Subgroups — C₁₉×#25193 #18031152

Order 4864.

1004 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3062	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3045	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₉×#454	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3013	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₉×#444	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#2898	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#2064	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#2051	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#2039	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#2004	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#1959	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#1938	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#1908	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#1907	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#1859	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
19	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
20	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
21	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
22	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
23	C₁₉×#537	C₂²	1	1	yes	characteristic
24	C₁₉×#535	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×#124	C₂²	1	1	yes	characteristic
26	C₁₉×#520	C₂²	1	1	yes	characteristic
27	C₁₉×#469	—	2	1	no	—
28	C₁₉×#468	—	2	1	no	—
29	C₁₉×#466	—	2	1	no	—
30	C₁₉×#465	—	2	1	no	—
31	C₁₉×#464	—	2	1	no	—
32	C₁₉×#463	—	2	1	no	—
33	C₁₉×#460	—	2	1	no	—
34	C₁₉×#459	—	2	1	no	—
35	C₁₉×#454	—	2	4	no	—
36	C₁₉×#452	—	2	1	no	—
37	C₁₉×#451	—	2	1	no	—
38	C₁₉×#449	—	2	1	no	—
39	C₁₉×#448	—	2	1	no	—
40	C₁₉×#444	—	2	4	no	—
41	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
42	C₁₉×#428	C₂²	1	1	yes	characteristic
43	C₁₉×#424	C₂²	1	1	yes	characteristic
44	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
45	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
46	C₂×C₁₉×#104	C₂²	1	1	yes	characteristic
47	C₁₉×#419	—	2	1	no	—
48	C₁₉×#419	C₂²	1	1	yes	characteristic
49	C₁₉×#417	—	2	1	no	—
50	C₁₉×#417	C₂²	1	1	yes	characteristic
51	C₁₉×#417	C₂²	1	1	yes	characteristic
52	C₁₉×#417	C₂²	1	1	yes	characteristic
53	C₁₉×#416	—	2	1	no	—
54	C₁₉×#416	C₂²	1	1	yes	characteristic
55	C₂×C₁₉×#103	—	2	1	no	—
56	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
57	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic
58	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
59	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic
60	C₂×C₁₉×#101	C₂²	1	1	yes	characteristic
61	C₂×C₁₉×#100	C₂²	1	1	yes	characteristic
62	C₁₉×#408	C₂²	1	1	yes	characteristic
63	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
64	C₁₉×#384	C₂²	1	1	yes	characteristic
65	C₁₉×#343	C₂²	1	1	yes	characteristic
66	C₁₉×#343	C₂²	1	1	yes	characteristic
67	C₁₉×#341	C₂²	1	1	yes	characteristic
68	C₁₉×#339	C₂²	1	1	yes	characteristic
69	C₁₉×2₋¹⁺⁴	—	2	2	no	—
70	C₁₉×2₋¹⁺⁴	—	2	2	no	—
71	C₁₉×2₋¹⁺⁴	—	2	2	no	—
72	C₁₉×2₋¹⁺⁴	—	4	1	no	—
73	C₂×#41×C₁₉	—	2	1	no	—
74	C₂×#41×C₁₉	—	2	1	no	—
75	C₂×#41×C₁₉	—	4	1	no	—
76	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
77	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
