Subgroups — C₁₉×#62880 #18068839

Order 4864.

7362 conjugacy classes of subgroups.

The subgroup lattice has 948 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3562	C₂	1	8	yes	maximal, complemented
2	C₁₉×#3543	C₂	1	8	yes	maximal, complemented
3	C₁₉×#3542	C₂	1	8	yes	maximal, complemented
4	C₁₉×#3539	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3537	C₂	1	8	yes	maximal, complemented
6	C₁₉×#3537	C₂	1	4	yes	maximal, complemented
7	C₁₉×#3534	C₂	1	8	yes	maximal, complemented
8	C₁₉×#3512	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3506	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3498	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3496	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3488	C₂	1	4	yes	maximal, complemented
13	C₁₉×#3455	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₉×#540	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3449	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×H(5,𝔽₂)	C₂²	1	4	yes	complemented
17	C₂²×#41×C₁₉	C₂²	1	2	yes	complemented
18	C₁₉×#562	C₂²	1	16	yes	complemented
19	C₁₉×#560	C₂²	1	16	yes	complemented
20	C₁₉×#560	C₂²	1	16	yes	complemented
21	C₁₉×#560	C₂²	1	16	yes	complemented
22	C₁₉×#559	C₂²	1	8	yes	complemented
23	C₁₉×#556	C₂²	1	4	yes	complemented
24	C₁₉×#555	C₂²	1	4	yes	complemented
25	C₁₉×#553	C₂²	1	8	yes	complemented
26	C₁₉×#553	C₂²	1	16	yes	complemented
27	C₁₉×#553	C₂²	1	8	yes	complemented
28	C₁₉×#553	C₂²	1	16	yes	complemented
29	C₁₉×#552	C₂²	1	8	yes	complemented
30	C₁₉×#551	C₂²	1	16	yes	complemented
31	C₁₉×#550	C₂²	1	8	yes	complemented
32	C₁₉×#550	C₂²	1	8	yes	complemented
33	C₁₉×#550	C₂²	1	4	yes	complemented
34	C₁₉×#548	C₂²	1	8	yes	complemented
35	C₁₉×#547	C₂²	1	4	yes	complemented
36	C₁₉×#547	C₂²	1	4	yes	complemented
37	C₁₉×#547	C₂²	1	4	yes	complemented
38	C₁₉×#546	C₂²	1	16	yes	complemented
39	C₁₉×#546	C₂²	1	8	yes	complemented
40	C₁₉×#546	C₂²	1	8	yes	complemented
41	C₁₉×#546	C₂²	1	8	yes	complemented
42	C₁₉×#546	C₂²	1	16	yes	complemented
43	D₄²×C₁₉	C₂²	1	16	yes	complemented
44	D₄²×C₁₉	C₂²	1	8	yes	complemented
45	D₄²×C₁₉	C₂²	1	4	yes	complemented
46	D₄²×C₁₉	C₂²	1	4	yes	complemented
47	D₄²×C₁₉	C₂²	1	16	yes	complemented
48	D₄²×C₁₉	C₂²	1	8	yes	complemented
49	D₄²×C₁₉	C₂²	1	16	yes	complemented
50	C₁₉×#542	C₂²	1	4	yes	complemented
51	C₁₉×#541	C₂²	1	2	yes	complemented
52	C₁₉×#541	C₂²	1	4	yes	complemented
53	C₁₉×#540	C₂²	1	4	yes	complemented
54	C₁₉×#540	C₂²	1	4	yes	complemented
55	C₁₉×#540	C₂²	1	8	yes	complemented
56	C₁₉×#540	C₂²	1	2	yes	complemented
57	C₁₉×#540	C₂²	1	4	yes	complemented
58	C₁₉×#540	C₂²	1	16	yes	complemented
59	C₁₉×#540	C₂²	1	16	yes	complemented
60	C₁₉×#539	C₂²	1	4	yes	complemented
61	C₁₉×#539	C₂²	1	16	yes	complemented
62	C₁₉×#538	C₂²	1	4	yes	complemented
63	C₁₉×#538	C₂²	1	8	yes	complemented
64	C₁₉×#538	C₂²	1	16	yes	complemented
65	C₁₉×#538	C₂²	1	16	yes	complemented
66	C₁₉×#537	C₂²	1	4	yes	complemented
67	C₁₉×#537	C₂²	1	4	yes	complemented
68	C₁₉×#537	C₂²	1	8	yes	complemented
69	C₁₉×#536	C₂²	1	4	yes	complemented
70	C₁₉×#535	C₂²	1	4	yes	complemented
71	C₁₉×#535	C₂²	1	4	yes	complemented
72	C₁₉×#535	C₂²	1	8	yes	complemented
73	C₁₉×#535	C₂²	1	8	yes	complemented
74	C₁₉×#535	C₂²	1	16	yes	complemented
75	C₁₉×#534	C₂²	1	4	yes	complemented
76	C₁₉×#534	C₂²	1	8	yes	complemented
77	C₁₉×#534	C₂²	1	16	yes	complemented
78	C₁₉×#534	C₂²	1	16	yes	complemented
79	C₁₉×#533	C₂²	1	1	yes	characteristic, complemented
80	C₁₉×#532	C₂²	1	2	yes	complemented
81	C₁₉×#532	C₂²	1	2	yes	complemented
82	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
83	C₁₉×#532	C₂²	1	4	yes	complemented
84	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₁₉×#127	C₂²	1	4	yes	complemented
86	C₁₉×#529	C₂²	1	8	yes	complemented
87	C₁₉×#529	C₂²	1	8	yes	complemented
88	C₂×C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
89	C₁₉×#525	C₂²	1	4	yes	complemented
90	C₁₉×#525	C₂²	1	4	yes	complemented
91	C₁₉×#525	C₂²	1	2	yes	complemented
92	C₁₉×#525	C₂²	1	8	yes	complemented
93	C₁₉×#525	C₂²	1	8	yes	complemented
94	C₂×C₁₉×#123	C₂²	1	4	yes	complemented
95	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
96	C₂×C₁₉×#121	C₂²	1	4	yes	complemented
97	C₂×C₁₉×#121	C₂²	1	8	yes	complemented
98	C₂×C₁₉×#121	C₂²	1	8	yes	complemented
99	C₁₉×#520	C₂²	1	4	yes	complemented
100	C₄×#41×C₁₉	C₂²	1	2	yes	complemented
101	C₂×C₄×D₄×C₁₉	C₂²	1	2	yes	complemented
102	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×H(5,𝔽₂)	—	4	16	no	—
104	C₂×#41×C₁₉	—	4	8	no	—
105	C₂×#41×C₁₉	C₂³	1	2	yes	—
106	C₂×#41×C₁₉	C₂³	1	4	yes	—
107	C₂×#41×C₁₉	C₂³	1	4	yes	—
108	C₂×#41×C₁₉	C₂³	1	8	yes	—
109	C₂×#41×C₁₉	C₂³	1	8	yes	—
110	C₂×#41×C₁₉	C₂³	1	4	yes	—
111	C₂×#41×C₁₉	C₂³	1	4	yes	—
112	C₂×#41×C₁₉	C₂³	1	8	yes	—
113	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₉	C₂³	1	16	yes	—
116	C₂²×D₄×C₁₉	C₂³	1	8	yes	—
117	C₂²×D₄×C₁₉	C₂³	1	8	yes	—
118	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
119	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
121	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
122	C₂²×D₄×C₁₉	C₂³	1	8	yes	—
123	C₂²×D₄×C₁₉	C₂³	1	16	yes	—
124	C₂²×D₄×C₁₉	C₂³	1	16	yes	—
125	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
127	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
128	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
