Subgroups — C₁₉×#62405 #18068364

Order 4864.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1148 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3548	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3399	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3391	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3389	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3384	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3381	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3370	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3368	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3366	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3366	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3361	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3259	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3257	C₂	1	2	yes	maximal, complemented
17	C₁₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3245	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3184	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3179	C₂	1	2	yes	maximal, complemented
21	C₁₉×#3176	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3171	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#2962	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₉×#562	—	2	2	no	—
25	C₁₉×#562	—	2	2	no	—
26	C₁₉×#559	C₂²	1	1	yes	characteristic
27	C₁₉×#559	C₂²	1	2	yes	—
28	C₁₉×#557	C₂²	1	1	yes	characteristic
29	C₁₉×#554	C₂²	1	1	yes	characteristic
30	C₁₉×#554	C₂²	1	1	yes	characteristic
31	C₁₉×#554	C₂²	1	2	yes	—
32	C₁₉×#554	C₂²	1	2	yes	—
33	C₁₉×#550	C₂²	1	1	yes	characteristic
34	C₁₉×#550	C₂²	1	2	yes	—
35	C₁₉×#550	C₂²	1	1	yes	characteristic
36	C₁₉×#550	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
38	C₁₉×#548	—	2	1	no	—
39	C₁₉×#547	—	2	1	no	—
40	C₁₉×#547	—	2	1	no	—
41	C₁₉×#547	—	2	1	no	—
42	C₁₉×#542	—	2	1	no	—
43	C₁₉×#542	C₂²	1	2	yes	—
44	C₁₉×#540	C₂²	1	2	yes	—
45	C₁₉×#540	C₂²	1	2	yes	—
46	C₁₉×#540	C₂²	1	2	yes	—
47	C₁₉×#539	—	2	2	no	—
48	C₁₉×#537	—	2	1	no	—
49	C₁₉×#537	—	2	1	no	—
50	C₁₉×#537	—	2	2	no	—
51	C₁₉×#536	—	2	1	no	—
52	C₁₉×#533	C₂²	1	1	yes	characteristic
53	C₁₉×#532	C₂²	1	1	yes	characteristic
54	C₁₉×#532	C₂²	1	1	yes	characteristic
55	C₁₉×#532	C₂²	1	1	yes	characteristic
56	C₁₉×#529	C₂²	1	1	yes	characteristic
57	C₁₉×#501	C₂²	1	1	yes	characteristic
58	C₁₉×#501	C₂²	1	2	yes	—
59	C₁₉×#499	C₂²	1	2	yes	—
60	C₁₉×#498	C₂²	1	1	yes	characteristic
61	C₁₉×#496	C₂²	1	1	yes	characteristic
62	C₁₉×#496	C₂²	1	2	yes	—
63	C₁₉×#493	C₂²	1	2	yes	—
64	C₁₉×#493	C₂²	1	1	yes	characteristic
65	C₁₉×#490	C₂²	1	1	yes	characteristic
66	C₁₉×#490	C₂²	1	2	yes	—
67	C₁₉×#490	C₂²	1	2	yes	—
68	C₁₉×#489	C₂²	1	1	yes	characteristic
69	C₁₉×#488	C₂²	1	2	yes	—
70	C₁₉×#486	C₂²	1	2	yes	—
71	C₁₉×#486	C₂²	1	1	yes	characteristic
72	C₁₉×#486	C₂²	1	1	yes	characteristic
73	C₁₉×#479	C₂²	1	2	yes	—
74	C₁₉×#478	C₂²	1	2	yes	—
75	C₁₉×#478	C₂²	1	2	yes	—
76	C₁₉×#478	C₂²	1	2	yes	—
77	C₁₉×#478	C₂²	1	2	yes	—
78	C₁₉×#478	C₂²	1	2	yes	—
79	C₁₉×#478	C₂²	1	2	yes	—
80	C₁₉×#477	C₂²	1	1	yes	characteristic
81	C₁₉×#476	C₂²	1	1	yes	characteristic
82	C₁₉×#476	C₂²	1	2	yes	—
83	C₁₉×#474	C₂²	1	1	yes	characteristic
84	C₁₉×#474	C₂²	1	1	yes	characteristic
85	C₁₉×#474	C₂²	1	2	yes	—
86	C₁₉×#474	C₂²	1	2	yes	—
87	C₁₉×#469	C₂²	1	1	yes	characteristic
88	C₁₉×#469	C₂²	1	1	yes	characteristic
89	C₁₉×#469	C₂²	1	2	yes	—
90	C₁₉×#469	C₂²	1	2	yes	—
91	C₁₉×#468	C₂²	1	1	yes	characteristic
92	C₁₉×#468	C₂²	1	1	yes	characteristic
93	C₁₉×#466	C₂²	1	2	yes	—
94	C₁₉×#466	C₂²	1	2	yes	—
95	C₁₉×#466	C₂²	1	2	yes	—
96	C₁₉×#465	C₂²	1	2	yes	—
97	C₁₉×#463	C₂²	1	2	yes	—
98	C₁₉×#463	C₂²	1	2	yes	—
99	C₁₉×#463	C₂²	1	2	yes	—
100	C₁₉×#460	C₂²	1	1	yes	characteristic
101	C₁₉×#460	C₂²	1	2	yes	—
102	C₁₉×#459	C₂²	1	1	yes	characteristic
103	C₁₉×#459	C₂²	1	1	yes	characteristic
104	C₁₉×#459	C₂²	1	2	yes	—
105	C₁₉×#459	C₂²	1	1	yes	characteristic
106	C₁₉×#459	C₂²	1	2	yes	—
107	C₁₉×#459	C₂²	1	2	yes	—
108	C₁₉×#459	C₂²	1	2	yes	—
109	C₁₉×#459	C₂²	1	2	yes	—
110	C₁₉×#459	C₂²	1	2	yes	—
111	C₁₉×#446	C₂²	1	1	yes	characteristic
112	C₁₉×#446	C₂²	1	2	yes	—
113	C₁₉×#446	C₂²	1	1	yes	characteristic
114	C₁₉×#446	C₂²	1	2	yes	—
