Subgroups — #10589597⋊C₃ #13152386

Order 1728.

810 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₂²⋊C₄×3₋¹⁺²	C₂	1	1	yes	maximal, characteristic, complemented
2	#11721704	C₂	1	1	yes	maximal, characteristic
3	C₂×#3676⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#63491⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄×#611⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
6	#63488⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
7	#63486⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
8	#63448⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
9	#63447⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
10	#63445⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
11	(#611⋊C₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
12	#63441⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#63441⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#63440⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#63439⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5495	—	3	1	no	maximal
17	#10589597	C₃	1	1	yes	maximal, characteristic, complemented
18	C₂⁴×3₋¹⁺²	C₂²	1	1	yes	characteristic
19	C₂²×C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
20	C₂²×C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
21	C₂×#611⋊C₃	C₂²	1	1	yes	characteristic
22	C₂×#611⋊C₃	C₂²	1	1	yes	characteristic
23	C₂×#611⋊C₃	C₂²	1	1	yes	characteristic
24	C₂²×3₋¹⁺²⋊C₄	C₂²	1	1	yes	characteristic
25	C₂²×3₋¹⁺²⋊C₄	C₂²	1	1	yes	characteristic
26	C₂×C₄×AGL(1,ℤ/9)	C₂²	1	1	yes	characteristic, complemented
27	C₂×3₋¹⁺²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
28	C₂²⋊C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
29	C₂²⋊C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
30	C₂²⋊C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
31	C₂²⋊C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
32	#3676⋊C₃	C₂²	1	1	yes	characteristic
33	#3676⋊C₃	C₂²	1	1	yes	characteristic
34	#3676⋊C₃	C₂²	1	1	yes	characteristic
35	#3676⋊C₃	C₂²	1	1	yes	characteristic
36	#3676⋊C₃	C₂²	1	1	yes	characteristic
37	#3676⋊C₃	C₂²	1	1	yes	characteristic
38	#3676⋊C₃	C₂²	1	1	yes	characteristic
39	(C₂×AGL(1,ℤ/9))⋊C₄	C₂²	1	1	yes	characteristic, complemented
40	(C₂×AGL(1,ℤ/9))⋊C₄	C₂²	1	1	yes	characteristic, complemented
41	(C₂×AGL(1,ℤ/9))⋊C₄	C₂²	1	1	yes	characteristic, complemented
42	C₄⋊(3₋¹⁺²⋊C₄)	C₂²	1	1	yes	characteristic, complemented
43	C₄⋊(3₋¹⁺²⋊C₄)	C₂²	1	1	yes	characteristic, complemented
44	C₄⋊(3₋¹⁺²⋊C₄)	C₂²	1	1	yes	characteristic, complemented
45	(3₋¹⁺²⋊C₄)⋊C₄	C₂²	1	1	yes	characteristic, complemented
46	(3₋¹⁺²⋊C₄)⋊C₄	C₂²	1	1	yes	characteristic, complemented
47	(3₋¹⁺²⋊C₄)⋊C₄	C₂²	1	1	yes	characteristic, complemented
48	(3₋¹⁺²⋊C₄)⋊C₄	C₂²	1	1	yes	characteristic, complemented
49	(3₋¹⁺²⋊C₄)⋊C₄	C₂²	1	1	yes	characteristic, complemented
50	C₄×3₋¹⁺²⋊C₄	C₂²	1	1	yes	characteristic, complemented
51	C₄×3₋¹⁺²⋊C₄	C₂²	1	1	yes	characteristic, complemented
52	C₄×3₋¹⁺²⋊C₄	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₃²×C₂²⋊C₄	D₃	1	1	yes	characteristic
54	C₃×#953	—	3	1	no	—
55	C₂×C₃×#217	—	3	1	no	—
56	C₃×#929	—	3	1	no	—
57	C₃×C₄×#67	—	3	1	no	—
