Subgroups — C₁₉×#62862 #18068821

Order 4864.

7498 conjugacy classes of subgroups.

The subgroup lattice has 870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3545	C₂	1	4	yes	maximal, complemented
2	C₁₉×#3543	C₂	1	4	yes	maximal, complemented
3	C₁₉×#3542	C₂	1	16	yes	maximal, complemented
4	C₁₉×#3534	C₂	1	8	yes	maximal, complemented
5	C₁₉×#3533	C₂	1	8	yes	maximal, complemented
6	C₁₉×#3532	C₂	1	8	yes	maximal, complemented
7	C₁₉×#3491	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3490	C₂	1	4	yes	maximal, complemented
9	C₁₉×#3485	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3484	C₂	1	4	yes	maximal, complemented
11	C₂×C₁₉×#535	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₉×#534	C₂	1	2	yes	maximal, complemented
13	C₂×C₁₉×H(5,𝔽₂)	C₂²	1	2	yes	complemented
14	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
15	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
16	C₂³×D₄×C₁₉	C₂²	1	2	yes	complemented
17	C₁₉×#563	C₂²	1	4	yes	complemented
18	C₁₉×#562	C₂²	1	16	yes	complemented
19	C₁₉×#562	C₂²	1	8	yes	complemented
20	C₁₉×H(3,𝔽₄)	C₂²	1	4	yes	complemented
21	C₁₉×#560	C₂²	1	8	yes	complemented
22	C₁₉×#560	C₂²	1	16	yes	complemented
23	C₁₉×#560	C₂²	1	8	yes	complemented
24	C₁₉×#559	C₂²	1	4	yes	complemented
25	C₁₉×#555	C₂²	1	8	yes	complemented
26	C₁₉×#553	C₂²	1	16	yes	complemented
27	C₁₉×#552	C₂²	1	16	yes	complemented
28	C₁₉×#551	C₂²	1	16	yes	complemented
29	C₁₉×#551	C₂²	1	16	yes	complemented
30	C₁₉×#551	C₂²	1	8	yes	complemented
31	C₁₉×#551	C₂²	1	16	yes	complemented
32	C₁₉×#550	C₂²	1	8	yes	complemented
33	C₁₉×#547	C₂²	1	16	yes	complemented
34	C₁₉×#546	C₂²	1	16	yes	complemented
35	C₁₉×#546	C₂²	1	16	yes	complemented
36	C₁₉×#546	C₂²	1	16	yes	complemented
37	C₁₉×#546	C₂²	1	16	yes	complemented
38	C₁₉×#546	C₂²	1	16	yes	complemented
39	C₁₉×#546	C₂²	1	16	yes	complemented
40	D₄²×C₁₉	C₂²	1	16	yes	complemented
41	D₄²×C₁₉	C₂²	1	4	yes	complemented
42	D₄²×C₁₉	C₂²	1	16	yes	complemented
43	C₁₉×#543	C₂²	1	2	yes	complemented
44	C₁₉×#542	C₂²	1	16	yes	complemented
45	C₁₉×#540	C₂²	1	16	yes	complemented
46	C₁₉×#540	C₂²	1	16	yes	complemented
47	C₁₉×#539	C₂²	1	8	yes	complemented
48	C₁₉×#539	C₂²	1	8	yes	complemented
49	C₁₉×#538	C₂²	1	16	yes	complemented
50	C₁₉×#538	C₂²	1	16	yes	complemented
51	C₁₉×#538	C₂²	1	16	yes	complemented
52	C₁₉×#538	C₂²	1	8	yes	complemented
53	C₁₉×#537	C₂²	1	8	yes	complemented
54	C₁₉×#536	C₂²	1	4	yes	complemented
55	C₁₉×#535	C₂²	1	8	yes	complemented
56	C₁₉×#535	C₂²	1	8	yes	complemented
57	C₁₉×#535	C₂²	1	8	yes	complemented
58	C₁₉×#535	C₂²	1	16	yes	complemented
59	C₁₉×#534	C₂²	1	2	yes	—
60	C₁₉×#534	C₂²	1	8	yes	complemented
61	C₁₉×#534	C₂²	1	8	yes	complemented
62	C₁₉×#534	C₂²	1	4	yes	complemented
63	C₁₉×#534	C₂²	1	8	yes	complemented
64	C₁₉×#534	C₂²	1	8	yes	complemented
65	C₁₉×#534	C₂²	1	8	yes	complemented
66	C₁₉×#534	C₂²	1	8	yes	complemented
67	C₁₉×#534	C₂²	1	4	yes	complemented
68	C₂×C₁₉×#127	C₂²	1	2	yes	complemented
69	C₁₉×#529	C₂²	1	8	yes	complemented
70	C₂×C₁₉×#124	C₂²	1	2	yes	complemented
71	C₁₉×#525	C₂²	1	16	yes	complemented
72	C₁₉×#525	C₂²	1	8	yes	complemented
73	C₁₉×#525	C₂²	1	4	yes	complemented
74	C₂×C₁₉×#123	C₂²	1	4	yes	complemented
75	C₂×C₁₉×#123	C₂²	1	4	yes	complemented
76	C₂×C₁₉×#123	C₂²	1	4	yes	complemented
77	C₂×C₁₉×#121	C₂²	1	8	yes	complemented
78	C₂×C₁₉×#121	C₂²	1	4	yes	complemented
79	C₂×C₁₉×#120	C₂²	1	4	yes	complemented
80	C₂×C₁₉×#120	C₂²	1	4	yes	complemented
81	C₂×C₁₉×#120	C₂²	1	4	yes	complemented
82	C₂×C₁₉×#120	C₂²	1	8	yes	complemented
83	C₁₉×#518	C₂²	1	4	yes	complemented
84	C₁₉×#518	C₂²	1	2	yes	complemented
85	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
86	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	complemented
87	C₂⁵×C₁₉	C₂³	1	2	yes	—
88	C₂⁵×C₁₉	C₂³	1	2	yes	complemented
89	C₁₉×H(5,𝔽₂)	—	4	8	no	—
90	C₂×#41×C₁₉	—	4	4	no	—
91	C₂×#41×C₁₉	C₂³	1	8	yes	—
92	C₂×#41×C₁₉	C₂³	1	4	yes	—
93	C₂×#41×C₁₉	C₂³	1	8	yes	complemented
94	C₂×#41×C₁₉	C₂³	1	16	yes	complemented
95	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic, complemented
96	C₂²×D₄×C₁₉	—	4	4	no	—
97	C₂²×D₄×C₁₉	—	4	8	no	—
98	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
99	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
100	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
101	C₂²×D₄×C₁₉	C₂³	1	8	yes	—
102	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
103	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
104	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
105	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
106	C₂²×D₄×C₁₉	C₂³	1	8	yes	—
107	C₂²×D₄×C₁₉	C₂³	1	8	yes	—
108	C₂²×D₄×C₁₉	C₂³	1	4	yes	complemented
109	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
110	C₂²×D₄×C₁₉	C₂³	1	8	yes	complemented
111	C₂²×D₄×C₁₉	C₂³	1	8	yes	complemented
112	C₂²×D₄×C₁₉	C₂³	1	16	yes	complemented
113	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
114	C₂³×C₄×C₁₉	C₂³	1	2	yes	complemented
115	C₂³×C₄×C₁₉	C₂³	1	2	yes	complemented
116	C₂³×C₄×C₁₉	C₂³	1	4	yes	complemented
117	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	complemented
118	C₁₉×#127	C₂³	1	4	yes	—
119	C₁₉×#127	C₂³	1	8	yes	complemented
120	C₁₉×#127	C₂³	1	4	yes	complemented
121	C₁₉×#127	C₂³	1	16	yes	complemented
122	C₁₉×#126	C₂³	1	16	yes	complemented
123	C₁₉×#126	C₂³	1	16	yes	complemented
124	C₁₉×#126	C₂³	1	16	yes	complemented
125	C₁₉×#126	C₂³	1	16	yes	complemented
126	C₁₉×#125	C₂³	1	8	yes	complemented
127	C₁₉×#125	C₂³	1	16	yes	complemented
128	C₁₉×#124	C₂³	1	4	yes	—
129	C₁₉×#124	C₂³	1	8	yes	complemented
130	C₁₉×#124	C₂³	1	4	yes	complemented
131	C₁₉×#124	C₂³	1	8	yes	complemented
132	C₁₉×#124	C₂³	1	16	yes	complemented
133	C₁₉×#124	C₂³	1	16	yes	complemented
134	C₁₉×#124	C₂³	1	8	yes	complemented
135	C₁₉×#124	C₂³	1	16	yes	complemented
136	C₁₉×#123	C₂³	1	8	yes	—
137	C₁₉×#123	C₂³	1	16	yes	—
