Subgroups — C₄×#11763865 #17978123

Order 4352.

918 conjugacy classes of subgroups.

The subgroup lattice has 366 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	2	yes	maximal
2	#14544991	C₂	1	2	yes	maximal, complemented
3	#14544990	C₂	1	2	yes	maximal, complemented
4	C₄×#10587530	C₂	1	2	yes	maximal, complemented
5	C₄×#10587538	C₂	1	2	yes	maximal, complemented
6	#14544985	C₂	1	2	yes	maximal, complemented
7	C₄×#10587529	C₂	1	2	yes	maximal, complemented
8	C₂×C₄×C₈×D₁₇	C₂	1	1	yes	maximal, characteristic
9	C₂×#10587530	C₂²	1	4	yes	—
10	#11763865	C₄	1	16	yes	direct product factor
11	C₂×#10587538	C₂²	1	4	yes	—
12	C₂×#10587529	C₂²	1	4	yes	—
13	#11763698	C₂²	1	4	yes	complemented
14	#11763697	C₂²	1	4	yes	complemented
15	#11763695	C₂²	1	4	yes	complemented
16	C₄×#63216	C₂²	1	4	yes	complemented
17	C₂²×C₈×D₁₇	C₄	1	1	yes	characteristic
18	C₂²×C₈×D₁₇	C₂²	1	1	yes	characteristic
19	C₂×C₄²×D₁₇	C₄	1	1	yes	characteristic
20	C₂×C₄×#3622	C₂²	1	1	yes	characteristic
21	C₂×C₈×Dic₁₇	C₄	1	1	yes	characteristic
22	C₂×C₈×Dic₁₇	C₂²	1	1	yes	characteristic
23	C₄×C₈×D₁₇	C₄	1	1	yes	characteristic
24	C₄×C₈×D₁₇	C₄	1	1	yes	characteristic
25	C₄×C₈×D₁₇	C₄	1	1	yes	characteristic
26	C₄×C₈×D₁₇	C₄	1	1	yes	characteristic
27	C₄×C₈×D₁₇	C₂²	1	1	yes	characteristic
28	C₄×C₈×D₁₇	C₂²	1	1	yes	characteristic
29	C₄×C₈×D₁₇	C₂²	1	1	yes	characteristic
30	C₄×C₈×D₁₇	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₈×C₁₇	C₄	1	1	yes	characteristic
32	C₂²×C₄×D₁₇	C₈	1	2	yes	—
33	C₂²×C₄×D₁₇	C₂×C₄	1	1	yes	characteristic
34	C₂²×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
36	C₂×C₄²×C₁₇	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄×Dic₁₇	C₈	1	2	yes	—
38	C₂×C₄×Dic₁₇	C₂×C₄	1	1	yes	characteristic
39	C₂²×#3622	C₂×C₄	1	1	yes	characteristic
40	C₂²×#3622	C₂³	1	1	yes	characteristic
41	C₂×C₈×D₁₇	C₈	1	8	yes	—
42	C₂×C₈×D₁₇	C₂×C₄	1	8	yes	—
43	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
44	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
45	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
46	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
47	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
