Subgroups — C₂×Q₈×C₂²⋊C₄×C₁₉ #18040059

Order 4864.

5414 conjugacy classes of subgroups.

The subgroup lattice has 296 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×Q₈×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₄×Q₈×C₁₉	C₂	1	2	yes	maximal, complemented
3	Q₈×C₂²⋊C₄×C₁₉	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₉×#391	C₂	1	6	yes	maximal, complemented
5	C₂×C₁₉×#380	C₂	1	3	yes	maximal
6	C₂×C₄×C₂²⋊C₄×C₁₉	C₂	1	3	yes	maximal
7	C₂³×Q₈×C₁₉	—	2	16	no	—
8	C₂³×Q₈×C₁₉	C₄	1	16	yes	complemented
9	C₂³×Q₈×C₁₉	C₂²	1	3	yes	—
10	C₂³×Q₈×C₁₉	C₂²	1	8	yes	—
11	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic
12	C₂⁴×C₄×C₁₉	C₂²	1	3	yes	—
13	C₂×C₄×Q₈×C₁₉	—	2	16	no	—
14	C₂×C₄×Q₈×C₁₉	C₂²	1	16	yes	complemented
15	C₂²×C₄⋊C₄×C₁₉	C₂²	1	6	yes	—
16	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	3	yes	—
17	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
18	C₂²×C₄²×C₁₉	C₂²	1	6	yes	—
19	C₁₉×#391	C₂²	1	48	yes	complemented
20	C₁₉×#380	C₂²	1	24	yes	—
21	C₄×C₂²⋊C₄×C₁₉	C₂²	1	24	yes	—
22	C₂×C₁₉×#95	C₂²	1	6	yes	—
23	C₂×C₁₉×#95	C₂²	1	6	yes	—
24	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
25	C₂²×Q₈×C₁₉	—	2	128	no	—
26	C₂²×Q₈×C₁₉	—	2	64	no	—
27	C₂²×Q₈×C₁₉	—	2	24	no	—
28	C₂²×Q₈×C₁₉	C₂×C₄	1	24	yes	—
29	C₂²×Q₈×C₁₉	C₂×C₄	1	8	yes	—
30	C₂²×Q₈×C₁₉	C₂×C₄	1	64	yes	complemented
31	C₂²×Q₈×C₁₉	D₄	1	16	yes	—
32	C₂²×Q₈×C₁₉	C₂³	1	12	yes	—
33	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
34	C₂³×C₄×C₁₉	—	2	24	no	—
35	C₂³×C₄×C₁₉	C₂×C₄	1	24	yes	—
36	C₂³×C₄×C₁₉	C₂³	1	6	yes	—
37	C₂³×C₄×C₁₉	C₂³	1	12	yes	—
38	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
39	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
40	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
41	C₄×Q₈×C₁₉	—	2	64	no	—
42	C₂×C₄⋊C₄×C₁₉	—	2	24	no	—
43	C₂×C₄⋊C₄×C₁₉	C₂³	1	24	yes	—
44	C₂×C₂²⋊C₄×C₁₉	—	2	12	no	—
45	C₂×C₂²⋊C₄×C₁₉	Q₈	1	8	yes	direct product factor
46	C₂×C₂²⋊C₄×C₁₉	C₂³	1	12	yes	—
47	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
48	C₂×C₄²×C₁₉	—	2	24	no	—
49	C₂×C₄²×C₁₉	C₂³	1	24	yes	—
50	C₁₉×#95	C₂³	1	24	yes	—
51	C₁₉×#95	C₂³	1	24	yes	—
52	C₂⁴×C₁₉	—	2	4	no	—
53	C₂⁴×C₁₉	—	2	4	no	—
54	C₂⁴×C₁₉	C₂²×C₄	1	4	yes	—
55	C₂⁴×C₁₉	C₂×Q₈	1	4	yes	—
56	C₂⁴×C₁₉	#41	1	4	yes	—
57	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
58	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
59	C₂×Q₈×C₁₉	—	2	256	no	—
60	C₂×Q₈×C₁₉	—	2	96	no	—
