Subgroups — #11861139

Order 1152.

687 conjugacy classes of subgroups.

The subgroup lattice has 417 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10589870	C₂	1	1	yes	maximal, characteristic
2	#10589852	C₂	1	2	yes	maximal, complemented
3	C₉×#444	C₂	1	1	yes	maximal, characteristic, complemented
4	#10588876	C₂	1	1	yes	maximal, characteristic, complemented
5	#10588824	C₂	1	2	yes	maximal, complemented
6	#10588575	C₂	1	1	yes	maximal, characteristic, complemented
7	#10588573	C₂	1	1	yes	maximal, characteristic, complemented
8	#10588503	C₂	1	2	yes	maximal, complemented
9	D₉×#104	C₂	1	2	yes	maximal, complemented
10	#10588397	C₂	1	1	yes	maximal, characteristic, complemented
11	#10588388	C₂	1	1	yes	maximal, characteristic, complemented
12	#79898	—	3	1	no	maximal
13	#41×D₉	C₂²	1	2	yes	—
14	C₉×#135	C₂²	1	1	yes	characteristic
15	C₉×#131	C₂²	1	2	yes	complemented
16	#63513	C₂²	1	2	yes	—
17	#63510	C₂²	1	2	yes	complemented
18	#63480	C₄	1	2	yes	complemented
19	#63477	C₄	1	2	yes	complemented
20	#63476	C₄	1	2	yes	complemented
21	#63473	C₄	1	2	yes	complemented
22	#63469	—	2	2	no	—
23	#63469	C₂²	1	2	yes	complemented
24	M₁₆×D₉	—	2	2	no	—
25	M₁₆×D₉	C₂²	1	2	yes	—
26	#63467	C₂²	1	1	yes	characteristic
27	#63464	—	2	2	no	—
28	#63464	C₂²	1	2	yes	complemented
29	C₂×#3663	—	2	2	no	—
30	C₂×#3663	C₂²	1	1	yes	characteristic
31	C₂×#3663	C₂²	1	1	yes	characteristic
32	C₄²×D₉	C₂²	1	1	yes	characteristic
33	C₉×#108	C₂²	1	1	yes	characteristic, complemented
34	C₉×#104	C₂²	1	2	yes	complemented
35	C₉×#97	C₂²	1	1	yes	characteristic, complemented
36	#63396	C₂²	1	2	yes	complemented
37	#63384	C₂²	1	2	yes	complemented
38	#63381	C₂²	1	2	yes	complemented
39	C₈×Dic₉	C₂²	1	1	yes	characteristic, complemented
40	C₈×Dic₉	C₂²	1	1	yes	characteristic, complemented
41	#63372	C₂²	1	1	yes	characteristic, complemented
42	#63364	C₂²	1	2	yes	complemented
43	#63362	C₂²	1	1	yes	characteristic, complemented
44	#5768	—	3	1	no	—
45	#5750	—	3	2	no	—
46	C₃×#444	D₃	1	1	yes	characteristic
47	#5196	—	3	1	no	—
48	#5144	—	3	2	no	—
49	#4895	—	3	1	no	—
50	#4893	—	3	1	no	—
51	#4823	—	3	2	no	—
52	D₃×#104	—	3	2	no	—
53	#4717	—	3	1	no	—
54	#4707	—	3	1	no	—
55	C₉×#41	C₂³	1	2	yes	—
56	#3701	C₂×C₄	1	2	yes	—
57	Q₈×D₉	C₂×C₄	1	2	yes	—
