Subgroups — C₁₉×#62829 #18068788

Order 4864.

6636 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3566	C₂	1	8	yes	maximal, complemented
2	C₁₉×#3564	C₂	1	4	yes	maximal, complemented
3	C₁₉×#3560	C₂	1	4	yes	maximal, complemented
4	C₁₉×#3557	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3551	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3538	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3537	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3536	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3516	C₂	1	4	yes	maximal, complemented
10	C₁₉×#3515	C₂	1	4	yes	maximal, complemented
11	C₁₉×#3514	C₂	1	4	yes	maximal, complemented
12	C₁₉×#3513	C₂	1	8	yes	maximal, complemented
13	C₁₉×#3513	C₂	1	4	yes	maximal, complemented
14	C₁₉×#3512	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3510	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3493	C₂	1	4	yes	maximal, complemented
17	C₁₉×#3491	C₂	1	4	yes	maximal, complemented
18	C₁₉×#3444	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₉×#529	C₂	1	2	yes	maximal, complemented
20	C₁₉×#563	C₂²	1	4	yes	complemented
21	C₁₉×#563	C₂²	1	4	yes	complemented
22	C₁₉×#563	C₂²	1	8	yes	complemented
23	C₁₉×#562	C₂²	1	8	yes	complemented
24	C₁₉×#560	C₂²	1	4	yes	—
25	C₁₉×#560	C₂²	1	4	yes	complemented
26	C₁₉×#559	C₂²	1	8	yes	complemented
27	C₁₉×#559	C₂²	1	4	yes	complemented
28	C₁₉×#557	C₂²	1	4	yes	complemented
29	C₁₉×#556	C₂²	1	8	yes	complemented
30	C₁₉×#556	C₂²	1	8	yes	complemented
31	C₁₉×#556	C₂²	1	4	yes	complemented
32	C₁₉×#555	C₂²	1	4	yes	complemented
33	C₁₉×#555	C₂²	1	8	yes	complemented
34	C₁₉×#554	C₂²	1	4	yes	complemented
35	C₁₉×#554	C₂²	1	8	yes	complemented
36	C₁₉×#554	C₂²	1	4	yes	complemented
37	C₁₉×#553	C₂²	1	4	yes	—
38	C₁₉×#553	C₂²	1	8	yes	complemented
39	C₁₉×#553	C₂²	1	8	yes	complemented
40	C₁₉×#553	C₂²	1	8	yes	complemented
41	C₁₉×#553	C₂²	1	8	yes	complemented
42	C₁₉×#553	C₂²	1	4	yes	complemented
43	C₁₉×#553	C₂²	1	8	yes	complemented
44	C₁₉×#552	C₂²	1	8	yes	complemented
45	C₁₉×#552	C₂²	1	8	yes	complemented
46	C₁₉×#552	C₂²	1	8	yes	complemented
47	C₁₉×#552	C₂²	1	8	yes	complemented
48	C₁₉×#552	C₂²	1	8	yes	complemented
49	C₁₉×#552	C₂²	1	4	yes	complemented
50	C₁₉×#552	C₂²	1	8	yes	complemented
51	C₁₉×#552	C₂²	1	4	yes	complemented
52	C₁₉×#551	C₂²	1	4	yes	complemented
53	C₁₉×#551	C₂²	1	8	yes	complemented
54	C₁₉×#551	C₂²	1	8	yes	complemented
55	C₁₉×#551	C₂²	1	8	yes	complemented
56	C₁₉×#551	C₂²	1	8	yes	complemented
57	C₁₉×#551	C₂²	1	4	yes	complemented
58	C₁₉×#551	C₂²	1	8	yes	complemented
59	C₁₉×#551	C₂²	1	8	yes	complemented
60	D₄×Q₈×C₁₉	C₂²	1	4	yes	complemented
61	C₁₉×#548	C₂²	1	4	yes	complemented
62	C₁₉×#548	C₂²	1	4	yes	complemented
63	C₁₉×#547	C₂²	1	4	yes	complemented
64	C₁₉×#547	C₂²	1	8	yes	complemented
65	C₁₉×#546	C₂²	1	8	yes	complemented
66	C₁₉×#546	C₂²	1	8	yes	complemented
67	C₁₉×#546	C₂²	1	4	yes	complemented
68	C₁₉×#546	C₂²	1	4	yes	complemented
69	C₁₉×#546	C₂²	1	8	yes	complemented
70	D₄²×C₁₉	C₂²	1	4	yes	—
71	D₄²×C₁₉	C₂²	1	4	yes	—
72	C₁₉×#544	C₂²	1	4	yes	complemented
73	C₁₉×#543	C₂²	1	4	yes	complemented
74	C₁₉×#542	C₂²	1	4	yes	complemented
75	C₁₉×#542	C₂²	1	4	yes	complemented
76	C₁₉×#542	C₂²	1	8	yes	complemented
77	C₁₉×#542	C₂²	1	8	yes	complemented
78	C₁₉×#542	C₂²	1	8	yes	complemented
79	C₁₉×#541	C₂²	1	2	yes	complemented
80	C₁₉×#541	C₂²	1	2	yes	complemented
81	C₁₉×#541	C₂²	1	8	yes	complemented
82	C₁₉×#541	C₂²	1	8	yes	complemented
83	C₁₉×#540	C₂²	1	2	yes	—
84	C₁₉×#540	C₂²	1	2	yes	complemented
85	C₁₉×#540	C₂²	1	8	yes	complemented
86	C₁₉×#539	C₂²	1	8	yes	complemented
87	C₁₉×#539	C₂²	1	4	yes	complemented
88	C₁₉×#539	C₂²	1	4	yes	complemented
89	C₁₉×#539	C₂²	1	8	yes	complemented
90	C₁₉×#539	C₂²	1	8	yes	complemented
91	C₁₉×#539	C₂²	1	8	yes	complemented
92	C₁₉×#538	C₂²	1	4	yes	—
93	C₁₉×#538	C₂²	1	8	yes	complemented
94	C₁₉×#538	C₂²	1	4	yes	complemented
95	C₁₉×#538	C₂²	1	8	yes	complemented
96	C₁₉×#538	C₂²	1	8	yes	complemented
97	C₁₉×#538	C₂²	1	8	yes	complemented
98	C₁₉×#537	C₂²	1	4	yes	complemented
99	C₁₉×#537	C₂²	1	4	yes	complemented
100	C₁₉×#536	C₂²	1	2	yes	complemented
101	C₁₉×#535	C₂²	1	2	yes	—
102	C₁₉×#534	C₂²	1	4	yes	—
103	C₁₉×#533	C₂²	1	1	yes	characteristic, complemented
104	C₁₉×#533	C₂²	1	2	yes	complemented
105	C₁₉×#533	C₂²	1	2	yes	complemented
106	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
107	C₁₉×#532	C₂²	1	2	yes	complemented
108	C₁₉×#532	C₂²	1	2	yes	complemented
109	C₁₉×#529	C₂²	1	4	yes	complemented
110	C₁₉×#529	C₂²	1	4	yes	complemented
111	C₁₉×#529	C₂²	1	4	yes	complemented
112	C₁₉×#529	C₂²	1	4	yes	complemented
113	C₁₉×#529	C₂²	1	4	yes	complemented
114	C₁₉×#529	C₂²	1	4	yes	complemented
115	C₁₉×#529	C₂²	1	4	yes	complemented
116	C₁₉×#529	C₂²	1	4	yes	complemented
117	C₁₉×#529	C₂²	1	2	yes	complemented
118	C₁₉×#529	C₂²	1	2	yes	complemented
119	C₁₉×#529	C₂²	1	4	yes	complemented
120	C₁₉×#529	C₂²	1	4	yes	complemented
121	C₁₉×#529	C₂²	1	8	yes	complemented
122	C₁₉×#529	C₂²	1	8	yes	complemented
123	C₁₉×#529	C₂²	1	4	yes	complemented
124	C₁₉×#529	C₂²	1	4	yes	complemented
125	C₂×C₁₉×#126	C₂²	1	4	yes	complemented
126	C₂×C₁₉×#125	C₂²	1	2	yes	complemented
127	C₂×C₁₉×#125	C₂²	1	2	yes	complemented
128	C₂×C₁₉×#124	C₂²	1	2	yes	complemented
129	C₂×C₁₉×#124	C₂²	1	2	yes	complemented
130	C₁₉×#525	C₂²	1	1	yes	characteristic
131	C₁₉×#525	C₂²	1	4	yes	complemented
132	C₁₉×#525	C₂²	1	1	yes	characteristic, complemented
133	C₁₉×#525	C₂²	1	8	yes	complemented
134	C₂×C₁₉×#123	C₂²	1	4	yes	complemented
135	C₂×C₁₉×#123	C₂²	1	8	yes	complemented
136	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	2	yes	complemented
137	C₂×C₁₉×#121	C₂²	1	2	yes	—
138	C₁₉×#520	C₂²	1	8	yes	complemented
139	C₁₉×#520	C₂²	1	4	yes	complemented
140	C₁₉×#519	C₂²	1	2	yes	complemented
141	C₁₉×#518	C₂²	1	8	yes	complemented
142	C₁₉×#518	C₂²	1	2	yes	complemented
143	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
144	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
145	C₄×#41×C₁₉	C₂²	1	4	yes	complemented
146	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
147	C₂×C₄×D₄×C₁₉	C₂²	1	2	yes	complemented
148	C₂×C₄×D₄×C₁₉	C₂²	1	4	yes	complemented
149	C₂×C₁₉×#117	C₂²	1	4	yes	complemented
150	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
151	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
152	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
153	C₂×#41×C₁₉	C₂³	1	4	yes	—
154	C₂×#41×C₁₉	C₂³	1	8	yes	—
155	C₂×#41×C₁₉	C₂³	1	4	yes	—
156	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
157	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
158	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
159	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₉	C₂³	1	8	yes	—
161	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
162	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₉	C₂³	1	4	yes	—
165	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
169	C₁₉×C₄⋊Q₈	C₂³	1	4	yes	—
170	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
171	C₁₉×C₄⋊Q₈	C₂³	1	8	yes	—
172	C₁₉×#127	C₂³	1	1	yes	characteristic
173	C₁₉×#127	C₂³	1	2	yes	—
174	C₁₉×#127	C₂³	1	4	yes	—
175	C₁₉×#126	C₂³	1	8	yes	—
176	C₁₉×#126	C₂³	1	8	yes	—
177	C₁₉×#126	C₂³	1	8	yes	—
178	C₁₉×#126	C₂³	1	8	yes	—
179	C₁₉×#126	C₂³	1	4	yes	—
180	C₁₉×#126	C₂³	1	4	yes	—
181	C₁₉×#126	C₂³	1	8	yes	—
182	C₁₉×#126	C₂³	1	8	yes	—
183	C₁₉×#126	C₂³	1	8	yes	—
184	C₁₉×#126	C₂³	1	8	yes	—
185	C₁₉×#126	C₂³	1	8	yes	—
186	C₁₉×#126	C₂³	1	8	yes	—
187	C₁₉×#126	C₂³	1	8	yes	—
188	C₁₉×#126	C₂³	1	8	yes	—
