Subgroups — C₃×C₅×D₄×SD₁₆ #14276315

Order 1920.

1092 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×C₅×SD₁₆	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×D₄×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₅×D₄²	C₂	1	1	yes	maximal, characteristic
4	C₃×C₅×#492	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×#465	C₂	1	2	yes	maximal, complemented
6	C₃×C₅×#461	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×C₅×#460	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₅×#450	C₂	1	2	yes	maximal, complemented
9	C₃×C₅×#448	C₂	1	2	yes	maximal, complemented
10	C₃×C₄×C₅×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×C₅×C₈×D₄	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×D₄×SD₁₆	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
13	C₂²×C₃×C₅×Q₈	C₂²	1	2	yes	complemented
14	C₂²×C₃×C₅×D₄	—	2	1	no	—
15	C₂²×C₃×C₅×D₄	C₂²	1	2	yes	—
16	C₂×C₃×C₅×SD₁₆	—	2	8	no	—
17	C₂×C₃×C₅×SD₁₆	C₂²	1	2	yes	—
18	C₂×C₃×C₅×SD₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₃×C₅×SD₁₆	C₂²	1	2	yes	complemented
20	C₂×C₃×C₅×SD₁₆	C₂²	1	2	yes	complemented
21	C₂×C₃×C₅×SD₁₆	C₂²	1	2	yes	complemented
22	C₂²×C₃×C₅×C₈	C₂²	1	2	yes	complemented
23	C₃×C₅×C₄⋊Q₈	—	2	1	no	—
24	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₃×C₅×#127	C₂²	1	1	yes	characteristic
26	C₃×C₅×C₂²⋊Q₈	—	2	2	no	—
27	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
28	C₃×C₅×#121	—	2	1	no	—
29	C₃×C₅×#121	C₂²	1	2	yes	—
30	C₃×C₅×#120	—	2	2	no	—
31	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₃×C₄×C₅×D₄	—	2	1	no	—
33	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
34	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
35	C₃×C₅×#106	C₂²	1	1	yes	characteristic, complemented
36	C₃×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
37	C₃×C₅×#103	C₂²	1	2	yes	complemented
38	C₃×C₅×#103	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₅×#102	C₂²	1	1	yes	characteristic
40	C₃×C₅×#102	C₂²	1	2	yes	complemented
41	C₃×C₅×C₂²⋊C₈	C₂²	1	2	yes	complemented
42	C₃×C₄×C₅×C₈	C₂²	1	1	yes	characteristic, complemented
43	C₃×D₄×SD₁₆	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
44	C₂²×C₅×SD₁₆	C₂×C₃	1	2	yes	complemented
45	C₅×D₄×Q₈	C₂×C₃	1	1	yes	characteristic, complemented
46	C₅×D₄²	C₂×C₃	1	1	yes	characteristic
47	C₅×#492	C₂×C₃	1	1	yes	characteristic, complemented
48	C₅×#465	C₂×C₃	1	2	yes	complemented
49	C₅×#461	C₂×C₃	1	1	yes	characteristic, complemented
50	C₅×#460	C₂×C₃	1	1	yes	characteristic, complemented
51	C₅×#450	C₂×C₃	1	2	yes	complemented
52	C₅×#448	C₂×C₃	1	2	yes	complemented
53	C₄×C₅×SD₁₆	C₂×C₃	1	1	yes	characteristic, complemented
54	C₅×C₈×D₄	C₂×C₃	1	1	yes	characteristic, complemented
55	C₂⁴×C₃×C₅	—	2	2	no	—
56	C₂×C₃×C₅×Q₈	—	2	2	no	—
57	C₂×C₃×C₅×Q₈	—	2	4	no	—
58	C₂×C₃×C₅×Q₈	—	4	2	no	—
59	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
60	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
61	C₂×C₃×C₅×D₄	—	2	4	no	—
62	C₂×C₃×C₅×D₄	—	2	2	no	—
63	C₂×C₃×C₅×D₄	—	2	2	no	—
64	C₂×C₃×C₅×D₄	—	2	1	no	—
65	C₂×C₃×C₅×D₄	—	2	1	no	—
66	C₂×C₃×C₅×D₄	—	4	2	no	—
67	C₂×C₃×C₅×D₄	—	4	4	no	—
68	C₂×C₃×C₅×D₄	D₄	1	1	yes	characteristic
69	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
70	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
