Subgroups — C₁₉×#13324 #18019283

Order 4864.

514 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3067	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#473	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#362	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2143	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#2115	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1388	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#575	—	2	1	no	—
9	C₂×C₁₉×#137	—	2	1	no	—
10	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
11	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
12	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
13	C₁₉×#510	—	2	2	no	—
14	C₁₉×#510	—	2	2	no	—
15	C₂×C₁₉×Q₃₂	—	2	1	no	—
16	C₂×C₁₉×SD₃₂	—	2	1	no	—
17	C₂×C₁₉×M₃₂	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×M₃₂	C₂²	1	1	yes	characteristic
19	C₁₉×#473	—	2	2	no	—
20	C₁₉×#473	—	2	2	no	—
21	C₁₉×#473	—	2	1	no	—
22	C₁₉×#472	—	2	1	no	—
23	C₁₉×#471	—	2	2	no	—
24	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
26	C₁₉×#413	—	2	1	no	—
27	C₂×C₁₉×#101	—	2	1	no	—
28	C₁₉×#362	—	2	2	no	—
29	C₁₉×#359	—	2	2	no	—
30	C₁₉×#349	—	2	2	no	—
31	C₂×#41×C₁₉	—	2	1	no	—
32	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
33	C₂²×Q₈×C₁₉	—	2	1	no	—
34	C₁₉×#137	—	2	2	no	—
35	C₁₉×#137	—	2	4	no	—
36	C₁₉×#137	—	4	2	no	—
37	C₁₉×#137	—	4	1	no	—
38	C₁₉×AGL(1,ℤ/8)	—	2	2	no	—
39	C₁₉×AGL(1,ℤ/8)	—	4	1	no	—
40	C₁₉×#135	—	2	1	no	—
41	C₁₉×#135	—	2	1	no	—
42	C₁₉×#135	—	2	1	no	—
43	C₁₉×#135	—	2	1	no	—
44	C₁₉×#135	—	4	2	no	—
45	C₂×Q₁₆×C₁₉	—	2	1	no	—
46	C₂×Q₁₆×C₁₉	—	2	1	no	—
47	C₂×Q₁₆×C₁₉	—	2	1	no	—
48	C₂×Q₁₆×C₁₉	—	2	1	no	—
49	C₂×Q₁₆×C₁₉	—	2	1	no	—
50	C₂×Q₁₆×C₁₉	—	4	1	no	—
51	C₂×Q₁₆×C₁₉	D₄	1	1	yes	characteristic
52	C₂×Q₁₆×C₁₉	D₄	1	2	yes	—
53	C₂×SD₁₆×C₁₉	—	2	1	no	—
54	C₂×SD₁₆×C₁₉	—	4	1	no	—
55	C₂×D₈×C₁₉	D₄	1	1	yes	characteristic
56	C₁₉×#131	—	2	1	no	—
57	C₁₉×#131	—	2	1	no	—
58	C₁₉×#131	—	2	1	no	—
59	C₁₉×#131	—	2	1	no	—
60	C₂×M₁₆×C₁₉	—	2	1	no	—
61	C₂×M₁₆×C₁₉	—	2	1	no	—
62	C₂×M₁₆×C₁₉	—	2	1	no	—
63	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
64	C₂²×C₈×C₁₉	—	2	1	no	—
65	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
66	C₁₉×Q₃₂	—	2	4	no	—
67	C₁₉×SD₃₂	—	2	4	no	—
68	C₁₉×M₃₂	—	2	1	no	—
69	C₁₉×M₃₂	—	2	1	no	—
70	C₁₉×M₃₂	—	2	1	no	—
71	C₁₉×M₃₂	D₄	1	2	yes	—
72	C₂×C₁₆×C₁₉	—	2	1	no	—
73	C₂×C₁₆×C₁₉	—	2	1	no	—
74	C₁₉×#108	—	2	1	no	—
75	C₁₉×#108	—	2	1	no	—
76	C₁₉×#108	D₄	1	2	yes	—
77	C₁₉×#108	D₄	1	2	yes	—
78	C₁₉×#101	—	2	4	no	—
79	C₁₉×#101	—	2	2	no	—
80	C₁₉×#100	—	2	2	no	—
