Subgroups — C₂×C₁₉×#1955 #18027145

Order 4864.

2094 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄×D₄×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₉×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₁₉×C₂²⋊C₈	C₂	1	4	yes	maximal, complemented
4	C₂²×C₁₉×#97	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1955	C₂	1	8	yes	maximal, direct product factor
6	C₂³×D₄×C₁₉	C₄	1	1	yes	characteristic
7	C₂⁴×C₄×C₁₉	C₂²	1	2	yes	—
8	C₂³×C₈×C₁₉	C₂²	1	2	yes	—
9	C₂³×C₈×C₁₉	C₂²	1	2	yes	—
10	C₂×C₄×D₄×C₁₉	—	2	4	no	—
11	C₂×C₄×D₄×C₁₉	—	2	4	no	—
12	C₂×C₄×D₄×C₁₉	C₄	1	4	yes	—
13	C₂×C₄×D₄×C₁₉	C₂²	1	4	yes	—
14	C₂²×C₄⋊C₄×C₁₉	C₄	1	1	yes	characteristic
15	C₂²×C₂²⋊C₄×C₁₉	C₄	1	2	yes	—
16	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×C₄⋊C₈	—	2	4	no	—
18	C₂×C₁₉×C₄⋊C₈	C₂²	1	4	yes	complemented
19	C₂×C₁₉×C₂²⋊C₈	—	2	16	no	—
20	C₂×C₁₉×C₂²⋊C₈	C₂²	1	16	yes	complemented
21	C₂×C₁₉×#97	—	2	4	no	—
22	C₂×C₁₉×#97	C₂²	1	4	yes	complemented
23	C₂⁵×C₁₉	C₂×C₄	1	2	yes	—
24	C₂²×D₄×C₁₉	—	2	8	no	—
25	C₂²×D₄×C₁₉	—	2	4	no	—
26	C₂²×D₄×C₁₉	C₂×C₄	1	4	yes	—
27	C₂³×C₄×C₁₉	—	2	8	no	—
28	C₂³×C₄×C₁₉	—	2	4	no	—
29	C₂³×C₄×C₁₉	—	2	4	no	—
30	C₂³×C₄×C₁₉	—	2	8	no	—
31	C₂³×C₄×C₁₉	C₂×C₄	1	2	yes	—
32	C₂³×C₄×C₁₉	C₂×C₄	1	4	yes	—
33	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
34	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
35	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
36	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
37	C₂²×C₈×C₁₉	—	2	4	no	—
38	C₂²×C₈×C₁₉	—	2	4	no	—
39	C₂²×C₈×C₁₉	—	2	8	no	—
40	C₂²×C₈×C₁₉	—	2	4	no	—
41	C₂²×C₈×C₁₉	D₄	1	8	yes	complemented
42	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
43	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
44	C₄×D₄×C₁₉	—	2	16	no	—
45	C₄×D₄×C₁₉	—	2	8	no	—
46	C₄×D₄×C₁₉	—	2	8	no	—
47	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
48	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
49	C₂×C₂²⋊C₄×C₁₉	—	2	8	no	—
50	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	8	yes	—
51	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
52	C₂×C₄²×C₁₉	D₄	1	4	yes	—
53	C₂×C₄²×C₁₉	D₄	1	4	yes	—
54	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
55	C₁₉×C₄⋊C₈	—	2	8	no	—
56	C₁₉×C₂²⋊C₈	—	2	32	no	—
57	C₁₉×#97	—	2	8	no	—
58	C₂⁴×C₁₉	—	2	4	no	—
59	C₂⁴×C₁₉	—	2	8	no	—
60	C₂⁴×C₁₉	—	2	4	no	—
61	C₂⁴×C₁₉	—	2	8	no	—
62	C₂⁴×C₁₉	M₁₆	1	8	yes	—
63	C₂⁴×C₁₉	C₂²×C₄	1	4	yes	—
64	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
65	C₂×D₄×C₁₉	—	2	32	no	—
66	C₂×D₄×C₁₉	—	2	16	no	—
