Subgroups — C₁₉×#61671 #18067630

Order 4864.

2082 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×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3497	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3320	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3313	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3309	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3308	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3271	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3268	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3266	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3265	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3219	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3214	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3203	C₂	1	2	yes	maximal, complemented
14	C₁₉×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3117	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3112	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3013	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3010	C₂	1	2	yes	maximal, complemented
19	C₁₉×#2980	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	2	yes	complemented
21	C₂×C₁₉×#137	C₂²	1	2	yes	complemented
22	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	—
23	C₂×C₁₉×#135	C₂²	1	2	yes	complemented
24	C₂²×SD₁₆×C₁₉	C₂²	1	2	yes	—
25	C₁₉×#560	—	2	2	no	—
26	C₁₉×#556	C₂²	1	1	yes	characteristic
27	C₁₉×#553	C₂²	1	2	yes	—
28	C₁₉×#550	—	2	1	no	—
29	C₁₉×#550	—	2	1	no	—
30	C₁₉×#550	C₂²	1	1	yes	characteristic
31	C₁₉×#550	C₂²	1	2	yes	complemented
32	D₄×Q₈×C₁₉	—	2	1	no	—
33	D₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
34	C₁₉×#548	—	2	2	no	—
35	C₁₉×#548	C₂²	1	2	yes	—
36	C₁₉×#548	C₂²	1	2	yes	complemented
37	C₁₉×#547	C₂²	1	1	yes	characteristic
38	C₁₉×#546	—	2	1	no	—
39	C₁₉×#546	C₂²	1	2	yes	—
40	D₄²×C₁₉	C₂²	1	1	yes	characteristic
41	C₁₉×#542	—	2	1	no	—
42	C₁₉×#538	—	2	2	no	—
43	C₁₉×#537	—	2	1	no	—
44	C₁₉×#537	—	2	1	no	—
45	C₁₉×#537	C₂²	1	2	yes	—
46	C₁₉×#537	C₂²	1	2	yes	complemented
47	C₁₉×#535	—	2	1	no	—
48	C₁₉×#535	C₂²	1	2	yes	—
49	C₁₉×#532	—	2	2	no	—
50	C₁₉×#532	C₂²	1	1	yes	characteristic
51	C₁₉×#532	C₂²	1	1	yes	characteristic
52	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#529	C₂²	1	1	yes	characteristic
54	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
55	C₁₉×#497	C₂²	1	1	yes	characteristic
56	C₁₉×#496	C₂²	1	2	yes	—
57	C₁₉×#496	C₂²	1	1	yes	characteristic
58	C₁₉×#491	C₂²	1	1	yes	characteristic, complemented
59	C₁₉×#490	C₂²	1	1	yes	characteristic, complemented
60	C₁₉×#489	C₂²	1	2	yes	complemented
61	C₁₉×#485	C₂²	1	2	yes	complemented
62	C₁₉×#484	C₂²	1	1	yes	characteristic, complemented
63	C₁₉×#484	C₂²	1	2	yes	complemented
64	C₁₉×#482	C₂²	1	2	yes	complemented
65	C₁₉×#481	C₂²	1	1	yes	characteristic
66	C₁₉×#480	C₂²	1	2	yes	complemented
67	C₁₉×#480	C₂²	1	2	yes	complemented
68	C₁₉×#479	C₂²	1	2	yes	complemented
69	C₁₉×#477	C₂²	1	2	yes	complemented
70	C₁₉×#469	C₂²	1	2	yes	complemented
71	C₁₉×#468	C₂²	1	2	yes	—
72	C₁₉×#468	C₂²	1	2	yes	—
73	C₁₉×#468	C₂²	1	2	yes	complemented
74	C₁₉×#467	C₂²	1	2	yes	complemented
75	C₁₉×#466	C₂²	1	2	yes	—
76	C₁₉×#466	C₂²	1	2	yes	—
77	C₁₉×#465	C₂²	1	2	yes	complemented
78	C₁₉×#464	C₂²	1	2	yes	—
79	C₁₉×#464	C₂²	1	2	yes	complemented
80	C₁₉×#463	C₂²	1	2	yes	—
81	C₁₉×#461	C₂²	1	2	yes	complemented
82	C₁₉×#460	C₂²	1	2	yes	—
83	C₁₉×#459	C₂²	1	2	yes	complemented
84	C₁₉×#452	C₂²	1	2	yes	complemented
85	C₁₉×#452	C₂²	1	2	yes	complemented
86	C₁₉×#452	C₂²	1	2	yes	complemented
87	C₁₉×#451	C₂²	1	2	yes	complemented
88	C₁₉×#451	C₂²	1	1	yes	characteristic, complemented
89	C₁₉×#450	C₂²	1	2	yes	—
90	C₁₉×#449	C₂²	1	2	yes	—
91	C₁₉×#449	C₂²	1	2	yes	—
92	C₁₉×#449	C₂²	1	2	yes	—
93	C₁₉×#449	C₂²	1	2	yes	complemented
94	C₁₉×#449	C₂²	1	2	yes	complemented
95	C₁₉×#449	C₂²	1	2	yes	complemented
96	C₁₉×#449	C₂²	1	2	yes	complemented
97	C₁₉×#448	C₂²	1	2	yes	—
98	C₁₉×#448	C₂²	1	1	yes	characteristic
99	C₁₉×#448	C₂²	1	2	yes	—
100	C₁₉×#448	C₂²	1	2	yes	complemented
101	C₁₉×#448	C₂²	1	2	yes	complemented
102	C₁₉×#447	C₂²	1	2	yes	—
103	C₁₉×#441	C₂²	1	2	yes	complemented
104	C₁₉×#440	C₂²	1	2	yes	—
105	C₁₉×#440	C₂²	1	2	yes	complemented
106	C₁₉×#440	C₂²	1	2	yes	complemented
107	C₁₉×#435	C₂²	1	2	yes	—
108	C₁₉×#435	C₂²	1	2	yes	complemented
109	C₁₉×#435	C₂²	1	2	yes	complemented
110	C₁₉×#435	C₂²	1	2	yes	complemented
111	C₁₉×#432	C₂²	1	1	yes	characteristic, complemented
112	C₁₉×#432	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#419	C₂²	1	2	yes	complemented
114	C₁₉×#417	C₂²	1	2	yes	complemented
