Subgroups — C₁₉×#62286 #18068245

Order 4864.

1912 conjugacy classes of subgroups.

The subgroup lattice has 1100 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	1	yes	maximal, characteristic, complemented
2	C₁₉×#3537	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3350	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3347	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3326	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3325	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3324	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3322	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3265	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3264	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3257	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3200	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3199	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3194	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3058	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3057	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3055	C₂	1	2	yes	maximal, complemented
19	C₁₉×#2930	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
22	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
24	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₁₉×H(3,𝔽₄)	—	2	1	no	—
26	C₁₉×#560	—	2	1	no	—
27	C₁₉×#560	—	2	1	no	—
28	C₁₉×#560	—	2	1	no	—
29	C₁₉×#559	—	2	1	no	—
30	C₁₉×#556	C₂²	1	2	yes	complemented
31	C₁₉×#555	C₂²	1	2	yes	complemented
32	C₁₉×#553	C₂²	1	2	yes	—
33	C₁₉×#553	C₂²	1	2	yes	complemented
34	C₁₉×#551	—	2	1	no	—
35	C₁₉×#548	C₂²	1	2	yes	complemented
36	C₁₉×#546	C₂²	1	2	yes	complemented
37	D₄²×C₁₉	—	2	1	no	—
38	D₄²×C₁₉	—	2	1	no	—
39	D₄²×C₁₉	C₂²	1	2	yes	—
40	D₄²×C₁₉	C₂²	1	2	yes	complemented
41	C₁₉×#542	—	2	2	no	—
42	C₁₉×#542	C₂²	1	2	yes	complemented
43	C₁₉×#540	C₂²	1	2	yes	complemented
44	C₁₉×#538	—	2	2	no	—
45	C₁₉×#538	—	2	2	no	—
46	C₁₉×#536	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#535	C₂²	1	1	yes	characteristic
48	C₁₉×#535	C₂²	1	1	yes	characteristic
49	C₁₉×#535	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#534	—	2	2	no	—
51	C₁₉×#525	C₂²	1	1	yes	characteristic
52	C₁₉×#525	C₂²	1	2	yes	complemented
53	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
54	C₁₉×#501	C₂²	1	2	yes	complemented
55	C₁₉×#496	C₂²	1	2	yes	complemented
56	C₁₉×#488	C₂²	1	2	yes	complemented
57	C₁₉×#486	C₂²	1	2	yes	complemented
58	C₁₉×#485	C₂²	1	2	yes	complemented
59	C₁₉×#483	C₂²	1	2	yes	complemented
60	C₁₉×#482	C₂²	1	2	yes	complemented
61	C₁₉×#482	C₂²	1	2	yes	complemented
62	C₁₉×#482	C₂²	1	2	yes	complemented
63	C₁₉×#482	C₂²	1	2	yes	complemented
64	C₁₉×#482	C₂²	1	2	yes	complemented
65	C₁₉×#480	C₂²	1	2	yes	complemented
66	C₁₉×#479	C₂²	1	2	yes	complemented
67	C₁₉×#478	C₂²	1	2	yes	complemented
68	C₁₉×#476	C₂²	1	2	yes	complemented
69	C₁₉×#474	C₂²	1	2	yes	complemented
70	C₁₉×#469	C₂²	1	2	yes	complemented
71	C₁₉×#469	C₂²	1	2	yes	complemented
72	C₁₉×#469	C₂²	1	2	yes	complemented
73	C₁₉×#469	C₂²	1	2	yes	complemented
74	C₁₉×#469	C₂²	1	2	yes	complemented
75	C₁₉×#468	C₂²	1	2	yes	complemented
76	C₁₉×#468	C₂²	1	2	yes	complemented
77	C₁₉×#468	C₂²	1	2	yes	complemented
78	C₁₉×#468	C₂²	1	2	yes	complemented
79	C₁₉×#468	C₂²	1	2	yes	complemented
80	C₁₉×#466	C₂²	1	2	yes	complemented
81	C₁₉×#466	C₂²	1	2	yes	complemented
82	C₁₉×#466	C₂²	1	2	yes	complemented
83	C₁₉×#465	C₂²	1	2	yes	complemented
84	C₁₉×#465	C₂²	1	2	yes	complemented
85	C₁₉×#465	C₂²	1	2	yes	complemented
86	C₁₉×#463	C₂²	1	2	yes	complemented
87	C₁₉×#463	C₂²	1	2	yes	complemented
88	C₁₉×#460	C₂²	1	2	yes	complemented
89	C₁₉×#459	C₂²	1	2	yes	complemented
90	C₁₉×#450	C₂²	1	2	yes	complemented
91	C₁₉×#450	C₂²	1	2	yes	complemented
92	C₁₉×#449	C₂²	1	2	yes	complemented
93	C₁₉×#449	C₂²	1	2	yes	complemented
94	C₁₉×#448	C₂²	1	2	yes	complemented
95	C₁₉×#447	C₂²	1	2	yes	complemented
96	C₁₉×#447	C₂²	1	2	yes	complemented
97	C₁₉×#447	C₂²	1	2	yes	complemented
98	C₁₉×#442	C₂²	1	2	yes	complemented
99	C₁₉×#440	C₂²	1	2	yes	complemented
100	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
101	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
102	C₁₉×#436	C₂²	1	2	yes	complemented
103	C₁₉×#436	C₂²	1	2	yes	complemented
104	C₁₉×#435	C₂²	1	2	yes	complemented
105	C₁₉×#435	C₂²	1	2	yes	complemented
106	C₁₉×#428	C₂²	1	2	yes	complemented
107	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
109	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
110	C₁₉×#419	C₂²	1	1	yes	characteristic, complemented
111	C₁₉×#418	C₂²	1	2	yes	complemented
112	C₁₉×#418	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#418	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#418	C₂²	1	1	yes	characteristic, complemented
115	C₁₉×#417	C₂²	1	2	yes	complemented
116	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
117	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
118	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₁₉	C₂³	1	2	yes	—
120	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
121	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
