Subgroups — C₁₉×#24575 #18030534

Order 4864.

914 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3006	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2896	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#2880	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2079	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#2078	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#2051	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#2051	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#1907	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#1907	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1900	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1855	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1822	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1816	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1815	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
21	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
22	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
23	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
24	C₁₉×#482	—	2	1	no	—
25	C₁₉×#482	—	2	1	no	—
26	C₁₉×#482	—	2	1	no	—
27	C₁₉×#482	—	2	1	no	—
28	C₁₉×#449	—	2	1	no	—
29	C₁₉×#449	—	2	1	no	—
30	C₁₉×#448	—	2	1	no	—
31	C₁₉×#447	—	2	1	no	—
32	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#419	—	2	1	no	—
37	C₁₉×#418	—	2	1	no	—
38	C₁₉×#417	C₂²	1	1	yes	characteristic
39	C₁₉×#417	C₂²	1	1	yes	characteristic
40	C₁₉×#417	C₂²	1	1	yes	characteristic
41	C₁₉×#417	C₂²	1	1	yes	characteristic
42	C₁₉×#417	C₂²	1	1	yes	characteristic
43	C₁₉×#417	C₂²	1	1	yes	characteristic
44	C₁₉×#416	—	2	1	no	—
45	C₁₉×#416	—	2	1	no	—
46	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₉×#100	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₉×#100	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#408	—	2	1	no	—
51	C₁₉×#408	—	2	1	no	—
52	C₁₉×#408	C₂²	1	1	yes	characteristic
53	C₁₉×#408	C₂²	1	1	yes	characteristic
54	C₁₉×#407	—	2	1	no	—
55	C₁₉×#407	C₂²	1	1	yes	characteristic
56	C₁₉×#407	C₂²	1	1	yes	characteristic
57	C₂×C₁₉×C₂²⋊C₈	—	2	1	no	—
58	C₂×C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
59	C₁₉×#343	C₂²	1	1	yes	characteristic, complemented
60	C₁₉×#343	C₂²	1	1	yes	characteristic, complemented
61	C₁₉×#343	C₂²	1	1	yes	characteristic, complemented
62	C₁₉×#343	C₂²	1	1	yes	characteristic, complemented
63	C₁₉×#343	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×#343	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×#341	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#341	C₂²	1	1	yes	characteristic, complemented
67	C₂×#41×C₁₉	—	2	1	no	—
68	C₂×#41×C₁₉	—	2	1	no	—
69	C₂×#41×C₁₉	—	2	2	no	—
70	C₂×#41×C₁₉	—	2	2	no	—
71	C₂×#41×C₁₉	—	4	1	no	—
72	C₂×#41×C₁₉	—	4	1	no	—
73	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
74	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
75	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
76	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
77	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
78	C₂²×D₄×C₁₉	—	2	1	no	—
79	C₂²×D₄×C₁₉	—	2	1	no	—
80	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
81	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
82	C₂³×C₄×C₁₉	—	2	1	no	—
83	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
84	C₁₉×AGL(1,ℤ/8)	—	2	2	no	—
