Subgroups — C₁₉×#34196 #18040155

Order 4864.

2350 conjugacy classes of subgroups.

The subgroup lattice has 330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄×Q₈×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2355	C₂	1	6	yes	maximal, complemented
3	Q₈×C₄⋊C₄×C₁₉	C₂	1	2	yes	maximal, complemented
4	C₁₉×#2344	C₂	1	6	yes	maximal
5	Q₈×C₂²⋊C₄×C₁₉	C₂	1	2	yes	maximal
6	C₁₉×#2320	C₂	1	6	yes	maximal, complemented
7	C₁₉×#2285	C₂	1	3	yes	maximal
8	C₁₉×#2283	C₂	1	3	yes	maximal
9	C₁₉×#2276	C₂	1	2	yes	maximal, complemented
10	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic
11	C₂×C₄×Q₈×C₁₉	C₄	1	16	yes	complemented
12	C₂×C₄×Q₈×C₁₉	C₂²	1	4	yes	—
13	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
14	C₂×C₄×Q₈×C₁₉	C₂²	1	3	yes	—
15	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
16	C₂×C₄×Q₈×C₁₉	C₂²	1	3	yes	—
17	C₂×C₁₉×#117	C₂²	1	6	yes	—
18	C₂²×C₄⋊C₄×C₁₉	C₂²	1	3	yes	—
19	C₂²×C₄²×C₁₉	C₂²	1	3	yes	—
20	C₁₉×#391	C₂²	1	12	yes	—
21	C₁₉×#389	C₂²	1	12	yes	—
22	C₁₉×#387	C₂²	1	24	yes	—
23	C₁₉×#384	C₂²	1	6	yes	—
24	C₁₉×#383	C₂²	1	6	yes	—
25	C₁₉×#382	C₂²	1	6	yes	—
26	C₁₉×#382	C₂²	1	6	yes	—
27	C₁₉×#381	C₂²	1	6	yes	—
28	C₁₉×#380	C₂²	1	1	yes	characteristic
29	C₁₉×#380	C₂²	1	3	yes	—
30	C₁₉×#380	C₂²	1	6	yes	—
31	C₄×C₄⋊C₄×C₁₉	C₂²	1	6	yes	—
32	C₄×C₄⋊C₄×C₁₉	C₂²	1	12	yes	—
33	C₄×C₄⋊C₄×C₁₉	C₂²	1	6	yes	—
34	C₄×C₄⋊C₄×C₁₉	C₂²	1	6	yes	—
35	C₄×C₂²⋊C₄×C₁₉	C₂²	1	6	yes	—
36	C₁₉×#376	C₂²	1	6	yes	—
37	C₂²×Q₈×C₁₉	—	2	8	no	—
38	C₂²×Q₈×C₁₉	C₂×C₄	1	8	yes	—
39	C₂²×Q₈×C₁₉	C₂³	1	3	yes	—
40	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
41	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
42	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
43	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
44	C₄×Q₈×C₁₉	—	2	16	no	—
45	C₄×Q₈×C₁₉	C₂×C₄	1	24	yes	—
46	C₄×Q₈×C₁₉	C₂×C₄	1	24	yes	—
47	C₄×Q₈×C₁₉	C₂×C₄	1	8	yes	—
48	C₄×Q₈×C₁₉	C₂×C₄	1	8	yes	—
49	C₁₉×#117	—	4	12	no	—
50	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	24	yes	—
51	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
52	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
53	C₂×C₄⋊C₄×C₁₉	C₂³	1	12	yes	—
54	C₂×C₄⋊C₄×C₁₉	C₂³	1	12	yes	—
55	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
56	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
57	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
58	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
59	C₂×C₂²⋊C₄×C₁₉	C₂³	1	6	yes	—
60	C₂×C₄²×C₁₉	C₂×C₄	1	24	yes	—
