Subgroups — #44535205

Order 31347.

596 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23782844	C₃	1	2	yes	maximal, complemented
2	#23782843	C₃	1	2	yes	maximal, complemented
3	#23782842	C₃	1	2	yes	maximal, complemented
4	#23782842	C₃	1	2	yes	maximal, complemented
5	#23782842	C₃	1	2	yes	maximal, complemented
6	#23782841	C₃	1	2	yes	maximal, complemented
7	#23782841	C₃	1	2	yes	maximal, complemented
8	#23782841	C₃	1	2	yes	maximal, complemented
9	#23782840	C₃	1	1	yes	maximal, characteristic, complemented
10	#23782839	C₃	1	1	yes	maximal, characteristic, complemented
11	#23782829	C₃	1	2	yes	maximal, complemented
12	#23782829	C₃	1	2	yes	maximal, complemented
13	#23782829	C₃	1	2	yes	maximal, complemented
14	#23782829	C₃	1	2	yes	maximal, complemented
15	#23782828	C₃	1	2	yes	maximal, complemented
16	#23782827	C₃	1	2	yes	maximal, complemented
17	#23782826	C₃	1	2	yes	maximal, complemented
18	#23782826	C₃	1	2	yes	maximal, complemented
19	#23782825	C₃	1	1	yes	maximal, characteristic, complemented
20	#23782797	C₃	1	1	yes	maximal, characteristic
21	#23782797	C₃	1	1	yes	maximal, characteristic
22	#23782796	C₃	1	1	yes	maximal, characteristic
23	#23782796	C₃	1	1	yes	maximal, characteristic
24	C₄₃×#6897	C₃	1	1	yes	maximal, characteristic, complemented
25	C₃³×C₄₃⋊C₃	C₃²	1	1	yes	characteristic
26	C₃×#11923957	C₃²	1	1	yes	characteristic
27	C₃×#11923957	C₃²	1	2	yes	—
28	C₃×#11923957	C₃²	1	1	yes	characteristic
29	C₃×#11923957	C₃²	1	2	yes	—
30	C₃×#11923956	C₃²	1	1	yes	characteristic
31	C₃×#11923956	C₃²	1	2	yes	—
32	C₃×#11923956	C₃²	1	1	yes	characteristic
33	C₃×#11923956	C₃²	1	2	yes	—
34	#16812500	C₃²	1	2	yes	complemented
35	#16812500	C₃²	1	2	yes	complemented
36	#16812500	C₃²	1	2	yes	complemented
37	#16812500	C₃²	1	2	yes	complemented
38	#16812499	C₃²	1	2	yes	complemented
39	#16812499	C₃²	1	2	yes	complemented
40	#16812499	C₃²	1	2	yes	complemented
41	#16812499	C₃²	1	2	yes	complemented
42	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
43	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
44	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
45	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
46	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
47	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
48	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
49	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
50	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
51	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
52	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
53	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
54	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
55	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
56	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
57	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
58	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
