Subgroups — C₁₉×#62354 #18068313

Order 4864.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1160 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×#3547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3357	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3343	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3338	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3333	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3331	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3315	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3308	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3305	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3299	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3284	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3249	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3203	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3201	C₂	1	2	yes	maximal, complemented
19	C₁₉×#3182	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3172	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3063	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3061	C₂	1	2	yes	maximal, complemented
23	C₁₉×#2935	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×#137	C₂²	1	2	yes	—
25	C₂×C₁₉×#135	C₂²	1	2	yes	—
26	C₂×C₁₉×#131	C₂²	1	2	yes	—
27	C₁₉×#562	—	2	2	no	—
28	C₁₉×#562	—	2	2	no	—
29	C₁₉×#555	—	2	1	no	—
30	C₁₉×#555	C₂²	1	1	yes	characteristic
31	C₁₉×#554	—	2	1	no	—
32	C₁₉×#554	C₂²	1	1	yes	characteristic
33	C₁₉×#554	C₂²	1	1	yes	characteristic
34	C₁₉×#554	C₂²	1	1	yes	characteristic
35	C₁₉×#553	—	2	1	no	—
36	C₁₉×#552	C₂²	1	2	yes	—
37	C₁₉×#550	—	2	1	no	—
38	C₁₉×#550	C₂²	1	1	yes	characteristic
39	C₁₉×#550	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
41	C₁₉×#548	C₂²	1	2	yes	—
42	C₁₉×#547	C₂²	1	2	yes	—
43	C₁₉×#547	C₂²	1	1	yes	characteristic
44	C₁₉×#547	C₂²	1	2	yes	—
45	C₁₉×#544	—	2	1	no	—
46	C₁₉×#542	—	2	2	no	—
47	C₁₉×#540	—	2	1	no	—
48	C₁₉×#540	—	2	1	no	—
49	C₁₉×#540	—	2	1	no	—
50	C₁₉×#537	—	2	2	no	—
51	C₁₉×#537	C₂²	1	2	yes	—
52	C₁₉×#537	C₂²	1	2	yes	—
53	C₁₉×#537	C₂²	1	2	yes	—
54	C₁₉×#536	C₂²	1	2	yes	—
55	C₁₉×#533	C₂²	1	1	yes	characteristic
56	C₁₉×#533	C₂²	1	1	yes	characteristic
57	C₁₉×#532	C₂²	1	1	yes	characteristic
58	C₁₉×#532	C₂²	1	1	yes	characteristic
59	C₁₉×#529	C₂²	1	1	yes	characteristic
60	C₁₉×#501	C₂²	1	1	yes	characteristic
61	C₁₉×#500	C₂²	1	1	yes	characteristic
62	C₁₉×#497	C₂²	1	1	yes	characteristic
63	C₁₉×#492	C₂²	1	1	yes	characteristic
64	C₁₉×#491	C₂²	1	1	yes	characteristic
65	C₁₉×#489	C₂²	1	1	yes	characteristic
66	C₁₉×#487	C₂²	1	1	yes	characteristic
67	C₁₉×#486	C₂²	1	1	yes	characteristic
68	C₁₉×#485	C₂²	1	2	yes	—
69	C₁₉×#484	C₂²	1	2	yes	—
70	C₁₉×#484	C₂²	1	2	yes	—
71	C₁₉×#484	C₂²	1	2	yes	—
72	C₁₉×#483	C₂²	1	2	yes	—
73	C₁₉×#482	C₂²	1	2	yes	—
74	C₁₉×#480	C₂²	1	2	yes	—
75	C₁₉×#480	C₂²	1	2	yes	—
76	C₁₉×#478	C₂²	1	2	yes	—
77	C₁₉×#477	C₂²	1	1	yes	characteristic
78	C₁₉×#477	C₂²	1	1	yes	characteristic
79	C₁₉×#477	C₂²	1	2	yes	—
80	C₁₉×#477	C₂²	1	1	yes	characteristic
81	C₁₉×#476	C₂²	1	1	yes	characteristic
82	C₁₉×#470	C₂²	1	1	yes	characteristic
83	C₁₉×#470	C₂²	1	1	yes	characteristic
84	C₁₉×#470	C₂²	1	2	yes	—
85	C₁₉×#468	C₂²	1	1	yes	characteristic
86	C₁₉×#468	C₂²	1	1	yes	characteristic
87	C₁₉×#468	C₂²	1	2	yes	—
88	C₁₉×#468	C₂²	1	2	yes	—
89	C₁₉×#468	C₂²	1	2	yes	—
90	C₁₉×#468	C₂²	1	2	yes	—
91	C₁₉×#468	C₂²	1	2	yes	—
92	C₁₉×#467	C₂²	1	2	yes	—
93	C₁₉×#467	C₂²	1	2	yes	—
94	C₁₉×#467	C₂²	1	2	yes	—
95	C₁₉×#467	C₂²	1	2	yes	—
96	C₁₉×#466	C₂²	1	2	yes	—
97	C₁₉×#466	C₂²	1	2	yes	—
98	C₁₉×#465	C₂²	1	2	yes	—
99	C₁₉×#465	C₂²	1	2	yes	—
100	C₁₉×#463	C₂²	1	2	yes	—
101	C₁₉×#462	C₂²	1	2	yes	—
102	C₁₉×#462	C₂²	1	1	yes	characteristic
103	C₁₉×#462	C₂²	1	1	yes	characteristic
104	C₁₉×#460	C₂²	1	1	yes	characteristic
105	C₁₉×#459	C₂²	1	1	yes	characteristic
106	C₁₉×#452	C₂²	1	2	yes	—
107	C₁₉×#452	C₂²	1	2	yes	—
108	C₁₉×#452	C₂²	1	2	yes	—
109	C₁₉×#452	C₂²	1	2	yes	—
110	C₁₉×#451	C₂²	1	2	yes	—
111	C₁₉×#449	C₂²	1	2	yes	—
112	C₁₉×#449	C₂²	1	2	yes	—
113	C₁₉×#448	C₂²	1	2	yes	—
114	C₁₉×#440	C₂²	1	2	yes	—
115	C₁₉×#440	C₂²	1	2	yes	—
116	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
117	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
118	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
120	C₁₉×#436	C₂²	1	1	yes	characteristic
121	C₁₉×#436	C₂²	1	1	yes	characteristic
