Subgroups — C₁₉×#62886 #18068845

Order 4864.

6918 conjugacy classes of subgroups.

The subgroup lattice has 982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3551	C₂	1	4	yes	maximal, complemented
2	C₁₉×#3550	C₂	1	4	yes	maximal, complemented
3	C₁₉×#3547	C₂	1	8	yes	maximal, complemented
4	C₁₉×#3545	C₂	1	4	yes	maximal, complemented
5	C₁₉×#3544	C₂	1	4	yes	maximal, complemented
6	C₁₉×#3541	C₂	1	8	yes	maximal, complemented
7	C₁₉×#3540	C₂	1	4	yes	maximal, complemented
8	C₁₉×#3538	C₂	1	4	yes	maximal, complemented
9	C₁₉×#3533	C₂	1	8	yes	maximal, complemented
10	C₁₉×#3495	C₂	1	4	yes	maximal, complemented
11	C₁₉×#3493	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3489	C₂	1	4	yes	maximal, complemented
13	C₁₉×#3486	C₂	1	2	yes	maximal, complemented
14	C₁₉×#3449	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	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
18	C₂²×#41×C₁₉	C₂²	1	2	yes	complemented
19	C₂³×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
20	C₁₉×#563	C₂²	1	8	yes	complemented
21	C₁₉×#563	C₂²	1	4	yes	complemented
22	C₁₉×#563	C₂²	1	8	yes	complemented
23	C₁₉×#563	C₂²	1	8	yes	complemented
24	C₁₉×#562	C₂²	1	16	yes	complemented
25	C₁₉×#562	C₂²	1	8	yes	complemented
26	C₁₉×H(3,𝔽₄)	C₂²	1	4	yes	complemented
27	C₁₉×#560	C₂²	1	8	yes	complemented
28	C₁₉×#559	C₂²	1	8	yes	complemented
29	Q₈²×C₁₉	C₂²	1	4	yes	complemented
30	C₁₉×#556	C₂²	1	8	yes	complemented
31	C₁₉×#556	C₂²	1	8	yes	complemented
32	C₁₉×#555	C₂²	1	8	yes	complemented
33	C₁₉×#555	C₂²	1	4	yes	complemented
34	C₁₉×#555	C₂²	1	8	yes	complemented
35	C₁₉×#554	C₂²	1	8	yes	complemented
36	C₁₉×#554	C₂²	1	8	yes	complemented
37	C₁₉×#553	C₂²	1	8	yes	complemented
38	C₁₉×#553	C₂²	1	16	yes	complemented
39	C₁₉×#552	C₂²	1	8	yes	complemented
40	C₁₉×#552	C₂²	1	16	yes	complemented
41	C₁₉×#552	C₂²	1	8	yes	complemented
42	C₁₉×#552	C₂²	1	8	yes	complemented
43	C₁₉×#551	C₂²	1	16	yes	complemented
44	C₁₉×#551	C₂²	1	8	yes	complemented
45	C₁₉×#551	C₂²	1	8	yes	complemented
46	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
47	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
48	D₄×Q₈×C₁₉	C₂²	1	8	yes	complemented
49	C₁₉×#548	C₂²	1	8	yes	complemented
50	C₁₉×#548	C₂²	1	8	yes	complemented
51	C₁₉×#548	C₂²	1	8	yes	complemented
52	C₁₉×#547	C₂²	1	16	yes	complemented
53	C₁₉×#547	C₂²	1	8	yes	complemented
54	C₁₉×#546	C₂²	1	16	yes	complemented
55	C₁₉×#546	C₂²	1	8	yes	complemented
56	C₁₉×#544	C₂²	1	2	yes	complemented
57	C₁₉×#544	C₂²	1	16	yes	complemented
58	C₁₉×#542	C₂²	1	8	yes	complemented
59	C₁₉×#542	C₂²	1	16	yes	complemented
60	C₁₉×#542	C₂²	1	16	yes	complemented
61	C₁₉×#542	C₂²	1	16	yes	complemented
62	C₁₉×#541	C₂²	1	8	yes	complemented
63	C₁₉×#540	C₂²	1	16	yes	complemented
64	C₁₉×#539	C₂²	1	16	yes	complemented
65	C₁₉×#538	C₂²	1	8	yes	complemented
66	C₁₉×#538	C₂²	1	16	yes	complemented
67	C₁₉×#538	C₂²	1	16	yes	complemented
68	C₁₉×#537	C₂²	1	4	yes	—
69	C₁₉×#537	C₂²	1	2	yes	—
70	C₁₉×#537	C₂²	1	4	yes	complemented
71	C₁₉×#537	C₂²	1	8	yes	complemented
72	C₁₉×#536	C₂²	1	4	yes	—
73	C₁₉×#536	C₂²	1	2	yes	—
74	C₁₉×#536	C₂²	1	4	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×#536	C₂²	1	2	yes	complemented
79	C₁₉×#536	C₂²	1	4	yes	complemented
80	C₁₉×#536	C₂²	1	8	yes	complemented
81	C₁₉×#536	C₂²	1	8	yes	complemented
82	C₁₉×#535	C₂²	1	4	yes	—
83	C₁₉×#535	C₂²	1	2	yes	—
84	C₁₉×#535	C₂²	1	2	yes	complemented
85	C₁₉×#534	C₂²	1	4	yes	—
86	C₁₉×#534	C₂²	1	4	yes	complemented
87	C₁₉×#533	C₂²	1	8	yes	complemented
88	C₁₉×#532	C₂²	1	4	yes	—
89	C₁₉×#532	C₂²	1	4	yes	complemented
90	C₂×C₁₉×C₄⋊Q₈	C₂²	1	2	yes	complemented
91	C₁₉×#529	C₂²	1	8	yes	complemented
92	C₁₉×#529	C₂²	1	8	yes	complemented
93	C₂×C₁₉×#124	C₂²	1	2	yes	—
94	C₁₉×#525	C₂²	1	4	yes	—
95	C₁₉×#525	C₂²	1	4	yes	—
96	C₁₉×#525	C₂²	1	4	yes	complemented
97	C₁₉×#525	C₂²	1	4	yes	complemented
98	C₁₉×#525	C₂²	1	8	yes	complemented
99	C₁₉×#525	C₂²	1	8	yes	complemented
100	C₂×C₁₉×#123	C₂²	1	4	yes	complemented
101	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	4	yes	complemented
102	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	8	yes	complemented
103	C₁₉×#520	C₂²	1	4	yes	complemented
104	C₁₉×#519	C₂²	1	2	yes	complemented
105	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₁₉×#117	C₂²	1	2	yes	complemented
107	C₁₉×2₋¹⁺⁴	—	4	8	no	—
108	C₂×#41×C₁₉	—	4	4	no	—
109	C₂×#41×C₁₉	—	4	8	no	—
110	C₂×#41×C₁₉	C₂³	1	4	yes	—
111	C₂×#41×C₁₉	C₂³	1	2	yes	—
112	C₂×#41×C₁₉	C₂³	1	2	yes	—
113	C₂×#41×C₁₉	C₂³	1	8	yes	—
114	C₂×#41×C₁₉	C₂³	1	8	yes	—
115	C₂×#41×C₁₉	C₂³	1	2	yes	—
116	C₂×#41×C₁₉	C₂³	1	4	yes	—
117	C₂×#41×C₁₉	C₂³	1	2	yes	—
118	C₂×#41×C₁₉	C₂³	1	4	yes	—
119	C₂×#41×C₁₉	C₂³	1	4	yes	—
120	C₂²×Q₈×C₁₉	—	4	4	no	—
121	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
122	C₂²×Q₈×C₁₉	C₂³	1	8	yes	—
123	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
126	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
127	C₂²×Q₈×C₁₉	C₂³	1	4	yes	—
128	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
131	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
132	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
135	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