78	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
79	C₂²×Q₈×C₁₉	—	2	1	no	—
80	C₂²×Q₈×C₁₉	—	2	1	no	—
81	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
82	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
83	C₁₉×#137	—	2	2	no	—
84	C₁₉×#137	—	4	1	no	—
85	C₁₉×AGL(1,ℤ/8)	—	2	2	no	—
86	C₁₉×AGL(1,ℤ/8)	—	2	2	no	—
87	C₁₉×AGL(1,ℤ/8)	—	2	2	no	—
88	C₁₉×AGL(1,ℤ/8)	—	4	1	no	—
89	C₁₉×#135	—	2	2	no	—
90	C₁₉×#135	—	2	2	no	—
91	C₂×Q₁₆×C₁₉	—	2	1	no	—
92	C₂×Q₁₆×C₁₉	D₄	1	1	yes	characteristic
93	C₂×SD₁₆×C₁₉	—	2	1	no	—
94	C₂×SD₁₆×C₁₉	—	2	1	no	—
95	C₂×SD₁₆×C₁₉	—	2	1	no	—
96	C₂×SD₁₆×C₁₉	D₄	1	1	yes	characteristic
97	C₂×SD₁₆×C₁₉	D₄	1	1	yes	characteristic
98	C₂×D₈×C₁₉	—	2	1	no	—
99	C₂×D₈×C₁₉	—	2	1	no	—
100	C₂×D₈×C₁₉	D₄	1	1	yes	characteristic
101	C₁₉×#131	—	2	2	no	—
102	C₁₉×#131	—	2	2	no	—
103	C₁₉×#131	—	4	1	no	—
104	C₁₉×#131	—	4	1	no	—
105	C₂×M₁₆×C₁₉	—	2	1	no	—
106	C₂×M₁₆×C₁₉	—	2	1	no	—
107	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
108	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
109	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
110	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
111	C₂²×C₈×C₁₉	—	2	1	no	—
112	C₂²×C₈×C₁₉	—	2	1	no	—
113	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
114	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
115	C₁₉×#127	—	2	1	no	—
116	C₁₉×#124	—	2	1	no	—
117	C₁₉×#124	—	2	2	no	—
118	C₁₉×#124	—	2	2	no	—
119	C₁₉×C₂²⋊Q₈	—	2	1	no	—
120	C₁₉×C₂²⋊Q₈	—	2	1	no	—
121	C₁₉×#121	—	2	1	no	—
122	C₁₉×#121	—	2	1	no	—
123	C₁₉×#121	—	2	1	no	—
124	C₁₉×#121	—	2	1	no	—
125	C₁₉×#121	—	4	1	no	—
126	C₁₉×#120	—	4	1	no	—
127	C₄×Q₈×C₁₉	—	2	1	no	—
128	C₄×D₄×C₁₉	—	2	1	no	—
129	C₄×D₄×C₁₉	—	4	1	no	—
130	C₁₉×#117	—	2	1	no	—
131	C₁₉×#117	C₂³	1	1	yes	characteristic
132	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
133	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
134	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
135	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
136	C₂×C₂²⋊C₄×C₁₉	—	4	1	no	—
137	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
138	C₁₉×#108	—	2	2	no	—
139	C₁₉×#107	—	2	1	no	—
140	C₁₉×#106	—	2	1	no	—
141	C₁₉×C₄⋊C₈	—	2	1	no	—
142	C₁₉×C₄⋊C₈	—	2	1	no	—
143	C₁₉×#104	—	2	2	no	—
144	C₁₉×#104	—	2	2	no	—
145	C₁₉×#104	D₄	1	4	yes	complemented
146	C₁₉×#103	—	2	1	no	—
147	C₁₉×#103	—	2	1	no	—
148	C₁₉×#103	—	2	1	no	—
149	C₁₉×#103	—	2	1	no	—
150	C₁₉×#103	—	2	1	no	—
151	C₁₉×#103	—	2	1	no	—
152	C₁₉×#103	—	2	1	no	—
153	C₁₉×#103	—	2	1	no	—
154	C₁₉×#103	—	2	1	no	—
155	C₁₉×#103	D₄	1	1	yes	characteristic
156	C₁₉×#103	D₄	1	1	yes	characteristic
157	C₁₉×#102	—	2	1	no	—
158	C₁₉×#102	—	2	1	no	—
159	C₁₉×#102	—	2	1	no	—
160	C₁₉×#102	—	2	1	no	—
161	C₁₉×#102	—	2	1	no	—
162	C₁₉×#102	—	2	1	no	—
163	C₁₉×#102	—	2	1	no	—
164	C₁₉×#102	D₄	1	1	yes	characteristic
165	C₁₉×#102	D₄	1	1	yes	characteristic
166	C₁₉×#101	—	2	2	no	—
167	C₁₉×#100	—	4	1	no	—
168	C₁₉×C₂²⋊C₈	—	2	1	no	—
169	C₁₉×C₂²⋊C₈	—	2	1	no	—
170	C₁₉×#97	—	2	2	no	—
171	C₂⁴×C₁₉	—	2	1	no	—
172	#41×C₁₉	—	2	1	no	—
173	#41×C₁₉	—	2	1	no	—
174	#41×C₁₉	—	2	4	no	—
175	#41×C₁₉	—	2	1	no	—
176	#41×C₁₉	—	2	1	no	—
177	#41×C₁₉	—	2	1	no	—
178	#41×C₁₉	—	2	1	no	—
179	#41×C₁₉	—	2	1	no	—
180	#41×C₁₉	—	2	1	no	—
181	#41×C₁₉	—	2	1	no	—