58	#3699	—	2	2	no	—
59	#3699	C₂×C₄	1	2	yes	—
60	D₄×D₉	—	2	2	no	—
61	D₄×D₉	C₂×C₄	1	2	yes	—
62	#3697	—	2	2	no	—
63	#3697	C₂³	1	2	yes	—
64	C₂×C₄×D₉	—	2	2	no	—
65	C₂×C₄×D₉	—	2	1	no	—
66	C₂×C₄×D₉	C₂³	1	1	yes	characteristic
67	C₉×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
68	C₉×SD₁₆	C₂×C₄	1	2	yes	complemented
69	C₉×D₈	C₂×C₄	1	1	yes	characteristic, complemented
70	C₉×M₁₆	—	2	2	no	—
71	C₉×M₁₆	C₂³	1	2	yes	—
72	C₂×C₈×C₉	—	2	2	no	—
73	C₂×C₈×C₉	C₂³	1	1	yes	characteristic
74	C₂×C₈×C₉	C₂³	1	1	yes	characteristic
75	C₄²×C₉	C₂³	1	1	yes	characteristic
76	#3675	C₂×C₄	1	2	yes	complemented
77	#3674	C₂×C₄	1	2	yes	complemented
78	#3673	C₂×C₄	1	2	yes	complemented
79	#3672	C₂×C₄	1	2	yes	complemented
80	C₄×Dic₉	—	2	1	no	—
81	C₄×Dic₉	C₂³	1	1	yes	characteristic
82	#3667	—	2	2	no	—
83	#3667	C₂³	1	2	yes	—
84	C₂×C₉⋊C₈	—	2	2	no	—
85	C₂×C₉⋊C₈	C₂³	1	1	yes	characteristic
86	C₂×C₉⋊C₈	C₂³	1	1	yes	characteristic
87	D₇₂	C₂×C₄	1	1	yes	characteristic, complemented
88	#3664	C₂×C₄	1	2	yes	complemented
89	#3663	—	2	2	no	—
90	#3663	—	2	2	no	—
91	#3663	—	2	2	no	—
92	#3663	C₂×C₄	1	2	yes	—
93	#3663	C₂×C₄	1	2	yes	—
94	#3663	D₄	1	2	yes	—
95	#3663	D₄	1	2	yes	—
96	C₈×D₉	—	2	2	no	—
97	C₈×D₉	—	2	2	no	—
98	C₈×D₉	—	2	2	no	—
99	Dic₃₆	C₂×C₄	1	1	yes	characteristic, complemented
100	#2956	—	9	1	no	Sylow
101	D₃×#41	—	3	2	no	—
102	C₃×#135	C₂×D₃	1	1	yes	characteristic
103	C₃×#131	C₂×D₃	1	2	yes	—
104	#950	—	3	2	no	—
105	#948	—	3	2	no	—
106	#918	—	3	2	no	—
107	#915	—	3	2	no	—
108	#914	—	3	2	no	—
109	#911	—	3	2	no	—
110	#907	—	3	2	no	—
111	#907	—	6	2	no	—
112	D₃×M₁₆	—	3	2	no	—
113	D₃×M₁₆	—	6	2	no	—
114	#904	—	3	1	no	—
115	#901	—	3	2	no	—
116	#901	—	6	2	no	—
117	C₂×ΓL(1,𝔽₂₅)	—	3	1	no	—
118	C₂×ΓL(1,𝔽₂₅)	—	3	1	no	—
119	C₂×ΓL(1,𝔽₂₅)	—	6	2	no	—
120	C₄²×D₃	—	3	1	no	—
121	C₃×#108	C₂×D₃	1	1	yes	characteristic
122	C₃×#104	C₂×D₃	1	2	yes	—
123	C₃×#97	C₂×D₃	1	1	yes	characteristic
124	#837	—	3	2	no	—
125	#825	—	3	2	no	—
126	#822	—	3	2	no	—
127	#819	—	3	1	no	—
128	C₈×Dic₃	—	3	1	no	—
129	C₈×Dic₃	—	3	1	no	—
130	#805	—	3	2	no	—
131	#803	—	3	1	no	—
132	C₂²×D₉	—	2	2	no	—
133	C₂²×D₉	#41	1	1	yes	characteristic
134	Q₈×C₉	C₂²×C₄	1	2	yes	—
135	D₄×C₉	—	2	2	no	—
136	D₄×C₉	C₂²×C₄	1	2	yes	—
137	C₂×C₄×C₉	—	2	2	no	—
