Subgroups — C₁₉×#61686 #18067645

Order 4864.

2068 conjugacy classes of subgroups.

The subgroup lattice has 784 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×#3497	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3332	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3316	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3298	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3284	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3276	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3271	C₂	1	4	yes	maximal, complemented
9	C₁₉×#3214	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3210	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3204	C₂	1	4	yes	maximal, complemented
12	C₁₉×#3113	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3103	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3013	C₂	1	4	yes	maximal, complemented
15	C₁₉×#2981	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	2	yes	—
17	C₂×C₁₉×#137	C₂²	1	4	yes	—
18	C₂×C₁₉×#135	C₂²	1	4	yes	—
19	C₁₉×#562	—	2	2	no	—
20	C₁₉×#554	—	2	1	no	—
21	C₁₉×#554	C₂²	1	2	yes	—
22	C₁₉×#550	—	2	1	no	—
23	C₁₉×#550	—	2	1	no	—
24	C₁₉×#550	C₂²	1	2	yes	—
25	C₁₉×#550	C₂²	1	2	yes	—
26	D₄×Q₈×C₁₉	—	2	1	no	—
27	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
28	C₁₉×#548	—	2	2	no	—
29	C₁₉×#548	C₂²	1	4	yes	—
30	C₁₉×#547	C₂²	1	2	yes	—
31	C₁₉×#547	C₂²	1	2	yes	—
32	C₁₉×#540	—	2	2	no	—
33	C₁₉×#537	—	2	2	no	—
34	C₁₉×#537	—	2	2	no	—
35	C₁₉×#537	C₂²	1	2	yes	—
36	C₁₉×#537	C₂²	1	4	yes	—
37	C₁₉×#533	C₂²	1	1	yes	characteristic
38	C₁₉×#532	—	2	2	no	—
39	C₁₉×#532	C₂²	1	1	yes	characteristic
40	C₁₉×#532	C₂²	1	1	yes	characteristic
41	C₁₉×#532	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
43	C₁₉×#496	C₂²	1	2	yes	—
44	C₁₉×#494	C₂²	1	1	yes	characteristic
45	C₁₉×#492	C₂²	1	1	yes	characteristic
46	C₁₉×#489	C₂²	1	2	yes	—
47	C₁₉×#487	C₂²	1	1	yes	characteristic
48	C₁₉×#486	C₂²	1	1	yes	characteristic
49	C₁₉×#483	C₂²	1	2	yes	—
50	C₁₉×#483	C₂²	1	4	yes	—
51	C₁₉×#481	C₂²	1	2	yes	—
52	C₁₉×#481	C₂²	1	4	yes	—
53	C₁₉×#475	C₂²	1	2	yes	—
54	C₁₉×#475	C₂²	1	2	yes	—
55	C₁₉×#470	C₂²	1	4	yes	—
56	C₁₉×#469	C₂²	1	4	yes	—
57	C₁₉×#465	C₂²	1	4	yes	—
58	C₁₉×#465	C₂²	1	4	yes	—
59	C₁₉×#464	C₂²	1	4	yes	—
60	C₁₉×#462	C₂²	1	2	yes	—
61	C₁₉×#461	C₂²	1	2	yes	—
62	C₁₉×#460	C₂²	1	2	yes	—
63	C₁₉×#459	C₂²	1	2	yes	—
64	C₁₉×#452	C₂²	1	4	yes	—
65	C₁₉×#452	C₂²	1	4	yes	—
66	C₁₉×#452	C₂²	1	4	yes	—
67	C₁₉×#451	C₂²	1	2	yes	—
68	C₁₉×#451	C₂²	1	4	yes	—
69	C₁₉×#449	C₂²	1	4	yes	—
70	C₁₉×#449	C₂²	1	4	yes	—
71	C₁₉×#449	C₂²	1	4	yes	—
72	C₁₉×#448	C₂²	1	2	yes	—
73	C₁₉×#448	C₂²	1	4	yes	—
74	C₁₉×#441	C₂²	1	4	yes	—
75	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
76	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
77	C₁₉×#436	C₂²	1	2	yes	—
78	C₁₉×#435	C₂²	1	4	yes	—
79	C₈×D₄×C₁₉	C₂²	1	2	yes	—
80	C₁₉×#432	C₂²	1	1	yes	characteristic
81	C₁₉×#431	C₂²	1	1	yes	characteristic
82	C₁₉×#417	C₂²	1	4	yes	—
83	C₂×C₁₉×#103	C₂²	1	4	yes	—
84	C₁₉×#408	C₂²	1	4	yes	—
85	C₁₉×2₋¹⁺⁴	—	4	8	no	—
86	C₂×#41×C₁₉	—	2	4	no	—
87	C₂×#41×C₁₉	—	2	2	no	—
88	C₂×#41×C₁₉	—	2	2	no	—
89	C₂×#41×C₁₉	—	2	1	no	—
90	C₂×#41×C₁₉	C₂³	1	4	yes	—
91	C₂×#41×C₁₉	C₂³	1	2	yes	—
92	C₂×#41×C₁₉	C₂³	1	4	yes	—
93	C₂×#41×C₁₉	C₂³	1	2	yes	—
94	C₂²×Q₈×C₁₉	—	2	2	no	—
95	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