129	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
130	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
131	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
132	C₁₉×#127	C₂³	1	4	yes	—
133	C₁₉×#127	C₂³	1	2	yes	—
134	C₁₉×#127	C₂³	1	8	yes	—
135	C₁₉×#127	C₂³	1	16	yes	—
136	C₁₉×#127	C₂³	1	4	yes	—
137	C₁₉×#127	C₂³	1	2	yes	—
138	C₁₉×#127	C₂³	1	1	yes	characteristic
139	C₁₉×#127	C₂³	1	16	yes	—
140	C₁₉×#126	C₂³	1	16	yes	—
141	C₁₉×#126	C₂³	1	8	yes	—
142	C₁₉×#126	C₂³	1	8	yes	—
143	C₁₉×#126	C₂³	1	16	yes	—
144	C₁₉×#126	C₂³	1	16	yes	—
145	C₁₉×#125	C₂³	1	4	yes	—
146	C₁₉×#125	C₂³	1	4	yes	—
147	C₁₉×#125	C₂³	1	8	yes	—
148	C₁₉×#125	C₂³	1	2	yes	—
149	C₁₉×#125	C₂³	1	16	yes	—
150	C₁₉×#124	C₂³	1	4	yes	—
151	C₁₉×#124	C₂³	1	8	yes	—
152	C₁₉×#124	C₂³	1	8	yes	—
153	C₁₉×#124	C₂³	1	4	yes	—
154	C₁₉×#124	C₂³	1	2	yes	—
155	C₁₉×#124	C₂³	1	16	yes	—
156	C₁₉×#124	C₂³	1	16	yes	—
157	C₁₉×#123	C₂³	1	16	yes	—
158	C₁₉×#123	C₂³	1	16	yes	—
159	C₁₉×#123	C₂³	1	8	yes	—
160	C₁₉×#123	C₂³	1	8	yes	—
161	C₁₉×#123	C₂³	1	16	yes	—
162	C₁₉×#123	C₂³	1	4	yes	—
163	C₁₉×#123	C₂³	1	16	yes	—
164	C₁₉×#123	C₂³	1	8	yes	—
165	C₁₉×#123	C₂³	1	8	yes	—
166	C₁₉×#123	C₂³	1	16	yes	—
167	C₁₉×#123	C₂³	1	16	yes	—
168	C₁₉×#123	C₂³	1	16	yes	—
169	C₁₉×#123	C₂³	1	16	yes	—
170	C₁₉×#123	C₂³	1	16	yes	—
171	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
172	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
173	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
174	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
175	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
176	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
177	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
178	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
179	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
180	C₁₉×#121	C₂³	1	4	yes	—
181	C₁₉×#121	C₂³	1	8	yes	—
182	C₁₉×#121	C₂³	1	4	yes	—
183	C₁₉×#121	C₂³	1	4	yes	—
184	C₁₉×#121	C₂³	1	16	yes	—
185	C₁₉×#121	C₂³	1	16	yes	—
186	C₁₉×#121	C₂³	1	16	yes	—
187	C₁₉×#121	C₂³	1	8	yes	—
188	C₁₉×#121	C₂³	1	8	yes	—
189	C₁₉×#121	C₂³	1	16	yes	—
190	C₁₉×#121	C₂³	1	8	yes	—
191	C₁₉×#121	C₂³	1	16	yes	—
192	C₁₉×#121	C₂³	1	8	yes	—
193	C₁₉×#121	C₂³	1	8	yes	—
194	C₁₉×#121	C₂³	1	16	yes	—
195	C₁₉×#121	C₂³	1	4	yes	—
196	C₁₉×#121	C₂³	1	8	yes	—
197	C₁₉×#121	C₂³	1	8	yes	—
198	C₁₉×#121	C₂³	1	8	yes	—
199	C₁₉×#121	C₂³	1	8	yes	—
200	C₁₉×#121	C₂³	1	8	yes	—
201	C₁₉×#121	C₂³	1	8	yes	—
202	C₁₉×#121	C₂³	1	8	yes	—
203	C₁₉×#121	C₂³	1	16	yes	—
204	C₁₉×#121	C₂³	1	16	yes	—
205	C₁₉×#121	C₂³	1	16	yes	—
206	C₁₉×#121	C₂³	1	16	yes	—
207	C₁₉×#121	C₂³	1	16	yes	—
208	C₁₉×#121	C₂³	1	16	yes	—
209	C₁₉×#121	C₂³	1	16	yes	—
210	C₁₉×#121	C₂³	1	16	yes	—
211	C₁₉×#120	C₂³	1	8	yes	—
212	C₁₉×#120	C₂³	1	8	yes	—
213	C₁₉×#120	C₂³	1	16	yes	—
214	C₁₉×#120	C₂³	1	16	yes	—
215	C₁₉×#120	C₂³	1	4	yes	—
216	C₁₉×#120	C₂³	1	16	yes	—
217	C₁₉×#120	C₂³	1	16	yes	—
218	C₁₉×#120	C₂³	1	16	yes	—
219	C₁₉×#120	C₂³	1	16	yes	—
220	C₁₉×#120	C₂³	1	16	yes	—
221	C₁₉×#120	C₂³	1	16	yes	—
222	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
223	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
224	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
225	C₄×D₄×C₁₉	C₂³	1	4	yes	—
226	C₄×D₄×C₁₉	C₂³	1	4	yes	—
227	C₄×D₄×C₁₉	C₂³	1	4	yes	—
228	C₄×D₄×C₁₉	C₂³	1	4	yes	—
229	C₄×D₄×C₁₉	C₂³	1	8	yes	—
230	C₄×D₄×C₁₉	C₂³	1	4	yes	—
231	C₄×D₄×C₁₉	C₂³	1	16	yes	—
232	C₄×D₄×C₁₉	C₂³	1	8	yes	—
233	C₄×D₄×C₁₉	C₂³	1	4	yes	—
234	C₄×D₄×C₁₉	C₂³	1	8	yes	—
235	C₄×D₄×C₁₉	C₂³	1	4	yes	—
236	C₄×D₄×C₁₉	C₂³	1	8	yes	—
237	C₄×D₄×C₁₉	C₂³	1	16	yes	—
238	C₄×D₄×C₁₉	C₂³	1	16	yes	—
239	C₄×D₄×C₁₉	C₂³	1	16	yes	—
240	C₄×D₄×C₁₉	C₂³	1	4	yes	—
241	C₄×D₄×C₁₉	C₂³	1	16	yes	—
242	C₄×D₄×C₁₉	C₂³	1	16	yes	—
243	C₁₉×#117	C₂³	1	2	yes	—
244	C₁₉×#117	C₂³	1	2	yes	—
245	C₁₉×#117	C₂³	1	4	yes	—
246	C₁₉×#117	C₂³	1	2	yes	—
247	C₁₉×#117	C₂³	1	4	yes	—
248	C₁₉×#117	C₂³	1	8	yes	—
249	C₁₉×#117	C₂³	1	8	yes	—
250	C₁₉×#117	C₂³	1	16	yes	—
251	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
252	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
253	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
254	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
255	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
256	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
257	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
258	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
259	C₂×C₂²⋊C₄×C₁₉	C₂³	1	16	yes	—
260	C₂×C₂²⋊C₄×C₁₉	C₂³	1	16	yes	—
261	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
262	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
263	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
264	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
265	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
266	C₂⁴×C₁₉	C₂⁴	1	16	yes	—
267	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
268	#41×C₁₉	—	2	16	no	—
269	#41×C₁₉	—	2	8	no	—
270	#41×C₁₉	—	4	8	no	—
271	#41×C₁₉	—	4	8	no	—
272	#41×C₁₉	—	4	8	no	—
273	#41×C₁₉	—	4	16	no	—
274	#41×C₁₉	—	4	16	no	—
275	#41×C₁₉	—	8	8	no	—
276	C₂×Q₈×C₁₉	—	4	4	no	—
277	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
278	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
279	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
