Finite Group Databasebeta

← C19×#62889 #18068848

Subgroups — C19×#62889 #18068848

Order 4864.

6186 conjugacy classes of subgroups.

The subgroup lattice has 838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3564C218yesmaximal, complemented
2C19×#3563C218yesmaximal, complemented
3C19×#3563C218yesmaximal, complemented
4C19×#3557C214yesmaximal, complemented
5C19×#3556C214yesmaximal, complemented
6C19×#3555C218yesmaximal, complemented
7C19×#3555C218yesmaximal, complemented
8C19×#3509C212yesmaximal, complemented
9C19×#3507C212yesmaximal, complemented
10C19×#3504C212yesmaximal, complemented
11C19×#3502C212yesmaximal, complemented
12C19×#3495C214yesmaximal, complemented
13C19×#3458C211yesmaximal, characteristic, complemented
14C19×#3455C211yesmaximal, characteristic
15C2×C19×#541C211yesmaximal, characteristic, complemented
16C19×#564C22116yescomplemented
17C19×#563C22116yes—
18C19×#563C22116yes—
19C19×#563C22116yescomplemented
20C19×#559C2214yescomplemented
21Q82×C19C2214yescomplemented
22Q82×C19C2214yescomplemented
23C19×#557C2214yescomplemented
24C19×#557C2218yescomplemented
25C19×#557C2218yescomplemented
26C19×#557C2214yescomplemented
27C19×#557C2218yescomplemented
28C19×#557C2214yescomplemented
29C19×#557C2218yescomplemented
30C19×#557C22116yescomplemented
31C19×#556C2218yes—
32C19×#556C22116yes—
33C19×#556C2214yescomplemented
34C19×#556C2218yescomplemented
35C19×#556C2218yescomplemented
36C19×#554C2218yes—
37C19×#554C22116yes—
38C19×#554C2218yescomplemented
39C19×#554C2214yescomplemented
40C19×#552C2218yes—
41C19×#552C2218yes—
42C19×#552C22116yes—
43C19×#552C22116yes—
44C19×#552C22116yes—
45C19×#552C2218yescomplemented
46C19×#552C22116yescomplemented
47C19×#551C22116yes—
48C19×#544C2214yes—
49C19×#544C2214yes—
50C19×#544C2214yes—
51C19×#544C2214yes—
52C19×#544C2218yes—
53C19×#544C2218yescomplemented
54C19×#544C22116yescomplemented
55C19×#543C2214yes—
56C19×#542C2214yes—
57C19×#542C2218yes—
58C19×#542C22116yes—
59C19×#541C2214yes—
60C19×#541C2218yes—
61C19×#541C2214yes—
62C19×#541C2212yes—
63C19×#541C2218yes—
64C19×#541C22116yes—
65C19×#541C22116yes—
66C19×#541C2214yescomplemented
67C19×#541C2214yescomplemented
68C19×#541C22116yescomplemented
69C19×#541C22116yescomplemented
70C19×#541C22116yescomplemented
71C19×#540C2212yes—
72C19×#539C2214yes—
73C19×#539C2218yes—
74C19×#539C22116yes—
75C19×#538C2214yes—
76C19×#536C2214yes—
77C19×#533C2211yescharacteristic
78C19×#533C2212yes—
79C19×#533C2212yes—
80C19×#533C2214yes—
81C19×#533C2214yes—
82C19×#533C2218yes—
83C19×#533C2218yes—
84C19×#533C2214yescomplemented
85C19×#533C2218yescomplemented
86C19×#532C2211yescharacteristic
87C2×C19×C4⋊Q8C2211yescharacteristic
88C19×#529C2218yes—
89C19×#529C2218yes—
90C19×#529C2218yes—
91C2×C19×#126C2214yes—
92C2×C19×#125C2211yescharacteristic
93C2×C19×#125C2214yes—
