Finite Group Databasebeta

← C19×#62904 #18068863

Subgroups — C19×#62904 #18068863

Order 4864.

6370 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C19×#3564C2112yesmaximal, complemented
2C19×#3563C216yesmaximal, complemented
3C19×#3563C2112yesmaximal, complemented
4C19×#3538C216yesmaximal, complemented
5C19×#3523C216yesmaximal, complemented
6C19×#3501C213yesmaximal, complemented
7C19×#3495C216yesmaximal, complemented
8C19×#3491C216yesmaximal, complemented
9C2×C19×#552C213yesmaximal, complemented
10C19×#3459C211yesmaximal, characteristic
11C19×#3458C212yesmaximal, complemented
12C19×#564C22112yescomplemented
13C19×#563C22124yescomplemented
14C19×#563C22112yescomplemented
15C19×#557C2212yescomplemented
16C19×#557C2216yescomplemented
17C19×#557C22112yescomplemented
18C19×#556C2216yescomplemented
19C19×#556C22112yescomplemented
20C19×#554C22112yescomplemented
21C19×#554C22124yescomplemented
22C19×#552C22112yescomplemented
23C19×#552C22112yescomplemented
24C19×#552C22124yescomplemented
25C19×#552C22124yescomplemented
26C19×#552C22124yescomplemented
27C19×#552C22112yescomplemented
28C19×#552C22124yescomplemented
29C19×#551C22124yescomplemented
30C19×#551C22124yescomplemented
31D4×Q8×C19C22112yescomplemented
32D4×Q8×C19C2216yescomplemented
33C19×#544C22112yescomplemented
34C19×#544C22112yescomplemented
35C19×#544C2216yescomplemented
36C19×#544C2216yescomplemented
37C19×#544C22112yescomplemented
38C19×#543C2211yescharacteristic
39C19×#543C2216yes—
40C19×#543C2216yescomplemented
41C19×#542C22112yescomplemented
42C19×#541C22112yescomplemented
43C19×#541C22112yescomplemented
44C19×#541C22124yescomplemented
45C19×#541C22124yescomplemented
46C19×#539C2216yes—
47C19×#539C22112yes—
48C19×#539C22112yes—
49C19×#539C22112yescomplemented
50C19×#538C2216yes—
51C19×#536C2216yescomplemented
52C19×#534C2213yes—
53C19×#533C22112yescomplemented
54C19×#533C22112yescomplemented
55C19×#533C2216yescomplemented
56C19×#529C2216yes—
57C19×#529C22112yes—
58C19×#529C22112yes—
59C2×C19×#126C2216yescomplemented
60C2×C19×#125C2216yescomplemented
61C2×C19×#125C2213yescomplemented
62C19×#525C2216yes—
63C2×C19×#123C2216yes—
64C2×C19×C22⋊Q8C2213yes—
65C2×C19×C22⋊Q8C2213yescomplemented
66C2×C19×C22⋊Q8C2216yescomplemented
67C19×#520C2212yescomplemented
68C19×#519C2216yescomplemented
69C19×#518C2216yes—
70C2×C4×Q8×C19C2213yescomplemented
71C2×C4×D4×C19C2213yes—
72C2×C19×#117C2216yes—
73C2×C19×#117C2213yescomplemented
74C22×C4⋊C4×C19C2211yescharacteristic
75C2×#41×C19C2312yes—
76C22×Q8×C19C2313yes—
77C22×Q8×C19C2316yes—
78C22×D4×C19C2313yes—
79C23×C4×C19C2312yes—
80C23×C4×C19C2311yescharacteristic
81C23×C4×C19C2313yes—
82C19×C4⋊Q8C23112yes—
83C19×C4⋊Q8C23112yes—
84C19×C4⋊Q8C2316yes—
85C19×C4⋊Q8C23112yes—
86C19×C4⋊Q8C2316yes—
87C19×C4⋊Q8C23112yes—
88C19×C4⋊Q8C23124yes—