138	C₂×C₄×C₉	—	2	1	no	—
139	C₂×C₄×C₉	C₂⁴	1	1	yes	characteristic
140	#611	—	2	2	no	—
141	#611	—	2	2	no	—
142	#611	—	2	2	no	—
143	C₂×Dic₉	—	2	1	no	—
144	C₂×Dic₉	—	2	2	no	—
145	C₂×Dic₉	#41	1	1	yes	characteristic
146	D₃₆	—	2	2	no	—
147	D₃₆	C₂²×C₄	1	2	yes	—
148	C₄×D₉	—	2	2	no	—
149	C₄×D₉	—	2	2	no	—
150	C₄×D₉	—	2	2	no	—
151	C₄×D₉	—	4	2	no	—
152	C₄×D₉	C₂²×C₄	1	2	yes	—
153	C₄×D₉	C₂×D₄	1	2	yes	—
154	Dic₁₈	—	2	2	no	—
155	Dic₁₈	C₂²×C₄	1	2	yes	—
156	C₈×C₉	—	2	2	no	—
157	C₈×C₉	C₂²×C₄	1	1	yes	characteristic
158	C₈×C₉	C₂²×C₄	1	1	yes	characteristic
159	C₈×C₉	C₂×D₄	1	2	yes	—
160	C₉⋊C₈	—	2	2	no	—
161	C₉⋊C₈	C₂²×C₄	1	2	yes	—
162	C₉⋊C₈	C₂×D₄	1	1	yes	characteristic
163	C₉⋊C₈	C₂×D₄	1	1	yes	characteristic
164	#575	—	9	1	no	—
165	#568	—	9	2	no	—
166	#444	—	9	2	no	—
167	#444	—	9	1	no	—
168	#444	D₉	1	1	yes	characteristic, complemented
169	#443	—	9	1	no	—
170	#443	—	9	2	no	—
171	#443	—	9	1	no	—
172	#430	—	9	1	no	—
173	C₂×#104	—	9	2	no	—
174	C₄×M₁₆	—	9	1	no	—
175	C₃×#41	C₂²×D₃	1	2	yes	—
176	#239	—	3	2	no	—
177	D₃×Q₈	—	3	2	no	—
178	#237	—	3	2	no	—
179	#237	—	6	2	no	—
180	D₃×D₄	—	3	2	no	—
181	D₃×D₄	—	6	2	no	—
182	#235	—	3	2	no	—
183	#235	—	6	2	no	—
184	C₂×C₄×D₃	—	3	1	no	—
185	C₂×C₄×D₃	—	6	2	no	—
186	C₂×C₄×D₃	—	6	1	no	—
187	C₃×Q₁₆	C₄×D₃	1	1	yes	characteristic
188	C₃×SD₁₆	C₄×D₃	1	2	yes	—
189	C₃×D₈	C₄×D₃	1	1	yes	characteristic
190	C₃×M₁₆	—	2	2	no	—
191	C₃×M₁₆	C₂²×D₃	1	2	yes	—
192	C₂×C₃×C₈	—	2	2	no	—
193	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
194	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
195	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
196	#216	—	3	2	no	—
197	#215	—	3	2	no	—
198	#214	—	3	2	no	—
199	#213	—	3	2	no	—
200	C₄×Dic₃	—	3	1	no	—
201	C₄×Dic₃	—	6	1	no	—
202	#208	—	3	2	no	—
203	#208	—	6	2	no	—
204	C₂×C₃⋊C₈	—	3	1	no	—
205	C₂×C₃⋊C₈	—	3	1	no	—
206	C₂×C₃⋊C₈	—	6	2	no	—
207	Dic₁₂	—	3	1	no	—
208	D₂₄	—	3	1	no	—
209	#204	—	3	2	no	—
210	ΓL(1,𝔽₂₅)	—	3	2	no	—
211	ΓL(1,𝔽₂₅)	—	3	2	no	—
212	ΓL(1,𝔽₂₅)	—	3	2	no	—
213	ΓL(1,𝔽₂₅)	—	3	2	no	—
214	ΓL(1,𝔽₂₅)	—	6	2	no	—
215	ΓL(1,𝔽₂₅)	—	6	2	no	—
216	ΓL(1,𝔽₂₅)	—	6	2	no	—
217	D₃×C₈	—	6	2	no	—
218	D₃×C₈	—	6	2	no	—
219	D₃×C₈	—	6	2	no	—
220	C₂²×C₉	—	2	2	no	—
221	C₂²×C₉	C₂×#41	1	1	yes	characteristic
222	C₂×D₉	—	2	2	no	—