94C2×C19×#125C2214yescomplemented
95C19×#525C2212yes—
96C2×C19×C22⋊Q8C2212yes—
97C19×#520C2214yes—
98C19×#519C2214yes—
99C4×#41×C19C2212yes—
100C2×C4×Q8×C19C2212yes—
101C2×C19×#117C2211yescharacteristic
102C2×C19×#117C2212yes—
103C2×#41×C19C2312yes—
104C22×Q8×C19C2312yes—
105C23×C4×C19C2311yescharacteristic
106C19×C4⋊Q8C2314yes—
107C19×C4⋊Q8C2314yes—
108C19×C4⋊Q8C2311yescharacteristic
109C19×C4⋊Q8C2314yes—
110C19×C4⋊Q8C2318yes—
111C19×C4⋊Q8C2318yes—
112C19×C4⋊Q8C2318yes—
113C19×C4⋊Q8C2312yes—
114C19×C4⋊Q8C2318yes—
115C19×C4⋊Q8C2312yes—
116C19×C4⋊Q8C2312yes—
117C19×C4⋊Q8C2318yes—
118C19×C4⋊Q8C2318yes—
119C19×C4⋊Q8C2318yes—
120C19×C4⋊Q8C23116yes—
121C19×C4⋊Q8C23116yes—
122C19×C4⋊Q8C23116yes—
123C19×#127C2311yescharacteristic
124C19×#126C23116yes—
125C19×#126C23116yes—
126C19×#126C2318yes—
127C19×#126C2318yes—
128C19×#126C23116yes—
129C19×#126C23116yes—
130C19×#126C23116yes—
131C19×#126C23116yes—
132C19×#126C23116yes—
133C19×#126C23116yes—
134C19×#126C23116yes—
135C19×#126C23116yes—
136C19×#125C2314yes—
137C19×#125C23116yes—
138C19×#125C23116yes—
139C19×#125C2314yes—
140C19×#125C2312yes—
141C19×#125C23116yes—
142C19×#125C2318yes—
143C19×#125C2318yes—
144C19×#125C2318yes—
145C19×#125C2318yes—
146C19×#125C2312yes—
147C19×#125C23116yes—
148C19×#125C2312yes—
149C19×#125C2318yes—
150C19×#125C23116yes—
151C19×#125C2314yes—
152C19×#125C2318yes—
153C19×#125C23116yes—
154C19×#125C23116yes—
155C19×#125C23116yes—
156C19×#125C23116yes—
157C19×#125C23116yes—
158C19×#125C23116yes—
159C19×#125C23116yes—
160C19×#125C23116yes—
161C19×#125C23116yes—
162C19×#124C2318yes—
163C19×#124C2318yes—
164C19×#124C2318yes—
165C19×#124C2312yes—
166C19×#124C23116yes—
167C19×#123C2314yes—
168C19×#123C23116yes—
169C19×#123C2318yes—
170C19×#123C2318yes—
171C19×#123C23116yes—
172C19×#123C23116yes—
173C19×#123C23116yes—
174C19×C22⋊Q8C2318yes—
175C19×C22⋊Q8C2318yes—
176C19×C22⋊Q8C2314yes—
177C19×C22⋊Q8C2314yes—
178C19×C22⋊Q8C2318yes—
179C19×C22⋊Q8C2314yes—
180C19×C22⋊Q8C2314yes—
181C19×C22⋊Q8C2318yes—
182C19×C22⋊Q8C2318yes—
183C19×C22⋊Q8C23116yes—
184C19×C22⋊Q8C2318yes—
185C19×C22⋊Q8C2318yes—
186C19×C22⋊Q8C2318yes—
187C19×C22⋊Q8C23116yes—
188C19×C22⋊Q8C2318yes—
189C19×C22⋊Q8C2318yes—
190C19×C22⋊Q8C23116yes—
191C19×C22⋊Q8C23116yes—
192C19×C22⋊Q8C23116yes—
193C19×C22⋊Q8C23116yes—
194C19×C22⋊Q8C23116yes—
195C19×C22⋊Q8C23116yes—
196C19×#121C2314yes—
197C19×#121C2314yes—
198C19×#121C2318yes—
199C19×#120C2314yes—
200C4×Q8×C19C2314yes—
201C4×Q8×C19C2314yes—
202C4×Q8×C19C2314yes—
203C4×Q8×C19C2314yes—
204C4×Q8×C19C2314yes—
205C4×Q8×C19C2318yes—
206C4×Q8×C19C2318yes—
207C4×Q8×C19C2318yes—
208C4×Q8×C19C2318yes—
209C4×Q8×C19C2318yes—
210C4×Q8×C19C2314yes—
211C4×Q8×C19C2318yes—
212C4×Q8×C19C2318yes—
213C4×Q8×C19C2314yes—
214C4×Q8×C19C2314yes—
215C4×Q8×C19C23116yes—
216C4×Q8×C19C2318yes—
217C4×Q8×C19C23116yes—
218C4×Q8×C19C2318yes—
