Subgroups — C₁₉×#34595 #18040554

Order 4864.

1698 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#2666	C₂	1	8	yes	maximal, complemented
2	C₁₉×#2659	C₂	1	2	yes	maximal
3	C₁₉×#2646	C₂	1	2	yes	maximal
4	C₁₉×#2627	C₂	1	4	yes	maximal
5	C₁₉×#2402	C₂	1	4	yes	maximal, complemented
6	C₁₉×#2399	C₂	1	4	yes	maximal, complemented
7	C₄×C₁₉×C₂²⋊Q₈	C₂	1	4	yes	maximal
8	C₁₉×#2283	C₂	1	2	yes	maximal
9	C₂×C₄×C₄⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
10	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	—
11	C₂×C₄×Q₈×C₁₉	C₂²	1	4	yes	—
12	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
13	C₂²×C₄²×C₁₉	C₂²	1	2	yes	—
14	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
15	C₁₉×#400	C₂²	1	8	yes	—
16	C₁₉×#400	C₂²	1	8	yes	—
17	C₁₉×#398	C₂²	1	8	yes	—
18	C₁₉×#398	C₂²	1	8	yes	—
19	C₁₉×#398	C₂²	1	8	yes	—
20	C₁₉×#398	C₂²	1	8	yes	—
21	C₁₉×#395	C₂²	1	8	yes	—
22	C₁₉×#395	C₂²	1	8	yes	—
23	C₁₉×#391	C₂²	1	4	yes	—
24	C₁₉×#389	C₂²	1	4	yes	—
25	C₁₉×#387	C₂²	1	8	yes	—
26	C₁₉×#385	C₂²	1	8	yes	—
27	C₁₉×#383	C₂²	1	4	yes	—
28	C₁₉×#382	C₂²	1	4	yes	—
29	C₁₉×#381	C₂²	1	4	yes	—
30	C₁₉×#380	C₂²	1	4	yes	—
31	C₁₉×#380	C₂²	1	4	yes	—
32	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
33	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
34	C₄×C₄⋊C₄×C₁₉	C₂²	1	8	yes	—
35	C₄×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
36	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
37	C₄×C₄⋊C₄×C₁₉	C₂²	1	4	yes	—
38	C₄×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	—
39	C₁₉×#376	C₂²	1	4	yes	—
40	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
41	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
42	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
43	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
44	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
45	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
46	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
47	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
48	C₁₉×C₂²⋊Q₈	—	2	16	no	—
49	C₄×Q₈×C₁₉	—	4	8	no	—
50	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
51	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
52	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
53	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
54	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
55	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
56	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
57	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
58	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
59	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
60	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
61	C₂×C₄²×C₁₉	—	4	4	no	—
62	C₂×C₄²×C₁₉	Q₈	1	8	yes	complemented
63	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
64	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
65	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
66	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
67	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
68	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
69	C₁₉×#95	C₂³	1	4	yes	—
70	C₁₉×#95	C₂³	1	4	yes	—
71	C₁₉×#95	C₂³	1	8	yes	—
72	C₁₉×#95	C₂³	1	8	yes	—
73	C₁₉×#95	C₂³	1	8	yes	—
74	C₁₉×#95	C₂³	1	8	yes	—
75	C₁₉×#95	C₂³	1	4	yes	—