81	#41×C₁₉	—	2	1	no	—
82	#41×C₁₉	—	2	1	no	—
83	#41×C₁₉	—	2	1	no	—
84	#41×C₁₉	—	2	1	no	—
85	#41×C₁₉	—	4	1	no	—
86	#41×C₁₉	—	4	1	no	—
87	#41×C₁₉	—	4	1	no	—
88	#41×C₁₉	—	4	1	no	—
89	C₂×Q₈×C₁₉	—	2	1	no	—
90	C₂×Q₈×C₁₉	—	2	2	no	—
91	C₂×Q₈×C₁₉	—	4	1	no	—
92	C₂×Q₈×C₁₉	—	4	1	no	—
93	C₂×Q₈×C₁₉	—	4	1	no	—
94	C₂×Q₈×C₁₉	—	4	1	no	—
95	C₂×Q₈×C₁₉	—	4	1	no	—
96	C₂×Q₈×C₁₉	D₈	1	1	yes	characteristic
97	C₂×D₄×C₁₉	—	2	1	no	—
98	C₂×D₄×C₁₉	—	2	1	no	—
99	C₂×D₄×C₁₉	—	4	1	no	—
100	C₂×D₄×C₁₉	D₈	1	1	yes	characteristic
101	C₂²×C₄×C₁₉	—	2	1	no	—
102	C₂²×C₄×C₁₉	—	4	1	no	—
103	C₂²×C₄×C₁₉	—	4	1	no	—
104	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
105	Q₁₆×C₁₉	—	2	2	no	—
106	Q₁₆×C₁₉	—	2	1	no	—
107	Q₁₆×C₁₉	—	2	2	no	—
108	Q₁₆×C₁₉	—	2	1	no	—
109	Q₁₆×C₁₉	—	4	4	no	—
110	Q₁₆×C₁₉	—	4	2	no	—
111	Q₁₆×C₁₉	—	4	1	no	—
112	Q₁₆×C₁₉	—	4	1	no	—
113	SD₁₆×C₁₉	—	4	4	no	—
114	SD₁₆×C₁₉	—	4	2	no	—
115	SD₁₆×C₁₉	—	4	2	no	—
116	SD₁₆×C₁₉	—	4	1	no	—
117	SD₁₆×C₁₉	—	4	1	no	—
118	D₈×C₁₉	—	2	1	no	—
119	D₈×C₁₉	—	2	1	no	—
120	D₈×C₁₉	—	4	2	no	—
121	M₁₆×C₁₉	—	2	2	no	—
122	M₁₆×C₁₉	—	2	2	no	—
123	M₁₆×C₁₉	—	2	1	no	—
124	M₁₆×C₁₉	—	2	1	no	—
125	M₁₆×C₁₉	—	4	1	no	—
126	M₁₆×C₁₉	—	4	1	no	—
127	M₁₆×C₁₉	—	4	1	no	—
128	M₁₆×C₁₉	—	4	1	no	—
129	C₂×C₈×C₁₉	—	2	1	no	—
130	C₂×C₈×C₁₉	—	4	1	no	—
131	C₂×C₈×C₁₉	—	4	1	no	—
132	C₂×C₈×C₁₉	—	4	1	no	—
133	C₂×C₈×C₁₉	—	4	1	no	—
134	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
135	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
136	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
137	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
138	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
139	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
140	C₁₆×C₁₉	—	2	2	no	—
141	C₁₆×C₁₉	—	4	1	no	—
142	#13324	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
143	C₂³×C₁₉	—	2	1	no	—
144	C₂³×C₁₉	—	4	1	no	—
145	C₂³×C₁₉	#135	1	1	yes	characteristic
146	Q₈×C₁₉	—	2	1	no	—
147	Q₈×C₁₉	—	2	1	no	—
148	Q₈×C₁₉	—	4	1	no	—
149	Q₈×C₁₉	—	4	2	no	—
150	Q₈×C₁₉	—	4	2	no	—
151	Q₈×C₁₉	—	4	1	no	—
152	Q₈×C₁₉	—	8	1	no	—
153	Q₈×C₁₉	—	8	1	no	—
154	D₄×C₁₉	—	2	1	no	—
155	D₄×C₁₉	—	2	1	no	—
156	D₄×C₁₉	—	4	1	no	—
157	D₄×C₁₉	—	4	1	no	—
158	D₄×C₁₉	—	4	1	no	—
159	D₄×C₁₉	—	4	1	no	—
160	D₄×C₁₉	—	8	1	no	—
161	D₄×C₁₉	—	8	1	no	—
162	C₂×C₄×C₁₉	—	2	1	no	—
163	C₂×C₄×C₁₉	—	4	1	no	—
164	C₂×C₄×C₁₉	—	4	1	no	—
165	C₂×C₄×C₁₉	—	4	1	no	—
166	C₂×C₄×C₁₉	—	4	2	no	—
167	C₂×C₄×C₁₉	—	8	1	no	—
168	C₂×C₄×C₁₉	—	8	1	no	—
169	C₂×C₄×C₁₉	—	8	1	no	—
170	C₂×C₄×C₁₉	—	8	1	no	—
171	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