71	C₂²×C₃×C₄×C₅	—	2	2	no	—
72	C₂²×C₃×C₄×C₅	—	2	1	no	—
73	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
74	C₃×C₅×SD₁₆	—	2	4	no	—
75	C₃×C₅×SD₁₆	—	2	4	no	—
76	C₃×C₅×SD₁₆	—	2	4	no	—
77	C₃×C₅×SD₁₆	—	4	2	no	—
78	C₃×C₅×SD₁₆	D₄	1	4	yes	direct product factor
79	C₂×C₃×C₅×C₈	—	2	4	no	—
80	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
81	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
82	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
83	C₃×C₅×C₄⋊C₄	—	2	1	no	—
84	C₃×C₅×C₄⋊C₄	—	2	1	no	—
85	C₃×C₅×C₄⋊C₄	—	2	1	no	—
86	C₃×C₅×C₄⋊C₄	—	2	2	no	—
87	C₃×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
88	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
89	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
90	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
91	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
92	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
93	C₃×C₅×C₂²⋊C₄	D₄	1	2	yes	—
94	C₃×C₄²×C₅	—	2	1	no	—
95	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
96	C₂²×C₃×SD₁₆	C₂×C₅	1	2	yes	complemented
97	C₃×D₄×Q₈	C₂×C₅	1	1	yes	characteristic, complemented
98	C₃×D₄²	C₂×C₅	1	1	yes	characteristic
99	C₃×#492	C₂×C₅	1	1	yes	characteristic, complemented
100	C₃×#465	C₂×C₅	1	2	yes	complemented
101	C₃×#461	C₂×C₅	1	1	yes	characteristic, complemented
102	C₃×#460	C₂×C₅	1	1	yes	characteristic, complemented
103	C₃×#450	C₂×C₅	1	2	yes	complemented
104	C₃×#448	C₂×C₅	1	2	yes	complemented
105	C₃×C₄×SD₁₆	C₂×C₅	1	1	yes	characteristic, complemented
106	C₃×C₈×D₄	C₂×C₅	1	1	yes	characteristic, complemented
107	C₂²×C₅×Q₈	C₂²×C₃	1	2	yes	complemented
108	C₂²×C₅×D₄	—	2	1	no	—
109	C₂²×C₅×D₄	C₂²×C₃	1	2	yes	—
110	C₂×C₅×SD₁₆	—	2	8	no	—
111	C₂×C₅×SD₁₆	C₂²×C₃	1	2	yes	—
112	C₂×C₅×SD₁₆	C₂²×C₃	1	1	yes	characteristic
113	C₂×C₅×SD₁₆	C₂²×C₃	1	2	yes	complemented
114	C₂×C₅×SD₁₆	C₂²×C₃	1	2	yes	complemented
115	C₂×C₅×SD₁₆	C₂²×C₃	1	2	yes	complemented
116	C₂²×C₅×C₈	C₂²×C₃	1	2	yes	complemented
117	C₅×C₄⋊Q₈	—	2	1	no	—
118	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
119	C₅×#127	C₂²×C₃	1	1	yes	characteristic
120	C₅×C₂²⋊Q₈	—	2	2	no	—
121	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
122	C₅×#121	—	2	1	no	—
123	C₅×#121	C₂²×C₃	1	2	yes	—
124	C₅×#120	—	2	2	no	—
125	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
126	C₄×C₅×D₄	—	2	1	no	—
127	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
128	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
129	C₅×#106	C₂²×C₃	1	1	yes	characteristic, complemented
130	C₅×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic, complemented
131	C₅×#103	C₂²×C₃	1	1	yes	characteristic, complemented
132	C₅×#103	C₂²×C₃	1	2	yes	complemented
133	C₅×#102	C₂²×C₃	1	1	yes	characteristic
134	C₅×#102	C₂²×C₃	1	2	yes	complemented
135	C₅×C₂²⋊C₈	C₂²×C₃	1	2	yes	complemented
136	C₄×C₅×C₈	C₂²×C₃	1	1	yes	characteristic, complemented
137	D₄×SD₁₆	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
138	C₂³×C₃×C₅	—	2	1	no	—
139	C₂³×C₃×C₅	—	2	2	no	—
140	C₂³×C₃×C₅	—	4	4	no	—
141	C₂³×C₃×C₅	—	4	4	no	—
142	C₂³×C₃×C₅	—	8	2	no	—
143	C₂³×C₃×C₅	C₂×D₄	1	2	yes	—
144	C₃×C₅×Q₈	—	2	1	no	—
145	C₃×C₅×Q₈	—	2	2	no	—
146	C₃×C₅×Q₈	—	2	2	no	—
147	C₃×C₅×Q₈	—	4	4	no	—
148	C₃×C₅×Q₈	C₂×D₄	1	2	yes	complemented