48	C₂×C₈×D₁₇	C₂×C₄	1	1	yes	characteristic
49	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
50	C₂×C₈×D₁₇	C₂³	1	1	yes	characteristic
51	C₄²×D₁₇	C₈	1	2	yes	—
52	C₄²×D₁₇	C₈	1	2	yes	—
53	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
54	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
55	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
56	C₄²×D₁₇	C₂×C₄	1	1	yes	characteristic
57	#10587538	C₂×C₄	1	16	yes	complemented
58	C₂×#63216	C₂³	1	8	yes	—
59	#10587530	C₂×C₄	1	16	yes	complemented
60	#10587529	C₂×C₄	1	16	yes	complemented
61	C₄×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
62	C₄×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
63	C₄×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
64	C₄×C₈×C₁₇	C₂×C₄	1	1	yes	characteristic
65	C₈×Dic₁₇	C₂×C₄	1	1	yes	characteristic
66	C₈×Dic₁₇	C₂×C₄	1	1	yes	characteristic
67	C₈×Dic₁₇	C₂×C₄	1	1	yes	characteristic
68	C₈×Dic₁₇	C₂×C₄	1	1	yes	characteristic
69	C₈×Dic₁₇	C₂×C₄	1	1	yes	characteristic
70	C₈×Dic₁₇	C₂×C₄	1	1	yes	characteristic
71	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
72	C₈×Dic₁₇	C₂³	1	1	yes	characteristic
73	C₄×#3622	C₂×C₄	1	1	yes	characteristic
74	C₄×#3622	C₂×C₄	1	1	yes	characteristic
75	C₄×#3622	C₂³	1	1	yes	characteristic
76	C₄×#3622	C₂³	1	1	yes	characteristic
77	C₂³×D₁₇	C₂×C₈	1	1	yes	characteristic
78	C₂²×C₄×C₁₇	C₂×C₈	1	2	yes	—
79	C₂²×C₄×C₁₇	C₂²×C₄	1	1	yes	characteristic
80	C₂²×Dic₁₇	C₂×C₈	1	2	yes	—
81	C₂²×Dic₁₇	C₂×C₈	1	1	yes	characteristic
82	C₂×C₄×D₁₇	—	2	8	no	—
83	C₂×C₄×D₁₇	C₄²	1	4	yes	—
84	C₂×C₄×D₁₇	C₂×C₈	1	2	yes	—
85	C₂×C₄×D₁₇	C₂×C₈	1	2	yes	—
86	C₂×C₄×D₁₇	C₂×C₈	1	2	yes	—
87	C₂×C₄×D₁₇	C₂×C₈	1	1	yes	characteristic
88	C₂×C₄×D₁₇	C₂×C₈	1	1	yes	characteristic
89	C₂×C₄×D₁₇	C₂×C₈	1	4	yes	—
90	C₂×C₄×D₁₇	C₂×C₈	1	2	yes	—
91	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
92	C₂×C₄×D₁₇	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₈×C₁₇	C₄²	1	4	yes	—
94	C₂×C₈×C₁₇	C₂×C₈	1	4	yes	—
95	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
96	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
97	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
98	C₂×C₈×C₁₇	C₂²×C₄	1	1	yes	characteristic
