—
153	C₂²×C₉	—	2	4	no	—
154	C₂²×C₉	—	2	1	no	—
155	C₂²×C₉	—	2	2	no	—
156	C₂²×C₉	—	2	1	no	—
157	C₂²×C₉	—	2	1	no	—
158	C₂²×C₉	—	2	2	no	—
159	C₂²×C₉	C₃×C₄²	1	4	yes	—
160	C₂²×C₉	C₃×C₂²⋊C₄	1	8	yes	—
161	C₂²×C₉	C₃×C₂²⋊C₄	1	4	yes	—
162	C₂²×C₉	C₃×C₄⋊C₄	1	8	yes	—
163	C₂²×C₉	C₃×C₄⋊C₄	1	4	yes	—
164	C₂²×C₉	C₂²×C₃×C₄	1	2	yes	—
165	C₂²×C₉	C₂²×C₃×C₄	1	1	yes	characteristic
166	C₂²×C₉	C₂×C₃×D₄	1	1	yes	characteristic
167	C₂²×C₉	C₂×C₃×D₄	1	2	yes	—
168	C₂²×C₉	C₂×C₃×Q₈	1	1	yes	characteristic
169	C₄×C₉	—	2	8	no	—
170	C₄×C₉	—	2	4	no	—
171	Dic₉	—	2	8	no	—
172	C₂³×C₄	—	9	2	no	—
173	C₂³×C₄	C₃×D₉	1	1	yes	characteristic
174	#95	—	9	4	no	—
175	C₃×C₉	C₂×#95	1	1	yes	characteristic, complemented, Sylow
176	C₂³×C₃	—	2	2	no	—
177	C₂³×C₃	—	2	4	no	—
178	C₂³×C₃	—	2	2	no	—
179	C₂³×C₃	—	2	2	no	—
180	C₂³×C₃	—	2	4	no	—
181	C₂³×C₃	—	2	1	no	—
182	C₂³×C₃	Dic₁₈	1	2	yes	—
183	C₂³×C₃	C₄×D₉	1	4	yes	—
184	C₂³×C₃	D₃₆	1	2	yes	—
185	C₂³×C₃	C₂×Dic₉	1	2	yes	—
186	C₂³×C₃	#611	1	4	yes	—
187	C₂³×C₃	C₂²×D₉	1	1	yes	characteristic
188	C₂³×C₃	C₃×Dic₆	1	2	yes	—
189	C₂³×C₃	C₃×C₄×D₃	1	4	yes	—
190	C₂³×C₃	C₃×D₁₂	1	2	yes	—
191	C₂³×C₃	C₂×C₃×Dic₃	1	2	yes	—
192	C₂³×C₃	C₃×#67	1	4	yes	—
193	C₂³×C₃	C₂²×C₃×D₃	1	1	yes	characteristic
194	C₂×C₃×C₄	—	2	8	no	—
195	C₂×C₃×C₄	—	2	16	no	—
196	C₂×C₃×C₄	—	2	8	no	—
197	C₂×C₃×C₄	—	2	4	no	—
198	C₂×C₃×C₄	—	2	8	no	—
199	C₂×C₃×C₄	—	2	4	no	—
200	C₂×C₃×C₄	—	2	4	no	—
201	C₂×C₃×C₄	—	9	8	no	—
202	C₂×C₃×C₄	—	18	16	no	—
203	C₂×C₃×C₄	—	18	4	no	—
204	C₂×C₃×C₄	—	18	4	no	—
205	C₂×C₃×C₄	C₂×Dic₉	1	4	yes	complemented
206	C₂×C₃×C₄	C₂×C₃×Dic₃	1	4	yes	—
207	C₂×Dic₃	—	3	8	no	—
208	C₂×Dic₃	—	6	16	no	—
209	C₂×Dic₃	—	6	4	no	—
210	C₂×Dic₃	—	6	4	no	—
211	C₂×C₃²	C₃⋊#95	1	8	yes	—
212	C₂×C₃²	C₂×C₄×Dic₃	1	1	yes	characteristic
213	C₂×C₃²	C₂×Dic₃⋊C₄	1	2	yes	—
214	C₂×C₃²	C₂×C₄⋊Dic₃	1	1	yes	characteristic
215	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	2	yes	—
216	C₂×C₃²	C₂×#217	1	1	yes	characteristic
217	C₂×C₉	—	2	1	no	—
218	C₂×C₉	—	2	2	no	—
219	C₂×C₉	—	2	1	no	—
220	C₂×C₉	—	2	2	no	—
221	C₂×C₉	—	2	1	no	—
222	C₂×C₉	—	2	8	no	—
223	C₂×C₉	C₃×#95	1	8	yes	complemented
224	C₂×C₉	C₂×C₃×C₄²	1	1	yes	characteristic
225	C₂×C₉	C₂×C₃×C₂²⋊C₄	1	2	yes	—
226	C₂×C₉	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
227	C₂×C₉	C₂×C₃×C₄⋊C₄	1	2	yes	—
228	C₂×C₉	C₂×C₃×C₄⋊C₄	1	1	yes	characteristic
229	C₂⁴	C₂×C₃×D₉	1	1	yes	characteristic
230	C₂²×C₄	—	2	4	no	—
231	C₂²×C₄	—	9	8	no	—
232	C₂²×C₄	—	9	4	no	—
233	C₂²×C₄	—	18	4	no	—
234	C₂²×C₄	—	18	4	no	—
235	C₂²×C₄	C₃×Dic₉	1	4	yes	complemented
236	C₂²×C₄	C₂×C₃×D₉	1	2	yes	—
237	C₂²×C₃	—	2	1	no	—
238	C₂²×C₃	—	2	2	no	—
239	C₂²×C₃	—	2	1	no	—
240	C₂²×C₃	—	2	1	no	—
241	C₂²×C₃	—	2	2	no	—
242	C₂²×C₃	—	2	4	no	—
243	C₂²×C₃	—	2	8	no	—
244	C₂²×C₃	—	2	4	no	—
245	C₂²×C₃	—	2	8	no	—
246	C₂²×C₃	—	2	4	no	—
247	C₂²×C₃	C₄×Dic₉	1	4	yes	—
248	C₂²×C₃	Dic₉⋊C₄	1	8	yes	—
249	C₂²×C₃	C₄⋊Dic₉	1	4	yes	—
250	C₂²×C₃	(C₂×D₉)⋊C₄	1	8	yes	—