136	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
137	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
138	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
139	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
140	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
141	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
142	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
143	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
144	C₁₉×C₄⋊Q₈	C₂³	1	16	yes	—
145	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
146	C₁₉×#127	C₂³	1	4	yes	—
147	C₁₉×#127	C₂³	1	4	yes	—
148	C₁₉×#126	C₂³	1	16	yes	—
149	C₁₉×#126	C₂³	1	16	yes	—
150	C₁₉×#126	C₂³	1	16	yes	—
151	C₁₉×#126	C₂³	1	16	yes	—
152	C₁₉×#126	C₂³	1	16	yes	—
153	C₁₉×#126	C₂³	1	16	yes	—
154	C₁₉×#125	C₂³	1	8	yes	—
155	C₁₉×#125	C₂³	1	8	yes	—
156	C₁₉×#125	C₂³	1	16	yes	—
157	C₁₉×#125	C₂³	1	16	yes	—
158	C₁₉×#125	C₂³	1	16	yes	—
159	C₁₉×#124	C₂³	1	4	yes	—
160	C₁₉×#124	C₂³	1	8	yes	—
161	C₁₉×#124	C₂³	1	4	yes	—
162	C₁₉×#124	C₂³	1	8	yes	—
163	C₁₉×#124	C₂³	1	8	yes	—
164	C₁₉×#124	C₂³	1	4	yes	—
165	C₁₉×#124	C₂³	1	4	yes	—
166	C₁₉×#124	C₂³	1	4	yes	—
167	C₁₉×#124	C₂³	1	4	yes	—
168	C₁₉×#124	C₂³	1	8	yes	—
169	C₁₉×#124	C₂³	1	16	yes	—
170	C₁₉×#124	C₂³	1	8	yes	—
171	C₁₉×#124	C₂³	1	16	yes	—
172	C₁₉×#124	C₂³	1	16	yes	—
173	C₁₉×#123	C₂³	1	8	yes	—
174	C₁₉×#123	C₂³	1	8	yes	—
175	C₁₉×#123	C₂³	1	8	yes	—
176	C₁₉×#123	C₂³	1	8	yes	—
177	C₁₉×#123	C₂³	1	4	yes	—
178	C₁₉×#123	C₂³	1	8	yes	—
179	C₁₉×#123	C₂³	1	4	yes	—
180	C₁₉×#123	C₂³	1	8	yes	—
181	C₁₉×#123	C₂³	1	4	yes	—
182	C₁₉×#123	C₂³	1	4	yes	—
183	C₁₉×#123	C₂³	1	16	yes	—
184	C₁₉×#123	C₂³	1	16	yes	—
185	C₁₉×#123	C₂³	1	16	yes	—
186	C₁₉×#123	C₂³	1	16	yes	—
187	C₁₉×#123	C₂³	1	16	yes	—
188	C₁₉×#123	C₂³	1	16	yes	—
189	C₁₉×#123	C₂³	1	16	yes	—
190	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
191	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
192	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
193	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
194	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
195	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
196	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
197	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
198	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
199	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
200	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
201	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
202	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
203	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
204	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
205	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
206	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
207	C₁₉×C₂²⋊Q₈	C₂³	1	16	yes	—
208	C₁₉×C₂²⋊Q₈	C₂³	1	16	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×#121	C₂³	1	4	yes	—
213	C₁₉×#121	C₂³	1	4	yes	—
214	C₁₉×#121	C₂³	1	8	yes	—
215	C₁₉×#121	C₂³	1	4	yes	—
216	C₁₉×#121	C₂³	1	8	yes	—
217	C₁₉×#121	C₂³	1	4	yes	—
218	C₁₉×#121	C₂³	1	8	yes	—
219	C₁₉×#121	C₂³	1	16	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	8	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	8	yes	—
230	C₁₉×#120	C₂³	1	4	yes	—
231	C₁₉×#120	C₂³	1	4	yes	—
232	C₁₉×#120	C₂³	1	8	yes	—
233	C₁₉×#120	C₂³	1	4	yes	—
234	C₁₉×#120	C₂³	1	4	yes	—
235	C₁₉×#120	C₂³	1	16	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	16	yes	—
242	C₄×D₄×C₁₉	C₂³	1	8	yes	—
243	C₄×D₄×C₁₉	C₂³	1	8	yes	—
244	C₄×D₄×C₁₉	C₂³	1	8	yes	—
245	C₄×D₄×C₁₉	C₂³	1	8	yes	—
246	C₄×D₄×C₁₉	C₂³	1	8	yes	—
247	C₄×D₄×C₁₉	C₂³	1	16	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	C₁₉×#117	C₂³	1	4	yes	—
254	C₁₉×#117	C₂³	1	4	yes	—
255	C₁₉×#117	C₂³	1	4	yes	—
256	C₁₉×#117	C₂³	1	2	yes	—
257	C₁₉×#117	C₂³	1	2	yes	—
258	C₁₉×#117	C₂³	1	4	yes	—
259	C₁₉×#117	C₂³	1	4	yes	—
260	C₁₉×#117	C₂³	1	8	yes	—
261	C₁₉×#117	C₂³	1	8	yes	—
262	C₁₉×#117	C₂³	1	16	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	4	yes	—
267	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
268	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
269	C₂×C₄⋊C₄×C₁₉	C₂³	1	16	yes	—
270	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
271	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	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	C₂⁴×C₁₉	C₂⁴	1	2	yes	—
277	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
278	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
279	#41×C₁₉	—	2	16	no	—
280	#41×C₁₉	—	4	4	no	—
281	#41×C₁₉	—	4	4	no	—
282	#41×C₁₉	—	4	4	no	—
283	#41×C₁₉	—	4	4	no	—
284	#41×C₁₉	—	4	8	no	—
285	#41×C₁₉	—	4	8	no	—
286	#41×C₁₉	—	4	16	no	—
287	#41×C₁₉	—	4	8	no	—
288	#41×C₁₉	—	4	16	no	—
289	C₂×Q₈×C₁₉	—	2	8	no	—
290	C₂×Q₈×C₁₉	—	4	4	no	—
291	C₂×Q₈×C₁₉	—	4	2	no	—
292	C₂×Q₈×C₁₉	—	4	8	no	—
293	C₂×Q₈×C₁₉	—	4	8	no	—
294	C₂×Q₈×C₁₉	—	4	4	no	—
295	C₂×Q₈×C₁₉	—	4	16	no	—
296	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
297	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
298	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
