Subgroups — C₁₉×#14637 #18020596

Order 4864.

1378 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#396	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1445	C₂	1	3	yes	maximal, complemented
3	C₁₉×#1444	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1443	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1441	C₂	1	3	yes	maximal, complemented
6	C₁₉×#1439	C₂	1	3	yes	maximal
7	C₁₉×C₂²⋊#95	C₂	1	3	yes	maximal
8	C₂⁴×C₄×C₁₉	C₂²	1	1	yes	characteristic
9	C₂²×C₄⋊C₄×C₁₉	C₂²	1	3	yes	—
10	C₂²×C₄⋊C₄×C₁₉	C₂²	1	3	yes	—
11	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	3	yes	—
12	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	3	yes	—
13	C₁₉×#396	C₄	1	8	yes	complemented
14	C₂×C₁₉×#95	C₂²	1	3	yes	—
15	C₂×C₁₉×#95	C₂²	1	3	yes	—
16	C₂×C₁₉×#95	C₂²	1	3	yes	—
17	C₂×C₁₉×#95	C₂²	1	3	yes	—
18	C₂×C₁₉×#95	C₂²	1	3	yes	—
19	C₂×C₁₉×#95	C₂²	1	3	yes	—
20	C₂×C₁₉×#95	C₂²	1	3	yes	—
21	C₂×C₁₉×#95	C₂²	1	1	yes	characteristic
22	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
23	C₂³×C₄×C₁₉	—	4	3	no	—
24	C₂³×C₄×C₁₉	—	4	3	no	—
25	C₂³×C₄×C₁₉	Q₈	1	4	yes	—
26	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
27	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
28	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
29	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
30	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
31	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
32	C₂×C₄⋊C₄×C₁₉	—	4	3	no	—
33	C₂×C₄⋊C₄×C₁₉	—	4	3	no	—
34	C₂×C₄⋊C₄×C₁₉	—	4	3	no	—
35	C₂×C₄⋊C₄×C₁₉	—	4	3	no	—
36	C₂×C₄⋊C₄×C₁₉	—	4	3	no	—
37	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	12	yes	complemented
38	C₂×C₂²⋊C₄×C₁₉	—	2	6	no	—
39	C₂×C₂²⋊C₄×C₁₉	—	4	3	no	—
40	C₂×C₂²⋊C₄×C₁₉	—	4	3	no	—
41	C₂×C₂²⋊C₄×C₁₉	—	4	3	no	—
42	C₂×C₂²⋊C₄×C₁₉	—	4	3	no	—
43	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	12	yes	—
44	C₁₉×#95	—	4	3	no	—
45	C₁₉×#95	—	4	3	no	—
46	C₁₉×#95	—	4	3	no	—
47	C₁₉×#95	—	4	3	no	—
48	C₁₉×#95	—	4	3	no	—
49	C₁₉×#95	—	4	3	no	—