115	C₁₉×#416	C₂²	1	2	yes	complemented
116	C₂×C₁₉×#103	C₂²	1	2	yes	complemented
117	C₁₉×#408	C₂²	1	2	yes	complemented
118	C₁₉×#408	C₂²	1	2	yes	complemented
119	C₁₉×2₋¹⁺⁴	—	4	4	no	—
120	C₁₉×2₋¹⁺⁴	—	4	4	no	—
121	C₂×#41×C₁₉	—	2	2	no	—
122	C₂×#41×C₁₉	—	2	2	no	—
123	C₂×#41×C₁₉	—	2	2	no	—
124	C₂×#41×C₁₉	—	2	1	no	—
125	C₂×#41×C₁₉	—	2	1	no	—
126	C₂×#41×C₁₉	C₂³	1	2	yes	—
127	C₂×#41×C₁₉	C₂³	1	2	yes	—
128	C₂×#41×C₁₉	C₂³	1	2	yes	—
129	C₂×#41×C₁₉	C₂³	1	2	yes	—
130	C₂×#41×C₁₉	C₂³	1	2	yes	—
131	C₂²×Q₈×C₁₉	—	2	2	no	—
132	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
134	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₉	—	2	1	no	—
136	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
137	C₁₉×#137	—	4	4	no	—
138	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
139	C₁₉×#135	—	4	4	no	—
140	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
141	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
142	C₂×SD₁₆×C₁₉	—	4	4	no	—
143	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
144	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
145	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
146	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
147	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
148	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
149	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
150	C₂×D₈×C₁₉	C₂³	1	2	yes	—
151	C₂×D₈×C₁₉	C₂³	1	2	yes	—
152	C₂×D₈×C₁₉	C₂³	1	2	yes	—
153	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
154	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
157	C₁₉×C₄⋊Q₈	—	2	2	no	—
158	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
159	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₉×#127	—	2	2	no	—
162	C₁₉×#127	—	2	1	no	—
163	C₁₉×#127	—	2	2	no	—
164	C₁₉×#127	D₄	1	1	yes	characteristic
165	C₁₉×#127	C₂³	1	1	yes	characteristic
166	C₁₉×#127	C₂³	1	1	yes	characteristic
167	C₁₉×#126	—	2	2	no	—
168	C₁₉×#126	—	2	2	no	—
169	C₁₉×#126	—	2	1	no	—
170	C₁₉×#125	C₂³	1	1	yes	characteristic
171	C₁₉×#124	—	2	2	no	—
172	C₁₉×#124	—	2	1	no	—
173	C₁₉×#124	—	2	2	no	—
174	C₁₉×#124	—	2	2	no	—
175	C₁₉×#124	—	2	1	no	—
176	C₁₉×#124	D₄	1	2	yes	—
177	C₁₉×#124	C₂³	1	2	yes	—
178	C₁₉×#124	C₂³	1	1	yes	characteristic
179	C₁₉×#123	—	2	1	no	—
180	C₁₉×#123	—	2	2	no	—
181	C₁₉×#123	—	2	2	no	—
182	C₁₉×#123	—	2	2	no	—
183	C₁₉×C₂²⋊Q₈	—	2	2	no	—
184	C₁₉×C₂²⋊Q₈	—	2	2	no	—
185	C₁₉×C₂²⋊Q₈	—	2	2	no	—
186	C₁₉×C₂²⋊Q₈	—	2	2	no	—
187	C₁₉×C₂²⋊Q₈	—	2	1	no	—
188	C₁₉×C₂²⋊Q₈	—	2	2	no	—
189	C₁₉×C₂²⋊Q₈	—	2	2	no	—
190	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₁₉×#121	—	2	2	no	—
195	C₁₉×#121	—	2	2	no	—
196	C₁₉×#121	—	2	2	no	—
197	C₁₉×#121	—	2	2	no	—
198	C₁₉×#121	—	2	2	no	—
199	C₁₉×#121	—	2	2	no	—
200	C₁₉×#121	—	2	2	no	—
201	C₁₉×#121	—	2	2	no	—
202	C₁₉×#121	—	2	2	no	—
203	C₁₉×#121	—	2	1	no	—
204	C₁₉×#121	—	2	1	no	—
205	C₁₉×#121	—	2	1	no	—
206	C₁₉×#121	—	2	1	no	—
207	C₁₉×#121	—	2	2	no	—
208	C₁₉×#121	—	2	2	no	—
209	C₁₉×#121	—	2	2	no	—
210	C₁₉×#121	—	2	2	no	—
211	C₁₉×#121	D₄	1	2	yes	—
212	C₁₉×#121	D₄	1	1	yes	characteristic
213	C₁₉×#121	D₄	1	1	yes	characteristic
214	C₁₉×#121	C₂³	1	2	yes	—
215	C₁₉×#121	C₂³	1	1	yes	characteristic
216	C₁₉×#121	C₂³	1	2	yes	—
217	C₁₉×#121	C₂³	1	2	yes	—
218	C₁₉×#121	C₂³	1	2	yes	—
219	C₁₉×#121	C₂³	1	2	yes	—
220	C₁₉×#121	C₂³	1	2	yes	—
221	C₁₉×#120	—	2	2	no	—
222	C₁₉×#120	—	2	2	no	—
223	C₁₉×#120	—	2	2	no	—
224	C₁₉×#120	—	2	2	no	—
225	C₄×Q₈×C₁₉	—	2	1	no	—
226	C₄×Q₈×C₁₉	—	2	1	no	—
227	C₄×Q₈×C₁₉	—	2	1	no	—
228	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₉	—	2	2	no	—
232	C₄×D₄×C₁₉	—	2	1	no	—
233	C₄×D₄×C₁₉	—	2	2	no	—
234	C₄×D₄×C₁₉	—	2	1	no	—
235	C₄×D₄×C₁₉	—	2	2	no	—
236	C₄×D₄×C₁₉	—	2	2	no	—
237	C₄×D₄×C₁₉	—	2	2	no	—
238	C₄×D₄×C₁₉	—	2	1	no	—
239	C₄×D₄×C₁₉	—	2	1	no	—
240	C₄×D₄×C₁₉	—	2	1	no	—
241	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₉	C₂³	1	2	yes	—
243	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₉	C₂³	1	2	yes	—
245	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
246	C₁₉×#117	—	2	1	no	—
247	C₁₉×#117	C₂³	1	2	yes	—
248	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
249	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
250	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
252	C₂×C₄²×C₁₉	—	2	1	no	—
253	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
254	C₁₉×#107	C₂³	1	2	yes	—
255	C₁₉×#107	C₂³	1	2	yes	—
256	C₁₉×#107	C₂³	1	2	yes	—
257	C₁₉×#106	C₂³	1	2	yes	—
258	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
259	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
260	C₁₉×#103	C₂³	1	2	yes	—
261	C₁₉×#103	C₂³	1	2	yes	—