172	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
173	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
174	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
175	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
176	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
177	C₈×C₁₉	—	4	1	no	—
178	C₈×C₁₉	—	4	2	no	—
179	C₈×C₁₉	—	4	2	no	—
180	C₈×C₁₉	#120	1	1	yes	characteristic
181	C₈×C₁₉	#121	1	1	yes	characteristic
182	C₈×C₁₉	#121	1	1	yes	characteristic
183	C₈×C₁₉	#127	1	1	yes	characteristic
184	C₂×#510	C₂×C₁₉	1	1	yes	characteristic, complemented
185	#3067	C₂×C₁₉	1	1	yes	characteristic
186	C₂×#473	C₂×C₁₉	1	1	yes	characteristic, complemented
187	C₂×#362	C₂×C₁₉	1	1	yes	characteristic, complemented
188	#2143	C₂×C₁₉	1	1	yes	characteristic, complemented
189	#2115	C₂×C₁₉	1	1	yes	characteristic, complemented
190	#1388	C₂×C₁₉	1	1	yes	characteristic, complemented
191	C₂²×C₁₉	—	4	1	no	—
192	C₂²×C₁₉	—	4	1	no	—
193	C₂²×C₁₉	—	8	1	no	—
194	C₂²×C₁₉	—	8	1	no	—
195	C₂²×C₁₉	—	16	1	no	—
196	C₂²×C₁₉	#449	1	1	yes	characteristic
197	C₂²×C₁₉	#449	1	1	yes	characteristic
198	C₂²×C₁₉	#466	1	1	yes	characteristic
199	C₄×C₁₉	—	4	1	no	—
200	C₄×C₁₉	—	8	1	no	—
201	C₄×C₁₉	—	8	2	no	—
202	C₄×C₁₉	#392	1	1	yes	characteristic
203	C₄×C₁₉	#447	1	1	yes	characteristic
204	C₄×C₁₉	#447	1	1	yes	characteristic
205	C₄×C₁₉	#469	1	1	yes	characteristic
206	#575	—	2	1	no	—
207	C₂×#137	—	2	1	no	—
208	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
209	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
210	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
211	#510	—	2	2	no	—
212	#510	—	2	2	no	—
213	C₂×Q₃₂	—	2	1	no	—
214	C₂×SD₃₂	—	2	1	no	—
215	C₂×M₃₂	C₂²×C₁₉	1	1	yes	characteristic
216	C₂×M₃₂	C₂²×C₁₉	1	1	yes	characteristic
217	#473	—	2	2	no	—
218	#473	—	2	1	no	—
219	#473	—	2	2	no	—
220	#472	—	2	1	no	—
221	#471	—	2	2	no	—
222	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
223	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
224	#413	—	2	1	no	—
225	C₂×#101	—	2	1	no	—
226	#362	—	2	2	no	—
227	#359	—	2	2	no	—
228	#349	—	2	2	no	—
229	C₂×C₁₉	—	2	1	no	—
230	C₂×C₁₉	—	2	1	no	—
231	C₂×C₁₉	—	2	1	no	—
232	C₂×C₁₉	—	8	1	no	—
233	C₂×C₁₉	—	16	1	no	—
234	C₂×C₁₉	#1999	1	1	yes	characteristic
235	C₂×#41	—	2	1	no	—
236	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
237	C₂²×Q₈	—	2	1	no	—
238	#137	—	2	4	no	—
239	#137	—	2	2	no	—
240	#137	—	4	2	no	—
241	#137	—	4	1	no	—
242	AGL(1,ℤ/8)	—	2	2	no	—
243	AGL(1,ℤ/8)	—	4	1	no	—
244	#135	—	2	1	no	—
245	#135	—	2	1	no	—
246	#135	—	2	1	no	—
247	#135	—	2	1	no	—