299	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
300	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
301	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
302	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
303	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
304	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
305	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
306	C₂×D₄×C₁₉	—	4	4	no	—
307	C₂×D₄×C₁₉	—	4	2	no	—
308	C₂×D₄×C₁₉	—	4	4	no	—
309	C₂×D₄×C₁₉	—	4	8	no	—
310	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
311	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
312	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
313	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
314	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
315	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
316	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
317	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
318	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
319	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
320	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
321	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
322	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
323	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
324	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
325	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
326	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
327	C₂²×C₄×C₁₉	—	2	4	no	—
328	C₂²×C₄×C₁₉	—	2	8	no	—
329	C₂²×C₄×C₁₉	—	4	8	no	—
330	C₂²×C₄×C₁₉	—	4	4	no	—
331	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
334	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
337	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
342	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
343	C₂²×C₄×C₁₉	C₂⁴	1	16	yes	—
344	C₂²×C₄×C₁₉	C₂⁴	1	16	yes	—
345	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
346	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
347	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
348	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
349	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
350	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
351	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
352	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
353	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
354	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
355	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
356	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
357	C₄⋊C₄×C₁₉	C₂⁴	1	16	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	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
363	C₄⋊C₄×C₁₉	C₂⁴	1	16	yes	—
364	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
365	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
366	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
367	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
368	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
369	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
370	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
371	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
372	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
373	C₂²⋊C₄×C₁₉	C₂⁴	1	16	yes	—
374	C₂²⋊C₄×C₁₉	C₂⁴	1	16	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	16	yes	—
379	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
380	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
381	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
382	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
383	C₂²⋊C₄×C₁₉	C₂⁴	1	16	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	4	yes	—
389	C₄²×C₁₉	C₂⁴	1	8	yes	—
390	C₄²×C₁₉	C₂⁴	1	16	yes	—
391	C₄²×C₁₉	C₂⁴	1	8	yes	—
392	#62886	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
393	C₂³×C₁₉	—	2	2	no	—
394	C₂³×C₁₉	—	2	4	no	—
395	C₂³×C₁₉	—	4	2	no	—
396	C₂³×C₁₉	—	4	4	no	—
397	C₂³×C₁₉	—	4	4	no	—
398	C₂³×C₁₉	—	4	8	no	—
399	C₂³×C₁₉	C₂⁵	1	2	yes	—
400	C₂³×C₁₉	C₂⁵	1	2	yes	—
401	C₂³×C₁₉	C₂⁵	1	2	yes	—
402	C₂³×C₁₉	C₂⁵	1	8	yes	—
403	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
404	Q₈×C₁₉	—	2	16	no	—
405	Q₈×C₁₉	—	2	8	no	—
406	Q₈×C₁₉	—	4	4	no	—
407	Q₈×C₁₉	—	4	4	no	—
408	Q₈×C₁₉	—	4	8	no	—
409	Q₈×C₁₉	—	4	1	no	—
410	Q₈×C₁₉	—	4	2	no	—
411	Q₈×C₁₉	—	4	1	no	—
412	Q₈×C₁₉	—	4	4	no	—
413	Q₈×C₁₉	—	4	8	no	—
414	D₄×C₁₉	—	2	16	no	—
415	D₄×C₁₉	—	2	8	no	—
416	D₄×C₁₉	—	4	2	no	—
417	D₄×C₁₉	—	4	2	no	—
418	D₄×C₁₉	—	4	2	no	—
419	D₄×C₁₉	—	4	2	no	—
420	D₄×C₁₉	—	4	4	no	—
421	D₄×C₁₉	—	4	1	no	—
422	D₄×C₁₉	—	4	2	no	—
423	D₄×C₁₉	—	4	1	no	—
424	D₄×C₁₉	—	4	8	no	—
425	D₄×C₁₉	—	4	8	no	—
426	D₄×C₁₉	—	4	8	no	—
427	D₄×C₁₉	—	4	8	no	—
428	D₄×C₁₉	—	4	8	no	—
429	D₄×C₁₉	—	4	8	no	—
430	D₄×C₁₉	—	4	8	no	—
431	C₂×C₄×C₁₉	—	2	2	no	—
432	C₂×C₄×C₁₉	—	2	4	no	—
433	C₂×C₄×C₁₉	—	2	8	no	—
434	C₂×C₄×C₁₉	—	2	4	no	—
435	C₂×C₄×C₁₉	—	2	4	no	—
436	C₂×C₄×C₁₉	—	2	4	no	—
437	C₂×C₄×C₁₉	—	2	4	no	—
438	C₂×C₄×C₁₉	—	2	4	no	—
439	C₂×C₄×C₁₉	—	2	4	no	—
440	C₂×C₄×C₁₉	—	2	16	no	—
441	C₂×C₄×C₁₉	—	4	4	no	—
442	C₂×C₄×C₁₉	—	4	8	no	—