189	C₁₉×#126	C₂³	1	8	yes	—
190	C₁₉×#126	C₂³	1	8	yes	—
191	C₁₉×#126	C₂³	1	8	yes	—
192	C₁₉×#126	C₂³	1	8	yes	—
193	C₁₉×#125	C₂³	1	4	yes	—
194	C₁₉×#125	C₂³	1	4	yes	—
195	C₁₉×#125	C₂³	1	4	yes	—
196	C₁₉×#125	C₂³	1	4	yes	—
197	C₁₉×#125	C₂³	1	8	yes	—
198	C₁₉×#125	C₂³	1	2	yes	—
199	C₁₉×#125	C₂³	1	2	yes	—
200	C₁₉×#125	C₂³	1	4	yes	—
201	C₁₉×#125	C₂³	1	2	yes	—
202	C₁₉×#125	C₂³	1	8	yes	—
203	C₁₉×#125	C₂³	1	8	yes	—
204	C₁₉×#125	C₂³	1	8	yes	—
205	C₁₉×#125	C₂³	1	8	yes	—
206	C₁₉×#125	C₂³	1	8	yes	—
207	C₁₉×#125	C₂³	1	8	yes	—
208	C₁₉×#125	C₂³	1	8	yes	—
209	C₁₉×#124	C₂³	1	4	yes	—
210	C₁₉×#124	C₂³	1	4	yes	—
211	C₁₉×#124	C₂³	1	4	yes	—
212	C₁₉×#124	C₂³	1	4	yes	—
213	C₁₉×#124	C₂³	1	8	yes	—
214	C₁₉×#124	C₂³	1	4	yes	—
215	C₁₉×#124	C₂³	1	4	yes	—
216	C₁₉×#124	C₂³	1	1	yes	characteristic
217	C₁₉×#124	C₂³	1	1	yes	characteristic
218	C₁₉×#124	C₂³	1	8	yes	—
219	C₁₉×#124	C₂³	1	8	yes	—
220	C₁₉×#124	C₂³	1	4	yes	—
221	C₁₉×#124	C₂³	1	4	yes	—
222	C₁₉×#124	C₂³	1	8	yes	—
223	C₁₉×#124	C₂³	1	8	yes	—
224	C₁₉×#124	C₂³	1	8	yes	—
225	C₁₉×#123	C₂³	1	8	yes	—
226	C₁₉×#123	C₂³	1	4	yes	—
227	C₁₉×#123	C₂³	1	8	yes	—
228	C₁₉×#123	C₂³	1	8	yes	—
229	C₁₉×#123	C₂³	1	8	yes	—
230	C₁₉×#123	C₂³	1	8	yes	—
231	C₁₉×#123	C₂³	1	8	yes	—
232	C₁₉×#123	C₂³	1	8	yes	—
233	C₁₉×#123	C₂³	1	8	yes	—
234	C₁₉×#123	C₂³	1	8	yes	—
235	C₁₉×#123	C₂³	1	8	yes	—
236	C₁₉×#123	C₂³	1	2	yes	—
237	C₁₉×#123	C₂³	1	4	yes	—
238	C₁₉×#123	C₂³	1	2	yes	—
239	C₁₉×#123	C₂³	1	8	yes	—
240	C₁₉×#123	C₂³	1	8	yes	—
241	C₁₉×#123	C₂³	1	8	yes	—
242	C₁₉×#123	C₂³	1	8	yes	—
243	C₁₉×#123	C₂³	1	4	yes	—
244	C₁₉×#123	C₂³	1	4	yes	—
245	C₁₉×#123	C₂³	1	8	yes	—
246	C₁₉×#123	C₂³	1	8	yes	—
247	C₁₉×#123	C₂³	1	8	yes	—
248	C₁₉×#123	C₂³	1	8	yes	—
249	C₁₉×#123	C₂³	1	8	yes	—
250	C₁₉×#123	C₂³	1	8	yes	—
251	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
252	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
253	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
254	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
258	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
260	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
261	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
262	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
263	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
264	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
265	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
266	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
267	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
268	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
269	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
270	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
271	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
272	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
273	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
274	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
275	C₁₉×C₂²⋊Q₈	C₂³	1	8	yes	—
276	C₁₉×#121	C₂³	1	4	yes	—
277	C₁₉×#121	C₂³	1	4	yes	—
278	C₁₉×#121	C₂³	1	4	yes	—
279	C₁₉×#121	C₂³	1	4	yes	—
280	C₁₉×#121	C₂³	1	2	yes	—
281	C₁₉×#121	C₂³	1	2	yes	—
282	C₁₉×#121	C₂³	1	4	yes	—
283	C₁₉×#121	C₂³	1	4	yes	—
284	C₁₉×#121	C₂³	1	8	yes	—
285	C₁₉×#121	C₂³	1	8	yes	—
286	C₁₉×#121	C₂³	1	8	yes	—
287	C₁₉×#121	C₂³	1	4	yes	—
288	C₁₉×#121	C₂³	1	8	yes	—
289	C₁₉×#121	C₂³	1	4	yes	—
290	C₁₉×#121	C₂³	1	8	yes	—
291	C₁₉×#121	C₂³	1	8	yes	—
292	C₁₉×#121	C₂³	1	8	yes	—
293	C₁₉×#121	C₂³	1	8	yes	—
294	C₁₉×#121	C₂³	1	8	yes	—
295	C₁₉×#121	C₂³	1	8	yes	—
296	C₁₉×#121	C₂³	1	8	yes	—
297	C₁₉×#121	C₂³	1	8	yes	—
298	C₁₉×#121	C₂³	1	8	yes	—
299	C₁₉×#120	C₂³	1	2	yes	—
300	C₁₉×#120	C₂³	1	2	yes	—
301	C₁₉×#120	C₂³	1	8	yes	—
302	C₁₉×#120	C₂³	1	8	yes	—
303	C₁₉×#120	C₂³	1	4	yes	—
304	C₁₉×#120	C₂³	1	8	yes	—
305	C₁₉×#120	C₂³	1	4	yes	—
306	C₁₉×#120	C₂³	1	8	yes	—
307	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
308	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
309	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
310	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
311	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
312	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
313	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
314	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
315	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
316	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
317	C₄×Q₈×C₁₉	C₂³	1	4	yes	—
318	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
319	C₄×Q₈×C₁₉	C₂³	1	8	yes	—
320	C₄×D₄×C₁₉	C₂³	1	8	yes	—
321	C₄×D₄×C₁₉	C₂³	1	4	yes	—
322	C₄×D₄×C₁₉	C₂³	1	4	yes	—
323	C₄×D₄×C₁₉	C₂³	1	8	yes	—
324	C₄×D₄×C₁₉	C₂³	1	8	yes	—
325	C₄×D₄×C₁₉	C₂³	1	4	yes	—
326	C₄×D₄×C₁₉	C₂³	1	4	yes	—
327	C₄×D₄×C₁₉	C₂³	1	8	yes	—
328	C₄×D₄×C₁₉	C₂³	1	4	yes	—
329	C₄×D₄×C₁₉	C₂³	1	4	yes	—
330	C₄×D₄×C₁₉	C₂³	1	4	yes	—
331	C₄×D₄×C₁₉	C₂³	1	4	yes	—
332	C₄×D₄×C₁₉	C₂³	1	4	yes	—
333	C₄×D₄×C₁₉	C₂³	1	4	yes	—
334	C₄×D₄×C₁₉	C₂³	1	4	yes	—
335	C₄×D₄×C₁₉	C₂³	1	4	yes	—
336	C₄×D₄×C₁₉	C₂³	1	2	yes	—
337	C₄×D₄×C₁₉	C₂³	1	2	yes	—
338	C₄×D₄×C₁₉	C₂³	1	8	yes	—
339	C₄×D₄×C₁₉	C₂³	1	8	yes	—
340	C₄×D₄×C₁₉	C₂³	1	8	yes	—
341	C₄×D₄×C₁₉	C₂³	1	8	yes	—
342	C₄×D₄×C₁₉	C₂³	1	8	yes	—
343	C₄×D₄×C₁₉	C₂³	1	8	yes	—
344	C₄×D₄×C₁₉	C₂³	1	4	yes	—
345	C₄×D₄×C₁₉	C₂³	1	8	yes	—
346	C₄×D₄×C₁₉	C₂³	1	8	yes	—
347	C₄×D₄×C₁₉	C₂³	1	8	yes	—
348	C₄×D₄×C₁₉	C₂³	1	8	yes	—
349	C₄×D₄×C₁₉	C₂³	1	8	yes	—
350	C₄×D₄×C₁₉	C₂³	1	8	yes	—
351	C₄×D₄×C₁₉	C₂³	1	4	yes	—
352	C₄×D₄×C₁₉	C₂³	1	8	yes	—
353	C₁₉×#117	C₂³	1	8	yes	—
354	C₁₉×#117	C₂³	1	8	yes	—
355	C₁₉×#117	C₂³	1	8	yes	—
356	C₁₉×#117	C₂³	1	8	yes	—
357	C₁₉×#117	C₂³	1	2	yes	—
358	C₁₉×#117	C₂³	1	2	yes	—
359	C₁₉×#117	C₂³	1	1	yes	characteristic
360	C₁₉×#117	C₂³	1	1	yes	characteristic
361	C₁₉×#117	C₂³	1	4	yes	—
362	C₁₉×#117	C₂³	1	4	yes	—
363	C₁₉×#117	C₂³	1	4	yes	—
364	C₁₉×#117	C₂³	1	8	yes	—
365	C₁₉×#117	C₂³	1	8	yes	—
366	C₁₉×#117	C₂³	1	2	yes	—
367	C₁₉×#117	C₂³	1	8	yes	—
368	C₁₉×#117	C₂³	1	2	yes	—
369	C₁₉×#117	C₂³	1	8	yes	—
370	C₁₉×#117	C₂³	1	8	yes	—
371	C₁₉×#117	C₂³	1	8	yes	—
372	C₁₉×#117	C₂³	1	8	yes	—
373	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
374	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
375	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
376	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
377	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
378	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
379	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
380	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
381	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
382	C₂×C₄⋊C₄×C₁₉	C₂³	1	8	yes	—
383	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
384	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
385	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
386	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
387	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
388	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
389	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
390	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
391	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
392	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
393	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
394	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
395	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
396	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
397	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