262	C₁₉×#103	C₂³	1	2	yes	—
263	C₁₉×#103	C₂³	1	2	yes	—
264	C₁₉×#103	C₂³	1	2	yes	—
265	C₁₉×#103	C₂³	1	2	yes	—
266	C₁₉×#103	C₂³	1	2	yes	—
267	C₁₉×#103	C₂³	1	2	yes	—
268	C₁₉×#103	C₂³	1	2	yes	—
269	C₁₉×#102	C₂³	1	2	yes	—
270	C₁₉×#102	C₂³	1	2	yes	—
271	C₁₉×#102	C₂³	1	2	yes	—
272	C₁₉×#102	C₂³	1	2	yes	—
273	C₁₉×#102	C₂³	1	2	yes	—
274	C₁₉×#102	C₂³	1	2	yes	—
275	C₁₉×#102	C₂³	1	2	yes	—
276	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
277	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
282	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₉×#97	C₂³	1	2	yes	—
284	C₁₉×#97	C₂³	1	1	yes	characteristic
285	C₁₉×#97	C₂³	1	1	yes	characteristic
286	C₂⁴×C₁₉	—	2	2	no	—
287	#41×C₁₉	—	2	4	no	—
288	#41×C₁₉	—	2	4	no	—
289	#41×C₁₉	—	4	2	no	—
290	#41×C₁₉	—	4	2	no	—
291	#41×C₁₉	—	4	2	no	—
292	#41×C₁₉	—	4	2	no	—
293	#41×C₁₉	—	4	2	no	—
294	#41×C₁₉	—	4	2	no	—
295	#41×C₁₉	—	4	8	no	—
296	#41×C₁₉	—	4	8	no	—
297	#41×C₁₉	—	4	2	no	—
298	#41×C₁₉	—	4	2	no	—
299	#41×C₁₉	—	4	8	no	—
300	#41×C₁₉	—	8	2	no	—
301	#41×C₁₉	—	8	2	no	—
302	C₂×Q₈×C₁₉	—	2	4	no	—
303	C₂×Q₈×C₁₉	—	2	1	no	—
304	C₂×Q₈×C₁₉	—	2	1	no	—
305	C₂×Q₈×C₁₉	—	2	2	no	—
306	C₂×Q₈×C₁₉	—	2	2	no	—
307	C₂×Q₈×C₁₉	—	2	4	no	—
308	C₂×Q₈×C₁₉	—	2	4	no	—
309	C₂×Q₈×C₁₉	—	4	2	no	—
310	C₂×Q₈×C₁₉	—	4	2	no	—
311	C₂×Q₈×C₁₉	—	4	8	no	—
312	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
313	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
314	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
315	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
316	C₂×D₄×C₁₉	—	2	2	no	—
317	C₂×D₄×C₁₉	—	2	2	no	—
318	C₂×D₄×C₁₉	—	2	2	no	—
319	C₂×D₄×C₁₉	—	2	1	no	—
320	C₂×D₄×C₁₉	—	2	2	no	—
321	C₂×D₄×C₁₉	—	2	2	no	—
322	C₂×D₄×C₁₉	—	2	2	no	—
323	C₂×D₄×C₁₉	—	2	2	no	—
324	C₂×D₄×C₁₉	—	2	2	no	—
325	C₂×D₄×C₁₉	—	2	2	no	—
326	C₂×D₄×C₁₉	—	2	2	no	—
327	C₂×D₄×C₁₉	—	2	1	no	—
328	C₂×D₄×C₁₉	—	2	1	no	—
329	C₂×D₄×C₁₉	—	2	1	no	—
330	C₂×D₄×C₁₉	—	2	1	no	—
331	C₂×D₄×C₁₉	—	2	2	no	—
332	C₂×D₄×C₁₉	—	4	2	no	—
333	C₂×D₄×C₁₉	—	4	2	no	—
334	C₂×D₄×C₁₉	—	8	2	no	—
335	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
336	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
337	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
339	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
343	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₉	—	2	1	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	—	2	1	no	—
350	C₂²×C₄×C₁₉	—	2	2	no	—
351	C₂²×C₄×C₁₉	—	2	2	no	—
352	C₂²×C₄×C₁₉	—	2	2	no	—
353	C₂²×C₄×C₁₉	—	2	2	no	—
354	C₂²×C₄×C₁₉	—	2	2	no	—
355	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
360	Q₁₆×C₁₉	—	2	4	no	—
361	Q₁₆×C₁₉	—	4	2	no	—
362	SD₁₆×C₁₉	—	2	4	no	—
363	SD₁₆×C₁₉	—	2	4	no	—
364	SD₁₆×C₁₉	—	2	4	no	—
365	SD₁₆×C₁₉	—	4	2	no	—
366	SD₁₆×C₁₉	—	4	2	no	—
367	SD₁₆×C₁₉	—	4	2	no	—
368	SD₁₆×C₁₉	—	4	2	no	—
369	D₈×C₁₉	—	4	2	no	—
370	D₈×C₁₉	—	4	2	no	—
371	D₈×C₁₉	—	4	2	no	—
372	M₁₆×C₁₉	—	4	2	no	—
373	M₁₆×C₁₉	—	4	2	no	—
374	C₂×C₈×C₁₉	—	4	2	no	—
375	C₂×C₈×C₁₉	—	4	2	no	—
376	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
377	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
378	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
379	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
380	C₄⋊C₄×C₁₉	—	2	2	no	—
381	C₄⋊C₄×C₁₉	—	2	2	no	—
382	C₄⋊C₄×C₁₉	—	2	1	no	—
383	C₄⋊C₄×C₁₉	—	2	2	no	—
384	C₄⋊C₄×C₁₉	—	2	1	no	—
385	C₄⋊C₄×C₁₉	—	2	1	no	—
386	C₄⋊C₄×C₁₉	—	2	1	no	—
387	C₄⋊C₄×C₁₉	—	2	1	no	—
388	C₄⋊C₄×C₁₉	—	2	1	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	2	no	—
393	C₄⋊C₄×C₁₉	—	2	1	no	—
394	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
395	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
396	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
397	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
398	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
399	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
400	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
401	C₂²⋊C₄×C₁₉	—	2	2	no	—
402	C₂²⋊C₄×C₁₉	—	2	2	no	—
403	C₂²⋊C₄×C₁₉	—	2	1	no	—
404	C₂²⋊C₄×C₁₉	—	2	2	no	—
405	C₂²⋊C₄×C₁₉	—	2	2	no	—
406	C₂²⋊C₄×C₁₉	—	2	1	no	—
407	C₂²⋊C₄×C₁₉	—	2	2	no	—
408	C₂²⋊C₄×C₁₉	—	2	1	no	—
409	C₂²⋊C₄×C₁₉	—	2	1	no	—
410	C₂²⋊C₄×C₁₉	—	2	2	no	—
411	C₂²⋊C₄×C₁₉	—	2	2	no	—
412	C₂²⋊C₄×C₁₉	—	2	2	no	—
413	C₂²⋊C₄×C₁₉	—	2	2	no	—
414	C₂²⋊C₄×C₁₉	—	2	2	no	—
415	C₂²⋊C₄×C₁₉	—	2	2	no	—
416	C₂²⋊C₄×C₁₉	—	2	2	no	—
417	C₂²⋊C₄×C₁₉	—	2	1	no	—
418	C₂²⋊C₄×C₁₉	—	2	2	no	—
419	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
420	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
421	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
