Subgroups — C₁₉×#13326 #18019285

Order 4864.

614 conjugacy classes of subgroups.

The subgroup lattice has 400 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×SD₃₂	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₉×D₁₆	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#495	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#358	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₉×#357	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1970	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1374	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
9	C₂²×SD₁₆×C₁₉	—	2	1	no	—
10	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic
11	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×#124	—	2	1	no	—
13	C₂×C₁₉×SD₃₂	—	2	2	no	—
14	C₂×C₁₉×SD₃₂	—	2	2	no	—
15	C₂×C₁₉×SD₃₂	—	2	2	no	—
16	C₂×C₁₉×D₁₆	—	2	2	no	—
17	C₂×C₁₉×D₁₆	—	2	2	no	—
18	C₂×C₁₉×D₁₆	—	2	2	no	—
19	C₂²×C₁₆×C₁₉	C₂²	1	1	yes	characteristic
20	C₂²×C₁₆×C₁₉	C₂²	1	1	yes	characteristic
21	C₁₉×#495	—	2	2	no	—
22	C₁₉×#495	—	2	2	no	—
23	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic
24	C₂×C₁₉×#102	—	2	1	no	—
25	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
26	C₁₉×#390	—	2	1	no	—
27	C₁₉×#358	—	2	2	no	—
28	C₁₉×#357	—	2	2	no	—
29	C₂²×Q₈×C₁₉	—	2	1	no	—
30	C₂²×D₄×C₁₉	—	2	1	no	—
31	C₂²×D₄×C₁₉	—	2	1	no	—
32	C₂×Q₁₆×C₁₉	—	2	1	no	—
33	C₂×Q₁₆×C₁₉	—	2	1	no	—
34	C₂×Q₁₆×C₁₉	—	2	1	no	—
35	C₂×Q₁₆×C₁₉	—	2	1	no	—
36	C₂×Q₁₆×C₁₉	—	2	1	no	—
37	C₂×Q₁₆×C₁₉	D₄	1	2	yes	—
38	C₂×SD₁₆×C₁₉	—	2	4	no	—
39	C₂×SD₁₆×C₁₉	—	4	2	no	—
40	C₂×SD₁₆×C₁₉	—	4	2	no	—
41	C₂×D₈×C₁₉	—	2	1	no	—
42	C₂×D₈×C₁₉	—	2	1	no	—
43	C₂×D₈×C₁₉	—	2	1	no	—
44	C₂×D₈×C₁₉	—	2	1	no	—
45	C₂×D₈×C₁₉	—	2	1	no	—
46	C₂×D₈×C₁₉	—	2	1	no	—
47	C₂×D₈×C₁₉	—	2	1	no	—
48	C₂×D₈×C₁₉	—	2	1	no	—
49	C₂×D₈×C₁₉	—	2	1	no	—
50	C₂×D₈×C₁₉	—	2	1	no	—
51	C₂×D₈×C₁₉	D₄	1	2	yes	—
52	C₂×D₈×C₁₉	D₄	1	2	yes	—
53	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
54	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
55	C₁₉×#124	—	2	4	no	—
56	C₁₉×#124	—	4	2	no	—
57	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
58	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
59	C₂×C₂²⋊C₄×C₁₉	—	4	2	no	—
60	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
61	C₁₉×SD₃₂	—	2	8	no	—
62	C₁₉×D₁₆	—	2	8	no	—
63	C₂×C₁₆×C₁₉	—	2	1	no	—
64	C₂×C₁₆×C₁₉	—	2	1	no	—
65	C₂×C₁₆×C₁₉	—	2	1	no	—
66	C₂×C₁₆×C₁₉	—	2	1	no	—
67	C₂×C₁₆×C₁₉	D₄	1	2	yes	—
68	C₂×C₁₆×C₁₉	D₄	1	2	yes	—
69	C₁₉×#107	—	2	1	no	—
70	C₁₉×#107	—	2	1	no	—