61	C₂×Q₈×C₁₉	—	2	48	no	—
62	C₂×Q₈×C₁₉	C₂²⋊C₄	1	64	yes	direct product factor
63	C₂×Q₈×C₁₉	C₂²×C₄	1	48	yes	—
64	C₂×Q₈×C₁₉	C₂²×C₄	1	16	yes	—
65	C₂×Q₈×C₁₉	C₂×D₄	1	32	yes	—
66	C₂²×C₄×C₁₉	—	2	4	no	—
67	C₂²×C₄×C₁₉	—	2	12	no	—
68	C₂²×C₄×C₁₉	—	2	4	no	—
69	C₂²×C₄×C₁₉	—	2	96	no	—
70	C₂²×C₄×C₁₉	—	2	48	no	—
71	C₂²×C₄×C₁₉	—	2	12	no	—
72	C₂²×C₄×C₁₉	—	2	12	no	—
73	C₂²×C₄×C₁₉	—	2	12	no	—
74	C₂²×C₄×C₁₉	C₂²×C₄	1	12	yes	—
75	C₂²×C₄×C₁₉	C₂²×C₄	1	48	yes	—
76	C₂²×C₄×C₁₉	C₂²×C₄	1	12	yes	—
77	C₂²×C₄×C₁₉	C₂×D₄	1	24	yes	—
78	C₂²×C₄×C₁₉	C₂×Q₈	1	8	yes	complemented
79	C₂²×C₄×C₁₉	C₂⁴	1	12	yes	—
80	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
81	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
82	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
83	C₄⋊C₄×C₁₉	—	2	48	no	—
84	C₂²⋊C₄×C₁₉	—	2	24	no	—
85	C₂²⋊C₄×C₁₉	C₂×Q₈	1	16	yes	direct product factor
86	C₄²×C₁₉	—	2	48	no	—
87	C₂×Q₈×C₂²⋊C₄	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
88	C₂³×C₁₉	—	2	8	no	—
89	C₂³×C₁₉	—	2	8	no	—
90	C₂³×C₁₉	—	2	16	no	—
91	C₂³×C₁₉	—	2	16	no	—
92	C₂³×C₁₉	—	2	4	no	—
93	C₂³×C₁₉	—	2	4	no	—
94	C₂³×C₁₉	C₄×Q₈	1	16	yes	complemented
95	C₂³×C₁₉	C₂³×C₄	1	4	yes	—
96	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
97	C₂³×C₁₉	C₂²×D₄	1	4	yes	—
98	C₂³×C₁₉	C₂²×Q₈	1	4	yes	—
99	C₂³×C₁₉	C₂²×Q₈	1	2	yes	—
100	C₂³×C₁₉	C₂×#41	1	4	yes	—
101	C₂³×C₁₉	C₂×#41	1	2	yes	—
102	C₂³×C₁₉	2₋¹⁺⁴	1	4	yes	—
103	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
104	Q₈×C₁₉	—	2	96	no	—
105	Q₈×C₁₉	C₂×C₂²⋊C₄	1	64	yes	direct product factor
106	C₂×C₄×C₁₉	—	2	24	no	—
107	C₂×C₄×C₁₉	—	2	16	no	—
108	C₂×C₄×C₁₉	—	2	4	no	—
109	C₂×C₄×C₁₉	—	2	12	no	—
110	C₂×C₄×C₁₉	—	2	4	no	—
111	C₂×C₄×C₁₉	—	2	96	no	—
112	C₂×C₄×C₁₉	—	2	12	no	—
113	C₂×C₄×C₁₉	—	2	12	no	—
114	C₂×C₄×C₁₉	—	2	12	no	—
115	C₂×C₄×C₁₉	—	4	24	no	—
116	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	48	yes	—
117	C₂×C₄×C₁₉	C₂³×C₄	1	12	yes	—
118	C₂×C₄×C₁₉	C₂³×C₄	1	12	yes	—
119	C₂×C₄×C₁₉	C₂²×D₄	1	24	yes	—
120	C₂×C₄×C₁₉	C₂²×Q₈	1	8	yes	complemented
121	C₂⁴×Q₈	C₂×C₁₉	1	1	yes	characteristic
122	C₂²×C₄×Q₈	C₂×C₁₉	1	2	yes	complemented
123	Q₈×C₂²⋊C₄	C₂×C₁₉	1	16	yes	direct product factor
124	C₂×#391	C₂×C₁₉	1	6	yes	complemented
125	C₂×#380	C₂×C₁₉	1	3	yes	—
126	C₂×C₄×C₂²⋊C₄	C₂×C₁₉	1	3	yes	—
127	C₂²×C₁₉	—	2	32	no	—
128	C₂²×C₁₉	—	2	4	no	—
129	C₂²×C₁₉	—	2	4	no	—
130	C₂²×C₁₉	—	2	8	no	—
131	C₂²×C₁₉	—	2	8	no	—
132	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	4	yes	—