398	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
400	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
401	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
402	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
404	C₂⁴×C₁₉	C₂⁴	1	4	yes	—
405	#41×C₁₉	—	4	2	no	—
406	#41×C₁₉	—	4	2	no	—
407	#41×C₁₉	—	4	8	no	—
408	#41×C₁₉	—	4	16	no	—
409	#41×C₁₉	—	4	8	no	—
410	C₂×Q₈×C₁₉	—	4	4	no	—
411	C₂×Q₈×C₁₉	—	4	4	no	—
412	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
413	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
414	C₂×Q₈×C₁₉	C₂⁴	1	8	yes	—
415	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
416	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
417	C₂×Q₈×C₁₉	C₂⁴	1	4	yes	—
418	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
419	C₂×D₄×C₁₉	—	4	4	no	—
420	C₂×D₄×C₁₉	—	4	4	no	—
421	C₂×D₄×C₁₉	—	4	8	no	—
422	C₂×D₄×C₁₉	—	4	16	no	—
423	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
424	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
425	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
426	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
427	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
428	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
429	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
430	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
431	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
432	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
433	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
434	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
435	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
436	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
437	C₂×D₄×C₁₉	C₂⁴	1	8	yes	—
438	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₁₉	—	4	2	no	—
440	C₂²×C₄×C₁₉	—	4	4	no	—
441	C₂²×C₄×C₁₉	—	4	8	no	—
442	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
443	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
445	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
447	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
448	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
449	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
450	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
451	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
452	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
453	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
454	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
456	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
457	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
458	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
459	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
460	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
461	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
462	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
463	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
464	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
465	C₂²×C₄×C₁₉	C₂⁴	1	8	yes	—
466	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
467	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
468	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
469	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
470	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
471	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
472	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
473	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
474	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
475	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
476	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
477	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
478	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
479	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
480	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
481	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
482	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
483	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
484	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
485	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
486	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
487	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
488	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
489	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
490	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
491	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
492	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
493	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
494	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
495	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
496	C₄⋊C₄×C₁₉	C₂⁴	1	8	yes	—
497	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
498	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
499	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
500	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
501	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
502	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
503	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
504	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
505	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
506	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
507	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
508	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
509	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
510	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
511	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
512	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
513	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
514	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
515	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
516	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
517	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
518	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
519	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
520	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
522	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
523	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
524	C₂²⋊C₄×C₁₉	C₂⁴	1	2	yes	—
525	C₂²⋊C₄×C₁₉	C₂⁴	1	8	yes	—
526	C₂²⋊C₄×C₁₉	C₂⁴	1	4	yes	—
527	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
528	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
529	C₄²×C₁₉	C₂⁴	1	2	yes	—
530	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
531	C₄²×C₁₉	C₂⁴	1	2	yes	—
532	C₄²×C₁₉	C₂⁴	1	2	yes	—
533	C₄²×C₁₉	C₂⁴	1	2	yes	—
534	C₄²×C₁₉	C₂⁴	1	2	yes	—
535	C₄²×C₁₉	C₂⁴	1	2	yes	—
536	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
537	C₄²×C₁₉	C₂⁴	1	4	yes	—
538	C₄²×C₁₉	C₂⁴	1	8	yes	—
539	C₄²×C₁₉	C₂⁴	1	8	yes	—
540	C₄²×C₁₉	C₂⁴	1	4	yes	—
541	C₄²×C₁₉	C₂⁴	1	2	yes	—
542	C₄²×C₁₉	C₂⁴	1	2	yes	—
543	C₄²×C₁₉	C₂⁴	1	4	yes	—
544	C₄²×C₁₉	C₂⁴	1	8	yes	—
545	C₄²×C₁₉	C₂⁴	1	8	yes	—
546	C₄²×C₁₉	C₂⁴	1	4	yes	—
547	#62829	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
548	C₂³×C₁₉	—	2	4	no	—
549	C₂³×C₁₉	—	2	8	no	—
550	C₂³×C₁₉	—	4	1	no	—
551	C₂³×C₁₉	—	4	4	no	—
552	C₂³×C₁₉	—	4	4	no	—
553	C₂³×C₁₉	—	4	4	no	—
554	C₂³×C₁₉	—	4	8	no	—
555	C₂³×C₁₉	C₂⁵	1	2	yes	—