99	C₄²×C₁₇	C₂×C₈	1	2	yes	—
100	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
101	C₄²×C₁₇	C₂²×C₄	1	1	yes	characteristic
102	C₄×Dic₁₇	C₂×C₈	1	2	yes	—
103	C₄×Dic₁₇	C₂×C₈	1	2	yes	—
104	C₄×Dic₁₇	C₂×C₈	1	2	yes	—
105	C₄×Dic₁₇	C₂×C₈	1	2	yes	—
106	C₄×Dic₁₇	C₂×C₈	1	2	yes	—
107	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
108	C₄×Dic₁₇	C₂²×C₄	1	1	yes	characteristic
109	C₂×#3622	C₂×C₈	1	4	yes	—
110	C₂×#3622	C₂²×C₄	1	1	yes	characteristic
111	C₂×#3622	C₂²×C₄	1	4	yes	—
112	C₂×#3622	C₂²×C₄	1	1	yes	characteristic
113	C₂×#3622	C₂²×C₄	1	1	yes	characteristic
114	C₂×#3622	C₂⁴	1	1	yes	characteristic
115	C₈×D₁₇	C₄²	1	4	yes	—
116	C₈×D₁₇	C₄²	1	4	yes	—
117	C₈×D₁₇	C₂×C₈	1	4	yes	—
118	C₈×D₁₇	C₂×C₈	1	4	yes	—
119	C₈×D₁₇	C₂×C₈	1	4	yes	—
120	C₈×D₁₇	C₂×C₈	1	4	yes	—
121	C₈×D₁₇	C₂²×C₄	1	4	yes	—
122	C₈×D₁₇	C₂²×C₄	1	4	yes	—
123	#63216	C₂²×C₄	1	16	yes	complemented
124	C₂×C₄×M₃₂	—	17	1	no	maximal, Sylow
125	C₂³×C₁₇	C₂²×C₈	1	1	yes	characteristic
126	C₂²×D₁₇	—	2	4	no	—
127	C₂²×D₁₇	C₄×C₈	1	4	yes	—
128	C₂²×D₁₇	C₂²×C₈	1	1	yes	characteristic
129	C₂²×D₁₇	C₂²×C₈	1	1	yes	characteristic
130	C₂×C₄×C₁₇	—	2	4	no	—
131	C₂×C₄×C₁₇	C₂×C₄²	1	2	yes	—
132	C₂×C₄×C₁₇	C₂²×C₈	1	2	yes	—
133	C₂×C₄×C₁₇	C₂²×C₈	1	2	yes	—
134	C₂×C₄×C₁₇	C₂²×C₈	1	1	yes	characteristic
135	C₂×C₄×C₁₇	C₂²×C₈	1	2	yes	—
136	C₂×C₄×C₁₇	C₂³×C₄	1	1	yes	characteristic
137	C₂×Dic₁₇	—	2	4	no	—
138	C₂×Dic₁₇	C₄×C₈	1	4	yes	—
139	C₂×Dic₁₇	C₂²×C₈	1	2	yes	—
140	C₂×Dic₁₇	C₂²×C₈	1	1	yes	characteristic
141	C₂×Dic₁₇	C₂²×C₈	1	1	yes	characteristic
142	C₂×Dic₁₇	C₂²×C₈	1	2	yes	—
143	C₄×D₁₇	—	2	4	no	—
144	C₄×D₁₇	—	2	4	no	—
145	C₄×D₁₇	—	2	4	no	—
146	C₄×D₁₇	C₄×C₈	1	4	yes	—
147	C₄×D₁₇	C₄×C₈	1	4	yes	—
148	C₄×D₁₇	M₃₂	1	8	yes	complemented
149	C₄×D₁₇	C₂×C₄²	1	2	yes	—
150	C₄×D₁₇	C₂×C₄²	1	2	yes	—
151	C₄×D₁₇	C₂²×C₈	1	2	yes	—
152	C₄×D₁₇	C₂²×C₈	1	2	yes	—
153	C₈×C₁₇	C₂×C₄²	1	2	yes	—
154	C₈×C₁₇	C₂×C₄²	1	2	yes	—
155	C₈×C₁₇	C₂²×C₈	1	2	yes	—
156	C₈×C₁₇	C₂²×C₈	1	2	yes	—
157	#3622	C₂×C₄²	1	2	yes	—
158	#3622	C₂²×C₈	1	2	yes	—
159	#3622	C₂²×C₈	1	2	yes	—
160	#3622	C₂³×C₄	1	2	yes	—
161	C₂²×M₃₂	—	17	2	no	—
162	C₂²×C₄×C₈	—	17	1	no	—
163	C₄×M₃₂	—	17	2	no	—
164	C₄×M₃₂	—	17	2	no	—
165	C₄×M₃₂	—	17	2	no	—
166	C₄×M₃₂	—	17	2	no	—
