Subgroups — C₂×M₃₂×#595 #17978121

Order 4352.

918 conjugacy classes of subgroups.

The subgroup lattice has 362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11763865	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₈×#595	C₂	1	1	yes	maximal, characteristic
3	M₃₂×#595	C₂	1	8	yes	maximal, direct product factor
4	C₂×#11763696	C₂	1	2	yes	maximal, complemented
5	C₂×C₁₆×#595	C₂	1	2	yes	maximal, complemented
6	C₂×M₃₂×D₁₇	C₂	1	1	yes	maximal, characteristic
7	C₂²×#63242	C₄	1	1	yes	characteristic
8	C₂²×C₄×#595	C₄	1	1	yes	characteristic
9	C₂×#10587530	C₄	1	2	yes	complemented
10	#11763865	C₄	1	4	yes	complemented
11	#11763865	C₂²	1	4	yes	—
12	C₂×#10587538	C₄	1	2	yes	complemented
13	C₂×#10587529	C₂²	1	2	yes	—
14	C₂×C₈×#595	C₄	1	1	yes	characteristic
15	C₂×C₈×#595	C₄	1	1	yes	characteristic
16	C₂×C₈×#595	C₄	1	4	yes	—
17	C₂×C₈×#595	C₂²	1	1	yes	characteristic
18	C₂×C₈×#595	C₂²	1	1	yes	characteristic
19	C₂×C₈×#595	C₂²	1	4	yes	—
20	#11763696	C₂²	1	8	yes	complemented
21	C₁₆×#595	C₂²	1	8	yes	complemented
22	C₂²×C₈×D₁₇	C₂²	1	1	yes	characteristic
23	C₂×#10587483	C₄	1	1	yes	characteristic, complemented
24	C₂×#10587469	C₄	1	2	yes	complemented
25	M₃₂×D₁₇	C₄	1	4	yes	complemented
26	M₃₂×D₁₇	C₂²	1	4	yes	—
27	C₂×C₁₆×D₁₇	C₂²	1	2	yes	—
28	C₂×C₁₇×M₃₂	C₄	1	1	yes	characteristic, complemented
29	C₂³×#595	C₈	1	2	yes	—
30	C₂²×C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
31	C₂²×#3624	C₈	1	2	yes	—
32	C₂×C₄×#595	C₈	1	4	yes	—
33	C₂×C₄×#595	C₈	1	2	yes	—
34	C₂×C₄×#595	C₂×C₄	1	1	yes	characteristic
35	C₂×C₄×#595	C₂×C₄	1	4	yes	—
36	C₂×C₄×#595	C₂×C₄	1	1	yes	characteristic
37	C₂×#63242	C₈	1	2	yes	—
38	C₂×#63242	C₈	1	4	yes	—
39	C₂×#63242	C₂×C₄	1	1	yes	characteristic
40	C₂×#63242	C₂×C₄	1	1	yes	characteristic
41	C₂×#63242	C₂×C₄	1	4	yes	—
42	C₂²×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
43	C₂²×#3622	C₂×C₄	1	1	yes	characteristic
44	C₂×C₈×D₁₇	C₂×C₄	1	2	yes	—
45	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
46	C₂×C₈×D₁₇	C₂×C₄	1	2	yes	—
47	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
48	C₂×C₈×D₁₇	C₂×C₄	1	2	yes	—
49	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
