Subgroups — C₁₉×#62056 #18068015

Order 4864.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3552	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3523	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3395	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3364	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3328	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3312	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3302	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#3300	C₂	1	2	yes	maximal, complemented
11	D₄×Q₁₆×C₁₉	C₂	1	2	yes	maximal, complemented
12	D₄×Q₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3270	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3261	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3248	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3223	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3209	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3127	C₂	1	2	yes	maximal, complemented
20	C₁₉×#3108	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3044	C₂	1	2	yes	maximal, complemented
22	C₂×C₁₉×#462	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×#137	C₂²	1	2	yes	—
25	C₂²×Q₁₆×C₁₉	C₂²	1	2	yes	—
26	C₂²×Q₁₆×C₁₉	C₂²	1	2	yes	—
27	C₁₉×#563	—	2	2	no	—
28	C₁₉×#557	—	2	1	no	—
29	C₁₉×#557	C₂²	1	1	yes	characteristic
30	C₁₉×#557	C₂²	1	1	yes	characteristic
31	C₁₉×#557	C₂²	1	1	yes	characteristic
32	C₁₉×#556	—	2	1	no	—
33	C₁₉×#556	C₂²	1	1	yes	characteristic
34	C₁₉×#556	C₂²	1	1	yes	characteristic
35	C₁₉×#554	—	2	1	no	—
36	C₁₉×#553	—	2	1	no	—
37	C₁₉×#552	—	2	2	no	—
38	C₁₉×#552	C₂²	1	2	yes	—
39	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
40	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
41	D₄×Q₈×C₁₉	C₂²	1	2	yes	—
42	D₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
43	C₁₉×#548	C₂²	1	2	yes	—
44	C₁₉×#547	C₂²	1	1	yes	characteristic
45	C₁₉×#544	—	2	1	no	—
46	C₁₉×#542	—	2	1	no	—
47	C₁₉×#541	—	2	2	no	—
48	C₁₉×#541	C₂²	1	2	yes	—
49	C₁₉×#541	C₂²	1	2	yes	—
50	C₁₉×#539	—	2	2	no	—
51	C₁₉×#536	C₂²	1	2	yes	—
52	C₁₉×#533	—	2	1	no	—
53	C₁₉×#533	C₂²	1	1	yes	characteristic
54	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
55	C₁₉×#529	—	2	1	no	—
56	C₁₉×#529	C₂²	1	1	yes	characteristic
57	C₁₉×#529	C₂²	1	1	yes	characteristic
58	C₁₉×#519	C₂²	1	2	yes	—
59	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
60	C₁₉×#497	C₂²	1	2	yes	—
61	C₁₉×#494	C₂²	1	1	yes	characteristic
62	C₁₉×#494	C₂²	1	1	yes	characteristic
63	C₁₉×#494	C₂²	1	2	yes	—
64	C₁₉×#491	C₂²	1	2	yes	—
65	C₁₉×#488	C₂²	1	2	yes	—
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×#485	C₂²	1	2	yes	—
70	C₁₉×#483	C₂²	1	1	yes	characteristic
71	C₁₉×#480	C₂²	1	1	yes	characteristic
72	C₁₉×#479	C₂²	1	2	yes	—
73	C₁₉×#479	C₂²	1	1	yes	characteristic
74	C₁₉×#479	C₂²	1	2	yes	—
75	C₁₉×#479	C₂²	1	2	yes	—
76	C₁₉×#479	C₂²	1	1	yes	characteristic
77	C₁₉×#475	C₂²	1	1	yes	characteristic
78	C₁₉×#474	C₂²	1	1	yes	characteristic
79	C₁₉×#470	C₂²	1	2	yes	—
80	C₁₉×#470	C₂²	1	2	yes	—
81	C₁₉×#467	C₂²	1	2	yes	—
82	C₁₉×#467	C₂²	1	2	yes	—
83	C₁₉×#467	C₂²	1	2	yes	—
84	C₁₉×#465	C₂²	1	2	yes	—
85	C₁₉×#464	C₂²	1	1	yes	characteristic
86	C₁₉×#464	C₂²	1	2	yes	—
87	C₁₉×#464	C₂²	1	2	yes	—
88	C₁₉×#464	C₂²	1	1	yes	characteristic
89	C₁₉×#464	C₂²	1	2	yes	—
90	C₁₉×#462	C₂²	1	2	yes	—
91	C₁₉×#462	C₂²	1	2	yes	—
92	C₁₉×#462	C₂²	1	2	yes	—
93	C₁₉×#462	C₂²	1	1	yes	characteristic
94	C₁₉×#462	C₂²	1	2	yes	—
95	C₁₉×#462	C₂²	1	2	yes	—
96	C₁₉×#462	C₂²	1	1	yes	characteristic
97	C₁₉×#462	C₂²	1	1	yes	characteristic
98	C₁₉×#462	C₂²	1	2	yes	—
99	C₁₉×#462	C₂²	1	2	yes	—
100	C₁₉×#462	C₂²	1	1	yes	characteristic
101	C₁₉×#462	C₂²	1	1	yes	characteristic
102	C₁₉×#462	C₂²	1	2	yes	—
103	C₁₉×#461	C₂²	1	1	yes	characteristic
104	C₁₉×#452	C₂²	1	2	yes	—
105	C₁₉×#452	C₂²	1	2	yes	—
106	C₁₉×#451	C₂²	1	2	yes	—
107	C₁₉×#451	C₂²	1	2	yes	—
108	C₁₉×#451	C₂²	1	2	yes	—
109	C₁₉×#451	C₂²	1	2	yes	—
110	C₁₉×#451	C₂²	1	2	yes	—
111	C₁₉×#451	C₂²	1	2	yes	—
112	C₁₉×#451	C₂²	1	1	yes	characteristic
113	C₁₉×#448	C₂²	1	1	yes	characteristic
114	C₁₉×#446	C₂²	1	1	yes	characteristic
115	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic
116	C₁₉×#441	C₂²	1	2	yes	—
117	C₁₉×#441	C₂²	1	2	yes	—
118	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
119	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
120	C₄×Q₁₆×C₁₉	C₂²	1	2	yes	—
121	C₄×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
122	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
123	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
124	C₁₉×#436	C₂²	1	1	yes	characteristic
125	C₁₉×#435	C₂²	1	2	yes	—
126	C₈×D₄×C₁₉	C₂²	1	2	yes	—
127	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
128	C₁₉×#433	C₂²	1	2	yes	—
129	C₁₉×#431	C₂²	1	1	yes	characteristic
130	C₁₉×#424	C₂²	1	2	yes	—
131	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
132	C₁₉×#419	C₂²	1	2	yes	—
133	C₁₉×#416	C₂²	1	2	yes	—
134	C₂×C₁₉×#103	C₂²	1	2	yes	—
135	C₂×#41×C₁₉	C₂³	1	2	yes	—
136	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
138	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
140	C₁₉×#137	—	4	4	no	—
141	C₂×Q₁₆×C₁₉	—	4	4	no	—
142	C₂×Q₁₆×C₁₉	—	4	4	no	—
143	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
144	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
145	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
146	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
147	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
149	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
150	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
151	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
152	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
154	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
155	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
156	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
157	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
160	C₁₉×C₄⋊Q₈	—	2	1	no	—
161	C₁₉×C₄⋊Q₈	—	2	1	no	—
162	C₁₉×C₄⋊Q₈	—	2	2	no	—
163	C₁₉×C₄⋊Q₈	—	2	1	no	—
164	C₁₉×C₄⋊Q₈	—	2	2	no	—
165	C₁₉×C₄⋊Q₈	—	2	1	no	—
166	C₁₉×C₄⋊Q₈	—	2	1	no	—
167	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
174	C₁₉×#126	—	2	2	no	—
175	C₁₉×#126	—	2	2	no	—
176	C₁₉×#126	—	2	2	no	—
177	C₁₉×#126	—	2	2	no	—
178	C₁₉×#126	—	2	2	no	—
179	C₁₉×#126	—	2	2	no	—
180	C₁₉×#126	—	2	2	no	—
181	C₁₉×#126	—	2	1	no	—
182	C₁₉×#126	D₄	1	2	yes	—
183	C₁₉×#125	—	2	1	no	—
184	C₁₉×#125	—	2	2	no	—
185	C₁₉×#125	—	2	2	no	—
186	C₁₉×#125	—	2	2	no	—
187	C₁₉×#125	—	2	2	no	—
188	C₁₉×#125	—	2	2	no	—
189	C₁₉×#125	—	2	2	no	—
190	C₁₉×#125	—	2	2	no	—
191	C₁₉×#125	—	2	2	no	—
192	C₁₉×#125	—	2	1	no	—
193	C₁₉×#125	—	2	1	no	—
194	C₁₉×#125	D₄	1	1	yes	characteristic
195	C₁₉×#125	C₂³	1	1	yes	characteristic
196	C₁₉×#125	C₂³	1	2	yes	—
197	C₁₉×#124	—	2	1	no	—
198	C₁₉×#124	—	2	2	no	—
199	C₁₉×#124	D₄	1	1	yes	characteristic
200	C₁₉×#124	C₂³	1	1	yes	characteristic
201	C₁₉×#124	C₂³	1	2	yes	—
202	C₁₉×#123	—	2	2	no	—
203	C₁₉×#123	—	2	1	no	—
204	C₁₉×#123	—	2	2	no	—
205	C₁₉×#123	—	2	2	no	—
206	C₁₉×#123	—	2	2	no	—
207	C₁₉×#123	D₄	1	2	yes	—
208	C₁₉×C₂²⋊Q₈	—	2	1	no	—
209	C₁₉×C₂²⋊Q₈	—	2	1	no	—
210	C₁₉×C₂²⋊Q₈	—	2	2	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	2	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	C₂³	1	2	yes	—
221	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₁₉×#121	—	2	2	no	—
227	C₁₉×#121	—	2	1	no	—
228	C₁₉×#121	D₄	1	1	yes	characteristic
229	C₁₉×#121	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₉	—	2	1	no	—
231	C₄×Q₈×C₁₉	—	2	1	no	—
232	C₄×Q₈×C₁₉	—	2	2	no	—
233	C₄×Q₈×C₁₉	—	2	2	no	—
234	C₄×Q₈×C₁₉	—	2	1	no	—
235	C₄×Q₈×C₁₉	—	2	1	no	—
236	C₄×Q₈×C₁₉	—	2	1	no	—
237	C₄×Q₈×C₁₉	—	2	1	no	—
238	C₄×Q₈×C₁₉	—	2	1	no	—
239	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
245	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
249	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₉	—	2	2	no	—
251	C₄×D₄×C₁₉	—	2	1	no	—
252	C₄×D₄×C₁₉	—	2	2	no	—
253	C₄×D₄×C₁₉	—	2	1	no	—
254	C₄×D₄×C₁₉	—	2	1	no	—
255	C₄×D₄×C₁₉	—	2	2	no	—
256	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₉	C₂³	1	2	yes	—
258	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₁₉×#117	—	2	1	no	—
260	C₁₉×#117	—	2	1	no	—
261	C₁₉×#117	—	2	2	no	—
262	C₁₉×#117	—	2	2	no	—