122	C₁₉×#435	C₂²	1	2	yes	—
123	C₁₉×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
125	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
126	C₁₉×#428	C₂²	1	2	yes	—
127	C₂×C₁₉×#107	C₂²	1	2	yes	—
128	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
129	C₁₉×#417	C₂²	1	2	yes	—
130	C₁₉×#417	C₂²	1	2	yes	—
131	C₁₉×#416	C₂²	1	2	yes	—
132	C₂×C₁₉×#103	C₂²	1	2	yes	—
133	C₁₉×#408	C₂²	1	2	yes	—
134	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₁₉	—	2	2	no	—
136	C₂×#41×C₁₉	—	2	1	no	—
137	C₂×#41×C₁₉	C₂³	1	2	yes	—
138	C₂×#41×C₁₉	C₂³	1	2	yes	—
139	C₂×#41×C₁₉	C₂³	1	2	yes	—
140	C₂×#41×C₁₉	C₂³	1	2	yes	—
141	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
142	C₁₉×#137	—	4	4	no	—
143	C₁₉×#135	—	4	4	no	—
144	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
145	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
146	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
149	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
152	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×D₈×C₁₉	C₂³	1	2	yes	—
154	C₁₉×#131	—	4	4	no	—
155	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
156	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
157	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
158	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
162	C₁₉×C₄⋊Q₈	—	2	2	no	—
163	C₁₉×C₄⋊Q₈	—	2	1	no	—
164	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
165	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₉×#127	—	2	1	no	—
171	C₁₉×#127	—	2	1	no	—
172	C₁₉×#127	D₄	1	1	yes	characteristic
173	C₁₉×#127	C₂³	1	1	yes	characteristic
174	C₁₉×#126	—	2	2	no	—
175	C₁₉×#126	—	2	1	no	—
176	C₁₉×#125	—	2	1	no	—
177	C₁₉×#125	—	2	1	no	—
178	C₁₉×#125	—	2	2	no	—
179	C₁₉×#125	—	2	1	no	—
180	C₁₉×#125	—	2	1	no	—
181	C₁₉×#125	—	2	1	no	—
182	C₁₉×#125	C₂³	1	1	yes	characteristic
183	C₁₉×#124	—	2	2	no	—
184	C₁₉×#124	—	2	2	no	—
185	C₁₉×#124	—	2	2	no	—
186	C₁₉×#124	—	2	1	no	—
187	C₁₉×#124	D₄	1	2	yes	—
188	C₁₉×#124	C₂³	1	1	yes	characteristic
189	C₁₉×#123	—	2	2	no	—
190	C₁₉×#123	—	2	2	no	—
191	C₁₉×#123	—	2	2	no	—
192	C₁₉×#123	—	2	1	no	—
193	C₁₉×#123	—	2	2	no	—
194	C₁₉×#123	—	2	2	no	—
195	C₁₉×#123	—	2	2	no	—
196	C₁₉×#123	—	2	2	no	—
197	C₁₉×#123	—	2	2	no	—
198	C₁₉×C₂²⋊Q₈	—	2	2	no	—
199	C₁₉×C₂²⋊Q₈	—	2	2	no	—
200	C₁₉×C₂²⋊Q₈	—	2	2	no	—
201	C₁₉×C₂²⋊Q₈	—	2	1	no	—
202	C₁₉×C₂²⋊Q₈	—	2	1	no	—
203	C₁₉×C₂²⋊Q₈	—	2	2	no	—
204	C₁₉×C₂²⋊Q₈	—	2	2	no	—
205	C₁₉×C₂²⋊Q₈	—	2	2	no	—
206	C₁₉×C₂²⋊Q₈	—	2	2	no	—
207	C₁₉×C₂²⋊Q₈	—	2	2	no	—
208	C₁₉×C₂²⋊Q₈	—	2	2	no	—
209	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
215	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₁₉×#121	—	2	2	no	—
219	C₁₉×#121	—	2	2	no	—
220	C₁₉×#121	—	2	2	no	—
221	C₁₉×#121	—	2	2	no	—
222	C₁₉×#121	—	2	2	no	—
223	C₁₉×#121	—	2	2	no	—
224	C₁₉×#121	—	2	2	no	—
225	C₁₉×#121	—	2	2	no	—
226	C₁₉×#121	—	2	2	no	—
227	C₁₉×#121	—	2	2	no	—
228	C₁₉×#121	—	2	1	no	—
229	C₁₉×#121	—	2	2	no	—
230	C₁₉×#121	—	2	1	no	—
231	C₁₉×#121	—	2	1	no	—
232	C₁₉×#121	—	2	2	no	—
233	C₁₉×#121	—	2	2	no	—
234	C₁₉×#121	D₄	1	2	yes	—
235	C₁₉×#121	D₄	1	1	yes	characteristic
236	C₁₉×#121	D₄	1	1	yes	characteristic
237	C₁₉×#121	C₂³	1	2	yes	—
238	C₁₉×#121	C₂³	1	2	yes	—
239	C₁₉×#121	C₂³	1	2	yes	—
240	C₁₉×#121	C₂³	1	2	yes	—
241	C₁₉×#121	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₁₉	—	2	1	no	—
243	C₄×Q₈×C₁₉	—	2	1	no	—
244	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
245	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
246	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
248	C₄×D₄×C₁₉	—	2	1	no	—
249	C₄×D₄×C₁₉	—	2	1	no	—
250	C₄×D₄×C₁₉	—	2	1	no	—
251	C₄×D₄×C₁₉	—	2	1	no	—
252	C₄×D₄×C₁₉	—	2	1	no	—
253	C₄×D₄×C₁₉	—	2	1	no	—
254	C₄×D₄×C₁₉	—	2	1	no	—
255	C₄×D₄×C₁₉	—	2	2	no	—
256	C₄×D₄×C₁₉	—	2	1	no	—
257	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₉	C₂³	1	2	yes	—
259	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₉	C₂³	1	2	yes	—
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	1	no	—
264	C₁₉×#117	—	2	1	no	—
265	C₁₉×#117	—	2	2	no	—
266	C₁₉×#117	—	2	1	no	—
267	C₁₉×#117	C₂³	1	2	yes	—
268	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
269	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
270	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
271	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
272	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#107	C₂³	1	1	yes	characteristic