96	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
97	C₁₉×#137	—	4	8	no	—
98	C₁₉×#135	—	4	8	no	—
99	C₂×Q₁₆×C₁₉	C₂³	1	4	yes	—
100	C₂×Q₁₆×C₁₉	C₂³	1	4	yes	—
101	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
102	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
103	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
104	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
105	C₂×D₈×C₁₉	C₂³	1	4	yes	—
106	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
107	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
108	C₁₉×C₄⋊Q₈	—	2	2	no	—
109	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
110	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
111	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
112	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
113	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
114	C₁₉×#127	—	2	2	no	—
115	C₁₉×#127	—	2	2	no	—
116	C₁₉×#127	D₄	1	1	yes	characteristic
117	C₁₉×#127	C₂³	1	1	yes	characteristic
118	C₁₉×#127	C₂³	1	1	yes	characteristic
119	C₁₉×#125	—	2	2	no	—
120	C₁₉×#125	—	2	1	no	—
121	C₁₉×#124	—	2	4	no	—
122	C₁₉×#124	—	2	1	no	—
123	C₁₉×#124	D₄	1	2	yes	—
124	C₁₉×#124	C₂³	1	2	yes	—
125	C₁₉×#123	—	2	4	no	—
126	C₁₉×#123	—	2	4	no	—
127	C₁₉×C₂²⋊Q₈	—	2	2	no	—
128	C₁₉×C₂²⋊Q₈	—	2	4	no	—
129	C₁₉×C₂²⋊Q₈	—	2	1	no	—
130	C₁₉×C₂²⋊Q₈	—	2	2	no	—
131	C₁₉×C₂²⋊Q₈	—	2	4	no	—
132	C₁₉×C₂²⋊Q₈	—	2	4	no	—
133	C₁₉×C₂²⋊Q₈	—	2	4	no	—
134	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
135	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
136	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
137	C₁₉×#121	—	2	4	no	—
138	C₁₉×#121	—	2	4	no	—
139	C₁₉×#121	—	2	4	no	—
140	C₁₉×#121	—	2	2	no	—
141	C₁₉×#121	—	2	4	no	—
142	C₁₉×#121	—	2	2	no	—
143	C₁₉×#121	—	2	4	no	—
144	C₁₉×#121	—	2	1	no	—
145	C₁₉×#121	—	2	1	no	—
146	C₁₉×#121	—	2	1	no	—
147	C₁₉×#121	—	2	4	no	—
148	C₁₉×#121	—	2	4	no	—
149	C₁₉×#121	D₄	1	2	yes	—
150	C₁₉×#121	D₄	1	2	yes	—
151	C₁₉×#121	C₂³	1	2	yes	—
152	C₁₉×#121	C₂³	1	4	yes	—
153	C₁₉×#121	C₂³	1	4	yes	—
154	C₄×Q₈×C₁₉	—	2	1	no	—
155	C₄×Q₈×C₁₉	—	2	1	no	—
156	C₄×Q₈×C₁₉	—	2	1	no	—
157	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
158	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
159	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
160	C₄×D₄×C₁₉	—	2	2	no	—
161	C₄×D₄×C₁₉	—	2	2	no	—
162	C₄×D₄×C₁₉	—	2	2	no	—
163	C₄×D₄×C₁₉	—	2	2	no	—
164	C₄×D₄×C₁₉	—	2	4	no	—
165	C₄×D₄×C₁₉	—	2	1	no	—
166	C₄×D₄×C₁₉	—	2	1	no	—
167	C₄×D₄×C₁₉	—	2	1	no	—
168	C₄×D₄×C₁₉	C₂³	1	2	yes	—
169	C₄×D₄×C₁₉	C₂³	1	2	yes	—
170	C₄×D₄×C₁₉	C₂³	1	2	yes	—
171	C₁₉×#117	—	2	1	no	—
172	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
173	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
174	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
175	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
176	C₂×C₄²×C₁₉	—	2	1	no	—
177	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
178	C₁₉×#106	C₂³	1	2	yes	—
179	C₁₉×#106	C₂³	1	2	yes	—
180	C₁₉×#106	C₂³	1	4	yes	—
181	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
182	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
183	C₁₉×#103	C₂³	1	2	yes	—
184	C₁₉×#103	C₂³	1	4	yes	—
185	C₁₉×#103	C₂³	1	4	yes	—
186	C₁₉×#103	C₂³	1	4	yes	—
187	C₁₉×#103	C₂³	1	2	yes	—
188	C₁₉×#103	C₂³	1	4	yes	—
189	C₁₉×#102	C₂³	1	4	yes	—
190	C₁₉×#102	C₂³	1	4	yes	—
