Subgroups — #41007668

Order 26973.

716 conjugacy classes of subgroups.

The subgroup lattice has 378 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×C₃₇⋊C₃	C₃	1	1	yes	maximal, characteristic
2	#22582584	C₃	1	2	yes	maximal, complemented
3	#22582584	C₃	1	2	yes	maximal, complemented
4	#22582583	C₃	1	2	yes	maximal, complemented
5	#22582583	C₃	1	2	yes	maximal, complemented
6	#22582582	C₃	1	2	yes	maximal, complemented
7	#22582582	C₃	1	2	yes	maximal, complemented
8	#22582582	C₃	1	2	yes	maximal, complemented
9	#22582582	C₃	1	2	yes	maximal, complemented
10	#22582581	C₃	1	1	yes	maximal, characteristic, complemented
11	#22582581	C₃	1	1	yes	maximal, characteristic, complemented
12	#22582580	C₃	1	2	yes	maximal, complemented
13	#22582580	C₃	1	2	yes	maximal, complemented
14	#22582579	C₃	1	2	yes	maximal, complemented
15	#22582579	C₃	1	2	yes	maximal, complemented
16	#22582577	C₃	1	2	yes	maximal, complemented
17	#22582577	C₃	1	2	yes	maximal, complemented
18	#22582577	C₃	1	2	yes	maximal, complemented
19	#22582553	C₃	1	1	yes	maximal, characteristic
20	#22582552	C₃	1	1	yes	maximal, characteristic
21	#22582551	C₃	1	1	yes	maximal, characteristic
22	#22582537	C₃	1	2	yes	maximal, complemented
23	#22582536	C₃	1	1	yes	maximal, characteristic, complemented
24	C₃₇×#6896	C₃	1	1	yes	maximal, characteristic, complemented
25	C₃³×C₃₇⋊C₃	C₃²	1	1	yes	characteristic
26	C₃×#11758608	C₃²	1	2	yes	—
27	C₃×#11758608	C₃²	1	2	yes	—
28	C₃×#11758605	C₃²	1	1	yes	characteristic
29	C₃×#11758605	C₃²	1	2	yes	—
30	C₃×#11758605	C₃²	1	1	yes	characteristic
31	C₃×#11758605	C₃²	1	2	yes	—
32	C₃×#11758606	C₃²	1	1	yes	characteristic
33	C₃×#11758606	C₃²	1	2	yes	—
34	C₃×#11758606	C₃²	1	1	yes	characteristic
35	C₃×#11758606	C₃²	1	2	yes	—
36	3₋¹⁺²×C₃₇⋊C₃	—	3	9	no	—
37	C₃×C₉×C₃₇⋊C₃	C₃²	1	2	yes	—
38	C₃×C₉×C₃₇⋊C₃	C₃²	1	1	yes	characteristic
39	#15688506	C₃²	1	2	yes	complemented
40	#15688506	C₃²	1	2	yes	complemented
41	#15688506	C₃²	1	2	yes	complemented
42	#15688506	C₃²	1	2	yes	complemented
43	#15688505	C₃²	1	2	yes	complemented
44	#15688505	C₃²	1	2	yes	complemented
45	#15688505	C₃²	1	2	yes	complemented
46	#15688505	C₃²	1	2	yes	complemented
47	#15688504	C₃²	1	2	yes	complemented
48	#15688504	C₃²	1	2	yes	complemented
49	#15688504	C₃²	1	2	yes	complemented
50	#15688504	C₃²	1	2	yes	complemented