122	C₂²×D₄×C₁₉	—	2	2	no	—
123	C₂²×D₄×C₁₉	—	2	2	no	—
124	C₂²×D₄×C₁₉	—	2	2	no	—
125	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
130	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
131	C₂×SD₁₆×C₁₉	—	4	2	no	—
132	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
133	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
134	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
135	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
136	C₂×D₈×C₁₉	—	4	2	no	—
137	C₂×D₈×C₁₉	C₂³	1	2	yes	—
138	C₂×D₈×C₁₉	C₂³	1	2	yes	—
139	C₂×D₈×C₁₉	C₂³	1	2	yes	—
140	C₂×D₈×C₁₉	C₂³	1	2	yes	—
141	C₁₉×#131	—	4	2	no	—
142	C₂×M₁₆×C₁₉	—	4	2	no	—
143	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
144	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
145	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
146	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
148	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
153	C₁₉×C₄⋊Q₈	—	2	1	no	—
154	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₁₉×#127	—	2	1	no	—
156	C₁₉×#127	—	2	1	no	—
157	C₁₉×#127	—	2	1	no	—
158	C₁₉×#127	C₂³	1	2	yes	—
159	C₁₉×#126	—	2	2	no	—
160	C₁₉×#126	—	2	2	no	—
161	C₁₉×#126	—	2	2	no	—
162	C₁₉×#126	—	2	2	no	—
163	C₁₉×#126	—	2	2	no	—
164	C₁₉×#125	C₂³	1	2	yes	—
165	C₁₉×#124	—	2	1	no	—
166	C₁₉×#124	—	2	1	no	—
167	C₁₉×#124	—	2	1	no	—
168	C₁₉×#124	—	2	1	no	—
169	C₁₉×#124	—	2	2	no	—
170	C₁₉×#124	—	2	2	no	—
171	C₁₉×#124	—	2	2	no	—
172	C₁₉×#124	—	2	2	no	—
173	C₁₉×#124	—	2	2	no	—
174	C₁₉×#124	C₂³	1	2	yes	—
175	C₁₉×#123	—	2	1	no	—
176	C₁₉×#123	—	2	1	no	—
177	C₁₉×#123	—	2	2	no	—
178	C₁₉×#123	—	2	2	no	—
179	C₁₉×#123	—	2	2	no	—
180	C₁₉×#123	—	2	2	no	—
181	C₁₉×#123	—	2	2	no	—
182	C₁₉×#123	—	2	2	no	—
183	C₁₉×#123	—	2	2	no	—
184	C₁₉×#123	D₄	1	1	yes	characteristic
185	C₁₉×#123	D₄	1	1	yes	characteristic
186	C₁₉×C₂²⋊Q₈	—	2	2	no	—
187	C₁₉×C₂²⋊Q₈	—	2	2	no	—
188	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
189	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
190	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
192	C₁₉×#121	—	2	2	no	—
193	C₁₉×#121	—	2	2	no	—
194	C₁₉×#121	—	2	2	no	—
195	C₁₉×#121	—	2	2	no	—
196	C₁₉×#121	—	2	2	no	—
197	C₁₉×#121	—	2	2	no	—
198	C₁₉×#121	—	2	2	no	—
199	C₁₉×#121	—	2	2	no	—
200	C₁₉×#121	—	2	2	no	—
201	C₁₉×#121	—	2	2	no	—
202	C₁₉×#121	—	2	2	no	—
203	C₁₉×#121	D₄	1	2	yes	—
204	C₁₉×#121	C₂³	1	2	yes	—
205	C₁₉×#121	C₂³	1	2	yes	—
206	C₁₉×#121	C₂³	1	2	yes	—
207	C₁₉×#121	C₂³	1	2	yes	—
208	C₁₉×#121	C₂³	1	2	yes	—
209	C₁₉×#121	C₂³	1	2	yes	—
210	C₁₉×#121	C₂³	1	2	yes	—
211	C₁₉×#121	C₂³	1	2	yes	—
212	C₁₉×#121	C₂³	1	2	yes	—
213	C₁₉×#120	—	2	2	no	—
214	C₁₉×#120	—	2	1	no	—
215	C₁₉×#120	—	2	1	no	—
216	C₁₉×#120	—	2	1	no	—
217	C₁₉×#120	—	2	1	no	—
218	C₁₉×#120	—	2	1	no	—
219	C₁₉×#120	—	2	1	no	—
220	C₁₉×#120	—	2	2	no	—
221	C₁₉×#120	—	2	2	no	—
222	C₁₉×#120	—	2	2	no	—
223	C₁₉×#120	—	2	2	no	—
224	C₁₉×#120	—	2	2	no	—
225	C₁₉×#120	D₄	1	1	yes	characteristic
226	C₁₉×#120	D₄	1	1	yes	characteristic
227	C₄×Q₈×C₁₉	—	2	2	no	—
228	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
229	C₄×D₄×C₁₉	—	2	2	no	—
230	C₄×D₄×C₁₉	—	2	2	no	—
231	C₄×D₄×C₁₉	—	2	2	no	—
232	C₄×D₄×C₁₉	—	2	2	no	—
233	C₄×D₄×C₁₉	—	2	2	no	—
234	C₄×D₄×C₁₉	C₂³	1	2	yes	—
235	C₄×D₄×C₁₉	C₂³	1	2	yes	—
236	C₄×D₄×C₁₉	C₂³	1	2	yes	—
237	C₄×D₄×C₁₉	C₂³	1	2	yes	—
238	C₄×D₄×C₁₉	C₂³	1	2	yes	—
239	C₁₉×#117	—	2	2	no	—
240	C₁₉×#117	C₂³	1	1	yes	characteristic
241	C₁₉×#117	C₂³	1	1	yes	characteristic
242	C₁₉×#117	C₂³	1	1	yes	characteristic
243	C₁₉×#117	C₂³	1	2	yes	—
244	C₁₉×#117	C₂³	1	1	yes	characteristic
245	C₁₉×#117	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
247	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
248	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
249	C₁₉×#107	C₂³	1	2	yes	—
250	C₁₉×#107	C₂³	1	2	yes	—
251	C₁₉×#107	C₂³	1	2	yes	—
252	C₁₉×#107	C₂³	1	2	yes	—
253	C₁₉×#106	C₂³	1	2	yes	—
254	C₁₉×#106	C₂³	1	2	yes	—
255	C₁₉×#106	C₂³	1	2	yes	—
256	C₁₉×#106	C₂³	1	2	yes	—
257	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
258	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
259	C₁₉×#103	C₂³	1	2	yes	—
260	C₁₉×#103	C₂³	1	2	yes	—
261	C₁₉×#103	C₂³	1	2	yes	—
262	C₁₉×#103	C₂³	1	2	yes	—
263	C₁₉×#102	C₂³	1	2	yes	—
264	C₁₉×#102	C₂³	1	2	yes	—
265	C₁₉×#102	C₂³	1	2	yes	—
266	C₁₉×#102	C₂³	1	2	yes	—
267	C₁₉×#102	C₂³	1	2	yes	—
268	C₁₉×#102	C₂³	1	2	yes	—
269	C₁₉×#102	C₂³	1	2	yes	—
270	C₁₉×#102	C₂³	1	2	yes	—
271	C₁₉×#102	C₂³	1	2	yes	—
272	C₁₉×#102	C₂³	1	2	yes	—
273	C₁₉×#102	C₂³	1	2	yes	—
274	C₁₉×#102	C₂³	1	2	yes	—
275	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
276	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
277	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
279	C₁₉×#97	C₂³	1	2	yes	—
280	C₄×C₈×C₁₉	C₂³	1	2	yes	—
281	C₂⁴×C₁₉	—	2	2	no	—
282	C₂⁴×C₁₉	—	2	1	no	—
283	C₂⁴×C₁₉	—	2	1	no	—
284	C₂⁴×C₁₉	—	2	1	no	—
285	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
286	#41×C₁₉	—	4	1	no	—
287	#41×C₁₉	—	4	1	no	—
288	#41×C₁₉	—	4	2	no	—
289	#41×C₁₉	—	4	2	no	—
290	C₂×Q₈×C₁₉	—	2	2	no	—
291	C₂×Q₈×C₁₉	—	2	1	no	—
292	C₂×Q₈×C₁₉	—	4	1	no	—