115	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic
116	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic
117	C₁₉×#442	C₂²	1	2	yes	—
118	C₁₉×#442	C₂²	1	2	yes	—
119	C₁₉×#442	C₂²	1	2	yes	—
120	C₁₉×#442	C₂²	1	2	yes	—
121	C₁₉×#442	C₂²	1	2	yes	—
122	C₁₉×#440	C₂²	1	2	yes	—
123	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
124	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
125	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
126	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
127	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
128	C₄×D₈×C₁₉	C₂²	1	2	yes	—
129	C₄×D₈×C₁₉	C₂²	1	2	yes	—
130	C₄×D₈×C₁₉	C₂²	1	2	yes	—
131	C₁₉×#424	C₂²	1	2	yes	—
132	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
133	C₁₉×#405	C₂²	1	2	yes	—
134	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₁₉	—	2	1	no	—
136	C₂×#41×C₁₉	—	2	1	no	—
137	C₂×#41×C₁₉	—	2	1	no	—
138	C₂×#41×C₁₉	—	2	2	no	—
139	C₂×#41×C₁₉	—	2	1	no	—
140	C₂×#41×C₁₉	—	2	1	no	—
141	C₂×#41×C₁₉	—	2	1	no	—
142	C₂²×Q₈×C₁₉	—	2	1	no	—
143	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
146	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
147	C₂×D₈×C₁₉	C₂³	1	2	yes	—
148	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
149	C₂×D₈×C₁₉	C₂³	1	2	yes	—
150	C₂×D₈×C₁₉	C₂³	1	2	yes	—
151	C₂×D₈×C₁₉	C₂³	1	2	yes	—
152	C₂×D₈×C₁₉	C₂³	1	2	yes	—
153	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
155	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
156	C₁₉×C₄⋊Q₈	—	2	1	no	—
157	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
158	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
159	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₉×#127	C₂³	1	1	yes	characteristic
164	C₁₉×#127	C₂³	1	2	yes	—
165	C₁₉×#127	C₂³	1	2	yes	—
166	C₁₉×#127	C₂³	1	1	yes	characteristic
167	C₁₉×#127	C₂³	1	1	yes	characteristic
168	C₁₉×#127	C₂³	1	2	yes	—
169	C₁₉×#126	—	2	2	no	—
170	C₁₉×#126	—	2	1	no	—
171	C₁₉×#125	—	2	2	no	—
172	C₁₉×#125	D₄	1	2	yes	—
173	C₁₉×#125	C₂³	1	2	yes	—
174	C₁₉×#125	C₂³	1	2	yes	—
175	C₁₉×#125	C₂³	1	1	yes	characteristic
176	C₁₉×#125	C₂³	1	2	yes	—
177	C₁₉×#124	—	2	1	no	—
178	C₁₉×#124	—	2	2	no	—
179	C₁₉×#124	—	2	2	no	—
180	C₁₉×#124	—	2	1	no	—
181	C₁₉×#124	—	2	1	no	—
182	C₁₉×#124	—	2	1	no	—
183	C₁₉×#124	C₂³	1	2	yes	—
184	C₁₉×#124	C₂³	1	1	yes	characteristic
185	C₁₉×#123	—	2	1	no	—
186	C₁₉×#123	—	2	2	no	—
187	C₁₉×#123	—	2	2	no	—
188	C₁₉×#123	—	2	2	no	—
189	C₁₉×#123	—	2	2	no	—
190	C₁₉×#123	—	2	2	no	—
191	C₁₉×#123	—	2	2	no	—
192	C₁₉×#123	—	2	2	no	—
193	C₁₉×#123	—	2	2	no	—
194	C₁₉×#123	—	2	2	no	—
195	C₁₉×#123	—	2	2	no	—
196	C₁₉×C₂²⋊Q₈	—	2	1	no	—
197	C₁₉×C₂²⋊Q₈	—	2	1	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	2	no	—
202	C₁₉×C₂²⋊Q₈	—	2	2	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	1	no	—
209	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
210	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
211	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
212	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
213	C₁₉×#121	—	2	1	no	—
214	C₁₉×#121	—	2	1	no	—
215	C₁₉×#121	—	2	1	no	—
216	C₁₉×#121	—	2	1	no	—
217	C₁₉×#121	—	2	1	no	—
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	1	no	—
225	C₁₉×#121	—	2	2	no	—
226	C₁₉×#121	—	2	2	no	—
227	C₁₉×#121	—	2	2	no	—
228	C₁₉×#121	—	2	2	no	—
229	C₁₉×#121	—	2	2	no	—
230	C₁₉×#121	—	2	2	no	—
231	C₁₉×#121	C₂³	1	2	yes	—
232	C₁₉×#121	C₂³	1	1	yes	characteristic
233	C₁₉×#121	C₂³	1	1	yes	characteristic
234	C₁₉×#121	C₂³	1	1	yes	characteristic
235	C₁₉×#121	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₉	—	2	1	no	—
237	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
242	C₄×D₄×C₁₉	—	2	1	no	—
243	C₄×D₄×C₁₉	—	2	2	no	—
244	C₄×D₄×C₁₉	—	2	1	no	—
245	C₄×D₄×C₁₉	—	2	1	no	—
246	C₄×D₄×C₁₉	—	2	1	no	—
247	C₄×D₄×C₁₉	—	2	1	no	—
248	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₉	C₂³	1	2	yes	—
252	C₄×D₄×C₁₉	C₂³	1	2	yes	—
253	C₄×D₄×C₁₉	C₂³	1	2	yes	—
254	C₄×D₄×C₁₉	C₂³	1	2	yes	—
255	C₄×D₄×C₁₉	C₂³	1	2	yes	—
256	C₄×D₄×C₁₉	C₂³	1	2	yes	—
257	C₄×D₄×C₁₉	C₂³	1	2	yes	—
258	C₄×D₄×C₁₉	C₂³	1	2	yes	—
259	C₄×D₄×C₁₉	C₂³	1	2	yes	—
260	C₁₉×#117	—	2	1	no	—
261	C₁₉×#117	C₂³	1	2	yes	—