219C4×Q8×C19C23116yes—
220C4×Q8×C19C23116yes—
221C4×D4×C19C2318yes—
222C4×D4×C19C2314yes—
223C4×D4×C19C23116yes—
224C4×D4×C19C2318yes—
225C4×D4×C19C2318yes—
226C4×D4×C19C2314yes—
227C4×D4×C19C2318yes—
228C4×D4×C19C23116yes—
229C19×#117C2314yes—
230C19×#117C2314yes—
231C19×#117C2312yes—
232C19×#117C2312yes—
233C19×#117C2314yes—
234C19×#117C2312yes—
235C19×#117C2314yes—
236C19×#117C2312yes—
237C19×#117C2312yes—
238C19×#117C2314yes—
239C19×#117C23116yes—
240C19×#117C2318yes—
241C19×#117C23116yes—
242C19×#117C23116yes—
243C19×#117C23116yes—
244C19×#117C23116yes—
245C2×C4⋊C4×C19C2312yes—
246C2×C4⋊C4×C19C2314yes—
247C2×C4⋊C4×C19C2312yes—
248C2×C4⋊C4×C19C2314yes—
249C2×C4⋊C4×C19C2318yes—
250C2×C4⋊C4×C19C2314yes—
251C2×C4⋊C4×C19C2314yes—
252C2×C4⋊C4×C19C2314yes—
253C2×C4⋊C4×C19C23116yes—
254C2×C22⋊C4×C19C2312yes—
255C2×C22⋊C4×C19C2314yes—
256C2×C22⋊C4×C19C2314yes—
257C2×C42×C19C2311yescharacteristic
258C2×C42×C19C2311yescharacteristic
259C2×C42×C19C2314yes—
260C2×C42×C19C2314yes—
261C2×C42×C19C2314yes—
262C24×C19C2411yescharacteristic
263#41×C19—28no—
264C2×Q8×C19—28no—
265C2×Q8×C19C2414yes—
266C2×Q8×C19C2414yes—
267C2×Q8×C19C2412yes—
268C2×Q8×C19C2418yes—
269C2×Q8×C19C2414yes—
270C2×Q8×C19C24116yes—
271C2×Q8×C19C2414yes—
272C2×Q8×C19C2414yes—
273C2×D4×C19C2414yes—
274C2×D4×C19C2412yes—
275C2×D4×C19C2418yes—
276C2×D4×C19C2414yes—
277C22×C4×C19—24no—
278C22×C4×C19C2412yes—
279C22×C4×C19C2414yes—
280C22×C4×C19C2414yes—
281C22×C4×C19C2411yescharacteristic
282C22×C4×C19C2412yes—
283C22×C4×C19C2412yes—
284C22×C4×C19C2412yes—
285C22×C4×C19C2414yes—
286C22×C4×C19C2418yes—
287C22×C4×C19C2418yes—
288C22×C4×C19C24116yes—
289C22×C4×C19C2411yescharacteristic
290C4⋊C4×C19C2414yes—
291C4⋊C4×C19C2414yes—
292C4⋊C4×C19C24116yes—
293C4⋊C4×C19C2418yes—
294C4⋊C4×C19C2414yes—
295C4⋊C4×C19C2414yes—
296C4⋊C4×C19C2418yes—
297C4⋊C4×C19C2414yes—
298C4⋊C4×C19C24116yes—
299C4⋊C4×C19C24116yes—
300C4⋊C4×C19C24116yes—
301C4⋊C4×C19C24116yes—
302C4⋊C4×C19C2414yes—
303C4⋊C4×C19C24116yes—
304C4⋊C4×C19C2418yes—
305C4⋊C4×C19C2418yes—
306C4⋊C4×C19C2418yes—
307C4⋊C4×C19C2418yes—
308C4⋊C4×C19C24116yes—
309C4⋊C4×C19C2414yes—
310C4⋊C4×C19C2418yes—
311C4⋊C4×C19C24116yes—
312C4⋊C4×C19C24116yes—
313C4⋊C4×C19C2414yes—
314C4⋊C4×C19C2414yes—
315C4⋊C4×C19C24116yes—
316C4⋊C4×C19C2418yes—
317C4⋊C4×C19C2418yes—
318C4⋊C4×C19C2418yes—
319C4⋊C4×C19C2418yes—
320C4⋊C4×C19C2414yes—
321C4⋊C4×C19C24116yes—
322C4⋊C4×C19C2414yes—
323C22⋊C4×C19C2418yes—
324C22⋊C4×C19C2414yes—
325C22⋊C4×C19C2414yes—
326C22⋊C4×C19C2414yes—
327C22⋊C4×C19C2414yes—
328C22⋊C4×C19C24116yes—
329C22⋊C4×C19C2414yes—
330C22⋊C4×C19C2418yes—
331C22⋊C4×C19C2418yes—
332C22⋊C4×C19C2418yes—
333C22⋊C4×C19C24116yes—
334C22⋊C4×C19C24116yes—
335C22⋊C4×C19C2418yes—
336C22⋊C4×C19C24116yes—
337C42×C19C2412yes—
338C42×C19C2414yes—
339C42×C19C2412yes—
340C42×C19C2414yes—