149	C₃×C₅×D₄	—	2	2	no	—
150	C₃×C₅×D₄	—	2	1	no	—
151	C₃×C₅×D₄	—	2	2	no	—
152	C₃×C₅×D₄	—	4	4	no	—
153	C₃×C₅×D₄	—	4	4	no	—
154	C₃×C₅×D₄	—	4	2	no	—
155	C₃×C₅×D₄	—	8	1	no	—
156	C₃×C₅×D₄	SD₁₆	1	4	yes	direct product factor
157	C₃×C₅×D₄	C₂×D₄	1	2	yes	—
158	C₂×C₃×C₄×C₅	—	2	1	no	—
159	C₂×C₃×C₄×C₅	—	2	2	no	—
160	C₂×C₃×C₄×C₅	—	2	2	no	—
161	C₂×C₃×C₄×C₅	—	2	1	no	—
162	C₂×C₃×C₄×C₅	—	2	1	no	—
163	C₂×C₃×C₄×C₅	—	2	2	no	—
164	C₂×C₃×C₄×C₅	—	4	4	no	—
165	C₂×C₃×C₄×C₅	—	4	2	no	—
166	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
167	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
168	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
169	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
170	C₃×C₅×C₈	—	2	2	no	—
171	C₃×C₅×C₈	—	2	1	no	—
172	C₃×C₅×C₈	C₂×D₄	1	2	yes	complemented
173	C₂²×C₃×Q₈	C₂²×C₅	1	2	yes	complemented
174	C₂²×C₃×D₄	—	2	1	no	—
175	C₂²×C₃×D₄	C₂²×C₅	1	2	yes	—
176	C₂×C₃×SD₁₆	—	2	8	no	—
177	C₂×C₃×SD₁₆	C₂²×C₅	1	2	yes	—
178	C₂×C₃×SD₁₆	C₂²×C₅	1	1	yes	characteristic
179	C₂×C₃×SD₁₆	C₂²×C₅	1	2	yes	complemented
180	C₂×C₃×SD₁₆	C₂²×C₅	1	2	yes	complemented
181	C₂×C₃×SD₁₆	C₂²×C₅	1	2	yes	complemented
182	C₂²×C₃×C₈	C₂²×C₅	1	2	yes	complemented
183	C₃×C₄⋊Q₈	—	2	1	no	—
184	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
185	C₃×#127	C₂²×C₅	1	1	yes	characteristic
186	C₃×C₂²⋊Q₈	—	2	2	no	—
187	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
188	C₃×#121	—	2	1	no	—
189	C₃×#121	C₂²×C₅	1	2	yes	—
190	C₃×#120	—	2	2	no	—
191	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
192	C₃×C₄×D₄	—	2	1	no	—
193	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
194	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
195	C₃×#106	C₂²×C₅	1	1	yes	characteristic, complemented
196	C₃×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic, complemented
197	C₃×#103	C₂²×C₅	1	1	yes	characteristic, complemented
198	C₃×#103	C₂²×C₅	1	2	yes	complemented
199	C₃×#102	C₂²×C₅	1	1	yes	characteristic
200	C₃×#102	C₂²×C₅	1	2	yes	complemented
201	C₃×C₂²⋊C₈	C₂²×C₅	1	2	yes	complemented
202	C₃×C₄×C₈	C₂²×C₅	1	1	yes	characteristic, complemented
203	C₂⁴×C₅	—	2	2	no	—
204	C₂×C₅×Q₈	—	2	2	no	—
205	C₂×C₅×Q₈	—	2	4	no	—
206	C₂×C₅×Q₈	—	4	2	no	—
207	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
208	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
209	C₂×C₅×D₄	—	2	4	no	—
210	C₂×C₅×D₄	—	2	2	no	—
211	C₂×C₅×D₄	—	2	2	no	—
212	C₂×C₅×D₄	—	2	1	no	—
213	C₂×C₅×D₄	—	2	1	no	—
214	C₂×C₅×D₄	—	4	2	no	—
215	C₂×C₅×D₄	—	4	4	no	—
216	C₂×C₅×D₄	C₃×D₄	1	1	yes	characteristic
217	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
218	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
219	C₂²×C₄×C₅	—	2	2	no	—
220	C₂²×C₄×C₅	—	2	1	no	—
221	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
222	C₅×SD₁₆	—	2	4	no	—
223	C₅×SD₁₆	—	2	4	no	—
224	C₅×SD₁₆	—	2	4	no	—
225	C₅×SD₁₆	—	4	2	no	—
226	C₅×SD₁₆	C₃×D₄	1	4	yes	direct product factor
227	C₂×C₅×C₈	—	2	4	no	—
228	C₂×C₅×C₈	C₂³×C₃	1	2	yes	—
229	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
230	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
231	C₅×C₄⋊C₄	—	2	1	no	—
232	C₅×C₄⋊C₄	—	2	1	no	—
233	C₅×C₄⋊C₄	—	2	1	no	—
234	C₅×C₄⋊C₄	—	2	2	no	—
235	C₅×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