50	C₁₉×#95	—	4	3	no	—
51	C₁₉×#95	C₂×C₄	1	4	yes	complemented
52	C₂⁴×C₁₉	—	2	3	no	—
53	C₂⁴×C₁₉	—	2	3	no	—
54	C₂⁴×C₁₉	—	2	3	no	—
55	C₂⁴×C₁₉	—	2	3	no	—
56	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
57	C₂⁴×C₁₉	C₂×Q₈	1	2	yes	—
58	C₂⁴×C₁₉	#41	1	2	yes	—
59	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
60	C₂²×C₄×C₁₉	—	2	3	no	—
61	C₂²×C₄×C₁₉	—	2	3	no	—
62	C₂²×C₄×C₁₉	—	2	3	no	—
63	C₂²×C₄×C₁₉	—	2	3	no	—
64	C₂²×C₄×C₁₉	—	2	3	no	—
65	C₂²×C₄×C₁₉	—	2	3	no	—
66	C₂²×C₄×C₁₉	—	2	3	no	—
67	C₂²×C₄×C₁₉	—	2	3	no	—
68	C₂²×C₄×C₁₉	—	2	3	no	—
69	C₂²×C₄×C₁₉	—	2	3	no	—
70	C₂²×C₄×C₁₉	—	2	3	no	—
71	C₂²×C₄×C₁₉	—	2	3	no	—
72	C₂²×C₄×C₁₉	—	2	3	no	—
73	C₂²×C₄×C₁₉	—	2	3	no	—
74	C₂²×C₄×C₁₉	—	2	3	no	—
75	C₂²×C₄×C₁₉	—	2	3	no	—
76	C₂²×C₄×C₁₉	—	2	3	no	—
77	C₂²×C₄×C₁₉	—	2	3	no	—
78	C₂²×C₄×C₁₉	—	2	3	no	—
79	C₂²×C₄×C₁₉	—	2	3	no	—
80	C₂²×C₄×C₁₉	—	2	3	no	—
81	C₂²×C₄×C₁₉	—	2	3	no	—
82	C₂²×C₄×C₁₉	—	2	3	no	—
83	C₂²×C₄×C₁₉	—	2	3	no	—
84	C₂²×C₄×C₁₉	—	2	3	no	—
85	C₂²×C₄×C₁₉	—	2	3	no	—
86	C₂²×C₄×C₁₉	—	2	3	no	—
87	C₂²×C₄×C₁₉	—	2	3	no	—
88	C₂²×C₄×C₁₉	—	2	3	no	—
89	C₂²×C₄×C₁₉	—	2	3	no	—
90	C₂²×C₄×C₁₉	—	4	12	no	—
91	C₂²×C₄×C₁₉	—	4	4	no	—
92	C₂²×C₄×C₁₉	—	4	12	no	—
93	C₂²×C₄×C₁₉	C₂²×C₄	1	6	yes	—
94	C₂²×C₄×C₁₉	C₂²×C₄	1	6	yes	—
95	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
96	C₂²×C₄×C₁₉	C₂×Q₈	1	2	yes	—
97	C₄⋊C₄×C₁₉	—	4	12	no	—
98	C₄⋊C₄×C₁₉	—	4	12	no	—
99	C₂²⋊C₄×C₁₉	—	4	12	no	—
100	C₂²⋊C₄×C₁₉	—	4	12	no	—
101	#14637	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
102	C₂³×C₁₉	—	2	6	no	—
103	C₂³×C₁₉	—	2	6	no	—
104	C₂³×C₁₉	—	2	6	no	—
105	C₂³×C₁₉	—	2	6	no	—
106	C₂³×C₁₉	—	2	6	no	—
107	C₂³×C₁₉	—	2	6	no	—
108	C₂³×C₁₉	—	4	1	no	—
109	C₂³×C₁₉	—	4	3	no	—
110	C₂³×C₁₉	—	4	3	no	—
111	C₂³×C₁₉	—	4	3	no	—
112	C₂³×C₁₉	—	4	3	no	—
113	C₂³×C₁₉	—	4	3	no	—
114	C₂³×C₁₉	C₄×Q₈	1	4	yes	—
115	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
116	C₂³×C₁₉	C₂²×Q₈	1	1	yes	characteristic
117	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
118	C₂³×C₁₉	H(5,𝔽₂)	1	3	yes	—
119	C₂³×C₁₉	H(5,𝔽₂)	1	3	yes	—
