Subgroups — C₁₉×#61807 #18067766

Order 4864.

1788 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3354	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3346	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3334	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3330	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3309	C₂	1	4	yes	maximal, complemented
8	C₁₉×#3303	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3235	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3231	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3198	C₂	1	4	yes	maximal, complemented
12	C₁₉×#3110	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3100	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3098	C₂	1	4	yes	maximal, complemented
15	C₁₉×#2981	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#562	—	2	2	no	—
17	C₁₉×#559	—	2	2	no	—
18	C₁₉×#556	—	2	1	no	—
19	C₁₉×#555	C₂²	1	2	yes	—
20	C₁₉×#554	—	2	1	no	—
21	C₁₉×#554	C₂²	1	2	yes	complemented
22	C₁₉×#553	C₂²	1	4	yes	—
23	C₁₉×#550	—	2	1	no	—
24	C₁₉×#550	—	2	1	no	—
25	C₁₉×#550	C₂²	1	2	yes	complemented
26	C₁₉×#547	C₂²	1	2	yes	—
27	C₁₉×#547	C₂²	1	2	yes	complemented
28	C₁₉×#547	C₂²	1	2	yes	complemented
29	C₁₉×#540	—	2	2	no	—
30	C₁₉×#538	—	2	2	no	—
31	C₁₉×#537	—	2	2	no	—
32	C₁₉×#537	C₂²	1	4	yes	—
33	C₁₉×#535	C₂²	1	2	yes	—
34	C₁₉×#533	C₂²	1	1	yes	characteristic
35	C₁₉×#533	C₂²	1	1	yes	characteristic
36	C₁₉×#532	C₂²	1	1	yes	characteristic
37	C₁₉×#532	C₂²	1	1	yes	characteristic
38	C₁₉×#525	—	2	2	no	—
39	C₁₉×#520	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
41	C₁₉×#501	C₂²	1	2	yes	complemented
42	C₁₉×#500	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×#498	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×#490	C₂²	1	2	yes	complemented
45	C₁₉×#487	C₂²	1	1	yes	characteristic, complemented
46	C₁₉×#487	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#485	C₂²	1	4	yes	—
48	C₁₉×#485	C₂²	1	4	yes	complemented
49	C₁₉×#484	C₂²	1	2	yes	—
50	C₁₉×#484	C₂²	1	4	yes	complemented
51	C₁₉×#482	C₂²	1	4	yes	—
52	C₁₉×#482	C₂²	1	4	yes	complemented
53	C₁₉×#481	C₂²	1	4	yes	—
54	C₁₉×#480	C₂²	1	4	yes	—
55	C₁₉×#480	C₂²	1	2	yes	—
56	C₁₉×#480	C₂²	1	4	yes	complemented
57	C₁₉×#479	C₂²	1	4	yes	complemented
58	C₁₉×#476	C₂²	1	2	yes	complemented
59	C₁₉×#474	C₂²	1	2	yes	—
60	C₁₉×#474	C₂²	1	2	yes	—
61	C₁₉×#474	C₂²	1	2	yes	complemented
62	C₁₉×#469	C₂²	1	4	yes	—
63	C₁₉×#468	C₂²	1	4	yes	—
64	C₁₉×#466	C₂²	1	4	yes	—
65	C₁₉×#465	C₂²	1	4	yes	—
66	C₁₉×#461	C₂²	1	2	yes	—
67	C₁₉×#459	C₂²	1	2	yes	—
68	C₁₉×#450	C₂²	1	2	yes	—
69	C₁₉×#449	C₂²	1	4	yes	—
70	C₁₉×#449	C₂²	1	4	yes	—
71	C₁₉×#447	C₂²	1	2	yes	—
72	C₁₉×#440	C₂²	1	4	yes	—
73	C₄×D₈×C₁₉	C₂²	1	2	yes	—
74	C₄×D₈×C₁₉	C₂²	1	2	yes	—
75	C₁₉×#436	C₂²	1	2	yes	complemented
76	C₁₉×#435	C₂²	1	4	yes	complemented
77	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
78	C₁₉×#432	C₂²	1	1	yes	characteristic
79	C₁₉×#431	C₂²	1	1	yes	characteristic
80	C₁₉×#428	C₂²	1	4	yes	complemented
81	C₂×C₁₉×#107	C₂²	1	4	yes	complemented
82	C₁₉×#417	C₂²	1	4	yes	complemented
83	C₁₉×#416	C₂²	1	4	yes	complemented
84	C₁₉×#408	C₂²	1	4	yes	—
85	C₂×#41×C₁₉	—	2	2	no	—
86	C₂×#41×C₁₉	—	2	2	no	—
87	C₂×#41×C₁₉	—	2	1	no	—
88	C₂×#41×C₁₉	C₂³	1	4	yes	—
89	C₂×#41×C₁₉	C₂³	1	2	yes	—
90	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₁₉	—	2	1	no	—
92	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
93	C₂×D₈×C₁₉	C₂³	1	2	yes	—