138	C₁₉×#123	C₂³	1	8	yes	—
139	C₁₉×#123	C₂³	1	8	yes	—
140	C₁₉×#123	C₂³	1	8	yes	complemented
141	C₁₉×#123	C₂³	1	8	yes	complemented
142	C₁₉×#123	C₂³	1	8	yes	complemented
143	C₁₉×#123	C₂³	1	8	yes	complemented
144	C₁₉×#123	C₂³	1	8	yes	complemented
145	C₁₉×#123	C₂³	1	16	yes	complemented
146	C₁₉×#123	C₂³	1	8	yes	complemented
147	C₁₉×#123	C₂³	1	16	yes	complemented
148	C₁₉×#123	C₂³	1	16	yes	complemented
149	C₁₉×#123	C₂³	1	16	yes	complemented
150	C₁₉×#123	C₂³	1	16	yes	complemented
151	C₁₉×#123	C₂³	1	8	yes	complemented
152	C₁₉×#123	C₂³	1	16	yes	complemented
153	C₁₉×#123	C₂³	1	16	yes	complemented
154	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	complemented
155	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	complemented
156	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	complemented
157	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	complemented
158	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	complemented
159	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	complemented
160	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	complemented
161	C₁₉×#121	C₂³	1	16	yes	—
162	C₁₉×#121	C₂³	1	16	yes	—
163	C₁₉×#121	C₂³	1	8	yes	—
164	C₁₉×#121	C₂³	1	16	yes	—
165	C₁₉×#121	C₂³	1	8	yes	—
166	C₁₉×#121	C₂³	1	16	yes	complemented
167	C₁₉×#121	C₂³	1	16	yes	complemented
168	C₁₉×#121	C₂³	1	8	yes	complemented
169	C₁₉×#121	C₂³	1	16	yes	complemented
170	C₁₉×#121	C₂³	1	8	yes	complemented
171	C₁₉×#121	C₂³	1	16	yes	complemented
172	C₁₉×#121	C₂³	1	16	yes	complemented
173	C₁₉×#121	C₂³	1	16	yes	complemented
174	C₁₉×#121	C₂³	1	16	yes	complemented
175	C₁₉×#121	C₂³	1	16	yes	complemented
176	C₁₉×#121	C₂³	1	16	yes	complemented
177	C₁₉×#121	C₂³	1	16	yes	complemented
178	C₁₉×#121	C₂³	1	16	yes	complemented
179	C₁₉×#121	C₂³	1	16	yes	complemented
180	C₁₉×#120	C₂³	1	8	yes	—
181	C₁₉×#120	C₂³	1	8	yes	—
182	C₁₉×#120	C₂³	1	8	yes	—
183	C₁₉×#120	C₂³	1	8	yes	—
184	C₁₉×#120	C₂³	1	16	yes	—
185	C₁₉×#120	C₂³	1	8	yes	—
186	C₁₉×#120	C₂³	1	16	yes	—
187	C₁₉×#120	C₂³	1	8	yes	complemented
188	C₁₉×#120	C₂³	1	8	yes	complemented
189	C₁₉×#120	C₂³	1	8	yes	complemented
190	C₁₉×#120	C₂³	1	8	yes	complemented
191	C₁₉×#120	C₂³	1	8	yes	complemented
192	C₁₉×#120	C₂³	1	16	yes	complemented
193	C₁₉×#120	C₂³	1	16	yes	complemented
194	C₁₉×#120	C₂³	1	8	yes	complemented
195	C₁₉×#120	C₂³	1	8	yes	complemented
196	C₁₉×#120	C₂³	1	16	yes	complemented
197	C₄×Q₈×C₁₉	C₂³	1	8	yes	complemented
198	C₄×D₄×C₁₉	C₂³	1	16	yes	—
199	C₄×D₄×C₁₉	C₂³	1	16	yes	complemented
200	C₄×D₄×C₁₉	C₂³	1	16	yes	complemented
201	C₄×D₄×C₁₉	C₂³	1	16	yes	complemented
202	C₄×D₄×C₁₉	C₂³	1	16	yes	complemented
203	C₄×D₄×C₁₉	C₂³	1	16	yes	complemented
204	C₄×D₄×C₁₉	C₂³	1	16	yes	complemented
205	C₄×D₄×C₁₉	C₂³	1	16	yes	complemented
206	C₄×D₄×C₁₉	C₂³	1	8	yes	complemented
207	C₁₉×#117	C₂³	1	8	yes	complemented
208	C₁₉×#117	C₂³	1	8	yes	complemented
209	C₁₉×#117	C₂³	1	4	yes	complemented
210	C₁₉×#117	C₂³	1	16	yes	complemented
211	C₁₉×#117	C₂³	1	16	yes	complemented
212	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	complemented
213	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	complemented
214	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	complemented
215	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
216	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
217	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
219	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	complemented
220	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	complemented
221	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	complemented
222	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	complemented
223	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	complemented
224	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	complemented
225	C₂×C₂²⋊C₄×C₁₉	C₂³	1	16	yes	complemented
226	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	complemented
227	C₂×C₄²×C₁₉	C₂³	1	2	yes	complemented
228	C₂⁴×C₁₉	—	2	8	no	—
229	C₂⁴×C₁₉	—	4	4	no	—
230	C₂⁴×C₁₉	—	8	4	no	—
231	C₂⁴×C₁₉	—	8	4	no	—
232	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
233	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
234	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
235	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
236	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
237	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
238	C₂⁴×C₁₉	C₂⁴	1	8	yes	—
239	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
240	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
241	#41×C₁₉	—	4	16	no	—
242	#41×C₁₉	—	4	16	no	—
243	#41×C₁₉	—	4	8	no	—
244	#41×C₁₉	—	8	16	no	—
245	C₂×Q₈×C₁₉	—	4	2	no	—
246	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
247	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
248	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
249	C₂×D₄×C₁₉	—	2	16	no	—
250	C₂×D₄×C₁₉	—	2	8	no	—
251	C₂×D₄×C₁₉	—	4	4	no	—
252	C₂×D₄×C₁₉	—	4	4	no	—
253	C₂×D₄×C₁₉	—	4	8	no	—
254	C₂×D₄×C₁₉	—	4	8	no	—
255	C₂×D₄×C₁₉	—	4	8	no	—
256	C₂×D₄×C₁₉	—	4	2	no	—
257	C₂×D₄×C₁₉	—	4	16	no	—
258	C₂×D₄×C₁₉	—	4	16	no	—
259	C₂×D₄×C₁₉	—	4	8	no	—
260	C₂×D₄×C₁₉	—	4	16	no	—
261	C₂×D₄×C₁₉	—	8	8	no	—
262	C₂×D₄×C₁₉	—	8	8	no	—
263	C₂×D₄×C₁₉	—	8	16	no	—
264	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
265	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
266	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
267	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
268	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
269	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
270	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
271	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
272	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