293	C₂×Q₈×C₁₉	—	4	1	no	—
294	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
295	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
296	C₂×D₄×C₁₉	—	2	2	no	—
297	C₂×D₄×C₁₉	—	2	2	no	—
298	C₂×D₄×C₁₉	—	2	2	no	—
299	C₂×D₄×C₁₉	—	2	2	no	—
300	C₂×D₄×C₁₉	—	2	2	no	—
301	C₂×D₄×C₁₉	—	2	2	no	—
302	C₂×D₄×C₁₉	—	2	2	no	—
303	C₂×D₄×C₁₉	—	2	2	no	—
304	C₂×D₄×C₁₉	—	2	2	no	—
305	C₂×D₄×C₁₉	—	2	2	no	—
306	C₂×D₄×C₁₉	—	2	2	no	—
307	C₂×D₄×C₁₉	—	2	2	no	—
308	C₂×D₄×C₁₉	—	2	2	no	—
309	C₂×D₄×C₁₉	—	2	1	no	—
310	C₂×D₄×C₁₉	—	2	1	no	—
311	C₂×D₄×C₁₉	—	2	1	no	—
312	C₂×D₄×C₁₉	—	4	1	no	—
313	C₂×D₄×C₁₉	—	4	1	no	—
314	C₂×D₄×C₁₉	—	4	1	no	—
315	C₂×D₄×C₁₉	—	4	2	no	—
316	C₂×D₄×C₁₉	—	4	2	no	—
317	C₂×D₄×C₁₉	—	4	1	no	—
318	C₂×D₄×C₁₉	—	4	1	no	—
319	C₂×D₄×C₁₉	—	4	1	no	—
320	C₂×D₄×C₁₉	—	8	4	no	—
321	C₂×D₄×C₁₉	—	8	4	no	—
322	C₂×D₄×C₁₉	—	8	4	no	—
323	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
324	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
325	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
326	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
327	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
328	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
329	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
330	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₁₉	—	2	2	no	—
332	C₂²×C₄×C₁₉	—	2	1	no	—
333	C₂²×C₄×C₁₉	—	2	2	no	—
334	C₂²×C₄×C₁₉	—	2	2	no	—
335	C₂²×C₄×C₁₉	—	2	2	no	—
336	C₂²×C₄×C₁₉	—	2	2	no	—
337	C₂²×C₄×C₁₉	—	4	1	no	—
338	C₂²×C₄×C₁₉	—	4	1	no	—
339	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
340	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
341	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
345	SD₁₆×C₁₉	—	2	4	no	—
346	SD₁₆×C₁₉	—	4	2	no	—
347	SD₁₆×C₁₉	—	4	2	no	—
348	SD₁₆×C₁₉	—	4	2	no	—
349	D₈×C₁₉	—	2	4	no	—
350	D₈×C₁₉	—	4	2	no	—
351	D₈×C₁₉	—	4	2	no	—
352	D₈×C₁₉	—	4	2	no	—
353	M₁₆×C₁₉	—	2	4	no	—
354	M₁₆×C₁₉	—	4	2	no	—
355	M₁₆×C₁₉	—	4	1	no	—
356	M₁₆×C₁₉	—	4	1	no	—
357	M₁₆×C₁₉	—	4	1	no	—
358	M₁₆×C₁₉	—	4	1	no	—
359	C₂×C₈×C₁₉	—	2	2	no	—
360	C₂×C₈×C₁₉	—	2	2	no	—
361	C₂×C₈×C₁₉	—	2	2	no	—
362	C₂×C₈×C₁₉	—	4	1	no	—
363	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
364	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
366	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
368	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
369	C₄⋊C₄×C₁₉	—	2	2	no	—
370	C₄⋊C₄×C₁₉	—	2	2	no	—
371	C₄⋊C₄×C₁₉	—	2	2	no	—
372	C₄⋊C₄×C₁₉	—	2	2	no	—
373	C₄⋊C₄×C₁₉	—	2	2	no	—
374	C₄⋊C₄×C₁₉	—	2	2	no	—
375	C₄⋊C₄×C₁₉	—	2	2	no	—
376	C₄⋊C₄×C₁₉	—	2	2	no	—
377	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
378	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
379	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
380	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
381	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
382	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
383	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
384	C₂²⋊C₄×C₁₉	—	2	2	no	—
385	C₂²⋊C₄×C₁₉	—	2	1	no	—
386	C₂²⋊C₄×C₁₉	—	2	1	no	—
387	C₂²⋊C₄×C₁₉	—	2	1	no	—
388	C₂²⋊C₄×C₁₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₉	—	2	1	no	—
390	C₂²⋊C₄×C₁₉	—	2	2	no	—
391	C₂²⋊C₄×C₁₉	—	2	2	no	—
392	C₂²⋊C₄×C₁₉	—	2	2	no	—
393	C₂²⋊C₄×C₁₉	—	2	2	no	—
394	C₂²⋊C₄×C₁₉	—	2	2	no	—
395	C₂²⋊C₄×C₁₉	—	2	2	no	—
396	C₂²⋊C₄×C₁₉	—	2	2	no	—
397	C₂²⋊C₄×C₁₉	—	2	2	no	—
398	C₂²⋊C₄×C₁₉	—	2	2	no	—
399	C₂²⋊C₄×C₁₉	—	2	2	no	—
400	C₂²⋊C₄×C₁₉	—	2	2	no	—
401	C₂²⋊C₄×C₁₉	—	2	2	no	—
402	C₂²⋊C₄×C₁₉	—	2	2	no	—
403	C₂²⋊C₄×C₁₉	—	2	2	no	—
404	C₂²⋊C₄×C₁₉	—	2	2	no	—
405	C₂²⋊C₄×C₁₉	—	2	2	no	—
406	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
407	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
408	C₂²⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
409	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
410	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
411	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
412	C₄²×C₁₉	—	2	1	no	—
413	C₄²×C₁₉	—	2	2	no	—
414	C₄²×C₁₉	—	2	1	no	—
415	C₄²×C₁₉	—	2	1	no	—
416	C₄²×C₁₉	—	2	1	no	—
417	C₄²×C₁₉	—	2	2	no	—
418	C₄²×C₁₉	C₂⁴	1	2	yes	—
419	#62286	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
420	C₂³×C₁₉	—	2	2	no	—
421	C₂³×C₁₉	—	2	2	no	—
422	C₂³×C₁₉	—	2	2	no	—
423	C₂³×C₁₉	—	4	1	no	—
424	C₂³×C₁₉	—	4	2	no	—
425	C₂³×C₁₉	—	4	4	no	—
426	C₂³×C₁₉	—	8	2	no	—
427	C₂³×C₁₉	—	8	1	no	—
428	C₂³×C₁₉	—	8	1	no	—
429	C₂³×C₁₉	—	8	1	no	—
430	C₂³×C₁₉	—	8	2	no	—
431	C₂³×C₁₉	—	8	2	no	—
432	C₂³×C₁₉	—	8	2	no	—
433	C₂³×C₁₉	—	8	2	no	—
434	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
435	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
436	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
437	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
438	Q₈×C₁₉	—	2	2	no	—
439	Q₈×C₁₉	—	2	2	no	—
440	Q₈×C₁₉	—	4	1	no	—
441	Q₈×C₁₉	—	8	2	no	—
442	Q₈×C₁₉	—	8	1	no	—
443	D₄×C₁₉	—	2	2	no	—
444	D₄×C₁₉	—	2	2	no	—
445	D₄×C₁₉	—	2	2	no	—
446	D₄×C₁₉	—	2	2	no	—
447	D₄×C₁₉	—	2	2	no	—
448	D₄×C₁₉	—	2	2	no	—
449	D₄×C₁₉	—	4	2	no	—
450	D₄×C₁₉	—	4	2	no	—
451	D₄×C₁₉	—	4	1	no	—
452	D₄×C₁₉	—	4	1	no	—