85	C₁₉×AGL(1,ℤ/8)	—	2	2	no	—
86	C₁₉×AGL(1,ℤ/8)	—	4	1	no	—
87	C₁₉×AGL(1,ℤ/8)	—	4	1	no	—
88	C₂×SD₁₆×C₁₉	—	2	1	no	—
89	C₂×SD₁₆×C₁₉	—	2	1	no	—
90	C₂×D₈×C₁₉	—	2	1	no	—
91	C₂×D₈×C₁₉	—	2	1	no	—
92	C₁₉×#131	—	2	2	no	—
93	C₁₉×#131	—	2	2	no	—
94	C₁₉×#131	—	4	1	no	—
95	C₁₉×#131	—	4	1	no	—
96	C₂×M₁₆×C₁₉	—	2	1	no	—
97	C₂×M₁₆×C₁₉	—	2	1	no	—
98	C₂×M₁₆×C₁₉	—	2	1	no	—
99	C₂×M₁₆×C₁₉	—	4	1	no	—
100	C₂×M₁₆×C₁₉	—	4	1	no	—
101	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
102	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
103	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
104	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
105	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
106	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
107	C₂²×C₈×C₁₉	—	2	1	no	—
108	C₂²×C₈×C₁₉	—	2	1	no	—
109	C₂²×C₈×C₁₉	—	2	1	no	—
110	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
111	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
112	C₁₉×#121	—	2	1	no	—
113	C₁₉×#121	—	2	1	no	—
114	C₁₉×#121	—	2	1	no	—
115	C₁₉×#121	—	2	1	no	—
116	C₁₉×#117	—	2	1	no	—
117	C₁₉×#117	—	2	1	no	—
118	C₁₉×#117	—	2	1	no	—
119	C₁₉×#117	—	2	1	no	—
120	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
121	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
122	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
123	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
124	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
125	C₂×C₄²×C₁₉	—	2	1	no	—
126	C₁₉×#108	—	4	1	no	—
127	C₁₉×#108	—	4	1	no	—
128	C₁₉×#107	—	2	1	no	—
129	C₁₉×#107	—	2	1	no	—
130	C₁₉×#106	—	2	1	no	—
131	C₁₉×#106	—	2	1	no	—
132	C₁₉×#103	—	2	1	no	—
133	C₁₉×#103	—	2	1	no	—
134	C₁₉×#103	—	2	1	no	—
135	C₁₉×#103	—	2	1	no	—
136	C₁₉×#103	—	2	1	no	—
137	C₁₉×#103	—	2	1	no	—
138	C₁₉×#102	—	2	1	no	—
139	C₁₉×#102	—	2	1	no	—
140	C₁₉×#102	—	2	1	no	—
141	C₁₉×#102	—	2	1	no	—
142	C₁₉×#102	—	2	1	no	—
143	C₁₉×#102	—	2	1	no	—
144	C₁₉×#102	—	2	1	no	—
145	C₁₉×#102	—	2	1	no	—
146	C₁₉×#102	—	2	1	no	—
147	C₁₉×#102	—	2	1	no	—
148	C₁₉×#100	—	4	1	no	—
149	C₁₉×#100	—	4	1	no	—
150	C₁₉×C₂²⋊C₈	—	2	1	no	—
151	C₁₉×C₂²⋊C₈	—	2	1	no	—
152	C₁₉×C₂²⋊C₈	—	2	1	no	—
153	C₁₉×C₂²⋊C₈	—	2	1	no	—
154	C₁₉×C₂²⋊C₈	—	2	1	no	—
155	C₁₉×C₂²⋊C₈	—	2	1	no	—
156	C₁₉×C₂²⋊C₈	—	2	1	no	—
157	C₁₉×C₂²⋊C₈	—	2	1	no	—
158	C₁₉×C₂²⋊C₈	D₄	1	1	yes	characteristic
159	C₁₉×C₂²⋊C₈	D₄	1	1	yes	characteristic
160	C₁₉×C₂²⋊C₈	D₄	1	1	yes	characteristic
161	C₁₉×C₂²⋊C₈	D₄	1	1	yes	characteristic
162	C₂⁴×C₁₉	—	2	1	no	—
163	C₂⁴×C₁₉	—	2	1	no	—
164	C₂⁴×C₁₉	#41	1	1	yes	characteristic
165	#41×C₁₉	—	2	1	no	—
166	#41×C₁₉	—	2	1	no	—
167	#41×C₁₉	—	2	2	no	—
168	#41×C₁₉	—	2	2	no	—
169	#41×C₁₉	—	2	1	no	—
170	#41×C₁₉	—	2	1	no	—
171	#41×C₁₉	—	2	1	no	—
172	#41×C₁₉	—	2	1	no	—
173	#41×C₁₉	—	4	2	no	—
174	#41×C₁₉	—	4	2	no	—
175	#41×C₁₉	—	4	1	no	—
176	#41×C₁₉	—	4	1	no	—
177	#41×C₁₉	—	4	2	no	—
178	#41×C₁₉	—	4	2	no	—
179	#41×C₁₉	#41	1	2	yes	—
180	#41×C₁₉	#41	1	2	yes	—
181	C₂×Q₈×C₁₉	—	2	1	no	—
182	C₂×Q₈×C₁₉	—	2	2	no	—
183	C₂×Q₈×C₁₉	—	4	1	no	—
184	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
185	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
186	C₂×D₄×C₁₉	—	2	1	no	—
187	C₂×D₄×C₁₉	—	2	2	no	—
188	C₂×D₄×C₁₉	—	2	1	no	—
189	C₂×D₄×C₁₉	—	2	1	no	—
190	C₂×D₄×C₁₉	—	2	1	no	—
191	C₂×D₄×C₁₉	—	2	1	no	—
192	C₂×D₄×C₁₉	—	2	1	no	—
193	C₂×D₄×C₁₉	—	2	1	no	—
194	C₂×D₄×C₁₉	—	2	1	no	—
