Subgroups — C₁₉×#62403 #18068362

Order 4864.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1122 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×#3550	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3397	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3394	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3386	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3385	C₂	1	2	yes	maximal, complemented
8	Q₈×D₈×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3375	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3373	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3370	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3367	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3364	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3262	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3257	C₂	1	2	yes	maximal, complemented
17	C₁₉×#3248	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3245	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3182	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3179	C₂	1	2	yes	maximal, complemented
21	C₁₉×#3175	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×#563	—	2	2	no	—
25	C₁₉×#562	—	2	2	no	—
26	C₁₉×#559	C₂²	1	2	yes	—
27	C₁₉×#559	C₂²	1	1	yes	characteristic
28	C₁₉×#559	C₂²	1	2	yes	—
29	Q₈²×C₁₉	C₂²	1	2	yes	—
30	C₁₉×#557	C₂²	1	1	yes	characteristic
31	C₁₉×#556	—	2	1	no	—
32	C₁₉×#556	C₂²	1	1	yes	characteristic
33	C₁₉×#556	C₂²	1	1	yes	characteristic
34	C₁₉×#554	C₂²	1	2	yes	—
35	C₁₉×#550	C₂²	1	1	yes	characteristic
36	D₄×Q₈×C₁₉	—	2	1	no	—
37	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
40	C₁₉×#548	—	2	1	no	—
41	C₁₉×#547	—	2	1	no	—
42	C₁₉×#542	—	2	1	no	—
43	C₁₉×#542	—	2	2	no	—
44	C₁₉×#542	C₂²	1	2	yes	—
45	C₁₉×#542	C₂²	1	2	yes	—
46	C₁₉×#542	C₂²	1	2	yes	—
47	C₁₉×#540	C₂²	1	2	yes	—
48	C₁₉×#539	—	2	2	no	—
49	C₁₉×#536	—	2	1	no	—
50	C₁₉×#536	—	2	1	no	—
51	C₁₉×#536	—	2	1	no	—
52	C₁₉×#533	C₂²	1	1	yes	characteristic
53	C₁₉×#533	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×#500	C₂²	1	2	yes	—
60	C₁₉×#500	C₂²	1	1	yes	characteristic
61	C₁₉×#496	C₂²	1	1	yes	characteristic
62	C₁₉×#496	C₂²	1	2	yes	—
63	C₁₉×#495	C₂²	1	2	yes	—
64	C₁₉×#492	C₂²	1	1	yes	characteristic
65	C₁₉×#490	C₂²	1	1	yes	characteristic
66	C₁₉×#489	C₂²	1	1	yes	characteristic
67	C₁₉×#489	C₂²	1	2	yes	—
68	C₁₉×#489	C₂²	1	2	yes	—
69	C₁₉×#488	C₂²	1	2	yes	—
70	C₁₉×#487	C₂²	1	1	yes	characteristic
71	C₁₉×#486	C₂²	1	2	yes	—
72	C₁₉×#486	C₂²	1	1	yes	characteristic
73	C₁₉×#479	C₂²	1	2	yes	—
74	C₁₉×#479	C₂²	1	2	yes	—
75	C₁₉×#478	C₂²	1	2	yes	—
76	C₁₉×#477	C₂²	1	2	yes	—
77	C₁₉×#477	C₂²	1	2	yes	—
78	C₁₉×#476	C₂²	1	2	yes	—
79	C₁₉×#475	C₂²	1	1	yes	characteristic
80	C₁₉×#474	C₂²	1	1	yes	characteristic
81	C₁₉×#474	C₂²	1	1	yes	characteristic
82	C₁₉×#474	C₂²	1	2	yes	—
83	C₁₉×#474	C₂²	1	1	yes	characteristic
84	C₁₉×#474	C₂²	1	2	yes	—
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×#468	C₂²	1	1	yes	characteristic
90	C₁₉×#468	C₂²	1	1	yes	characteristic
91	C₁₉×#468	C₂²	1	2	yes	—
92	C₁₉×#468	C₂²	1	2	yes	—
93	C₁₉×#467	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×#464	C₂²	1	2	yes	—
98	C₁₉×#464	C₂²	1	2	yes	—
99	C₁₉×#464	C₂²	1	2	yes	—
100	C₁₉×#463	C₂²	1	2	yes	—
101	C₁₉×#463	C₂²	1	2	yes	—
102	C₁₉×#463	C₂²	1	2	yes	—
103	C₁₉×#463	C₂²	1	2	yes	—
104	C₁₉×#462	C₂²	1	1	yes	characteristic
105	C₁₉×#461	C₂²	1	1	yes	characteristic
106	C₁₉×#460	C₂²	1	2	yes	—
107	C₁₉×#459	C₂²	1	1	yes	characteristic
108	C₁₉×#459	C₂²	1	2	yes	—
109	C₁₉×#459	C₂²	1	1	yes	characteristic
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	2	yes	—
114	C₁₉×#446	C₂²	1	1	yes	characteristic
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×#440	C₂²	1	2	yes	—
119	C₁₉×#440	C₂²	1	2	yes	—
120	C₁₉×#440	C₂²	1	2	yes	—
121	C₁₉×#440	C₂²	1	2	yes	—