273	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
274	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
275	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
276	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
277	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
278	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
279	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
280	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
281	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
282	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₉	—	2	4	no	—
284	C₂²×C₄×C₁₉	—	4	4	no	—
285	C₂²×C₄×C₁₉	—	4	4	no	—
286	C₂²×C₄×C₁₉	—	8	4	no	—
287	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
289	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
290	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
291	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
293	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
294	C₂²×C₄×C₁₉	C₂⁴	1	16	yes	—
295	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
296	C₂²×C₄×C₁₉	C₂⁴	1	16	yes	—
297	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
298	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
299	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
300	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
301	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
302	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
303	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
304	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
305	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
306	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
307	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
308	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
309	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
310	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
311	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
312	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
313	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
314	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
315	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
316	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
317	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
318	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
319	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
320	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
321	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
322	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
323	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
324	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
325	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
326	C₄²×C₁₉	C₂⁴	1	4	yes	—
327	C₄²×C₁₉	C₂⁴	1	4	yes	—
328	C₄²×C₁₉	C₂⁴	1	16	yes	—
329	C₄²×C₁₉	C₂⁴	1	8	yes	—
330	#62862	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
331	C₂³×C₁₉	—	2	4	no	—
332	C₂³×C₁₉	—	2	4	no	—
333	C₂³×C₁₉	—	2	4	no	—
334	C₂³×C₁₉	—	2	8	no	—
335	C₂³×C₁₉	—	2	8	no	—
336	C₂³×C₁₉	—	2	8	no	—
337	C₂³×C₁₉	—	4	4	no	—
338	C₂³×C₁₉	—	4	2	no	—
339	C₂³×C₁₉	—	4	4	no	—
340	C₂³×C₁₉	—	4	8	no	—
341	C₂³×C₁₉	—	4	4	no	—
342	C₂³×C₁₉	—	4	8	no	—
343	C₂³×C₁₉	—	4	8	no	—
344	C₂³×C₁₉	—	4	8	no	—
345	C₂³×C₁₉	—	4	16	no	—
346	C₂³×C₁₉	—	4	4	no	—
347	C₂³×C₁₉	—	4	8	no	—
348	C₂³×C₁₉	—	8	16	no	—
349	C₂³×C₁₉	—	8	16	no	—
350	C₂³×C₁₉	H(5,𝔽₂)	1	4	yes	—
351	C₂³×C₁₉	C₂⁵	1	4	yes	—
352	C₂³×C₁₉	C₂⁵	1	8	yes	—
353	C₂³×C₁₉	C₂⁵	1	4	yes	—
354	C₂³×C₁₉	C₂⁵	1	4	yes	—
355	C₂³×C₁₉	C₂⁵	1	2	yes	—
356	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
357	Q₈×C₁₉	—	4	4	no	—
358	Q₈×C₁₉	—	4	4	no	—
359	Q₈×C₁₉	—	4	8	no	—
360	D₄×C₁₉	—	2	16	no	—
361	D₄×C₁₉	—	2	16	no	—
362	D₄×C₁₉	—	2	16	no	—
363	D₄×C₁₉	—	4	2	no	—
364	D₄×C₁₉	—	4	4	no	—
365	D₄×C₁₉	—	4	2	no	—
366	D₄×C₁₉	—	4	2	no	—
367	D₄×C₁₉	—	4	4	no	—
368	D₄×C₁₉	—	4	2	no	—
369	D₄×C₁₉	—	4	16	no	—
370	D₄×C₁₉	—	4	8	no	—
371	D₄×C₁₉	—	4	4	no	—
372	D₄×C₁₉	—	4	4	no	—
373	D₄×C₁₉	—	4	16	no	—
374	D₄×C₁₉	—	4	16	no	—
375	D₄×C₁₉	—	4	8	no	—
376	D₄×C₁₉	—	4	16	no	—
377	D₄×C₁₉	—	4	16	no	—
378	D₄×C₁₉	—	4	16	no	—
379	C₂×C₄×C₁₉	—	2	2	no	—
380	C₂×C₄×C₁₉	—	2	2	no	—
381	C₂×C₄×C₁₉	—	2	8	no	—
382	C₂×C₄×C₁₉	—	2	8	no	—
383	C₂×C₄×C₁₉	—	2	4	no	—
384	C₂×C₄×C₁₉	—	4	8	no	—
385	C₂×C₄×C₁₉	—	4	8	no	—
386	C₂×C₄×C₁₉	—	4	8	no	—
387	C₂×C₄×C₁₉	—	4	16	no	—
388	C₂×C₄×C₁₉	—	4	4	no	—
389	C₂×C₄×C₁₉	—	4	8	no	—
390	C₂×C₄×C₁₉	—	4	4	no	—
391	C₂×C₄×C₁₉	—	4	16	no	—
392	C₂×C₄×C₁₉	—	4	8	no	—
393	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
394	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
395	C₂×C₄×C₁₉	C₂⁵	1	16	yes	—
396	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
397	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
398	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
399	#3545	C₂×C₁₉	1	4	yes	complemented
400	#3543	C₂×C₁₉	1	4	yes	complemented
401	#3542	C₂×C₁₉	1	16	yes	complemented
402	#3534	C₂×C₁₉	1	8	yes	complemented
403	#3533	C₂×C₁₉	1	8	yes	complemented
404	#3532	C₂×C₁₉	1	8	yes	complemented
405	#3491	C₂×C₁₉	1	2	yes	complemented
406	#3490	C₂×C₁₉	1	4	yes	complemented
407	#3485	C₂×C₁₉	1	2	yes	complemented
408	#3484	C₂×C₁₉	1	4	yes	complemented
409	C₂×#535	C₂×C₁₉	1	1	yes	characteristic, complemented
410	C₂×#534	C₂×C₁₉	1	2	yes	complemented
411	C₂²×C₁₉	—	2	4	no	—
412	C₂²×C₁₉	—	2	2	no	—
413	C₂²×C₁₉	—	2	4	no	—
414	C₂²×C₁₉	—	2	4	no	—
415	C₂²×C₁₉	—	2	8	no	—
416	C₂²×C₁₉	—	2	4	no	—
417	C₂²×C₁₉	—	2	8	no	—
418	C₂²×C₁₉	—	2	8	no	—
419	C₂²×C₁₉	—	2	16	no	—
420	C₂²×C₁₉	—	2	8	no	—
421	C₂²×C₁₉	—	4	4	no	—
422	C₂²×C₁₉	—	4	8	no	—
423	C₂²×C₁₉	—	4	8	no	—
424	C₂²×C₁₉	—	8	4	no	—
425	C₂²×C₁₉	—	8	8	no	—
426	C₂²×C₁₉	—	8	8	no	—
427	C₂²×C₁₉	—	8	8	no	—
428	C₂²×C₁₉	—	8	16	no	—
429	C₂²×C₁₉	—	16	4	no	—
