Subgroups — C₁₉×#11008 #18016967

Order 4864.

2118 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×#127	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₉×#102	C₂	1	4	yes	maximal, complemented
3	C₂×C₁₉×#336	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×C₄⋊#95	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂³×D₄×C₁₉	—	2	2	no	—
6	C₂³×D₄×C₁₉	C₂²	1	2	yes	—
7	C₂³×C₈×C₁₉	C₂²	1	2	yes	—
8	C₂×C₁₉×#127	—	2	8	no	—
9	C₂×C₁₉×#127	—	2	2	no	—
10	C₂×C₁₉×#127	C₄	1	4	yes	complemented
11	C₂²×C₄⋊C₄×C₁₉	C₂²	1	2	yes	—
12	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
13	C₂×C₁₉×#102	—	2	8	no	—
14	C₂×C₁₉×#102	—	2	8	no	—
15	C₂×C₁₉×#102	—	2	8	no	—
16	C₂×C₁₉×#95	—	2	2	no	—
17	C₁₉×#336	—	2	2	no	—
18	C₂⁵×C₁₉	—	2	2	no	—
19	C₂²×D₄×C₁₉	—	2	16	no	—
20	C₂²×D₄×C₁₉	—	2	8	no	—
21	C₂²×D₄×C₁₉	—	2	4	no	—
22	C₂²×D₄×C₁₉	—	2	4	no	—
23	C₂²×D₄×C₁₉	—	2	4	no	—
24	C₂²×D₄×C₁₉	—	2	2	no	—
25	C₂²×D₄×C₁₉	—	2	4	no	—
26	C₂²×D₄×C₁₉	—	2	4	no	—
27	C₂²×D₄×C₁₉	—	4	8	no	—
28	C₂²×D₄×C₁₉	—	4	4	no	—
29	C₂²×D₄×C₁₉	—	4	4	no	—
30	C₂²×D₄×C₁₉	C₂×C₄	1	4	yes	—
31	C₂²×D₄×C₁₉	D₄	1	8	yes	—
32	C₂³×C₄×C₁₉	—	2	2	no	—
33	C₂³×C₄×C₁₉	D₄	1	2	yes	—
34	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
35	C₂²×C₈×C₁₉	—	2	4	no	—
36	C₂²×C₈×C₁₉	—	2	4	no	—
37	C₂²×C₈×C₁₉	—	2	2	no	—
38	C₂²×C₈×C₁₉	—	2	2	no	—
39	C₂²×C₈×C₁₉	D₄	1	4	yes	complemented
40	C₁₉×#127	—	2	16	no	—
41	C₁₉×#127	—	2	16	no	—
42	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
43	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
44	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
45	C₂×C₄⋊C₄×C₁₉	D₄	1	4	yes	complemented
46	C₂×C₄²×C₁₉	—	2	4	no	—
47	C₂×C₄²×C₁₉	C₂×C₄	1	2	yes	—
48	C₂×C₄²×C₁₉	D₄	1	2	yes	—
49	C₁₉×#102	—	2	32	no	—
50	C₁₉×#95	—	4	4	no	—
51	C₂⁴×C₁₉	—	2	4	no	—
52	C₂⁴×C₁₉	—	2	8	no	—
53	C₂⁴×C₁₉	—	4	4	no	—
54	C₂⁴×C₁₉	—	4	2	no	—
55	C₂⁴×C₁₉	—	4	2	no	—
56	C₂⁴×C₁₉	—	4	4	no	—
57	C₂⁴×C₁₉	—	4	4	no	—
58	C₂⁴×C₁₉	—	4	8	no	—
59	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
60	C₂×D₄×C₁₉	—	2	32	no	—
61	C₂×D₄×C₁₉	—	2	4	no	—