280	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
281	C₂×D₄×C₁₉	—	2	8	no	—
282	C₂×D₄×C₁₉	—	4	4	no	—
283	C₂×D₄×C₁₉	—	4	16	no	—
284	C₂×D₄×C₁₉	—	4	16	no	—
285	C₂×D₄×C₁₉	—	4	8	no	—
286	C₂×D₄×C₁₉	—	4	32	no	—
287	C₂×D₄×C₁₉	—	8	4	no	—
288	C₂×D₄×C₁₉	—	8	8	no	—
289	C₂×D₄×C₁₉	—	8	4	no	—
290	C₂×D₄×C₁₉	—	8	16	no	—
291	C₂×D₄×C₁₉	—	8	16	no	—
292	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
293	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
294	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
295	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
296	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
297	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
298	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
299	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
300	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
301	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
302	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
303	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
304	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
305	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
306	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
307	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
308	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
309	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
310	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
311	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
312	C₂²×C₄×C₁₉	—	2	4	no	—
313	C₂²×C₄×C₁₉	—	4	8	no	—
314	C₂²×C₄×C₁₉	—	8	4	no	—
315	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
316	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
318	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
323	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
324	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
325	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
326	C₂²×C₄×C₁₉	C₂⁴	1	16	yes	—
327	C₂²×C₄×C₁₉	C₂⁴	1	16	yes	—
328	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
329	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
330	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
331	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
332	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
333	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
334	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
335	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
336	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
337	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
338	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
339	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
340	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
341	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
342	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
343	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
344	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
345	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
346	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
347	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
348	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
349	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
350	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
351	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
352	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
353	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
354	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
355	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
356	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
357	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
358	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
359	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
360	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
361	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
362	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
363	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
364	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
365	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
366	C₄²×C₁₉	C₂⁴	1	2	yes	—
367	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
368	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
369	C₄²×C₁₉	C₂⁴	1	2	yes	—
370	C₄²×C₁₉	C₂⁴	1	2	yes	—
371	C₄²×C₁₉	C₂⁴	1	4	yes	—
372	C₄²×C₁₉	C₂⁴	1	8	yes	—
373	C₄²×C₁₉	C₂⁴	1	16	yes	—
374	#62880	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
375	C₂³×C₁₉	—	2	2	no	—
376	C₂³×C₁₉	—	2	8	no	—
377	C₂³×C₁₉	—	4	4	no	—
378	C₂³×C₁₉	—	4	4	no	—
379	C₂³×C₁₉	—	4	2	no	—
380	C₂³×C₁₉	—	4	4	no	—
381	C₂³×C₁₉	—	4	8	no	—
382	C₂³×C₁₉	—	4	16	no	—
383	C₂³×C₁₉	—	4	16	no	—
384	C₂³×C₁₉	—	4	16	no	—
385	C₂³×C₁₉	C₂⁵	1	4	yes	—
386	C₂³×C₁₉	C₂⁵	1	2	yes	—
387	C₂³×C₁₉	C₂⁵	1	8	yes	—
388	C₂³×C₁₉	C₂⁵	1	8	yes	—
389	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
390	Q₈×C₁₉	—	2	8	no	—
391	Q₈×C₁₉	—	2	4	no	—
392	Q₈×C₁₉	—	4	4	no	—
393	Q₈×C₁₉	—	4	4	no	—
394	D₄×C₁₉	—	2	8	no	—
395	D₄×C₁₉	—	2	16	no	—
396	D₄×C₁₉	—	2	8	no	—
397	D₄×C₁₉	—	2	8	no	—
398	D₄×C₁₉	—	2	4	no	—
399	D₄×C₁₉	—	2	8	no	—
400	D₄×C₁₉	—	4	16	no	—
