Subgroups — C₁₉×#10599 #18016558

Order 4864.

454 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#1982	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#1957	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#1948	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1939	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₉×#335	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₉×#331	C₂	1	1	yes	maximal, characteristic
7	C₁₉×#1296	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×#106	—	2	1	no	—
10	C₂×C₁₉×C₄⋊C₈	—	2	1	no	—
11	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₉×#102	—	2	1	no	—
15	C₂×C₁₉×#102	—	2	1	no	—
16	C₂×C₁₉×#102	—	2	1	no	—
17	C₂×C₁₉×#102	—	2	1	no	—
18	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
19	C₁₉×#384	C₂²	1	1	yes	characteristic
20	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
21	C₁₉×#340	—	2	1	no	—
22	C₁₉×#336	—	2	1	no	—
23	C₁₉×#335	—	2	2	no	—
24	C₁₉×#331	—	2	2	no	—
25	C₂²×D₄×C₁₉	—	2	1	no	—
26	C₂²×D₄×C₁₉	—	2	1	no	—
27	C₂²×D₄×C₁₉	—	2	1	no	—
28	C₂²×C₈×C₁₉	—	2	1	no	—
29	C₂²×C₈×C₁₉	—	2	1	no	—
30	C₂²×C₈×C₁₉	—	2	1	no	—
31	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
32	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
33	C₁₉×#127	—	2	1	no	—
34	C₁₉×#127	—	2	1	no	—
35	C₁₉×#127	—	2	1	no	—
36	C₁₉×#127	Q₈	1	2	yes	—
37	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
38	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
39	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
40	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
41	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
42	C₂×C₄²×C₁₉	—	2	1	no	—
43	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
44	C₁₉×#106	—	4	2	no	—
45	C₁₉×C₄⋊C₈	—	2	1	no	—
46	C₁₉×C₄⋊C₈	—	2	1	no	—
47	C₁₉×C₄⋊C₈	—	2	1	no	—
48	C₁₉×C₄⋊C₈	—	2	1	no	—
49	C₁₉×C₄⋊C₈	—	2	1	no	—
50	C₁₉×C₄⋊C₈	—	4	2	no	—
51	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
52	C₁₉×#102	—	4	2	no	—
53	C₁₉×#102	—	4	2	no	—
54	C₁₉×#102	—	4	2	no	—
55	C₁₉×#102	—	4	2	no	—
56	C₄×C₈×C₁₉	—	2	1	no	—
57	C₄×C₈×C₁₉	—	2	1	no	—
58	C₁₉×#95	—	2	1	no	—
59	C₂⁴×C₁₉	—	4	1	no	—
60	C₂×D₄×C₁₉	—	2	2	no	—
61	C₂×D₄×C₁₉	—	2	2	no	—
62	C₂×D₄×C₁₉	—	2	2	no	—
63	C₂×D₄×C₁₉	—	4	1	no	—
64	C₂×D₄×C₁₉	—	4	1	no	—
65	C₂×D₄×C₁₉	—	4	1	no	—
66	C₂×D₄×C₁₉	—	4	1	no	—
67	C₂×D₄×C₁₉	—	4	1	no	—
68	C₂×D₄×C₁₉	—	4	1	no	—
69	C₂×D₄×C₁₉	—	4	1	no	—
70	C₂×D₄×C₁₉	—	4	1	no	—
71	C₂×D₄×C₁₉	—	4	1	no	—
72	C₂×D₄×C₁₉	—	4	1	no	—
73	C₂×D₄×C₁₉	—	4	1	no	—
74	C₂×D₄×C₁₉	—	8	1	no	—
75	C₂×D₄×C₁₉	—	8	1	no	—
76	C₂²×C₄×C₁₉	—	2	1	no	—
77	C₂²×C₄×C₁₉	—	2	1	no	—
78	C₂²×C₄×C₁₉	—	4	1	no	—