58	C₃×#926	—	3	1	no	—
59	C₃×#924	—	3	1	no	—
60	C₃×#886	—	3	1	no	—
61	C₃×#885	—	3	1	no	—
62	C₃×#883	—	3	1	no	—
63	C₃×#67⋊C₄	—	3	1	no	—
64	C₃×#879	—	3	1	no	—
65	C₃×#879	—	3	1	no	—
66	C₃×#878	—	3	1	no	—
67	C₃×#877	—	3	1	no	—
68	C₂×C₉×C₂²⋊C₄	—	2	1	no	—
69	C₂×C₉×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
70	#63515	C₂×C₃	1	1	yes	characteristic
71	C₂×#3676	C₂×C₃	1	1	yes	characteristic, complemented
72	#63491	C₂×C₃	1	1	yes	characteristic, complemented
73	C₄×#611	C₂×C₃	1	1	yes	characteristic, complemented
74	#63488	C₂×C₃	1	1	yes	characteristic, complemented
75	#63486	C₂×C₃	1	1	yes	characteristic, complemented
76	#63448	C₂×C₃	1	1	yes	characteristic, complemented
77	#63447	C₂×C₃	1	1	yes	characteristic, complemented
78	#63445	C₂×C₃	1	1	yes	characteristic, complemented
79	#611⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
80	#63441	C₂×C₃	1	1	yes	characteristic, complemented
81	#63441	C₂×C₃	1	1	yes	characteristic, complemented
82	#63440	C₂×C₃	1	1	yes	characteristic, complemented
83	#63439	C₂×C₃	1	1	yes	characteristic, complemented
84	C₂³×3₋¹⁺²	—	2	2	no	—
85	C₂³×3₋¹⁺²	—	2	2	no	—
86	C₂³×3₋¹⁺²	—	4	1	no	—
87	C₂³×3₋¹⁺²	C₂³	1	1	yes	characteristic
88	C₂³×3₋¹⁺²	C₂³	1	1	yes	characteristic
89	C₂³×3₋¹⁺²	C₂³	1	1	yes	characteristic
90	C₂²×AGL(1,ℤ/9)	C₂³	1	1	yes	characteristic
91	C₂×C₄×3₋¹⁺²	—	2	2	no	—
92	C₂×C₄×3₋¹⁺²	—	4	1	no	—
93	C₂×C₄×3₋¹⁺²	C₂³	1	1	yes	characteristic
94	C₂×C₄×3₋¹⁺²	C₂³	1	1	yes	characteristic
95	C₂×C₄×3₋¹⁺²	C₂³	1	1	yes	characteristic
96	C₂×C₄×3₋¹⁺²	C₂³	1	1	yes	characteristic
97	#611⋊C₃	—	2	2	no	—
98	#611⋊C₃	—	2	2	no	—
99	#611⋊C₃	—	4	1	no	—
100	C₂×3₋¹⁺²⋊C₄	—	2	2	no	—
101	C₂×3₋¹⁺²⋊C₄	—	4	1	no	—
102	C₂×3₋¹⁺²⋊C₄	C₂³	1	1	yes	characteristic
103	C₂×3₋¹⁺²⋊C₄	C₂³	1	1	yes	characteristic
104	C₂×3₋¹⁺²⋊C₄	C₂³	1	1	yes	characteristic
105	C₂×3₋¹⁺²⋊C₄	C₂³	1	1	yes	characteristic
106	C₂×3₋¹⁺²⋊C₄	C₂³	1	1	yes	characteristic
107	C₂×3₋¹⁺²⋊C₄	C₂³	1	1	yes	characteristic
108	C₂×3₋¹⁺²⋊C₄	C₂³	1	1	yes	characteristic
109	C₄×AGL(1,ℤ/9)	—	4	1	no	—
110	3₋¹⁺²⋊Q₈	—	4	1	no	—
111	C₃×#551	—	9	1	no	—
112	#5495	—	3	1	no	—
113	C₂⁴×C₃²	C₂×D₃	1	1	yes	characteristic
114	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
115	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
116	C₂×C₃×#67	—	3	1	no	—
117	C₂×C₃×#67	—	3	1	no	—
118	C₂×C₃×#67	—	3	1	no	—
119	C₂²×C₃×Dic₃	—	3	1	no	—
120	C₂²×C₃×Dic₃	—	3	1	no	—
121	C₂×C₃×C₄×D₃	—	3	1	no	—
122	C₂×C₃×Dic₆	—	3	1	no	—
123	C₂⁴×C₉	—	2	1	no	—
124	C₂⁴×C₉	C₂²×C₃	1	1	yes	characteristic
125	C₃²×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
126	C₃²×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
127	C₃²×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
128	C₃²×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
129	C₃×#217	—	3	1	no	—
130	C₃×#217	—	3	1	no	—
131	C₃×#217	—	3	1	no	—
132	C₃×#217	—	3	1	no	—
133	C₃×#217	—	3	1	no	—
134	C₃×#217	—	3	1	no	—
135	C₃×#217	—	3	1	no	—
136	C₃×(C₂×D₃)⋊C₄	—	3	1	no	—
137	C₃×(C₂×D₃)⋊C₄	—	3	1	no	—
138	C₃×(C₂×D₃)⋊C₄	—	3	1	no	—
139	C₃×C₄⋊Dic₃	—	3	1	no	—
140	C₃×C₄⋊Dic₃	—	3	1	no	—
141	C₃×C₄⋊Dic₃	—	3	1	no	—
142	C₃×Dic₃⋊C₄	—	3	1	no	—
143	C₃×Dic₃⋊C₄	—	3	1	no	—
144	C₃×Dic₃⋊C₄	—	3	1	no	—
145	C₃×Dic₃⋊C₄	—	3	1	no	—