89C19×#126C23124yes—
90C19×#126C23124yes—
91C19×#126C23112yes—
92C19×#126C23124yes—
93C19×#126C23124yes—
94C19×#126C23124yes—
95C19×#126C23124yes—
96C19×#125C23124yes—
97C19×#125C23112yes—
98C19×#125C23112yes—
99C19×#125C23124yes—
100C19×#125C2316yes—
101C19×#125C23112yes—
102C19×#125C23112yes—
103C19×#125C23124yes—
104C19×#125C23112yes—
105C19×#125C23124yes—
106C19×#125C23124yes—
107C19×#125C23124yes—
108C19×#125C23124yes—
109C19×#124C23112yes—
110C19×#124C2316yes—
111C19×#124C23112yes—
112C19×#123C23124yes—
113C19×#123C23124yes—
114C19×#123C23112yes—
115C19×#123C23112yes—
116C19×#123C23124yes—
117C19×#123C23124yes—
118C19×C22⋊Q8C23112yes—
119C19×C22⋊Q8C23112yes—
120C19×C22⋊Q8C23112yes—
121C19×C22⋊Q8C23112yes—
122C19×C22⋊Q8C23112yes—
123C19×C22⋊Q8C23112yes—
124C19×C22⋊Q8C23112yes—
125C19×C22⋊Q8C2316yes—
126C19×C22⋊Q8C2316yes—
127C19×C22⋊Q8C2316yes—
128C19×C22⋊Q8C23112yes—
129C19×C22⋊Q8C23124yes—
130C19×C22⋊Q8C23124yes—
131C19×C22⋊Q8C23124yes—
132C19×C22⋊Q8C23124yes—
133C19×C22⋊Q8C23124yes—
134C19×C22⋊Q8C23124yes—
135C19×#121C2316yes—
136C19×#121C2316yes—
137C19×#121C2316yes—
138C19×#120C23112yes—
139C4×Q8×C19C2316yes—
140C4×Q8×C19C2316yes—
141C4×Q8×C19C23112yes—
142C4×Q8×C19C23112yes—
143C4×Q8×C19C23112yes—
144C4×Q8×C19C23112yes—
145C4×Q8×C19C2314yes—
146C4×Q8×C19C2312yes—
147C4×Q8×C19C23112yes—
148C4×Q8×C19C23112yes—
149C4×Q8×C19C2314yes—
150C4×Q8×C19C23112yes—
151C4×D4×C19C23112yes—
152C4×D4×C19C23112yes—
153C4×D4×C19C23124yes—
154C4×D4×C19C23124yes—
155C4×D4×C19C23112yes—
156C4×D4×C19C2316yes—
157C4×D4×C19C23112yes—
158C19×#117C23124yes—
159C19×#117C23124yes—
160C19×#117C2316yes—
161C19×#117C2316yes—
162C19×#117C23112yes—
163C19×#117C23112yes—
164C19×#117C2316yes—
165C19×#117C23124yes—
166C19×#117C23124yes—
167C2×C4⋊C4×C19C2313yes—
168C2×C4⋊C4×C19C2313yes—
169C2×C4⋊C4×C19C2316yes—
170C2×C4⋊C4×C19C2316yes—
171C2×C4⋊C4×C19C2316yes—
172C2×C4⋊C4×C19C2313yes—
173C2×C4⋊C4×C19C2313yes—
174C2×C4⋊C4×C19C2316yes—
175C2×C4⋊C4×C19C2316yes—
176C2×C4⋊C4×C19C2316yes—
177C2×C4⋊C4×C19C23112yes—
178C2×C4⋊C4×C19C2316yes—
179C2×C22⋊C4×C19C2313yes—
180C2×C22⋊C4×C19C2316yes—
181C2×C22⋊C4×C19C2316yes—
182C2×C22⋊C4×C19C2313yes—
183C2×C22⋊C4×C19C23112yes—
184C2×C22⋊C4×C19C2316yes—
185C2×C42×C19C2316yes—
186C2×C42×C19C2316yes—
187C2×C42×C19C2313yes—
188C24×C19C2413yes—
189C24×C19C2411yescharacteristic
190#41×C19—44no—
191C2×Q8×C19—46no—
192C2×Q8×C19—412no—
193C2×Q8×C19C2416yes—
194C2×Q8×C19C24112yes—
195C2×Q8×C19C2412yes—
196C2×Q8×C19C2416yes—
197C2×Q8×C19C24112yes—
198C2×Q8×C19C2412yes—
199C2×D4×C19—212no—
200C2×D4×C19C24112yes—
201C2×D4×C19C2416yes—
202C2×D4×C19C2416yes—
203C22×C4×C19—28no—
204C22×C4×C19—42no—
205C22×C4×C19—46no—
206C22×C4×C19C2416yes—
207C22×C4×C19C2413yes—
208C22×C4×C19C2413yes—
209C22×C4×C19C2416yes—
210C22×C4×C19C2416yes—
211C22×C4×C19C2413yes—
