Subgroups — C₂×C₁₉×C₄⋊#95 #18019713

Order 4864.

3854 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₄⋊C₄×C₁₉	C₂	1	2	yes	maximal
2	C₂³×C₄²×C₁₉	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₁₉×#95	C₂	1	4	yes	maximal
4	C₁₉×C₄⋊#95	C₂	1	8	yes	maximal, direct product factor
5	C₂⁴×C₄×C₁₉	C₂²	1	4	yes	—
6	C₂⁴×C₄×C₁₉	C₂²	1	2	yes	—
7	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
8	C₂²×C₄⋊C₄×C₁₉	—	2	8	no	—
9	C₂²×C₄⋊C₄×C₁₉	—	2	8	no	—
10	C₂²×C₄⋊C₄×C₁₉	C₄	1	16	yes	complemented
11	C₂²×C₄⋊C₄×C₁₉	C₂²	1	8	yes	—
12	C₂²×C₄²×C₁₉	—	2	8	no	—
13	C₂²×C₄²×C₁₉	C₄	1	8	yes	complemented
14	C₂²×C₄²×C₁₉	C₂²	1	4	yes	—
15	C₂×C₁₉×#95	—	2	16	no	—
16	C₂×C₁₉×#95	C₂²	1	16	yes	—
17	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
18	C₂³×C₄×C₁₉	—	2	8	no	—
19	C₂³×C₄×C₁₉	—	2	8	no	—
20	C₂³×C₄×C₁₉	—	2	16	no	—
21	C₂³×C₄×C₁₉	—	2	8	no	—
22	C₂³×C₄×C₁₉	—	2	8	no	—
23	C₂³×C₄×C₁₉	—	2	16	no	—
24	C₂³×C₄×C₁₉	C₂×C₄	1	16	yes	—
25	C₂³×C₄×C₁₉	C₂×C₄	1	8	yes	—
26	C₂³×C₄×C₁₉	C₂×C₄	1	4	yes	—
27	C₂³×C₄×C₁₉	C₂×C₄	1	8	yes	—
28	C₂³×C₄×C₁₉	D₄	1	8	yes	—
29	C₂³×C₄×C₁₉	D₄	1	8	yes	—
30	C₂³×C₄×C₁₉	D₄	1	4	yes	—
31	C₂³×C₄×C₁₉	Q₈	1	8	yes	—
32	C₂³×C₄×C₁₉	Q₈	1	4	yes	—
33	C₂³×C₄×C₁₉	C₂³	1	8	yes	—
34	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
35	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
36	C₂×C₄⋊C₄×C₁₉	—	2	64	no	—
37	C₂×C₄⋊C₄×C₁₉	—	2	16	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	16	no	—
39	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	32	yes	complemented
40	C₂×C₄²×C₁₉	—	2	32	no	—
41	C₂×C₄²×C₁₉	—	2	16	no	—
42	C₂×C₄²×C₁₉	C₂×C₄	1	16	yes	complemented
43	C₁₉×#95	—	2	32	no	—
44	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
45	C₂⁴×C₁₉	C₂²×C₄	1	4	yes	—
46	C₂⁴×C₁₉	C₂×D₄	1	4	yes	—
47	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
48	C₂⁴×C₁₉	C₂×D₄	1	4	yes	—
49	C₂⁴×C₁₉	C₂×Q₈	1	2	yes	—
50	C₂⁴×C₁₉	C₂×Q₈	1	4	yes	—
51	C₂⁴×C₁₉	#41	1	8	yes	—
52	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
53	C₂²×C₄×C₁₉	—	2	16	no	—
54	C₂²×C₄×C₁₉	—	2	16	no	—
55	C₂²×C₄×C₁₉	—	2	32	no	—
56	C₂²×C₄×C₁₉	—	2	32	no	—
57	C₂²×C₄×C₁₉	—	2	8	no	—
58	C₂²×C₄×C₁₉	—	2	8	no	—