195	C₂×D₄×C₁₉	—	2	1	no	—
196	C₂×D₄×C₁₉	—	2	1	no	—
197	C₂×D₄×C₁₉	—	2	1	no	—
198	C₂×D₄×C₁₉	—	4	1	no	—
199	C₂×D₄×C₁₉	—	4	2	no	—
200	C₂×D₄×C₁₉	—	4	2	no	—
201	C₂×D₄×C₁₉	—	4	1	no	—
202	C₂×D₄×C₁₉	—	4	1	no	—
203	C₂×D₄×C₁₉	—	8	2	no	—
204	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
205	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
206	C₂²×C₄×C₁₉	—	2	1	no	—
207	C₂²×C₄×C₁₉	—	2	1	no	—
208	C₂²×C₄×C₁₉	—	2	1	no	—
209	C₂²×C₄×C₁₉	—	2	1	no	—
210	C₂²×C₄×C₁₉	—	2	1	no	—
211	C₂²×C₄×C₁₉	—	2	1	no	—
212	C₂²×C₄×C₁₉	—	2	1	no	—
213	C₂²×C₄×C₁₉	—	2	1	no	—
214	C₂²×C₄×C₁₉	—	2	1	no	—
215	C₂²×C₄×C₁₉	—	2	1	no	—
216	C₂²×C₄×C₁₉	—	2	1	no	—
217	C₂²×C₄×C₁₉	—	2	1	no	—
218	C₂²×C₄×C₁₉	—	4	2	no	—
219	C₂²×C₄×C₁₉	—	4	2	no	—
220	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
222	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
223	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
225	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
226	SD₁₆×C₁₉	—	4	2	no	—
227	SD₁₆×C₁₉	—	4	2	no	—
228	D₈×C₁₉	—	4	2	no	—
229	D₈×C₁₉	—	4	2	no	—
230	M₁₆×C₁₉	—	2	1	no	—
231	M₁₆×C₁₉	—	2	1	no	—
232	M₁₆×C₁₉	—	2	1	no	—
233	M₁₆×C₁₉	—	2	1	no	—
234	M₁₆×C₁₉	—	2	1	no	—
235	M₁₆×C₁₉	—	2	1	no	—
236	M₁₆×C₁₉	—	2	1	no	—
237	M₁₆×C₁₉	—	2	1	no	—
238	M₁₆×C₁₉	—	2	1	no	—
239	M₁₆×C₁₉	—	2	1	no	—
240	M₁₆×C₁₉	—	2	1	no	—
241	M₁₆×C₁₉	—	2	1	no	—
242	M₁₆×C₁₉	—	4	2	no	—
243	M₁₆×C₁₉	—	4	2	no	—
244	M₁₆×C₁₉	—	4	2	no	—
245	C₂×C₈×C₁₉	—	2	1	no	—
246	C₂×C₈×C₁₉	—	2	1	no	—
247	C₂×C₈×C₁₉	—	2	1	no	—
248	C₂×C₈×C₁₉	—	2	1	no	—
249	C₂×C₈×C₁₉	—	2	1	no	—
250	C₂×C₈×C₁₉	—	2	1	no	—
251	C₂×C₈×C₁₉	—	2	1	no	—
252	C₂×C₈×C₁₉	—	2	1	no	—
253	C₂×C₈×C₁₉	—	2	1	no	—
254	C₂×C₈×C₁₉	—	2	1	no	—
255	C₂×C₈×C₁₉	—	4	2	no	—
256	C₂×C₈×C₁₉	—	4	2	no	—
257	C₂×C₈×C₁₉	—	4	2	no	—
258	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
259	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
260	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
261	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
262	C₄⋊C₄×C₁₉	—	2	1	no	—
263	C₄⋊C₄×C₁₉	—	2	1	no	—
264	C₄⋊C₄×C₁₉	—	2	1	no	—
265	C₄⋊C₄×C₁₉	—	2	1	no	—
266	C₄⋊C₄×C₁₉	—	2	1	no	—
267	C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₂²⋊C₄×C₁₉	—	4	1	no	—
269	C₂²⋊C₄×C₁₉	—	4	1	no	—
270	C₂²⋊C₄×C₁₉	—	4	1	no	—
271	C₂²⋊C₄×C₁₉	—	4	1	no	—
272	C₄²×C₁₉	—	4	1	no	—
273	C₄²×C₁₉	—	4	1	no	—
274	#24575	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
275	C₂³×C₁₉	—	2	1	no	—
276	C₂³×C₁₉	—	2	1	no	—
277	C₂³×C₁₉	—	2	1	no	—
278	C₂³×C₁₉	—	2	1	no	—
279	C₂³×C₁₉	—	4	1	no	—
280	C₂³×C₁₉	—	4	1	no	—
281	C₂³×C₁₉	—	4	2	no	—
282	C₂³×C₁₉	—	4	2	no	—
283	C₂³×C₁₉	—	4	1	no	—
284	C₂³×C₁₉	—	4	1	no	—
285	C₂³×C₁₉	—	4	1	no	—
286	C₂³×C₁₉	—	8	1	no	—
287	C₂³×C₁₉	—	8	1	no	—
288	C₂³×C₁₉	—	8	1	no	—
289	C₂³×C₁₉	#121	1	1	yes	characteristic
290	C₂³×C₁₉	#121	1	1	yes	characteristic
291	C₂³×C₁₉	C₂×#41	1	1	yes	characteristic
292	Q₈×C₁₉	—	2	1	no	—
293	Q₈×C₁₉	—	2	1	no	—
294	Q₈×C₁₉	—	2	1	no	—
295	Q₈×C₁₉	—	4	2	no	—
296	Q₈×C₁₉	#123	1	2	yes	—
297	D₄×C₁₉	—	2	2	no	—
298	D₄×C₁₉	—	2	2	no	—
299	D₄×C₁₉	—	2	1	no	—
300	D₄×C₁₉	—	2	1	no	—
301	D₄×C₁₉	—	2	1	no	—
302	D₄×C₁₉	—	4	2	no	—
303	D₄×C₁₉	—	4	2	no	—
304	D₄×C₁₉	—	4	2	no	—
305	D₄×C₁₉	—	4	1	no	—
306	D₄×C₁₉	—	4	1	no	—
307	D₄×C₁₉	—	4	1	no	—
308	D₄×C₁₉	—	4	1	no	—
309	D₄×C₁₉	—	4	1	no	—
310	D₄×C₁₉	—	4	1	no	—
311	D₄×C₁₉	—	8	2	no	—
312	D₄×C₁₉	—	8	2	no	—
313	D₄×C₁₉	#123	1	2	yes	—
314	C₂×C₄×C₁₉	—	2	1	no	—