146	C₃×Dic₃⋊C₄	—	3	1	no	—
147	C₃×C₄×Dic₃	—	3	1	no	—
148	C₃×C₄×Dic₃	—	3	1	no	—
149	C₃×C₄×Dic₃	—	3	1	no	—
150	C₂²×C₄×C₉	—	2	1	no	—
151	C₂²×C₄×C₉	—	2	1	no	—
152	C₂²×C₄×C₉	C₂²×C₃	1	1	yes	characteristic
153	C₂²×C₄×C₉	C₂²×C₃	1	1	yes	characteristic
154	C₂×#611	C₂²×C₃	1	1	yes	characteristic
155	C₂×#611	C₂²×C₃	1	1	yes	characteristic
156	C₂×#611	C₂²×C₃	1	1	yes	characteristic
157	C₂²×Dic₉	C₂²×C₃	1	1	yes	characteristic
158	C₂²×Dic₉	C₂²×C₃	1	1	yes	characteristic
159	C₂×C₄×D₉	C₂²×C₃	1	1	yes	characteristic, complemented
160	C₂×Dic₁₈	C₂²×C₃	1	1	yes	characteristic, complemented
161	C₉×C₂²⋊C₄	—	2	1	no	—
162	C₉×C₂²⋊C₄	—	2	1	no	—
163	C₉×C₂²⋊C₄	—	2	1	no	—
164	C₉×C₂²⋊C₄	—	2	1	no	—
165	C₉×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
166	C₉×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
167	C₉×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
168	C₉×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
169	#3676	C₂²×C₃	1	1	yes	characteristic
170	#3676	C₂²×C₃	1	1	yes	characteristic
171	#3676	C₂²×C₃	1	1	yes	characteristic
172	#3676	C₂²×C₃	1	1	yes	characteristic
173	#3676	C₂²×C₃	1	1	yes	characteristic
174	#3676	C₂²×C₃	1	1	yes	characteristic
175	#3676	C₂²×C₃	1	1	yes	characteristic
176	(C₂×D₉)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
177	(C₂×D₉)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
178	(C₂×D₉)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
179	C₄⋊Dic₉	C₂²×C₃	1	1	yes	characteristic, complemented
180	C₄⋊Dic₉	C₂²×C₃	1	1	yes	characteristic, complemented
181	C₄⋊Dic₉	C₂²×C₃	1	1	yes	characteristic, complemented
182	Dic₉⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
183	Dic₉⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
184	Dic₉⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
185	Dic₉⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
186	Dic₉⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
187	C₄×Dic₉	C₂²×C₃	1	1	yes	characteristic, complemented
188	C₄×Dic₉	C₂²×C₃	1	1	yes	characteristic, complemented
189	C₄×Dic₉	C₂²×C₃	1	1	yes	characteristic, complemented
190	C₂²×3₋¹⁺²	—	2	1	no	—
191	C₂²×3₋¹⁺²	—	2	1	no	—
192	C₂²×3₋¹⁺²	—	2	1	no	—
193	C₂²×3₋¹⁺²	—	2	1	no	—
194	C₂²×3₋¹⁺²	—	2	1	no	—
195	C₂²×3₋¹⁺²	—	2	1	no	—
196	C₂²×3₋¹⁺²	—	2	1	no	—
197	C₂²×3₋¹⁺²	—	4	4	no	—
198	C₂²×3₋¹⁺²	#41	1	2	yes	—
199	C₂²×3₋¹⁺²	#41	1	2	yes	—
200	C₂²×3₋¹⁺²	C₂⁴	1	1	yes	characteristic
201	C₂×AGL(1,ℤ/9)	—	2	1	no	—
202	C₂×AGL(1,ℤ/9)	—	2	1	no	—
203	C₂×AGL(1,ℤ/9)	—	2	1	no	—
204	C₄×3₋¹⁺²	—	2	1	no	—
205	C₄×3₋¹⁺²	—	2	1	no	—
206	C₄×3₋¹⁺²	—	2	1	no	—
207	C₄×3₋¹⁺²	—	2	1	no	—
208	3₋¹⁺²⋊C₄	—	2	1	no	—
209	3₋¹⁺²⋊C₄	—	2	1	no	—
210	3₋¹⁺²⋊C₄	—	2	1	no	—
211	3₋¹⁺²⋊C₄	—	2	1	no	—
212	3₋¹⁺²⋊C₄	—	2	1	no	—
213	3₋¹⁺²⋊C₄	—	2	1	no	—
214	3₋¹⁺²⋊C₄	—	2	1	no	—
215	C₃×#126	—	9	1	no	—
216	C₃×#126	—	9	1	no	—
217	C₃×#124	—	9	1	no	—
218	C₃×#123	—	9	1	no	—
219	C₃×#123	—	9	1	no	—
220	C₃×#123	—	9	1	no	—
221	C₃×C₂²⋊Q₈	—	9	1	no	—
222	C₃×C₂²⋊Q₈	—	9	1	no	—
223	C₃×#120	—	9	1	no	—
224	C₃×C₄×D₄	—	9	1	no	—
225	C₃×C₄×D₄	—	9	1	no	—
226	C₃×#117	—	9	1	no	—
227	C₃×#117	—	9	1	no	—
228	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
229	C₂×C₃×C₂²⋊C₄	—	9	1	no	—