263	C₁₉×#117	—	2	2	no	—
264	C₁₉×#117	—	2	1	no	—
265	C₁₉×#117	C₂³	1	2	yes	—
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	—	2	1	no	—
271	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₁₉	—	2	1	no	—
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	1	yes	characteristic
279	C₁₉×#106	C₂³	1	2	yes	—
280	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	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×#103	C₂³	1	2	yes	—
292	C₁₉×#103	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
297	C₁₉×#103	C₂³	1	1	yes	characteristic
298	C₁₉×#103	C₂³	1	1	yes	characteristic
299	C₁₉×#103	C₂³	1	2	yes	—
300	C₁₉×#103	C₂³	1	1	yes	characteristic
301	C₁₉×#103	C₂³	1	2	yes	—
302	C₁₉×#103	C₂³	1	2	yes	—
303	C₁₉×#103	C₂³	1	2	yes	—
304	C₁₉×#102	C₂³	1	1	yes	characteristic
305	C₁₉×#102	C₂³	1	2	yes	—
306	C₁₉×#102	C₂³	1	1	yes	characteristic
307	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	2	yes	—
315	#41×C₁₉	—	4	2	no	—
316	#41×C₁₉	—	4	2	no	—
317	C₂×Q₈×C₁₉	—	2	1	no	—
318	C₂×Q₈×C₁₉	—	2	2	no	—
319	C₂×Q₈×C₁₉	—	2	1	no	—
320	C₂×Q₈×C₁₉	—	2	2	no	—
321	C₂×Q₈×C₁₉	—	2	2	no	—
322	C₂×Q₈×C₁₉	—	2	2	no	—
323	C₂×Q₈×C₁₉	—	2	4	no	—
324	C₂×Q₈×C₁₉	—	4	1	no	—
325	C₂×Q₈×C₁₉	—	4	2	no	—
326	C₂×Q₈×C₁₉	—	4	2	no	—
327	C₂×Q₈×C₁₉	—	4	2	no	—
328	C₂×Q₈×C₁₉	—	4	2	no	—
329	C₂×Q₈×C₁₉	—	4	2	no	—
330	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
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×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₁₉	—	2	1	no	—
338	C₂×D₄×C₁₉	—	2	2	no	—
339	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
341	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₁₉	—	2	1	no	—
343	C₂²×C₄×C₁₉	—	2	1	no	—
344	C₂²×C₄×C₁₉	—	2	2	no	—
345	C₂²×C₄×C₁₉	—	2	2	no	—
346	C₂²×C₄×C₁₉	—	2	2	no	—
347	C₂²×C₄×C₁₉	—	2	1	no	—
348	C₂²×C₄×C₁₉	—	2	2	no	—
349	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
353	Q₁₆×C₁₉	—	2	2	no	—
354	Q₁₆×C₁₉	—	2	4	no	—
355	Q₁₆×C₁₉	—	2	4	no	—
356	Q₁₆×C₁₉	—	4	2	no	—
357	Q₁₆×C₁₉	—	4	2	no	—
358	Q₁₆×C₁₉	—	4	2	no	—
359	Q₁₆×C₁₉	—	4	2	no	—
360	Q₁₆×C₁₉	—	4	2	no	—
361	Q₁₆×C₁₉	—	4	1	no	—
362	Q₁₆×C₁₉	—	4	2	no	—
363	Q₁₆×C₁₉	—	4	2	no	—
364	SD₁₆×C₁₉	—	2	2	no	—
365	SD₁₆×C₁₉	—	4	1	no	—
366	SD₁₆×C₁₉	—	4	2	no	—
367	M₁₆×C₁₉	—	4	2	no	—
368	C₂×C₈×C₁₉	—	4	2	no	—
369	C₂×C₈×C₁₉	—	4	2	no	—
370	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
371	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
373	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
376	C₄⋊C₄×C₁₉	—	2	1	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	2	no	—
384	C₄⋊C₄×C₁₉	—	2	2	no	—
385	C₄⋊C₄×C₁₉	—	2	2	no	—
386	C₄⋊C₄×C₁₉	—	2	1	no	—
387	C₄⋊C₄×C₁₉	—	2	1	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	1	no	—
392	C₄⋊C₄×C₁₉	—	2	1	no	—
393	C₄⋊C₄×C₁₉	—	2	2	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	1	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	1	no	—
402	C₄⋊C₄×C₁₉	—	2	2	no	—
403	C₄⋊C₄×C₁₉	—	2	2	no	—
404	C₄⋊C₄×C₁₉	—	2	2	no	—
405	C₄⋊C₄×C₁₉	—	2	2	no	—
406	C₄⋊C₄×C₁₉	—	2	2	no	—
407	C₄⋊C₄×C₁₉	—	2	2	no	—
408	C₄⋊C₄×C₁₉	—	2	2	no	—
409	C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
411	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
412	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
413	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
414	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
415	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
416	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
417	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
418	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
419	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
420	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
421	C₂²⋊C₄×C₁₉	—	2	2	no	—
422	C₂²⋊C₄×C₁₉	—	2	2	no	—
423	C₂²⋊C₄×C₁₉	—	2	1	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	2	no	—
429	C₂²⋊C₄×C₁₉	—	2	1	no	—
430	C₂²⋊C₄×C₁₉	—	2	1	no	—
431	C₂²⋊C₄×C₁₉	—	2	1	no	—
432	C₂²⋊C₄×C₁₉	—	2	2	no	—
433	C₂²⋊C₄×C₁₉	—	2	1	no	—
434	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
435	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
436	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