422	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
423	C₄²×C₁₉	—	2	2	no	—
424	C₄²×C₁₉	—	2	2	no	—
425	C₄²×C₁₉	—	2	1	no	—
426	C₄²×C₁₉	—	2	2	no	—
427	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
428	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
429	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
430	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
431	#61671	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
432	C₂³×C₁₉	—	2	1	no	—
433	C₂³×C₁₉	—	2	2	no	—
434	C₂³×C₁₉	—	2	2	no	—
435	C₂³×C₁₉	—	8	2	no	—
436	C₂³×C₁₉	—	8	2	no	—
437	C₂³×C₁₉	—	8	2	no	—
438	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
439	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
440	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
441	Q₈×C₁₉	—	2	4	no	—
442	Q₈×C₁₉	—	2	2	no	—
443	Q₈×C₁₉	—	2	2	no	—
444	Q₈×C₁₉	—	2	2	no	—
445	Q₈×C₁₉	—	2	2	no	—
446	Q₈×C₁₉	—	4	2	no	—
447	Q₈×C₁₉	—	4	4	no	—
448	Q₈×C₁₉	—	4	4	no	—
449	Q₈×C₁₉	—	4	2	no	—
450	Q₈×C₁₉	H(5,𝔽₂)	1	4	yes	—
451	D₄×C₁₉	—	2	2	no	—
452	D₄×C₁₉	—	2	2	no	—
453	D₄×C₁₉	—	2	2	no	—
454	D₄×C₁₉	—	2	2	no	—
455	D₄×C₁₉	—	2	2	no	—
456	D₄×C₁₉	—	4	1	no	—
457	D₄×C₁₉	—	4	2	no	—
458	D₄×C₁₉	—	4	2	no	—
459	D₄×C₁₉	—	4	2	no	—
460	D₄×C₁₉	—	4	2	no	—
461	D₄×C₁₉	—	4	1	no	—
462	D₄×C₁₉	—	4	4	no	—
463	D₄×C₁₉	—	4	4	no	—
464	D₄×C₁₉	—	4	2	no	—
465	D₄×C₁₉	—	4	2	no	—
466	D₄×C₁₉	—	4	4	no	—
467	D₄×C₁₉	—	8	1	no	—
468	D₄×C₁₉	—	8	1	no	—
469	D₄×C₁₉	—	8	2	no	—
470	D₄×C₁₉	—	8	2	no	—
471	D₄×C₁₉	—	8	2	no	—
472	D₄×C₁₉	—	8	1	no	—
473	D₄×C₁₉	—	8	2	no	—
474	D₄×C₁₉	—	8	2	no	—
475	D₄×C₁₉	—	8	2	no	—
476	D₄×C₁₉	—	8	2	no	—
477	D₄×C₁₉	—	8	2	no	—
478	C₂×C₄×C₁₉	—	2	4	no	—
479	C₂×C₄×C₁₉	—	2	2	no	—
480	C₂×C₄×C₁₉	—	2	2	no	—
481	C₂×C₄×C₁₉	—	2	2	no	—
482	C₂×C₄×C₁₉	—	2	2	no	—
483	C₂×C₄×C₁₉	—	2	2	no	—
484	C₂×C₄×C₁₉	—	2	2	no	—
485	C₂×C₄×C₁₉	—	2	1	no	—
486	C₂×C₄×C₁₉	—	2	2	no	—
487	C₂×C₄×C₁₉	—	2	1	no	—
488	C₂×C₄×C₁₉	—	2	2	no	—
489	C₂×C₄×C₁₉	—	2	1	no	—
490	C₂×C₄×C₁₉	—	2	2	no	—
491	C₂×C₄×C₁₉	—	4	1	no	—
492	C₂×C₄×C₁₉	—	4	1	no	—
493	C₂×C₄×C₁₉	—	4	4	no	—
494	C₂×C₄×C₁₉	—	4	4	no	—
495	C₂×C₄×C₁₉	—	4	4	no	—
496	C₂×C₄×C₁₉	—	4	4	no	—
497	C₂×C₄×C₁₉	—	4	2	no	—
498	C₂×C₄×C₁₉	—	4	4	no	—
499	C₂×C₄×C₁₉	—	8	2	no	—
500	C₂×C₄×C₁₉	—	8	2	no	—
501	C₂×C₄×C₁₉	—	8	1	no	—
502	C₂×C₄×C₁₉	—	8	2	no	—
503	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
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	C₂⁵	1	1	yes	characteristic
511	C₈×C₁₉	—	2	2	no	—
512	C₈×C₁₉	—	2	2	no	—
513	C₈×C₁₉	—	2	2	no	—
514	C₈×C₁₉	—	2	2	no	—
515	#3546	C₂×C₁₉	1	1	yes	characteristic, complemented
516	#3497	C₂×C₁₉	1	1	yes	characteristic, complemented
517	#3320	C₂×C₁₉	1	2	yes	complemented
518	#3313	C₂×C₁₉	1	2	yes	complemented
519	#3309	C₂×C₁₉	1	2	yes	complemented
520	#3308	C₂×C₁₉	1	2	yes	complemented
521	#3271	C₂×C₁₉	1	2	yes	complemented
522	#3268	C₂×C₁₉	1	2	yes	complemented
523	#3266	C₂×C₁₉	1	2	yes	complemented
524	#3265	C₂×C₁₉	1	2	yes	complemented
525	#3219	C₂×C₁₉	1	1	yes	characteristic, complemented
526	#3214	C₂×C₁₉	1	1	yes	characteristic, complemented
527	#3203	C₂×C₁₉	1	2	yes	complemented
528	#3198	C₂×C₁₉	1	2	yes	complemented
529	#3117	C₂×C₁₉	1	1	yes	characteristic, complemented
530	#3112	C₂×C₁₉	1	1	yes	characteristic, complemented
531	#3013	C₂×C₁₉	1	2	yes	complemented
532	#3010	C₂×C₁₉	1	2	yes	complemented
533	#2980	C₂×C₁₉	1	1	yes	characteristic, complemented
534	C₂²×C₁₉	—	2	1	no	—
535	C₂²×C₁₉	—	2	2	no	—
536	C₂²×C₁₉	—	2	2	no	—
537	C₂²×C₁₉	—	2	1	no	—
538	C₂²×C₁₉	—	2	2	no	—
539	C₂²×C₁₉	—	2	2	no	—
540	C₂²×C₁₉	—	2	1	no	—
541	C₂²×C₁₉	—	2	2	no	—
542	C₂²×C₁₉	—	2	2	no	—
543	C₂²×C₁₉	—	4	1	no	—
544	C₂²×C₁₉	—	4	2	no	—
545	C₂²×C₁₉	—	4	2	no	—
546	C₂²×C₁₉	—	4	2	no	—
547	C₂²×C₁₉	—	4	2	no	—
548	C₂²×C₁₉	—	4	1	no	—
549	C₂²×C₁₉	—	4	2	no	—
550	C₂²×C₁₉	—	4	2	no	—
551	C₂²×C₁₉	—	4	1	no	—
552	C₂²×C₁₉	—	16	4	no	—
553	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
554	C₄×C₁₉	—	2	1	no	—
555	C₄×C₁₉	—	2	1	no	—
556	C₄×C₁₉	—	2	1	no	—
557	C₄×C₁₉	—	2	1	no	—
558	C₄×C₁₉	—	2	4	no	—
559	C₄×C₁₉	—	2	1	no	—
560	C₄×C₁₉	—	2	2	no	—
561	C₄×C₁₉	—	2	2	no	—
562	C₄×C₁₉	—	4	1	no	—
563	C₄×C₁₉	—	4	2	no	—
564	C₄×C₁₉	—	4	2	no	—
565	C₄×C₁₉	—	4	1	no	—
566	C₄×C₁₉	—	4	2	no	—
567	C₄×C₁₉	—	4	1	no	—
568	C₄×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
569	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	2	yes	complemented
570	C₂×#137	C₂²×C₁₉	1	2	yes	complemented
571	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	—
572	C₂×#135	C₂²×C₁₉	1	2	yes	complemented
573	C₂²×SD₁₆	C₂²×C₁₉	1	2	yes	—
574	#560	—	2	2	no	—
575	#556	C₂²×C₁₉	1	1	yes	characteristic
576	#553	C₂²×C₁₉	1	2	yes	—
577	#550	—	2	1	no	—
578	#550	—	2	1	no	—
