Subgroups — C₁₉×#62887 #18068846

Order 4864.

6910 conjugacy classes of subgroups.

The subgroup lattice has 966 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×#3561	C₂	1	8	yes	maximal, complemented
3	C₁₉×#3554	C₂	1	8	yes	maximal, complemented
4	C₁₉×#3552	C₂	1	8	yes	maximal, complemented
5	C₁₉×#3535	C₂	1	8	yes	maximal, complemented
6	C₁₉×#3533	C₂	1	8	yes	maximal, complemented
7	C₁₉×#3510	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3509	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3500	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3499	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3487	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3486	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3485	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3455	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₉×#536	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	2	yes	—
17	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
18	C₂×C₁₉×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
19	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
20	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₁₉×#563	C₂²	1	8	yes	complemented
22	C₁₉×#563	C₂²	1	16	yes	complemented
23	C₁₉×#562	C₂²	1	16	yes	complemented
24	C₁₉×#562	C₂²	1	16	yes	complemented
25	C₁₉×#560	C₂²	1	8	yes	complemented
26	C₁₉×#559	C₂²	1	8	yes	complemented
27	C₁₉×#559	C₂²	1	8	yes	complemented
28	C₁₉×#557	C₂²	1	8	yes	complemented
29	C₁₉×#556	C₂²	1	8	yes	complemented
30	C₁₉×#556	C₂²	1	8	yes	complemented
31	C₁₉×#554	C₂²	1	16	yes	complemented
32	C₁₉×#553	C₂²	1	16	yes	complemented
33	C₁₉×#552	C₂²	1	16	yes	complemented
34	C₁₉×#551	C₂²	1	16	yes	complemented
35	C₁₉×#551	C₂²	1	8	yes	complemented
36	C₁₉×#551	C₂²	1	16	yes	complemented
37	C₁₉×#550	C₂²	1	8	yes	complemented
38	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
39	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
40	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
41	C₁₉×#548	C₂²	1	8	yes	complemented
42	C₁₉×#548	C₂²	1	8	yes	complemented
43	C₁₉×#548	C₂²	1	8	yes	complemented
44	C₁₉×#548	C₂²	1	8	yes	complemented
45	C₁₉×#547	C₂²	1	8	yes	—
46	C₁₉×#547	C₂²	1	16	yes	complemented
47	C₁₉×#547	C₂²	1	8	yes	complemented
48	C₁₉×#546	C₂²	1	8	yes	—
49	C₁₉×#546	C₂²	1	16	yes	—
50	C₁₉×#546	C₂²	1	8	yes	complemented
51	C₁₉×#544	C₂²	1	8	yes	complemented
52	C₁₉×#543	C₂²	1	8	yes	complemented
53	C₁₉×#542	C₂²	1	4	yes	complemented
54	C₁₉×#542	C₂²	1	4	yes	complemented
55	C₁₉×#542	C₂²	1	8	yes	complemented
56	C₁₉×#542	C₂²	1	16	yes	complemented
57	C₁₉×#542	C₂²	1	16	yes	complemented
58	C₁₉×#541	C₂²	1	4	yes	complemented
59	C₁₉×#541	C₂²	1	8	yes	complemented
60	C₁₉×#540	C₂²	1	4	yes	complemented
61	C₁₉×#540	C₂²	1	16	yes	complemented
62	C₁₉×#539	C₂²	1	8	yes	complemented
63	C₁₉×#539	C₂²	1	16	yes	complemented
64	C₁₉×#539	C₂²	1	16	yes	complemented
65	C₁₉×#539	C₂²	1	8	yes	complemented
66	C₁₉×#538	C₂²	1	8	yes	complemented
67	C₁₉×#538	C₂²	1	16	yes	complemented
68	C₁₉×#538	C₂²	1	8	yes	complemented
69	C₁₉×#536	C₂²	1	2	yes	—
70	C₁₉×#536	C₂²	1	2	yes	—
71	C₁₉×#536	C₂²	1	8	yes	complemented
72	C₁₉×#536	C₂²	1	8	yes	complemented
73	C₁₉×#536	C₂²	1	2	yes	complemented
74	C₁₉×#536	C₂²	1	8	yes	complemented
75	C₁₉×#536	C₂²	1	4	yes	complemented
76	C₁₉×#536	C₂²	1	4	yes	complemented
77	C₁₉×#536	C₂²	1	4	yes	complemented
78	C₁₉×#535	C₂²	1	2	yes	—
79	C₁₉×#535	C₂²	1	4	yes	complemented
80	C₁₉×#535	C₂²	1	4	yes	complemented
81	C₁₉×#534	C₂²	1	4	yes	—
82	C₁₉×#533	C₂²	1	2	yes	complemented
83	C₁₉×#533	C₂²	1	8	yes	complemented
84	C₁₉×#532	C₂²	1	2	yes	—
85	C₁₉×#532	C₂²	1	4	yes	complemented
86	C₁₉×#532	C₂²	1	4	yes	complemented
87	C₂×C₁₉×C₄⋊Q₈	C₂²	1	2	yes	complemented
88	C₂×C₁₉×C₄⋊Q₈	C₂²	1	4	yes	complemented
89	C₁₉×#529	C₂²	1	8	yes	complemented
90	C₁₉×#529	C₂²	1	8	yes	complemented
91	C₁₉×#529	C₂²	1	8	yes	complemented
92	C₂×C₁₉×#124	C₂²	1	2	yes	—
93	C₂×C₁₉×#124	C₂²	1	4	yes	complemented
94	C₁₉×#525	C₂²	1	2	yes	—
95	C₁₉×#525	C₂²	1	2	yes	complemented
96	C₁₉×#525	C₂²	1	8	yes	complemented
97	C₁₉×#525	C₂²	1	4	yes	complemented
98	C₂×C₁₉×#123	C₂²	1	4	yes	—
99	C₂×C₁₉×#123	C₂²	1	4	yes	complemented
100	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	complemented
101	C₁₉×#519	C₂²	1	2	yes	complemented
102	C₁₉×#519	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#518	C₂²	1	1	yes	characteristic
104	C₄×#41×C₁₉	C₂²	1	2	yes	—
105	C₄×#41×C₁₉	C₂²	1	2	yes	complemented
106	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
107	C₁₉×2₋¹⁺⁴	—	4	8	no	—
108	C₁₉×2₋¹⁺⁴	—	4	4	no	—
109	C₁₉×H(5,𝔽₂)	—	4	4	no	—
110	C₂×#41×C₁₉	—	4	4	no	—
111	C₂×#41×C₁₉	C₂³	1	2	yes	—
112	C₂×#41×C₁₉	C₂³	1	2	yes	—
113	C₂×#41×C₁₉	C₂³	1	4	yes	—
114	C₂×#41×C₁₉	C₂³	1	8	yes	—
115	C₂×#41×C₁₉	C₂³	1	4	yes	—
116	C₂×#41×C₁₉	C₂³	1	4	yes	—
117	C₂×#41×C₁₉	C₂³	1	4	yes	—
118	C₂×#41×C₁₉	C₂³	1	4	yes	—
119	C₂×#41×C₁₉	C₂³	1	8	yes	—
120	C₂²×Q₈×C₁₉	—	4	4	no	—
121	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
122	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
123	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
125	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
126	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
127	C₂²×Q₈×C₁₉	C₂³	1	8	yes	—
128	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
130	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
131	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