275	C₁₉×#107	C₂³	1	2	yes	—
276	C₁₉×#107	C₂³	1	2	yes	—
277	C₁₉×#107	C₂³	1	2	yes	—
278	C₁₉×#107	C₂³	1	2	yes	—
279	C₁₉×#107	C₂³	1	1	yes	characteristic
280	C₁₉×#107	C₂³	1	2	yes	—
281	C₁₉×#106	C₂³	1	1	yes	characteristic
282	C₁₉×#106	C₂³	1	2	yes	—
283	C₁₉×#106	C₂³	1	1	yes	characteristic
284	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	1	yes	characteristic
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	2	yes	—
291	C₁₉×#103	C₂³	1	1	yes	characteristic
292	C₁₉×#103	C₂³	1	2	yes	—
293	C₁₉×#103	C₂³	1	1	yes	characteristic
294	C₁₉×#103	C₂³	1	2	yes	—
295	C₁₉×#103	C₂³	1	2	yes	—
296	C₁₉×#103	C₂³	1	1	yes	characteristic
297	C₁₉×#103	C₂³	1	1	yes	characteristic
298	C₁₉×#103	C₂³	1	1	yes	characteristic
299	C₁₉×#103	C₂³	1	2	yes	—
300	C₁₉×#102	C₂³	1	2	yes	—
301	C₁₉×#102	C₂³	1	2	yes	—
302	C₁₉×#102	C₂³	1	1	yes	characteristic
303	C₁₉×#102	C₂³	1	2	yes	—
304	C₁₉×#102	C₂³	1	2	yes	—
305	C₁₉×#102	C₂³	1	1	yes	characteristic
306	C₁₉×#102	C₂³	1	2	yes	—
307	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	1	yes	characteristic
312	C₁₉×#97	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
315	#41×C₁₉	—	4	2	no	—
316	#41×C₁₉	—	4	2	no	—
317	#41×C₁₉	—	4	2	no	—
318	#41×C₁₉	—	4	2	no	—
319	#41×C₁₉	—	4	2	no	—
320	#41×C₁₉	—	4	2	no	—
321	#41×C₁₉	—	4	2	no	—
322	#41×C₁₉	—	4	2	no	—
323	#41×C₁₉	—	8	2	no	—
324	#41×C₁₉	—	8	4	no	—
325	C₂×Q₈×C₁₉	—	2	1	no	—
326	C₂×Q₈×C₁₉	—	2	1	no	—
327	C₂×Q₈×C₁₉	—	2	1	no	—
328	C₂×Q₈×C₁₉	—	2	2	no	—
329	C₂×Q₈×C₁₉	—	4	2	no	—
330	C₂×Q₈×C₁₉	—	4	2	no	—
331	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
332	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₉	—	2	1	no	—
337	C₂×D₄×C₁₉	—	2	2	no	—
338	C₂×D₄×C₁₉	—	2	2	no	—
339	C₂×D₄×C₁₉	—	2	2	no	—
340	C₂×D₄×C₁₉	—	2	2	no	—
341	C₂×D₄×C₁₉	—	2	2	no	—
342	C₂×D₄×C₁₉	—	2	2	no	—
343	C₂×D₄×C₁₉	—	2	2	no	—
344	C₂×D₄×C₁₉	—	2	1	no	—
345	C₂×D₄×C₁₉	—	2	1	no	—
346	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
347	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
349	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
351	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
352	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
353	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₁₉	—	2	2	no	—
355	C₂²×C₄×C₁₉	—	2	2	no	—
356	C₂²×C₄×C₁₉	—	2	2	no	—
357	C₂²×C₄×C₁₉	—	2	2	no	—
358	C₂²×C₄×C₁₉	—	2	1	no	—
359	C₂²×C₄×C₁₉	—	2	2	no	—
360	C₂²×C₄×C₁₉	—	2	2	no	—
361	C₂²×C₄×C₁₉	—	2	2	no	—
362	C₂²×C₄×C₁₉	—	2	2	no	—
363	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
367	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
368	Q₁₆×C₁₉	—	2	2	no	—
369	Q₁₆×C₁₉	—	4	1	no	—
370	Q₁₆×C₁₉	—	4	2	no	—
371	Q₁₆×C₁₉	—	4	2	no	—
372	SD₁₆×C₁₉	—	2	2	no	—
373	SD₁₆×C₁₉	—	2	4	no	—
374	SD₁₆×C₁₉	—	4	2	no	—
375	SD₁₆×C₁₉	—	4	1	no	—
376	SD₁₆×C₁₉	—	4	2	no	—
377	D₈×C₁₉	—	4	2	no	—
378	M₁₆×C₁₉	—	2	2	no	—
379	M₁₆×C₁₉	—	2	4	no	—
380	M₁₆×C₁₉	—	4	1	no	—
381	M₁₆×C₁₉	—	4	2	no	—
382	C₂×C₈×C₁₉	—	2	4	no	—
383	C₂×C₈×C₁₉	—	4	2	no	—
384	C₂×C₈×C₁₉	—	4	2	no	—
385	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
386	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
391	C₄⋊C₄×C₁₉	—	2	1	no	—
392	C₄⋊C₄×C₁₉	—	2	1	no	—
393	C₄⋊C₄×C₁₉	—	2	2	no	—
394	C₄⋊C₄×C₁₉	—	2	2	no	—
395	C₄⋊C₄×C₁₉	—	2	2	no	—
396	C₄⋊C₄×C₁₉	—	2	2	no	—
397	C₄⋊C₄×C₁₉	—	2	2	no	—
398	C₄⋊C₄×C₁₉	—	2	2	no	—
399	C₄⋊C₄×C₁₉	—	2	1	no	—
400	C₄⋊C₄×C₁₉	—	2	1	no	—
401	C₄⋊C₄×C₁₉	—	2	2	no	—
402	C₄⋊C₄×C₁₉	—	2	1	no	—
403	C₄⋊C₄×C₁₉	—	2	1	no	—
404	C₄⋊C₄×C₁₉	—	2	1	no	—
405	C₄⋊C₄×C₁₉	—	2	1	no	—
406	C₄⋊C₄×C₁₉	—	2	1	no	—
407	C₄⋊C₄×C₁₉	—	2	2	no	—
408	C₄⋊C₄×C₁₉	—	2	1	no	—
409	C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₄⋊C₄×C₁₉	—	2	2	no	—
411	C₄⋊C₄×C₁₉	—	2	1	no	—
412	C₄⋊C₄×C₁₉	—	2	1	no	—
413	C₄⋊C₄×C₁₉	—	2	1	no	—
414	C₄⋊C₄×C₁₉	—	2	2	no	—
415	C₄⋊C₄×C₁₉	—	2	1	no	—
416	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
417	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
418	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
419	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
420	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
421	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
423	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
424	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
425	C₂²⋊C₄×C₁₉	—	2	1	no	—
426	C₂²⋊C₄×C₁₉	—	2	1	no	—
427	C₂²⋊C₄×C₁₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₉	—	2	2	no	—