122	C₁₉×#440	C₂²	1	2	yes	—
123	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
124	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
125	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	—
127	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
128	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
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	C₂²×Q₈×C₁₉	—	2	1	no	—
139	C₂²×Q₈×C₁₉	—	2	1	no	—
140	C₂²×Q₈×C₁₉	—	2	1	no	—
141	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
142	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
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×SD₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
148	C₂×D₈×C₁₉	C₂³	1	2	yes	—
149	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
150	C₂×D₈×C₁₉	C₂³	1	2	yes	—
151	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
152	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
154	C₁₉×C₄⋊Q₈	—	2	1	no	—
155	C₁₉×C₄⋊Q₈	—	2	2	no	—
156	C₁₉×C₄⋊Q₈	—	2	2	no	—
157	C₁₉×C₄⋊Q₈	—	2	2	no	—
158	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
159	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
160	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₉×#127	C₂³	1	1	yes	characteristic
168	C₁₉×#127	C₂³	1	1	yes	characteristic
169	C₁₉×#127	C₂³	1	2	yes	—
170	C₁₉×#126	—	2	2	no	—
171	C₁₉×#126	—	2	2	no	—
172	C₁₉×#126	—	2	2	no	—
173	C₁₉×#126	—	2	2	no	—
174	C₁₉×#126	—	2	2	no	—
175	C₁₉×#126	—	2	1	no	—
176	C₁₉×#125	—	2	2	no	—
177	C₁₉×#125	—	2	1	no	—
178	C₁₉×#125	D₄	1	2	yes	—
179	C₁₉×#125	C₂³	1	2	yes	—
180	C₁₉×#125	C₂³	1	1	yes	characteristic
181	C₁₉×#124	—	2	1	no	—
182	C₁₉×#124	—	2	2	no	—
183	C₁₉×#124	—	2	2	no	—
184	C₁₉×#124	—	2	2	no	—
185	C₁₉×#124	—	2	2	no	—
186	C₁₉×#124	—	2	2	no	—
187	C₁₉×#124	—	2	1	no	—
188	C₁₉×#124	—	2	1	no	—
189	C₁₉×#124	C₂³	1	2	yes	—
190	C₁₉×#124	C₂³	1	2	yes	—
191	C₁₉×#124	C₂³	1	2	yes	—
192	C₁₉×#124	C₂³	1	1	yes	characteristic
193	C₁₉×#123	—	2	1	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×#123	—	2	2	no	—
199	C₁₉×#123	—	2	2	no	—
200	C₁₉×#123	—	2	2	no	—
201	C₁₉×#123	—	2	2	no	—
202	C₁₉×#123	—	2	2	no	—
203	C₁₉×#123	—	2	2	no	—
204	C₁₉×C₂²⋊Q₈	—	2	1	no	—
205	C₁₉×C₂²⋊Q₈	—	2	1	no	—
206	C₁₉×C₂²⋊Q₈	—	2	2	no	—
207	C₁₉×C₂²⋊Q₈	—	2	1	no	—
208	C₁₉×C₂²⋊Q₈	—	2	2	no	—
209	C₁₉×C₂²⋊Q₈	—	2	1	no	—
210	C₁₉×C₂²⋊Q₈	—	2	1	no	—
211	C₁₉×C₂²⋊Q₈	—	2	2	no	—
212	C₁₉×C₂²⋊Q₈	—	2	2	no	—
213	C₁₉×C₂²⋊Q₈	—	2	2	no	—
214	C₁₉×C₂²⋊Q₈	—	2	1	no	—
215	C₁₉×C₂²⋊Q₈	—	2	2	no	—
216	C₁₉×C₂²⋊Q₈	—	2	2	no	—
217	C₁₉×C₂²⋊Q₈	—	2	2	no	—
218	C₁₉×C₂²⋊Q₈	—	2	2	no	—
219	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
220	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
221	C₁₉×C₂²⋊Q₈	D₄	1	2	yes	—
222	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₉×#121	—	2	1	no	—
225	C₁₉×#121	—	2	1	no	—
226	C₁₉×#121	—	2	2	no	—
227	C₁₉×#121	—	2	1	no	—
228	C₁₉×#121	—	2	2	no	—
229	C₁₉×#121	—	2	2	no	—
230	C₁₉×#121	C₂³	1	1	yes	characteristic
231	C₁₉×#121	C₂³	1	2	yes	—
232	C₁₉×#121	C₂³	1	1	yes	characteristic
233	C₁₉×#121	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₉	—	2	2	no	—
235	C₄×Q₈×C₁₉	—	2	1	no	—
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	2	yes	—
240	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
241	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
245	C₄×D₄×C₁₉	—	2	1	no	—
246	C₄×D₄×C₁₉	—	2	2	no	—
247	C₄×D₄×C₁₉	—	2	1	no	—
248	C₄×D₄×C₁₉	—	2	2	no	—
249	C₄×D₄×C₁₉	—	2	1	no	—
250	C₄×D₄×C₁₉	—	2	1	no	—
251	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	1	no	—
264	C₁₉×#117	C₂³	1	2	yes	—
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×#107	C₂³	1	2	yes	—
273	C₁₉×#107	C₂³	1	2	yes	—
274	C₁₉×#106	C₂³	1	1	yes	characteristic
275	C₁₉×#106	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	2	yes	—
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	2	yes	—