94	C₂×D₈×C₁₉	C₂³	1	2	yes	—
95	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
96	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
97	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
98	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
99	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
100	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
101	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
102	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
103	C₁₉×#127	—	2	2	no	—
104	C₁₉×#127	—	2	2	no	—
105	C₁₉×#127	D₄	1	1	yes	characteristic
106	C₁₉×#127	C₂³	1	1	yes	characteristic
107	C₁₉×#126	—	2	4	no	—
108	C₁₉×#125	—	2	2	no	—
109	C₁₉×#125	—	2	1	no	—
110	C₁₉×#125	C₂³	1	2	yes	—
111	C₁₉×#124	—	2	2	no	—
112	C₁₉×#124	—	2	4	no	—
113	C₁₉×#124	—	2	1	no	—
114	C₁₉×#124	D₄	1	2	yes	—
115	C₁₉×#123	—	2	4	no	—
116	C₁₉×#123	—	2	4	no	—
117	C₁₉×#123	—	2	4	no	—
118	C₁₉×#123	—	2	4	no	—
119	C₁₉×C₂²⋊Q₈	—	2	4	no	—
120	C₁₉×C₂²⋊Q₈	—	2	1	no	—
121	C₁₉×C₂²⋊Q₈	—	2	1	no	—
122	C₁₉×C₂²⋊Q₈	—	2	1	no	—
123	C₁₉×C₂²⋊Q₈	—	2	2	no	—
124	C₁₉×C₂²⋊Q₈	—	2	2	no	—
125	C₁₉×C₂²⋊Q₈	—	2	4	no	—
126	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
127	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
128	C₁₉×#121	—	2	2	no	—
129	C₁₉×#121	—	2	4	no	—
130	C₁₉×#121	—	2	4	no	—
131	C₁₉×#121	—	2	2	no	—
132	C₁₉×#121	—	2	4	no	—
133	C₁₉×#121	—	2	4	no	—
134	C₁₉×#121	—	2	1	no	—
135	C₁₉×#121	—	2	4	no	—
136	C₁₉×#121	D₄	1	2	yes	—
137	C₁₉×#121	D₄	1	2	yes	—
138	C₁₉×#121	C₂³	1	2	yes	—
139	C₁₉×#121	C₂³	1	4	yes	—
140	C₁₉×#121	C₂³	1	4	yes	—
141	C₁₉×#121	C₂³	1	4	yes	—
142	C₁₉×#120	—	2	4	no	—
143	C₄×Q₈×C₁₉	—	2	2	no	—
144	C₄×Q₈×C₁₉	—	2	1	no	—
145	C₄×Q₈×C₁₉	—	2	1	no	—
146	C₄×Q₈×C₁₉	—	2	1	no	—
147	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
148	C₄×D₄×C₁₉	—	2	4	no	—
149	C₄×D₄×C₁₉	—	2	2	no	—
150	C₄×D₄×C₁₉	—	2	2	no	—
151	C₄×D₄×C₁₉	—	2	2	no	—
152	C₄×D₄×C₁₉	—	2	4	no	—
153	C₄×D₄×C₁₉	—	2	1	no	—
154	C₄×D₄×C₁₉	—	2	1	no	—
155	C₄×D₄×C₁₉	—	2	1	no	—
156	C₄×D₄×C₁₉	C₂³	1	2	yes	—
157	C₄×D₄×C₁₉	C₂³	1	2	yes	—
158	C₄×D₄×C₁₉	C₂³	1	2	yes	—
159	C₄×D₄×C₁₉	C₂³	1	2	yes	—
160	C₄×D₄×C₁₉	C₂³	1	2	yes	—
161	C₁₉×#117	—	2	1	no	—
162	C₁₉×#117	—	2	2	no	—
163	C₁₉×#117	C₂³	1	4	yes	—
164	C₁₉×#117	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
166	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
167	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
168	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
169	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
170	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
171	C₁₉×#107	C₂³	1	2	yes	—
172	C₁₉×#107	C₂³	1	4	yes	—
173	C₁₉×#107	C₂³	1	4	yes	—
174	C₁₉×#107	C₂³	1	4	yes	—
175	C₁₉×#107	C₂³	1	2	yes	—
176	C₁₉×#106	C₂³	1	4	yes	—
177	C₁₉×#106	C₂³	1	4	yes	—
178	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
179	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
180	C₁₉×#103	C₂³	1	4	yes	—
181	C₁₉×#103	C₂³	1	4	yes	—
182	C₁₉×#103	C₂³	1	4	yes	—
183	C₁₉×#102	C₂³	1	2	yes	—
184	C₁₉×#102	C₂³	1	4	yes	—
185	C₁₉×#102	C₂³	1	2	yes	—
186	C₁₉×#102	C₂³	1	4	yes	—
187	C₁₉×#102	C₂³	1	2	yes	—
188	C₁₉×#102	C₂³	1	2	yes	—
189	C₁₉×#102	C₂³	1	4	yes	—
190	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
191	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
192	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
193	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