556	C₂³×C₁₉	C₂⁵	1	8	yes	—
557	C₂³×C₁₉	C₂⁵	1	1	yes	characteristic
558	C₂³×C₁₉	C₂⁵	1	2	yes	—
559	C₂³×C₁₉	C₂⁵	1	2	yes	—
560	Q₈×C₁₉	—	2	8	no	—
561	Q₈×C₁₉	—	4	4	no	—
562	Q₈×C₁₉	—	4	4	no	—
563	Q₈×C₁₉	—	4	1	no	—
564	Q₈×C₁₉	—	4	8	no	—
565	Q₈×C₁₉	—	4	1	no	—
566	Q₈×C₁₉	—	4	4	no	—
567	D₄×C₁₉	—	2	16	no	—
568	D₄×C₁₉	—	2	8	no	—
569	D₄×C₁₉	—	2	8	no	—
570	D₄×C₁₉	—	2	8	no	—
571	D₄×C₁₉	—	4	4	no	—
572	D₄×C₁₉	—	4	4	no	—
573	D₄×C₁₉	—	4	8	no	—
574	D₄×C₁₉	—	4	8	no	—
575	D₄×C₁₉	—	4	8	no	—
576	D₄×C₁₉	—	4	2	no	—
577	D₄×C₁₉	—	4	8	no	—
578	D₄×C₁₉	—	4	1	no	—
579	D₄×C₁₉	—	4	1	no	—
580	D₄×C₁₉	—	4	4	no	—
581	D₄×C₁₉	—	4	2	no	—
582	D₄×C₁₉	—	4	8	no	—
583	C₂×C₄×C₁₉	—	2	4	no	—
584	C₂×C₄×C₁₉	—	2	4	no	—
585	C₂×C₄×C₁₉	—	2	8	no	—
586	C₂×C₄×C₁₉	—	2	4	no	—
587	C₂×C₄×C₁₉	—	2	2	no	—
588	C₂×C₄×C₁₉	—	2	4	no	—
589	C₂×C₄×C₁₉	—	2	4	no	—
590	C₂×C₄×C₁₉	—	4	2	no	—
591	C₂×C₄×C₁₉	—	4	2	no	—
592	C₂×C₄×C₁₉	—	4	8	no	—
593	C₂×C₄×C₁₉	—	4	8	no	—
594	C₂×C₄×C₁₉	—	4	2	no	—
595	C₂×C₄×C₁₉	—	4	2	no	—
596	C₂×C₄×C₁₉	—	4	2	no	—
597	C₂×C₄×C₁₉	—	4	1	no	—
598	C₂×C₄×C₁₉	—	4	4	no	—
599	C₂×C₄×C₁₉	—	4	8	no	—
600	C₂×C₄×C₁₉	—	4	4	no	—
601	C₂×C₄×C₁₉	—	4	4	no	—
602	C₂×C₄×C₁₉	—	4	4	no	—
603	C₂×C₄×C₁₉	—	4	4	no	—
604	C₂×C₄×C₁₉	—	4	8	no	—
605	C₂×C₄×C₁₉	—	4	8	no	—
606	C₂×C₄×C₁₉	—	4	8	no	—
607	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
608	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
609	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
610	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
611	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
612	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
613	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
614	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
615	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
616	C₂×C₄×C₁₉	C₂⁵	1	4	yes	—
617	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
618	C₂×C₄×C₁₉	C₂⁵	1	2	yes	—
619	C₂×C₄×C₁₉	C₂⁵	1	8	yes	—
620	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
621	#3566	C₂×C₁₉	1	8	yes	complemented
622	#3564	C₂×C₁₉	1	4	yes	complemented
623	#3560	C₂×C₁₉	1	4	yes	complemented
624	#3557	C₂×C₁₉	1	2	yes	complemented
625	#3551	C₂×C₁₉	1	2	yes	complemented
626	#3538	C₂×C₁₉	1	1	yes	characteristic, complemented
627	#3537	C₂×C₁₉	1	1	yes	characteristic, complemented
628	#3536	C₂×C₁₉	1	2	yes	complemented
629	#3516	C₂×C₁₉	1	4	yes	complemented
630	#3515	C₂×C₁₉	1	4	yes	complemented
631	#3514	C₂×C₁₉	1	4	yes	complemented
632	#3513	C₂×C₁₉	1	8	yes	complemented
633	#3513	C₂×C₁₉	1	4	yes	complemented
634	#3512	C₂×C₁₉	1	2	yes	complemented
635	#3510	C₂×C₁₉	1	2	yes	complemented
636	#3493	C₂×C₁₉	1	4	yes	complemented
637	#3491	C₂×C₁₉	1	4	yes	complemented
638	#3444	C₂×C₁₉	1	1	yes	characteristic, complemented
639	C₂×#529	C₂×C₁₉	1	2	yes	complemented
640	C₂²×C₁₉	—	2	2	no	—
641	C₂²×C₁₉	—	2	2	no	—
642	C₂²×C₁₉	—	2	2	no	—
643	C₂²×C₁₉	—	2	1	no	—
644	C₂²×C₁₉	—	2	2	no	—
645	C₂²×C₁₉	—	2	4	no	—
646	C₂²×C₁₉	—	2	8	no	—
647	C₂²×C₁₉	—	2	2	no	—
648	C₂²×C₁₉	—	2	8	no	—
649	C₂²×C₁₉	—	2	8	no	—
650	C₂²×C₁₉	—	2	4	no	—
651	C₂²×C₁₉	—	4	4	no	—
652	C₂²×C₁₉	—	8	8	no	—
653	C₂²×C₁₉	—	16	4	no	—
654	C₂²×C₁₉	#585	1	4	yes	—
655	C₂²×C₁₉	C₂⁶	1	1	yes	characteristic
656	C₄×C₁₉	—	2	2	no	—
657	C₄×C₁₉	—	2	2	no	—
658	C₄×C₁₉	—	2	2	no	—
659	C₄×C₁₉	—	2	8	no	—
660	C₄×C₁₉	—	2	2	no	—
661	C₄×C₁₉	—	2	2	no	—
662	C₄×C₁₉	—	2	2	no	—
663	C₄×C₁₉	—	2	1	no	—
664	C₄×C₁₉	—	2	2	no	—
665	C₄×C₁₉	—	2	8	no	—
666	C₄×C₁₉	—	2	4	no	—
667	C₄×C₁₉	—	2	4	no	—
668	C₄×C₁₉	—	2	8	no	—
669	C₄×C₁₉	#585	1	2	yes	—
670	#563	C₂²×C₁₉	1	4	yes	complemented
671	#563	C₂²×C₁₉	1	4	yes	complemented
672	#563	C₂²×C₁₉	1	8	yes	complemented
673	#562	C₂²×C₁₉	1	8	yes	complemented
674	#560	C₂²×C₁₉	1	4	yes	—
675	#560	C₂²×C₁₉	1	4	yes	complemented
676	#559	C₂²×C₁₉	1	8	yes	complemented
677	#559	C₂²×C₁₉	1	4	yes	complemented
678	#557	C₂²×C₁₉	1	4	yes	complemented
679	#556	C₂²×C₁₉	1	8	yes	complemented
680	#556	C₂²×C₁₉	1	8	yes	complemented
681	#556	C₂²×C₁₉	1	4	yes	complemented
682	#555	C₂²×C₁₉	1	4	yes	complemented
683	#555	C₂²×C₁₉	1	8	yes	complemented
684	#554	C₂²×C₁₉	1	4	yes	complemented
685	#554	C₂²×C₁₉	1	8	yes	complemented
686	#554	C₂²×C₁₉	1	4	yes	complemented
687	#553	C₂²×C₁₉	1	4	yes	—
688	#553	C₂²×C₁₉	1	8	yes	complemented
689	#553	C₂²×C₁₉	1	8	yes	complemented
690	#553	C₂²×C₁₉	1	8	yes	complemented
691	#553	C₂²×C₁₉	1	8	yes	complemented
692	#553	C₂²×C₁₉	1	4	yes	complemented
693	#553	C₂²×C₁₉	1	8	yes	complemented
694	#552	C₂²×C₁₉	1	8	yes	complemented
695	#552	C₂²×C₁₉	1	8	yes	complemented
696	#552	C₂²×C₁₉	1	8	yes	complemented
697	#552	C₂²×C₁₉	1	8	yes	complemented
698	#552	C₂²×C₁₉	1	8	yes	complemented
699	#552	C₂²×C₁₉	1	4	yes	complemented
700	#552	C₂²×C₁₉	1	8	yes	complemented
701	#552	C₂²×C₁₉	1	4	yes	complemented
702	#551	C₂²×C₁₉	1	4	yes	complemented
703	#551	C₂²×C₁₉	1	8	yes	complemented
704	#551	C₂²×C₁₉	1	8	yes	complemented
705	#551	C₂²×C₁₉	1	8	yes	complemented
706	#551	C₂²×C₁₉	1	8	yes	complemented
707	#551	C₂²×C₁₉	1	4	yes	complemented
708	#551	C₂²×C₁₉	1	8	yes	complemented
709	#551	C₂²×C₁₉	1	8	yes	complemented
710	D₄×Q₈	C₂²×C₁₉	1	4	yes	complemented
711	#548	C₂²×C₁₉	1	4	yes	complemented
712	#548	C₂²×C₁₉	1	4	yes	complemented
713	#547	C₂²×C₁₉	1	4	yes	complemented
714	#547	C₂²×C₁₉	1	8	yes	complemented
715	#546	C₂²×C₁₉	1	8	yes	complemented
716	#546	C₂²×C₁₉	1	8	yes	complemented
717	#546	C₂²×C₁₉	1	4	yes	complemented
718	#546	C₂²×C₁₉	1	4	yes	complemented
719	#546	C₂²×C₁₉	1	8	yes	complemented
720	D₄²	C₂²×C₁₉	1	4	yes	—
721	D₄²	C₂²×C₁₉	1	4	yes	—
722	#544	C₂²×C₁₉	1	4	yes	complemented
723	#543	C₂²×C₁₉	1	4	yes	complemented
724	#542	C₂²×C₁₉	1	4	yes	complemented
725	#542	C₂²×C₁₉	1	4	yes	complemented
726	#542	C₂²×C₁₉	1	8	yes	complemented
727	#542	C₂²×C₁₉	1	8	yes	complemented
728	#542	C₂²×C₁₉	1	8	yes	complemented
729	#541	C₂²×C₁₉	1	2	yes	complemented
730	#541	C₂²×C₁₉	1	2	yes	complemented
731	#541	C₂²×C₁₉	1	8	yes	complemented
732	#541	C₂²×C₁₉	1	8	yes	complemented
733	#540	C₂²×C₁₉	1	2	yes	—
734	#540	C₂²×C₁₉	1	2	yes	complemented
735	#540	C₂²×C₁₉	1	8	yes	complemented
736	#539	C₂²×C₁₉	1	8	yes	complemented
737	#539	C₂²×C₁₉	1	4	yes	complemented
738	#539	C₂²×C₁₉	1	4	yes	complemented
739	#539	C₂²×C₁₉	1	8	yes	complemented
740	#539	C₂²×C₁₉	1	8	yes	complemented
741	#539	C₂²×C₁₉	1	8	yes	complemented
742	#538	C₂²×C₁₉	1	4	yes	—
743	#538	C₂²×C₁₉	1	8	yes	complemented
744	#538	C₂²×C₁₉	1	4	yes	complemented
745	#538	C₂²×C₁₉	1	8	yes	complemented
746	#538	C₂²×C₁₉	1	8	yes	complemented
747	#538	C₂²×C₁₉	1	8	yes	complemented
748	#537	C₂²×C₁₉	1	4	yes	complemented
749	#537	C₂²×C₁₉	1	4	yes	complemented
750	#536	C₂²×C₁₉	1	2	yes	complemented
751	#535	C₂²×C₁₉	1	2	yes	—
752	#534	C₂²×C₁₉	1	4	yes	—
753	#533	C₂²×C₁₉	1	1	yes	characteristic, complemented
754	#533	C₂²×C₁₉	1	2	yes	complemented
755	#533	C₂²×C₁₉	1	2	yes	complemented
756	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
757	#532	C₂²×C₁₉	1	2	yes	complemented
758	#532	C₂²×C₁₉	1	2	yes	complemented
759	#529	C₂²×C₁₉	1	4	yes	complemented
760	#529	C₂²×C₁₉	1	4	yes	complemented
761	#529	C₂²×C₁₉	1	4	yes	complemented
762	#529	C₂²×C₁₉	1	4	yes	complemented
763	#529	C₂²×C₁₉	1	4	yes	complemented
764	#529	C₂²×C₁₉	1	4	yes	complemented
765	#529	C₂²×C₁₉	1	4	yes	complemented
766	#529	C₂²×C₁₉	1	4	yes	complemented
767	#529	C₂²×C₁₉	1	2	yes	complemented
768	#529	C₂²×C₁₉	1	2	yes	complemented
769	#529	C₂²×C₁₉	1	4	yes	complemented
770	#529	C₂²×C₁₉	1	4	yes	complemented
771	#529	C₂²×C₁₉	1	8	yes	complemented
772	#529	C₂²×C₁₉	1	8	yes	complemented