430	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	4	yes	—
431	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
432	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
433	C₄×C₁₉	—	2	2	no	—
434	C₄×C₁₉	—	2	2	no	—
435	C₄×C₁₉	—	2	8	no	—
436	C₄×C₁₉	—	2	4	no	—
437	C₄×C₁₉	—	2	16	no	—
438	C₄×C₁₉	—	2	8	no	—
439	C₂×H(5,𝔽₂)	C₂²×C₁₉	1	2	yes	complemented
440	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic, complemented
441	C₂³×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
442	C₂³×D₄	C₂²×C₁₉	1	2	yes	complemented
443	#563	C₂²×C₁₉	1	4	yes	complemented
444	#562	C₂²×C₁₉	1	16	yes	complemented
445	#562	C₂²×C₁₉	1	8	yes	complemented
446	H(3,𝔽₄)	C₂²×C₁₉	1	4	yes	complemented
447	#560	C₂²×C₁₉	1	8	yes	complemented
448	#560	C₂²×C₁₉	1	16	yes	complemented
449	#560	C₂²×C₁₉	1	8	yes	complemented
450	#559	C₂²×C₁₉	1	4	yes	complemented
451	#555	C₂²×C₁₉	1	8	yes	complemented
452	#553	C₂²×C₁₉	1	16	yes	complemented
453	#552	C₂²×C₁₉	1	16	yes	complemented
454	#551	C₂²×C₁₉	1	16	yes	complemented
455	#551	C₂²×C₁₉	1	16	yes	complemented
456	#551	C₂²×C₁₉	1	8	yes	complemented
457	#551	C₂²×C₁₉	1	16	yes	complemented
458	#550	C₂²×C₁₉	1	8	yes	complemented
459	#547	C₂²×C₁₉	1	16	yes	complemented
460	#546	C₂²×C₁₉	1	16	yes	complemented
461	#546	C₂²×C₁₉	1	16	yes	complemented
462	#546	C₂²×C₁₉	1	16	yes	complemented
463	#546	C₂²×C₁₉	1	16	yes	complemented
464	#546	C₂²×C₁₉	1	16	yes	complemented
465	#546	C₂²×C₁₉	1	16	yes	complemented
466	D₄²	C₂²×C₁₉	1	16	yes	complemented
467	D₄²	C₂²×C₁₉	1	4	yes	complemented
468	D₄²	C₂²×C₁₉	1	16	yes	complemented
469	#543	C₂²×C₁₉	1	2	yes	complemented
470	#542	C₂²×C₁₉	1	16	yes	complemented
471	#540	C₂²×C₁₉	1	16	yes	complemented
472	#540	C₂²×C₁₉	1	16	yes	complemented
473	#539	C₂²×C₁₉	1	8	yes	complemented
474	#539	C₂²×C₁₉	1	8	yes	complemented
475	#538	C₂²×C₁₉	1	16	yes	complemented
476	#538	C₂²×C₁₉	1	16	yes	complemented
477	#538	C₂²×C₁₉	1	16	yes	complemented
478	#538	C₂²×C₁₉	1	8	yes	complemented
479	#537	C₂²×C₁₉	1	8	yes	complemented
480	#536	C₂²×C₁₉	1	4	yes	complemented
481	#535	C₂²×C₁₉	1	8	yes	complemented
482	#535	C₂²×C₁₉	1	8	yes	complemented
483	#535	C₂²×C₁₉	1	8	yes	complemented
484	#535	C₂²×C₁₉	1	16	yes	complemented
485	#534	C₂²×C₁₉	1	2	yes	—
486	#534	C₂²×C₁₉	1	8	yes	complemented
487	#534	C₂²×C₁₉	1	8	yes	complemented
488	#534	C₂²×C₁₉	1	4	yes	complemented
489	#534	C₂²×C₁₉	1	8	yes	complemented
490	#534	C₂²×C₁₉	1	8	yes	complemented
491	#534	C₂²×C₁₉	1	8	yes	complemented
492	#534	C₂²×C₁₉	1	8	yes	complemented
493	#534	C₂²×C₁₉	1	4	yes	complemented
494	C₂×#127	C₂²×C₁₉	1	2	yes	complemented
495	#529	C₂²×C₁₉	1	8	yes	complemented
496	C₂×#124	C₂²×C₁₉	1	2	yes	complemented
497	#525	C₂²×C₁₉	1	16	yes	complemented
498	#525	C₂²×C₁₉	1	8	yes	complemented
499	#525	C₂²×C₁₉	1	4	yes	complemented
500	C₂×#123	C₂²×C₁₉	1	4	yes	complemented
501	C₂×#123	C₂²×C₁₉	1	4	yes	complemented
502	C₂×#123	C₂²×C₁₉	1	4	yes	complemented
503	C₂×#121	C₂²×C₁₉	1	8	yes	complemented
504	C₂×#121	C₂²×C₁₉	1	4	yes	complemented
505	C₂×#120	C₂²×C₁₉	1	4	yes	complemented
506	C₂×#120	C₂²×C₁₉	1	4	yes	complemented
507	C₂×#120	C₂²×C₁₉	1	4	yes	complemented
508	C₂×#120	C₂²×C₁₉	1	8	yes	complemented
509	#518	C₂²×C₁₉	1	4	yes	complemented
510	#518	C₂²×C₁₉	1	2	yes	complemented
511	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic, complemented
512	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	complemented
513	C₂×C₁₉	—	2	4	no	—
514	C₂×C₁₉	—	2	2	no	—
515	C₂×C₁₉	—	4	4	no	—
516	C₂×C₁₉	—	4	4	no	—
517	C₂×C₁₉	—	4	8	no	—
518	C₂×C₁₉	—	4	4	no	—
519	C₂×C₁₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
520	C₂×C₁₉	H(7,𝔽₂)	1	2	yes	—
521	C₂⁵	C₂³×C₁₉	1	2	yes	—
522	C₂⁵	C₂³×C₁₉	1	2	yes	complemented
523	H(5,𝔽₂)	—	4	8	no	—
524	C₂×#41	—	4	4	no	—
525	C₂×#41	C₂³×C₁₉	1	8	yes	—
526	C₂×#41	C₂³×C₁₉	1	4	yes	—
527	C₂×#41	C₂³×C₁₉	1	8	yes	complemented
528	C₂×#41	C₂³×C₁₉	1	16	yes	complemented
529	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic, complemented
530	C₂²×D₄	—	4	4	no	—
531	C₂²×D₄	—	4	8	no	—
532	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
533	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
534	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
535	C₂²×D₄	C₂³×C₁₉	1	8	yes	—
536	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
537	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
538	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
539	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
540	C₂²×D₄	C₂³×C₁₉	1	8	yes	—
541	C₂²×D₄	C₂³×C₁₉	1	8	yes	—
542	C₂²×D₄	C₂³×C₁₉	1	4	yes	complemented
543	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic, complemented
544	C₂²×D₄	C₂³×C₁₉	1	8	yes	complemented
545	C₂²×D₄	C₂³×C₁₉	1	8	yes	complemented
546	C₂²×D₄	C₂³×C₁₉	1	16	yes	complemented
547	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
548	C₂³×C₄	C₂³×C₁₉	1	2	yes	complemented
549	C₂³×C₄	C₂³×C₁₉	1	2	yes	complemented
550	C₂³×C₄	C₂³×C₁₉	1	4	yes	complemented
551	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	complemented
552	#127	C₂³×C₁₉	1	4	yes	—
553	#127	C₂³×C₁₉	1	8	yes	complemented
554	#127	C₂³×C₁₉	1	4	yes	complemented
555	#127	C₂³×C₁₉	1	16	yes	complemented
556	#126	C₂³×C₁₉	1	16	yes	complemented
557	#126	C₂³×C₁₉	1	16	yes	complemented
558	#126	C₂³×C₁₉	1	16	yes	complemented
559	#126	C₂³×C₁₉	1	16	yes	complemented
560	#125	C₂³×C₁₉	1	8	yes	complemented
561	#125	C₂³×C₁₉	1	16	yes	complemented
562	#124	C₂³×C₁₉	1	4	yes	—
563	#124	C₂³×C₁₉	1	8	yes	complemented
564	#124	C₂³×C₁₉	1	4	yes	complemented
565	#124	C₂³×C₁₉	1	8	yes	complemented
566	#124	C₂³×C₁₉	1	16	yes	complemented
567	#124	C₂³×C₁₉	1	16	yes	complemented
568	#124	C₂³×C₁₉	1	8	yes	complemented
569	#124	C₂³×C₁₉	1	16	yes	complemented
570	#123	C₂³×C₁₉	1	8	yes	—
571	#123	C₂³×C₁₉	1	16	yes	—
572	#123	C₂³×C₁₉	1	8	yes	—
573	#123	C₂³×C₁₉	1	8	yes	—