194	C₁₉×#97	C₂³	1	2	yes	—
195	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
196	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
197	C₂⁴×C₁₉	—	2	1	no	—
198	#41×C₁₉	—	4	4	no	—
199	#41×C₁₉	—	4	4	no	—
200	#41×C₁₉	—	4	4	no	—
201	#41×C₁₉	—	8	2	no	—
202	#41×C₁₉	—	8	4	no	—
203	#41×C₁₉	—	8	4	no	—
204	C₂×Q₈×C₁₉	—	2	1	no	—
205	C₂×Q₈×C₁₉	—	2	1	no	—
206	C₂×Q₈×C₁₉	—	2	1	no	—
207	C₂×Q₈×C₁₉	—	2	1	no	—
208	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
209	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
210	C₂×D₄×C₁₉	—	2	4	no	—
211	C₂×D₄×C₁₉	—	2	4	no	—
212	C₂×D₄×C₁₉	—	2	2	no	—
213	C₂×D₄×C₁₉	—	2	4	no	—
214	C₂×D₄×C₁₉	—	2	4	no	—
215	C₂×D₄×C₁₉	—	2	1	no	—
216	C₂×D₄×C₁₉	—	2	1	no	—
217	C₂×D₄×C₁₉	—	2	1	no	—
218	C₂×D₄×C₁₉	—	4	2	no	—
219	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
220	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
221	C₂×D₄×C₁₉	C₂×D₄	1	4	yes	—
222	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
223	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
224	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
225	C₂²×C₄×C₁₉	—	2	1	no	—
226	C₂²×C₄×C₁₉	—	2	4	no	—
227	C₂²×C₄×C₁₉	—	2	4	no	—
228	C₂²×C₄×C₁₉	—	2	2	no	—
229	C₂²×C₄×C₁₉	—	2	2	no	—
230	C₂²×C₄×C₁₉	—	2	4	no	—
231	C₂²×C₄×C₁₉	—	2	2	no	—
232	C₂²×C₄×C₁₉	—	8	2	no	—
233	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
234	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
235	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
236	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
237	SD₁₆×C₁₉	—	4	4	no	—
238	D₈×C₁₉	—	4	2	no	—
239	D₈×C₁₉	—	4	2	no	—
240	M₁₆×C₁₉	—	4	4	no	—
241	C₂×C₈×C₁₉	—	4	4	no	—
242	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
243	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
244	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
245	C₄⋊C₄×C₁₉	—	2	1	no	—
246	C₄⋊C₄×C₁₉	—	2	4	no	—
247	C₄⋊C₄×C₁₉	—	2	1	no	—
248	C₄⋊C₄×C₁₉	—	2	4	no	—
249	C₄⋊C₄×C₁₉	—	2	4	no	—
250	C₄⋊C₄×C₁₉	—	2	1	no	—
251	C₄⋊C₄×C₁₉	—	2	1	no	—
252	C₄⋊C₄×C₁₉	—	2	1	no	—
253	C₄⋊C₄×C₁₉	—	2	1	no	—
254	C₄⋊C₄×C₁₉	—	2	2	no	—
255	C₄⋊C₄×C₁₉	—	2	2	no	—
256	C₄⋊C₄×C₁₉	—	2	2	no	—
257	C₄⋊C₄×C₁₉	—	2	1	no	—
258	C₄⋊C₄×C₁₉	—	2	2	no	—
259	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
260	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
261	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
262	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
263	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
264	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
265	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
266	C₂²⋊C₄×C₁₉	—	2	2	no	—
267	C₂²⋊C₄×C₁₉	—	2	2	no	—
268	C₂²⋊C₄×C₁₉	—	2	4	no	—
269	C₂²⋊C₄×C₁₉	—	2	4	no	—
270	C₂²⋊C₄×C₁₉	—	2	2	no	—
271	C₂²⋊C₄×C₁₉	—	2	2	no	—
272	C₂²⋊C₄×C₁₉	—	2	4	no	—
273	C₂²⋊C₄×C₁₉	—	2	4	no	—
274	C₂²⋊C₄×C₁₉	—	2	4	no	—
275	C₂²⋊C₄×C₁₉	—	2	2	no	—
276	C₂²⋊C₄×C₁₉	—	2	2	no	—
277	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
278	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
279	C₄²×C₁₉	—	2	4	no	—
280	C₄²×C₁₉	—	2	2	no	—
281	C₄²×C₁₉	—	2	2	no	—
282	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
283	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
284	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
285	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
286	#61807	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
287	C₂³×C₁₉	—	2	2	no	—