341C42×C19C2412yes—
342C42×C19C2418yes—
343C42×C19C2411yescharacteristic
344C42×C19C2411yescharacteristic
345C42×C19C2418yes—
346C42×C19C2414yes—
347C42×C19C2418yes—
348C42×C19C2418yes—
349C42×C19C24116yes—
350C42×C19C24116yes—
351C42×C19C24116yes—
352#62889C1911yesmaximal, characteristic, direct product factor, Sylow
353C23×C19—22no—
354C23×C19—42no—
355C23×C19C2512yes—
356C23×C19C2514yes—
357C23×C19C2511yescharacteristic
358Q8×C19—28no—
359Q8×C19—28no—
360Q8×C19—24no—
361Q8×C19—48no—
362Q8×C19—44no—
363Q8×C19—416no—
364Q8×C19—44no—
365Q8×C19—44no—
366D4×C19—28no—
367D4×C19—24no—
368D4×C19—44no—
369D4×C19—48no—
370C2×C4×C19—22no—
371C2×C4×C19—28no—
372C2×C4×C19—24no—
373C2×C4×C19—24no—
374C2×C4×C19—28no—
375C2×C4×C19—42no—
376C2×C4×C19—44no—
377C2×C4×C19—416no—
378C2×C4×C19—48no—
379C2×C4×C19—48no—
380C2×C4×C19—42no—
381C2×C4×C192−1+414yes—
382C2×C4×C19C2518yes—
383C2×C4×C19C2512yes—
384C2×C4×C19C2518yes—
385C2×C4×C19C2514yes—
386C2×C4×C19C2518yes—
387C2×C4×C19C2512yes—
388C2×C4×C19C2512yes—
389C2×C4×C19C2514yes—
390C2×C4×C19C2518yes—
391C2×C4×C19C2518yes—
392C2×C4×C19C2511yescharacteristic
393C2×C4×C19C2511yescharacteristic
394#3564C2×C1918yescomplemented
395#3563C2×C1918yescomplemented
396#3563C2×C1918yescomplemented
397#3557C2×C1914yescomplemented
398#3556C2×C1914yescomplemented
399#3555C2×C1918yescomplemented
400#3555C2×C1918yescomplemented
401#3509C2×C1912yescomplemented
402#3507C2×C1912yescomplemented
403#3504C2×C1912yescomplemented
404#3502C2×C1912yescomplemented
405#3495C2×C1914yescomplemented
406#3458C2×C1911yescharacteristic, complemented
407#3455C2×C1911yescharacteristic
408C2×#541C2×C1911yescharacteristic, complemented
409C22×C19—22no—
410C22×C19—22no—
411C22×C19—24no—
412C22×C19—28no—
413C22×C19—24no—
414C22×C19—82no—
415C22×C19C2×2−1+412yes—
416C22×C19C2611yescharacteristic
417C4×C19—22no—
418C4×C19—24no—
419C4×C19—28no—
420C4×C19—28no—
421C4×C19—24no—
422C4×C19—28no—
423C4×C19—22no—
424C4×C19—28no—
425C4×C19—28no—
426C4×C19—22no—
427C4×C19C2×2−1+412yes—
428C4×C19C2×2−1+412yes—
429#564C22×C19116yescomplemented
430#563C22×C19116yes—
431#563C22×C19116yes—
432#563C22×C19116yescomplemented
433#559C22×C1914yescomplemented
434Q82C22×C1914yescomplemented
435Q82C22×C1914yescomplemented
436#557C22×C1914yescomplemented
437#557C22×C1918yescomplemented
438#557C22×C1918yescomplemented
439#557C22×C1914yescomplemented
440#557C22×C1918yescomplemented
441#557C22×C1914yescomplemented
442#557C22×C1918yescomplemented
443#557C22×C19116yescomplemented
444#556C22×C1918yes—
445#556C22×C19116yes—
446#556C22×C1914yescomplemented
447#556C22×C1918yescomplemented
448#556C22×C1918yescomplemented
449#554C22×C1918yes—
450#554C22×C19116yes—
451#554C22×C1918yescomplemented
452#554C22×C1914yescomplemented
453#552C22×C1918yes—
454#552C22×C1918yes—
455#552C22×C19116yes—
456#552C22×C19116yes—