236	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
237	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
238	C₅×C₂²⋊C₄	—	2	2	no	—
239	C₅×C₂²⋊C₄	—	2	1	no	—
240	C₅×C₂²⋊C₄	—	2	2	no	—
241	C₅×C₂²⋊C₄	C₃×D₄	1	2	yes	—
242	C₄²×C₅	—	2	1	no	—
243	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
244	C₂²×SD₁₆	C₂×C₃×C₅	1	2	yes	complemented
245	D₄×Q₈	C₂×C₃×C₅	1	1	yes	characteristic, complemented
246	D₄²	C₂×C₃×C₅	1	1	yes	characteristic
247	#492	C₂×C₃×C₅	1	1	yes	characteristic, complemented
248	#465	C₂×C₃×C₅	1	2	yes	complemented
249	#461	C₂×C₃×C₅	1	1	yes	characteristic, complemented
250	#460	C₂×C₃×C₅	1	1	yes	characteristic, complemented
251	#450	C₂×C₃×C₅	1	2	yes	complemented
252	#448	C₂×C₃×C₅	1	2	yes	complemented
253	C₄×SD₁₆	C₂×C₃×C₅	1	1	yes	characteristic, complemented
254	C₈×D₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
255	C₂²×C₃×C₅	—	2	2	no	—
256	C₂²×C₃×C₅	—	2	2	no	—
257	C₂²×C₃×C₅	—	2	2	no	—
258	C₂²×C₃×C₅	—	4	1	no	—
259	C₂²×C₃×C₅	—	4	1	no	—
260	C₂²×C₃×C₅	—	4	2	no	—
261	C₂²×C₃×C₅	—	4	2	no	—
262	C₂²×C₃×C₅	—	4	2	no	—
263	C₂²×C₃×C₅	—	8	8	no	—
264	C₂²×C₃×C₅	C₂×SD₁₆	1	4	yes	complemented
265	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
266	C₃×C₄×C₅	—	2	2	no	—
267	C₃×C₄×C₅	—	2	2	no	—
268	C₃×C₄×C₅	—	2	1	no	—
269	C₃×C₄×C₅	—	4	2	no	—
270	C₃×C₄×C₅	—	4	1	no	—
271	C₃×C₄×C₅	—	4	1	no	—
272	C₃×C₄×C₅	C₂×SD₁₆	1	2	yes	complemented
273	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
274	C₃×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
275	C₂⁴×C₃	—	2	2	no	—
276	C₂×C₃×Q₈	—	2	2	no	—
277	C₂×C₃×Q₈	—	2	4	no	—
278	C₂×C₃×Q₈	—	4	2	no	—
279	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
280	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
281	C₂×C₃×D₄	—	2	4	no	—
282	C₂×C₃×D₄	—	2	2	no	—
283	C₂×C₃×D₄	—	2	2	no	—
284	C₂×C₃×D₄	—	2	1	no	—
285	C₂×C₃×D₄	—	2	1	no	—
286	C₂×C₃×D₄	—	4	2	no	—
287	C₂×C₃×D₄	—	4	4	no	—
288	C₂×C₃×D₄	C₅×D₄	1	1	yes	characteristic
289	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
290	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
291	C₂²×C₃×C₄	—	2	2	no	—
292	C₂²×C₃×C₄	—	2	1	no	—
293	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
294	C₃×SD₁₆	—	2	4	no	—
295	C₃×SD₁₆	—	2	4	no	—
296	C₃×SD₁₆	—	2	4	no	—
297	C₃×SD₁₆	—	4	2	no	—
298	C₃×SD₁₆	C₅×D₄	1	4	yes	direct product factor
299	C₂×C₃×C₈	—	2	4	no	—
300	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
301	C₂×C₃×C₈	C₂³×C₅	1	2	yes	—
302	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
303	C₃×C₄⋊C₄	—	2	1	no	—
304	C₃×C₄⋊C₄	—	2	1	no	—
305	C₃×C₄⋊C₄	—	2	1	no	—
306	C₃×C₄⋊C₄	—	2	2	no	—
307	C₃×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
308	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
309	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
310	C₃×C₂²⋊C₄	—	2	2	no	—
311	C₃×C₂²⋊C₄	—	2	1	no	—
312	C₃×C₂²⋊C₄	—	2	2	no	—
313	C₃×C₂²⋊C₄	C₅×D₄	1	2	yes	—
314	C₃×C₄²	—	2	1	no	—
315	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
316	C₂³×C₅	—	2	1	no	—
317	C₂³×C₅	—	2	2	no	—
318	C₂³×C₅	—	4	4	no	—
319	C₂³×C₅	—	4	4	no	—
320	C₂³×C₅	—	8	2	no	—
321	C₂³×C₅	C₂×C₃×D₄	1	2	yes	—
322	C₅×Q₈	—	2	1	no	—
323	C₅×Q₈	—	2	2	no	—
324	C₅×Q₈	—	2	2	no	—
325	C₅×Q₈	—	4	4	no	—
326	C₅×Q₈	C₂×C₃×D₄	1	2	yes	complemented
327	C₅×D₄	—	2	2	no	—