212C22×C4×C19C2413yes—
213C22×C4×C19C2416yes—
214C22×C4×C19C2416yes—
215C22×C4×C19C2413yes—
216C22×C4×C19C24112yes—
217C22×C4×C19C24112yes—
218C22×C4×C19C2416yes—
219C4⋊C4×C19C2411yescharacteristic
220C4⋊C4×C19C2413yes—
221C4⋊C4×C19C2416yes—
222C4⋊C4×C19C2416yes—
223C4⋊C4×C19C2416yes—
224C4⋊C4×C19C24124yes—
225C4⋊C4×C19C24112yes—
226C4⋊C4×C19C2416yes—
227C4⋊C4×C19C24124yes—
228C4⋊C4×C19C24124yes—
229C4⋊C4×C19C24124yes—
230C4⋊C4×C19C24124yes—
231C4⋊C4×C19C24112yes—
232C4⋊C4×C19C24112yes—
233C4⋊C4×C19C24112yes—
234C4⋊C4×C19C24112yes—
235C4⋊C4×C19C24112yes—
236C4⋊C4×C19C2416yes—
237C4⋊C4×C19C2416yes—
238C4⋊C4×C19C24124yes—
239C4⋊C4×C19C24112yes—
240C4⋊C4×C19C2416yes—
241C4⋊C4×C19C2416yes—
242C22⋊C4×C19C24124yes—
243C22⋊C4×C19C24112yes—
244C22⋊C4×C19C24112yes—
245C22⋊C4×C19C24112yes—
246C22⋊C4×C19C24124yes—
247C22⋊C4×C19C24112yes—
248C22⋊C4×C19C24124yes—
249C22⋊C4×C19C24112yes—
250C22⋊C4×C19C24112yes—
251C42×C19C24112yes—
252C42×C19C24112yes—
253C42×C19C24112yes—
254C42×C19C2416yes—
255C42×C19C24112yes—
256C42×C19C2416yes—
257C42×C19C24124yes—
258#62904C1911yesmaximal, characteristic, direct product factor, Sylow
259C23×C19—26no—
260C23×C19—41no—
261C23×C19—41no—
262C23×C19—43no—
263C23×C19—43no—
264C23×C192−1+414yes—
265C23×C19C2516yes—
266C23×C19C2513yes—
267Q8×C19—212no—
268Q8×C19—46no—
269Q8×C19—412no—
270Q8×C19—412no—
271Q8×C19—42no—
272Q8×C19—42no—
273D4×C19—224no—
274D4×C19—46no—
275D4×C19—46no—
276C2×C4×C19—212no—
277C2×C4×C19—212no—
278C2×C4×C19—26no—
279C2×C4×C19—26no—
280C2×C4×C19—212no—
281C2×C4×C19—43no—
282C2×C4×C19—46no—
283C2×C4×C19—43no—
284C2×C4×C19—46no—
285C2×C4×C19—412no—
286C2×C4×C19—43no—
287C2×C4×C19—46no—
288C2×C4×C19—412no—
289C2×C4×C19C2512yes—
290C2×C4×C19C2516yes—
291C2×C4×C19C2516yes—
292C2×C4×C19C2516yes—
293C2×C4×C19C25112yes—
294C2×C4×C19C25112yes—
295C2×C4×C19C2516yes—
296C2×C4×C19C2513yes—
297C2×C4×C19C2511yescharacteristic
298#3564C2×C19112yescomplemented
299#3563C2×C1916yescomplemented
300#3563C2×C19112yescomplemented
301#3538C2×C1916yescomplemented
302#3523C2×C1916yescomplemented
303#3501C2×C1913yescomplemented
304#3495C2×C1916yescomplemented
305#3491C2×C1916yescomplemented
306C2×#552C2×C1913yescomplemented
307#3459C2×C1911yescharacteristic
308#3458C2×C1912yescomplemented
309C22×C19—23no—
310C22×C19—23no—
311C22×C19—26no—
312C22×C19—26no—
313C22×C19—26no—
314C22×C19—44no—
315C22×C19—86no—
316C22×C19C2×2−1+416yes—
317C22×C19C2611yescharacteristic
318C4×C19—22no—
319C4×C19—26no—
320C4×C19—26no—
321C4×C19—23no—
322C4×C19—26no—
323C4×C19—212no—
324C4×C19—212no—
325C4×C19—26no—
326C4×C19#58512yes—
327#564C22×C19112yescomplemented
328#563C22×C19124yescomplemented
329#563C22×C19112yescomplemented
330#557C22×C1912yescomplemented
331#557C22×C1916yescomplemented
332#557C22×C19112yescomplemented
