Subgroups — #44534994

Order 31347.

740 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	C₃×3₋¹⁺²×C₄₃⋊C₃	C₃	1	1	yes	maximal, characteristic
2	#23782841	C₃	1	3	yes	maximal, complemented
3	#23782841	C₃	1	3	yes	maximal, complemented
4	#23782841	C₃	1	3	yes	maximal, complemented
5	#23782828	C₃	1	3	yes	maximal, complemented
6	#23782826	C₃	1	3	yes	maximal, complemented
7	#23782826	C₃	1	3	yes	maximal, complemented
8	#23782817	C₃	1	1	yes	maximal, characteristic, complemented
9	#23782817	C₃	1	1	yes	maximal, characteristic, complemented
10	#23782816	C₃	1	1	yes	maximal, characteristic, complemented
11	#23782814	C₃	1	3	yes	maximal, complemented
12	#23782814	C₃	1	3	yes	maximal, complemented
13	#23782812	C₃	1	1	yes	maximal, characteristic, complemented
14	#23782812	C₃	1	1	yes	maximal, characteristic, complemented
15	#23782797	C₃	1	1	yes	maximal, characteristic
16	#23782797	C₃	1	1	yes	maximal, characteristic
17	#23782792	C₃	1	1	yes	maximal, characteristic, complemented
18	#23782792	C₃	1	1	yes	maximal, characteristic, complemented
19	C₉×#11923958	C₃	1	1	yes	maximal, characteristic, complemented
20	#11923957⋊C₉	C₃	1	3	yes	maximal, complemented
21	C₃×(C₃×C₄₃⋊C₃)⋊C₉	C₃	1	1	yes	maximal, characteristic
22	C₄₃×#6894	C₃	1	1	yes	maximal, characteristic, complemented
23	C₃³×C₄₃⋊C₃	C₃²	1	1	yes	characteristic
24	C₃×#11923958	C₃²	1	1	yes	characteristic
25	C₃×#11923958	C₃²	1	1	yes	characteristic
26	C₃×#11923957	C₃²	1	3	yes	—
27	C₃×#11923957	C₃²	1	3	yes	—
28	C₃×#11923957	C₃²	1	3	yes	—
29	C₃×#11923956	C₃²	1	3	yes	—
30	3₋¹⁺²×C₄₃⋊C₃	—	3	9	no	—
31	C₃²×C₄₃⋊C₉	C₃²	1	1	yes	characteristic
32	C₃²×C₄₃⋊C₉	C₃²	1	1	yes	characteristic
33	C₃×C₉×C₄₃⋊C₃	C₃²	1	3	yes	—
34	#16812500	C₃²	1	3	yes	complemented
35	#16812500	C₃²	1	3	yes	complemented
36	#16812500	C₃²	1	3	yes	complemented
37	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
38	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
39	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
40	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
41	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
42	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
43	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
44	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
45	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
46	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
47	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
48	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
49	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
50	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
51	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
52	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
53	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