773	#529	C₂²×C₁₉	1	4	yes	complemented
774	#529	C₂²×C₁₉	1	4	yes	complemented
775	C₂×#126	C₂²×C₁₉	1	4	yes	complemented
776	C₂×#125	C₂²×C₁₉	1	2	yes	complemented
777	C₂×#125	C₂²×C₁₉	1	2	yes	complemented
778	C₂×#124	C₂²×C₁₉	1	2	yes	complemented
779	C₂×#124	C₂²×C₁₉	1	2	yes	complemented
780	#525	C₂²×C₁₉	1	1	yes	characteristic
781	#525	C₂²×C₁₉	1	4	yes	complemented
782	#525	C₂²×C₁₉	1	1	yes	characteristic, complemented
783	#525	C₂²×C₁₉	1	8	yes	complemented
784	C₂×#123	C₂²×C₁₉	1	4	yes	complemented
785	C₂×#123	C₂²×C₁₉	1	8	yes	complemented
786	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	2	yes	complemented
787	C₂×#121	C₂²×C₁₉	1	2	yes	—
788	#520	C₂²×C₁₉	1	8	yes	complemented
789	#520	C₂²×C₁₉	1	4	yes	complemented
790	#519	C₂²×C₁₉	1	2	yes	complemented
791	#518	C₂²×C₁₉	1	8	yes	complemented
792	#518	C₂²×C₁₉	1	2	yes	complemented
793	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic, complemented
794	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic, complemented
795	C₄×#41	C₂²×C₁₉	1	4	yes	complemented
796	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
797	C₂×C₄×D₄	C₂²×C₁₉	1	4	yes	complemented
798	C₂×C₄×D₄	C₂²×C₁₉	1	2	yes	complemented
799	C₂×#117	C₂²×C₁₉	1	4	yes	complemented
800	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
801	C₂×C₁₉	—	2	4	no	—
802	C₂×C₁₉	—	4	2	no	—
803	C₂×C₁₉	—	4	1	no	—
804	C₂×C₁₉	—	4	8	no	—
805	C₂×C₁₉	—	4	2	no	—
806	C₂×C₁₉	C₂×#585	1	2	yes	—
807	C₂×C₁₉	C₂×#585	1	1	yes	characteristic
808	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
809	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
810	C₂×#41	C₂³×C₁₉	1	4	yes	—
811	C₂×#41	C₂³×C₁₉	1	8	yes	—
812	C₂×#41	C₂³×C₁₉	1	4	yes	—
813	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
814	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
815	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
816	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
817	C₂²×D₄	C₂³×C₁₉	1	8	yes	—
818	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
819	C₂³×C₄	C₂³×C₁₉	1	4	yes	—
820	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
821	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
822	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
823	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
824	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
825	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
826	C₄⋊Q₈	C₂³×C₁₉	1	4	yes	—
827	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
828	C₄⋊Q₈	C₂³×C₁₉	1	8	yes	—
829	#127	C₂³×C₁₉	1	1	yes	characteristic
830	#127	C₂³×C₁₉	1	2	yes	—
831	#127	C₂³×C₁₉	1	4	yes	—
832	#126	C₂³×C₁₉	1	8	yes	—
833	#126	C₂³×C₁₉	1	8	yes	—
834	#126	C₂³×C₁₉	1	8	yes	—
835	#126	C₂³×C₁₉	1	8	yes	—
836	#126	C₂³×C₁₉	1	4	yes	—
837	#126	C₂³×C₁₉	1	4	yes	—
838	#126	C₂³×C₁₉	1	8	yes	—
839	#126	C₂³×C₁₉	1	8	yes	—
840	#126	C₂³×C₁₉	1	8	yes	—
841	#126	C₂³×C₁₉	1	8	yes	—
842	#126	C₂³×C₁₉	1	8	yes	—
843	#126	C₂³×C₁₉	1	8	yes	—
844	#126	C₂³×C₁₉	1	8	yes	—
845	#126	C₂³×C₁₉	1	8	yes	—
846	#126	C₂³×C₁₉	1	8	yes	—
847	#126	C₂³×C₁₉	1	8	yes	—
848	#126	C₂³×C₁₉	1	8	yes	—
849	#126	C₂³×C₁₉	1	8	yes	—
850	#125	C₂³×C₁₉	1	4	yes	—
851	#125	C₂³×C₁₉	1	4	yes	—
852	#125	C₂³×C₁₉	1	4	yes	—
853	#125	C₂³×C₁₉	1	4	yes	—
854	#125	C₂³×C₁₉	1	8	yes	—
855	#125	C₂³×C₁₉	1	2	yes	—
856	#125	C₂³×C₁₉	1	2	yes	—
857	#125	C₂³×C₁₉	1	4	yes	—
858	#125	C₂³×C₁₉	1	2	yes	—
859	#125	C₂³×C₁₉	1	8	yes	—
860	#125	C₂³×C₁₉	1	8	yes	—
861	#125	C₂³×C₁₉	1	8	yes	—
862	#125	C₂³×C₁₉	1	8	yes	—
863	#125	C₂³×C₁₉	1	8	yes	—
864	#125	C₂³×C₁₉	1	8	yes	—
865	#125	C₂³×C₁₉	1	8	yes	—
866	#124	C₂³×C₁₉	1	4	yes	—
867	#124	C₂³×C₁₉	1	4	yes	—
868	#124	C₂³×C₁₉	1	4	yes	—
869	#124	C₂³×C₁₉	1	4	yes	—
870	#124	C₂³×C₁₉	1	8	yes	—
871	#124	C₂³×C₁₉	1	4	yes	—
872	#124	C₂³×C₁₉	1	4	yes	—
873	#124	C₂³×C₁₉	1	1	yes	characteristic
874	#124	C₂³×C₁₉	1	1	yes	characteristic
875	#124	C₂³×C₁₉	1	8	yes	—
876	#124	C₂³×C₁₉	1	8	yes	—
877	#124	C₂³×C₁₉	1	4	yes	—
878	#124	C₂³×C₁₉	1	4	yes	—
879	#124	C₂³×C₁₉	1	8	yes	—
880	#124	C₂³×C₁₉	1	8	yes	—
881	#124	C₂³×C₁₉	1	8	yes	—
882	#123	C₂³×C₁₉	1	8	yes	—
883	#123	C₂³×C₁₉	1	4	yes	—
884	#123	C₂³×C₁₉	1	8	yes	—
885	#123	C₂³×C₁₉	1	8	yes	—
886	#123	C₂³×C₁₉	1	8	yes	—
887	#123	C₂³×C₁₉	1	8	yes	—
888	#123	C₂³×C₁₉	1	8	yes	—
889	#123	C₂³×C₁₉	1	8	yes	—
890	#123	C₂³×C₁₉	1	8	yes	—
891	#123	C₂³×C₁₉	1	8	yes	—
892	#123	C₂³×C₁₉	1	8	yes	—
893	#123	C₂³×C₁₉	1	2	yes	—
894	#123	C₂³×C₁₉	1	4	yes	—
895	#123	C₂³×C₁₉	1	2	yes	—
896	#123	C₂³×C₁₉	1	8	yes	—
897	#123	C₂³×C₁₉	1	8	yes	—
898	#123	C₂³×C₁₉	1	8	yes	—
899	#123	C₂³×C₁₉	1	8	yes	—
900	#123	C₂³×C₁₉	1	4	yes	—
901	#123	C₂³×C₁₉	1	4	yes	—
902	#123	C₂³×C₁₉	1	8	yes	—
903	#123	C₂³×C₁₉	1	8	yes	—
904	#123	C₂³×C₁₉	1	8	yes	—
905	#123	C₂³×C₁₉	1	8	yes	—
906	#123	C₂³×C₁₉	1	8	yes	—
907	#123	C₂³×C₁₉	1	8	yes	—
908	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
909	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
910	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
911	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
912	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
913	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
914	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
915	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
916	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
917	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
918	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
919	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
920	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
921	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
922	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
923	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
924	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
925	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
926	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
927	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
928	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
929	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
930	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
931	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
932	C₂²⋊Q₈	C₂³×C₁₉	1	8	yes	—
933	#121	C₂³×C₁₉	1	4	yes	—
934	#121	C₂³×C₁₉	1	4	yes	—
935	#121	C₂³×C₁₉	1	4	yes	—
936	#121	C₂³×C₁₉	1	4	yes	—
937	#121	C₂³×C₁₉	1	2	yes	—
938	#121	C₂³×C₁₉	1	2	yes	—
939	#121	C₂³×C₁₉	1	4	yes	—
940	#121	C₂³×C₁₉	1	4	yes	—
941	#121	C₂³×C₁₉	1	8	yes	—
942	#121	C₂³×C₁₉	1	8	yes	—
943	#121	C₂³×C₁₉	1	8	yes	—
944	#121	C₂³×C₁₉	1	4	yes	—
945	#121	C₂³×C₁₉	1	8	yes	—
946	#121	C₂³×C₁₉	1	4	yes	—
947	#121	C₂³×C₁₉	1	8	yes	—
948	#121	C₂³×C₁₉	1	8	yes	—
949	#121	C₂³×C₁₉	1	8	yes	—
950	#121	C₂³×C₁₉	1	8	yes	—
951	#121	C₂³×C₁₉	1	8	yes	—
952	#121	C₂³×C₁₉	1	8	yes	—
953	#121	C₂³×C₁₉	1	8	yes	—
954	#121	C₂³×C₁₉	1	8	yes	—
955	#121	C₂³×C₁₉	1	8	yes	—
956	#120	C₂³×C₁₉	1	2	yes	—
957	#120	C₂³×C₁₉	1	2	yes	—
958	#120	C₂³×C₁₉	1	8	yes	—
959	#120	C₂³×C₁₉	1	8	yes	—
960	#120	C₂³×C₁₉	1	4	yes	—
961	#120	C₂³×C₁₉	1	8	yes	—
962	#120	C₂³×C₁₉	1	4	yes	—
963	#120	C₂³×C₁₉	1	8	yes	—
964	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
965	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
966	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
967	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
968	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
969	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
970	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