79	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
82	C₂×C₈×C₁₉	—	2	1	no	—
83	C₂×C₈×C₁₉	—	2	1	no	—
84	C₂×C₈×C₁₉	—	2	2	no	—
85	C₂×C₈×C₁₉	—	2	1	no	—
86	C₂×C₈×C₁₉	—	2	1	no	—
87	C₂×C₈×C₁₉	—	2	1	no	—
88	C₂×C₈×C₁₉	—	4	1	no	—
89	C₂×C₈×C₁₉	—	4	1	no	—
90	C₂×C₈×C₁₉	—	4	1	no	—
91	C₂×C₈×C₁₉	—	4	1	no	—
92	C₂×C₈×C₁₉	—	4	1	no	—
93	C₂×C₈×C₁₉	—	4	1	no	—
94	C₂×C₈×C₁₉	—	4	1	no	—
95	C₂×C₈×C₁₉	—	4	1	no	—
96	C₂×C₈×C₁₉	SD₁₆	1	2	yes	—
97	C₄⋊C₄×C₁₉	—	2	1	no	—
98	C₄⋊C₄×C₁₉	—	2	1	no	—
99	C₄⋊C₄×C₁₉	—	2	1	no	—
100	C₄⋊C₄×C₁₉	—	4	1	no	—
101	C₄⋊C₄×C₁₉	—	4	1	no	—
102	C₄⋊C₄×C₁₉	—	4	1	no	—
103	C₄⋊C₄×C₁₉	—	4	1	no	—
104	C₄⋊C₄×C₁₉	—	8	1	no	—
105	C₄⋊C₄×C₁₉	D₈	1	2	yes	—
106	C₄²×C₁₉	—	4	1	no	—
107	C₄²×C₁₉	—	4	1	no	—
108	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
109	C₄²×C₁₉	C₂×Q₈	1	1	yes	characteristic
110	C₄²×C₁₉	#41	1	1	yes	characteristic
111	C₄²×C₁₉	#41	1	1	yes	characteristic
112	#10599	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
113	C₂³×C₁₉	—	4	2	no	—
114	C₂³×C₁₉	—	8	1	no	—
115	C₂³×C₁₉	—	8	1	no	—
116	C₂³×C₁₉	—	8	1	no	—
117	C₂³×C₁₉	—	8	1	no	—
118	C₂³×C₁₉	—	8	1	no	—
119	C₂³×C₁₉	—	8	1	no	—
120	C₂³×C₁₉	#121	1	1	yes	characteristic
121	D₄×C₁₉	—	4	2	no	—
122	D₄×C₁₉	—	4	2	no	—
123	D₄×C₁₉	—	4	2	no	—
124	D₄×C₁₉	—	4	2	no	—
125	D₄×C₁₉	—	8	2	no	—
126	D₄×C₁₉	—	8	2	no	—
127	D₄×C₁₉	—	8	1	no	—
128	D₄×C₁₉	—	8	1	no	—
129	D₄×C₁₉	—	8	1	no	—
130	D₄×C₁₉	—	8	1	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	2	no	—
134	C₂×C₄×C₁₉	—	4	1	no	—
135	C₂×C₄×C₁₉	—	4	1	no	—
136	C₂×C₄×C₁₉	—	4	1	no	—
137	C₂×C₄×C₁₉	—	4	1	no	—
138	C₂×C₄×C₁₉	—	4	1	no	—
139	C₂×C₄×C₁₉	—	8	1	no	—
140	C₂×C₄×C₁₉	—	8	1	no	—
141	C₂×C₄×C₁₉	—	8	1	no	—
142	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
143	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
144	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
145	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
146	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
147	C₂×C₄×C₁₉	#126	1	1	yes	characteristic
148	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
149	C₂×C₄×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
150	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
151	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
152	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
153	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
154	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
155	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
156	C₈×C₁₉	—	2	2	no	—
157	C₈×C₁₉	—	4	2	no	—
158	C₈×C₁₉	—	4	1	no	—
159	C₈×C₁₉	—	8	1	no	—
160	C₈×C₁₉	—	8	1	no	—