182	#41×C₁₉	—	2	1	no	—
183	#41×C₁₉	—	4	2	no	—
184	#41×C₁₉	—	4	4	no	—
185	#41×C₁₉	—	4	2	no	—
186	#41×C₁₉	—	4	4	no	—
187	#41×C₁₉	—	4	2	no	—
188	#41×C₁₉	C₂×D₄	1	2	yes	—
189	#41×C₁₉	#41	1	2	yes	—
190	C₂×Q₈×C₁₉	—	2	1	no	—
191	C₂×Q₈×C₁₉	—	2	4	no	—
192	C₂×Q₈×C₁₉	—	2	1	no	—
193	C₂×Q₈×C₁₉	—	2	1	no	—
194	C₂×Q₈×C₁₉	—	2	1	no	—
195	C₂×Q₈×C₁₉	—	2	1	no	—
196	C₂×Q₈×C₁₉	—	4	1	no	—
197	C₂×Q₈×C₁₉	—	4	2	no	—
198	C₂×Q₈×C₁₉	—	4	2	no	—
199	C₂×Q₈×C₁₉	—	4	2	no	—
200	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
201	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
202	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
203	C₂×Q₈×C₁₉	#41	1	2	yes	—
204	C₂×D₄×C₁₉	—	2	1	no	—
205	C₂×D₄×C₁₉	—	2	1	no	—
206	C₂×D₄×C₁₉	—	2	1	no	—
207	C₂×D₄×C₁₉	—	2	1	no	—
208	C₂×D₄×C₁₉	—	2	1	no	—
209	C₂×D₄×C₁₉	—	2	1	no	—
210	C₂×D₄×C₁₉	—	2	1	no	—
211	C₂×D₄×C₁₉	—	2	1	no	—
212	C₂×D₄×C₁₉	—	2	1	no	—
213	C₂×D₄×C₁₉	—	4	1	no	—
214	C₂×D₄×C₁₉	—	4	1	no	—
215	C₂×D₄×C₁₉	—	4	1	no	—
216	C₂×D₄×C₁₉	—	4	1	no	—
217	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
218	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
219	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
220	C₂²×C₄×C₁₉	—	2	1	no	—
221	C₂²×C₄×C₁₉	—	2	1	no	—
222	C₂²×C₄×C₁₉	—	2	1	no	—
223	C₂²×C₄×C₁₉	—	2	1	no	—
224	C₂²×C₄×C₁₉	—	2	1	no	—
225	C₂²×C₄×C₁₉	—	2	1	no	—
226	C₂²×C₄×C₁₉	—	2	1	no	—
227	C₂²×C₄×C₁₉	—	4	1	no	—
228	C₂²×C₄×C₁₉	—	4	1	no	—
229	C₂²×C₄×C₁₉	—	4	1	no	—
230	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
231	Q₁₆×C₁₉	—	2	2	no	—
232	Q₁₆×C₁₉	—	4	2	no	—
233	SD₁₆×C₁₉	—	2	2	no	—
234	SD₁₆×C₁₉	—	2	2	no	—
235	SD₁₆×C₁₉	—	4	2	no	—
236	SD₁₆×C₁₉	—	4	2	no	—
237	SD₁₆×C₁₉	—	4	2	no	—
238	D₈×C₁₉	—	2	2	no	—
239	D₈×C₁₉	—	4	2	no	—
240	D₈×C₁₉	—	4	2	no	—
241	M₁₆×C₁₉	—	2	1	no	—
242	M₁₆×C₁₉	—	2	1	no	—
243	M₁₆×C₁₉	—	2	1	no	—
244	M₁₆×C₁₉	—	2	1	no	—
245	M₁₆×C₁₉	—	2	1	no	—
246	M₁₆×C₁₉	—	2	1	no	—
247	M₁₆×C₁₉	—	2	1	no	—
248	M₁₆×C₁₉	—	4	2	no	—
249	M₁₆×C₁₉	—	4	2	no	—
250	M₁₆×C₁₉	C₂×D₄	1	2	yes	—
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	—	2	1	no	—
256	C₂×C₈×C₁₉	—	2	1	no	—
257	C₂×C₈×C₁₉	—	2	1	no	—
258	C₂×C₈×C₁₉	—	2	1	no	—
259	C₂×C₈×C₁₉	—	4	2	no	—
260	C₂×C₈×C₁₉	—	4	2	no	—
261	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
262	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
263	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
264	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
265	C₄⋊C₄×C₁₉	—	2	1	no	—
266	C₄⋊C₄×C₁₉	—	2	1	no	—
267	C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₄⋊C₄×C₁₉	—	2	1	no	—
269	C₄⋊C₄×C₁₉	—	4	1	no	—
270	C₄⋊C₄×C₁₉	—	4	1	no	—
271	C₄⋊C₄×C₁₉	—	8	2	no	—
272	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
273	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
274	C₂²⋊C₄×C₁₉	—	2	1	no	—
275	C₂²⋊C₄×C₁₉	—	4	4	no	—
276	C₂²⋊C₄×C₁₉	—	4	1	no	—
277	C₂²⋊C₄×C₁₉	—	4	1	no	—
278	C₂²⋊C₄×C₁₉	—	4	1	no	—
279	C₂²⋊C₄×C₁₉	—	4	1	no	—
280	C₂²⋊C₄×C₁₉	—	4	1	no	—
281	C₄²×C₁₉	—	2	1	no	—
282	C₄²×C₁₉	—	2	1	no	—
283	C₄²×C₁₉	—	4	1	no	—
284	C₄²×C₁₉	C₂×D₄	1	2	yes	—
285	#25193	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
286	C₂³×C₁₉	—	2	1	no	—
287	C₂³×C₁₉	—	2	1	no	—
288	C₂³×C₁₉	—	2	1	no	—
289	C₂³×C₁₉	—	4	1	no	—
290	C₂³×C₁₉	—	4	1	no	—
291	C₂³×C₁₉	—	4	1	no	—
292	C₂³×C₁₉	—	8	1	no	—
