Subgroups — C₁₉×#62356 #18068315

Order 4864.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1172 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3548	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3354	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3344	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3335	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3331	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3330	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3317	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3316	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3303	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3298	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3283	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3271	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3248	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3246	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3204	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3201	C₂	1	2	yes	maximal, complemented
19	C₁₉×#3185	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3063	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3060	C₂	1	2	yes	maximal, complemented
23	C₁₉×#2935	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×#137	C₂²	1	2	yes	—
25	C₂×C₁₉×#135	C₂²	1	2	yes	—
26	C₂×C₁₉×#131	C₂²	1	2	yes	—
27	C₁₉×#562	—	2	2	no	—
28	C₁₉×#562	—	2	2	no	—
29	C₁₉×#555	—	2	1	no	—
30	C₁₉×#555	C₂²	1	1	yes	characteristic
31	C₁₉×#554	—	2	1	no	—
32	C₁₉×#554	C₂²	1	1	yes	characteristic
33	C₁₉×#554	C₂²	1	2	yes	—
34	C₁₉×#553	—	2	1	no	—
35	C₁₉×#552	C₂²	1	2	yes	—
36	C₁₉×#550	—	2	1	no	—
37	C₁₉×#550	C₂²	1	2	yes	—
38	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
39	C₁₉×#548	C₂²	1	2	yes	—
40	C₁₉×#547	C₂²	1	1	yes	characteristic
41	C₁₉×#547	C₂²	1	1	yes	characteristic
42	C₁₉×#547	C₂²	1	1	yes	characteristic
43	C₁₉×#547	C₂²	1	1	yes	characteristic
44	C₁₉×#547	C₂²	1	1	yes	characteristic
45	C₁₉×#544	—	2	1	no	—
46	C₁₉×#542	—	2	2	no	—
47	C₁₉×#540	—	2	1	no	—
48	C₁₉×#540	—	2	2	no	—
49	C₁₉×#537	—	2	1	no	—
50	C₁₉×#537	—	2	1	no	—
51	C₁₉×#537	C₂²	1	2	yes	—
52	C₁₉×#537	C₂²	1	2	yes	—
53	C₁₉×#537	C₂²	1	2	yes	—
54	C₁₉×#536	C₂²	1	2	yes	—
55	C₁₉×#533	C₂²	1	1	yes	characteristic
56	C₁₉×#533	C₂²	1	1	yes	characteristic
57	C₁₉×#532	C₂²	1	1	yes	characteristic
58	C₁₉×#532	C₂²	1	1	yes	characteristic
59	C₁₉×#529	C₂²	1	1	yes	characteristic
60	C₁₉×#501	C₂²	1	1	yes	characteristic
61	C₁₉×#498	C₂²	1	1	yes	characteristic
62	C₁₉×#496	C₂²	1	1	yes	characteristic
63	C₁₉×#494	C₂²	1	1	yes	characteristic
64	C₁₉×#490	C₂²	1	1	yes	characteristic
65	C₁₉×#489	C₂²	1	1	yes	characteristic
66	C₁₉×#487	C₂²	1	1	yes	characteristic
67	C₁₉×#487	C₂²	1	1	yes	characteristic
68	C₁₉×#485	C₂²	1	2	yes	—
69	C₁₉×#484	C₂²	1	2	yes	—
70	C₁₉×#483	C₂²	1	2	yes	—
71	C₁₉×#483	C₂²	1	2	yes	—
72	C₁₉×#483	C₂²	1	2	yes	—
73	C₁₉×#482	C₂²	1	2	yes	—
74	C₁₉×#481	C₂²	1	2	yes	—
75	C₁₉×#481	C₂²	1	2	yes	—
76	C₁₉×#479	C₂²	1	2	yes	—
77	C₁₉×#476	C₂²	1	1	yes	characteristic
78	C₁₉×#476	C₂²	1	1	yes	characteristic
79	C₁₉×#475	C₂²	1	2	yes	—
80	C₁₉×#475	C₂²	1	1	yes	characteristic
81	C₁₉×#474	C₂²	1	1	yes	characteristic
82	C₁₉×#470	C₂²	1	2	yes	—
83	C₁₉×#470	C₂²	1	2	yes	—
84	C₁₉×#470	C₂²	1	2	yes	—
85	C₁₉×#470	C₂²	1	2	yes	—
86	C₁₉×#469	C₂²	1	1	yes	characteristic
87	C₁₉×#469	C₂²	1	1	yes	characteristic
88	C₁₉×#469	C₂²	1	2	yes	—
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×#467	C₂²	1	2	yes	—
93	C₁₉×#467	C₂²	1	2	yes	—
94	C₁₉×#465	C₂²	1	2	yes	—
95	C₁₉×#465	C₂²	1	2	yes	—
96	C₁₉×#465	C₂²	1	2	yes	—
97	C₁₉×#465	C₂²	1	2	yes	—
98	C₁₉×#465	C₂²	1	2	yes	—
99	C₁₉×#465	C₂²	1	2	yes	—
100	C₁₉×#464	C₂²	1	2	yes	—
101	C₁₉×#462	C₂²	1	1	yes	characteristic
102	C₁₉×#461	C₂²	1	1	yes	characteristic
103	C₁₉×#461	C₂²	1	1	yes	characteristic
104	C₁₉×#461	C₂²	1	1	yes	characteristic
105	C₁₉×#460	C₂²	1	2	yes	—
106	C₁₉×#452	C₂²	1	2	yes	—
107	C₁₉×#452	C₂²	1	2	yes	—
108	C₁₉×#452	C₂²	1	2	yes	—
109	C₁₉×#452	C₂²	1	2	yes	—
110	C₁₉×#451	C₂²	1	2	yes	—
111	C₁₉×#449	C₂²	1	2	yes	—
112	C₁₉×#449	C₂²	1	2	yes	—
113	C₁₉×#448	C₂²	1	2	yes	—
114	C₁₉×#441	C₂²	1	2	yes	—
115	C₁₉×#441	C₂²	1	2	yes	—
116	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
117	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
118	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
119	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic
120	C₁₉×#436	C₂²	1	1	yes	characteristic
121	C₁₉×#436	C₂²	1	1	yes	characteristic
122	C₁₉×#435	C₂²	1	2	yes	—
123	C₁₉×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
125	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