62	C₂×D₄×C₁₉	—	2	8	no	—
63	C₂×D₄×C₁₉	—	2	8	no	—
64	C₂×D₄×C₁₉	—	2	8	no	—
65	C₂×D₄×C₁₉	—	2	8	no	—
66	C₂×D₄×C₁₉	—	2	8	no	—
67	C₂×D₄×C₁₉	—	2	8	no	—
68	C₂×D₄×C₁₉	—	2	8	no	—
69	C₂×D₄×C₁₉	—	4	16	no	—
70	C₂×D₄×C₁₉	—	4	32	no	—
71	C₂×D₄×C₁₉	—	4	32	no	—
72	C₂×D₄×C₁₉	—	4	16	no	—
73	C₂×D₄×C₁₉	—	4	4	no	—
74	C₂×D₄×C₁₉	—	4	4	no	—
75	C₂×D₄×C₁₉	—	4	4	no	—
76	C₂×D₄×C₁₉	—	4	4	no	—
77	C₂×D₄×C₁₉	—	4	4	no	—
78	C₂×D₄×C₁₉	—	4	2	no	—
79	C₂×D₄×C₁₉	—	4	2	no	—
80	C₂×D₄×C₁₉	C₂²⋊C₄	1	8	yes	—
81	C₂²×C₄×C₁₉	—	2	4	no	—
82	C₂²×C₄×C₁₉	—	2	4	no	—
83	C₂²×C₄×C₁₉	—	2	4	no	—
84	C₂²×C₄×C₁₉	—	4	2	no	—
85	C₂²×C₄×C₁₉	—	4	2	no	—
86	C₂²×C₄×C₁₉	—	4	4	no	—
87	C₂²×C₄×C₁₉	—	4	4	no	—
88	C₂²×C₄×C₁₉	C₂²⋊C₄	1	4	yes	—
89	C₂²×C₄×C₁₉	D₈	1	4	yes	—
90	C₂²×C₄×C₁₉	SD₁₆	1	4	yes	—
91	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
93	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	#41	1	2	yes	—
97	C₂²×C₄×C₁₉	#41	1	2	yes	—
98	C₂×C₈×C₁₉	—	2	8	no	—
99	C₂×C₈×C₁₉	—	2	4	no	—
100	C₂×C₈×C₁₉	—	4	2	no	—
101	C₂×C₈×C₁₉	—	4	4	no	—
102	C₂×C₈×C₁₉	—	4	2	no	—
103	C₄⋊C₄×C₁₉	—	2	8	no	—
104	C₄⋊C₄×C₁₉	—	4	4	no	—
105	C₄²×C₁₉	—	2	4	no	—
106	C₄²×C₁₉	—	2	4	no	—
107	#11008	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂³×C₁₉	—	2	8	no	—
109	C₂³×C₁₉	—	4	4	no	—
110	C₂³×C₁₉	—	4	4	no	—
111	C₂³×C₁₉	—	4	8	no	—
112	C₂³×C₁₉	—	4	8	no	—
113	C₂³×C₁₉	—	4	8	no	—
114	C₂³×C₁₉	—	4	8	no	—
115	C₂³×C₁₉	—	4	16	no	—
116	C₂³×C₁₉	—	4	16	no	—
117	C₂³×C₁₉	—	8	8	no	—
118	C₂³×C₁₉	—	8	8	no	—
119	C₂³×C₁₉	—	8	4	no	—
120	C₂³×C₁₉	—	8	4	no	—
121	C₂³×C₁₉	—	8	2	no	—
122	C₂³×C₁₉	—	8	2	no	—
123	C₂³×C₁₉	—	8	4	no	—
124	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
125	C₂³×C₁₉	#120	1	2	yes	—
126	C₂³×C₁₉	#121	1	2	yes	—
127	C₂³×C₁₉	#124	1	1	yes	characteristic
128	C₂³×C₁₉	#127	1	1	yes	characteristic
129	C₂³×C₁₉	C₂×D₈	1	2	yes	—
130	C₂³×C₁₉	C₂×SD₁₆	1	2	yes	—
131	C₂³×C₁₉	AGL(1,ℤ/8)	1	4	yes	—
132	D₄×C₁₉	—	2	16	no	—
133	D₄×C₁₉	—	4	64	no	—
134	D₄×C₁₉	—	4	8	no	—
135	D₄×C₁₉	—	4	8	no	—
136	D₄×C₁₉	—	4	8	no	—
137	C₂×C₄×C₁₉	—	2	4	no	—
138	C₂×C₄×C₁₉	—	2	4	no	—
139	C₂×C₄×C₁₉	—	2	8	no	—