59	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
60	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
61	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
62	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
63	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
64	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
65	(C₄₃⋊C₉)⋊C₉	C₃²	1	2	yes	complemented
66	C₃²⋊(C₄₃⋊C₉)	C₃²	1	2	yes	—
67	C₃²⋊(C₄₃⋊C₉)	C₃²	1	2	yes	—
68	C₃²⋊(C₄₃⋊C₉)	C₃²	1	2	yes	—
69	C₃²⋊(C₄₃⋊C₉)	C₃²	1	2	yes	—
70	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
71	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
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×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
76	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
77	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
78	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
79	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
80	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
81	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
82	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	1	yes	characteristic
83	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
84	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
85	(C₃×C₄₃⋊C₃)⋊C₉	C₃²	1	2	yes	—
86	C₉×C₄₃⋊C₉	C₃²	1	2	yes	complemented
87	C₉×C₄₃⋊C₉	C₃²	1	2	yes	complemented
88	C₉×C₄₃⋊C₉	C₃²	1	2	yes	complemented
89	C₉×C₄₃⋊C₉	C₃²	1	2	yes	complemented
90	C₄₃×C₉⋊C₉	C₃²	1	2	yes	complemented
91	C₄₃×C₉⋊C₉	C₃²	1	2	yes	complemented
92	C₄₃×C₉⋊C₉	C₃²	1	2	yes	complemented
93	C₄₃×C₉⋊C₉	C₃²	1	2	yes	complemented
94	C₄₃×C₃²⋊C₉	C₃²	1	1	yes	characteristic
95	C₄₃×C₃²⋊C₉	C₃²	1	1	yes	characteristic
96	C₄₃×C₃²⋊C₉	C₃²	1	1	yes	characteristic
97	C₄₃×C₃²⋊C₉	C₃²	1	1	yes	characteristic
98	C₉²×C₄₃	C₃²	1	1	yes	characteristic, complemented
99	C₃²×C₄₃⋊C₃	—	9	1	no	—
100	C₃²×C₄₃⋊C₃	—	9	1	no	—
101	C₃²×C₄₃⋊C₃	—	9	1	no	—
102	C₃²×C₄₃⋊C₃	—	9	1	no	—
103	C₃²×C₄₃⋊C₃	C₃³	1	1	yes	characteristic
104	C₃²×C₄₃⋊C₃	C₃³	1	1	yes	characteristic
105	C₃²×C₄₃⋊C₃	C₃³	1	1	yes	characteristic
106	#11923957	—	9	1	no	—
107	#11923957	—	9	2	no	—
108	#11923957	—	9	1	no	—
109	#11923957	—	9	2	no	—
110	#11923956	—	9	1	no	—
111	#11923956	—	9	2	no	—
112	#11923956	—	9	1	no	—
113	#11923956	—	9	2	no	—
114	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
115	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
116	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
117	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
118	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
119	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
120	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
121	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
122	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
123	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