315	C₂×C₄×C₁₉	—	2	1	no	—
316	C₂×C₄×C₁₉	—	2	1	no	—
317	C₂×C₄×C₁₉	—	2	1	no	—
318	C₂×C₄×C₁₉	—	2	1	no	—
319	C₂×C₄×C₁₉	—	2	1	no	—
320	C₂×C₄×C₁₉	—	2	1	no	—
321	C₂×C₄×C₁₉	—	2	2	no	—
322	C₂×C₄×C₁₉	—	2	2	no	—
323	C₂×C₄×C₁₉	—	2	1	no	—
324	C₂×C₄×C₁₉	—	2	1	no	—
325	C₂×C₄×C₁₉	—	2	1	no	—
326	C₂×C₄×C₁₉	—	2	1	no	—
327	C₂×C₄×C₁₉	—	2	1	no	—
328	C₂×C₄×C₁₉	—	4	2	no	—
329	C₂×C₄×C₁₉	—	4	2	no	—
330	C₂×C₄×C₁₉	—	4	2	no	—
331	C₂×C₄×C₁₉	—	4	1	no	—
332	C₂×C₄×C₁₉	—	4	1	no	—
333	C₂×C₄×C₁₉	—	4	1	no	—
334	C₂×C₄×C₁₉	—	4	1	no	—
335	C₂×C₄×C₁₉	—	4	1	no	—
336	C₂×C₄×C₁₉	—	8	1	no	—
337	C₂×C₄×C₁₉	—	8	1	no	—
338	C₂×C₄×C₁₉	—	8	1	no	—
339	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
340	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
341	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
342	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
343	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
344	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
345	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
346	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
347	C₈×C₁₉	—	2	1	no	—
348	C₈×C₁₉	—	2	1	no	—
349	C₈×C₁₉	—	2	1	no	—
350	C₈×C₁₉	—	2	1	no	—
351	C₈×C₁₉	—	4	1	no	—
352	C₈×C₁₉	—	4	1	no	—
353	C₈×C₁₉	—	4	1	no	—
354	C₈×C₁₉	—	4	1	no	—
355	C₈×C₁₉	—	4	1	no	—
356	C₈×C₁₉	—	4	1	no	—
357	C₂×#482	C₂×C₁₉	1	1	yes	characteristic, complemented
358	#3006	C₂×C₁₉	1	1	yes	characteristic
359	#2896	C₂×C₁₉	1	1	yes	characteristic, complemented
360	#2880	C₂×C₁₉	1	1	yes	characteristic, complemented
361	#2079	C₂×C₁₉	1	1	yes	characteristic, complemented
362	#2078	C₂×C₁₉	1	1	yes	characteristic, complemented
363	#2051	C₂×C₁₉	1	1	yes	characteristic, complemented
364	#2051	C₂×C₁₉	1	1	yes	characteristic, complemented
365	#1907	C₂×C₁₉	1	1	yes	characteristic, complemented
366	#1907	C₂×C₁₉	1	1	yes	characteristic, complemented
367	#1900	C₂×C₁₉	1	1	yes	characteristic, complemented
368	#1855	C₂×C₁₉	1	1	yes	characteristic, complemented
369	#1822	C₂×C₁₉	1	1	yes	characteristic, complemented
370	#1816	C₂×C₁₉	1	1	yes	characteristic, complemented
371	#1815	C₂×C₁₉	1	1	yes	characteristic, complemented
372	C₂²×C₁₉	—	2	1	no	—
373	C₂²×C₁₉	—	2	1	no	—
374	C₂²×C₁₉	—	2	1	no	—
375	C₂²×C₁₉	—	2	1	no	—
376	C₂²×C₁₉	—	2	2	no	—
377	C₂²×C₁₉	—	2	1	no	—
378	C₂²×C₁₉	—	2	1	no	—
379	C₂²×C₁₉	—	2	1	no	—
380	C₂²×C₁₉	—	2	1	no	—
381	C₂²×C₁₉	—	4	1	no	—
382	C₂²×C₁₉	—	4	1	no	—
383	C₂²×C₁₉	—	4	1	no	—
384	C₂²×C₁₉	—	4	1	no	—
385	C₂²×C₁₉	—	4	1	no	—
386	C₂²×C₁₉	—	8	1	no	—
387	C₂²×C₁₉	—	8	1	no	—
388	C₂²×C₁₉	—	8	4	no	—
389	C₂²×C₁₉	—	8	1	no	—
390	C₂²×C₁₉	—	8	1	no	—
391	C₂²×C₁₉	—	8	1	no	—
392	C₂²×C₁₉	—	16	1	no	—
393	C₂²×C₁₉	—	16	1	no	—
394	C₂²×C₁₉	C₂×#121	1	1	yes	characteristic
395	C₂²×C₁₉	#551	1	1	yes	characteristic
396	C₂²×C₁₉	#551	1	1	yes	characteristic
397	C₄×C₁₉	—	2	1	no	—
398	C₄×C₁₉	—	2	1	no	—
399	C₄×C₁₉	—	2	2	no	—
400	C₄×C₁₉	—	4	1	no	—
401	C₄×C₁₉	—	8	1	no	—
402	C₄×C₁₉	—	8	1	no	—
403	C₄×C₁₉	—	8	1	no	—
404	C₄×C₁₉	C₂×#123	1	1	yes	characteristic
405	C₄×C₁₉	#534	1	1	yes	characteristic
406	C₄×C₁₉	#546	1	1	yes	characteristic
407	C₄×C₁₉	#546	1	1	yes	characteristic
408	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
409	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic
410	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic
411	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