140	C₂×C₄×C₁₉	—	2	8	no	—
141	C₂×C₄×C₁₉	—	4	4	no	—
142	C₂×C₄×C₁₉	—	4	8	no	—
143	C₂×C₄×C₁₉	—	8	4	no	—
144	C₂×C₄×C₁₉	—	8	2	no	—
145	C₂×C₄×C₁₉	—	8	2	no	—
146	C₂×C₄×C₁₉	#102	1	8	yes	complemented
147	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
148	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
149	C₂×C₄×C₁₉	C₄×D₄	1	2	yes	—
150	C₂×C₄×C₁₉	#120	1	4	yes	—
151	C₂×C₄×C₁₉	#120	1	2	yes	—
152	C₂×C₄×C₁₉	#121	1	4	yes	—
153	C₂×C₄×C₁₉	#121	1	4	yes	—
154	C₂×C₄×C₁₉	#121	1	2	yes	—
155	C₂×C₄×C₁₉	#123	1	4	yes	—
156	C₂×C₄×C₁₉	#124	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
158	C₈×C₁₉	—	4	4	no	—
159	C₂²×#127	C₂×C₁₉	1	1	yes	characteristic
160	C₂²×#102	C₂×C₁₉	1	4	yes	complemented
161	C₂×#336	C₂×C₁₉	1	1	yes	characteristic, complemented
162	C₄⋊#95	C₂×C₁₉	1	1	yes	characteristic, complemented
163	C₂²×C₁₉	—	4	8	no	—
164	C₂²×C₁₉	—	4	16	no	—
165	C₂²×C₁₉	—	8	4	no	—
166	C₂²×C₁₉	—	8	4	no	—
167	C₂²×C₁₉	—	8	8	no	—
168	C₂²×C₁₉	—	8	8	no	—
169	C₂²×C₁₉	—	8	8	no	—
170	C₂²×C₁₉	—	8	16	no	—
171	C₂²×C₁₉	#379	1	1	yes	characteristic
172	C₂²×C₁₉	#390	1	1	yes	characteristic
173	C₂²×C₁₉	#390	1	1	yes	characteristic
174	C₂²×C₁₉	#392	1	2	yes	—
175	C₂²×C₁₉	#394	1	2	yes	—
176	C₂²×C₁₉	C₂×#102	1	2	yes	—
177	C₂²×C₁₉	#418	1	2	yes	—
178	C₂²×C₁₉	#447	1	4	yes	—
179	C₂²×C₁₉	#450	1	4	yes	—
180	C₂²×C₁₉	#459	1	4	yes	—
181	C₂²×C₁₉	#460	1	4	yes	—
182	C₂²×C₁₉	#486	1	2	yes	—
183	C₂²×C₁₉	#490	1	2	yes	—
184	C₂²×C₁₉	#492	1	1	yes	characteristic
185	C₂²×C₁₉	#493	1	1	yes	characteristic
186	C₂²×C₁₉	#496	1	2	yes	—
187	C₄×C₁₉	—	2	8	no	—
188	C₄×C₁₉	—	8	4	no	—
189	C₄×C₁₉	#386	1	4	yes	—
190	C₄×C₁₉	#392	1	2	yes	—
191	C₄×C₁₉	#394	1	2	yes	—
192	C₂³×D₄	—	2	2	no	—
193	C₂³×D₄	C₂²×C₁₉	1	2	yes	—
194	C₂³×C₈	C₂²×C₁₉	1	2	yes	—
195	C₂×#127	—	2	8	no	—
196	C₂×#127	—	2	2	no	—
197	C₂×#127	C₄×C₁₉	1	4	yes	complemented
198	C₂²×C₄⋊C₄	C₂²×C₁₉	1	2	yes	—
199	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
200	C₂×#102	—	2	8	no	—
201	C₂×#102	—	2	8	no	—
202	C₂×#102	—	2	8	no	—
203	C₂×#95	—	2	2	no	—
204	#336	—	2	2	no	—
