Subgroups — #44534823

Order 31347.

728 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	#23782821	C₃	1	3	yes	maximal, complemented
3	#23782821	C₃	1	3	yes	maximal, complemented
4	#23782821	C₃	1	3	yes	maximal, complemented
5	#23782818	C₃	1	1	yes	maximal, characteristic, complemented
6	#23782818	C₃	1	1	yes	maximal, characteristic, complemented
7	#23782817	C₃	1	1	yes	maximal, characteristic, complemented
8	#23782817	C₃	1	1	yes	maximal, characteristic, complemented
9	#23782816	C₃	1	1	yes	maximal, characteristic, complemented
10	#23782815	C₃	1	1	yes	maximal, characteristic, complemented
11	#23782814	C₃	1	3	yes	maximal, complemented
12	#23782814	C₃	1	3	yes	maximal, complemented
13	#23782813	C₃	1	3	yes	maximal, complemented
14	#23782813	C₃	1	3	yes	maximal, complemented
15	#23782812	C₃	1	1	yes	maximal, characteristic, complemented
16	#23782812	C₃	1	1	yes	maximal, characteristic, complemented
17	#23782811	C₃	1	3	yes	maximal, complemented
18	#23782810	C₃	1	3	yes	maximal, complemented
19	C₃×(C₃×C₄₃⋊C₃)⋊C₉	C₃	1	1	yes	maximal, characteristic
20	C₃²⋊C₉×C₄₃⋊C₃	C₃	1	1	yes	maximal, characteristic
21	C₃²⋊C₉×C₄₃⋊C₃	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×#11923956	C₃²	1	3	yes	—
28	3₋¹⁺²×C₄₃⋊C₃	—	3	9	no	—
29	C₃²×C₄₃⋊C₉	C₃²	1	1	yes	characteristic
30	C₃²×C₄₃⋊C₉	C₃²	1	1	yes	characteristic
31	C₃×C₉×C₄₃⋊C₃	C₃²	1	3	yes	—
32	C₃×C₉×C₄₃⋊C₃	C₃²	1	3	yes	—
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	#16812499	C₃²	1	3	yes	complemented
38	#16812499	C₃²	1	3	yes	complemented
39	#16812499	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	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
56	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
57	(C₄₃⋊C₉)⋊C₉	C₃²	1	3	yes	complemented
58	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
59	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
60	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
61	C₃²⋊(C₄₃⋊C₉)	C₃²	1	1	yes	characteristic
62	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
63	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
64	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
65	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	3	yes	—
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	1	yes	characteristic
69	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
70	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
71	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
72	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
73	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
74	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
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	—	9	1	no	—
83	C₃²×C₄₃⋊C₃	—	9	1	no	—
84	C₃²×C₄₃⋊C₃	—	9	1	no	—
85	C₃²×C₄₃⋊C₃	3₋¹⁺²	1	9	yes	—
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	3	no	—
91	#11923957	—	3	9	no	—
92	#11923956	—	3	9	no	—
93	C₃×C₄₃⋊C₉	—	9	1	no	—
94	C₃×C₄₃⋊C₉	—	9	1	no	—
95	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
96	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
97	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
98	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
99	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
100	C₃×C₄₃⋊C₉	C₃³	1	1	yes	characteristic
101	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
102	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
103	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
104	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
105	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
106	C₃×C₄₃⋊C₉	C₃³	1	3	yes	—
107	C₉×C₄₃⋊C₃	—	3	9	no	—
108	C₉×C₄₃⋊C₃	—	9	3	no	—
109	C₉×C₄₃⋊C₃	—	9	3	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	#10624886	—	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	—	9	9	no	—
135	C₃×C₄₃⋊C₃	C₃×3₋¹⁺²	1	3	yes	—
136	C₃×C₄₃⋊C₃	C₃×3₋¹⁺²	1	3	yes	—
137	C₃×C₄₃⋊C₃	C₃×3₋¹⁺²	1	3	yes	—
138	C₉×C₄₃	—	3	3	no	—
139	C₉×C₄₃	—	3	1	no	—
140	C₉×C₄₃	—	3	1	no	—
141	C₉×C₄₃	—	3	1	no	—
142	C₉×C₄₃	—	3	3	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	3	no	—
148	C₄₃⋊C₉	—	3	3	no	—
149	C₄₃⋊C₉	—	3	3	no	—
150	C₄₃⋊C₉	—	3	1	no	—
151	C₄₃⋊C₉	—	3	1	no	—
152	C₄₃⋊C₉	—	3	1	no	—