333#556C22×C1916yescomplemented
334#556C22×C19112yescomplemented
335#554C22×C19112yescomplemented
336#554C22×C19124yescomplemented
337#552C22×C19112yescomplemented
338#552C22×C19112yescomplemented
339#552C22×C19124yescomplemented
340#552C22×C19124yescomplemented
341#552C22×C19124yescomplemented
342#552C22×C19112yescomplemented
343#552C22×C19124yescomplemented
344#551C22×C19124yescomplemented
345#551C22×C19124yescomplemented
346D4×Q8C22×C19112yescomplemented
347D4×Q8C22×C1916yescomplemented
348#544C22×C19112yescomplemented
349#544C22×C19112yescomplemented
350#544C22×C1916yescomplemented
351#544C22×C1916yescomplemented
352#544C22×C19112yescomplemented
353#543C22×C1911yescharacteristic
354#543C22×C1916yes—
355#543C22×C1916yescomplemented
356#542C22×C19112yescomplemented
357#541C22×C19112yescomplemented
358#541C22×C19112yescomplemented
359#541C22×C19124yescomplemented
360#541C22×C19124yescomplemented
361#539C22×C1916yes—
362#539C22×C19112yes—
363#539C22×C19112yes—
364#539C22×C19112yescomplemented
365#538C22×C1916yes—
366#536C22×C1916yescomplemented
367#534C22×C1913yes—
368#533C22×C19112yescomplemented
369#533C22×C19112yescomplemented
370#533C22×C1916yescomplemented
371#529C22×C1916yes—
372#529C22×C19112yes—
373#529C22×C19112yes—
374C2×#126C22×C1916yescomplemented
375C2×#125C22×C1916yescomplemented
376C2×#125C22×C1913yescomplemented
377#525C22×C1916yes—
378C2×#123C22×C1916yes—
379C2×C22⋊Q8C22×C1913yes—
380C2×C22⋊Q8C22×C1913yescomplemented
381C2×C22⋊Q8C22×C1916yescomplemented
382#520C22×C1912yescomplemented
383#519C22×C1916yescomplemented
384#518C22×C1916yes—
385C2×C4×Q8C22×C1913yescomplemented
386C2×C4×D4C22×C1913yes—
387C2×#117C22×C1916yes—
388C2×#117C22×C1913yescomplemented
389C22×C4⋊C4C22×C1911yescharacteristic
390C2×C19—26no—
391C2×C19—46no—
392C2×C19C22×2−1+411yescharacteristic
393C2×C19C2×#58511yescharacteristic
394C2×C192−1+611yescharacteristic
395C2×#41C23×C1912yes—
396C22×Q8C23×C1913yes—
397C22×Q8C23×C1916yes—
398C22×D4C23×C1913yes—
399C23×C4C23×C1912yes—
400C23×C4C23×C1911yescharacteristic
401C23×C4C23×C1913yes—
402C4⋊Q8C23×C19112yes—
403C4⋊Q8C23×C19112yes—
404C4⋊Q8C23×C1916yes—
405C4⋊Q8C23×C19112yes—
406C4⋊Q8C23×C1916yes—
407C4⋊Q8C23×C19112yes—
408C4⋊Q8C23×C19124yes—
409#126C23×C19124yes—
410#126C23×C19124yes—
411#126C23×C19112yes—
412#126C23×C19124yes—
413#126C23×C19124yes—
414#126C23×C19124yes—
415#126C23×C19124yes—
416#125C23×C19124yes—
417#125C23×C19112yes—
418#125C23×C19112yes—
419#125C23×C19124yes—
420#125C23×C1916yes—
421#125C23×C19112yes—
422#125C23×C19112yes—
423#125C23×C19124yes—
424#125C23×C19112yes—
425#125C23×C19124yes—
426#125C23×C19124yes—
427#125C23×C19124yes—
428#125C23×C19124yes—
429#124C23×C19112yes—
430#124C23×C1916yes—
431#124C23×C19112yes—
432#123C23×C19124yes—
433#123C23×C19124yes—
434#123C23×C19112yes—
