Subgroups — #32015977

Order 18176.

808 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22597257	C₂	1	1	yes	maximal, characteristic
2	C₂×#17986121	C₂	1	1	yes	maximal, characteristic
3	#22596949	C₂	1	2	yes	maximal, complemented
4	#22589130	C₂	1	1	yes	maximal, characteristic, complemented
5	#22589128	C₂	1	1	yes	maximal, characteristic, complemented
6	#22588580	C₂	1	2	yes	maximal, complemented
7	#22588578	C₂	1	2	yes	maximal, complemented
8	#22588513	C₂	1	1	yes	maximal, characteristic, complemented
9	#22588392	C₂	1	2	yes	maximal, complemented
10	#22588225	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇₁×#2957	C₂	1	1	yes	maximal, characteristic
12	#17986766	C₂²	1	2	yes	—
13	C₂×#14556135	C₂²	1	2	yes	—
14	#17986121	—	2	2	no	—
15	#17986121	C₄	1	4	yes	complemented
16	#17986121	C₄	1	4	yes	complemented
17	#17986116	—	2	2	no	—
18	#17986047	—	2	4	no	—
19	#17986047	C₂²	1	2	yes	—
20	#17986047	C₂²	1	2	yes	—
21	C₂×#14556064	C₂²	1	1	yes	characteristic
22	C₂×#14556064	C₂²	1	1	yes	characteristic
23	C₂×#14556063	—	2	4	no	—
24	C₂×#14556063	C₂²	1	2	yes	—
25	C₂×#14556063	C₂²	1	1	yes	characteristic
26	#17986035	C₂²	1	1	yes	characteristic
27	#17986022	C₂²	1	2	yes	—
28	#17986016	C₂²	1	2	yes	—
29	C₂×#14556055	C₂²	1	2	yes	—
30	#17985954	C₂²	1	1	yes	characteristic
31	C₂×#14556038	C₂²	1	1	yes	characteristic
32	#17985770	C₂²	1	2	yes	—
33	#17985769	C₂²	1	2	yes	—
34	#17985760	C₂²	1	1	yes	characteristic
35	#17985758	C₂²	1	1	yes	characteristic
36	C₂×#135×C₇₁	C₂²	1	1	yes	characteristic
37	#568×C₇₁	C₂²	1	2	yes	—
38	#444×C₇₁	—	2	2	no	—
39	#443×C₇₁	—	2	2	no	—
40	C₂×#108×C₇₁	C₂²	1	1	yes	characteristic
41	#421×C₇₁	C₂²	1	2	yes	—
42	#405×C₇₁	C₂²	1	1	yes	characteristic
43	#14556135	—	2	2	no	—
44	#14556135	—	2	2	no	—
45	#14556135	—	2	4	no	—
46	#14556135	—	4	2	no	—
47	#14556135	C₂×C₄	1	4	yes	—
48	#14556135	C₂×C₄	1	4	yes	—
49	C₂×#11765849	—	2	2	no	—
50	C₂×#11765849	—	2	4	no	—
51	C₂×#11765849	C₂³	1	2	yes	—
52	C₂×#11765849	C₂³	1	2	yes	—
53	C₂×#11765849	C₂³	1	1	yes	characteristic
54	C₂²×C₇₁⋊C₈	—	2	2	no	—
55	C₂²×C₇₁⋊C₈	C₂³	1	1	yes	characteristic
56	#14556087	C₂³	1	1	yes	characteristic
57	C₂×C₄×Dic₇₁	C₂³	1	1	yes	characteristic