429	C₂²⋊C₄×C₁₉	—	2	2	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	—	2	2	no	—
432	C₂²⋊C₄×C₁₉	—	2	2	no	—
433	C₂²⋊C₄×C₁₉	—	2	2	no	—
434	C₂²⋊C₄×C₁₉	—	2	1	no	—
435	C₂²⋊C₄×C₁₉	—	2	1	no	—
436	C₂²⋊C₄×C₁₉	—	2	1	no	—
437	C₂²⋊C₄×C₁₉	—	2	2	no	—
438	C₂²⋊C₄×C₁₉	—	2	1	no	—
439	C₂²⋊C₄×C₁₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₉	—	2	2	no	—
441	C₂²⋊C₄×C₁₉	—	2	2	no	—
442	C₂²⋊C₄×C₁₉	—	2	2	no	—
443	C₂²⋊C₄×C₁₉	—	2	1	no	—
444	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
445	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
446	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
447	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
448	C₄²×C₁₉	—	2	2	no	—
449	C₄²×C₁₉	—	2	2	no	—
450	C₄²×C₁₉	—	2	1	no	—
451	C₄²×C₁₉	—	2	1	no	—
452	C₄²×C₁₉	—	2	1	no	—
453	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
457	#62354	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
458	C₂³×C₁₉	—	2	1	no	—
459	C₂³×C₁₉	—	2	2	no	—
460	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
461	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
462	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
463	Q₈×C₁₉	—	2	2	no	—
464	Q₈×C₁₉	—	2	1	no	—
465	Q₈×C₁₉	—	2	1	no	—
466	Q₈×C₁₉	—	2	1	no	—
467	Q₈×C₁₉	—	2	2	no	—
468	Q₈×C₁₉	—	2	1	no	—
469	Q₈×C₁₉	—	2	1	no	—
470	Q₈×C₁₉	—	2	1	no	—
471	Q₈×C₁₉	—	4	2	no	—
472	Q₈×C₁₉	—	4	2	no	—
473	Q₈×C₁₉	—	8	1	no	—
474	Q₈×C₁₉	—	8	2	no	—
475	Q₈×C₁₉	—	8	1	no	—
476	D₄×C₁₉	—	2	2	no	—
477	D₄×C₁₉	—	2	2	no	—
478	D₄×C₁₉	—	2	1	no	—
479	D₄×C₁₉	—	2	2	no	—
480	D₄×C₁₉	—	2	1	no	—
481	D₄×C₁₉	—	2	2	no	—
482	D₄×C₁₉	—	4	2	no	—
483	D₄×C₁₉	—	4	2	no	—
484	D₄×C₁₉	—	4	2	no	—
485	D₄×C₁₉	—	4	2	no	—
486	D₄×C₁₉	—	4	2	no	—
487	D₄×C₁₉	—	8	1	no	—
488	D₄×C₁₉	—	8	1	no	—
489	D₄×C₁₉	—	8	2	no	—
490	D₄×C₁₉	—	8	2	no	—
491	D₄×C₁₉	—	8	2	no	—
492	D₄×C₁₉	—	8	2	no	—
493	D₄×C₁₉	—	8	2	no	—
494	D₄×C₁₉	—	8	2	no	—
495	D₄×C₁₉	—	8	2	no	—
496	C₂×C₄×C₁₉	—	2	2	no	—
497	C₂×C₄×C₁₉	—	2	2	no	—
498	C₂×C₄×C₁₉	—	2	1	no	—
499	C₂×C₄×C₁₉	—	2	2	no	—
500	C₂×C₄×C₁₉	—	2	1	no	—
501	C₂×C₄×C₁₉	—	2	2	no	—
502	C₂×C₄×C₁₉	—	2	2	no	—
503	C₂×C₄×C₁₉	—	2	1	no	—
504	C₂×C₄×C₁₉	—	2	2	no	—
505	C₂×C₄×C₁₉	—	2	1	no	—
506	C₂×C₄×C₁₉	—	2	1	no	—
507	C₂×C₄×C₁₉	—	2	1	no	—
508	C₂×C₄×C₁₉	—	2	1	no	—
509	C₂×C₄×C₁₉	—	2	2	no	—
510	C₂×C₄×C₁₉	—	2	1	no	—
511	C₂×C₄×C₁₉	—	2	1	no	—
512	C₂×C₄×C₁₉	—	2	2	no	—
513	C₂×C₄×C₁₉	—	4	1	no	—
514	C₂×C₄×C₁₉	—	4	4	no	—
515	C₂×C₄×C₁₉	—	4	2	no	—
516	C₂×C₄×C₁₉	—	8	2	no	—
517	C₂×C₄×C₁₉	—	8	2	no	—
518	C₂×C₄×C₁₉	—	8	2	no	—
519	C₂×C₄×C₁₉	—	8	2	no	—
520	C₂×C₄×C₁₉	—	8	2	no	—
521	C₂×C₄×C₁₉	—	8	2	no	—
522	C₂×C₄×C₁₉	—	8	2	no	—
523	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
526	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
531	C₈×C₁₉	—	2	2	no	—
532	C₈×C₁₉	—	2	1	no	—
533	C₈×C₁₉	—	2	2	no	—
534	C₈×C₁₉	—	2	1	no	—
535	C₈×C₁₉	—	2	1	no	—
536	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
537	#3548	C₂×C₁₉	1	1	yes	characteristic, complemented
538	#3547	C₂×C₁₉	1	1	yes	characteristic, complemented
539	#3357	C₂×C₁₉	1	1	yes	characteristic, complemented
540	#3343	C₂×C₁₉	1	2	yes	complemented
541	#3338	C₂×C₁₉	1	1	yes	characteristic, complemented
542	#3333	C₂×C₁₉	1	1	yes	characteristic, complemented
543	#3331	C₂×C₁₉	1	1	yes	characteristic, complemented
544	#3315	C₂×C₁₉	1	2	yes	complemented
545	#3308	C₂×C₁₉	1	2	yes	complemented
546	#3305	C₂×C₁₉	1	1	yes	characteristic, complemented
547	#3299	C₂×C₁₉	1	1	yes	characteristic, complemented
548	#3284	C₂×C₁₉	1	1	yes	characteristic, complemented
549	#3278	C₂×C₁₉	1	1	yes	characteristic, complemented
550	#3269	C₂×C₁₉	1	2	yes	complemented
551	#3249	C₂×C₁₉	1	1	yes	characteristic, complemented
552	#3247	C₂×C₁₉	1	1	yes	characteristic, complemented
553	#3203	C₂×C₁₉	1	2	yes	complemented
554	#3201	C₂×C₁₉	1	2	yes	complemented
555	#3182	C₂×C₁₉	1	1	yes	characteristic, complemented
556	#3172	C₂×C₁₉	1	1	yes	characteristic, complemented
557	#3063	C₂×C₁₉	1	2	yes	complemented
558	#3061	C₂×C₁₉	1	2	yes	complemented
559	#2935	C₂×C₁₉	1	1	yes	characteristic, complemented
560	C₂²×C₁₉	—	2	1	no	—
561	C₂²×C₁₉	—	2	2	no	—
562	C₂²×C₁₉	—	2	2	no	—
563	C₂²×C₁₉	—	2	2	no	—
564	C₂²×C₁₉	—	2	1	no	—
565	C₂²×C₁₉	—	2	2	no	—
566	C₂²×C₁₉	—	2	1	no	—
567	C₂²×C₁₉	—	2	2	no	—
568	C₂²×C₁₉	—	2	2	no	—
569	C₂²×C₁₉	—	4	2	no	—
570	C₂²×C₁₉	—	4	1	no	—
571	C₂²×C₁₉	—	4	1	no	—
572	C₂²×C₁₉	—	4	2	no	—
573	C₂²×C₁₉	—	4	1	no	—