132	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
135	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
136	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
137	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
138	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
139	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
140	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
141	C₁₉×C₄⋊Q₈	C₂³	1	16	yes	—
142	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
143	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
144	C₁₉×C₄⋊Q₈	C₂³	1	16	yes	—
145	C₁₉×#127	C₂³	1	2	yes	—
146	C₁₉×#127	C₂³	1	4	yes	—
147	C₁₉×#127	C₂³	1	8	yes	—
148	C₁₉×#126	C₂³	1	8	yes	—
149	C₁₉×#126	C₂³	1	16	yes	—
150	C₁₉×#126	C₂³	1	8	yes	—
151	C₁₉×#126	C₂³	1	8	yes	—
152	C₁₉×#126	C₂³	1	8	yes	—
153	C₁₉×#126	C₂³	1	16	yes	—
154	C₁₉×#126	C₂³	1	16	yes	—
155	C₁₉×#126	C₂³	1	16	yes	—
156	C₁₉×#125	C₂³	1	4	yes	—
157	C₁₉×#125	C₂³	1	8	yes	—
158	C₁₉×#125	C₂³	1	8	yes	—
159	C₁₉×#125	C₂³	1	16	yes	—
160	C₁₉×#125	C₂³	1	16	yes	—
161	C₁₉×#125	C₂³	1	16	yes	—
162	C₁₉×#124	C₂³	1	4	yes	—
163	C₁₉×#124	C₂³	1	4	yes	—
164	C₁₉×#124	C₂³	1	8	yes	—
165	C₁₉×#124	C₂³	1	2	yes	—
166	C₁₉×#124	C₂³	1	4	yes	—
167	C₁₉×#124	C₂³	1	4	yes	—
168	C₁₉×#124	C₂³	1	16	yes	—
169	C₁₉×#124	C₂³	1	8	yes	—
170	C₁₉×#124	C₂³	1	8	yes	—
171	C₁₉×#124	C₂³	1	2	yes	—
172	C₁₉×#124	C₂³	1	4	yes	—
173	C₁₉×#124	C₂³	1	4	yes	—
174	C₁₉×#124	C₂³	1	8	yes	—
175	C₁₉×#124	C₂³	1	16	yes	—
176	C₁₉×#124	C₂³	1	16	yes	—
177	C₁₉×#123	C₂³	1	4	yes	—
178	C₁₉×#123	C₂³	1	8	yes	—
179	C₁₉×#123	C₂³	1	16	yes	—
180	C₁₉×#123	C₂³	1	16	yes	—
181	C₁₉×#123	C₂³	1	8	yes	—
182	C₁₉×#123	C₂³	1	8	yes	—
183	C₁₉×#123	C₂³	1	4	yes	—
184	C₁₉×#123	C₂³	1	8	yes	—
185	C₁₉×#123	C₂³	1	8	yes	—
186	C₁₉×#123	C₂³	1	8	yes	—
187	C₁₉×#123	C₂³	1	8	yes	—
188	C₁₉×#123	C₂³	1	8	yes	—
189	C₁₉×#123	C₂³	1	16	yes	—
190	C₁₉×#123	C₂³	1	8	yes	—
191	C₁₉×#123	C₂³	1	8	yes	—
192	C₁₉×#123	C₂³	1	16	yes	—
193	C₁₉×#123	C₂³	1	16	yes	—
194	C₁₉×#123	C₂³	1	16	yes	—
195	C₁₉×#123	C₂³	1	16	yes	—
196	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
197	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
198	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
199	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
201	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
202	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
203	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
204	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
205	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
206	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
207	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
208	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
209	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
210	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
211	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
212	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
213	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
214	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
215	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
216	C₁₉×#121	C₂³	1	4	yes	—
217	C₁₉×#121	C₂³	1	8	yes	—
218	C₁₉×#121	C₂³	1	16	yes	—
219	C₁₉×#121	C₂³	1	4	yes	—
220	C₁₉×#121	C₂³	1	8	yes	—
221	C₁₉×#121	C₂³	1	8	yes	—
222	C₁₉×#121	C₂³	1	8	yes	—
223	C₁₉×#121	C₂³	1	8	yes	—
224	C₁₉×#121	C₂³	1	16	yes	—
225	C₁₉×#121	C₂³	1	16	yes	—
226	C₁₉×#121	C₂³	1	16	yes	—
227	C₁₉×#121	C₂³	1	16	yes	—
228	C₁₉×#121	C₂³	1	16	yes	—
229	C₁₉×#120	C₂³	1	4	yes	—
230	C₁₉×#120	C₂³	1	4	yes	—
231	C₁₉×#120	C₂³	1	8	yes	—
232	C₁₉×#120	C₂³	1	8	yes	—
233	C₁₉×#120	C₂³	1	16	yes	—
234	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
235	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
236	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
237	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
238	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
239	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
240	C₄×Q₈×C₁₉	C₂³	1	16	yes	—
241	C₄×D₄×C₁₉	C₂³	1	8	yes	—
242	C₄×D₄×C₁₉	C₂³	1	4	yes	—
243	C₄×D₄×C₁₉	C₂³	1	8	yes	—
244	C₄×D₄×C₁₉	C₂³	1	4	yes	—
245	C₄×D₄×C₁₉	C₂³	1	8	yes	—
246	C₄×D₄×C₁₉	C₂³	1	8	yes	—
247	C₄×D₄×C₁₉	C₂³	1	8	yes	—
248	C₄×D₄×C₁₉	C₂³	1	16	yes	—
249	C₄×D₄×C₁₉	C₂³	1	16	yes	—
250	C₄×D₄×C₁₉	C₂³	1	16	yes	—
251	C₄×D₄×C₁₉	C₂³	1	8	yes	—
252	C₄×D₄×C₁₉	C₂³	1	16	yes	—
253	C₄×D₄×C₁₉	C₂³	1	16	yes	—
254	C₄×D₄×C₁₉	C₂³	1	16	yes	—
255	C₁₉×#117	C₂³	1	4	yes	—
256	C₁₉×#117	C₂³	1	4	yes	—
257	C₁₉×#117	C₂³	1	2	yes	—
258	C₁₉×#117	C₂³	1	4	yes	—
259	C₁₉×#117	C₂³	1	2	yes	—
260	C₁₉×#117	C₂³	1	4	yes	—
261	C₁₉×#117	C₂³	1	4	yes	—
262	C₁₉×#117	C₂³	1	8	yes	—
263	C₁₉×#117	C₂³	1	16	yes	—
264	C₁₉×#117	C₂³	1	16	yes	—
265	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
266	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
267	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
268	C₂×C₄⋊C₄×C₁₉	C₂³	1	16	yes	—
269	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
270	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
271	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
272	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
273	C₂×C₂²⋊C₄×C₁₉	C₂³	1	16	yes	—
274	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
275	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
276	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
277	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
