Subgroups — C₁₉×#62275 #18068234

Order 4864.

1820 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3540	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3342	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3341	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3321	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3311	C₂	1	4	yes	maximal, complemented
6	C₁₉×#3285	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3280	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3263	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3200	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3197	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3175	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3059	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3058	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3050	C₂	1	2	yes	maximal, complemented
15	C₁₉×#2929	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×#135	C₂²	1	2	yes	—
17	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
18	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
19	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
20	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₁₉×H(3,𝔽₄)	—	2	2	no	—
22	C₁₉×#560	—	2	2	no	—
23	C₁₉×#559	—	2	2	no	—
24	C₁₉×#556	C₂²	1	4	yes	—
25	C₁₉×#555	C₂²	1	4	yes	complemented
26	C₁₉×#551	—	2	2	no	—
27	C₁₉×#548	C₂²	1	4	yes	complemented
28	C₁₉×#546	C₂²	1	4	yes	—
29	C₁₉×#542	—	2	4	no	—
30	C₁₉×#542	C₂²	1	4	yes	complemented
31	C₁₉×#538	—	2	4	no	—
32	C₁₉×#536	C₂²	1	2	yes	—
33	C₁₉×#535	C₂²	1	2	yes	—
34	C₁₉×#525	C₂²	1	1	yes	characteristic
35	C₁₉×#525	C₂²	1	4	yes	complemented
36	C₁₉×#500	C₂²	1	2	yes	complemented
37	C₁₉×#495	C₂²	1	2	yes	complemented
38	C₁₉×#489	C₂²	1	4	yes	complemented
39	C₁₉×#485	C₂²	1	4	yes	complemented
40	C₁₉×#485	C₂²	1	4	yes	complemented
41	C₁₉×#482	C₂²	1	4	yes	complemented
42	C₁₉×#482	C₂²	1	4	yes	complemented
43	C₁₉×#476	C₂²	1	4	yes	complemented
44	C₁₉×#475	C₂²	1	4	yes	complemented
45	C₁₉×#470	C₂²	1	2	yes	complemented
46	C₁₉×#470	C₂²	1	2	yes	complemented
47	C₁₉×#469	C₂²	1	2	yes	—
48	C₁₉×#469	C₂²	1	2	yes	complemented
49	C₁₉×#468	C₂²	1	4	yes	complemented
50	C₁₉×#467	C₂²	1	2	yes	complemented
51	C₁₉×#467	C₂²	1	2	yes	complemented
52	C₁₉×#467	C₂²	1	2	yes	complemented
53	C₁₉×#466	C₂²	1	2	yes	—
54	C₁₉×#466	C₂²	1	2	yes	—
55	C₁₉×#466	C₂²	1	2	yes	complemented
56	C₁₉×#465	C₂²	1	4	yes	complemented
57	C₁₉×#465	C₂²	1	4	yes	complemented
58	C₁₉×#464	C₂²	1	4	yes	complemented
59	C₁₉×#463	C₂²	1	4	yes	complemented
60	C₁₉×#452	C₂²	1	4	yes	complemented
61	C₁₉×#450	C₂²	1	4	yes	complemented
62	C₁₉×#449	C₂²	1	4	yes	—
63	C₁₉×#448	C₂²	1	4	yes	complemented
64	C₁₉×#440	C₂²	1	4	yes	complemented
65	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	complemented
66	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
67	C₁₉×#435	C₂²	1	2	yes	—
68	C₁₉×#435	C₂²	1	2	yes	complemented
69	C₈×D₄×C₁₉	C₂²	1	2	yes	—
70	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
71	C₁₉×#427	C₂²	1	2	yes	complemented
72	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
73	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
74	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
75	C₁₉×#419	C₂²	1	2	yes	complemented
76	C₁₉×#418	C₂²	1	2	yes	complemented
77	C₁₉×#416	C₂²	1	4	yes	complemented
78	C₁₉×#408	C₂²	1	1	yes	characteristic
79	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
80	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
81	C₂×#41×C₁₉	C₂³	1	4	yes	—
82	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
83	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
84	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