453	D₄×C₁₉	—	4	1	no	—
454	D₄×C₁₉	—	4	4	no	—
455	D₄×C₁₉	—	4	4	no	—
456	D₄×C₁₉	—	8	2	no	—
457	D₄×C₁₉	—	8	1	no	—
458	D₄×C₁₉	—	8	1	no	—
459	D₄×C₁₉	—	8	1	no	—
460	D₄×C₁₉	—	8	2	no	—
461	D₄×C₁₉	—	8	2	no	—
462	D₄×C₁₉	—	8	2	no	—
463	D₄×C₁₉	—	8	2	no	—
464	D₄×C₁₉	—	8	2	no	—
465	D₄×C₁₉	—	8	2	no	—
466	D₄×C₁₉	—	8	2	no	—
467	D₄×C₁₉	—	8	2	no	—
468	D₄×C₁₉	—	8	2	no	—
469	D₄×C₁₉	—	8	2	no	—
470	C₂×C₄×C₁₉	—	2	1	no	—
471	C₂×C₄×C₁₉	—	2	1	no	—
472	C₂×C₄×C₁₉	—	2	1	no	—
473	C₂×C₄×C₁₉	—	2	2	no	—
474	C₂×C₄×C₁₉	—	2	1	no	—
475	C₂×C₄×C₁₉	—	2	2	no	—
476	C₂×C₄×C₁₉	—	2	1	no	—
477	C₂×C₄×C₁₉	—	2	1	no	—
478	C₂×C₄×C₁₉	—	2	2	no	—
479	C₂×C₄×C₁₉	—	2	2	no	—
480	C₂×C₄×C₁₉	—	2	2	no	—
481	C₂×C₄×C₁₉	—	2	2	no	—
482	C₂×C₄×C₁₉	—	2	2	no	—
483	C₂×C₄×C₁₉	—	4	1	no	—
484	C₂×C₄×C₁₉	—	4	2	no	—
485	C₂×C₄×C₁₉	—	8	2	no	—
486	C₂×C₄×C₁₉	—	8	2	no	—
487	C₂×C₄×C₁₉	—	8	2	no	—
488	C₂×C₄×C₁₉	—	8	2	no	—
489	C₂×C₄×C₁₉	—	8	2	no	—
490	C₂×C₄×C₁₉	—	8	1	no	—
491	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
492	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
493	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
496	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
497	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
498	C₈×C₁₉	—	2	1	no	—
499	C₈×C₁₉	—	2	1	no	—
500	C₈×C₁₉	—	2	1	no	—
501	C₈×C₁₉	—	2	2	no	—
502	C₈×C₁₉	—	2	2	no	—
503	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
504	#3540	C₂×C₁₉	1	1	yes	characteristic, complemented
505	#3537	C₂×C₁₉	1	1	yes	characteristic, complemented
506	#3350	C₂×C₁₉	1	2	yes	complemented
507	#3347	C₂×C₁₉	1	2	yes	complemented
508	#3326	C₂×C₁₉	1	2	yes	complemented
509	#3325	C₂×C₁₉	1	2	yes	complemented
510	#3324	C₂×C₁₉	1	2	yes	complemented
511	#3322	C₂×C₁₉	1	2	yes	complemented
512	#3265	C₂×C₁₉	1	2	yes	complemented
513	#3264	C₂×C₁₉	1	2	yes	complemented
514	#3257	C₂×C₁₉	1	2	yes	complemented
515	#3200	C₂×C₁₉	1	1	yes	characteristic, complemented
516	#3199	C₂×C₁₉	1	1	yes	characteristic, complemented
517	#3194	C₂×C₁₉	1	2	yes	complemented
518	#3179	C₂×C₁₉	1	2	yes	complemented
519	#3058	C₂×C₁₉	1	1	yes	characteristic, complemented
520	#3057	C₂×C₁₉	1	1	yes	characteristic, complemented
521	#3055	C₂×C₁₉	1	2	yes	complemented
522	#2930	C₂×C₁₉	1	1	yes	characteristic, complemented
523	C₂²×C₁₉	—	2	2	no	—
524	C₂²×C₁₉	—	2	2	no	—
525	C₂²×C₁₉	—	2	2	no	—
526	C₂²×C₁₉	—	2	2	no	—
527	C₂²×C₁₉	—	2	2	no	—
528	C₂²×C₁₉	—	2	1	no	—
529	C₂²×C₁₉	—	2	2	no	—
530	C₂²×C₁₉	—	2	1	no	—
531	C₂²×C₁₉	—	2	1	no	—
532	C₂²×C₁₉	—	4	2	no	—
533	C₂²×C₁₉	—	4	2	no	—
534	C₂²×C₁₉	—	4	2	no	—
535	C₂²×C₁₉	—	4	2	no	—
536	C₂²×C₁₉	—	4	2	no	—
537	C₂²×C₁₉	—	4	2	no	—
538	C₂²×C₁₉	—	4	2	no	—
539	C₂²×C₁₉	—	4	2	no	—
540	C₂²×C₁₉	—	4	2	no	—
541	C₂²×C₁₉	—	8	2	no	—
542	C₂²×C₁₉	—	16	4	no	—
543	C₂²×C₁₉	—	16	2	no	—
544	C₂²×C₁₉	—	16	2	no	—
545	C₂²×C₁₉	—	16	2	no	—
546	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
547	C₄×C₁₉	—	2	2	no	—
548	C₄×C₁₉	—	2	2	no	—
549	C₄×C₁₉	—	2	2	no	—
550	C₄×C₁₉	—	2	1	no	—
551	C₄×C₁₉	—	2	1	no	—
552	C₄×C₁₉	—	2	1	no	—
553	C₄×C₁₉	—	4	2	no	—
554	C₄×C₁₉	—	4	2	no	—
555	C₄×C₁₉	—	4	2	no	—
556	C₄×C₁₉	—	4	2	no	—
557	C₄×C₁₉	—	4	2	no	—
558	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
559	C₄×C₁₉	#585	1	1	yes	characteristic
560	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
561	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
562	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
563	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
564	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
565	H(3,𝔽₄)	—	2	1	no	—
566	#560	—	2	1	no	—
567	#560	—	2	1	no	—
568	#560	—	2	1	no	—
569	#559	—	2	1	no	—
570	#556	C₂²×C₁₉	1	2	yes	complemented
571	#555	C₂²×C₁₉	1	2	yes	complemented
572	#553	C₂²×C₁₉	1	2	yes	—
573	#553	C₂²×C₁₉	1	2	yes	complemented
574	#551	—	2	1	no	—
575	#548	C₂²×C₁₉	1	2	yes	complemented
576	#546	C₂²×C₁₉	1	2	yes	complemented
577	D₄²	—	2	1	no	—
578	D₄²	—	2	1	no	—
579	D₄²	C₂²×C₁₉	1	2	yes	—
580	D₄²	C₂²×C₁₉	1	2	yes	complemented
581	#542	—	2	2	no	—
582	#542	C₂²×C₁₉	1	2	yes	complemented
583	#540	C₂²×C₁₉	1	2	yes	complemented
584	#538	—	2	2	no	—
585	#538	—	2	2	no	—
586	#536	C₂²×C₁₉	1	1	yes	characteristic, complemented
587	#535	C₂²×C₁₉	1	1	yes	characteristic
588	#535	C₂²×C₁₉	1	1	yes	characteristic
589	#535	C₂²×C₁₉	1	1	yes	characteristic, complemented
590	#534	—	2	2	no	—
591	#525	C₂²×C₁₉	1	1	yes	characteristic
592	#525	C₂²×C₁₉	1	2	yes	complemented
593	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
594	#501	C₂²×C₁₉	1	2	yes	complemented
595	#496	C₂²×C₁₉	1	2	yes	complemented
596	#488	C₂²×C₁₉	1	2	yes	complemented
597	#486	C₂²×C₁₉	1	2	yes	complemented
598	#485	C₂²×C₁₉	1	2	yes	complemented
599	#483	C₂²×C₁₉	1	2	yes	complemented
600	#482	C₂²×C₁₉	1	2	yes	complemented
601	#482	C₂²×C₁₉	1	2	yes	complemented
602	#482	C₂²×C₁₉	1	2	yes	complemented
603	#482	C₂²×C₁₉	1	2	yes	complemented
604	#482	C₂²×C₁₉	1	2	yes	complemented
605	#480	C₂²×C₁₉	1	2	yes	complemented
606	#479	C₂²×C₁₉	1	2	yes	complemented
607	#478	C₂²×C₁₉	1	2	yes	complemented
608	#476	C₂²×C₁₉	1	2	yes	complemented
609	#474	C₂²×C₁₉	1	2	yes	complemented
610	#469	C₂²×C₁₉	1	2	yes	complemented