435#123C23×C19112yes—
436#123C23×C19124yes—
437#123C23×C19124yes—
438C22⋊Q8C23×C19112yes—
439C22⋊Q8C23×C19112yes—
440C22⋊Q8C23×C19112yes—
441C22⋊Q8C23×C19112yes—
442C22⋊Q8C23×C19112yes—
443C22⋊Q8C23×C19112yes—
444C22⋊Q8C23×C19112yes—
445C22⋊Q8C23×C1916yes—
446C22⋊Q8C23×C1916yes—
447C22⋊Q8C23×C1916yes—
448C22⋊Q8C23×C19112yes—
449C22⋊Q8C23×C19124yes—
450C22⋊Q8C23×C19124yes—
451C22⋊Q8C23×C19124yes—
452C22⋊Q8C23×C19124yes—
453C22⋊Q8C23×C19124yes—
454C22⋊Q8C23×C19124yes—
455#121C23×C1916yes—
456#121C23×C1916yes—
457#121C23×C1916yes—
458#120C23×C19112yes—
459C4×Q8C23×C1916yes—
460C4×Q8C23×C1916yes—
461C4×Q8C23×C19112yes—
462C4×Q8C23×C19112yes—
463C4×Q8C23×C19112yes—
464C4×Q8C23×C19112yes—
465C4×Q8C23×C1914yes—
466C4×Q8C23×C1912yes—
467C4×Q8C23×C19112yes—
468C4×Q8C23×C19112yes—
469C4×Q8C23×C1914yes—
470C4×Q8C23×C19112yes—
471C4×D4C23×C19112yes—
472C4×D4C23×C19112yes—
473C4×D4C23×C19124yes—
474C4×D4C23×C19124yes—
475C4×D4C23×C19112yes—
476C4×D4C23×C1916yes—
477C4×D4C23×C19112yes—
478#117C23×C19124yes—
479#117C23×C19124yes—
480#117C23×C1916yes—
481#117C23×C1916yes—
482#117C23×C19112yes—
483#117C23×C19112yes—
484#117C23×C1916yes—
485#117C23×C19124yes—
486#117C23×C19124yes—
487C2×C4⋊C4C23×C1913yes—
488C2×C4⋊C4C23×C1913yes—
489C2×C4⋊C4C23×C1916yes—
490C2×C4⋊C4C23×C1916yes—
491C2×C4⋊C4C23×C1916yes—
492C2×C4⋊C4C23×C1913yes—
493C2×C4⋊C4C23×C1913yes—
494C2×C4⋊C4C23×C1916yes—
495C2×C4⋊C4C23×C1916yes—
496C2×C4⋊C4C23×C1916yes—
497C2×C4⋊C4C23×C19112yes—
498C2×C4⋊C4C23×C1916yes—
499C2×C22⋊C4C23×C1913yes—
500C2×C22⋊C4C23×C1916yes—
501C2×C22⋊C4C23×C1916yes—
502C2×C22⋊C4C23×C1913yes—
503C2×C22⋊C4C23×C19112yes—
504C2×C22⋊C4C23×C1916yes—
505C2×C42C23×C1916yes—
506C2×C42C23×C1916yes—
507C2×C42C23×C1913yes—
508C19#6290411yescharacteristic, direct product factor, Sylow
509C24C24×C1913yes—
510C24C24×C1911yescharacteristic
511#41—44no—
512C2×Q8—46no—
513C2×Q8—412no—
514C2×Q8C24×C1916yes—
515C2×Q8C24×C19112yes—
516C2×Q8C24×C1912yes—
517C2×Q8C24×C1916yes—
518C2×Q8C24×C19112yes—
519C2×Q8C24×C1912yes—
520C2×D4—212no—
521C2×D4C24×C19112yes—
522C2×D4C24×C1916yes—
523C2×D4C24×C1916yes—
524C22×C4—28no—
525C22×C4—42no—
526C22×C4—46no—
527C22×C4C24×C1916yes—
528C22×C4C24×C1913yes—
529C22×C4C24×C1913yes—
530C22×C4C24×C1916yes—
531C22×C4C24×C1916yes—
532C22×C4C24×C1913yes—
533C22×C4C24×C1913yes—
534C22×C4C24×C1916yes—
535C22×C4C24×C1916yes—
536C22×C4C24×C1913yes—
537C22×C4C24×C19112yes—
538C22×C4C24×C19112yes—
539C22×C4C24×C1916yes—
540C4⋊C4C24×C1911yescharacteristic
541C4⋊C4C24×C1913yes—
542C4⋊C4C24×C1916yes—
543C4⋊C4C24×C1916yes—
544C4⋊C4C24×C1916yes—
545C4⋊C4C24×C19124yes—
546C4⋊C4C24×C19112yes—
547C4⋊C4C24×C1916yes—
548C4⋊C4C24×C19124yes—
549C4⋊C4C24×C19124yes—
550C4⋊C4C24×C19124yes—
551C4⋊C4C24×C19124yes—
552C4⋊C4C24×C19112yes—
553C4⋊C4C24×C19112yes—
554C4⋊C4C24×C19112yes—
