Subgroups — C₂³×C₄×C₂²⋊D₁₇ #17940887

Order 4352.

19998 conjugacy classes of subgroups.

The subgroup lattice has 288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×C₂²⋊D₁₇	C₂	1	1	yes	maximal, characteristic
2	C₂⁴×C₄×D₁₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×C₂²⋊D₁₇	C₂	1	56	yes	maximal, direct product factor
4	C₂³×#63225	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂³×C₂²⋊Dic₁₇	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂³×#63227	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂³×C₄×Dic₁₇	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂⁵×C₄×C₁₇	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂⁵×D₁₇	C₂²	1	1	yes	characteristic
10	C₂³×C₂²⋊D₁₇	C₄	1	32	yes	direct product factor
11	C₂³×C₂²⋊D₁₇	C₂²	1	28	yes	—
12	C₂⁴×Dic₁₇	C₂²	1	1	yes	characteristic
13	C₂⁴×Dic₁₇	C₂²	1	1	yes	characteristic
14	C₂⁴×Dic₁₇	C₂²	1	1	yes	characteristic
15	C₂³×C₄×D₁₇	—	2	16	no	—
16	C₂³×C₄×D₁₇	C₂²	1	28	yes	complemented
17	C₂×C₄×C₂²⋊D₁₇	C₂²	1	448	yes	direct product factor
18	C₂²×#63225	C₂²	1	28	yes	complemented
19	C₂²×C₂²⋊Dic₁₇	C₂²	1	28	yes	complemented
20	C₂²×#63227	C₂²	1	28	yes	complemented
21	C₂²×C₄×Dic₁₇	C₂²	1	28	yes	complemented
22	C₂⁶×C₁₇	C₂²	1	1	yes	characteristic
23	C₂⁴×C₄×C₁₇	—	2	16	no	—
24	C₂⁴×C₄×C₁₇	C₂²	1	1	yes	characteristic
25	C₂⁴×C₄×C₁₇	C₂²	1	1	yes	characteristic
26	C₂⁴×C₄×C₁₇	C₂²	1	28	yes	complemented
27	C₂⁵×C₁₇	—	2	8	no	—
28	C₂⁵×C₁₇	—	2	8	no	—
29	C₂⁵×C₁₇	C₂×C₄	1	16	yes	complemented
30	C₂⁵×C₁₇	C₂³	1	14	yes	—
31	C₂⁵×C₁₇	C₂³	1	1	yes	characteristic
32	C₂⁴×D₁₇	—	2	8	no	—
33	C₂⁴×D₁₇	—	2	8	no	—
34	C₂⁴×D₁₇	C₂×C₄	1	16	yes	complemented
35	C₂⁴×D₁₇	C₂³	1	14	yes	—
36	C₂³×C₄×C₁₇	—	2	8	no	—
37	C₂³×C₄×C₁₇	—	2	224	no	—
38	C₂³×C₄×C₁₇	D₄	1	16	yes	complemented
39	C₂³×C₄×C₁₇	C₂³	1	14	yes	—
40	C₂³×C₄×C₁₇	C₂³	1	14	yes	—
41	C₂³×C₄×C₁₇	C₂³	1	112	yes	complemented
42	C₂²×C₂²⋊D₁₇	C₂×C₄	1	448	yes	direct product factor
43	C₂²×C₂²⋊D₁₇	C₂³	1	112	yes	—
44	C₂³×Dic₁₇	—	2	8	no	—
45	C₂³×Dic₁₇	—	2	8	no	—