61	C₂×C₄²×C₁₉	C₂³	1	12	yes	—
62	C₂×C₄²×C₁₉	C₂³	1	12	yes	—
63	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
64	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
65	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
66	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
67	C₁₉×#95	C₂³	1	2	yes	—
68	C₁₉×#95	C₂³	1	6	yes	—
69	C₁₉×#95	C₂³	1	12	yes	—
70	C₁₉×#95	C₂³	1	12	yes	—
71	C₁₉×#95	C₂³	1	12	yes	—
72	C₁₉×#95	C₂³	1	12	yes	—
73	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
74	C₂×Q₈×C₁₉	—	2	32	no	—
75	C₂×Q₈×C₁₉	—	2	12	no	—
76	C₂×Q₈×C₁₉	C₂²×C₄	1	12	yes	—
77	C₂×Q₈×C₁₉	C₂²×C₄	1	4	yes	—
78	C₂×Q₈×C₁₉	#41	1	8	yes	—
79	C₂²×C₄×C₁₉	—	2	6	no	—
80	C₂²×C₄×C₁₉	—	2	6	no	—
81	C₂²×C₄×C₁₉	—	2	12	no	—
82	C₂²×C₄×C₁₉	—	2	4	no	—
83	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
84	C₂²×C₄×C₁₉	C₂²×C₄	1	12	yes	—
85	C₂²×C₄×C₁₉	C₂²×C₄	1	12	yes	—
86	C₂²×C₄×C₁₉	C₂⁴	1	12	yes	—
87	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
88	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
89	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
90	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
91	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
92	C₂²×C₄×C₁₉	C₂⁴	1	3	yes	—
93	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
94	C₄⋊C₄×C₁₉	—	2	24	no	—
95	C₄⋊C₄×C₁₉	—	2	4	no	—
96	C₄⋊C₄×C₁₉	—	2	12	no	—
97	C₄⋊C₄×C₁₉	—	4	12	no	—
98	C₄⋊C₄×C₁₉	C₂²×C₄	1	24	yes	—
99	C₄⋊C₄×C₁₉	C₂²×C₄	1	12	yes	—
100	C₄⋊C₄×C₁₉	C₂²×C₄	1	12	yes	—
101	C₂²⋊C₄×C₁₉	—	2	12	no	—
102	C₂²⋊C₄×C₁₉	—	2	4	no	—
103	C₄²×C₁₉	—	2	24	no	—
104	C₄²×C₁₉	—	4	12	no	—
105	C₄²×C₁₉	C₂²×C₄	1	12	yes	—
106	C₄²×C₁₉	C₂²×C₄	1	12	yes	—
107	C₄²×C₁₉	C₂²×C₄	1	12	yes	—
108	C₄²×C₁₉	C₂²×C₄	1	12	yes	—
109	#34196	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
110	C₂³×C₁₉	—	2	2	no	—
111	C₂³×C₁₉	—	2	2	no	—
112	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
113	C₂³×C₁₉	H(5,𝔽₂)	1	2	yes	—
114	C₂³×C₁₉	2₋¹⁺⁴	1	2	yes	—
115	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
116	Q₈×C₁₉	—	2	24	no	—
117	Q₈×C₁₉	#117	1	16	yes	complemented
118	C₂×C₄×C₁₉	—	2	24	no	—
119	C₂×C₄×C₁₉	—	2	6	no	—
120	C₂×C₄×C₁₉	—	2	3	no	—
121	C₂×C₄×C₁₉	—	2	3	no	—
122	C₂×C₄×C₁₉	—	2	2	no	—
123	C₂×C₄×C₁₉	—	2	3	no	—
124	C₂×C₄×C₁₉	—	2	3	no	—
125	C₂×C₄×C₁₉	—	2	24	no	—
126	C₂×C₄×C₁₉	—	2	8	no	—
127	C₂×C₄×C₁₉	—	2	4	no	—
128	C₂×C₄×C₁₉	—	2	12	no	—
129	C₂×C₄×C₁₉	—	2	12	no	—
130	C₂×C₄×C₁₉	—	2	4	no	—
131	C₂×C₄×C₁₉	—	2	12	no	—
132	C₂×C₄×C₁₉	—	2	4	no	—
133	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