401	D₄×C₁₉	—	4	16	no	—
402	D₄×C₁₉	—	4	4	no	—
403	D₄×C₁₉	—	4	8	no	—
404	D₄×C₁₉	—	4	4	no	—
405	D₄×C₁₉	—	4	16	no	—
406	D₄×C₁₉	—	4	4	no	—
407	D₄×C₁₉	—	4	16	no	—
408	D₄×C₁₉	—	4	16	no	—
409	D₄×C₁₉	—	4	8	no	—
410	D₄×C₁₉	—	4	8	no	—
411	D₄×C₁₉	—	4	16	no	—
412	D₄×C₁₉	—	4	16	no	—
413	D₄×C₁₉	—	4	4	no	—
414	C₂×C₄×C₁₉	—	2	2	no	—
415	C₂×C₄×C₁₉	—	2	4	no	—
416	C₂×C₄×C₁₉	—	2	4	no	—
417	C₂×C₄×C₁₉	—	2	16	no	—
418	C₂×C₄×C₁₉	—	2	8	no	—
419	C₂×C₄×C₁₉	—	4	4	no	—
420	C₂×C₄×C₁₉	—	4	8	no	—
421	C₂×C₄×C₁₉	—	4	2	no	—
422	C₂×C₄×C₁₉	—	4	4	no	—
423	C₂×C₄×C₁₉	—	4	8	no	—
424	C₂×C₄×C₁₉	—	4	8	no	—
425	C₂×C₄×C₁₉	—	4	16	no	—
426	C₂×C₄×C₁₉	—	4	2	no	—
427	C₂×C₄×C₁₉	—	4	8	no	—
428	C₂×C₄×C₁₉	—	4	16	no	—
429	C₂×C₄×C₁₉	H(5,𝔽₂)	1	4	yes	—
430	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
431	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
432	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
433	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
434	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
435	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
436	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
437	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
438	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
439	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
440	#3562	C₂×C₁₉	1	8	yes	complemented
441	#3543	C₂×C₁₉	1	8	yes	complemented
442	#3542	C₂×C₁₉	1	8	yes	complemented
443	#3539	C₂×C₁₉	1	4	yes	complemented
444	#3537	C₂×C₁₉	1	8	yes	complemented
445	#3537	C₂×C₁₉	1	4	yes	complemented
446	#3534	C₂×C₁₉	1	8	yes	complemented
447	#3512	C₂×C₁₉	1	2	yes	complemented
448	#3506	C₂×C₁₉	1	2	yes	complemented
449	#3498	C₂×C₁₉	1	2	yes	complemented
450	#3496	C₂×C₁₉	1	2	yes	complemented
451	#3488	C₂×C₁₉	1	4	yes	complemented
452	#3455	C₂×C₁₉	1	1	yes	characteristic, complemented
453	C₂×#540	C₂×C₁₉	1	1	yes	characteristic, complemented
454	#3449	C₂×C₁₉	1	1	yes	characteristic, complemented
455	C₂²×C₁₉	—	2	2	no	—
456	C₂²×C₁₉	—	2	2	no	—
457	C₂²×C₁₉	—	2	8	no	—
458	C₂²×C₁₉	—	2	4	no	—
459	C₂²×C₁₉	—	2	8	no	—
460	C₂²×C₁₉	—	2	8	no	—
461	C₂²×C₁₉	—	2	8	no	—
462	C₂²×C₁₉	—	2	8	no	—
463	C₂²×C₁₉	—	2	4	no	—
464	C₂²×C₁₉	—	2	8	no	—
465	C₂²×C₁₉	—	2	8	no	—
466	C₂²×C₁₉	—	8	2	no	—
467	C₂²×C₁₉	—	8	8	no	—
468	C₂²×C₁₉	—	8	8	no	—
469	C₂²×C₁₉	—	16	16	no	—
470	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
471	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
472	C₄×C₁₉	—	2	2	no	—
473	C₄×C₁₉	—	2	4	no	—
474	C₄×C₁₉	—	2	8	no	—
475	C₄×C₁₉	—	2	2	no	—
476	C₄×C₁₉	—	2	8	no	—
477	C₄×C₁₉	—	2	2	no	—
478	C₄×C₁₉	—	2	4	no	—
479	C₄×C₁₉	—	2	8	no	—
480	C₄×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
481	C₄×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
482	C₂×H(5,𝔽₂)	C₂²×C₁₉	1	4	yes	complemented
483	C₂²×#41	C₂²×C₁₉	1	2	yes	complemented
484	#562	C₂²×C₁₉	1	16	yes	complemented
485	#560	C₂²×C₁₉	1	16	yes	complemented
486	#560	C₂²×C₁₉	1	16	yes	complemented
487	#560	C₂²×C₁₉	1	16	yes	complemented
488	#559	C₂²×C₁₉	1	8	yes	complemented
489	#556	C₂²×C₁₉	1	4	yes	complemented
490	#555	C₂²×C₁₉	1	4	yes	complemented
491	#553	C₂²×C₁₉	1	8	yes	complemented
492	#553	C₂²×C₁₉	1	16	yes	complemented
493	#553	C₂²×C₁₉	1	8	yes	complemented
494	#553	C₂²×C₁₉	1	16	yes	complemented
495	#552	C₂²×C₁₉	1	8	yes	complemented
496	#551	C₂²×C₁₉	1	16	yes	complemented
497	#550	C₂²×C₁₉	1	8	yes	complemented
498	#550	C₂²×C₁₉	1	8	yes	complemented
499	#550	C₂²×C₁₉	1	4	yes	complemented
500	#548	C₂²×C₁₉	1	8	yes	complemented
501	#547	C₂²×C₁₉	1	4	yes	complemented
502	#547	C₂²×C₁₉	1	4	yes	complemented
503	#547	C₂²×C₁₉	1	4	yes	complemented
504	#546	C₂²×C₁₉	1	16	yes	complemented
505	#546	C₂²×C₁₉	1	8	yes	complemented
506	#546	C₂²×C₁₉	1	8	yes	complemented
507	#546	C₂²×C₁₉	1	8	yes	complemented
508	#546	C₂²×C₁₉	1	16	yes	complemented
509	D₄²	C₂²×C₁₉	1	16	yes	complemented
510	D₄²	C₂²×C₁₉	1	8	yes	complemented
511	D₄²	C₂²×C₁₉	1	4	yes	complemented
512	D₄²	C₂²×C₁₉	1	4	yes	complemented
513	D₄²	C₂²×C₁₉	1	16	yes	complemented
514	D₄²	C₂²×C₁₉	1	8	yes	complemented
515	D₄²	C₂²×C₁₉	1	16	yes	complemented
516	#542	C₂²×C₁₉	1	4	yes	complemented
517	#541	C₂²×C₁₉	1	2	yes	complemented
518	#541	C₂²×C₁₉	1	4	yes	complemented
519	#540	C₂²×C₁₉	1	4	yes	complemented
520	#540	C₂²×C₁₉	1	4	yes	complemented
521	#540	C₂²×C₁₉	1	8	yes	complemented
522	#540	C₂²×C₁₉	1	2	yes	complemented
523	#540	C₂²×C₁₉	1	4	yes	complemented
524	#540	C₂²×C₁₉	1	16	yes	complemented
525	#540	C₂²×C₁₉	1	16	yes	complemented
526	#539	C₂²×C₁₉	1	4	yes	complemented
527	#539	C₂²×C₁₉	1	16	yes	complemented
528	#538	C₂²×C₁₉	1	4	yes	complemented
529	#538	C₂²×C₁₉	1	8	yes	complemented
530	#538	C₂²×C₁₉	1	16	yes	complemented
531	#538	C₂²×C₁₉	1	16	yes	complemented
532	#537	C₂²×C₁₉	1	4	yes	complemented
533	#537	C₂²×C₁₉	1	4	yes	complemented
534	#537	C₂²×C₁₉	1	8	yes	complemented
535	#536	C₂²×C₁₉	1	4	yes	complemented
536	#535	C₂²×C₁₉	1	4	yes	complemented
537	#535	C₂²×C₁₉	1	4	yes	complemented
538	#535	C₂²×C₁₉	1	8	yes	complemented
539	#535	C₂²×C₁₉	1	8	yes	complemented
540	#535	C₂²×C₁₉	1	16	yes	complemented
541	#534	C₂²×C₁₉	1	4	yes	complemented
542	#534	C₂²×C₁₉	1	8	yes	complemented
543	#534	C₂²×C₁₉	1	16	yes	complemented
544	#534	C₂²×C₁₉	1	16	yes	complemented
545	#533	C₂²×C₁₉	1	1	yes	characteristic, complemented