46	C₂³×Dic₁₇	C₂×C₄	1	16	yes	complemented
47	C₂³×Dic₁₇	C₂³	1	14	yes	—
48	C₂³×Dic₁₇	C₂³	1	14	yes	—
49	C₂³×Dic₁₇	C₂³	1	14	yes	—
50	C₂²×C₄×D₁₇	—	2	224	no	—
51	C₂²×C₄×D₁₇	C₂³	1	112	yes	complemented
52	C₂×C₂²⋊Dic₁₇	C₂³	1	112	yes	complemented
53	C₄×C₂²⋊D₁₇	C₂³	1	512	yes	direct product factor
54	C₂×#63227	C₂³	1	112	yes	complemented
55	C₂×#63225	C₂³	1	112	yes	complemented
56	C₂×C₄×Dic₁₇	C₂³	1	112	yes	complemented
57	C₂⁴×C₁₇	—	2	128	no	—
58	C₂⁴×C₁₇	—	2	56	no	—
59	C₂⁴×C₁₇	—	2	56	no	—
60	C₂⁴×C₁₇	C₂²×C₄	1	8	yes	—
61	C₂⁴×C₁₇	C₂²×C₄	1	112	yes	complemented
62	C₂⁴×C₁₇	C₂×D₄	1	8	yes	—
63	C₂⁴×C₁₇	#41	1	8	yes	—
64	C₂⁴×C₁₇	C₂⁴	1	28	yes	—
65	C₂⁴×C₁₇	C₂⁴	1	7	yes	—
66	C₂³×D₁₇	—	2	128	no	—
67	C₂³×D₁₇	—	2	56	no	—
68	C₂³×D₁₇	—	2	56	no	—
69	C₂³×D₁₇	C₂²×C₄	1	112	yes	complemented
70	C₂³×D₁₇	C₂⁴	1	28	yes	—
71	C₂²×C₄×C₁₇	—	2	56	no	—
72	C₂²×C₄×C₁₇	—	2	448	no	—
73	C₂²×C₄×C₁₇	C₂×D₄	1	112	yes	complemented
74	C₂²×C₄×C₁₇	C₂⁴	1	28	yes	—
75	C₂²×C₄×C₁₇	C₂⁴	1	28	yes	—
76	C₂²×C₄×C₁₇	C₂⁴	1	64	yes	complemented
77	C₂×C₂²⋊D₁₇	C₂²×C₄	1	896	yes	direct product factor
78	C₂×C₂²⋊D₁₇	C₂⁴	1	64	yes	—
79	C₂²×Dic₁₇	—	2	56	no	—
80	C₂²×Dic₁₇	—	2	56	no	—
81	C₂²×Dic₁₇	C₂²×C₄	1	112	yes	complemented
82	C₂²×Dic₁₇	C₂⁴	1	28	yes	—
83	C₂²×Dic₁₇	C₂⁴	1	28	yes	—
84	C₂²×Dic₁₇	C₂⁴	1	28	yes	—
85	C₂×C₄×D₁₇	—	2	448	no	—
86	C₂×C₄×D₁₇	C₂⁴	1	64	yes	complemented
87	C₂²⋊Dic₁₇	C₂⁴	1	64	yes	complemented
88	#63227	C₂⁴	1	64	yes	complemented
89	#63225	C₂⁴	1	64	yes	complemented
90	C₄×Dic₁₇	C₂⁴	1	64	yes	complemented
91	C₂³×C₄×D₄	—	17	1	no	maximal, Sylow
92	C₂³×C₁₇	—	2	448	no	—
93	C₂³×C₁₇	—	2	56	no	—
94	C₂³×C₁₇	—	2	56	no	—
95	C₂³×C₁₇	C₄×D₄	1	64	yes	complemented
96	C₂³×C₁₇	C₂³×C₄	1	28	yes	—
97	C₂³×C₁₇	C₂³×C₄	1	112	yes	complemented
98	C₂³×C₁₇	C₂²×D₄	1	28	yes	—
99	C₂³×C₁₇	C₂×#41	1	28	yes	—
100	C₂³×C₁₇	C₂⁵	1	8	yes	—
101	C₂³×C₁₇	C₂⁵	1	7	yes	—
102	C₂²×D₁₇	—	2	448	no	—
103	C₂²×D₁₇	—	2	56	no	—
104	C₂²×D₁₇	—	2	56	no	—
105	C₂²×D₁₇	C₂³×C₄	1	112	yes	complemented
106	C₂²×D₁₇	C₂⁵	1	8	yes	—
107	C₂×C₄×C₁₇	—	2	56	no	—