262	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
263	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
264	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
265	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
266	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
267	C₁₉×#107	C₂³	1	1	yes	characteristic
268	C₁₉×#107	C₂³	1	2	yes	—
269	C₁₉×#107	C₂³	1	2	yes	—
270	C₁₉×#107	C₂³	1	1	yes	characteristic
271	C₁₉×#107	C₂³	1	2	yes	—
272	C₁₉×#106	C₂³	1	2	yes	—
273	C₁₉×#106	C₂³	1	1	yes	characteristic
274	C₁₉×#106	C₂³	1	1	yes	characteristic
275	C₁₉×#106	C₂³	1	2	yes	—
276	C₁₉×#106	C₂³	1	2	yes	—
277	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₉×#103	C₂³	1	1	yes	characteristic
285	C₁₉×#103	C₂³	1	2	yes	—
286	C₁₉×#103	C₂³	1	1	yes	characteristic
287	C₁₉×#102	C₂³	1	1	yes	characteristic
288	C₁₉×#102	C₂³	1	1	yes	characteristic
289	C₁₉×#102	C₂³	1	2	yes	—
290	C₁₉×#102	C₂³	1	1	yes	characteristic
291	C₁₉×#102	C₂³	1	2	yes	—
292	C₁₉×#102	C₂³	1	2	yes	—
293	C₁₉×#102	C₂³	1	2	yes	—
294	C₁₉×#102	C₂³	1	1	yes	characteristic
295	C₁₉×#102	C₂³	1	1	yes	characteristic
296	C₁₉×#102	C₂³	1	2	yes	—
297	C₁₉×#102	C₂³	1	1	yes	characteristic
298	C₁₉×#102	C₂³	1	2	yes	—
299	C₁₉×#102	C₂³	1	2	yes	—
300	C₁₉×#102	C₂³	1	2	yes	—
301	C₁₉×#102	C₂³	1	2	yes	—
302	C₁₉×#102	C₂³	1	2	yes	—
303	C₁₉×#102	C₂³	1	2	yes	—
304	C₁₉×#97	C₂³	1	1	yes	characteristic
305	C₁₉×#97	C₂³	1	1	yes	characteristic
306	C₁₉×#97	C₂³	1	2	yes	—
307	C₁₉×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₉	C₂³	1	2	yes	—
311	C₄×C₈×C₁₉	C₂³	1	2	yes	—
312	#41×C₁₉	—	8	2	no	—
313	#41×C₁₉	—	8	2	no	—
314	#41×C₁₉	—	8	2	no	—
315	#41×C₁₉	—	8	2	no	—
316	#41×C₁₉	—	8	2	no	—
317	#41×C₁₉	—	8	2	no	—
318	#41×C₁₉	—	8	4	no	—
319	C₂×Q₈×C₁₉	—	2	1	no	—
320	C₂×Q₈×C₁₉	—	2	2	no	—
321	C₂×Q₈×C₁₉	—	2	1	no	—
322	C₂×Q₈×C₁₉	—	2	1	no	—
323	C₂×Q₈×C₁₉	—	8	2	no	—
324	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
325	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
327	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₁₉	—	2	1	no	—
329	C₂×D₄×C₁₉	—	2	2	no	—
330	C₂×D₄×C₁₉	—	2	1	no	—
331	C₂×D₄×C₁₉	—	2	1	no	—
332	C₂×D₄×C₁₉	—	2	2	no	—
333	C₂×D₄×C₁₉	—	2	1	no	—
334	C₂×D₄×C₁₉	—	2	1	no	—
335	C₂×D₄×C₁₉	—	2	1	no	—
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	1	no	—
343	C₂×D₄×C₁₉	—	2	1	no	—
344	C₂×D₄×C₁₉	—	2	2	no	—
345	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
347	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
349	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₉	—	2	2	no	—
351	C₂²×C₄×C₁₉	—	2	1	no	—
352	C₂²×C₄×C₁₉	—	2	1	no	—
353	C₂²×C₄×C₁₉	—	2	1	no	—
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	2	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	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
365	SD₁₆×C₁₉	—	2	2	no	—
366	SD₁₆×C₁₉	—	4	2	no	—
367	SD₁₆×C₁₉	—	4	1	no	—
368	D₈×C₁₉	—	2	2	no	—
369	D₈×C₁₉	—	2	4	no	—
370	D₈×C₁₉	—	4	2	no	—
371	D₈×C₁₉	—	4	2	no	—
372	D₈×C₁₉	—	4	2	no	—
373	D₈×C₁₉	—	4	2	no	—
374	D₈×C₁₉	—	4	1	no	—
375	M₁₆×C₁₉	—	2	2	no	—
376	M₁₆×C₁₉	—	4	1	no	—
377	C₂×C₈×C₁₉	—	4	2	no	—
378	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
379	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
380	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
384	C₄⋊C₄×C₁₉	—	2	1	no	—
385	C₄⋊C₄×C₁₉	—	2	1	no	—
386	C₄⋊C₄×C₁₉	—	2	1	no	—
387	C₄⋊C₄×C₁₉	—	2	2	no	—
388	C₄⋊C₄×C₁₉	—	2	2	no	—
389	C₄⋊C₄×C₁₉	—	2	2	no	—
390	C₄⋊C₄×C₁₉	—	2	2	no	—
391	C₄⋊C₄×C₁₉	—	2	2	no	—
392	C₄⋊C₄×C₁₉	—	2	2	no	—
393	C₄⋊C₄×C₁₉	—	2	1	no	—
394	C₄⋊C₄×C₁₉	—	2	1	no	—
395	C₄⋊C₄×C₁₉	—	2	1	no	—
396	C₄⋊C₄×C₁₉	—	2	2	no	—
397	C₄⋊C₄×C₁₉	—	2	2	no	—
398	C₄⋊C₄×C₁₉	—	2	1	no	—
399	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
403	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
404	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
405	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
407	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
408	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
409	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
410	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
412	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