546	#532	C₂²×C₁₉	1	2	yes	complemented
547	#532	C₂²×C₁₉	1	2	yes	complemented
548	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
549	#532	C₂²×C₁₉	1	4	yes	complemented
550	C₂×#127	C₂²×C₁₉	1	1	yes	characteristic, complemented
551	C₂×#127	C₂²×C₁₉	1	4	yes	complemented
552	#529	C₂²×C₁₉	1	8	yes	complemented
553	#529	C₂²×C₁₉	1	8	yes	complemented
554	C₂×#125	C₂²×C₁₉	1	1	yes	characteristic, complemented
555	#525	C₂²×C₁₉	1	4	yes	complemented
556	#525	C₂²×C₁₉	1	4	yes	complemented
557	#525	C₂²×C₁₉	1	2	yes	complemented
558	#525	C₂²×C₁₉	1	8	yes	complemented
559	#525	C₂²×C₁₉	1	8	yes	complemented
560	C₂×#123	C₂²×C₁₉	1	4	yes	complemented
561	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
562	C₂×#121	C₂²×C₁₉	1	4	yes	complemented
563	C₂×#121	C₂²×C₁₉	1	8	yes	complemented
564	C₂×#121	C₂²×C₁₉	1	8	yes	complemented
565	#520	C₂²×C₁₉	1	4	yes	complemented
566	C₄×#41	C₂²×C₁₉	1	2	yes	complemented
567	C₂×C₄×D₄	C₂²×C₁₉	1	2	yes	complemented
568	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic, complemented
569	C₂×C₁₉	—	2	2	no	—
570	C₂×C₁₉	—	4	2	no	—
571	C₂×C₁₉	—	4	8	no	—
572	C₂×C₁₉	—	4	8	no	—
573	C₂×C₁₉	—	4	4	no	—
574	C₂×C₁₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
575	C₂×C₁₉	H(7,𝔽₂)	1	2	yes	—
576	H(5,𝔽₂)	—	4	16	no	—
577	C₂×#41	—	4	8	no	—
578	C₂×#41	C₂³×C₁₉	1	2	yes	—
579	C₂×#41	C₂³×C₁₉	1	4	yes	—
580	C₂×#41	C₂³×C₁₉	1	4	yes	—
581	C₂×#41	C₂³×C₁₉	1	8	yes	—
582	C₂×#41	C₂³×C₁₉	1	8	yes	—
583	C₂×#41	C₂³×C₁₉	1	4	yes	—
584	C₂×#41	C₂³×C₁₉	1	4	yes	—
585	C₂×#41	C₂³×C₁₉	1	8	yes	—
586	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
587	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
588	C₂²×D₄	C₂³×C₁₉	1	16	yes	—
589	C₂²×D₄	C₂³×C₁₉	1	8	yes	—
590	C₂²×D₄	C₂³×C₁₉	1	8	yes	—
591	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
592	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
593	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
594	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
595	C₂²×D₄	C₂³×C₁₉	1	8	yes	—
596	C₂²×D₄	C₂³×C₁₉	1	16	yes	—
597	C₂²×D₄	C₂³×C₁₉	1	16	yes	—
598	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
599	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
600	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
601	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
602	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
603	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
604	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
605	#127	C₂³×C₁₉	1	4	yes	—
606	#127	C₂³×C₁₉	1	2	yes	—
607	#127	C₂³×C₁₉	1	8	yes	—
608	#127	C₂³×C₁₉	1	16	yes	—
609	#127	C₂³×C₁₉	1	4	yes	—
610	#127	C₂³×C₁₉	1	2	yes	—
611	#127	C₂³×C₁₉	1	1	yes	characteristic
612	#127	C₂³×C₁₉	1	16	yes	—
613	#126	C₂³×C₁₉	1	16	yes	—
614	#126	C₂³×C₁₉	1	8	yes	—
615	#126	C₂³×C₁₉	1	8	yes	—
616	#126	C₂³×C₁₉	1	16	yes	—
617	#126	C₂³×C₁₉	1	16	yes	—
618	#125	C₂³×C₁₉	1	4	yes	—
619	#125	C₂³×C₁₉	1	4	yes	—
620	#125	C₂³×C₁₉	1	8	yes	—
621	#125	C₂³×C₁₉	1	2	yes	—
622	#125	C₂³×C₁₉	1	16	yes	—
623	#124	C₂³×C₁₉	1	4	yes	—
624	#124	C₂³×C₁₉	1	8	yes	—
625	#124	C₂³×C₁₉	1	8	yes	—
626	#124	C₂³×C₁₉	1	4	yes	—
627	#124	C₂³×C₁₉	1	2	yes	—
628	#124	C₂³×C₁₉	1	16	yes	—
629	#124	C₂³×C₁₉	1	16	yes	—
630	#123	C₂³×C₁₉	1	16	yes	—
631	#123	C₂³×C₁₉	1	16	yes	—
632	#123	C₂³×C₁₉	1	8	yes	—
633	#123	C₂³×C₁₉	1	8	yes	—
634	#123	C₂³×C₁₉	1	16	yes	—
635	#123	C₂³×C₁₉	1	4	yes	—
636	#123	C₂³×C₁₉	1	16	yes	—
637	#123	C₂³×C₁₉	1	8	yes	—
638	#123	C₂³×C₁₉	1	8	yes	—
639	#123	C₂³×C₁₉	1	16	yes	—
640	#123	C₂³×C₁₉	1	16	yes	—
641	#123	C₂³×C₁₉	1	16	yes	—
642	#123	C₂³×C₁₉	1	16	yes	—
643	#123	C₂³×C₁₉	1	16	yes	—
644	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
645	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
646	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
647	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
648	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
649	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
650	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
651	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
652	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
653	#121	C₂³×C₁₉	1	4	yes	—
654	#121	C₂³×C₁₉	1	8	yes	—
655	#121	C₂³×C₁₉	1	4	yes	—
656	#121	C₂³×C₁₉	1	4	yes	—
657	#121	C₂³×C₁₉	1	16	yes	—
658	#121	C₂³×C₁₉	1	16	yes	—
659	#121	C₂³×C₁₉	1	16	yes	—
660	#121	C₂³×C₁₉	1	8	yes	—
661	#121	C₂³×C₁₉	1	8	yes	—
662	#121	C₂³×C₁₉	1	16	yes	—
663	#121	C₂³×C₁₉	1	8	yes	—
664	#121	C₂³×C₁₉	1	16	yes	—
665	#121	C₂³×C₁₉	1	8	yes	—
666	#121	C₂³×C₁₉	1	8	yes	—
667	#121	C₂³×C₁₉	1	16	yes	—
668	#121	C₂³×C₁₉	1	4	yes	—
669	#121	C₂³×C₁₉	1	8	yes	—
670	#121	C₂³×C₁₉	1	8	yes	—
671	#121	C₂³×C₁₉	1	8	yes	—
672	#121	C₂³×C₁₉	1	8	yes	—
673	#121	C₂³×C₁₉	1	8	yes	—
674	#121	C₂³×C₁₉	1	8	yes	—
675	#121	C₂³×C₁₉	1	8	yes	—
676	#121	C₂³×C₁₉	1	16	yes	—
677	#121	C₂³×C₁₉	1	16	yes	—
678	#121	C₂³×C₁₉	1	16	yes	—
679	#121	C₂³×C₁₉	1	16	yes	—
680	#121	C₂³×C₁₉	1	16	yes	—
681	#121	C₂³×C₁₉	1	16	yes	—
682	#121	C₂³×C₁₉	1	16	yes	—
683	#121	C₂³×C₁₉	1	16	yes	—
684	#120	C₂³×C₁₉	1	8	yes	—
685	#120	C₂³×C₁₉	1	8	yes	—
686	#120	C₂³×C₁₉	1	16	yes	—
687	#120	C₂³×C₁₉	1	16	yes	—
688	#120	C₂³×C₁₉	1	4	yes	—
689	#120	C₂³×C₁₉	1	16	yes	—
690	#120	C₂³×C₁₉	1	16	yes	—
691	#120	C₂³×C₁₉	1	16	yes	—
692	#120	C₂³×C₁₉	1	16	yes	—
693	#120	C₂³×C₁₉	1	16	yes	—