51	#15688504	C₃²	1	2	yes	complemented
52	#15688504	C₃²	1	2	yes	complemented
53	#15688504	C₃²	1	2	yes	complemented
54	#15688504	C₃²	1	2	yes	complemented
55	#15688504	C₃²	1	2	yes	complemented
56	#15688504	C₃²	1	2	yes	complemented
57	#15688504	C₃²	1	2	yes	complemented
58	#15688504	C₃²	1	2	yes	complemented
59	#15688504	C₃²	1	2	yes	complemented
60	#15688504	C₃²	1	2	yes	complemented
61	#15688504	C₃²	1	2	yes	complemented
62	#15688504	C₃²	1	2	yes	complemented
63	#15688504	C₃²	1	2	yes	complemented
64	#15688504	C₃²	1	2	yes	complemented
65	#15688504	C₃²	1	2	yes	complemented
66	#15688504	C₃²	1	2	yes	complemented
67	#15688504	C₃²	1	2	yes	complemented
68	#15688504	C₃²	1	2	yes	complemented
69	#15688504	C₃²	1	2	yes	complemented
70	#15688504	C₃²	1	2	yes	complemented
71	C₃²⋊#66524	C₃²	1	2	yes	—
72	C₃²⋊#66524	C₃²	1	2	yes	—
73	#15688502	C₃²	1	1	yes	characteristic
74	#15688502	C₃²	1	1	yes	characteristic
75	#15688502	C₃²	1	1	yes	characteristic
76	#15688502	C₃²	1	2	yes	—
77	#15688502	C₃²	1	2	yes	—
78	#15688502	C₃²	1	2	yes	—
79	#15688502	C₃²	1	1	yes	characteristic
80	#15688502	C₃²	1	1	yes	characteristic
81	#15688502	C₃²	1	2	yes	—
82	#15688502	C₃²	1	2	yes	—
83	#15688502	C₃²	1	1	yes	characteristic
84	#15688502	C₃²	1	2	yes	—
85	#15688502	C₃²	1	1	yes	characteristic
86	#15688502	C₃²	1	2	yes	—
87	C₉×#66524	C₃²	1	2	yes	complemented
88	C₉×#66524	C₃²	1	2	yes	complemented
89	C₉×#66524	C₃²	1	2	yes	complemented
90	C₉×#66524	C₃²	1	2	yes	complemented
91	C₃×3₋¹⁺²×C₃₇	C₃²	1	1	yes	characteristic
92	C₃×3₋¹⁺²×C₃₇	C₃²	1	1	yes	characteristic
93	C₃₇×C₉⋊C₉	C₃²	1	2	yes	complemented
94	C₃₇×C₉⋊C₉	C₃²	1	2	yes	complemented
95	C₃₇×C₉⋊C₉	C₃²	1	2	yes	complemented
96	C₃₇×C₉⋊C₉	C₃²	1	2	yes	complemented
97	C₃₇×C₃²⋊C₉	C₃²	1	1	yes	characteristic
98	C₃₇×C₃²⋊C₉	C₃²	1	1	yes	characteristic
99	C₉²×C₃₇	C₃²	1	1	yes	characteristic, complemented
100	C₃³×C₃₇	C₃³	1	1	yes	characteristic
101	C₃²×C₃₇⋊C₃	—	3	3	no	—
102	C₃²×C₃₇⋊C₃	—	9	1	no	—
103	C₃²×C₃₇⋊C₃	—	9	1	no	—
104	C₃²×C₃₇⋊C₃	—	9	1	no	—
105	C₃²×C₃₇⋊C₃	C₃³	1	1	yes	characteristic
106	C₃²×C₃₇⋊C₃	C₃³	1	1	yes	characteristic
107	C₃²×C₃₇⋊C₃	C₃³	1	1	yes	characteristic
108	3₋¹⁺²×C₃₇	—	3	3	no	—
109	3₋¹⁺²×C₃₇	—	9	1	no	—
110	C₃×C₉×C₃₇	C₃³	1	1	yes	characteristic
111	C₃×C₉×C₃₇	C₃³	1	1	yes	characteristic
112	C₃×C₉×C₃₇	C₃³	1	1	yes	characteristic
113	C₃×C₉×C₃₇	C₃³	1	2	yes	—