223	C₂×D₉	—	4	1	no	—
224	C₂×D₉	—	8	2	no	—
225	C₂×D₉	C₄×D₄	1	2	yes	—
226	C₄×C₉	—	2	2	no	—
227	C₄×C₉	—	4	1	no	—
228	C₄×C₉	C₂³×C₄	1	1	yes	characteristic
229	C₄×C₉	C₂²×D₄	1	1	yes	characteristic
230	Dic₉	—	2	2	no	—
231	Dic₉	—	2	2	no	—
232	Dic₉	C₄×D₄	1	2	yes	—
233	C₂×#41	—	9	2	no	—
234	#137	—	9	2	no	—
235	#137	—	9	2	no	—
236	AGL(1,ℤ/8)	—	9	2	no	—
237	AGL(1,ℤ/8)	—	9	2	no	—
238	#135	—	9	2	no	—
239	#135	—	9	1	no	—
240	#135	C₂×D₉	1	1	yes	characteristic
241	#131	—	9	2	no	—
242	#131	—	9	2	no	—
243	#131	—	9	2	no	—
244	#131	—	18	2	no	—
245	#131	—	18	2	no	—
246	#131	C₂×D₉	1	2	yes	complemented
247	C₂×M₁₆	—	9	1	no	—
248	C₂×M₁₆	—	9	1	no	—
249	C₂×M₁₆	—	9	2	no	—
250	C₂×M₁₆	—	18	2	no	—
251	C₂×M₁₆	—	18	2	no	—
252	C₂×C₄²	—	9	1	no	—
253	#108	—	9	2	no	—
254	#108	—	9	1	no	—
255	#108	C₂×D₉	1	1	yes	characteristic, complemented
256	#104	—	9	2	no	—
257	#104	—	9	2	no	—
258	#104	—	9	2	no	—
259	#104	C₂×D₉	1	2	yes	complemented
260	#97	—	9	1	no	—
261	#97	C₂×D₉	1	1	yes	characteristic, complemented
262	C₄×C₈	—	9	1	no	—
263	C₄×C₈	—	9	1	no	—
264	C₂²×D₃	—	3	1	no	—
265	C₂²×D₃	—	6	2	no	—
266	C₃×Q₈	C₂×C₄×D₃	1	2	yes	—
267	C₃×D₄	—	2	2	no	—
268	C₃×D₄	C₂×C₄×D₃	1	2	yes	—
269	C₂×C₃×C₄	—	2	2	no	—
270	C₂×C₃×C₄	—	2	1	no	—
271	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
272	#67	—	6	2	no	—
273	#67	—	6	2	no	—
274	#67	—	6	2	no	—
275	C₂×Dic₃	—	3	1	no	—
276	C₂×Dic₃	—	6	2	no	—
277	C₂×Dic₃	—	6	1	no	—
278	D₁₂	—	3	2	no	—
279	D₁₂	—	6	2	no	—
280	C₄×D₃	—	3	2	no	—
281	C₄×D₃	—	3	2	no	—
282	C₄×D₃	—	6	2	no	—
283	C₄×D₃	—	6	2	no	—
284	C₄×D₃	—	6	2	no	—
285	C₄×D₃	—	12	2	no	—
286	Dic₆	—	3	2	no	—
287	Dic₆	—	6	2	no	—
288	C₃×C₈	—	2	2	no	—
289	C₃×C₈	C₂×C₄×D₃	1	1	yes	characteristic
290	C₃×C₈	C₂×C₄×D₃	1	1	yes	characteristic
291	C₃×C₈	D₃×D₄	1	2	yes	—
292	C₃⋊C₈	—	3	2	no	—
293	C₃⋊C₈	—	3	1	no	—
294	C₃⋊C₈	—	3	1	no	—
295	C₃⋊C₈	—	6	2	no	—
296	C₂×C₉	—	2	1	no	—
297	C₂×C₉	—	4	2	no	—
298	C₂×C₉	C₂×C₄×D₄	1	1	yes	characteristic
299	D₉	—	2	2	no	—
300	D₉	—	4	2	no	—
301	#41	—	9	2	no	—
302	#41	—	9	2	no	—
303	#41	—	9	2	no	—
304	#41	—	18	2	no	—
305	#41	—	18	2	no	—
306	#41	C₂²×D₉	1	2	yes	—
307	C₂×Q₈	—	9	2	no	—
308	C₂×D₄	—	9	2	no	—
309	C₂×D₄	—	18	2	no	—
310	C₂²×C₄	—	9	1	no	—
311	C₂²×C₄	—	18	2	no	—
312	C₂²×C₄	—	18	1	no	—
313	Q₁₆	—	9	2	no	—