971	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
972	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
973	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
974	C₄×Q₈	C₂³×C₁₉	1	4	yes	—
975	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
976	C₄×Q₈	C₂³×C₁₉	1	8	yes	—
977	C₄×D₄	C₂³×C₁₉	1	8	yes	—
978	C₄×D₄	C₂³×C₁₉	1	4	yes	—
979	C₄×D₄	C₂³×C₁₉	1	4	yes	—
980	C₄×D₄	C₂³×C₁₉	1	8	yes	—
981	C₄×D₄	C₂³×C₁₉	1	8	yes	—
982	C₄×D₄	C₂³×C₁₉	1	4	yes	—
983	C₄×D₄	C₂³×C₁₉	1	4	yes	—
984	C₄×D₄	C₂³×C₁₉	1	8	yes	—
985	C₄×D₄	C₂³×C₁₉	1	4	yes	—
986	C₄×D₄	C₂³×C₁₉	1	4	yes	—
987	C₄×D₄	C₂³×C₁₉	1	4	yes	—
988	C₄×D₄	C₂³×C₁₉	1	4	yes	—
989	C₄×D₄	C₂³×C₁₉	1	4	yes	—
990	C₄×D₄	C₂³×C₁₉	1	4	yes	—
991	C₄×D₄	C₂³×C₁₉	1	4	yes	—
992	C₄×D₄	C₂³×C₁₉	1	4	yes	—
993	C₄×D₄	C₂³×C₁₉	1	2	yes	—
994	C₄×D₄	C₂³×C₁₉	1	2	yes	—
995	C₄×D₄	C₂³×C₁₉	1	8	yes	—
996	C₄×D₄	C₂³×C₁₉	1	8	yes	—
997	C₄×D₄	C₂³×C₁₉	1	8	yes	—
998	C₄×D₄	C₂³×C₁₉	1	8	yes	—
999	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1000	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1001	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1002	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1003	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1004	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1005	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1006	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1007	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1008	C₄×D₄	C₂³×C₁₉	1	4	yes	—
1009	C₄×D₄	C₂³×C₁₉	1	8	yes	—
1010	#117	C₂³×C₁₉	1	8	yes	—
1011	#117	C₂³×C₁₉	1	8	yes	—
1012	#117	C₂³×C₁₉	1	8	yes	—
1013	#117	C₂³×C₁₉	1	8	yes	—
1014	#117	C₂³×C₁₉	1	2	yes	—
1015	#117	C₂³×C₁₉	1	2	yes	—
1016	#117	C₂³×C₁₉	1	1	yes	characteristic
1017	#117	C₂³×C₁₉	1	1	yes	characteristic
1018	#117	C₂³×C₁₉	1	4	yes	—
1019	#117	C₂³×C₁₉	1	4	yes	—
1020	#117	C₂³×C₁₉	1	4	yes	—
1021	#117	C₂³×C₁₉	1	8	yes	—
1022	#117	C₂³×C₁₉	1	8	yes	—
1023	#117	C₂³×C₁₉	1	2	yes	—
1024	#117	C₂³×C₁₉	1	8	yes	—
1025	#117	C₂³×C₁₉	1	2	yes	—
1026	#117	C₂³×C₁₉	1	8	yes	—
1027	#117	C₂³×C₁₉	1	8	yes	—
1028	#117	C₂³×C₁₉	1	8	yes	—
1029	#117	C₂³×C₁₉	1	8	yes	—
1030	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1031	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1032	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1033	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1034	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
1035	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1036	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
1037	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
1038	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
1039	C₂×C₄⋊C₄	C₂³×C₁₉	1	8	yes	—
1040	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1041	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1042	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1043	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
1045	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
1046	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
1047	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
1048	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
1049	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1050	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
1051	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1052	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1053	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1054	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1055	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1056	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1057	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
1058	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
1059	C₁₉	#62829	1	1	yes	characteristic, direct product factor, Sylow
1060	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
1061	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
1062	C₂⁴	C₂⁴×C₁₉	1	4	yes	—
1063	#41	—	4	2	no	—
1064	#41	—	4	2	no	—
1065	#41	—	4	8	no	—
1066	#41	—	4	16	no	—
1067	#41	—	4	8	no	—
1068	C₂×Q₈	—	4	4	no	—
1069	C₂×Q₈	—	4	4	no	—
1070	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1071	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1072	C₂×Q₈	C₂⁴×C₁₉	1	8	yes	—
1073	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1074	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1075	C₂×Q₈	C₂⁴×C₁₉	1	4	yes	—
1076	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	8	no	—
1080	C₂×D₄	—	4	16	no	—
1081	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1082	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1083	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1084	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1085	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1086	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1087	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1088	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1089	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1090	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1091	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1092	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1093	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
1094	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1095	C₂×D₄	C₂⁴×C₁₉	1	8	yes	—
1096	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1097	C₂²×C₄	—	4	2	no	—
1098	C₂²×C₄	—	4	4	no	—
1099	C₂²×C₄	—	4	8	no	—
1100	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1101	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1102	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1103	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1105	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1106	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1107	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1108	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1109	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1110	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1111	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1112	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1114	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1115	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1116	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1117	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1118	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1119	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
1120	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1121	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1122	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1123	C₂²×C₄	C₂⁴×C₁₉	1	8	yes	—