328	C₅×D₄	—	2	1	no	—
329	C₅×D₄	—	2	2	no	—
330	C₅×D₄	—	4	4	no	—
331	C₅×D₄	—	4	4	no	—
332	C₅×D₄	—	4	2	no	—
333	C₅×D₄	—	8	1	no	—
334	C₅×D₄	C₃×SD₁₆	1	4	yes	direct product factor
335	C₅×D₄	C₂×C₃×D₄	1	2	yes	—
336	C₂×C₄×C₅	—	2	1	no	—
337	C₂×C₄×C₅	—	2	2	no	—
338	C₂×C₄×C₅	—	2	2	no	—
339	C₂×C₄×C₅	—	2	1	no	—
340	C₂×C₄×C₅	—	2	1	no	—
341	C₂×C₄×C₅	—	2	2	no	—
342	C₂×C₄×C₅	—	4	4	no	—
343	C₂×C₄×C₅	—	4	2	no	—
344	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
345	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
346	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
347	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
348	C₅×C₈	—	2	2	no	—
349	C₅×C₈	—	2	1	no	—
350	C₅×C₈	C₂×C₃×D₄	1	2	yes	complemented
351	C₂²×Q₈	C₂²×C₃×C₅	1	2	yes	complemented
352	C₂²×D₄	—	2	1	no	—
353	C₂²×D₄	C₂²×C₃×C₅	1	2	yes	—
354	C₂×SD₁₆	—	2	8	no	—
355	C₂×SD₁₆	C₂²×C₃×C₅	1	2	yes	—
356	C₂×SD₁₆	C₂²×C₃×C₅	1	1	yes	characteristic
357	C₂×SD₁₆	C₂²×C₃×C₅	1	2	yes	complemented
358	C₂×SD₁₆	C₂²×C₃×C₅	1	2	yes	complemented
359	C₂×SD₁₆	C₂²×C₃×C₅	1	2	yes	complemented
360	C₂²×C₈	C₂²×C₃×C₅	1	2	yes	complemented
361	C₄⋊Q₈	—	2	1	no	—
362	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
363	#127	C₂²×C₃×C₅	1	1	yes	characteristic
364	C₂²⋊Q₈	—	2	2	no	—
365	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	complemented
366	#121	—	2	1	no	—
367	#121	C₂²×C₃×C₅	1	2	yes	—
368	#120	—	2	2	no	—
369	C₄×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
370	C₄×D₄	—	2	1	no	—
371	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
372	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
373	#106	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
374	C₄⋊C₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
375	#103	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
376	#103	C₂²×C₃×C₅	1	2	yes	complemented
377	#102	C₂²×C₃×C₅	1	1	yes	characteristic
378	#102	C₂²×C₃×C₅	1	2	yes	complemented
379	C₂²⋊C₈	C₂²×C₃×C₅	1	2	yes	complemented
380	C₄×C₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
381	C₂×C₃×C₅	—	2	4	no	—
382	C₂×C₃×C₅	—	4	2	no	—
383	C₂×C₃×C₅	—	8	2	no	—
384	C₂×C₃×C₅	D₄²	1	1	yes	characteristic
385	C₂×C₃×C₅	C₂²×SD₁₆	1	1	yes	characteristic
386	C₂×C₃×C₅	#577	1	1	yes	characteristic
387	C₂³×C₃	—	2	1	no	—
388	C₂³×C₃	—	2	2	no	—
389	C₂³×C₃	—	4	4	no	—
390	C₂³×C₃	—	4	4	no	—
391	C₂³×C₃	—	8	2	no	—
392	C₂³×C₃	C₂×C₅×D₄	1	2	yes	—
393	C₃×Q₈	—	2	1	no	—
394	C₃×Q₈	—	2	2	no	—
395	C₃×Q₈	—	2	2	no	—
396	C₃×Q₈	—	4	4	no	—
397	C₃×Q₈	C₂×C₅×D₄	1	2	yes	complemented
398	C₃×D₄	—	2	2	no	—
399	C₃×D₄	—	2	1	no	—
400	C₃×D₄	—	2	2	no	—
401	C₃×D₄	—	4	4	no	—
402	C₃×D₄	—	4	4	no	—
403	C₃×D₄	—	4	2	no	—
404	C₃×D₄	—	8	1	no	—
405	C₃×D₄	C₅×SD₁₆	1	4	yes	direct product factor
406	C₃×D₄	C₂×C₅×D₄	1	2	yes	—
407	C₂×C₃×C₄	—	2	1	no	—
408	C₂×C₃×C₄	—	2	2	no	—
409	C₂×C₃×C₄	—	2	2	no	—
410	C₂×C₃×C₄	—	2	1	no	—
411	C₂×C₃×C₄	—	2	1	no	—
412	C₂×C₃×C₄	—	2	2	no	—
413	C₂×C₃×C₄	—	4	4	no	—
414	C₂×C₃×C₄	—	4	2	no	—
415	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
416	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
417	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
418	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
419	C₃×C₈	—	2	2	no	—
420	C₃×C₈	—	2	1	no	—
421	C₃×C₈	C₂×C₅×D₄	1	2	yes	complemented