58	#14556064	—	2	1	no	—
59	#14556064	—	2	1	no	—
60	#14556064	C₂×C₄	1	2	yes	—
61	#14556064	C₂×C₄	1	2	yes	—
62	#14556063	—	2	4	no	—
63	#14556063	—	2	2	no	—
64	#14556063	—	2	2	no	—
65	#14556063	—	2	4	no	—
66	#14556063	D₄	1	4	yes	—
67	#14556061	—	2	1	no	—
68	#14556059	—	2	1	no	—
69	Dic₇₁⋊C₈	—	4	2	no	—
70	#14556055	—	2	4	no	—
71	#14556055	C₂×C₄	1	8	yes	—
72	#14556038	—	2	1	no	—
73	#14556038	C₂×C₄	1	2	yes	—
74	#14556038	C₂×C₄	1	2	yes	—
75	C₈×Dic₇₁	—	2	1	no	—
76	C₂×#41×C₇₁	C₂³	1	2	yes	—
77	#135×C₇₁	C₂×C₄	1	2	yes	—
78	#135×C₇₁	C₂×C₄	1	2	yes	—
79	#135×C₇₁	D₄	1	2	yes	—
80	#135×C₇₁	D₄	1	2	yes	—
81	C₂×Q₁₆×C₇₁	Q₈	1	1	yes	characteristic
82	C₂×SD₁₆×C₇₁	Q₈	1	2	yes	—
83	C₂×D₈×C₇₁	Q₈	1	1	yes	characteristic
84	#131×C₇₁	—	2	4	no	—
85	#131×C₇₁	—	4	2	no	—
86	C₂×M₁₆×C₇₁	—	2	4	no	—
87	C₂×M₁₆×C₇₁	C₂³	1	2	yes	—
88	C₂×M₁₆×C₇₁	C₂³	1	1	yes	characteristic
89	C₂²×C₈×C₇₁	C₂³	1	1	yes	characteristic
90	#117×C₇₁	C₂³	1	1	yes	characteristic
91	#108×C₇₁	—	2	1	no	—
92	#108×C₇₁	—	2	1	no	—
93	#104×C₇₁	—	2	4	no	—
94	#97×C₇₁	—	2	1	no	—
95	C₄×C₈×C₇₁	—	2	1	no	—
96	C₂²×Dic₇₁	—	2	1	no	—
97	#11765849	—	2	2	no	—
98	#11765849	—	2	1	no	—
99	#11765849	—	2	4	no	—
100	#11765849	—	2	4	no	—
101	#11765849	—	2	2	no	—
102	#11765849	—	2	2	no	—
103	#11765849	—	4	4	no	—
104	#11765849	C₂²×C₄	1	4	yes	—
105	#11765849	C₂×D₄	1	2	yes	—
106	C₂×C₇₁⋊C₈	—	2	1	no	—
107	C₂×C₇₁⋊C₈	—	2	2	no	—
108	C₂×C₇₁⋊C₈	—	2	4	no	—
109	C₂×C₇₁⋊C₈	—	2	4	no	—
110	C₂×C₇₁⋊C₈	—	2	2	no	—
111	C₂×C₇₁⋊C₈	—	4	4	no	—
112	C₂×C₇₁⋊C₈	C₂²×C₄	1	2	yes	—
113	C₂×C₇₁⋊C₈	C₂×D₄	1	2	yes	—
114	C₂×C₇₁⋊C₈	#41	1	1	yes	characteristic
115	C₂×C₇₁⋊C₈	#41	1	1	yes	characteristic
116	C₄⋊Dic₇₁	—	2	1	no	—
117	C₂²⋊Dic₇₁	—	2	1	no	—
118	C₄×Dic₇₁	—	2	1	no	—
119	C₄×Dic₇₁	—	2	1	no	—
120	C₄×Dic₇₁	C₂²×C₄	1	2	yes	—
121	#41×C₇₁	—	2	2	no	—
122	#41×C₇₁	—	2	2	no	—
123	#41×C₇₁	C₂²×C₄	1	4	yes	—
124	#41×C₇₁	C₂×D₄	1	4	yes	—
125	C₂×Q₈×C₇₁	C₂×Q₈	1	2	yes	—
126	C₂×D₄×C₇₁	—	2	2	no	—
127	C₂×D₄×C₇₁	C₂×Q₈	1	2	yes	—
128	C₂²×C₄×C₇₁	—	2	2	no	—
129	C₂²×C₄×C₇₁	C₂⁴	1	1	yes	characteristic
130	Q₁₆×C₇₁	C₄⋊C₄	1	2	yes	—
131	Q₁₆×C₇₁	C₄⋊C₄	1	2	yes	—
132	SD₁₆×C₇₁	C₄⋊C₄	1	4	yes	—
133	SD₁₆×C₇₁	C₄⋊C₄	1	4	yes	—
134	D₈×C₇₁	C₄⋊C₄	1	2	yes	—