133	C₂²×C₁₉	C₂×C₄×Q₈	1	4	yes	—
134	C₂²×C₁₉	C₂×C₄×Q₈	1	8	yes	complemented
135	C₂²×C₁₉	#519	1	4	yes	—
136	C₂²×C₁₉	#548	1	8	yes	—
137	C₂²×C₁₉	D₄×Q₈	1	8	yes	—
138	C₂²×C₁₉	C₂⁴×C₄	1	1	yes	characteristic
139	C₂²×C₁₉	C₂³×D₄	1	2	yes	—
140	C₂²×C₁₉	C₂³×Q₈	1	1	yes	characteristic
141	C₂²×C₁₉	C₂²×#41	1	1	yes	characteristic
142	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
143	C₄×C₁₉	—	2	12	no	—
144	C₄×C₁₉	—	2	8	no	—
145	C₄×C₁₉	—	4	12	no	—
146	C₄×C₁₉	C₂²×C₂²⋊C₄	1	24	yes	—
147	C₂³×Q₈	—	2	16	no	—
148	C₂³×Q₈	C₄×C₁₉	1	16	yes	complemented
149	C₂³×Q₈	C₂²×C₁₉	1	3	yes	—
150	C₂³×Q₈	C₂²×C₁₉	1	8	yes	—
151	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic
152	C₂⁴×C₄	C₂²×C₁₉	1	3	yes	—
153	C₂×C₄×Q₈	—	2	16	no	—
154	C₂×C₄×Q₈	C₂²×C₁₉	1	16	yes	complemented
155	C₂²×C₄⋊C₄	C₂²×C₁₉	1	6	yes	—
156	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	3	yes	—
157	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
158	C₂²×C₄²	C₂²×C₁₉	1	6	yes	—
159	#391	C₂²×C₁₉	1	48	yes	complemented
160	#380	C₂²×C₁₉	1	24	yes	—
161	C₄×C₂²⋊C₄	C₂²×C₁₉	1	24	yes	—
162	C₂×#95	C₂²×C₁₉	1	6	yes	—
163	C₂×#95	C₂²×C₁₉	1	6	yes	—
164	C₂×C₁₉	—	2	8	no	—
165	C₂×C₁₉	Q₈×C₂²⋊C₄	1	8	yes	direct product factor
166	C₂×C₁₉	C₂³×C₂²⋊C₄	1	1	yes	characteristic
167	C₂×C₁₉	C₂²×C₄×Q₈	1	1	yes	characteristic
168	C₂×C₁₉	C₂×#519	1	1	yes	characteristic
169	C₂×C₁₉	C₂×#548	1	2	yes	—
170	C₂×C₁₉	C₂×D₄×Q₈	1	2	yes	—
171	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
172	C₂²×Q₈	—	2	128	no	—
173	C₂²×Q₈	—	2	64	no	—
174	C₂²×Q₈	—	2	24	no	—
175	C₂²×Q₈	C₂×C₄×C₁₉	1	24	yes	—
176	C₂²×Q₈	C₂×C₄×C₁₉	1	8	yes	—
177	C₂²×Q₈	C₂×C₄×C₁₉	1	64	yes	complemented
178	C₂²×Q₈	D₄×C₁₉	1	16	yes	—
179	C₂²×Q₈	C₂³×C₁₉	1	12	yes	—
180	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
181	C₂³×C₄	—	2	24	no	—
182	C₂³×C₄	C₂×C₄×C₁₉	1	24	yes	—
183	C₂³×C₄	C₂³×C₁₉	1	6	yes	—
184	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
185	C₂³×C₄	C₂³×C₁₉	1	12	yes	—
186	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
187	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
188	C₄×Q₈	—	2	64	no	—
189	C₂×C₄⋊C₄	—	2	24	no	—
190	C₂×C₄⋊C₄	C₂³×C₁₉	1	24	yes	—
191	C₂×C₂²⋊C₄	—	2	12	no	—
192	C₂×C₂²⋊C₄	Q₈×C₁₉	1	8	yes	direct product factor
193	C₂×C₂²⋊C₄	C₂³×C₁₉	1	12	yes	—
194	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
195	C₂×C₄²	—	2	24	no	—
196	C₂×C₄²	C₂³×C₁₉	1	24	yes	—
197	#95	C₂³×C₁₉	1	24	yes	—