443	C₂×C₄×C₁₉	—	4	8	no	—
444	C₂×C₄×C₁₉	—	4	16	no	—
445	C₂×C₄×C₁₉	—	4	8	no	—
446	C₂×C₄×C₁₉	—	4	4	no	—
447	C₂×C₄×C₁₉	—	4	16	no	—
448	C₂×C₄×C₁₉	H(5,𝔽₂)	1	4	yes	—
449	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
450	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
451	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
452	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
453	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
454	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
455	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
456	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
457	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
458	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
459	#3551	C₂×C₁₉	1	4	yes	complemented
460	#3550	C₂×C₁₉	1	4	yes	complemented
461	#3547	C₂×C₁₉	1	8	yes	complemented
462	#3545	C₂×C₁₉	1	4	yes	complemented
463	#3544	C₂×C₁₉	1	4	yes	complemented
464	#3541	C₂×C₁₉	1	8	yes	complemented
465	#3540	C₂×C₁₉	1	4	yes	complemented
466	#3538	C₂×C₁₉	1	4	yes	complemented
467	#3533	C₂×C₁₉	1	8	yes	complemented
468	#3495	C₂×C₁₉	1	4	yes	complemented
469	#3493	C₂×C₁₉	1	2	yes	complemented
470	#3489	C₂×C₁₉	1	4	yes	complemented
471	#3486	C₂×C₁₉	1	2	yes	complemented
472	#3449	C₂×C₁₉	1	2	yes	complemented
473	C₂×#536	C₂×C₁₉	1	1	yes	characteristic, complemented
474	C₂²×C₁₉	—	2	2	no	—
475	C₂²×C₁₉	—	2	2	no	—
476	C₂²×C₁₉	—	2	2	no	—
477	C₂²×C₁₉	—	2	2	no	—
478	C₂²×C₁₉	—	2	8	no	—
479	C₂²×C₁₉	—	2	4	no	—
480	C₂²×C₁₉	—	2	8	no	—
481	C₂²×C₁₉	—	2	4	no	—
482	C₂²×C₁₉	—	2	8	no	—
483	C₂²×C₁₉	—	2	4	no	—
484	C₂²×C₁₉	—	4	4	no	—
485	C₂²×C₁₉	—	8	4	no	—
486	C₂²×C₁₉	—	8	8	no	—
487	C₂²×C₁₉	C₂×H(5,𝔽₂)	1	2	yes	—
488	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
489	C₄×C₁₉	—	2	2	no	—
490	C₄×C₁₉	—	2	2	no	—
491	C₄×C₁₉	—	2	1	no	—
492	C₄×C₁₉	—	2	1	no	—
493	C₄×C₁₉	—	2	8	no	—
494	C₄×C₁₉	—	2	8	no	—
495	C₄×C₁₉	—	2	8	no	—
496	C₄×C₁₉	—	2	8	no	—
497	C₄×C₁₉	—	2	8	no	—
498	C₄×C₁₉	C₂×H(5,𝔽₂)	1	4	yes	—
499	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	2	yes	—
500	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
501	C₂²×#41	C₂²×C₁₉	1	2	yes	complemented
502	C₂³×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
503	#563	C₂²×C₁₉	1	8	yes	complemented
504	#563	C₂²×C₁₉	1	4	yes	complemented
505	#563	C₂²×C₁₉	1	8	yes	complemented
506	#563	C₂²×C₁₉	1	8	yes	complemented
507	#562	C₂²×C₁₉	1	16	yes	complemented
508	#562	C₂²×C₁₉	1	8	yes	complemented
509	H(3,𝔽₄)	C₂²×C₁₉	1	4	yes	complemented
510	#560	C₂²×C₁₉	1	8	yes	complemented
511	#559	C₂²×C₁₉	1	8	yes	complemented
512	Q₈²	C₂²×C₁₉	1	4	yes	complemented
513	#556	C₂²×C₁₉	1	8	yes	complemented
514	#556	C₂²×C₁₉	1	8	yes	complemented
515	#555	C₂²×C₁₉	1	8	yes	complemented
516	#555	C₂²×C₁₉	1	4	yes	complemented
517	#555	C₂²×C₁₉	1	8	yes	complemented
518	#554	C₂²×C₁₉	1	8	yes	complemented
519	#554	C₂²×C₁₉	1	8	yes	complemented
520	#553	C₂²×C₁₉	1	8	yes	complemented
521	#553	C₂²×C₁₉	1	16	yes	complemented
522	#552	C₂²×C₁₉	1	8	yes	complemented
523	#552	C₂²×C₁₉	1	16	yes	complemented
524	#552	C₂²×C₁₉	1	8	yes	complemented
525	#552	C₂²×C₁₉	1	8	yes	complemented
526	#551	C₂²×C₁₉	1	16	yes	complemented
527	#551	C₂²×C₁₉	1	8	yes	complemented
528	#551	C₂²×C₁₉	1	8	yes	complemented
529	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
530	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
531	D₄×Q₈	C₂²×C₁₉	1	8	yes	complemented
532	#548	C₂²×C₁₉	1	8	yes	complemented
533	#548	C₂²×C₁₉	1	8	yes	complemented
534	#548	C₂²×C₁₉	1	8	yes	complemented
535	#547	C₂²×C₁₉	1	16	yes	complemented
536	#547	C₂²×C₁₉	1	8	yes	complemented
537	#546	C₂²×C₁₉	1	16	yes	complemented
538	#546	C₂²×C₁₉	1	8	yes	complemented
539	#544	C₂²×C₁₉	1	2	yes	complemented
540	#544	C₂²×C₁₉	1	16	yes	complemented
541	#542	C₂²×C₁₉	1	8	yes	complemented
542	#542	C₂²×C₁₉	1	16	yes	complemented
543	#542	C₂²×C₁₉	1	16	yes	complemented
544	#542	C₂²×C₁₉	1	16	yes	complemented
545	#541	C₂²×C₁₉	1	8	yes	complemented
546	#540	C₂²×C₁₉	1	16	yes	complemented
547	#539	C₂²×C₁₉	1	16	yes	complemented
548	#538	C₂²×C₁₉	1	8	yes	complemented
549	#538	C₂²×C₁₉	1	16	yes	complemented
550	#538	C₂²×C₁₉	1	16	yes	complemented
551	#537	C₂²×C₁₉	1	4	yes	—
552	#537	C₂²×C₁₉	1	2	yes	—
553	#537	C₂²×C₁₉	1	4	yes	complemented
554	#537	C₂²×C₁₉	1	8	yes	complemented
555	#536	C₂²×C₁₉	1	4	yes	—
556	#536	C₂²×C₁₉	1	2	yes	—
557	#536	C₂²×C₁₉	1	4	yes	complemented
558	#536	C₂²×C₁₉	1	4	yes	complemented
559	#536	C₂²×C₁₉	1	4	yes	complemented
560	#536	C₂²×C₁₉	1	4	yes	complemented
561	#536	C₂²×C₁₉	1	2	yes	complemented
562	#536	C₂²×C₁₉	1	4	yes	complemented
563	#536	C₂²×C₁₉	1	8	yes	complemented
564	#536	C₂²×C₁₉	1	8	yes	complemented
565	#535	C₂²×C₁₉	1	4	yes	—
566	#535	C₂²×C₁₉	1	2	yes	—
567	#535	C₂²×C₁₉	1	2	yes	complemented
568	#534	C₂²×C₁₉	1	4	yes	—
569	#534	C₂²×C₁₉	1	4	yes	complemented
570	#533	C₂²×C₁₉	1	8	yes	complemented
571	#532	C₂²×C₁₉	1	4	yes	—
572	#532	C₂²×C₁₉	1	4	yes	complemented
573	C₂×C₄⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
574	#529	C₂²×C₁₉	1	8	yes	complemented
575	#529	C₂²×C₁₉	1	8	yes	complemented
576	C₂×#124	C₂²×C₁₉	1	2	yes	—
577	#525	C₂²×C₁₉	1	4	yes	—