108	C₂×C₄×C₁₇	—	2	128	no	—
109	C₂×C₄×C₁₇	C₂²×D₄	1	112	yes	complemented
110	C₂×C₄×C₁₇	C₂⁵	1	8	yes	—
111	C₂×C₄×C₁₇	C₂⁵	1	8	yes	—
112	C₂²⋊D₁₇	C₂³×C₄	1	256	yes	direct product factor
113	C₂×Dic₁₇	—	2	56	no	—
114	C₂×Dic₁₇	—	2	56	no	—
115	C₂×Dic₁₇	C₂³×C₄	1	112	yes	complemented
116	C₂×Dic₁₇	C₂⁵	1	8	yes	—
117	C₂×Dic₁₇	C₂⁵	1	8	yes	—
118	C₂×Dic₁₇	C₂⁵	1	8	yes	—
119	C₄×D₁₇	—	2	128	no	—
120	C₂⁴×D₄	—	17	1	no	—
121	C₂⁵×C₄	—	17	1	no	—
122	C₂⁵×C₄	D₁₇	1	1	yes	characteristic, complemented
123	C₂²×C₄×D₄	—	17	56	no	—
124	C₂³×C₄⋊C₄	—	17	1	no	—
125	C₂³×C₂²⋊C₄	—	17	1	no	—
126	C₂³×C₂²⋊C₄	—	17	1	no	—
127	C₂³×C₄²	—	17	1	no	—
128	C₂²×C₁₇	—	2	8	no	—
129	C₂²×C₁₇	—	2	8	no	—
130	C₂²×C₁₇	—	2	224	no	—
131	C₂²×C₁₇	C₂×C₄×D₄	1	112	yes	complemented
132	C₂²×C₁₇	C₂⁴×C₄	1	14	yes	—
133	C₂²×C₁₇	C₂⁴×C₄	1	16	yes	complemented
134	C₂²×C₁₇	C₂³×D₄	1	14	yes	—
135	C₂²×C₁₇	C₂²×#41	1	14	yes	—
136	C₂²×C₁₇	C₂⁶	1	1	yes	characteristic
137	C₂×D₁₇	—	2	8	no	—
138	C₂×D₁₇	—	2	8	no	—
139	C₂×D₁₇	—	2	224	no	—
140	C₂×D₁₇	C₂⁴×C₄	1	16	yes	complemented
141	C₄×C₁₇	—	2	8	no	—
142	C₄×C₁₇	C₂³×D₄	1	16	yes	complemented
143	Dic₁₇	—	2	8	no	—
144	Dic₁₇	—	2	8	no	—
145	Dic₁₇	C₂⁴×C₄	1	16	yes	complemented
146	C₂⁶	—	17	1	no	—
147	C₂⁶	C₂×D₁₇	1	1	yes	characteristic
148	C₂³×D₄	—	17	32	no	—
149	C₂³×D₄	—	17	28	no	—
150	C₂⁴×C₄	—	2	16	no	—
151	C₂⁴×C₄	—	17	1	no	—
152	C₂⁴×C₄	—	17	1	no	—
153	C₂⁴×C₄	—	17	1	no	—
154	C₂⁴×C₄	—	17	28	no	—
155	C₂⁴×C₄	—	34	16	no	—
156	C₂⁴×C₄	C₂×D₁₇	1	1	yes	characteristic
157	C₂⁴×C₄	C₂×D₁₇	1	1	yes	characteristic
158	C₂⁴×C₄	C₂×D₁₇	1	28	yes	complemented
159	C₂×C₄×D₄	—	17	448	no	—
160	C₂²×C₄⋊C₄	—	17	28	no	—
161	C₂²×C₂²⋊C₄	—	17	28	no	—
162	C₂²×C₂²⋊C₄	—	17	28	no	—
163	C₂²×C₄²	—	17	28	no	—
164	C₂×C₁₇	—	2	16	no	—
165	C₂×C₁₇	C₂²×C₄×D₄	1	28	yes	complemented
166	C₂×C₁₇	C₂⁵×C₄	1	1	yes	characteristic
167	C₂×C₁₇	C₂⁴×D₄	1	1	yes	characteristic
168	C₂×C₁₇	C₂³×#41	1	1	yes	characteristic
169	D₁₇	—	2	16	no	—
170	C₂⁵	—	2	8	no	—
171	C₂⁵	—	2	8	no	—
172	C₂⁵	—	17	16	no	—
173	C₂⁵	—	17	14	no	—
