Subgroups — C₂×C₁₉×#2331 #18040032

Order 4864.

2526 conjugacy classes of subgroups.

The subgroup lattice has 320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2331	C₂	1	16	yes	maximal, direct product factor
3	C₂×C₁₉×#391	C₂	1	4	yes	maximal
4	C₂×C₁₉×#389	C₂	1	2	yes	maximal
5	C₂×C₁₉×#387	C₂	1	4	yes	maximal
6	C₂×C₁₉×#382	C₂	1	1	yes	maximal, characteristic
7	C₂×C₄×C₄⋊C₄×C₁₉	C₂	1	2	yes	maximal
8	C₂×C₁₉×#376	C₂	1	1	yes	maximal, characteristic
9	C₂³×Q₈×C₁₉	C₂²	1	2	yes	—
10	C₂×C₁₉×C₄⋊Q₈	C₄	1	16	yes	complemented
11	C₂×C₁₉×C₄⋊Q₈	C₂²	1	8	yes	—
12	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
13	C₂²×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
14	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
15	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
16	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×C₄²×C₁₉	C₂²	1	4	yes	—
18	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
19	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
20	C₁₉×#391	C₂²	1	32	yes	—
21	C₁₉×#389	C₂²	1	16	yes	—
22	C₁₉×#387	C₂²	1	32	yes	—
23	C₁₉×#382	C₂²	1	8	yes	—
24	C₄×C₄⋊C₄×C₁₉	C₂²	1	16	yes	—
25	C₁₉×#376	C₂²	1	8	yes	—
26	C₂×C₁₉×#95	C₂²	1	2	yes	—
27	C₂×C₁₉×#95	C₂²	1	2	yes	—
28	C₂×C₁₉×#95	C₂²	1	4	yes	—
29	C₂×C₁₉×#95	C₂²	1	2	yes	—
30	C₂×C₁₉×#95	C₂²	1	2	yes	—
31	C₂×C₁₉×#95	C₂²	1	4	yes	—
32	C₂²×Q₈×C₁₉	—	4	8	no	—
33	C₂²×Q₈×C₁₉	C₂×C₄	1	16	yes	—
34	C₂²×Q₈×C₁₉	C₂³	1	8	yes	—
35	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
36	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
37	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
38	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
39	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
40	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
41	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
42	C₁₉×C₄⋊Q₈	C₂×C₄	1	64	yes	complemented
43	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
44	C₂×C₄⋊C₄×C₁₉	—	4	8	no	—
45	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	16	yes	—
46	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	16	yes	—
47	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
48	C₂×C₄⋊C₄×C₁₉	C₂³	1	16	yes	—
49	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
50	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
51	C₂×C₄²×C₁₉	—	2	4	no	—
52	C₂×C₄²×C₁₉	—	4	8	no	—
53	C₂×C₄²×C₁₉	C₂×C₄	1	8	yes	—
54	C₂×C₄²×C₁₉	Q₈	1	8	yes	complemented
55	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
56	C₂×C₄²×C₁₉	C₂³	1	16	yes	—
57	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
58	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
59	C₁₉×#95	C₂³	1	8	yes	—
60	C₁₉×#95	C₂³	1	8	yes	—
61	C₁₉×#95	C₂³	1	16	yes	—
62	C₁₉×#95	C₂³	1	8	yes	—
63	C₁₉×#95	C₂³	1	8	yes	—
64	C₁₉×#95	C₂³	1	16	yes	—
65	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
66	C₂×Q₈×C₁₉	—	4	32	no	—
67	C₂×Q₈×C₁₉	—	4	16	no	—
68	C₂×Q₈×C₁₉	C₂²×C₄	1	32	yes	—
69	C₂²×C₄×C₁₉	—	2	4	no	—
70	C₂²×C₄×C₁₉	—	2	8	no	—
71	C₂²×C₄×C₁₉	—	2	8	no	—
72	C₂²×C₄×C₁₉	—	2	4	no	—
73	C₂²×C₄×C₁₉	—	2	4	no	—
74	C₂²×C₄×C₁₉	—	2	4	no	—
75	C₂²×C₄×C₁₉	—	2	4	no	—
76	C₂²×C₄×C₁₉	—	2	8	no	—
77	C₂²×C₄×C₁₉	—	2	8	no	—
78	C₂²×C₄×C₁₉	—	2	4	no	—
79	C₂²×C₄×C₁₉	—	2	4	no	—