114	C₃×C₉×C₃₇	C₃³	1	2	yes	—
115	C₃×C₉×C₃₇	C₃³	1	2	yes	—
116	C₃×C₉×C₃₇	C₃³	1	2	yes	—
117	C₃×C₉×C₃₇	C₃³	1	1	yes	characteristic
118	#11758608	—	3	6	no	—
119	#11758608	—	9	2	no	—
120	C₃×#66524	C₃³	1	2	yes	—
121	C₃×#66524	C₃³	1	2	yes	—
122	C₃×#66524	C₃³	1	2	yes	—
123	C₃×#66524	C₃³	1	2	yes	—
124	C₃×#66524	C₃³	1	2	yes	—
125	C₃×#66524	C₃³	1	2	yes	—
126	C₃×#66524	C₃³	1	2	yes	—
127	C₃×#66524	C₃³	1	2	yes	—
128	C₃×#66524	C₃³	1	2	yes	—
129	C₃×#66524	C₃³	1	2	yes	—
130	C₃×#66524	C₃³	1	2	yes	—
131	C₃×#66524	C₃³	1	2	yes	—
132	#11758606	—	3	3	no	—
133	#11758606	—	3	6	no	—
134	#11758606	—	9	1	no	—
135	#11758606	—	9	2	no	—
136	#11758605	—	3	3	no	—
137	#11758605	—	3	6	no	—
138	#11758605	—	9	1	no	—
139	#11758605	—	9	2	no	—
140	C₉×C₃₇⋊C₃	—	3	6	no	—
141	C₉×C₃₇⋊C₃	3₋¹⁺²	1	9	yes	complemented
142	#10624885	—	37	1	no	maximal, Sylow
143	C₃²×C₃₇	—	3	1	no	—
144	C₃²×C₃₇	—	3	1	no	—
145	C₃²×C₃₇	—	3	1	no	—
146	C₃²×C₃₇	—	3	1	no	—
147	C₃²×C₃₇	C₃⁴	1	1	yes	characteristic
148	C₃×C₃₇⋊C₃	—	3	1	no	—
149	C₃×C₃₇⋊C₃	—	3	1	no	—
150	C₃×C₃₇⋊C₃	—	3	1	no	—
151	C₃×C₃₇⋊C₃	—	3	1	no	—
152	C₃×C₃₇⋊C₃	—	3	1	no	—
153	C₃×C₃₇⋊C₃	—	3	1	no	—
154	C₃×C₃₇⋊C₃	—	3	1	no	—
155	C₃×C₃₇⋊C₃	—	3	1	no	—
156	C₃×C₃₇⋊C₃	—	3	1	no	—
157	C₃×C₃₇⋊C₃	—	3	1	no	—
158	C₃×C₃₇⋊C₃	—	3	1	no	—
159	C₃×C₃₇⋊C₃	—	9	9	no	—
160	C₃×C₃₇⋊C₃	C₃×3₋¹⁺²	1	3	yes	—
161	C₉×C₃₇	—	3	2	no	—
162	C₉×C₃₇	—	3	1	no	—
163	C₉×C₃₇	—	3	2	no	—
164	C₉×C₃₇	—	3	1	no	—
165	C₉×C₃₇	—	3	2	no	—
166	C₉×C₃₇	—	3	1	no	—
167	C₉×C₃₇	—	3	2	no	—
168	C₉×C₃₇	C₃×3₋¹⁺²	1	3	yes	—
169	#66524	—	3	2	no	—
170	#66524	—	3	2	no	—
171	#66524	—	3	2	no	—
172	#66524	—	3	2	no	—
173	#66524	—	3	2	no	—
174	#66524	—	3	2	no	—
175	#66524	—	3	2	no	—
176	#66524	—	3	2	no	—
177	#66524	—	3	2	no	—
178	#66524	—	3	2	no	—
179	#66524	—	3	2	no	—
180	#66524	C₃×3₋¹⁺²	1	6	yes	—
181	C₃²×3₋¹⁺²	—	37	1	no	—
182	#6896	—	37	2	no	—
183	#6896	—	37	2	no	—
184	#6896	—	37	2	no	—
185	#6896	—	37	2	no	—
186	#6896	—	37	2	no	—
187	#6896	—	37	2	no	—
188	#6896	—	37	2	no	—
189	#6896	—	37	2	no	—
190	#6896	—	37	2	no	—
191	#6896	—	37	2	no	—
192	#6896	—	37	2	no	—
193	#6896	—	37	2	no	—
194	#6896	—	37	1	no	—
195	#6896	—	37	1	no	—
196	#6896	C₃₇⋊C₃	1	1	yes	characteristic, complemented
197	#6895	—	37	2	no	—
198	#6895	—	37	2	no	—
199	#6895	—	37	2	no	—
200	#6891	—	37	1	no	—
201	#6891	—	37	1	no	—
202	#6891	—	37	1	no	—
203	#6887	—	37	2	no	—