611	#469	C₂²×C₁₉	1	2	yes	complemented
612	#469	C₂²×C₁₉	1	2	yes	complemented
613	#469	C₂²×C₁₉	1	2	yes	complemented
614	#469	C₂²×C₁₉	1	2	yes	complemented
615	#468	C₂²×C₁₉	1	2	yes	complemented
616	#468	C₂²×C₁₉	1	2	yes	complemented
617	#468	C₂²×C₁₉	1	2	yes	complemented
618	#468	C₂²×C₁₉	1	2	yes	complemented
619	#468	C₂²×C₁₉	1	2	yes	complemented
620	#466	C₂²×C₁₉	1	2	yes	complemented
621	#466	C₂²×C₁₉	1	2	yes	complemented
622	#466	C₂²×C₁₉	1	2	yes	complemented
623	#465	C₂²×C₁₉	1	2	yes	complemented
624	#465	C₂²×C₁₉	1	2	yes	complemented
625	#465	C₂²×C₁₉	1	2	yes	complemented
626	#463	C₂²×C₁₉	1	2	yes	complemented
627	#463	C₂²×C₁₉	1	2	yes	complemented
628	#460	C₂²×C₁₉	1	2	yes	complemented
629	#459	C₂²×C₁₉	1	2	yes	complemented
630	#450	C₂²×C₁₉	1	2	yes	complemented
631	#450	C₂²×C₁₉	1	2	yes	complemented
632	#449	C₂²×C₁₉	1	2	yes	complemented
633	#449	C₂²×C₁₉	1	2	yes	complemented
634	#448	C₂²×C₁₉	1	2	yes	complemented
635	#447	C₂²×C₁₉	1	2	yes	complemented
636	#447	C₂²×C₁₉	1	2	yes	complemented
637	#447	C₂²×C₁₉	1	2	yes	complemented
638	#442	C₂²×C₁₉	1	2	yes	complemented
639	#440	C₂²×C₁₉	1	2	yes	complemented
640	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
641	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
642	#436	C₂²×C₁₉	1	2	yes	complemented
643	#436	C₂²×C₁₉	1	2	yes	complemented
644	#435	C₂²×C₁₉	1	2	yes	complemented
645	#435	C₂²×C₁₉	1	2	yes	complemented
646	#428	C₂²×C₁₉	1	2	yes	complemented
647	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
648	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
649	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
650	#419	C₂²×C₁₉	1	1	yes	characteristic, complemented
651	#418	C₂²×C₁₉	1	2	yes	complemented
652	#418	C₂²×C₁₉	1	1	yes	characteristic, complemented
653	#418	C₂²×C₁₉	1	1	yes	characteristic, complemented
654	#418	C₂²×C₁₉	1	1	yes	characteristic, complemented
655	#417	C₂²×C₁₉	1	2	yes	complemented
656	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
657	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
658	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
659	C₂×C₁₉	—	4	1	no	—
660	C₂×C₁₉	—	4	2	no	—
661	C₂×C₁₉	—	4	1	no	—
662	C₂×C₁₉	—	4	1	no	—
663	C₂×C₁₉	—	8	2	no	—
664	C₂×C₁₉	—	8	2	no	—
665	C₂×C₁₉	—	8	2	no	—
666	C₂×C₁₉	#3496	1	1	yes	characteristic
667	C₂×C₁₉	#3585	1	2	yes	—
668	C₂×#41	C₂³×C₁₉	1	2	yes	—
669	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
670	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
671	C₂²×D₄	—	2	2	no	—
672	C₂²×D₄	—	2	2	no	—
673	C₂²×D₄	—	2	2	no	—
674	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
675	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
676	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
677	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
678	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
679	AGL(1,ℤ/8)	—	4	4	no	—
680	C₂×SD₁₆	—	4	2	no	—
681	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
682	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
683	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
684	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
685	C₂×D₈	—	4	2	no	—
686	C₂×D₈	C₂³×C₁₉	1	2	yes	—
687	C₂×D₈	C₂³×C₁₉	1	2	yes	—
688	C₂×D₈	C₂³×C₁₉	1	2	yes	—
689	C₂×D₈	C₂³×C₁₉	1	2	yes	—
690	#131	—	4	2	no	—
691	C₂×M₁₆	—	4	2	no	—
692	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
693	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
694	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
695	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
696	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
697	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
698	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
699	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
700	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
701	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
702	C₄⋊Q₈	—	2	1	no	—
703	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
704	#127	—	2	1	no	—
705	#127	—	2	1	no	—
706	#127	—	2	1	no	—
707	#127	C₂³×C₁₉	1	2	yes	—
708	#126	—	2	2	no	—
709	#126	—	2	2	no	—
710	#126	—	2	2	no	—
711	#126	—	2	2	no	—
712	#126	—	2	2	no	—
713	#125	C₂³×C₁₉	1	2	yes	—
714	#124	—	2	1	no	—
715	#124	—	2	1	no	—
716	#124	—	2	1	no	—
717	#124	—	2	1	no	—
718	#124	—	2	2	no	—
719	#124	—	2	2	no	—
720	#124	—	2	2	no	—
721	#124	—	2	2	no	—
722	#124	—	2	2	no	—
723	#124	C₂³×C₁₉	1	2	yes	—
724	#123	—	2	1	no	—
725	#123	—	2	1	no	—
726	#123	—	2	2	no	—
727	#123	—	2	2	no	—
728	#123	—	2	2	no	—
729	#123	—	2	2	no	—
730	#123	—	2	2	no	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	#123	D₄×C₁₉	1	1	yes	characteristic
734	#123	D₄×C₁₉	1	1	yes	characteristic
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
738	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
739	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
740	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
741	#121	—	2	2	no	—
742	#121	—	2	2	no	—
743	#121	—	2	2	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	—	2	2	no	—
748	#121	—	2	2	no	—
749	#121	—	2	2	no	—