124	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
125	C₃×C₄₃⋊C₉	C₃³	1	2	yes	—
126	C₃³×C₄₃	C₃³	1	1	yes	characteristic
127	C₃×C₉×C₄₃	C₃³	1	1	yes	characteristic
128	C₃×C₉×C₄₃	C₃³	1	1	yes	characteristic
129	C₃×C₉×C₄₃	C₃³	1	1	yes	characteristic
130	C₃×C₉×C₄₃	C₃³	1	1	yes	characteristic
131	C₃×C₉×C₄₃	C₃³	1	2	yes	—
132	C₃×C₉×C₄₃	C₃³	1	2	yes	—
133	C₃×C₉×C₄₃	C₃³	1	2	yes	—
134	C₃×C₉×C₄₃	C₃³	1	2	yes	—
135	#10624911	—	43	1	no	maximal, Sylow
136	C₃²×C₄₃	—	3	1	no	—
137	C₃²×C₄₃	—	3	1	no	—
138	C₃²×C₄₃	—	3	1	no	—
139	C₃²×C₄₃	—	3	1	no	—
140	C₃²×C₄₃	C₃⁴	1	1	yes	characteristic
141	C₃×C₄₃⋊C₃	—	3	1	no	—
142	C₃×C₄₃⋊C₃	—	3	1	no	—
143	C₃×C₄₃⋊C₃	—	3	1	no	—
144	C₃×C₄₃⋊C₃	—	3	1	no	—
145	C₃×C₄₃⋊C₃	—	3	1	no	—
146	C₃×C₄₃⋊C₃	—	3	1	no	—
147	C₃×C₄₃⋊C₃	—	3	1	no	—
148	C₃×C₄₃⋊C₃	—	3	1	no	—
149	C₃×C₄₃⋊C₃	—	3	1	no	—
150	C₃×C₄₃⋊C₃	—	3	1	no	—
151	C₃×C₄₃⋊C₃	—	3	1	no	—
152	C₃×C₄₃⋊C₃	—	3	1	no	—
153	C₃×C₄₃⋊C₃	—	9	9	no	—
154	C₉×C₄₃	—	3	1	no	—
155	C₉×C₄₃	—	3	2	no	—
156	C₉×C₄₃	—	3	1	no	—
157	C₉×C₄₃	—	3	2	no	—
158	C₉×C₄₃	—	3	1	no	—
159	C₉×C₄₃	—	3	2	no	—
160	C₉×C₄₃	—	3	1	no	—
161	C₉×C₄₃	—	3	2	no	—
162	C₄₃⋊C₉	—	3	2	no	—
163	C₄₃⋊C₉	—	3	2	no	—
164	C₄₃⋊C₉	—	3	2	no	—
165	C₄₃⋊C₉	—	3	2	no	—
166	C₄₃⋊C₉	—	3	2	no	—
167	C₄₃⋊C₉	—	3	2	no	—
168	C₄₃⋊C₉	—	3	2	no	—
169	C₄₃⋊C₉	—	3	2	no	—
170	C₄₃⋊C₉	—	3	2	no	—
171	C₄₃⋊C₉	—	3	2	no	—
172	C₄₃⋊C₉	—	3	2	no	—
173	C₄₃⋊C₉	—	3	2	no	—
174	#6899	—	43	2	no	—
175	#6899	—	43	2	no	—
176	#6899	—	43	2	no	—
177	#6899	—	43	2	no	—
178	#6899	—	43	2	no	—
179	#6899	—	43	2	no	—
180	#6899	—	43	2	no	—
181	#6899	—	43	2	no	—
182	#6899	—	43	1	no	—
183	#6899	—	43	1	no	—
184	#6897	—	43	2	no	—
185	#6897	—	43	2	no	—
186	#6897	—	43	2	no	—
187	#6897	—	43	2	no	—
188	#6897	C₄₃⋊C₃	1	1	yes	characteristic, complemented
189	#6896	—	43	2	no	—
190	#6896	—	43	2	no	—
191	#6896	—	43	2	no	—
192	#6896	—	43	2	no	—
193	#6896	—	43	1	no	—
194	#6891	—	43	1	no	—
195	#6891	—	43	1	no	—
196	#6891	—	43	1	no	—
197	#6891	—	43	1	no	—
198	C₃×C₄₃	—	9	1	no	—
199	C₃×C₄₃	3₋¹⁺⁴	1	1	yes	characteristic
200	C₃×C₄₃	3₋¹⁺⁴	1	1	yes	characteristic
201	C₃×C₄₃	3₋¹⁺⁴	1	1	yes	characteristic
202	C₃×C₄₃	3₋¹⁺⁴	1	1	yes	characteristic
203	C₄₃⋊C₃	—	9	1	no	—
204	C₄₃⋊C₃	—	9	1	no	—
205	C₄₃⋊C₃	—	9	1	no	—
206	C₃⁴	—	43	1	no	—
207	C₃×3₋¹⁺²	—	43	2	no	—
208	C₃×3₋¹⁺²	—	43	1	no	—
209	C₃×3₋¹⁺²	—	43	2	no	—
210	C₃×3₋¹⁺²	—	43	1	no	—
211	C₃×3₋¹⁺²	—	43	2	no	—
212	C₃×3₋¹⁺²	—	43	1	no	—
213	C₃×3₋¹⁺²	—	43	2	no	—
214	C₃×3₋¹⁺²	—	43	1	no	—
215	C₉⋊C₉	—	43	2	no	—
216	C₉⋊C₉	—	43	2	no	—
217	C₉⋊C₉	—	43	2	no	—
218	C₉⋊C₉	—	43	2	no	—
219	C₉⋊C₉	—	43	2	no	—
220	C₉⋊C₉	—	43	2	no	—
221	C₉⋊C₉	—	43	2	no	—
222	C₉⋊C₉	—	43	2	no	—
223	C₉⋊C₉	—	43	2	no	—
224	C₉⋊C₉	—	43	2	no	—
225	C₉⋊C₉	—	43	2	no	—
226	C₉⋊C₉	—	43	2	no	—
227	C₉⋊C₉	—	43	2	no	—
228	C₉⋊C₉	—	43	2	no	—
229	C₉⋊C₉	—	43	2	no	—
230	C₉⋊C₉	—	43	2	no	—
231	C₉⋊C₉	—	43	2	no	—
232	C₉⋊C₉	—	43	2	no	—
233	C₉⋊C₉	—	43	2	no	—
234	C₉⋊C₉	—	43	2	no	—
235	C₉⋊C₉	—	43	2	no	—
236	C₉⋊C₉	—	43	2	no	—