1124	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1125	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1126	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1127	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1128	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1129	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1130	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1131	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1132	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1133	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1134	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1135	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1136	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1137	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1138	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1139	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1140	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1141	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1142	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1143	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1144	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1145	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1146	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1147	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1148	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1149	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1150	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1151	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1152	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1153	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1154	C₄⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1155	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1156	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1157	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1158	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1159	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1160	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1161	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1162	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1163	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1164	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1165	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1166	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1167	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1168	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1169	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1170	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1171	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1172	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1173	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1174	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1175	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1176	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1177	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1178	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1179	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1180	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1181	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1182	C₂²⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1183	C₂²⋊C₄	C₂⁴×C₁₉	1	8	yes	—
1184	C₂²⋊C₄	C₂⁴×C₁₉	1	4	yes	—
1185	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1186	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1187	C₄²	C₂⁴×C₁₉	1	2	yes	—
1188	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1189	C₄²	C₂⁴×C₁₉	1	2	yes	—
1190	C₄²	C₂⁴×C₁₉	1	2	yes	—
1191	C₄²	C₂⁴×C₁₉	1	2	yes	—
1192	C₄²	C₂⁴×C₁₉	1	2	yes	—
1193	C₄²	C₂⁴×C₁₉	1	2	yes	—
1194	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1195	C₄²	C₂⁴×C₁₉	1	4	yes	—
1196	C₄²	C₂⁴×C₁₉	1	8	yes	—
1197	C₄²	C₂⁴×C₁₉	1	8	yes	—
1198	C₄²	C₂⁴×C₁₉	1	4	yes	—
1199	C₄²	C₂⁴×C₁₉	1	2	yes	—
1200	C₄²	C₂⁴×C₁₉	1	2	yes	—
1201	C₄²	C₂⁴×C₁₉	1	4	yes	—
1202	C₄²	C₂⁴×C₁₉	1	8	yes	—
1203	C₄²	C₂⁴×C₁₉	1	8	yes	—
1204	C₄²	C₂⁴×C₁₉	1	4	yes	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	8	no	—
1207	C₂³	—	4	1	no	—
1208	C₂³	—	4	4	no	—
1209	C₂³	—	4	4	no	—
1210	C₂³	—	4	4	no	—
1211	C₂³	—	4	8	no	—
1212	C₂³	C₂⁵×C₁₉	1	2	yes	—
1213	C₂³	C₂⁵×C₁₉	1	8	yes	—
1214	C₂³	C₂⁵×C₁₉	1	1	yes	characteristic
1215	C₂³	C₂⁵×C₁₉	1	2	yes	—
1216	C₂³	C₂⁵×C₁₉	1	2	yes	—
1217	Q₈	—	2	8	no	—
1218	Q₈	—	4	4	no	—
1219	Q₈	—	4	4	no	—
1220	Q₈	—	4	1	no	—
1221	Q₈	—	4	8	no	—
1222	Q₈	—	4	1	no	—
1223	Q₈	—	4	4	no	—
1224	D₄	—	2	16	no	—
1225	D₄	—	2	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	4	4	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	4	8	no	—
1233	D₄	—	4	2	no	—
1234	D₄	—	4	8	no	—
1235	D₄	—	4	1	no	—
1236	D₄	—	4	1	no	—
1237	D₄	—	4	4	no	—
1238	D₄	—	4	2	no	—
1239	D₄	—	4	8	no	—
1240	C₂×C₄	—	2	4	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	8	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	4	no	—
1247	C₂×C₄	—	4	2	no	—
1248	C₂×C₄	—	4	2	no	—
1249	C₂×C₄	—	4	8	no	—
1250	C₂×C₄	—	4	8	no	—
1251	C₂×C₄	—	4	2	no	—
1252	C₂×C₄	—	4	2	no	—
1253	C₂×C₄	—	4	2	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	4	no	—
1256	C₂×C₄	—	4	8	no	—
1257	C₂×C₄	—	4	4	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	4	8	no	—
1262	C₂×C₄	—	4	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1265	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1266	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1267	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1268	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1269	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
1270	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1271	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1272	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1273	C₂×C₄	C₂⁵×C₁₉	1	4	yes	—
1274	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
1275	C₂×C₄	C₂⁵×C₁₉	1	2	yes	—
1276	C₂×C₄	C₂⁵×C₁₉	1	8	yes	—
1277	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	1	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	4	no	—
1284	C₂²	—	2	8	no	—
1285	C₂²	—	2	2	no	—
1286	C₂²	—	2	8	no	—
1287	C₂²	—	2	8	no	—
1288	C₂²	—	2	4	no	—
1289	C₂²	—	4	4	no	—
1290	C₂²	—	8	8	no	—
1291	C₂²	—	16	4	no	—
1292	C₂²	C₁₉×#585	1	4	yes	—
1293	C₂²	C₂⁶×C₁₉	1	1	yes	characteristic
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	8	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	8	no	—
1304	C₄	—	2	4	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	2	8	no	—
1307	C₄	C₁₉×#585	1	2	yes	—
1308	C₂	—	2	4	no	—
1309	C₂	—	4	1	no	—
1310	C₂	—	4	8	no	—
1311	C₂	—	4	2	no	—
1312	C₂	—	4	2	no	—
1313	C₂	C₂×C₁₉×#585	1	2	yes	—
1314	C₂	C₂×C₁₉×#585	1	1	yes	characteristic

	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×#3566	C₂	semidirect
2. C₁₉×#3564	C₂	semidirect
3. C₁₉×#3560	C₂	semidirect
4. C₁₉×#3557	C₂	semidirect
5. C₁₉×#3551	C₂	semidirect
6. C₁₉×#3538	C₂	semidirect
7. C₁₉×#3537	C₂	semidirect
8. C₁₉×#3536	C₂	semidirect
9. C₁₉×#3516	C₂	semidirect
10. C₁₉×#3515	C₂	semidirect
11. C₁₉×#3514	C₂	semidirect
12. C₁₉×#3513	C₂	semidirect
13. C₁₉×#3513	C₂	semidirect
14. C₁₉×#3512	C₂	semidirect
15. C₁₉×#3510	C₂	semidirect
16. C₁₉×#3493	C₂	semidirect
17. C₁₉×#3491	C₂	semidirect
18. C₁₉×#3444	C₂	semidirect
19. C₂×C₁₉×#529	C₂	semidirect
20. C₁₉×#563	C₂²	semidirect
21. C₁₉×#563	C₂²	semidirect
22. C₁₉×#563	C₂²	semidirect
23. 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×#556	C₂²	semidirect
32. C₁₉×#555	C₂²	semidirect
33. C₁₉×#555	C₂²	semidirect
34. C₁₉×#554	C₂²	semidirect
35. C₁₉×#554	C₂²	semidirect
36. C₁₉×#554	C₂²	semidirect
38. C₁₉×#553	C₂²	semidirect
39. C₁₉×#553	C₂²	semidirect
40. C₁₉×#553	C₂²	semidirect
41. C₁₉×#553	C₂²	semidirect
42. C₁₉×#553	C₂²	semidirect
43. C₁₉×#553	C₂²	semidirect
44. C₁₉×#552	C₂²	semidirect
45. C₁₉×#552	C₂²	semidirect
46. C₁₉×#552	C₂²	semidirect
47. C₁₉×#552	C₂²	semidirect
48. C₁₉×#552	C₂²	semidirect
49. C₁₉×#552	C₂²	semidirect
50. C₁₉×#552	C₂²	semidirect