161	#1982	C₂×C₁₉	1	1	yes	characteristic
162	#1957	C₂×C₁₉	1	1	yes	characteristic
163	#1948	C₂×C₁₉	1	1	yes	characteristic, complemented
164	#1939	C₂×C₁₉	1	1	yes	characteristic, complemented
165	C₂×#335	C₂×C₁₉	1	1	yes	characteristic, complemented
166	C₂×#331	C₂×C₁₉	1	1	yes	characteristic
167	#1296	C₂×C₁₉	1	1	yes	characteristic, complemented
168	C₂²×C₁₉	—	8	2	no	—
169	C₂²×C₁₉	—	8	2	no	—
170	C₂²×C₁₉	—	8	2	no	—
171	C₂²×C₁₉	—	16	1	no	—
172	C₂²×C₁₉	—	16	1	no	—
173	C₂²×C₁₉	—	16	1	no	—
174	C₂²×C₁₉	—	16	1	no	—
175	C₂²×C₁₉	#396	1	1	yes	characteristic
176	C₂²×C₁₉	#460	1	1	yes	characteristic
177	C₂²×C₁₉	#463	1	1	yes	characteristic
178	C₂²×C₁₉	#466	1	1	yes	characteristic
179	C₂²×C₁₉	#468	1	1	yes	characteristic
180	C₂²×C₁₉	#471	1	1	yes	characteristic
181	C₂²×C₁₉	#472	1	1	yes	characteristic
182	C₄×C₁₉	—	2	1	no	—
183	C₄×C₁₉	—	2	1	no	—
184	C₄×C₁₉	—	4	2	no	—
185	C₄×C₁₉	—	8	1	no	—
186	C₄×C₁₉	—	16	1	no	—
187	C₄×C₁₉	#459	1	1	yes	characteristic
188	C₄×C₁₉	#464	1	1	yes	characteristic
189	C₄×C₁₉	#465	1	1	yes	characteristic
190	C₄×C₁₉	#469	1	1	yes	characteristic
191	C₄×C₁₉	#474	1	1	yes	characteristic
192	C₄×C₁₉	#476	1	1	yes	characteristic
193	C₄×C₁₉	#478	1	1	yes	characteristic
194	C₄×C₁₉	#478	1	1	yes	characteristic
195	C₂×#127	C₂²×C₁₉	1	1	yes	characteristic
196	C₂×#106	—	2	1	no	—
197	C₂×C₄⋊C₈	—	2	1	no	—
198	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
199	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
200	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
201	C₂×#102	—	2	1	no	—
202	C₂×#102	—	2	1	no	—
203	C₂×#102	—	2	1	no	—
204	C₂×#102	—	2	1	no	—
205	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
206	#384	C₂²×C₁₉	1	1	yes	characteristic
207	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
208	#340	—	2	1	no	—
209	#336	—	2	1	no	—
210	#335	—	2	2	no	—
211	#331	—	2	2	no	—
212	C₂×C₁₉	—	16	2	no	—
213	C₂×C₁₉	#1668	1	1	yes	characteristic
214	C₂×C₁₉	#1681	1	1	yes	characteristic
215	C₂×C₁₉	#1686	1	1	yes	characteristic
216	C₂×C₁₉	#1697	1	1	yes	characteristic
217	C₂×C₁₉	#2063	1	1	yes	characteristic
218	C₂×C₁₉	#2065	1	1	yes	characteristic
219	C₂×C₁₉	#2067	1	1	yes	characteristic
220	C₂²×D₄	—	2	1	no	—
221	C₂²×D₄	—	2	1	no	—
222	C₂²×D₄	—	2	1	no	—
223	C₂²×C₈	—	2	1	no	—
224	C₂²×C₈	—	2	1	no	—
225	C₂²×C₈	—	2	1	no	—
226	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
227	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
228	#127	—	2	1	no	—
229	#127	—	2	1	no	—
230	#127	—	2	1	no	—
231	#127	Q₈×C₁₉	1	2	yes	—
232	C₂×C₄⋊C₄	—	2	1	no	—
233	C₂×C₄⋊C₄	—	2	1	no	—
234	C₂×C₄⋊C₄	—	2	1	no	—