412	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
413	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
414	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
415	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
416	#482	—	2	1	no	—
417	#482	—	2	1	no	—
418	#482	—	2	1	no	—
419	#482	—	2	1	no	—
420	#449	—	2	1	no	—
421	#449	—	2	1	no	—
422	#448	—	2	1	no	—
423	#447	—	2	1	no	—
424	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic, complemented
425	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic, complemented
426	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic, complemented
427	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
428	#419	—	2	1	no	—
429	#418	—	2	1	no	—
430	#417	C₂²×C₁₉	1	1	yes	characteristic
431	#417	C₂²×C₁₉	1	1	yes	characteristic
432	#417	C₂²×C₁₉	1	1	yes	characteristic
433	#417	C₂²×C₁₉	1	1	yes	characteristic
434	#417	C₂²×C₁₉	1	1	yes	characteristic
435	#417	C₂²×C₁₉	1	1	yes	characteristic
436	#416	—	2	1	no	—
437	#416	—	2	1	no	—
438	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
439	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
440	C₂×#100	C₂²×C₁₉	1	1	yes	characteristic, complemented
441	C₂×#100	C₂²×C₁₉	1	1	yes	characteristic, complemented
442	#408	—	2	1	no	—
443	#408	—	2	1	no	—
444	#408	C₂²×C₁₉	1	1	yes	characteristic
445	#408	C₂²×C₁₉	1	1	yes	characteristic
446	#407	—	2	1	no	—
447	#407	C₂²×C₁₉	1	1	yes	characteristic
448	#407	C₂²×C₁₉	1	1	yes	characteristic
449	C₂×C₂²⋊C₈	—	2	1	no	—
450	C₂×C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
451	#343	C₂²×C₁₉	1	1	yes	characteristic, complemented
452	#343	C₂²×C₁₉	1	1	yes	characteristic, complemented
453	#343	C₂²×C₁₉	1	1	yes	characteristic, complemented
454	#343	C₂²×C₁₉	1	1	yes	characteristic, complemented
455	#343	C₂²×C₁₉	1	1	yes	characteristic, complemented
456	#343	C₂²×C₁₉	1	1	yes	characteristic, complemented
457	#341	C₂²×C₁₉	1	1	yes	characteristic, complemented
458	#341	C₂²×C₁₉	1	1	yes	characteristic, complemented
459	C₂×C₁₉	—	2	1	no	—
460	C₂×C₁₉	—	2	1	no	—
461	C₂×C₁₉	—	4	1	no	—
462	C₂×C₁₉	—	4	1	no	—
463	C₂×C₁₉	—	4	2	no	—
464	C₂×C₁₉	—	8	1	no	—
465	C₂×C₁₉	—	16	1	no	—
466	C₂×C₁₉	#2412	1	1	yes	characteristic
467	C₂×C₁₉	#3067	1	1	yes	characteristic
468	C₂×C₁₉	#3068	1	1	yes	characteristic
469	C₂×#41	—	2	1	no	—
470	C₂×#41	—	2	1	no	—
471	C₂×#41	—	2	2	no	—
472	C₂×#41	—	2	2	no	—
473	C₂×#41	—	4	1	no	—
474	C₂×#41	—	4	1	no	—
475	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
476	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
477	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
478	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
479	C₂²×Q₈	D₄×C₁₉	1	1	yes	characteristic
480	C₂²×D₄	—	2	1	no	—
481	C₂²×D₄	—	2	1	no	—
482	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
483	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
484	C₂³×C₄	—	2	1	no	—
485	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
486	AGL(1,ℤ/8)	—	2	2	no	—
487	AGL(1,ℤ/8)	—	2	2	no	—
488	AGL(1,ℤ/8)	—	4	1	no	—
489	AGL(1,ℤ/8)	—	4	1	no	—
490	C₂×SD₁₆	—	2	1	no	—
491	C₂×SD₁₆	—	2	1	no	—
492	C₂×D₈	—	2	1	no	—
493	C₂×D₈	—	2	1	no	—
494	#131	—	2	2	no	—
495	#131	—	2	2	no	—
496	#131	—	4	1	no	—
497	#131	—	4	1	no	—
498	C₂×M₁₆	—	2	1	no	—
499	C₂×M₁₆	—	2	1	no	—
500	C₂×M₁₆	—	2	1	no	—
501	C₂×M₁₆	—	4	1	no	—
502	C₂×M₁₆	—	4	1	no	—
503	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