51. C₁₉×#552	C₂²	semidirect
52. C₁₉×#551	C₂²	semidirect
53. C₁₉×#551	C₂²	semidirect
54. C₁₉×#551	C₂²	semidirect
55. C₁₉×#551	C₂²	semidirect
56. C₁₉×#551	C₂²	semidirect
57. C₁₉×#551	C₂²	semidirect
58. C₁₉×#551	C₂²	semidirect
59. C₁₉×#551	C₂²	semidirect
60. D₄×Q₈×C₁₉	C₂²	semidirect
61. C₁₉×#548	C₂²	semidirect
62. C₁₉×#548	C₂²	semidirect
63. C₁₉×#547	C₂²	semidirect
64. C₁₉×#547	C₂²	semidirect
65. C₁₉×#546	C₂²	semidirect
66. C₁₉×#546	C₂²	semidirect
67. C₁₉×#546	C₂²	semidirect
68. C₁₉×#546	C₂²	semidirect
69. C₁₉×#546	C₂²	semidirect
72. C₁₉×#544	C₂²	semidirect
73. C₁₉×#543	C₂²	semidirect
74. C₁₉×#542	C₂²	semidirect
75. C₁₉×#542	C₂²	semidirect
76. C₁₉×#542	C₂²	semidirect
77. C₁₉×#542	C₂²	semidirect
78. C₁₉×#542	C₂²	semidirect
79. C₁₉×#541	C₂²	semidirect
80. C₁₉×#541	C₂²	semidirect
81. C₁₉×#541	C₂²	semidirect
82. C₁₉×#541	C₂²	semidirect
84. C₁₉×#540	C₂²	semidirect
85. C₁₉×#540	C₂²	semidirect
86. C₁₉×#539	C₂²	semidirect
87. C₁₉×#539	C₂²	semidirect
88. C₁₉×#539	C₂²	semidirect
89. C₁₉×#539	C₂²	semidirect
90. C₁₉×#539	C₂²	semidirect
91. C₁₉×#539	C₂²	semidirect
93. C₁₉×#538	C₂²	semidirect
94. C₁₉×#538	C₂²	semidirect
95. C₁₉×#538	C₂²	semidirect
96. C₁₉×#538	C₂²	semidirect
97. C₁₉×#538	C₂²	semidirect
98. C₁₉×#537	C₂²	semidirect
99. C₁₉×#537	C₂²	semidirect
100. C₁₉×#536	C₂²	semidirect
103. C₁₉×#533	C₂²	semidirect
104. C₁₉×#533	C₂²	semidirect
105. C₁₉×#533	C₂²	semidirect
106. C₁₉×#532	C₂²	semidirect
107. C₁₉×#532	C₂²	semidirect
108. C₁₉×#532	C₂²	semidirect
109. C₁₉×#529	C₂²	semidirect
110. C₁₉×#529	C₂²	semidirect
111. C₁₉×#529	C₂²	semidirect
112. C₁₉×#529	C₂²	semidirect
113. C₁₉×#529	C₂²	semidirect
114. C₁₉×#529	C₂²	semidirect
115. C₁₉×#529	C₂²	semidirect
116. C₁₉×#529	C₂²	semidirect
117. C₁₉×#529	C₂²	semidirect
118. C₁₉×#529	C₂²	semidirect
119. C₁₉×#529	C₂²	semidirect
120. C₁₉×#529	C₂²	semidirect
121. C₁₉×#529	C₂²	semidirect
122. C₁₉×#529	C₂²	semidirect
123. C₁₉×#529	C₂²	semidirect
124. C₁₉×#529	C₂²	semidirect
125. C₂×C₁₉×#126	C₂²	semidirect
126. C₂×C₁₉×#125	C₂²	semidirect
127. C₂×C₁₉×#125	C₂²	semidirect
128. C₂×C₁₉×#124	C₂²	semidirect
129. C₂×C₁₉×#124	C₂²	semidirect
131. C₁₉×#525	C₂²	semidirect
132. C₁₉×#525	C₂²	semidirect
133. C₁₉×#525	C₂²	semidirect
134. C₂×C₁₉×#123	C₂²	semidirect
135. C₂×C₁₉×#123	C₂²	semidirect
136. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
138. C₁₉×#520	C₂²	semidirect
139. C₁₉×#520	C₂²	semidirect
140. C₁₉×#519	C₂²	semidirect
141. C₁₉×#518	C₂²	semidirect
142. C₁₉×#518	C₂²	semidirect
143. C₄×#41×C₁₉	C₂²	semidirect
144. C₄×#41×C₁₉	C₂²	semidirect
145. C₄×#41×C₁₉	C₂²	semidirect
146. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
147. C₂×C₄×D₄×C₁₉	C₂²	semidirect
148. C₂×C₄×D₄×C₁₉	C₂²	semidirect
149. C₂×C₁₉×#117	C₂²	semidirect
150. C₂²×C₄²×C₁₉	C₂²	semidirect
547. #62829	C₁₉	direct (N × H)
621. #3566	C₂×C₁₉	semidirect
622. #3564	C₂×C₁₉	semidirect
623. #3560	C₂×C₁₉	semidirect
624. #3557	C₂×C₁₉	semidirect
625. #3551	C₂×C₁₉	semidirect
626. #3538	C₂×C₁₉	semidirect
627. #3537	C₂×C₁₉	semidirect
628. #3536	C₂×C₁₉	semidirect
629. #3516	C₂×C₁₉	semidirect
630. #3515	C₂×C₁₉	semidirect
631. #3514	C₂×C₁₉	semidirect
632. #3513	C₂×C₁₉	semidirect
633. #3513	C₂×C₁₉	semidirect
634. #3512	C₂×C₁₉	semidirect
635. #3510	C₂×C₁₉	semidirect
636. #3493	C₂×C₁₉	semidirect
637. #3491	C₂×C₁₉	semidirect
638. #3444	C₂×C₁₉	semidirect
639. C₂×#529	C₂×C₁₉	semidirect
670. #563	C₂²×C₁₉	semidirect
671. #563	C₂²×C₁₉	semidirect
672. #563	C₂²×C₁₉	semidirect
673. #562	C₂²×C₁₉	semidirect
675. #560	C₂²×C₁₉	semidirect
676. #559	C₂²×C₁₉	semidirect
677. #559	C₂²×C₁₉	semidirect
678. #557	C₂²×C₁₉	semidirect
679. #556	C₂²×C₁₉	semidirect
680. #556	C₂²×C₁₉	semidirect
681. #556	C₂²×C₁₉	semidirect
682. #555	C₂²×C₁₉	semidirect
683. #555	C₂²×C₁₉	semidirect
684. #554	C₂²×C₁₉	semidirect
685. #554	C₂²×C₁₉	semidirect
686. #554	C₂²×C₁₉	semidirect
688. #553	C₂²×C₁₉	semidirect
689. #553	C₂²×C₁₉	semidirect
690. #553	C₂²×C₁₉	semidirect
691. #553	C₂²×C₁₉	semidirect
692. #553	C₂²×C₁₉	semidirect
693. #553	C₂²×C₁₉	semidirect
694. #552	C₂²×C₁₉	semidirect
695. #552	C₂²×C₁₉	semidirect
696. #552	C₂²×C₁₉	semidirect
697. #552	C₂²×C₁₉	semidirect
698. #552	C₂²×C₁₉	semidirect
699. #552	C₂²×C₁₉	semidirect
700. #552	C₂²×C₁₉	semidirect
701. #552	C₂²×C₁₉	semidirect
702. #551	C₂²×C₁₉	semidirect
703. #551	C₂²×C₁₉	semidirect
704. #551	C₂²×C₁₉	semidirect
705. #551	C₂²×C₁₉	semidirect
706. #551	C₂²×C₁₉	semidirect
707. #551	C₂²×C₁₉	semidirect
708. #551	C₂²×C₁₉	semidirect
709. #551	C₂²×C₁₉	semidirect
710. D₄×Q₈	C₂²×C₁₉	semidirect
711. #548	C₂²×C₁₉	semidirect
712. #548	C₂²×C₁₉	semidirect
713. #547	C₂²×C₁₉	semidirect
714. #547	C₂²×C₁₉	semidirect
715. #546	C₂²×C₁₉	semidirect
716. #546	C₂²×C₁₉	semidirect
717. #546	C₂²×C₁₉	semidirect
718. #546	C₂²×C₁₉	semidirect
719. #546	C₂²×C₁₉	semidirect
722. #544	C₂²×C₁₉	semidirect
723. #543	C₂²×C₁₉	semidirect
724. #542	C₂²×C₁₉	semidirect
725. #542	C₂²×C₁₉	semidirect
726. #542	C₂²×C₁₉	semidirect
727. #542	C₂²×C₁₉	semidirect
728. #542	C₂²×C₁₉	semidirect
729. #541	C₂²×C₁₉	semidirect
730. #541	C₂²×C₁₉	semidirect
731. #541	C₂²×C₁₉	semidirect
732. #541	C₂²×C₁₉	semidirect
734. #540	C₂²×C₁₉	semidirect
735. #540	C₂²×C₁₉	semidirect
736. #539	C₂²×C₁₉	semidirect
737. #539	C₂²×C₁₉	semidirect
738. #539	C₂²×C₁₉	semidirect
739. #539	C₂²×C₁₉	semidirect
740. #539	C₂²×C₁₉	semidirect
741. #539	C₂²×C₁₉	semidirect
743. #538	C₂²×C₁₉	semidirect
744. #538	C₂²×C₁₉	semidirect
745. #538	C₂²×C₁₉	semidirect
746. #538	C₂²×C₁₉	semidirect
747. #538	C₂²×C₁₉	semidirect
748. #537	C₂²×C₁₉	semidirect
749. #537	C₂²×C₁₉	semidirect
750. #536	C₂²×C₁₉	semidirect
753. #533	C₂²×C₁₉	semidirect
754. #533	C₂²×C₁₉	semidirect
755. #533	C₂²×C₁₉	semidirect
756. #532	C₂²×C₁₉	semidirect
757. #532	C₂²×C₁₉	semidirect
758. #532	C₂²×C₁₉	semidirect
759. #529	C₂²×C₁₉	semidirect
760. #529	C₂²×C₁₉	semidirect
761. #529	C₂²×C₁₉	semidirect
762. #529	C₂²×C₁₉	semidirect
763. #529	C₂²×C₁₉	semidirect
764. #529	C₂²×C₁₉	semidirect
765. #529	C₂²×C₁₉	semidirect
766. #529	C₂²×C₁₉	semidirect
767. #529	C₂²×C₁₉	semidirect
768. #529	C₂²×C₁₉	semidirect
769. #529	C₂²×C₁₉	semidirect
770. #529	C₂²×C₁₉	semidirect
771. #529	C₂²×C₁₉	semidirect
772. #529	C₂²×C₁₉	semidirect
773. #529	C₂²×C₁₉	semidirect
774. #529	C₂²×C₁₉	semidirect
775. C₂×#126	C₂²×C₁₉	semidirect
776. C₂×#125	C₂²×C₁₉	semidirect
777. C₂×#125	C₂²×C₁₉	semidirect
778. C₂×#124	C₂²×C₁₉	semidirect
779. C₂×#124	C₂²×C₁₉	semidirect
781. #525	C₂²×C₁₉	semidirect
782. #525	C₂²×C₁₉	semidirect
783. #525	C₂²×C₁₉	semidirect
784. C₂×#123	C₂²×C₁₉	semidirect
785. C₂×#123	C₂²×C₁₉	semidirect
786. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
788. #520	C₂²×C₁₉	semidirect
789. #520	C₂²×C₁₉	semidirect
790. #519	C₂²×C₁₉	semidirect
791. #518	C₂²×C₁₉	semidirect
792. #518	C₂²×C₁₉	semidirect
793. C₄×#41	C₂²×C₁₉	semidirect
794. C₄×#41	C₂²×C₁₉	semidirect
795. C₄×#41	C₂²×C₁₉	semidirect
796. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
797. C₂×C₄×D₄	C₂²×C₁₉	semidirect
798. C₂×C₄×D₄	C₂²×C₁₉	semidirect
799. C₂×#117	C₂²×C₁₉	semidirect
800. C₂²×C₄²	C₂²×C₁₉	semidirect
1059. C₁₉	#62829	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×#3566	2
C₁₉×#3564	2
C₁₉×#3560	2
C₁₉×#3557	2
C₁₉×#3551	2
C₁₉×#3538	2
C₁₉×#3537	2
C₁₉×#3536	2
C₁₉×#3516	2
C₁₉×#3515	2
C₁₉×#3514	2
C₁₉×#3513	2
C₁₉×#3512	2
C₁₉×#3510	2
C₁₉×#3493	2
C₁₉×#3491	2
C₁₉×#3444	2
C₂×C₁₉×#529	2
#62829	19

Subgroups — C19×#62829 #18068788

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62829 #18068788