85	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
86	C₁₉×#135	—	4	4	no	—
87	C₂×Q₁₆×C₁₉	—	4	2	no	—
88	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
89	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
90	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
91	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	—
92	C₂×D₈×C₁₉	—	4	2	no	—
93	C₂×D₈×C₁₉	C₂³	1	2	yes	—
94	C₂×D₈×C₁₉	C₂³	1	2	yes	—
95	C₁₉×#131	—	4	2	no	—
96	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
97	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
98	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
99	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
100	C₂²×C₈×C₁₉	—	4	2	no	—
101	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
102	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
103	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
104	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
105	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
106	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
107	C₁₉×C₄⋊Q₈	—	2	2	no	—
108	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
109	C₁₉×#127	—	2	2	no	—
110	C₁₉×#126	—	2	4	no	—
111	C₁₉×#126	—	2	4	no	—
112	C₁₉×#126	—	2	4	no	—
113	C₁₉×#124	—	2	2	no	—
114	C₁₉×#124	—	2	2	no	—
115	C₁₉×#124	—	2	4	no	—
116	C₁₉×#124	—	2	4	no	—
117	C₁₉×#124	—	2	4	no	—
118	C₁₉×#124	—	2	4	no	—
119	C₁₉×#124	—	2	4	no	—
120	C₁₉×#124	C₂³	1	4	yes	—
121	C₁₉×#123	—	2	2	no	—
122	C₁₉×#123	—	2	2	no	—
123	C₁₉×#123	—	2	4	no	—
124	C₁₉×#123	—	2	4	no	—
125	C₁₉×#123	—	2	4	no	—
126	C₁₉×#123	D₄	1	1	yes	characteristic
127	C₁₉×#123	D₄	1	1	yes	characteristic
128	C₁₉×C₂²⋊Q₈	—	2	4	no	—
129	C₁₉×C₂²⋊Q₈	—	2	4	no	—
130	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
131	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
132	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
133	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
134	C₁₉×#121	—	2	4	no	—
135	C₁₉×#121	—	2	4	no	—
136	C₁₉×#121	—	2	4	no	—
137	C₁₉×#121	D₄	1	2	yes	—
138	C₁₉×#121	C₂³	1	4	yes	—
139	C₁₉×#121	C₂³	1	4	yes	—
140	C₁₉×#121	C₂³	1	4	yes	—
141	C₁₉×#120	—	2	4	no	—
142	C₁₉×#120	—	2	2	no	—
143	C₁₉×#120	—	2	2	no	—
144	C₁₉×#120	—	2	4	no	—
145	C₁₉×#120	D₄	1	1	yes	characteristic
146	C₁₉×#120	D₄	1	1	yes	characteristic
147	C₄×Q₈×C₁₉	—	2	4	no	—
148	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
149	C₄×D₄×C₁₉	—	2	4	no	—
150	C₄×D₄×C₁₉	—	2	4	no	—
151	C₄×D₄×C₁₉	—	2	4	no	—
152	C₄×D₄×C₁₉	C₂³	1	4	yes	—
153	C₄×D₄×C₁₉	C₂³	1	2	yes	—
154	C₄×D₄×C₁₉	C₂³	1	2	yes	—
155	C₁₉×#117	—	2	4	no	—
156	C₁₉×#117	C₂³	1	4	yes	—
157	C₁₉×#117	C₂³	1	2	yes	—
158	C₁₉×#117	C₂³	1	2	yes	—
159	C₁₉×#117	C₂³	1	1	yes	characteristic
160	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
161	C₁₉×#107	C₂³	1	2	yes	—
162	C₁₉×#107	C₂³	1	2	yes	—
163	C₁₉×#107	C₂³	1	4	yes	—
164	C₁₉×#106	C₂³	1	4	yes	—
165	C₁₉×#106	C₂³	1	2	yes	—
166	C₁₉×#106	C₂³	1	2	yes	—
167	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
168	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
169	C₁₉×#103	C₂³	1	4	yes	—
170	C₁₉×#103	C₂³	1	4	yes	—
171	C₁₉×#103	C₂³	1	4	yes	—
172	C₁₉×#103	C₂³	1	4	yes	—
173	C₁₉×#102	C₂³	1	4	yes	—
174	C₁₉×#102	C₂³	1	4	yes	—
175	C₁₉×#102	C₂³	1	4	yes	—
176	C₁₉×#102	C₂³	1	4	yes	—
177	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
178	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
179	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
180	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
181	C₁₉×#97	C₂³	1	2	yes	—
182	C₄×C₈×C₁₉	C₂³	1	2	yes	—
183	C₂⁴×C₁₉	—	2	2	no	—
184	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
185	#41×C₁₉	—	4	1	no	—
186	#41×C₁₉	—	4	1	no	—
187	#41×C₁₉	—	4	4	no	—
188	#41×C₁₉	—	4	4	no	—