76	C₁₉×#95	C₂³	1	4	yes	—
77	C₁₉×#95	C₂³	1	8	yes	—
78	C₁₉×#95	C₂³	1	8	yes	—
79	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
80	C₂×Q₈×C₁₉	—	2	8	no	—
81	C₂×Q₈×C₁₉	—	4	4	no	—
82	C₂×Q₈×C₁₉	—	4	4	no	—
83	C₂²×C₄×C₁₉	—	2	4	no	—
84	C₂²×C₄×C₁₉	—	2	2	no	—
85	C₂²×C₄×C₁₉	—	2	2	no	—
86	C₂²×C₄×C₁₉	—	2	4	no	—
87	C₂²×C₄×C₁₉	—	4	2	no	—
88	C₂²×C₄×C₁₉	—	4	2	no	—
89	C₂²×C₄×C₁₉	—	4	2	no	—
90	C₂²×C₄×C₁₉	—	4	2	no	—
91	C₂²×C₄×C₁₉	—	4	2	no	—
92	C₂²×C₄×C₁₉	C₂×Q₈	1	4	yes	—
93	C₂²×C₄×C₁₉	C₂×Q₈	1	4	yes	—
94	C₂²×C₄×C₁₉	C₂×Q₈	1	4	yes	—
95	C₂²×C₄×C₁₉	#41	1	8	yes	—
96	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
97	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
98	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
99	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
100	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
101	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
102	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
103	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
104	C₄⋊C₄×C₁₉	—	2	16	no	—
105	C₄⋊C₄×C₁₉	—	2	8	no	—
106	C₄⋊C₄×C₁₉	—	2	16	no	—
107	C₄⋊C₄×C₁₉	—	4	4	no	—
108	C₄⋊C₄×C₁₉	—	4	4	no	—
109	C₄⋊C₄×C₁₉	—	4	4	no	—
110	C₄⋊C₄×C₁₉	—	4	8	no	—
111	C₄⋊C₄×C₁₉	—	4	4	no	—
112	C₄⋊C₄×C₁₉	—	4	8	no	—
113	C₂²⋊C₄×C₁₉	—	2	16	no	—
114	C₄²×C₁₉	—	2	8	no	—
115	C₄²×C₁₉	—	2	8	no	—
116	C₄²×C₁₉	—	2	8	no	—
117	C₄²×C₁₉	—	4	4	no	—
118	C₄²×C₁₉	C₂×Q₈	1	8	yes	—
119	C₄²×C₁₉	C₂×Q₈	1	8	yes	—
120	#34595	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
121	C₂³×C₁₉	—	2	1	no	—
122	C₂³×C₁₉	—	2	1	no	—
123	C₂³×C₁₉	—	2	2	no	—
124	C₂³×C₁₉	C₂²×Q₈	1	2	yes	—
125	C₂³×C₁₉	C₂×#41	1	4	yes	—
126	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
127	Q₈×C₁₉	—	4	16	no	—
128	C₂×C₄×C₁₉	—	2	8	no	—
129	C₂×C₄×C₁₉	—	2	4	no	—
130	C₂×C₄×C₁₉	—	2	4	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	4	no	—
134	C₂×C₄×C₁₉	—	2	4	no	—
135	C₂×C₄×C₁₉	—	2	8	no	—
136	C₂×C₄×C₁₉	—	2	8	no	—
137	C₂×C₄×C₁₉	—	2	8	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	2	4	no	—
140	C₂×C₄×C₁₉	—	2	8	no	—
141	C₂×C₄×C₁₉	—	2	8	no	—
142	C₂×C₄×C₁₉	—	2	8	no	—
143	C₂×C₄×C₁₉	—	2	4	no	—
144	C₂×C₄×C₁₉	—	2	8	no	—
145	C₂×C₄×C₁₉	—	4	4	no	—
146	C₂×C₄×C₁₉	—	4	8	no	—
147	C₂×C₄×C₁₉	—	4	8	no	—
148	C₂×C₄×C₁₉	C₂²×Q₈	1	4	yes	—
149	C₂×C₄×C₁₉	C₂²×Q₈	1	2	yes	—
150	C₂×C₄×C₁₉	C₂²×Q₈	1	4	yes	—
151	C₂×C₄×C₁₉	C₂²×Q₈	1	2	yes	—
152	C₂×C₄×C₁₉	C₂×#41	1	8	yes	—
153	C₂×C₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
154	C₂×C₄×C₁₉	2₋¹⁺⁴	1	2	yes	—
155	#2666	C₂×C₁₉	1	8	yes	complemented
156	#2659	C₂×C₁₉	1	2	yes	—
157	#2646	C₂×C₁₉	1	2	yes	—
158	#2627	C₂×C₁₉	1	4	yes	—
159	#2402	C₂×C₁₉	1	4	yes	complemented
160	#2399	C₂×C₁₉	1	4	yes	complemented
161	C₄×C₂²⋊Q₈	C₂×C₁₉	1	4	yes	—
162	#2283	C₂×C₁₉	1	2	yes	—
163	C₂×C₄×C₄⋊C₄	C₂×C₁₉	1	1	yes	characteristic
164	C₂²×C₁₉	—	2	2	no	—
165	C₂²×C₁₉	—	2	2	no	—
166	C₂²×C₁₉	—	2	4	no	—
167	C₂²×C₁₉	—	2	4	no	—
168	C₂²×C₁₉	#533	1	4	yes	—
169	C₂²×C₁₉	C₂³×Q₈	1	1	yes	characteristic
170	C₂²×C₁₉	C₂²×#41	1	2	yes	—
171	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
172	C₂²×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
173	C₂²×C₁₉	#585	1	2	yes	—
174	C₄×C₁₉	—	2	4	no	—
175	C₄×C₁₉	—	2	2	no	—
176	C₄×C₁₉	—	2	4	no	—
177	C₄×C₁₉	—	2	8	no	—
178	C₄×C₁₉	—	4	4	no	—
179	C₄×C₁₉	—	4	8	no	—
180	C₄×C₁₉	—	4	8	no	—
181	C₄×C₁₉	#544	1	4	yes	—