50	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
51	C₂×C₈×D₁₇	C₂³	1	2	yes	—
52	#10587538	C₂×C₄	1	8	yes	complemented
53	C₂×#63216	C₂×C₄	1	4	yes	complemented
54	C₈×#595	C₂×C₄	1	2	yes	—
55	C₈×#595	C₂×C₄	1	2	yes	—
56	C₈×#595	C₂×C₄	1	4	yes	—
57	C₈×#595	C₂×C₄	1	4	yes	—
58	C₈×#595	C₂³	1	2	yes	—
59	C₈×#595	C₂³	1	2	yes	—
60	#10587530	C₂×C₄	1	8	yes	complemented
61	#10587529	C₂×C₄	1	4	yes	complemented
62	#10587529	C₂³	1	4	yes	—
63	C₁₇×M₃₂	C₂×C₄	1	4	yes	complemented
64	C₂×C₁₆×C₁₇	C₂×C₄	1	2	yes	complemented
65	#10587483	C₂×C₄	1	4	yes	complemented
66	C₂×#63214	C₂×C₄	1	2	yes	complemented
67	#10587469	C₂×C₄	1	8	yes	complemented
68	C₁₆×D₁₇	C₂×C₄	1	4	yes	complemented
69	C₁₆×D₁₇	C₂³	1	4	yes	—
70	C₂³×D₁₇	C₂×C₈	1	1	yes	characteristic
71	C₂²×#595	—	2	8	no	—
72	C₂²×#595	C₂×C₈	1	2	yes	—
73	C₂²×#595	C₂×C₈	1	8	yes	—
74	C₂²×#595	C₂×C₈	1	2	yes	—
75	C₂²×C₄×C₁₇	C₄²	1	1	yes	characteristic
76	C₂²×Dic₁₇	C₂×C₈	1	1	yes	characteristic
77	C₂×C₄×D₁₇	C₄²	1	2	yes	—
78	C₂×C₄×D₁₇	C₄²	1	1	yes	characteristic
79	C₂×C₄×D₁₇	C₂×C₈	1	2	yes	—
80	C₂×C₄×D₁₇	C₂×C₈	1	1	yes	characteristic
81	C₂×C₄×D₁₇	C₂×C₈	1	1	yes	characteristic
82	C₂×C₄×D₁₇	C₂×C₈	1	2	yes	—
83	C₂×C₄×D₁₇	C₂²×C₄	1	2	yes	—
84	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
85	C₂×#3624	C₂×C₈	1	8	yes	—
86	C₂×#3624	C₂×C₈	1	2	yes	—
87	C₂×#3624	C₂×C₈	1	2	yes	—
88	C₄×#595	C₂×C₈	1	2	yes	—
89	C₄×#595	C₂×C₈	1	8	yes	—
90	C₄×#595	C₂×C₈	1	2	yes	—
91	C₄×#595	C₂²×C₄	1	2	yes	—
92	C₄×#595	C₂²×C₄	1	2	yes	—
93	#63242	C₂×C₈	1	8	yes	—
94	#63242	C₂×C₈	1	2	yes	—
95	#63242	C₂×C₈	1	2	yes	—
96	#63242	C₂²×C₄	1	2	yes	—
97	#63242	C₂²×C₄	1	2	yes	—
98	C₂×C₈×C₁₇	C₄²	1	2	yes	—
99	C₂×C₈×C₁₇	C₄²	1	1	yes	characteristic
100	C₂×C₈×C₁₇	C₂²×C₄	1	2	yes	—
101	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
102	C₂×#3622	C₄²	1	2	yes	—
103	C₂×#3622	C₄²	1	1	yes	characteristic
104	C₂×#3622	C₂²×C₄	1	1	yes	characteristic
105	C₂×#3622	C₂²×C₄	1	2	yes	—
106	C₈×D₁₇	C₄²	1	2	yes	—
107	C₈×D₁₇	C₄²	1	2	yes	—
108	C₈×D₁₇	C₄²	1	2	yes	—
109	C₈×D₁₇	C₂²×C₄	1	1	yes	characteristic
110	C₈×D₁₇	C₂²×C₄	1	2	yes	—
111	C₈×D₁₇	C₂²×C₄	1	1	yes	characteristic
112	C₈×D₁₇	C₂²×C₄	1	2	yes	—