189	C₂×Q₈×C₁₉	—	2	4	no	—
190	C₂×Q₈×C₁₉	—	2	2	no	—
191	C₂×Q₈×C₁₉	—	4	2	no	—
192	C₂×Q₈×C₁₉	—	4	2	no	—
193	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
194	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
195	C₂×D₄×C₁₉	—	2	4	no	—
196	C₂×D₄×C₁₉	—	2	4	no	—
197	C₂×D₄×C₁₉	—	2	4	no	—
198	C₂×D₄×C₁₉	—	2	4	no	—
199	C₂×D₄×C₁₉	—	2	2	no	—
200	C₂×D₄×C₁₉	—	4	2	no	—
201	C₂×D₄×C₁₉	—	4	2	no	—
202	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
203	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
204	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
205	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
206	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
207	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
208	C₂²×C₄×C₁₉	—	2	2	no	—
209	C₂²×C₄×C₁₉	—	2	4	no	—
210	C₂²×C₄×C₁₉	—	2	4	no	—
211	C₂²×C₄×C₁₉	—	4	1	no	—
212	C₂²×C₄×C₁₉	—	4	1	no	—
213	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
214	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
215	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
216	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
217	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
218	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
219	Q₁₆×C₁₉	—	2	4	no	—
220	Q₁₆×C₁₉	—	4	2	no	—
221	SD₁₆×C₁₉	—	4	4	no	—
222	SD₁₆×C₁₉	—	4	4	no	—
223	D₈×C₁₉	—	2	4	no	—
224	D₈×C₁₉	—	4	2	no	—
225	M₁₆×C₁₉	—	4	1	no	—
226	M₁₆×C₁₉	—	4	1	no	—
227	M₁₆×C₁₉	—	4	1	no	—
228	M₁₆×C₁₉	—	4	1	no	—
229	C₂×C₈×C₁₉	—	2	2	no	—
230	C₂×C₈×C₁₉	—	2	4	no	—
231	C₂×C₈×C₁₉	—	2	2	no	—
232	C₂×C₈×C₁₉	—	2	2	no	—
233	C₂×C₈×C₁₉	—	4	2	no	—
234	C₂×C₈×C₁₉	—	4	1	no	—
235	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
236	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
237	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
238	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
239	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
240	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
241	C₄⋊C₄×C₁₉	—	2	4	no	—
242	C₄⋊C₄×C₁₉	—	2	4	no	—
243	C₄⋊C₄×C₁₉	—	2	4	no	—
244	C₄⋊C₄×C₁₉	—	2	4	no	—
245	C₄⋊C₄×C₁₉	—	2	4	no	—
246	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
247	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
248	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
249	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
250	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
251	C₂²⋊C₄×C₁₉	—	2	4	no	—
252	C₂²⋊C₄×C₁₉	—	2	2	no	—
253	C₂²⋊C₄×C₁₉	—	2	4	no	—
254	C₂²⋊C₄×C₁₉	—	2	2	no	—
255	C₂²⋊C₄×C₁₉	—	2	4	no	—
256	C₂²⋊C₄×C₁₉	—	2	4	no	—
257	C₂²⋊C₄×C₁₉	—	2	4	no	—
258	C₂²⋊C₄×C₁₉	—	2	4	no	—
259	C₂²⋊C₄×C₁₉	—	2	4	no	—
260	C₂²⋊C₄×C₁₉	—	2	4	no	—
261	C₂²⋊C₄×C₁₉	—	2	4	no	—
262	C₂²⋊C₄×C₁₉	—	2	4	no	—
263	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
264	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
265	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
266	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
267	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
268	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
269	C₄²×C₁₉	—	2	2	no	—
270	C₄²×C₁₉	—	2	4	no	—
271	C₄²×C₁₉	—	2	2	no	—
272	C₄²×C₁₉	—	2	4	no	—
273	C₄²×C₁₉	C₂⁴	1	2	yes	—
274	#62275	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
275	C₂³×C₁₉	—	2	4	no	—
276	C₂³×C₁₉	—	4	1	no	—
277	C₂³×C₁₉	—	4	2	no	—
278	C₂³×C₁₉	—	8	2	no	—
279	C₂³×C₁₉	—	8	4	no	—
280	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
281	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
282	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
283	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
284	Q₈×C₁₉	—	2	4	no	—
285	Q₈×C₁₉	—	2	4	no	—
286	Q₈×C₁₉	—	4	1	no	—