205	C₂×C₁₉	—	8	8	no	—
206	C₂×C₁₉	#1438	1	1	yes	characteristic
207	C₂×C₁₉	#1786	1	2	yes	—
208	C₂×C₁₉	#1957	1	1	yes	characteristic
209	C₂×C₁₉	#1961	1	1	yes	characteristic
210	C₂×C₁₉	#1982	1	2	yes	—
211	C₂×C₁₉	#2011	1	2	yes	—
212	C₂×C₁₉	#2014	1	2	yes	—
213	C₂×C₁₉	#2041	1	4	yes	—
214	C₂⁵	—	2	2	no	—
215	C₂²×D₄	—	2	16	no	—
216	C₂²×D₄	—	2	8	no	—
217	C₂²×D₄	—	2	4	no	—
218	C₂²×D₄	—	2	4	no	—
219	C₂²×D₄	—	2	4	no	—
220	C₂²×D₄	—	2	2	no	—
221	C₂²×D₄	—	2	4	no	—
222	C₂²×D₄	—	2	4	no	—
223	C₂²×D₄	—	4	8	no	—
224	C₂²×D₄	—	4	4	no	—
225	C₂²×D₄	—	4	4	no	—
226	C₂²×D₄	C₂×C₄×C₁₉	1	4	yes	—
227	C₂²×D₄	D₄×C₁₉	1	8	yes	—
228	C₂³×C₄	—	2	2	no	—
229	C₂³×C₄	D₄×C₁₉	1	2	yes	—
230	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
231	C₂²×C₈	—	2	2	no	—
232	C₂²×C₈	—	2	4	no	—
233	C₂²×C₈	—	2	4	no	—
234	C₂²×C₈	—	2	2	no	—
235	C₂²×C₈	D₄×C₁₉	1	4	yes	complemented
236	#127	—	2	16	no	—
237	#127	—	2	16	no	—
238	C₂×C₄⋊C₄	—	2	4	no	—
239	C₂×C₄⋊C₄	—	2	4	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	D₄×C₁₉	1	4	yes	complemented
242	C₂×C₄²	—	2	4	no	—
243	C₂×C₄²	C₂×C₄×C₁₉	1	2	yes	—
244	C₂×C₄²	D₄×C₁₉	1	2	yes	—
245	#102	—	2	32	no	—
246	#95	—	4	4	no	—
247	C₁₉	#11008	1	1	yes	characteristic, direct product factor, Sylow
248	C₂⁴	—	2	4	no	—
249	C₂⁴	—	2	8	no	—
250	C₂⁴	—	4	4	no	—
251	C₂⁴	—	4	2	no	—
252	C₂⁴	—	4	2	no	—
253	C₂⁴	—	4	4	no	—
254	C₂⁴	—	4	4	no	—
255	C₂⁴	—	4	8	no	—
256	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
257	C₂×D₄	—	2	32	no	—
258	C₂×D₄	—	2	4	no	—
259	C₂×D₄	—	2	8	no	—
260	C₂×D₄	—	2	8	no	—
261	C₂×D₄	—	2	8	no	—
262	C₂×D₄	—	2	8	no	—
263	C₂×D₄	—	2	8	no	—
264	C₂×D₄	—	2	8	no	—
265	C₂×D₄	—	2	8	no	—
266	C₂×D₄	—	4	16	no	—
267	C₂×D₄	—	4	32	no	—
268	C₂×D₄	—	4	32	no	—
269	C₂×D₄	—	4	4	no	—
270	C₂×D₄	—	4	4	no	—
271	C₂×D₄	—	4	4	no	—
272	C₂×D₄	—	4	4	no	—
273	C₂×D₄	—	4	4	no	—
274	C₂×D₄	—	4	2	no	—
275	C₂×D₄	—	4	2	no	—
276	C₂×D₄	—	4	16	no	—
277	C₂×D₄	C₂²⋊C₄×C₁₉	1	8	yes	—
278	C₂²×C₄	—	2	4	no	—
279	C₂²×C₄	—	2	4	no	—
280	C₂²×C₄	—	2	4	no	—
281	C₂²×C₄	—	4	2	no	—
282	C₂²×C₄	—	4	2	no	—
283	C₂²×C₄	—	4	4	no	—