135	D₈×C₇₁	C₄⋊C₄	1	2	yes	—
136	M₁₆×C₇₁	—	2	1	no	—
137	M₁₆×C₇₁	—	2	2	no	—
138	M₁₆×C₇₁	—	2	2	no	—
139	M₁₆×C₇₁	—	4	4	no	—
140	M₁₆×C₇₁	C₂×D₄	1	2	yes	—
141	C₂×C₈×C₇₁	—	2	1	no	—
142	C₂×C₈×C₇₁	—	2	2	no	—
143	C₂×C₈×C₇₁	—	4	4	no	—
144	C₂×C₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
145	C₂×C₈×C₇₁	C₂²×C₄	1	1	yes	characteristic
146	C₂×C₈×C₇₁	C₂×D₄	1	1	yes	characteristic
147	C₂×C₈×C₇₁	C₂×D₄	1	1	yes	characteristic
148	C₂×C₈×C₇₁	C₂×Q₈	1	1	yes	characteristic
149	C₂×C₈×C₇₁	C₂×Q₈	1	1	yes	characteristic
150	C₄⋊C₄×C₇₁	—	2	1	no	—
151	C₂²⋊C₄×C₇₁	—	2	1	no	—
152	C₄²×C₇₁	—	2	1	no	—
153	C₂³×C₇₁	—	2	2	no	—
154	C₂³×C₇₁	2₋¹⁺⁴	1	1	yes	characteristic
155	Q₈×C₇₁	—	2	2	no	—
156	Q₈×C₇₁	C₂×C₄⋊C₄	1	4	yes	—
157	D₄×C₇₁	—	2	4	no	—
158	D₄×C₇₁	—	2	4	no	—
159	D₄×C₇₁	—	2	2	no	—
160	D₄×C₇₁	C₂×C₄⋊C₄	1	4	yes	—
161	C₂×C₄×C₇₁	—	2	2	no	—
162	C₂×C₄×C₇₁	—	2	4	no	—
163	C₂×C₄×C₇₁	—	2	4	no	—
164	C₂×C₄×C₇₁	—	4	1	no	—
165	C₂×C₄×C₇₁	C₂³×C₄	1	1	yes	characteristic
166	C₂×C₄×C₇₁	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₇₁	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₇₁	C₂²×Q₈	1	1	yes	characteristic
169	C₂×C₄×C₇₁	C₂×#41	1	1	yes	characteristic
170	C₂×C₄×C₇₁	H(5,𝔽₂)	1	1	yes	characteristic
171	C₂×Dic₇₁	—	2	2	no	—
172	C₂×Dic₇₁	—	4	1	no	—
173	C₂×Dic₇₁	—	8	1	no	—
174	C₈×C₇₁	—	2	2	no	—
175	C₈×C₇₁	—	4	2	no	—
176	C₈×C₇₁	C₂×C₄⋊C₄	1	1	yes	characteristic
177	C₈×C₇₁	C₂×C₄⋊C₄	1	1	yes	characteristic
178	C₈×C₇₁	C₂×C₄⋊C₄	1	1	yes	characteristic
179	C₈×C₇₁	C₂×C₄⋊C₄	1	1	yes	characteristic
180	C₇₁⋊C₈	—	2	4	no	—
181	C₇₁⋊C₈	—	2	2	no	—
182	C₇₁⋊C₈	—	4	2	no	—
183	C₇₁⋊C₈	C₄×D₄	1	2	yes	—
184	C₇₁⋊C₈	C₄×D₄	1	2	yes	—
185	C₂²×C₇₁	—	2	4	no	—
186	C₂²×C₇₁	—	4	1	no	—
187	C₂²×C₇₁	—	8	2	no	—
188	C₂²×C₇₁	#520	1	1	yes	characteristic
189	C₂²×C₇₁	#547	1	1	yes	characteristic
190	C₂²×C₇₁	D₄×Q₈	1	1	yes	characteristic
191	C₄×C₇₁	—	2	4	no	—
192	C₄×C₇₁	—	8	1	no	—
193	C₄×C₇₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
194	C₄×C₇₁	C₂×C₄×D₄	1	1	yes	characteristic
195	C₄×C₇₁	D₄²	1	1	yes	characteristic
196	C₄×C₇₁	#554	1	1	yes	characteristic
197	Dic₇₁	—	4	2	no	—
198	Dic₇₁	—	8	1	no	—
199	#22695	—	71	1	no	maximal, Sylow
200	C₂×C₇₁	—	2	1	no	—