287	Q₈×C₁₉	—	8	4	no	—
288	Q₈×C₁₉	—	8	2	no	—
289	D₄×C₁₉	—	2	4	no	—
290	D₄×C₁₉	—	2	4	no	—
291	D₄×C₁₉	—	4	2	no	—
292	D₄×C₁₉	—	4	2	no	—
293	D₄×C₁₉	—	4	1	no	—
294	D₄×C₁₉	—	4	1	no	—
295	D₄×C₁₉	—	4	1	no	—
296	D₄×C₁₉	—	8	2	no	—
297	D₄×C₁₉	—	8	4	no	—
298	D₄×C₁₉	—	8	4	no	—
299	D₄×C₁₉	—	8	4	no	—
300	D₄×C₁₉	—	8	4	no	—
301	C₂×C₄×C₁₉	—	2	1	no	—
302	C₂×C₄×C₁₉	—	2	2	no	—
303	C₂×C₄×C₁₉	—	2	1	no	—
304	C₂×C₄×C₁₉	—	2	1	no	—
305	C₂×C₄×C₁₉	—	2	1	no	—
306	C₂×C₄×C₁₉	—	2	2	no	—
307	C₂×C₄×C₁₉	—	2	1	no	—
308	C₂×C₄×C₁₉	—	2	1	no	—
309	C₂×C₄×C₁₉	—	2	4	no	—
310	C₂×C₄×C₁₉	—	2	4	no	—
311	C₂×C₄×C₁₉	—	2	4	no	—
312	C₂×C₄×C₁₉	—	4	1	no	—
313	C₂×C₄×C₁₉	—	4	2	no	—
314	C₂×C₄×C₁₉	—	8	4	no	—
315	C₂×C₄×C₁₉	—	8	4	no	—
316	C₂×C₄×C₁₉	—	8	2	no	—
317	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
318	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
319	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
320	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
321	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
322	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
323	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
324	C₈×C₁₉	—	2	1	no	—
325	C₈×C₁₉	—	2	2	no	—
326	C₈×C₁₉	—	2	1	no	—
327	C₈×C₁₉	—	2	1	no	—
328	C₈×C₁₉	—	2	2	no	—
329	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
330	#3540	C₂×C₁₉	1	2	yes	complemented
331	#3342	C₂×C₁₉	1	2	yes	complemented
332	#3341	C₂×C₁₉	1	2	yes	complemented
333	#3321	C₂×C₁₉	1	4	yes	complemented
334	#3311	C₂×C₁₉	1	4	yes	complemented
335	#3285	C₂×C₁₉	1	2	yes	complemented
336	#3280	C₂×C₁₉	1	2	yes	complemented
337	#3263	C₂×C₁₉	1	2	yes	complemented
338	#3200	C₂×C₁₉	1	2	yes	complemented
339	#3197	C₂×C₁₉	1	2	yes	complemented
340	#3175	C₂×C₁₉	1	2	yes	complemented
341	#3059	C₂×C₁₉	1	1	yes	characteristic, complemented
342	#3058	C₂×C₁₉	1	1	yes	characteristic, complemented
343	#3050	C₂×C₁₉	1	2	yes	complemented
344	#2929	C₂×C₁₉	1	1	yes	characteristic, complemented
345	C₂²×C₁₉	—	2	2	no	—
346	C₂²×C₁₉	—	2	2	no	—
347	C₂²×C₁₉	—	2	2	no	—
348	C₂²×C₁₉	—	2	2	no	—
349	C₂²×C₁₉	—	2	2	no	—
350	C₂²×C₁₉	—	2	1	no	—
351	C₂²×C₁₉	—	2	2	no	—
352	C₂²×C₁₉	—	2	1	no	—
353	C₂²×C₁₉	—	2	1	no	—
354	C₂²×C₁₉	—	4	4	no	—
355	C₂²×C₁₉	—	4	4	no	—
356	C₂²×C₁₉	—	4	4	no	—
357	C₂²×C₁₉	—	4	4	no	—
358	C₂²×C₁₉	—	16	4	no	—
359	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
360	C₄×C₁₉	—	2	2	no	—
361	C₄×C₁₉	—	2	2	no	—
362	C₄×C₁₉	—	2	2	no	—
363	C₄×C₁₉	—	2	1	no	—
364	C₄×C₁₉	—	2	1	no	—
365	C₄×C₁₉	—	2	1	no	—
366	C₄×C₁₉	—	4	4	no	—
367	C₄×C₁₉	—	4	4	no	—
368	C₄×C₁₉	—	4	4	no	—
369	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
370	C₄×C₁₉	#585	1	1	yes	characteristic
371	C₂×#135	C₂²×C₁₉	1	2	yes	—
372	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
373	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
374	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
375	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
376	H(3,𝔽₄)	—	2	2	no	—
377	#560	—	2	2	no	—
378	#559	—	2	2	no	—
379	#556	C₂²×C₁₉	1	4	yes	—
380	#555	C₂²×C₁₉	1	4	yes	complemented
381	#551	—	2	2	no	—
382	#548	C₂²×C₁₉	1	4	yes	complemented
383	#546	C₂²×C₁₉	1	4	yes	—
384	#542	—	2	4	no	—
385	#542	C₂²×C₁₉	1	4	yes	complemented
386	#538	—	2	4	no	—
387	#536	C₂²×C₁₉	1	2	yes	—
388	#535	C₂²×C₁₉	1	2	yes	—
389	#525	C₂²×C₁₉	1	1	yes	characteristic
390	#525	C₂²×C₁₉	1	4	yes	complemented
391	#500	C₂²×C₁₉	1	2	yes	complemented
392	#495	C₂²×C₁₉	1	2	yes	complemented
393	#489	C₂²×C₁₉	1	4	yes	complemented
394	#485	C₂²×C₁₉	1	4	yes	complemented
395	#485	C₂²×C₁₉	1	4	yes	complemented
396	#482	C₂²×C₁₉	1	4	yes	complemented
397	#482	C₂²×C₁₉	1	4	yes	complemented
398	#476	C₂²×C₁₉	1	4	yes	complemented
399	#475	C₂²×C₁₉	1	4	yes	complemented