414	C₂²⋊C₄×C₁₉	—	2	1	no	—
415	C₂²⋊C₄×C₁₉	—	2	1	no	—
416	C₂²⋊C₄×C₁₉	—	2	1	no	—
417	C₂²⋊C₄×C₁₉	—	2	1	no	—
418	C₂²⋊C₄×C₁₉	—	2	2	no	—
419	C₂²⋊C₄×C₁₉	—	2	2	no	—
420	C₂²⋊C₄×C₁₉	—	2	1	no	—
421	C₂²⋊C₄×C₁₉	—	2	1	no	—
422	C₂²⋊C₄×C₁₉	—	2	2	no	—
423	C₂²⋊C₄×C₁₉	—	2	2	no	—
424	C₂²⋊C₄×C₁₉	—	2	2	no	—
425	C₂²⋊C₄×C₁₉	—	2	2	no	—
426	C₂²⋊C₄×C₁₉	—	2	2	no	—
427	C₂²⋊C₄×C₁₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₉	—	2	1	no	—
429	C₂²⋊C₄×C₁₉	—	2	1	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	—	2	1	no	—
432	C₂²⋊C₄×C₁₉	—	2	2	no	—
433	C₂²⋊C₄×C₁₉	—	2	2	no	—
434	C₂²⋊C₄×C₁₉	—	2	2	no	—
435	C₂²⋊C₄×C₁₉	—	2	2	no	—
436	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
437	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
438	C₄²×C₁₉	—	2	1	no	—
439	C₄²×C₁₉	—	2	2	no	—
440	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
441	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
443	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
444	C₄²×C₁₉	C₂⁴	1	2	yes	—
445	C₄²×C₁₉	C₂⁴	1	2	yes	—
446	#62405	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
447	C₂³×C₁₉	—	2	2	no	—
448	C₂³×C₁₉	—	2	1	no	—
449	C₂³×C₁₉	—	2	2	no	—
450	C₂³×C₁₉	—	2	1	no	—
451	C₂³×C₁₉	—	2	1	no	—
452	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
453	Q₈×C₁₉	—	2	2	no	—
454	Q₈×C₁₉	—	2	2	no	—
455	Q₈×C₁₉	—	2	1	no	—
456	Q₈×C₁₉	—	2	1	no	—
457	Q₈×C₁₉	—	4	2	no	—
458	Q₈×C₁₉	—	4	2	no	—
459	Q₈×C₁₉	—	8	2	no	—
460	Q₈×C₁₉	—	8	1	no	—
461	Q₈×C₁₉	—	8	1	no	—
462	D₄×C₁₉	—	2	1	no	—
463	D₄×C₁₉	—	2	2	no	—
464	D₄×C₁₉	—	2	1	no	—
465	D₄×C₁₉	—	2	2	no	—
466	D₄×C₁₉	—	2	1	no	—
467	D₄×C₁₉	—	2	1	no	—
468	D₄×C₁₉	—	2	2	no	—
469	D₄×C₁₉	—	2	1	no	—
470	D₄×C₁₉	—	2	1	no	—
471	D₄×C₁₉	—	2	2	no	—
472	D₄×C₁₉	—	4	2	no	—
473	D₄×C₁₉	—	4	2	no	—
474	D₄×C₁₉	—	4	2	no	—
475	D₄×C₁₉	—	8	1	no	—
476	D₄×C₁₉	—	8	2	no	—
477	D₄×C₁₉	—	8	1	no	—
478	D₄×C₁₉	—	8	2	no	—
479	D₄×C₁₉	—	8	2	no	—
480	D₄×C₁₉	—	8	1	no	—
481	D₄×C₁₉	—	8	2	no	—
482	D₄×C₁₉	—	8	2	no	—
483	D₄×C₁₉	—	8	2	no	—
484	D₄×C₁₉	—	8	1	no	—
485	D₄×C₁₉	—	8	2	no	—
486	D₄×C₁₉	—	8	1	no	—
487	D₄×C₁₉	—	8	1	no	—
488	D₄×C₁₉	—	8	2	no	—
489	C₂×C₄×C₁₉	—	2	2	no	—
490	C₂×C₄×C₁₉	—	2	1	no	—
491	C₂×C₄×C₁₉	—	2	1	no	—
492	C₂×C₄×C₁₉	—	2	1	no	—
493	C₂×C₄×C₁₉	—	2	1	no	—
494	C₂×C₄×C₁₉	—	2	2	no	—
495	C₂×C₄×C₁₉	—	2	2	no	—
496	C₂×C₄×C₁₉	—	2	1	no	—
497	C₂×C₄×C₁₉	—	2	1	no	—
498	C₂×C₄×C₁₉	—	2	1	no	—
499	C₂×C₄×C₁₉	—	4	1	no	—
500	C₂×C₄×C₁₉	—	4	4	no	—
501	C₂×C₄×C₁₉	—	4	2	no	—
502	C₂×C₄×C₁₉	—	4	2	no	—
503	C₂×C₄×C₁₉	—	4	2	no	—
504	C₂×C₄×C₁₉	—	8	2	no	—
505	C₂×C₄×C₁₉	—	8	2	no	—
506	C₂×C₄×C₁₉	—	8	2	no	—
507	C₂×C₄×C₁₉	—	8	2	no	—
508	C₂×C₄×C₁₉	—	8	2	no	—
509	C₂×C₄×C₁₉	—	8	2	no	—
510	C₂×C₄×C₁₉	—	8	2	no	—
511	C₂×C₄×C₁₉	—	8	2	no	—
512	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
513	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
518	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
522	C₈×C₁₉	—	2	1	no	—
523	C₈×C₁₉	—	2	2	no	—
524	C₈×C₁₉	—	2	2	no	—
525	C₈×C₁₉	—	2	1	no	—
526	C₈×C₁₉	—	2	1	no	—
527	C₈×C₁₉	2₋¹⁺⁴	1	2	yes	—
528	#3554	C₂×C₁₉	1	1	yes	characteristic, complemented
529	#3548	C₂×C₁₉	1	1	yes	characteristic, complemented
530	#3399	C₂×C₁₉	1	1	yes	characteristic, complemented
531	#3399	C₂×C₁₉	1	2	yes	complemented
532	#3391	C₂×C₁₉	1	1	yes	characteristic, complemented
533	#3389	C₂×C₁₉	1	2	yes	complemented
534	#3384	C₂×C₁₉	1	1	yes	characteristic, complemented
535	#3381	C₂×C₁₉	1	1	yes	characteristic, complemented
536	#3370	C₂×C₁₉	1	2	yes	complemented
537	#3368	C₂×C₁₉	1	1	yes	characteristic, complemented
538	#3366	C₂×C₁₉	1	1	yes	characteristic, complemented
539	#3366	C₂×C₁₉	1	2	yes	complemented
540	#3361	C₂×C₁₉	1	1	yes	characteristic, complemented
541	#3358	C₂×C₁₉	1	1	yes	characteristic, complemented
542	#3259	C₂×C₁₉	1	2	yes	complemented
543	#3257	C₂×C₁₉	1	2	yes	complemented
544	#3247	C₂×C₁₉	1	1	yes	characteristic, complemented
545	#3245	C₂×C₁₉	1	1	yes	characteristic, complemented
546	#3184	C₂×C₁₉	1	1	yes	characteristic, complemented
547	#3179	C₂×C₁₉	1	2	yes	complemented
548	#3176	C₂×C₁₉	1	2	yes	complemented
549	#3171	C₂×C₁₉	1	1	yes	characteristic, complemented
550	#2962	C₂×C₁₉	1	1	yes	characteristic, complemented
551	C₂²×C₁₉	—	2	1	no	—