201	C₂×C₇₁	—	2	1	no	—
202	C₂×C₇₁	—	2	1	no	—
203	C₂×C₇₁	—	4	4	no	—
204	C₂×C₇₁	D₄×C₄⋊C₄	1	1	yes	characteristic
205	#2957	—	71	1	no	—
206	#2957	D₇₁	1	1	yes	characteristic
207	C₂×#444	—	71	1	no	—
208	#2916	—	71	2	no	—
209	#1953	—	71	1	no	—
210	#1953	—	71	1	no	—
211	#1861	—	71	2	no	—
212	#1861	—	71	2	no	—
213	#1849	—	71	1	no	—
214	#1814	—	71	2	no	—
215	#1773	—	71	1	no	—
216	C₇₁	#22695	1	1	yes	characteristic, complemented, Sylow
217	C₂×#135	C₂×D₇₁	1	1	yes	characteristic
218	#568	—	71	2	no	—
219	#568	C₂×D₇₁	1	2	yes	—
220	C₂×#131	—	71	2	no	—
221	#444	—	2	2	no	—
222	#444	—	71	4	no	—
223	#444	—	71	4	no	—
224	#444	—	142	2	no	—
225	#443	—	2	2	no	—
226	#443	—	142	2	no	—
227	#430	—	71	2	no	—
228	#430	—	71	2	no	—
229	#430	—	142	4	no	—
230	C₂×#108	—	71	1	no	—
231	C₂×#108	—	71	1	no	—
232	C₂×#108	—	71	2	no	—
233	C₂×#108	—	71	1	no	—
234	C₂×#108	—	142	4	no	—
235	C₂×#108	C₂×D₇₁	1	1	yes	characteristic
236	#427	—	71	1	no	—
237	#423	—	71	2	no	—
238	#421	—	71	2	no	—
239	#421	C₂×D₇₁	1	2	yes	—
240	C₂×#104	—	71	2	no	—
241	#405	—	71	1	no	—
242	#405	C₂×D₇₁	1	1	yes	characteristic
243	C₂×#97	—	71	1	no	—
244	#344	—	71	2	no	—
245	#344	—	71	2	no	—
246	#339	—	71	1	no	—
247	#339	—	71	1	no	—
248	C₂×#41	C₂²×D₇₁	1	2	yes	—
249	#135	C₄×D₇₁	1	2	yes	—
250	#135	C₄×D₇₁	1	2	yes	—
251	#135	C₂²⋊D₇₁	1	2	yes	—
252	#135	C₂²⋊D₇₁	1	2	yes	—
253	C₂×Q₁₆	Dic₁₄₂	1	1	yes	characteristic
254	C₂×SD₁₆	Dic₁₄₂	1	2	yes	—
255	C₂×D₈	Dic₁₄₂	1	1	yes	characteristic
256	#131	—	2	4	no	—
257	#131	—	4	2	no	—
258	#131	—	284	2	no	—
259	#131	—	71	4	no	—
260	#131	—	71	4	no	—
261	#131	—	142	4	no	—
262	#131	—	142	2	no	—
263	#131	—	142	2	no	—
264	C₂×M₁₆	—	2	4	no	—
265	C₂×M₁₆	—	71	2	no	—
266	C₂×M₁₆	—	71	1	no	—
267	C₂×M₁₆	—	71	2	no	—
268	C₂×M₁₆	—	142	4	no	—
269	C₂×M₁₆	—	142	2	no	—
270	C₂×M₁₆	C₂²×D₇₁	1	2	yes	—
271	C₂×M₁₆	C₂²×D₇₁	1	1	yes	characteristic
272	C₂²×C₈	—	71	1	no	—
273	C₂²×C₈	—	142	2	no	—
274	C₂²×C₈	C₂²×D₇₁	1	1	yes	characteristic
275	#117	—	71	1	no	—
276	#117	C₂²×D₇₁	1	1	yes	characteristic
277	C₂×C₄²	—	71	1	no	—
278	#108	—	2	1	no	—
279	#108	—	2	1	no	—
280	#108	—	71	4	no	—
281	#108	—	71	2	no	—
282	#108	—	71	2	no	—
283	#108	—	142	2	no	—
284	#108	—	142	2	no	—