694	#120	C₂³×C₁₉	1	16	yes	—
695	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
696	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
697	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
698	C₄×D₄	C₂³×C₁₉	1	4	yes	—
699	C₄×D₄	C₂³×C₁₉	1	4	yes	—
700	C₄×D₄	C₂³×C₁₉	1	4	yes	—
701	C₄×D₄	C₂³×C₁₉	1	4	yes	—
702	C₄×D₄	C₂³×C₁₉	1	8	yes	—
703	C₄×D₄	C₂³×C₁₉	1	4	yes	—
704	C₄×D₄	C₂³×C₁₉	1	16	yes	—
705	C₄×D₄	C₂³×C₁₉	1	8	yes	—
706	C₄×D₄	C₂³×C₁₉	1	4	yes	—
707	C₄×D₄	C₂³×C₁₉	1	8	yes	—
708	C₄×D₄	C₂³×C₁₉	1	4	yes	—
709	C₄×D₄	C₂³×C₁₉	1	8	yes	—
710	C₄×D₄	C₂³×C₁₉	1	16	yes	—
711	C₄×D₄	C₂³×C₁₉	1	16	yes	—
712	C₄×D₄	C₂³×C₁₉	1	16	yes	—
713	C₄×D₄	C₂³×C₁₉	1	4	yes	—
714	C₄×D₄	C₂³×C₁₉	1	16	yes	—
715	C₄×D₄	C₂³×C₁₉	1	16	yes	—
716	#117	C₂³×C₁₉	1	2	yes	—
717	#117	C₂³×C₁₉	1	2	yes	—
718	#117	C₂³×C₁₉	1	4	yes	—
719	#117	C₂³×C₁₉	1	2	yes	—
720	#117	C₂³×C₁₉	1	4	yes	—
721	#117	C₂³×C₁₉	1	8	yes	—
722	#117	C₂³×C₁₉	1	8	yes	—
723	#117	C₂³×C₁₉	1	16	yes	—
724	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
725	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
726	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
727	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
728	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₁₉	1	16	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₁₉	1	16	yes	—
734	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
735	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
736	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
737	C₁₉	#62880	1	1	yes	characteristic, direct product factor, Sylow
738	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
739	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
740	C₂⁴	C₂⁴×C₁₉	1	16	yes	—
741	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
742	#41	—	2	16	no	—
743	#41	—	2	8	no	—
744	#41	—	4	8	no	—
745	#41	—	4	8	no	—
746	#41	—	4	8	no	—
747	#41	—	4	16	no	—
748	#41	—	4	16	no	—
749	#41	—	8	8	no	—
750	C₂×Q₈	—	4	4	no	—
751	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
752	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
753	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
754	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
755	C₂×D₄	—	2	8	no	—
756	C₂×D₄	—	4	4	no	—
757	C₂×D₄	—	4	16	no	—
758	C₂×D₄	—	4	16	no	—
759	C₂×D₄	—	4	8	no	—
760	C₂×D₄	—	4	32	no	—
761	C₂×D₄	—	8	4	no	—
762	C₂×D₄	—	8	8	no	—
763	C₂×D₄	—	8	4	no	—
764	C₂×D₄	—	8	16	no	—
765	C₂×D₄	—	8	16	no	—
766	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
767	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
768	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
769	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
770	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
771	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
772	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
773	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
774	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
775	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
776	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
777	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
778	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
779	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
780	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
781	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
782	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
783	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
784	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
785	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	4	8	no	—
788	C₂²×C₄	—	8	4	no	—
789	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
790	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
791	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
792	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
794	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
797	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
798	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
799	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
800	C₂²×C₄	C₂⁴×C₁₉	1	16	yes	—
801	C₂²×C₄	C₂⁴×C₁₉	1	16	yes	—
802	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
803	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
804	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
805	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
806	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
807	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
808	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
809	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
810	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
811	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
812	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
813	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
814	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
815	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
816	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
817	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
818	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
819	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