80	C₂²×C₄×C₁₉	—	2	8	no	—
81	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
82	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
83	C₂²×C₄×C₁₉	C₂²×C₄	1	16	yes	—
84	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
85	C₂²×C₄×C₁₉	C₂×Q₈	1	8	yes	—
86	C₂²×C₄×C₁₉	C₂×Q₈	1	4	yes	—
87	C₂²×C₄×C₁₉	#41	1	4	yes	—
88	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
89	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
90	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
91	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
92	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
93	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
94	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
95	C₄⋊C₄×C₁₉	—	2	16	no	—
96	C₄⋊C₄×C₁₉	—	4	16	no	—
97	C₄⋊C₄×C₁₉	C₂²×C₄	1	32	yes	—
98	C₄⋊C₄×C₁₉	C₂²×C₄	1	32	yes	—
99	C₄²×C₁₉	—	2	8	no	—
100	C₄²×C₁₉	—	4	16	no	—
101	C₄²×C₁₉	C₂²×C₄	1	16	yes	—
102	C₄²×C₁₉	C₂×Q₈	1	16	yes	complemented
103	C₂×#2331	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
104	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
105	C₂³×C₁₉	C₂²×Q₈	1	2	yes	—
106	C₂³×C₁₉	C₂×#41	1	2	yes	—
107	C₂³×C₁₉	H(5,𝔽₂)	1	4	yes	—
108	C₂³×C₁₉	2₋¹⁺⁴	1	4	yes	—
109	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
110	Q₈×C₁₉	—	4	32	no	—
111	C₂×C₄×C₁₉	—	2	32	no	—
112	C₂×C₄×C₁₉	—	2	8	no	—
113	C₂×C₄×C₁₉	—	2	8	no	—
114	C₂×C₄×C₁₉	—	2	16	no	—
115	C₂×C₄×C₁₉	—	2	4	no	—
116	C₂×C₄×C₁₉	—	2	8	no	—
117	C₂×C₄×C₁₉	—	2	8	no	—
118	C₂×C₄×C₁₉	—	2	4	no	—
119	C₂×C₄×C₁₉	—	2	4	no	—
120	C₂×C₄×C₁₉	—	2	4	no	—
121	C₂×C₄×C₁₉	—	2	4	no	—
122	C₂×C₄×C₁₉	—	2	8	no	—
123	C₂×C₄×C₁₉	—	2	8	no	—
124	C₂×C₄×C₁₉	—	2	4	no	—
125	C₂×C₄×C₁₉	—	2	4	no	—
126	C₂×C₄×C₁₉	—	2	8	no	—
127	C₂×C₄×C₁₉	—	4	8	no	—
128	C₂×C₄×C₁₉	—	4	16	no	—
129	C₂×C₄×C₁₉	C₄×Q₈	1	16	yes	—
130	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
131	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
132	C₂×C₄×C₁₉	C₂³×C₄	1	16	yes	—
133	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
134	C₂×C₄×C₁₉	C₂²×Q₈	1	8	yes	—
135	C₂×C₄×C₁₉	C₂²×Q₈	1	4	yes	—
136	C₂×C₄×C₁₉	C₂×#41	1	4	yes	—
137	C₂²×C₄⋊Q₈	C₂×C₁₉	1	1	yes	characteristic
138	#2331	C₂×C₁₉	1	16	yes	direct product factor
139	C₂×#391	C₂×C₁₉	1	4	yes	—
140	C₂×#389	C₂×C₁₉	1	2	yes	—
141	C₂×#387	C₂×C₁₉	1	4	yes	—
142	C₂×#382	C₂×C₁₉	1	1	yes	characteristic
143	C₂×C₄×C₄⋊C₄	C₂×C₁₉	1	2	yes	—
144	C₂×#376	C₂×C₁₉	1	1	yes	characteristic
145	C₂²×C₁₉	C₂×C₄×Q₈	1	4	yes	—
146	C₂²×C₁₉	#518	1	4	yes	—
147	C₂²×C₁₉	#519	1	4	yes	—
148	C₂²×C₁₉	#542	1	8	yes	—
149	C₂²×C₁₉	#544	1	8	yes	—
150	C₂²×C₁₉	C₂⁴×C₄	1	1	yes	characteristic
151	C₂²×C₁₉	C₂³×Q₈	1	1	yes	characteristic
152	C₂²×C₁₉	C₂²×#41	1	1	yes	characteristic
153	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
154	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
155	C₄×C₁₉	—	2	16	no	—
156	C₄×C₁₉	—	2	4	no	—
157	C₄×C₁₉	—	2	4	no	—
158	C₄×C₁₉	—	2	8	no	—
159	C₄×C₁₉	—	4	4	no	—
160	C₄×C₁₉	—	4	8	no	—
161	C₄×C₁₉	C₂×C₄×Q₈	1	8	yes	—
162	C₂³×Q₈	C₂²×C₁₉	1	2	yes	—
163	C₂×C₄⋊Q₈	C₄×C₁₉	1	16	yes	complemented
164	C₂×C₄⋊Q₈	C₂²×C₁₉	1	8	yes	—
165	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
166	C₂²×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
167	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