67	C₂×D₄×C₁₉	—	2	8	no	—
68	C₂²×C₄×C₁₉	—	2	4	no	—
69	C₂²×C₄×C₁₉	—	2	4	no	—
70	C₂²×C₄×C₁₉	—	2	4	no	—
71	C₂²×C₄×C₁₉	—	2	8	no	—
72	C₂²×C₄×C₁₉	—	2	8	no	—
73	C₂²×C₄×C₁₉	—	2	16	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	—	4	16	no	—
79	C₂²×C₄×C₁₉	—	4	8	no	—
80	C₂²×C₄×C₁₉	—	4	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	4	yes	—
84	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₁₉	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
89	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
90	C₂²×C₄×C₁₉	#41	1	4	yes	—
91	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
92	C₂×C₈×C₁₉	—	2	16	no	—
93	C₂×C₈×C₁₉	—	2	4	no	—
94	C₂×C₈×C₁₉	—	2	4	no	—
95	C₂×C₈×C₁₉	—	2	8	no	—
96	C₂×C₈×C₁₉	—	2	4	no	—
97	C₂×C₈×C₁₉	—	4	8	no	—
98	C₂×C₈×C₁₉	C₂×D₄	1	8	yes	complemented
99	C₄⋊C₄×C₁₉	—	2	8	no	—
100	C₂²⋊C₄×C₁₉	—	2	16	no	—
101	C₄²×C₁₉	C₂²⋊C₄	1	8	yes	—
102	C₄²×C₁₉	C₂×D₄	1	4	yes	—
103	C₄²×C₁₉	C₂×D₄	1	4	yes	—
104	C₂×#1955	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
105	C₂³×C₁₉	—	2	4	no	—
106	C₂³×C₁₉	—	2	8	no	—
107	C₂³×C₁₉	—	2	4	no	—
108	C₂³×C₁₉	—	2	8	no	—
109	C₂³×C₁₉	—	2	16	no	—
110	C₂³×C₁₉	—	2	32	no	—
111	C₂³×C₁₉	—	4	8	no	—
112	C₂³×C₁₉	—	4	8	no	—
113	C₂³×C₁₉	—	4	16	no	—
114	C₂³×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
115	C₂³×C₁₉	C₄×D₄	1	4	yes	—
116	C₂³×C₁₉	C₂×M₁₆	1	8	yes	—
117	C₂³×C₁₉	C₂×M₁₆	1	4	yes	—
118	C₂³×C₁₉	#131	1	4	yes	—
119	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
120	D₄×C₁₉	—	2	32	no	—
121	C₂×C₄×C₁₉	—	2	4	no	—
122	C₂×C₄×C₁₉	—	2	4	no	—
123	C₂×C₄×C₁₉	—	2	8	no	—
124	C₂×C₄×C₁₉	—	2	8	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	8	no	—
129	C₂×C₄×C₁₉	—	4	4	no	—
130	C₂×C₄×C₁₉	—	4	4	no	—
131	C₂×C₄×C₁₉	—	4	16	no	—
132	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
133	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
134	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
135	C₂×C₄×C₁₉	C₄×D₄	1	4	yes	—
136	C₂×C₄×C₁₉	#121	1	8	yes	—
137	C₂×C₄×C₁₉	#124	1	4	yes	—
138	C₂×C₄×C₁₉	#127	1	4	yes	—
139	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
141	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
142	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
143	C₈×C₁₉	—	2	8	no	—
144	C₈×C₁₉	—	4	4	no	—
145	C₂²×C₄×D₄	C₂×C₁₉	1	1	yes	characteristic
146	C₂²×C₄⋊C₈	C₂×C₁₉	1	1	yes	characteristic, complemented
147	C₂²×C₂²⋊C₈	C₂×C₁₉	1	4	yes	complemented
148	C₂²×#97	C₂×C₁₉	1	1	yes	characteristic, complemented
149	#1955	C₂×C₁₉	1	8	yes	direct product factor