167	C₂×#346	—	17	2	no	—
168	C₂×C₄×C₁₆	—	17	2	no	—
169	C₂²×C₁₇	—	2	2	no	—
170	C₂²×C₁₇	C₂×C₄×C₈	1	2	yes	—
171	C₂²×C₁₇	C₂³×C₈	1	1	yes	characteristic
172	C₂×D₁₇	—	2	2	no	—
173	C₂×D₁₇	—	2	8	no	—
174	C₂×D₁₇	C₂×C₄×C₈	1	2	yes	—
175	C₂×D₁₇	C₂×C₄×C₈	1	2	yes	—
176	C₂×D₁₇	C₂×M₃₂	1	4	yes	—
177	C₄×C₁₇	—	2	2	no	—
178	C₄×C₁₇	C₂×C₄×C₈	1	2	yes	—
179	C₄×C₁₇	C₂×M₃₂	1	4	yes	complemented
180	C₄×C₁₇	C₂²×C₄²	1	1	yes	characteristic
181	C₄×C₁₇	C₂³×C₈	1	1	yes	characteristic
182	Dic₁₇	—	2	2	no	—
183	Dic₁₇	C₂×C₄×C₈	1	2	yes	—
184	Dic₁₇	C₂×C₄×C₈	1	2	yes	—
185	Dic₁₇	C₂×M₃₂	1	4	yes	complemented
186	C₂³×C₈	—	17	1	no	—
187	C₂³×C₈	—	17	1	no	—
188	C₂²×C₄²	—	17	1	no	—
189	C₂×M₃₂	—	17	4	no	—
190	C₂×M₃₂	—	17	4	no	—
191	C₂×M₃₂	—	17	16	no	—
192	C₂²×C₁₆	—	17	4	no	—
193	C₂×C₄×C₈	—	17	1	no	—
194	C₂×C₄×C₈	—	17	1	no	—
195	C₂×C₄×C₈	—	17	1	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	1	no	—
201	C₂×C₄×C₈	—	17	1	no	—
202	C₂×C₄×C₈	—	17	1	no	—
203	C₂×C₄×C₈	—	17	1	no	—
204	C₂×C₄×C₈	#595	1	1	yes	characteristic
205	#346	—	17	4	no	—
206	#346	—	17	4	no	—
207	C₄×C₁₆	—	17	4	no	—
208	C₄×C₁₆	—	17	4	no	—
209	C₂×C₁₇	—	2	2	no	—
210	C₂×C₁₇	C₂²×C₄×C₈	1	1	yes	characteristic
211	C₂×C₁₇	C₂²×M₃₂	1	2	yes	—
212	D₁₇	—	2	2	no	—
213	D₁₇	C₄×M₃₂	1	4	yes	complemented
214	C₂³×C₄	—	17	1	no	—
215	C₂³×C₄	—	17	2	no	—
216	C₂²×C₈	—	17	1	no	—
217	C₂²×C₈	—	17	1	no	—
218	C₂²×C₈	—	17	8	no	—
219	C₂²×C₈	—	17	8	no	—
220	C₂²×C₈	—	17	1	no	—
221	C₂²×C₈	—	17	1	no	—
222	C₂²×C₈	—	17	1	no	—
223	C₂²×C₈	—	17	1	no	—
224	C₂²×C₈	—	17	1	no	—
225	C₂²×C₈	—	17	1	no	—
226	C₂²×C₈	—	17	1	no	—
227	C₂²×C₈	—	17	1	no	—
228	C₂²×C₈	C₂×#595	1	1	yes	characteristic
229	C₂²×C₈	C₂×#595	1	1	yes	characteristic
230	C₂×C₄²	—	17	2	no	—
231	C₂×C₄²	—	17	1	no	—
232	C₂×C₄²	—	17	2	no	—
233	C₂×C₄²	—	17	2	no	—
234	C₂×C₄²	—	17	1	no	—
235	C₂×C₄²	—	17	1	no	—
236	C₂×C₄²	—	17	1	no	—
237	C₂×C₄²	—	17	1	no	—
238	C₂×C₄²	C₂×#595	1	1	yes	characteristic
239	M₃₂	—	17	16	no	—
240	M₃₂	—	17	16	no	—
241	C₂×C₁₆	—	17	8	no	—
242	C₂×C₁₆	—	17	16	no	—
243	C₄×C₈	—	17	1	no	—
244	C₄×C₈	—	17	1	no	—
245	C₄×C₈	—	17	1	no	—
246	C₄×C₈	—	17	1	no	—
247	C₄×C₈	—	17	1	no	—
248	C₄×C₈	—	17	1	no	—
249	C₄×C₈	—	17	1	no	—
250	C₄×C₈	—	17	1	no	—