457#552C22×C19116yes—
458#552C22×C1918yescomplemented
459#552C22×C19116yescomplemented
460#551C22×C19116yes—
461#544C22×C1914yes—
462#544C22×C1914yes—
463#544C22×C1914yes—
464#544C22×C1914yes—
465#544C22×C1918yes—
466#544C22×C1918yescomplemented
467#544C22×C19116yescomplemented
468#543C22×C1914yes—
469#542C22×C1914yes—
470#542C22×C1918yes—
471#542C22×C19116yes—
472#541C22×C1914yes—
473#541C22×C1918yes—
474#541C22×C1914yes—
475#541C22×C1912yes—
476#541C22×C1918yes—
477#541C22×C19116yes—
478#541C22×C19116yes—
479#541C22×C1914yescomplemented
480#541C22×C1914yescomplemented
481#541C22×C19116yescomplemented
482#541C22×C19116yescomplemented
483#541C22×C19116yescomplemented
484#540C22×C1912yes—
485#539C22×C1914yes—
486#539C22×C1918yes—
487#539C22×C19116yes—
488#538C22×C1914yes—
489#536C22×C1914yes—
490#533C22×C1911yescharacteristic
491#533C22×C1912yes—
492#533C22×C1912yes—
493#533C22×C1914yes—
494#533C22×C1914yes—
495#533C22×C1918yes—
496#533C22×C1918yes—
497#533C22×C1914yescomplemented
498#533C22×C1918yescomplemented
499#532C22×C1911yescharacteristic
500C2×C4⋊Q8C22×C1911yescharacteristic
501#529C22×C1918yes—
502#529C22×C1918yes—
503#529C22×C1918yes—
504C2×#126C22×C1914yes—
505C2×#125C22×C1911yescharacteristic
506C2×#125C22×C1914yes—
507C2×#125C22×C1914yescomplemented
508#525C22×C1912yes—
509C2×C22⋊Q8C22×C1912yes—
510#520C22×C1914yes—
511#519C22×C1914yes—
512C4×#41C22×C1912yes—
513C2×C4×Q8C22×C1912yes—
514C2×#117C22×C1911yescharacteristic
515C2×#117C22×C1912yes—
516C2×C19—22no—
517C2×C19—44no—
518C2×C19—42no—
519C2×C19C22×2−1+411yescharacteristic
520C2×C192−1+612yes—
521C2×#41C23×C1912yes—
522C22×Q8C23×C1912yes—
523C23×C4C23×C1911yescharacteristic
524C4⋊Q8C23×C1914yes—
525C4⋊Q8C23×C1914yes—
526C4⋊Q8C23×C1911yescharacteristic
527C4⋊Q8C23×C1914yes—
528C4⋊Q8C23×C1918yes—
529C4⋊Q8C23×C1918yes—
530C4⋊Q8C23×C1918yes—
531C4⋊Q8C23×C1912yes—
532C4⋊Q8C23×C1918yes—
533C4⋊Q8C23×C1912yes—
534C4⋊Q8C23×C1912yes—
535C4⋊Q8C23×C1918yes—
536C4⋊Q8C23×C1918yes—
537C4⋊Q8C23×C1918yes—
538C4⋊Q8C23×C19116yes—
539C4⋊Q8C23×C19116yes—
540C4⋊Q8C23×C19116yes—
541#127C23×C1911yescharacteristic
542#126C23×C19116yes—
543#126C23×C19116yes—
544#126C23×C1918yes—
545#126C23×C1918yes—
546#126C23×C19116yes—
547#126C23×C19116yes—
548#126C23×C19116yes—
549#126C23×C19116yes—
550#126C23×C19116yes—
551#126C23×C19116yes—
552#126C23×C19116yes—
553#126C23×C19116yes—
554#125C23×C1914yes—
555#125C23×C19116yes—
556#125C23×C19116yes—
557#125C23×C1914yes—
558#125C23×C1912yes—
559#125C23×C19116yes—
560#125C23×C1918yes—
561#125C23×C1918yes—
562#125C23×C1918yes—
563#125C23×C1918yes—
564#125C23×C1912yes—
565#125C23×C19116yes—
566#125C23×C1912yes—
567#125C23×C1918yes—
568#125C23×C19116yes—
569#125C23×C1914yes—
570#125C23×C1918yes—
571#125C23×C19116yes—
572#125C23×C19116yes—
573#125C23×C19116yes—
574#125C23×C19116yes—