288	C₂³×C₁₉	—	2	2	no	—
289	C₂³×C₁₉	—	4	2	no	—
290	C₂³×C₁₉	—	8	1	no	—
291	C₂³×C₁₉	—	8	1	no	—
292	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
293	C₂³×C₁₉	C₂²×D₄	1	4	yes	—
294	Q₈×C₁₉	—	2	4	no	—
295	Q₈×C₁₉	—	4	2	no	—
296	Q₈×C₁₉	—	4	2	no	—
297	Q₈×C₁₉	—	4	2	no	—
298	Q₈×C₁₉	—	8	1	no	—
299	Q₈×C₁₉	—	8	1	no	—
300	D₄×C₁₉	—	2	4	no	—
301	D₄×C₁₉	—	2	2	no	—
302	D₄×C₁₉	—	2	2	no	—
303	D₄×C₁₉	—	2	2	no	—
304	D₄×C₁₉	—	2	2	no	—
305	D₄×C₁₉	—	4	2	no	—
306	D₄×C₁₉	—	4	4	no	—
307	D₄×C₁₉	—	4	2	no	—
308	D₄×C₁₉	—	4	2	no	—
309	D₄×C₁₉	—	4	2	no	—
310	D₄×C₁₉	—	8	1	no	—
311	D₄×C₁₉	—	8	4	no	—
312	D₄×C₁₉	—	8	4	no	—
313	D₄×C₁₉	—	8	2	no	—
314	D₄×C₁₉	—	8	4	no	—
315	D₄×C₁₉	—	8	4	no	—
316	C₂×C₄×C₁₉	—	2	2	no	—
317	C₂×C₄×C₁₉	—	2	4	no	—
318	C₂×C₄×C₁₉	—	2	4	no	—
319	C₂×C₄×C₁₉	—	2	2	no	—
320	C₂×C₄×C₁₉	—	2	2	no	—
321	C₂×C₄×C₁₉	—	2	2	no	—
322	C₂×C₄×C₁₉	—	2	2	no	—
323	C₂×C₄×C₁₉	—	2	2	no	—
324	C₂×C₄×C₁₉	—	2	2	no	—
325	C₂×C₄×C₁₉	—	2	2	no	—
326	C₂×C₄×C₁₉	—	4	1	no	—
327	C₂×C₄×C₁₉	—	4	4	no	—
328	C₂×C₄×C₁₉	—	4	4	no	—
329	C₂×C₄×C₁₉	—	8	2	no	—
330	C₂×C₄×C₁₉	—	8	4	no	—
331	C₂×C₄×C₁₉	—	8	1	no	—
332	C₂×C₄×C₁₉	—	8	4	no	—
333	C₂×C₄×C₁₉	—	8	4	no	—
334	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
335	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
336	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
337	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
338	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
340	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
341	C₈×C₁₉	—	2	2	no	—
342	C₈×C₁₉	—	2	4	no	—
343	C₈×C₁₉	—	2	2	no	—
344	#3548	C₂×C₁₉	1	1	yes	characteristic, complemented
345	#3506	C₂×C₁₉	1	1	yes	characteristic, complemented
346	#3354	C₂×C₁₉	1	2	yes	complemented
347	#3346	C₂×C₁₉	1	4	yes	complemented
348	#3334	C₂×C₁₉	1	2	yes	complemented
349	#3330	C₂×C₁₉	1	2	yes	complemented
350	#3309	C₂×C₁₉	1	4	yes	complemented
351	#3303	C₂×C₁₉	1	2	yes	complemented
352	#3235	C₂×C₁₉	1	1	yes	characteristic, complemented
353	#3231	C₂×C₁₉	1	1	yes	characteristic, complemented
354	#3198	C₂×C₁₉	1	4	yes	complemented
355	#3110	C₂×C₁₉	1	1	yes	characteristic, complemented
356	#3100	C₂×C₁₉	1	1	yes	characteristic, complemented
357	#3098	C₂×C₁₉	1	4	yes	complemented
358	#2981	C₂×C₁₉	1	1	yes	characteristic, complemented
359	C₂²×C₁₉	—	2	1	no	—
360	C₂²×C₁₉	—	2	4	no	—
361	C₂²×C₁₉	—	2	1	no	—
362	C₂²×C₁₉	—	2	4	no	—
363	C₂²×C₁₉	—	2	1	no	—
364	C₂²×C₁₉	—	2	4	no	—
365	C₂²×C₁₉	—	4	2	no	—
366	C₂²×C₁₉	—	4	2	no	—
367	C₂²×C₁₉	—	4	2	no	—
368	C₂²×C₁₉	—	4	2	no	—
369	C₂²×C₁₉	—	4	2	no	—
370	C₂²×C₁₉	—	4	2	no	—
371	C₂²×C₁₉	—	8	4	no	—
372	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
373	C₄×C₁₉	—	2	1	no	—
374	C₄×C₁₉	—	2	1	no	—
375	C₄×C₁₉	—	2	4	no	—
376	C₄×C₁₉	—	2	1	no	—
377	C₄×C₁₉	—	2	1	no	—
378	C₄×C₁₉	—	4	2	no	—
379	C₄×C₁₉	—	4	2	no	—
380	C₄×C₁₉	—	4	2	no	—
381	C₄×C₁₉	—	4	2	no	—
382	C₄×C₁₉	—	4	2	no	—
383	C₄×C₁₉	—	4	2	no	—
384	C₄×C₁₉	#576	1	2	yes	—
385	C₄×C₁₉	#585	1	2	yes	—
386	#562	—	2	2	no	—
387	#559	—	2	2	no	—
388	#556	—	2	1	no	—
389	#555	C₂²×C₁₉	1	2	yes	—
390	#554	—	2	1	no	—
391	#554	C₂²×C₁₉	1	2	yes	complemented
392	#553	C₂²×C₁₉	1	4	yes	—
393	#550	—	2	1	no	—
394	#550	—	2	1	no	—
395	#550	C₂²×C₁₉	1	2	yes	complemented
396	#547	C₂²×C₁₉	1	2	yes	—
397	#547	C₂²×C₁₉	1	2	yes	complemented
398	#547	C₂²×C₁₉	1	2	yes	complemented
399	#540	—	2	2	no	—
400	#538	—	2	2	no	—
401	#537	—	2	2	no	—
402	#537	C₂²×C₁₉	1	4	yes	—
403	#535	C₂²×C₁₉	1	2	yes	—