204	#6887	—	37	1	no	—
205	C₃×C₃₇	—	9	1	no	—
206	C₃×C₃₇	C₃²×3₋¹⁺²	1	1	yes	characteristic
207	C₃×C₃₇	3₋¹⁺⁴	1	1	yes	characteristic
208	C₃×C₃₇	3₋¹⁺⁴	1	1	yes	characteristic
209	C₃×C₃₇	3₋¹⁺⁴	1	1	yes	characteristic
210	C₃₇⋊C₃	—	3	3	no	—
211	C₃₇⋊C₃	—	9	1	no	—
212	C₃₇⋊C₃	—	9	1	no	—
213	C₃⁴	—	37	1	no	—
214	C₃×3₋¹⁺²	—	37	2	no	—
215	C₃×3₋¹⁺²	—	37	2	no	—
216	C₃×3₋¹⁺²	—	37	2	no	—
217	C₃×3₋¹⁺²	—	37	1	no	—
218	C₃×3₋¹⁺²	—	37	2	no	—
219	C₃×3₋¹⁺²	—	37	1	no	—
220	C₃×3₋¹⁺²	—	37	2	no	—
221	C₃×3₋¹⁺²	—	37	1	no	—
222	C₃×3₋¹⁺²	—	37	2	no	—
223	C₃×3₋¹⁺²	—	37	1	no	—
224	C₃×3₋¹⁺²	—	111	9	no	—
225	C₃×3₋¹⁺²	C₃×C₃₇⋊C₃	1	1	yes	characteristic
226	C₃×3₋¹⁺²	C₃×C₃₇⋊C₃	1	1	yes	characteristic
227	C₃²×C₉	—	37	1	no	—
228	C₃²×C₉	—	37	2	no	—
229	C₉⋊C₉	—	37	2	no	—
230	C₉⋊C₉	—	37	2	no	—
231	C₉⋊C₉	—	37	2	no	—
232	C₉⋊C₉	—	37	2	no	—
233	C₉⋊C₉	—	37	2	no	—
234	C₉⋊C₉	—	37	2	no	—
235	C₉⋊C₉	—	37	2	no	—
236	C₉⋊C₉	—	37	2	no	—
237	C₉⋊C₉	—	37	2	no	—
238	C₉⋊C₉	—	37	2	no	—
239	C₉⋊C₉	—	37	2	no	—
240	C₉⋊C₉	—	37	2	no	—
241	C₉⋊C₉	—	37	2	no	—
242	C₉⋊C₉	—	37	2	no	—
243	C₉⋊C₉	—	37	2	no	—
244	C₉⋊C₉	—	37	2	no	—
245	C₉⋊C₉	—	37	2	no	—
246	C₉⋊C₉	—	37	2	no	—
247	C₉⋊C₉	—	37	2	no	—
248	C₉⋊C₉	—	37	2	no	—
249	C₉⋊C₉	—	37	2	no	—
250	C₉⋊C₉	—	37	2	no	—
251	C₉⋊C₉	—	37	2	no	—
252	C₉⋊C₉	—	37	2	no	—
253	C₉⋊C₉	—	37	2	no	—
254	C₉⋊C₉	—	37	2	no	—
255	C₉⋊C₉	—	37	2	no	—
256	C₉⋊C₉	—	37	2	no	—
257	C₉⋊C₉	—	37	2	no	—
258	C₉⋊C₉	—	37	2	no	—
259	C₉⋊C₉	—	37	2	no	—
260	C₉⋊C₉	—	37	2	no	—
261	C₉⋊C₉	C₃×C₃₇⋊C₃	1	2	yes	complemented
262	C₉⋊C₉	C₃×C₃₇⋊C₃	1	2	yes	complemented
263	C₉⋊C₉	C₃×C₃₇⋊C₃	1	2	yes	complemented
264	C₉⋊C₉	C₃×C₃₇⋊C₃	1	2	yes	complemented
265	C₃²⋊C₉	—	37	2	no	—
266	C₃²⋊C₉	—	37	2	no	—
267	C₃²⋊C₉	—	37	2	no	—
268	C₃²⋊C₉	—	37	2	no	—
269	C₃²⋊C₉	—	37	2	no	—
270	C₃²⋊C₉	—	37	1	no	—
271	C₃²⋊C₉	—	37	1	no	—
272	C₃²⋊C₉	—	37	1	no	—
273	C₃²⋊C₉	—	37	2	no	—
274	C₃²⋊C₉	—	37	2	no	—
275	C₃²⋊C₉	—	37	2	no	—
276	C₃²⋊C₉	—	37	2	no	—
277	C₃²⋊C₉	—	37	1	no	—
278	C₃²⋊C₉	—	37	1	no	—
279	C₃²⋊C₉	—	37	1	no	—
280	C₃²⋊C₉	—	37	1	no	—
281	C₃²⋊C₉	C₃×C₃₇⋊C₃	1	1	yes	characteristic
282	C₃²⋊C₉	C₃×C₃₇⋊C₃	1	1	yes	characteristic
283	C₉²	—	37	2	no	—
284	C₉²	—	37	2	no	—
285	C₉²	—	37	2	no	—
286	C₉²	—	37	2	no	—
287	C₉²	C₃×C₃₇⋊C₃	1	1	yes	characteristic, complemented
288	C₃₇	#10624885	1	1	yes	characteristic, complemented, Sylow
289	C₃³	—	37	1	no	—
290	C₃³	—	37	1	no	—
291	C₃³	—	37	1	no	—