113	C₈×D₁₇	C₂²×C₄	1	1	yes	characteristic
114	C₈×D₁₇	C₂²×C₄	1	2	yes	—
115	C₈×D₁₇	C₂⁴	1	1	yes	characteristic
116	#63216	C₂²×C₄	1	8	yes	complemented
117	C₁₆×C₁₇	C₂²×C₄	1	4	yes	complemented
118	#63214	C₂²×C₄	1	4	yes	complemented
119	C₂×C₄×M₃₂	—	17	1	no	maximal, Sylow
120	C₂³×C₁₇	C₄×C₈	1	1	yes	characteristic
121	C₂²×D₁₇	—	2	4	no	—
122	C₂²×D₁₇	C₄×C₈	1	1	yes	characteristic
123	C₂²×D₁₇	C₄×C₈	1	2	yes	—
124	C₂²×D₁₇	C₂²×C₈	1	2	yes	—
125	C₂²×D₁₇	C₂²×C₈	1	1	yes	characteristic
126	C₂×#595	—	2	4	no	—
127	C₂×#595	—	2	16	no	—
128	C₂×#595	M₃₂	1	8	yes	direct product factor
129	C₂×#595	C₂²×C₈	1	4	yes	—
130	C₂×#595	C₂²×C₈	1	4	yes	—
131	C₂×C₄×C₁₇	C₄×C₈	1	2	yes	—
132	C₂×C₄×C₁₇	C₄×C₈	1	1	yes	characteristic
133	C₂×C₄×C₁₇	C₂×C₄²	1	2	yes	—
134	C₂×C₄×C₁₇	C₂×C₄²	1	1	yes	characteristic
135	C₂×Dic₁₇	C₄×C₈	1	2	yes	—
136	C₂×Dic₁₇	C₄×C₈	1	1	yes	characteristic
137	C₂×Dic₁₇	C₂²×C₈	1	2	yes	—
138	C₂×Dic₁₇	C₂²×C₈	1	1	yes	characteristic
139	C₄×D₁₇	C₄×C₈	1	2	yes	—
140	C₄×D₁₇	C₄×C₈	1	2	yes	—
141	C₄×D₁₇	C₄×C₈	1	2	yes	—
142	C₄×D₁₇	C₂×C₄²	1	2	yes	—
143	C₄×D₁₇	C₂×C₄²	1	1	yes	characteristic
144	C₄×D₁₇	C₂²×C₈	1	2	yes	—
145	C₄×D₁₇	C₂²×C₈	1	1	yes	characteristic
146	C₄×D₁₇	C₂²×C₈	1	1	yes	characteristic
147	C₄×D₁₇	C₂²×C₈	1	2	yes	—
148	C₄×D₁₇	C₂³×C₄	1	1	yes	characteristic
149	#3624	C₂²×C₈	1	4	yes	—
150	#3624	C₂²×C₈	1	4	yes	—
151	C₈×C₁₇	C₂×C₄²	1	2	yes	—
152	C₈×C₁₇	C₂×C₄²	1	1	yes	characteristic
153	C₈×C₁₇	C₂³×C₄	1	1	yes	characteristic
154	#3622	C₂×C₄²	1	1	yes	characteristic
155	#3622	C₂×C₄²	1	2	yes	—
156	#3622	C₂³×C₄	1	1	yes	characteristic
157	C₂²×M₃₂	—	17	1	no	—
158	C₂²×M₃₂	—	17	1	no	—
159	C₂²×C₄×C₈	—	17	1	no	—
160	C₄×M₃₂	—	17	8	no	—
161	C₂×#346	—	17	2	no	—
162	C₂×C₄×C₁₆	—	17	2	no	—
163	C₂²×C₁₇	—	2	2	no	—
164	C₂²×C₁₇	C₂×C₄×C₈	1	2	yes	—
165	C₂²×C₁₇	C₂×C₄×C₈	1	1	yes	characteristic
166	C₂×D₁₇	—	2	2	no	—
167	C₂×D₁₇	—	2	4	no	—
168	C₂×D₁₇	—	2	4	no	—
169	C₂×D₁₇	C₂×C₄×C₈	1	2	yes	—
170	C₂×D₁₇	C₂×C₄×C₈	1	1	yes	characteristic
171	C₂×D₁₇	C₂×M₃₂	1	4	yes	—
172	C₂×D₁₇	C₂³×C₈	1	1	yes	characteristic
173	#595	—	2	4	no	—
174	#595	C₂×M₃₂	1	8	yes	direct product factor
175	C₄×C₁₇	C₂×C₄×C₈	1	2	yes	—
176	C₄×C₁₇	C₂×C₄×C₈	1	1	yes	characteristic