404	#533	C₂²×C₁₉	1	1	yes	characteristic
405	#533	C₂²×C₁₉	1	1	yes	characteristic
406	#532	C₂²×C₁₉	1	1	yes	characteristic
407	#532	C₂²×C₁₉	1	1	yes	characteristic
408	#525	—	2	2	no	—
409	#520	C₂²×C₁₉	1	2	yes	—
410	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
411	#501	C₂²×C₁₉	1	2	yes	complemented
412	#500	C₂²×C₁₉	1	1	yes	characteristic, complemented
413	#498	C₂²×C₁₉	1	1	yes	characteristic, complemented
414	#490	C₂²×C₁₉	1	2	yes	complemented
415	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
416	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
417	#485	C₂²×C₁₉	1	4	yes	—
418	#485	C₂²×C₁₉	1	4	yes	complemented
419	#484	C₂²×C₁₉	1	2	yes	—
420	#484	C₂²×C₁₉	1	4	yes	complemented
421	#482	C₂²×C₁₉	1	4	yes	—
422	#482	C₂²×C₁₉	1	4	yes	complemented
423	#481	C₂²×C₁₉	1	4	yes	—
424	#480	C₂²×C₁₉	1	4	yes	—
425	#480	C₂²×C₁₉	1	2	yes	—
426	#480	C₂²×C₁₉	1	4	yes	complemented
427	#479	C₂²×C₁₉	1	4	yes	complemented
428	#476	C₂²×C₁₉	1	2	yes	complemented
429	#474	C₂²×C₁₉	1	2	yes	—
430	#474	C₂²×C₁₉	1	2	yes	—
431	#474	C₂²×C₁₉	1	2	yes	complemented
432	#469	C₂²×C₁₉	1	4	yes	—
433	#468	C₂²×C₁₉	1	4	yes	—
434	#466	C₂²×C₁₉	1	4	yes	—
435	#465	C₂²×C₁₉	1	4	yes	—
436	#461	C₂²×C₁₉	1	2	yes	—
437	#459	C₂²×C₁₉	1	2	yes	—
438	#450	C₂²×C₁₉	1	2	yes	—
439	#449	C₂²×C₁₉	1	4	yes	—
440	#449	C₂²×C₁₉	1	4	yes	—
441	#447	C₂²×C₁₉	1	2	yes	—
442	#440	C₂²×C₁₉	1	4	yes	—
443	C₄×D₈	C₂²×C₁₉	1	2	yes	—
444	C₄×D₈	C₂²×C₁₉	1	2	yes	—
445	#436	C₂²×C₁₉	1	2	yes	complemented
446	#435	C₂²×C₁₉	1	4	yes	complemented
447	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
448	#432	C₂²×C₁₉	1	1	yes	characteristic
449	#431	C₂²×C₁₉	1	1	yes	characteristic
450	#428	C₂²×C₁₉	1	4	yes	complemented
451	C₂×#107	C₂²×C₁₉	1	4	yes	complemented
452	#417	C₂²×C₁₉	1	4	yes	complemented
453	#416	C₂²×C₁₉	1	4	yes	complemented
454	#408	C₂²×C₁₉	1	4	yes	—
455	C₂×C₁₉	—	4	4	no	—
456	C₂×C₁₉	—	4	1	no	—
457	C₂×C₁₉	—	8	2	no	—
458	C₂×C₁₉	—	8	2	no	—
459	C₂×C₁₉	#3485	1	1	yes	characteristic
460	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
461	C₂×C₁₉	#3586	1	1	yes	characteristic
462	C₂×#41	—	2	2	no	—
463	C₂×#41	—	2	2	no	—
464	C₂×#41	—	2	1	no	—
465	C₂×#41	C₂³×C₁₉	1	4	yes	—
466	C₂×#41	C₂³×C₁₉	1	2	yes	—
467	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
468	C₂³×C₄	—	2	1	no	—
469	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
470	C₂×D₈	C₂³×C₁₉	1	2	yes	—
471	C₂×D₈	C₂³×C₁₉	1	2	yes	—
472	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
473	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
474	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
475	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
476	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
477	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
478	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
479	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
480	#127	—	2	2	no	—
481	#127	—	2	2	no	—
482	#127	D₄×C₁₉	1	1	yes	characteristic
483	#127	C₂³×C₁₉	1	1	yes	characteristic
484	#126	—	2	4	no	—
485	#125	—	2	2	no	—
486	#125	—	2	1	no	—
487	#125	C₂³×C₁₉	1	2	yes	—
488	#124	—	2	2	no	—
489	#124	—	2	4	no	—
490	#124	—	2	1	no	—
491	#124	D₄×C₁₉	1	2	yes	—
492	#123	—	2	4	no	—
493	#123	—	2	4	no	—
494	#123	—	2	4	no	—
495	#123	—	2	4	no	—
496	C₂²⋊Q₈	—	2	4	no	—
497	C₂²⋊Q₈	—	2	1	no	—
498	C₂²⋊Q₈	—	2	1	no	—
499	C₂²⋊Q₈	—	2	1	no	—
500	C₂²⋊Q₈	—	2	2	no	—
501	C₂²⋊Q₈	—	2	2	no	—