504	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
505	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
506	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
507	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
508	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
509	C₂²×C₈	—	2	1	no	—
510	C₂²×C₈	—	2	1	no	—
511	C₂²×C₈	—	2	1	no	—
512	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
513	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
514	#121	—	2	1	no	—
515	#121	—	2	1	no	—
516	#121	—	2	1	no	—
517	#121	—	2	1	no	—
518	#117	—	2	1	no	—
519	#117	—	2	1	no	—
520	#117	—	2	1	no	—
521	#117	—	2	1	no	—
522	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
523	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
524	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
525	C₂×C₂²⋊C₄	—	2	1	no	—
526	C₂×C₂²⋊C₄	—	2	1	no	—
527	C₂×C₄²	—	2	1	no	—
528	#108	—	4	1	no	—
529	#108	—	4	1	no	—
530	#107	—	2	1	no	—
531	#107	—	2	1	no	—
532	#106	—	2	1	no	—
533	#106	—	2	1	no	—
534	#103	—	2	1	no	—
535	#103	—	2	1	no	—
536	#103	—	2	1	no	—
537	#103	—	2	1	no	—
538	#103	—	2	1	no	—
539	#103	—	2	1	no	—
540	#102	—	2	1	no	—
541	#102	—	2	1	no	—
542	#102	—	2	1	no	—
543	#102	—	2	1	no	—
544	#102	—	2	1	no	—
545	#102	—	2	1	no	—
546	#102	—	2	1	no	—
547	#102	—	2	1	no	—
548	#102	—	2	1	no	—
549	#102	—	2	1	no	—
550	#100	—	4	1	no	—
551	#100	—	4	1	no	—
552	C₂²⋊C₈	—	2	1	no	—
553	C₂²⋊C₈	—	2	1	no	—
554	C₂²⋊C₈	—	2	1	no	—
555	C₂²⋊C₈	—	2	1	no	—
556	C₂²⋊C₈	—	2	1	no	—
557	C₂²⋊C₈	—	2	1	no	—
558	C₂²⋊C₈	—	2	1	no	—
559	C₂²⋊C₈	—	2	1	no	—
560	C₂²⋊C₈	D₄×C₁₉	1	1	yes	characteristic
561	C₂²⋊C₈	D₄×C₁₉	1	1	yes	characteristic
562	C₂²⋊C₈	D₄×C₁₉	1	1	yes	characteristic
563	C₂²⋊C₈	D₄×C₁₉	1	1	yes	characteristic
564	C₁₉	#24575	1	1	yes	characteristic, direct product factor, Sylow
565	C₂⁴	—	2	1	no	—
566	C₂⁴	—	2	1	no	—
567	C₂⁴	#41×C₁₉	1	1	yes	characteristic
568	#41	—	2	1	no	—
569	#41	—	2	1	no	—
570	#41	—	2	2	no	—
571	#41	—	2	2	no	—
572	#41	—	2	1	no	—
573	#41	—	2	1	no	—
574	#41	—	2	1	no	—
575	#41	—	2	1	no	—
576	#41	—	4	2	no	—
577	#41	—	4	2	no	—
578	#41	—	4	1	no	—
579	#41	—	4	1	no	—
580	#41	—	4	2	no	—
581	#41	—	4	2	no	—
582	#41	#41×C₁₉	1	2	yes	—
583	#41	#41×C₁₉	1	2	yes	—
584	C₂×Q₈	—	2	1	no	—
585	C₂×Q₈	—	2	2	no	—
586	C₂×Q₈	—	4	1	no	—
587	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
588	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
589	C₂×D₄	—	2	1	no	—
590	C₂×D₄	—	2	2	no	—
591	C₂×D₄	—	2	1	no	—
592	C₂×D₄	—	2	1	no	—
593	C₂×D₄	—	2	1	no	—
594	C₂×D₄	—	2	1	no	—
595	C₂×D₄	—	2	1	no	—
596	C₂×D₄	—	2	1	no	—
597	C₂×D₄	—	2	1	no	—
598	C₂×D₄	—	2	1	no	—
599	C₂×D₄	—	2	1	no	—
600	C₂×D₄	—	2	1	no	—
601	C₂×D₄	—	4	1	no	—
602	C₂×D₄	—	4	2	no	—
603	C₂×D₄	—	4	2	no	—
604	C₂×D₄	—	4	1	no	—
605	C₂×D₄	—	4	1	no	—
606	C₂×D₄	—	8	2	no	—
607	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
608	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
609	C₂²×C₄	—	2	1	no	—
610	C₂²×C₄	—	2	1	no	—
611	C₂²×C₄	—	2	1	no	—
612	C₂²×C₄	—	2	1	no	—
613	C₂²×C₄	—	2	1	no	—
614	C₂²×C₄	—	2	1	no	—
615	C₂²×C₄	—	2	1	no	—
616	C₂²×C₄	—	2	1	no	—
617	C₂²×C₄	—	2	1	no	—
618	C₂²×C₄	—	2	1	no	—
619	C₂²×C₄	—	2	1	no	—
620	C₂²×C₄	—	2	1	no	—
621	C₂²×C₄	—	4	2	no	—
622	C₂²×C₄	—	4	2	no	—
623	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
624	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