552	C₂²×C₁₉	—	2	1	no	—
553	C₂²×C₁₉	—	2	1	no	—
554	C₂²×C₁₉	—	4	2	no	—
555	C₂²×C₁₉	—	4	1	no	—
556	C₂²×C₁₉	—	4	1	no	—
557	C₂²×C₁₉	—	4	2	no	—
558	C₂²×C₁₉	—	4	1	no	—
559	C₂²×C₁₉	—	4	2	no	—
560	C₂²×C₁₉	—	4	1	no	—
561	C₂²×C₁₉	—	4	2	no	—
562	C₂²×C₁₉	—	4	1	no	—
563	C₂²×C₁₉	—	4	1	no	—
564	C₂²×C₁₉	—	4	1	no	—
565	C₂²×C₁₉	—	4	1	no	—
566	C₂²×C₁₉	—	4	1	no	—
567	C₂²×C₁₉	—	4	2	no	—
568	C₂²×C₁₉	—	4	2	no	—
569	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
570	C₄×C₁₉	—	2	1	no	—
571	C₄×C₁₉	—	2	1	no	—
572	C₄×C₁₉	—	2	2	no	—
573	C₄×C₁₉	—	2	2	no	—
574	C₄×C₁₉	—	2	1	no	—
575	C₄×C₁₉	—	2	1	no	—
576	C₄×C₁₉	—	2	2	no	—
577	C₄×C₁₉	—	2	2	no	—
578	C₄×C₁₉	—	4	2	no	—
579	C₄×C₁₉	—	4	1	no	—
580	C₄×C₁₉	—	4	1	no	—
581	C₄×C₁₉	—	4	1	no	—
582	C₄×C₁₉	—	4	1	no	—
583	C₄×C₁₉	—	4	1	no	—
584	C₄×C₁₉	—	4	2	no	—
585	C₄×C₁₉	#576	1	2	yes	—
586	C₄×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
587	C₄×C₁₉	#585	1	1	yes	characteristic
588	#562	—	2	2	no	—
589	#562	—	2	2	no	—
590	#559	C₂²×C₁₉	1	1	yes	characteristic
591	#559	C₂²×C₁₉	1	2	yes	—
592	#557	C₂²×C₁₉	1	1	yes	characteristic
593	#554	C₂²×C₁₉	1	1	yes	characteristic
594	#554	C₂²×C₁₉	1	1	yes	characteristic
595	#554	C₂²×C₁₉	1	2	yes	—
596	#554	C₂²×C₁₉	1	2	yes	—
597	#550	C₂²×C₁₉	1	1	yes	characteristic
598	#550	C₂²×C₁₉	1	1	yes	characteristic
599	#550	C₂²×C₁₉	1	2	yes	—
600	#550	C₂²×C₁₉	1	1	yes	characteristic
601	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
602	#548	—	2	1	no	—
603	#547	—	2	1	no	—
604	#547	—	2	1	no	—
605	#547	—	2	1	no	—
606	#542	—	2	1	no	—
607	#542	C₂²×C₁₉	1	2	yes	—
608	#540	C₂²×C₁₉	1	2	yes	—
609	#540	C₂²×C₁₉	1	2	yes	—
610	#540	C₂²×C₁₉	1	2	yes	—
611	#539	—	2	2	no	—
612	#537	—	2	1	no	—
613	#537	—	2	1	no	—
614	#537	—	2	2	no	—
615	#536	—	2	1	no	—
616	#533	C₂²×C₁₉	1	1	yes	characteristic
617	#532	C₂²×C₁₉	1	1	yes	characteristic
618	#532	C₂²×C₁₉	1	1	yes	characteristic
619	#532	C₂²×C₁₉	1	1	yes	characteristic
620	#529	C₂²×C₁₉	1	1	yes	characteristic
621	#501	C₂²×C₁₉	1	2	yes	—
622	#501	C₂²×C₁₉	1	1	yes	characteristic
623	#499	C₂²×C₁₉	1	2	yes	—
624	#498	C₂²×C₁₉	1	1	yes	characteristic
625	#496	C₂²×C₁₉	1	1	yes	characteristic
626	#496	C₂²×C₁₉	1	2	yes	—
627	#493	C₂²×C₁₉	1	2	yes	—
628	#493	C₂²×C₁₉	1	1	yes	characteristic
629	#490	C₂²×C₁₉	1	1	yes	characteristic
630	#490	C₂²×C₁₉	1	2	yes	—
631	#490	C₂²×C₁₉	1	2	yes	—
632	#489	C₂²×C₁₉	1	1	yes	characteristic
633	#488	C₂²×C₁₉	1	2	yes	—
634	#486	C₂²×C₁₉	1	2	yes	—
635	#486	C₂²×C₁₉	1	1	yes	characteristic
636	#486	C₂²×C₁₉	1	1	yes	characteristic
637	#479	C₂²×C₁₉	1	2	yes	—
638	#478	C₂²×C₁₉	1	2	yes	—
639	#478	C₂²×C₁₉	1	2	yes	—
640	#478	C₂²×C₁₉	1	2	yes	—
641	#478	C₂²×C₁₉	1	2	yes	—
642	#478	C₂²×C₁₉	1	2	yes	—
643	#478	C₂²×C₁₉	1	2	yes	—
644	#477	C₂²×C₁₉	1	1	yes	characteristic
645	#476	C₂²×C₁₉	1	1	yes	characteristic
646	#476	C₂²×C₁₉	1	2	yes	—
647	#474	C₂²×C₁₉	1	1	yes	characteristic
648	#474	C₂²×C₁₉	1	2	yes	—
649	#474	C₂²×C₁₉	1	1	yes	characteristic
650	#474	C₂²×C₁₉	1	2	yes	—
651	#469	C₂²×C₁₉	1	1	yes	characteristic
652	#469	C₂²×C₁₉	1	1	yes	characteristic
653	#469	C₂²×C₁₉	1	2	yes	—
654	#469	C₂²×C₁₉	1	2	yes	—
655	#468	C₂²×C₁₉	1	1	yes	characteristic
656	#468	C₂²×C₁₉	1	1	yes	characteristic
657	#466	C₂²×C₁₉	1	2	yes	—
658	#466	C₂²×C₁₉	1	2	yes	—
659	#466	C₂²×C₁₉	1	2	yes	—
660	#465	C₂²×C₁₉	1	2	yes	—
661	#463	C₂²×C₁₉	1	2	yes	—
662	#463	C₂²×C₁₉	1	2	yes	—
663	#463	C₂²×C₁₉	1	2	yes	—
664	#460	C₂²×C₁₉	1	1	yes	characteristic
665	#460	C₂²×C₁₉	1	2	yes	—
666	#459	C₂²×C₁₉	1	1	yes	characteristic
667	#459	C₂²×C₁₉	1	2	yes	—
668	#459	C₂²×C₁₉	1	1	yes	characteristic
669	#459	C₂²×C₁₉	1	2	yes	—
670	#459	C₂²×C₁₉	1	2	yes	—
671	#459	C₂²×C₁₉	1	1	yes	characteristic
672	#459	C₂²×C₁₉	1	2	yes	—
673	#459	C₂²×C₁₉	1	2	yes	—
674	#459	C₂²×C₁₉	1	2	yes	—
675	#446	C₂²×C₁₉	1	1	yes	characteristic
676	#446	C₂²×C₁₉	1	2	yes	—
677	#446	C₂²×C₁₉	1	1	yes	characteristic
678	#446	C₂²×C₁₉	1	2	yes	—
679	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic
680	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic
681	#442	C₂²×C₁₉	1	2	yes	—
682	#442	C₂²×C₁₉	1	2	yes	—
683	#442	C₂²×C₁₉	1	2	yes	—
684	#442	C₂²×C₁₉	1	2	yes	—
685	#442	C₂²×C₁₉	1	2	yes	—
686	#440	C₂²×C₁₉	1	2	yes	—