230	C₂×C₃×C₂²⋊C₄	C₃×D₃	1	1	yes	characteristic
231	#953	—	3	1	no	—
232	C₂×#217	—	3	1	no	—
233	#929	—	3	1	no	—
234	C₄×#67	—	3	1	no	—
235	#926	—	3	1	no	—
236	#924	—	3	1	no	—
237	#886	—	3	1	no	—
238	#885	—	3	1	no	—
239	#883	—	3	1	no	—
240	#67⋊C₄	—	3	1	no	—
241	#879	—	3	1	no	—
242	#879	—	3	1	no	—
243	#878	—	3	1	no	—
244	#877	—	3	1	no	—
245	C₂³×C₃²	—	2	2	no	—
246	C₂³×C₃²	—	2	2	no	—
247	C₂³×C₃²	—	4	1	no	—
248	C₂³×C₃²	C₂²×D₃	1	1	yes	characteristic
249	C₂³×C₃²	C₂²×D₃	1	1	yes	characteristic
250	C₂³×C₃²	C₂²×D₃	1	1	yes	characteristic
251	C₂²×C₃×D₃	—	3	1	no	—
252	C₂×C₃²×C₄	—	2	2	no	—
253	C₂×C₃²×C₄	—	4	1	no	—
254	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
255	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
256	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
257	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
258	C₃×#67	—	6	2	no	—
259	C₃×#67	—	6	2	no	—
260	C₃×#67	—	12	1	no	—
261	C₂×C₃×Dic₃	—	3	1	no	—
262	C₂×C₃×Dic₃	—	3	1	no	—
263	C₂×C₃×Dic₃	—	3	1	no	—
264	C₂×C₃×Dic₃	—	3	1	no	—
265	C₂×C₃×Dic₃	—	3	1	no	—
266	C₂×C₃×Dic₃	—	3	1	no	—
267	C₂×C₃×Dic₃	—	3	1	no	—
268	C₂×C₃×Dic₃	—	6	2	no	—
269	C₂×C₃×Dic₃	—	12	1	no	—
270	C₃×C₄×D₃	—	12	1	no	—
271	C₃×Dic₆	—	12	1	no	—
272	C₂³×C₉	—	2	4	no	—
273	C₂³×C₉	—	2	2	no	—
274	C₂³×C₉	—	2	2	no	—
275	C₂³×C₉	—	2	1	no	—
276	C₂³×C₉	—	2	1	no	—
277	C₂³×C₉	—	2	1	no	—
278	C₂³×C₉	—	4	2	no	—
279	C₂³×C₉	—	4	1	no	—
280	C₂³×C₉	—	4	2	no	—
281	C₂³×C₉	C₂³×C₃	1	1	yes	characteristic
282	C₂³×C₉	C₂³×C₃	1	1	yes	characteristic
283	C₂³×C₉	C₂³×C₃	1	1	yes	characteristic
284	C₂²×D₉	C₂³×C₃	1	1	yes	characteristic
285	C₂×C₄×C₉	—	2	2	no	—
286	C₂×C₄×C₉	—	2	1	no	—
287	C₂×C₄×C₉	—	2	1	no	—
288	C₂×C₄×C₉	—	2	1	no	—
289	C₂×C₄×C₉	—	2	1	no	—
290	C₂×C₄×C₉	—	4	2	no	—
291	C₂×C₄×C₉	—	4	1	no	—
292	C₂×C₄×C₉	—	4	2	no	—
293	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
294	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
295	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
296	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
297	#611	—	2	2	no	—
298	#611	—	2	2	no	—
299	#611	—	4	1	no	—
300	C₂×Dic₉	—	2	2	no	—
301	C₂×Dic₉	—	4	1	no	—
302	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
303	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
304	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
305	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
306	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
307	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
308	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
309	C₄×D₉	—	4	1	no	—
310	Dic₁₈	—	4	1	no	—
311	#551	—	9	1	no	Sylow
312	C₂×3₋¹⁺²	—	2	2	no	—
313	C₂×3₋¹⁺²	—	2	2	no	—
314	C₂×3₋¹⁺²	—	4	1	no	—
315	C₂×3₋¹⁺²	C₂×#41	1	1	yes	characteristic
316	C₂×3₋¹⁺²	C₂×#41	1	1	yes	characteristic
317	C₂×3₋¹⁺²	H(5,𝔽₂)	1	1	yes	characteristic
318	AGL(1,ℤ/9)	—	4	1	no	—
319	C₂⁴×C₃	—	3	1	no	—
320	C₂⁴×C₃	C₂×C₃×D₃	1	1	yes	characteristic
321	C₂×C₃×Q₈	—	9	1	no	—
322	C₂×C₃×D₄	—	9	1	no	—
323	C₂×C₃×D₄	—	9	1	no	—
324	C₂×C₃×D₄	—	9	1	no	—
325	C₂²×C₃×C₄	—	3	1	no	—
326	C₂²×C₃×C₄	—	3	1	no	—
327	C₂²×C₃×C₄	—	9	1	no	—
328	C₂²×C₃×C₄	—	9	1	no	—
329	C₂²×C₃×C₄	—	9	1	no	—
330	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