502	C₂²⋊Q₈	—	2	4	no	—
503	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
504	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
505	#121	—	2	2	no	—
506	#121	—	2	4	no	—
507	#121	—	2	4	no	—
508	#121	—	2	2	no	—
509	#121	—	2	4	no	—
510	#121	—	2	4	no	—
511	#121	—	2	1	no	—
512	#121	—	2	4	no	—
513	#121	D₄×C₁₉	1	2	yes	—
514	#121	D₄×C₁₉	1	2	yes	—
515	#121	C₂³×C₁₉	1	2	yes	—
516	#121	C₂³×C₁₉	1	4	yes	—
517	#121	C₂³×C₁₉	1	4	yes	—
518	#121	C₂³×C₁₉	1	4	yes	—
519	#120	—	2	4	no	—
520	C₄×Q₈	—	2	2	no	—
521	C₄×Q₈	—	2	1	no	—
522	C₄×Q₈	—	2	1	no	—
523	C₄×Q₈	—	2	1	no	—
524	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
525	C₄×D₄	—	2	4	no	—
526	C₄×D₄	—	2	2	no	—
527	C₄×D₄	—	2	2	no	—
528	C₄×D₄	—	2	2	no	—
529	C₄×D₄	—	2	4	no	—
530	C₄×D₄	—	2	1	no	—
531	C₄×D₄	—	2	1	no	—
532	C₄×D₄	—	2	1	no	—
533	C₄×D₄	C₂³×C₁₉	1	2	yes	—
534	C₄×D₄	C₂³×C₁₉	1	2	yes	—
535	C₄×D₄	C₂³×C₁₉	1	2	yes	—
536	C₄×D₄	C₂³×C₁₉	1	2	yes	—
537	C₄×D₄	C₂³×C₁₉	1	2	yes	—
538	#117	—	2	1	no	—
539	#117	—	2	2	no	—
540	#117	C₂³×C₁₉	1	2	yes	—
541	#117	C₂³×C₁₉	1	4	yes	—
542	C₂×C₄⋊C₄	—	2	2	no	—
543	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
544	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
545	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
546	C₂×C₂²⋊C₄	—	2	1	no	—
547	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
548	#107	C₂³×C₁₉	1	2	yes	—
549	#107	C₂³×C₁₉	1	4	yes	—
550	#107	C₂³×C₁₉	1	4	yes	—
551	#107	C₂³×C₁₉	1	4	yes	—
552	#107	C₂³×C₁₉	1	2	yes	—
553	#106	C₂³×C₁₉	1	4	yes	—
554	#106	C₂³×C₁₉	1	4	yes	—
555	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
556	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
557	#103	C₂³×C₁₉	1	4	yes	—
558	#103	C₂³×C₁₉	1	4	yes	—
559	#103	C₂³×C₁₉	1	4	yes	—
560	#102	C₂³×C₁₉	1	2	yes	—
561	#102	C₂³×C₁₉	1	4	yes	—
562	#102	C₂³×C₁₉	1	2	yes	—
563	#102	C₂³×C₁₉	1	4	yes	—
564	#102	C₂³×C₁₉	1	2	yes	—
565	#102	C₂³×C₁₉	1	2	yes	—
566	#102	C₂³×C₁₉	1	4	yes	—
567	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
568	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
569	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
570	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
571	#97	C₂³×C₁₉	1	2	yes	—
572	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
573	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
574	C₁₉	#61807	1	1	yes	characteristic, direct product factor, Sylow
575	C₂⁴	—	2	1	no	—
576	#41	—	4	4	no	—
577	#41	—	4	4	no	—
578	#41	—	4	4	no	—
579	#41	—	8	2	no	—
580	#41	—	8	4	no	—
581	#41	—	8	4	no	—
582	C₂×Q₈	—	2	1	no	—
583	C₂×Q₈	—	2	1	no	—
584	C₂×Q₈	—	2	1	no	—
585	C₂×Q₈	—	2	1	no	—
586	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
587	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
588	C₂×D₄	—	2	4	no	—
589	C₂×D₄	—	2	4	no	—
590	C₂×D₄	—	2	2	no	—
591	C₂×D₄	—	2	4	no	—
592	C₂×D₄	—	2	4	no	—
593	C₂×D₄	—	2	1	no	—
594	C₂×D₄	—	2	1	no	—
595	C₂×D₄	—	2	1	no	—
596	C₂×D₄	—	4	2	no	—
597	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
598	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
599	C₂×D₄	C₂×D₄×C₁₉	1	4	yes	—
600	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
601	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
602	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
603	C₂²×C₄	—	2	1	no	—
604	C₂²×C₄	—	2	4	no	—
605	C₂²×C₄	—	2	4	no	—
606	C₂²×C₄	—	2	2	no	—
607	C₂²×C₄	—	2	2	no	—
608	C₂²×C₄	—	2	4	no	—
609	C₂²×C₄	—	2	2	no	—
610	C₂²×C₄	—	8	2	no	—