278	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
279	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
280	#41×C₁₉	—	2	8	no	—
281	#41×C₁₉	—	2	8	no	—
282	#41×C₁₉	—	4	8	no	—
283	#41×C₁₉	—	4	16	no	—
284	#41×C₁₉	—	4	16	no	—
285	#41×C₁₉	—	4	8	no	—
286	#41×C₁₉	—	4	8	no	—
287	#41×C₁₉	—	4	8	no	—
288	#41×C₁₉	—	4	8	no	—
289	C₂×Q₈×C₁₉	—	2	8	no	—
290	C₂×Q₈×C₁₉	—	2	4	no	—
291	C₂×Q₈×C₁₉	—	4	4	no	—
292	C₂×Q₈×C₁₉	—	4	16	no	—
293	C₂×Q₈×C₁₉	—	4	8	no	—
294	C₂×Q₈×C₁₉	—	4	8	no	—
295	C₂×Q₈×C₁₉	—	4	8	no	—
296	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
297	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
298	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
299	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
300	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
301	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
302	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
303	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
304	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
305	C₂×D₄×C₁₉	—	2	4	no	—
306	C₂×D₄×C₁₉	—	4	8	no	—
307	C₂×D₄×C₁₉	—	4	4	no	—
308	C₂×D₄×C₁₉	—	4	8	no	—
309	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
310	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
311	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
312	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
313	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
314	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
315	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
316	C₂×D₄×C₁₉	C₂⁴	1	16	yes	—
317	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
318	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
319	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
320	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
321	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
322	C₂²×C₄×C₁₉	—	2	4	no	—
323	C₂²×C₄×C₁₉	—	4	4	no	—
324	C₂²×C₄×C₁₉	—	4	4	no	—
325	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
326	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
327	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
328	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
331	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
332	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
333	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
334	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
335	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
336	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
337	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
338	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
339	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
340	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
341	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
342	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
343	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
344	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
345	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
346	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
347	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
348	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
349	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
350	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
351	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
352	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
353	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
354	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
355	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
356	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
357	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
358	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
359	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
360	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
361	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
362	C₂²⋊C₄×C₁₉	C₂⁴	1	4	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	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
367	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
368	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
369	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
370	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
371	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
372	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
373	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
374	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
375	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
376	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
377	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
378	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
379	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
380	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
381	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
382	C₄²×C₁₉	C₂⁴	1	2	yes	—
383	C₄²×C₁₉	C₂⁴	1	2	yes	—
384	C₄²×C₁₉	C₂⁴	1	4	yes	—
385	C₄²×C₁₉	C₂⁴	1	4	yes	—
386	C₄²×C₁₉	C₂⁴	1	8	yes	—
387	C₄²×C₁₉	C₂⁴	1	4	yes	—
388	C₄²×C₁₉	C₂⁴	1	8	yes	—
389	C₄²×C₁₉	C₂⁴	1	16	yes	—
390	C₄²×C₁₉	C₂⁴	1	8	yes	—
391	#62887	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
392	C₂³×C₁₉	—	2	2	no	—
393	C₂³×C₁₉	—	2	4	no	—