437	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
438	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
439	C₄²×C₁₉	—	2	1	no	—
440	C₄²×C₁₉	—	2	1	no	—
441	C₄²×C₁₉	—	2	1	no	—
442	C₄²×C₁₉	—	2	1	no	—
443	C₄²×C₁₉	—	2	2	no	—
444	C₄²×C₁₉	—	2	2	no	—
445	C₄²×C₁₉	—	2	2	no	—
446	C₄²×C₁₉	—	2	1	no	—
447	C₄²×C₁₉	—	2	2	no	—
448	C₄²×C₁₉	—	2	2	no	—
449	C₄²×C₁₉	—	2	2	no	—
450	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
451	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
453	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₉	C₂⁴	1	2	yes	—
455	#62056	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
456	C₂³×C₁₉	—	2	1	no	—
457	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
458	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
459	Q₈×C₁₉	—	2	2	no	—
460	Q₈×C₁₉	—	2	1	no	—
461	Q₈×C₁₉	—	2	2	no	—
462	Q₈×C₁₉	—	2	1	no	—
463	Q₈×C₁₉	—	2	2	no	—
464	Q₈×C₁₉	—	2	2	no	—
465	Q₈×C₁₉	—	2	1	no	—
466	Q₈×C₁₉	—	2	1	no	—
467	Q₈×C₁₉	—	2	2	no	—
468	Q₈×C₁₉	—	2	2	no	—
469	Q₈×C₁₉	—	2	1	no	—
470	Q₈×C₁₉	—	2	2	no	—
471	Q₈×C₁₉	—	4	4	no	—
472	Q₈×C₁₉	—	4	2	no	—
473	Q₈×C₁₉	—	4	2	no	—
474	Q₈×C₁₉	—	8	2	no	—
475	Q₈×C₁₉	—	8	2	no	—
476	Q₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
477	D₄×C₁₉	—	2	4	no	—
478	D₄×C₁₉	—	2	2	no	—
479	D₄×C₁₉	—	2	1	no	—
480	D₄×C₁₉	—	2	1	no	—
481	D₄×C₁₉	—	4	2	no	—
482	D₄×C₁₉	—	8	2	no	—
483	C₂×C₄×C₁₉	—	2	2	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	2	no	—
488	C₂×C₄×C₁₉	—	2	1	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	2	no	—
493	C₂×C₄×C₁₉	—	2	1	no	—
494	C₂×C₄×C₁₉	—	2	1	no	—
495	C₂×C₄×C₁₉	—	2	1	no	—
496	C₂×C₄×C₁₉	—	2	2	no	—
497	C₂×C₄×C₁₉	—	2	1	no	—
498	C₂×C₄×C₁₉	—	2	2	no	—
499	C₂×C₄×C₁₉	—	2	2	no	—
500	C₂×C₄×C₁₉	—	4	2	no	—
501	C₂×C₄×C₁₉	—	4	4	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	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
510	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
512	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
516	C₈×C₁₉	—	2	1	no	—
517	C₈×C₁₉	—	2	2	no	—
518	C₈×C₁₉	—	2	2	no	—
519	C₈×C₁₉	—	2	1	no	—
520	C₈×C₁₉	—	2	1	no	—
521	C₈×C₁₉	—	2	1	no	—
522	#3552	C₂×C₁₉	1	1	yes	characteristic
523	#3523	C₂×C₁₉	1	1	yes	characteristic, complemented
524	#3398	C₂×C₁₉	1	1	yes	characteristic, complemented
525	#3395	C₂×C₁₉	1	1	yes	characteristic, complemented
526	#3374	C₂×C₁₉	1	1	yes	characteristic, complemented
527	#3364	C₂×C₁₉	1	1	yes	characteristic, complemented
528	#3328	C₂×C₁₉	1	1	yes	characteristic, complemented
529	#3312	C₂×C₁₉	1	2	yes	complemented
530	#3302	C₂×C₁₉	1	1	yes	characteristic, complemented
531	#3300	C₂×C₁₉	1	2	yes	complemented
532	D₄×Q₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
533	D₄×Q₁₆	C₂×C₁₉	1	2	yes	complemented
534	#3276	C₂×C₁₉	1	1	yes	characteristic, complemented
535	#3270	C₂×C₁₉	1	2	yes	complemented
536	#3261	C₂×C₁₉	1	2	yes	complemented
537	#3248	C₂×C₁₉	1	1	yes	characteristic, complemented
538	#3223	C₂×C₁₉	1	2	yes	complemented
539	#3209	C₂×C₁₉	1	1	yes	characteristic, complemented
540	#3127	C₂×C₁₉	1	2	yes	complemented
541	#3108	C₂×C₁₉	1	1	yes	characteristic, complemented
542	#3044	C₂×C₁₉	1	2	yes	complemented
543	C₂×#462	C₂×C₁₉	1	1	yes	characteristic, complemented
544	#2994	C₂×C₁₉	1	1	yes	characteristic, complemented
545	C₂²×C₁₉	—	2	1	no	—
546	C₂²×C₁₉	—	2	1	no	—
547	C₂²×C₁₉	—	2	2	no	—
548	C₂²×C₁₉	—	2	2	no	—
549	C₂²×C₁₉	—	2	2	no	—
550	C₂²×C₁₉	—	4	1	no	—
551	C₂²×C₁₉	—	4	1	no	—
552	C₂²×C₁₉	—	4	1	no	—
553	C₂²×C₁₉	#578	1	2	yes	—
554	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
555	C₄×C₁₉	—	2	2	no	—
556	C₄×C₁₉	—	2	1	no	—
557	C₄×C₁₉	—	2	2	no	—
558	C₄×C₁₉	—	2	1	no	—
559	C₄×C₁₉	—	2	1	no	—
560	C₄×C₁₉	—	2	1	no	—
561	C₄×C₁₉	—	2	2	no	—
562	C₄×C₁₉	—	2	2	no	—
563	C₄×C₁₉	—	4	2	no	—
564	C₄×C₁₉	—	4	1	no	—
565	C₄×C₁₉	—	4	2	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	1	no	—
572	C₄×C₁₉	—	4	2	no	—
573	C₄×C₁₉	#578	1	2	yes	—
574	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
575	C₄×C₁₉	#585	1	1	yes	characteristic
576	C₂×#137	C₂²×C₁₉	1	2	yes	—
577	C₂²×Q₁₆	C₂²×C₁₉	1	2	yes	—
578	C₂²×Q₁₆	C₂²×C₁₉	1	2	yes	—
579	#563	—	2	2	no	—
580	#557	—	2	1	no	—