126	C₁₉×#428	C₂²	1	2	yes	—
127	C₂×C₁₉×#106	C₂²	1	2	yes	—
128	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
129	C₁₉×#417	C₂²	1	2	yes	—
130	C₁₉×#417	C₂²	1	2	yes	—
131	C₁₉×#416	C₂²	1	2	yes	—
132	C₂×C₁₉×#103	C₂²	1	2	yes	—
133	C₁₉×#408	C₂²	1	2	yes	—
134	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
135	C₂×#41×C₁₉	—	2	1	no	—
136	C₂×#41×C₁₉	—	2	1	no	—
137	C₂×#41×C₁₉	—	2	1	no	—
138	C₂×#41×C₁₉	C₂³	1	2	yes	—
139	C₂×#41×C₁₉	C₂³	1	2	yes	—
140	C₂×#41×C₁₉	C₂³	1	2	yes	—
141	C₂×#41×C₁₉	C₂³	1	2	yes	—
142	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
143	C₁₉×#137	—	4	4	no	—
144	C₁₉×#135	—	4	4	no	—
145	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
146	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
149	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
150	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
151	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
152	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
155	C₁₉×#131	—	4	4	no	—
156	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
157	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
158	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
159	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
162	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
163	C₁₉×C₄⋊Q₈	—	2	2	no	—
164	C₁₉×C₄⋊Q₈	—	2	1	no	—
165	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
166	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×#127	—	2	2	no	—
172	C₁₉×#127	D₄	1	1	yes	characteristic
173	C₁₉×#127	C₂³	1	1	yes	characteristic
174	C₁₉×#126	—	2	2	no	—
175	C₁₉×#126	—	2	1	no	—
176	C₁₉×#125	—	2	2	no	—
177	C₁₉×#125	—	2	2	no	—
178	C₁₉×#125	—	2	1	no	—
179	C₁₉×#125	—	2	1	no	—
180	C₁₉×#125	—	2	1	no	—
181	C₁₉×#125	C₂³	1	1	yes	characteristic
182	C₁₉×#124	—	2	2	no	—
183	C₁₉×#124	—	2	2	no	—
184	C₁₉×#124	—	2	2	no	—
185	C₁₉×#124	—	2	1	no	—
186	C₁₉×#124	D₄	1	2	yes	—
187	C₁₉×#124	C₂³	1	1	yes	characteristic
188	C₁₉×#123	—	2	2	no	—
189	C₁₉×#123	—	2	2	no	—
190	C₁₉×#123	—	2	2	no	—
191	C₁₉×#123	—	2	1	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×#123	—	2	2	no	—
197	C₁₉×C₂²⋊Q₈	—	2	2	no	—
198	C₁₉×C₂²⋊Q₈	—	2	2	no	—
199	C₁₉×C₂²⋊Q₈	—	2	2	no	—
200	C₁₉×C₂²⋊Q₈	—	2	1	no	—
201	C₁₉×C₂²⋊Q₈	—	2	1	no	—
202	C₁₉×C₂²⋊Q₈	—	2	1	no	—
203	C₁₉×C₂²⋊Q₈	—	2	1	no	—
204	C₁₉×C₂²⋊Q₈	—	2	2	no	—
205	C₁₉×C₂²⋊Q₈	—	2	2	no	—
206	C₁₉×C₂²⋊Q₈	—	2	2	no	—
207	C₁₉×C₂²⋊Q₈	—	2	2	no	—
208	C₁₉×C₂²⋊Q₈	—	2	2	no	—
209	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₉×#121	—	2	2	no	—
218	C₁₉×#121	—	2	2	no	—
219	C₁₉×#121	—	2	2	no	—
220	C₁₉×#121	—	2	2	no	—
221	C₁₉×#121	—	2	1	no	—
222	C₁₉×#121	—	2	1	no	—
223	C₁₉×#121	—	2	2	no	—
224	C₁₉×#121	—	2	2	no	—
225	C₁₉×#121	—	2	2	no	—
226	C₁₉×#121	—	2	2	no	—
227	C₁₉×#121	—	2	2	no	—
228	C₁₉×#121	—	2	1	no	—
229	C₁₉×#121	—	2	2	no	—
230	C₁₉×#121	—	2	1	no	—
231	C₁₉×#121	—	2	1	no	—
232	C₁₉×#121	—	2	2	no	—
233	C₁₉×#121	—	2	2	no	—
234	C₁₉×#121	D₄	1	1	yes	characteristic
235	C₁₉×#121	D₄	1	1	yes	characteristic
236	C₁₉×#121	D₄	1	2	yes	—
237	C₁₉×#121	C₂³	1	2	yes	—
238	C₁₉×#121	C₂³	1	2	yes	—
239	C₁₉×#121	C₂³	1	2	yes	—
240	C₁₉×#121	C₂³	1	1	yes	characteristic
241	C₁₉×#121	C₂³	1	1	yes	characteristic
242	C₁₉×#121	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₁₉	—	2	1	no	—
244	C₄×Q₈×C₁₉	—	2	1	no	—
245	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
246	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
248	C₄×D₄×C₁₉	—	2	1	no	—
249	C₄×D₄×C₁₉	—	2	2	no	—
250	C₄×D₄×C₁₉	—	2	1	no	—
251	C₄×D₄×C₁₉	—	2	1	no	—
252	C₄×D₄×C₁₉	—	2	2	no	—
253	C₄×D₄×C₁₉	—	2	2	no	—
254	C₄×D₄×C₁₉	—	2	1	no	—
255	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₉	C₂³	1	2	yes	—
261	C₁₉×#117	—	2	1	no	—
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	1	no	—
264	C₁₉×#117	—	2	2	no	—
265	C₁₉×#117	—	2	1	no	—
266	C₁₉×#117	C₂³	1	2	yes	—
267	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
268	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
269	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
270	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
271	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
272	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#107	C₂³	1	1	yes	characteristic
275	C₁₉×#107	C₂³	1	2	yes	—
276	C₁₉×#107	C₂³	1	1	yes	characteristic
277	C₁₉×#106	C₂³	1	1	yes	characteristic
278	C₁₉×#106	C₂³	1	2	yes	—
279	C₁₉×#106	C₂³	1	2	yes	—
280	C₁₉×#106	C₂³	1	2	yes	—
281	C₁₉×#106	C₂³	1	2	yes	—
282	C₁₉×#106	C₂³	1	1	yes	characteristic
283	C₁₉×#106	C₂³	1	2	yes	—
284	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	1	yes	characteristic