611	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
612	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
613	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
614	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
615	SD₁₆	—	4	4	no	—
616	D₈	—	4	2	no	—
617	D₈	—	4	2	no	—
618	M₁₆	—	4	4	no	—
619	C₂×C₈	—	4	4	no	—
620	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
621	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
622	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	2	4	no	—
625	C₄⋊C₄	—	2	1	no	—
626	C₄⋊C₄	—	2	4	no	—
627	C₄⋊C₄	—	2	4	no	—
628	C₄⋊C₄	—	2	1	no	—
629	C₄⋊C₄	—	2	1	no	—
630	C₄⋊C₄	—	2	1	no	—
631	C₄⋊C₄	—	2	1	no	—
632	C₄⋊C₄	—	2	2	no	—
633	C₄⋊C₄	—	2	2	no	—
634	C₄⋊C₄	—	2	2	no	—
635	C₄⋊C₄	—	2	1	no	—
636	C₄⋊C₄	—	2	2	no	—
637	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
638	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
639	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
640	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
641	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
642	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
643	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	2	no	—
646	C₂²⋊C₄	—	2	4	no	—
647	C₂²⋊C₄	—	2	4	no	—
648	C₂²⋊C₄	—	2	2	no	—
649	C₂²⋊C₄	—	2	2	no	—
650	C₂²⋊C₄	—	2	4	no	—
651	C₂²⋊C₄	—	2	4	no	—
652	C₂²⋊C₄	—	2	4	no	—
653	C₂²⋊C₄	—	2	2	no	—
654	C₂²⋊C₄	—	2	2	no	—
655	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
656	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
657	C₄²	—	2	4	no	—
658	C₄²	—	2	2	no	—
659	C₄²	—	2	2	no	—
660	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
661	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
662	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
663	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
664	C₂³	—	2	2	no	—
665	C₂³	—	2	2	no	—
666	C₂³	—	4	2	no	—
667	C₂³	—	8	1	no	—
668	C₂³	—	8	1	no	—
669	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
670	C₂³	C₂²×D₄×C₁₉	1	4	yes	—
671	Q₈	—	2	4	no	—
672	Q₈	—	4	2	no	—
673	Q₈	—	4	2	no	—
674	Q₈	—	4	2	no	—
675	Q₈	—	8	1	no	—
676	Q₈	—	8	1	no	—
677	D₄	—	2	4	no	—
678	D₄	—	2	2	no	—
679	D₄	—	2	2	no	—
680	D₄	—	2	2	no	—
681	D₄	—	2	2	no	—
682	D₄	—	4	4	no	—
683	D₄	—	4	2	no	—
684	D₄	—	4	2	no	—
685	D₄	—	4	2	no	—
686	D₄	—	4	2	no	—
687	D₄	—	8	1	no	—
688	D₄	—	8	4	no	—
689	D₄	—	8	2	no	—
690	D₄	—	8	4	no	—
691	D₄	—	8	4	no	—
692	D₄	—	8	4	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	4	no	—
695	C₂×C₄	—	2	4	no	—
696	C₂×C₄	—	2	2	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	2	2	no	—
699	C₂×C₄	—	2	2	no	—
700	C₂×C₄	—	2	2	no	—
701	C₂×C₄	—	2	2	no	—
702	C₂×C₄	—	2	2	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	4	no	—
705	C₂×C₄	—	4	4	no	—
706	C₂×C₄	—	8	2	no	—
707	C₂×C₄	—	8	4	no	—
708	C₂×C₄	—	8	1	no	—
709	C₂×C₄	—	8	4	no	—
710	C₂×C₄	—	8	4	no	—
711	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
712	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
713	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
714	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
715	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
716	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
717	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
718	C₈	—	2	2	no	—
719	C₈	—	2	4	no	—
720	C₈	—	2	2	no	—
721	C₂²	—	2	1	no	—
722	C₂²	—	2	4	no	—
723	C₂²	—	2	1	no	—
724	C₂²	—	2	4	no	—