54	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
55	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
56	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
57	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
58	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
59	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
60	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
61	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
62	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
63	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
64	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
65	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
66	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
67	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
68	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
69	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
70	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
71	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
72	C₉×C₄₃⋊C₉	C₃²	1	3	yes	complemented
73	C₉×C₄₃⋊C₉	C₃²	1	3	yes	complemented
74	C₉×C₄₃⋊C₉	C₃²	1	3	yes	complemented
75	C₃×3₋¹⁺²×C₄₃	C₃²	1	1	yes	characteristic
76	C₃²×C₉×C₄₃	C₃²	1	1	yes	characteristic
77	C₄₃×C₉⋊C₉	C₃²	1	3	yes	complemented
78	C₄₃×C₉⋊C₉	C₃²	1	3	yes	complemented
79	C₄₃×C₉⋊C₉	C₃²	1	3	yes	complemented
80	C₄₃×C₃²⋊C₉	C₃²	1	1	yes	characteristic
81	C₄₃×C₃²⋊C₉	C₃²	1	1	yes	characteristic
82	C₃²×C₄₃⋊C₃	—	3	3	no	—
83	C₃²×C₄₃⋊C₃	—	3	3	no	—
84	C₃²×C₄₃⋊C₃	—	9	1	no	—
85	C₃²×C₄₃⋊C₃	—	9	1	no	—
86	C₃²×C₄₃⋊C₃	C₃³	1	1	yes	characteristic
87	C₃²×C₄₃⋊C₃	C₃³	1	1	yes	characteristic
88	C₃²×C₄₃⋊C₃	C₃³	1	1	yes	characteristic
89	#11923958	—	3	3	no	—
90	#11923958	3₋¹⁺²	1	9	yes	complemented
91	#11923957	—	3	9	no	—
92	#11923957	—	3	9	no	—
93	#11923957	—	9	3	no	—
94	#11923956	—	3	9	no	—
95	C₃×C₄₃⋊C₉	—	9	1	no	—
96	C₃×C₄₃⋊C₉	—	9	1	no	—
97	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
98	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
99	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
100	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
101	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
102	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
103	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
104	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
105	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
106	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
107	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
108	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
109	C₉×C₄₃⋊C₃	—	3	9	no	—
110	C₃³×C₄₃	C₃³	1	1	yes	characteristic
111	3₋¹⁺²×C₄₃	—	3	3	no	—
112	C₃×C₉×C₄₃	—	9	1	no	—
113	C₃×C₉×C₄₃	C₃³	1	3	yes	—