750	#121	—	2	2	no	—
751	#121	—	2	2	no	—
752	#121	D₄×C₁₉	1	2	yes	—
753	#121	C₂³×C₁₉	1	2	yes	—
754	#121	C₂³×C₁₉	1	2	yes	—
755	#121	C₂³×C₁₉	1	2	yes	—
756	#121	C₂³×C₁₉	1	2	yes	—
757	#121	C₂³×C₁₉	1	2	yes	—
758	#121	C₂³×C₁₉	1	2	yes	—
759	#121	C₂³×C₁₉	1	2	yes	—
760	#121	C₂³×C₁₉	1	2	yes	—
761	#121	C₂³×C₁₉	1	2	yes	—
762	#120	—	2	2	no	—
763	#120	—	2	1	no	—
764	#120	—	2	1	no	—
765	#120	—	2	1	no	—
766	#120	—	2	1	no	—
767	#120	—	2	1	no	—
768	#120	—	2	1	no	—
769	#120	—	2	2	no	—
770	#120	—	2	2	no	—
771	#120	—	2	2	no	—
772	#120	—	2	2	no	—
773	#120	—	2	2	no	—
774	#120	D₄×C₁₉	1	1	yes	characteristic
775	#120	D₄×C₁₉	1	1	yes	characteristic
776	C₄×Q₈	—	2	2	no	—
777	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
778	C₄×D₄	—	2	2	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	2	no	—
781	C₄×D₄	—	2	2	no	—
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	C₂³×C₁₉	1	2	yes	—
784	C₄×D₄	C₂³×C₁₉	1	2	yes	—
785	C₄×D₄	C₂³×C₁₉	1	2	yes	—
786	C₄×D₄	C₂³×C₁₉	1	2	yes	—
787	C₄×D₄	C₂³×C₁₉	1	2	yes	—
788	#117	—	2	2	no	—
789	#117	C₂³×C₁₉	1	2	yes	—
790	#117	C₂³×C₁₉	1	1	yes	characteristic
791	#117	C₂³×C₁₉	1	1	yes	characteristic
792	#117	C₂³×C₁₉	1	1	yes	characteristic
793	#117	C₂³×C₁₉	1	1	yes	characteristic
794	#117	C₂³×C₁₉	1	1	yes	characteristic
795	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
796	C₂×C₂²⋊C₄	—	2	2	no	—
797	C₂×C₂²⋊C₄	—	2	2	no	—
798	#107	C₂³×C₁₉	1	2	yes	—
799	#107	C₂³×C₁₉	1	2	yes	—
800	#107	C₂³×C₁₉	1	2	yes	—
801	#107	C₂³×C₁₉	1	2	yes	—
802	#106	C₂³×C₁₉	1	2	yes	—
803	#106	C₂³×C₁₉	1	2	yes	—
804	#106	C₂³×C₁₉	1	2	yes	—
805	#106	C₂³×C₁₉	1	2	yes	—
806	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
807	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
808	#103	C₂³×C₁₉	1	2	yes	—
809	#103	C₂³×C₁₉	1	2	yes	—
810	#103	C₂³×C₁₉	1	2	yes	—
811	#103	C₂³×C₁₉	1	2	yes	—
812	#102	C₂³×C₁₉	1	2	yes	—
813	#102	C₂³×C₁₉	1	2	yes	—
814	#102	C₂³×C₁₉	1	2	yes	—
815	#102	C₂³×C₁₉	1	2	yes	—
816	#102	C₂³×C₁₉	1	2	yes	—
817	#102	C₂³×C₁₉	1	2	yes	—
818	#102	C₂³×C₁₉	1	2	yes	—
819	#102	C₂³×C₁₉	1	2	yes	—
820	#102	C₂³×C₁₉	1	2	yes	—
821	#102	C₂³×C₁₉	1	2	yes	—
822	#102	C₂³×C₁₉	1	2	yes	—
823	#102	C₂³×C₁₉	1	2	yes	—
824	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
825	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
826	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
827	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
828	#97	C₂³×C₁₉	1	2	yes	—
829	C₄×C₈	C₂³×C₁₉	1	2	yes	—
830	C₁₉	#62286	1	1	yes	characteristic, direct product factor, Sylow
831	C₂⁴	—	2	2	no	—
832	C₂⁴	—	2	1	no	—
833	C₂⁴	—	2	1	no	—
834	C₂⁴	—	2	1	no	—
835	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
836	#41	—	4	1	no	—
837	#41	—	4	1	no	—
838	#41	—	4	2	no	—
839	#41	—	4	2	no	—
840	C₂×Q₈	—	2	2	no	—
841	C₂×Q₈	—	2	1	no	—
842	C₂×Q₈	—	4	1	no	—
843	C₂×Q₈	—	4	1	no	—
844	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
845	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	2	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	2	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	1	no	—
860	C₂×D₄	—	2	1	no	—
861	C₂×D₄	—	2	1	no	—
862	C₂×D₄	—	4	1	no	—
863	C₂×D₄	—	4	1	no	—
864	C₂×D₄	—	4	1	no	—
865	C₂×D₄	—	4	2	no	—
866	C₂×D₄	—	4	2	no	—
867	C₂×D₄	—	4	1	no	—
868	C₂×D₄	—	4	1	no	—
869	C₂×D₄	—	4	1	no	—
870	C₂×D₄	—	8	4	no	—
871	C₂×D₄	—	8	4	no	—
872	C₂×D₄	—	8	4	no	—
873	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
874	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
875	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
876	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
877	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
878	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
879	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
880	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	4	1	no	—
888	C₂²×C₄	—	4	1	no	—
889	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
890	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
892	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
893	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
894	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
895	SD₁₆	—	2	4	no	—
896	SD₁₆	—	4	2	no	—
897	SD₁₆	—	4	2	no	—
898	SD₁₆	—	4	2	no	—
899	D₈	—	2	4	no	—
900	D₈	—	4	2	no	—
901	D₈	—	4	2	no	—
902	D₈	—	4	2	no	—
903	M₁₆	—	2	4	no	—
904	M₁₆	—	4	2	no	—
905	M₁₆	—	4	1	no	—
906	M₁₆	—	4	1	no	—
907	M₁₆	—	4	1	no	—
908	M₁₆	—	4	1	no	—
909	C₂×C₈	—	2	2	no	—
910	C₂×C₈	—	2	2	no	—
911	C₂×C₈	—	2	2	no	—
912	C₂×C₈	—	4	1	no	—
913	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
914	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
915	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
916	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
917	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
918	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
928	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
929	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
930	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
931	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