291	C₁₉×#102	C₂³	1	1	yes	characteristic
292	C₁₉×#102	C₂³	1	1	yes	characteristic
293	C₁₉×#102	C₂³	1	2	yes	—
294	C₁₉×#102	C₂³	1	2	yes	—
295	C₁₉×#102	C₂³	1	2	yes	—
296	C₁₉×#102	C₂³	1	1	yes	characteristic
297	C₁₉×#102	C₂³	1	1	yes	characteristic
298	C₁₉×#102	C₂³	1	1	yes	characteristic
299	C₁₉×#102	C₂³	1	2	yes	—
300	C₁₉×#102	C₂³	1	1	yes	characteristic
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	C₂×Q₈×C₁₉	—	2	1	no	—
316	C₂×Q₈×C₁₉	—	2	1	no	—
317	C₂×Q₈×C₁₉	—	2	2	no	—
318	C₂×Q₈×C₁₉	—	2	2	no	—
319	C₂×Q₈×C₁₉	—	2	2	no	—
320	C₂×Q₈×C₁₉	—	2	1	no	—
321	C₂×Q₈×C₁₉	—	8	2	no	—
322	C₂×Q₈×C₁₉	—	8	2	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×Q₈×C₁₉	C₂⁴	1	2	yes	—
329	C₂×D₄×C₁₉	—	2	1	no	—
330	C₂×D₄×C₁₉	—	2	2	no	—
331	C₂×D₄×C₁₉	—	2	1	no	—
332	C₂×D₄×C₁₉	—	2	1	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	2	no	—
337	C₂×D₄×C₁₉	—	2	2	no	—
338	C₂×D₄×C₁₉	—	2	1	no	—
339	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
340	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
341	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₉	—	2	1	no	—
344	C₂²×C₄×C₁₉	—	2	1	no	—
345	C₂²×C₄×C₁₉	—	2	1	no	—
346	C₂²×C₄×C₁₉	—	2	2	no	—
347	C₂²×C₄×C₁₉	—	2	2	no	—
348	C₂²×C₄×C₁₉	—	2	2	no	—
349	C₂²×C₄×C₁₉	—	2	2	no	—
350	C₂²×C₄×C₁₉	—	2	2	no	—
351	C₂²×C₄×C₁₉	—	2	2	no	—
352	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
355	Q₁₆×C₁₉	—	4	2	no	—
356	SD₁₆×C₁₉	—	2	4	no	—
357	SD₁₆×C₁₉	—	2	2	no	—
358	SD₁₆×C₁₉	—	4	2	no	—
359	SD₁₆×C₁₉	—	4	1	no	—
360	SD₁₆×C₁₉	—	4	2	no	—
361	D₈×C₁₉	—	2	2	no	—
362	D₈×C₁₉	—	4	2	no	—
363	D₈×C₁₉	—	4	2	no	—
364	D₈×C₁₉	—	4	1	no	—
365	M₁₆×C₁₉	—	2	2	no	—
366	M₁₆×C₁₉	—	4	1	no	—
367	C₂×C₈×C₁₉	—	4	2	no	—
368	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
369	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
370	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₁₉	—	2	1	no	—
375	C₄⋊C₄×C₁₉	—	2	2	no	—
376	C₄⋊C₄×C₁₉	—	2	2	no	—
377	C₄⋊C₄×C₁₉	—	2	1	no	—
378	C₄⋊C₄×C₁₉	—	2	1	no	—
379	C₄⋊C₄×C₁₉	—	2	1	no	—
380	C₄⋊C₄×C₁₉	—	2	1	no	—
381	C₄⋊C₄×C₁₉	—	2	1	no	—
382	C₄⋊C₄×C₁₉	—	2	1	no	—
383	C₄⋊C₄×C₁₉	—	2	1	no	—
384	C₄⋊C₄×C₁₉	—	2	2	no	—
385	C₄⋊C₄×C₁₉	—	2	2	no	—
386	C₄⋊C₄×C₁₉	—	2	2	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	1	no	—
393	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
394	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
395	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
396	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
397	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
398	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
399	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
400	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
401	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
406	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
408	C₂²⋊C₄×C₁₉	—	2	2	no	—
409	C₂²⋊C₄×C₁₉	—	2	1	no	—
410	C₂²⋊C₄×C₁₉	—	2	1	no	—
411	C₂²⋊C₄×C₁₉	—	2	1	no	—
412	C₂²⋊C₄×C₁₉	—	2	2	no	—
413	C₂²⋊C₄×C₁₉	—	2	2	no	—
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	2	no	—
418	C₂²⋊C₄×C₁₉	—	2	2	no	—
419	C₂²⋊C₄×C₁₉	—	2	2	no	—
420	C₂²⋊C₄×C₁₉	—	2	2	no	—
421	C₂²⋊C₄×C₁₉	—	2	2	no	—
422	C₂²⋊C₄×C₁₉	—	2	1	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	1	no	—
428	C₂²⋊C₄×C₁₉	—	2	1	no	—
429	C₂²⋊C₄×C₁₉	—	2	2	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
433	C₄²×C₁₉	—	2	1	no	—
434	C₄²×C₁₉	—	2	2	no	—
435	C₄²×C₁₉	—	2	2	no	—
436	C₄²×C₁₉	—	2	2	no	—
437	C₄²×C₁₉	—	2	2	no	—
438	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
439	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
441	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
442	C₄²×C₁₉	C₂⁴	1	2	yes	—
443	C₄²×C₁₉	C₂⁴	1	2	yes	—
444	#62403	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
445	C₂³×C₁₉	—	2	1	no	—