574	#123	C₂³×C₁₉	1	8	yes	complemented
575	#123	C₂³×C₁₉	1	8	yes	complemented
576	#123	C₂³×C₁₉	1	8	yes	complemented
577	#123	C₂³×C₁₉	1	8	yes	complemented
578	#123	C₂³×C₁₉	1	8	yes	complemented
579	#123	C₂³×C₁₉	1	16	yes	complemented
580	#123	C₂³×C₁₉	1	8	yes	complemented
581	#123	C₂³×C₁₉	1	16	yes	complemented
582	#123	C₂³×C₁₉	1	16	yes	complemented
583	#123	C₂³×C₁₉	1	16	yes	complemented
584	#123	C₂³×C₁₉	1	16	yes	complemented
585	#123	C₂³×C₁₉	1	8	yes	complemented
586	#123	C₂³×C₁₉	1	16	yes	complemented
587	#123	C₂³×C₁₉	1	16	yes	complemented
588	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	complemented
589	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	complemented
590	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	complemented
591	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	complemented
592	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	complemented
593	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	complemented
594	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	complemented
595	#121	C₂³×C₁₉	1	16	yes	—
596	#121	C₂³×C₁₉	1	16	yes	—
597	#121	C₂³×C₁₉	1	8	yes	—
598	#121	C₂³×C₁₉	1	16	yes	—
599	#121	C₂³×C₁₉	1	8	yes	—
600	#121	C₂³×C₁₉	1	16	yes	complemented
601	#121	C₂³×C₁₉	1	16	yes	complemented
602	#121	C₂³×C₁₉	1	8	yes	complemented
603	#121	C₂³×C₁₉	1	16	yes	complemented
604	#121	C₂³×C₁₉	1	8	yes	complemented
605	#121	C₂³×C₁₉	1	16	yes	complemented
606	#121	C₂³×C₁₉	1	16	yes	complemented
607	#121	C₂³×C₁₉	1	16	yes	complemented
608	#121	C₂³×C₁₉	1	16	yes	complemented
609	#121	C₂³×C₁₉	1	16	yes	complemented
610	#121	C₂³×C₁₉	1	16	yes	complemented
611	#121	C₂³×C₁₉	1	16	yes	complemented
612	#121	C₂³×C₁₉	1	16	yes	complemented
613	#121	C₂³×C₁₉	1	16	yes	complemented
614	#120	C₂³×C₁₉	1	8	yes	—
615	#120	C₂³×C₁₉	1	8	yes	—
616	#120	C₂³×C₁₉	1	8	yes	—
617	#120	C₂³×C₁₉	1	8	yes	—
618	#120	C₂³×C₁₉	1	16	yes	—
619	#120	C₂³×C₁₉	1	8	yes	—
620	#120	C₂³×C₁₉	1	16	yes	—
621	#120	C₂³×C₁₉	1	8	yes	complemented
622	#120	C₂³×C₁₉	1	8	yes	complemented
623	#120	C₂³×C₁₉	1	8	yes	complemented
624	#120	C₂³×C₁₉	1	8	yes	complemented
625	#120	C₂³×C₁₉	1	8	yes	complemented
626	#120	C₂³×C₁₉	1	16	yes	complemented
627	#120	C₂³×C₁₉	1	16	yes	complemented
628	#120	C₂³×C₁₉	1	8	yes	complemented
629	#120	C₂³×C₁₉	1	8	yes	complemented
630	#120	C₂³×C₁₉	1	16	yes	complemented
631	C₄×Q₈	C₂³×C₁₉	1	8	yes	complemented
632	C₄×D₄	C₂³×C₁₉	1	16	yes	—
633	C₄×D₄	C₂³×C₁₉	1	16	yes	complemented
634	C₄×D₄	C₂³×C₁₉	1	16	yes	complemented
635	C₄×D₄	C₂³×C₁₉	1	16	yes	complemented
636	C₄×D₄	C₂³×C₁₉	1	16	yes	complemented
637	C₄×D₄	C₂³×C₁₉	1	16	yes	complemented
638	C₄×D₄	C₂³×C₁₉	1	16	yes	complemented
639	C₄×D₄	C₂³×C₁₉	1	16	yes	complemented
640	C₄×D₄	C₂³×C₁₉	1	8	yes	complemented
641	#117	C₂³×C₁₉	1	8	yes	complemented
642	#117	C₂³×C₁₉	1	8	yes	complemented
643	#117	C₂³×C₁₉	1	4	yes	complemented
644	#117	C₂³×C₁₉	1	16	yes	complemented
645	#117	C₂³×C₁₉	1	16	yes	complemented
646	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	complemented
647	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	complemented
648	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	complemented
649	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
650	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
651	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	complemented
654	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	complemented
655	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	complemented
656	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	complemented
657	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	complemented
658	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	complemented
659	C₂×C₂²⋊C₄	C₂³×C₁₉	1	16	yes	complemented
660	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	complemented
661	C₂×C₄²	C₂³×C₁₉	1	2	yes	complemented
662	C₁₉	#62862	1	1	yes	characteristic, direct product factor, Sylow
663	C₂⁴	—	2	8	no	—
664	C₂⁴	—	4	4	no	—
665	C₂⁴	—	8	4	no	—
666	C₂⁴	—	8	4	no	—
667	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
668	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
669	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
670	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
671	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
672	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
673	C₂⁴	C₂⁴×C₁₉	1	8	yes	—
674	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
675	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
676	#41	—	4	16	no	—
677	#41	—	4	16	no	—
678	#41	—	4	8	no	—
679	#41	—	8	16	no	—
680	C₂×Q₈	—	4	2	no	—
681	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
682	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
683	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
684	C₂×D₄	—	2	16	no	—
685	C₂×D₄	—	2	8	no	—
686	C₂×D₄	—	4	4	no	—
687	C₂×D₄	—	4	4	no	—
688	C₂×D₄	—	4	8	no	—
689	C₂×D₄	—	4	8	no	—
690	C₂×D₄	—	4	8	no	—
691	C₂×D₄	—	4	2	no	—
692	C₂×D₄	—	4	16	no	—
693	C₂×D₄	—	4	16	no	—
694	C₂×D₄	—	4	8	no	—
695	C₂×D₄	—	4	16	no	—
696	C₂×D₄	—	8	8	no	—
697	C₂×D₄	—	8	8	no	—
698	C₂×D₄	—	8	16	no	—
699	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
700	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
701	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
702	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
703	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
704	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
705	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
706	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
707	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
708	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
709	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
710	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