284	C₂²×C₄	—	4	4	no	—
285	C₂²×C₄	C₂²⋊C₄×C₁₉	1	4	yes	—
286	C₂²×C₄	D₈×C₁₉	1	4	yes	—
287	C₂²×C₄	SD₁₆×C₁₉	1	4	yes	—
288	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
289	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
290	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
291	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
292	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
293	C₂²×C₄	#41×C₁₉	1	2	yes	—
294	C₂²×C₄	#41×C₁₉	1	2	yes	—
295	C₂×C₈	—	2	8	no	—
296	C₂×C₈	—	2	4	no	—
297	C₂×C₈	—	4	2	no	—
298	C₂×C₈	—	4	4	no	—
299	C₂×C₈	—	4	2	no	—
300	C₄⋊C₄	—	2	8	no	—
301	C₄⋊C₄	—	4	4	no	—
302	C₄²	—	2	4	no	—
303	C₄²	—	2	4	no	—
304	C₂³	—	2	8	no	—
305	C₂³	—	4	4	no	—
306	C₂³	—	4	4	no	—
307	C₂³	—	4	8	no	—
308	C₂³	—	4	8	no	—
309	C₂³	—	4	8	no	—
310	C₂³	—	4	8	no	—
311	C₂³	—	4	16	no	—
312	C₂³	—	4	16	no	—
313	C₂³	—	8	8	no	—
314	C₂³	—	8	8	no	—
315	C₂³	—	8	4	no	—
316	C₂³	—	8	4	no	—
317	C₂³	—	8	2	no	—
318	C₂³	—	8	2	no	—
319	C₂³	—	8	4	no	—
320	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
321	C₂³	C₁₉×#120	1	2	yes	—
322	C₂³	C₁₉×#121	1	2	yes	—
323	C₂³	C₁₉×#124	1	1	yes	characteristic
324	C₂³	C₁₉×#127	1	1	yes	characteristic
325	C₂³	C₂×D₈×C₁₉	1	2	yes	—
326	C₂³	C₂×SD₁₆×C₁₉	1	2	yes	—
327	C₂³	C₁₉×AGL(1,ℤ/8)	1	4	yes	—
328	D₄	—	2	16	no	—
329	D₄	—	4	64	no	—
330	D₄	—	4	8	no	—
331	D₄	—	4	8	no	—
332	D₄	—	4	8	no	—
333	C₂×C₄	—	2	4	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	2	8	no	—
336	C₂×C₄	—	2	8	no	—
337	C₂×C₄	—	4	4	no	—
338	C₂×C₄	—	4	8	no	—
339	C₂×C₄	—	8	4	no	—
340	C₂×C₄	—	8	2	no	—
341	C₂×C₄	—	8	2	no	—
342	C₂×C₄	C₁₉×#102	1	8	yes	complemented
343	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
344	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
345	C₂×C₄	C₄×D₄×C₁₉	1	2	yes	—
346	C₂×C₄	C₁₉×#120	1	4	yes	—
347	C₂×C₄	C₁₉×#120	1	2	yes	—
348	C₂×C₄	C₁₉×#121	1	4	yes	—
349	C₂×C₄	C₁₉×#121	1	4	yes	—
350	C₂×C₄	C₁₉×#121	1	2	yes	—
351	C₂×C₄	C₁₉×#123	1	4	yes	—
352	C₂×C₄	C₁₉×#124	1	1	yes	characteristic
353	C₂×C₄	C₁₉×#127	1	1	yes	characteristic
354	C₈	—	4	4	no	—