446	C₂³×C₁₉	—	2	1	no	—
447	C₂³×C₁₉	—	2	2	no	—
448	C₂³×C₁₉	—	2	1	no	—
449	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
450	Q₈×C₁₉	—	2	2	no	—
451	Q₈×C₁₉	—	2	2	no	—
452	Q₈×C₁₉	—	2	1	no	—
453	Q₈×C₁₉	—	2	2	no	—
454	Q₈×C₁₉	—	2	2	no	—
455	Q₈×C₁₉	—	2	1	no	—
456	Q₈×C₁₉	—	4	2	no	—
457	Q₈×C₁₉	—	4	2	no	—
458	Q₈×C₁₉	—	4	2	no	—
459	Q₈×C₁₉	—	8	2	no	—
460	Q₈×C₁₉	—	8	2	no	—
461	Q₈×C₁₉	—	8	2	no	—
462	Q₈×C₁₉	—	8	1	no	—
463	D₄×C₁₉	—	2	1	no	—
464	D₄×C₁₉	—	2	1	no	—
465	D₄×C₁₉	—	2	1	no	—
466	D₄×C₁₉	—	2	2	no	—
467	D₄×C₁₉	—	2	1	no	—
468	D₄×C₁₉	—	2	1	no	—
469	D₄×C₁₉	—	2	2	no	—
470	D₄×C₁₉	—	2	1	no	—
471	D₄×C₁₉	—	4	2	no	—
472	D₄×C₁₉	—	4	2	no	—
473	D₄×C₁₉	—	8	1	no	—
474	D₄×C₁₉	—	8	2	no	—
475	D₄×C₁₉	—	8	1	no	—
476	D₄×C₁₉	—	8	2	no	—
477	D₄×C₁₉	—	8	1	no	—
478	D₄×C₁₉	—	8	1	no	—
479	D₄×C₁₉	—	8	1	no	—
480	D₄×C₁₉	—	8	2	no	—
481	C₂×C₄×C₁₉	—	2	2	no	—
482	C₂×C₄×C₁₉	—	2	1	no	—
483	C₂×C₄×C₁₉	—	2	1	no	—
484	C₂×C₄×C₁₉	—	2	1	no	—
485	C₂×C₄×C₁₉	—	2	2	no	—
486	C₂×C₄×C₁₉	—	2	1	no	—
487	C₂×C₄×C₁₉	—	2	1	no	—
488	C₂×C₄×C₁₉	—	2	1	no	—
489	C₂×C₄×C₁₉	—	2	2	no	—
490	C₂×C₄×C₁₉	—	2	2	no	—
491	C₂×C₄×C₁₉	—	2	1	no	—
492	C₂×C₄×C₁₉	—	4	1	no	—
493	C₂×C₄×C₁₉	—	4	2	no	—
494	C₂×C₄×C₁₉	—	4	2	no	—
495	C₂×C₄×C₁₉	—	4	2	no	—
496	C₂×C₄×C₁₉	—	8	2	no	—
497	C₂×C₄×C₁₉	—	8	2	no	—
498	C₂×C₄×C₁₉	—	8	2	no	—
499	C₂×C₄×C₁₉	—	8	2	no	—
500	C₂×C₄×C₁₉	—	8	2	no	—
501	C₂×C₄×C₁₉	—	8	2	no	—
502	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
512	C₈×C₁₉	—	2	1	no	—
513	C₈×C₁₉	—	2	2	no	—
514	C₈×C₁₉	—	2	2	no	—
515	C₈×C₁₉	—	2	1	no	—
516	C₈×C₁₉	—	2	1	no	—
517	C₈×C₁₉	2₋¹⁺⁴	1	2	yes	—
518	#3554	C₂×C₁₉	1	1	yes	characteristic, complemented
519	#3550	C₂×C₁₉	1	1	yes	characteristic, complemented
520	#3403	C₂×C₁₉	1	2	yes	complemented
521	#3397	C₂×C₁₉	1	1	yes	characteristic, complemented
522	#3394	C₂×C₁₉	1	1	yes	characteristic, complemented
523	#3386	C₂×C₁₉	1	1	yes	characteristic, complemented
524	#3385	C₂×C₁₉	1	2	yes	complemented
525	Q₈×D₈	C₂×C₁₉	1	1	yes	characteristic, complemented
526	#3375	C₂×C₁₉	1	2	yes	complemented
527	#3373	C₂×C₁₉	1	1	yes	characteristic, complemented
528	#3370	C₂×C₁₉	1	2	yes	complemented
529	#3367	C₂×C₁₉	1	1	yes	characteristic, complemented
530	#3364	C₂×C₁₉	1	1	yes	characteristic, complemented
531	#3358	C₂×C₁₉	1	1	yes	characteristic, complemented
532	#3262	C₂×C₁₉	1	2	yes	complemented
533	#3257	C₂×C₁₉	1	2	yes	complemented
534	#3248	C₂×C₁₉	1	1	yes	characteristic, complemented
535	#3245	C₂×C₁₉	1	1	yes	characteristic, complemented
536	#3182	C₂×C₁₉	1	1	yes	characteristic, complemented
537	#3179	C₂×C₁₉	1	2	yes	complemented
538	#3175	C₂×C₁₉	1	2	yes	complemented
539	#3171	C₂×C₁₉	1	1	yes	characteristic, complemented
540	#2962	C₂×C₁₉	1	1	yes	characteristic, complemented
541	C₂²×C₁₉	—	2	1	no	—
542	C₂²×C₁₉	—	2	1	no	—
543	C₂²×C₁₉	—	2	1	no	—
544	C₂²×C₁₉	—	4	2	no	—
545	C₂²×C₁₉	—	4	1	no	—
546	C₂²×C₁₉	—	4	1	no	—
547	C₂²×C₁₉	—	4	1	no	—
548	C₂²×C₁₉	—	4	1	no	—
549	C₂²×C₁₉	—	4	1	no	—
550	C₂²×C₁₉	—	4	1	no	—
551	C₂²×C₁₉	—	4	2	no	—
552	C₂²×C₁₉	—	4	1	no	—
553	C₂²×C₁₉	—	4	1	no	—
554	C₂²×C₁₉	—	4	1	no	—
555	C₂²×C₁₉	—	4	2	no	—
556	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
557	C₄×C₁₉	—	2	1	no	—
558	C₄×C₁₉	—	2	1	no	—
559	C₄×C₁₉	—	2	2	no	—
560	C₄×C₁₉	—	2	2	no	—
561	C₄×C₁₉	—	2	1	no	—
562	C₄×C₁₉	—	2	1	no	—
563	C₄×C₁₉	—	2	2	no	—
564	C₄×C₁₉	—	2	2	no	—
565	C₄×C₁₉	—	4	1	no	—
566	C₄×C₁₉	—	4	1	no	—
567	C₄×C₁₉	—	4	2	no	—
568	C₄×C₁₉	—	4	1	no	—
569	C₄×C₁₉	—	4	1	no	—
570	C₄×C₁₉	—	4	1	no	—
571	C₄×C₁₉	—	4	2	no	—
572	C₄×C₁₉	—	4	2	no	—
573	C₄×C₁₉	#576	1	2	yes	—
574	C₄×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
575	C₄×C₁₉	#585	1	1	yes	characteristic
576	#563	—	2	2	no	—
577	#562	—	2	2	no	—
578	#559	C₂²×C₁₉	1	2	yes	—
579	#559	C₂²×C₁₉	1	1	yes	characteristic
580	#559	C₂²×C₁₉	1	2	yes	—
581	Q₈²	C₂²×C₁₉	1	2	yes	—
582	#557	C₂²×C₁₉	1	1	yes	characteristic