150	C₂²×C₁₉	—	2	8	no	—
151	C₂²×C₁₉	—	2	16	no	—
152	C₂²×C₁₉	—	4	4	no	—
153	C₂²×C₁₉	—	4	8	no	—
154	C₂²×C₁₉	—	4	32	no	—
155	C₂²×C₁₉	—	4	4	no	—
156	C₂²×C₁₉	#390	1	4	yes	—
157	C₂²×C₁₉	#407	1	4	yes	—
158	C₂²×C₁₉	#408	1	4	yes	—
159	C₂²×C₁₉	#435	1	16	yes	—
160	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
161	C₂²×C₁₉	C₂×C₄×D₄	1	2	yes	—
162	C₂²×C₁₉	C₂²×M₁₆	1	2	yes	—
163	C₂²×C₁₉	C₂×#131	1	2	yes	—
164	C₄×C₁₉	—	2	4	no	—
165	C₄×C₁₉	—	2	4	no	—
166	C₄×C₁₉	—	4	4	no	—
167	C₄×C₁₉	#390	1	4	yes	—
168	C₄×C₁₉	C₂×#121	1	2	yes	—
169	C₄×C₁₉	C₂×#124	1	1	yes	characteristic
170	C₄×C₁₉	C₂×#127	1	1	yes	characteristic
171	C₂³×D₄	C₄×C₁₉	1	1	yes	characteristic
172	C₂⁴×C₄	C₂²×C₁₉	1	2	yes	—
173	C₂³×C₈	C₂²×C₁₉	1	2	yes	—
174	C₂³×C₈	C₂²×C₁₉	1	2	yes	—
175	C₂×C₄×D₄	—	2	4	no	—
176	C₂×C₄×D₄	—	2	4	no	—
177	C₂×C₄×D₄	C₄×C₁₉	1	4	yes	—
178	C₂×C₄×D₄	C₂²×C₁₉	1	4	yes	—
179	C₂²×C₄⋊C₄	C₄×C₁₉	1	1	yes	characteristic
180	C₂²×C₂²⋊C₄	C₄×C₁₉	1	2	yes	—
181	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
182	C₂×C₄⋊C₈	—	2	4	no	—
183	C₂×C₄⋊C₈	C₂²×C₁₉	1	4	yes	complemented
184	C₂×C₂²⋊C₈	—	2	16	no	—
185	C₂×C₂²⋊C₈	C₂²×C₁₉	1	16	yes	complemented
186	C₂×#97	—	2	4	no	—
187	C₂×#97	C₂²×C₁₉	1	4	yes	complemented
188	C₂×C₁₉	—	4	8	no	—
189	C₂×C₁₉	#1955	1	8	yes	direct product factor
190	C₂×C₁₉	C₂×#390	1	1	yes	characteristic
191	C₂×C₁₉	C₂×#407	1	1	yes	characteristic
192	C₂×C₁₉	C₂×#408	1	1	yes	characteristic
193	C₂×C₁₉	C₂×#435	1	4	yes	—
194	C₂⁵	C₂×C₄×C₁₉	1	2	yes	—
195	C₂²×D₄	—	2	8	no	—
196	C₂²×D₄	—	2	4	no	—
197	C₂²×D₄	C₂×C₄×C₁₉	1	4	yes	—
198	C₂³×C₄	—	2	4	no	—
199	C₂³×C₄	—	2	4	no	—
200	C₂³×C₄	—	2	8	no	—
201	C₂³×C₄	—	2	8	no	—
202	C₂³×C₄	C₂×C₄×C₁₉	1	2	yes	—
203	C₂³×C₄	C₂×C₄×C₁₉	1	4	yes	—
204	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
205	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
206	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
207	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
208	C₂²×C₈	—	2	4	no	—
209	C₂²×C₈	—	2	4	no	—
210	C₂²×C₈	—	2	8	no	—
211	C₂²×C₈	—	2	4	no	—
212	C₂²×C₈	D₄×C₁₉	1	8	yes	complemented
213	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
214	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
215	C₄×D₄	—	2	16	no	—
216	C₄×D₄	—	2	8	no	—
217	C₄×D₄	—	2	8	no	—
218	C₂×C₄⋊C₄	—	2	4	no	—
219	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
220	C₂×C₂²⋊C₄	—	2	8	no	—
221	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	8	yes	—
222	C₂×C₄²	C₂×C₄×C₁₉	1	2	yes	—
223	C₂×C₄²	D₄×C₁₉	1	4	yes	—
224	C₂×C₄²	D₄×C₁₉	1	4	yes	—