331	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
332	C₂×#67	—	3	1	no	—
333	C₂×#67	—	3	1	no	—
334	C₂×#67	—	3	1	no	—
335	C₂²×Dic₃	—	3	1	no	—
336	C₂²×Dic₃	—	3	1	no	—
337	C₂×C₄×D₃	—	3	1	no	—
338	C₂×Dic₆	—	3	1	no	—
339	C₃×C₄⋊C₄	—	9	1	no	—
340	C₃×C₄⋊C₄	—	9	1	no	—
341	C₃×C₄⋊C₄	—	9	1	no	—
342	C₃×C₄⋊C₄	—	9	1	no	—
343	C₃×C₄⋊C₄	—	9	1	no	—
344	C₃×C₄⋊C₄	—	9	1	no	—
345	C₃×C₄⋊C₄	—	9	1	no	—
346	C₃×C₄⋊C₄	—	9	1	no	—
347	C₃×C₂²⋊C₄	—	3	1	no	—
348	C₃×C₂²⋊C₄	—	3	1	no	—
349	C₃×C₂²⋊C₄	—	3	1	no	—
350	C₃×C₂²⋊C₄	—	3	1	no	—
351	C₃×C₂²⋊C₄	—	9	1	no	—
352	C₃×C₂²⋊C₄	—	9	1	no	—
353	C₃×C₂²⋊C₄	—	9	1	no	—
354	C₃×C₂²⋊C₄	—	9	1	no	—
355	C₃×C₂²⋊C₄	—	9	1	no	—
356	C₃×C₂²⋊C₄	—	9	1	no	—
357	C₃×C₂²⋊C₄	—	9	1	no	—
358	C₃×C₂²⋊C₄	—	9	1	no	—
359	C₃×C₂²⋊C₄	—	9	1	no	—
360	C₃×C₂²⋊C₄	—	9	1	no	—
361	C₃×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
362	C₃×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
363	C₃×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
364	C₃×C₂²⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic
365	C₃×C₄²	—	9	1	no	—
366	C₃×C₄²	—	9	1	no	—
367	C₃×C₄²	—	9	1	no	—
368	#217	—	3	1	no	—
369	#217	—	3	1	no	—
370	#217	—	3	1	no	—
371	#217	—	3	1	no	—
372	#217	—	3	1	no	—
373	#217	—	3	1	no	—
374	#217	—	3	1	no	—
375	(C₂×D₃)⋊C₄	—	3	1	no	—
376	(C₂×D₃)⋊C₄	—	3	1	no	—
377	(C₂×D₃)⋊C₄	—	3	1	no	—
378	C₄⋊Dic₃	—	3	1	no	—
379	C₄⋊Dic₃	—	3	1	no	—
380	C₄⋊Dic₃	—	3	1	no	—
381	Dic₃⋊C₄	—	3	1	no	—
382	Dic₃⋊C₄	—	3	1	no	—
383	Dic₃⋊C₄	—	3	1	no	—
384	Dic₃⋊C₄	—	3	1	no	—
385	Dic₃⋊C₄	—	3	1	no	—
386	C₄×Dic₃	—	3	1	no	—
387	C₄×Dic₃	—	3	1	no	—
388	C₄×Dic₃	—	3	1	no	—
389	C₂²×C₃²	—	2	1	no	—
390	C₂²×C₃²	—	2	1	no	—
391	C₂²×C₃²	—	2	1	no	—
392	C₂²×C₃²	—	2	1	no	—
393	C₂²×C₃²	—	2	1	no	—
394	C₂²×C₃²	—	2	1	no	—
395	C₂²×C₃²	—	2	1	no	—
396	C₂²×C₃²	—	4	4	no	—
397	C₂²×C₃²	#235	1	2	yes	—
398	C₂²×C₃²	#237	1	2	yes	—
399	C₂²×C₃²	C₂³×D₃	1	1	yes	characteristic
400	C₂×C₃×D₃	—	6	1	no	—
401	C₂×C₃×D₃	—	6	1	no	—
402	C₂×C₃×D₃	—	6	1	no	—
403	C₃²×C₄	—	2	1	no	—
404	C₃²×C₄	—	2	1	no	—
405	C₃²×C₄	—	2	1	no	—
406	C₃²×C₄	—	2	1	no	—
407	C₃×Dic₃	—	6	1	no	—
408	C₃×Dic₃	—	6	1	no	—
409	C₃×Dic₃	—	6	1	no	—
410	C₃×Dic₃	—	6	1	no	—
411	C₃×Dic₃	—	6	1	no	—
412	C₃×Dic₃	—	6	1	no	—
413	C₃×Dic₃	—	6	1	no	—
414	C₂²×C₉	—	2	2	no	—
415	C₂²×C₉	—	2	2	no	—
416	C₂²×C₉	—	2	1	no	—
417	C₂²×C₉	—	2	1	no	—
418	C₂²×C₉	—	2	1	no	—
419	C₂²×C₉	—	2	1	no	—
420	C₂²×C₉	—	2	2	no	—
421	C₂²×C₉	—	2	1	no	—
422	C₂²×C₉	—	2	1	no	—
423	C₂²×C₉	—	2	1	no	—
424	C₂²×C₉	—	2	1	no	—
425	C₂²×C₉	—	2	2	no	—
426	C₂²×C₉	—	2	2	no	—
427	C₂²×C₉	—	4	1	no	—
428	C₂²×C₉	—	4	1	no	—
429	C₂²×C₉	—	4	1	no	—
430	C₂²×C₉	—	4	1	no	—
431	C₂²×C₉	—	4	4	no	—
432	C₂²×C₉	—	4	8	no	—
433	C₂²×C₉	C₃×#41	1	2	yes	—
434	C₂²×C₉	C₃×#41	1	2	yes	—
435	C₂²×C₉	C₂⁴×C₃	1	1	yes	characteristic
436	C₂×D₉	—	2	1	no	—
437	C₂×D₉	—	2	1	no	—
438	C₂×D₉	—	2	1	no	—
439	C₄×C₉	—	2	1	no	—
440	C₄×C₉	—	2	1	no	—
441	C₄×C₉	—	2	1	no	—
442	C₄×C₉	—	2	1	no	—
443	C₄×C₉	—	4	1	no	—
444	C₄×C₉	—	4	1	no	—
445	C₄×C₉	—	4	1	no	—
446	C₄×C₉	—	4	1	no	—
447	Dic₉	—	2	1	no	—
448	Dic₉	—	2	1	no	—
449	Dic₉	—	2	1	no	—
450	Dic₉	—	2	1	no	—
451	Dic₉	—	2	1	no	—
452	Dic₉	—	2	1	no	—
453	Dic₉	—	2	1	no	—
454	#126	—	9	1	no	—
455	#126	—	9	1	no	—