583	#556	—	2	1	no	—
584	#556	C₂²×C₁₉	1	1	yes	characteristic
585	#556	C₂²×C₁₉	1	1	yes	characteristic
586	#554	C₂²×C₁₉	1	2	yes	—
587	#550	C₂²×C₁₉	1	1	yes	characteristic
588	D₄×Q₈	—	2	1	no	—
589	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
590	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
591	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
592	#548	—	2	1	no	—
593	#547	—	2	1	no	—
594	#542	—	2	1	no	—
595	#542	—	2	2	no	—
596	#542	C₂²×C₁₉	1	2	yes	—
597	#542	C₂²×C₁₉	1	2	yes	—
598	#542	C₂²×C₁₉	1	2	yes	—
599	#540	C₂²×C₁₉	1	2	yes	—
600	#539	—	2	2	no	—
601	#536	—	2	1	no	—
602	#536	—	2	1	no	—
603	#536	—	2	1	no	—
604	#533	C₂²×C₁₉	1	1	yes	characteristic
605	#533	C₂²×C₁₉	1	1	yes	characteristic
606	#532	C₂²×C₁₉	1	1	yes	characteristic
607	#532	C₂²×C₁₉	1	1	yes	characteristic
608	#529	C₂²×C₁₉	1	1	yes	characteristic
609	#501	C₂²×C₁₉	1	1	yes	characteristic
610	#501	C₂²×C₁₉	1	2	yes	—
611	#500	C₂²×C₁₉	1	2	yes	—
612	#500	C₂²×C₁₉	1	1	yes	characteristic
613	#496	C₂²×C₁₉	1	2	yes	—
614	#496	C₂²×C₁₉	1	1	yes	characteristic
615	#495	C₂²×C₁₉	1	2	yes	—
616	#492	C₂²×C₁₉	1	1	yes	characteristic
617	#490	C₂²×C₁₉	1	1	yes	characteristic
618	#489	C₂²×C₁₉	1	2	yes	—
619	#489	C₂²×C₁₉	1	2	yes	—
620	#489	C₂²×C₁₉	1	1	yes	characteristic
621	#488	C₂²×C₁₉	1	2	yes	—
622	#487	C₂²×C₁₉	1	1	yes	characteristic
623	#486	C₂²×C₁₉	1	1	yes	characteristic
624	#486	C₂²×C₁₉	1	2	yes	—
625	#479	C₂²×C₁₉	1	2	yes	—
626	#479	C₂²×C₁₉	1	2	yes	—
627	#478	C₂²×C₁₉	1	2	yes	—
628	#477	C₂²×C₁₉	1	2	yes	—
629	#477	C₂²×C₁₉	1	2	yes	—
630	#476	C₂²×C₁₉	1	2	yes	—
631	#475	C₂²×C₁₉	1	1	yes	characteristic
632	#474	C₂²×C₁₉	1	1	yes	characteristic
633	#474	C₂²×C₁₉	1	2	yes	—
634	#474	C₂²×C₁₉	1	1	yes	characteristic
635	#474	C₂²×C₁₉	1	1	yes	characteristic
636	#474	C₂²×C₁₉	1	2	yes	—
637	#474	C₂²×C₁₉	1	2	yes	—
638	#474	C₂²×C₁₉	1	2	yes	—
639	#469	C₂²×C₁₉	1	1	yes	characteristic
640	#469	C₂²×C₁₉	1	1	yes	characteristic
641	#468	C₂²×C₁₉	1	1	yes	characteristic
642	#468	C₂²×C₁₉	1	1	yes	characteristic
643	#468	C₂²×C₁₉	1	2	yes	—
644	#468	C₂²×C₁₉	1	2	yes	—
645	#467	C₂²×C₁₉	1	2	yes	—
646	#466	C₂²×C₁₉	1	2	yes	—
647	#466	C₂²×C₁₉	1	2	yes	—
648	#465	C₂²×C₁₉	1	2	yes	—
649	#464	C₂²×C₁₉	1	2	yes	—
650	#464	C₂²×C₁₉	1	2	yes	—
651	#464	C₂²×C₁₉	1	2	yes	—
652	#463	C₂²×C₁₉	1	2	yes	—
653	#463	C₂²×C₁₉	1	2	yes	—
654	#463	C₂²×C₁₉	1	2	yes	—
655	#463	C₂²×C₁₉	1	2	yes	—
656	#462	C₂²×C₁₉	1	1	yes	characteristic
657	#461	C₂²×C₁₉	1	1	yes	characteristic
658	#460	C₂²×C₁₉	1	2	yes	—
659	#459	C₂²×C₁₉	1	1	yes	characteristic
660	#459	C₂²×C₁₉	1	2	yes	—
661	#459	C₂²×C₁₉	1	2	yes	—
662	#459	C₂²×C₁₉	1	1	yes	characteristic
663	#446	C₂²×C₁₉	1	1	yes	characteristic
664	#446	C₂²×C₁₉	1	2	yes	—
665	#446	C₂²×C₁₉	1	2	yes	—
666	#446	C₂²×C₁₉	1	1	yes	characteristic
667	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic
668	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic
669	#442	C₂²×C₁₉	1	2	yes	—
670	#440	C₂²×C₁₉	1	2	yes	—
671	#440	C₂²×C₁₉	1	2	yes	—
672	#440	C₂²×C₁₉	1	2	yes	—
673	#440	C₂²×C₁₉	1	2	yes	—
674	#440	C₂²×C₁₉	1	2	yes	—
675	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
676	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
677	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	—
678	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
679	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
680	C₄×D₈	C₂²×C₁₉	1	2	yes	—
681	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
682	C₄×D₈	C₂²×C₁₉	1	2	yes	—
683	#424	C₂²×C₁₉	1	2	yes	—
684	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
685	#405	C₂²×C₁₉	1	2	yes	—
686	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
687	C₂×C₁₉	—	4	1	no	—
688	C₂×C₁₉	—	8	2	no	—
689	C₂×C₁₉	—	8	1	no	—
690	C₂×C₁₉	—	8	1	no	—
691	C₂×C₁₉	—	8	1	no	—
692	C₂×C₁₉	#3497	1	1	yes	characteristic