574	C₂²×C₁₉	—	4	2	no	—
575	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
576	C₄×C₁₉	—	2	1	no	—
577	C₄×C₁₉	—	2	1	no	—
578	C₄×C₁₉	—	2	2	no	—
579	C₄×C₁₉	—	2	2	no	—
580	C₄×C₁₉	—	2	1	no	—
581	C₄×C₁₉	—	2	1	no	—
582	C₄×C₁₉	—	4	2	no	—
583	C₄×C₁₉	—	4	1	no	—
584	C₄×C₁₉	—	4	1	no	—
585	C₄×C₁₉	—	4	1	no	—
586	C₄×C₁₉	—	4	2	no	—
587	C₄×C₁₉	—	4	1	no	—
588	C₄×C₁₉	—	4	1	no	—
589	C₄×C₁₉	—	4	2	no	—
590	C₄×C₁₉	—	4	1	no	—
591	C₄×C₁₉	—	4	1	no	—
592	C₄×C₁₉	#578	1	2	yes	—
593	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
594	C₄×C₁₉	#585	1	1	yes	characteristic
595	C₂×#137	C₂²×C₁₉	1	2	yes	—
596	C₂×#135	C₂²×C₁₉	1	2	yes	—
597	C₂×#131	C₂²×C₁₉	1	2	yes	—
598	#562	—	2	2	no	—
599	#562	—	2	2	no	—
600	#555	—	2	1	no	—
601	#555	C₂²×C₁₉	1	1	yes	characteristic
602	#554	—	2	1	no	—
603	#554	C₂²×C₁₉	1	1	yes	characteristic
604	#554	C₂²×C₁₉	1	1	yes	characteristic
605	#554	C₂²×C₁₉	1	1	yes	characteristic
606	#553	—	2	1	no	—
607	#552	C₂²×C₁₉	1	2	yes	—
608	#550	—	2	1	no	—
609	#550	C₂²×C₁₉	1	1	yes	characteristic
610	#550	C₂²×C₁₉	1	1	yes	characteristic
611	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
612	#548	C₂²×C₁₉	1	2	yes	—
613	#547	C₂²×C₁₉	1	1	yes	characteristic
614	#547	C₂²×C₁₉	1	2	yes	—
615	#547	C₂²×C₁₉	1	2	yes	—
616	#544	—	2	1	no	—
617	#542	—	2	2	no	—
618	#540	—	2	1	no	—
619	#540	—	2	1	no	—
620	#540	—	2	1	no	—
621	#537	—	2	2	no	—
622	#537	C₂²×C₁₉	1	2	yes	—
623	#537	C₂²×C₁₉	1	2	yes	—
624	#537	C₂²×C₁₉	1	2	yes	—
625	#536	C₂²×C₁₉	1	2	yes	—
626	#533	C₂²×C₁₉	1	1	yes	characteristic
627	#533	C₂²×C₁₉	1	1	yes	characteristic
628	#532	C₂²×C₁₉	1	1	yes	characteristic
629	#532	C₂²×C₁₉	1	1	yes	characteristic
630	#529	C₂²×C₁₉	1	1	yes	characteristic
631	#501	C₂²×C₁₉	1	1	yes	characteristic
632	#500	C₂²×C₁₉	1	1	yes	characteristic
633	#497	C₂²×C₁₉	1	1	yes	characteristic
634	#492	C₂²×C₁₉	1	1	yes	characteristic
635	#491	C₂²×C₁₉	1	1	yes	characteristic
636	#489	C₂²×C₁₉	1	1	yes	characteristic
637	#487	C₂²×C₁₉	1	1	yes	characteristic
638	#486	C₂²×C₁₉	1	1	yes	characteristic
639	#485	C₂²×C₁₉	1	2	yes	—
640	#484	C₂²×C₁₉	1	2	yes	—
641	#484	C₂²×C₁₉	1	2	yes	—
642	#484	C₂²×C₁₉	1	2	yes	—
643	#483	C₂²×C₁₉	1	2	yes	—
644	#482	C₂²×C₁₉	1	2	yes	—
645	#480	C₂²×C₁₉	1	2	yes	—
646	#480	C₂²×C₁₉	1	2	yes	—
647	#478	C₂²×C₁₉	1	2	yes	—
648	#477	C₂²×C₁₉	1	1	yes	characteristic
649	#477	C₂²×C₁₉	1	1	yes	characteristic
650	#477	C₂²×C₁₉	1	1	yes	characteristic
651	#477	C₂²×C₁₉	1	2	yes	—
652	#476	C₂²×C₁₉	1	1	yes	characteristic
653	#470	C₂²×C₁₉	1	2	yes	—
654	#470	C₂²×C₁₉	1	1	yes	characteristic
655	#470	C₂²×C₁₉	1	1	yes	characteristic
656	#468	C₂²×C₁₉	1	2	yes	—
657	#468	C₂²×C₁₉	1	2	yes	—
658	#468	C₂²×C₁₉	1	2	yes	—
659	#468	C₂²×C₁₉	1	1	yes	characteristic
660	#468	C₂²×C₁₉	1	1	yes	characteristic
661	#468	C₂²×C₁₉	1	2	yes	—
662	#468	C₂²×C₁₉	1	2	yes	—
663	#467	C₂²×C₁₉	1	2	yes	—
664	#467	C₂²×C₁₉	1	2	yes	—
665	#467	C₂²×C₁₉	1	2	yes	—
666	#467	C₂²×C₁₉	1	2	yes	—
667	#466	C₂²×C₁₉	1	2	yes	—
668	#466	C₂²×C₁₉	1	2	yes	—
669	#465	C₂²×C₁₉	1	2	yes	—
670	#465	C₂²×C₁₉	1	2	yes	—
671	#463	C₂²×C₁₉	1	2	yes	—
672	#462	C₂²×C₁₉	1	1	yes	characteristic
673	#462	C₂²×C₁₉	1	2	yes	—
674	#462	C₂²×C₁₉	1	1	yes	characteristic
675	#460	C₂²×C₁₉	1	1	yes	characteristic
676	#459	C₂²×C₁₉	1	1	yes	characteristic
677	#452	C₂²×C₁₉	1	2	yes	—
678	#452	C₂²×C₁₉	1	2	yes	—
679	#452	C₂²×C₁₉	1	2	yes	—
680	#452	C₂²×C₁₉	1	2	yes	—
681	#451	C₂²×C₁₉	1	2	yes	—
682	#449	C₂²×C₁₉	1	2	yes	—
683	#449	C₂²×C₁₉	1	2	yes	—
684	#448	C₂²×C₁₉	1	2	yes	—
685	#440	C₂²×C₁₉	1	2	yes	—
686	#440	C₂²×C₁₉	1	2	yes	—
687	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
688	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
689	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
690	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
691	#436	C₂²×C₁₉	1	1	yes	characteristic
692	#436	C₂²×C₁₉	1	1	yes	characteristic
693	#435	C₂²×C₁₉	1	2	yes	—
694	#435	C₂²×C₁₉	1	2	yes	—
695	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
696	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
697	#428	C₂²×C₁₉	1	2	yes	—
698	C₂×#107	C₂²×C₁₉	1	2	yes	—
699	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
700	#417	C₂²×C₁₉	1	2	yes	—
701	#417	C₂²×C₁₉	1	2	yes	—
702	#416	C₂²×C₁₉	1	2	yes	—
703	C₂×#103	C₂²×C₁₉	1	2	yes	—
704	#408	C₂²×C₁₉	1	2	yes	—
705	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
706	C₂×C₁₉	—	4	1	no	—
707	C₂×C₁₉	—	4	2	no	—
708	C₂×C₁₉	—	4	2	no	—