394	C₂³×C₁₉	—	4	2	no	—
395	C₂³×C₁₉	—	4	4	no	—
396	C₂³×C₁₉	—	4	4	no	—
397	C₂³×C₁₉	—	4	8	no	—
398	C₂³×C₁₉	C₂⁵	1	4	yes	—
399	C₂³×C₁₉	C₂⁵	1	4	yes	—
400	C₂³×C₁₉	C₂⁵	1	2	yes	—
401	C₂³×C₁₉	C₂⁵	1	4	yes	—
402	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
403	Q₈×C₁₉	—	2	8	no	—
404	Q₈×C₁₉	—	2	8	no	—
405	Q₈×C₁₉	—	2	8	no	—
406	Q₈×C₁₉	—	2	4	no	—
407	Q₈×C₁₉	—	2	4	no	—
408	Q₈×C₁₉	—	4	8	no	—
409	Q₈×C₁₉	—	4	8	no	—
410	Q₈×C₁₉	—	4	4	no	—
411	Q₈×C₁₉	—	4	8	no	—
412	D₄×C₁₉	—	2	8	no	—
413	D₄×C₁₉	—	2	8	no	—
414	D₄×C₁₉	—	2	8	no	—
415	D₄×C₁₉	—	2	4	no	—
416	D₄×C₁₉	—	2	4	no	—
417	D₄×C₁₉	—	4	8	no	—
418	D₄×C₁₉	—	4	8	no	—
419	D₄×C₁₉	—	4	8	no	—
420	D₄×C₁₉	—	4	8	no	—
421	D₄×C₁₉	—	4	16	no	—
422	D₄×C₁₉	—	4	8	no	—
423	D₄×C₁₉	—	4	4	no	—
424	D₄×C₁₉	—	4	8	no	—
425	C₂×C₄×C₁₉	—	2	2	no	—
426	C₂×C₄×C₁₉	—	2	4	no	—
427	C₂×C₄×C₁₉	—	2	8	no	—
428	C₂×C₄×C₁₉	—	2	8	no	—
429	C₂×C₄×C₁₉	—	2	8	no	—
430	C₂×C₄×C₁₉	—	2	8	no	—
431	C₂×C₄×C₁₉	—	4	8	no	—
432	C₂×C₄×C₁₉	—	4	8	no	—
433	C₂×C₄×C₁₉	—	4	8	no	—
434	C₂×C₄×C₁₉	—	4	4	no	—
435	C₂×C₄×C₁₉	—	4	8	no	—
436	C₂×C₄×C₁₉	—	4	8	no	—
437	C₂×C₄×C₁₉	—	4	4	no	—
438	C₂×C₄×C₁₉	—	4	8	no	—
439	C₂×C₄×C₁₉	—	4	8	no	—
440	C₂×C₄×C₁₉	—	4	8	no	—
441	C₂×C₄×C₁₉	H(5,𝔽₂)	1	4	yes	—
442	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
443	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
444	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
445	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
446	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
447	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
448	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
449	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
450	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
451	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
452	#3562	C₂×C₁₉	1	8	yes	complemented
453	#3561	C₂×C₁₉	1	8	yes	complemented
454	#3554	C₂×C₁₉	1	8	yes	complemented
455	#3552	C₂×C₁₉	1	8	yes	complemented
456	#3535	C₂×C₁₉	1	8	yes	complemented
457	#3533	C₂×C₁₉	1	8	yes	complemented
458	#3510	C₂×C₁₉	1	2	yes	complemented
459	#3509	C₂×C₁₉	1	2	yes	complemented
460	#3500	C₂×C₁₉	1	2	yes	complemented
461	#3499	C₂×C₁₉	1	2	yes	complemented
462	#3487	C₂×C₁₉	1	1	yes	characteristic, complemented
463	#3486	C₂×C₁₉	1	2	yes	complemented
464	#3485	C₂×C₁₉	1	1	yes	characteristic, complemented
465	#3455	C₂×C₁₉	1	2	yes	complemented
466	C₂×#536	C₂×C₁₉	1	1	yes	characteristic, complemented
467	C₂²×C₁₉	—	2	2	no	—
468	C₂²×C₁₉	—	2	2	no	—
469	C₂²×C₁₉	—	2	4	no	—
470	C₂²×C₁₉	—	2	4	no	—
471	C₂²×C₁₉	—	2	4	no	—
472	C₂²×C₁₉	—	2	8	no	—
473	C₂²×C₁₉	—	2	8	no	—
474	C₂²×C₁₉	—	2	8	no	—
475	C₂²×C₁₉	—	2	4	no	—
476	C₂²×C₁₉	—	4	4	no	—
477	C₂²×C₁₉	—	8	4	no	—
478	C₂²×C₁₉	—	16	4	no	—
479	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
480	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
481	C₄×C₁₉	—	2	2	no	—
482	C₄×C₁₉	—	2	4	no	—
483	C₄×C₁₉	—	2	4	no	—
484	C₄×C₁₉	—	2	4	no	—
485	C₄×C₁₉	—	2	8	no	—
486	C₄×C₁₉	—	2	4	no	—
487	C₄×C₁₉	—	2	8	no	—
488	C₄×C₁₉	—	2	4	no	—
489	C₄×C₁₉	—	2	8	no	—
490	C₄×C₁₉	C₂×H(5,𝔽₂)	1	4	yes	—
491	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	2	yes	—
492	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	1	yes	characteristic, complemented
493	C₂×H(5,𝔽₂)	C₂²×C₁₉	1	1	yes	characteristic
494	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
495	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
496	#563	C₂²×C₁₉	1	8	yes	complemented
497	#563	C₂²×C₁₉	1	16	yes	complemented
498	#562	C₂²×C₁₉	1	16	yes	complemented
499	#562	C₂²×C₁₉	1	16	yes	complemented
500	#560	C₂²×C₁₉	1	8	yes	complemented
501	#559	C₂²×C₁₉	1	8	yes	complemented
502	#559	C₂²×C₁₉	1	8	yes	complemented
503	#557	C₂²×C₁₉	1	8	yes	complemented
504	#556	C₂²×C₁₉	1	8	yes	complemented
505	#556	C₂²×C₁₉	1	8	yes	complemented
506	#554	C₂²×C₁₉	1	16	yes	complemented
507	#553	C₂²×C₁₉	1	16	yes	complemented
508	#552	C₂²×C₁₉	1	16	yes	complemented
509	#551	C₂²×C₁₉	1	16	yes	complemented
510	#551	C₂²×C₁₉	1	8	yes	complemented
511	#551	C₂²×C₁₉	1	16	yes	complemented
512	#550	C₂²×C₁₉	1	8	yes	complemented
513	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
514	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
515	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
516	#548	C₂²×C₁₉	1	8	yes	complemented
517	#548	C₂²×C₁₉	1	8	yes	complemented
518	#548	C₂²×C₁₉	1	8	yes	complemented
519	#548	C₂²×C₁₉	1	8	yes	complemented
520	#547	C₂²×C₁₉	1	8	yes	—
521	#547	C₂²×C₁₉	1	16	yes	complemented
522	#547	C₂²×C₁₉	1	8	yes	complemented
523	#546	C₂²×C₁₉	1	8	yes	—
524	#546	C₂²×C₁₉	1	16	yes	—
525	#546	C₂²×C₁₉	1	8	yes	complemented
526	#544	C₂²×C₁₉	1	8	yes	complemented
527	#543	C₂²×C₁₉	1	8	yes	complemented
528	#542	C₂²×C₁₉	1	4	yes	complemented
529	#542	C₂²×C₁₉	1	4	yes	complemented
530	#542	C₂²×C₁₉	1	8	yes	complemented
531	#542	C₂²×C₁₉	1	16	yes	complemented
532	#542	C₂²×C₁₉	1	16	yes	complemented
533	#541	C₂²×C₁₉	1	4	yes	complemented
534	#541	C₂²×C₁₉	1	8	yes	complemented
535	#540	C₂²×C₁₉	1	4	yes	complemented
536	#540	C₂²×C₁₉	1	16	yes	complemented
537	#539	C₂²×C₁₉	1	8	yes	complemented
538	#539	C₂²×C₁₉	1	16	yes	complemented
539	#539	C₂²×C₁₉	1	16	yes	complemented
540	#539	C₂²×C₁₉	1	8	yes	complemented
541	#538	C₂²×C₁₉	1	8	yes	complemented
542	#538	C₂²×C₁₉	1	16	yes	complemented
543	#538	C₂²×C₁₉	1	8	yes	complemented
544	#536	C₂²×C₁₉	1	2	yes	—
545	#536	C₂²×C₁₉	1	2	yes	—
546	#536	C₂²×C₁₉	1	8	yes	complemented
547	#536	C₂²×C₁₉	1	8	yes	complemented