177	C₄×C₁₇	C₂²×C₄²	1	1	yes	characteristic
178	Dic₁₇	C₂×C₄×C₈	1	1	yes	characteristic
179	Dic₁₇	C₂×C₄×C₈	1	2	yes	—
180	Dic₁₇	C₂³×C₈	1	1	yes	characteristic
181	C₂³×C₈	—	17	1	no	—
182	C₂³×C₈	—	17	1	no	—
183	C₂²×C₄²	—	17	1	no	—
184	C₂×M₃₂	—	17	4	no	—
185	C₂×M₃₂	—	17	2	no	—
186	C₂×M₃₂	—	17	4	no	—
187	C₂×M₃₂	—	17	2	no	—
188	C₂×M₃₂	—	17	1	no	—
189	C₂×M₃₂	—	17	4	no	—
190	C₂×M₃₂	—	17	4	no	—
191	C₂×M₃₂	—	17	2	no	—
192	C₂×M₃₂	#595	1	1	yes	characteristic, direct product factor
193	C₂²×C₁₆	—	17	2	no	—
194	C₂²×C₁₆	—	17	2	no	—
195	C₂×C₄×C₈	—	17	4	no	—
196	C₂×C₄×C₈	—	17	1	no	—
197	C₂×C₄×C₈	—	17	1	no	—
198	C₂×C₄×C₈	—	17	1	no	—
199	C₂×C₄×C₈	—	17	1	no	—
200	C₂×C₄×C₈	—	17	4	no	—
201	#346	—	17	8	no	—
202	C₄×C₁₆	—	17	8	no	—
203	C₂×C₁₇	—	2	2	no	—
204	C₂×C₁₇	C₄×M₃₂	1	2	yes	complemented
205	C₂×C₁₇	C₂²×C₄×C₈	1	1	yes	characteristic
206	D₁₇	—	2	2	no	—
207	D₁₇	C₄×M₃₂	1	2	yes	complemented
208	D₁₇	C₂²×M₃₂	1	2	yes	—
209	C₂³×C₄	—	17	1	no	—
210	C₂³×C₄	—	17	2	no	—
211	C₂²×C₈	—	17	4	no	—
212	C₂²×C₈	—	17	2	no	—
213	C₂²×C₈	—	17	1	no	—
214	C₂²×C₈	—	17	1	no	—
215	C₂²×C₈	—	17	4	no	—
216	C₂²×C₈	—	17	2	no	—
217	C₂²×C₈	—	17	1	no	—
218	C₂²×C₈	—	17	2	no	—
219	C₂²×C₈	—	17	1	no	—
220	C₂²×C₈	—	17	1	no	—
221	C₂²×C₈	—	17	2	no	—
222	C₂²×C₈	—	17	2	no	—
223	C₂²×C₈	—	17	2	no	—
224	C₂²×C₈	—	17	1	no	—
225	C₂²×C₈	—	17	1	no	—
226	C₂²×C₈	C₂×#595	1	1	yes	characteristic
227	C₂×C₄²	—	17	2	no	—
228	C₂×C₄²	—	17	4	no	—
229	C₂×C₄²	—	17	1	no	—
230	C₂×C₄²	—	17	1	no	—
231	C₂×C₄²	—	17	4	no	—
232	M₃₂	—	17	8	no	—
233	M₃₂	—	17	8	no	—
234	M₃₂	—	17	4	no	—
235	M₃₂	—	17	8	no	—
236	M₃₂	C₂×#595	1	4	yes	direct product factor
237	C₂×C₁₆	—	17	4	no	—
238	C₂×C₁₆	—	17	4	no	—
239	C₂×C₁₆	—	17	4	no	—
240	C₂×C₁₆	—	17	2	no	—
241	C₂×C₁₆	—	17	4	no	—
242	C₂×C₁₆	—	17	4	no	—
243	C₂×C₁₆	C₂×#595	1	2	yes	complemented
244	C₄×C₈	—	17	2	no	—
245	C₄×C₈	—	17	2	no	—
246	C₄×C₈	—	17	2	no	—
247	C₄×C₈	—	17	2	no	—
248	C₄×C₈	—	17	4	no	—
249	C₄×C₈	—	17	4	no	—
250	C₁₇	C₂×C₄×M₃₂	1	1	yes	characteristic, complemented, Sylow
251	C₂⁴	—	17	1	no	—
252	C₂²×C₄	—	17	2	no	—
253	C₂²×C₄	—	17	1	no	—
254	C₂²×C₄	—	17	2	no	—
255	C₂²×C₄	—	17	1	no	—
256	C₂²×C₄	—	17	2	no	—
257	C₂²×C₄	—	17	1	no	—