120	C₂³×C₁₉	H(5,𝔽₂)	1	3	yes	—
121	C₂³×C₁₉	2₋¹⁺⁴	1	3	yes	—
122	C₂×C₄×C₁₉	—	2	6	no	—
123	C₂×C₄×C₁₉	—	2	6	no	—
124	C₂×C₄×C₁₉	—	2	6	no	—
125	C₂×C₄×C₁₉	—	2	6	no	—
126	C₂×C₄×C₁₉	—	2	6	no	—
127	C₂×C₄×C₁₉	—	2	6	no	—
128	C₂×C₄×C₁₉	—	2	6	no	—
129	C₂×C₄×C₁₉	—	2	6	no	—
130	C₂×C₄×C₁₉	—	4	16	no	—
131	C₂×C₄×C₁₉	—	4	3	no	—
132	C₂×C₄×C₁₉	—	4	3	no	—
133	C₂×C₄×C₁₉	—	4	3	no	—
134	C₂×C₄×C₁₉	—	4	3	no	—
135	C₂×C₄×C₁₉	—	4	1	no	—
136	C₂×C₄×C₁₉	—	4	1	no	—
137	C₂×C₄×C₁₉	—	4	3	no	—
138	C₂×C₄×C₁₉	—	4	3	no	—
139	C₂×C₄×C₁₉	—	4	3	no	—
140	C₂×C₄×C₁₉	—	4	3	no	—
141	C₂×C₄×C₁₉	—	4	3	no	—
142	C₂×C₄×C₁₉	—	4	3	no	—
143	C₂×C₄×C₁₉	—	4	3	no	—
144	C₂×C₄×C₁₉	—	4	3	no	—
145	C₂×C₄×C₁₉	—	4	3	no	—
146	C₂×C₄×C₁₉	—	4	3	no	—
147	C₂×C₄×C₁₉	—	4	3	no	—
148	C₂×C₄×C₁₉	—	4	3	no	—
149	C₂×C₄×C₁₉	—	4	3	no	—
150	C₂×C₄×C₁₉	—	4	3	no	—
151	C₂×C₄×C₁₉	—	4	3	no	—
152	C₂×C₄×C₁₉	—	4	3	no	—
153	C₂×C₄×C₁₉	—	4	3	no	—
154	C₂×C₄×C₁₉	—	4	3	no	—
155	C₂×C₄×C₁₉	—	4	3	no	—
156	C₂×C₄×C₁₉	—	4	3	no	—
157	C₂×#396	C₂×C₁₉	1	1	yes	characteristic
158	#1445	C₂×C₁₉	1	3	yes	complemented
159	#1444	C₂×C₁₉	1	1	yes	characteristic, complemented
160	#1443	C₂×C₁₉	1	1	yes	characteristic, complemented
161	#1441	C₂×C₁₉	1	3	yes	complemented
162	#1439	C₂×C₁₉	1	3	yes	—
163	C₂²⋊#95	C₂×C₁₉	1	3	yes	—
164	C₂²×C₁₉	—	2	12	no	—
165	C₂²×C₁₉	—	4	2	no	—
166	C₂²×C₁₉	—	4	6	no	—
167	C₂²×C₁₉	—	4	6	no	—
168	C₂²×C₁₉	—	4	2	no	—
169	C₂²×C₁₉	—	4	6	no	—
170	C₂²×C₁₉	—	4	2	no	—
171	C₂²×C₁₉	C₂×C₄×Q₈	1	1	yes	characteristic
172	C₂²×C₁₉	#518	1	3	yes	—
173	C₂²×C₁₉	#520	1	3	yes	—
174	C₂²×C₁₉	#538	1	3	yes	—
175	C₂²×C₁₉	#539	1	3	yes	—
176	C₂²×C₁₉	#543	1	3	yes	—
177	C₂²×C₁₉	#544	1	3	yes	—
178	C₂²×C₁₉	#560	1	3	yes	—
179	C₂²×C₁₉	#560	1	1	yes	characteristic
180	C₂²×C₁₉	#560	1	3	yes	—
181	C₂²×C₁₉	#562	1	3	yes	—
182	C₂²×C₁₉	#562	1	3	yes	—
183	C₂²×C₁₉	#563	1	3	yes	—
184	C₄×C₁₉	—	4	2	no	—
185	C₄×C₁₉	—	4	2	no	—
186	C₄×C₁₉	—	4	6	no	—
187	C₄×C₁₉	—	4	6	no	—
188	C₄×C₁₉	—	8	3	no	—
189	C₄×C₁₉	—	8	3	no	—
190	C₂⁴×C₄	C₂²×C₁₉	1	1	yes	characteristic
191	C₂²×C₄⋊C₄	C₂²×C₁₉	1	3	yes	—