59	C₂²×C₄×C₁₉	—	2	32	no	—
60	C₂²×C₄×C₁₉	—	2	64	no	—
61	C₂²×C₄×C₁₉	—	2	8	no	—
62	C₂²×C₄×C₁₉	—	2	8	no	—
63	C₂²×C₄×C₁₉	—	2	16	no	—
64	C₂²×C₄×C₁₉	—	2	16	no	—
65	C₂²×C₄×C₁₉	—	4	32	no	—
66	C₂²×C₄×C₁₉	—	4	16	no	—
67	C₂²×C₄×C₁₉	—	4	16	no	—
68	C₂²×C₄×C₁₉	C₄²	1	16	yes	—
69	C₂²×C₄×C₁₉	C₂²⋊C₄	1	16	yes	—
70	C₂²×C₄×C₁₉	C₂²⋊C₄	1	32	yes	—
71	C₂²×C₄×C₁₉	C₄⋊C₄	1	16	yes	—
72	C₂²×C₄×C₁₉	C₄⋊C₄	1	32	yes	—
73	C₂²×C₄×C₁₉	C₄⋊C₄	1	32	yes	complemented
74	C₂²×C₄×C₁₉	C₂²×C₄	1	16	yes	—
75	C₂²×C₄×C₁₉	C₂²×C₄	1	8	yes	—
76	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
77	C₂²×C₄×C₁₉	C₂²×C₄	1	8	yes	—
78	C₂²×C₄×C₁₉	C₂×D₄	1	8	yes	—
79	C₂²×C₄×C₁₉	C₂×D₄	1	8	yes	—
80	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
81	C₂²×C₄×C₁₉	C₂×Q₈	1	8	yes	—
82	C₂²×C₄×C₁₉	C₂×Q₈	1	4	yes	—
83	C₄⋊C₄×C₁₉	—	2	64	no	—
84	C₄²×C₁₉	—	2	32	no	—
85	C₂×C₄⋊#95	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
86	C₂³×C₁₉	C₂×C₄²	1	4	yes	—
87	C₂³×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
88	C₂³×C₁₉	C₂×C₂²⋊C₄	1	8	yes	—
89	C₂³×C₁₉	C₂×C₄⋊C₄	1	4	yes	—
90	C₂³×C₁₉	C₂×C₄⋊C₄	1	8	yes	—
91	C₂³×C₁₉	C₂×C₄⋊C₄	1	8	yes	—
92	C₂³×C₁₉	#117	1	8	yes	—
93	C₂³×C₁₉	C₄×D₄	1	16	yes	—
94	C₂³×C₁₉	C₄×Q₈	1	16	yes	—
95	C₂³×C₁₉	#121	1	16	yes	—
96	C₂³×C₁₉	C₂²⋊Q₈	1	16	yes	—
97	C₂³×C₁₉	#124	1	8	yes	—
98	C₂³×C₁₉	#125	1	8	yes	—
99	C₂³×C₁₉	#127	1	4	yes	—
100	C₂³×C₁₉	C₄⋊Q₈	1	8	yes	—
101	C₂³×C₁₉	C₄⋊Q₈	1	4	yes	—
102	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
103	C₂³×C₁₉	C₂³×C₄	1	2	yes	—
104	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
105	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
106	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
107	C₂³×C₁₉	C₂²×Q₈	1	1	yes	characteristic
108	C₂³×C₁₉	C₂²×Q₈	1	2	yes	—
109	C₂³×C₁₉	C₂×#41	1	4	yes	—
110	C₂×C₄×C₁₉	—	2	8	no	—
111	C₂×C₄×C₁₉	—	2	8	no	—
112	C₂×C₄×C₁₉	—	2	16	no	—
113	C₂×C₄×C₁₉	—	2	16	no	—
114	C₂×C₄×C₁₉	—	2	64	no	—
115	C₂×C₄×C₁₉	—	2	16	no	—
116	C₂×C₄×C₁₉	—	2	32	no	—
117	C₂×C₄×C₁₉	—	4	16	no	—
118	C₂×C₄×C₁₉	—	4	8	no	—
119	C₂×C₄×C₁₉	—	4	8	no	—
120	C₂×C₄×C₁₉	—	4	64	no	—
121	C₂×C₄×C₁₉	#95	1	64	yes	complemented
122	C₂×C₄×C₁₉	C₂×C₄²	1	8	yes	—