198	#95	C₂³×C₁₉	1	24	yes	—
199	C₁₉	C₂×Q₈×C₂²⋊C₄	1	1	yes	characteristic, direct product factor, Sylow
200	C₂⁴	—	2	4	no	—
201	C₂⁴	—	2	4	no	—
202	C₂⁴	C₂²×C₄×C₁₉	1	4	yes	—
203	C₂⁴	C₂×Q₈×C₁₉	1	4	yes	—
204	C₂⁴	#41×C₁₉	1	4	yes	—
205	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
206	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
207	C₂×Q₈	—	2	256	no	—
208	C₂×Q₈	—	2	96	no	—
209	C₂×Q₈	—	2	48	no	—
210	C₂×Q₈	C₂²⋊C₄×C₁₉	1	64	yes	direct product factor
211	C₂×Q₈	C₂²×C₄×C₁₉	1	48	yes	—
212	C₂×Q₈	C₂²×C₄×C₁₉	1	16	yes	—
213	C₂×Q₈	C₂×D₄×C₁₉	1	32	yes	—
214	C₂²×C₄	—	2	4	no	—
215	C₂²×C₄	—	2	12	no	—
216	C₂²×C₄	—	2	4	no	—
217	C₂²×C₄	—	2	96	no	—
218	C₂²×C₄	—	2	48	no	—
219	C₂²×C₄	—	2	12	no	—
220	C₂²×C₄	—	2	12	no	—
221	C₂²×C₄	—	2	12	no	—
222	C₂²×C₄	C₂²×C₄×C₁₉	1	12	yes	—
223	C₂²×C₄	C₂²×C₄×C₁₉	1	48	yes	—
224	C₂²×C₄	C₂²×C₄×C₁₉	1	12	yes	—
225	C₂²×C₄	C₂×D₄×C₁₉	1	24	yes	—
226	C₂²×C₄	C₂×Q₈×C₁₉	1	8	yes	complemented
227	C₂²×C₄	C₂⁴×C₁₉	1	12	yes	—
228	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
229	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
230	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
231	C₄⋊C₄	—	2	48	no	—
232	C₂²⋊C₄	—	2	24	no	—
233	C₂²⋊C₄	C₂×Q₈×C₁₉	1	16	yes	direct product factor
234	C₄²	—	2	48	no	—
235	C₂³	—	2	8	no	—
236	C₂³	—	2	8	no	—
237	C₂³	—	2	16	no	—
238	C₂³	—	2	16	no	—
239	C₂³	—	2	4	no	—
240	C₂³	—	2	4	no	—
241	C₂³	C₄×Q₈×C₁₉	1	16	yes	complemented
242	C₂³	C₂³×C₄×C₁₉	1	4	yes	—
243	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
244	C₂³	C₂²×D₄×C₁₉	1	4	yes	—
245	C₂³	C₂²×Q₈×C₁₉	1	4	yes	—
246	C₂³	C₂²×Q₈×C₁₉	1	2	yes	—
247	C₂³	C₂×#41×C₁₉	1	4	yes	—
248	C₂³	C₂×#41×C₁₉	1	2	yes	—
249	C₂³	C₁₉×2₋¹⁺⁴	1	4	yes	—
250	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
251	Q₈	—	2	96	no	—
252	Q₈	C₂×C₂²⋊C₄×C₁₉	1	64	yes	direct product factor
253	C₂×C₄	—	2	24	no	—
254	C₂×C₄	—	2	16	no	—
255	C₂×C₄	—	2	4	no	—
256	C₂×C₄	—	2	12	no	—
257	C₂×C₄	—	2	4	no	—
258	C₂×C₄	—	2	96	no	—
259	C₂×C₄	—	2	12	no	—
260	C₂×C₄	—	2	12	no	—
261	C₂×C₄	—	2	12	no	—
262	C₂×C₄	—	4	24	no	—
263	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	48	yes	—
264	C₂×C₄	C₂³×C₄×C₁₉	1	12	yes	—
265	C₂×C₄	C₂³×C₄×C₁₉	1	12	yes	—
266	C₂×C₄	C₂²×D₄×C₁₉	1	24	yes	—
267	C₂×C₄	C₂²×Q₈×C₁₉	1	8	yes	complemented
268	C₂²	—	2	4	no	—
269	C₂²	—	2	8	no	—
270	C₂²	—	2	8	no	—
271	C₂²	—	2	32	no	—
272	C₂²	—	2	4	no	—
273	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	4	yes	—