575#125C23×C19116yes—
576#125C23×C19116yes—
577#125C23×C19116yes—
578#125C23×C19116yes—
579#125C23×C19116yes—
580#124C23×C1918yes—
581#124C23×C1918yes—
582#124C23×C1918yes—
583#124C23×C1912yes—
584#124C23×C19116yes—
585#123C23×C1914yes—
586#123C23×C19116yes—
587#123C23×C1918yes—
588#123C23×C1918yes—
589#123C23×C19116yes—
590#123C23×C19116yes—
591#123C23×C19116yes—
592C22⋊Q8C23×C1918yes—
593C22⋊Q8C23×C1918yes—
594C22⋊Q8C23×C1914yes—
595C22⋊Q8C23×C1914yes—
596C22⋊Q8C23×C1918yes—
597C22⋊Q8C23×C1914yes—
598C22⋊Q8C23×C1914yes—
599C22⋊Q8C23×C1918yes—
600C22⋊Q8C23×C1918yes—
601C22⋊Q8C23×C19116yes—
602C22⋊Q8C23×C1918yes—
603C22⋊Q8C23×C1918yes—
604C22⋊Q8C23×C1918yes—
605C22⋊Q8C23×C19116yes—
606C22⋊Q8C23×C1918yes—
607C22⋊Q8C23×C1918yes—
608C22⋊Q8C23×C19116yes—
609C22⋊Q8C23×C19116yes—
610C22⋊Q8C23×C19116yes—
611C22⋊Q8C23×C19116yes—
612C22⋊Q8C23×C19116yes—
613C22⋊Q8C23×C19116yes—
614#121C23×C1914yes—
615#121C23×C1914yes—
616#121C23×C1918yes—
617#120C23×C1914yes—
618C4×Q8C23×C1914yes—
619C4×Q8C23×C1914yes—
620C4×Q8C23×C1914yes—
621C4×Q8C23×C1914yes—
622C4×Q8C23×C1914yes—
623C4×Q8C23×C1918yes—
624C4×Q8C23×C1918yes—
625C4×Q8C23×C1918yes—
626C4×Q8C23×C1918yes—
627C4×Q8C23×C1918yes—
628C4×Q8C23×C1914yes—
629C4×Q8C23×C1918yes—
630C4×Q8C23×C1918yes—
631C4×Q8C23×C1914yes—
632C4×Q8C23×C1914yes—
633C4×Q8C23×C19116yes—
634C4×Q8C23×C1918yes—
635C4×Q8C23×C19116yes—
636C4×Q8C23×C1918yes—
637C4×Q8C23×C19116yes—
638C4×Q8C23×C19116yes—
639C4×D4C23×C1918yes—
640C4×D4C23×C1914yes—
641C4×D4C23×C19116yes—
642C4×D4C23×C1918yes—
643C4×D4C23×C1918yes—
644C4×D4C23×C1914yes—
645C4×D4C23×C1918yes—
646C4×D4C23×C19116yes—
647#117C23×C1914yes—
648#117C23×C1914yes—
649#117C23×C1912yes—
650#117C23×C1912yes—
651#117C23×C1914yes—
652#117C23×C1912yes—
653#117C23×C1914yes—
654#117C23×C1912yes—
655#117C23×C1912yes—
656#117C23×C1914yes—
657#117C23×C19116yes—
658#117C23×C1918yes—
659#117C23×C19116yes—
660#117C23×C19116yes—
661#117C23×C19116yes—
662#117C23×C19116yes—
663C2×C4⋊C4C23×C1912yes—
664C2×C4⋊C4C23×C1914yes—
665C2×C4⋊C4C23×C1912yes—
666C2×C4⋊C4C23×C1914yes—
667C2×C4⋊C4C23×C1918yes—
668C2×C4⋊C4C23×C1914yes—
669C2×C4⋊C4C23×C1914yes—
670C2×C4⋊C4C23×C1914yes—
671C2×C4⋊C4C23×C19116yes—
672C2×C22⋊C4C23×C1912yes—
673C2×C22⋊C4C23×C1914yes—
674C2×C22⋊C4C23×C1914yes—
675C2×C42C23×C1911yescharacteristic
676C2×C42C23×C1911yescharacteristic
677C2×C42C23×C1914yes—
678C2×C42C23×C1914yes—
679C2×C42C23×C1914yes—
680C19#6288911yescharacteristic, direct product factor, Sylow
681C24C24×C1911yescharacteristic
682#41—28no—
683C2×Q8—28no—
684C2×Q8C24×C1914yes—
685C2×Q8C24×C1914yes—
686C2×Q8C24×C1912yes—
687C2×Q8C24×C1918yes—
688C2×Q8C24×C1914yes—
689C2×Q8C24×C19116yes—
690C2×Q8C24×C1914yes—
691C2×Q8C24×C1914yes—
692C2×D4C24×C1914yes—
693C2×D4C24×C1912yes—
694C2×D4C24×C1918yes—
695C2×D4C24×C1914yes—
696C22×C4—24no—
697C22×C4C24×C1912yes—