114	C₃×C₉×C₄₃	C₃³	1	3	yes	—
115	C₃×C₉×C₄₃	C₃³	1	1	yes	characteristic
116	C₃×C₉×C₄₃	C₃³	1	1	yes	characteristic
117	C₃×C₉×C₄₃	C₃³	1	1	yes	characteristic
118	C₃×C₉×C₄₃	C₃³	1	3	yes	—
119	#10624899	—	43	1	no	maximal, Sylow
120	C₃²×C₄₃	—	3	1	no	—
121	C₃²×C₄₃	—	3	1	no	—
122	C₃²×C₄₃	—	3	1	no	—
123	C₃²×C₄₃	C₃×3₋¹⁺²	1	3	yes	—
124	C₃²×C₄₃	C₃⁴	1	1	yes	characteristic
125	C₃×C₄₃⋊C₃	—	3	1	no	—
126	C₃×C₄₃⋊C₃	—	3	1	no	—
127	C₃×C₄₃⋊C₃	—	3	1	no	—
128	C₃×C₄₃⋊C₃	—	3	1	no	—
129	C₃×C₄₃⋊C₃	—	3	1	no	—
130	C₃×C₄₃⋊C₃	—	3	1	no	—
131	C₃×C₄₃⋊C₃	—	3	1	no	—
132	C₃×C₄₃⋊C₃	—	3	1	no	—
133	C₃×C₄₃⋊C₃	—	3	1	no	—
134	C₃×C₄₃⋊C₃	—	3	1	no	—
135	C₃×C₄₃⋊C₃	—	3	1	no	—
136	C₃×C₄₃⋊C₃	—	9	9	no	—
137	C₃×C₄₃⋊C₃	#737	1	3	yes	—
138	C₉×C₄₃	—	3	3	no	—
139	C₉×C₄₃	—	3	3	no	—
140	C₉×C₄₃	—	3	1	no	—
141	C₉×C₄₃	—	3	1	no	—
142	C₉×C₄₃	—	3	1	no	—
143	C₉×C₄₃	—	3	3	no	—
144	C₄₃⋊C₉	—	3	3	no	—
145	C₄₃⋊C₉	—	3	3	no	—
146	C₄₃⋊C₉	—	3	3	no	—
147	C₄₃⋊C₉	—	3	1	no	—
148	C₄₃⋊C₉	—	3	1	no	—
149	C₄₃⋊C₉	—	3	1	no	—
150	C₄₃⋊C₉	—	3	1	no	—
151	C₄₃⋊C₉	—	3	1	no	—
152	C₄₃⋊C₉	—	3	1	no	—
153	C₄₃⋊C₉	—	3	3	no	—
154	C₄₃⋊C₉	—	3	3	no	—
155	C₄₃⋊C₉	C₃×3₋¹⁺²	1	9	yes	—
156	C₃²×3₋¹⁺²	—	43	1	no	—
157	#6899	—	43	3	no	—
158	#6899	—	43	3	no	—
159	#6899	—	43	3	no	—
160	#6896	—	43	3	no	—
161	#6896	—	43	3	no	—
162	#6896	—	43	3	no	—
163	#6894	—	43	1	no	—
164	#6894	—	43	1	no	—
165	#6894	—	43	1	no	—
166	#6894	—	43	3	no	—
167	#6894	—	43	3	no	—
168	#6894	—	43	1	no	—
169	#6894	—	43	1	no	—
170	#6894	C₄₃⋊C₃	1	1	yes	characteristic, complemented
171	#6891	—	43	1	no	—
172	#6891	—	43	1	no	—
173	C₉×3₋¹⁺²	—	43	1	no	—
174	C₉×3₋¹⁺²	—	43	3	no	—
175	C₉×3₋¹⁺²	—	43	1	no	—
176	C₉×3₋¹⁺²	—	43	1	no	—
177	C₃×C₃²⋊C₉	—	43	1	no	—
178	C₃×C₄₃	—	3	3	no	—
179	C₃×C₄₃	C₃²×3₋¹⁺²	1	1	yes	characteristic
180	C₃×C₄₃	C₃×#737	1	1	yes	characteristic
181	C₃×C₄₃	3₋¹⁺⁴	1	1	yes	characteristic
182	C₃×C₄₃	3₋¹⁺⁴	1	1	yes	characteristic
183	C₄₃⋊C₃	—	3	3	no	—
184	C₄₃⋊C₃	—	9	1	no	—
185	C₄₃⋊C₃	—	9	1	no	—
186	C₃⁴	—	43	1	no	—
187	C₃×3₋¹⁺²	—	43	1	no	—
188	C₃×3₋¹⁺²	—	43	1	no	—
189	C₃×3₋¹⁺²	—	43	3	no	—
190	C₃×3₋¹⁺²	—	43	3	no	—
191	C₃×3₋¹⁺²	—	43	3	no	—
192	C₃×3₋¹⁺²	—	43	3	no	—
193	C₃×3₋¹⁺²	—	129	9	no	—
194	C₃×3₋¹⁺²	C₃×C₄₃⋊C₃	1	1	yes	characteristic
195	C₃²×C₉	—	43	1	no	—
196	C₃²×C₉	—	43	1	no	—
197	C₃²×C₉	—	43	3	no	—
198	C₃²×C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
199	C₉⋊C₉	—	43	3	no	—
200	C₉⋊C₉	—	43	3	no	—
201	C₉⋊C₉	—	43	3	no	—
202	C₉⋊C₉	—	43	3	no	—
203	C₉⋊C₉	—	43	3	no	—
204	C₉⋊C₉	—	43	3	no	—
205	C₉⋊C₉	—	43	3	no	—
206	C₉⋊C₉	—	43	3	no	—
207	C₉⋊C₉	—	43	3	no	—
208	C₉⋊C₉	—	43	3	no	—
209	C₉⋊C₉	—	43	3	no	—
210	C₉⋊C₉	—	43	3	no	—
211	C₉⋊C₉	—	43	3	no	—
212	C₉⋊C₉	—	43	3	no	—
213	C₉⋊C₉	—	43	3	no	—
214	C₉⋊C₉	—	43	3	no	—
215	C₉⋊C₉	—	43	3	no	—
216	C₉⋊C₉	—	43	3	no	—
217	C₉⋊C₉	—	43	3	no	—
218	C₉⋊C₉	—	43	3	no	—
219	C₉⋊C₉	—	43	3	no	—