687	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
688	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
689	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
690	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
691	C₄×D₈	C₂²×C₁₉	1	2	yes	—
692	C₄×D₈	C₂²×C₁₉	1	2	yes	—
693	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
694	C₄×D₈	C₂²×C₁₉	1	2	yes	—
695	#424	C₂²×C₁₉	1	2	yes	—
696	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
697	#405	C₂²×C₁₉	1	2	yes	—
698	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
699	C₂×C₁₉	—	4	1	no	—
700	C₂×C₁₉	—	8	2	no	—
701	C₂×C₁₉	—	8	1	no	—
702	C₂×C₁₉	—	8	1	no	—
703	C₂×C₁₉	—	8	2	no	—
704	C₂×C₁₉	—	8	1	no	—
705	C₂×C₁₉	#3497	1	1	yes	characteristic
706	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
707	C₂×C₁₉	#3585	1	1	yes	characteristic
708	C₂×#41	—	2	1	no	—
709	C₂×#41	—	2	1	no	—
710	C₂×#41	—	2	1	no	—
711	C₂×#41	—	2	2	no	—
712	C₂×#41	—	2	1	no	—
713	C₂×#41	—	2	1	no	—
714	C₂×#41	—	2	1	no	—
715	C₂²×Q₈	—	2	1	no	—
716	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
717	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
718	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
719	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
720	C₂×D₈	C₂³×C₁₉	1	2	yes	—
721	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
722	C₂×D₈	C₂³×C₁₉	1	2	yes	—
723	C₂×D₈	C₂³×C₁₉	1	2	yes	—
724	C₂×D₈	C₂³×C₁₉	1	2	yes	—
725	C₂×D₈	C₂³×C₁₉	1	2	yes	—
726	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
727	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
728	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
729	C₄⋊Q₈	—	2	1	no	—
730	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
731	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
732	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
733	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
734	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
736	#127	C₂³×C₁₉	1	1	yes	characteristic
737	#127	C₂³×C₁₉	1	1	yes	characteristic
738	#127	C₂³×C₁₉	1	1	yes	characteristic
739	#127	C₂³×C₁₉	1	2	yes	—
740	#127	C₂³×C₁₉	1	2	yes	—
741	#127	C₂³×C₁₉	1	2	yes	—
742	#126	—	2	2	no	—
743	#126	—	2	1	no	—
744	#125	—	2	2	no	—
745	#125	D₄×C₁₉	1	2	yes	—
746	#125	C₂³×C₁₉	1	1	yes	characteristic
747	#125	C₂³×C₁₉	1	2	yes	—
748	#125	C₂³×C₁₉	1	2	yes	—
749	#125	C₂³×C₁₉	1	2	yes	—
750	#124	—	2	1	no	—
751	#124	—	2	2	no	—
752	#124	—	2	2	no	—
753	#124	—	2	1	no	—
754	#124	—	2	1	no	—
755	#124	—	2	1	no	—
756	#124	C₂³×C₁₉	1	1	yes	characteristic
757	#124	C₂³×C₁₉	1	2	yes	—
758	#123	—	2	1	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	C₂²⋊Q₈	—	2	1	no	—
770	C₂²⋊Q₈	—	2	1	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	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	2	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
783	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
784	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
785	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
786	#121	—	2	1	no	—
787	#121	—	2	1	no	—
788	#121	—	2	1	no	—
789	#121	—	2	1	no	—
790	#121	—	2	1	no	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	—	2	2	no	—
797	#121	—	2	1	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	C₂³×C₁₉	1	1	yes	characteristic
805	#121	C₂³×C₁₉	1	2	yes	—
806	#121	C₂³×C₁₉	1	1	yes	characteristic
807	#121	C₂³×C₁₉	1	1	yes	characteristic
808	#121	C₂³×C₁₉	1	2	yes	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
811	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
812	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
813	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
814	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
822	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
823	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
824	C₄×D₄	C₂³×C₁₉	1	2	yes	—
825	C₄×D₄	C₂³×C₁₉	1	2	yes	—
826	C₄×D₄	C₂³×C₁₉	1	2	yes	—
827	C₄×D₄	C₂³×C₁₉	1	2	yes	—
828	C₄×D₄	C₂³×C₁₉	1	2	yes	—
829	C₄×D₄	C₂³×C₁₉	1	2	yes	—
830	C₄×D₄	C₂³×C₁₉	1	2	yes	—
831	C₄×D₄	C₂³×C₁₉	1	2	yes	—
832	C₄×D₄	C₂³×C₁₉	1	2	yes	—
833	#117	—	2	1	no	—
834	#117	C₂³×C₁₉	1	2	yes	—
835	C₂×C₄⋊C₄	—	2	1	no	—
836	C₂×C₄⋊C₄	—	2	1	no	—