820	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
821	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
822	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
823	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
824	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
825	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
826	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
827	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
828	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
829	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
830	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
831	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
832	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
833	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
834	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
835	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
836	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
837	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
838	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
839	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
840	C₄²	C₂⁴×C₁₉	1	2	yes	—
841	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
842	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
843	C₄²	C₂⁴×C₁₉	1	2	yes	—
844	C₄²	C₂⁴×C₁₉	1	2	yes	—
845	C₄²	C₂⁴×C₁₉	1	4	yes	—
846	C₄²	C₂⁴×C₁₉	1	8	yes	—
847	C₄²	C₂⁴×C₁₉	1	16	yes	—
848	C₂³	—	2	2	no	—
849	C₂³	—	2	8	no	—
850	C₂³	—	4	4	no	—
851	C₂³	—	4	4	no	—
852	C₂³	—	4	2	no	—
853	C₂³	—	4	4	no	—
854	C₂³	—	4	8	no	—
855	C₂³	—	4	16	no	—
856	C₂³	—	4	16	no	—
857	C₂³	—	4	16	no	—
858	C₂³	C₂⁵×C₁₉	1	4	yes	—
859	C₂³	C₂⁵×C₁₉	1	2	yes	—
860	C₂³	C₂⁵×C₁₉	1	8	yes	—
861	C₂³	C₂⁵×C₁₉	1	8	yes	—
862	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
863	Q₈	—	2	8	no	—
864	Q₈	—	2	4	no	—
865	Q₈	—	4	4	no	—
866	Q₈	—	4	4	no	—
867	D₄	—	2	8	no	—
868	D₄	—	2	16	no	—
869	D₄	—	2	8	no	—
870	D₄	—	2	8	no	—
871	D₄	—	2	4	no	—
872	D₄	—	2	8	no	—
873	D₄	—	4	16	no	—
874	D₄	—	4	16	no	—
875	D₄	—	4	4	no	—
876	D₄	—	4	8	no	—
877	D₄	—	4	4	no	—
878	D₄	—	4	16	no	—
879	D₄	—	4	4	no	—
880	D₄	—	4	16	no	—
881	D₄	—	4	16	no	—
882	D₄	—	4	8	no	—
883	D₄	—	4	8	no	—
884	D₄	—	4	16	no	—
885	D₄	—	4	16	no	—
886	D₄	—	4	4	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	4	no	—
889	C₂×C₄	—	2	4	no	—
890	C₂×C₄	—	2	16	no	—
891	C₂×C₄	—	2	8	no	—
892	C₂×C₄	—	4	4	no	—
893	C₂×C₄	—	4	8	no	—
894	C₂×C₄	—	4	2	no	—
895	C₂×C₄	—	4	4	no	—
896	C₂×C₄	—	4	8	no	—
897	C₂×C₄	—	4	8	no	—
898	C₂×C₄	—	4	16	no	—
899	C₂×C₄	—	4	2	no	—
900	C₂×C₄	—	4	8	no	—
901	C₂×C₄	—	4	16	no	—
902	C₂×C₄	C₁₉×H(5,𝔽₂)	1	4	yes	—
903	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
904	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
905	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
906	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
907	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
908	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
909	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
910	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
911	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
912	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
913	C₂²	—	2	2	no	—
914	C₂²	—	2	2	no	—
915	C₂²	—	2	8	no	—
916	C₂²	—	2	4	no	—
917	C₂²	—	2	8	no	—
918	C₂²	—	2	8	no	—
919	C₂²	—	2	8	no	—
920	C₂²	—	2	8	no	—
921	C₂²	—	2	4	no	—
922	C₂²	—	2	8	no	—
923	C₂²	—	2	8	no	—
924	C₂²	—	8	2	no	—
925	C₂²	—	8	8	no	—
926	C₂²	—	8	8	no	—
927	C₂²	—	16	16	no	—
928	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
929	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
930	C₄	—	2	2	no	—
931	C₄	—	2	4	no	—
932	C₄	—	2	8	no	—
933	C₄	—	2	2	no	—
934	C₄	—	2	8	no	—
935	C₄	—	2	2	no	—
936	C₄	—	2	4	no	—
937	C₄	—	2	8	no	—
938	C₄	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
939	C₄	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
940	C₂	—	2	2	no	—
941	C₂	—	4	2	no	—
942	C₂	—	4	8	no	—
943	C₂	—	4	8	no	—
944	C₂	—	4	4	no	—
945	C₂	C₂²×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
946	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×#3562	C₂	semidirect
2. C₁₉×#3543	C₂	semidirect
3. C₁₉×#3542	C₂	semidirect
4. C₁₉×#3539	C₂	semidirect
5. C₁₉×#3537	C₂	semidirect
6. C₁₉×#3537	C₂	semidirect
7. C₁₉×#3534	C₂	semidirect
8. C₁₉×#3512	C₂	semidirect
9. C₁₉×#3506	C₂	semidirect
10. C₁₉×#3498	C₂	semidirect
11. C₁₉×#3496	C₂	semidirect
12. C₁₉×#3488	C₂	semidirect
13. C₁₉×#3455	C₂	semidirect
14. C₂×C₁₉×#540	C₂	semidirect
15. C₁₉×#3449	C₂	semidirect
16. C₂×C₁₉×H(5,𝔽₂)	C₂²	semidirect
17. C₂²×#41×C₁₉	C₂²	semidirect
18. C₁₉×#562	C₂²	semidirect
19. C₁₉×#560	C₂²	semidirect
20. C₁₉×#560	C₂²	semidirect
21. C₁₉×#560	C₂²	semidirect
22. C₁₉×#559	C₂²	semidirect
23. C₁₉×#556	C₂²	semidirect
24. C₁₉×#555	C₂²	semidirect
25. C₁₉×#553	C₂²	semidirect
26. C₁₉×#553	C₂²	semidirect
27. C₁₉×#553	C₂²	semidirect
28. C₁₉×#553	C₂²	semidirect
29. C₁₉×#552	C₂²	semidirect
30. C₁₉×#551	C₂²	semidirect
31. C₁₉×#550	C₂²	semidirect
32. C₁₉×#550	C₂²	semidirect
33. C₁₉×#550	C₂²	semidirect
34. C₁₉×#548	C₂²	semidirect
35. C₁₉×#547	C₂²	semidirect
36. C₁₉×#547	C₂²	semidirect
37. C₁₉×#547	C₂²	semidirect
38. C₁₉×#546	C₂²	semidirect
39. C₁₉×#546	C₂²	semidirect
40. C₁₉×#546	C₂²	semidirect
