Subgroups — C₁₉×#13329 #18019288

Order 4864.

578 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×Q₃₂	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₉×SD₃₂	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#495	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₉×#358	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₉×#357	C₂	1	1	yes	maximal, characteristic
6	C₁₉×#1969	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×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
10	C₂²×SD₁₆×C₁₉	—	2	1	no	—
11	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×#124	—	2	1	no	—
13	C₂×C₁₉×Q₃₂	—	2	2	no	—
14	C₂×C₁₉×Q₃₂	—	2	2	no	—
15	C₂×C₁₉×Q₃₂	—	2	2	no	—
16	C₂×C₁₉×SD₃₂	—	2	2	no	—
17	C₂×C₁₉×SD₃₂	—	2	2	no	—
18	C₂×C₁₉×SD₃₂	—	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×#103	—	2	1	no	—
25	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
26	C₁₉×#391	—	2	1	no	—
27	C₁₉×#358	—	2	2	no	—
28	C₁₉×#357	—	2	2	no	—
29	C₂²×Q₈×C₁₉	—	2	1	no	—
30	C₂²×Q₈×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	—	2	1	no	—
38	C₂×Q₁₆×C₁₉	—	2	1	no	—
39	C₂×Q₁₆×C₁₉	—	2	1	no	—
40	C₂×Q₁₆×C₁₉	—	2	1	no	—
41	C₂×Q₁₆×C₁₉	—	2	1	no	—
42	C₂×Q₁₆×C₁₉	D₄	1	2	yes	—
43	C₂×Q₁₆×C₁₉	D₄	1	2	yes	—
44	C₂×SD₁₆×C₁₉	—	2	4	no	—
45	C₂×SD₁₆×C₁₉	—	4	2	no	—
46	C₂×SD₁₆×C₁₉	—	4	2	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	—	2	1	no	—
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×C₄²×C₁₉	D₄	1	1	yes	characteristic
60	C₁₉×Q₃₂	—	2	8	no	—
61	C₁₉×SD₃₂	—	2	8	no	—
62	C₂×C₁₆×C₁₉	—	2	1	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	D₄	1	2	yes	—
67	C₂×C₁₆×C₁₉	D₄	1	2	yes	—
68	C₁₉×#107	—	2	1	no	—
69	C₁₉×#107	—	2	1	no	—
70	C₁₉×#103	—	4	2	no	—
71	C₄×C₈×C₁₉	—	2	1	no	—
72	C₄×C₈×C₁₉	—	2	1	no	—
73	C₁₉×#95	—	4	2	no	—
74	C₂⁴×C₁₉	—	4	1	no	—
75	C₂×Q₈×C₁₉	—	2	2	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×Q₈×C₁₉	—	4	1	no	—
83	C₂×Q₈×C₁₉	—	4	1	no	—
84	C₂×Q₈×C₁₉	—	4	1	no	—
85	C₂×Q₈×C₁₉	—	4	1	no	—
86	C₂×Q₈×C₁₉	—	4	1	no	—
87	C₂×D₄×C₁₉	—	2	2	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	C₂²×C₄×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	—	2	2	no	—
101	Q₁₆×C₁₉	—	2	2	no	—
102	Q₁₆×C₁₉	—	4	1	no	—
103	Q₁₆×C₁₉	—	4	1	no	—
104	Q₁₆×C₁₉	—	4	1	no	—
105	Q₁₆×C₁₉	—	4	1	no	—
106	SD₁₆×C₁₉	—	4	8	no	—
107	D₈×C₁₉	—	2	2	no	—
108	D₈×C₁₉	—	2	2	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	C₄²×C₁₉	—	2	1	no	—
124	C₄²×C₁₉	—	2	1	no	—
125	C₁₆×C₁₉	—	2	2	no	—
126	C₁₆×C₁₉	—	2	2	no	—
127	#13329	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
128	C₂³×C₁₉	—	4	2	no	—
129	C₂³×C₁₉	—	8	1	no	—
130	C₂³×C₁₉	—	8	1	no	—
131	C₂³×C₁₉	—	8	2	no	—
132	C₂³×C₁₉	—	8	2	no	—