153	C₄₃⋊C₉	—	3	1	no	—
154	C₄₃⋊C₉	—	3	1	no	—
155	C₄₃⋊C₉	—	3	1	no	—
156	C₃²×3₋¹⁺²	—	43	1	no	—
157	#6895	—	43	3	no	—
158	#6895	—	43	3	no	—
159	#6895	—	43	3	no	—
160	#6894	—	43	1	no	—
161	#6894	—	43	1	no	—
162	#6894	—	43	1	no	—
163	#6894	—	43	1	no	—
164	#6894	—	43	3	no	—
165	#6894	—	43	3	no	—
166	#6894	—	43	3	no	—
167	#6894	—	43	3	no	—
168	#6894	—	43	3	no	—
169	#6894	—	43	3	no	—
170	#6894	—	43	1	no	—
171	#6894	—	43	1	no	—
172	#6894	—	43	1	no	—
173	#6894	—	43	1	no	—
174	#6894	C₄₃⋊C₃	1	1	yes	characteristic, complemented
175	C₃×C₃²⋊C₉	—	43	1	no	—
176	C₃×C₃²⋊C₉	—	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	3₋¹⁺⁴	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	—	3	3	no	—
185	C₄₃⋊C₃	—	3	3	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	—	129	9	no	—
192	C₃×3₋¹⁺²	C₃×C₄₃⋊C₃	1	1	yes	characteristic
193	C₃²×C₉	—	43	1	no	—
194	C₃²×C₉	—	43	1	no	—
195	C₃²×C₉	—	43	3	no	—
196	C₃²×C₉	—	43	3	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	—	43	3	no	—
221	C₉⋊C₉	—	43	3	no	—
222	C₉⋊C₉	—	43	3	no	—
223	C₉⋊C₉	C₃×C₄₃⋊C₃	1	3	yes	complemented
224	C₉⋊C₉	C₃×C₄₃⋊C₃	1	3	yes	complemented
225	C₉⋊C₉	C₃×C₄₃⋊C₃	1	3	yes	complemented
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	1	no	—
239	C₃²⋊C₉	—	43	1	no	—
240	C₃²⋊C₉	—	43	1	no	—
241	C₃²⋊C₉	—	43	3	no	—
242	C₃²⋊C₉	—	43	3	no	—
243	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
244	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
245	C₄₃	#10624886	1	1	yes	characteristic, complemented, Sylow
246	C₃³	—	43	1	no	—
247	C₃³	—	43	1	no	—
248	C₃³	—	43	1	no	—
249	C₃³	—	43	9	no	—
250	C₃³	—	387	1	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	—	129	9	no	—
256	3₋¹⁺²	—	129	9	no	—
257	3₋¹⁺²	—	129	3	no	—
258	3₋¹⁺²	—	129	3	no	—
259	C₃×C₉	—	9	1	no	—
260	C₃×C₉	—	43	3	no	—
261	C₃×C₉	—	43	3	no	—
262	C₃×C₉	—	43	3	no	—
263	C₃×C₉	—	43	3	no	—
264	C₃×C₉	—	43	1	no	—
265	C₃×C₉	—	43	1	no	—
266	C₃×C₉	—	43	1	no	—
267	C₃×C₉	—	43	1	no	—
268	C₃×C₉	—	43	1	no	—
269	C₃×C₉	—	43	1	no	—
270	C₃×C₉	—	43	3	no	—
271	C₃×C₉	—	43	3	no	—
272	C₃×C₉	—	129	9	no	—
273	C₃×C₉	—	387	3	no	—
274	C₃×C₉	—	387	3	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	1	yes	characteristic
279	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
280	C₃×C₉	C₃²×C₄₃⋊C₃	1	3	yes	—
281	C₃×C₉	C₃²×C₄₃⋊C₃	1	3	yes	—
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	—	43	3	no	—
288	C₃²	—	43	3	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	—	129	3	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	—	129	3	no	—
322	C₃	—	129	3	no	—
323	C₃	C₃×3₋¹⁺²×C₄₃⋊C₃	1	1	yes	characteristic
324	C₃	#23782921	1	1	yes	characteristic
325	C₃	#23782922	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	#10624886
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. #23782821	C₃	semidirect
3. #23782821	C₃	semidirect
4. #23782821	C₃	semidirect
5. #23782818	C₃	semidirect
6. #23782818	C₃	semidirect
7. #23782817	C₃	semidirect
8. #23782817	C₃	semidirect
9. #23782816	C₃	semidirect
10. #23782815	C₃	semidirect
11. #23782814	C₃	semidirect
12. #23782814	C₃	semidirect
13. #23782813	C₃	semidirect
14. #23782813	C₃	semidirect
15. #23782812	C₃	semidirect
16. #23782812	C₃	semidirect
17. #23782811	C₃	semidirect
18. #23782810	C₃	semidirect
22. C₄₃×#6894	C₃	semidirect
34. #16812500	C₃²	semidirect
35. #16812500	C₃²	semidirect
36. #16812500	C₃²	semidirect
37. #16812499	C₃²	semidirect
38. #16812499	C₃²	semidirect
39. #16812499	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
55. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
56. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
57. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
77. C₄₃×C₉⋊C₉	C₃²	semidirect
78. C₄₃×C₉⋊C₉	C₃²	semidirect
79. C₄₃×C₉⋊C₉	C₃²	semidirect
174. #6894	C₄₃⋊C₃	semidirect
223. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
224. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
225. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
245. C₄₃	#10624886	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
#23782821	3
#23782818	3
#23782817	3
#23782816	3
#23782815	3
#23782814	3
#23782813	3
#23782812	3
#23782811	3
#23782810	3
C₃×(C₃×C₄₃⋊C₃)⋊C₉	3
C₃²⋊C₉×C₄₃⋊C₃	3
C₄₃×#6894	3
#10624886	43