355	C₂²	—	4	8	no	—
356	C₂²	—	4	16	no	—
357	C₂²	—	8	4	no	—
358	C₂²	—	8	4	no	—
359	C₂²	—	8	8	no	—
360	C₂²	—	8	8	no	—
361	C₂²	—	8	8	no	—
362	C₂²	—	8	16	no	—
363	C₂²	C₁₉×#379	1	1	yes	characteristic
364	C₂²	C₁₉×#390	1	1	yes	characteristic
365	C₂²	C₁₉×#390	1	1	yes	characteristic
366	C₂²	C₁₉×#392	1	2	yes	—
367	C₂²	C₁₉×#394	1	2	yes	—
368	C₂²	C₂×C₁₉×#102	1	2	yes	—
369	C₂²	C₁₉×#418	1	2	yes	—
370	C₂²	C₁₉×#447	1	4	yes	—
371	C₂²	C₁₉×#450	1	4	yes	—
372	C₂²	C₁₉×#459	1	4	yes	—
373	C₂²	C₁₉×#460	1	4	yes	—
374	C₂²	C₁₉×#486	1	2	yes	—
375	C₂²	C₁₉×#490	1	2	yes	—
376	C₂²	C₁₉×#492	1	1	yes	characteristic
377	C₂²	C₁₉×#493	1	1	yes	characteristic
378	C₂²	C₁₉×#496	1	2	yes	—
379	C₄	—	2	8	no	—
380	C₄	—	8	4	no	—
381	C₄	C₁₉×#386	1	4	yes	—
382	C₄	C₁₉×#392	1	2	yes	—
383	C₄	C₁₉×#394	1	2	yes	—
384	C₂	—	8	8	no	—
385	C₂	C₁₉×#1438	1	1	yes	characteristic
386	C₂	C₁₉×#1786	1	2	yes	—
387	C₂	C₁₉×#1957	1	1	yes	characteristic
388	C₂	C₁₉×#1961	1	1	yes	characteristic
389	C₂	C₁₉×#1982	1	2	yes	—
390	C₂	C₁₉×#2011	1	2	yes	—
391	C₂	C₁₉×#2014	1	2	yes	—
392	C₂	C₁₉×#2041	1	4	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₁₉	C₂×D₄
commutator	C₂²×C₄	C₂²×C₄×C₁₉
Frattini, cosocle	C₂³×C₄	C₂³×C₁₉
prime radical	C₂²×C₁₉×#127	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₉ ◁ C₂²×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂²×C₁₉×#102	C₂	semidirect
3. C₂×C₁₉×#336	C₂	semidirect
4. C₁₉×C₄⋊#95	C₂	semidirect
10. C₂×C₁₉×#127	C₄	semidirect
39. C₂²×C₈×C₁₉	D₄	semidirect
45. C₂×C₄⋊C₄×C₁₉	D₄	semidirect
107. #11008	C₁₉	direct (N × H)
146. C₂×C₄×C₁₉	#102	semidirect
160. C₂²×#102	C₂×C₁₉	semidirect
161. C₂×#336	C₂×C₁₉	semidirect
162. C₄⋊#95	C₂×C₁₉	semidirect
197. C₂×#127	C₄×C₁₉	semidirect
235. C₂²×C₈	D₄×C₁₉	semidirect
241. C₂×C₄⋊C₄	D₄×C₁₉	semidirect
247. C₁₉	#11008	direct (N × H)
342. C₂×C₄	C₁₉×#102	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₁₉×#127	2
C₂²×C₁₉×#102	2
C₂×C₁₉×#336	2
C₁₉×C₄⋊#95	2
#11008	19

Subgroups — C19×#11008 #18016967

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#11008 #18016967