258	C₂²×C₄	—	17	1	no	—
259	C₂²×C₄	—	17	2	no	—
260	C₂²×C₄	—	17	2	no	—
261	C₂²×C₄	—	17	1	no	—
262	C₂²×C₄	—	17	8	no	—
263	C₂²×C₄	—	17	2	no	—
264	C₂²×C₄	—	34	8	no	—
265	C₂²×C₄	C₄×#595	1	1	yes	characteristic
266	C₂×C₈	—	17	2	no	—
267	C₂×C₈	—	17	2	no	—
268	C₂×C₈	—	17	8	no	—
269	C₂×C₈	—	17	2	no	—
270	C₂×C₈	—	17	2	no	—
271	C₂×C₈	—	17	8	no	—
272	C₂×C₈	—	17	2	no	—
273	C₂×C₈	—	17	2	no	—
274	C₂×C₈	—	17	1	no	—
275	C₂×C₈	—	17	2	no	—
276	C₂×C₈	—	17	2	no	—
277	C₂×C₈	—	17	1	no	—
278	C₂×C₈	—	17	2	no	—
279	C₂×C₈	—	17	1	no	—
280	C₂×C₈	—	17	1	no	—
281	C₂×C₈	—	17	2	no	—
282	C₂×C₈	—	17	2	no	—
283	C₂×C₈	—	17	2	no	—
284	C₂×C₈	—	17	2	no	—
285	C₂×C₈	—	17	1	no	—
286	C₂×C₈	—	17	1	no	—
287	C₂×C₈	—	17	2	no	—
288	C₂×C₈	C₄×#595	1	1	yes	characteristic
289	C₂×C₈	C₄×#595	1	2	yes	—
290	C₂×C₈	C₂²×#595	1	2	yes	—
291	C₂×C₈	C₂²×#595	1	1	yes	characteristic
292	C₄²	—	17	2	no	—
293	C₄²	—	17	8	no	—
294	C₄²	—	17	2	no	—
295	C₄²	—	17	2	no	—
296	C₄²	—	17	2	no	—
297	C₁₆	—	17	8	no	—
298	C₁₆	—	17	4	no	—
299	C₁₆	C₂²×#595	1	4	yes	complemented
300	C₂³	—	17	1	no	—
301	C₂³	—	17	2	no	—
302	C₂³	—	17	2	no	—
303	C₂³	—	17	1	no	—
304	C₂³	—	34	4	no	—
305	C₂³	C₈×#595	1	1	yes	characteristic
306	C₂×C₄	—	17	4	no	—
307	C₂×C₄	—	17	8	no	—
308	C₂×C₄	—	17	2	no	—
309	C₂×C₄	—	17	1	no	—
310	C₂×C₄	—	17	2	no	—
311	C₂×C₄	—	17	1	no	—
312	C₂×C₄	—	17	2	no	—
313	C₂×C₄	—	17	1	no	—
314	C₂×C₄	—	17	1	no	—
315	C₂×C₄	—	17	2	no	—
316	C₂×C₄	—	17	2	no	—
317	C₂×C₄	—	17	2	no	—
318	C₂×C₄	—	17	2	no	—
319	C₂×C₄	—	17	1	no	—
320	C₂×C₄	—	17	1	no	—
321	C₂×C₄	—	17	2	no	—
322	C₂×C₄	—	17	4	no	—
323	C₂×C₄	—	34	16	no	—
324	C₂×C₄	—	34	4	no	—
325	C₂×C₄	C₈×#595	1	2	yes	—
326	C₂×C₄	C₈×#595	1	1	yes	characteristic
327	C₂×C₄	C₂×C₄×#595	1	2	yes	—
328	C₂×C₄	C₂×C₄×#595	1	1	yes	characteristic
329	C₈	—	17	4	no	—
330	C₈	—	17	4	no	—
331	C₈	—	17	1	no	—
332	C₈	—	17	1	no	—
333	C₈	—	17	2	no	—
334	C₈	C₂×C₄×#595	1	2	yes	—
335	C₈	C₂×C₄×#595	1	1	yes	characteristic
336	C₈	C₂³×#595	1	1	yes	characteristic
337	C₂²	—	2	2	no	—
338	C₂²	—	17	4	no	—
339	C₂²	—	17	1	no	—
340	C₂²	—	17	1	no	—
341	C₂²	—	17	2	no	—
342	C₂²	—	34	4	no	—
343	C₂²	—	34	4	no	—
344	C₂²	—	34	2	no	—
345	C₂²	C₂×C₈×#595	1	2	yes	—