123	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	8	yes	—
124	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	16	yes	—
125	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	8	yes	—
126	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	16	yes	—
127	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	16	yes	complemented
128	C₂³×C₄⋊C₄	C₂×C₁₉	1	2	yes	—
129	C₂³×C₄²	C₂×C₁₉	1	1	yes	characteristic
130	C₂²×#95	C₂×C₁₉	1	4	yes	—
131	C₄⋊#95	C₂×C₁₉	1	8	yes	direct product factor
132	C₂²×C₁₉	C₂×#95	1	8	yes	—
133	C₂²×C₁₉	C₄×C₄⋊C₄	1	16	yes	—
134	C₂²×C₁₉	#380	1	16	yes	—
135	C₂²×C₁₉	#382	1	8	yes	—
136	C₂²×C₁₉	#384	1	8	yes	—
137	C₂²×C₁₉	#389	1	32	yes	—
138	C₂²×C₁₉	#390	1	16	yes	—
139	C₂²×C₁₉	#391	1	16	yes	—
140	C₂²×C₁₉	C₂²×C₄²	1	1	yes	characteristic
141	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
142	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	2	yes	—
143	C₂²×C₁₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
144	C₂²×C₁₉	C₂²×C₄⋊C₄	1	2	yes	—
145	C₂²×C₁₉	C₂²×C₄⋊C₄	1	2	yes	—
146	C₂²×C₁₉	C₂×#117	1	2	yes	—
147	C₂²×C₁₉	C₂×C₄×D₄	1	4	yes	—
148	C₂²×C₁₉	C₂×C₄×Q₈	1	4	yes	—
149	C₂²×C₁₉	C₂×#121	1	4	yes	—
150	C₂²×C₁₉	C₂×C₂²⋊Q₈	1	4	yes	—
151	C₂²×C₁₉	C₂×#124	1	2	yes	—
152	C₂²×C₁₉	C₂×#125	1	2	yes	—
153	C₂²×C₁₉	C₂×#127	1	1	yes	characteristic
154	C₂²×C₁₉	C₂×C₄⋊Q₈	1	2	yes	—
155	C₂²×C₁₉	C₂×C₄⋊Q₈	1	1	yes	characteristic
156	C₄×C₁₉	—	2	16	no	—
157	C₄×C₁₉	—	4	16	no	—
158	C₄×C₁₉	C₂×#95	1	16	yes	complemented
159	C₂⁴×C₄	C₂²×C₁₉	1	4	yes	—
160	C₂⁴×C₄	C₂²×C₁₉	1	2	yes	—
161	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
162	C₂²×C₄⋊C₄	—	2	8	no	—
163	C₂²×C₄⋊C₄	—	2	8	no	—
164	C₂²×C₄⋊C₄	C₄×C₁₉	1	16	yes	complemented
165	C₂²×C₄⋊C₄	C₂²×C₁₉	1	8	yes	—
166	C₂²×C₄²	—	2	8	no	—
167	C₂²×C₄²	C₄×C₁₉	1	8	yes	complemented
168	C₂²×C₄²	C₂²×C₁₉	1	4	yes	—
169	C₂×#95	—	2	16	no	—
170	C₂×#95	C₂²×C₁₉	1	16	yes	—
171	C₂×C₁₉	C₄⋊#95	1	16	yes	direct product factor
172	C₂×C₁₉	C₂²×#95	1	1	yes	characteristic
173	C₂×C₁₉	C₂×C₄×C₄⋊C₄	1	2	yes	—
174	C₂×C₁₉	C₂×#380	1	2	yes	—
175	C₂×C₁₉	C₂×#382	1	1	yes	characteristic
176	C₂×C₁₉	C₂×#384	1	1	yes	characteristic