191	C₁₉×#102	C₂³	1	2	yes	—
192	C₁₉×#102	C₂³	1	2	yes	—
193	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
194	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
195	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
196	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
197	C₁₉×#97	C₂³	1	2	yes	—
198	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
199	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
200	#41×C₁₉	—	2	8	no	—
201	#41×C₁₉	—	4	4	no	—
202	#41×C₁₉	—	4	4	no	—
203	#41×C₁₉	—	4	4	no	—
204	#41×C₁₉	—	4	16	no	—
205	#41×C₁₉	—	4	4	no	—
206	#41×C₁₉	—	4	4	no	—
207	#41×C₁₉	—	4	8	no	—
208	#41×C₁₉	—	8	2	no	—
209	#41×C₁₉	—	8	4	no	—
210	C₂×Q₈×C₁₉	—	2	4	no	—
211	C₂×Q₈×C₁₉	—	2	1	no	—
212	C₂×Q₈×C₁₉	—	2	1	no	—
213	C₂×Q₈×C₁₉	—	2	4	no	—
214	C₂×Q₈×C₁₉	—	2	1	no	—
215	C₂×Q₈×C₁₉	—	2	8	no	—
216	C₂×Q₈×C₁₉	—	4	4	no	—
217	C₂×Q₈×C₁₉	—	4	8	no	—
218	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
219	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
220	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
221	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
222	C₂×D₄×C₁₉	—	2	2	no	—
223	C₂×D₄×C₁₉	—	2	4	no	—
224	C₂×D₄×C₁₉	—	2	4	no	—
225	C₂×D₄×C₁₉	—	2	2	no	—
226	C₂×D₄×C₁₉	—	2	4	no	—
227	C₂×D₄×C₁₉	—	2	4	no	—
228	C₂×D₄×C₁₉	—	2	1	no	—
229	C₂×D₄×C₁₉	—	2	1	no	—
230	C₂×D₄×C₁₉	—	2	1	no	—
231	C₂×D₄×C₁₉	—	2	1	no	—
232	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
233	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
234	C₂×D₄×C₁₉	C₂×D₄	1	4	yes	—
235	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
236	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
237	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
238	C₂²×C₄×C₁₉	—	2	1	no	—
239	C₂²×C₄×C₁₉	—	2	4	no	—
240	C₂²×C₄×C₁₉	—	2	1	no	—
241	C₂²×C₄×C₁₉	—	2	4	no	—
242	C₂²×C₄×C₁₉	—	2	2	no	—
243	C₂²×C₄×C₁₉	—	2	4	no	—
244	C₂²×C₄×C₁₉	—	2	2	no	—
245	C₂²×C₄×C₁₉	—	2	4	no	—
246	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
247	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
248	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
249	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
250	Q₁₆×C₁₉	—	2	8	no	—
251	Q₁₆×C₁₉	—	4	4	no	—
252	SD₁₆×C₁₉	—	2	4	no	—
253	SD₁₆×C₁₉	—	2	4	no	—
254	SD₁₆×C₁₉	—	4	4	no	—
255	SD₁₆×C₁₉	—	4	4	no	—
256	D₈×C₁₉	—	4	4	no	—
257	M₁₆×C₁₉	—	4	4	no	—
258	C₂×C₈×C₁₉	—	4	4	no	—
259	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
260	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
261	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
262	C₄⋊C₄×C₁₉	—	2	1	no	—
263	C₄⋊C₄×C₁₉	—	2	2	no	—
264	C₄⋊C₄×C₁₉	—	2	2	no	—
265	C₄⋊C₄×C₁₉	—	2	4	no	—
266	C₄⋊C₄×C₁₉	—	2	1	no	—
267	C₄⋊C₄×C₁₉	—	2	4	no	—
268	C₄⋊C₄×C₁₉	—	2	1	no	—
269	C₄⋊C₄×C₁₉	—	2	1	no	—
270	C₄⋊C₄×C₁₉	—	2	1	no	—
271	C₄⋊C₄×C₁₉	—	2	1	no	—
272	C₄⋊C₄×C₁₉	—	2	1	no	—
273	C₄⋊C₄×C₁₉	—	2	4	no	—
274	C₄⋊C₄×C₁₉	—	2	2	no	—
275	C₄⋊C₄×C₁₉	—	2	2	no	—
276	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
277	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
278	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
279	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
280	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
281	C₂²⋊C₄×C₁₉	—	2	2	no	—
282	C₂²⋊C₄×C₁₉	—	2	4	no	—
283	C₂²⋊C₄×C₁₉	—	2	4	no	—
284	C₂²⋊C₄×C₁₉	—	2	2	no	—
285	C₂²⋊C₄×C₁₉	—	2	2	no	—