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	2	yes	—
291	C₁₉×#103	C₂³	1	2	yes	—
292	C₁₉×#103	C₂³	1	2	yes	—
293	C₁₉×#103	C₂³	1	2	yes	—
294	C₁₉×#103	C₂³	1	2	yes	—
295	C₁₉×#103	C₂³	1	1	yes	characteristic
296	C₁₉×#103	C₂³	1	2	yes	—
297	C₁₉×#103	C₂³	1	2	yes	—
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	1	yes	characteristic
302	C₁₉×#102	C₂³	1	2	yes	—
303	C₁₉×#102	C₂³	1	2	yes	—
304	C₁₉×#102	C₂³	1	1	yes	characteristic
305	C₁₉×#102	C₂³	1	1	yes	characteristic
306	C₁₉×#102	C₂³	1	1	yes	characteristic
307	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	1	yes	characteristic
312	C₁₉×#97	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
315	#41×C₁₉	—	4	2	no	—
316	#41×C₁₉	—	4	2	no	—
317	#41×C₁₉	—	4	2	no	—
318	#41×C₁₉	—	4	2	no	—
319	#41×C₁₉	—	4	2	no	—
320	#41×C₁₉	—	4	2	no	—
321	#41×C₁₉	—	4	2	no	—
322	#41×C₁₉	—	4	2	no	—
323	#41×C₁₉	—	8	2	no	—
324	#41×C₁₉	—	8	2	no	—
325	#41×C₁₉	—	8	2	no	—
326	C₂×Q₈×C₁₉	—	2	1	no	—
327	C₂×Q₈×C₁₉	—	2	1	no	—
328	C₂×Q₈×C₁₉	—	2	1	no	—
329	C₂×Q₈×C₁₉	—	2	2	no	—
330	C₂×Q₈×C₁₉	—	4	2	no	—
331	C₂×Q₈×C₁₉	—	4	2	no	—
332	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
333	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
335	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
336	C₂×D₄×C₁₉	—	2	1	no	—
337	C₂×D₄×C₁₉	—	2	2	no	—
338	C₂×D₄×C₁₉	—	2	1	no	—
339	C₂×D₄×C₁₉	—	2	1	no	—
340	C₂×D₄×C₁₉	—	2	2	no	—
341	C₂×D₄×C₁₉	—	2	2	no	—
342	C₂×D₄×C₁₉	—	2	2	no	—
343	C₂×D₄×C₁₉	—	2	2	no	—
344	C₂×D₄×C₁₉	—	2	2	no	—
345	C₂×D₄×C₁₉	—	2	1	no	—
346	C₂×D₄×C₁₉	—	2	1	no	—
347	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
349	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
351	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
352	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
353	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
354	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
355	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	1	no	—
361	C₂²×C₄×C₁₉	—	2	1	no	—
362	C₂²×C₄×C₁₉	—	2	1	no	—
363	C₂²×C₄×C₁₉	—	2	2	no	—
364	C₂²×C₄×C₁₉	—	2	2	no	—
365	C₂²×C₄×C₁₉	—	2	2	no	—
366	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
367	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
368	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
371	Q₁₆×C₁₉	—	2	4	no	—
372	Q₁₆×C₁₉	—	4	2	no	—
373	Q₁₆×C₁₉	—	4	2	no	—
374	SD₁₆×C₁₉	—	2	2	no	—
375	SD₁₆×C₁₉	—	4	1	no	—
376	SD₁₆×C₁₉	—	4	2	no	—
377	SD₁₆×C₁₉	—	4	2	no	—
378	SD₁₆×C₁₉	—	4	2	no	—
379	D₈×C₁₉	—	2	2	no	—
380	D₈×C₁₉	—	4	1	no	—
381	M₁₆×C₁₉	—	2	2	no	—
382	M₁₆×C₁₉	—	2	4	no	—
383	M₁₆×C₁₉	—	4	1	no	—
384	M₁₆×C₁₉	—	4	2	no	—
385	C₂×C₈×C₁₉	—	2	4	no	—
386	C₂×C₈×C₁₉	—	4	2	no	—
387	C₂×C₈×C₁₉	—	4	2	no	—
388	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
389	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
391	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
392	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
393	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
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	2	no	—
399	C₄⋊C₄×C₁₉	—	2	2	no	—
400	C₄⋊C₄×C₁₉	—	2	2	no	—
401	C₄⋊C₄×C₁₉	—	2	2	no	—
402	C₄⋊C₄×C₁₉	—	2	1	no	—
403	C₄⋊C₄×C₁₉	—	2	1	no	—
404	C₄⋊C₄×C₁₉	—	2	2	no	—
405	C₄⋊C₄×C₁₉	—	2	1	no	—
406	C₄⋊C₄×C₁₉	—	2	1	no	—
407	C₄⋊C₄×C₁₉	—	2	1	no	—
408	C₄⋊C₄×C₁₉	—	2	1	no	—
409	C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₄⋊C₄×C₁₉	—	2	2	no	—
411	C₄⋊C₄×C₁₉	—	2	2	no	—
412	C₄⋊C₄×C₁₉	—	2	2	no	—
413	C₄⋊C₄×C₁₉	—	2	1	no	—
414	C₄⋊C₄×C₁₉	—	2	2	no	—
415	C₄⋊C₄×C₁₉	—	2	2	no	—
416	C₄⋊C₄×C₁₉	—	2	1	no	—
417	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
418	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
419	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
420	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
421	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
423	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
424	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
425	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
426	C₂²⋊C₄×C₁₉	—	2	2	no	—
427	C₂²⋊C₄×C₁₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₉	—	2	2	no	—
429	C₂²⋊C₄×C₁₉	—	2	2	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	—	2	2	no	—
432	C₂²⋊C₄×C₁₉	—	2	2	no	—
433	C₂²⋊C₄×C₁₉	—	2	2	no	—
434	C₂²⋊C₄×C₁₉	—	2	1	no	—
435	C₂²⋊C₄×C₁₉	—	2	1	no	—
436	C₂²⋊C₄×C₁₉	—	2	1	no	—
437	C₂²⋊C₄×C₁₉	—	2	2	no	—
438	C₂²⋊C₄×C₁₉	—	2	1	no	—
439	C₂²⋊C₄×C₁₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₉	—	2	2	no	—
441	C₂²⋊C₄×C₁₉	—	2	1	no	—
442	C₂²⋊C₄×C₁₉	—	2	1	no	—
443	C₂²⋊C₄×C₁₉	—	2	1	no	—
444	C₂²⋊C₄×C₁₉	—	2	1	no	—
445	C₂²⋊C₄×C₁₉	—	2	1	no	—