456	#124	—	9	1	no	—
457	#123	—	9	1	no	—
458	#123	—	9	1	no	—
459	#123	—	9	1	no	—
460	C₂²⋊Q₈	—	9	1	no	—
461	C₂²⋊Q₈	—	9	1	no	—
462	#120	—	9	1	no	—
463	C₄×D₄	—	9	1	no	—
464	C₄×D₄	—	9	1	no	—
465	#117	—	9	1	no	—
466	#117	—	9	1	no	—
467	C₂×C₂²⋊C₄	—	9	1	no	—
468	C₂×C₂²⋊C₄	AGL(1,ℤ/9)	1	1	yes	characteristic, complemented
469	3₋¹⁺²	#551	1	1	yes	characteristic, complemented, Sylow
470	C₂³×C₃	—	2	2	no	—
471	C₂³×C₃	—	2	2	no	—
472	C₂³×C₃	—	3	1	no	—
473	C₂³×C₃	—	3	1	no	—
474	C₂³×C₃	—	3	1	no	—
475	C₂³×C₃	—	4	1	no	—
476	C₂³×C₃	—	6	2	no	—
477	C₂³×C₃	—	6	2	no	—
478	C₂³×C₃	—	9	1	no	—
479	C₂³×C₃	—	12	1	no	—
480	C₂³×C₃	C₂²×C₃×D₃	1	1	yes	characteristic
481	C₂³×C₃	C₂²×C₃×D₃	1	1	yes	characteristic
482	C₂³×C₃	C₂²×C₃×D₃	1	1	yes	characteristic
483	C₂²×D₃	—	3	1	no	—
484	C₃×Q₈	—	36	1	no	—
485	C₃×D₄	—	18	2	no	—
486	C₃×D₄	—	18	2	no	—
487	C₃×D₄	—	36	1	no	—
488	C₂×C₃×C₄	—	2	2	no	—
489	C₂×C₃×C₄	—	3	1	no	—
490	C₂×C₃×C₄	—	3	1	no	—
491	C₂×C₃×C₄	—	3	1	no	—
492	C₂×C₃×C₄	—	3	1	no	—
493	C₂×C₃×C₄	—	4	1	no	—
494	C₂×C₃×C₄	—	6	2	no	—
495	C₂×C₃×C₄	—	9	1	no	—
496	C₂×C₃×C₄	—	9	1	no	—
497	C₂×C₃×C₄	—	9	1	no	—
498	C₂×C₃×C₄	—	9	1	no	—
499	C₂×C₃×C₄	—	9	1	no	—
500	C₂×C₃×C₄	—	9	1	no	—
501	C₂×C₃×C₄	—	9	1	no	—
502	C₂×C₃×C₄	—	12	1	no	—
503	C₂×C₃×C₄	—	18	2	no	—
504	C₂×C₃×C₄	—	36	1	no	—
505	C₂×C₃×C₄	—	36	1	no	—
506	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
507	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
508	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
509	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
510	#67	—	6	2	no	—
511	#67	—	6	2	no	—
512	#67	—	12	1	no	—
513	C₂×Dic₃	—	3	1	no	—
514	C₂×Dic₃	—	3	1	no	—
515	C₂×Dic₃	—	3	1	no	—
516	C₂×Dic₃	—	3	1	no	—
517	C₂×Dic₃	—	3	1	no	—
518	C₂×Dic₃	—	3	1	no	—
519	C₂×Dic₃	—	3	1	no	—
520	C₂×Dic₃	—	6	2	no	—
521	C₂×Dic₃	—	12	1	no	—
522	C₄×D₃	—	12	1	no	—
523	Dic₆	—	12	1	no	—
524	C₂×C₃²	—	2	2	no	—
525	C₂×C₃²	—	2	2	no	—
526	C₂×C₃²	—	4	1	no	—
527	C₂×C₃²	C₂×#235	1	1	yes	characteristic
528	C₂×C₃²	C₂×#237	1	1	yes	characteristic
529	C₂×C₃²	#1004	1	1	yes	characteristic
530	C₃×D₃	—	12	1	no	—
531	C₂×C₉	—	2	4	no	—
532	C₂×C₉	—	2	2	no	—
533	C₂×C₉	—	2	2	no	—
534	C₂×C₉	—	2	1	no	—
535	C₂×C₉	—	2	1	no	—
536	C₂×C₉	—	2	1	no	—
537	C₂×C₉	—	4	2	no	—
538	C₂×C₉	—	4	2	no	—
539	C₂×C₉	—	4	1	no	—
540	C₂×C₉	C₂×C₃×#41	1	1	yes	characteristic
541	C₂×C₉	C₂×C₃×#41	1	1	yes	characteristic
542	C₂×C₉	C₃×H(5,𝔽₂)	1	1	yes	characteristic
543	D₉	—	4	1	no	—
544	C₂⁴	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
545	C₂×Q₈	—	9	1	no	—
546	C₂×D₄	—	9	1	no	—
547	C₂×D₄	—	9	1	no	—
548	C₂×D₄	—	9	1	no	—
549	C₂²×C₄	—	9	1	no	—
550	C₂²×C₄	—	9	1	no	—
551	C₂²×C₄	—	9	1	no	—
552	C₂²×C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
553	C₂²×C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
554	C₄⋊C₄	—	9	1	no	—
555	C₄⋊C₄	—	9	1	no	—
556	C₄⋊C₄	—	9	1	no	—
557	C₄⋊C₄	—	9	1	no	—
558	C₄⋊C₄	—	9	1	no	—
559	C₄⋊C₄	—	9	1	no	—
560	C₄⋊C₄	—	9	1	no	—
561	C₄⋊C₄	—	9	1	no	—
562	C₂²⋊C₄	—	9	1	no	—
563	C₂²⋊C₄	—	9	1	no	—
564	C₂²⋊C₄	—	9	1	no	—
565	C₂²⋊C₄	—	9	1	no	—
566	C₂²⋊C₄	—	9	1	no	—
567	C₂²⋊C₄	—	9	1	no	—
568	C₂²⋊C₄	—	9	1	no	—
569	C₂²⋊C₄	—	9	1	no	—
570	C₂²⋊C₄	—	9	1	no	—
571	C₂²⋊C₄	—	9	1	no	—