192	C₂²×C₄⋊C₄	C₂²×C₁₉	1	3	yes	—
193	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	3	yes	—
194	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	3	yes	—
195	#396	C₄×C₁₉	1	8	yes	complemented
196	C₂×#95	C₂²×C₁₉	1	3	yes	—
197	C₂×#95	C₂²×C₁₉	1	3	yes	—
198	C₂×#95	C₂²×C₁₉	1	3	yes	—
199	C₂×#95	C₂²×C₁₉	1	3	yes	—
200	C₂×#95	C₂²×C₁₉	1	3	yes	—
201	C₂×#95	C₂²×C₁₉	1	3	yes	—
202	C₂×#95	C₂²×C₁₉	1	3	yes	—
203	C₂×#95	C₂²×C₁₉	1	1	yes	characteristic
204	C₂×C₁₉	—	4	4	no	—
205	C₂×C₁₉	#2329	1	3	yes	—
206	C₂×C₁₉	#2377	1	3	yes	—
207	C₂×C₁₉	#2383	1	1	yes	characteristic
208	C₂×C₁₉	#2825	1	1	yes	characteristic
209	C₂×C₁₉	#2827	1	3	yes	—
210	C₂×C₁₉	#2841	1	3	yes	—
211	C₂×C₁₉	#2842	1	1	yes	characteristic
212	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
213	C₂³×C₄	—	4	3	no	—
214	C₂³×C₄	—	4	3	no	—
215	C₂³×C₄	Q₈×C₁₉	1	4	yes	—
216	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
217	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
218	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
219	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
220	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
221	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
222	C₂×C₄⋊C₄	—	4	3	no	—
223	C₂×C₄⋊C₄	—	4	3	no	—
224	C₂×C₄⋊C₄	—	4	3	no	—
225	C₂×C₄⋊C₄	—	4	3	no	—
226	C₂×C₄⋊C₄	—	4	3	no	—
227	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	12	yes	complemented
228	C₂×C₂²⋊C₄	—	2	6	no	—
229	C₂×C₂²⋊C₄	—	4	3	no	—
230	C₂×C₂²⋊C₄	—	4	3	no	—
231	C₂×C₂²⋊C₄	—	4	3	no	—
232	C₂×C₂²⋊C₄	—	4	3	no	—
233	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	12	yes	—
234	#95	—	4	3	no	—
235	#95	—	4	3	no	—
236	#95	—	4	3	no	—
237	#95	—	4	3	no	—
238	#95	—	4	3	no	—
239	#95	—	4	3	no	—
240	#95	—	4	3	no	—
241	#95	C₂×C₄×C₁₉	1	4	yes	complemented
242	C₁₉	#14637	1	1	yes	characteristic, direct product factor, Sylow
243	C₂⁴	—	2	3	no	—
244	C₂⁴	—	2	3	no	—
245	C₂⁴	—	2	3	no	—
246	C₂⁴	—	2	3	no	—
247	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
248	C₂⁴	C₂×Q₈×C₁₉	1	2	yes	—