134	C₂×C₄×C₁₉	C₂³×C₄	1	6	yes	—
135	C₂×C₄×C₁₉	C₂³×C₄	1	6	yes	—
136	C₂×C₄×C₁₉	C₂³×C₄	1	6	yes	—
137	C₂×C₄×C₁₉	C₂³×C₄	1	6	yes	—
138	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
139	C₂×C₄×C₁₉	C₂×#41	1	12	yes	—
140	C₂×C₄×C₁₉	2₋¹⁺⁴	1	4	yes	—
141	C₂²×C₄×Q₈	C₂×C₁₉	1	1	yes	characteristic
142	#2355	C₂×C₁₉	1	6	yes	complemented
143	Q₈×C₄⋊C₄	C₂×C₁₉	1	2	yes	complemented
144	#2344	C₂×C₁₉	1	6	yes	—
145	Q₈×C₂²⋊C₄	C₂×C₁₉	1	2	yes	—
146	#2320	C₂×C₁₉	1	6	yes	complemented
147	#2285	C₂×C₁₉	1	3	yes	—
148	#2283	C₂×C₁₉	1	3	yes	—
149	#2276	C₂×C₁₉	1	2	yes	complemented
150	C₂²×C₁₉	—	2	2	no	—
151	C₂²×C₁₉	—	2	2	no	—
152	C₂²×C₁₉	—	2	4	no	—
153	C₂²×C₁₉	—	2	4	no	—
154	C₂²×C₁₉	#520	1	4	yes	—
155	C₂²×C₁₉	C₂⁴×C₄	1	1	yes	characteristic
156	C₂²×C₁₉	C₂²×#41	1	2	yes	—
157	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
158	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	2	yes	—
159	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
160	C₄×C₁₉	—	2	6	no	—
161	C₄×C₁₉	—	2	2	no	—
162	C₄×C₁₉	—	2	6	no	—
163	C₄×C₁₉	—	2	6	no	—
164	C₄×C₁₉	—	4	12	no	—
165	C₄×C₁₉	—	4	4	no	—
166	C₄×C₁₉	C₂×#117	1	12	yes	—
167	C₄×C₁₉	#519	1	4	yes	—
168	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic
169	C₂×C₄×Q₈	C₄×C₁₉	1	16	yes	complemented
170	C₂×C₄×Q₈	C₂²×C₁₉	1	4	yes	—
171	C₂×C₄×Q₈	C₂²×C₁₉	1	3	yes	—
172	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
173	C₂×C₄×Q₈	C₂²×C₁₉	1	3	yes	—
174	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
175	C₂×#117	C₂²×C₁₉	1	6	yes	—
176	C₂²×C₄⋊C₄	C₂²×C₁₉	1	3	yes	—
177	C₂²×C₄²	C₂²×C₁₉	1	3	yes	—
178	#391	C₂²×C₁₉	1	12	yes	—
179	#389	C₂²×C₁₉	1	12	yes	—
180	#387	C₂²×C₁₉	1	24	yes	—
181	#384	C₂²×C₁₉	1	6	yes	—
182	#383	C₂²×C₁₉	1	6	yes	—
183	#382	C₂²×C₁₉	1	6	yes	—
184	#382	C₂²×C₁₉	1	6	yes	—
185	#381	C₂²×C₁₉	1	6	yes	—
186	#380	C₂²×C₁₉	1	6	yes	—
187	#380	C₂²×C₁₉	1	1	yes	characteristic
188	#380	C₂²×C₁₉	1	3	yes	—
189	C₄×C₄⋊C₄	C₂²×C₁₉	1	6	yes	—
190	C₄×C₄⋊C₄	C₂²×C₁₉	1	12	yes	—
191	C₄×C₄⋊C₄	C₂²×C₁₉	1	6	yes	—
192	C₄×C₄⋊C₄	C₂²×C₁₉	1	6	yes	—
193	C₄×C₂²⋊C₄	C₂²×C₁₉	1	6	yes	—
194	#376	C₂²×C₁₉	1	6	yes	—
195	C₂×C₁₉	—	2	4	no	—
196	C₂×C₁₉	C₂²×#117	1	1	yes	characteristic
197	C₂×C₁₉	C₂×#519	1	1	yes	characteristic
198	C₂×C₁₉	C₂×#520	1	1	yes	characteristic
199	C₂×C₁₉	#3522	1	2	yes	—
200	C₂×C₁₉	#3523	1	2	yes	—
201	C₂²×Q₈	—	2	8	no	—
202	C₂²×Q₈	C₂×C₄×C₁₉	1	8	yes	—
203	C₂²×Q₈	C₂³×C₁₉	1	3	yes	—
204	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
205	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