237	C₉⋊C₉	—	43	2	no	—
238	C₉⋊C₉	—	43	2	no	—
239	C₉⋊C₉	—	43	2	no	—
240	C₉⋊C₉	—	43	2	no	—
241	C₉⋊C₉	—	43	2	no	—
242	C₉⋊C₉	—	43	2	no	—
243	C₉⋊C₉	—	43	2	no	—
244	C₉⋊C₉	—	43	2	no	—
245	C₉⋊C₉	—	43	2	no	—
246	C₉⋊C₉	—	43	2	no	—
247	C₉⋊C₉	C₃×C₄₃⋊C₃	1	2	yes	complemented
248	C₉⋊C₉	C₃×C₄₃⋊C₃	1	2	yes	complemented
249	C₉⋊C₉	C₃×C₄₃⋊C₃	1	2	yes	complemented
250	C₉⋊C₉	C₃×C₄₃⋊C₃	1	2	yes	complemented
251	C₃²⋊C₉	—	43	2	no	—
252	C₃²⋊C₉	—	43	2	no	—
253	C₃²⋊C₉	—	43	2	no	—
254	C₃²⋊C₉	—	43	2	no	—
255	C₃²⋊C₉	—	43	2	no	—
256	C₃²⋊C₉	—	43	2	no	—
257	C₃²⋊C₉	—	43	1	no	—
258	C₃²⋊C₉	—	43	1	no	—
259	C₃²⋊C₉	—	43	2	no	—
260	C₃²⋊C₉	—	43	2	no	—
261	C₃²⋊C₉	—	43	2	no	—
262	C₃²⋊C₉	—	43	2	no	—
263	C₃²⋊C₉	—	43	2	no	—
264	C₃²⋊C₉	—	43	2	no	—
265	C₃²⋊C₉	—	43	1	no	—
266	C₃²⋊C₉	—	43	1	no	—
267	C₃²⋊C₉	—	43	1	no	—
268	C₃²⋊C₉	—	43	1	no	—
269	C₃²⋊C₉	—	43	1	no	—
270	C₃²⋊C₉	—	43	1	no	—
271	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
272	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
273	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
274	C₃²⋊C₉	C₃×C₄₃⋊C₃	1	1	yes	characteristic
275	C₉²	—	43	2	no	—
276	C₉²	—	43	2	no	—
277	C₉²	—	43	2	no	—
278	C₉²	—	43	2	no	—
279	C₉²	C₃×C₄₃⋊C₃	1	1	yes	characteristic, complemented
280	C₄₃	#10624911	1	1	yes	characteristic, complemented, Sylow
281	C₃³	—	43	1	no	—
282	C₃³	—	43	1	no	—
283	C₃³	—	43	1	no	—
284	C₃³	—	387	1	no	—
285	C₃³	—	387	1	no	—
286	C₃³	—	387	1	no	—
287	C₃³	—	387	1	no	—
288	C₃³	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
289	3₋¹⁺²	—	387	2	no	—
290	3₋¹⁺²	—	387	1	no	—
291	3₋¹⁺²	—	387	2	no	—
292	3₋¹⁺²	—	387	1	no	—
293	3₋¹⁺²	—	387	2	no	—
294	3₋¹⁺²	—	387	1	no	—
295	3₋¹⁺²	—	387	2	no	—
296	3₋¹⁺²	—	387	1	no	—
297	C₃×C₉	—	43	2	no	—
298	C₃×C₉	—	43	2	no	—
299	C₃×C₉	—	43	2	no	—
300	C₃×C₉	—	43	2	no	—
301	C₃×C₉	—	43	2	no	—
302	C₃×C₉	—	43	2	no	—
303	C₃×C₉	—	43	2	no	—
304	C₃×C₉	—	43	2	no	—
305	C₃×C₉	—	43	2	no	—
306	C₃×C₉	—	43	2	no	—
307	C₃×C₉	—	43	2	no	—
308	C₃×C₉	—	43	2	no	—
309	C₃×C₉	C₃²×C₄₃⋊C₃	1	2	yes	—
310	C₃×C₉	C₃²×C₄₃⋊C₃	1	2	yes	—
311	C₃×C₉	C₃²×C₄₃⋊C₃	1	2	yes	—
312	C₃×C₉	C₃²×C₄₃⋊C₃	1	2	yes	—
313	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
314	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
315	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
316	C₃×C₉	C₃²×C₄₃⋊C₃	1	1	yes	characteristic
317	C₃²	—	3	1	no	—
318	C₃²	—	3	1	no	—
319	C₃²	—	3	1	no	—
320	C₃²	—	3	1	no	—
321	C₃²	—	129	1	no	—
322	C₃²	—	129	1	no	—
323	C₃²	—	129	1	no	—
324	C₃²	—	129	1	no	—
325	C₃²	—	129	1	no	—
326	C₃²	—	129	1	no	—
327	C₃²	—	129	1	no	—
328	C₃²	—	129	1	no	—
329	C₃²	—	129	1	no	—
330	C₃²	—	129	1	no	—
331	C₃²	—	129	1	no	—
332	C₃²	—	129	1	no	—
333	C₃²	—	387	9	no	—
334	C₃²	C₃³×C₄₃⋊C₃	1	1	yes	characteristic
335	C₉	—	3	2	no	—
336	C₉	—	3	1	no	—
337	C₉	—	3	2	no	—
338	C₉	—	3	1	no	—
339	C₉	—	3	2	no	—
340	C₉	—	3	1	no	—
341	C₉	—	3	2	no	—
342	C₉	—	3	1	no	—
343	C₉	—	129	2	no	—
344	C₉	—	129	2	no	—
345	C₉	—	129	2	no	—