581	#557	C₂²×C₁₉	1	1	yes	characteristic
582	#557	C₂²×C₁₉	1	1	yes	characteristic
583	#557	C₂²×C₁₉	1	1	yes	characteristic
584	#556	—	2	1	no	—
585	#556	C₂²×C₁₉	1	1	yes	characteristic
586	#556	C₂²×C₁₉	1	1	yes	characteristic
587	#554	—	2	1	no	—
588	#553	—	2	1	no	—
589	#552	—	2	2	no	—
590	#552	C₂²×C₁₉	1	2	yes	—
591	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
592	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
593	D₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
594	D₄×Q₈	C₂²×C₁₉	1	2	yes	—
595	#548	C₂²×C₁₉	1	2	yes	—
596	#547	C₂²×C₁₉	1	1	yes	characteristic
597	#544	—	2	1	no	—
598	#542	—	2	1	no	—
599	#541	—	2	2	no	—
600	#541	C₂²×C₁₉	1	2	yes	—
601	#541	C₂²×C₁₉	1	2	yes	—
602	#539	—	2	2	no	—
603	#536	C₂²×C₁₉	1	2	yes	—
604	#533	—	2	1	no	—
605	#533	C₂²×C₁₉	1	1	yes	characteristic
606	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
607	#529	—	2	1	no	—
608	#529	C₂²×C₁₉	1	1	yes	characteristic
609	#529	C₂²×C₁₉	1	1	yes	characteristic
610	#519	C₂²×C₁₉	1	2	yes	—
611	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
612	#497	C₂²×C₁₉	1	2	yes	—
613	#494	C₂²×C₁₉	1	1	yes	characteristic
614	#494	C₂²×C₁₉	1	2	yes	—
615	#494	C₂²×C₁₉	1	1	yes	characteristic
616	#491	C₂²×C₁₉	1	2	yes	—
617	#488	C₂²×C₁₉	1	2	yes	—
618	#487	C₂²×C₁₉	1	1	yes	characteristic
619	#487	C₂²×C₁₉	1	1	yes	characteristic
620	#485	C₂²×C₁₉	1	2	yes	—
621	#485	C₂²×C₁₉	1	2	yes	—
622	#483	C₂²×C₁₉	1	1	yes	characteristic
623	#480	C₂²×C₁₉	1	1	yes	characteristic
624	#479	C₂²×C₁₉	1	1	yes	characteristic
625	#479	C₂²×C₁₉	1	1	yes	characteristic
626	#479	C₂²×C₁₉	1	2	yes	—
627	#479	C₂²×C₁₉	1	2	yes	—
628	#479	C₂²×C₁₉	1	2	yes	—
629	#475	C₂²×C₁₉	1	1	yes	characteristic
630	#474	C₂²×C₁₉	1	1	yes	characteristic
631	#470	C₂²×C₁₉	1	2	yes	—
632	#470	C₂²×C₁₉	1	2	yes	—
633	#467	C₂²×C₁₉	1	2	yes	—
634	#467	C₂²×C₁₉	1	2	yes	—
635	#467	C₂²×C₁₉	1	2	yes	—
636	#465	C₂²×C₁₉	1	2	yes	—
637	#464	C₂²×C₁₉	1	1	yes	characteristic
638	#464	C₂²×C₁₉	1	1	yes	characteristic
639	#464	C₂²×C₁₉	1	2	yes	—
640	#464	C₂²×C₁₉	1	2	yes	—
641	#464	C₂²×C₁₉	1	2	yes	—
642	#462	C₂²×C₁₉	1	1	yes	characteristic
643	#462	C₂²×C₁₉	1	1	yes	characteristic
644	#462	C₂²×C₁₉	1	1	yes	characteristic
645	#462	C₂²×C₁₉	1	2	yes	—
646	#462	C₂²×C₁₉	1	2	yes	—
647	#462	C₂²×C₁₉	1	2	yes	—
648	#462	C₂²×C₁₉	1	1	yes	characteristic
649	#462	C₂²×C₁₉	1	2	yes	—
650	#462	C₂²×C₁₉	1	1	yes	characteristic
651	#462	C₂²×C₁₉	1	2	yes	—
652	#462	C₂²×C₁₉	1	2	yes	—
653	#462	C₂²×C₁₉	1	2	yes	—
654	#462	C₂²×C₁₉	1	2	yes	—
655	#461	C₂²×C₁₉	1	1	yes	characteristic
656	#452	C₂²×C₁₉	1	2	yes	—
657	#452	C₂²×C₁₉	1	2	yes	—
658	#451	C₂²×C₁₉	1	2	yes	—
659	#451	C₂²×C₁₉	1	1	yes	characteristic
660	#451	C₂²×C₁₉	1	2	yes	—
661	#451	C₂²×C₁₉	1	2	yes	—
662	#451	C₂²×C₁₉	1	2	yes	—
663	#451	C₂²×C₁₉	1	2	yes	—
664	#451	C₂²×C₁₉	1	2	yes	—
665	#448	C₂²×C₁₉	1	1	yes	characteristic
666	#446	C₂²×C₁₉	1	1	yes	characteristic
667	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic
668	#441	C₂²×C₁₉	1	2	yes	—
669	#441	C₂²×C₁₉	1	2	yes	—
670	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
671	C₄×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
672	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
673	C₄×Q₁₆	C₂²×C₁₉	1	2	yes	—
674	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
675	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
676	#436	C₂²×C₁₉	1	1	yes	characteristic
677	#435	C₂²×C₁₉	1	2	yes	—
678	C₈×D₄	C₂²×C₁₉	1	2	yes	—
679	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
680	#433	C₂²×C₁₉	1	2	yes	—
681	#431	C₂²×C₁₉	1	1	yes	characteristic
682	#424	C₂²×C₁₉	1	2	yes	—
683	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
684	#419	C₂²×C₁₉	1	2	yes	—
685	#416	C₂²×C₁₉	1	2	yes	—
686	C₂×#103	C₂²×C₁₉	1	2	yes	—
687	C₂×C₁₉	—	2	2	no	—
688	C₂×C₁₉	—	4	2	no	—
689	C₂×C₁₉	—	8	1	no	—
690	C₂×C₁₉	#3488	1	1	yes	characteristic
691	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
692	C₂×C₁₉	C₂×#578	1	1	yes	characteristic
693	C₂×#41	C₂³×C₁₉	1	2	yes	—
694	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
695	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
696	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