71	C₁₉×#102	—	4	2	no	—
72	C₄×C₈×C₁₉	—	2	1	no	—
73	C₄×C₈×C₁₉	—	2	1	no	—
74	C₂⁴×C₁₉	—	4	1	no	—
75	C₂⁴×C₁₉	—	4	1	no	—
76	C₂×Q₈×C₁₉	—	2	2	no	—
77	C₂×Q₈×C₁₉	—	4	1	no	—
78	C₂×Q₈×C₁₉	—	4	1	no	—
79	C₂×Q₈×C₁₉	—	4	1	no	—
80	C₂×Q₈×C₁₉	—	4	1	no	—
81	C₂×Q₈×C₁₉	—	4	1	no	—
82	C₂×D₄×C₁₉	—	2	2	no	—
83	C₂×D₄×C₁₉	—	2	2	no	—
84	C₂×D₄×C₁₉	—	4	1	no	—
85	C₂×D₄×C₁₉	—	4	1	no	—
86	C₂×D₄×C₁₉	—	4	1	no	—
87	C₂×D₄×C₁₉	—	4	1	no	—
88	C₂×D₄×C₁₉	—	4	1	no	—
89	C₂×D₄×C₁₉	—	4	1	no	—
90	C₂×D₄×C₁₉	—	4	1	no	—
91	C₂×D₄×C₁₉	—	4	1	no	—
92	C₂×D₄×C₁₉	—	4	1	no	—
93	C₂×D₄×C₁₉	—	4	1	no	—
94	C₂²×C₄×C₁₉	—	4	1	no	—
95	C₂²×C₄×C₁₉	—	4	1	no	—
96	C₂²×C₄×C₁₉	D₈	1	2	yes	—
97	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
98	Q₁₆×C₁₉	—	2	2	no	—
99	Q₁₆×C₁₉	—	2	2	no	—
100	Q₁₆×C₁₉	—	4	1	no	—
101	Q₁₆×C₁₉	—	4	1	no	—
102	SD₁₆×C₁₉	—	4	8	no	—
103	D₈×C₁₉	—	2	2	no	—
104	D₈×C₁₉	—	2	2	no	—
105	D₈×C₁₉	—	2	2	no	—
106	D₈×C₁₉	—	2	2	no	—
107	D₈×C₁₉	—	4	1	no	—
108	D₈×C₁₉	—	4	1	no	—
109	D₈×C₁₉	—	4	1	no	—
110	D₈×C₁₉	—	4	1	no	—
111	C₂×C₈×C₁₉	—	2	1	no	—
112	C₂×C₈×C₁₉	—	2	1	no	—
113	C₂×C₈×C₁₉	D₈	1	2	yes	—
114	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
120	C₄⋊C₄×C₁₉	—	4	1	no	—
121	C₄⋊C₄×C₁₉	—	4	1	no	—
122	C₂²⋊C₄×C₁₉	—	4	8	no	—
123	C₂²⋊C₄×C₁₉	—	8	4	no	—
124	C₄²×C₁₉	—	2	1	no	—
125	C₄²×C₁₉	—	2	1	no	—
126	C₁₆×C₁₉	—	2	2	no	—
127	C₁₆×C₁₉	—	2	2	no	—
128	#13326	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
129	C₂³×C₁₉	—	4	2	no	—
130	C₂³×C₁₉	—	4	2	no	—
131	C₂³×C₁₉	—	8	1	no	—
132	C₂³×C₁₉	—	8	1	no	—
133	C₂³×C₁₉	—	8	1	no	—
134	C₂³×C₁₉	—	8	1	no	—
135	C₂³×C₁₉	—	8	2	no	—
136	C₂³×C₁₉	—	8	2	no	—
137	C₂³×C₁₉	—	8	2	no	—
138	C₂³×C₁₉	—	8	2	no	—
139	C₂³×C₁₉	C₂×D₈	1	1	yes	characteristic
140	Q₈×C₁₉	—	4	2	no	—
141	Q₈×C₁₉	—	4	2	no	—
142	Q₈×C₁₉	—	8	1	no	—
143	Q₈×C₁₉	—	8	1	no	—
144	D₄×C₁₉	—	4	2	no	—
145	D₄×C₁₉	—	4	2	no	—
146	D₄×C₁₉	—	4	2	no	—
147	D₄×C₁₉	—	4	2	no	—
148	D₄×C₁₉	—	8	1	no	—
149	D₄×C₁₉	—	8	1	no	—
150	D₄×C₁₉	—	8	1	no	—
151	D₄×C₁₉	—	8	1	no	—
152	C₂×C₄×C₁₉	—	2	2	no	—
153	C₂×C₄×C₁₉	—	2	2	no	—
154	C₂×C₄×C₁₉	—	2	2	no	—
155	C₂×C₄×C₁₉	—	4	2	no	—
156	C₂×C₄×C₁₉	—	8	1	no	—
157	C₂×C₄×C₁₉	—	8	1	no	—
158	C₂×C₄×C₁₉	—	8	1	no	—
159	C₂×C₄×C₁₉	—	8	2	no	—
160	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
163	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
164	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
165	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
166	C₈×C₁₉	—	2	2	no	—
167	C₈×C₁₉	#120	1	1	yes	characteristic
168	C₈×C₁₉	#120	1	1	yes	characteristic