346	C₉	—	129	2	no	—
347	C₉	—	129	2	no	—
348	C₉	—	129	2	no	—
349	C₉	—	129	2	no	—
350	C₉	—	129	2	no	—
351	C₉	—	129	2	no	—
352	C₉	—	129	2	no	—
353	C₉	—	129	2	no	—
354	C₉	—	129	2	no	—
355	C₃	—	9	1	no	—
356	C₃	—	387	1	no	—
357	C₃	—	387	1	no	—
358	C₃	—	387	1	no	—
359	C₃	#23782921	1	1	yes	characteristic
360	C₃	#23782921	1	1	yes	characteristic
361	C₃	#23782922	1	1	yes	characteristic
362	C₃	#23782922	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₃²	C₃³×C₄₃⋊C₃
commutator, socle, cosocle	C₃²×C₄₃	C₃⁴
Fitting	C₄₃×#6897	C₃
prime radical	C₃³×C₄₃⋊C₃	C₃²
hypercenter	#6897	C₄₃⋊C₃
hypocenter	C₄₃	#10624911
LCS	G ▷ C₃²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₃² ◁ #6897

Complements

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

N	H ≅ G/N	type
1. #23782844	C₃	semidirect
2. #23782843	C₃	semidirect
3. #23782842	C₃	semidirect
4. #23782842	C₃	semidirect
5. #23782842	C₃	semidirect
6. #23782841	C₃	semidirect
7. #23782841	C₃	semidirect
8. #23782841	C₃	semidirect
9. #23782840	C₃	semidirect
10. #23782839	C₃	semidirect
11. #23782829	C₃	semidirect
12. #23782829	C₃	semidirect
13. #23782829	C₃	semidirect
14. #23782829	C₃	semidirect
15. #23782828	C₃	semidirect
16. #23782827	C₃	semidirect
17. #23782826	C₃	semidirect
18. #23782826	C₃	semidirect
19. #23782825	C₃	semidirect
24. C₄₃×#6897	C₃	semidirect
34. #16812500	C₃²	semidirect
35. #16812500	C₃²	semidirect
36. #16812500	C₃²	semidirect
37. #16812500	C₃²	semidirect
38. #16812499	C₃²	semidirect
39. #16812499	C₃²	semidirect
40. #16812499	C₃²	semidirect
41. #16812499	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
58. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
59. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
60. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
61. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
62. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
63. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
64. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
65. (C₄₃⋊C₉)⋊C₉	C₃²	semidirect
86. C₉×C₄₃⋊C₉	C₃²	semidirect
87. C₉×C₄₃⋊C₉	C₃²	semidirect
88. C₉×C₄₃⋊C₉	C₃²	semidirect
89. C₉×C₄₃⋊C₉	C₃²	semidirect
90. C₄₃×C₉⋊C₉	C₃²	semidirect
91. C₄₃×C₉⋊C₉	C₃²	semidirect
92. C₄₃×C₉⋊C₉	C₃²	semidirect
93. C₄₃×C₉⋊C₉	C₃²	semidirect
98. C₉²×C₄₃	C₃²	semidirect
188. #6897	C₄₃⋊C₃	semidirect
247. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
248. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
249. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
250. C₉⋊C₉	C₃×C₄₃⋊C₃	semidirect
279. C₉²	C₃×C₄₃⋊C₃	semidirect
280. C₄₃	#10624911	semidirect

Maximal subgroups

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

subgroup	index
#23782844	3
#23782843	3
#23782842	3
#23782841	3
#23782840	3
#23782839	3
#23782829	3
#23782828	3
#23782827	3
#23782826	3
#23782825	3
#23782797	3
#23782796	3
C₄₃×#6897	3
#10624911	43