177	C₂×C₁₉	C₂×#389	1	4	yes	—
178	C₂×C₁₉	C₂×#390	1	2	yes	—
179	C₂×C₁₉	C₂×#391	1	2	yes	—
180	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
181	C₂³×C₄	—	2	8	no	—
182	C₂³×C₄	—	2	8	no	—
183	C₂³×C₄	—	2	8	no	—
184	C₂³×C₄	—	2	8	no	—
185	C₂³×C₄	—	2	16	no	—
186	C₂³×C₄	—	2	16	no	—
187	C₂³×C₄	C₂×C₄×C₁₉	1	16	yes	—
188	C₂³×C₄	C₂×C₄×C₁₉	1	8	yes	—
189	C₂³×C₄	C₂×C₄×C₁₉	1	8	yes	—
190	C₂³×C₄	C₂×C₄×C₁₉	1	4	yes	—
191	C₂³×C₄	D₄×C₁₉	1	8	yes	—
192	C₂³×C₄	D₄×C₁₉	1	4	yes	—
193	C₂³×C₄	D₄×C₁₉	1	8	yes	—
194	C₂³×C₄	Q₈×C₁₉	1	8	yes	—
195	C₂³×C₄	Q₈×C₁₉	1	4	yes	—
196	C₂³×C₄	C₂³×C₁₉	1	8	yes	—
197	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
198	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
199	C₂×C₄⋊C₄	—	2	64	no	—
200	C₂×C₄⋊C₄	—	2	16	no	—
201	C₂×C₄⋊C₄	—	2	16	no	—
202	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	32	yes	complemented
203	C₂×C₄²	—	2	32	no	—
204	C₂×C₄²	—	2	16	no	—
205	C₂×C₄²	C₂×C₄×C₁₉	1	16	yes	complemented
206	#95	—	2	32	no	—
207	C₁₉	C₂×C₄⋊#95	1	1	yes	characteristic, direct product factor, Sylow
208	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
209	C₂⁴	C₂²×C₄×C₁₉	1	4	yes	—
210	C₂⁴	C₂×D₄×C₁₉	1	4	yes	—
211	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
212	C₂⁴	C₂×D₄×C₁₉	1	4	yes	—
213	C₂⁴	C₂×Q₈×C₁₉	1	2	yes	—
214	C₂⁴	C₂×Q₈×C₁₉	1	4	yes	—
215	C₂⁴	#41×C₁₉	1	8	yes	—
216	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
217	C₂²×C₄	—	2	16	no	—
218	C₂²×C₄	—	2	16	no	—
219	C₂²×C₄	—	2	32	no	—
220	C₂²×C₄	—	2	32	no	—
221	C₂²×C₄	—	2	8	no	—
222	C₂²×C₄	—	2	8	no	—
223	C₂²×C₄	—	2	32	no	—
224	C₂²×C₄	—	2	64	no	—
225	C₂²×C₄	—	2	16	no	—
226	C₂²×C₄	—	2	8	no	—
227	C₂²×C₄	—	2	8	no	—
228	C₂²×C₄	—	2	16	no	—
229	C₂²×C₄	—	4	32	no	—
230	C₂²×C₄	—	4	16	no	—
231	C₂²×C₄	—	4	16	no	—
232	C₂²×C₄	C₄²×C₁₉	1	16	yes	—
233	C₂²×C₄	C₂²⋊C₄×C₁₉	1	16	yes	—
234	C₂²×C₄	C₂²⋊C₄×C₁₉	1	32	yes	—
235	C₂²×C₄	C₄⋊C₄×C₁₉	1	16	yes	—
236	C₂²×C₄	C₄⋊C₄×C₁₉	1	32	yes	—
237	C₂²×C₄	C₄⋊C₄×C₁₉	1	32	yes	complemented
238	C₂²×C₄	C₂²×C₄×C₁₉	1	16	yes	—
239	C₂²×C₄	C₂²×C₄×C₁₉	1	8	yes	—
240	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
241	C₂²×C₄	C₂²×C₄×C₁₉	1	8	yes	—