693	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
694	C₂×C₁₉	#3586	1	1	yes	characteristic
695	C₂×#41	—	2	1	no	—
696	C₂×#41	—	2	1	no	—
697	C₂×#41	—	2	1	no	—
698	C₂²×Q₈	—	2	1	no	—
699	C₂²×Q₈	—	2	1	no	—
700	C₂²×Q₈	—	2	1	no	—
701	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
704	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
707	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
708	C₂×D₈	C₂³×C₁₉	1	2	yes	—
709	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
710	C₂×D₈	C₂³×C₁₉	1	2	yes	—
711	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
712	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
713	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	2	no	—
716	C₄⋊Q₈	—	2	2	no	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
719	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
725	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
726	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
727	#127	C₂³×C₁₉	1	1	yes	characteristic
728	#127	C₂³×C₁₉	1	1	yes	characteristic
729	#127	C₂³×C₁₉	1	2	yes	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	—	2	2	no	—
735	#126	—	2	1	no	—
736	#125	—	2	2	no	—
737	#125	—	2	1	no	—
738	#125	D₄×C₁₉	1	2	yes	—
739	#125	C₂³×C₁₉	1	1	yes	characteristic
740	#125	C₂³×C₁₉	1	2	yes	—
741	#124	—	2	1	no	—
742	#124	—	2	2	no	—
743	#124	—	2	2	no	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	—	2	2	no	—
747	#124	—	2	1	no	—
748	#124	—	2	1	no	—
749	#124	C₂³×C₁₉	1	1	yes	characteristic
750	#124	C₂³×C₁₉	1	2	yes	—
751	#124	C₂³×C₁₉	1	2	yes	—
752	#124	C₂³×C₁₉	1	2	yes	—
753	#123	—	2	1	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	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	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	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	1	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	D₄×C₁₉	1	1	yes	characteristic
780	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
781	C₂²⋊Q₈	D₄×C₁₉	1	2	yes	—
782	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
783	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
784	#121	—	2	1	no	—
785	#121	—	2	1	no	—
786	#121	—	2	2	no	—
787	#121	—	2	1	no	—
788	#121	—	2	2	no	—
789	#121	—	2	2	no	—
790	#121	C₂³×C₁₉	1	1	yes	characteristic
791	#121	C₂³×C₁₉	1	2	yes	—
792	#121	C₂³×C₁₉	1	1	yes	characteristic
793	#121	C₂³×C₁₉	1	1	yes	characteristic
794	C₄×Q₈	—	2	2	no	—
795	C₄×Q₈	—	2	1	no	—
796	C₄×Q₈	—	2	1	no	—
797	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
800	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
802	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
803	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
804	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
812	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
813	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
814	C₄×D₄	C₂³×C₁₉	1	2	yes	—
815	C₄×D₄	C₂³×C₁₉	1	2	yes	—
816	C₄×D₄	C₂³×C₁₉	1	2	yes	—
817	C₄×D₄	C₂³×C₁₉	1	2	yes	—
818	C₄×D₄	C₂³×C₁₉	1	2	yes	—
819	C₄×D₄	C₂³×C₁₉	1	2	yes	—
820	#117	—	2	1	no	—
821	#117	—	2	1	no	—
822	#117	—	2	1	no	—
823	#117	—	2	1	no	—
824	#117	C₂³×C₁₉	1	2	yes	—
825	C₂×C₄⋊C₄	—	2	2	no	—
826	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
827	#107	C₂³×C₁₉	1	2	yes	—
828	#107	C₂³×C₁₉	1	1	yes	characteristic
829	#107	C₂³×C₁₉	1	2	yes	—
830	#107	C₂³×C₁₉	1	1	yes	characteristic
831	#107	C₂³×C₁₉	1	2	yes	—
832	#107	C₂³×C₁₉	1	2	yes	—
833	#107	C₂³×C₁₉	1	2	yes	—
834	#106	C₂³×C₁₉	1	1	yes	characteristic
835	#106	C₂³×C₁₉	1	1	yes	characteristic
836	#106	C₂³×C₁₉	1	2	yes	—
837	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
839	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
840	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
841	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