182	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	—
183	C₂×C₄×Q₈	C₂²×C₁₉	1	4	yes	—
184	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
185	C₂²×C₄²	C₂²×C₁₉	1	2	yes	—
186	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
187	#400	C₂²×C₁₉	1	8	yes	—
188	#400	C₂²×C₁₉	1	8	yes	—
189	#398	C₂²×C₁₉	1	8	yes	—
190	#398	C₂²×C₁₉	1	8	yes	—
191	#398	C₂²×C₁₉	1	8	yes	—
192	#398	C₂²×C₁₉	1	8	yes	—
193	#395	C₂²×C₁₉	1	8	yes	—
194	#395	C₂²×C₁₉	1	8	yes	—
195	#391	C₂²×C₁₉	1	4	yes	—
196	#389	C₂²×C₁₉	1	4	yes	—
197	#387	C₂²×C₁₉	1	8	yes	—
198	#385	C₂²×C₁₉	1	8	yes	—
199	#383	C₂²×C₁₉	1	4	yes	—
200	#382	C₂²×C₁₉	1	4	yes	—
201	#381	C₂²×C₁₉	1	4	yes	—
202	#380	C₂²×C₁₉	1	4	yes	—
203	#380	C₂²×C₁₉	1	4	yes	—
204	C₄×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
205	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
206	C₄×C₄⋊C₄	C₂²×C₁₉	1	8	yes	—
207	C₄×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
208	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
209	C₄×C₄⋊C₄	C₂²×C₁₉	1	4	yes	—
210	C₄×C₂²⋊C₄	C₂²×C₁₉	1	4	yes	—
211	#376	C₂²×C₁₉	1	4	yes	—
212	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
213	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
214	C₂×C₁₉	—	2	4	no	—
215	C₂×C₁₉	C₂×#533	1	1	yes	characteristic
216	C₂×C₁₉	C₂×#544	1	1	yes	characteristic
217	C₂×C₁₉	#3458	1	1	yes	characteristic
218	C₂×C₁₉	#3459	1	2	yes	—
219	C₂×C₁₉	#3461	1	2	yes	—
220	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
221	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
222	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
223	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
224	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
225	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
226	C₂²⋊Q₈	—	2	16	no	—
227	C₄×Q₈	—	4	8	no	—
228	C₂×C₄⋊C₄	—	2	8	no	—
229	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
230	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
231	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
232	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
233	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
234	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
235	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
236	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
237	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
238	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
239	C₂×C₄²	—	4	4	no	—
240	C₂×C₄²	Q₈×C₁₉	1	8	yes	complemented
241	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
242	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
243	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
244	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
245	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
246	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
247	#95	C₂³×C₁₉	1	4	yes	—
248	#95	C₂³×C₁₉	1	4	yes	—
249	#95	C₂³×C₁₉	1	8	yes	—
250	#95	C₂³×C₁₉	1	8	yes	—
251	#95	C₂³×C₁₉	1	8	yes	—
252	#95	C₂³×C₁₉	1	8	yes	—
253	#95	C₂³×C₁₉	1	4	yes	—
254	#95	C₂³×C₁₉	1	4	yes	—
255	#95	C₂³×C₁₉	1	8	yes	—
256	#95	C₂³×C₁₉	1	8	yes	—
257	C₁₉	#34595	1	1	yes	characteristic, direct product factor, Sylow
258	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
259	C₂×Q₈	—	2	8	no	—
260	C₂×Q₈	—	4	4	no	—
261	C₂×Q₈	—	4	4	no	—
262	C₂²×C₄	—	2	4	no	—