400	#470	C₂²×C₁₉	1	2	yes	complemented
401	#470	C₂²×C₁₉	1	2	yes	complemented
402	#469	C₂²×C₁₉	1	2	yes	—
403	#469	C₂²×C₁₉	1	2	yes	complemented
404	#468	C₂²×C₁₉	1	4	yes	complemented
405	#467	C₂²×C₁₉	1	2	yes	complemented
406	#467	C₂²×C₁₉	1	2	yes	complemented
407	#467	C₂²×C₁₉	1	2	yes	complemented
408	#466	C₂²×C₁₉	1	2	yes	—
409	#466	C₂²×C₁₉	1	2	yes	—
410	#466	C₂²×C₁₉	1	2	yes	complemented
411	#465	C₂²×C₁₉	1	4	yes	complemented
412	#465	C₂²×C₁₉	1	4	yes	complemented
413	#464	C₂²×C₁₉	1	4	yes	complemented
414	#463	C₂²×C₁₉	1	4	yes	complemented
415	#452	C₂²×C₁₉	1	4	yes	complemented
416	#450	C₂²×C₁₉	1	4	yes	complemented
417	#449	C₂²×C₁₉	1	4	yes	—
418	#448	C₂²×C₁₉	1	4	yes	complemented
419	#440	C₂²×C₁₉	1	4	yes	complemented
420	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	complemented
421	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
422	#435	C₂²×C₁₉	1	2	yes	—
423	#435	C₂²×C₁₉	1	2	yes	complemented
424	C₈×D₄	C₂²×C₁₉	1	2	yes	—
425	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
426	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
427	#427	C₂²×C₁₉	1	2	yes	complemented
428	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
429	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
430	#419	C₂²×C₁₉	1	2	yes	complemented
431	#418	C₂²×C₁₉	1	2	yes	complemented
432	#416	C₂²×C₁₉	1	4	yes	complemented
433	#408	C₂²×C₁₉	1	1	yes	characteristic
434	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
435	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
436	C₂×C₁₉	—	4	1	no	—
437	C₂×C₁₉	—	4	2	no	—
438	C₂×C₁₉	—	4	1	no	—
439	C₂×C₁₉	—	4	1	no	—
440	C₂×C₁₉	—	8	4	no	—
441	C₂×C₁₉	#3496	1	1	yes	characteristic
442	C₂×C₁₉	#3584	1	2	yes	—
443	C₂×#41	C₂³×C₁₉	1	4	yes	—
444	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
445	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
446	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
447	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
448	#135	—	4	4	no	—
449	C₂×Q₁₆	—	4	2	no	—
450	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
451	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
452	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
453	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	—
454	C₂×D₈	—	4	2	no	—
455	C₂×D₈	C₂³×C₁₉	1	2	yes	—
456	C₂×D₈	C₂³×C₁₉	1	2	yes	—
457	#131	—	4	2	no	—
458	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
459	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
460	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
461	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
462	C₂²×C₈	—	4	2	no	—
463	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
464	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
465	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
466	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
467	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
468	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
469	C₄⋊Q₈	—	2	2	no	—
470	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
471	#127	—	2	2	no	—
472	#126	—	2	4	no	—
473	#126	—	2	4	no	—
474	#126	—	2	4	no	—
475	#124	—	2	2	no	—
476	#124	—	2	2	no	—
477	#124	—	2	4	no	—
478	#124	—	2	4	no	—
479	#124	—	2	4	no	—
480	#124	—	2	4	no	—
481	#124	—	2	4	no	—
482	#124	C₂³×C₁₉	1	4	yes	—
483	#123	—	2	2	no	—
484	#123	—	2	2	no	—
485	#123	—	2	4	no	—
486	#123	—	2	4	no	—
487	#123	—	2	4	no	—
488	#123	D₄×C₁₉	1	1	yes	characteristic
489	#123	D₄×C₁₉	1	1	yes	characteristic
490	C₂²⋊Q₈	—	2	4	no	—
491	C₂²⋊Q₈	—	2	4	no	—
492	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
493	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
494	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