235	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
236	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
237	C₂×C₄²	—	2	1	no	—
238	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
239	#106	—	4	2	no	—
240	C₄⋊C₈	—	2	1	no	—
241	C₄⋊C₈	—	2	1	no	—
242	C₄⋊C₈	—	2	1	no	—
243	C₄⋊C₈	—	2	1	no	—
244	C₄⋊C₈	—	2	1	no	—
245	C₄⋊C₈	—	4	2	no	—
246	C₄⋊C₈	D₄×C₁₉	1	2	yes	—
247	#102	—	4	2	no	—
248	#102	—	4	2	no	—
249	#102	—	4	2	no	—
250	#102	—	4	2	no	—
251	C₄×C₈	—	2	1	no	—
252	C₄×C₈	—	2	1	no	—
253	#95	—	2	1	no	—
254	C₁₉	#10599	1	1	yes	characteristic, direct product factor, Sylow
255	C₂⁴	—	4	1	no	—
256	C₂×D₄	—	2	2	no	—
257	C₂×D₄	—	2	2	no	—
258	C₂×D₄	—	2	2	no	—
259	C₂×D₄	—	4	1	no	—
260	C₂×D₄	—	4	1	no	—
261	C₂×D₄	—	4	1	no	—
262	C₂×D₄	—	4	1	no	—
263	C₂×D₄	—	4	1	no	—
264	C₂×D₄	—	4	1	no	—
265	C₂×D₄	—	4	1	no	—
266	C₂×D₄	—	4	1	no	—
267	C₂×D₄	—	4	1	no	—
268	C₂×D₄	—	4	1	no	—
269	C₂×D₄	—	4	1	no	—
270	C₂×D₄	—	8	1	no	—
271	C₂×D₄	—	8	1	no	—
272	C₂²×C₄	—	2	1	no	—
273	C₂²×C₄	—	2	1	no	—
274	C₂²×C₄	—	4	1	no	—
275	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
276	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
277	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
278	C₂×C₈	—	2	1	no	—
279	C₂×C₈	—	2	1	no	—
280	C₂×C₈	—	2	1	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	1	no	—
283	C₂×C₈	—	2	1	no	—
284	C₂×C₈	—	4	1	no	—
285	C₂×C₈	—	4	1	no	—
286	C₂×C₈	—	4	1	no	—
287	C₂×C₈	—	4	1	no	—
288	C₂×C₈	—	4	1	no	—
289	C₂×C₈	—	4	1	no	—
290	C₂×C₈	—	4	1	no	—
291	C₂×C₈	—	4	1	no	—
292	C₂×C₈	SD₁₆×C₁₉	1	2	yes	—
293	C₄⋊C₄	—	2	1	no	—
294	C₄⋊C₄	—	2	1	no	—
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	4	1	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	—	4	1	no	—
300	C₄⋊C₄	—	8	1	no	—
301	C₄⋊C₄	D₈×C₁₉	1	2	yes	—
302	C₄²	—	4	1	no	—
303	C₄²	—	4	1	no	—
304	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
305	C₄²	C₂×Q₈×C₁₉	1	1	yes	characteristic
306	C₄²	#41×C₁₉	1	1	yes	characteristic
307	C₄²	#41×C₁₉	1	1	yes	characteristic
308	C₂³	—	4	2	no	—
309	C₂³	—	8	1	no	—
310	C₂³	—	8	1	no	—
311	C₂³	—	8	1	no	—
312	C₂³	—	8	1	no	—
313	C₂³	—	8	1	no	—
314	C₂³	—	8	1	no	—
315	C₂³	C₁₉×#121	1	1	yes	characteristic
316	D₄	—	4	2	no	—
317	D₄	—	4	2	no	—
318	D₄	—	4	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	8	2	no	—
321	D₄	—	8	2	no	—
322	D₄	—	8	1	no	—
323	D₄	—	8	1	no	—
324	D₄	—	8	1	no	—
325	D₄	—	8	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	8	1	no	—
335	C₂×C₄	—	8	1	no	—
336	C₂×C₄	—	8	1	no	—
337	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
338	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