578	#525	C₂²×C₁₉	1	4	yes	—
579	#525	C₂²×C₁₉	1	4	yes	complemented
580	#525	C₂²×C₁₉	1	4	yes	complemented
581	#525	C₂²×C₁₉	1	8	yes	complemented
582	#525	C₂²×C₁₉	1	8	yes	complemented
583	C₂×#123	C₂²×C₁₉	1	4	yes	complemented
584	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	4	yes	complemented
585	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	8	yes	complemented
586	#520	C₂²×C₁₉	1	4	yes	complemented
587	#519	C₂²×C₁₉	1	2	yes	complemented
588	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic, complemented
589	C₂×#117	C₂²×C₁₉	1	2	yes	complemented
590	C₂×C₁₉	—	2	2	no	—
591	C₂×C₁₉	—	4	2	no	—
592	C₂×C₁₉	—	4	2	no	—
593	C₂×C₁₉	—	4	8	no	—
594	C₂×C₁₉	—	4	2	no	—
595	C₂×C₁₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
596	C₂×C₁₉	2₋¹⁺⁶	1	2	yes	—
597	2₋¹⁺⁴	—	4	8	no	—
598	C₂×#41	—	4	4	no	—
599	C₂×#41	—	4	8	no	—
600	C₂×#41	C₂³×C₁₉	1	4	yes	—
601	C₂×#41	C₂³×C₁₉	1	2	yes	—
602	C₂×#41	C₂³×C₁₉	1	2	yes	—
603	C₂×#41	C₂³×C₁₉	1	8	yes	—
604	C₂×#41	C₂³×C₁₉	1	8	yes	—
605	C₂×#41	C₂³×C₁₉	1	2	yes	—
606	C₂×#41	C₂³×C₁₉	1	4	yes	—
607	C₂×#41	C₂³×C₁₉	1	2	yes	—
608	C₂×#41	C₂³×C₁₉	1	4	yes	—
609	C₂×#41	C₂³×C₁₉	1	4	yes	—
610	C₂²×Q₈	—	4	4	no	—
611	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
612	C₂²×Q₈	C₂³×C₁₉	1	8	yes	—
613	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
614	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
615	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
616	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
617	C₂²×Q₈	C₂³×C₁₉	1	4	yes	—
618	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
619	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
620	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
621	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
622	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
623	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
624	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
625	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
626	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
627	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
628	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
629	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
630	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
631	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
632	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
633	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
634	C₄⋊Q₈	C₂³×C₁₉	1	16	yes	—
635	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
636	#127	C₂³×C₁₉	1	4	yes	—
637	#127	C₂³×C₁₉	1	4	yes	—
638	#126	C₂³×C₁₉	1	16	yes	—
639	#126	C₂³×C₁₉	1	16	yes	—
640	#126	C₂³×C₁₉	1	16	yes	—
641	#126	C₂³×C₁₉	1	16	yes	—
642	#126	C₂³×C₁₉	1	16	yes	—
643	#126	C₂³×C₁₉	1	16	yes	—
644	#125	C₂³×C₁₉	1	8	yes	—
645	#125	C₂³×C₁₉	1	8	yes	—
646	#125	C₂³×C₁₉	1	16	yes	—
647	#125	C₂³×C₁₉	1	16	yes	—
648	#125	C₂³×C₁₉	1	16	yes	—
649	#124	C₂³×C₁₉	1	4	yes	—
650	#124	C₂³×C₁₉	1	8	yes	—
651	#124	C₂³×C₁₉	1	4	yes	—
652	#124	C₂³×C₁₉	1	8	yes	—
653	#124	C₂³×C₁₉	1	8	yes	—
654	#124	C₂³×C₁₉	1	4	yes	—
655	#124	C₂³×C₁₉	1	4	yes	—
656	#124	C₂³×C₁₉	1	4	yes	—
657	#124	C₂³×C₁₉	1	4	yes	—
658	#124	C₂³×C₁₉	1	8	yes	—
659	#124	C₂³×C₁₉	1	16	yes	—
660	#124	C₂³×C₁₉	1	8	yes	—
661	#124	C₂³×C₁₉	1	16	yes	—
662	#124	C₂³×C₁₉	1	16	yes	—
663	#123	C₂³×C₁₉	1	8	yes	—
664	#123	C₂³×C₁₉	1	8	yes	—
665	#123	C₂³×C₁₉	1	8	yes	—
666	#123	C₂³×C₁₉	1	8	yes	—
667	#123	C₂³×C₁₉	1	4	yes	—
668	#123	C₂³×C₁₉	1	8	yes	—
669	#123	C₂³×C₁₉	1	4	yes	—
670	#123	C₂³×C₁₉	1	8	yes	—
671	#123	C₂³×C₁₉	1	4	yes	—
672	#123	C₂³×C₁₉	1	4	yes	—
673	#123	C₂³×C₁₉	1	16	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	#123	C₂³×C₁₉	1	16	yes	—
679	#123	C₂³×C₁₉	1	16	yes	—
680	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
681	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
682	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
683	C₂²⋊Q₈	C₂³×C₁₉	1	8	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	16	yes	—
688	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
689	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
690	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
691	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
692	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
693	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
694	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
695	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
696	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
697	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
698	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
699	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
700	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
701	C₂²⋊Q₈	C₂³×C₁₉	1	16	yes	—
702	#121	C₂³×C₁₉	1	4	yes	—
703	#121	C₂³×C₁₉	1	4	yes	—
704	#121	C₂³×C₁₉	1	8	yes	—
705	#121	C₂³×C₁₉	1	4	yes	—
706	#121	C₂³×C₁₉	1	8	yes	—
707	#121	C₂³×C₁₉	1	4	yes	—
708	#121	C₂³×C₁₉	1	8	yes	—
709	#121	C₂³×C₁₉	1	16	yes	—
710	#121	C₂³×C₁₉	1	8	yes	—
711	#121	C₂³×C₁₉	1	8	yes	—
712	#121	C₂³×C₁₉	1	8	yes	—
713	#121	C₂³×C₁₉	1	8	yes	—