314	Q₁₆	—	9	1	no	—
315	Q₁₆	C₄×D₉	1	1	yes	characteristic, complemented
316	SD₁₆	—	9	2	no	—
317	SD₁₆	—	9	2	no	—
318	SD₁₆	—	9	2	no	—
319	SD₁₆	C₄×D₉	1	2	yes	complemented
320	D₈	—	9	2	no	—
321	D₈	—	9	1	no	—
322	D₈	C₄×D₉	1	1	yes	characteristic, complemented
323	M₁₆	—	2	2	no	—
324	M₁₆	—	9	2	no	—
325	M₁₆	—	9	2	no	—
326	M₁₆	—	9	2	no	—
327	M₁₆	—	9	2	no	—
328	M₁₆	—	9	2	no	—
329	M₁₆	—	18	2	no	—
330	M₁₆	—	18	2	no	—
331	M₁₆	—	18	2	no	—
332	M₁₆	—	18	2	no	—
333	M₁₆	C₂²×D₉	1	2	yes	—
334	C₂×C₈	—	2	2	no	—
335	C₂×C₈	—	9	1	no	—
336	C₂×C₈	—	9	1	no	—
337	C₂×C₈	—	18	2	no	—
338	C₂×C₈	—	18	2	no	—
339	C₂×C₈	—	18	2	no	—
340	C₂×C₈	—	18	2	no	—
341	C₂×C₈	C₂²×D₉	1	1	yes	characteristic
342	C₂×C₈	C₂²×D₉	1	1	yes	characteristic
343	C₄²	—	9	1	no	—
344	C₄²	—	18	1	no	—
345	C₄²	C₂²×D₉	1	1	yes	characteristic
346	C₂²×C₃	—	2	2	no	—
347	C₂²×C₃	D₃×#41	1	1	yes	characteristic
348	C₂×D₃	—	3	2	no	—
349	C₂×D₃	—	6	2	no	—
350	C₂×D₃	—	12	1	no	—
351	C₂×D₃	—	24	2	no	—
352	C₃×C₄	—	2	2	no	—
353	C₃×C₄	—	4	1	no	—
354	C₃×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
355	C₃×C₄	C₂×D₃×D₄	1	1	yes	characteristic
356	Dic₃	—	3	2	no	—
357	Dic₃	—	6	2	no	—
358	Dic₃	—	6	2	no	—
359	C₉	#2956	1	1	yes	characteristic, complemented, Sylow
360	C₂³	—	9	1	no	—
361	C₂³	—	18	2	no	—
362	Q₈	—	9	2	no	—
363	Q₈	—	18	2	no	—
364	Q₈	C₂×C₄×D₉	1	2	yes	—
365	D₄	—	2	2	no	—
366	D₄	—	9	2	no	—
367	D₄	—	18	2	no	—
368	D₄	—	18	2	no	—
369	D₄	—	18	2	no	—
370	D₄	—	18	2	no	—
371	D₄	C₂×C₄×D₉	1	2	yes	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	2	1	no	—
374	C₂×C₄	—	9	1	no	—
375	C₂×C₄	—	9	2	no	—
376	C₂×C₄	—	9	2	no	—
377	C₂×C₄	—	18	2	no	—
378	C₂×C₄	—	18	2	no	—
379	C₂×C₄	—	18	2	no	—
380	C₂×C₄	—	18	1	no	—
381	C₂×C₄	—	18	2	no	—
382	C₂×C₄	—	36	2	no	—
383	C₂×C₄	C₂³×D₉	1	1	yes	characteristic
384	C₈	—	2	2	no	—
385	C₈	—	9	2	no	—
386	C₈	—	9	1	no	—
387	C₈	—	9	1	no	—
388	C₈	—	18	2	no	—
389	C₈	C₂×C₄×D₉	1	1	yes	characteristic
390	C₈	C₂×C₄×D₉	1	1	yes	characteristic
391	C₈	D₄×D₉	1	2	yes	—
392	C₂×C₃	—	2	1	no	—
393	C₂×C₃	—	4	2	no	—
394	C₂×C₃	C₄×D₃×D₄	1	1	yes	characteristic
395	D₃	—	6	2	no	—
396	D₃	—	12	2	no	—
397	C₂²	—	2	2	no	—
398	C₂²	—	9	2	no	—
399	C₂²	—	18	2	no	—
400	C₂²	—	36	1	no	—
401	C₂²	—	72	2	no	—
402	C₂²	#41×D₉	1	1	yes	characteristic
403	C₄	—	2	2	no	—