242	C₂²×C₄	C₂×D₄×C₁₉	1	8	yes	—
243	C₂²×C₄	C₂×D₄×C₁₉	1	8	yes	—
244	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
245	C₂²×C₄	C₂×Q₈×C₁₉	1	8	yes	—
246	C₂²×C₄	C₂×Q₈×C₁₉	1	4	yes	—
247	C₄⋊C₄	—	2	64	no	—
248	C₄²	—	2	32	no	—
249	C₂³	C₂×C₄²×C₁₉	1	4	yes	—
250	C₂³	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
251	C₂³	C₂×C₂²⋊C₄×C₁₉	1	8	yes	—
252	C₂³	C₂×C₄⋊C₄×C₁₉	1	4	yes	—
253	C₂³	C₂×C₄⋊C₄×C₁₉	1	8	yes	—
254	C₂³	C₂×C₄⋊C₄×C₁₉	1	8	yes	—
255	C₂³	C₁₉×#117	1	8	yes	—
256	C₂³	C₄×D₄×C₁₉	1	16	yes	—
257	C₂³	C₄×Q₈×C₁₉	1	16	yes	—
258	C₂³	C₁₉×#121	1	16	yes	—
259	C₂³	C₁₉×C₂²⋊Q₈	1	16	yes	—
260	C₂³	C₁₉×#124	1	8	yes	—
261	C₂³	C₁₉×#125	1	8	yes	—
262	C₂³	C₁₉×#127	1	4	yes	—
263	C₂³	C₁₉×C₄⋊Q₈	1	8	yes	—
264	C₂³	C₁₉×C₄⋊Q₈	1	4	yes	—
265	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
266	C₂³	C₂³×C₄×C₁₉	1	2	yes	—
267	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
268	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
269	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
270	C₂³	C₂²×Q₈×C₁₉	1	1	yes	characteristic
271	C₂³	C₂²×Q₈×C₁₉	1	2	yes	—
272	C₂³	C₂×#41×C₁₉	1	4	yes	—
273	C₂×C₄	—	2	64	no	—
274	C₂×C₄	—	2	8	no	—
275	C₂×C₄	—	2	8	no	—
276	C₂×C₄	—	2	16	no	—
277	C₂×C₄	—	2	16	no	—
278	C₂×C₄	—	2	16	no	—
279	C₂×C₄	—	2	32	no	—
280	C₂×C₄	—	4	64	no	—
281	C₂×C₄	—	4	16	no	—
282	C₂×C₄	—	4	8	no	—
283	C₂×C₄	—	4	8	no	—
284	C₂×C₄	C₁₉×#95	1	64	yes	complemented
285	C₂×C₄	C₂×C₄²×C₁₉	1	8	yes	—
286	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	8	yes	—
287	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	16	yes	—
288	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	8	yes	—
289	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	16	yes	—
290	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	16	yes	complemented
291	C₂²	C₂×C₁₉×#95	1	8	yes	—
292	C₂²	C₄×C₄⋊C₄×C₁₉	1	16	yes	—
293	C₂²	C₁₉×#380	1	16	yes	—
294	C₂²	C₁₉×#382	1	8	yes	—
295	C₂²	C₁₉×#384	1	8	yes	—
296	C₂²	C₁₉×#389	1	32	yes	—
297	C₂²	C₁₉×#390	1	16	yes	—
298	C₂²	C₁₉×#391	1	16	yes	—
299	C₂²	C₂²×C₄²×C₁₉	1	1	yes	characteristic
300	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