133	C₂³×C₁₉	C₂×D₈	1	1	yes	characteristic
134	Q₈×C₁₉	—	4	2	no	—
135	Q₈×C₁₉	—	4	2	no	—
136	Q₈×C₁₉	—	4	2	no	—
137	Q₈×C₁₉	—	4	2	no	—
138	Q₈×C₁₉	—	8	1	no	—
139	Q₈×C₁₉	—	8	1	no	—
140	Q₈×C₁₉	—	8	1	no	—
141	Q₈×C₁₉	—	8	1	no	—
142	D₄×C₁₉	—	4	2	no	—
143	D₄×C₁₉	—	4	2	no	—
144	D₄×C₁₉	—	8	1	no	—
145	D₄×C₁₉	—	8	1	no	—
146	C₂×C₄×C₁₉	—	2	2	no	—
147	C₂×C₄×C₁₉	—	2	2	no	—
148	C₂×C₄×C₁₉	—	2	2	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	2	no	—
151	C₂×C₄×C₁₉	—	8	1	no	—
152	C₂×C₄×C₁₉	—	8	1	no	—
153	C₂×C₄×C₁₉	—	8	1	no	—
154	C₂×C₄×C₁₉	—	8	1	no	—
155	C₂×C₄×C₁₉	—	8	1	no	—
156	C₂×C₄×C₁₉	—	8	2	no	—
157	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
160	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
161	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
162	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
163	C₈×C₁₉	—	2	2	no	—
164	C₈×C₁₉	#120	1	1	yes	characteristic
165	C₈×C₁₉	#120	1	1	yes	characteristic
166	C₈×C₁₉	#121	1	1	yes	characteristic
167	C₈×C₁₉	#121	1	1	yes	characteristic
168	C₂²×Q₃₂	C₂×C₁₉	1	1	yes	characteristic, complemented
169	C₂²×SD₃₂	C₂×C₁₉	1	1	yes	characteristic
170	C₂×#495	C₂×C₁₉	1	1	yes	characteristic
171	C₂×#358	C₂×C₁₉	1	1	yes	characteristic, complemented
172	C₂×#357	C₂×C₁₉	1	1	yes	characteristic
173	#1969	C₂×C₁₉	1	1	yes	characteristic, complemented
174	#1374	C₂×C₁₉	1	1	yes	characteristic, complemented
175	C₂²×C₁₉	—	8	4	no	—
176	C₂²×C₁₉	—	8	2	no	—
177	C₂²×C₁₉	—	16	2	no	—
178	C₂²×C₁₉	—	16	1	no	—
179	C₂²×C₁₉	—	16	1	no	—
180	C₂²×C₁₉	#447	1	1	yes	characteristic
181	C₂²×C₁₉	#459	1	1	yes	characteristic
182	C₂²×C₁₉	#493	1	1	yes	characteristic
183	C₂²×C₁₉	#508	1	2	yes	—
184	C₂²×C₁₉	#510	1	2	yes	—
185	C₄×C₁₉	—	4	2	no	—
186	C₄×C₁₉	—	8	2	no	—
187	C₄×C₁₉	—	8	2	no	—
188	C₄×C₁₉	—	16	1	no	—
189	C₄×C₁₉	#392	1	1	yes	characteristic
190	C₄×C₁₉	#447	1	1	yes	characteristic
191	C₄×C₁₉	#459	1	1	yes	characteristic
192	C₄×C₁₉	#496	1	1	yes	characteristic
193	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
194	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
195	C₂²×SD₁₆	—	2	1	no	—
196	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic
197	C₂×#124	—	2	1	no	—
198	C₂×Q₃₂	—	2	2	no	—
199	C₂×Q₃₂	—	2	2	no	—
200	C₂×Q₃₂	—	2	2	no	—
201	C₂×SD₃₂	—	2	2	no	—
202	C₂×SD₃₂	—	2	2	no	—
203	C₂×SD₃₂	—	2	2	no	—
204	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
205	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
206	#495	—	2	2	no	—
207	#495	—	2	2	no	—
208	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic
209	C₂×#103	—	2	1	no	—
210	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
211	#391	—	2	1	no	—
212	#358	—	2	2	no	—
213	#357	—	2	2	no	—