248	#135	—	4	2	no	—
249	C₂×Q₁₆	—	2	1	no	—
250	C₂×Q₁₆	—	2	1	no	—
251	C₂×Q₁₆	—	2	1	no	—
252	C₂×Q₁₆	—	2	1	no	—
253	C₂×Q₁₆	—	2	1	no	—
254	C₂×Q₁₆	—	4	1	no	—
255	C₂×Q₁₆	D₄×C₁₉	1	2	yes	—
256	C₂×Q₁₆	D₄×C₁₉	1	1	yes	characteristic
257	C₂×SD₁₆	—	2	1	no	—
258	C₂×SD₁₆	—	4	1	no	—
259	C₂×D₈	D₄×C₁₉	1	1	yes	characteristic
260	#131	—	2	1	no	—
261	#131	—	2	1	no	—
262	#131	—	2	1	no	—
263	#131	—	2	1	no	—
264	C₂×M₁₆	—	2	1	no	—
265	C₂×M₁₆	—	2	1	no	—
266	C₂×M₁₆	—	2	1	no	—
267	C₂×M₁₆	D₄×C₁₉	1	1	yes	characteristic
268	C₂²×C₈	—	2	1	no	—
269	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
270	Q₃₂	—	2	4	no	—
271	SD₃₂	—	2	4	no	—
272	M₃₂	—	2	1	no	—
273	M₃₂	—	2	1	no	—
274	M₃₂	—	2	1	no	—
275	M₃₂	D₄×C₁₉	1	2	yes	—
276	C₂×C₁₆	—	2	1	no	—
277	C₂×C₁₆	—	2	1	no	—
278	#108	—	2	1	no	—
279	#108	—	2	1	no	—
280	#108	D₄×C₁₉	1	2	yes	—
281	#108	D₄×C₁₉	1	2	yes	—
282	#101	—	2	4	no	—
283	#101	—	2	2	no	—
284	#100	—	2	2	no	—
285	C₁₉	#13324	1	1	yes	characteristic, direct product factor, Sylow
286	#41	—	2	1	no	—
287	#41	—	2	1	no	—
288	#41	—	2	1	no	—
289	#41	—	2	1	no	—
290	#41	—	4	1	no	—
291	#41	—	4	1	no	—
292	#41	—	4	1	no	—
293	#41	—	4	1	no	—
294	C₂×Q₈	—	2	1	no	—
295	C₂×Q₈	—	2	2	no	—
296	C₂×Q₈	—	4	1	no	—
297	C₂×Q₈	—	4	1	no	—
298	C₂×Q₈	—	4	1	no	—
299	C₂×Q₈	—	4	1	no	—
300	C₂×Q₈	—	4	1	no	—
301	C₂×Q₈	D₈×C₁₉	1	1	yes	characteristic
302	C₂×D₄	—	2	1	no	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	4	1	no	—
305	C₂×D₄	D₈×C₁₉	1	1	yes	characteristic
306	C₂²×C₄	—	2	1	no	—
307	C₂²×C₄	—	4	1	no	—
308	C₂²×C₄	—	4	1	no	—
309	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
310	Q₁₆	—	2	2	no	—
311	Q₁₆	—	2	1	no	—
312	Q₁₆	—	2	2	no	—
313	Q₁₆	—	2	1	no	—
314	Q₁₆	—	4	4	no	—
315	Q₁₆	—	4	2	no	—
316	Q₁₆	—	4	1	no	—
317	Q₁₆	—	4	1	no	—
318	SD₁₆	—	4	4	no	—
319	SD₁₆	—	4	2	no	—
320	SD₁₆	—	4	2	no	—
321	SD₁₆	—	4	1	no	—
322	SD₁₆	—	4	1	no	—
323	D₈	—	2	1	no	—
324	D₈	—	2	1	no	—
325	D₈	—	4	2	no	—
326	M₁₆	—	2	1	no	—
327	M₁₆	—	2	2	no	—
328	M₁₆	—	2	1	no	—
329	M₁₆	—	2	2	no	—
330	M₁₆	—	4	1	no	—
331	M₁₆	—	4	1	no	—
332	M₁₆	—	4	1	no	—
333	M₁₆	—	4	1	no	—
334	C₂×C₈	—	2	1	no	—
335	C₂×C₈	—	4	1	no	—
336	C₂×C₈	—	4	1	no	—
337	C₂×C₈	—	4	1	no	—
338	C₂×C₈	—	4	1	no	—
339	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
340	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
341	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
342	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
343	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
344	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
345	C₁₆	—	2	2	no	—
346	C₁₆	—	4	1	no	—