446	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
447	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
448	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
449	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
450	C₄²×C₁₉	—	2	2	no	—
451	C₄²×C₁₉	—	2	2	no	—
452	C₄²×C₁₉	—	2	1	no	—
453	C₄²×C₁₉	—	2	2	no	—
454	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
457	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
458	#62356	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
459	C₂³×C₁₉	—	2	1	no	—
460	C₂³×C₁₉	—	2	1	no	—
461	C₂³×C₁₉	—	2	1	no	—
462	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
463	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
464	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
465	Q₈×C₁₉	—	2	1	no	—
466	Q₈×C₁₉	—	2	2	no	—
467	Q₈×C₁₉	—	2	2	no	—
468	Q₈×C₁₉	—	2	1	no	—
469	Q₈×C₁₉	—	2	2	no	—
470	Q₈×C₁₉	—	2	2	no	—
471	Q₈×C₁₉	—	4	2	no	—
472	Q₈×C₁₉	—	4	2	no	—
473	Q₈×C₁₉	—	8	1	no	—
474	Q₈×C₁₉	—	8	2	no	—
475	Q₈×C₁₉	—	8	1	no	—
476	D₄×C₁₉	—	2	2	no	—
477	D₄×C₁₉	—	2	2	no	—
478	D₄×C₁₉	—	2	1	no	—
479	D₄×C₁₉	—	2	1	no	—
480	D₄×C₁₉	—	2	1	no	—
481	D₄×C₁₉	—	2	1	no	—
482	D₄×C₁₉	—	2	1	no	—
483	D₄×C₁₉	—	2	1	no	—
484	D₄×C₁₉	—	4	2	no	—
485	D₄×C₁₉	—	4	2	no	—
486	D₄×C₁₉	—	4	2	no	—
487	D₄×C₁₉	—	4	2	no	—
488	D₄×C₁₉	—	4	2	no	—
489	D₄×C₁₉	—	8	1	no	—
490	D₄×C₁₉	—	8	1	no	—
491	D₄×C₁₉	—	8	2	no	—
492	D₄×C₁₉	—	8	2	no	—
493	D₄×C₁₉	—	8	2	no	—
494	D₄×C₁₉	—	8	2	no	—
495	D₄×C₁₉	—	8	1	no	—
496	D₄×C₁₉	—	8	1	no	—
497	D₄×C₁₉	—	8	2	no	—
498	D₄×C₁₉	—	8	2	no	—
499	C₂×C₄×C₁₉	—	2	2	no	—
500	C₂×C₄×C₁₉	—	2	2	no	—
501	C₂×C₄×C₁₉	—	2	1	no	—
502	C₂×C₄×C₁₉	—	2	2	no	—
503	C₂×C₄×C₁₉	—	2	1	no	—
504	C₂×C₄×C₁₉	—	2	2	no	—
505	C₂×C₄×C₁₉	—	2	2	no	—
506	C₂×C₄×C₁₉	—	2	1	no	—
507	C₂×C₄×C₁₉	—	2	2	no	—
508	C₂×C₄×C₁₉	—	2	1	no	—
509	C₂×C₄×C₁₉	—	2	1	no	—
510	C₂×C₄×C₁₉	—	2	2	no	—
511	C₂×C₄×C₁₉	—	2	2	no	—
512	C₂×C₄×C₁₉	—	2	2	no	—
513	C₂×C₄×C₁₉	—	2	1	no	—
514	C₂×C₄×C₁₉	—	2	1	no	—
515	C₂×C₄×C₁₉	—	4	1	no	—
516	C₂×C₄×C₁₉	—	4	2	no	—
517	C₂×C₄×C₁₉	—	4	2	no	—
518	C₂×C₄×C₁₉	—	4	2	no	—
519	C₂×C₄×C₁₉	—	8	2	no	—
520	C₂×C₄×C₁₉	—	8	2	no	—
521	C₂×C₄×C₁₉	—	8	2	no	—
522	C₂×C₄×C₁₉	—	8	2	no	—
523	C₂×C₄×C₁₉	—	8	2	no	—
524	C₂×C₄×C₁₉	—	8	2	no	—
525	C₂×C₄×C₁₉	—	8	2	no	—
526	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
532	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
534	C₈×C₁₉	—	2	2	no	—
535	C₈×C₁₉	—	2	1	no	—
536	C₈×C₁₉	—	2	2	no	—
537	C₈×C₁₉	—	2	1	no	—
538	C₈×C₁₉	—	2	1	no	—
539	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
540	#3548	C₂×C₁₉	1	1	yes	characteristic, complemented
541	#3547	C₂×C₁₉	1	1	yes	characteristic, complemented
542	#3354	C₂×C₁₉	1	1	yes	characteristic, complemented
543	#3344	C₂×C₁₉	1	2	yes	complemented
544	#3335	C₂×C₁₉	1	1	yes	characteristic, complemented
545	#3331	C₂×C₁₉	1	1	yes	characteristic, complemented
546	#3330	C₂×C₁₉	1	1	yes	characteristic, complemented
547	#3317	C₂×C₁₉	1	2	yes	complemented
548	#3316	C₂×C₁₉	1	2	yes	complemented
549	#3303	C₂×C₁₉	1	1	yes	characteristic, complemented
550	#3298	C₂×C₁₉	1	1	yes	characteristic, complemented
551	#3283	C₂×C₁₉	1	1	yes	characteristic, complemented
552	#3276	C₂×C₁₉	1	1	yes	characteristic, complemented
553	#3271	C₂×C₁₉	1	2	yes	complemented
554	#3248	C₂×C₁₉	1	1	yes	characteristic, complemented
555	#3246	C₂×C₁₉	1	1	yes	characteristic, complemented
556	#3204	C₂×C₁₉	1	2	yes	complemented
557	#3201	C₂×C₁₉	1	2	yes	complemented
558	#3185	C₂×C₁₉	1	1	yes	characteristic, complemented
559	#3171	C₂×C₁₉	1	1	yes	characteristic, complemented
560	#3063	C₂×C₁₉	1	2	yes	complemented
561	#3060	C₂×C₁₉	1	2	yes	complemented
562	#2935	C₂×C₁₉	1	1	yes	characteristic, complemented
563	C₂²×C₁₉	—	2	1	no	—
564	C₂²×C₁₉	—	2	2	no	—
565	C₂²×C₁₉	—	2	2	no	—
566	C₂²×C₁₉	—	2	2	no	—
567	C₂²×C₁₉	—	2	1	no	—
568	C₂²×C₁₉	—	2	2	no	—
569	C₂²×C₁₉	—	2	1	no	—
570	C₂²×C₁₉	—	2	2	no	—
571	C₂²×C₁₉	—	2	2	no	—
572	C₂²×C₁₉	—	4	1	no	—
573	C₂²×C₁₉	—	4	1	no	—
574	C₂²×C₁₉	—	4	1	no	—
575	C₂²×C₁₉	—	4	1	no	—
576	C₂²×C₁₉	—	4	1	no	—
577	C₂²×C₁₉	—	4	1	no	—
578	C₂²×C₁₉	—	4	1	no	—
579	C₂²×C₁₉	—	4	1	no	—
580	C₂²×C₁₉	—	4	1	no	—
581	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
582	C₄×C₁₉	—	2	1	no	—
583	C₄×C₁₉	—	2	1	no	—
584	C₄×C₁₉	—	2	2	no	—
585	C₄×C₁₉	—	2	2	no	—
586	C₄×C₁₉	—	2	1	no	—
587	C₄×C₁₉	—	2	1	no	—
588	C₄×C₁₉	—	4	1	no	—
589	C₄×C₁₉	—	4	2	no	—
590	C₄×C₁₉	—	4	2	no	—
591	C₄×C₁₉	—	4	2	no	—
592	C₄×C₁₉	—	4	1	no	—
593	C₄×C₁₉	—	4	1	no	—
594	C₄×C₁₉	—	4	1	no	—
595	C₄×C₁₉	—	4	1	no	—
596	C₄×C₁₉	—	4	2	no	—
597	C₄×C₁₉	#577	1	2	yes	—
598	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
599	C₄×C₁₉	#585	1	1	yes	characteristic