572	C₂²⋊C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
573	C₂²⋊C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
574	C₂²⋊C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
575	C₂²⋊C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
576	C₄²	—	9	1	no	—
577	C₄²	—	9	1	no	—
578	C₄²	—	9	1	no	—
579	C₂²×C₃	—	2	1	no	—
580	C₂²×C₃	—	2	1	no	—
581	C₂²×C₃	—	2	1	no	—
582	C₂²×C₃	—	2	1	no	—
583	C₂²×C₃	—	2	1	no	—
584	C₂²×C₃	—	2	1	no	—
585	C₂²×C₃	—	2	1	no	—
586	C₂²×C₃	—	3	1	no	—
587	C₂²×C₃	—	3	2	no	—
588	C₂²×C₃	—	3	2	no	—
589	C₂²×C₃	—	4	4	no	—
590	C₂²×C₃	—	6	1	no	—
591	C₂²×C₃	—	6	1	no	—
592	C₂²×C₃	—	6	1	no	—
593	C₂²×C₃	—	6	1	no	—
594	C₂²×C₃	—	6	1	no	—
595	C₂²×C₃	—	6	1	no	—
596	C₂²×C₃	—	6	1	no	—
597	C₂²×C₃	—	12	4	no	—
598	C₂²×C₃	—	18	1	no	—
599	C₂²×C₃	—	18	1	no	—
600	C₂²×C₃	—	18	1	no	—
601	C₂²×C₃	C₃×#235	1	2	yes	—
602	C₂²×C₃	C₃×#237	1	2	yes	—
603	C₂²×C₃	C₂³×C₃×D₃	1	1	yes	characteristic
604	C₂×D₃	—	6	1	no	—
605	C₂×D₃	—	6	1	no	—
606	C₂×D₃	—	6	1	no	—
607	C₃×C₄	—	2	1	no	—
608	C₃×C₄	—	2	1	no	—
609	C₃×C₄	—	2	1	no	—
610	C₃×C₄	—	2	1	no	—
611	C₃×C₄	—	6	1	no	—
612	C₃×C₄	—	6	1	no	—
613	C₃×C₄	—	6	1	no	—
614	C₃×C₄	—	6	1	no	—
615	C₃×C₄	—	18	1	no	—
616	C₃×C₄	—	18	1	no	—
617	C₃×C₄	—	18	1	no	—
618	C₃×C₄	—	18	1	no	—
619	C₃×C₄	—	18	1	no	—
620	C₃×C₄	—	18	1	no	—
621	C₃×C₄	—	18	1	no	—
622	Dic₃	—	6	1	no	—
623	Dic₃	—	6	1	no	—
624	Dic₃	—	6	1	no	—
625	Dic₃	—	6	1	no	—
626	Dic₃	—	6	1	no	—
627	Dic₃	—	6	1	no	—
628	Dic₃	—	6	1	no	—
629	C₃²	#5495	1	1	yes	characteristic
630	C₉	—	2	1	no	—
631	C₉	C₃×#551	1	1	yes	characteristic, complemented
632	C₂³	—	2	2	no	—
633	C₂³	—	2	2	no	—
634	C₂³	—	4	1	no	—
635	C₂³	—	9	1	no	—
636	C₂³	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
637	C₂³	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
638	C₂³	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
639	Q₈	—	36	1	no	—
640	D₄	—	18	2	no	—
641	D₄	—	18	2	no	—
642	D₄	—	36	1	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	4	1	no	—
645	C₂×C₄	—	9	1	no	—
646	C₂×C₄	—	9	1	no	—
647	C₂×C₄	—	9	1	no	—
648	C₂×C₄	—	9	1	no	—
649	C₂×C₄	—	9	1	no	—
650	C₂×C₄	—	9	1	no	—
651	C₂×C₄	—	9	1	no	—
652	C₂×C₄	—	18	2	no	—
653	C₂×C₄	—	36	1	no	—
654	C₂×C₄	—	36	1	no	—
655	C₂×C₄	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
656	C₂×C₄	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
657	C₂×C₄	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
658	C₂×C₄	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
659	C₂×C₃	—	2	2	no	—
660	C₂×C₃	—	2	2	no	—
661	C₂×C₃	—	3	1	no	—
662	C₂×C₃	—	3	1	no	—
663	C₂×C₃	—	3	1	no	—
664	C₂×C₃	—	4	1	no	—
665	C₂×C₃	—	6	2	no	—
666	C₂×C₃	—	6	2	no	—
667	C₂×C₃	—	12	1	no	—
668	C₂×C₃	—	36	1	no	—
669	C₂×C₃	C₂×C₃×#235	1	1	yes	characteristic
670	C₂×C₃	C₂×C₃×#237	1	1	yes	characteristic
671	C₂×C₃	C₃×#1004	1	1	yes	characteristic
672	D₃	—	12	1	no	—
673	C₂²	—	2	1	no	—
674	C₂²	—	2	1	no	—
675	C₂²	—	2	1	no	—
676	C₂²	—	2	1	no	—
677	C₂²	—	2	1	no	—
678	C₂²	—	2	1	no	—
679	C₂²	—	2	1	no	—
680	C₂²	—	4	4	no	—
681	C₂²	—	18	1	no	—
682	C₂²	—	18	1	no	—
683	C₂²	—	18	1	no	—
684	C₂²	#3697⋊C₃	1	2	yes	—
685	C₂²	#3699⋊C₃	1	2	yes	—
686	C₂²	C₂³×AGL(1,ℤ/9)	1	1	yes	characteristic
687	C₄	—	2	1	no	—