41. C₁₉×#546	C₂²	semidirect
42. C₁₉×#546	C₂²	semidirect
43. D₄²×C₁₉	C₂²	semidirect
44. D₄²×C₁₉	C₂²	semidirect
45. D₄²×C₁₉	C₂²	semidirect
46. D₄²×C₁₉	C₂²	semidirect
47. D₄²×C₁₉	C₂²	semidirect
48. D₄²×C₁₉	C₂²	semidirect
49. D₄²×C₁₉	C₂²	semidirect
50. C₁₉×#542	C₂²	semidirect
51. C₁₉×#541	C₂²	semidirect
52. C₁₉×#541	C₂²	semidirect
53. C₁₉×#540	C₂²	semidirect
54. C₁₉×#540	C₂²	semidirect
55. C₁₉×#540	C₂²	semidirect
56. C₁₉×#540	C₂²	semidirect
57. C₁₉×#540	C₂²	semidirect
58. C₁₉×#540	C₂²	semidirect
59. C₁₉×#540	C₂²	semidirect
60. C₁₉×#539	C₂²	semidirect
61. C₁₉×#539	C₂²	semidirect
62. C₁₉×#538	C₂²	semidirect
63. C₁₉×#538	C₂²	semidirect
64. C₁₉×#538	C₂²	semidirect
65. C₁₉×#538	C₂²	semidirect
66. C₁₉×#537	C₂²	semidirect
67. C₁₉×#537	C₂²	semidirect
68. C₁₉×#537	C₂²	semidirect
69. C₁₉×#536	C₂²	semidirect
70. C₁₉×#535	C₂²	semidirect
71. C₁₉×#535	C₂²	semidirect
72. C₁₉×#535	C₂²	semidirect
73. C₁₉×#535	C₂²	semidirect
74. C₁₉×#535	C₂²	semidirect
75. C₁₉×#534	C₂²	semidirect
76. C₁₉×#534	C₂²	semidirect
77. C₁₉×#534	C₂²	semidirect
78. C₁₉×#534	C₂²	semidirect
79. C₁₉×#533	C₂²	semidirect
80. C₁₉×#532	C₂²	semidirect
81. C₁₉×#532	C₂²	semidirect
82. C₁₉×#532	C₂²	semidirect
83. C₁₉×#532	C₂²	semidirect
84. C₂×C₁₉×#127	C₂²	semidirect
85. C₂×C₁₉×#127	C₂²	semidirect
86. C₁₉×#529	C₂²	semidirect
87. C₁₉×#529	C₂²	semidirect
88. C₂×C₁₉×#125	C₂²	semidirect
89. C₁₉×#525	C₂²	semidirect
90. C₁₉×#525	C₂²	semidirect
91. C₁₉×#525	C₂²	semidirect
92. C₁₉×#525	C₂²	semidirect
93. C₁₉×#525	C₂²	semidirect
94. C₂×C₁₉×#123	C₂²	semidirect
95. C₂×C₁₉×#121	C₂²	semidirect
96. C₂×C₁₉×#121	C₂²	semidirect
97. C₂×C₁₉×#121	C₂²	semidirect
98. C₂×C₁₉×#121	C₂²	semidirect
99. C₁₉×#520	C₂²	semidirect
100. C₄×#41×C₁₉	C₂²	semidirect
101. C₂×C₄×D₄×C₁₉	C₂²	semidirect
102. C₂×C₁₉×#117	C₂²	semidirect
374. #62880	C₁₉	direct (N × H)
440. #3562	C₂×C₁₉	semidirect
441. #3543	C₂×C₁₉	semidirect
442. #3542	C₂×C₁₉	semidirect
443. #3539	C₂×C₁₉	semidirect
444. #3537	C₂×C₁₉	semidirect
445. #3537	C₂×C₁₉	semidirect
446. #3534	C₂×C₁₉	semidirect
447. #3512	C₂×C₁₉	semidirect
448. #3506	C₂×C₁₉	semidirect
449. #3498	C₂×C₁₉	semidirect
450. #3496	C₂×C₁₉	semidirect
451. #3488	C₂×C₁₉	semidirect
452. #3455	C₂×C₁₉	semidirect
453. C₂×#540	C₂×C₁₉	semidirect
454. #3449	C₂×C₁₉	semidirect
482. C₂×H(5,𝔽₂)	C₂²×C₁₉	semidirect
483. C₂²×#41	C₂²×C₁₉	semidirect
484. #562	C₂²×C₁₉	semidirect
485. #560	C₂²×C₁₉	semidirect
486. #560	C₂²×C₁₉	semidirect
487. #560	C₂²×C₁₉	semidirect
488. #559	C₂²×C₁₉	semidirect
489. #556	C₂²×C₁₉	semidirect
490. #555	C₂²×C₁₉	semidirect
491. #553	C₂²×C₁₉	semidirect
492. #553	C₂²×C₁₉	semidirect
493. #553	C₂²×C₁₉	semidirect
494. #553	C₂²×C₁₉	semidirect
495. #552	C₂²×C₁₉	semidirect
496. #551	C₂²×C₁₉	semidirect
497. #550	C₂²×C₁₉	semidirect
498. #550	C₂²×C₁₉	semidirect
499. #550	C₂²×C₁₉	semidirect
500. #548	C₂²×C₁₉	semidirect
501. #547	C₂²×C₁₉	semidirect
502. #547	C₂²×C₁₉	semidirect
503. #547	C₂²×C₁₉	semidirect
504. #546	C₂²×C₁₉	semidirect
505. #546	C₂²×C₁₉	semidirect
506. #546	C₂²×C₁₉	semidirect
507. #546	C₂²×C₁₉	semidirect
508. #546	C₂²×C₁₉	semidirect
509. D₄²	C₂²×C₁₉	semidirect
510. D₄²	C₂²×C₁₉	semidirect
511. D₄²	C₂²×C₁₉	semidirect
512. D₄²	C₂²×C₁₉	semidirect
513. D₄²	C₂²×C₁₉	semidirect
514. D₄²	C₂²×C₁₉	semidirect
515. D₄²	C₂²×C₁₉	semidirect
516. #542	C₂²×C₁₉	semidirect
517. #541	C₂²×C₁₉	semidirect
518. #541	C₂²×C₁₉	semidirect
519. #540	C₂²×C₁₉	semidirect
520. #540	C₂²×C₁₉	semidirect
521. #540	C₂²×C₁₉	semidirect
522. #540	C₂²×C₁₉	semidirect
523. #540	C₂²×C₁₉	semidirect
524. #540	C₂²×C₁₉	semidirect
525. #540	C₂²×C₁₉	semidirect
526. #539	C₂²×C₁₉	semidirect
527. #539	C₂²×C₁₉	semidirect
528. #538	C₂²×C₁₉	semidirect
529. #538	C₂²×C₁₉	semidirect
530. #538	C₂²×C₁₉	semidirect
531. #538	C₂²×C₁₉	semidirect
532. #537	C₂²×C₁₉	semidirect
533. #537	C₂²×C₁₉	semidirect
534. #537	C₂²×C₁₉	semidirect
535. #536	C₂²×C₁₉	semidirect
536. #535	C₂²×C₁₉	semidirect
537. #535	C₂²×C₁₉	semidirect
538. #535	C₂²×C₁₉	semidirect
539. #535	C₂²×C₁₉	semidirect
540. #535	C₂²×C₁₉	semidirect
541. #534	C₂²×C₁₉	semidirect
542. #534	C₂²×C₁₉	semidirect
543. #534	C₂²×C₁₉	semidirect
544. #534	C₂²×C₁₉	semidirect
545. #533	C₂²×C₁₉	semidirect
546. #532	C₂²×C₁₉	semidirect
547. #532	C₂²×C₁₉	semidirect
548. #532	C₂²×C₁₉	semidirect
549. #532	C₂²×C₁₉	semidirect
550. C₂×#127	C₂²×C₁₉	semidirect
551. C₂×#127	C₂²×C₁₉	semidirect
552. #529	C₂²×C₁₉	semidirect
553. #529	C₂²×C₁₉	semidirect
554. C₂×#125	C₂²×C₁₉	semidirect
555. #525	C₂²×C₁₉	semidirect
556. #525	C₂²×C₁₉	semidirect
557. #525	C₂²×C₁₉	semidirect
558. #525	C₂²×C₁₉	semidirect
559. #525	C₂²×C₁₉	semidirect
560. C₂×#123	C₂²×C₁₉	semidirect
561. C₂×#121	C₂²×C₁₉	semidirect
562. C₂×#121	C₂²×C₁₉	semidirect
563. C₂×#121	C₂²×C₁₉	semidirect
564. C₂×#121	C₂²×C₁₉	semidirect
565. #520	C₂²×C₁₉	semidirect
566. C₄×#41	C₂²×C₁₉	semidirect
567. C₂×C₄×D₄	C₂²×C₁₉	semidirect
568. C₂×#117	C₂²×C₁₉	semidirect
737. C₁₉	#62880	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×#3562	2
C₁₉×#3543	2
C₁₉×#3542	2
C₁₉×#3539	2
C₁₉×#3537	2
C₁₉×#3534	2
C₁₉×#3512	2
C₁₉×#3506	2
C₁₉×#3498	2
C₁₉×#3496	2
C₁₉×#3488	2
C₁₉×#3455	2
C₂×C₁₉×#540	2
C₁₉×#3449	2
#62880	19

Subgroups — C19×#62880 #18068839

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62880 #18068839