206	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
207	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
208	C₄×Q₈	—	2	16	no	—
209	C₄×Q₈	C₂×C₄×C₁₉	1	24	yes	—
210	C₄×Q₈	C₂×C₄×C₁₉	1	24	yes	—
211	C₄×Q₈	C₂×C₄×C₁₉	1	8	yes	—
212	C₄×Q₈	C₂×C₄×C₁₉	1	8	yes	—
213	#117	—	4	12	no	—
214	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	24	yes	—
215	C₂×C₄⋊C₄	C₂³×C₁₉	1	12	yes	—
216	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
217	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
218	C₂×C₄⋊C₄	C₂³×C₁₉	1	12	yes	—
219	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
220	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
221	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
222	C₂×C₂²⋊C₄	C₂³×C₁₉	1	6	yes	—
223	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
224	C₂×C₄²	C₂×C₄×C₁₉	1	24	yes	—
225	C₂×C₄²	C₂³×C₁₉	1	12	yes	—
226	C₂×C₄²	C₂³×C₁₉	1	12	yes	—
227	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
228	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
229	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
230	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
231	#95	C₂³×C₁₉	1	2	yes	—
232	#95	C₂³×C₁₉	1	6	yes	—
233	#95	C₂³×C₁₉	1	12	yes	—
234	#95	C₂³×C₁₉	1	12	yes	—
235	#95	C₂³×C₁₉	1	12	yes	—
236	#95	C₂³×C₁₉	1	12	yes	—
237	C₁₉	#34196	1	1	yes	characteristic, direct product factor, Sylow
238	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
239	C₂×Q₈	—	2	32	no	—
240	C₂×Q₈	—	2	12	no	—
241	C₂×Q₈	C₂²×C₄×C₁₉	1	12	yes	—
242	C₂×Q₈	C₂²×C₄×C₁₉	1	4	yes	—
243	C₂×Q₈	#41×C₁₉	1	8	yes	—
244	C₂²×C₄	—	2	6	no	—
245	C₂²×C₄	—	2	6	no	—
246	C₂²×C₄	—	2	12	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
249	C₂²×C₄	C₂²×C₄×C₁₉	1	12	yes	—
250	C₂²×C₄	C₂²×C₄×C₁₉	1	12	yes	—
251	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
252	C₂²×C₄	C₂⁴×C₁₉	1	12	yes	—
253	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
254	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
255	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
256	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
257	C₂²×C₄	C₂⁴×C₁₉	1	3	yes	—
258	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
259	C₄⋊C₄	—	2	24	no	—
260	C₄⋊C₄	—	2	4	no	—
261	C₄⋊C₄	—	2	12	no	—
262	C₄⋊C₄	—	4	12	no	—
263	C₄⋊C₄	C₂²×C₄×C₁₉	1	24	yes	—
264	C₄⋊C₄	C₂²×C₄×C₁₉	1	12	yes	—
265	C₄⋊C₄	C₂²×C₄×C₁₉	1	12	yes	—
266	C₂²⋊C₄	—	2	12	no	—
267	C₂²⋊C₄	—	2	4	no	—
268	C₄²	—	2	24	no	—
269	C₄²	—	4	12	no	—