285	#108	—	142	4	no	—
286	#108	—	142	4	no	—
287	#108	—	142	1	no	—
288	#108	—	142	1	no	—
289	#107	—	142	1	no	—
290	#106	—	142	1	no	—
291	C₄⋊C₈	—	284	2	no	—
292	#104	—	2	4	no	—
293	#104	—	71	8	no	—
294	#104	—	142	4	no	—
295	#97	—	2	1	no	—
296	#97	—	71	2	no	—
297	#97	—	71	2	no	—
298	#97	—	142	1	no	—
299	C₄×C₈	—	2	1	no	—
300	C₄×C₈	—	142	1	no	—
301	#41	—	2	2	no	—
302	#41	—	2	2	no	—
303	#41	C₂×C₄×D₇₁	1	4	yes	—
304	#41	C₂×C₂²⋊D₇₁	1	4	yes	—
305	C₂×Q₈	C₂×Dic₁₄₂	1	2	yes	—
306	C₂×D₄	—	2	2	no	—
307	C₂×D₄	C₂×Dic₁₄₂	1	2	yes	—
308	C₂²×C₄	—	2	2	no	—
309	C₂²×C₄	—	142	1	no	—
310	C₂²×C₄	C₂³×D₇₁	1	1	yes	characteristic
311	Q₁₆	Dic₇₁⋊C₄	1	2	yes	—
312	Q₁₆	Dic₇₁⋊C₄	1	2	yes	—
313	SD₁₆	Dic₇₁⋊C₄	1	4	yes	—
314	SD₁₆	Dic₇₁⋊C₄	1	4	yes	—
315	D₈	Dic₇₁⋊C₄	1	2	yes	—
316	D₈	Dic₇₁⋊C₄	1	2	yes	—
317	M₁₆	—	2	1	no	—
318	M₁₆	—	2	2	no	—
319	M₁₆	—	2	2	no	—
320	M₁₆	—	4	4	no	—
321	M₁₆	—	284	4	no	—
322	M₁₆	—	71	4	no	—
323	M₁₆	—	71	2	no	—
324	M₁₆	—	142	2	no	—
325	M₁₆	—	142	2	no	—
326	M₁₆	—	142	4	no	—
327	M₁₆	—	142	4	no	—
328	M₁₆	—	142	2	no	—
329	M₁₆	—	142	1	no	—
330	M₁₆	D₄×D₇₁	1	2	yes	—
331	C₂×C₈	—	2	1	no	—
332	C₂×C₈	—	2	2	no	—
333	C₂×C₈	—	4	4	no	—
334	C₂×C₈	—	284	4	no	—
335	C₂×C₈	—	71	2	no	—
336	C₂×C₈	—	71	2	no	—
337	C₂×C₈	—	71	1	no	—
338	C₂×C₈	—	71	1	no	—
339	C₂×C₈	—	142	2	no	—
340	C₂×C₈	—	142	4	no	—
341	C₂×C₈	—	142	4	no	—
342	C₂×C₈	—	142	2	no	—
343	C₂×C₈	—	142	1	no	—
344	C₂×C₈	C₂×C₄×D₇₁	1	1	yes	characteristic
345	C₂×C₈	C₂×C₄×D₇₁	1	1	yes	characteristic
346	C₂×C₈	C₂×C₂²⋊D₇₁	1	1	yes	characteristic
347	C₂×C₈	C₂×C₂²⋊D₇₁	1	1	yes	characteristic
348	C₂×C₈	C₂×Dic₁₄₂	1	1	yes	characteristic
349	C₂×C₈	C₂×Dic₁₄₂	1	1	yes	characteristic
350	C₄⋊C₄	—	2	1	no	—
351	C₄⋊C₄	—	142	1	no	—
352	C₂²⋊C₄	—	2	1	no	—
353	C₂²⋊C₄	—	142	1	no	—
354	C₄²	—	2	1	no	—
355	C₄²	—	71	2	no	—
356	C₄²	—	142	1	no	—
357	C₄²	—	142	1	no	—
358	C₂³	—	2	2	no	—
359	C₂³	#14556175	1	1	yes	characteristic
360	Q₈	—	2	2	no	—
361	Q₈	C₂×Dic₇₁⋊C₄	1	4	yes	—
362	D₄	—	2	4	no	—
363	D₄	—	2	4	no	—
364	D₄	—	2	2	no	—
365	D₄	C₂×Dic₇₁⋊C₄	1	4	yes	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	4	no	—
368	C₂×C₄	—	2	4	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	284	1	no	—