214	C₂×C₁₉	—	16	2	no	—
215	C₂×C₁₉	#2011	1	1	yes	characteristic
216	C₂×C₁₉	#2189	1	2	yes	—
217	C₂×C₁₉	#2211	1	2	yes	—
218	C₂×C₁₉	#2249	1	1	yes	characteristic
219	C₂×C₁₉	#2251	1	1	yes	characteristic
220	C₂²×Q₈	—	2	1	no	—
221	C₂²×Q₈	—	2	1	no	—
222	C₂²×D₄	—	2	1	no	—
223	C₂×Q₁₆	—	2	1	no	—
224	C₂×Q₁₆	—	2	1	no	—
225	C₂×Q₁₆	—	2	1	no	—
226	C₂×Q₁₆	—	2	1	no	—
227	C₂×Q₁₆	—	2	1	no	—
228	C₂×Q₁₆	—	2	1	no	—
229	C₂×Q₁₆	—	2	1	no	—
230	C₂×Q₁₆	—	2	1	no	—
231	C₂×Q₁₆	—	2	1	no	—
232	C₂×Q₁₆	—	2	1	no	—
233	C₂×Q₁₆	D₄×C₁₉	1	2	yes	—
234	C₂×Q₁₆	D₄×C₁₉	1	2	yes	—
235	C₂×SD₁₆	—	2	4	no	—
236	C₂×SD₁₆	—	4	2	no	—
237	C₂×SD₁₆	—	4	2	no	—
238	C₂×D₈	—	2	1	no	—
239	C₂×D₈	—	2	1	no	—
240	C₂×D₈	—	2	1	no	—
241	C₂×D₈	—	2	1	no	—
242	C₂×D₈	—	2	1	no	—
243	C₂×D₈	D₄×C₁₉	1	2	yes	—
244	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
245	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
246	#124	—	2	4	no	—
247	#124	—	4	2	no	—
248	C₂×C₄⋊C₄	—	2	1	no	—
249	C₂×C₂²⋊C₄	—	4	2	no	—
250	C₂×C₄²	D₄×C₁₉	1	1	yes	characteristic
251	Q₃₂	—	2	8	no	—
252	SD₃₂	—	2	8	no	—
253	C₂×C₁₆	—	2	1	no	—
254	C₂×C₁₆	—	2	1	no	—
255	C₂×C₁₆	—	2	1	no	—
256	C₂×C₁₆	—	2	1	no	—
257	C₂×C₁₆	D₄×C₁₉	1	2	yes	—
258	C₂×C₁₆	D₄×C₁₉	1	2	yes	—
259	#107	—	2	1	no	—
260	#107	—	2	1	no	—
261	#103	—	4	2	no	—
262	C₄×C₈	—	2	1	no	—
263	C₄×C₈	—	2	1	no	—
264	#95	—	4	2	no	—
265	C₁₉	#13329	1	1	yes	characteristic, direct product factor, Sylow
266	C₂⁴	—	4	1	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	4	1	no	—
270	C₂×Q₈	—	4	1	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×Q₈	—	4	1	no	—
273	C₂×Q₈	—	4	1	no	—
274	C₂×Q₈	—	4	1	no	—
275	C₂×Q₈	—	4	1	no	—
276	C₂×Q₈	—	4	1	no	—
277	C₂×Q₈	—	4	1	no	—
278	C₂×Q₈	—	4	1	no	—
279	C₂×D₄	—	2	2	no	—
280	C₂×D₄	—	4	1	no	—
281	C₂×D₄	—	4	1	no	—
282	C₂×D₄	—	4	1	no	—
283	C₂×D₄	—	4	1	no	—
284	C₂×D₄	—	4	1	no	—
285	C₂²×C₄	—	4	1	no	—
286	C₂²×C₄	—	4	1	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	D₈×C₁₉	1	2	yes	—
289	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
290	Q₁₆	—	2	2	no	—
291	Q₁₆	—	2	2	no	—
292	Q₁₆	—	2	2	no	—
293	Q₁₆	—	2	2	no	—
294	Q₁₆	—	4	1	no	—
295	Q₁₆	—	4	1	no	—
296	Q₁₆	—	4	1	no	—
297	Q₁₆	—	4	1	no	—
298	SD₁₆	—	4	8	no	—
299	D₈	—	2	2	no	—
300	D₈	—	2	2	no	—
301	D₈	—	4	1	no	—
302	D₈	—	4	1	no	—
303	C₂×C₈	—	2	1	no	—
304	C₂×C₈	—	2	1	no	—
305	C₂×C₈	D₈×C₁₉	1	2	yes	—
306	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
307	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
308	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
309	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
310	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
311	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