579	#550	C₂²×C₁₉	1	1	yes	characteristic
580	#550	C₂²×C₁₉	1	2	yes	complemented
581	D₄×Q₈	—	2	1	no	—
582	D₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
583	#548	—	2	2	no	—
584	#548	C₂²×C₁₉	1	2	yes	—
585	#548	C₂²×C₁₉	1	2	yes	complemented
586	#547	C₂²×C₁₉	1	1	yes	characteristic
587	#546	—	2	1	no	—
588	#546	C₂²×C₁₉	1	2	yes	—
589	D₄²	C₂²×C₁₉	1	1	yes	characteristic
590	#542	—	2	1	no	—
591	#538	—	2	2	no	—
592	#537	—	2	1	no	—
593	#537	—	2	1	no	—
594	#537	C₂²×C₁₉	1	2	yes	—
595	#537	C₂²×C₁₉	1	2	yes	complemented
596	#535	—	2	1	no	—
597	#535	C₂²×C₁₉	1	2	yes	—
598	#532	—	2	2	no	—
599	#532	C₂²×C₁₉	1	1	yes	characteristic
600	#532	C₂²×C₁₉	1	1	yes	characteristic
601	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
602	#529	C₂²×C₁₉	1	1	yes	characteristic
603	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
604	#497	C₂²×C₁₉	1	1	yes	characteristic
605	#496	C₂²×C₁₉	1	2	yes	—
606	#496	C₂²×C₁₉	1	1	yes	characteristic
607	#491	C₂²×C₁₉	1	1	yes	characteristic, complemented
608	#490	C₂²×C₁₉	1	1	yes	characteristic, complemented
609	#489	C₂²×C₁₉	1	2	yes	complemented
610	#485	C₂²×C₁₉	1	2	yes	complemented
611	#484	C₂²×C₁₉	1	1	yes	characteristic, complemented
612	#484	C₂²×C₁₉	1	2	yes	complemented
613	#482	C₂²×C₁₉	1	2	yes	complemented
614	#481	C₂²×C₁₉	1	1	yes	characteristic
615	#480	C₂²×C₁₉	1	2	yes	complemented
616	#480	C₂²×C₁₉	1	2	yes	complemented
617	#479	C₂²×C₁₉	1	2	yes	complemented
618	#477	C₂²×C₁₉	1	2	yes	complemented
619	#469	C₂²×C₁₉	1	2	yes	complemented
620	#468	C₂²×C₁₉	1	2	yes	—
621	#468	C₂²×C₁₉	1	2	yes	—
622	#468	C₂²×C₁₉	1	2	yes	complemented
623	#467	C₂²×C₁₉	1	2	yes	complemented
624	#466	C₂²×C₁₉	1	2	yes	—
625	#466	C₂²×C₁₉	1	2	yes	—
626	#465	C₂²×C₁₉	1	2	yes	complemented
627	#464	C₂²×C₁₉	1	2	yes	—
628	#464	C₂²×C₁₉	1	2	yes	complemented
629	#463	C₂²×C₁₉	1	2	yes	—
630	#461	C₂²×C₁₉	1	2	yes	complemented
631	#460	C₂²×C₁₉	1	2	yes	—
632	#459	C₂²×C₁₉	1	2	yes	complemented
633	#452	C₂²×C₁₉	1	2	yes	complemented
634	#452	C₂²×C₁₉	1	2	yes	complemented
635	#452	C₂²×C₁₉	1	2	yes	complemented
636	#451	C₂²×C₁₉	1	1	yes	characteristic, complemented
637	#451	C₂²×C₁₉	1	2	yes	complemented
638	#450	C₂²×C₁₉	1	2	yes	—
639	#449	C₂²×C₁₉	1	2	yes	—
640	#449	C₂²×C₁₉	1	2	yes	—
641	#449	C₂²×C₁₉	1	2	yes	—
642	#449	C₂²×C₁₉	1	2	yes	complemented
643	#449	C₂²×C₁₉	1	2	yes	complemented
644	#449	C₂²×C₁₉	1	2	yes	complemented
645	#449	C₂²×C₁₉	1	2	yes	complemented
646	#448	C₂²×C₁₉	1	1	yes	characteristic
647	#448	C₂²×C₁₉	1	2	yes	—
648	#448	C₂²×C₁₉	1	2	yes	—
649	#448	C₂²×C₁₉	1	2	yes	complemented
650	#448	C₂²×C₁₉	1	2	yes	complemented
651	#447	C₂²×C₁₉	1	2	yes	—
652	#441	C₂²×C₁₉	1	2	yes	complemented
653	#440	C₂²×C₁₉	1	2	yes	—
654	#440	C₂²×C₁₉	1	2	yes	complemented
655	#440	C₂²×C₁₉	1	2	yes	complemented
656	#435	C₂²×C₁₉	1	2	yes	—
657	#435	C₂²×C₁₉	1	2	yes	complemented
658	#435	C₂²×C₁₉	1	2	yes	complemented
659	#435	C₂²×C₁₉	1	2	yes	complemented
660	#432	C₂²×C₁₉	1	1	yes	characteristic, complemented
661	#432	C₂²×C₁₉	1	1	yes	characteristic, complemented
662	#419	C₂²×C₁₉	1	2	yes	complemented
663	#417	C₂²×C₁₉	1	2	yes	complemented
664	#416	C₂²×C₁₉	1	2	yes	complemented
665	C₂×#103	C₂²×C₁₉	1	2	yes	complemented
666	#408	C₂²×C₁₉	1	2	yes	complemented
667	#408	C₂²×C₁₉	1	2	yes	complemented
668	C₂×C₁₉	—	4	1	no	—
669	C₂×C₁₉	—	4	2	no	—
670	C₂×C₁₉	—	4	2	no	—
671	C₂×C₁₉	—	8	2	no	—
672	C₂×C₁₉	—	8	2	no	—
673	C₂×C₁₉	—	8	1	no	—
674	C₂×C₁₉	#3484	1	1	yes	characteristic
675	C₂×C₁₉	#3585	1	1	yes	characteristic
676	C₂×C₁₉	#3586	1	1	yes	characteristic
677	2₋¹⁺⁴	—	4	4	no	—
678	2₋¹⁺⁴	—	4	4	no	—
679	C₂×#41	—	2	2	no	—
680	C₂×#41	—	2	2	no	—
681	C₂×#41	—	2	2	no	—
682	C₂×#41	—	2	1	no	—
683	C₂×#41	—	2	1	no	—
684	C₂×#41	C₂³×C₁₉	1	2	yes	—
685	C₂×#41	C₂³×C₁₉	1	2	yes	—
686	C₂×#41	C₂³×C₁₉	1	2	yes	—
687	C₂×#41	C₂³×C₁₉	1	2	yes	—
688	C₂×#41	C₂³×C₁₉	1	2	yes	—
689	C₂²×Q₈	—	2	2	no	—
690	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
691	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
692	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
693	C₂²×D₄	—	2	1	no	—
694	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
695	#137	—	4	4	no	—
696	AGL(1,ℤ/8)	—	4	4	no	—
697	#135	—	4	4	no	—
698	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
699	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
700	C₂×SD₁₆	—	4	4	no	—
701	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
708	C₂×D₈	C₂³×C₁₉	1	2	yes	—
709	C₂×D₈	C₂³×C₁₉	1	2	yes	—
710	C₂×D₈	C₂³×C₁₉	1	2	yes	—
711	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
712	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
713	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