169	C₈×C₁₉	#121	1	1	yes	characteristic
170	C₈×C₁₉	#121	1	1	yes	characteristic
171	C₂²×SD₃₂	C₂×C₁₉	1	1	yes	characteristic, complemented
172	C₂²×D₁₆	C₂×C₁₉	1	1	yes	characteristic
173	C₂×#495	C₂×C₁₉	1	1	yes	characteristic, complemented
174	C₂×#358	C₂×C₁₉	1	1	yes	characteristic, complemented
175	C₂×#357	C₂×C₁₉	1	1	yes	characteristic, complemented
176	#1970	C₂×C₁₉	1	1	yes	characteristic, complemented
177	#1374	C₂×C₁₉	1	1	yes	characteristic, complemented
178	C₂²×C₁₉	—	8	4	no	—
179	C₂²×C₁₉	—	8	4	no	—
180	C₂²×C₁₉	—	8	2	no	—
181	C₂²×C₁₉	—	8	2	no	—
182	C₂²×C₁₉	—	16	2	no	—
183	C₂²×C₁₉	—	16	2	no	—
184	C₂²×C₁₉	—	16	1	no	—
185	C₂²×C₁₉	—	16	1	no	—
186	C₂²×C₁₉	—	16	1	no	—
187	C₂²×C₁₉	—	16	1	no	—
188	C₂²×C₁₉	#447	1	1	yes	characteristic
189	C₂²×C₁₉	#459	1	1	yes	characteristic
190	C₂²×C₁₉	#493	1	1	yes	characteristic
191	C₂²×C₁₉	#508	1	2	yes	—
192	C₂²×C₁₉	#509	1	2	yes	—
193	C₄×C₁₉	—	4	2	no	—
194	C₄×C₁₉	—	8	2	no	—
195	C₄×C₁₉	—	16	1	no	—
196	C₄×C₁₉	#392	1	1	yes	characteristic
197	C₄×C₁₉	#447	1	1	yes	characteristic
198	C₄×C₁₉	#459	1	1	yes	characteristic
199	C₄×C₁₉	#496	1	1	yes	characteristic
200	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
201	C₂²×SD₁₆	—	2	1	no	—
202	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic
203	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic
204	C₂×#124	—	2	1	no	—
205	C₂×SD₃₂	—	2	2	no	—
206	C₂×SD₃₂	—	2	2	no	—
207	C₂×SD₃₂	—	2	2	no	—
208	C₂×D₁₆	—	2	2	no	—
209	C₂×D₁₆	—	2	2	no	—
210	C₂×D₁₆	—	2	2	no	—
211	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
212	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
213	#495	—	2	2	no	—
214	#495	—	2	2	no	—
215	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
216	C₂×#102	—	2	1	no	—
217	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
218	#390	—	2	1	no	—
219	#358	—	2	2	no	—
220	#357	—	2	2	no	—
221	C₂×C₁₉	—	16	2	no	—
222	C₂×C₁₉	—	16	2	no	—
223	C₂×C₁₉	#2011	1	1	yes	characteristic
224	C₂×C₁₉	#2186	1	2	yes	—
225	C₂×C₁₉	#2210	1	2	yes	—
226	C₂×C₁₉	#2249	1	1	yes	characteristic
227	C₂×C₁₉	#2250	1	1	yes	characteristic
228	C₂²×Q₈	—	2	1	no	—
229	C₂²×D₄	—	2	1	no	—
230	C₂²×D₄	—	2	1	no	—
231	C₂×Q₁₆	—	2	1	no	—
232	C₂×Q₁₆	—	2	1	no	—
233	C₂×Q₁₆	—	2	1	no	—
234	C₂×Q₁₆	—	2	1	no	—
235	C₂×Q₁₆	—	2	1	no	—
236	C₂×Q₁₆	D₄×C₁₉	1	2	yes	—
237	C₂×SD₁₆	—	2	4	no	—
238	C₂×SD₁₆	—	4	2	no	—
239	C₂×SD₁₆	—	4	2	no	—
240	C₂×D₈	—	2	1	no	—
241	C₂×D₈	—	2	1	no	—
242	C₂×D₈	—	2	1	no	—
243	C₂×D₈	—	2	1	no	—
244	C₂×D₈	—	2	1	no	—
245	C₂×D₈	—	2	1	no	—
246	C₂×D₈	—	2	1	no	—