714	#121	C₂³×C₁₉	1	8	yes	—
715	#121	C₂³×C₁₉	1	16	yes	—
716	#121	C₂³×C₁₉	1	16	yes	—
717	#121	C₂³×C₁₉	1	16	yes	—
718	#121	C₂³×C₁₉	1	16	yes	—
719	#120	C₂³×C₁₉	1	8	yes	—
720	#120	C₂³×C₁₉	1	4	yes	—
721	#120	C₂³×C₁₉	1	4	yes	—
722	#120	C₂³×C₁₉	1	8	yes	—
723	#120	C₂³×C₁₉	1	4	yes	—
724	#120	C₂³×C₁₉	1	4	yes	—
725	#120	C₂³×C₁₉	1	16	yes	—
726	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
727	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
728	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
729	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
730	C₄×Q₈	C₂³×C₁₉	1	16	yes	—
731	C₄×D₄	C₂³×C₁₉	1	16	yes	—
732	C₄×D₄	C₂³×C₁₉	1	8	yes	—
733	C₄×D₄	C₂³×C₁₉	1	8	yes	—
734	C₄×D₄	C₂³×C₁₉	1	8	yes	—
735	C₄×D₄	C₂³×C₁₉	1	8	yes	—
736	C₄×D₄	C₂³×C₁₉	1	8	yes	—
737	C₄×D₄	C₂³×C₁₉	1	16	yes	—
738	C₄×D₄	C₂³×C₁₉	1	16	yes	—
739	C₄×D₄	C₂³×C₁₉	1	16	yes	—
740	C₄×D₄	C₂³×C₁₉	1	16	yes	—
741	C₄×D₄	C₂³×C₁₉	1	8	yes	—
742	C₄×D₄	C₂³×C₁₉	1	16	yes	—
743	#117	C₂³×C₁₉	1	4	yes	—
744	#117	C₂³×C₁₉	1	4	yes	—
745	#117	C₂³×C₁₉	1	4	yes	—
746	#117	C₂³×C₁₉	1	2	yes	—
747	#117	C₂³×C₁₉	1	2	yes	—
748	#117	C₂³×C₁₉	1	4	yes	—
749	#117	C₂³×C₁₉	1	4	yes	—
750	#117	C₂³×C₁₉	1	8	yes	—
751	#117	C₂³×C₁₉	1	8	yes	—
752	#117	C₂³×C₁₉	1	16	yes	—
753	#117	C₂³×C₁₉	1	16	yes	—
754	#117	C₂³×C₁₉	1	16	yes	—
755	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
757	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
758	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
759	C₂×C₄⋊C₄	C₂³×C₁₉	1	16	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₉	1	16	yes	—
764	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
765	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
766	C₁₉	#62886	1	1	yes	characteristic, direct product factor, Sylow
767	C₂⁴	C₂⁴×C₁₉	1	2	yes	—
768	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
769	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
770	#41	—	2	16	no	—
771	#41	—	4	4	no	—
772	#41	—	4	4	no	—
773	#41	—	4	4	no	—
774	#41	—	4	4	no	—
775	#41	—	4	8	no	—
776	#41	—	4	8	no	—
777	#41	—	4	16	no	—
778	#41	—	4	8	no	—
779	#41	—	4	16	no	—
780	C₂×Q₈	—	2	8	no	—
781	C₂×Q₈	—	4	4	no	—
782	C₂×Q₈	—	4	2	no	—
783	C₂×Q₈	—	4	8	no	—
784	C₂×Q₈	—	4	8	no	—
785	C₂×Q₈	—	4	4	no	—
786	C₂×Q₈	—	4	16	no	—
787	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
788	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
789	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
790	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
791	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
792	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
793	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
794	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
795	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
796	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
797	C₂×D₄	—	4	4	no	—
798	C₂×D₄	—	4	2	no	—
799	C₂×D₄	—	4	4	no	—
800	C₂×D₄	—	4	8	no	—
801	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
802	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
803	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
804	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
805	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
806	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
807	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
808	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
809	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
810	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
811	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
812	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
813	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
814	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
815	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
816	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
817	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
818	C₂²×C₄	—	2	4	no	—
819	C₂²×C₄	—	2	8	no	—
820	C₂²×C₄	—	4	8	no	—
821	C₂²×C₄	—	4	4	no	—
822	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
823	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
824	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
825	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
826	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
827	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
828	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
829	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
832	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
833	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
834	C₂²×C₄	C₂⁴×C₁₉	1	16	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	4	yes	—
839	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
840	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
841	C₄⋊C₄	C₂⁴×C₁₉	1	8	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	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
846	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
847	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
848	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