251	C₂²×C₃	#3676	1	4	yes	—
252	C₂²×C₃	C₂×Dic₁₈	1	1	yes	characteristic
253	C₂²×C₃	C₂×C₄×D₉	1	2	yes	—
254	C₂²×C₃	C₂×D₃₆	1	1	yes	characteristic
255	C₂²×C₃	C₂²×Dic₉	1	1	yes	characteristic
256	C₂²×C₃	C₂×#611	1	2	yes	—
257	C₂²×C₃	C₃×C₄×Dic₃	1	4	yes	—
258	C₂²×C₃	C₃×Dic₃⋊C₄	1	8	yes	—
259	C₂²×C₃	C₃×C₄⋊Dic₃	1	4	yes	—
260	C₂²×C₃	C₃×(C₂×D₃)⋊C₄	1	8	yes	—
261	C₂²×C₃	C₃×#217	1	4	yes	—
262	C₂²×C₃	C₂×C₃×Dic₆	1	1	yes	characteristic
263	C₂²×C₃	C₂×C₃×C₄×D₃	1	2	yes	—
264	C₂²×C₃	C₂×C₃×D₁₂	1	1	yes	characteristic
265	C₂²×C₃	C₂²×C₃×Dic₃	1	1	yes	characteristic
266	C₂²×C₃	C₂×C₃×#67	1	2	yes	—
267	C₃×C₄	—	2	8	no	—
268	C₃×C₄	—	2	4	no	—
269	C₃×C₄	—	2	4	no	—
270	C₃×C₄	—	18	8	no	—
271	Dic₃	—	6	8	no	—
272	C₃²	C₂×C₃⋊#95	1	1	yes	characteristic
273	C₉	—	2	1	no	—
274	C₉	C₂×C₃×#95	1	1	yes	characteristic, complemented
275	C₂³	C₃×Dic₁₈	1	2	yes	—
276	C₂³	C₃×C₄×D₉	1	4	yes	—
277	C₂³	C₃×D₃₆	1	2	yes	—
278	C₂³	C₂×C₃×Dic₉	1	2	yes	—
279	C₂³	C₃×#611	1	4	yes	—
280	C₂³	C₂²×C₃×D₉	1	1	yes	characteristic
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	2	8	no	—
283	C₂×C₄	—	9	8	no	—
284	C₂×C₄	—	18	4	no	—
285	C₂×C₄	—	18	4	no	—
286	C₂×C₄	—	18	16	no	—
287	C₂×C₄	C₂×C₃×Dic₉	1	4	yes	complemented
288	C₂×C₃	—	2	8	no	—
289	C₂×C₃	—	2	1	no	—
290	C₂×C₃	—	2	2	no	—
291	C₂×C₃	—	2	1	no	—
292	C₂×C₃	—	2	2	no	—
293	C₂×C₃	—	2	1	no	—
294	C₂×C₃	C₉⋊#95	1	8	yes	direct product factor
295	C₂×C₃	C₂×C₄×Dic₉	1	1	yes	characteristic
296	C₂×C₃	C₂×Dic₉⋊C₄	1	2	yes	—
297	C₂×C₃	C₂×C₄⋊Dic₉	1	1	yes	characteristic
298	C₂×C₃	C₂×(C₂×D₉)⋊C₄	1	2	yes	—
299	C₂×C₃	C₂×#3676	1	1	yes	characteristic
300	C₂×C₃	C₃×C₃⋊#95	1	8	yes	—
301	C₂×C₃	C₂×C₃×C₄×Dic₃	1	1	yes	characteristic
302	C₂×C₃	C₂×C₃×Dic₃⋊C₄	1	2	yes	—
303	C₂×C₃	C₂×C₃×C₄⋊Dic₃	1	1	yes	characteristic
304	C₂×C₃	C₂×C₃×(C₂×D₃)⋊C₄	1	2	yes	—
305	C₂×C₃	C₂×C₃×#217	1	1	yes	characteristic
306	C₂²	C₃×C₄×Dic₉	1	4	yes	—
307	C₂²	C₃×Dic₉⋊C₄	1	8	yes	—
308	C₂²	C₃×C₄⋊Dic₉	1	4	yes	—
309	C₂²	C₃×(C₂×D₉)⋊C₄	1	8	yes	—
310	C₂²	C₃×#3676	1	4	yes	—
311	C₂²	C₂×C₃×Dic₁₈	1	1	yes	characteristic
312	C₂²	C₂×C₃×C₄×D₉	1	2	yes	—
313	C₂²	C₂×C₃×D₃₆	1	1	yes	characteristic
314	C₂²	C₂²×C₃×Dic₉	1	1	yes	characteristic
315	C₂²	C₂×C₃×#611	1	2	yes	—
316	C₄	—	2	4	no	—
317	C₄	—	18	8	no	—
318	C₃	—	2	1	no	—
319	C₃	C₂×C₉⋊#95	1	1	yes	characteristic, direct product factor
320	C₃	C₂×C₃×C₃⋊#95	1	1	yes	characteristic
321	C₂	C₃×C₉⋊#95	1	8	yes	direct product factor
322	C₂	C₂×C₃×C₄×Dic₉	1	1	yes	characteristic
323	C₂	C₂×C₃×Dic₉⋊C₄	1	2	yes	—
324	C₂	C₂×C₃×C₄⋊Dic₉	1	1	yes	characteristic
325	C₂	C₂×C₃×(C₂×D₉)⋊C₄	1	2	yes	—
326	C₂	C₂×C₃×#3676	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴×C₃	C₂×D₉
commutator	C₂×C₉	C₂×C₃×C₄²
Frattini	C₂³×C₃	C₂²×C₃×D₃
Fitting	C₂³×C₃×C₄×C₉	C₂
socle, prime radical	C₂⁴×C₃²	C₂×D₃
cosocle	C₂³×C₉	C₂³×C₃
hypercenter	C₂³×C₃×C₄	D₉
hypocenter	C₉	C₂×C₃×#95
LCS	G ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂⁴×C₃ ◁ C₂³×C₃×C₄