247	C₂×D₈	—	2	1	no	—
248	C₂×D₈	—	2	1	no	—
249	C₂×D₈	—	2	1	no	—
250	C₂×D₈	D₄×C₁₉	1	2	yes	—
251	C₂×D₈	D₄×C₁₉	1	2	yes	—
252	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
253	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
254	#124	—	2	4	no	—
255	#124	—	4	2	no	—
256	C₂×C₄⋊C₄	—	2	1	no	—
257	C₂×C₂²⋊C₄	—	4	2	no	—
258	C₂×C₂²⋊C₄	—	4	2	no	—
259	C₂×C₄²	D₄×C₁₉	1	1	yes	characteristic
260	SD₃₂	—	2	8	no	—
261	D₁₆	—	2	8	no	—
262	C₂×C₁₆	—	2	1	no	—
263	C₂×C₁₆	—	2	1	no	—
264	C₂×C₁₆	—	2	1	no	—
265	C₂×C₁₆	—	2	1	no	—
266	C₂×C₁₆	D₄×C₁₉	1	2	yes	—
267	C₂×C₁₆	D₄×C₁₉	1	2	yes	—
268	#107	—	2	1	no	—
269	#107	—	2	1	no	—
270	#102	—	4	2	no	—
271	C₄×C₈	—	2	1	no	—
272	C₄×C₈	—	2	1	no	—
273	C₁₉	#13326	1	1	yes	characteristic, direct product factor, Sylow
274	C₂⁴	—	4	1	no	—
275	C₂⁴	—	4	1	no	—
276	C₂×Q₈	—	2	2	no	—
277	C₂×Q₈	—	4	1	no	—
278	C₂×Q₈	—	4	1	no	—
279	C₂×Q₈	—	4	1	no	—
280	C₂×Q₈	—	4	1	no	—
281	C₂×Q₈	—	4	1	no	—
282	C₂×D₄	—	2	2	no	—
283	C₂×D₄	—	2	2	no	—
284	C₂×D₄	—	4	1	no	—
285	C₂×D₄	—	4	1	no	—
286	C₂×D₄	—	4	1	no	—
287	C₂×D₄	—	4	1	no	—
288	C₂×D₄	—	4	1	no	—
289	C₂×D₄	—	4	1	no	—
290	C₂×D₄	—	4	1	no	—
291	C₂×D₄	—	4	1	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	4	1	no	—
294	C₂²×C₄	—	4	1	no	—
295	C₂²×C₄	—	4	1	no	—
296	C₂²×C₄	D₈×C₁₉	1	2	yes	—
297	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
298	Q₁₆	—	2	2	no	—
299	Q₁₆	—	2	2	no	—
300	Q₁₆	—	4	1	no	—
301	Q₁₆	—	4	1	no	—
302	SD₁₆	—	4	8	no	—
303	D₈	—	2	2	no	—
304	D₈	—	2	2	no	—
305	D₈	—	2	2	no	—
306	D₈	—	2	2	no	—
307	D₈	—	4	1	no	—
308	D₈	—	4	1	no	—
309	D₈	—	4	1	no	—
310	D₈	—	4	1	no	—
311	C₂×C₈	—	2	1	no	—
312	C₂×C₈	—	2	1	no	—
313	C₂×C₈	D₈×C₁₉	1	2	yes	—
314	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
315	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
316	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
317	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
318	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
319	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
320	C₄⋊C₄	—	4	1	no	—
321	C₄⋊C₄	—	4	1	no	—
322	C₂²⋊C₄	—	4	8	no	—
323	C₂²⋊C₄	—	8	4	no	—
324	C₄²	—	2	1	no	—
325	C₄²	—	2	1	no	—
326	C₁₆	—	2	2	no	—
327	C₁₆	—	2	2	no	—
328	C₂³	—	4	2	no	—
329	C₂³	—	4	2	no	—
330	C₂³	—	8	1	no	—
331	C₂³	—	8	1	no	—
332	C₂³	—	8	1	no	—
333	C₂³	—	8	1	no	—
334	C₂³	—	8	2	no	—
335	C₂³	—	8	2	no	—
336	C₂³	—	8	2	no	—
337	C₂³	—	8	2	no	—
338	C₂³	C₂×D₈×C₁₉	1	1	yes	characteristic
339	Q₈	—	4	2	no	—
340	Q₈	—	4	2	no	—
341	Q₈	—	8	1	no	—
342	Q₈	—	8	1	no	—
343	D₄	—	4	2	no	—