286	C₂²⋊C₄×C₁₉	—	2	4	no	—
287	C₂²⋊C₄×C₁₉	—	2	4	no	—
288	C₂²⋊C₄×C₁₉	—	2	2	no	—
289	C₂²⋊C₄×C₁₉	—	2	2	no	—
290	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
291	C₂²⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
292	C₄²×C₁₉	—	2	2	no	—
293	C₄²×C₁₉	—	2	2	no	—
294	C₄²×C₁₉	—	2	2	no	—
295	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
296	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
297	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
298	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
299	#61686	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
300	C₂³×C₁₉	—	2	2	no	—
301	C₂³×C₁₉	—	2	2	no	—
302	C₂³×C₁₉	C₂²×D₄	1	4	yes	—
303	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
304	Q₈×C₁₉	—	2	4	no	—
305	Q₈×C₁₉	—	2	2	no	—
306	Q₈×C₁₉	—	2	4	no	—
307	Q₈×C₁₉	—	2	4	no	—
308	Q₈×C₁₉	—	4	2	no	—
309	Q₈×C₁₉	—	4	8	no	—
310	Q₈×C₁₉	—	4	2	no	—
311	Q₈×C₁₉	—	8	1	no	—
312	Q₈×C₁₉	H(5,𝔽₂)	1	4	yes	—
313	D₄×C₁₉	—	2	4	no	—
314	D₄×C₁₉	—	2	2	no	—
315	D₄×C₁₉	—	2	4	no	—
316	D₄×C₁₉	—	2	2	no	—
317	D₄×C₁₉	—	4	2	no	—
318	D₄×C₁₉	—	4	2	no	—
319	D₄×C₁₉	—	4	4	no	—
320	D₄×C₁₉	—	4	8	no	—
321	D₄×C₁₉	—	4	2	no	—
322	D₄×C₁₉	—	4	4	no	—
323	D₄×C₁₉	—	4	2	no	—
324	D₄×C₁₉	—	8	1	no	—
325	D₄×C₁₉	—	8	1	no	—
326	D₄×C₁₉	—	8	4	no	—
327	D₄×C₁₉	—	8	4	no	—
328	D₄×C₁₉	—	8	2	no	—
329	D₄×C₁₉	—	8	4	no	—
330	C₂×C₄×C₁₉	—	2	4	no	—
331	C₂×C₄×C₁₉	—	2	2	no	—
332	C₂×C₄×C₁₉	—	2	2	no	—
333	C₂×C₄×C₁₉	—	2	4	no	—
334	C₂×C₄×C₁₉	—	2	4	no	—
335	C₂×C₄×C₁₉	—	2	2	no	—
336	C₂×C₄×C₁₉	—	2	2	no	—
337	C₂×C₄×C₁₉	—	2	2	no	—
338	C₂×C₄×C₁₉	—	2	2	no	—
339	C₂×C₄×C₁₉	—	2	2	no	—
340	C₂×C₄×C₁₉	—	2	2	no	—
341	C₂×C₄×C₁₉	—	4	1	no	—
342	C₂×C₄×C₁₉	—	4	8	no	—
343	C₂×C₄×C₁₉	—	4	8	no	—
344	C₂×C₄×C₁₉	—	4	4	no	—
345	C₂×C₄×C₁₉	—	4	4	no	—
346	C₂×C₄×C₁₉	—	8	4	no	—
347	C₂×C₄×C₁₉	—	8	1	no	—
348	C₂×C₄×C₁₉	—	8	4	no	—
349	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
350	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
351	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
352	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
353	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
354	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
355	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
356	C₈×C₁₉	—	2	2	no	—
357	C₈×C₁₉	—	2	4	no	—
358	C₈×C₁₉	—	2	2	no	—
359	#3548	C₂×C₁₉	1	1	yes	characteristic, complemented
360	#3497	C₂×C₁₉	1	1	yes	characteristic, complemented
361	#3332	C₂×C₁₉	1	2	yes	complemented
362	#3316	C₂×C₁₉	1	4	yes	complemented
363	#3298	C₂×C₁₉	1	2	yes	complemented
364	#3284	C₂×C₁₉	1	2	yes	complemented
365	#3276	C₂×C₁₉	1	2	yes	complemented
366	#3271	C₂×C₁₉	1	4	yes	complemented
367	#3214	C₂×C₁₉	1	1	yes	characteristic, complemented
368	#3210	C₂×C₁₉	1	1	yes	characteristic, complemented
369	#3204	C₂×C₁₉	1	4	yes	complemented
370	#3113	C₂×C₁₉	1	1	yes	characteristic, complemented
371	#3103	C₂×C₁₉	1	1	yes	characteristic, complemented
372	#3013	C₂×C₁₉	1	4	yes	complemented
373	#2981	C₂×C₁₉	1	1	yes	characteristic, complemented
374	C₂²×C₁₉	—	2	1	no	—
375	C₂²×C₁₉	—	2	4	no	—
376	C₂²×C₁₉	—	2	1	no	—
377	C₂²×C₁₉	—	2	4	no	—
378	C₂²×C₁₉	—	2	1	no	—
379	C₂²×C₁₉	—	2	4	no	—
380	C₂²×C₁₉	—	4	2	no	—
381	C₂²×C₁₉	—	4	2	no	—
382	C₂²×C₁₉	—	4	2	no	—
383	C₂²×C₁₉	—	4	2	no	—
384	C₂²×C₁₉	—	4	2	no	—
385	C₂²×C₁₉	—	4	2	no	—
386	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