371	C₂×C₄	—	568	1	no	—
372	C₂×C₄	—	142	2	no	—
373	C₂×C₄	C₂²×C₄×D₇₁	1	1	yes	characteristic
374	C₂×C₄	C₂×D₄×D₇₁	1	1	yes	characteristic
375	C₂×C₄	C₂²×C₂²⋊D₇₁	1	1	yes	characteristic
376	C₂×C₄	C₂²×Dic₁₄₂	1	1	yes	characteristic
377	C₂×C₄	#41×D₇₁	1	1	yes	characteristic
378	C₂×C₄	#14556173	1	1	yes	characteristic
379	C₈	—	2	2	no	—
380	C₈	—	4	2	no	—
381	C₈	—	284	2	no	—
382	C₈	—	71	2	no	—
383	C₈	—	71	2	no	—
384	C₈	—	142	2	no	—
385	C₈	—	142	4	no	—
386	C₈	C₂×Dic₇₁⋊C₄	1	1	yes	characteristic
387	C₈	C₂×Dic₇₁⋊C₄	1	1	yes	characteristic
388	C₈	C₂×Dic₇₁⋊C₄	1	1	yes	characteristic
389	C₈	C₂×Dic₇₁⋊C₄	1	1	yes	characteristic
390	C₂²	—	2	4	no	—
391	C₂²	—	4	1	no	—
392	C₂²	—	8	2	no	—
393	C₂²	#17986478	1	1	yes	characteristic
394	C₂²	#17986648	1	1	yes	characteristic
395	C₂²	D₄×Dic₁₄₂	1	1	yes	characteristic
396	C₄	—	2	4	no	—
397	C₄	—	8	1	no	—
398	C₄	—	284	2	no	—
399	C₄	—	568	1	no	—
400	C₄	C₂²×Dic₇₁⋊C₄	1	1	yes	characteristic
401	C₄	C₄×D₄×D₇₁	1	1	yes	characteristic
402	C₄	D₄×C₂²⋊D₇₁	1	1	yes	characteristic
403	C₄	#17986708	1	1	yes	characteristic
404	C₂	—	2	1	no	—
405	C₂	—	2	1	no	—
406	C₂	—	2	1	no	—
407	C₂	—	4	4	no	—
408	C₂	D₄×Dic₇₁⋊C₄	1	1	yes	characteristic

	subgroup	G/H
center	C₄	D₄×C₂²⋊D₇₁
commutator	C₂×C₄×C₇₁	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₇₁
Fitting	C₇₁×#2957	C₂
socle	C₂×C₇₁	D₄×C₄⋊C₄
prime radical	C₂×#135×C₇₁	C₂²
cosocle	C₂²×C₄×C₇₁	C₂⁴
hypercenter	#2957	D₇₁
hypocenter	C₇₁	#22695
LCS	G ▷ C₂×C₄×C₇₁ ▷ C₂×C₇₁ ▷ C₇₁
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ #2957

Complements

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

N	H ≅ G/N	type
3. #22596949	C₂	semidirect
4. #22589130	C₂	semidirect
5. #22589128	C₂	semidirect
6. #22588580	C₂	semidirect
7. #22588578	C₂	semidirect
8. #22588513	C₂	semidirect
9. #22588392	C₂	semidirect
10. #22588225	C₂	semidirect
15. #17986121	C₄	semidirect
16. #17986121	C₄	semidirect
216. C₇₁	#22695	semidirect

Maximal subgroups

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

subgroup	index
#22597257	2
C₂×#17986121	2
#22596949	2
#22589130	2
#22589128	2
#22588580	2
#22588578	2
#22588513	2
#22588392	2
#22588225	2
C₇₁×#2957	2
#22695	71