932	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
933	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	1	no	—
936	C₂²⋊C₄	—	2	1	no	—
937	C₂²⋊C₄	—	2	1	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	1	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	2	no	—
945	C₂²⋊C₄	—	2	2	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	2	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
957	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
958	C₂²⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
959	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
960	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
961	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
962	C₄²	—	2	1	no	—
963	C₄²	—	2	2	no	—
964	C₄²	—	2	1	no	—
965	C₄²	—	2	1	no	—
966	C₄²	—	2	1	no	—
967	C₄²	—	2	2	no	—
968	C₄²	C₂⁴×C₁₉	1	2	yes	—
969	C₂³	—	2	2	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	4	1	no	—
973	C₂³	—	4	2	no	—
974	C₂³	—	4	4	no	—
975	C₂³	—	8	2	no	—
976	C₂³	—	8	1	no	—
977	C₂³	—	8	1	no	—
978	C₂³	—	8	1	no	—
979	C₂³	—	8	2	no	—
980	C₂³	—	8	2	no	—
981	C₂³	—	8	2	no	—
982	C₂³	—	8	2	no	—
983	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
984	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
985	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
986	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
987	Q₈	—	2	2	no	—
988	Q₈	—	2	2	no	—
989	Q₈	—	4	1	no	—
990	Q₈	—	8	1	no	—
991	Q₈	—	8	2	no	—
992	D₄	—	2	2	no	—
993	D₄	—	2	2	no	—
994	D₄	—	2	2	no	—
995	D₄	—	2	2	no	—
996	D₄	—	2	2	no	—
997	D₄	—	2	2	no	—
998	D₄	—	4	2	no	—
999	D₄	—	4	2	no	—
1000	D₄	—	4	1	no	—
1001	D₄	—	4	1	no	—
1002	D₄	—	4	1	no	—
1003	D₄	—	4	4	no	—
1004	D₄	—	4	4	no	—
1005	D₄	—	8	2	no	—
1006	D₄	—	8	1	no	—
1007	D₄	—	8	1	no	—
1008	D₄	—	8	1	no	—
1009	D₄	—	8	2	no	—
1010	D₄	—	8	2	no	—
1011	D₄	—	8	2	no	—
1012	D₄	—	8	2	no	—
1013	D₄	—	8	2	no	—
1014	D₄	—	8	2	no	—
1015	D₄	—	8	2	no	—
1016	D₄	—	8	2	no	—
1017	D₄	—	8	2	no	—
1018	D₄	—	8	2	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	4	2	no	—
1034	C₂×C₄	—	8	2	no	—
1035	C₂×C₄	—	8	2	no	—
1036	C₂×C₄	—	8	2	no	—
1037	C₂×C₄	—	8	2	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	1	no	—
1040	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1041	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1042	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1043	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1044	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1045	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1046	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1047	C₈	—	2	1	no	—
1048	C₈	—	2	1	no	—
1049	C₈	—	2	1	no	—
1050	C₈	—	2	2	no	—
1051	C₈	—	2	2	no	—
1052	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1053	C₂²	—	2	1	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	1	no	—
1056	C₂²	—	2	1	no	—
1057	C₂²	—	2	2	no	—
1058	C₂²	—	2	2	no	—
1059	C₂²	—	2	2	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	4	2	no	—
1063	C₂²	—	4	2	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	8	2	no	—
1072	C₂²	—	16	4	no	—
1073	C₂²	—	16	2	no	—
1074	C₂²	—	16	2	no	—
1075	C₂²	—	16	2	no	—
1076	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1077	C₄	—	2	2	no	—
1078	C₄	—	2	1	no	—
1079	C₄	—	2	1	no	—
1080	C₄	—	2	1	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	2	2	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	2	no	—
1087	C₄	—	4	2	no	—
1088	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1089	C₄	C₁₉×#585	1	1	yes	characteristic
1090	C₂	—	4	2	no	—
1091	C₂	—	4	1	no	—
1092	C₂	—	4	1	no	—
1093	C₂	—	4	1	no	—
1094	C₂	—	8	2	no	—
1095	C₂	—	8	2	no	—
1096	C₂	—	8	2	no	—
1097	C₂	C₁₉×#3496	1	1	yes	characteristic
1098	C₂	C₁₉×#3585	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×#3537	C₂	semidirect
3. C₁₉×#3350	C₂	semidirect
4. C₁₉×#3347	C₂	semidirect
5. C₁₉×#3326	C₂	semidirect
6. C₁₉×#3325	C₂	semidirect
7. C₁₉×#3324	C₂	semidirect
8. C₁₉×#3322	C₂	semidirect
9. C₁₉×#3265	C₂	semidirect
10. C₁₉×#3264	C₂	semidirect
11. C₁₉×#3257	C₂	semidirect
12. C₁₉×#3200	C₂	semidirect
13. C₁₉×#3199	C₂	semidirect
14. C₁₉×#3194	C₂	semidirect
15. C₁₉×#3179	C₂	semidirect
16. C₁₉×#3058	C₂	semidirect
17. C₁₉×#3057	C₂	semidirect
18. C₁₉×#3055	C₂	semidirect
19. C₁₉×#2930	C₂	semidirect
20. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂²×SD₁₆×C₁₉	C₂²	semidirect
22. C₂²×D₈×C₁₉	C₂²	semidirect
23. C₂×C₁₉×#131	C₂²	semidirect
24. C₂²×M₁₆×C₁₉	C₂²	semidirect
30. C₁₉×#556	C₂²	semidirect
31. C₁₉×#555	C₂²	semidirect
33. C₁₉×#553	C₂²	semidirect
35. C₁₉×#548	C₂²	semidirect
36. C₁₉×#546	C₂²	semidirect
40. D₄²×C₁₉	C₂²	semidirect
42. C₁₉×#542	C₂²	semidirect
43. C₁₉×#540	C₂²	semidirect
46. C₁₉×#536	C₂²	semidirect
49. C₁₉×#535	C₂²	semidirect
52. C₁₉×#525	C₂²	semidirect
53. C₂×C₁₉×#121	C₂²	semidirect
54. C₁₉×#501	C₂²	semidirect
55. C₁₉×#496	C₂²	semidirect
56. C₁₉×#488	C₂²	semidirect
57. C₁₉×#486	C₂²	semidirect
58. C₁₉×#485	C₂²	semidirect
59. C₁₉×#483	C₂²	semidirect
60. C₁₉×#482	C₂²	semidirect
61. C₁₉×#482	C₂²	semidirect
62. C₁₉×#482	C₂²	semidirect
63. C₁₉×#482	C₂²	semidirect