600	C₂×#137	C₂²×C₁₉	1	2	yes	—
601	C₂×#135	C₂²×C₁₉	1	2	yes	—
602	C₂×#131	C₂²×C₁₉	1	2	yes	—
603	#562	—	2	2	no	—
604	#562	—	2	2	no	—
605	#555	—	2	1	no	—
606	#555	C₂²×C₁₉	1	1	yes	characteristic
607	#554	—	2	1	no	—
608	#554	C₂²×C₁₉	1	1	yes	characteristic
609	#554	C₂²×C₁₉	1	2	yes	—
610	#553	—	2	1	no	—
611	#552	C₂²×C₁₉	1	2	yes	—
612	#550	—	2	1	no	—
613	#550	C₂²×C₁₉	1	2	yes	—
614	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
615	#548	C₂²×C₁₉	1	2	yes	—
616	#547	C₂²×C₁₉	1	1	yes	characteristic
617	#547	C₂²×C₁₉	1	1	yes	characteristic
618	#547	C₂²×C₁₉	1	1	yes	characteristic
619	#547	C₂²×C₁₉	1	1	yes	characteristic
620	#547	C₂²×C₁₉	1	1	yes	characteristic
621	#544	—	2	1	no	—
622	#542	—	2	2	no	—
623	#540	—	2	1	no	—
624	#540	—	2	2	no	—
625	#537	—	2	1	no	—
626	#537	—	2	1	no	—
627	#537	C₂²×C₁₉	1	2	yes	—
628	#537	C₂²×C₁₉	1	2	yes	—
629	#537	C₂²×C₁₉	1	2	yes	—
630	#536	C₂²×C₁₉	1	2	yes	—
631	#533	C₂²×C₁₉	1	1	yes	characteristic
632	#533	C₂²×C₁₉	1	1	yes	characteristic
633	#532	C₂²×C₁₉	1	1	yes	characteristic
634	#532	C₂²×C₁₉	1	1	yes	characteristic
635	#529	C₂²×C₁₉	1	1	yes	characteristic
636	#501	C₂²×C₁₉	1	1	yes	characteristic
637	#498	C₂²×C₁₉	1	1	yes	characteristic
638	#496	C₂²×C₁₉	1	1	yes	characteristic
639	#494	C₂²×C₁₉	1	1	yes	characteristic
640	#490	C₂²×C₁₉	1	1	yes	characteristic
641	#489	C₂²×C₁₉	1	1	yes	characteristic
642	#487	C₂²×C₁₉	1	1	yes	characteristic
643	#487	C₂²×C₁₉	1	1	yes	characteristic
644	#485	C₂²×C₁₉	1	2	yes	—
645	#484	C₂²×C₁₉	1	2	yes	—
646	#483	C₂²×C₁₉	1	2	yes	—
647	#483	C₂²×C₁₉	1	2	yes	—
648	#483	C₂²×C₁₉	1	2	yes	—
649	#482	C₂²×C₁₉	1	2	yes	—
650	#481	C₂²×C₁₉	1	2	yes	—
651	#481	C₂²×C₁₉	1	2	yes	—
652	#479	C₂²×C₁₉	1	2	yes	—
653	#476	C₂²×C₁₉	1	1	yes	characteristic
654	#476	C₂²×C₁₉	1	1	yes	characteristic
655	#475	C₂²×C₁₉	1	1	yes	characteristic
656	#475	C₂²×C₁₉	1	2	yes	—
657	#474	C₂²×C₁₉	1	1	yes	characteristic
658	#470	C₂²×C₁₉	1	2	yes	—
659	#470	C₂²×C₁₉	1	2	yes	—
660	#470	C₂²×C₁₉	1	2	yes	—
661	#470	C₂²×C₁₉	1	2	yes	—
662	#469	C₂²×C₁₉	1	2	yes	—
663	#469	C₂²×C₁₉	1	1	yes	characteristic
664	#469	C₂²×C₁₉	1	1	yes	characteristic
665	#468	C₂²×C₁₉	1	2	yes	—
666	#468	C₂²×C₁₉	1	1	yes	characteristic
667	#468	C₂²×C₁₉	1	1	yes	characteristic
668	#467	C₂²×C₁₉	1	2	yes	—
669	#467	C₂²×C₁₉	1	2	yes	—
670	#465	C₂²×C₁₉	1	2	yes	—
671	#465	C₂²×C₁₉	1	2	yes	—
672	#465	C₂²×C₁₉	1	2	yes	—
673	#465	C₂²×C₁₉	1	2	yes	—
674	#465	C₂²×C₁₉	1	2	yes	—
675	#465	C₂²×C₁₉	1	2	yes	—
676	#464	C₂²×C₁₉	1	2	yes	—
677	#462	C₂²×C₁₉	1	1	yes	characteristic
678	#461	C₂²×C₁₉	1	1	yes	characteristic
679	#461	C₂²×C₁₉	1	1	yes	characteristic
680	#461	C₂²×C₁₉	1	1	yes	characteristic
681	#460	C₂²×C₁₉	1	2	yes	—
682	#452	C₂²×C₁₉	1	2	yes	—
683	#452	C₂²×C₁₉	1	2	yes	—
684	#452	C₂²×C₁₉	1	2	yes	—
685	#452	C₂²×C₁₉	1	2	yes	—
686	#451	C₂²×C₁₉	1	2	yes	—
687	#449	C₂²×C₁₉	1	2	yes	—
688	#449	C₂²×C₁₉	1	2	yes	—
689	#448	C₂²×C₁₉	1	2	yes	—
690	#441	C₂²×C₁₉	1	2	yes	—
691	#441	C₂²×C₁₉	1	2	yes	—
692	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
693	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
694	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
695	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic
696	#436	C₂²×C₁₉	1	1	yes	characteristic
697	#436	C₂²×C₁₉	1	1	yes	characteristic
698	#435	C₂²×C₁₉	1	2	yes	—
699	#435	C₂²×C₁₉	1	2	yes	—
700	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
701	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
702	#428	C₂²×C₁₉	1	2	yes	—
703	C₂×#106	C₂²×C₁₉	1	2	yes	—
704	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
705	#417	C₂²×C₁₉	1	2	yes	—
706	#417	C₂²×C₁₉	1	2	yes	—
707	#416	C₂²×C₁₉	1	2	yes	—
708	C₂×#103	C₂²×C₁₉	1	2	yes	—
709	#408	C₂²×C₁₉	1	2	yes	—
710	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
711	C₂×C₁₉	—	4	1	no	—
712	C₂×C₁₉	—	4	2	no	—
713	C₂×C₁₉	—	4	2	no	—
714	C₂×C₁₉	—	8	1	no	—
715	C₂×C₁₉	—	8	1	no	—
716	C₂×C₁₉	—	8	1	no	—
717	C₂×C₁₉	#3496	1	1	yes	characteristic
718	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
719	C₂×C₁₉	#3586	1	1	yes	characteristic
720	C₂×#41	—	2	1	no	—
721	C₂×#41	—	2	1	no	—
722	C₂×#41	—	2	1	no	—
723	C₂×#41	C₂³×C₁₉	1	2	yes	—
724	C₂×#41	C₂³×C₁₉	1	2	yes	—
725	C₂×#41	C₂³×C₁₉	1	2	yes	—
726	C₂×#41	C₂³×C₁₉	1	2	yes	—
727	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
728	#137	—	4	4	no	—
729	#135	—	4	4	no	—
730	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
731	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
732	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
733	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
734	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