422	C₂²×C₅	—	2	2	no	—
423	C₂²×C₅	—	2	2	no	—
424	C₂²×C₅	—	2	2	no	—
425	C₂²×C₅	—	4	1	no	—
426	C₂²×C₅	—	4	1	no	—
427	C₂²×C₅	—	4	2	no	—
428	C₂²×C₅	—	4	2	no	—
429	C₂²×C₅	—	4	2	no	—
430	C₂²×C₅	—	8	8	no	—
431	C₂²×C₅	C₂×C₃×SD₁₆	1	4	yes	complemented
432	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
433	C₄×C₅	—	2	1	no	—
434	C₄×C₅	—	2	2	no	—
435	C₄×C₅	—	2	2	no	—
436	C₄×C₅	—	4	1	no	—
437	C₄×C₅	—	4	1	no	—
438	C₄×C₅	—	4	2	no	—
439	C₄×C₅	C₂×C₃×SD₁₆	1	2	yes	complemented
440	C₄×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
441	C₄×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
442	C₂⁴	—	2	2	no	—
443	C₂×Q₈	—	2	2	no	—
444	C₂×Q₈	—	2	4	no	—
445	C₂×Q₈	—	4	2	no	—
446	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
447	C₂×Q₈	C₂³×C₃×C₅	1	1	yes	characteristic
448	C₂×D₄	—	2	4	no	—
449	C₂×D₄	—	2	2	no	—
450	C₂×D₄	—	2	2	no	—
451	C₂×D₄	—	2	1	no	—
452	C₂×D₄	—	2	1	no	—
453	C₂×D₄	—	4	2	no	—
454	C₂×D₄	—	4	4	no	—
455	C₂×D₄	C₃×C₅×D₄	1	1	yes	characteristic
456	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
457	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
458	C₂²×C₄	—	2	2	no	—
459	C₂²×C₄	—	2	1	no	—
460	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
461	SD₁₆	—	2	4	no	—
462	SD₁₆	—	2	4	no	—
463	SD₁₆	—	2	4	no	—
464	SD₁₆	—	4	2	no	—
465	SD₁₆	C₃×C₅×D₄	1	4	yes	direct product factor
466	C₂×C₈	—	2	4	no	—
467	C₂×C₈	C₂³×C₃×C₅	1	1	yes	characteristic
468	C₂×C₈	C₂³×C₃×C₅	1	2	yes	—
469	C₂×C₈	C₂³×C₃×C₅	1	1	yes	characteristic
470	C₄⋊C₄	—	2	1	no	—
471	C₄⋊C₄	—	2	1	no	—
472	C₄⋊C₄	—	2	1	no	—
473	C₄⋊C₄	—	2	2	no	—
474	C₄⋊C₄	C₃×C₅×D₄	1	1	yes	characteristic
475	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
476	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
477	C₂²⋊C₄	—	2	2	no	—
478	C₂²⋊C₄	—	2	1	no	—
479	C₂²⋊C₄	—	2	2	no	—
480	C₂²⋊C₄	C₃×C₅×D₄	1	2	yes	—
481	C₄²	—	2	1	no	—
482	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
483	C₃×C₅	D₄×SD₁₆	1	1	yes	characteristic, direct product factor, Hall
484	C₂²×C₃	—	2	2	no	—
485	C₂²×C₃	—	2	2	no	—
486	C₂²×C₃	—	2	2	no	—
487	C₂²×C₃	—	4	1	no	—
488	C₂²×C₃	—	4	1	no	—
489	C₂²×C₃	—	4	2	no	—
490	C₂²×C₃	—	4	2	no	—
491	C₂²×C₃	—	4	2	no	—
492	C₂²×C₃	—	8	8	no	—
493	C₂²×C₃	C₂×C₅×SD₁₆	1	4	yes	complemented
494	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
495	C₃×C₄	—	2	2	no	—
496	C₃×C₄	—	2	2	no	—
497	C₃×C₄	—	2	1	no	—
498	C₃×C₄	—	4	2	no	—
499	C₃×C₄	—	4	1	no	—
500	C₃×C₄	—	4	1	no	—
501	C₃×C₄	C₂×C₅×SD₁₆	1	2	yes	complemented
502	C₃×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
503	C₃×C₄	C₅×H(5,𝔽₂)	1	1	yes	characteristic
504	C₂×C₅	—	2	4	no	—
505	C₂×C₅	—	4	2	no	—
506	C₂×C₅	—	8	2	no	—
507	C₂×C₅	C₃×D₄²	1	1	yes	characteristic
508	C₂×C₅	C₂²×C₃×SD₁₆	1	1	yes	characteristic
509	C₂×C₅	C₃×#577	1	1	yes	characteristic
510	C₂³	—	2	1	no	—
511	C₂³	—	2	2	no	—
512	C₂³	—	4	4	no	—
513	C₂³	—	4	4	no	—
514	C₂³	—	8	2	no	—
515	C₂³	C₂×C₃×C₅×D₄	1	2	yes	—
516	Q₈	—	2	1	no	—
517	Q₈	—	2	2	no	—
518	Q₈	—	2	2	no	—
519	Q₈	—	4	4	no	—
520	Q₈	C₂×C₃×C₅×D₄	1	2	yes	complemented
521	D₄	—	2	2	no	—
522	D₄	—	2	1	no	—
523	D₄	—	2	2	no	—
524	D₄	—	4	4	no	—
525	D₄	—	4	4	no	—
526	D₄	—	4	2	no	—
527	D₄	—	8	1	no	—
528	D₄	C₃×C₅×SD₁₆	1	4	yes	direct product factor
529	D₄	C₂×C₃×C₅×D₄	1	2	yes	—
530	C₂×C₄	—	2	1	no	—
531	C₂×C₄	—	2	2	no	—