625	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
626	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
627	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
628	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
629	SD₁₆	—	4	2	no	—
630	SD₁₆	—	4	2	no	—
631	D₈	—	4	2	no	—
632	D₈	—	4	2	no	—
633	M₁₆	—	2	1	no	—
634	M₁₆	—	2	1	no	—
635	M₁₆	—	2	1	no	—
636	M₁₆	—	2	1	no	—
637	M₁₆	—	2	1	no	—
638	M₁₆	—	2	1	no	—
639	M₁₆	—	2	1	no	—
640	M₁₆	—	2	1	no	—
641	M₁₆	—	2	1	no	—
642	M₁₆	—	2	1	no	—
643	M₁₆	—	2	1	no	—
644	M₁₆	—	2	1	no	—
645	M₁₆	—	4	2	no	—
646	M₁₆	—	4	2	no	—
647	M₁₆	—	4	2	no	—
648	C₂×C₈	—	2	1	no	—
649	C₂×C₈	—	2	1	no	—
650	C₂×C₈	—	2	1	no	—
651	C₂×C₈	—	2	1	no	—
652	C₂×C₈	—	2	1	no	—
653	C₂×C₈	—	2	1	no	—
654	C₂×C₈	—	2	1	no	—
655	C₂×C₈	—	2	1	no	—
656	C₂×C₈	—	2	1	no	—
657	C₂×C₈	—	2	1	no	—
658	C₂×C₈	—	4	2	no	—
659	C₂×C₈	—	4	2	no	—
660	C₂×C₈	—	4	2	no	—
661	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
662	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
663	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
664	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
665	C₄⋊C₄	—	2	1	no	—
666	C₄⋊C₄	—	2	1	no	—
667	C₄⋊C₄	—	2	1	no	—
668	C₄⋊C₄	—	2	1	no	—
669	C₄⋊C₄	—	2	1	no	—
670	C₄⋊C₄	—	2	1	no	—
671	C₂²⋊C₄	—	4	1	no	—
672	C₂²⋊C₄	—	4	1	no	—
673	C₂²⋊C₄	—	4	1	no	—
674	C₂²⋊C₄	—	4	1	no	—
675	C₄²	—	4	1	no	—
676	C₄²	—	4	1	no	—
677	C₂³	—	2	1	no	—
678	C₂³	—	2	1	no	—
679	C₂³	—	2	1	no	—
680	C₂³	—	2	1	no	—
681	C₂³	—	4	1	no	—
682	C₂³	—	4	1	no	—
683	C₂³	—	4	2	no	—
684	C₂³	—	4	2	no	—
685	C₂³	—	4	1	no	—
686	C₂³	—	4	1	no	—
687	C₂³	—	4	1	no	—
688	C₂³	—	8	1	no	—
689	C₂³	—	8	1	no	—
690	C₂³	—	8	1	no	—
691	C₂³	C₁₉×#121	1	1	yes	characteristic
692	C₂³	C₁₉×#121	1	1	yes	characteristic
693	C₂³	C₂×#41×C₁₉	1	1	yes	characteristic
694	Q₈	—	2	1	no	—
695	Q₈	—	2	1	no	—
696	Q₈	—	2	1	no	—
697	Q₈	—	4	2	no	—
698	Q₈	C₁₉×#123	1	2	yes	—
699	D₄	—	2	2	no	—
700	D₄	—	2	2	no	—
701	D₄	—	2	1	no	—
702	D₄	—	2	1	no	—
703	D₄	—	2	1	no	—
704	D₄	—	4	2	no	—
705	D₄	—	4	2	no	—
706	D₄	—	4	2	no	—
707	D₄	—	4	1	no	—
708	D₄	—	4	1	no	—
709	D₄	—	4	1	no	—
710	D₄	—	4	1	no	—
711	D₄	—	4	1	no	—
712	D₄	—	4	1	no	—
713	D₄	—	8	2	no	—
714	D₄	—	8	2	no	—
715	D₄	C₁₉×#123	1	2	yes	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	2	1	no	—
723	C₂×C₄	—	2	2	no	—
724	C₂×C₄	—	2	2	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	1	no	—
730	C₂×C₄	—	4	2	no	—
731	C₂×C₄	—	4	2	no	—
732	C₂×C₄	—	4	2	no	—
733	C₂×C₄	—	4	1	no	—
734	C₂×C₄	—	4	1	no	—
735	C₂×C₄	—	4	1	no	—
736	C₂×C₄	—	4	1	no	—
737	C₂×C₄	—	4	1	no	—
738	C₂×C₄	—	8	1	no	—
739	C₂×C₄	—	8	1	no	—
740	C₂×C₄	—	8	1	no	—
741	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
742	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
743	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
744	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
745	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
746	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
747	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
748	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
749	C₈	—	2	1	no	—
750	C₈	—	2	1	no	—
751	C₈	—	2	1	no	—
752	C₈	—	2	1	no	—
753	C₈	—	4	1	no	—
754	C₈	—	4	1	no	—
755	C₈	—	4	1	no	—
756	C₈	—	4	1	no	—
757	C₈	—	4	1	no	—
758	C₈	—	4	1	no	—
759	C₂²	—	2	1	no	—
760	C₂²	—	2	1	no	—
761	C₂²	—	2	1	no	—
762	C₂²	—	2	1	no	—
763	C₂²	—	2	2	no	—
764	C₂²	—	2	1	no	—