709	C₂×C₁₉	—	8	2	no	—
710	C₂×C₁₉	—	8	1	no	—
711	C₂×C₁₉	#3496	1	1	yes	characteristic
712	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
713	C₂×C₁₉	#3585	1	1	yes	characteristic
714	C₂×#41	—	2	2	no	—
715	C₂×#41	—	2	1	no	—
716	C₂×#41	C₂³×C₁₉	1	2	yes	—
717	C₂×#41	C₂³×C₁₉	1	2	yes	—
718	C₂×#41	C₂³×C₁₉	1	2	yes	—
719	C₂×#41	C₂³×C₁₉	1	2	yes	—
720	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
721	#137	—	4	4	no	—
722	#135	—	4	4	no	—
723	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
724	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
725	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
726	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
727	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
728	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
729	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
730	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
731	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
732	C₂×D₈	C₂³×C₁₉	1	2	yes	—
733	#131	—	4	4	no	—
734	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
735	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
736	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
737	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
738	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
739	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
740	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
741	C₄⋊Q₈	—	2	2	no	—
742	C₄⋊Q₈	—	2	1	no	—
743	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
744	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
745	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
746	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
747	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
748	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
749	#127	—	2	1	no	—
750	#127	—	2	1	no	—
751	#127	D₄×C₁₉	1	1	yes	characteristic
752	#127	C₂³×C₁₉	1	1	yes	characteristic
753	#126	—	2	2	no	—
754	#126	—	2	1	no	—
755	#125	—	2	1	no	—
756	#125	—	2	1	no	—
757	#125	—	2	2	no	—
758	#125	—	2	1	no	—
759	#125	—	2	1	no	—
760	#125	—	2	1	no	—
761	#125	C₂³×C₁₉	1	1	yes	characteristic
762	#124	—	2	2	no	—
763	#124	—	2	2	no	—
764	#124	—	2	2	no	—
765	#124	—	2	1	no	—
766	#124	D₄×C₁₉	1	2	yes	—
767	#124	C₂³×C₁₉	1	1	yes	characteristic
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	1	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	—	2	2	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	—	2	2	no	—
788	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
789	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
790	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
791	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
792	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
793	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
794	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
795	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
796	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	—	2	2	no	—
801	#121	—	2	2	no	—
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	—	2	2	no	—
807	#121	—	2	1	no	—
808	#121	—	2	2	no	—
809	#121	—	2	1	no	—
810	#121	—	2	1	no	—
811	#121	—	2	2	no	—
812	#121	—	2	2	no	—
813	#121	D₄×C₁₉	1	2	yes	—
814	#121	D₄×C₁₉	1	1	yes	characteristic
815	#121	D₄×C₁₉	1	1	yes	characteristic
816	#121	C₂³×C₁₉	1	1	yes	characteristic
817	#121	C₂³×C₁₉	1	2	yes	—
818	#121	C₂³×C₁₉	1	2	yes	—
819	#121	C₂³×C₁₉	1	2	yes	—
820	#121	C₂³×C₁₉	1	2	yes	—
821	C₄×Q₈	—	2	1	no	—
822	C₄×Q₈	—	2	1	no	—
823	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
824	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
825	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
826	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	—	2	1	no	—
830	C₄×D₄	—	2	1	no	—
831	C₄×D₄	—	2	1	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	2	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
837	C₄×D₄	C₂³×C₁₉	1	2	yes	—
838	C₄×D₄	C₂³×C₁₉	1	2	yes	—
839	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
840	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
841	#117	—	2	1	no	—
842	#117	—	2	1	no	—
843	#117	—	2	1	no	—
844	#117	—	2	2	no	—
845	#117	—	2	1	no	—
846	#117	C₂³×C₁₉	1	2	yes	—
847	C₂×C₄⋊C₄	—	2	2	no	—
848	C₂×C₄⋊C₄	—	2	1	no	—
849	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