548	#536	C₂²×C₁₉	1	2	yes	complemented
549	#536	C₂²×C₁₉	1	8	yes	complemented
550	#536	C₂²×C₁₉	1	4	yes	complemented
551	#536	C₂²×C₁₉	1	4	yes	complemented
552	#536	C₂²×C₁₉	1	4	yes	complemented
553	#535	C₂²×C₁₉	1	2	yes	—
554	#535	C₂²×C₁₉	1	4	yes	complemented
555	#535	C₂²×C₁₉	1	4	yes	complemented
556	#534	C₂²×C₁₉	1	4	yes	—
557	#533	C₂²×C₁₉	1	2	yes	complemented
558	#533	C₂²×C₁₉	1	8	yes	complemented
559	#532	C₂²×C₁₉	1	2	yes	—
560	#532	C₂²×C₁₉	1	4	yes	complemented
561	#532	C₂²×C₁₉	1	4	yes	complemented
562	C₂×C₄⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
563	C₂×C₄⋊Q₈	C₂²×C₁₉	1	4	yes	complemented
564	#529	C₂²×C₁₉	1	8	yes	complemented
565	#529	C₂²×C₁₉	1	8	yes	complemented
566	#529	C₂²×C₁₉	1	8	yes	complemented
567	C₂×#124	C₂²×C₁₉	1	2	yes	—
568	C₂×#124	C₂²×C₁₉	1	4	yes	complemented
569	#525	C₂²×C₁₉	1	2	yes	—
570	#525	C₂²×C₁₉	1	2	yes	complemented
571	#525	C₂²×C₁₉	1	8	yes	complemented
572	#525	C₂²×C₁₉	1	4	yes	complemented
573	C₂×#123	C₂²×C₁₉	1	4	yes	—
574	C₂×#123	C₂²×C₁₉	1	4	yes	complemented
575	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	complemented
576	#519	C₂²×C₁₉	1	2	yes	complemented
577	#519	C₂²×C₁₉	1	1	yes	characteristic, complemented
578	#518	C₂²×C₁₉	1	1	yes	characteristic
579	C₄×#41	C₂²×C₁₉	1	2	yes	—
580	C₄×#41	C₂²×C₁₉	1	2	yes	complemented
581	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic, complemented
582	C₂×C₁₉	—	2	2	no	—
583	C₂×C₁₉	—	4	4	no	—
584	C₂×C₁₉	—	4	2	no	—
585	C₂×C₁₉	—	4	4	no	—
586	C₂×C₁₉	—	4	4	no	—
587	C₂×C₁₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
588	C₂×C₁₉	2₋¹⁺⁶	1	2	yes	—
589	2₋¹⁺⁴	—	4	8	no	—
590	2₋¹⁺⁴	—	4	4	no	—
591	H(5,𝔽₂)	—	4	4	no	—
592	C₂×#41	—	4	4	no	—
593	C₂×#41	C₂³×C₁₉	1	2	yes	—
594	C₂×#41	C₂³×C₁₉	1	2	yes	—
595	C₂×#41	C₂³×C₁₉	1	4	yes	—
596	C₂×#41	C₂³×C₁₉	1	8	yes	—
597	C₂×#41	C₂³×C₁₉	1	4	yes	—
598	C₂×#41	C₂³×C₁₉	1	4	yes	—
599	C₂×#41	C₂³×C₁₉	1	4	yes	—
600	C₂×#41	C₂³×C₁₉	1	4	yes	—
601	C₂×#41	C₂³×C₁₉	1	8	yes	—
602	C₂²×Q₈	—	4	4	no	—
603	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
604	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
605	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
606	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
607	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
608	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
609	C₂²×Q₈	C₂³×C₁₉	1	8	yes	—
610	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
611	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
612	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
613	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
614	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
615	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
616	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
617	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
618	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
619	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
620	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
621	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
622	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
623	C₄⋊Q₈	C₂³×C₁₉	1	16	yes	—
624	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
625	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
626	C₄⋊Q₈	C₂³×C₁₉	1	16	yes	—
627	#127	C₂³×C₁₉	1	2	yes	—
628	#127	C₂³×C₁₉	1	4	yes	—
629	#127	C₂³×C₁₉	1	8	yes	—
630	#126	C₂³×C₁₉	1	8	yes	—
631	#126	C₂³×C₁₉	1	16	yes	—
632	#126	C₂³×C₁₉	1	8	yes	—
633	#126	C₂³×C₁₉	1	8	yes	—
634	#126	C₂³×C₁₉	1	8	yes	—
635	#126	C₂³×C₁₉	1	16	yes	—
636	#126	C₂³×C₁₉	1	16	yes	—
637	#126	C₂³×C₁₉	1	16	yes	—
638	#125	C₂³×C₁₉	1	4	yes	—
639	#125	C₂³×C₁₉	1	8	yes	—
640	#125	C₂³×C₁₉	1	8	yes	—
641	#125	C₂³×C₁₉	1	16	yes	—
642	#125	C₂³×C₁₉	1	16	yes	—
643	#125	C₂³×C₁₉	1	16	yes	—
644	#124	C₂³×C₁₉	1	4	yes	—
645	#124	C₂³×C₁₉	1	4	yes	—
646	#124	C₂³×C₁₉	1	8	yes	—
647	#124	C₂³×C₁₉	1	2	yes	—
648	#124	C₂³×C₁₉	1	4	yes	—
649	#124	C₂³×C₁₉	1	4	yes	—
650	#124	C₂³×C₁₉	1	16	yes	—
651	#124	C₂³×C₁₉	1	8	yes	—
652	#124	C₂³×C₁₉	1	8	yes	—
653	#124	C₂³×C₁₉	1	2	yes	—
654	#124	C₂³×C₁₉	1	4	yes	—
655	#124	C₂³×C₁₉	1	4	yes	—
656	#124	C₂³×C₁₉	1	8	yes	—
657	#124	C₂³×C₁₉	1	16	yes	—
658	#124	C₂³×C₁₉	1	16	yes	—
659	#123	C₂³×C₁₉	1	4	yes	—
660	#123	C₂³×C₁₉	1	8	yes	—
661	#123	C₂³×C₁₉	1	16	yes	—
662	#123	C₂³×C₁₉	1	16	yes	—
663	#123	C₂³×C₁₉	1	8	yes	—
664	#123	C₂³×C₁₉	1	8	yes	—
665	#123	C₂³×C₁₉	1	4	yes	—
666	#123	C₂³×C₁₉	1	8	yes	—
667	#123	C₂³×C₁₉	1	8	yes	—
668	#123	C₂³×C₁₉	1	8	yes	—
669	#123	C₂³×C₁₉	1	8	yes	—
670	#123	C₂³×C₁₉	1	8	yes	—
671	#123	C₂³×C₁₉	1	16	yes	—
672	#123	C₂³×C₁₉	1	8	yes	—
673	#123	C₂³×C₁₉	1	8	yes	—
674	#123	C₂³×C₁₉	1	16	yes	—
675	#123	C₂³×C₁₉	1	16	yes	—
676	#123	C₂³×C₁₉	1	16	yes	—
677	#123	C₂³×C₁₉	1	16	yes	—
678	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
679	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
680	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
681	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
682	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
683	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
684	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
685	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
686	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
687	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
688	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
689	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