735	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
736	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
737	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
738	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
739	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
740	#131	—	4	4	no	—
741	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
742	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
743	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
744	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
745	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
746	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
747	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
748	C₄⋊Q₈	—	2	2	no	—
749	C₄⋊Q₈	—	2	1	no	—
750	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
751	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
752	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
753	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
754	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
755	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
756	#127	—	2	2	no	—
757	#127	D₄×C₁₉	1	1	yes	characteristic
758	#127	C₂³×C₁₉	1	1	yes	characteristic
759	#126	—	2	2	no	—
760	#126	—	2	1	no	—
761	#125	—	2	2	no	—
762	#125	—	2	2	no	—
763	#125	—	2	1	no	—
764	#125	—	2	1	no	—
765	#125	—	2	1	no	—
766	#125	C₂³×C₁₉	1	1	yes	characteristic
767	#124	—	2	2	no	—
768	#124	—	2	2	no	—
769	#124	—	2	2	no	—
770	#124	—	2	1	no	—
771	#124	D₄×C₁₉	1	2	yes	—
772	#124	C₂³×C₁₉	1	1	yes	characteristic
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	1	no	—
777	#123	—	2	2	no	—
778	#123	—	2	2	no	—
779	#123	—	2	2	no	—
780	#123	—	2	2	no	—
781	#123	—	2	2	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	—	2	1	no	—
786	C₂²⋊Q₈	—	2	1	no	—
787	C₂²⋊Q₈	—	2	1	no	—
788	C₂²⋊Q₈	—	2	1	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	—	2	2	no	—
792	C₂²⋊Q₈	—	2	2	no	—
793	C₂²⋊Q₈	—	2	2	no	—
794	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
795	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
796	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
797	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
798	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
799	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
800	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
801	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	—	2	1	no	—
807	#121	—	2	1	no	—
808	#121	—	2	2	no	—
809	#121	—	2	2	no	—
810	#121	—	2	2	no	—
811	#121	—	2	2	no	—
812	#121	—	2	2	no	—
813	#121	—	2	1	no	—
814	#121	—	2	2	no	—
815	#121	—	2	1	no	—
816	#121	—	2	1	no	—
817	#121	—	2	2	no	—
818	#121	—	2	2	no	—
819	#121	D₄×C₁₉	1	1	yes	characteristic
820	#121	D₄×C₁₉	1	1	yes	characteristic
821	#121	D₄×C₁₉	1	2	yes	—
822	#121	C₂³×C₁₉	1	1	yes	characteristic
823	#121	C₂³×C₁₉	1	1	yes	characteristic
824	#121	C₂³×C₁₉	1	1	yes	characteristic
825	#121	C₂³×C₁₉	1	2	yes	—
826	#121	C₂³×C₁₉	1	2	yes	—
827	#121	C₂³×C₁₉	1	2	yes	—
828	C₄×Q₈	—	2	1	no	—
829	C₄×Q₈	—	2	1	no	—
830	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
831	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
832	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	2	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	2	1	no	—
837	C₄×D₄	—	2	2	no	—
838	C₄×D₄	—	2	2	no	—
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
841	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
842	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
843	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
844	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
845	C₄×D₄	C₂³×C₁₉	1	2	yes	—
846	#117	—	2	1	no	—
847	#117	—	2	1	no	—
848	#117	—	2	1	no	—
849	#117	—	2	2	no	—
850	#117	—	2	1	no	—
851	#117	C₂³×C₁₉	1	2	yes	—
852	C₂×C₄⋊C₄	—	2	1	no	—
853	C₂×C₄⋊C₄	—	2	1	no	—
854	C₂×C₄⋊C₄	—	2	1	no	—
855	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
856	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
857	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
858	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
859	#107	C₂³×C₁₉	1	1	yes	characteristic
860	#107	C₂³×C₁₉	1	2	yes	—
861	#107	C₂³×C₁₉	1	1	yes	characteristic
862	#106	C₂³×C₁₉	1	1	yes	characteristic
863	#106	C₂³×C₁₉	1	2	yes	—
864	#106	C₂³×C₁₉	1	2	yes	—
865	#106	C₂³×C₁₉	1	2	yes	—
866	#106	C₂³×C₁₉	1	2	yes	—
867	#106	C₂³×C₁₉	1	1	yes	characteristic
868	#106	C₂³×C₁₉	1	2	yes	—
869	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
870	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
871	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