270	C₄²	C₂²×C₄×C₁₉	1	12	yes	—
271	C₄²	C₂²×C₄×C₁₉	1	12	yes	—
272	C₄²	C₂²×C₄×C₁₉	1	12	yes	—
273	C₄²	C₂²×C₄×C₁₉	1	12	yes	—
274	C₂³	—	2	2	no	—
275	C₂³	—	2	2	no	—
276	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
277	C₂³	C₁₉×H(5,𝔽₂)	1	2	yes	—
278	C₂³	C₁₉×2₋¹⁺⁴	1	2	yes	—
279	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
280	Q₈	—	2	24	no	—
281	Q₈	C₁₉×#117	1	16	yes	complemented
282	C₂×C₄	—	2	24	no	—
283	C₂×C₄	—	2	6	no	—
284	C₂×C₄	—	2	3	no	—
285	C₂×C₄	—	2	3	no	—
286	C₂×C₄	—	2	2	no	—
287	C₂×C₄	—	2	3	no	—
288	C₂×C₄	—	2	3	no	—
289	C₂×C₄	—	2	24	no	—
290	C₂×C₄	—	2	8	no	—
291	C₂×C₄	—	2	4	no	—
292	C₂×C₄	—	2	12	no	—
293	C₂×C₄	—	2	12	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	12	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
298	C₂×C₄	C₂³×C₄×C₁₉	1	6	yes	—
299	C₂×C₄	C₂³×C₄×C₁₉	1	6	yes	—
300	C₂×C₄	C₂³×C₄×C₁₉	1	6	yes	—
301	C₂×C₄	C₂³×C₄×C₁₉	1	6	yes	—
302	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
303	C₂×C₄	C₂×#41×C₁₉	1	12	yes	—
304	C₂×C₄	C₁₉×2₋¹⁺⁴	1	4	yes	—
305	C₂²	—	2	2	no	—
306	C₂²	—	2	4	no	—
307	C₂²	—	2	4	no	—
308	C₂²	—	2	2	no	—
309	C₂²	C₁₉×#520	1	4	yes	—
310	C₂²	C₂⁴×C₄×C₁₉	1	1	yes	characteristic
311	C₂²	C₂²×#41×C₁₉	1	2	yes	—
312	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
313	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	2	yes	—
314	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
315	C₄	—	2	2	no	—
316	C₄	—	2	6	no	—
317	C₄	—	2	6	no	—
318	C₄	—	2	6	no	—
319	C₄	—	4	12	no	—
320	C₄	—	4	4	no	—
321	C₄	C₂×C₁₉×#117	1	12	yes	—
322	C₄	C₁₉×#519	1	4	yes	—
323	C₂	—	2	4	no	—
324	C₂	C₂²×C₁₉×#117	1	1	yes	characteristic
325	C₂	C₂×C₁₉×#519	1	1	yes	characteristic
326	C₂	C₂×C₁₉×#520	1	1	yes	characteristic
327	C₂	C₁₉×#3522	1	2	yes	—
328	C₂	C₁₉×#3523	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2355	C₂	semidirect
3. Q₈×C₄⋊C₄×C₁₉	C₂	semidirect
6. C₁₉×#2320	C₂	semidirect
9. C₁₉×#2276	C₂	semidirect
11. C₂×C₄×Q₈×C₁₉	C₄	semidirect
109. #34196	C₁₉	direct (N × H)
117. Q₈×C₁₉	#117	semidirect
142. #2355	C₂×C₁₉	semidirect
143. Q₈×C₄⋊C₄	C₂×C₁₉	semidirect
146. #2320	C₂×C₁₉	semidirect
149. #2276	C₂×C₁₉	semidirect
169. C₂×C₄×Q₈	C₄×C₁₉	semidirect
237. C₁₉	#34196	direct (N × H)
281. Q₈	C₁₉×#117	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₄×Q₈×C₁₉	2
C₁₉×#2355	2
Q₈×C₄⋊C₄×C₁₉	2
C₁₉×#2344	2
Q₈×C₂²⋊C₄×C₁₉	2
C₁₉×#2320	2
C₁₉×#2285	2
C₁₉×#2283	2
C₁₉×#2276	2
#34196	19

Subgroups — C19×#34196 #18040155

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#34196 #18040155