387	C₄×C₁₉	—	2	1	no	—
388	C₄×C₁₉	—	2	1	no	—
389	C₄×C₁₉	—	2	4	no	—
390	C₄×C₁₉	—	2	1	no	—
391	C₄×C₁₉	—	2	4	no	—
392	C₄×C₁₉	—	2	1	no	—
393	C₄×C₁₉	—	4	2	no	—
394	C₄×C₁₉	—	4	2	no	—
395	C₄×C₁₉	—	4	2	no	—
396	C₄×C₁₉	—	4	2	no	—
397	C₄×C₁₉	—	4	2	no	—
398	C₄×C₁₉	#577	1	2	yes	—
399	C₄×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
400	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	2	yes	—
401	C₂×#137	C₂²×C₁₉	1	4	yes	—
402	C₂×#135	C₂²×C₁₉	1	4	yes	—
403	#562	—	2	2	no	—
404	#554	—	2	1	no	—
405	#554	C₂²×C₁₉	1	2	yes	—
406	#550	—	2	1	no	—
407	#550	—	2	1	no	—
408	#550	C₂²×C₁₉	1	2	yes	—
409	#550	C₂²×C₁₉	1	2	yes	—
410	D₄×Q₈	—	2	1	no	—
411	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
412	#548	—	2	2	no	—
413	#548	C₂²×C₁₉	1	4	yes	—
414	#547	C₂²×C₁₉	1	2	yes	—
415	#547	C₂²×C₁₉	1	2	yes	—
416	#540	—	2	2	no	—
417	#537	—	2	2	no	—
418	#537	—	2	2	no	—
419	#537	C₂²×C₁₉	1	2	yes	—
420	#537	C₂²×C₁₉	1	4	yes	—
421	#533	C₂²×C₁₉	1	1	yes	characteristic
422	#532	—	2	2	no	—
423	#532	C₂²×C₁₉	1	1	yes	characteristic
424	#532	C₂²×C₁₉	1	1	yes	characteristic
425	#532	C₂²×C₁₉	1	1	yes	characteristic
426	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
427	#496	C₂²×C₁₉	1	2	yes	—
428	#494	C₂²×C₁₉	1	1	yes	characteristic
429	#492	C₂²×C₁₉	1	1	yes	characteristic
430	#489	C₂²×C₁₉	1	2	yes	—
431	#487	C₂²×C₁₉	1	1	yes	characteristic
432	#486	C₂²×C₁₉	1	1	yes	characteristic
433	#483	C₂²×C₁₉	1	2	yes	—
434	#483	C₂²×C₁₉	1	4	yes	—
435	#481	C₂²×C₁₉	1	4	yes	—
436	#481	C₂²×C₁₉	1	2	yes	—
437	#475	C₂²×C₁₉	1	2	yes	—
438	#475	C₂²×C₁₉	1	2	yes	—
439	#470	C₂²×C₁₉	1	4	yes	—
440	#469	C₂²×C₁₉	1	4	yes	—
441	#465	C₂²×C₁₉	1	4	yes	—
442	#465	C₂²×C₁₉	1	4	yes	—
443	#464	C₂²×C₁₉	1	4	yes	—
444	#462	C₂²×C₁₉	1	2	yes	—
445	#461	C₂²×C₁₉	1	2	yes	—
446	#460	C₂²×C₁₉	1	2	yes	—
447	#459	C₂²×C₁₉	1	2	yes	—
448	#452	C₂²×C₁₉	1	4	yes	—
449	#452	C₂²×C₁₉	1	4	yes	—
450	#452	C₂²×C₁₉	1	4	yes	—
451	#451	C₂²×C₁₉	1	2	yes	—
452	#451	C₂²×C₁₉	1	4	yes	—
453	#449	C₂²×C₁₉	1	4	yes	—
454	#449	C₂²×C₁₉	1	4	yes	—
455	#449	C₂²×C₁₉	1	4	yes	—
456	#448	C₂²×C₁₉	1	2	yes	—
457	#448	C₂²×C₁₉	1	4	yes	—
458	#441	C₂²×C₁₉	1	4	yes	—
459	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
460	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
461	#436	C₂²×C₁₉	1	2	yes	—
462	#435	C₂²×C₁₉	1	4	yes	—
463	C₈×D₄	C₂²×C₁₉	1	2	yes	—
464	#432	C₂²×C₁₉	1	1	yes	characteristic
465	#431	C₂²×C₁₉	1	1	yes	characteristic
466	#417	C₂²×C₁₉	1	4	yes	—
467	C₂×#103	C₂²×C₁₉	1	4	yes	—
468	#408	C₂²×C₁₉	1	4	yes	—
469	C₂×C₁₉	—	4	1	no	—
470	C₂×C₁₉	—	4	4	no	—
471	C₂×C₁₉	—	8	2	no	—
472	C₂×C₁₉	—	8	2	no	—
473	C₂×C₁₉	#3484	1	1	yes	characteristic
474	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
475	C₂×C₁₉	#3586	1	1	yes	characteristic
476	2₋¹⁺⁴	—	4	8	no	—
477	C₂×#41	—	2	4	no	—
478	C₂×#41	—	2	2	no	—
479	C₂×#41	—	2	2	no	—
480	C₂×#41	—	2	1	no	—
481	C₂×#41	C₂³×C₁₉	1	4	yes	—
482	C₂×#41	C₂³×C₁₉	1	2	yes	—
483	C₂×#41	C₂³×C₁₉	1	4	yes	—
484	C₂×#41	C₂³×C₁₉	1	2	yes	—
485	C₂²×Q₈	—	2	2	no	—
486	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
487	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
488	#137	—	4	8	no	—
489	#135	—	4	8	no	—
490	C₂×Q₁₆	C₂³×C₁₉	1	4	yes	—
491	C₂×Q₁₆	C₂³×C₁₉	1	4	yes	—
492	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
493	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