339	C₂×C₄	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
340	C₂×C₄	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
341	C₂×C₄	C₁₉×C₂²⋊Q₈	1	1	yes	characteristic
342	C₂×C₄	C₁₉×#126	1	1	yes	characteristic
343	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
344	C₂×C₄	C₂×SD₁₆×C₁₉	1	1	yes	characteristic
345	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
346	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
347	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
348	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
349	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
350	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
351	C₈	—	2	2	no	—
352	C₈	—	4	2	no	—
353	C₈	—	4	1	no	—
354	C₈	—	8	1	no	—
355	C₈	—	8	1	no	—
356	C₂²	—	8	2	no	—
357	C₂²	—	8	2	no	—
358	C₂²	—	8	2	no	—
359	C₂²	—	16	1	no	—
360	C₂²	—	16	1	no	—
361	C₂²	—	16	1	no	—
362	C₂²	—	16	1	no	—
363	C₂²	C₁₉×#396	1	1	yes	characteristic
364	C₂²	C₁₉×#460	1	1	yes	characteristic
365	C₂²	C₁₉×#463	1	1	yes	characteristic
366	C₂²	C₁₉×#466	1	1	yes	characteristic
367	C₂²	C₁₉×#468	1	1	yes	characteristic
368	C₂²	C₁₉×#471	1	1	yes	characteristic
369	C₂²	C₁₉×#472	1	1	yes	characteristic
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	4	2	no	—
373	C₄	—	8	1	no	—
374	C₄	—	16	1	no	—
375	C₄	C₁₉×#459	1	1	yes	characteristic
376	C₄	C₁₉×#464	1	1	yes	characteristic
377	C₄	C₁₉×#465	1	1	yes	characteristic
378	C₄	C₁₉×#469	1	1	yes	characteristic
379	C₄	C₁₉×#474	1	1	yes	characteristic
380	C₄	C₁₉×#476	1	1	yes	characteristic
381	C₄	C₁₉×#478	1	1	yes	characteristic
382	C₄	C₁₉×#478	1	1	yes	characteristic
383	C₂	—	16	2	no	—
384	C₂	C₁₉×#1668	1	1	yes	characteristic
385	C₂	C₁₉×#1681	1	1	yes	characteristic
386	C₂	C₁₉×#1686	1	1	yes	characteristic
387	C₂	C₁₉×#1697	1	1	yes	characteristic
388	C₂	C₁₉×#2063	1	1	yes	characteristic
389	C₂	C₁₉×#2065	1	1	yes	characteristic
390	C₂	C₁₉×#2067	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	#121
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₂×C₁₉×#127	C₂²
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₉×#1948	C₂	semidirect
4. C₁₉×#1939	C₂	semidirect
5. C₂×C₁₉×#335	C₂	semidirect
7. C₁₉×#1296	C₂	semidirect
112. #10599	C₁₉	direct (N × H)
163. #1948	C₂×C₁₉	semidirect
164. #1939	C₂×C₁₉	semidirect
165. C₂×#335	C₂×C₁₉	semidirect
167. #1296	C₂×C₁₉	semidirect
254. C₁₉	#10599	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×#1982	2
C₁₉×#1957	2
C₁₉×#1948	2
C₁₉×#1939	2
C₂×C₁₉×#335	2
C₂×C₁₉×#331	2
C₁₉×#1296	2
#10599	19

Subgroups — C19×#10599 #18016558

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10599 #18016558