168	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
169	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
170	C₂²×C₄²	C₂²×C₁₉	1	4	yes	—
171	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
172	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
173	#391	C₂²×C₁₉	1	32	yes	—
174	#389	C₂²×C₁₉	1	16	yes	—
175	#387	C₂²×C₁₉	1	32	yes	—
176	#382	C₂²×C₁₉	1	8	yes	—
177	C₄×C₄⋊C₄	C₂²×C₁₉	1	16	yes	—
178	#376	C₂²×C₁₉	1	8	yes	—
179	C₂×#95	C₂²×C₁₉	1	2	yes	—
180	C₂×#95	C₂²×C₁₉	1	2	yes	—
181	C₂×#95	C₂²×C₁₉	1	4	yes	—
182	C₂×#95	C₂²×C₁₉	1	2	yes	—
183	C₂×#95	C₂²×C₁₉	1	2	yes	—
184	C₂×#95	C₂²×C₁₉	1	4	yes	—
185	C₂×C₁₉	#2331	1	8	yes	direct product factor
186	C₂×C₁₉	C₂²×C₄×Q₈	1	1	yes	characteristic
187	C₂×C₁₉	C₂×#518	1	1	yes	characteristic
188	C₂×C₁₉	C₂×#519	1	1	yes	characteristic
189	C₂×C₁₉	C₂×#542	1	2	yes	—
190	C₂×C₁₉	C₂×#544	1	2	yes	—
191	C₂²×Q₈	—	4	8	no	—
192	C₂²×Q₈	C₂×C₄×C₁₉	1	16	yes	—
193	C₂²×Q₈	C₂³×C₁₉	1	8	yes	—
194	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
195	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
196	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
197	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
198	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
199	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
200	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
201	C₄⋊Q₈	C₂×C₄×C₁₉	1	64	yes	complemented
202	C₂×C₄⋊C₄	—	2	8	no	—
203	C₂×C₄⋊C₄	—	4	8	no	—
204	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	16	yes	—
205	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	16	yes	—
206	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
207	C₂×C₄⋊C₄	C₂³×C₁₉	1	16	yes	—
208	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
209	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
210	C₂×C₄²	—	2	4	no	—
211	C₂×C₄²	—	4	8	no	—
212	C₂×C₄²	C₂×C₄×C₁₉	1	8	yes	—
213	C₂×C₄²	Q₈×C₁₉	1	8	yes	complemented
214	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
215	C₂×C₄²	C₂³×C₁₉	1	16	yes	—
216	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
217	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
218	#95	C₂³×C₁₉	1	8	yes	—
219	#95	C₂³×C₁₉	1	8	yes	—
220	#95	C₂³×C₁₉	1	16	yes	—
221	#95	C₂³×C₁₉	1	8	yes	—
222	#95	C₂³×C₁₉	1	8	yes	—
223	#95	C₂³×C₁₉	1	16	yes	—
224	C₁₉	C₂×#2331	1	1	yes	characteristic, direct product factor, Sylow
225	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
226	C₂×Q₈	—	4	32	no	—
227	C₂×Q₈	—	4	16	no	—
228	C₂×Q₈	C₂²×C₄×C₁₉	1	32	yes	—
229	C₂²×C₄	—	2	4	no	—
230	C₂²×C₄	—	2	8	no	—
231	C₂²×C₄	—	2	8	no	—
232	C₂²×C₄	—	2	4	no	—
233	C₂²×C₄	—	2	4	no	—
234	C₂²×C₄	—	2	4	no	—
235	C₂²×C₄	—	2	4	no	—
236	C₂²×C₄	—	2	8	no	—
237	C₂²×C₄	—	2	8	no	—
238	C₂²×C₄	—	2	4	no	—
239	C₂²×C₄	—	2	4	no	—
240	C₂²×C₄	—	2	8	no	—
241	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
242	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
243	C₂²×C₄	C₂²×C₄×C₁₉	1	16	yes	—
244	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
245	C₂²×C₄	C₂×Q₈×C₁₉	1	8	yes	—
246	C₂²×C₄	C₂×Q₈×C₁₉	1	4	yes	—
247	C₂²×C₄	#41×C₁₉	1	4	yes	—
248	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
249	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