711	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
712	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
713	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
714	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
715	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
716	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
717	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
718	C₂²×C₄	—	2	4	no	—
719	C₂²×C₄	—	4	4	no	—
720	C₂²×C₄	—	4	4	no	—
721	C₂²×C₄	—	8	4	no	—
722	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
723	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
724	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
725	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
726	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
727	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
728	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
729	C₂²×C₄	C₂⁴×C₁₉	1	16	yes	—
730	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
731	C₂²×C₄	C₂⁴×C₁₉	1	16	yes	—
732	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
733	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
734	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
735	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
736	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
737	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
738	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
739	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
740	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
741	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
742	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
743	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
744	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
745	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
746	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
747	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
748	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
749	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
750	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
751	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
752	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
753	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
754	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
755	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
756	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
757	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
758	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
759	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
760	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
761	C₄²	C₂⁴×C₁₉	1	4	yes	—
762	C₄²	C₂⁴×C₁₉	1	4	yes	—
763	C₄²	C₂⁴×C₁₉	1	16	yes	—
764	C₄²	C₂⁴×C₁₉	1	8	yes	—
765	C₂³	—	2	4	no	—
766	C₂³	—	2	4	no	—
767	C₂³	—	2	4	no	—
768	C₂³	—	2	8	no	—
769	C₂³	—	2	8	no	—
770	C₂³	—	2	8	no	—
771	C₂³	—	4	4	no	—
772	C₂³	—	4	2	no	—
773	C₂³	—	4	4	no	—
774	C₂³	—	4	8	no	—
775	C₂³	—	4	4	no	—
776	C₂³	—	4	8	no	—
777	C₂³	—	4	8	no	—
778	C₂³	—	4	8	no	—
779	C₂³	—	4	16	no	—
780	C₂³	—	4	4	no	—
781	C₂³	—	4	8	no	—
782	C₂³	—	8	16	no	—
783	C₂³	—	8	16	no	—
784	C₂³	C₁₉×H(5,𝔽₂)	1	4	yes	—
785	C₂³	C₂⁵×C₁₉	1	4	yes	—
786	C₂³	C₂⁵×C₁₉	1	8	yes	—
787	C₂³	C₂⁵×C₁₉	1	4	yes	—
788	C₂³	C₂⁵×C₁₉	1	4	yes	—
789	C₂³	C₂⁵×C₁₉	1	2	yes	—
790	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
791	Q₈	—	4	4	no	—
792	Q₈	—	4	4	no	—
793	Q₈	—	4	8	no	—
794	D₄	—	2	16	no	—
795	D₄	—	2	16	no	—
796	D₄	—	2	16	no	—
797	D₄	—	4	2	no	—
798	D₄	—	4	4	no	—
799	D₄	—	4	2	no	—
800	D₄	—	4	2	no	—
801	D₄	—	4	4	no	—
802	D₄	—	4	2	no	—
803	D₄	—	4	16	no	—
804	D₄	—	4	8	no	—
805	D₄	—	4	4	no	—
806	D₄	—	4	4	no	—
807	D₄	—	4	16	no	—
808	D₄	—	4	16	no	—
809	D₄	—	4	8	no	—
810	D₄	—	4	16	no	—
811	D₄	—	4	16	no	—
812	D₄	—	4	16	no	—
813	C₂×C₄	—	2	2	no	—
814	C₂×C₄	—	2	2	no	—
815	C₂×C₄	—	2	8	no	—
816	C₂×C₄	—	2	8	no	—
817	C₂×C₄	—	2	4	no	—
818	C₂×C₄	—	4	8	no	—
819	C₂×C₄	—	4	8	no	—
820	C₂×C₄	—	4	8	no	—
821	C₂×C₄	—	4	16	no	—
822	C₂×C₄	—	4	4	no	—
823	C₂×C₄	—	4	8	no	—
824	C₂×C₄	—	4	4	no	—
825	C₂×C₄	—	4	16	no	—
826	C₂×C₄	—	4	8	no	—
827	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
828	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
829	C₂×C₄	C₂⁵×C₁₉	1	16	yes	—
830	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
831	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
832	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
833	C₂²	—	2	4	no	—
834	C₂²	—	2	2	no	—
835	C₂²	—	2	4	no	—
836	C₂²	—	2	4	no	—
837	C₂²	—	2	8	no	—
838	C₂²	—	2	4	no	—
839	C₂²	—	2	8	no	—
840	C₂²	—	2	8	no	—
841	C₂²	—	2	16	no	—
842	C₂²	—	2	8	no	—
843	C₂²	—	4	4	no	—
844	C₂²	—	4	8	no	—
845	C₂²	—	4	8	no	—
846	C₂²	—	8	8	no	—
847	C₂²	—	8	8	no	—
848	C₂²	—	8	8	no	—
849	C₂²	—	8	4	no	—
850	C₂²	—	8	16	no	—
851	C₂²	—	16	4	no	—
852	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	4	yes	—
853	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
854	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
855	C₄	—	2	2	no	—
856	C₄	—	2	2	no	—
857	C₄	—	2	8	no	—
858	C₄	—	2	4	no	—
859	C₄	—	2	16	no	—
860	C₄	—	2	8	no	—
861	C₂	—	2	4	no	—
862	C₂	—	2	2	no	—
863	C₂	—	4	4	no	—
864	C₂	—	4	4	no	—
865	C₂	—	4	8	no	—
866	C₂	—	4	4	no	—
867	C₂	C₂²×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
868	C₂	C₁₉×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₉
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3545	C₂	semidirect
2. C₁₉×#3543	C₂	semidirect
3. C₁₉×#3542	C₂	semidirect
4. C₁₉×#3534	C₂	semidirect
5. C₁₉×#3533	C₂	semidirect
6. C₁₉×#3532	C₂	semidirect
7. C₁₉×#3491	C₂	semidirect
8. C₁₉×#3490	C₂	semidirect
9. C₁₉×#3485	C₂	semidirect
10. C₁₉×#3484	C₂	semidirect
11. C₂×C₁₉×#535	C₂	semidirect