249	C₂⁴	#41×C₁₉	1	2	yes	—
250	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
251	C₂²×C₄	—	2	3	no	—
252	C₂²×C₄	—	2	3	no	—
253	C₂²×C₄	—	2	3	no	—
254	C₂²×C₄	—	2	3	no	—
255	C₂²×C₄	—	2	3	no	—
256	C₂²×C₄	—	2	3	no	—
257	C₂²×C₄	—	2	3	no	—
258	C₂²×C₄	—	2	3	no	—
259	C₂²×C₄	—	2	3	no	—
260	C₂²×C₄	—	2	3	no	—
261	C₂²×C₄	—	2	3	no	—
262	C₂²×C₄	—	2	3	no	—
263	C₂²×C₄	—	2	3	no	—
264	C₂²×C₄	—	2	3	no	—
265	C₂²×C₄	—	2	3	no	—
266	C₂²×C₄	—	2	3	no	—
267	C₂²×C₄	—	2	3	no	—
268	C₂²×C₄	—	2	3	no	—
269	C₂²×C₄	—	2	3	no	—
270	C₂²×C₄	—	2	3	no	—
271	C₂²×C₄	—	2	3	no	—
272	C₂²×C₄	—	2	3	no	—
273	C₂²×C₄	—	2	3	no	—
274	C₂²×C₄	—	2	3	no	—
275	C₂²×C₄	—	2	3	no	—
276	C₂²×C₄	—	2	3	no	—
277	C₂²×C₄	—	2	3	no	—
278	C₂²×C₄	—	2	3	no	—
279	C₂²×C₄	—	2	3	no	—
280	C₂²×C₄	—	2	3	no	—
281	C₂²×C₄	—	4	12	no	—
282	C₂²×C₄	—	4	4	no	—
283	C₂²×C₄	—	4	12	no	—
284	C₂²×C₄	C₂²×C₄×C₁₉	1	6	yes	—
285	C₂²×C₄	C₂²×C₄×C₁₉	1	6	yes	—
286	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
287	C₂²×C₄	C₂×Q₈×C₁₉	1	2	yes	—
288	C₄⋊C₄	—	4	12	no	—
289	C₄⋊C₄	—	4	12	no	—
290	C₂²⋊C₄	—	4	12	no	—
291	C₂²⋊C₄	—	4	12	no	—
292	C₂³	—	2	6	no	—
293	C₂³	—	2	6	no	—
294	C₂³	—	2	6	no	—
295	C₂³	—	2	6	no	—
296	C₂³	—	2	6	no	—
297	C₂³	—	2	6	no	—
298	C₂³	—	4	1	no	—
299	C₂³	—	4	3	no	—
300	C₂³	—	4	3	no	—
301	C₂³	—	4	3	no	—
302	C₂³	—	4	3	no	—
303	C₂³	—	4	3	no	—
304	C₂³	C₄×Q₈×C₁₉	1	4	yes	—
305	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
306	C₂³	C₂²×Q₈×C₁₉	1	1	yes	characteristic
307	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
308	C₂³	C₁₉×H(5,𝔽₂)	1	3	yes	—
309	C₂³	C₁₉×H(5,𝔽₂)	1	3	yes	—
310	C₂³	C₁₉×H(5,𝔽₂)	1	3	yes	—
311	C₂³	C₁₉×2₋¹⁺⁴	1	3	yes	—
312	C₂×C₄	—	2	6	no	—
313	C₂×C₄	—	2	6	no	—
314	C₂×C₄	—	2	6	no	—
315	C₂×C₄	—	2	6	no	—
316	C₂×C₄	—	2	6	no	—
317	C₂×C₄	—	2	6	no	—
318	C₂×C₄	—	2	6	no	—
319	C₂×C₄	—	2	6	no	—
320	C₂×C₄	—	4	16	no	—
321	C₂×C₄	—	4	3	no	—
322	C₂×C₄	—	4	1	no	—
323	C₂×C₄	—	4	1	no	—
324	C₂×C₄	—	4	3	no	—
325	C₂×C₄	—	4	3	no	—
326	C₂×C₄	—	4	3	no	—
327	C₂×C₄	—	4	3	no	—
328	C₂×C₄	—	4	3	no	—
329	C₂×C₄	—	4	3	no	—