690	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
691	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
692	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
693	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
694	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
695	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
696	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
697	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
698	#121	C₂³×C₁₉	1	4	yes	—
699	#121	C₂³×C₁₉	1	8	yes	—
700	#121	C₂³×C₁₉	1	16	yes	—
701	#121	C₂³×C₁₉	1	4	yes	—
702	#121	C₂³×C₁₉	1	8	yes	—
703	#121	C₂³×C₁₉	1	8	yes	—
704	#121	C₂³×C₁₉	1	8	yes	—
705	#121	C₂³×C₁₉	1	8	yes	—
706	#121	C₂³×C₁₉	1	16	yes	—
707	#121	C₂³×C₁₉	1	16	yes	—
708	#121	C₂³×C₁₉	1	16	yes	—
709	#121	C₂³×C₁₉	1	16	yes	—
710	#121	C₂³×C₁₉	1	16	yes	—
711	#120	C₂³×C₁₉	1	4	yes	—
712	#120	C₂³×C₁₉	1	4	yes	—
713	#120	C₂³×C₁₉	1	8	yes	—
714	#120	C₂³×C₁₉	1	8	yes	—
715	#120	C₂³×C₁₉	1	16	yes	—
716	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
717	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
718	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
719	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
720	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
721	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
722	C₄×Q₈	C₂³×C₁₉	1	16	yes	—
723	C₄×D₄	C₂³×C₁₉	1	8	yes	—
724	C₄×D₄	C₂³×C₁₉	1	4	yes	—
725	C₄×D₄	C₂³×C₁₉	1	8	yes	—
726	C₄×D₄	C₂³×C₁₉	1	4	yes	—
727	C₄×D₄	C₂³×C₁₉	1	8	yes	—
728	C₄×D₄	C₂³×C₁₉	1	8	yes	—
729	C₄×D₄	C₂³×C₁₉	1	8	yes	—
730	C₄×D₄	C₂³×C₁₉	1	16	yes	—
731	C₄×D₄	C₂³×C₁₉	1	16	yes	—
732	C₄×D₄	C₂³×C₁₉	1	16	yes	—
733	C₄×D₄	C₂³×C₁₉	1	8	yes	—
734	C₄×D₄	C₂³×C₁₉	1	16	yes	—
735	C₄×D₄	C₂³×C₁₉	1	16	yes	—
736	C₄×D₄	C₂³×C₁₉	1	16	yes	—
737	#117	C₂³×C₁₉	1	4	yes	—
738	#117	C₂³×C₁₉	1	4	yes	—
739	#117	C₂³×C₁₉	1	2	yes	—
740	#117	C₂³×C₁₉	1	4	yes	—
741	#117	C₂³×C₁₉	1	2	yes	—
742	#117	C₂³×C₁₉	1	4	yes	—
743	#117	C₂³×C₁₉	1	4	yes	—
744	#117	C₂³×C₁₉	1	8	yes	—
745	#117	C₂³×C₁₉	1	16	yes	—
746	#117	C₂³×C₁₉	1	16	yes	—
747	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
748	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
749	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
750	C₂×C₄⋊C₄	C₂³×C₁₉	1	16	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₁₉	1	16	yes	—
756	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
757	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
758	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
759	C₁₉	#62887	1	1	yes	characteristic, direct product factor, Sylow
760	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
761	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
762	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
763	#41	—	2	8	no	—
764	#41	—	2	8	no	—
765	#41	—	4	8	no	—
766	#41	—	4	16	no	—
767	#41	—	4	16	no	—
768	#41	—	4	8	no	—
769	#41	—	4	8	no	—
770	#41	—	4	8	no	—
771	#41	—	4	8	no	—
772	C₂×Q₈	—	2	8	no	—
773	C₂×Q₈	—	2	4	no	—
774	C₂×Q₈	—	4	4	no	—
775	C₂×Q₈	—	4	16	no	—
776	C₂×Q₈	—	4	8	no	—
777	C₂×Q₈	—	4	8	no	—
778	C₂×Q₈	—	4	8	no	—
779	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
780	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
781	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
782	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
783	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
784	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
785	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
786	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
787	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
788	C₂×D₄	—	2	4	no	—
789	C₂×D₄	—	4	8	no	—
790	C₂×D₄	—	4	4	no	—
791	C₂×D₄	—	4	8	no	—
792	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
793	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
794	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
795	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
796	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
797	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
798	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
799	C₂×D₄	C₂⁴×C₁₉	1	16	yes	—
800	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
801	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
802	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
803	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
804	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
805	C₂²×C₄	—	2	4	no	—
806	C₂²×C₄	—	4	4	no	—
807	C₂²×C₄	—	4	4	no	—
808	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
809	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
810	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
811	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
813	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
814	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
815	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
816	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
817	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
818	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
819	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
820	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
821	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
822	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
823	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