494	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
495	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
496	C₂×D₈	C₂³×C₁₉	1	4	yes	—
497	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
498	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
499	C₄⋊Q₈	—	2	2	no	—
500	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
501	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
502	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
503	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
504	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
505	#127	—	2	2	no	—
506	#127	—	2	2	no	—
507	#127	D₄×C₁₉	1	1	yes	characteristic
508	#127	C₂³×C₁₉	1	1	yes	characteristic
509	#127	C₂³×C₁₉	1	1	yes	characteristic
510	#125	—	2	2	no	—
511	#125	—	2	1	no	—
512	#124	—	2	4	no	—
513	#124	—	2	1	no	—
514	#124	D₄×C₁₉	1	2	yes	—
515	#124	C₂³×C₁₉	1	2	yes	—
516	#123	—	2	4	no	—
517	#123	—	2	4	no	—
518	C₂²⋊Q₈	—	2	2	no	—
519	C₂²⋊Q₈	—	2	4	no	—
520	C₂²⋊Q₈	—	2	1	no	—
521	C₂²⋊Q₈	—	2	2	no	—
522	C₂²⋊Q₈	—	2	4	no	—
523	C₂²⋊Q₈	—	2	4	no	—
524	C₂²⋊Q₈	—	2	4	no	—
525	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
526	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
527	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
528	#121	—	2	4	no	—
529	#121	—	2	4	no	—
530	#121	—	2	4	no	—
531	#121	—	2	2	no	—
532	#121	—	2	4	no	—
533	#121	—	2	2	no	—
534	#121	—	2	4	no	—
535	#121	—	2	1	no	—
536	#121	—	2	1	no	—
537	#121	—	2	1	no	—
538	#121	—	2	4	no	—
539	#121	—	2	4	no	—
540	#121	D₄×C₁₉	1	2	yes	—
541	#121	D₄×C₁₉	1	2	yes	—
542	#121	C₂³×C₁₉	1	2	yes	—
543	#121	C₂³×C₁₉	1	4	yes	—
544	#121	C₂³×C₁₉	1	4	yes	—
545	C₄×Q₈	—	2	1	no	—
546	C₄×Q₈	—	2	1	no	—
547	C₄×Q₈	—	2	1	no	—
548	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
549	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
550	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
551	C₄×D₄	—	2	2	no	—
552	C₄×D₄	—	2	2	no	—
553	C₄×D₄	—	2	2	no	—
554	C₄×D₄	—	2	2	no	—
555	C₄×D₄	—	2	4	no	—
556	C₄×D₄	—	2	1	no	—
557	C₄×D₄	—	2	1	no	—
558	C₄×D₄	—	2	1	no	—
559	C₄×D₄	C₂³×C₁₉	1	2	yes	—
560	C₄×D₄	C₂³×C₁₉	1	2	yes	—
561	C₄×D₄	C₂³×C₁₉	1	2	yes	—
562	#117	—	2	1	no	—
563	C₂×C₄⋊C₄	—	2	1	no	—
564	C₂×C₄⋊C₄	—	2	2	no	—
565	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
566	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
567	C₂×C₄²	—	2	1	no	—
568	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
569	#106	C₂³×C₁₉	1	2	yes	—
570	#106	C₂³×C₁₉	1	2	yes	—
571	#106	C₂³×C₁₉	1	4	yes	—
572	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
573	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
574	#103	C₂³×C₁₉	1	2	yes	—
575	#103	C₂³×C₁₉	1	4	yes	—
576	#103	C₂³×C₁₉	1	4	yes	—
577	#103	C₂³×C₁₉	1	4	yes	—
578	#103	C₂³×C₁₉	1	2	yes	—
579	#103	C₂³×C₁₉	1	4	yes	—
580	#102	C₂³×C₁₉	1	4	yes	—
581	#102	C₂³×C₁₉	1	4	yes	—
582	#102	C₂³×C₁₉	1	2	yes	—
583	#102	C₂³×C₁₉	1	2	yes	—
584	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
585	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
586	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
587	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
588	#97	C₂³×C₁₉	1	2	yes	—
589	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
590	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
591	C₁₉	#61686	1	1	yes	characteristic, direct product factor, Sylow