842	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
843	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
844	#103	C₂³×C₁₉	1	1	yes	characteristic
845	#103	C₂³×C₁₉	1	2	yes	—
846	#103	C₂³×C₁₉	1	1	yes	characteristic
847	#103	C₂³×C₁₉	1	2	yes	—
848	#103	C₂³×C₁₉	1	2	yes	—
849	#103	C₂³×C₁₉	1	2	yes	—
850	#103	C₂³×C₁₉	1	2	yes	—
851	#102	C₂³×C₁₉	1	1	yes	characteristic
852	#102	C₂³×C₁₉	1	1	yes	characteristic
853	#102	C₂³×C₁₉	1	2	yes	—
854	#102	C₂³×C₁₉	1	2	yes	—
855	#102	C₂³×C₁₉	1	2	yes	—
856	#102	C₂³×C₁₉	1	1	yes	characteristic
857	#102	C₂³×C₁₉	1	1	yes	characteristic
858	#102	C₂³×C₁₉	1	1	yes	characteristic
859	#102	C₂³×C₁₉	1	2	yes	—
860	#102	C₂³×C₁₉	1	1	yes	characteristic
861	#102	C₂³×C₁₉	1	2	yes	—
862	#102	C₂³×C₁₉	1	2	yes	—
863	#102	C₂³×C₁₉	1	2	yes	—
864	#97	C₂³×C₁₉	1	1	yes	characteristic
865	#97	C₂³×C₁₉	1	1	yes	characteristic
866	#97	C₂³×C₁₉	1	2	yes	—
867	#97	C₂³×C₁₉	1	2	yes	—
868	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
869	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
870	C₄×C₈	C₂³×C₁₉	1	2	yes	—
871	C₄×C₈	C₂³×C₁₉	1	2	yes	—
872	C₁₉	#62403	1	1	yes	characteristic, direct product factor, Sylow
873	#41	—	8	2	no	—
874	#41	—	8	2	no	—
875	#41	—	8	2	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	2	1	no	—
882	C₂×Q₈	—	8	2	no	—
883	C₂×Q₈	—	8	2	no	—
884	C₂×Q₈	—	8	2	no	—
885	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
886	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
887	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
888	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
889	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
890	C₂×D₄	—	2	1	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
901	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
902	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
903	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
914	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
915	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
916	Q₁₆	—	4	2	no	—
917	SD₁₆	—	2	4	no	—
918	SD₁₆	—	2	2	no	—
919	SD₁₆	—	4	2	no	—
920	SD₁₆	—	4	1	no	—
921	SD₁₆	—	4	2	no	—
922	D₈	—	2	2	no	—
923	D₈	—	4	2	no	—
924	D₈	—	4	2	no	—
925	D₈	—	4	1	no	—
926	M₁₆	—	2	2	no	—
927	M₁₆	—	4	1	no	—
928	C₂×C₈	—	4	2	no	—
929	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
931	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
932	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
933	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
934	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
955	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
956	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
957	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
959	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
960	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
962	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
963	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
964	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
966	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	1	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
993	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	2	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	2	no	—
999	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1000	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1001	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1002	C₄²	C₂⁴×C₁₉	1	2	yes	—
1003	C₄²	C₂⁴×C₁₉	1	2	yes	—
1004	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1005	C₂³	—	2	1	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1010	Q₈	—	2	2	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	1	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	2	2	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	4	2	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	8	2	no	—