849	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
850	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
851	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
852	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
853	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
854	C₄⋊C₄	C₂⁴×C₁₉	1	16	yes	—
855	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
856	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
857	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
858	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
859	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
860	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
861	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
862	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
863	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
864	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
865	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
866	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
867	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
868	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
869	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
870	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
871	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
872	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
873	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
874	C₂²⋊C₄	C₂⁴×C₁₉	1	16	yes	—
875	C₄²	C₂⁴×C₁₉	1	4	yes	—
876	C₄²	C₂⁴×C₁₉	1	4	yes	—
877	C₄²	C₂⁴×C₁₉	1	8	yes	—
878	C₄²	C₂⁴×C₁₉	1	4	yes	—
879	C₄²	C₂⁴×C₁₉	1	4	yes	—
880	C₄²	C₂⁴×C₁₉	1	8	yes	—
881	C₄²	C₂⁴×C₁₉	1	16	yes	—
882	C₄²	C₂⁴×C₁₉	1	8	yes	—
883	C₂³	—	2	2	no	—
884	C₂³	—	2	4	no	—
885	C₂³	—	4	2	no	—
886	C₂³	—	4	4	no	—
887	C₂³	—	4	4	no	—
888	C₂³	—	4	8	no	—
889	C₂³	C₂⁵×C₁₉	1	2	yes	—
890	C₂³	C₂⁵×C₁₉	1	2	yes	—
891	C₂³	C₂⁵×C₁₉	1	2	yes	—
892	C₂³	C₂⁵×C₁₉	1	8	yes	—
893	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
894	Q₈	—	2	16	no	—
895	Q₈	—	2	8	no	—
896	Q₈	—	4	4	no	—
897	Q₈	—	4	4	no	—
898	Q₈	—	4	8	no	—
899	Q₈	—	4	1	no	—
900	Q₈	—	4	2	no	—
901	Q₈	—	4	1	no	—
902	Q₈	—	4	4	no	—
903	Q₈	—	4	8	no	—
904	D₄	—	2	16	no	—
905	D₄	—	2	8	no	—
906	D₄	—	4	2	no	—
907	D₄	—	4	2	no	—
908	D₄	—	4	2	no	—
909	D₄	—	4	2	no	—
910	D₄	—	4	4	no	—
911	D₄	—	4	1	no	—
912	D₄	—	4	2	no	—
913	D₄	—	4	1	no	—
914	D₄	—	4	8	no	—
915	D₄	—	4	8	no	—
916	D₄	—	4	8	no	—
917	D₄	—	4	8	no	—
918	D₄	—	4	8	no	—
919	D₄	—	4	8	no	—
920	D₄	—	4	8	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	4	no	—
923	C₂×C₄	—	2	8	no	—
924	C₂×C₄	—	2	4	no	—
925	C₂×C₄	—	2	4	no	—
926	C₂×C₄	—	2	4	no	—
927	C₂×C₄	—	2	4	no	—
928	C₂×C₄	—	2	4	no	—
929	C₂×C₄	—	2	4	no	—
930	C₂×C₄	—	2	16	no	—
931	C₂×C₄	—	4	4	no	—
932	C₂×C₄	—	4	8	no	—
933	C₂×C₄	—	4	8	no	—
934	C₂×C₄	—	4	16	no	—
935	C₂×C₄	—	4	16	no	—
936	C₂×C₄	—	4	8	no	—
937	C₂×C₄	—	4	4	no	—
938	C₂×C₄	C₁₉×H(5,𝔽₂)	1	4	yes	—
939	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
940	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
941	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
942	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
943	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
944	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
945	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
946	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
947	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
948	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
949	C₂²	—	2	2	no	—
950	C₂²	—	2	2	no	—
951	C₂²	—	2	2	no	—
952	C₂²	—	2	2	no	—
953	C₂²	—	2	8	no	—
954	C₂²	—	2	4	no	—
955	C₂²	—	2	8	no	—
956	C₂²	—	2	4	no	—
957	C₂²	—	2	8	no	—
958	C₂²	—	2	4	no	—
959	C₂²	—	4	4	no	—
960	C₂²	—	8	4	no	—
961	C₂²	—	8	8	no	—
962	C₂²	C₂×C₁₉×H(5,𝔽₂)	1	2	yes	—
963	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
964	C₄	—	2	2	no	—
965	C₄	—	2	2	no	—
966	C₄	—	2	1	no	—
967	C₄	—	2	1	no	—
968	C₄	—	2	8	no	—
969	C₄	—	2	8	no	—
970	C₄	—	2	8	no	—
971	C₄	—	2	8	no	—
972	C₄	—	2	8	no	—
973	C₄	C₂×C₁₉×H(5,𝔽₂)	1	4	yes	—
974	C₂	—	2	2	no	—
975	C₂	—	4	2	no	—
976	C₂	—	4	2	no	—
977	C₂	—	4	2	no	—
978	C₂	—	4	8	no	—
979	C₂	C₂²×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
980	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×#3551	C₂	semidirect
2. C₁₉×#3550	C₂	semidirect
3. C₁₉×#3547	C₂	semidirect
4. C₁₉×#3545	C₂	semidirect
5. C₁₉×#3544	C₂	semidirect
6. C₁₉×#3541	C₂	semidirect
7. C₁₉×#3540	C₂	semidirect
8. C₁₉×#3538	C₂	semidirect
9. C₁₉×#3533	C₂	semidirect
10. C₁₉×#3495	C₂	semidirect
11. C₁₉×#3493	C₂	semidirect
12. C₁₉×#3489	C₂	semidirect
13. C₁₉×#3486	C₂	semidirect
14. C₁₉×#3449	C₂	semidirect
15. C₂×C₁₉×#536	C₂	semidirect
18. C₂²×#41×C₁₉	C₂²	semidirect
19. C₂³×Q₈×C₁₉	C₂²	semidirect
20. C₁₉×#563	C₂²	semidirect
21. C₁₉×#563	C₂²	semidirect
22. C₁₉×#563	C₂²	semidirect
23. C₁₉×#563	C₂²	semidirect
24. C₁₉×#562	C₂²	semidirect
25. C₁₉×#562	C₂²	semidirect
26. C₁₉×H(3,𝔽₄)	C₂²	semidirect
27. C₁₉×#560	C₂²	semidirect
28. C₁₉×#559	C₂²	semidirect
29. Q₈²×C₁₉	C₂²	semidirect
30. C₁₉×#556	C₂²	semidirect
31. C₁₉×#556	C₂²	semidirect
32. C₁₉×#555	C₂²	semidirect