301	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	2	yes	—
302	C₂²	C₂²×C₄⋊C₄×C₁₉	1	1	yes	characteristic
303	C₂²	C₂²×C₄⋊C₄×C₁₉	1	2	yes	—
304	C₂²	C₂²×C₄⋊C₄×C₁₉	1	2	yes	—
305	C₂²	C₂×C₁₉×#117	1	2	yes	—
306	C₂²	C₂×C₄×D₄×C₁₉	1	4	yes	—
307	C₂²	C₂×C₄×Q₈×C₁₉	1	4	yes	—
308	C₂²	C₂×C₁₉×#121	1	4	yes	—
309	C₂²	C₂×C₁₉×C₂²⋊Q₈	1	4	yes	—
310	C₂²	C₂×C₁₉×#124	1	2	yes	—
311	C₂²	C₂×C₁₉×#125	1	2	yes	—
312	C₂²	C₂×C₁₉×#127	1	1	yes	characteristic
313	C₂²	C₂×C₁₉×C₄⋊Q₈	1	2	yes	—
314	C₂²	C₂×C₁₉×C₄⋊Q₈	1	1	yes	characteristic
315	C₄	—	2	16	no	—
316	C₄	—	4	16	no	—
317	C₄	C₂×C₁₉×#95	1	16	yes	complemented
318	C₂	C₁₉×C₄⋊#95	1	16	yes	direct product factor
319	C₂	C₂²×C₁₉×#95	1	1	yes	characteristic
320	C₂	C₂×C₄×C₄⋊C₄×C₁₉	1	2	yes	—
321	C₂	C₂×C₁₉×#380	1	2	yes	—
322	C₂	C₂×C₁₉×#382	1	1	yes	characteristic
323	C₂	C₂×C₁₉×#384	1	1	yes	characteristic
324	C₂	C₂×C₁₉×#389	1	4	yes	—
325	C₂	C₂×C₁₉×#390	1	2	yes	—
326	C₂	C₂×C₁₉×#391	1	2	yes	—

	subgroup	G/H
center, socle, prime radical	C₂⁵×C₁₉	C₂³
commutator	C₂²	C₂²×C₄²×C₁₉
Frattini, cosocle	C₂⁴	C₂⁴×C₁₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁵×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₉×C₄⋊#95	C₂	direct (N × H)
10. C₂²×C₄⋊C₄×C₁₉	C₄	semidirect
13. C₂²×C₄²×C₁₉	C₄	semidirect
39. C₂×C₄⋊C₄×C₁₉	C₂×C₄	semidirect
42. C₂×C₄²×C₁₉	C₂×C₄	semidirect
73. C₂²×C₄×C₁₉	C₄⋊C₄	semidirect
85. C₂×C₄⋊#95	C₁₉	direct (N × H)
121. C₂×C₄×C₁₉	#95	semidirect
127. C₂×C₄×C₁₉	C₂×C₄⋊C₄	semidirect
131. C₄⋊#95	C₂×C₁₉	direct (N × H)
158. C₄×C₁₉	C₂×#95	semidirect
164. C₂²×C₄⋊C₄	C₄×C₁₉	semidirect
167. C₂²×C₄²	C₄×C₁₉	semidirect
171. C₂×C₁₉	C₄⋊#95	direct (N × H)
202. C₂×C₄⋊C₄	C₂×C₄×C₁₉	semidirect
205. C₂×C₄²	C₂×C₄×C₁₉	semidirect
207. C₁₉	C₂×C₄⋊#95	direct (N × H)
237. C₂²×C₄	C₄⋊C₄×C₁₉	semidirect
284. C₂×C₄	C₁₉×#95	semidirect
290. C₂×C₄	C₂×C₄⋊C₄×C₁₉	semidirect
317. C₄	C₂×C₁₉×#95	semidirect
318. C₂	C₁₉×C₄⋊#95	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₄⋊C₄×C₁₉	2
C₂³×C₄²×C₁₉	2
C₂²×C₁₉×#95	2
C₁₉×C₄⋊#95	2
C₂×C₄⋊#95	19

Subgroups — C2×C19×C4⋊#95 #18019713

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₉×C₄⋊#95 #18019713