714	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
715	C₄⋊Q₈	—	2	2	no	—
716	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
719	#127	—	2	2	no	—
720	#127	—	2	1	no	—
721	#127	—	2	2	no	—
722	#127	D₄×C₁₉	1	1	yes	characteristic
723	#127	C₂³×C₁₉	1	1	yes	characteristic
724	#127	C₂³×C₁₉	1	1	yes	characteristic
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	1	no	—
728	#125	C₂³×C₁₉	1	1	yes	characteristic
729	#124	—	2	2	no	—
730	#124	—	2	1	no	—
731	#124	—	2	2	no	—
732	#124	—	2	2	no	—
733	#124	—	2	1	no	—
734	#124	D₄×C₁₉	1	2	yes	—
735	#124	C₂³×C₁₉	1	1	yes	characteristic
736	#124	C₂³×C₁₉	1	2	yes	—
737	#123	—	2	1	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
749	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
750	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
751	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
752	#121	—	2	2	no	—
753	#121	—	2	2	no	—
754	#121	—	2	2	no	—
755	#121	—	2	2	no	—
756	#121	—	2	2	no	—
757	#121	—	2	2	no	—
758	#121	—	2	2	no	—
759	#121	—	2	2	no	—
760	#121	—	2	2	no	—
761	#121	—	2	1	no	—
762	#121	—	2	1	no	—
763	#121	—	2	1	no	—
764	#121	—	2	1	no	—
765	#121	—	2	2	no	—
766	#121	—	2	2	no	—
767	#121	—	2	2	no	—
768	#121	—	2	2	no	—
769	#121	D₄×C₁₉	1	2	yes	—
770	#121	D₄×C₁₉	1	1	yes	characteristic
771	#121	D₄×C₁₉	1	1	yes	characteristic
772	#121	C₂³×C₁₉	1	1	yes	characteristic
773	#121	C₂³×C₁₉	1	2	yes	—
774	#121	C₂³×C₁₉	1	2	yes	—
775	#121	C₂³×C₁₉	1	2	yes	—
776	#121	C₂³×C₁₉	1	2	yes	—
777	#121	C₂³×C₁₉	1	2	yes	—
778	#121	C₂³×C₁₉	1	2	yes	—
779	#120	—	2	2	no	—
780	#120	—	2	2	no	—
781	#120	—	2	2	no	—
782	#120	—	2	2	no	—
783	C₄×Q₈	—	2	1	no	—
784	C₄×Q₈	—	2	1	no	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
787	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
788	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
800	C₄×D₄	C₂³×C₁₉	1	2	yes	—
801	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
802	C₄×D₄	C₂³×C₁₉	1	2	yes	—
803	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
804	#117	—	2	1	no	—
805	#117	C₂³×C₁₉	1	2	yes	—
806	C₂×C₄⋊C₄	—	2	1	no	—
807	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
808	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
809	C₂×C₂²⋊C₄	—	2	2	no	—
810	C₂×C₄²	—	2	1	no	—
811	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
812	#107	C₂³×C₁₉	1	2	yes	—
813	#107	C₂³×C₁₉	1	2	yes	—
814	#107	C₂³×C₁₉	1	2	yes	—
815	#106	C₂³×C₁₉	1	2	yes	—
816	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
817	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
818	#103	C₂³×C₁₉	1	2	yes	—
819	#103	C₂³×C₁₉	1	2	yes	—
820	#103	C₂³×C₁₉	1	2	yes	—
821	#103	C₂³×C₁₉	1	2	yes	—
822	#103	C₂³×C₁₉	1	2	yes	—
823	#103	C₂³×C₁₉	1	2	yes	—
824	#103	C₂³×C₁₉	1	2	yes	—
825	#103	C₂³×C₁₉	1	2	yes	—
826	#103	C₂³×C₁₉	1	2	yes	—
827	#102	C₂³×C₁₉	1	2	yes	—
828	#102	C₂³×C₁₉	1	2	yes	—
829	#102	C₂³×C₁₉	1	2	yes	—
830	#102	C₂³×C₁₉	1	2	yes	—
831	#102	C₂³×C₁₉	1	2	yes	—
832	#102	C₂³×C₁₉	1	2	yes	—
833	#102	C₂³×C₁₉	1	2	yes	—
834	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
835	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
836	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
837	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
838	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
839	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
840	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
841	#97	C₂³×C₁₉	1	2	yes	—
842	#97	C₂³×C₁₉	1	1	yes	characteristic
843	#97	C₂³×C₁₉	1	1	yes	characteristic
844	C₁₉	#61671	1	1	yes	characteristic, direct product factor, Sylow
845	C₂⁴	—	2	2	no	—
846	#41	—	2	4	no	—
847	#41	—	2	4	no	—
848	#41	—	4	2	no	—
849	#41	—	4	2	no	—
850	#41	—	4	2	no	—
851	#41	—	4	2	no	—
852	#41	—	4	2	no	—
853	#41	—	4	2	no	—
854	#41	—	4	8	no	—
855	#41	—	4	8	no	—
856	#41	—	4	2	no	—
857	#41	—	4	2	no	—
858	#41	—	4	8	no	—
859	#41	—	8	2	no	—
860	#41	—	8	2	no	—
861	C₂×Q₈	—	2	4	no	—
862	C₂×Q₈	—	2	1	no	—
863	C₂×Q₈	—	2	1	no	—
864	C₂×Q₈	—	2	2	no	—
865	C₂×Q₈	—	2	2	no	—
866	C₂×Q₈	—	2	4	no	—
867	C₂×Q₈	—	2	4	no	—
868	C₂×Q₈	—	4	2	no	—
869	C₂×Q₈	—	4	2	no	—
870	C₂×Q₈	—	4	8	no	—
871	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
872	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
873	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
874	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	1	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	1	no	—
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	2	1	no	—
889	C₂×D₄	—	2	1	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	4	2	no	—
892	C₂×D₄	—	4	2	no	—