725	C₂²	—	2	1	no	—
726	C₂²	—	2	4	no	—
727	C₂²	—	4	2	no	—
728	C₂²	—	4	2	no	—
729	C₂²	—	4	2	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	2	no	—
732	C₂²	—	4	2	no	—
733	C₂²	—	8	4	no	—
734	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
735	C₄	—	2	4	no	—
736	C₄	—	2	1	no	—
737	C₄	—	2	1	no	—
738	C₄	—	2	1	no	—
739	C₄	—	2	1	no	—
740	C₄	—	4	2	no	—
741	C₄	—	4	2	no	—
742	C₄	—	4	2	no	—
743	C₄	—	4	2	no	—
744	C₄	—	4	2	no	—
745	C₄	—	4	2	no	—
746	C₄	C₁₉×#576	1	2	yes	—
747	C₄	C₁₉×#585	1	2	yes	—
748	C₂	—	4	1	no	—
749	C₂	—	4	4	no	—
750	C₂	—	8	2	no	—
751	C₂	—	8	2	no	—
752	C₂	C₁₉×#3485	1	1	yes	characteristic
753	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
754	C₂	C₁₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3548	C₂	semidirect
2. C₁₉×#3506	C₂	semidirect
3. C₁₉×#3354	C₂	semidirect
4. C₁₉×#3346	C₂	semidirect
5. C₁₉×#3334	C₂	semidirect
6. C₁₉×#3330	C₂	semidirect
7. C₁₉×#3309	C₂	semidirect
8. C₁₉×#3303	C₂	semidirect
9. C₁₉×#3235	C₂	semidirect
10. C₁₉×#3231	C₂	semidirect
11. C₁₉×#3198	C₂	semidirect
12. C₁₉×#3110	C₂	semidirect
13. C₁₉×#3100	C₂	semidirect
14. C₁₉×#3098	C₂	semidirect
15. C₁₉×#2981	C₂	semidirect
21. C₁₉×#554	C₂²	semidirect
25. C₁₉×#550	C₂²	semidirect
27. C₁₉×#547	C₂²	semidirect
28. C₁₉×#547	C₂²	semidirect
41. C₁₉×#501	C₂²	semidirect
42. C₁₉×#500	C₂²	semidirect
43. C₁₉×#498	C₂²	semidirect
44. C₁₉×#490	C₂²	semidirect
45. C₁₉×#487	C₂²	semidirect
46. C₁₉×#487	C₂²	semidirect
48. C₁₉×#485	C₂²	semidirect
50. C₁₉×#484	C₂²	semidirect
52. C₁₉×#482	C₂²	semidirect
56. C₁₉×#480	C₂²	semidirect
57. C₁₉×#479	C₂²	semidirect
58. C₁₉×#476	C₂²	semidirect
61. C₁₉×#474	C₂²	semidirect
75. C₁₉×#436	C₂²	semidirect
76. C₁₉×#435	C₂²	semidirect
77. C₈×D₄×C₁₉	C₂²	semidirect
80. C₁₉×#428	C₂²	semidirect
81. C₂×C₁₉×#107	C₂²	semidirect
82. C₁₉×#417	C₂²	semidirect
83. C₁₉×#416	C₂²	semidirect
286. #61807	C₁₉	direct (N × H)
344. #3548	C₂×C₁₉	semidirect
345. #3506	C₂×C₁₉	semidirect
346. #3354	C₂×C₁₉	semidirect
347. #3346	C₂×C₁₉	semidirect
348. #3334	C₂×C₁₉	semidirect
349. #3330	C₂×C₁₉	semidirect
350. #3309	C₂×C₁₉	semidirect
351. #3303	C₂×C₁₉	semidirect
352. #3235	C₂×C₁₉	semidirect
353. #3231	C₂×C₁₉	semidirect
354. #3198	C₂×C₁₉	semidirect
355. #3110	C₂×C₁₉	semidirect
356. #3100	C₂×C₁₉	semidirect
357. #3098	C₂×C₁₉	semidirect
358. #2981	C₂×C₁₉	semidirect
391. #554	C₂²×C₁₉	semidirect
395. #550	C₂²×C₁₉	semidirect
397. #547	C₂²×C₁₉	semidirect
398. #547	C₂²×C₁₉	semidirect
411. #501	C₂²×C₁₉	semidirect
412. #500	C₂²×C₁₉	semidirect
413. #498	C₂²×C₁₉	semidirect
414. #490	C₂²×C₁₉	semidirect
415. #487	C₂²×C₁₉	semidirect
416. #487	C₂²×C₁₉	semidirect
418. #485	C₂²×C₁₉	semidirect
420. #484	C₂²×C₁₉	semidirect
422. #482	C₂²×C₁₉	semidirect
426. #480	C₂²×C₁₉	semidirect
427. #479	C₂²×C₁₉	semidirect
428. #476	C₂²×C₁₉	semidirect
431. #474	C₂²×C₁₉	semidirect
445. #436	C₂²×C₁₉	semidirect
446. #435	C₂²×C₁₉	semidirect
447. C₈×D₄	C₂²×C₁₉	semidirect
450. #428	C₂²×C₁₉	semidirect
451. C₂×#107	C₂²×C₁₉	semidirect
452. #417	C₂²×C₁₉	semidirect
453. #416	C₂²×C₁₉	semidirect
574. C₁₉	#61807	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×#3548	2
C₁₉×#3506	2
C₁₉×#3354	2
C₁₉×#3346	2
C₁₉×#3334	2
C₁₉×#3330	2
C₁₉×#3309	2
C₁₉×#3303	2
C₁₉×#3235	2
C₁₉×#3231	2
C₁₉×#3198	2
C₁₉×#3110	2
C₁₉×#3100	2
C₁₉×#3098	2
C₁₉×#2981	2
#61807	19

Subgroups — C19×#61807 #18067766

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#61807 #18067766