697	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
698	#137	—	4	4	no	—
699	C₂×Q₁₆	—	4	4	no	—
700	C₂×Q₁₆	—	4	4	no	—
701	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
702	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
703	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
704	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
705	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
706	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
707	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
708	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
709	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
710	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
711	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
713	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
714	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
715	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
716	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
717	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	—	2	2	no	—
721	C₄⋊Q₈	—	2	1	no	—
722	C₄⋊Q₈	—	2	2	no	—
723	C₄⋊Q₈	—	2	1	no	—
724	C₄⋊Q₈	—	2	1	no	—
725	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
726	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
727	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
728	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
729	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
730	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
731	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	—	2	2	no	—
735	#126	—	2	2	no	—
736	#126	—	2	2	no	—
737	#126	—	2	2	no	—
738	#126	—	2	2	no	—
739	#126	—	2	1	no	—
740	#126	D₄×C₁₉	1	2	yes	—
741	#125	—	2	1	no	—
742	#125	—	2	2	no	—
743	#125	—	2	2	no	—
744	#125	—	2	2	no	—
745	#125	—	2	2	no	—
746	#125	—	2	2	no	—
747	#125	—	2	2	no	—
748	#125	—	2	2	no	—
749	#125	—	2	2	no	—
750	#125	—	2	1	no	—
751	#125	—	2	1	no	—
752	#125	D₄×C₁₉	1	1	yes	characteristic
753	#125	C₂³×C₁₉	1	1	yes	characteristic
754	#125	C₂³×C₁₉	1	2	yes	—
755	#124	—	2	1	no	—
756	#124	—	2	2	no	—
757	#124	D₄×C₁₉	1	1	yes	characteristic
758	#124	C₂³×C₁₉	1	1	yes	characteristic
759	#124	C₂³×C₁₉	1	2	yes	—
760	#123	—	2	2	no	—
761	#123	—	2	1	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	D₄×C₁₉	1	2	yes	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	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	D₄×C₁₉	1	1	yes	characteristic
778	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
779	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
780	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
781	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
782	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
783	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
784	#121	—	2	2	no	—
785	#121	—	2	1	no	—
786	#121	D₄×C₁₉	1	1	yes	characteristic
787	#121	C₂³×C₁₉	1	1	yes	characteristic
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	2	no	—
791	C₄×Q₈	—	2	2	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	—	2	1	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	1	yes	characteristic
799	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
801	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
802	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
803	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
804	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
805	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
806	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
807	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	2	no	—
814	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₁₉	1	2	yes	—
817	#117	—	2	1	no	—
818	#117	—	2	1	no	—
819	#117	—	2	2	no	—
820	#117	—	2	2	no	—
821	#117	—	2	2	no	—
822	#117	—	2	1	no	—
823	#117	C₂³×C₁₉	1	2	yes	—
824	#117	C₂³×C₁₉	1	2	yes	—
825	C₂×C₄⋊C₄	—	2	1	no	—
826	C₂×C₄⋊C₄	—	2	1	no	—
827	C₂×C₄⋊C₄	—	2	1	no	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
830	C₂×C₄²	—	2	1	no	—
831	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
832	#107	C₂³×C₁₉	1	1	yes	characteristic