698C22×C4C24×C1914yes—
699C22×C4C24×C1914yes—
700C22×C4C24×C1911yescharacteristic
701C22×C4C24×C1912yes—
702C22×C4C24×C1912yes—
703C22×C4C24×C1912yes—
704C22×C4C24×C1914yes—
705C22×C4C24×C1918yes—
706C22×C4C24×C1918yes—
707C22×C4C24×C19116yes—
708C22×C4C24×C1911yescharacteristic
709C4⋊C4C24×C1914yes—
710C4⋊C4C24×C1914yes—
711C4⋊C4C24×C19116yes—
712C4⋊C4C24×C1918yes—
713C4⋊C4C24×C1914yes—
714C4⋊C4C24×C1914yes—
715C4⋊C4C24×C1918yes—
716C4⋊C4C24×C1914yes—
717C4⋊C4C24×C19116yes—
718C4⋊C4C24×C19116yes—
719C4⋊C4C24×C19116yes—
720C4⋊C4C24×C19116yes—
721C4⋊C4C24×C1914yes—
722C4⋊C4C24×C19116yes—
723C4⋊C4C24×C1918yes—
724C4⋊C4C24×C1918yes—
725C4⋊C4C24×C1918yes—
726C4⋊C4C24×C1918yes—
727C4⋊C4C24×C19116yes—
728C4⋊C4C24×C1914yes—
729C4⋊C4C24×C1918yes—
730C4⋊C4C24×C19116yes—
731C4⋊C4C24×C19116yes—
732C4⋊C4C24×C1914yes—
733C4⋊C4C24×C1914yes—
734C4⋊C4C24×C19116yes—
735C4⋊C4C24×C1918yes—
736C4⋊C4C24×C1918yes—
737C4⋊C4C24×C1918yes—
738C4⋊C4C24×C1918yes—
739C4⋊C4C24×C1914yes—
740C4⋊C4C24×C19116yes—
741C4⋊C4C24×C1914yes—
742C22⋊C4C24×C1918yes—
743C22⋊C4C24×C1914yes—
744C22⋊C4C24×C1914yes—
745C22⋊C4C24×C1914yes—
746C22⋊C4C24×C1914yes—
747C22⋊C4C24×C19116yes—
748C22⋊C4C24×C1914yes—
749C22⋊C4C24×C1918yes—
750C22⋊C4C24×C1918yes—
751C22⋊C4C24×C1918yes—
752C22⋊C4C24×C19116yes—
753C22⋊C4C24×C19116yes—
754C22⋊C4C24×C1918yes—
755C22⋊C4C24×C19116yes—
756C42C24×C1912yes—
757C42C24×C1914yes—
758C42C24×C1912yes—
759C42C24×C1914yes—
760C42C24×C1912yes—
761C42C24×C1918yes—
762C42C24×C1911yescharacteristic
763C42C24×C1911yescharacteristic
764C42C24×C1918yes—
765C42C24×C1914yes—
766C42C24×C1918yes—
767C42C24×C1918yes—
768C42C24×C19116yes—
769C42C24×C19116yes—
770C42C24×C19116yes—
771C23—22no—
772C23—42no—
773C23C25×C1912yes—
774C23C25×C1914yes—
775C23C25×C1911yescharacteristic
776Q8—28no—
777Q8—28no—
778Q8—24no—
779Q8—48no—
780Q8—44no—
781Q8—416no—
782Q8—44no—
783Q8—44no—
784D4—28no—
785D4—24no—
786D4—44no—
787D4—48no—
788C2×C4—22no—
789C2×C4—28no—
790C2×C4—24no—
791C2×C4—24no—
792C2×C4—28no—
793C2×C4—42no—
794C2×C4—44no—
795C2×C4—416no—
796C2×C4—48no—
797C2×C4—48no—
798C2×C4—42no—
799C2×C4C19×2−1+414yes—
800C2×C4C25×C1918yes—
801C2×C4C25×C1912yes—
802C2×C4C25×C1918yes—
803C2×C4C25×C1914yes—
804C2×C4C25×C1918yes—
805C2×C4C25×C1912yes—
806C2×C4C25×C1912yes—
807C2×C4C25×C1914yes—
808C2×C4C25×C1918yes—
809C2×C4C25×C1918yes—
810C2×C4C25×C1911yescharacteristic
811C2×C4C25×C1911yescharacteristic
812C22—22no—
813C22—22no—
814C22—24no—
815C22—28no—
816C22—24no—
817C22—82no—
818C22C2×C19×2−1+412yes—
819C22C26×C1911yescharacteristic
820C4—22no—
821C4—24no—
822C4—28no—
823C4—28no—
824C4—24no—
825C4—28no—
826C4—22no—
827C4—28no—
828C4—28no—
829C4—22no—
830C4C2×C19×2−1+412yes—
831C4C2×C19×2−1+412yes—
832C2—22no—
833C2—42no—
834C2—44no—
835C2C22×C19×2−1+411yescharacteristic
836C2C19×2−1+612yes—
subgroupG/H