893	C₂×D₄	—	8	2	no	—
894	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
895	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
896	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
897	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
898	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
899	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
900	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
901	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
902	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
903	C₂²×C₄	—	2	1	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	—	2	1	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	—	2	2	no	—
914	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
915	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
916	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
918	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
919	Q₁₆	—	2	4	no	—
920	Q₁₆	—	4	2	no	—
921	SD₁₆	—	2	4	no	—
922	SD₁₆	—	2	4	no	—
923	SD₁₆	—	2	4	no	—
924	SD₁₆	—	4	2	no	—
925	SD₁₆	—	4	2	no	—
926	SD₁₆	—	4	2	no	—
927	SD₁₆	—	4	2	no	—
928	D₈	—	4	2	no	—
929	D₈	—	4	2	no	—
930	D₈	—	4	2	no	—
931	M₁₆	—	4	2	no	—
932	M₁₆	—	4	2	no	—
933	C₂×C₈	—	4	2	no	—
934	C₂×C₈	—	4	2	no	—
935	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
936	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
937	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
938	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
954	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
955	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
956	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
957	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
958	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
959	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
979	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	2	no	—
984	C₄²	—	2	1	no	—
985	C₄²	—	2	2	no	—
986	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
987	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
988	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
989	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
990	C₂³	—	2	1	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	8	2	no	—
994	C₂³	—	8	2	no	—
995	C₂³	—	8	2	no	—
996	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
997	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
998	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
999	Q₈	—	2	4	no	—
1000	Q₈	—	2	2	no	—
1001	Q₈	—	2	2	no	—
1002	Q₈	—	2	2	no	—
1003	Q₈	—	2	2	no	—
1004	Q₈	—	4	2	no	—
1005	Q₈	—	4	4	no	—
1006	Q₈	—	4	4	no	—
1007	Q₈	—	4	2	no	—
1008	Q₈	C₁₉×H(5,𝔽₂)	1	4	yes	—
1009	D₄	—	2	2	no	—
1010	D₄	—	2	2	no	—
1011	D₄	—	2	2	no	—
1012	D₄	—	2	2	no	—
1013	D₄	—	2	2	no	—
1014	D₄	—	4	1	no	—
1015	D₄	—	4	2	no	—
1016	D₄	—	4	2	no	—
1017	D₄	—	4	2	no	—
1018	D₄	—	4	1	no	—
1019	D₄	—	4	2	no	—
1020	D₄	—	4	4	no	—
1021	D₄	—	4	4	no	—
1022	D₄	—	4	2	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	4	4	no	—
1025	D₄	—	8	2	no	—
1026	D₄	—	8	1	no	—
1027	D₄	—	8	1	no	—
1028	D₄	—	8	2	no	—
1029	D₄	—	8	2	no	—
1030	D₄	—	8	2	no	—
1031	D₄	—	8	2	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	D₄	—	8	1	no	—
1035	D₄	—	8	2	no	—
1036	C₂×C₄	—	2	4	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	4	1	no	—
1050	C₂×C₄	—	4	1	no	—
1051	C₂×C₄	—	4	4	no	—
1052	C₂×C₄	—	4	4	no	—
1053	C₂×C₄	—	4	4	no	—
1054	C₂×C₄	—	4	4	no	—
1055	C₂×C₄	—	4	2	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	—	8	1	no	—
1061	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
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	2	yes	—
1068	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1069	C₈	—	2	2	no	—
1070	C₈	—	2	2	no	—
1071	C₈	—	2	2	no	—
1072	C₈	—	2	2	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	2	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	16	4	no	—
1092	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1093	C₄	—	2	4	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	2	no	—
1097	C₄	—	2	1	no	—
1098	C₄	—	2	1	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	2	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	1	no	—
1107	C₄	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
1108	C₂	—	4	2	no	—
1109	C₂	—	4	1	no	—
1110	C₂	—	4	2	no	—
1111	C₂	—	8	1	no	—
1112	C₂	—	8	2	no	—
1113	C₂	—	8	2	no	—
1114	C₂	C₁₉×#3484	1	1	yes	characteristic
1115	C₂	C₁₉×#3585	1	1	yes	characteristic
1116	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×#3546	C₂	semidirect
2. C₁₉×#3497	C₂	semidirect
3. C₁₉×#3320	C₂	semidirect