688	C₄	—	2	1	no	—
689	C₄	—	2	1	no	—
690	C₄	—	2	1	no	—
691	C₄	—	18	1	no	—
692	C₄	—	18	1	no	—
693	C₄	—	18	1	no	—
694	C₄	—	18	1	no	—
695	C₄	—	18	1	no	—
696	C₄	—	18	1	no	—
697	C₄	—	18	1	no	—
698	C₃	—	3	1	no	—
699	C₃	C₃×#5495	1	1	yes	characteristic
700	C₂	—	2	2	no	—
701	C₂	—	2	2	no	—
702	C₂	—	4	1	no	—
703	C₂	—	36	1	no	—
704	C₂	C₂×#3697⋊C₃	1	1	yes	characteristic
705	C₂	C₂×#3699⋊C₃	1	1	yes	characteristic
706	C₂	#63710⋊C₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×AGL(1,ℤ/9)
commutator, cosocle	C₂²×C₉	C₂⁴×C₃
Frattini, socle	C₂²×C₃	C₂³×C₃×D₃
Fitting	C₂×C₂²⋊C₄×3₋¹⁺²	C₂
prime radical	#11721704	C₂
hypercenter	C₂×C₂²⋊C₄	AGL(1,ℤ/9)
hypocenter	C₉	C₃×#551
LCS	G ▷ C₂²×C₉ ▷ C₉
UCS	C₁ ◁ C₂² ◁ C₂×C₂²⋊C₄

Complements

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

N	H ≅ G/N	type
1. C₂×C₂²⋊C₄×3₋¹⁺²	C₂	semidirect
3. C₂×#3676⋊C₃	C₂	semidirect
4. #63491⋊C₃	C₂	semidirect
5. C₄×#611⋊C₃	C₂	semidirect
6. #63488⋊C₃	C₂	semidirect
7. #63486⋊C₃	C₂	semidirect
8. #63448⋊C₃	C₂	semidirect
9. #63447⋊C₃	C₂	semidirect
10. #63445⋊C₃	C₂	semidirect
11. (#611⋊C₃)⋊C₄	C₂	semidirect
12. #63441⋊C₃	C₂	semidirect
13. #63441⋊C₃	C₂	semidirect
14. #63440⋊C₃	C₂	semidirect
15. #63439⋊C₃	C₂	semidirect
17. #10589597	C₃	semidirect
26. C₂×C₄×AGL(1,ℤ/9)	C₂²	semidirect
27. C₂×3₋¹⁺²⋊Q₈	C₂²	semidirect
39. (C₂×AGL(1,ℤ/9))⋊C₄	C₂²	semidirect
40. (C₂×AGL(1,ℤ/9))⋊C₄	C₂²	semidirect
41. (C₂×AGL(1,ℤ/9))⋊C₄	C₂²	semidirect
42. C₄⋊(3₋¹⁺²⋊C₄)	C₂²	semidirect
43. C₄⋊(3₋¹⁺²⋊C₄)	C₂²	semidirect
44. C₄⋊(3₋¹⁺²⋊C₄)	C₂²	semidirect
45. (3₋¹⁺²⋊C₄)⋊C₄	C₂²	semidirect
46. (3₋¹⁺²⋊C₄)⋊C₄	C₂²	semidirect
47. (3₋¹⁺²⋊C₄)⋊C₄	C₂²	semidirect
48. (3₋¹⁺²⋊C₄)⋊C₄	C₂²	semidirect
49. (3₋¹⁺²⋊C₄)⋊C₄	C₂²	semidirect
50. C₄×3₋¹⁺²⋊C₄	C₂²	semidirect
51. C₄×3₋¹⁺²⋊C₄	C₂²	semidirect
52. C₄×3₋¹⁺²⋊C₄	C₂²	semidirect
69. C₂×C₉×C₂²⋊C₄	C₂×C₃	semidirect
71. C₂×#3676	C₂×C₃	semidirect
72. #63491	C₂×C₃	semidirect
73. C₄×#611	C₂×C₃	semidirect
74. #63488	C₂×C₃	semidirect
75. #63486	C₂×C₃	semidirect
76. #63448	C₂×C₃	semidirect
77. #63447	C₂×C₃	semidirect
78. #63445	C₂×C₃	semidirect
79. #611⋊C₄	C₂×C₃	semidirect
80. #63441	C₂×C₃	semidirect
81. #63441	C₂×C₃	semidirect
82. #63440	C₂×C₃	semidirect
83. #63439	C₂×C₃	semidirect
159. C₂×C₄×D₉	C₂²×C₃	semidirect
160. C₂×Dic₁₈	C₂²×C₃	semidirect
176. (C₂×D₉)⋊C₄	C₂²×C₃	semidirect
177. (C₂×D₉)⋊C₄	C₂²×C₃	semidirect
178. (C₂×D₉)⋊C₄	C₂²×C₃	semidirect
179. C₄⋊Dic₉	C₂²×C₃	semidirect
180. C₄⋊Dic₉	C₂²×C₃	semidirect
181. C₄⋊Dic₉	C₂²×C₃	semidirect
182. Dic₉⋊C₄	C₂²×C₃	semidirect
183. Dic₉⋊C₄	C₂²×C₃	semidirect
184. Dic₉⋊C₄	C₂²×C₃	semidirect
185. Dic₉⋊C₄	C₂²×C₃	semidirect
186. Dic₉⋊C₄	C₂²×C₃	semidirect
187. C₄×Dic₉	C₂²×C₃	semidirect
188. C₄×Dic₉	C₂²×C₃	semidirect
189. C₄×Dic₉	C₂²×C₃	semidirect
468. C₂×C₂²⋊C₄	AGL(1,ℤ/9)	semidirect
469. 3₋¹⁺²	#551	semidirect
631. C₉	C₃×#551	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₂²⋊C₄×3₋¹⁺²	2
#11721704	2
C₂×#3676⋊C₃	2
#63491⋊C₃	2
C₄×#611⋊C₃	2
#63488⋊C₃	2
#63486⋊C₃	2
#63448⋊C₃	2
#63447⋊C₃	2
#63445⋊C₃	2
(#611⋊C₃)⋊C₄	2
#63441⋊C₃	2
#63440⋊C₃	2
#63439⋊C₃	2
C₃×#5495	3
#10589597	3

Subgroups — #10589597⋊C3 #13152386

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #10589597⋊C₃ #13152386