404	C₄	—	4	1	no	—
405	C₄	—	9	2	no	—
406	C₄	—	18	2	no	—
407	C₄	—	18	2	no	—
408	C₄	C₂²×C₄×D₉	1	1	yes	characteristic
409	C₄	C₂×D₄×D₉	1	1	yes	characteristic
410	C₃	#79898	1	1	yes	characteristic
411	C₂	—	2	1	no	—
412	C₂	—	4	2	no	—
413	C₂	—	18	2	no	—
414	C₂	—	36	2	no	—
415	C₂	C₄×D₄×D₉	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₄×D₉
commutator	C₄×C₉	C₂³×C₄
Frattini	C₂×C₃×C₄	C₂³×D₃
Fitting	C₉×#444	C₂
socle	C₂×C₃	C₄×D₃×D₄
prime radical	#10589870	C₂
cosocle	C₂×C₄×C₉	C₂⁴
hypercenter	#444	D₉
hypocenter	C₉	#2956
LCS	G ▷ C₄×C₉ ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₄ ◁ C₂×C₈ ◁ #444

Complements

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

N	H ≅ G/N	type
2. #10589852	C₂	semidirect
3. C₉×#444	C₂	semidirect
4. #10588876	C₂	semidirect
5. #10588824	C₂	semidirect
6. #10588575	C₂	semidirect
7. #10588573	C₂	semidirect
8. #10588503	C₂	semidirect
9. D₉×#104	C₂	semidirect
10. #10588397	C₂	semidirect
11. #10588388	C₂	semidirect
15. C₉×#131	C₂²	semidirect
17. #63510	C₂²	semidirect
18. #63480	C₄	semidirect
19. #63477	C₄	semidirect
20. #63476	C₄	semidirect
21. #63473	C₄	semidirect
23. #63469	C₂²	semidirect
28. #63464	C₂²	semidirect
33. C₉×#108	C₂²	semidirect
34. C₉×#104	C₂²	semidirect
35. C₉×#97	C₂²	semidirect
36. #63396	C₂²	semidirect
37. #63384	C₂²	semidirect
38. #63381	C₂²	semidirect
39. C₈×Dic₉	C₂²	semidirect
40. C₈×Dic₉	C₂²	semidirect
41. #63372	C₂²	semidirect
42. #63364	C₂²	semidirect
43. #63362	C₂²	semidirect
67. C₉×Q₁₆	C₂×C₄	semidirect
68. C₉×SD₁₆	C₂×C₄	semidirect
69. C₉×D₈	C₂×C₄	semidirect
76. #3675	C₂×C₄	semidirect
77. #3674	C₂×C₄	semidirect
78. #3673	C₂×C₄	semidirect
79. #3672	C₂×C₄	semidirect
87. D₇₂	C₂×C₄	semidirect
88. #3664	C₂×C₄	semidirect
99. Dic₃₆	C₂×C₄	semidirect
168. #444	D₉	semidirect
246. #131	C₂×D₉	semidirect
255. #108	C₂×D₉	semidirect
259. #104	C₂×D₉	semidirect
261. #97	C₂×D₉	semidirect
315. Q₁₆	C₄×D₉	semidirect
319. SD₁₆	C₄×D₉	semidirect
322. D₈	C₄×D₉	semidirect
359. C₉	#2956	semidirect

Maximal subgroups

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

subgroup	index
#10589870	2
#10589852	2
C₉×#444	2
#10588876	2
#10588824	2
#10588575	2
#10588573	2
#10588503	2
D₉×#104	2
#10588397	2
#10588388	2
#79898	3