4. C₁₉×#3313	C₂	semidirect
5. C₁₉×#3309	C₂	semidirect
6. C₁₉×#3308	C₂	semidirect
7. C₁₉×#3271	C₂	semidirect
8. C₁₉×#3268	C₂	semidirect
9. C₁₉×#3266	C₂	semidirect
10. C₁₉×#3265	C₂	semidirect
11. C₁₉×#3219	C₂	semidirect
12. C₁₉×#3214	C₂	semidirect
13. C₁₉×#3203	C₂	semidirect
14. C₁₉×#3198	C₂	semidirect
15. C₁₉×#3117	C₂	semidirect
16. C₁₉×#3112	C₂	semidirect
17. C₁₉×#3013	C₂	semidirect
18. C₁₉×#3010	C₂	semidirect
19. C₁₉×#2980	C₂	semidirect
20. C₂×C₁₉×2₋¹⁺⁴	C₂²	semidirect
21. C₂×C₁₉×#137	C₂²	semidirect
23. C₂×C₁₉×#135	C₂²	semidirect
31. C₁₉×#550	C₂²	semidirect
33. D₄×Q₈×C₁₉	C₂²	semidirect
36. C₁₉×#548	C₂²	semidirect
46. C₁₉×#537	C₂²	semidirect
52. C₁₉×#532	C₂²	semidirect
54. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
58. C₁₉×#491	C₂²	semidirect
59. C₁₉×#490	C₂²	semidirect
60. C₁₉×#489	C₂²	semidirect
61. C₁₉×#485	C₂²	semidirect
62. C₁₉×#484	C₂²	semidirect
63. C₁₉×#484	C₂²	semidirect
64. C₁₉×#482	C₂²	semidirect
66. C₁₉×#480	C₂²	semidirect
67. C₁₉×#480	C₂²	semidirect
68. C₁₉×#479	C₂²	semidirect
69. C₁₉×#477	C₂²	semidirect
70. C₁₉×#469	C₂²	semidirect
73. C₁₉×#468	C₂²	semidirect
74. C₁₉×#467	C₂²	semidirect
77. C₁₉×#465	C₂²	semidirect
79. C₁₉×#464	C₂²	semidirect
81. C₁₉×#461	C₂²	semidirect
83. C₁₉×#459	C₂²	semidirect
84. C₁₉×#452	C₂²	semidirect
85. C₁₉×#452	C₂²	semidirect
86. C₁₉×#452	C₂²	semidirect
87. C₁₉×#451	C₂²	semidirect
88. C₁₉×#451	C₂²	semidirect
93. C₁₉×#449	C₂²	semidirect
94. C₁₉×#449	C₂²	semidirect
95. C₁₉×#449	C₂²	semidirect
96. C₁₉×#449	C₂²	semidirect
100. C₁₉×#448	C₂²	semidirect
101. C₁₉×#448	C₂²	semidirect
103. C₁₉×#441	C₂²	semidirect
105. C₁₉×#440	C₂²	semidirect
106. C₁₉×#440	C₂²	semidirect
108. C₁₉×#435	C₂²	semidirect
109. C₁₉×#435	C₂²	semidirect
110. C₁₉×#435	C₂²	semidirect
111. C₁₉×#432	C₂²	semidirect
112. C₁₉×#432	C₂²	semidirect
113. C₁₉×#419	C₂²	semidirect
114. C₁₉×#417	C₂²	semidirect
115. C₁₉×#416	C₂²	semidirect
116. C₂×C₁₉×#103	C₂²	semidirect
117. C₁₉×#408	C₂²	semidirect
118. C₁₉×#408	C₂²	semidirect
431. #61671	C₁₉	direct (N × H)
515. #3546	C₂×C₁₉	semidirect
516. #3497	C₂×C₁₉	semidirect
517. #3320	C₂×C₁₉	semidirect
518. #3313	C₂×C₁₉	semidirect
519. #3309	C₂×C₁₉	semidirect
520. #3308	C₂×C₁₉	semidirect
521. #3271	C₂×C₁₉	semidirect
522. #3268	C₂×C₁₉	semidirect
523. #3266	C₂×C₁₉	semidirect
524. #3265	C₂×C₁₉	semidirect
525. #3219	C₂×C₁₉	semidirect
526. #3214	C₂×C₁₉	semidirect
527. #3203	C₂×C₁₉	semidirect
528. #3198	C₂×C₁₉	semidirect
529. #3117	C₂×C₁₉	semidirect
530. #3112	C₂×C₁₉	semidirect
531. #3013	C₂×C₁₉	semidirect
532. #3010	C₂×C₁₉	semidirect
533. #2980	C₂×C₁₉	semidirect
569. C₂×2₋¹⁺⁴	C₂²×C₁₉	semidirect
570. C₂×#137	C₂²×C₁₉	semidirect
572. C₂×#135	C₂²×C₁₉	semidirect
580. #550	C₂²×C₁₉	semidirect
582. D₄×Q₈	C₂²×C₁₉	semidirect
585. #548	C₂²×C₁₉	semidirect
595. #537	C₂²×C₁₉	semidirect
601. #532	C₂²×C₁₉	semidirect
603. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
607. #491	C₂²×C₁₉	semidirect
608. #490	C₂²×C₁₉	semidirect
609. #489	C₂²×C₁₉	semidirect
610. #485	C₂²×C₁₉	semidirect
611. #484	C₂²×C₁₉	semidirect
612. #484	C₂²×C₁₉	semidirect
613. #482	C₂²×C₁₉	semidirect
615. #480	C₂²×C₁₉	semidirect
616. #480	C₂²×C₁₉	semidirect
617. #479	C₂²×C₁₉	semidirect
618. #477	C₂²×C₁₉	semidirect
619. #469	C₂²×C₁₉	semidirect
622. #468	C₂²×C₁₉	semidirect
623. #467	C₂²×C₁₉	semidirect
626. #465	C₂²×C₁₉	semidirect
628. #464	C₂²×C₁₉	semidirect
630. #461	C₂²×C₁₉	semidirect
632. #459	C₂²×C₁₉	semidirect
633. #452	C₂²×C₁₉	semidirect
634. #452	C₂²×C₁₉	semidirect
635. #452	C₂²×C₁₉	semidirect
636. #451	C₂²×C₁₉	semidirect
637. #451	C₂²×C₁₉	semidirect
642. #449	C₂²×C₁₉	semidirect
643. #449	C₂²×C₁₉	semidirect
644. #449	C₂²×C₁₉	semidirect
645. #449	C₂²×C₁₉	semidirect
649. #448	C₂²×C₁₉	semidirect
650. #448	C₂²×C₁₉	semidirect
652. #441	C₂²×C₁₉	semidirect
654. #440	C₂²×C₁₉	semidirect
655. #440	C₂²×C₁₉	semidirect
657. #435	C₂²×C₁₉	semidirect
658. #435	C₂²×C₁₉	semidirect
659. #435	C₂²×C₁₉	semidirect
660. #432	C₂²×C₁₉	semidirect
661. #432	C₂²×C₁₉	semidirect
662. #419	C₂²×C₁₉	semidirect
663. #417	C₂²×C₁₉	semidirect
664. #416	C₂²×C₁₉	semidirect
665. C₂×#103	C₂²×C₁₉	semidirect
666. #408	C₂²×C₁₉	semidirect
667. #408	C₂²×C₁₉	semidirect
844. C₁₉	#61671	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×#3546	2
C₁₉×#3497	2
C₁₉×#3320	2
C₁₉×#3313	2
C₁₉×#3309	2
C₁₉×#3308	2
C₁₉×#3271	2
C₁₉×#3268	2
C₁₉×#3266	2
C₁₉×#3265	2
C₁₉×#3219	2
C₁₉×#3214	2
C₁₉×#3203	2
C₁₉×#3198	2
C₁₉×#3117	2
C₁₉×#3112	2
C₁₉×#3013	2
C₁₉×#3010	2
C₁₉×#2980	2
#61671	19

Subgroups — C19×#61671 #18067630

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#61671 #18067630