12. C₂×C₁₉×#534	C₂	semidirect
13. C₂×C₁₉×H(5,𝔽₂)	C₂²	semidirect
14. C₂²×#41×C₁₉	C₂²	semidirect
15. C₂³×D₄×C₁₉	C₂²	semidirect
16. C₂³×D₄×C₁₉	C₂²	semidirect
17. C₁₉×#563	C₂²	semidirect
18. C₁₉×#562	C₂²	semidirect
19. C₁₉×#562	C₂²	semidirect
20. C₁₉×H(3,𝔽₄)	C₂²	semidirect
21. C₁₉×#560	C₂²	semidirect
22. C₁₉×#560	C₂²	semidirect
23. C₁₉×#560	C₂²	semidirect
24. C₁₉×#559	C₂²	semidirect
25. C₁₉×#555	C₂²	semidirect
26. C₁₉×#553	C₂²	semidirect
27. C₁₉×#552	C₂²	semidirect
28. C₁₉×#551	C₂²	semidirect
29. C₁₉×#551	C₂²	semidirect
30. C₁₉×#551	C₂²	semidirect
31. C₁₉×#551	C₂²	semidirect
32. C₁₉×#550	C₂²	semidirect
33. C₁₉×#547	C₂²	semidirect
34. C₁₉×#546	C₂²	semidirect
35. C₁₉×#546	C₂²	semidirect
36. C₁₉×#546	C₂²	semidirect
37. C₁₉×#546	C₂²	semidirect
38. C₁₉×#546	C₂²	semidirect
39. C₁₉×#546	C₂²	semidirect
40. D₄²×C₁₉	C₂²	semidirect
41. D₄²×C₁₉	C₂²	semidirect
42. D₄²×C₁₉	C₂²	semidirect
43. C₁₉×#543	C₂²	semidirect
44. C₁₉×#542	C₂²	semidirect
45. C₁₉×#540	C₂²	semidirect
46. C₁₉×#540	C₂²	semidirect
47. C₁₉×#539	C₂²	semidirect
48. C₁₉×#539	C₂²	semidirect
49. C₁₉×#538	C₂²	semidirect
50. C₁₉×#538	C₂²	semidirect
51. C₁₉×#538	C₂²	semidirect
52. C₁₉×#538	C₂²	semidirect
53. C₁₉×#537	C₂²	semidirect
54. C₁₉×#536	C₂²	semidirect
55. C₁₉×#535	C₂²	semidirect
56. C₁₉×#535	C₂²	semidirect
57. C₁₉×#535	C₂²	semidirect
58. C₁₉×#535	C₂²	semidirect
60. C₁₉×#534	C₂²	semidirect
61. C₁₉×#534	C₂²	semidirect
62. C₁₉×#534	C₂²	semidirect
63. C₁₉×#534	C₂²	semidirect
64. C₁₉×#534	C₂²	semidirect
65. C₁₉×#534	C₂²	semidirect
66. C₁₉×#534	C₂²	semidirect
67. C₁₉×#534	C₂²	semidirect
68. C₂×C₁₉×#127	C₂²	semidirect
69. C₁₉×#529	C₂²	semidirect
70. C₂×C₁₉×#124	C₂²	semidirect
71. C₁₉×#525	C₂²	semidirect
72. C₁₉×#525	C₂²	semidirect
73. C₁₉×#525	C₂²	semidirect
74. C₂×C₁₉×#123	C₂²	semidirect
75. C₂×C₁₉×#123	C₂²	semidirect
76. C₂×C₁₉×#123	C₂²	semidirect
77. C₂×C₁₉×#121	C₂²	semidirect
78. C₂×C₁₉×#121	C₂²	semidirect
79. C₂×C₁₉×#120	C₂²	semidirect
80. C₂×C₁₉×#120	C₂²	semidirect
81. C₂×C₁₉×#120	C₂²	semidirect
82. C₂×C₁₉×#120	C₂²	semidirect
83. C₁₉×#518	C₂²	semidirect
84. C₁₉×#518	C₂²	semidirect
85. C₂×C₁₉×#117	C₂²	semidirect
86. C₂²×C₂²⋊C₄×C₁₉	C₂²	semidirect
88. C₂⁵×C₁₉	C₂³	semidirect
93. C₂×#41×C₁₉	C₂³	semidirect
94. C₂×#41×C₁₉	C₂³	semidirect
95. C₂²×Q₈×C₁₉	C₂³	semidirect
108. C₂²×D₄×C₁₉	C₂³	semidirect
109. C₂²×D₄×C₁₉	C₂³	semidirect
110. C₂²×D₄×C₁₉	C₂³	semidirect
111. C₂²×D₄×C₁₉	C₂³	semidirect
112. C₂²×D₄×C₁₉	C₂³	semidirect
114. C₂³×C₄×C₁₉	C₂³	semidirect
115. C₂³×C₄×C₁₉	C₂³	semidirect
116. C₂³×C₄×C₁₉	C₂³	semidirect
117. C₁₉×C₄⋊Q₈	C₂³	semidirect
119. C₁₉×#127	C₂³	semidirect
120. C₁₉×#127	C₂³	semidirect
121. C₁₉×#127	C₂³	semidirect
122. C₁₉×#126	C₂³	semidirect
123. C₁₉×#126	C₂³	semidirect
124. C₁₉×#126	C₂³	semidirect
125. C₁₉×#126	C₂³	semidirect
126. C₁₉×#125	C₂³	semidirect
127. C₁₉×#125	C₂³	semidirect
129. C₁₉×#124	C₂³	semidirect
130. C₁₉×#124	C₂³	semidirect
131. C₁₉×#124	C₂³	semidirect
132. C₁₉×#124	C₂³	semidirect
133. C₁₉×#124	C₂³	semidirect
134. C₁₉×#124	C₂³	semidirect
135. C₁₉×#124	C₂³	semidirect
140. C₁₉×#123	C₂³	semidirect
141. C₁₉×#123	C₂³	semidirect
142. C₁₉×#123	C₂³	semidirect
143. C₁₉×#123	C₂³	semidirect
144. C₁₉×#123	C₂³	semidirect
145. C₁₉×#123	C₂³	semidirect
146. C₁₉×#123	C₂³	semidirect
147. C₁₉×#123	C₂³	semidirect
148. C₁₉×#123	C₂³	semidirect
149. C₁₉×#123	C₂³	semidirect
150. C₁₉×#123	C₂³	semidirect
151. C₁₉×#123	C₂³	semidirect
152. C₁₉×#123	C₂³	semidirect
153. C₁₉×#123	C₂³	semidirect
154. C₁₉×C₂²⋊Q₈	C₂³	semidirect
155. C₁₉×C₂²⋊Q₈	C₂³	semidirect
156. C₁₉×C₂²⋊Q₈	C₂³	semidirect
157. C₁₉×C₂²⋊Q₈	C₂³	semidirect
158. C₁₉×C₂²⋊Q₈	C₂³	semidirect
159. C₁₉×C₂²⋊Q₈	C₂³	semidirect
160. C₁₉×C₂²⋊Q₈	C₂³	semidirect
166. C₁₉×#121	C₂³	semidirect
167. C₁₉×#121	C₂³	semidirect
168. C₁₉×#121	C₂³	semidirect
169. C₁₉×#121	C₂³	semidirect
170. C₁₉×#121	C₂³	semidirect
171. C₁₉×#121	C₂³	semidirect
172. C₁₉×#121	C₂³	semidirect
173. C₁₉×#121	C₂³	semidirect
174. C₁₉×#121	C₂³	semidirect
175. C₁₉×#121	C₂³	semidirect
176. C₁₉×#121	C₂³	semidirect
177. C₁₉×#121	C₂³	semidirect
178. C₁₉×#121	C₂³	semidirect
179. C₁₉×#121	C₂³	semidirect
187. C₁₉×#120	C₂³	semidirect
188. C₁₉×#120	C₂³	semidirect
189. C₁₉×#120	C₂³	semidirect
190. C₁₉×#120	C₂³	semidirect
191. C₁₉×#120	C₂³	semidirect
192. C₁₉×#120	C₂³	semidirect
193. C₁₉×#120	C₂³	semidirect
194. C₁₉×#120	C₂³	semidirect
195. C₁₉×#120	C₂³	semidirect
196. C₁₉×#120	C₂³	semidirect
197. C₄×Q₈×C₁₉	C₂³	semidirect
199. C₄×D₄×C₁₉	C₂³	semidirect
200. C₄×D₄×C₁₉	C₂³	semidirect
201. C₄×D₄×C₁₉	C₂³	semidirect
202. C₄×D₄×C₁₉	C₂³	semidirect
203. C₄×D₄×C₁₉	C₂³	semidirect
204. C₄×D₄×C₁₉	C₂³	semidirect
205. C₄×D₄×C₁₉	C₂³	semidirect
206. C₄×D₄×C₁₉	C₂³	semidirect
207. C₁₉×#117	C₂³	semidirect
208. C₁₉×#117	C₂³	semidirect
209. C₁₉×#117	C₂³	semidirect
210. C₁₉×#117	C₂³	semidirect
211. C₁₉×#117	C₂³	semidirect
212. C₂×C₄⋊C₄×C₁₉	C₂³	semidirect
213. C₂×C₄⋊C₄×C₁₉	C₂³	semidirect
214. C₂×C₄⋊C₄×C₁₉	C₂³	semidirect
219. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
220. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
221. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
222. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
223. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
224. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
225. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
226. C₂×C₂²⋊C₄×C₁₉	C₂³	semidirect
227. C₂×C₄²×C₁₉	C₂³	semidirect
330. #62862	C₁₉	direct (N × H)
399. #3545	C₂×C₁₉	semidirect
400. #3543	C₂×C₁₉	semidirect
401. #3542	C₂×C₁₉	semidirect
402. #3534	C₂×C₁₉	semidirect
403. #3533	C₂×C₁₉	semidirect
404. #3532	C₂×C₁₉	semidirect
405. #3491	C₂×C₁₉	semidirect
406. #3490	C₂×C₁₉	semidirect
407. #3485	C₂×C₁₉	semidirect
408. #3484	C₂×C₁₉	semidirect
409. C₂×#535	C₂×C₁₉	semidirect
410. C₂×#534	C₂×C₁₉	semidirect