592	#41	—	2	8	no	—
593	#41	—	4	4	no	—
594	#41	—	4	4	no	—
595	#41	—	4	4	no	—
596	#41	—	4	16	no	—
597	#41	—	4	4	no	—
598	#41	—	4	4	no	—
599	#41	—	4	8	no	—
600	#41	—	8	2	no	—
601	#41	—	8	4	no	—
602	C₂×Q₈	—	2	4	no	—
603	C₂×Q₈	—	2	1	no	—
604	C₂×Q₈	—	2	1	no	—
605	C₂×Q₈	—	2	4	no	—
606	C₂×Q₈	—	2	1	no	—
607	C₂×Q₈	—	2	8	no	—
608	C₂×Q₈	—	4	4	no	—
609	C₂×Q₈	—	4	8	no	—
610	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
611	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
612	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
613	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
614	C₂×D₄	—	2	2	no	—
615	C₂×D₄	—	2	4	no	—
616	C₂×D₄	—	2	4	no	—
617	C₂×D₄	—	2	2	no	—
618	C₂×D₄	—	2	4	no	—
619	C₂×D₄	—	2	4	no	—
620	C₂×D₄	—	2	1	no	—
621	C₂×D₄	—	2	1	no	—
622	C₂×D₄	—	2	1	no	—
623	C₂×D₄	—	2	1	no	—
624	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
625	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
626	C₂×D₄	C₂×D₄×C₁₉	1	4	yes	—
627	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
628	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
629	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
630	C₂²×C₄	—	2	1	no	—
631	C₂²×C₄	—	2	4	no	—
632	C₂²×C₄	—	2	1	no	—
633	C₂²×C₄	—	2	4	no	—
634	C₂²×C₄	—	2	2	no	—
635	C₂²×C₄	—	2	4	no	—
636	C₂²×C₄	—	2	2	no	—
637	C₂²×C₄	—	2	4	no	—
638	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
639	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
640	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
641	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
642	Q₁₆	—	2	8	no	—
643	Q₁₆	—	4	4	no	—
644	SD₁₆	—	2	4	no	—
645	SD₁₆	—	2	4	no	—
646	SD₁₆	—	4	4	no	—
647	SD₁₆	—	4	4	no	—
648	D₈	—	4	4	no	—
649	M₁₆	—	4	4	no	—
650	C₂×C₈	—	4	4	no	—
651	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
652	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
653	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
654	C₄⋊C₄	—	2	1	no	—
655	C₄⋊C₄	—	2	2	no	—
656	C₄⋊C₄	—	2	2	no	—
657	C₄⋊C₄	—	2	4	no	—
658	C₄⋊C₄	—	2	1	no	—
659	C₄⋊C₄	—	2	4	no	—
660	C₄⋊C₄	—	2	1	no	—
661	C₄⋊C₄	—	2	1	no	—
662	C₄⋊C₄	—	2	1	no	—
663	C₄⋊C₄	—	2	1	no	—
664	C₄⋊C₄	—	2	1	no	—
665	C₄⋊C₄	—	2	4	no	—
666	C₄⋊C₄	—	2	2	no	—
667	C₄⋊C₄	—	2	2	no	—
668	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
669	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
670	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
671	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
672	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
673	C₂²⋊C₄	—	2	2	no	—
674	C₂²⋊C₄	—	2	4	no	—
675	C₂²⋊C₄	—	2	4	no	—
676	C₂²⋊C₄	—	2	2	no	—
677	C₂²⋊C₄	—	2	2	no	—
678	C₂²⋊C₄	—	2	4	no	—
679	C₂²⋊C₄	—	2	4	no	—
680	C₂²⋊C₄	—	2	2	no	—
681	C₂²⋊C₄	—	2	2	no	—
682	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
683	C₂²⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
684	C₄²	—	2	2	no	—
685	C₄²	—	2	2	no	—
686	C₄²	—	2	2	no	—
687	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
688	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
689	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
690	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
691	C₂³	—	2	2	no	—
692	C₂³	—	2	2	no	—
693	C₂³	C₂²×D₄×C₁₉	1	4	yes	—
694	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
695	Q₈	—	2	4	no	—
696	Q₈	—	2	2	no	—
697	Q₈	—	2	4	no	—
698	Q₈	—	2	4	no	—