495	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
496	#121	—	2	4	no	—
497	#121	—	2	4	no	—
498	#121	—	2	4	no	—
499	#121	D₄×C₁₉	1	2	yes	—
500	#121	C₂³×C₁₉	1	4	yes	—
501	#121	C₂³×C₁₉	1	4	yes	—
502	#121	C₂³×C₁₉	1	4	yes	—
503	#120	—	2	4	no	—
504	#120	—	2	2	no	—
505	#120	—	2	2	no	—
506	#120	—	2	4	no	—
507	#120	D₄×C₁₉	1	1	yes	characteristic
508	#120	D₄×C₁₉	1	1	yes	characteristic
509	C₄×Q₈	—	2	4	no	—
510	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
511	C₄×D₄	—	2	4	no	—
512	C₄×D₄	—	2	4	no	—
513	C₄×D₄	—	2	4	no	—
514	C₄×D₄	C₂³×C₁₉	1	4	yes	—
515	C₄×D₄	C₂³×C₁₉	1	2	yes	—
516	C₄×D₄	C₂³×C₁₉	1	2	yes	—
517	#117	—	2	4	no	—
518	#117	C₂³×C₁₉	1	4	yes	—
519	#117	C₂³×C₁₉	1	2	yes	—
520	#117	C₂³×C₁₉	1	2	yes	—
521	#117	C₂³×C₁₉	1	1	yes	characteristic
522	C₂×C₂²⋊C₄	—	2	4	no	—
523	#107	C₂³×C₁₉	1	2	yes	—
524	#107	C₂³×C₁₉	1	2	yes	—
525	#107	C₂³×C₁₉	1	4	yes	—
526	#106	C₂³×C₁₉	1	4	yes	—
527	#106	C₂³×C₁₉	1	2	yes	—
528	#106	C₂³×C₁₉	1	2	yes	—
529	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
530	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
531	#103	C₂³×C₁₉	1	4	yes	—
532	#103	C₂³×C₁₉	1	4	yes	—
533	#103	C₂³×C₁₉	1	4	yes	—
534	#103	C₂³×C₁₉	1	4	yes	—
535	#102	C₂³×C₁₉	1	4	yes	—
536	#102	C₂³×C₁₉	1	4	yes	—
537	#102	C₂³×C₁₉	1	4	yes	—
538	#102	C₂³×C₁₉	1	4	yes	—
539	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
540	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
541	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
542	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
543	#97	C₂³×C₁₉	1	2	yes	—
544	C₄×C₈	C₂³×C₁₉	1	2	yes	—
545	C₁₉	#62275	1	1	yes	characteristic, direct product factor, Sylow
546	C₂⁴	—	2	2	no	—
547	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
548	#41	—	4	1	no	—
549	#41	—	4	1	no	—
550	#41	—	4	4	no	—
551	#41	—	4	4	no	—
552	C₂×Q₈	—	2	4	no	—
553	C₂×Q₈	—	2	2	no	—
554	C₂×Q₈	—	4	2	no	—
555	C₂×Q₈	—	4	2	no	—
556	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
557	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
558	C₂×D₄	—	2	4	no	—
559	C₂×D₄	—	2	4	no	—
560	C₂×D₄	—	2	4	no	—
561	C₂×D₄	—	2	4	no	—
562	C₂×D₄	—	2	2	no	—
563	C₂×D₄	—	4	2	no	—
564	C₂×D₄	—	4	2	no	—
565	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
566	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
567	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
568	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
569	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
570	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
571	C₂²×C₄	—	2	2	no	—
572	C₂²×C₄	—	2	4	no	—
573	C₂²×C₄	—	2	4	no	—
574	C₂²×C₄	—	4	1	no	—
575	C₂²×C₄	—	4	1	no	—
576	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
577	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
578	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
579	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
580	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
581	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
582	Q₁₆	—	2	4	no	—
583	Q₁₆	—	4	2	no	—
584	SD₁₆	—	4	4	no	—
585	SD₁₆	—	4	4	no	—
586	D₈	—	2	4	no	—
587	D₈	—	4	2	no	—
588	M₁₆	—	4	1	no	—
589	M₁₆	—	4	1	no	—
590	M₁₆	—	4	1	no	—
591	M₁₆	—	4	1	no	—
592	C₂×C₈	—	2	2	no	—
593	C₂×C₈	—	2	4	no	—
594	C₂×C₈	—	2	2	no	—
595	C₂×C₈	—	2	2	no	—
596	C₂×C₈	—	4	2	no	—
597	C₂×C₈	—	4	1	no	—
598	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
599	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
600	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
601	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
602	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
603	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
604	C₄⋊C₄	—	2	4	no	—