174	C₂⁵	—	34	8	no	—
175	C₂⁵	—	34	8	no	—
176	C₂⁵	C₄×D₁₇	1	16	yes	complemented
177	C₂⁵	C₂²×D₁₇	1	14	yes	—
178	C₂⁵	C₂²×D₁₇	1	1	yes	characteristic
179	C₂²×D₄	—	17	448	no	—
180	C₂²×D₄	—	17	112	no	—
181	C₂³×C₄	—	2	8	no	—
182	C₂³×C₄	—	2	224	no	—
183	C₂³×C₄	—	17	16	no	—
184	C₂³×C₄	—	17	14	no	—
185	C₂³×C₄	—	17	14	no	—
186	C₂³×C₄	—	17	14	no	—
187	C₂³×C₄	—	17	112	no	—
188	C₂³×C₄	—	34	8	no	—
189	C₂³×C₄	—	34	8	no	—
190	C₂³×C₄	—	34	224	no	—
191	C₂³×C₄	C₂²⋊D₁₇	1	16	yes	direct product factor
192	C₂³×C₄	C₂²×D₁₇	1	14	yes	—
193	C₂³×C₄	C₂²×D₁₇	1	14	yes	—
194	C₂³×C₄	C₂²×D₁₇	1	112	yes	complemented
195	C₄×D₄	—	17	512	no	—
196	C₂×C₄⋊C₄	—	17	112	no	—
197	C₂×C₂²⋊C₄	—	17	112	no	—
198	C₂×C₂²⋊C₄	—	17	112	no	—
199	C₂×C₄²	—	17	112	no	—
200	C₁₇	C₂³×C₄×D₄	1	1	yes	characteristic, complemented, Sylow
201	C₂⁴	—	2	56	no	—
202	C₂⁴	—	2	56	no	—
203	C₂⁴	—	2	128	no	—
204	C₂⁴	—	17	112	no	—
205	C₂⁴	—	17	28	no	—
206	C₂⁴	—	34	56	no	—
207	C₂⁴	—	34	56	no	—
208	C₂⁴	—	34	128	no	—
209	C₂⁴	C₂×C₄×D₁₇	1	8	yes	—
210	C₂⁴	C₂×C₄×D₁₇	1	112	yes	complemented
211	C₂⁴	#63252	1	8	yes	—
212	C₂⁴	C₂×C₂²⋊D₁₇	1	8	yes	—
213	C₂⁴	C₂³×D₁₇	1	28	yes	—
214	C₂⁴	C₂³×D₁₇	1	7	yes	—
215	C₂×D₄	—	17	896	no	—
216	C₂×D₄	—	17	64	no	—
217	C₂²×C₄	—	2	56	no	—
218	C₂²×C₄	—	2	448	no	—
219	C₂²×C₄	—	17	112	no	—
220	C₂²×C₄	—	17	28	no	—
221	C₂²×C₄	—	17	28	no	—
222	C₂²×C₄	—	17	28	no	—
223	C₂²×C₄	—	17	64	no	—
224	C₂²×C₄	—	34	56	no	—
225	C₂²×C₄	—	34	56	no	—
226	C₂²×C₄	—	34	448	no	—
227	C₂²×C₄	C₂×C₂²⋊D₁₇	1	112	yes	direct product factor
228	C₂²×C₄	C₂³×D₁₇	1	28	yes	—
229	C₂²×C₄	C₂³×D₁₇	1	28	yes	—
230	C₂²×C₄	C₂³×D₁₇	1	64	yes	complemented
231	C₄⋊C₄	—	17	64	no	—
232	C₂²⋊C₄	—	17	64	no	—
233	C₂²⋊C₄	—	17	64	no	—
234	C₄²	—	17	64	no	—
235	C₂³	—	2	448	no	—
236	C₂³	—	2	56	no	—
237	C₂³	—	2	56	no	—
238	C₂³	—	17	112	no	—
239	C₂³	—	17	8	no	—
240	C₂³	—	34	448	no	—
241	C₂³	—	34	56	no	—
242	C₂³	—	34	56	no	—
243	C₂³	C₄×C₂²⋊D₁₇	1	64	yes	direct product factor
244	C₂³	C₂²×C₄×D₁₇	1	28	yes	—
245	C₂³	C₂²×C₄×D₁₇	1	112	yes	complemented