330	C₂×C₄	—	4	3	no	—
331	C₂×C₄	—	4	3	no	—
332	C₂×C₄	—	4	3	no	—
333	C₂×C₄	—	4	3	no	—
334	C₂×C₄	—	4	3	no	—
335	C₂×C₄	—	4	3	no	—
336	C₂×C₄	—	4	3	no	—
337	C₂×C₄	—	4	3	no	—
338	C₂×C₄	—	4	3	no	—
339	C₂×C₄	—	4	3	no	—
340	C₂×C₄	—	4	3	no	—
341	C₂×C₄	—	4	3	no	—
342	C₂×C₄	—	4	3	no	—
343	C₂×C₄	—	4	3	no	—
344	C₂×C₄	—	4	3	no	—
345	C₂×C₄	—	4	3	no	—
346	C₂×C₄	—	4	3	no	—
347	C₂²	—	2	12	no	—
348	C₂²	—	4	2	no	—
349	C₂²	—	4	6	no	—
350	C₂²	—	4	6	no	—
351	C₂²	—	4	2	no	—
352	C₂²	—	4	6	no	—
353	C₂²	—	4	2	no	—
354	C₂²	C₂×C₄×Q₈×C₁₉	1	1	yes	characteristic
355	C₂²	C₁₉×#518	1	3	yes	—
356	C₂²	C₁₉×#520	1	3	yes	—
357	C₂²	C₁₉×#538	1	3	yes	—
358	C₂²	C₁₉×#539	1	3	yes	—
359	C₂²	C₁₉×#543	1	3	yes	—
360	C₂²	C₁₉×#544	1	3	yes	—
361	C₂²	C₁₉×#560	1	3	yes	—
362	C₂²	C₁₉×#560	1	1	yes	characteristic
363	C₂²	C₁₉×#560	1	3	yes	—
364	C₂²	C₁₉×#562	1	3	yes	—
365	C₂²	C₁₉×#562	1	3	yes	—
366	C₂²	C₁₉×#563	1	3	yes	—
367	C₄	—	4	2	no	—
368	C₄	—	4	2	no	—
369	C₄	—	4	6	no	—
370	C₄	—	4	6	no	—
371	C₄	—	8	3	no	—
372	C₄	—	8	3	no	—
373	C₂	—	4	4	no	—
374	C₂	C₁₉×#2329	1	3	yes	—
375	C₂	C₁₉×#2377	1	3	yes	—
376	C₂	C₁₉×#2383	1	1	yes	characteristic
377	C₂	C₁₉×#2825	1	1	yes	characteristic
378	C₂	C₁₉×#2827	1	3	yes	—
379	C₂	C₁₉×#2841	1	3	yes	—
380	C₂	C₁₉×#2842	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
2. C₁₉×#1445	C₂	semidirect
3. C₁₉×#1444	C₂	semidirect
4. C₁₉×#1443	C₂	semidirect
5. C₁₉×#1441	C₂	semidirect
13. C₁₉×#396	C₄	semidirect
37. C₂×C₄⋊C₄×C₁₉	C₂×C₄	semidirect
51. C₁₉×#95	C₂×C₄	semidirect
101. #14637	C₁₉	direct (N × H)
158. #1445	C₂×C₁₉	semidirect
159. #1444	C₂×C₁₉	semidirect
160. #1443	C₂×C₁₉	semidirect
161. #1441	C₂×C₁₉	semidirect
195. #396	C₄×C₁₉	semidirect
227. C₂×C₄⋊C₄	C₂×C₄×C₁₉	semidirect
241. #95	C₂×C₄×C₁₉	semidirect
242. C₁₉	#14637	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#396	2
C₁₉×#1445	2
C₁₉×#1444	2
C₁₉×#1443	2
C₁₉×#1441	2
C₁₉×#1439	2
C₁₉×C₂²⋊#95	2
#14637	19

Subgroups — C19×#14637 #18020596

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#14637 #18020596