765	C₂²	—	2	1	no	—
766	C₂²	—	2	1	no	—
767	C₂²	—	2	1	no	—
768	C₂²	—	4	1	no	—
769	C₂²	—	4	1	no	—
770	C₂²	—	4	1	no	—
771	C₂²	—	4	1	no	—
772	C₂²	—	4	1	no	—
773	C₂²	—	8	1	no	—
774	C₂²	—	8	1	no	—
775	C₂²	—	8	4	no	—
776	C₂²	—	8	1	no	—
777	C₂²	—	8	1	no	—
778	C₂²	—	8	1	no	—
779	C₂²	—	16	1	no	—
780	C₂²	—	16	1	no	—
781	C₂²	C₂×C₁₉×#121	1	1	yes	characteristic
782	C₂²	C₁₉×#551	1	1	yes	characteristic
783	C₂²	C₁₉×#551	1	1	yes	characteristic
784	C₄	—	2	1	no	—
785	C₄	—	2	1	no	—
786	C₄	—	2	2	no	—
787	C₄	—	4	1	no	—
788	C₄	—	8	1	no	—
789	C₄	—	8	1	no	—
790	C₄	—	8	1	no	—
791	C₄	C₂×C₁₉×#123	1	1	yes	characteristic
792	C₄	C₁₉×#534	1	1	yes	characteristic
793	C₄	C₁₉×#546	1	1	yes	characteristic
794	C₄	C₁₉×#546	1	1	yes	characteristic
795	C₂	—	2	1	no	—
796	C₂	—	2	1	no	—
797	C₂	—	4	1	no	—
798	C₂	—	4	1	no	—
799	C₂	—	4	2	no	—
800	C₂	—	8	1	no	—
801	C₂	—	16	1	no	—
802	C₂	C₁₉×#2412	1	1	yes	characteristic
803	C₂	C₁₉×#3067	1	1	yes	characteristic
804	C₂	C₁₉×#3068	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#121
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₁₉×#3006	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂³×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₉×#482	C₂	semidirect
3. C₁₉×#2896	C₂	semidirect
4. C₁₉×#2880	C₂	semidirect
5. C₁₉×#2079	C₂	semidirect
6. C₁₉×#2078	C₂	semidirect
7. C₁₉×#2051	C₂	semidirect
8. C₁₉×#2051	C₂	semidirect
9. C₁₉×#1907	C₂	semidirect
10. C₁₉×#1907	C₂	semidirect
11. C₁₉×#1900	C₂	semidirect
12. C₁₉×#1855	C₂	semidirect
13. C₁₉×#1822	C₂	semidirect
14. C₁₉×#1816	C₂	semidirect
15. C₁₉×#1815	C₂	semidirect
32. C₂×C₁₉×#108	C₂²	semidirect
33. C₂×C₁₉×#108	C₂²	semidirect
34. C₂×C₁₉×#107	C₂²	semidirect
35. C₂×C₁₉×#106	C₂²	semidirect
46. C₂×C₁₉×#102	C₂²	semidirect
47. C₂×C₁₉×#102	C₂²	semidirect
48. C₂×C₁₉×#100	C₂²	semidirect
49. C₂×C₁₉×#100	C₂²	semidirect
59. C₁₉×#343	C₂²	semidirect
60. C₁₉×#343	C₂²	semidirect
61. C₁₉×#343	C₂²	semidirect
62. C₁₉×#343	C₂²	semidirect
63. C₁₉×#343	C₂²	semidirect
64. C₁₉×#343	C₂²	semidirect
65. C₁₉×#341	C₂²	semidirect
66. C₁₉×#341	C₂²	semidirect
274. #24575	C₁₉	direct (N × H)
357. C₂×#482	C₂×C₁₉	semidirect
359. #2896	C₂×C₁₉	semidirect
360. #2880	C₂×C₁₉	semidirect
361. #2079	C₂×C₁₉	semidirect
362. #2078	C₂×C₁₉	semidirect
363. #2051	C₂×C₁₉	semidirect
364. #2051	C₂×C₁₉	semidirect
365. #1907	C₂×C₁₉	semidirect
366. #1907	C₂×C₁₉	semidirect
367. #1900	C₂×C₁₉	semidirect
368. #1855	C₂×C₁₉	semidirect
369. #1822	C₂×C₁₉	semidirect
370. #1816	C₂×C₁₉	semidirect
371. #1815	C₂×C₁₉	semidirect
424. C₂×#108	C₂²×C₁₉	semidirect
425. C₂×#108	C₂²×C₁₉	semidirect
426. C₂×#107	C₂²×C₁₉	semidirect
427. C₂×#106	C₂²×C₁₉	semidirect
438. C₂×#102	C₂²×C₁₉	semidirect
439. C₂×#102	C₂²×C₁₉	semidirect
440. C₂×#100	C₂²×C₁₉	semidirect
441. C₂×#100	C₂²×C₁₉	semidirect
451. #343	C₂²×C₁₉	semidirect
452. #343	C₂²×C₁₉	semidirect
453. #343	C₂²×C₁₉	semidirect
454. #343	C₂²×C₁₉	semidirect
455. #343	C₂²×C₁₉	semidirect
456. #343	C₂²×C₁₉	semidirect
457. #341	C₂²×C₁₉	semidirect
458. #341	C₂²×C₁₉	semidirect
564. C₁₉	#24575	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×#482	2
C₁₉×#3006	2
C₁₉×#2896	2
C₁₉×#2880	2
C₁₉×#2079	2
C₁₉×#2078	2
C₁₉×#2051	2
C₁₉×#1907	2
C₁₉×#1900	2
C₁₉×#1855	2
C₁₉×#1822	2
C₁₉×#1816	2
C₁₉×#1815	2
#24575	19

Subgroups — C19×#24575 #18030534

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#24575 #18030534