33. C₁₉×#555	C₂²	semidirect
34. C₁₉×#555	C₂²	semidirect
35. C₁₉×#554	C₂²	semidirect
36. C₁₉×#554	C₂²	semidirect
37. C₁₉×#553	C₂²	semidirect
38. C₁₉×#553	C₂²	semidirect
39. C₁₉×#552	C₂²	semidirect
40. C₁₉×#552	C₂²	semidirect
41. C₁₉×#552	C₂²	semidirect
42. C₁₉×#552	C₂²	semidirect
43. C₁₉×#551	C₂²	semidirect
44. C₁₉×#551	C₂²	semidirect
45. C₁₉×#551	C₂²	semidirect
46. D₄×Q₈×C₁₉	C₂²	semidirect
47. D₄×Q₈×C₁₉	C₂²	semidirect
48. D₄×Q₈×C₁₉	C₂²	semidirect
49. C₁₉×#548	C₂²	semidirect
50. C₁₉×#548	C₂²	semidirect
51. C₁₉×#548	C₂²	semidirect
52. C₁₉×#547	C₂²	semidirect
53. C₁₉×#547	C₂²	semidirect
54. C₁₉×#546	C₂²	semidirect
55. C₁₉×#546	C₂²	semidirect
56. C₁₉×#544	C₂²	semidirect
57. C₁₉×#544	C₂²	semidirect
58. C₁₉×#542	C₂²	semidirect
59. C₁₉×#542	C₂²	semidirect
60. C₁₉×#542	C₂²	semidirect
61. C₁₉×#542	C₂²	semidirect
62. C₁₉×#541	C₂²	semidirect
63. C₁₉×#540	C₂²	semidirect
64. C₁₉×#539	C₂²	semidirect
65. C₁₉×#538	C₂²	semidirect
66. C₁₉×#538	C₂²	semidirect
67. C₁₉×#538	C₂²	semidirect
70. C₁₉×#537	C₂²	semidirect
71. C₁₉×#537	C₂²	semidirect
74. C₁₉×#536	C₂²	semidirect
75. C₁₉×#536	C₂²	semidirect
76. C₁₉×#536	C₂²	semidirect
77. C₁₉×#536	C₂²	semidirect
78. C₁₉×#536	C₂²	semidirect
79. C₁₉×#536	C₂²	semidirect
80. C₁₉×#536	C₂²	semidirect
81. C₁₉×#536	C₂²	semidirect
84. C₁₉×#535	C₂²	semidirect
86. C₁₉×#534	C₂²	semidirect
87. C₁₉×#533	C₂²	semidirect
89. C₁₉×#532	C₂²	semidirect
90. C₂×C₁₉×C₄⋊Q₈	C₂²	semidirect
91. C₁₉×#529	C₂²	semidirect
92. C₁₉×#529	C₂²	semidirect
96. C₁₉×#525	C₂²	semidirect
97. C₁₉×#525	C₂²	semidirect
98. C₁₉×#525	C₂²	semidirect
99. C₁₉×#525	C₂²	semidirect
100. C₂×C₁₉×#123	C₂²	semidirect
101. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
102. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
103. C₁₉×#520	C₂²	semidirect
104. C₁₉×#519	C₂²	semidirect
105. C₂×C₁₉×#117	C₂²	semidirect
106. C₂×C₁₉×#117	C₂²	semidirect
392. #62886	C₁₉	direct (N × H)
459. #3551	C₂×C₁₉	semidirect
460. #3550	C₂×C₁₉	semidirect
461. #3547	C₂×C₁₉	semidirect
462. #3545	C₂×C₁₉	semidirect
463. #3544	C₂×C₁₉	semidirect
464. #3541	C₂×C₁₉	semidirect
465. #3540	C₂×C₁₉	semidirect
466. #3538	C₂×C₁₉	semidirect
467. #3533	C₂×C₁₉	semidirect
468. #3495	C₂×C₁₉	semidirect
469. #3493	C₂×C₁₉	semidirect
470. #3489	C₂×C₁₉	semidirect
471. #3486	C₂×C₁₉	semidirect
472. #3449	C₂×C₁₉	semidirect
473. C₂×#536	C₂×C₁₉	semidirect
501. C₂²×#41	C₂²×C₁₉	semidirect
502. C₂³×Q₈	C₂²×C₁₉	semidirect
503. #563	C₂²×C₁₉	semidirect
504. #563	C₂²×C₁₉	semidirect
505. #563	C₂²×C₁₉	semidirect
506. #563	C₂²×C₁₉	semidirect
507. #562	C₂²×C₁₉	semidirect
508. #562	C₂²×C₁₉	semidirect
509. H(3,𝔽₄)	C₂²×C₁₉	semidirect
510. #560	C₂²×C₁₉	semidirect
511. #559	C₂²×C₁₉	semidirect
512. Q₈²	C₂²×C₁₉	semidirect
513. #556	C₂²×C₁₉	semidirect
514. #556	C₂²×C₁₉	semidirect
515. #555	C₂²×C₁₉	semidirect
516. #555	C₂²×C₁₉	semidirect
517. #555	C₂²×C₁₉	semidirect
518. #554	C₂²×C₁₉	semidirect
519. #554	C₂²×C₁₉	semidirect
520. #553	C₂²×C₁₉	semidirect
521. #553	C₂²×C₁₉	semidirect
522. #552	C₂²×C₁₉	semidirect
523. #552	C₂²×C₁₉	semidirect
524. #552	C₂²×C₁₉	semidirect
525. #552	C₂²×C₁₉	semidirect
526. #551	C₂²×C₁₉	semidirect
527. #551	C₂²×C₁₉	semidirect
528. #551	C₂²×C₁₉	semidirect
529. D₄×Q₈	C₂²×C₁₉	semidirect
530. D₄×Q₈	C₂²×C₁₉	semidirect
531. D₄×Q₈	C₂²×C₁₉	semidirect
532. #548	C₂²×C₁₉	semidirect
533. #548	C₂²×C₁₉	semidirect
534. #548	C₂²×C₁₉	semidirect
535. #547	C₂²×C₁₉	semidirect
536. #547	C₂²×C₁₉	semidirect
537. #546	C₂²×C₁₉	semidirect
538. #546	C₂²×C₁₉	semidirect
539. #544	C₂²×C₁₉	semidirect
540. #544	C₂²×C₁₉	semidirect
541. #542	C₂²×C₁₉	semidirect
542. #542	C₂²×C₁₉	semidirect
543. #542	C₂²×C₁₉	semidirect
544. #542	C₂²×C₁₉	semidirect
545. #541	C₂²×C₁₉	semidirect
546. #540	C₂²×C₁₉	semidirect
547. #539	C₂²×C₁₉	semidirect
548. #538	C₂²×C₁₉	semidirect
549. #538	C₂²×C₁₉	semidirect
550. #538	C₂²×C₁₉	semidirect
553. #537	C₂²×C₁₉	semidirect
554. #537	C₂²×C₁₉	semidirect
557. #536	C₂²×C₁₉	semidirect
558. #536	C₂²×C₁₉	semidirect
559. #536	C₂²×C₁₉	semidirect
560. #536	C₂²×C₁₉	semidirect
561. #536	C₂²×C₁₉	semidirect
562. #536	C₂²×C₁₉	semidirect
563. #536	C₂²×C₁₉	semidirect
564. #536	C₂²×C₁₉	semidirect
567. #535	C₂²×C₁₉	semidirect
569. #534	C₂²×C₁₉	semidirect
570. #533	C₂²×C₁₉	semidirect
572. #532	C₂²×C₁₉	semidirect
573. C₂×C₄⋊Q₈	C₂²×C₁₉	semidirect
574. #529	C₂²×C₁₉	semidirect
575. #529	C₂²×C₁₉	semidirect
579. #525	C₂²×C₁₉	semidirect
580. #525	C₂²×C₁₉	semidirect
581. #525	C₂²×C₁₉	semidirect
582. #525	C₂²×C₁₉	semidirect
583. C₂×#123	C₂²×C₁₉	semidirect
584. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
585. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
586. #520	C₂²×C₁₉	semidirect
587. #519	C₂²×C₁₉	semidirect
588. C₂×#117	C₂²×C₁₉	semidirect
589. C₂×#117	C₂²×C₁₉	semidirect
766. C₁₉	#62886	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×#3551	2
C₁₉×#3550	2
C₁₉×#3547	2
C₁₉×#3545	2
C₁₉×#3544	2
C₁₉×#3541	2
C₁₉×#3540	2
C₁₉×#3538	2
C₁₉×#3533	2
C₁₉×#3495	2
C₁₉×#3493	2
C₁₉×#3489	2
C₁₉×#3486	2
C₁₉×#3449	2
C₂×C₁₉×#536	2
#62886	19

Subgroups — C19×#62886 #18068845

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62886 #18068845