824	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
825	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
826	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
827	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
828	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
829	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
830	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
831	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
832	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
833	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
834	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
835	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
836	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
837	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
838	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
839	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
840	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
841	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
842	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
843	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
844	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
845	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
846	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
847	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
848	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
849	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
850	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
851	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
852	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
853	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
854	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
855	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
856	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
857	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
858	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
859	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
860	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
861	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
862	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
863	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
864	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
865	C₄²	C₂⁴×C₁₉	1	2	yes	—
866	C₄²	C₂⁴×C₁₉	1	2	yes	—
867	C₄²	C₂⁴×C₁₉	1	4	yes	—
868	C₄²	C₂⁴×C₁₉	1	4	yes	—
869	C₄²	C₂⁴×C₁₉	1	8	yes	—
870	C₄²	C₂⁴×C₁₉	1	4	yes	—
871	C₄²	C₂⁴×C₁₉	1	8	yes	—
872	C₄²	C₂⁴×C₁₉	1	16	yes	—
873	C₄²	C₂⁴×C₁₉	1	8	yes	—
874	C₂³	—	2	2	no	—
875	C₂³	—	2	4	no	—
876	C₂³	—	4	2	no	—
877	C₂³	—	4	4	no	—
878	C₂³	—	4	4	no	—
879	C₂³	—	4	8	no	—
880	C₂³	C₂⁵×C₁₉	1	4	yes	—
881	C₂³	C₂⁵×C₁₉	1	4	yes	—
882	C₂³	C₂⁵×C₁₉	1	2	yes	—
883	C₂³	C₂⁵×C₁₉	1	4	yes	—
884	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
885	Q₈	—	2	8	no	—
886	Q₈	—	2	8	no	—
887	Q₈	—	2	8	no	—
888	Q₈	—	2	4	no	—
889	Q₈	—	2	4	no	—
890	Q₈	—	4	8	no	—
891	Q₈	—	4	8	no	—
892	Q₈	—	4	4	no	—
893	Q₈	—	4	8	no	—
894	D₄	—	2	8	no	—
895	D₄	—	2	8	no	—
896	D₄	—	2	8	no	—
897	D₄	—	2	4	no	—
898	D₄	—	2	4	no	—
899	D₄	—	4	8	no	—
900	D₄	—	4	8	no	—
901	D₄	—	4	4	no	—
902	D₄	—	4	8	no	—
903	D₄	—	4	8	no	—
904	D₄	—	4	8	no	—
905	D₄	—	4	16	no	—
906	D₄	—	4	8	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	4	no	—
909	C₂×C₄	—	2	8	no	—
910	C₂×C₄	—	2	8	no	—
911	C₂×C₄	—	2	8	no	—
912	C₂×C₄	—	2	8	no	—
913	C₂×C₄	—	4	8	no	—
914	C₂×C₄	—	4	8	no	—
915	C₂×C₄	—	4	4	no	—
916	C₂×C₄	—	4	8	no	—
917	C₂×C₄	—	4	8	no	—
918	C₂×C₄	—	4	8	no	—
919	C₂×C₄	—	4	8	no	—
920	C₂×C₄	—	4	4	no	—
921	C₂×C₄	—	4	8	no	—
922	C₂×C₄	—	4	8	no	—
923	C₂×C₄	C₁₉×H(5,𝔽₂)	1	4	yes	—
924	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
925	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
926	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
927	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
928	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
929	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
930	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
931	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
932	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
933	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
934	C₂²	—	2	2	no	—
935	C₂²	—	2	2	no	—
936	C₂²	—	2	4	no	—
937	C₂²	—	2	4	no	—
938	C₂²	—	2	4	no	—
939	C₂²	—	2	8	no	—
940	C₂²	—	2	8	no	—
941	C₂²	—	2	8	no	—
942	C₂²	—	2	4	no	—
943	C₂²	—	4	4	no	—
944	C₂²	—	8	4	no	—
945	C₂²	—	16	4	no	—
946	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
947	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
948	C₄	—	2	2	no	—
949	C₄	—	2	4	no	—
950	C₄	—	2	4	no	—
951	C₄	—	2	4	no	—
952	C₄	—	2	8	no	—
953	C₄	—	2	4	no	—
954	C₄	—	2	8	no	—
955	C₄	—	2	4	no	—
956	C₄	—	2	8	no	—
957	C₄	C₂×C₁₉×H(5,𝔽₂)	1	4	yes	—
958	C₂	—	2	2	no	—
959	C₂	—	4	2	no	—
960	C₂	—	4	4	no	—
961	C₂	—	4	4	no	—
962	C₂	—	4	4	no	—
963	C₂	C₂²×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
964	C₂	C₁₉×2₋¹⁺⁶	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×#3561	C₂	semidirect
3. C₁₉×#3554	C₂	semidirect
4. C₁₉×#3552	C₂	semidirect
5. C₁₉×#3535	C₂	semidirect
6. C₁₉×#3533	C₂	semidirect
7. C₁₉×#3510	C₂	semidirect
8. C₁₉×#3509	C₂	semidirect
9. C₁₉×#3500	C₂	semidirect
10. C₁₉×#3499	C₂	semidirect
11. C₁₉×#3487	C₂	semidirect
12. C₁₉×#3486	C₂	semidirect