220	C₉⋊C₉	C₃×C₄₃⋊C₃	1	3	yes	complemented
221	C₉⋊C₉	C₃×C₄₃⋊C₃	1	3	yes	complemented
222	C₉⋊C₉	C₃×C₄₃⋊C₃	1	3	yes	complemented
223	C₃²⋊C₉	—	43	1	no	—
224	C₃²⋊C₉	—	43	1	no	—
225	C₃²⋊C₉	—	43	1	no	—
226	C₃²⋊C₉	—	43	1	no	—
227	C₃²⋊C₉	—	43	1	no	—
228	C₃²⋊C₉	—	43	1	no	—
229	C₃²⋊C₉	—	43	1	no	—
230	C₃²⋊C₉	—	43	1	no	—
231	C₃²⋊C₉	—	43	1	no	—
232	C₃²⋊C₉	—	43	1	no	—
233	C₃²⋊C₉	—	43	1	no	—
234	C₃²⋊C₉	—	43	1	no	—
235	C₃²⋊C₉	—	43	1	no	—
236	C₃²⋊C₉	—	43	3	no	—
237	C₃²⋊C₉	—	43	3	no	—
238	C₃²⋊C₉	—	43	3	no	—
239	C₃²⋊C₉	—	43	3	no	—
240	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
241	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
242	C₉²	—	43	3	no	—
243	C₉²	—	43	3	no	—
244	C₉²	—	43	3	no	—
245	C₄₃	#10624899	1	1	yes	characteristic, complemented, Sylow
246	C₃³	—	43	1	no	—
247	C₃³	—	43	1	no	—
248	C₃³	—	43	1	no	—
249	C₃³	—	129	3	no	—
250	C₃³	—	129	3	no	—
251	C₃³	—	387	1	no	—
252	C₃³	—	387	1	no	—
253	C₃³	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
254	3₋¹⁺²	—	3	3	no	—
255	3₋¹⁺²	—	43	9	no	—
256	3₋¹⁺²	—	129	9	no	—
257	3₋¹⁺²	—	129	9	no	—
258	3₋¹⁺²	—	129	9	no	—
259	3₋¹⁺²	—	129	3	no	—
260	3₋¹⁺²	—	387	3	no	—
261	C₃×C₉	—	9	1	no	—
262	C₃×C₉	—	43	3	no	—
263	C₃×C₉	—	43	1	no	—
264	C₃×C₉	—	43	1	no	—
265	C₃×C₉	—	43	3	no	—
266	C₃×C₉	—	43	3	no	—
267	C₃×C₉	—	43	3	no	—
268	C₃×C₉	—	43	3	no	—
269	C₃×C₉	—	43	1	no	—
270	C₃×C₉	—	43	1	no	—
271	C₃×C₉	—	43	1	no	—
272	C₃×C₉	—	43	1	no	—
273	C₃×C₉	—	43	3	no	—
274	C₃×C₉	—	129	9	no	—
275	C₃×C₉	—	387	1	no	—
276	C₃×C₉	—	387	1	no	—
277	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
278	C₃×C₉	C₃²×C₄₃⋊C₃	1	3	yes	—
279	C₃×C₉	C₃²×C₄₃⋊C₃	1	3	yes	—
280	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
281	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
282	C₃×C₉	C₃²×C₄₃⋊C₃	1	3	yes	—
283	C₃²	—	3	1	no	—
284	C₃²	—	3	1	no	—
285	C₃²	—	3	1	no	—
286	C₃²	—	43	3	no	—
287	C₃²	—	129	1	no	—
288	C₃²	—	129	1	no	—
289	C₃²	—	129	1	no	—
290	C₃²	—	129	1	no	—
291	C₃²	—	129	1	no	—
292	C₃²	—	129	1	no	—
293	C₃²	—	129	1	no	—
294	C₃²	—	129	1	no	—
295	C₃²	—	129	1	no	—
296	C₃²	—	129	1	no	—
297	C₃²	—	129	1	no	—
298	C₃²	—	387	9	no	—
299	C₃²	3₋¹⁺²×C₄₃⋊C₃	1	3	yes	—
300	C₃²	C₃³×C₄₃⋊C₃	1	1	yes	characteristic
301	C₉	—	3	3	no	—
302	C₉	—	3	3	no	—
303	C₉	—	3	3	no	—
304	C₉	—	3	1	no	—
305	C₉	—	3	1	no	—
306	C₉	—	3	1	no	—
307	C₉	—	43	9	no	—
308	C₉	—	129	3	no	—
309	C₉	—	129	3	no	—
310	C₉	—	129	3	no	—
311	C₉	—	129	3	no	—
312	C₉	—	129	3	no	—
313	C₉	—	129	1	no	—
314	C₉	—	129	1	no	—
315	C₉	—	129	1	no	—
316	C₉	—	129	1	no	—
317	C₉	—	129	1	no	—
318	C₉	—	129	1	no	—
319	C₃	—	3	3	no	—
320	C₃	—	129	3	no	—
321	C₃	—	387	1	no	—
322	C₃	—	387	1	no	—
323	C₃	C₃×3₋¹⁺²×C₄₃⋊C₃	1	1	yes	characteristic
324	C₃	#737×C₄₃⋊C₃	1	1	yes	characteristic
325	C₃	#23782921	1	1	yes	characteristic