1020	Q₈	—	8	2	no	—
1021	Q₈	—	8	2	no	—
1022	Q₈	—	8	1	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	2	1	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	1	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	2	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	8	1	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	1	no	—
1036	D₄	—	8	2	no	—
1037	D₄	—	8	1	no	—
1038	D₄	—	8	1	no	—
1039	D₄	—	8	2	no	—
1040	D₄	—	8	1	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	4	1	no	—
1053	C₂×C₄	—	4	2	no	—
1054	C₂×C₄	—	4	2	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	—	8	2	no	—
1061	C₂×C₄	—	8	2	no	—
1062	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1064	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1066	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1067	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1068	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1070	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1071	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1072	C₈	—	2	1	no	—
1073	C₈	—	2	2	no	—
1074	C₈	—	2	2	no	—
1075	C₈	—	2	1	no	—
1076	C₈	—	2	1	no	—
1077	C₈	C₁₉×2₋¹⁺⁴	1	2	yes	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	—	4	1	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1094	C₄	—	2	1	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	1	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	2	no	—
1108	C₄	—	4	2	no	—
1109	C₄	—	4	1	no	—
1110	C₄	C₁₉×#576	1	2	yes	—
1111	C₄	C₂×C₁₉×2₋¹⁺⁴	1	1	yes	characteristic
1112	C₄	C₁₉×#585	1	1	yes	characteristic
1113	C₂	—	4	1	no	—
1114	C₂	—	8	1	no	—
1115	C₂	—	8	1	no	—
1116	C₂	—	8	1	no	—
1117	C₂	—	8	2	no	—
1118	C₂	C₁₉×#3497	1	1	yes	characteristic
1119	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
1120	C₂	C₁₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#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×#3550	C₂	semidirect
3. C₁₉×#3403	C₂	semidirect
4. C₁₉×#3397	C₂	semidirect
5. C₁₉×#3394	C₂	semidirect
6. C₁₉×#3386	C₂	semidirect
7. C₁₉×#3385	C₂	semidirect
8. Q₈×D₈×C₁₉	C₂	semidirect
9. C₁₉×#3375	C₂	semidirect
10. C₁₉×#3373	C₂	semidirect
11. C₁₉×#3370	C₂	semidirect
12. C₁₉×#3367	C₂	semidirect
13. C₁₉×#3364	C₂	semidirect
14. C₁₉×#3358	C₂	semidirect
15. C₁₉×#3262	C₂	semidirect
16. C₁₉×#3257	C₂	semidirect
17. C₁₉×#3248	C₂	semidirect
18. C₁₉×#3245	C₂	semidirect
19. C₁₉×#3182	C₂	semidirect
20. C₁₉×#3179	C₂	semidirect
21. C₁₉×#3175	C₂	semidirect
22. C₁₉×#3171	C₂	semidirect
23. C₁₉×#2962	C₂	semidirect
444. #62403	C₁₉	direct (N × H)
518. #3554	C₂×C₁₉	semidirect
519. #3550	C₂×C₁₉	semidirect
520. #3403	C₂×C₁₉	semidirect
521. #3397	C₂×C₁₉	semidirect
522. #3394	C₂×C₁₉	semidirect
523. #3386	C₂×C₁₉	semidirect
524. #3385	C₂×C₁₉	semidirect
525. Q₈×D₈	C₂×C₁₉	semidirect
526. #3375	C₂×C₁₉	semidirect
527. #3373	C₂×C₁₉	semidirect
528. #3370	C₂×C₁₉	semidirect
529. #3367	C₂×C₁₉	semidirect
530. #3364	C₂×C₁₉	semidirect
531. #3358	C₂×C₁₉	semidirect
532. #3262	C₂×C₁₉	semidirect
533. #3257	C₂×C₁₉	semidirect
534. #3248	C₂×C₁₉	semidirect
535. #3245	C₂×C₁₉	semidirect
536. #3182	C₂×C₁₉	semidirect
537. #3179	C₂×C₁₉	semidirect
538. #3175	C₂×C₁₉	semidirect
539. #3171	C₂×C₁₉	semidirect
540. #2962	C₂×C₁₉	semidirect
872. C₁₉	#62403	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×#3550	2
C₁₉×#3403	2
C₁₉×#3397	2
C₁₉×#3394	2
C₁₉×#3386	2
C₁₉×#3385	2
Q₈×D₈×C₁₉	2
C₁₉×#3375	2
C₁₉×#3373	2
C₁₉×#3370	2
C₁₉×#3367	2
C₁₉×#3364	2
C₁₉×#3358	2
C₁₉×#3262	2
C₁₉×#3257	2
C₁₉×#3248	2
C₁₉×#3245	2
C₁₉×#3182	2
C₁₉×#3179	2
C₁₉×#3175	2
C₁₉×#3171	2
C₁₉×#2962	2
#62403	19

Subgroups — C19×#62403 #18068362

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62403 #18068362