225	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
226	C₄⋊C₈	—	2	8	no	—
227	C₂²⋊C₈	—	2	32	no	—
228	#97	—	2	8	no	—
229	C₁₉	C₂×#1955	1	1	yes	characteristic, direct product factor, Sylow
230	C₂⁴	—	2	4	no	—
231	C₂⁴	—	2	8	no	—
232	C₂⁴	—	2	4	no	—
233	C₂⁴	—	2	8	no	—
234	C₂⁴	M₁₆×C₁₉	1	8	yes	—
235	C₂⁴	C₂²×C₄×C₁₉	1	4	yes	—
236	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
237	C₂×D₄	—	2	32	no	—
238	C₂×D₄	—	2	16	no	—
239	C₂×D₄	—	2	8	no	—
240	C₂²×C₄	—	2	4	no	—
241	C₂²×C₄	—	2	4	no	—
242	C₂²×C₄	—	2	4	no	—
243	C₂²×C₄	—	2	8	no	—
244	C₂²×C₄	—	2	8	no	—
245	C₂²×C₄	—	2	16	no	—
246	C₂²×C₄	—	2	8	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	4	no	—
249	C₂²×C₄	—	2	8	no	—
250	C₂²×C₄	—	4	16	no	—
251	C₂²×C₄	—	4	8	no	—
252	C₂²×C₄	—	4	8	no	—
253	C₂²×C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
254	C₂²×C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
255	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
256	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
257	C₂²×C₄	C₂²×C₄×C₁₉	1	2	yes	—
258	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
259	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
260	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
261	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
262	C₂²×C₄	#41×C₁₉	1	4	yes	—
263	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
264	C₂×C₈	—	2	16	no	—
265	C₂×C₈	—	2	4	no	—
266	C₂×C₈	—	2	4	no	—
267	C₂×C₈	—	2	8	no	—
268	C₂×C₈	—	2	4	no	—
269	C₂×C₈	—	4	8	no	—
270	C₂×C₈	C₂×D₄×C₁₉	1	8	yes	complemented
271	C₄⋊C₄	—	2	8	no	—
272	C₂²⋊C₄	—	2	16	no	—
273	C₄²	C₂²⋊C₄×C₁₉	1	8	yes	—
274	C₄²	C₂×D₄×C₁₉	1	4	yes	—
275	C₄²	C₂×D₄×C₁₉	1	4	yes	—
276	C₂³	—	2	16	no	—
277	C₂³	—	2	32	no	—
278	C₂³	—	2	4	no	—
279	C₂³	—	2	8	no	—
280	C₂³	—	2	4	no	—
281	C₂³	—	2	8	no	—
282	C₂³	—	4	8	no	—
283	C₂³	—	4	8	no	—
284	C₂³	—	4	16	no	—
285	C₂³	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
286	C₂³	C₄×D₄×C₁₉	1	4	yes	—
287	C₂³	C₂×M₁₆×C₁₉	1	8	yes	—
288	C₂³	C₂×M₁₆×C₁₉	1	4	yes	—
289	C₂³	C₁₉×#131	1	4	yes	—
290	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
291	D₄	—	2	32	no	—
292	C₂×C₄	—	2	8	no	—
293	C₂×C₄	—	2	8	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	—	2	4	no	—
297	C₂×C₄	—	2	8	no	—
298	C₂×C₄	—	4	8	no	—
299	C₂×C₄	—	4	16	no	—
300	C₂×C₄	—	4	8	no	—
301	C₂×C₄	—	4	4	no	—
302	C₂×C₄	—	4	4	no	—
303	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
304	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