13. C₁₉×#3485	C₂	semidirect
14. C₁₉×#3455	C₂	semidirect
15. C₂×C₁₉×#536	C₂	semidirect
17. C₂×C₁₉×2₋¹⁺⁴	C₂²	semidirect
20. C₂³×Q₈×C₁₉	C₂²	semidirect
21. C₁₉×#563	C₂²	semidirect
22. C₁₉×#563	C₂²	semidirect
23. C₁₉×#562	C₂²	semidirect
24. C₁₉×#562	C₂²	semidirect
25. C₁₉×#560	C₂²	semidirect
26. C₁₉×#559	C₂²	semidirect
27. C₁₉×#559	C₂²	semidirect
28. C₁₉×#557	C₂²	semidirect
29. C₁₉×#556	C₂²	semidirect
30. C₁₉×#556	C₂²	semidirect
31. C₁₉×#554	C₂²	semidirect
32. C₁₉×#553	C₂²	semidirect
33. C₁₉×#552	C₂²	semidirect
34. C₁₉×#551	C₂²	semidirect
35. C₁₉×#551	C₂²	semidirect
36. C₁₉×#551	C₂²	semidirect
37. C₁₉×#550	C₂²	semidirect
38. D₄×Q₈×C₁₉	C₂²	semidirect
39. D₄×Q₈×C₁₉	C₂²	semidirect
40. D₄×Q₈×C₁₉	C₂²	semidirect
41. C₁₉×#548	C₂²	semidirect
42. C₁₉×#548	C₂²	semidirect
43. C₁₉×#548	C₂²	semidirect
44. C₁₉×#548	C₂²	semidirect
46. C₁₉×#547	C₂²	semidirect
47. C₁₉×#547	C₂²	semidirect
50. C₁₉×#546	C₂²	semidirect
51. C₁₉×#544	C₂²	semidirect
52. C₁₉×#543	C₂²	semidirect
53. C₁₉×#542	C₂²	semidirect
54. C₁₉×#542	C₂²	semidirect
55. C₁₉×#542	C₂²	semidirect
56. C₁₉×#542	C₂²	semidirect
57. C₁₉×#542	C₂²	semidirect
58. C₁₉×#541	C₂²	semidirect
59. C₁₉×#541	C₂²	semidirect
60. C₁₉×#540	C₂²	semidirect
61. C₁₉×#540	C₂²	semidirect
62. C₁₉×#539	C₂²	semidirect
63. C₁₉×#539	C₂²	semidirect
64. C₁₉×#539	C₂²	semidirect
65. C₁₉×#539	C₂²	semidirect
66. C₁₉×#538	C₂²	semidirect
67. C₁₉×#538	C₂²	semidirect
68. C₁₉×#538	C₂²	semidirect
71. C₁₉×#536	C₂²	semidirect
72. C₁₉×#536	C₂²	semidirect
73. C₁₉×#536	C₂²	semidirect
74. C₁₉×#536	C₂²	semidirect
75. C₁₉×#536	C₂²	semidirect
76. C₁₉×#536	C₂²	semidirect
77. C₁₉×#536	C₂²	semidirect
79. C₁₉×#535	C₂²	semidirect
80. C₁₉×#535	C₂²	semidirect
82. C₁₉×#533	C₂²	semidirect
83. C₁₉×#533	C₂²	semidirect
85. C₁₉×#532	C₂²	semidirect
86. C₁₉×#532	C₂²	semidirect
87. C₂×C₁₉×C₄⋊Q₈	C₂²	semidirect
88. C₂×C₁₉×C₄⋊Q₈	C₂²	semidirect
89. C₁₉×#529	C₂²	semidirect
90. C₁₉×#529	C₂²	semidirect
91. C₁₉×#529	C₂²	semidirect
93. C₂×C₁₉×#124	C₂²	semidirect
95. C₁₉×#525	C₂²	semidirect
96. C₁₉×#525	C₂²	semidirect
97. C₁₉×#525	C₂²	semidirect
99. C₂×C₁₉×#123	C₂²	semidirect
100. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
101. C₁₉×#519	C₂²	semidirect
102. C₁₉×#519	C₂²	semidirect
105. C₄×#41×C₁₉	C₂²	semidirect
106. C₂×C₁₉×#117	C₂²	semidirect
391. #62887	C₁₉	direct (N × H)
452. #3562	C₂×C₁₉	semidirect
453. #3561	C₂×C₁₉	semidirect
454. #3554	C₂×C₁₉	semidirect
455. #3552	C₂×C₁₉	semidirect
456. #3535	C₂×C₁₉	semidirect
457. #3533	C₂×C₁₉	semidirect
458. #3510	C₂×C₁₉	semidirect
459. #3509	C₂×C₁₉	semidirect
460. #3500	C₂×C₁₉	semidirect
461. #3499	C₂×C₁₉	semidirect
462. #3487	C₂×C₁₉	semidirect
463. #3486	C₂×C₁₉	semidirect
464. #3485	C₂×C₁₉	semidirect
465. #3455	C₂×C₁₉	semidirect
466. C₂×#536	C₂×C₁₉	semidirect
492. C₂×2₋¹⁺⁴	C₂²×C₁₉	semidirect
495. C₂³×Q₈	C₂²×C₁₉	semidirect
496. #563	C₂²×C₁₉	semidirect
497. #563	C₂²×C₁₉	semidirect
498. #562	C₂²×C₁₉	semidirect
499. #562	C₂²×C₁₉	semidirect
500. #560	C₂²×C₁₉	semidirect
501. #559	C₂²×C₁₉	semidirect
502. #559	C₂²×C₁₉	semidirect
503. #557	C₂²×C₁₉	semidirect
504. #556	C₂²×C₁₉	semidirect
505. #556	C₂²×C₁₉	semidirect
506. #554	C₂²×C₁₉	semidirect
507. #553	C₂²×C₁₉	semidirect
508. #552	C₂²×C₁₉	semidirect
509. #551	C₂²×C₁₉	semidirect
510. #551	C₂²×C₁₉	semidirect
511. #551	C₂²×C₁₉	semidirect
512. #550	C₂²×C₁₉	semidirect
513. D₄×Q₈	C₂²×C₁₉	semidirect
514. D₄×Q₈	C₂²×C₁₉	semidirect
515. D₄×Q₈	C₂²×C₁₉	semidirect
516. #548	C₂²×C₁₉	semidirect
517. #548	C₂²×C₁₉	semidirect
518. #548	C₂²×C₁₉	semidirect
519. #548	C₂²×C₁₉	semidirect
521. #547	C₂²×C₁₉	semidirect
522. #547	C₂²×C₁₉	semidirect
525. #546	C₂²×C₁₉	semidirect
526. #544	C₂²×C₁₉	semidirect
527. #543	C₂²×C₁₉	semidirect
528. #542	C₂²×C₁₉	semidirect
529. #542	C₂²×C₁₉	semidirect
530. #542	C₂²×C₁₉	semidirect
531. #542	C₂²×C₁₉	semidirect
532. #542	C₂²×C₁₉	semidirect
533. #541	C₂²×C₁₉	semidirect
534. #541	C₂²×C₁₉	semidirect
535. #540	C₂²×C₁₉	semidirect
536. #540	C₂²×C₁₉	semidirect
537. #539	C₂²×C₁₉	semidirect
538. #539	C₂²×C₁₉	semidirect
539. #539	C₂²×C₁₉	semidirect
540. #539	C₂²×C₁₉	semidirect
541. #538	C₂²×C₁₉	semidirect
542. #538	C₂²×C₁₉	semidirect
543. #538	C₂²×C₁₉	semidirect
546. #536	C₂²×C₁₉	semidirect
547. #536	C₂²×C₁₉	semidirect
548. #536	C₂²×C₁₉	semidirect
549. #536	C₂²×C₁₉	semidirect
550. #536	C₂²×C₁₉	semidirect
551. #536	C₂²×C₁₉	semidirect
552. #536	C₂²×C₁₉	semidirect
554. #535	C₂²×C₁₉	semidirect
555. #535	C₂²×C₁₉	semidirect
557. #533	C₂²×C₁₉	semidirect
558. #533	C₂²×C₁₉	semidirect
560. #532	C₂²×C₁₉	semidirect
561. #532	C₂²×C₁₉	semidirect
562. C₂×C₄⋊Q₈	C₂²×C₁₉	semidirect
563. C₂×C₄⋊Q₈	C₂²×C₁₉	semidirect
564. #529	C₂²×C₁₉	semidirect
565. #529	C₂²×C₁₉	semidirect
566. #529	C₂²×C₁₉	semidirect
568. C₂×#124	C₂²×C₁₉	semidirect
570. #525	C₂²×C₁₉	semidirect
571. #525	C₂²×C₁₉	semidirect
572. #525	C₂²×C₁₉	semidirect
574. C₂×#123	C₂²×C₁₉	semidirect
575. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
576. #519	C₂²×C₁₉	semidirect
577. #519	C₂²×C₁₉	semidirect
580. C₄×#41	C₂²×C₁₉	semidirect
581. C₂×#117	C₂²×C₁₉	semidirect
759. C₁₉	#62887	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×#3561	2
C₁₉×#3554	2
C₁₉×#3552	2
C₁₉×#3535	2
C₁₉×#3533	2
C₁₉×#3510	2
C₁₉×#3509	2
C₁₉×#3500	2
C₁₉×#3499	2
C₁₉×#3487	2
C₁₉×#3486	2
C₁₉×#3485	2
C₁₉×#3455	2
C₂×C₁₉×#536	2
#62887	19

Subgroups — C19×#62887 #18068846

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62887 #18068846