263	C₂²×C₄	—	2	2	no	—
264	C₂²×C₄	—	2	2	no	—
265	C₂²×C₄	—	2	4	no	—
266	C₂²×C₄	—	4	2	no	—
267	C₂²×C₄	—	4	2	no	—
268	C₂²×C₄	—	4	2	no	—
269	C₂²×C₄	—	4	2	no	—
270	C₂²×C₄	—	4	2	no	—
271	C₂²×C₄	C₂×Q₈×C₁₉	1	4	yes	—
272	C₂²×C₄	C₂×Q₈×C₁₉	1	4	yes	—
273	C₂²×C₄	C₂×Q₈×C₁₉	1	4	yes	—
274	C₂²×C₄	#41×C₁₉	1	8	yes	—
275	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
276	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
277	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
278	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
279	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
280	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
281	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
282	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
283	C₄⋊C₄	—	2	16	no	—
284	C₄⋊C₄	—	2	8	no	—
285	C₄⋊C₄	—	2	16	no	—
286	C₄⋊C₄	—	4	4	no	—
287	C₄⋊C₄	—	4	4	no	—
288	C₄⋊C₄	—	4	4	no	—
289	C₄⋊C₄	—	4	8	no	—
290	C₄⋊C₄	—	4	4	no	—
291	C₄⋊C₄	—	4	8	no	—
292	C₂²⋊C₄	—	2	16	no	—
293	C₄²	—	2	8	no	—
294	C₄²	—	2	8	no	—
295	C₄²	—	2	8	no	—
296	C₄²	—	4	4	no	—
297	C₄²	C₂×Q₈×C₁₉	1	8	yes	—
298	C₄²	C₂×Q₈×C₁₉	1	8	yes	—
299	C₂³	—	2	1	no	—
300	C₂³	—	2	1	no	—
301	C₂³	—	2	2	no	—
302	C₂³	C₂²×Q₈×C₁₉	1	2	yes	—
303	C₂³	C₂×#41×C₁₉	1	4	yes	—
304	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
305	Q₈	—	4	16	no	—
306	C₂×C₄	—	2	8	no	—
307	C₂×C₄	—	2	4	no	—
308	C₂×C₄	—	2	4	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	2	8	no	—
314	C₂×C₄	—	2	8	no	—
315	C₂×C₄	—	2	8	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	2	4	no	—
318	C₂×C₄	—	2	8	no	—
319	C₂×C₄	—	2	8	no	—
320	C₂×C₄	—	2	8	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	2	8	no	—
323	C₂×C₄	—	4	4	no	—
324	C₂×C₄	—	4	8	no	—
325	C₂×C₄	—	4	8	no	—
326	C₂×C₄	C₂²×Q₈×C₁₉	1	4	yes	—
327	C₂×C₄	C₂²×Q₈×C₁₉	1	2	yes	—
328	C₂×C₄	C₂²×Q₈×C₁₉	1	4	yes	—
329	C₂×C₄	C₂²×Q₈×C₁₉	1	2	yes	—
330	C₂×C₄	C₂×#41×C₁₉	1	8	yes	—
331	C₂×C₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
332	C₂×C₄	C₁₉×2₋¹⁺⁴	1	2	yes	—
333	C₂²	—	2	2	no	—
334	C₂²	—	2	2	no	—
335	C₂²	—	2	4	no	—
336	C₂²	—	2	4	no	—
337	C₂²	C₁₉×#533	1	4	yes	—
338	C₂²	C₂³×Q₈×C₁₉	1	1	yes	characteristic
339	C₂²	C₂²×#41×C₁₉	1	2	yes	—
340	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
341	C₂²	C₂×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
342	C₂²	C₁₉×#585	1	2	yes	—
343	C₄	—	2	4	no	—
344	C₄	—	2	2	no	—
345	C₄	—	2	4	no	—
346	C₄	—	2	8	no	—
347	C₄	—	4	4	no	—
348	C₄	—	4	8	no	—
349	C₄	—	4	8	no	—
350	C₄	C₁₉×#544	1	4	yes	—
351	C₂	—	2	4	no	—
352	C₂	C₂×C₁₉×#533	1	1	yes	characteristic
353	C₂	C₂×C₁₉×#544	1	1	yes	characteristic
354	C₂	C₁₉×#3458	1	1	yes	characteristic
355	C₂	C₁₉×#3459	1	2	yes	—
356	C₂	C₁₉×#3461	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₁₉×#2666	C₂	semidirect
5. C₁₉×#2402	C₂	semidirect
6. C₁₉×#2399	C₂	semidirect
62. C₂×C₄²×C₁₉	Q₈	semidirect
120. #34595	C₁₉	direct (N × H)
155. #2666	C₂×C₁₉	semidirect
159. #2402	C₂×C₁₉	semidirect
160. #2399	C₂×C₁₉	semidirect
240. C₂×C₄²	Q₈×C₁₉	semidirect
257. C₁₉	#34595	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₉×#2666	2
C₁₉×#2659	2
C₁₉×#2646	2
C₁₉×#2627	2
C₁₉×#2402	2
C₁₉×#2399	2
C₄×C₁₉×C₂²⋊Q₈	2
C₁₉×#2283	2
C₂×C₄×C₄⋊C₄×C₁₉	2
#34595	19

Subgroups — C19×#34595 #18040554

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#34595 #18040554