532	C₂×C₄	—	2	2	no	—
533	C₂×C₄	—	2	1	no	—
534	C₂×C₄	—	2	1	no	—
535	C₂×C₄	—	2	2	no	—
536	C₂×C₄	—	4	4	no	—
537	C₂×C₄	—	4	2	no	—
538	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
539	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
540	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
541	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
542	C₈	—	2	2	no	—
543	C₈	—	2	1	no	—
544	C₈	C₂×C₃×C₅×D₄	1	2	yes	complemented
545	C₂×C₃	—	2	4	no	—
546	C₂×C₃	—	4	2	no	—
547	C₂×C₃	—	8	2	no	—
548	C₂×C₃	C₅×D₄²	1	1	yes	characteristic
549	C₂×C₃	C₂²×C₅×SD₁₆	1	1	yes	characteristic
550	C₂×C₃	C₅×#577	1	1	yes	characteristic
551	C₅	C₃×D₄×SD₁₆	1	1	yes	characteristic, direct product factor, Sylow
552	C₂²	—	2	2	no	—
553	C₂²	—	2	2	no	—
554	C₂²	—	2	2	no	—
555	C₂²	—	4	1	no	—
556	C₂²	—	4	1	no	—
557	C₂²	—	4	2	no	—
558	C₂²	—	4	2	no	—
559	C₂²	—	4	2	no	—
560	C₂²	—	8	8	no	—
561	C₂²	C₂×C₃×C₅×SD₁₆	1	4	yes	complemented
562	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
563	C₄	—	2	2	no	—
564	C₄	—	2	2	no	—
565	C₄	—	2	1	no	—
566	C₄	—	4	2	no	—
567	C₄	—	4	1	no	—
568	C₄	—	4	1	no	—
569	C₄	C₂×C₃×C₅×SD₁₆	1	2	yes	complemented
570	C₄	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
571	C₄	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
572	C₃	C₅×D₄×SD₁₆	1	1	yes	characteristic, direct product factor, Sylow
573	C₂	—	2	4	no	—
574	C₂	—	4	2	no	—
575	C₂	—	8	2	no	—
576	C₂	C₃×C₅×D₄²	1	1	yes	characteristic
577	C₂	C₂²×C₃×C₅×SD₁₆	1	1	yes	characteristic
578	C₂	C₃×C₅×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃×C₅	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₃×C₅
prime radical	C₃×C₅×D₄²	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃×C₅ ◁ C₃×C₄×C₅×D₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×C₅×SD₁₆	C₂	semidirect
2. C₃×C₅×D₄×Q₈	C₂	semidirect
4. C₃×C₅×#492	C₂	semidirect
5. C₃×C₅×#465	C₂	semidirect
6. C₃×C₅×#461	C₂	semidirect
7. C₃×C₅×#460	C₂	semidirect
8. C₃×C₅×#450	C₂	semidirect
9. C₃×C₅×#448	C₂	semidirect
10. C₃×C₄×C₅×SD₁₆	C₂	semidirect
11. C₃×C₅×C₈×D₄	C₂	semidirect
12. C₅×D₄×SD₁₆	C₃	direct (N × H)
13. C₂²×C₃×C₅×Q₈	C₂²	semidirect
19. C₂×C₃×C₅×SD₁₆	C₂²	semidirect
20. C₂×C₃×C₅×SD₁₆	C₂²	semidirect
21. C₂×C₃×C₅×SD₁₆	C₂²	semidirect
22. C₂²×C₃×C₅×C₈	C₂²	semidirect
24. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
27. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
31. C₃×C₄×C₅×Q₈	C₂²	semidirect
35. C₃×C₅×#106	C₂²	semidirect
36. C₃×C₅×C₄⋊C₈	C₂²	semidirect
37. C₃×C₅×#103	C₂²	semidirect
38. C₃×C₅×#103	C₂²	semidirect
40. C₃×C₅×#102	C₂²	semidirect
41. C₃×C₅×C₂²⋊C₈	C₂²	semidirect
42. C₃×C₄×C₅×C₈	C₂²	semidirect
43. C₃×D₄×SD₁₆	C₅	direct (N × H)
44. C₂²×C₅×SD₁₆	C₂×C₃	semidirect
45. C₅×D₄×Q₈	C₂×C₃	semidirect
47. C₅×#492	C₂×C₃	semidirect
48. C₅×#465	C₂×C₃	semidirect
49. C₅×#461	C₂×C₃	semidirect
50. C₅×#460	C₂×C₃	semidirect
51. C₅×#450	C₂×C₃	semidirect
52. C₅×#448	C₂×C₃	semidirect
53. C₄×C₅×SD₁₆	C₂×C₃	semidirect
54. C₅×C₈×D₄	C₂×C₃	semidirect
78. C₃×C₅×SD₁₆	D₄	direct (N × H)
96. C₂²×C₃×SD₁₆	C₂×C₅	semidirect
97. C₃×D₄×Q₈	C₂×C₅	semidirect
99. C₃×#492	C₂×C₅	semidirect
100. C₃×#465	C₂×C₅	semidirect
101. C₃×#461	C₂×C₅	semidirect
102. C₃×#460	C₂×C₅	semidirect
103. C₃×#450	C₂×C₅	semidirect
104. C₃×#448	C₂×C₅	semidirect