850	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
851	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
852	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
853	#107	C₂³×C₁₉	1	1	yes	characteristic
854	#107	C₂³×C₁₉	1	2	yes	—
855	#107	C₂³×C₁₉	1	2	yes	—
856	#107	C₂³×C₁₉	1	2	yes	—
857	#107	C₂³×C₁₉	1	2	yes	—
858	#107	C₂³×C₁₉	1	1	yes	characteristic
859	#107	C₂³×C₁₉	1	2	yes	—
860	#106	C₂³×C₁₉	1	1	yes	characteristic
861	#106	C₂³×C₁₉	1	2	yes	—
862	#106	C₂³×C₁₉	1	1	yes	characteristic
863	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
864	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
865	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
866	#103	C₂³×C₁₉	1	1	yes	characteristic
867	#103	C₂³×C₁₉	1	2	yes	—
868	#103	C₂³×C₁₉	1	2	yes	—
869	#103	C₂³×C₁₉	1	2	yes	—
870	#103	C₂³×C₁₉	1	1	yes	characteristic
871	#103	C₂³×C₁₉	1	2	yes	—
872	#103	C₂³×C₁₉	1	1	yes	characteristic
873	#103	C₂³×C₁₉	1	2	yes	—
874	#103	C₂³×C₁₉	1	2	yes	—
875	#103	C₂³×C₁₉	1	1	yes	characteristic
876	#103	C₂³×C₁₉	1	1	yes	characteristic
877	#103	C₂³×C₁₉	1	1	yes	characteristic
878	#103	C₂³×C₁₉	1	2	yes	—
879	#102	C₂³×C₁₉	1	2	yes	—
880	#102	C₂³×C₁₉	1	2	yes	—
881	#102	C₂³×C₁₉	1	1	yes	characteristic
882	#102	C₂³×C₁₉	1	2	yes	—
883	#102	C₂³×C₁₉	1	2	yes	—
884	#102	C₂³×C₁₉	1	1	yes	characteristic
885	#102	C₂³×C₁₉	1	2	yes	—
886	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
887	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
888	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
889	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
890	#97	C₂³×C₁₉	1	1	yes	characteristic
891	#97	C₂³×C₁₉	1	1	yes	characteristic
892	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
893	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
894	C₁₉	#62354	1	1	yes	characteristic, direct product factor, Sylow
895	#41	—	4	2	no	—
896	#41	—	4	2	no	—
897	#41	—	4	2	no	—
898	#41	—	4	2	no	—
899	#41	—	4	2	no	—
900	#41	—	4	2	no	—
901	#41	—	4	2	no	—
902	#41	—	4	2	no	—
903	#41	—	8	2	no	—
904	#41	—	8	4	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	1	no	—
907	C₂×Q₈	—	2	1	no	—
908	C₂×Q₈	—	2	2	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
912	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
913	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
914	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
927	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
928	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
929	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
930	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
931	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
932	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
933	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
944	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
946	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
947	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
948	Q₁₆	—	2	2	no	—
949	Q₁₆	—	4	1	no	—
950	Q₁₆	—	4	2	no	—
951	Q₁₆	—	4	2	no	—
952	SD₁₆	—	2	2	no	—
953	SD₁₆	—	2	4	no	—
954	SD₁₆	—	4	2	no	—
955	SD₁₆	—	4	1	no	—
956	SD₁₆	—	4	2	no	—
957	D₈	—	4	2	no	—
958	M₁₆	—	2	2	no	—
959	M₁₆	—	2	4	no	—
960	M₁₆	—	4	1	no	—
961	M₁₆	—	4	2	no	—
962	C₂×C₈	—	2	4	no	—
963	C₂×C₈	—	4	2	no	—
964	C₂×C₈	—	4	2	no	—
965	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
966	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
967	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
968	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
969	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
970	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
997	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
998	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
999	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1000	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1001	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1002	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1003	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1004	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	1	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1025	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1026	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1027	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1028	C₄²	—	2	2	no	—