837	C₂×C₄⋊C₄	—	2	2	no	—
838	C₂×C₄⋊C₄	—	2	2	no	—
839	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
840	#107	C₂³×C₁₉	1	1	yes	characteristic
841	#107	C₂³×C₁₉	1	2	yes	—
842	#107	C₂³×C₁₉	1	2	yes	—
843	#107	C₂³×C₁₉	1	1	yes	characteristic
844	#107	C₂³×C₁₉	1	2	yes	—
845	#106	C₂³×C₁₉	1	2	yes	—
846	#106	C₂³×C₁₉	1	1	yes	characteristic
847	#106	C₂³×C₁₉	1	1	yes	characteristic
848	#106	C₂³×C₁₉	1	2	yes	—
849	#106	C₂³×C₁₉	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
853	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
854	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
856	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
857	#103	C₂³×C₁₉	1	1	yes	characteristic
858	#103	C₂³×C₁₉	1	2	yes	—
859	#103	C₂³×C₁₉	1	1	yes	characteristic
860	#102	C₂³×C₁₉	1	1	yes	characteristic
861	#102	C₂³×C₁₉	1	1	yes	characteristic
862	#102	C₂³×C₁₉	1	2	yes	—
863	#102	C₂³×C₁₉	1	1	yes	characteristic
864	#102	C₂³×C₁₉	1	2	yes	—
865	#102	C₂³×C₁₉	1	2	yes	—
866	#102	C₂³×C₁₉	1	2	yes	—
867	#102	C₂³×C₁₉	1	1	yes	characteristic
868	#102	C₂³×C₁₉	1	1	yes	characteristic
869	#102	C₂³×C₁₉	1	2	yes	—
870	#102	C₂³×C₁₉	1	1	yes	characteristic
871	#102	C₂³×C₁₉	1	2	yes	—
872	#102	C₂³×C₁₉	1	2	yes	—
873	#102	C₂³×C₁₉	1	2	yes	—
874	#102	C₂³×C₁₉	1	2	yes	—
875	#102	C₂³×C₁₉	1	2	yes	—
876	#102	C₂³×C₁₉	1	2	yes	—
877	#97	C₂³×C₁₉	1	1	yes	characteristic
878	#97	C₂³×C₁₉	1	1	yes	characteristic
879	#97	C₂³×C₁₉	1	2	yes	—
880	#97	C₂³×C₁₉	1	2	yes	—
881	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
882	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
883	C₄×C₈	C₂³×C₁₉	1	2	yes	—
884	C₄×C₈	C₂³×C₁₉	1	2	yes	—
885	C₁₉	#62405	1	1	yes	characteristic, direct product factor, Sylow
886	#41	—	8	2	no	—
887	#41	—	8	2	no	—
888	#41	—	8	2	no	—
889	#41	—	8	2	no	—
890	#41	—	8	2	no	—
891	#41	—	8	2	no	—
892	#41	—	8	4	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	2	no	—
895	C₂×Q₈	—	2	1	no	—
896	C₂×Q₈	—	2	1	no	—
897	C₂×Q₈	—	8	2	no	—
898	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
899	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
900	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
901	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
920	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
921	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
922	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
923	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
937	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
938	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
939	SD₁₆	—	2	2	no	—
940	SD₁₆	—	4	2	no	—
941	SD₁₆	—	4	1	no	—
942	D₈	—	2	2	no	—
943	D₈	—	2	4	no	—
944	D₈	—	4	2	no	—
945	D₈	—	4	2	no	—
946	D₈	—	4	2	no	—
947	D₈	—	4	2	no	—
948	D₈	—	4	1	no	—
949	M₁₆	—	2	2	no	—
950	M₁₆	—	4	1	no	—
951	C₂×C₈	—	4	2	no	—
952	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
953	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
954	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
955	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
956	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
957	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
974	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
975	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
976	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
977	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
978	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
979	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
980	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
981	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
982	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
985	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
986	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1011	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1015	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1016	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1017	C₄²	C₂⁴×C₁₉	1	2	yes	—
1018	C₄²	C₂⁴×C₁₉	1	2	yes	—
1019	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	1	no	—