293	C₂³×C₁₉	—	8	1	no	—
294	C₂³×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
295	Q₈×C₁₉	—	2	1	no	—
296	Q₈×C₁₉	—	2	1	no	—
297	Q₈×C₁₉	—	2	1	no	—
298	Q₈×C₁₉	—	2	2	no	—
299	Q₈×C₁₉	—	2	1	no	—
300	Q₈×C₁₉	—	2	2	no	—
301	Q₈×C₁₉	—	2	1	no	—
302	Q₈×C₁₉	—	4	4	no	—
303	Q₈×C₁₉	—	4	1	no	—
304	Q₈×C₁₉	—	4	1	no	—
305	Q₈×C₁₉	#121	1	2	yes	—
306	D₄×C₁₉	—	2	2	no	—
307	D₄×C₁₉	—	2	2	no	—
308	D₄×C₁₉	—	2	1	no	—
309	D₄×C₁₉	—	2	1	no	—
310	D₄×C₁₉	—	2	1	no	—
311	D₄×C₁₉	—	2	1	no	—
312	D₄×C₁₉	—	2	1	no	—
313	D₄×C₁₉	—	4	4	no	—
314	D₄×C₁₉	—	4	1	no	—
315	D₄×C₁₉	—	4	1	no	—
316	D₄×C₁₉	—	4	1	no	—
317	D₄×C₁₉	—	4	1	no	—
318	D₄×C₁₉	—	4	1	no	—
319	D₄×C₁₉	—	4	1	no	—
320	D₄×C₁₉	—	4	1	no	—
321	D₄×C₁₉	—	4	1	no	—
322	D₄×C₁₉	—	16	1	no	—
323	D₄×C₁₉	—	16	1	no	—
324	D₄×C₁₉	—	16	1	no	—
325	D₄×C₁₉	#121	1	2	yes	—
326	C₂×C₄×C₁₉	—	2	1	no	—
327	C₂×C₄×C₁₉	—	2	2	no	—
328	C₂×C₄×C₁₉	—	2	2	no	—
329	C₂×C₄×C₁₉	—	2	1	no	—
330	C₂×C₄×C₁₉	—	2	1	no	—
331	C₂×C₄×C₁₉	—	2	1	no	—
332	C₂×C₄×C₁₉	—	2	1	no	—
333	C₂×C₄×C₁₉	—	2	2	no	—
334	C₂×C₄×C₁₉	—	2	2	no	—
335	C₂×C₄×C₁₉	—	4	4	no	—
336	C₂×C₄×C₁₉	—	4	1	no	—
337	C₂×C₄×C₁₉	—	4	1	no	—
338	C₂×C₄×C₁₉	—	4	4	no	—
339	C₂×C₄×C₁₉	—	4	1	no	—
340	C₂×C₄×C₁₉	—	4	1	no	—
341	C₂×C₄×C₁₉	—	4	1	no	—
342	C₂×C₄×C₁₉	—	4	1	no	—
343	C₂×C₄×C₁₉	—	4	1	no	—
344	C₂×C₄×C₁₉	—	4	1	no	—
345	C₂×C₄×C₁₉	—	4	1	no	—
346	C₂×C₄×C₁₉	—	4	1	no	—
347	C₂×C₄×C₁₉	—	8	1	no	—
348	C₂×C₄×C₁₉	—	8	1	no	—
349	C₂×C₄×C₁₉	—	16	1	no	—
350	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
351	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
352	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
353	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
354	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
355	C₂×C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
356	C₈×C₁₉	—	2	1	no	—
357	C₈×C₁₉	—	2	1	no	—
358	C₈×C₁₉	—	2	1	no	—
359	C₈×C₁₉	—	2	1	no	—
360	C₈×C₁₉	—	2	2	no	—
361	C₈×C₁₉	—	4	1	no	—
362	C₈×C₁₉	—	4	1	no	—
363	C₈×C₁₉	—	4	1	no	—
364	#3062	C₂×C₁₉	1	1	yes	characteristic, complemented
365	#3045	C₂×C₁₉	1	1	yes	characteristic, complemented
366	C₂×#454	C₂×C₁₉	1	1	yes	characteristic, complemented
367	#3013	C₂×C₁₉	1	1	yes	characteristic, complemented
368	C₂×#444	C₂×C₁₉	1	1	yes	characteristic, complemented
369	#2898	C₂×C₁₉	1	1	yes	characteristic, complemented
370	#2064	C₂×C₁₉	1	1	yes	characteristic, complemented
371	#2051	C₂×C₁₉	1	1	yes	characteristic, complemented
372	#2039	C₂×C₁₉	1	1	yes	characteristic, complemented
373	#2004	C₂×C₁₉	1	1	yes	characteristic, complemented
374	#1959	C₂×C₁₉	1	1	yes	characteristic, complemented
375	#1938	C₂×C₁₉	1	1	yes	characteristic, complemented
376	#1908	C₂×C₁₉	1	1	yes	characteristic, complemented
377	#1907	C₂×C₁₉	1	1	yes	characteristic, complemented
378	#1859	C₂×C₁₉	1	1	yes	characteristic, complemented
379	C₂²×C₁₉	—	2	1	no	—
380	C₂²×C₁₉	—	2	1	no	—
381	C₂²×C₁₉	—	2	2	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	—	4	1	no	—
387	C₂²×C₁₉	—	4	1	no	—
388	C₂²×C₁₉	—	4	1	no	—
389	C₂²×C₁₉	—	4	1	no	—
390	C₂²×C₁₉	—	8	2	no	—
391	C₂²×C₁₉	—	8	1	no	—
392	C₂²×C₁₉	—	8	1	no	—
393	C₂²×C₁₉	—	8	1	no	—
394	C₂²×C₁₉	—	16	1	no	—
395	C₂²×C₁₉	#538	1	1	yes	characteristic
396	C₂²×C₁₉	D₄²	1	1	yes	characteristic
397	C₂²×C₁₉	#546	1	1	yes	characteristic