292	C₃³	—	333	1	no	—
293	C₃³	—	333	1	no	—
294	C₃³	—	333	1	no	—
295	C₃³	—	111	3	no	—
296	C₃³	C₃²×C₃₇⋊C₃	1	1	yes	characteristic
297	3₋¹⁺²	—	3	3	no	—
298	3₋¹⁺²	—	9	1	no	—
299	3₋¹⁺²	—	333	2	no	—
300	3₋¹⁺²	—	333	1	no	—
301	3₋¹⁺²	—	333	2	no	—
302	3₋¹⁺²	—	333	1	no	—
303	3₋¹⁺²	—	333	2	no	—
304	3₋¹⁺²	—	111	6	no	—
305	3₋¹⁺²	—	111	6	no	—
306	3₋¹⁺²	—	111	6	no	—
307	3₋¹⁺²	—	111	3	no	—
308	3₋¹⁺²	—	111	3	no	—
309	C₃×C₉	—	37	2	no	—
310	C₃×C₉	—	37	9	no	—
311	C₃×C₉	—	37	2	no	—
312	C₃×C₉	—	37	2	no	—
313	C₃×C₉	—	37	2	no	—
314	C₃×C₉	—	37	2	no	—
315	C₃×C₉	—	37	2	no	—
316	C₃×C₉	—	37	2	no	—
317	C₃×C₉	—	37	2	no	—
318	C₃×C₉	—	37	2	no	—
319	C₃×C₉	—	37	2	no	—
320	C₃×C₉	—	37	2	no	—
321	C₃×C₉	—	37	2	no	—
322	C₃×C₉	—	111	6	no	—
323	C₃×C₉	C₃²×C₃₇⋊C₃	1	2	yes	—
324	C₃×C₉	C₃²×C₃₇⋊C₃	1	2	yes	—
325	C₃×C₉	C₃²×C₃₇⋊C₃	1	2	yes	—
326	C₃×C₉	C₃²×C₃₇⋊C₃	1	1	yes	characteristic
327	C₃×C₉	C₃²×C₃₇⋊C₃	1	1	yes	characteristic
328	C₃×C₉	C₃²×C₃₇⋊C₃	1	1	yes	characteristic
329	C₃×C₉	C₃²×C₃₇⋊C₃	1	2	yes	—
330	C₃×C₉	C₃²×C₃₇⋊C₃	1	1	yes	characteristic
331	C₃²	—	3	1	no	—
332	C₃²	—	3	1	no	—
333	C₃²	—	3	1	no	—
334	C₃²	—	3	1	no	—
335	C₃²	—	37	3	no	—
336	C₃²	—	333	9	no	—
337	C₃²	—	111	1	no	—
338	C₃²	—	111	1	no	—
339	C₃²	—	111	1	no	—
340	C₃²	—	111	1	no	—
341	C₃²	—	111	1	no	—
342	C₃²	—	111	1	no	—
343	C₃²	—	111	1	no	—
344	C₃²	—	111	1	no	—
345	C₃²	—	111	1	no	—
346	C₃²	—	111	1	no	—
347	C₃²	—	111	1	no	—
348	C₃²	C₃³×C₃₇⋊C₃	1	1	yes	characteristic
349	C₉	—	3	2	no	—
350	C₉	—	3	2	no	—
351	C₉	—	3	1	no	—
352	C₉	—	3	2	no	—
353	C₉	—	3	1	no	—
354	C₉	—	3	2	no	—
355	C₉	—	3	1	no	—
356	C₉	—	37	6	no	—
357	C₉	—	111	2	no	—
358	C₉	—	111	2	no	—
359	C₉	—	111	2	no	—
360	C₉	—	111	2	no	—
361	C₉	—	111	2	no	—
362	C₉	—	111	2	no	—
363	C₉	—	111	2	no	—
364	C₉	—	111	2	no	—
365	C₉	—	111	2	no	—
366	C₉	—	111	2	no	—
367	C₉	—	111	2	no	—
368	C₉	3₋¹⁺²×C₃₇⋊C₃	1	3	yes	—
369	C₃	—	9	1	no	—
370	C₃	—	333	1	no	—
371	C₃	—	333	1	no	—
372	C₃	—	111	3	no	—
373	C₃	C₃×3₋¹⁺²×C₃₇⋊C₃	1	1	yes	characteristic
374	C₃	#22582677	1	1	yes	characteristic
375	C₃	#22582678	1	1	yes	characteristic
376	C₃	#22582679	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₃²	C₃³×C₃₇⋊C₃
commutator, socle, cosocle	C₃²×C₃₇	C₃⁴
Fitting	C₃₇×#6896	C₃
prime radical	C₃³×C₃₇⋊C₃	C₃²
hypercenter	#6896	C₃₇⋊C₃
hypocenter	C₃₇	#10624885
LCS	G ▷ C₃²×C₃₇ ▷ C₃₇
UCS	C₁ ◁ C₃² ◁ #6896

Complements