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	4	no	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	—	2	4	no	—
609	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
610	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
611	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
612	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
613	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
614	C₂²⋊C₄	—	2	4	no	—
615	C₂²⋊C₄	—	2	2	no	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	2	no	—
618	C₂²⋊C₄	—	2	4	no	—
619	C₂²⋊C₄	—	2	4	no	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₂²⋊C₄	—	2	4	no	—
622	C₂²⋊C₄	—	2	4	no	—
623	C₂²⋊C₄	—	2	4	no	—
624	C₂²⋊C₄	—	2	4	no	—
625	C₂²⋊C₄	—	2	4	no	—
626	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
627	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
628	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
629	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
630	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
631	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
632	C₄²	—	2	2	no	—
633	C₄²	—	2	4	no	—
634	C₄²	—	2	2	no	—
635	C₄²	—	2	4	no	—
636	C₄²	C₂⁴×C₁₉	1	2	yes	—
637	C₂³	—	2	4	no	—
638	C₂³	—	4	1	no	—
639	C₂³	—	4	2	no	—
640	C₂³	—	8	2	no	—
641	C₂³	—	8	4	no	—
642	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
643	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
644	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
645	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
646	Q₈	—	2	4	no	—
647	Q₈	—	2	4	no	—
648	Q₈	—	4	1	no	—
649	Q₈	—	8	2	no	—
650	Q₈	—	8	4	no	—
651	D₄	—	2	4	no	—
652	D₄	—	2	4	no	—
653	D₄	—	4	1	no	—
654	D₄	—	4	1	no	—
655	D₄	—	4	1	no	—
656	D₄	—	4	2	no	—
657	D₄	—	4	2	no	—
658	D₄	—	8	2	no	—
659	D₄	—	8	4	no	—
660	D₄	—	8	4	no	—
661	D₄	—	8	4	no	—
662	D₄	—	8	4	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	2	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	4	no	—
672	C₂×C₄	—	2	4	no	—
673	C₂×C₄	—	2	4	no	—
674	C₂×C₄	—	4	1	no	—
675	C₂×C₄	—	4	2	no	—
676	C₂×C₄	—	8	4	no	—
677	C₂×C₄	—	8	4	no	—
678	C₂×C₄	—	8	2	no	—
679	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
680	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
681	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
682	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
683	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
684	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
685	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
686	C₈	—	2	1	no	—
687	C₈	—	2	2	no	—
688	C₈	—	2	1	no	—
689	C₈	—	2	1	no	—
690	C₈	—	2	2	no	—
691	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
692	C₂²	—	2	1	no	—
693	C₂²	—	2	2	no	—
694	C₂²	—	2	1	no	—
695	C₂²	—	2	1	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	2	no	—
699	C₂²	—	2	2	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	4	4	no	—
702	C₂²	—	4	4	no	—
703	C₂²	—	4	4	no	—
704	C₂²	—	4	4	no	—
705	C₂²	—	16	4	no	—
706	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
707	C₄	—	2	2	no	—
708	C₄	—	2	1	no	—
709	C₄	—	2	1	no	—
710	C₄	—	2	1	no	—
711	C₄	—	2	2	no	—
712	C₄	—	2	2	no	—
713	C₄	—	4	4	no	—
714	C₄	—	4	4	no	—
715	C₄	—	4	4	no	—
716	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
717	C₄	C₁₉×#585	1	1	yes	characteristic
718	C₂	—	4	1	no	—
719	C₂	—	4	2	no	—
720	C₂	—	4	1	no	—
721	C₂	—	4	1	no	—
722	C₂	—	8	4	no	—
723	C₂	C₁₉×#3496	1	1	yes	characteristic
724	C₂	C₁₉×#3584	1	2	yes	—

	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3540	C₂	semidirect
2. C₁₉×#3342	C₂	semidirect
3. C₁₉×#3341	C₂	semidirect
4. C₁₉×#3321	C₂	semidirect
5. C₁₉×#3311	C₂	semidirect
6. C₁₉×#3285	C₂	semidirect
7. C₁₉×#3280	C₂	semidirect
8. C₁₉×#3263	C₂	semidirect