398	C₄×C₁₉	—	2	2	no	—
399	C₄×C₁₉	—	4	2	no	—
400	C₄×C₁₉	—	4	1	no	—
401	C₄×C₁₉	—	4	2	no	—
402	C₄×C₁₉	—	4	1	no	—
403	C₄×C₁₉	—	4	1	no	—
404	C₄×C₁₉	—	4	1	no	—
405	C₄×C₁₉	—	8	1	no	—
406	C₄×C₁₉	—	8	1	no	—
407	C₄×C₁₉	C₂×#121	1	1	yes	characteristic
408	C₄×C₁₉	#525	1	1	yes	characteristic
409	C₄×C₁₉	D₄²	1	1	yes	characteristic
410	C₄×C₁₉	#546	1	1	yes	characteristic
411	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	1	yes	characteristic
412	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic
413	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic
414	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic
415	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
416	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
417	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
418	#537	C₂²×C₁₉	1	1	yes	characteristic
419	#535	C₂²×C₁₉	1	1	yes	characteristic
420	C₂×#124	C₂²×C₁₉	1	1	yes	characteristic
421	#520	C₂²×C₁₉	1	1	yes	characteristic
422	#469	—	2	1	no	—
423	#468	—	2	1	no	—
424	#466	—	2	1	no	—
425	#465	—	2	1	no	—
426	#464	—	2	1	no	—
427	#463	—	2	1	no	—
428	#460	—	2	1	no	—
429	#459	—	2	1	no	—
430	#454	—	2	4	no	—
431	#452	—	2	1	no	—
432	#451	—	2	1	no	—
433	#449	—	2	1	no	—
434	#448	—	2	1	no	—
435	#444	—	2	4	no	—
436	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
437	#428	C₂²×C₁₉	1	1	yes	characteristic
438	#424	C₂²×C₁₉	1	1	yes	characteristic
439	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
440	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
441	C₂×#104	C₂²×C₁₉	1	1	yes	characteristic
442	#419	—	2	1	no	—
443	#419	C₂²×C₁₉	1	1	yes	characteristic
444	#417	—	2	1	no	—
445	#417	C₂²×C₁₉	1	1	yes	characteristic
446	#417	C₂²×C₁₉	1	1	yes	characteristic
447	#417	C₂²×C₁₉	1	1	yes	characteristic
448	#416	—	2	1	no	—
449	#416	C₂²×C₁₉	1	1	yes	characteristic
450	C₂×#103	—	2	1	no	—
451	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
452	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic
453	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
454	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic
455	C₂×#101	C₂²×C₁₉	1	1	yes	characteristic
456	C₂×#100	C₂²×C₁₉	1	1	yes	characteristic
457	#408	C₂²×C₁₉	1	1	yes	characteristic
458	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
459	#384	C₂²×C₁₉	1	1	yes	characteristic
460	#343	C₂²×C₁₉	1	1	yes	characteristic
461	#343	C₂²×C₁₉	1	1	yes	characteristic
462	#341	C₂²×C₁₉	1	1	yes	characteristic
463	#339	C₂²×C₁₉	1	1	yes	characteristic
464	C₂×C₁₉	—	2	1	no	—
465	C₂×C₁₉	—	2	1	no	—
466	C₂×C₁₉	—	4	2	no	—
467	C₂×C₁₉	—	8	1	no	—
468	C₂×C₁₉	—	8	1	no	—
469	C₂×C₁₉	—	16	1	no	—
470	C₂×C₁₉	#2424	1	1	yes	characteristic
471	C₂×C₁₉	#3288	1	1	yes	characteristic
472	C₂×C₁₉	#3289	1	1	yes	characteristic
473	2₋¹⁺⁴	—	2	2	no	—
474	2₋¹⁺⁴	—	2	2	no	—
475	2₋¹⁺⁴	—	2	2	no	—
476	2₋¹⁺⁴	—	4	1	no	—
477	C₂×#41	—	2	1	no	—
478	C₂×#41	—	2	1	no	—
479	C₂×#41	—	4	1	no	—
480	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
481	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
482	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
483	C₂²×Q₈	—	2	1	no	—
484	C₂²×Q₈	—	2	1	no	—
485	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
486	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