699	Q₈	—	4	2	no	—
700	Q₈	—	4	8	no	—
701	Q₈	—	4	2	no	—
702	Q₈	—	8	1	no	—
703	Q₈	C₁₉×H(5,𝔽₂)	1	4	yes	—
704	D₄	—	2	4	no	—
705	D₄	—	2	2	no	—
706	D₄	—	2	4	no	—
707	D₄	—	2	2	no	—
708	D₄	—	4	2	no	—
709	D₄	—	4	4	no	—
710	D₄	—	4	2	no	—
711	D₄	—	4	8	no	—
712	D₄	—	4	2	no	—
713	D₄	—	4	4	no	—
714	D₄	—	4	2	no	—
715	D₄	—	8	1	no	—
716	D₄	—	8	1	no	—
717	D₄	—	8	4	no	—
718	D₄	—	8	2	no	—
719	D₄	—	8	4	no	—
720	D₄	—	8	4	no	—
721	C₂×C₄	—	2	4	no	—
722	C₂×C₄	—	2	2	no	—
723	C₂×C₄	—	2	2	no	—
724	C₂×C₄	—	2	4	no	—
725	C₂×C₄	—	2	4	no	—
726	C₂×C₄	—	2	2	no	—
727	C₂×C₄	—	2	2	no	—
728	C₂×C₄	—	2	2	no	—
729	C₂×C₄	—	2	2	no	—
730	C₂×C₄	—	2	2	no	—
731	C₂×C₄	—	2	2	no	—
732	C₂×C₄	—	4	1	no	—
733	C₂×C₄	—	4	8	no	—
734	C₂×C₄	—	4	8	no	—
735	C₂×C₄	—	4	4	no	—
736	C₂×C₄	—	4	4	no	—
737	C₂×C₄	—	8	4	no	—
738	C₂×C₄	—	8	4	no	—
739	C₂×C₄	—	8	1	no	—
740	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
741	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
742	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
743	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
744	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
745	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
746	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
747	C₈	—	2	2	no	—
748	C₈	—	2	4	no	—
749	C₈	—	2	2	no	—
750	C₂²	—	2	1	no	—
751	C₂²	—	2	4	no	—
752	C₂²	—	2	1	no	—
753	C₂²	—	2	4	no	—
754	C₂²	—	2	1	no	—
755	C₂²	—	2	4	no	—
756	C₂²	—	4	2	no	—
757	C₂²	—	4	2	no	—
758	C₂²	—	4	2	no	—
759	C₂²	—	4	2	no	—
760	C₂²	—	4	2	no	—
761	C₂²	—	4	2	no	—
762	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
763	C₄	—	2	4	no	—
764	C₄	—	2	1	no	—
765	C₄	—	2	4	no	—
766	C₄	—	2	1	no	—
767	C₄	—	2	1	no	—
768	C₄	—	2	1	no	—
769	C₄	—	4	2	no	—
770	C₄	—	4	2	no	—
771	C₄	—	4	2	no	—
772	C₄	—	4	2	no	—
773	C₄	—	4	2	no	—
774	C₄	C₁₉×#577	1	2	yes	—
775	C₄	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
776	C₂	—	4	1	no	—
777	C₂	—	4	4	no	—
778	C₂	—	8	2	no	—
779	C₂	—	8	2	no	—
780	C₂	C₁₉×#3484	1	1	yes	characteristic
781	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
782	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×#3497	C₂	semidirect
3. C₁₉×#3332	C₂	semidirect
4. C₁₉×#3316	C₂	semidirect
5. C₁₉×#3298	C₂	semidirect
6. C₁₉×#3284	C₂	semidirect
7. C₁₉×#3276	C₂	semidirect
8. C₁₉×#3271	C₂	semidirect
9. C₁₉×#3214	C₂	semidirect
10. C₁₉×#3210	C₂	semidirect
11. C₁₉×#3204	C₂	semidirect
12. C₁₉×#3113	C₂	semidirect
13. C₁₉×#3103	C₂	semidirect
14. C₁₉×#3013	C₂	semidirect
15. C₁₉×#2981	C₂	semidirect
299. #61686	C₁₉	direct (N × H)
359. #3548	C₂×C₁₉	semidirect
360. #3497	C₂×C₁₉	semidirect
361. #3332	C₂×C₁₉	semidirect
362. #3316	C₂×C₁₉	semidirect
363. #3298	C₂×C₁₉	semidirect
364. #3284	C₂×C₁₉	semidirect
365. #3276	C₂×C₁₉	semidirect
366. #3271	C₂×C₁₉	semidirect
367. #3214	C₂×C₁₉	semidirect
368. #3210	C₂×C₁₉	semidirect
369. #3204	C₂×C₁₉	semidirect
370. #3113	C₂×C₁₉	semidirect
371. #3103	C₂×C₁₉	semidirect
372. #3013	C₂×C₁₉	semidirect
373. #2981	C₂×C₁₉	semidirect
591. C₁₉	#61686	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×#3497	2
C₁₉×#3332	2
C₁₉×#3316	2
C₁₉×#3298	2
C₁₉×#3284	2
C₁₉×#3276	2
C₁₉×#3271	2
C₁₉×#3214	2
C₁₉×#3210	2
C₁₉×#3204	2
C₁₉×#3113	2
C₁₉×#3103	2
C₁₉×#3013	2
C₁₉×#2981	2
#61686	19

Subgroups — C19×#61686 #18067645

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#61686 #18067645