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

N	H ≅ G/N	type
2. #22582584	C₃	semidirect
3. #22582584	C₃	semidirect
4. #22582583	C₃	semidirect
5. #22582583	C₃	semidirect
6. #22582582	C₃	semidirect
7. #22582582	C₃	semidirect
8. #22582582	C₃	semidirect
9. #22582582	C₃	semidirect
10. #22582581	C₃	semidirect
11. #22582581	C₃	semidirect
12. #22582580	C₃	semidirect
13. #22582580	C₃	semidirect
14. #22582579	C₃	semidirect
15. #22582579	C₃	semidirect
16. #22582577	C₃	semidirect
17. #22582577	C₃	semidirect
18. #22582577	C₃	semidirect
22. #22582537	C₃	semidirect
23. #22582536	C₃	semidirect
24. C₃₇×#6896	C₃	semidirect
39. #15688506	C₃²	semidirect
40. #15688506	C₃²	semidirect
41. #15688506	C₃²	semidirect
42. #15688506	C₃²	semidirect
43. #15688505	C₃²	semidirect
44. #15688505	C₃²	semidirect
45. #15688505	C₃²	semidirect
46. #15688505	C₃²	semidirect
47. #15688504	C₃²	semidirect
48. #15688504	C₃²	semidirect
49. #15688504	C₃²	semidirect
50. #15688504	C₃²	semidirect
51. #15688504	C₃²	semidirect
52. #15688504	C₃²	semidirect
53. #15688504	C₃²	semidirect
54. #15688504	C₃²	semidirect
55. #15688504	C₃²	semidirect
56. #15688504	C₃²	semidirect
57. #15688504	C₃²	semidirect
58. #15688504	C₃²	semidirect
59. #15688504	C₃²	semidirect
60. #15688504	C₃²	semidirect
61. #15688504	C₃²	semidirect
62. #15688504	C₃²	semidirect
63. #15688504	C₃²	semidirect
64. #15688504	C₃²	semidirect
65. #15688504	C₃²	semidirect
66. #15688504	C₃²	semidirect
67. #15688504	C₃²	semidirect
68. #15688504	C₃²	semidirect
69. #15688504	C₃²	semidirect
70. #15688504	C₃²	semidirect
87. C₉×#66524	C₃²	semidirect
88. C₉×#66524	C₃²	semidirect
89. C₉×#66524	C₃²	semidirect
90. C₉×#66524	C₃²	semidirect
93. C₃₇×C₉⋊C₉	C₃²	semidirect
94. C₃₇×C₉⋊C₉	C₃²	semidirect
95. C₃₇×C₉⋊C₉	C₃²	semidirect
96. C₃₇×C₉⋊C₉	C₃²	semidirect
99. C₉²×C₃₇	C₃²	semidirect
141. C₉×C₃₇⋊C₃	3₋¹⁺²	semidirect
196. #6896	C₃₇⋊C₃	semidirect
261. C₉⋊C₉	C₃×C₃₇⋊C₃	semidirect
262. C₉⋊C₉	C₃×C₃₇⋊C₃	semidirect
263. C₉⋊C₉	C₃×C₃₇⋊C₃	semidirect
264. C₉⋊C₉	C₃×C₃₇⋊C₃	semidirect
287. C₉²	C₃×C₃₇⋊C₃	semidirect
288. C₃₇	#10624885	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×C₃₇⋊C₃	3
#22582584	3
#22582583	3
#22582582	3
#22582581	3
#22582580	3
#22582579	3
#22582577	3
#22582553	3
#22582552	3
#22582551	3
#22582537	3
#22582536	3
C₃₇×#6896	3
#10624885	37