487	#137	—	2	2	no	—
488	#137	—	4	1	no	—
489	AGL(1,ℤ/8)	—	2	2	no	—
490	AGL(1,ℤ/8)	—	2	2	no	—
491	AGL(1,ℤ/8)	—	2	2	no	—
492	AGL(1,ℤ/8)	—	4	1	no	—
493	#135	—	2	2	no	—
494	#135	—	2	2	no	—
495	C₂×Q₁₆	—	2	1	no	—
496	C₂×Q₁₆	D₄×C₁₉	1	1	yes	characteristic
497	C₂×SD₁₆	—	2	1	no	—
498	C₂×SD₁₆	—	2	1	no	—
499	C₂×SD₁₆	—	2	1	no	—
500	C₂×SD₁₆	D₄×C₁₉	1	1	yes	characteristic
501	C₂×SD₁₆	D₄×C₁₉	1	1	yes	characteristic
502	C₂×D₈	—	2	1	no	—
503	C₂×D₈	—	2	1	no	—
504	C₂×D₈	D₄×C₁₉	1	1	yes	characteristic
505	#131	—	2	2	no	—
506	#131	—	2	2	no	—
507	#131	—	4	1	no	—
508	#131	—	4	1	no	—
509	C₂×M₁₆	—	2	1	no	—
510	C₂×M₁₆	—	2	1	no	—
511	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
512	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
513	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
514	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
515	C₂²×C₈	—	2	1	no	—
516	C₂²×C₈	—	2	1	no	—
517	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
518	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
519	#127	—	2	1	no	—
520	#124	—	2	1	no	—
521	#124	—	2	2	no	—
522	#124	—	2	2	no	—
523	C₂²⋊Q₈	—	2	1	no	—
524	C₂²⋊Q₈	—	2	1	no	—
525	#121	—	2	1	no	—
526	#121	—	2	1	no	—
527	#121	—	2	1	no	—
528	#121	—	2	1	no	—
529	#121	—	4	1	no	—
530	#120	—	4	1	no	—
531	C₄×Q₈	—	2	1	no	—
532	C₄×D₄	—	2	1	no	—
533	C₄×D₄	—	4	1	no	—
534	#117	—	2	1	no	—
535	#117	C₂³×C₁₉	1	1	yes	characteristic
536	C₂×C₄⋊C₄	—	2	1	no	—
537	C₂×C₄⋊C₄	—	4	1	no	—
538	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
539	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
540	C₂×C₂²⋊C₄	—	4	1	no	—
541	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
542	#108	—	2	2	no	—
543	#107	—	2	1	no	—
544	#106	—	2	1	no	—
545	C₄⋊C₈	—	2	1	no	—
546	C₄⋊C₈	—	2	1	no	—
547	#104	—	2	2	no	—
548	#104	—	2	2	no	—
549	#104	D₄×C₁₉	1	4	yes	complemented
550	#103	—	2	1	no	—
551	#103	—	2	1	no	—
552	#103	—	2	1	no	—
553	#103	—	2	1	no	—
554	#103	—	2	1	no	—
555	#103	—	2	1	no	—
556	#103	—	2	1	no	—
557	#103	—	2	1	no	—
558	#103	—	2	1	no	—
559	#103	D₄×C₁₉	1	1	yes	characteristic
560	#103	D₄×C₁₉	1	1	yes	characteristic
561	#102	—	2	1	no	—
562	#102	—	2	1	no	—
563	#102	—	2	1	no	—
564	#102	—	2	1	no	—
565	#102	—	2	1	no	—
566	#102	—	2	1	no	—
567	#102	—	2	1	no	—
568	#102	D₄×C₁₉	1	1	yes	characteristic
569	#102	D₄×C₁₉	1	1	yes	characteristic
570	#101	—	2	2	no	—
571	#100	—	4	1	no	—
572	C₂²⋊C₈	—	2	1	no	—
573	C₂²⋊C₈	—	2	1	no	—
574	#97	—	2	2	no	—
575	C₁₉	#25193	1	1	yes	characteristic, direct product factor, Sylow
576	C₂⁴	—	2	1	no	—
577	#41	—	2	1	no	—
578	#41	—	2	1	no	—
579	#41	—	2	4	no	—
580	#41	—	2	1	no	—
581	#41	—	2	1	no	—
582	#41	—	2	1	no	—
583	#41	—	2	1	no	—
584	#41	—	2	1	no	—
585	#41	—	2	1	no	—
586	#41	—	2	1	no	—
587	#41	—	2	1	no	—
588	#41	—	4	2	no	—
589	#41	—	4	4	no	—
590	#41	—	4	2	no	—
591	#41	—	4	4	no	—
592	#41	—	4	2	no	—
593	#41	C₂×D₄×C₁₉	1	2	yes	—
594	#41	#41×C₁₉	1	2	yes	—
595	C₂×Q₈	—	2	1	no	—
596	C₂×Q₈	—	2	4	no	—
597	C₂×Q₈	—	2	1	no	—
598	C₂×Q₈	—	2	1	no	—
599	C₂×Q₈	—	2	1	no	—
600	C₂×Q₈	—	2	1	no	—
601	C₂×Q₈	—	4	1	no	—
602	C₂×Q₈	—	4	2	no	—
603	C₂×Q₈	—	4	2	no	—
604	C₂×Q₈	—	4	2	no	—
605	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
606	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
607	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