9. C₁₉×#3200	C₂	semidirect
10. C₁₉×#3197	C₂	semidirect
11. C₁₉×#3175	C₂	semidirect
12. C₁₉×#3059	C₂	semidirect
13. C₁₉×#3058	C₂	semidirect
14. C₁₉×#3050	C₂	semidirect
15. C₁₉×#2929	C₂	semidirect
17. C₂²×Q₁₆×C₁₉	C₂²	semidirect
18. C₂²×D₈×C₁₉	C₂²	semidirect
20. C₂³×C₈×C₁₉	C₂²	semidirect
25. C₁₉×#555	C₂²	semidirect
27. C₁₉×#548	C₂²	semidirect
30. C₁₉×#542	C₂²	semidirect
35. C₁₉×#525	C₂²	semidirect
36. C₁₉×#500	C₂²	semidirect
37. C₁₉×#495	C₂²	semidirect
38. C₁₉×#489	C₂²	semidirect
39. C₁₉×#485	C₂²	semidirect
40. C₁₉×#485	C₂²	semidirect
41. C₁₉×#482	C₂²	semidirect
42. C₁₉×#482	C₂²	semidirect
43. C₁₉×#476	C₂²	semidirect
44. C₁₉×#475	C₂²	semidirect
45. C₁₉×#470	C₂²	semidirect
46. C₁₉×#470	C₂²	semidirect
48. C₁₉×#469	C₂²	semidirect
49. C₁₉×#468	C₂²	semidirect
50. C₁₉×#467	C₂²	semidirect
51. C₁₉×#467	C₂²	semidirect
52. C₁₉×#467	C₂²	semidirect
55. C₁₉×#466	C₂²	semidirect
56. C₁₉×#465	C₂²	semidirect
57. C₁₉×#465	C₂²	semidirect
58. C₁₉×#464	C₂²	semidirect
59. C₁₉×#463	C₂²	semidirect
60. C₁₉×#452	C₂²	semidirect
61. C₁₉×#450	C₂²	semidirect
63. C₁₉×#448	C₂²	semidirect
64. C₁₉×#440	C₂²	semidirect
65. C₄×Q₁₆×C₁₉	C₂²	semidirect
66. C₄×D₈×C₁₉	C₂²	semidirect
68. C₁₉×#435	C₂²	semidirect
70. C₈×D₄×C₁₉	C₂²	semidirect
71. C₁₉×#427	C₂²	semidirect
72. C₁₉×#427	C₂²	semidirect
73. C₁₉×#427	C₂²	semidirect
74. C₁₉×#424	C₂²	semidirect
75. C₁₉×#419	C₂²	semidirect
76. C₁₉×#418	C₂²	semidirect
77. C₁₉×#416	C₂²	semidirect
79. C₁₉×#407	C₂²	semidirect
80. C₁₉×#405	C₂²	semidirect
274. #62275	C₁₉	direct (N × H)
330. #3540	C₂×C₁₉	semidirect
331. #3342	C₂×C₁₉	semidirect
332. #3341	C₂×C₁₉	semidirect
333. #3321	C₂×C₁₉	semidirect
334. #3311	C₂×C₁₉	semidirect
335. #3285	C₂×C₁₉	semidirect
336. #3280	C₂×C₁₉	semidirect
337. #3263	C₂×C₁₉	semidirect
338. #3200	C₂×C₁₉	semidirect
339. #3197	C₂×C₁₉	semidirect
340. #3175	C₂×C₁₉	semidirect
341. #3059	C₂×C₁₉	semidirect
342. #3058	C₂×C₁₉	semidirect
343. #3050	C₂×C₁₉	semidirect
344. #2929	C₂×C₁₉	semidirect
372. C₂²×Q₁₆	C₂²×C₁₉	semidirect
373. C₂²×D₈	C₂²×C₁₉	semidirect
375. C₂³×C₈	C₂²×C₁₉	semidirect
380. #555	C₂²×C₁₉	semidirect
382. #548	C₂²×C₁₉	semidirect
385. #542	C₂²×C₁₉	semidirect
390. #525	C₂²×C₁₉	semidirect
391. #500	C₂²×C₁₉	semidirect
392. #495	C₂²×C₁₉	semidirect
393. #489	C₂²×C₁₉	semidirect
394. #485	C₂²×C₁₉	semidirect
395. #485	C₂²×C₁₉	semidirect
396. #482	C₂²×C₁₉	semidirect
397. #482	C₂²×C₁₉	semidirect
398. #476	C₂²×C₁₉	semidirect
399. #475	C₂²×C₁₉	semidirect
400. #470	C₂²×C₁₉	semidirect
401. #470	C₂²×C₁₉	semidirect
403. #469	C₂²×C₁₉	semidirect
404. #468	C₂²×C₁₉	semidirect
405. #467	C₂²×C₁₉	semidirect
406. #467	C₂²×C₁₉	semidirect
407. #467	C₂²×C₁₉	semidirect
410. #466	C₂²×C₁₉	semidirect
411. #465	C₂²×C₁₉	semidirect
412. #465	C₂²×C₁₉	semidirect
413. #464	C₂²×C₁₉	semidirect
414. #463	C₂²×C₁₉	semidirect
415. #452	C₂²×C₁₉	semidirect
416. #450	C₂²×C₁₉	semidirect
418. #448	C₂²×C₁₉	semidirect
419. #440	C₂²×C₁₉	semidirect
420. C₄×Q₁₆	C₂²×C₁₉	semidirect
421. C₄×D₈	C₂²×C₁₉	semidirect
423. #435	C₂²×C₁₉	semidirect
425. C₈×D₄	C₂²×C₁₉	semidirect
426. #427	C₂²×C₁₉	semidirect
427. #427	C₂²×C₁₉	semidirect
428. #427	C₂²×C₁₉	semidirect
429. #424	C₂²×C₁₉	semidirect
430. #419	C₂²×C₁₉	semidirect
431. #418	C₂²×C₁₉	semidirect
432. #416	C₂²×C₁₉	semidirect
434. #407	C₂²×C₁₉	semidirect
435. #405	C₂²×C₁₉	semidirect
545. C₁₉	#62275	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×#3540	2
C₁₉×#3342	2
C₁₉×#3341	2
C₁₉×#3321	2
C₁₉×#3311	2
C₁₉×#3285	2
C₁₉×#3280	2
C₁₉×#3263	2
C₁₉×#3200	2
C₁₉×#3197	2
C₁₉×#3175	2
C₁₉×#3059	2
C₁₉×#3058	2
C₁₉×#3050	2
C₁₉×#2929	2
#62275	19

Subgroups — C19×#62275 #18068234

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62275 #18068234