872	#103	C₂³×C₁₉	1	1	yes	characteristic
873	#103	C₂³×C₁₉	1	2	yes	—
874	#103	C₂³×C₁₉	1	2	yes	—
875	#103	C₂³×C₁₉	1	2	yes	—
876	#103	C₂³×C₁₉	1	2	yes	—
877	#103	C₂³×C₁₉	1	2	yes	—
878	#103	C₂³×C₁₉	1	2	yes	—
879	#103	C₂³×C₁₉	1	2	yes	—
880	#103	C₂³×C₁₉	1	1	yes	characteristic
881	#103	C₂³×C₁₉	1	2	yes	—
882	#103	C₂³×C₁₉	1	2	yes	—
883	#102	C₂³×C₁₉	1	1	yes	characteristic
884	#102	C₂³×C₁₉	1	2	yes	—
885	#102	C₂³×C₁₉	1	1	yes	characteristic
886	#102	C₂³×C₁₉	1	1	yes	characteristic
887	#102	C₂³×C₁₉	1	2	yes	—
888	#102	C₂³×C₁₉	1	2	yes	—
889	#102	C₂³×C₁₉	1	1	yes	characteristic
890	#102	C₂³×C₁₉	1	1	yes	characteristic
891	#102	C₂³×C₁₉	1	1	yes	characteristic
892	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
893	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
894	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
895	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
896	#97	C₂³×C₁₉	1	1	yes	characteristic
897	#97	C₂³×C₁₉	1	1	yes	characteristic
898	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
899	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
900	C₁₉	#62356	1	1	yes	characteristic, direct product factor, Sylow
901	#41	—	4	2	no	—
902	#41	—	4	2	no	—
903	#41	—	4	2	no	—
904	#41	—	4	2	no	—
905	#41	—	4	2	no	—
906	#41	—	4	2	no	—
907	#41	—	4	2	no	—
908	#41	—	4	2	no	—
909	#41	—	8	2	no	—
910	#41	—	8	2	no	—
911	#41	—	8	2	no	—
912	C₂×Q₈	—	2	1	no	—
913	C₂×Q₈	—	2	1	no	—
914	C₂×Q₈	—	2	1	no	—
915	C₂×Q₈	—	2	2	no	—
916	C₂×Q₈	—	4	2	no	—
917	C₂×Q₈	—	4	2	no	—
918	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
919	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
920	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
921	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	1	no	—
932	C₂×D₄	—	2	1	no	—
933	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
934	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
935	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
936	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
937	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
938	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
939	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
940	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
941	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
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	1	no	—
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
953	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
955	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
956	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
957	Q₁₆	—	2	4	no	—
958	Q₁₆	—	4	2	no	—
959	Q₁₆	—	4	2	no	—
960	SD₁₆	—	2	2	no	—
961	SD₁₆	—	4	1	no	—
962	SD₁₆	—	4	2	no	—
963	SD₁₆	—	4	2	no	—
964	SD₁₆	—	4	2	no	—
965	D₈	—	2	2	no	—
966	D₈	—	4	1	no	—
967	M₁₆	—	2	2	no	—
968	M₁₆	—	2	4	no	—
969	M₁₆	—	4	1	no	—
970	M₁₆	—	4	2	no	—
971	C₂×C₈	—	2	4	no	—
972	C₂×C₈	—	4	2	no	—
973	C₂×C₈	—	4	2	no	—
974	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
975	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
976	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
977	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
978	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
979	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	2	1	no	—
993	C₄⋊C₄	—	2	1	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	1	no	—
1000	C₄⋊C₄	—	2	2	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	2	1	no	—
1003	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1005	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1006	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1007	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1008	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1009	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1010	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1011	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	1	no	—
1022	C₂²⋊C₄	—	2	1	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	1	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	—	2	1	no	—
1030	C₂²⋊C₄	—	2	1	no	—
1031	C₂²⋊C₄	—	2	1	no	—
1032	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1033	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1034	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1035	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1036	C₄²	—	2	2	no	—
1037	C₄²	—	2	2	no	—
1038	C₄²	—	2	1	no	—
1039	C₄²	—	2	2	no	—