608	C₂×Q₈	#41×C₁₉	1	2	yes	—
609	C₂×D₄	—	2	1	no	—
610	C₂×D₄	—	2	1	no	—
611	C₂×D₄	—	2	1	no	—
612	C₂×D₄	—	2	1	no	—
613	C₂×D₄	—	2	1	no	—
614	C₂×D₄	—	2	1	no	—
615	C₂×D₄	—	2	1	no	—
616	C₂×D₄	—	2	1	no	—
617	C₂×D₄	—	2	1	no	—
618	C₂×D₄	—	4	1	no	—
619	C₂×D₄	—	4	1	no	—
620	C₂×D₄	—	4	1	no	—
621	C₂×D₄	—	4	1	no	—
622	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
623	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
624	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
625	C₂²×C₄	—	2	1	no	—
626	C₂²×C₄	—	2	1	no	—
627	C₂²×C₄	—	2	1	no	—
628	C₂²×C₄	—	2	1	no	—
629	C₂²×C₄	—	2	1	no	—
630	C₂²×C₄	—	2	1	no	—
631	C₂²×C₄	—	2	1	no	—
632	C₂²×C₄	—	4	1	no	—
633	C₂²×C₄	—	4	1	no	—
634	C₂²×C₄	—	4	1	no	—
635	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
636	Q₁₆	—	2	2	no	—
637	Q₁₆	—	4	2	no	—
638	SD₁₆	—	2	2	no	—
639	SD₁₆	—	2	2	no	—
640	SD₁₆	—	4	2	no	—
641	SD₁₆	—	4	2	no	—
642	SD₁₆	—	4	2	no	—
643	D₈	—	2	2	no	—
644	D₈	—	4	2	no	—
645	D₈	—	4	2	no	—
646	M₁₆	—	2	1	no	—
647	M₁₆	—	2	1	no	—
648	M₁₆	—	2	1	no	—
649	M₁₆	—	2	1	no	—
650	M₁₆	—	2	1	no	—
651	M₁₆	—	2	1	no	—
652	M₁₆	—	2	1	no	—
653	M₁₆	—	4	2	no	—
654	M₁₆	—	4	2	no	—
655	M₁₆	C₂×D₄×C₁₉	1	2	yes	—
656	C₂×C₈	—	2	1	no	—
657	C₂×C₈	—	2	1	no	—
658	C₂×C₈	—	2	1	no	—
659	C₂×C₈	—	2	1	no	—
660	C₂×C₈	—	2	1	no	—
661	C₂×C₈	—	2	1	no	—
662	C₂×C₈	—	2	1	no	—
663	C₂×C₈	—	2	1	no	—
664	C₂×C₈	—	4	2	no	—
665	C₂×C₈	—	4	2	no	—
666	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
667	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
668	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
669	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
670	C₄⋊C₄	—	2	1	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	2	1	no	—
673	C₄⋊C₄	—	2	1	no	—
674	C₄⋊C₄	—	4	1	no	—
675	C₄⋊C₄	—	4	1	no	—
676	C₄⋊C₄	—	8	2	no	—
677	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
678	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
679	C₂²⋊C₄	—	2	1	no	—
680	C₂²⋊C₄	—	4	4	no	—
681	C₂²⋊C₄	—	4	1	no	—
682	C₂²⋊C₄	—	4	1	no	—
683	C₂²⋊C₄	—	4	1	no	—
684	C₂²⋊C₄	—	4	1	no	—
685	C₂²⋊C₄	—	4	1	no	—
686	C₄²	—	2	1	no	—
687	C₄²	—	2	1	no	—
688	C₄²	—	4	1	no	—
689	C₄²	C₂×D₄×C₁₉	1	2	yes	—
690	C₂³	—	2	1	no	—
691	C₂³	—	2	1	no	—
692	C₂³	—	2	1	no	—
693	C₂³	—	4	1	no	—
694	C₂³	—	4	1	no	—
695	C₂³	—	4	1	no	—
696	C₂³	—	8	1	no	—
697	C₂³	—	8	1	no	—
698	C₂³	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
699	Q₈	—	2	1	no	—
700	Q₈	—	2	1	no	—
701	Q₈	—	2	1	no	—
702	Q₈	—	2	2	no	—
703	Q₈	—	2	1	no	—
704	Q₈	—	2	2	no	—
705	Q₈	—	2	1	no	—
706	Q₈	—	4	4	no	—
707	Q₈	—	4	1	no	—
708	Q₈	—	4	1	no	—
709	Q₈	C₁₉×#121	1	2	yes	—
710	D₄	—	2	2	no	—
711	D₄	—	2	2	no	—
712	D₄	—	2	1	no	—
713	D₄	—	2	1	no	—
714	D₄	—	2	1	no	—
715	D₄	—	2	1	no	—
716	D₄	—	2	1	no	—
717	D₄	—	4	4	no	—
718	D₄	—	4	1	no	—
719	D₄	—	4	1	no	—
720	D₄	—	4	1	no	—
721	D₄	—	4	1	no	—
722	D₄	—	4	1	no	—
723	D₄	—	4	1	no	—
724	D₄	—	4	1	no	—
725	D₄	—	4	1	no	—
726	D₄	—	16	1	no	—
727	D₄	—	16	1	no	—
728	D₄	—	16	1	no	—
729	D₄	C₁₉×#121	1	2	yes	—
730	C₂×C₄	—	2	1	no	—
731	C₂×C₄	—	2	2	no	—
732	C₂×C₄	—	2	2	no	—
733	C₂×C₄	—	2	1	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	2	1	no	—
736	C₂×C₄	—	2	1	no	—
737	C₂×C₄	—	2	2	no	—
738	C₂×C₄	—	2	2	no	—
739	C₂×C₄	—	4	4	no	—
740	C₂×C₄	—	4	1	no	—
741	C₂×C₄	—	4	1	no	—