1029	C₄²	—	2	2	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1034	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1035	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1036	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1040	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1041	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	1	no	—
1045	Q₈	—	2	1	no	—
1046	Q₈	—	2	2	no	—
1047	Q₈	—	2	1	no	—
1048	Q₈	—	2	1	no	—
1049	Q₈	—	2	1	no	—
1050	Q₈	—	4	2	no	—
1051	Q₈	—	4	2	no	—
1052	Q₈	—	8	2	no	—
1053	Q₈	—	8	1	no	—
1054	Q₈	—	8	1	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	2	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	2	no	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	2	no	—
1061	D₄	—	4	2	no	—
1062	D₄	—	4	2	no	—
1063	D₄	—	4	2	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	8	1	no	—
1067	D₄	—	8	2	no	—
1068	D₄	—	8	2	no	—
1069	D₄	—	8	2	no	—
1070	D₄	—	8	2	no	—
1071	D₄	—	8	2	no	—
1072	D₄	—	8	2	no	—
1073	D₄	—	8	1	no	—
1074	D₄	—	8	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	4	1	no	—
1093	C₂×C₄	—	4	4	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	8	2	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1103	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1104	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1105	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1106	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1107	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1108	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1109	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1110	C₈	—	2	2	no	—
1111	C₈	—	2	1	no	—
1112	C₈	—	2	2	no	—
1113	C₈	—	2	1	no	—
1114	C₈	—	2	1	no	—
1115	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	1	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	2	no	—
1127	C₂²	—	4	1	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1132	C₄	—	2	2	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	1	no	—
1137	C₄	—	2	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	2	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	1	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	2	no	—
1148	C₄	C₁₉×#578	1	2	yes	—
1149	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1150	C₄	C₁₉×#585	1	1	yes	characteristic
1151	C₂	—	4	2	no	—
1152	C₂	—	4	1	no	—
1153	C₂	—	4	2	no	—
1154	C₂	—	8	1	no	—
1155	C₂	—	8	2	no	—
1156	C₂	C₁₉×#3496	1	1	yes	characteristic
1157	C₂	C₂×C₁₉×#578	1	1	yes	characteristic
1158	C₂	C₁₉×#3585	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×#3547	C₂	semidirect
3. C₁₉×#3357	C₂	semidirect
4. C₁₉×#3343	C₂	semidirect
5. C₁₉×#3338	C₂	semidirect
6. C₁₉×#3333	C₂	semidirect
7. C₁₉×#3331	C₂	semidirect
8. C₁₉×#3315	C₂	semidirect
9. C₁₉×#3308	C₂	semidirect
10. C₁₉×#3305	C₂	semidirect
11. C₁₉×#3299	C₂	semidirect
12. C₁₉×#3284	C₂	semidirect
13. C₁₉×#3278	C₂	semidirect
14. C₁₉×#3269	C₂	semidirect
15. C₁₉×#3249	C₂	semidirect
16. C₁₉×#3247	C₂	semidirect
17. C₁₉×#3203	C₂	semidirect
18. C₁₉×#3201	C₂	semidirect
19. C₁₉×#3182	C₂	semidirect
20. C₁₉×#3172	C₂	semidirect
21. C₁₉×#3063	C₂	semidirect
22. C₁₉×#3061	C₂	semidirect
23. C₁₉×#2935	C₂	semidirect
457. #62354	C₁₉	direct (N × H)
537. #3548	C₂×C₁₉	semidirect
538. #3547	C₂×C₁₉	semidirect
539. #3357	C₂×C₁₉	semidirect
540. #3343	C₂×C₁₉	semidirect
541. #3338	C₂×C₁₉	semidirect
542. #3333	C₂×C₁₉	semidirect
543. #3331	C₂×C₁₉	semidirect
544. #3315	C₂×C₁₉	semidirect
545. #3308	C₂×C₁₉	semidirect
546. #3305	C₂×C₁₉	semidirect
547. #3299	C₂×C₁₉	semidirect
548. #3284	C₂×C₁₉	semidirect
549. #3278	C₂×C₁₉	semidirect
550. #3269	C₂×C₁₉	semidirect
551. #3249	C₂×C₁₉	semidirect
552. #3247	C₂×C₁₉	semidirect
553. #3203	C₂×C₁₉	semidirect
554. #3201	C₂×C₁₉	semidirect
555. #3182	C₂×C₁₉	semidirect
556. #3172	C₂×C₁₉	semidirect
557. #3063	C₂×C₁₉	semidirect
558. #3061	C₂×C₁₉	semidirect
559. #2935	C₂×C₁₉	semidirect
894. C₁₉	#62354	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×#3547	2
C₁₉×#3357	2
C₁₉×#3343	2
C₁₉×#3338	2
C₁₉×#3333	2
C₁₉×#3331	2
C₁₉×#3315	2
C₁₉×#3308	2
C₁₉×#3305	2
C₁₉×#3299	2
C₁₉×#3284	2
C₁₉×#3278	2
C₁₉×#3269	2
C₁₉×#3249	2
C₁₉×#3247	2
C₁₉×#3203	2
C₁₉×#3201	2
C₁₉×#3182	2
C₁₉×#3172	2
C₁₉×#3063	2
C₁₉×#3061	2
C₁₉×#2935	2
#62354	19

Subgroups — C19×#62354 #18068313

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62354 #18068313