250	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
251	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
252	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
253	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
254	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
255	C₄⋊C₄	—	2	16	no	—
256	C₄⋊C₄	—	4	16	no	—
257	C₄⋊C₄	C₂²×C₄×C₁₉	1	32	yes	—
258	C₄⋊C₄	C₂²×C₄×C₁₉	1	32	yes	—
259	C₄²	—	2	8	no	—
260	C₄²	—	4	16	no	—
261	C₄²	C₂²×C₄×C₁₉	1	16	yes	—
262	C₄²	C₂×Q₈×C₁₉	1	16	yes	complemented
263	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
264	C₂³	C₂²×Q₈×C₁₉	1	2	yes	—
265	C₂³	C₂×#41×C₁₉	1	2	yes	—
266	C₂³	C₁₉×H(5,𝔽₂)	1	4	yes	—
267	C₂³	C₁₉×2₋¹⁺⁴	1	4	yes	—
268	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
269	Q₈	—	4	32	no	—
270	C₂×C₄	—	2	8	no	—
271	C₂×C₄	—	2	32	no	—
272	C₂×C₄	—	2	8	no	—
273	C₂×C₄	—	2	16	no	—
274	C₂×C₄	—	2	4	no	—
275	C₂×C₄	—	2	8	no	—
276	C₂×C₄	—	2	8	no	—
277	C₂×C₄	—	2	4	no	—
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	2	4	no	—
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	2	8	no	—
282	C₂×C₄	—	2	8	no	—
283	C₂×C₄	—	2	4	no	—
284	C₂×C₄	—	2	4	no	—
285	C₂×C₄	—	2	8	no	—
286	C₂×C₄	—	4	8	no	—
287	C₂×C₄	—	4	16	no	—
288	C₂×C₄	C₄×Q₈×C₁₉	1	16	yes	—
289	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
290	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
291	C₂×C₄	C₂³×C₄×C₁₉	1	16	yes	—
292	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
293	C₂×C₄	C₂²×Q₈×C₁₉	1	8	yes	—
294	C₂×C₄	C₂²×Q₈×C₁₉	1	4	yes	—
295	C₂×C₄	C₂×#41×C₁₉	1	4	yes	—
296	C₂²	C₂×C₄×Q₈×C₁₉	1	4	yes	—
297	C₂²	C₁₉×#518	1	4	yes	—
298	C₂²	C₁₉×#519	1	4	yes	—
299	C₂²	C₁₉×#542	1	8	yes	—
300	C₂²	C₁₉×#544	1	8	yes	—
301	C₂²	C₂⁴×C₄×C₁₉	1	1	yes	characteristic
302	C₂²	C₂³×Q₈×C₁₉	1	1	yes	characteristic
303	C₂²	C₂²×#41×C₁₉	1	1	yes	characteristic
304	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
305	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
306	C₄	—	2	4	no	—
307	C₄	—	2	16	no	—
308	C₄	—	2	4	no	—
309	C₄	—	2	8	no	—
310	C₄	—	4	4	no	—
311	C₄	—	4	8	no	—
312	C₄	C₂×C₄×Q₈×C₁₉	1	8	yes	—
313	C₂	C₁₉×#2331	1	8	yes	direct product factor
314	C₂	C₂²×C₄×Q₈×C₁₉	1	1	yes	characteristic
315	C₂	C₂×C₁₉×#518	1	1	yes	characteristic
316	C₂	C₂×C₁₉×#519	1	1	yes	characteristic
317	C₂	C₂×C₁₉×#542	1	2	yes	—
318	C₂	C₂×C₁₉×#544	1	2	yes	—

	subgroup	G/H
center, socle, prime radical	C₂⁴×C₁₉	C₂⁴
commutator	C₂²	C₂⁴×C₄×C₁₉
Frattini, cosocle	C₂³	C₂⁵×C₁₉
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. C₁₉×#2331	C₂	direct (N × H)
10. C₂×C₁₉×C₄⋊Q₈	C₄	semidirect
42. C₁₉×C₄⋊Q₈	C₂×C₄	semidirect
54. C₂×C₄²×C₁₉	Q₈	semidirect
102. C₄²×C₁₉	C₂×Q₈	semidirect
103. C₂×#2331	C₁₉	direct (N × H)
138. #2331	C₂×C₁₉	direct (N × H)
163. C₂×C₄⋊Q₈	C₄×C₁₉	semidirect
185. C₂×C₁₉	#2331	direct (N × H)
201. C₄⋊Q₈	C₂×C₄×C₁₉	semidirect
213. C₂×C₄²	Q₈×C₁₉	semidirect
224. C₁₉	C₂×#2331	direct (N × H)
262. C₄²	C₂×Q₈×C₁₉	semidirect
313. C₂	C₁₉×#2331	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×C₁₉×C₄⋊Q₈	2
C₁₉×#2331	2
C₂×C₁₉×#391	2
C₂×C₁₉×#389	2
C₂×C₁₉×#387	2
C₂×C₁₉×#382	2
C₂×C₄×C₄⋊C₄×C₁₉	2
C₂×C₁₉×#376	2
C₂×#2331	19

Subgroups — C2×C19×#2331 #18040032

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₉×#2331 #18040032