1040	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1041	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1042	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1043	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	1	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1048	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1049	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1050	Q₈	—	2	1	no	—
1051	Q₈	—	2	2	no	—
1052	Q₈	—	2	2	no	—
1053	Q₈	—	2	1	no	—
1054	Q₈	—	2	2	no	—
1055	Q₈	—	2	2	no	—
1056	Q₈	—	4	2	no	—
1057	Q₈	—	4	2	no	—
1058	Q₈	—	8	2	no	—
1059	Q₈	—	8	1	no	—
1060	Q₈	—	8	1	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	2	no	—
1063	D₄	—	2	1	no	—
1064	D₄	—	2	1	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	2	1	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	2	1	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	4	2	no	—
1074	D₄	—	8	1	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	1	no	—
1079	D₄	—	8	1	no	—
1080	D₄	—	8	2	no	—
1081	D₄	—	8	2	no	—
1082	D₄	—	8	1	no	—
1083	D₄	—	8	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	4	1	no	—
1101	C₂×C₄	—	4	2	no	—
1102	C₂×C₄	—	4	2	no	—
1103	C₂×C₄	—	4	2	no	—
1104	C₂×C₄	—	8	2	no	—
1105	C₂×C₄	—	8	2	no	—
1106	C₂×C₄	—	8	2	no	—
1107	C₂×C₄	—	8	2	no	—
1108	C₂×C₄	—	8	2	no	—
1109	C₂×C₄	—	8	2	no	—
1110	C₂×C₄	—	8	2	no	—
1111	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1112	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1113	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1114	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1115	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1116	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1117	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1118	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1119	C₈	—	2	2	no	—
1120	C₈	—	2	1	no	—
1121	C₈	—	2	2	no	—
1122	C₈	—	2	1	no	—
1123	C₈	—	2	1	no	—
1124	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	2	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	2	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	4	1	no	—
1139	C₂²	—	4	1	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1144	C₄	—	2	2	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	1	no	—
1147	C₄	—	2	1	no	—
1148	C₄	—	2	1	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	2	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	1	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	1	no	—
1156	C₄	—	4	2	no	—
1157	C₄	—	4	1	no	—
1158	C₄	—	4	2	no	—
1159	C₄	C₁₉×#577	1	2	yes	—
1160	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1161	C₄	C₁₉×#585	1	1	yes	characteristic
1162	C₂	—	4	2	no	—
1163	C₂	—	4	1	no	—
1164	C₂	—	4	2	no	—
1165	C₂	—	8	1	no	—
1166	C₂	—	8	1	no	—
1167	C₂	—	8	1	no	—
1168	C₂	C₁₉×#3496	1	1	yes	characteristic
1169	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1170	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3548	C₂	semidirect
2. C₁₉×#3547	C₂	semidirect
3. C₁₉×#3354	C₂	semidirect
4. C₁₉×#3344	C₂	semidirect
5. C₁₉×#3335	C₂	semidirect
6. C₁₉×#3331	C₂	semidirect
7. C₁₉×#3330	C₂	semidirect
8. C₁₉×#3317	C₂	semidirect
9. C₁₉×#3316	C₂	semidirect
10. C₁₉×#3303	C₂	semidirect
11. C₁₉×#3298	C₂	semidirect
12. C₁₉×#3283	C₂	semidirect
13. C₁₉×#3276	C₂	semidirect
14. C₁₉×#3271	C₂	semidirect
15. C₁₉×#3248	C₂	semidirect
16. C₁₉×#3246	C₂	semidirect
17. C₁₉×#3204	C₂	semidirect
18. C₁₉×#3201	C₂	semidirect
19. C₁₉×#3185	C₂	semidirect
20. C₁₉×#3171	C₂	semidirect
21. C₁₉×#3063	C₂	semidirect
22. C₁₉×#3060	C₂	semidirect
23. C₁₉×#2935	C₂	semidirect
458. #62356	C₁₉	direct (N × H)
540. #3548	C₂×C₁₉	semidirect
541. #3547	C₂×C₁₉	semidirect
542. #3354	C₂×C₁₉	semidirect
543. #3344	C₂×C₁₉	semidirect
544. #3335	C₂×C₁₉	semidirect
545. #3331	C₂×C₁₉	semidirect
546. #3330	C₂×C₁₉	semidirect
547. #3317	C₂×C₁₉	semidirect
548. #3316	C₂×C₁₉	semidirect
549. #3303	C₂×C₁₉	semidirect
550. #3298	C₂×C₁₉	semidirect
551. #3283	C₂×C₁₉	semidirect
552. #3276	C₂×C₁₉	semidirect
553. #3271	C₂×C₁₉	semidirect
554. #3248	C₂×C₁₉	semidirect
555. #3246	C₂×C₁₉	semidirect
556. #3204	C₂×C₁₉	semidirect
557. #3201	C₂×C₁₉	semidirect
558. #3185	C₂×C₁₉	semidirect
559. #3171	C₂×C₁₉	semidirect
560. #3063	C₂×C₁₉	semidirect
561. #3060	C₂×C₁₉	semidirect
562. #2935	C₂×C₁₉	semidirect
900. C₁₉	#62356	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₉×#3548	2
C₁₉×#3547	2
C₁₉×#3354	2
C₁₉×#3344	2
C₁₉×#3335	2
C₁₉×#3331	2
C₁₉×#3330	2
C₁₉×#3317	2
C₁₉×#3316	2
C₁₉×#3303	2
C₁₉×#3298	2
C₁₉×#3283	2
C₁₉×#3276	2
C₁₉×#3271	2
C₁₉×#3248	2
C₁₉×#3246	2
C₁₉×#3204	2
C₁₉×#3201	2
C₁₉×#3185	2
C₁₉×#3171	2
C₁₉×#3063	2
C₁₉×#3060	2
C₁₉×#2935	2
#62356	19

Subgroups — C19×#62356 #18068315

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62356 #18068315