251	C₄×C₈	—	17	1	no	—
252	C₄×C₈	—	17	1	no	—
253	C₄×C₈	—	17	1	no	—
254	C₄×C₈	—	17	1	no	—
255	C₄×C₈	C₂×#595	1	1	yes	characteristic
256	C₄×C₈	C₂×#595	1	1	yes	characteristic
257	C₄×C₈	C₂×#595	1	1	yes	characteristic
258	C₄×C₈	C₂×#595	1	1	yes	characteristic
259	C₁₇	C₂×C₄×M₃₂	1	1	yes	characteristic, complemented, Sylow
260	C₂⁴	—	17	1	no	—
261	C₂²×C₄	—	17	1	no	—
262	C₂²×C₄	—	17	1	no	—
263	C₂²×C₄	—	17	1	no	—
264	C₂²×C₄	—	17	2	no	—
265	C₂²×C₄	—	17	4	no	—
266	C₂²×C₄	—	17	4	no	—
267	C₂²×C₄	—	17	1	no	—
268	C₂²×C₄	—	17	1	no	—
269	C₂²×C₄	—	17	2	no	—
270	C₂²×C₄	—	17	2	no	—
271	C₂²×C₄	—	17	2	no	—
272	C₂²×C₄	—	17	2	no	—
273	C₂²×C₄	—	34	8	no	—
274	C₂²×C₄	#63242	1	2	yes	—
275	C₂²×C₄	C₂²×#595	1	1	yes	characteristic
276	C₂×C₈	—	17	4	no	—
277	C₂×C₈	—	17	4	no	—
278	C₂×C₈	—	17	1	no	—
279	C₂×C₈	—	17	1	no	—
280	C₂×C₈	—	17	1	no	—
281	C₂×C₈	—	17	1	no	—
282	C₂×C₈	—	17	4	no	—
283	C₂×C₈	—	17	4	no	—
284	C₂×C₈	—	17	4	no	—
285	C₂×C₈	—	17	4	no	—
286	C₂×C₈	—	17	4	no	—
287	C₂×C₈	—	17	4	no	—
288	C₂×C₈	—	17	4	no	—
289	C₂×C₈	—	17	4	no	—
290	C₂×C₈	#63242	1	4	yes	—
291	C₂×C₈	C₄×#595	1	4	yes	—
292	C₂×C₈	C₂²×#595	1	1	yes	characteristic
293	C₂×C₈	C₂²×#595	1	1	yes	characteristic
294	C₂×C₈	C₂²×#595	1	1	yes	characteristic
295	C₂×C₈	C₂²×#595	1	1	yes	characteristic
296	C₄²	—	17	2	no	—
297	C₄²	—	17	2	no	—
298	C₄²	—	17	2	no	—
299	C₄²	—	17	2	no	—
300	C₄²	—	17	2	no	—
301	C₄²	—	17	1	no	—
302	C₄²	—	17	1	no	—
303	C₄²	#63242	1	2	yes	—
304	C₄²	C₂²×#595	1	1	yes	characteristic
305	C₄²	C₂²×#595	1	1	yes	characteristic
306	C₁₆	—	17	16	no	—
307	C₂³	—	17	1	no	—
308	C₂³	—	17	4	no	—
309	C₂³	—	17	1	no	—
310	C₂³	—	34	4	no	—
311	C₂³	C₂×#63242	1	1	yes	characteristic
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	17	4	no	—
314	C₂×C₄	—	17	2	no	—
315	C₂×C₄	—	17	1	no	—
316	C₂×C₄	—	17	1	no	—
317	C₂×C₄	—	17	4	no	—
318	C₂×C₄	—	17	4	no	—
319	C₂×C₄	—	17	8	no	—
320	C₂×C₄	—	17	2	no	—
321	C₂×C₄	—	17	2	no	—
322	C₂×C₄	—	17	2	no	—
323	C₂×C₄	—	17	2	no	—
324	C₂×C₄	—	17	2	no	—
325	C₂×C₄	—	34	4	no	—
326	C₂×C₄	—	34	4	no	—
327	C₂×C₄	—	34	4	no	—
328	C₂×C₄	—	34	4	no	—
329	C₂×C₄	C₂×#63242	1	2	yes	—
330	C₂×C₄	C₂×#63242	1	1	yes	characteristic
331	C₂×C₄	C₂×#63242	1	2	yes	—