312	C₄⋊C₄	—	4	1	no	—
313	C₄⋊C₄	—	4	1	no	—
314	C₂²⋊C₄	—	4	8	no	—
315	C₄²	—	2	1	no	—
316	C₄²	—	2	1	no	—
317	C₁₆	—	2	2	no	—
318	C₁₆	—	2	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	8	1	no	—
321	C₂³	—	8	1	no	—
322	C₂³	—	8	2	no	—
323	C₂³	—	8	2	no	—
324	C₂³	C₂×D₈×C₁₉	1	1	yes	characteristic
325	Q₈	—	4	2	no	—
326	Q₈	—	4	2	no	—
327	Q₈	—	4	2	no	—
328	Q₈	—	4	2	no	—
329	Q₈	—	8	1	no	—
330	Q₈	—	8	1	no	—
331	Q₈	—	8	1	no	—
332	Q₈	—	8	1	no	—
333	D₄	—	4	2	no	—
334	D₄	—	4	2	no	—
335	D₄	—	8	1	no	—
336	D₄	—	8	1	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	8	1	no	—
343	C₂×C₄	—	8	1	no	—
344	C₂×C₄	—	8	1	no	—
345	C₂×C₄	—	8	1	no	—
346	C₂×C₄	—	8	1	no	—
347	C₂×C₄	—	8	2	no	—
348	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
349	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
350	C₂×C₄	C₁₉×#127	1	1	yes	characteristic
351	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
352	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
353	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
354	C₈	—	2	2	no	—
355	C₈	C₁₉×#120	1	1	yes	characteristic
356	C₈	C₁₉×#120	1	1	yes	characteristic
357	C₈	C₁₉×#121	1	1	yes	characteristic
358	C₈	C₁₉×#121	1	1	yes	characteristic
359	C₂²	—	8	4	no	—
360	C₂²	—	8	2	no	—
361	C₂²	—	16	2	no	—
362	C₂²	—	16	1	no	—
363	C₂²	—	16	1	no	—
364	C₂²	C₁₉×#447	1	1	yes	characteristic
365	C₂²	C₁₉×#459	1	1	yes	characteristic
366	C₂²	C₁₉×#493	1	1	yes	characteristic
367	C₂²	C₁₉×#508	1	2	yes	—
368	C₂²	C₁₉×#510	1	2	yes	—
369	C₄	—	4	2	no	—
370	C₄	—	8	2	no	—
371	C₄	—	8	2	no	—
372	C₄	—	16	1	no	—
373	C₄	C₁₉×#392	1	1	yes	characteristic
374	C₄	C₁₉×#447	1	1	yes	characteristic
375	C₄	C₁₉×#459	1	1	yes	characteristic
376	C₄	C₁₉×#496	1	1	yes	characteristic
377	C₂	—	16	2	no	—
378	C₂	C₁₉×#2011	1	1	yes	characteristic
379	C₂	C₁₉×#2189	1	2	yes	—
380	C₂	C₁₉×#2211	1	2	yes	—
381	C₂	C₁₉×#2249	1	1	yes	characteristic
382	C₂	C₁₉×#2251	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂×D₈
commutator, Frattini, cosocle	C₂²×C₈	C₂³×C₁₉
prime radical	C₂²×D₈×C₁₉	C₂²
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×Q₃₂	C₂	semidirect
4. C₂×C₁₉×#358	C₂	semidirect
6. C₁₉×#1969	C₂	semidirect
7. C₁₉×#1374	C₂	semidirect
127. #13329	C₁₉	direct (N × H)
168. C₂²×Q₃₂	C₂×C₁₉	semidirect
171. C₂×#358	C₂×C₁₉	semidirect
173. #1969	C₂×C₁₉	semidirect
174. #1374	C₂×C₁₉	semidirect
265. C₁₉	#13329	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×Q₃₂	2
C₂²×C₁₉×SD₃₂	2
C₂×C₁₉×#495	2
C₂×C₁₉×#358	2
C₂×C₁₉×#357	2
C₁₉×#1969	2
C₁₉×#1374	2
#13329	19

Subgroups — C19×#13329 #18019288

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13329 #18019288