105. C₃×C₄×SD₁₆	C₂×C₅	semidirect
106. C₃×C₈×D₄	C₂×C₅	semidirect
107. C₂²×C₅×Q₈	C₂²×C₃	semidirect
113. C₂×C₅×SD₁₆	C₂²×C₃	semidirect
114. C₂×C₅×SD₁₆	C₂²×C₃	semidirect
115. C₂×C₅×SD₁₆	C₂²×C₃	semidirect
116. C₂²×C₅×C₈	C₂²×C₃	semidirect
118. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
121. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
125. C₄×C₅×Q₈	C₂²×C₃	semidirect
129. C₅×#106	C₂²×C₃	semidirect
130. C₅×C₄⋊C₈	C₂²×C₃	semidirect
131. C₅×#103	C₂²×C₃	semidirect
132. C₅×#103	C₂²×C₃	semidirect
134. C₅×#102	C₂²×C₃	semidirect
135. C₅×C₂²⋊C₈	C₂²×C₃	semidirect
136. C₄×C₅×C₈	C₂²×C₃	semidirect
137. D₄×SD₁₆	C₃×C₅	direct (N × H)
148. C₃×C₅×Q₈	C₂×D₄	semidirect
156. C₃×C₅×D₄	SD₁₆	direct (N × H)
172. C₃×C₅×C₈	C₂×D₄	semidirect
173. C₂²×C₃×Q₈	C₂²×C₅	semidirect
179. C₂×C₃×SD₁₆	C₂²×C₅	semidirect
180. C₂×C₃×SD₁₆	C₂²×C₅	semidirect
181. C₂×C₃×SD₁₆	C₂²×C₅	semidirect
182. C₂²×C₃×C₈	C₂²×C₅	semidirect
184. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
187. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
191. C₃×C₄×Q₈	C₂²×C₅	semidirect
195. C₃×#106	C₂²×C₅	semidirect
196. C₃×C₄⋊C₈	C₂²×C₅	semidirect
197. C₃×#103	C₂²×C₅	semidirect
198. C₃×#103	C₂²×C₅	semidirect
200. C₃×#102	C₂²×C₅	semidirect
201. C₃×C₂²⋊C₈	C₂²×C₅	semidirect
202. C₃×C₄×C₈	C₂²×C₅	semidirect
226. C₅×SD₁₆	C₃×D₄	direct (N × H)
244. C₂²×SD₁₆	C₂×C₃×C₅	semidirect
245. D₄×Q₈	C₂×C₃×C₅	semidirect
247. #492	C₂×C₃×C₅	semidirect
248. #465	C₂×C₃×C₅	semidirect
249. #461	C₂×C₃×C₅	semidirect
250. #460	C₂×C₃×C₅	semidirect
251. #450	C₂×C₃×C₅	semidirect
252. #448	C₂×C₃×C₅	semidirect
253. C₄×SD₁₆	C₂×C₃×C₅	semidirect
254. C₈×D₄	C₂×C₃×C₅	semidirect
264. C₂²×C₃×C₅	C₂×SD₁₆	semidirect
272. C₃×C₄×C₅	C₂×SD₁₆	semidirect
298. C₃×SD₁₆	C₅×D₄	direct (N × H)
326. C₅×Q₈	C₂×C₃×D₄	semidirect
334. C₅×D₄	C₃×SD₁₆	direct (N × H)
350. C₅×C₈	C₂×C₃×D₄	semidirect
351. C₂²×Q₈	C₂²×C₃×C₅	semidirect
357. C₂×SD₁₆	C₂²×C₃×C₅	semidirect
358. C₂×SD₁₆	C₂²×C₃×C₅	semidirect
359. C₂×SD₁₆	C₂²×C₃×C₅	semidirect
360. C₂²×C₈	C₂²×C₃×C₅	semidirect
362. C₄⋊Q₈	C₂²×C₃×C₅	semidirect
365. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
369. C₄×Q₈	C₂²×C₃×C₅	semidirect
373. #106	C₂²×C₃×C₅	semidirect
374. C₄⋊C₈	C₂²×C₃×C₅	semidirect
375. #103	C₂²×C₃×C₅	semidirect
376. #103	C₂²×C₃×C₅	semidirect
378. #102	C₂²×C₃×C₅	semidirect
379. C₂²⋊C₈	C₂²×C₃×C₅	semidirect
380. C₄×C₈	C₂²×C₃×C₅	semidirect
397. C₃×Q₈	C₂×C₅×D₄	semidirect
405. C₃×D₄	C₅×SD₁₆	direct (N × H)
421. C₃×C₈	C₂×C₅×D₄	semidirect
431. C₂²×C₅	C₂×C₃×SD₁₆	semidirect
439. C₄×C₅	C₂×C₃×SD₁₆	semidirect
465. SD₁₆	C₃×C₅×D₄	direct (N × H)
483. C₃×C₅	D₄×SD₁₆	direct (N × H)
493. C₂²×C₃	C₂×C₅×SD₁₆	semidirect
501. C₃×C₄	C₂×C₅×SD₁₆	semidirect
520. Q₈	C₂×C₃×C₅×D₄	semidirect
528. D₄	C₃×C₅×SD₁₆	direct (N × H)
544. C₈	C₂×C₃×C₅×D₄	semidirect
551. C₅	C₃×D₄×SD₁₆	direct (N × H)
561. C₂²	C₂×C₃×C₅×SD₁₆	semidirect
569. C₄	C₂×C₃×C₅×SD₁₆	semidirect
572. C₃	C₅×D₄×SD₁₆	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₃×C₅×SD₁₆	2
C₃×C₅×D₄×Q₈	2
C₃×C₅×D₄²	2
C₃×C₅×#492	2
C₃×C₅×#465	2
C₃×C₅×#461	2
C₃×C₅×#460	2
C₃×C₅×#450	2
C₃×C₅×#448	2
C₃×C₄×C₅×SD₁₆	2
C₃×C₅×C₈×D₄	2
C₅×D₄×SD₁₆	3
C₃×D₄×SD₁₆	5

Subgroups — C3×C5×D4×SD16 #14276315

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×D₄×SD₁₆ #14276315