833	#107	C₂³×C₁₉	1	2	yes	—
834	#107	C₂³×C₁₉	1	1	yes	characteristic
835	#106	C₂³×C₁₉	1	1	yes	characteristic
836	#106	C₂³×C₁₉	1	1	yes	characteristic
837	#106	C₂³×C₁₉	1	2	yes	—
838	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
839	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
840	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
841	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
842	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
843	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
844	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
845	#103	C₂³×C₁₉	1	2	yes	—
846	#103	C₂³×C₁₉	1	2	yes	—
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	1	yes	characteristic
851	#103	C₂³×C₁₉	1	2	yes	—
852	#103	C₂³×C₁₉	1	2	yes	—
853	#103	C₂³×C₁₉	1	1	yes	characteristic
854	#103	C₂³×C₁₉	1	1	yes	characteristic
855	#103	C₂³×C₁₉	1	1	yes	characteristic
856	#103	C₂³×C₁₉	1	1	yes	characteristic
857	#103	C₂³×C₁₉	1	2	yes	—
858	#103	C₂³×C₁₉	1	1	yes	characteristic
859	#103	C₂³×C₁₉	1	2	yes	—
860	#103	C₂³×C₁₉	1	2	yes	—
861	#103	C₂³×C₁₉	1	2	yes	—
862	#102	C₂³×C₁₉	1	1	yes	characteristic
863	#102	C₂³×C₁₉	1	2	yes	—
864	#102	C₂³×C₁₉	1	1	yes	characteristic
865	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
866	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
867	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
869	#97	C₂³×C₁₉	1	2	yes	—
870	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
871	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
872	C₄×C₈	C₂³×C₁₉	1	2	yes	—
873	C₁₉	#62056	1	1	yes	characteristic, direct product factor, Sylow
874	#41	—	4	2	no	—
875	#41	—	4	2	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	1	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	2	4	no	—
883	C₂×Q₈	—	4	1	no	—
884	C₂×Q₈	—	4	2	no	—
885	C₂×Q₈	—	4	2	no	—
886	C₂×Q₈	—	4	2	no	—
887	C₂×Q₈	—	4	2	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
890	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
891	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
892	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
893	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
894	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
899	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
900	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
909	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
911	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
912	Q₁₆	—	2	2	no	—
913	Q₁₆	—	2	4	no	—
914	Q₁₆	—	2	4	no	—
915	Q₁₆	—	4	2	no	—
916	Q₁₆	—	4	2	no	—
917	Q₁₆	—	4	2	no	—
918	Q₁₆	—	4	2	no	—
919	Q₁₆	—	4	2	no	—
920	Q₁₆	—	4	1	no	—
921	Q₁₆	—	4	2	no	—
922	Q₁₆	—	4	2	no	—
923	SD₁₆	—	2	2	no	—
924	SD₁₆	—	4	1	no	—
925	SD₁₆	—	4	2	no	—
926	M₁₆	—	4	2	no	—
927	C₂×C₈	—	4	2	no	—
928	C₂×C₈	—	4	2	no	—
929	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
930	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
931	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
932	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
933	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
934	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	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	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	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	2	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
970	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
971	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
972	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
973	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
974	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
975	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
978	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
979	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	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	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
994	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