Complements

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

N	H ≅ G/N	type
3. C₃×C₉⋊#95	C₂	direct (N × H)
5. C₂×C₉⋊#95	C₃	direct (N × H)
8. C₂²×C₃×C₄×C₉	C₄	semidirect
12. C₂²×C₃×Dic₉	C₄	semidirect
20. C₉⋊#95	C₂×C₃	direct (N × H)
29. C₂×C₃×C₄×C₉	C₂×C₄	semidirect
33. C₂×C₃×Dic₉	C₂×C₄	semidirect
50. C₂²×C₄×C₉	C₃×C₄	semidirect
54. C₂²×Dic₉	C₃×C₄	semidirect
105. C₂×C₄×C₉	C₂×C₃×C₄	semidirect
109. C₂×Dic₉	C₂×C₃×C₄	semidirect
111. C₂×C₃×C₉	#95	semidirect
129. C₂²×C₃×C₄	Dic₉	semidirect
175. C₃×C₉	C₂×#95	semidirect
205. C₂×C₃×C₄	C₂×Dic₉	semidirect
223. C₂×C₉	C₃×#95	semidirect
235. C₂²×C₄	C₃×Dic₉	semidirect
274. C₉	C₂×C₃×#95	semidirect
287. C₂×C₄	C₂×C₃×Dic₉	semidirect
294. C₂×C₃	C₉⋊#95	direct (N × H)
319. C₃	C₂×C₉⋊#95	direct (N × H)
321. C₂	C₃×C₉⋊#95	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₃×C₄×C₉	2
C₂³×C₃×Dic₉	2
C₃×C₉⋊#95	2
C₂×C₃×C₃⋊#95	3
C₂×C₉⋊#95	3

Subgroups — C2×C3×C9⋊#95 #13143512

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×C₉⋊#95 #13143512