332	C₂×C₄	C₂×#63242	1	2	yes	—
333	C₂×C₄	C₂×C₄×#595	1	2	yes	—
334	C₂×C₄	C₂³×#595	1	1	yes	characteristic
335	C₈	—	17	2	no	—
336	C₈	—	17	2	no	—
337	C₈	—	17	2	no	—
338	C₈	—	17	2	no	—
339	C₈	C₂×#63242	1	2	yes	—
340	C₈	C₂×#63242	1	2	yes	—
341	C₈	C₂×C₄×#595	1	2	yes	—
342	C₈	C₂×C₄×#595	1	2	yes	—
343	C₂²	—	2	2	no	—
344	C₂²	—	17	4	no	—
345	C₂²	—	17	2	no	—
346	C₂²	—	17	2	no	—
347	C₂²	—	34	8	no	—
348	C₂²	—	34	2	no	—
349	C₂²	C₄×#63242	1	2	yes	—
350	C₂²	C₂²×#63242	1	1	yes	characteristic
351	C₄	—	2	2	no	—
352	C₄	—	17	4	no	—
353	C₄	—	17	2	no	—
354	C₄	—	17	2	no	—
355	C₄	—	34	2	no	—
356	C₄	C₄×#63242	1	2	yes	—
357	C₄	#11763865	1	4	yes	direct product factor
358	C₄	C₂²×C₄×#595	1	1	yes	characteristic
359	C₄	C₂²×#63242	1	1	yes	characteristic
360	C₂	—	2	2	no	—
361	C₂	—	17	4	no	—
362	C₂	—	34	2	no	—
363	C₂	C₂×C₄×#63242	1	1	yes	characteristic
364	C₂	C₂×#11763865	1	2	yes	—

	subgroup	G/H
center	C₄×C₈	C₂×#595
commutator	C₂×C₁₇	C₂²×C₄×C₈
Frattini	C₂×C₄	C₂³×#595
Fitting	C₂×C₄×C₈×C₁₇	C₄
socle	C₂²×C₁₇	C₂³×C₈
prime radical	C₂³×D₁₇	C₂×C₈
cosocle	C₂×#3622	C₂⁴
hypercenter	C₂×C₄×C₈	#595
hypocenter	C₁₇	C₂×C₄×M₃₂
LCS	G ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₄×C₈ ◁ C₂×C₄×C₈

Complements

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

N	H ≅ G/N	type
2. #14544991	C₂	semidirect
3. #14544990	C₂	semidirect
4. C₄×#10587530	C₂	semidirect
5. C₄×#10587538	C₂	semidirect
6. #14544985	C₂	semidirect
7. C₄×#10587529	C₂	semidirect
10. #11763865	C₄	direct (N × H)
13. #11763698	C₂²	semidirect
14. #11763697	C₂²	semidirect
15. #11763695	C₂²	semidirect
16. C₄×#63216	C₂²	semidirect
57. #10587538	C₂×C₄	semidirect
59. #10587530	C₂×C₄	semidirect
60. #10587529	C₂×C₄	semidirect
123. #63216	C₂²×C₄	semidirect
148. C₄×D₁₇	M₃₂	semidirect
179. C₄×C₁₇	C₂×M₃₂	semidirect
185. Dic₁₇	C₂×M₃₂	semidirect
213. D₁₇	C₄×M₃₂	semidirect
259. C₁₇	C₂×C₄×M₃₂	semidirect
357. C₄	#11763865	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
#14544991	2
#14544990	2
C₄×#10587530	2
C₄×#10587538	2
#14544985	2
C₄×#10587529	2
C₂×C₄×C₈×D₁₇	2
C₂×C₄×M₃₂	17

Subgroups — C4×#11763865 #17978123

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#11763865 #17978123