995	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1010	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1011	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1012	C₄²	C₂⁴×C₁₉	1	2	yes	—
1013	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1014	C₂³	—	2	1	no	—
1015	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1016	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1017	Q₈	—	2	2	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	2	2	no	—
1020	Q₈	—	2	1	no	—
1021	Q₈	—	2	2	no	—
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	1	no	—
1024	Q₈	—	2	1	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	2	no	—
1027	Q₈	—	2	1	no	—
1028	Q₈	—	2	2	no	—
1029	Q₈	—	4	4	no	—
1030	Q₈	—	4	2	no	—
1031	Q₈	—	4	2	no	—
1032	Q₈	—	8	2	no	—
1033	Q₈	—	8	2	no	—
1034	Q₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1035	D₄	—	2	4	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	1	no	—
1038	D₄	—	2	1	no	—
1039	D₄	—	4	2	no	—
1040	D₄	—	8	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	4	4	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	8	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	2	no	—
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	2	yes	—
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	C₂²×D₄×C₁₉	1	1	yes	characteristic
1072	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1073	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1074	C₈	—	2	1	no	—
1075	C₈	—	2	2	no	—
1076	C₈	—	2	2	no	—
1077	C₈	—	2	1	no	—
1078	C₈	—	2	1	no	—
1079	C₈	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	2	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	—	4	1	no	—
1088	C₂²	C₁₉×#578	1	2	yes	—
1089	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1090	C₄	—	2	2	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	1	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	2	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	2	no	—
1108	C₄	C₁₉×#578	1	2	yes	—
1109	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1110	C₄	C₁₉×#585	1	1	yes	characteristic
1111	C₂	—	2	2	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	8	1	no	—
1114	C₂	C₁₉×#3488	1	1	yes	characteristic
1115	C₂	C₂×C₁₉×#578	1	1	yes	characteristic
1116	C₂	C₂×C₁₉×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
prime radical	C₁₉×#3552	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#529 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#3523	C₂	semidirect
3. C₁₉×#3398	C₂	semidirect
4. C₁₉×#3395	C₂	semidirect
5. C₁₉×#3374	C₂	semidirect
6. C₁₉×#3364	C₂	semidirect
7. C₁₉×#3328	C₂	semidirect
8. C₁₉×#3312	C₂	semidirect
9. C₁₉×#3302	C₂	semidirect
10. C₁₉×#3300	C₂	semidirect
11. D₄×Q₁₆×C₁₉	C₂	semidirect
12. D₄×Q₁₆×C₁₉	C₂	semidirect
13. C₁₉×#3276	C₂	semidirect
14. C₁₉×#3270	C₂	semidirect
15. C₁₉×#3261	C₂	semidirect
16. C₁₉×#3248	C₂	semidirect
17. C₁₉×#3223	C₂	semidirect
18. C₁₉×#3209	C₂	semidirect
19. C₁₉×#3127	C₂	semidirect
20. C₁₉×#3108	C₂	semidirect
21. C₁₉×#3044	C₂	semidirect
22. C₂×C₁₉×#462	C₂	semidirect
23. C₁₉×#2994	C₂	semidirect
455. #62056	C₁₉	direct (N × H)
523. #3523	C₂×C₁₉	semidirect
524. #3398	C₂×C₁₉	semidirect
525. #3395	C₂×C₁₉	semidirect
526. #3374	C₂×C₁₉	semidirect
527. #3364	C₂×C₁₉	semidirect
528. #3328	C₂×C₁₉	semidirect
529. #3312	C₂×C₁₉	semidirect
530. #3302	C₂×C₁₉	semidirect
531. #3300	C₂×C₁₉	semidirect
532. D₄×Q₁₆	C₂×C₁₉	semidirect
533. D₄×Q₁₆	C₂×C₁₉	semidirect
534. #3276	C₂×C₁₉	semidirect
535. #3270	C₂×C₁₉	semidirect
536. #3261	C₂×C₁₉	semidirect
537. #3248	C₂×C₁₉	semidirect
538. #3223	C₂×C₁₉	semidirect
539. #3209	C₂×C₁₉	semidirect
540. #3127	C₂×C₁₉	semidirect
541. #3108	C₂×C₁₉	semidirect
542. #3044	C₂×C₁₉	semidirect
543. C₂×#462	C₂×C₁₉	semidirect
544. #2994	C₂×C₁₉	semidirect
873. C₁₉	#62056	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×#3552	2
C₁₉×#3523	2
C₁₉×#3398	2
C₁₉×#3395	2
C₁₉×#3374	2
C₁₉×#3364	2
C₁₉×#3328	2
C₁₉×#3312	2
C₁₉×#3302	2
C₁₉×#3300	2
D₄×Q₁₆×C₁₉	2
C₁₉×#3276	2
C₁₉×#3270	2
C₁₉×#3261	2
C₁₉×#3248	2
C₁₉×#3223	2
C₁₉×#3209	2
C₁₉×#3127	2
C₁₉×#3108	2
C₁₉×#3044	2
C₂×C₁₉×#462	2
C₁₉×#2994	2
#62056	19

Subgroups — C19×#62056 #18068015

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62056 #18068015