246	C₂³	C₂×#63252	1	28	yes	—
247	C₂³	C₂²×C₂²⋊D₁₇	1	28	yes	—
248	C₂³	C₂⁴×D₁₇	1	8	yes	—
249	C₂³	C₂⁴×D₁₇	1	7	yes	—
250	D₄	—	17	256	no	—
251	C₂×C₄	—	2	56	no	—
252	C₂×C₄	—	2	128	no	—
253	C₂×C₄	—	17	112	no	—
254	C₂×C₄	—	17	8	no	—
255	C₂×C₄	—	17	8	no	—
256	C₂×C₄	—	17	8	no	—
257	C₂×C₄	—	34	56	no	—
258	C₂×C₄	—	34	56	no	—
259	C₂×C₄	—	34	128	no	—
260	C₂×C₄	C₂²×C₂²⋊D₁₇	1	112	yes	direct product factor
261	C₂×C₄	C₂⁴×D₁₇	1	8	yes	—
262	C₂×C₄	C₂⁴×D₁₇	1	8	yes	—
263	C₂²	—	2	224	no	—
264	C₂²	—	2	8	no	—
265	C₂²	—	2	8	no	—
266	C₂²	—	17	16	no	—
267	C₂²	—	34	224	no	—
268	C₂²	—	34	8	no	—
269	C₂²	—	34	8	no	—
270	C₂²	C₂×C₄×C₂²⋊D₁₇	1	112	yes	direct product factor
271	C₂²	C₂³×C₄×D₁₇	1	14	yes	—
272	C₂²	C₂³×C₄×D₁₇	1	16	yes	complemented
273	C₂²	C₂³×C₂²⋊D₁₇	1	14	yes	—
274	C₂²	C₂²×#63252	1	14	yes	—
275	C₂²	C₂⁵×D₁₇	1	1	yes	characteristic
276	C₄	—	2	8	no	—
277	C₄	—	17	16	no	—
278	C₄	—	34	8	no	—
279	C₄	—	34	8	no	—
280	C₄	C₂³×C₂²⋊D₁₇	1	16	yes	direct product factor
281	C₂	—	2	16	no	—
282	C₂	—	34	16	no	—
283	C₂	C₂²×C₄×C₂²⋊D₁₇	1	28	yes	direct product factor
284	C₂	C₂⁴×C₄×D₁₇	1	1	yes	characteristic
285	C₂	C₂⁴×C₂²⋊D₁₇	1	1	yes	characteristic
286	C₂	C₂³×#63252	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴×C₄	C₂×D₁₇
commutator	C₂×C₁₇	C₂⁵×C₄
Frattini	C₂²	C₂⁵×D₁₇
Fitting	C₂⁵×C₄×C₁₇	C₂
socle	C₂⁵×C₁₇	C₂³
prime radical	C₂⁴×C₂²⋊D₁₇	C₂
cosocle	C₂²×C₁₇	C₂⁶
hypercenter	C₂⁵×C₄	D₁₇
hypocenter	C₁₇	C₂³×C₄×D₄
LCS	G ▷ C₂×C₁₇ ▷ C₁₇
UCS	C₁ ◁ C₂⁴×C₄ ◁ C₂⁵×C₄

Complements

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

N	H ≅ G/N	type
2. C₂⁴×C₄×D₁₇	C₂	semidirect
3. C₂²×C₄×C₂²⋊D₁₇	C₂	direct (N × H)
4. C₂³×#63225	C₂	semidirect
5. C₂³×C₂²⋊Dic₁₇	C₂	semidirect
6. C₂³×#63227	C₂	semidirect
7. C₂³×C₄×Dic₁₇	C₂	semidirect
8. C₂⁵×C₄×C₁₇	C₂	semidirect
10. C₂³×C₂²⋊D₁₇	C₄	direct (N × H)
16. C₂³×C₄×D₁₇	C₂²	semidirect
17. C₂×C₄×C₂²⋊D₁₇	C₂²	direct (N × H)
18. C₂²×#63225	C₂²	semidirect
19. C₂²×C₂²⋊Dic₁₇	C₂²	semidirect
20. C₂²×#63227	C₂²	semidirect