center, socleC22×C19C26
commutator, Frattini, cosocleC22C26×C19
prime radicalC19×#3455C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C19 ◁ G

Complements

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

NH ≅ G/Ntype
1. C19×#3564C2semidirect
2. C19×#3563C2semidirect
3. C19×#3563C2semidirect
4. C19×#3557C2semidirect
5. C19×#3556C2semidirect
6. C19×#3555C2semidirect
7. C19×#3555C2semidirect
8. C19×#3509C2semidirect
9. C19×#3507C2semidirect
10. C19×#3504C2semidirect
11. C19×#3502C2semidirect
12. C19×#3495C2semidirect
13. C19×#3458C2semidirect
15. C2×C19×#541C2semidirect
16. C19×#564C22semidirect
19. C19×#563C22semidirect
20. C19×#559C22semidirect
21. Q82×C19C22semidirect
22. Q82×C19C22semidirect
23. C19×#557C22semidirect
24. C19×#557C22semidirect
25. C19×#557C22semidirect
26. C19×#557C22semidirect
27. C19×#557C22semidirect
28. C19×#557C22semidirect
29. C19×#557C22semidirect
30. C19×#557C22semidirect
33. C19×#556C22semidirect
34. C19×#556C22semidirect
35. C19×#556C22semidirect
38. C19×#554C22semidirect
39. C19×#554C22semidirect
45. C19×#552C22semidirect
46. C19×#552C22semidirect
53. C19×#544C22semidirect
54. C19×#544C22semidirect
66. C19×#541C22semidirect
67. C19×#541C22semidirect
68. C19×#541C22semidirect
69. C19×#541C22semidirect
70. C19×#541C22semidirect
84. C19×#533C22semidirect
85. C19×#533C22semidirect
94. C2×C19×#125C22semidirect
352. #62889C19direct (N × H)
394. #3564C2×C19semidirect
395. #3563C2×C19semidirect
396. #3563C2×C19semidirect
397. #3557C2×C19semidirect
398. #3556C2×C19semidirect
399. #3555C2×C19semidirect
400. #3555C2×C19semidirect
401. #3509C2×C19semidirect
402. #3507C2×C19semidirect
403. #3504C2×C19semidirect
404. #3502C2×C19semidirect
405. #3495C2×C19semidirect
406. #3458C2×C19semidirect
408. C2×#541C2×C19semidirect
429. #564C22×C19semidirect
432. #563C22×C19semidirect
433. #559C22×C19semidirect
434. Q82C22×C19semidirect
435. Q82C22×C19semidirect
436. #557C22×C19semidirect
437. #557C22×C19semidirect
438. #557C22×C19semidirect
439. #557C22×C19semidirect
440. #557C22×C19semidirect
441. #557C22×C19semidirect
442. #557C22×C19semidirect
443. #557C22×C19semidirect
446. #556C22×C19semidirect
447. #556C22×C19semidirect
448. #556C22×C19semidirect
451. #554C22×C19semidirect
452. #554C22×C19semidirect
458. #552C22×C19semidirect
459. #552C22×C19semidirect
466. #544C22×C19semidirect
467. #544C22×C19semidirect
479. #541C22×C19semidirect
480. #541C22×C19semidirect
481. #541C22×C19semidirect
482. #541C22×C19semidirect
483. #541C22×C19semidirect
497. #533C22×C19semidirect
498. #533C22×C19semidirect
507. C2×#125C22×C19semidirect
680. C19#62889direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C19×#35642
C19×#35632
C19×#35572
C19×#35562
C19×#35552
C19×#35092
C19×#35072
C19×#35042
C19×#35022
C19×#34952
C19×#34582
C19×#34552
C2×C19×#5412
#6288919