344	D₄	—	4	2	no	—
345	D₄	—	4	2	no	—
346	D₄	—	4	2	no	—
347	D₄	—	8	1	no	—
348	D₄	—	8	1	no	—
349	D₄	—	8	1	no	—
350	D₄	—	8	1	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	8	1	no	—
356	C₂×C₄	—	8	1	no	—
357	C₂×C₄	—	8	1	no	—
358	C₂×C₄	—	8	2	no	—
359	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
360	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
361	C₂×C₄	C₁₉×#127	1	1	yes	characteristic
362	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
363	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
364	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
365	C₈	—	2	2	no	—
366	C₈	C₁₉×#120	1	1	yes	characteristic
367	C₈	C₁₉×#120	1	1	yes	characteristic
368	C₈	C₁₉×#121	1	1	yes	characteristic
369	C₈	C₁₉×#121	1	1	yes	characteristic
370	C₂²	—	8	4	no	—
371	C₂²	—	8	4	no	—
372	C₂²	—	8	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	—	16	2	no	—
375	C₂²	—	16	2	no	—
376	C₂²	—	16	1	no	—
377	C₂²	—	16	1	no	—
378	C₂²	—	16	1	no	—
379	C₂²	—	16	1	no	—
380	C₂²	C₁₉×#447	1	1	yes	characteristic
381	C₂²	C₁₉×#459	1	1	yes	characteristic
382	C₂²	C₁₉×#493	1	1	yes	characteristic
383	C₂²	C₁₉×#508	1	2	yes	—
384	C₂²	C₁₉×#509	1	2	yes	—
385	C₄	—	4	2	no	—
386	C₄	—	8	2	no	—
387	C₄	—	16	1	no	—
388	C₄	C₁₉×#392	1	1	yes	characteristic
389	C₄	C₁₉×#447	1	1	yes	characteristic
390	C₄	C₁₉×#459	1	1	yes	characteristic
391	C₄	C₁₉×#496	1	1	yes	characteristic
392	C₂	—	16	2	no	—
393	C₂	—	16	2	no	—
394	C₂	C₁₉×#2011	1	1	yes	characteristic
395	C₂	C₁₉×#2186	1	2	yes	—
396	C₂	C₁₉×#2210	1	2	yes	—
397	C₂	C₁₉×#2249	1	1	yes	characteristic
398	C₂	C₁₉×#2250	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂×D₈
commutator, Frattini, cosocle	C₂²×C₈	C₂³×C₁₉
prime radical	C₂²×C₁₉×D₁₆	C₂
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ C₂×C₄×C₈×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₉×SD₃₂	C₂	semidirect
3. C₂×C₁₉×#495	C₂	semidirect
4. C₂×C₁₉×#358	C₂	semidirect
5. C₂×C₁₉×#357	C₂	semidirect
6. C₁₉×#1970	C₂	semidirect
7. C₁₉×#1374	C₂	semidirect
128. #13326	C₁₉	direct (N × H)
171. C₂²×SD₃₂	C₂×C₁₉	semidirect
173. C₂×#495	C₂×C₁₉	semidirect
174. C₂×#358	C₂×C₁₉	semidirect
175. C₂×#357	C₂×C₁₉	semidirect
176. #1970	C₂×C₁₉	semidirect
177. #1374	C₂×C₁₉	semidirect
273. C₁₉	#13326	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₉×SD₃₂	2
C₂²×C₁₉×D₁₆	2
C₂×C₁₉×#495	2
C₂×C₁₉×#358	2
C₂×C₁₉×#357	2
C₁₉×#1970	2
C₁₉×#1374	2
#13326	19

Subgroups — C19×#13326 #18019285

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13326 #18019285