1023	C₂³	—	2	1	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1026	Q₈	—	2	2	no	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	4	2	no	—
1031	Q₈	—	4	2	no	—
1032	Q₈	—	8	2	no	—
1033	Q₈	—	8	1	no	—
1034	Q₈	—	8	1	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	1	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	2	1	no	—
1040	D₄	—	2	1	no	—
1041	D₄	—	2	2	no	—
1042	D₄	—	2	1	no	—
1043	D₄	—	2	1	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	4	2	no	—
1046	D₄	—	4	2	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	8	1	no	—
1049	D₄	—	8	2	no	—
1050	D₄	—	8	2	no	—
1051	D₄	—	8	2	no	—
1052	D₄	—	8	1	no	—
1053	D₄	—	8	2	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	1	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	1	no	—
1058	D₄	—	8	1	no	—
1059	D₄	—	8	2	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	1	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	—	8	2	no	—
1081	C₂×C₄	—	8	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1086	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1087	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1088	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1089	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1090	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1091	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1092	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1093	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1094	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1095	C₈	—	2	1	no	—
1096	C₈	—	2	2	no	—
1097	C₈	—	2	2	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	1	no	—
1100	C₈	C₁₉×2₋¹⁺⁴	1	2	yes	—
1101	C₂²	—	2	1	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1120	C₄	—	2	1	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	2	2	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	2	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	1	no	—
1135	C₄	C₁₉×#576	1	2	yes	—
1136	C₄	C₂×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
1137	C₄	C₁₉×#585	1	1	yes	characteristic
1138	C₂	—	4	1	no	—
1139	C₂	—	8	1	no	—
1140	C₂	—	8	1	no	—
1141	C₂	—	8	1	no	—
1142	C₂	—	8	2	no	—
1143	C₂	—	8	2	no	—
1144	C₂	C₁₉×#3497	1	1	yes	characteristic
1145	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
1146	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×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3554	C₂	semidirect
2. C₁₉×#3548	C₂	semidirect
3. C₁₉×#3399	C₂	semidirect
4. C₁₉×#3399	C₂	semidirect
5. C₁₉×#3391	C₂	semidirect
6. C₁₉×#3389	C₂	semidirect
7. C₁₉×#3384	C₂	semidirect
8. C₁₉×#3381	C₂	semidirect
9. C₁₉×#3370	C₂	semidirect
10. C₁₉×#3368	C₂	semidirect
11. C₁₉×#3366	C₂	semidirect
12. C₁₉×#3366	C₂	semidirect
13. C₁₉×#3361	C₂	semidirect
14. C₁₉×#3358	C₂	semidirect
15. C₁₉×#3259	C₂	semidirect
16. C₁₉×#3257	C₂	semidirect
17. C₁₉×#3247	C₂	semidirect
18. C₁₉×#3245	C₂	semidirect
19. C₁₉×#3184	C₂	semidirect
20. C₁₉×#3179	C₂	semidirect
21. C₁₉×#3176	C₂	semidirect
22. C₁₉×#3171	C₂	semidirect
23. C₁₉×#2962	C₂	semidirect
446. #62405	C₁₉	direct (N × H)
528. #3554	C₂×C₁₉	semidirect
529. #3548	C₂×C₁₉	semidirect
530. #3399	C₂×C₁₉	semidirect
531. #3399	C₂×C₁₉	semidirect
532. #3391	C₂×C₁₉	semidirect
533. #3389	C₂×C₁₉	semidirect
534. #3384	C₂×C₁₉	semidirect
535. #3381	C₂×C₁₉	semidirect
536. #3370	C₂×C₁₉	semidirect
537. #3368	C₂×C₁₉	semidirect
538. #3366	C₂×C₁₉	semidirect
539. #3366	C₂×C₁₉	semidirect
540. #3361	C₂×C₁₉	semidirect
541. #3358	C₂×C₁₉	semidirect
542. #3259	C₂×C₁₉	semidirect
543. #3257	C₂×C₁₉	semidirect
544. #3247	C₂×C₁₉	semidirect
545. #3245	C₂×C₁₉	semidirect
546. #3184	C₂×C₁₉	semidirect
547. #3179	C₂×C₁₉	semidirect
548. #3176	C₂×C₁₉	semidirect
549. #3171	C₂×C₁₉	semidirect
550. #2962	C₂×C₁₉	semidirect
885. C₁₉	#62405	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×#3554	2
C₁₉×#3548	2
C₁₉×#3399	2
C₁₉×#3391	2
C₁₉×#3389	2
C₁₉×#3384	2
C₁₉×#3381	2
C₁₉×#3370	2
C₁₉×#3368	2
C₁₉×#3366	2
C₁₉×#3361	2
C₁₉×#3358	2
C₁₉×#3259	2
C₁₉×#3257	2
C₁₉×#3247	2
C₁₉×#3245	2
C₁₉×#3184	2
C₁₉×#3179	2
C₁₉×#3176	2
C₁₉×#3171	2
C₁₉×#2962	2
#62405	19

Subgroups — C19×#62405 #18068364

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62405 #18068364