326	C₃	#23782923	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₃²	C₃³×C₄₃⋊C₃
commutator, socle, cosocle	C₃²×C₄₃	C₃⁴
Fitting	C₄₃×#6894	C₃
prime radical	C₃³×C₄₃⋊C₃	C₃²
hypercenter	#6894	C₄₃⋊C₃
hypocenter	C₄₃	#10624899
LCS	G ▷ C₃²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₃² ◁ #6894

Complements

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

N	H ≅ G/N	type
2. #23782841	C₃	semidirect
3. #23782841	C₃	semidirect
4. #23782841	C₃	semidirect
5. #23782828	C₃	semidirect
6. #23782826	C₃	semidirect
7. #23782826	C₃	semidirect
8. #23782817	C₃	semidirect
9. #23782817	C₃	semidirect
10. #23782816	C₃	semidirect
11. #23782814	C₃	semidirect
12. #23782814	C₃	semidirect
13. #23782812	C₃	semidirect
14. #23782812	C₃	semidirect
17. #23782792	C₃	semidirect
18. #23782792	C₃	semidirect
19. C₉×#11923958	C₃	semidirect
20. #11923957⋊C₉	C₃	semidirect
22. C₄₃×#6894	C₃	semidirect
34. #16812500	C₃²	semidirect
35. #16812500	C₃²	semidirect
36. #16812500	C₃²	semidirect
37. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
38. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
39. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
40. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
41. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
42. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
43. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
44. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
45. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
46. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
47. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
48. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
49. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
50. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
51. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
52. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
53. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
54. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
72. C₉×C₄₃⋊C₉	C₃²	semidirect
73. C₉×C₄₃⋊C₉	C₃²	semidirect
74. C₉×C₄₃⋊C₉	C₃²	semidirect
77. C₄₃×C₉⋊C₉	C₃²	semidirect
78. C₄₃×C₉⋊C₉	C₃²	semidirect
79. C₄₃×C₉⋊C₉	C₃²	semidirect
90. #11923958	3₋¹⁺²	semidirect
170. #6894	C₄₃⋊C₃	semidirect
220. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
221. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
222. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
245. C₄₃	#10624899	semidirect

Maximal subgroups

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

subgroup	index
C₃×3₋¹⁺²×C₄₃⋊C₃	3
#23782841	3
#23782828	3
#23782826	3
#23782817	3
#23782816	3
#23782814	3
#23782812	3
#23782797	3
#23782792	3
C₉×#11923958	3
#11923957⋊C₉	3
C₃×(C₃×C₄₃⋊C₃)⋊C₉	3
C₄₃×#6894	3
#10624899	43