274	C₂²	C₂×C₄×Q₈×C₁₉	1	4	yes	—
275	C₂²	C₂×C₄×Q₈×C₁₉	1	8	yes	complemented
276	C₂²	C₁₉×#519	1	4	yes	—
277	C₂²	C₁₉×#548	1	8	yes	—
278	C₂²	D₄×Q₈×C₁₉	1	8	yes	—
279	C₂²	C₂⁴×C₄×C₁₉	1	1	yes	characteristic
280	C₂²	C₂³×D₄×C₁₉	1	2	yes	—
281	C₂²	C₂³×Q₈×C₁₉	1	1	yes	characteristic
282	C₂²	C₂²×#41×C₁₉	1	1	yes	characteristic
283	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
284	C₄	—	2	8	no	—
285	C₄	—	2	12	no	—
286	C₄	—	4	12	no	—
287	C₄	C₂²×C₂²⋊C₄×C₁₉	1	24	yes	—
288	C₂	—	2	8	no	—
289	C₂	Q₈×C₂²⋊C₄×C₁₉	1	8	yes	direct product factor
290	C₂	C₂³×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
291	C₂	C₂²×C₄×Q₈×C₁₉	1	1	yes	characteristic
292	C₂	C₂×C₁₉×#519	1	1	yes	characteristic
293	C₂	C₂×C₁₉×#548	1	2	yes	—
294	C₂	C₂×D₄×Q₈×C₁₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₁₉	C₂⁴
commutator	C₂²	C₂⁴×C₄×C₁₉
Frattini, cosocle	C₂³	C₂⁵×C₁₉
prime radical	C₂⁵×C₁₉	C₂³
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₄×Q₈×C₁₉	C₂	semidirect
3. Q₈×C₂²⋊C₄×C₁₉	C₂	direct (N × H)
4. C₂×C₁₉×#391	C₂	semidirect
8. C₂³×Q₈×C₁₉	C₄	semidirect
14. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
19. C₁₉×#391	C₂²	semidirect
30. C₂²×Q₈×C₁₉	C₂×C₄	semidirect
45. C₂×C₂²⋊C₄×C₁₉	Q₈	direct (N × H)
62. C₂×Q₈×C₁₉	C₂²⋊C₄	direct (N × H)
78. C₂²×C₄×C₁₉	C₂×Q₈	semidirect
85. C₂²⋊C₄×C₁₉	C₂×Q₈	direct (N × H)
87. C₂×Q₈×C₂²⋊C₄	C₁₉	direct (N × H)
94. C₂³×C₁₉	C₄×Q₈	semidirect
105. Q₈×C₁₉	C₂×C₂²⋊C₄	direct (N × H)
120. C₂×C₄×C₁₉	C₂²×Q₈	semidirect
122. C₂²×C₄×Q₈	C₂×C₁₉	semidirect
123. Q₈×C₂²⋊C₄	C₂×C₁₉	direct (N × H)
124. C₂×#391	C₂×C₁₉	semidirect
134. C₂²×C₁₉	C₂×C₄×Q₈	semidirect
148. C₂³×Q₈	C₄×C₁₉	semidirect
154. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
159. #391	C₂²×C₁₉	semidirect
165. C₂×C₁₉	Q₈×C₂²⋊C₄	direct (N × H)
177. C₂²×Q₈	C₂×C₄×C₁₉	semidirect
192. C₂×C₂²⋊C₄	Q₈×C₁₉	direct (N × H)
199. C₁₉	C₂×Q₈×C₂²⋊C₄	direct (N × H)
210. C₂×Q₈	C₂²⋊C₄×C₁₉	direct (N × H)
226. C₂²×C₄	C₂×Q₈×C₁₉	semidirect
233. C₂²⋊C₄	C₂×Q₈×C₁₉	direct (N × H)
241. C₂³	C₄×Q₈×C₁₉	semidirect
252. Q₈	C₂×C₂²⋊C₄×C₁₉	direct (N × H)
267. C₂×C₄	C₂²×Q₈×C₁₉	semidirect
275. C₂²	C₂×C₄×Q₈×C₁₉	semidirect
289. C₂	Q₈×C₂²⋊C₄×C₁₉	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×Q₈×C₁₉	2
C₂²×C₄×Q₈×C₁₉	2
Q₈×C₂²⋊C₄×C₁₉	2
C₂×C₁₉×#391	2
C₂×C₁₉×#380	2
C₂×C₄×C₂²⋊C₄×C₁₉	2
C₂×Q₈×C₂²⋊C₄	19

Subgroups — C2×Q8×C22⋊C4×C19 #18040059

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×Q₈×C₂²⋊C₄×C₁₉ #18040059