305	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
306	C₂×C₄	C₄×D₄×C₁₉	1	4	yes	—
307	C₂×C₄	C₁₉×#121	1	8	yes	—
308	C₂×C₄	C₁₉×#124	1	4	yes	—
309	C₂×C₄	C₁₉×#127	1	4	yes	—
310	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
311	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
312	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
313	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
314	C₈	—	2	8	no	—
315	C₈	—	4	4	no	—
316	C₂²	—	2	16	no	—
317	C₂²	—	2	8	no	—
318	C₂²	—	4	8	no	—
319	C₂²	—	4	32	no	—
320	C₂²	—	4	4	no	—
321	C₂²	—	4	4	no	—
322	C₂²	C₁₉×#390	1	4	yes	—
323	C₂²	C₁₉×#407	1	4	yes	—
324	C₂²	C₁₉×#408	1	4	yes	—
325	C₂²	C₁₉×#435	1	16	yes	—
326	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
327	C₂²	C₂×C₄×D₄×C₁₉	1	2	yes	—
328	C₂²	C₂²×M₁₆×C₁₉	1	2	yes	—
329	C₂²	C₂×C₁₉×#131	1	2	yes	—
330	C₄	—	2	4	no	—
331	C₄	—	2	4	no	—
332	C₄	—	4	4	no	—
333	C₄	C₁₉×#390	1	4	yes	—
334	C₄	C₂×C₁₉×#121	1	2	yes	—
335	C₄	C₂×C₁₉×#124	1	1	yes	characteristic
336	C₄	C₂×C₁₉×#127	1	1	yes	characteristic
337	C₂	—	4	8	no	—
338	C₂	C₁₉×#1955	1	8	yes	direct product factor
339	C₂	C₂×C₁₉×#390	1	1	yes	characteristic
340	C₂	C₂×C₁₉×#407	1	1	yes	characteristic
341	C₂	C₂×C₁₉×#408	1	1	yes	characteristic
342	C₂	C₂×C₁₉×#435	1	4	yes	—

	subgroup	G/H
center	C₂³×C₄×C₁₉	C₂³
commutator	C₂³	C₂³×C₄×C₁₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
socle	C₂⁴×C₁₉	C₂²×C₄
prime radical	C₂³×D₄×C₁₉	C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₁₉×C₄⋊C₈	C₂	semidirect
3. C₂²×C₁₉×C₂²⋊C₈	C₂	semidirect
4. C₂²×C₁₉×#97	C₂	semidirect
5. C₁₉×#1955	C₂	direct (N × H)
18. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
20. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
22. C₂×C₁₉×#97	C₂²	semidirect
41. C₂²×C₈×C₁₉	D₄	semidirect
98. C₂×C₈×C₁₉	C₂×D₄	semidirect
104. C₂×#1955	C₁₉	direct (N × H)
146. C₂²×C₄⋊C₈	C₂×C₁₉	semidirect
147. C₂²×C₂²⋊C₈	C₂×C₁₉	semidirect
148. C₂²×#97	C₂×C₁₉	semidirect
149. #1955	C₂×C₁₉	direct (N × H)
183. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
185. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
187. C₂×#97	C₂²×C₁₉	semidirect
189. C₂×C₁₉	#1955	direct (N × H)
212. C₂²×C₈	D₄×C₁₉	semidirect
229. C₁₉	C₂×#1955	direct (N × H)
270. C₂×C₈	C₂×D₄×C₁₉	semidirect
338. C₂	C₁₉×#1955	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×C₄×D₄×C₁₉	2
C₂²×C₁₉×C₄⋊C₈	2
C₂²×C₁₉×C₂²⋊C₈	2
C₂²×C₁₉×#97	2
C₁₉×#1955	2
C₂×#1955	19

Subgroups — C2×C19×#1955 #18027145

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₉×#1955 #18027145