21. C₂²×C₄×Dic₁₇	C₂²	semidirect
26. C₂⁴×C₄×C₁₇	C₂²	semidirect
29. C₂⁵×C₁₇	C₂×C₄	semidirect
34. C₂⁴×D₁₇	C₂×C₄	semidirect
38. C₂³×C₄×C₁₇	D₄	semidirect
41. C₂³×C₄×C₁₇	C₂³	semidirect
42. C₂²×C₂²⋊D₁₇	C₂×C₄	direct (N × H)
46. C₂³×Dic₁₇	C₂×C₄	semidirect
51. C₂²×C₄×D₁₇	C₂³	semidirect
52. C₂×C₂²⋊Dic₁₇	C₂³	semidirect
53. C₄×C₂²⋊D₁₇	C₂³	direct (N × H)
54. C₂×#63227	C₂³	semidirect
55. C₂×#63225	C₂³	semidirect
56. C₂×C₄×Dic₁₇	C₂³	semidirect
61. C₂⁴×C₁₇	C₂²×C₄	semidirect
69. C₂³×D₁₇	C₂²×C₄	semidirect
73. C₂²×C₄×C₁₇	C₂×D₄	semidirect
76. C₂²×C₄×C₁₇	C₂⁴	semidirect
77. C₂×C₂²⋊D₁₇	C₂²×C₄	direct (N × H)
81. C₂²×Dic₁₇	C₂²×C₄	semidirect
86. C₂×C₄×D₁₇	C₂⁴	semidirect
87. C₂²⋊Dic₁₇	C₂⁴	semidirect
88. #63227	C₂⁴	semidirect
89. #63225	C₂⁴	semidirect
90. C₄×Dic₁₇	C₂⁴	semidirect
95. C₂³×C₁₇	C₄×D₄	semidirect
97. C₂³×C₁₇	C₂³×C₄	semidirect
105. C₂²×D₁₇	C₂³×C₄	semidirect
109. C₂×C₄×C₁₇	C₂²×D₄	semidirect
112. C₂²⋊D₁₇	C₂³×C₄	direct (N × H)
115. C₂×Dic₁₇	C₂³×C₄	semidirect
122. C₂⁵×C₄	D₁₇	semidirect
131. C₂²×C₁₇	C₂×C₄×D₄	semidirect
133. C₂²×C₁₇	C₂⁴×C₄	semidirect
140. C₂×D₁₇	C₂⁴×C₄	semidirect
142. C₄×C₁₇	C₂³×D₄	semidirect
145. Dic₁₇	C₂⁴×C₄	semidirect
158. C₂⁴×C₄	C₂×D₁₇	semidirect
165. C₂×C₁₇	C₂²×C₄×D₄	semidirect
176. C₂⁵	C₄×D₁₇	semidirect
191. C₂³×C₄	C₂²⋊D₁₇	direct (N × H)
194. C₂³×C₄	C₂²×D₁₇	semidirect
200. C₁₇	C₂³×C₄×D₄	semidirect
210. C₂⁴	C₂×C₄×D₁₇	semidirect
227. C₂²×C₄	C₂×C₂²⋊D₁₇	direct (N × H)
230. C₂²×C₄	C₂³×D₁₇	semidirect
243. C₂³	C₄×C₂²⋊D₁₇	direct (N × H)
245. C₂³	C₂²×C₄×D₁₇	semidirect
260. C₂×C₄	C₂²×C₂²⋊D₁₇	direct (N × H)
270. C₂²	C₂×C₄×C₂²⋊D₁₇	direct (N × H)
272. C₂²	C₂³×C₄×D₁₇	semidirect
280. C₄	C₂³×C₂²⋊D₁₇	direct (N × H)
283. C₂	C₂²×C₄×C₂²⋊D₁₇	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁴×C₂²⋊D₁₇	2
C₂⁴×C₄×D₁₇	2
C₂²×C₄×C₂²⋊D₁₇	2
C₂³×#63225	2
C₂³×C₂²⋊Dic₁₇	2
C₂³×#63227	2
C₂³×C₄×Dic₁₇	2
C₂⁵×C₄×C₁₇	2
C₂³×C₄×D₄	17

Subgroups — C23×C4×C22⋊D17 #17940887

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂³×C₄×C₂²⋊D₁₇ #17940887