439. C₂×H(5,𝔽₂)	C₂²×C₁₉	semidirect
440. C₂²×#41	C₂²×C₁₉	semidirect
441. C₂³×D₄	C₂²×C₁₉	semidirect
442. C₂³×D₄	C₂²×C₁₉	semidirect
443. #563	C₂²×C₁₉	semidirect
444. #562	C₂²×C₁₉	semidirect
445. #562	C₂²×C₁₉	semidirect
446. H(3,𝔽₄)	C₂²×C₁₉	semidirect
447. #560	C₂²×C₁₉	semidirect
448. #560	C₂²×C₁₉	semidirect
449. #560	C₂²×C₁₉	semidirect
450. #559	C₂²×C₁₉	semidirect
451. #555	C₂²×C₁₉	semidirect
452. #553	C₂²×C₁₉	semidirect
453. #552	C₂²×C₁₉	semidirect
454. #551	C₂²×C₁₉	semidirect
455. #551	C₂²×C₁₉	semidirect
456. #551	C₂²×C₁₉	semidirect
457. #551	C₂²×C₁₉	semidirect
458. #550	C₂²×C₁₉	semidirect
459. #547	C₂²×C₁₉	semidirect
460. #546	C₂²×C₁₉	semidirect
461. #546	C₂²×C₁₉	semidirect
462. #546	C₂²×C₁₉	semidirect
463. #546	C₂²×C₁₉	semidirect
464. #546	C₂²×C₁₉	semidirect
465. #546	C₂²×C₁₉	semidirect
466. D₄²	C₂²×C₁₉	semidirect
467. D₄²	C₂²×C₁₉	semidirect
468. D₄²	C₂²×C₁₉	semidirect
469. #543	C₂²×C₁₉	semidirect
470. #542	C₂²×C₁₉	semidirect
471. #540	C₂²×C₁₉	semidirect
472. #540	C₂²×C₁₉	semidirect
473. #539	C₂²×C₁₉	semidirect
474. #539	C₂²×C₁₉	semidirect
475. #538	C₂²×C₁₉	semidirect
476. #538	C₂²×C₁₉	semidirect
477. #538	C₂²×C₁₉	semidirect
478. #538	C₂²×C₁₉	semidirect
479. #537	C₂²×C₁₉	semidirect
480. #536	C₂²×C₁₉	semidirect
481. #535	C₂²×C₁₉	semidirect
482. #535	C₂²×C₁₉	semidirect
483. #535	C₂²×C₁₉	semidirect
484. #535	C₂²×C₁₉	semidirect
486. #534	C₂²×C₁₉	semidirect
487. #534	C₂²×C₁₉	semidirect
488. #534	C₂²×C₁₉	semidirect
489. #534	C₂²×C₁₉	semidirect
490. #534	C₂²×C₁₉	semidirect
491. #534	C₂²×C₁₉	semidirect
492. #534	C₂²×C₁₉	semidirect
493. #534	C₂²×C₁₉	semidirect
494. C₂×#127	C₂²×C₁₉	semidirect
495. #529	C₂²×C₁₉	semidirect
496. C₂×#124	C₂²×C₁₉	semidirect
497. #525	C₂²×C₁₉	semidirect
498. #525	C₂²×C₁₉	semidirect
499. #525	C₂²×C₁₉	semidirect
500. C₂×#123	C₂²×C₁₉	semidirect
501. C₂×#123	C₂²×C₁₉	semidirect
502. C₂×#123	C₂²×C₁₉	semidirect
503. C₂×#121	C₂²×C₁₉	semidirect
504. C₂×#121	C₂²×C₁₉	semidirect
505. C₂×#120	C₂²×C₁₉	semidirect
506. C₂×#120	C₂²×C₁₉	semidirect
507. C₂×#120	C₂²×C₁₉	semidirect
508. C₂×#120	C₂²×C₁₉	semidirect
509. #518	C₂²×C₁₉	semidirect
510. #518	C₂²×C₁₉	semidirect
511. C₂×#117	C₂²×C₁₉	semidirect
512. C₂²×C₂²⋊C₄	C₂²×C₁₉	semidirect
522. C₂⁵	C₂³×C₁₉	semidirect
527. C₂×#41	C₂³×C₁₉	semidirect
528. C₂×#41	C₂³×C₁₉	semidirect
529. C₂²×Q₈	C₂³×C₁₉	semidirect
542. C₂²×D₄	C₂³×C₁₉	semidirect
543. C₂²×D₄	C₂³×C₁₉	semidirect
544. C₂²×D₄	C₂³×C₁₉	semidirect
545. C₂²×D₄	C₂³×C₁₉	semidirect
546. C₂²×D₄	C₂³×C₁₉	semidirect
548. C₂³×C₄	C₂³×C₁₉	semidirect
549. C₂³×C₄	C₂³×C₁₉	semidirect
550. C₂³×C₄	C₂³×C₁₉	semidirect
551. C₄⋊Q₈	C₂³×C₁₉	semidirect
553. #127	C₂³×C₁₉	semidirect
554. #127	C₂³×C₁₉	semidirect
555. #127	C₂³×C₁₉	semidirect
556. #126	C₂³×C₁₉	semidirect
557. #126	C₂³×C₁₉	semidirect
558. #126	C₂³×C₁₉	semidirect
559. #126	C₂³×C₁₉	semidirect
560. #125	C₂³×C₁₉	semidirect
561. #125	C₂³×C₁₉	semidirect
563. #124	C₂³×C₁₉	semidirect
564. #124	C₂³×C₁₉	semidirect
565. #124	C₂³×C₁₉	semidirect
566. #124	C₂³×C₁₉	semidirect
567. #124	C₂³×C₁₉	semidirect
568. #124	C₂³×C₁₉	semidirect
569. #124	C₂³×C₁₉	semidirect
574. #123	C₂³×C₁₉	semidirect
575. #123	C₂³×C₁₉	semidirect
576. #123	C₂³×C₁₉	semidirect
577. #123	C₂³×C₁₉	semidirect
578. #123	C₂³×C₁₉	semidirect
579. #123	C₂³×C₁₉	semidirect
580. #123	C₂³×C₁₉	semidirect
581. #123	C₂³×C₁₉	semidirect
582. #123	C₂³×C₁₉	semidirect
583. #123	C₂³×C₁₉	semidirect
584. #123	C₂³×C₁₉	semidirect
585. #123	C₂³×C₁₉	semidirect
586. #123	C₂³×C₁₉	semidirect
587. #123	C₂³×C₁₉	semidirect
588. C₂²⋊Q₈	C₂³×C₁₉	semidirect
589. C₂²⋊Q₈	C₂³×C₁₉	semidirect
590. C₂²⋊Q₈	C₂³×C₁₉	semidirect
591. C₂²⋊Q₈	C₂³×C₁₉	semidirect
592. C₂²⋊Q₈	C₂³×C₁₉	semidirect
593. C₂²⋊Q₈	C₂³×C₁₉	semidirect
594. C₂²⋊Q₈	C₂³×C₁₉	semidirect
600. #121	C₂³×C₁₉	semidirect
601. #121	C₂³×C₁₉	semidirect
602. #121	C₂³×C₁₉	semidirect
603. #121	C₂³×C₁₉	semidirect
604. #121	C₂³×C₁₉	semidirect
605. #121	C₂³×C₁₉	semidirect
606. #121	C₂³×C₁₉	semidirect
607. #121	C₂³×C₁₉	semidirect
608. #121	C₂³×C₁₉	semidirect
609. #121	C₂³×C₁₉	semidirect
610. #121	C₂³×C₁₉	semidirect
611. #121	C₂³×C₁₉	semidirect
612. #121	C₂³×C₁₉	semidirect
613. #121	C₂³×C₁₉	semidirect
621. #120	C₂³×C₁₉	semidirect
622. #120	C₂³×C₁₉	semidirect
623. #120	C₂³×C₁₉	semidirect
624. #120	C₂³×C₁₉	semidirect
625. #120	C₂³×C₁₉	semidirect
626. #120	C₂³×C₁₉	semidirect
627. #120	C₂³×C₁₉	semidirect
628. #120	C₂³×C₁₉	semidirect
629. #120	C₂³×C₁₉	semidirect
630. #120	C₂³×C₁₉	semidirect
631. C₄×Q₈	C₂³×C₁₉	semidirect
633. C₄×D₄	C₂³×C₁₉	semidirect
634. C₄×D₄	C₂³×C₁₉	semidirect
635. C₄×D₄	C₂³×C₁₉	semidirect
636. C₄×D₄	C₂³×C₁₉	semidirect
637. C₄×D₄	C₂³×C₁₉	semidirect
638. C₄×D₄	C₂³×C₁₉	semidirect
639. C₄×D₄	C₂³×C₁₉	semidirect
640. C₄×D₄	C₂³×C₁₉	semidirect
641. #117	C₂³×C₁₉	semidirect
642. #117	C₂³×C₁₉	semidirect
643. #117	C₂³×C₁₉	semidirect
644. #117	C₂³×C₁₉	semidirect
645. #117	C₂³×C₁₉	semidirect
646. C₂×C₄⋊C₄	C₂³×C₁₉	semidirect
647. C₂×C₄⋊C₄	C₂³×C₁₉	semidirect
648. C₂×C₄⋊C₄	C₂³×C₁₉	semidirect
653. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
654. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
655. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
656. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
657. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
658. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
659. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
660. C₂×C₂²⋊C₄	C₂³×C₁₉	semidirect
661. C₂×C₄²	C₂³×C₁₉	semidirect
662. C₁₉	#62862	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×#3545	2
C₁₉×#3543	2
C₁₉×#3542	2
C₁₉×#3534	2
C₁₉×#3533	2
C₁₉×#3532	2
C₁₉×#3491	2
C₁₉×#3490	2
C₁₉×#3485	2
C₁₉×#3484	2
C₂×C₁₉×#535	2
C₂×C₁₉×#534	2
#62862	19

Subgroups — C19×#62862 #18068821

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62862 #18068821