347	C₂³	—	2	1	no	—
348	C₂³	—	4	1	no	—
349	C₂³	C₁₉×#135	1	1	yes	characteristic
350	Q₈	—	2	1	no	—
351	Q₈	—	2	1	no	—
352	Q₈	—	4	1	no	—
353	Q₈	—	4	2	no	—
354	Q₈	—	4	2	no	—
355	Q₈	—	4	1	no	—
356	Q₈	—	8	1	no	—
357	Q₈	—	8	1	no	—
358	D₄	—	2	1	no	—
359	D₄	—	2	1	no	—
360	D₄	—	4	1	no	—
361	D₄	—	4	1	no	—
362	D₄	—	4	1	no	—
363	D₄	—	4	1	no	—
364	D₄	—	8	1	no	—
365	D₄	—	8	1	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	8	1	no	—
372	C₂×C₄	—	8	1	no	—
373	C₂×C₄	—	8	1	no	—
374	C₂×C₄	—	8	1	no	—
375	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
376	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
377	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
378	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
379	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
380	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
381	C₈	—	4	1	no	—
382	C₈	—	4	2	no	—
383	C₈	—	4	2	no	—
384	C₈	C₁₉×#120	1	1	yes	characteristic
385	C₈	C₁₉×#121	1	1	yes	characteristic
386	C₈	C₁₉×#121	1	1	yes	characteristic
387	C₈	C₁₉×#127	1	1	yes	characteristic
388	C₂²	—	4	1	no	—
389	C₂²	—	4	1	no	—
390	C₂²	—	8	1	no	—
391	C₂²	—	8	1	no	—
392	C₂²	—	16	1	no	—
393	C₂²	C₁₉×#449	1	1	yes	characteristic
394	C₂²	C₁₉×#449	1	1	yes	characteristic
395	C₂²	C₁₉×#466	1	1	yes	characteristic
396	C₄	—	4	1	no	—
397	C₄	—	8	1	no	—
398	C₄	—	8	2	no	—
399	C₄	C₁₉×#392	1	1	yes	characteristic
400	C₄	C₁₉×#447	1	1	yes	characteristic
401	C₄	C₁₉×#447	1	1	yes	characteristic
402	C₄	C₁₉×#469	1	1	yes	characteristic
403	C₂	—	2	1	no	—
404	C₂	—	2	1	no	—
405	C₂	—	2	1	no	—
406	C₂	—	8	1	no	—
407	C₂	—	16	1	no	—
408	C₂	C₁₉×#1999	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₁₉	#1999
commutator, Frattini, cosocle	C₂²×C₈	C₂³×C₁₉
prime radical	C₁₉×#3067	C₂
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₁₉ ◁ C₂²×C₄×C₁₉ ◁ C₂×C₁₉×#131 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₉×#510	C₂	semidirect
3. C₂×C₁₉×#473	C₂	semidirect
4. C₂×C₁₉×#362	C₂	semidirect
5. C₁₉×#2143	C₂	semidirect
6. C₁₉×#2115	C₂	semidirect
7. C₁₉×#1388	C₂	semidirect
142. #13324	C₁₉	direct (N × H)
184. C₂×#510	C₂×C₁₉	semidirect
186. C₂×#473	C₂×C₁₉	semidirect
187. C₂×#362	C₂×C₁₉	semidirect
188. #2143	C₂×C₁₉	semidirect
189. #2115	C₂×C₁₉	semidirect
190. #1388	C₂×C₁₉	semidirect
285. C₁₉	#13324	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#510	2
C₁₉×#3067	2
C₂×C₁₉×#473	2
C₂×C₁₉×#362	2
C₁₉×#2143	2
C₁₉×#2115	2
C₁₉×#1388	2
#13324	19

Subgroups — C19×#13324 #18019283

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13324 #18019283