346	C₂²	C₂×C₈×#595	1	1	yes	characteristic
347	C₄	—	17	8	no	—
348	C₄	—	17	1	no	—
349	C₄	—	17	2	no	—
350	C₄	—	17	1	no	—
351	C₄	—	34	4	no	—
352	C₄	C₂×C₈×#595	1	2	yes	—
353	C₄	C₂×C₈×#595	1	1	yes	characteristic
354	C₄	C₂²×C₄×#595	1	1	yes	characteristic
355	C₂	—	2	2	no	—
356	C₂	—	17	2	no	—
357	C₂	—	17	2	no	—
358	C₂	—	34	2	no	—
359	C₂	M₃₂×#595	1	2	yes	direct product factor
360	C₂	C₂²×C₈×#595	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	C₂²×#595
commutator	C₂×C₁₇	C₂²×C₄×C₈
Frattini	C₈	C₂³×#595
Fitting	C₂×C₁₇×M₃₂	C₄
socle	C₂²×C₁₇	C₂×C₄×C₈
prime radical	C₂³×D₁₇	C₂×C₈
cosocle	C₈×D₁₇	C₂⁴
hypercenter	C₂×M₃₂	#595
hypocenter	C₁₇	C₂×C₄×M₃₂
LCS	G ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂×C₈ ◁ C₂×M₃₂

Complements

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

N	H ≅ G/N	type
3. M₃₂×#595	C₂	direct (N × H)
4. C₂×#11763696	C₂	semidirect
5. C₂×C₁₆×#595	C₂	semidirect
9. C₂×#10587530	C₄	semidirect
10. #11763865	C₄	semidirect
12. C₂×#10587538	C₄	semidirect
20. #11763696	C₂²	semidirect
21. C₁₆×#595	C₂²	semidirect
23. C₂×#10587483	C₄	semidirect
24. C₂×#10587469	C₄	semidirect
25. M₃₂×D₁₇	C₄	semidirect
28. C₂×C₁₇×M₃₂	C₄	semidirect
52. #10587538	C₂×C₄	semidirect
53. C₂×#63216	C₂×C₄	semidirect
60. #10587530	C₂×C₄	semidirect
61. #10587529	C₂×C₄	semidirect
63. C₁₇×M₃₂	C₂×C₄	semidirect
64. C₂×C₁₆×C₁₇	C₂×C₄	semidirect
65. #10587483	C₂×C₄	semidirect
66. C₂×#63214	C₂×C₄	semidirect
67. #10587469	C₂×C₄	semidirect
68. C₁₆×D₁₇	C₂×C₄	semidirect
116. #63216	C₂²×C₄	semidirect
117. C₁₆×C₁₇	C₂²×C₄	semidirect
118. #63214	C₂²×C₄	semidirect
128. C₂×#595	M₃₂	direct (N × H)
174. #595	C₂×M₃₂	direct (N × H)
192. C₂×M₃₂	#595	direct (N × H)
204. C₂×C₁₇	C₄×M₃₂	semidirect
207. D₁₇	C₄×M₃₂	semidirect
236. M₃₂	C₂×#595	direct (N × H)
243. C₂×C₁₆	C₂×#595	semidirect
250. C₁₇	C₂×C₄×M₃₂	semidirect
299. C₁₆	C₂²×#595	semidirect
359. C₂	M₃₂×#595	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#11763865	2
C₂²×C₈×#595	2
M₃₂×#595	2
C₂×#11763696	2
C₂×C₁₆×#595	2
C₂×M₃₂×D₁₇	2
C₂×C₄×M₃₂	17

Subgroups — C2×M32×#595 #17978121

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×M₃₂×#595 #17978121