742	C₂×C₄	—	4	4	no	—
743	C₂×C₄	—	4	1	no	—
744	C₂×C₄	—	4	1	no	—
745	C₂×C₄	—	4	1	no	—
746	C₂×C₄	—	4	1	no	—
747	C₂×C₄	—	4	1	no	—
748	C₂×C₄	—	4	1	no	—
749	C₂×C₄	—	4	1	no	—
750	C₂×C₄	—	4	1	no	—
751	C₂×C₄	—	8	1	no	—
752	C₂×C₄	—	8	1	no	—
753	C₂×C₄	—	16	1	no	—
754	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
755	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
756	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
757	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
758	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
759	C₂×C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
760	C₈	—	2	1	no	—
761	C₈	—	2	1	no	—
762	C₈	—	2	1	no	—
763	C₈	—	2	1	no	—
764	C₈	—	2	2	no	—
765	C₈	—	4	1	no	—
766	C₈	—	4	1	no	—
767	C₈	—	4	1	no	—
768	C₂²	—	2	1	no	—
769	C₂²	—	2	1	no	—
770	C₂²	—	2	2	no	—
771	C₂²	—	4	1	no	—
772	C₂²	—	4	1	no	—
773	C₂²	—	4	1	no	—
774	C₂²	—	4	1	no	—
775	C₂²	—	4	1	no	—
776	C₂²	—	4	1	no	—
777	C₂²	—	4	1	no	—
778	C₂²	—	4	1	no	—
779	C₂²	—	8	2	no	—
780	C₂²	—	8	1	no	—
781	C₂²	—	8	1	no	—
782	C₂²	—	8	1	no	—
783	C₂²	—	16	1	no	—
784	C₂²	C₁₉×#538	1	1	yes	characteristic
785	C₂²	D₄²×C₁₉	1	1	yes	characteristic
786	C₂²	C₁₉×#546	1	1	yes	characteristic
787	C₄	—	2	2	no	—
788	C₄	—	4	2	no	—
789	C₄	—	4	1	no	—
790	C₄	—	4	2	no	—
791	C₄	—	4	1	no	—
792	C₄	—	4	1	no	—
793	C₄	—	4	1	no	—
794	C₄	—	8	1	no	—
795	C₄	—	8	1	no	—
796	C₄	C₂×C₁₉×#121	1	1	yes	characteristic
797	C₄	C₁₉×#525	1	1	yes	characteristic
798	C₄	D₄²×C₁₉	1	1	yes	characteristic
799	C₄	C₁₉×#546	1	1	yes	characteristic
800	C₂	—	2	1	no	—
801	C₂	—	2	1	no	—
802	C₂	—	4	2	no	—
803	C₂	—	8	1	no	—
804	C₂	—	8	1	no	—
805	C₂	—	16	1	no	—
806	C₂	C₁₉×#2424	1	1	yes	characteristic
807	C₂	C₁₉×#3288	1	1	yes	characteristic
808	C₂	C₁₉×#3289	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	D₄²
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂²×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3062	C₂	semidirect
2. C₁₉×#3045	C₂	semidirect
3. C₂×C₁₉×#454	C₂	semidirect
4. C₁₉×#3013	C₂	semidirect
5. C₂×C₁₉×#444	C₂	semidirect
6. C₁₉×#2898	C₂	semidirect
7. C₁₉×#2064	C₂	semidirect
8. C₁₉×#2051	C₂	semidirect
9. C₁₉×#2039	C₂	semidirect
10. C₁₉×#2004	C₂	semidirect
11. C₁₉×#1959	C₂	semidirect
12. C₁₉×#1938	C₂	semidirect
13. C₁₉×#1908	C₂	semidirect
14. C₁₉×#1907	C₂	semidirect
15. C₁₉×#1859	C₂	semidirect
145. C₁₉×#104	D₄	semidirect
285. #25193	C₁₉	direct (N × H)
364. #3062	C₂×C₁₉	semidirect
365. #3045	C₂×C₁₉	semidirect
366. C₂×#454	C₂×C₁₉	semidirect
367. #3013	C₂×C₁₉	semidirect
368. C₂×#444	C₂×C₁₉	semidirect
369. #2898	C₂×C₁₉	semidirect
370. #2064	C₂×C₁₉	semidirect
371. #2051	C₂×C₁₉	semidirect
372. #2039	C₂×C₁₉	semidirect
373. #2004	C₂×C₁₉	semidirect
374. #1959	C₂×C₁₉	semidirect
375. #1938	C₂×C₁₉	semidirect
376. #1908	C₂×C₁₉	semidirect
377. #1907	C₂×C₁₉	semidirect
378. #1859	C₂×C₁₉	semidirect
549. #104	D₄×C₁₉	semidirect
575. C₁₉	#25193	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×#3062	2
C₁₉×#3045	2
C₂×C₁₉×#454	2
C₁₉×#3013	2
C₂×C₁₉×#444	2
C₁₉×#2898	2
C₁₉×#2064	2
C₁₉×#2051	2
C₁₉×#2039	2
C₁₉×#2004	2
C₁₉×#1959	2
C₁₉×#1938	2
C₁₉×#1908	2
C₁₉×#1907	2
C₁₉×#1859	2
#25193	19

Subgroups — C19×#25193 #18031152

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#25193 #18031152