64. C₁₉×#482	C₂²	semidirect
65. C₁₉×#480	C₂²	semidirect
66. C₁₉×#479	C₂²	semidirect
67. C₁₉×#478	C₂²	semidirect
68. C₁₉×#476	C₂²	semidirect
69. C₁₉×#474	C₂²	semidirect
70. C₁₉×#469	C₂²	semidirect
71. C₁₉×#469	C₂²	semidirect
72. C₁₉×#469	C₂²	semidirect
73. C₁₉×#469	C₂²	semidirect
74. C₁₉×#469	C₂²	semidirect
75. C₁₉×#468	C₂²	semidirect
76. C₁₉×#468	C₂²	semidirect
77. C₁₉×#468	C₂²	semidirect
78. C₁₉×#468	C₂²	semidirect
79. C₁₉×#468	C₂²	semidirect
80. C₁₉×#466	C₂²	semidirect
81. C₁₉×#466	C₂²	semidirect
82. C₁₉×#466	C₂²	semidirect
83. C₁₉×#465	C₂²	semidirect
84. C₁₉×#465	C₂²	semidirect
85. C₁₉×#465	C₂²	semidirect
86. C₁₉×#463	C₂²	semidirect
87. C₁₉×#463	C₂²	semidirect
88. C₁₉×#460	C₂²	semidirect
89. C₁₉×#459	C₂²	semidirect
90. C₁₉×#450	C₂²	semidirect
91. C₁₉×#450	C₂²	semidirect
92. C₁₉×#449	C₂²	semidirect
93. C₁₉×#449	C₂²	semidirect
94. C₁₉×#448	C₂²	semidirect
95. C₁₉×#447	C₂²	semidirect
96. C₁₉×#447	C₂²	semidirect
97. C₁₉×#447	C₂²	semidirect
98. C₁₉×#442	C₂²	semidirect
99. C₁₉×#440	C₂²	semidirect
100. C₄×SD₁₆×C₁₉	C₂²	semidirect
101. C₄×D₈×C₁₉	C₂²	semidirect
102. C₁₉×#436	C₂²	semidirect
103. C₁₉×#436	C₂²	semidirect
104. C₁₉×#435	C₂²	semidirect
105. C₁₉×#435	C₂²	semidirect
106. C₁₉×#428	C₂²	semidirect
107. C₁₉×#427	C₂²	semidirect
108. C₁₉×#427	C₂²	semidirect
109. C₁₉×#424	C₂²	semidirect
110. C₁₉×#419	C₂²	semidirect
111. C₁₉×#418	C₂²	semidirect
112. C₁₉×#418	C₂²	semidirect
113. C₁₉×#418	C₂²	semidirect
114. C₁₉×#418	C₂²	semidirect
115. C₁₉×#417	C₂²	semidirect
116. C₁₉×#408	C₂²	semidirect
117. C₁₉×#407	C₂²	semidirect
118. C₁₉×#405	C₂²	semidirect
419. #62286	C₁₉	direct (N × H)
504. #3540	C₂×C₁₉	semidirect
505. #3537	C₂×C₁₉	semidirect
506. #3350	C₂×C₁₉	semidirect
507. #3347	C₂×C₁₉	semidirect
508. #3326	C₂×C₁₉	semidirect
509. #3325	C₂×C₁₉	semidirect
510. #3324	C₂×C₁₉	semidirect
511. #3322	C₂×C₁₉	semidirect
512. #3265	C₂×C₁₉	semidirect
513. #3264	C₂×C₁₉	semidirect
514. #3257	C₂×C₁₉	semidirect
515. #3200	C₂×C₁₉	semidirect
516. #3199	C₂×C₁₉	semidirect
517. #3194	C₂×C₁₉	semidirect
518. #3179	C₂×C₁₉	semidirect
519. #3058	C₂×C₁₉	semidirect
520. #3057	C₂×C₁₉	semidirect
521. #3055	C₂×C₁₉	semidirect
522. #2930	C₂×C₁₉	semidirect
560. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
561. C₂²×SD₁₆	C₂²×C₁₉	semidirect
562. C₂²×D₈	C₂²×C₁₉	semidirect
563. C₂×#131	C₂²×C₁₉	semidirect
564. C₂²×M₁₆	C₂²×C₁₉	semidirect
570. #556	C₂²×C₁₉	semidirect
571. #555	C₂²×C₁₉	semidirect
573. #553	C₂²×C₁₉	semidirect
575. #548	C₂²×C₁₉	semidirect
576. #546	C₂²×C₁₉	semidirect
580. D₄²	C₂²×C₁₉	semidirect
582. #542	C₂²×C₁₉	semidirect
583. #540	C₂²×C₁₉	semidirect
586. #536	C₂²×C₁₉	semidirect
589. #535	C₂²×C₁₉	semidirect
592. #525	C₂²×C₁₉	semidirect
593. C₂×#121	C₂²×C₁₉	semidirect
594. #501	C₂²×C₁₉	semidirect
595. #496	C₂²×C₁₉	semidirect
596. #488	C₂²×C₁₉	semidirect
597. #486	C₂²×C₁₉	semidirect
598. #485	C₂²×C₁₉	semidirect
599. #483	C₂²×C₁₉	semidirect
600. #482	C₂²×C₁₉	semidirect
601. #482	C₂²×C₁₉	semidirect
602. #482	C₂²×C₁₉	semidirect
603. #482	C₂²×C₁₉	semidirect
604. #482	C₂²×C₁₉	semidirect
605. #480	C₂²×C₁₉	semidirect
606. #479	C₂²×C₁₉	semidirect
607. #478	C₂²×C₁₉	semidirect
608. #476	C₂²×C₁₉	semidirect
609. #474	C₂²×C₁₉	semidirect
610. #469	C₂²×C₁₉	semidirect
611. #469	C₂²×C₁₉	semidirect
612. #469	C₂²×C₁₉	semidirect
613. #469	C₂²×C₁₉	semidirect
614. #469	C₂²×C₁₉	semidirect
615. #468	C₂²×C₁₉	semidirect
616. #468	C₂²×C₁₉	semidirect
617. #468	C₂²×C₁₉	semidirect
618. #468	C₂²×C₁₉	semidirect
619. #468	C₂²×C₁₉	semidirect
620. #466	C₂²×C₁₉	semidirect
621. #466	C₂²×C₁₉	semidirect
622. #466	C₂²×C₁₉	semidirect
623. #465	C₂²×C₁₉	semidirect
624. #465	C₂²×C₁₉	semidirect
625. #465	C₂²×C₁₉	semidirect
626. #463	C₂²×C₁₉	semidirect
627. #463	C₂²×C₁₉	semidirect
628. #460	C₂²×C₁₉	semidirect
629. #459	C₂²×C₁₉	semidirect
630. #450	C₂²×C₁₉	semidirect
631. #450	C₂²×C₁₉	semidirect
632. #449	C₂²×C₁₉	semidirect
633. #449	C₂²×C₁₉	semidirect
634. #448	C₂²×C₁₉	semidirect
635. #447	C₂²×C₁₉	semidirect
636. #447	C₂²×C₁₉	semidirect
637. #447	C₂²×C₁₉	semidirect
638. #442	C₂²×C₁₉	semidirect
639. #440	C₂²×C₁₉	semidirect
640. C₄×SD₁₆	C₂²×C₁₉	semidirect
641. C₄×D₈	C₂²×C₁₉	semidirect
642. #436	C₂²×C₁₉	semidirect
643. #436	C₂²×C₁₉	semidirect
644. #435	C₂²×C₁₉	semidirect
645. #435	C₂²×C₁₉	semidirect
646. #428	C₂²×C₁₉	semidirect
647. #427	C₂²×C₁₉	semidirect
648. #427	C₂²×C₁₉	semidirect
649. #424	C₂²×C₁₉	semidirect
650. #419	C₂²×C₁₉	semidirect
651. #418	C₂²×C₁₉	semidirect
652. #418	C₂²×C₁₉	semidirect
653. #418	C₂²×C₁₉	semidirect
654. #418	C₂²×C₁₉	semidirect
655. #417	C₂²×C₁₉	semidirect
656. #408	C₂²×C₁₉	semidirect
657. #407	C₂²×C₁₉	semidirect
658. #405	C₂²×C₁₉	semidirect
830. C₁₉	#62286	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×#3537	2
C₁₉×#3350	2
C₁₉×#3347	2
C₁₉×#3326	2
C₁₉×#3325	2
C₁₉×#3324	2
C₁₉×#3322	2
C₁₉×#3265	2
C₁₉×#3264	2
C₁₉×#3257	2
C₁₉×#3200	2
C₁₉×#3199	2
C₁₉×#3194	2
C₁₉×#3179	2
C₁₉×#3058	2
C₁₉×#3057	2
C₁₉×#3055	2
C₁₉×#2930	2
#62286	19

Subgroups — C19×#62286 #18068245

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62286 #18068245