555C4⋊C4C24×C19112yes—
556C4⋊C4C24×C19112yes—
557C4⋊C4C24×C1916yes—
558C4⋊C4C24×C1916yes—
559C4⋊C4C24×C19124yes—
560C4⋊C4C24×C19112yes—
561C4⋊C4C24×C1916yes—
562C4⋊C4C24×C1916yes—
563C22⋊C4C24×C19124yes—
564C22⋊C4C24×C19112yes—
565C22⋊C4C24×C19112yes—
566C22⋊C4C24×C19112yes—
567C22⋊C4C24×C19124yes—
568C22⋊C4C24×C19112yes—
569C22⋊C4C24×C19124yes—
570C22⋊C4C24×C19112yes—
571C22⋊C4C24×C19112yes—
572C42C24×C19112yes—
573C42C24×C19112yes—
574C42C24×C19112yes—
575C42C24×C1916yes—
576C42C24×C19112yes—
577C42C24×C1916yes—
578C42C24×C19124yes—
579C23—26no—
580C23—41no—
581C23—41no—
582C23—43no—
583C23—43no—
584C23C19×2−1+414yes—
585C23C25×C1916yes—
586C23C25×C1913yes—
587Q8—212no—
588Q8—46no—
589Q8—412no—
590Q8—42no—
591Q8—412no—
592Q8—42no—
593D4—224no—
594D4—46no—
595D4—46no—
596C2×C4—212no—
597C2×C4—212no—
598C2×C4—26no—
599C2×C4—26no—
600C2×C4—212no—
601C2×C4—43no—
602C2×C4—46no—
603C2×C4—43no—
604C2×C4—46no—
605C2×C4—412no—
606C2×C4—46no—
607C2×C4—412no—
608C2×C4—43no—
609C2×C4C25×C1912yes—
610C2×C4C25×C1916yes—
611C2×C4C25×C1916yes—
612C2×C4C25×C1916yes—
613C2×C4C25×C19112yes—
614C2×C4C25×C19112yes—
615C2×C4C25×C1916yes—
616C2×C4C25×C1913yes—
617C2×C4C25×C1911yescharacteristic
618C22—23no—
619C22—23no—
620C22—26no—
621C22—26no—
622C22—26no—
623C22—44no—
624C22—86no—
625C22C2×C19×2−1+416yes—
626C22C26×C1911yescharacteristic
627C4—22no—
628C4—26no—
629C4—26no—
630C4—23no—
631C4—26no—
632C4—212no—
633C4—212no—
634C4—26no—
635C4C19×#58512yes—
636C2—26no—
637C2—46no—
638C2C22×C19×2−1+411yescharacteristic
639C2C2×C19×#58511yescharacteristic
640C2C19×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C19C26
commutator, Frattini, cosocleC22C26×C19
prime radicalC19×#3459C2
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×#3538C2semidirect
5. C19×#3523C2semidirect
6. C19×#3501C2semidirect
7. C19×#3495C2semidirect
8. C19×#3491C2semidirect
9. C2×C19×#552C2semidirect
11. C19×#3458C2semidirect
12. C19×#564C22semidirect
13. C19×#563C22semidirect
14. C19×#563C22semidirect
15. C19×#557C22semidirect
16. C19×#557C22semidirect
17. C19×#557C22semidirect
18. C19×#556C22semidirect
19. C19×#556C22semidirect
20. C19×#554C22semidirect
21. C19×#554C22semidirect
22. C19×#552C22semidirect
23. C19×#552C22semidirect
24. C19×#552C22semidirect
25. C19×#552C22semidirect
26. C19×#552C22semidirect
27. C19×#552C22semidirect
28. C19×#552C22semidirect
29. C19×#551C22semidirect
30. C19×#551C22semidirect
31. D4×Q8×C19C22semidirect
32. D4×Q8×C19C22semidirect
33. C19×#544C22semidirect
34. C19×#544C22semidirect
35. C19×#544C22semidirect
36. C19×#544C22semidirect
37. C19×#544C22semidirect
40. C19×#543C22semidirect
41. C19×#542C22semidirect
42. C19×#541C22semidirect
43. C19×#541C22semidirect
44. C19×#541C22semidirect
45. C19×#541C22semidirect
49. C19×#539C22semidirect
51. C19×#536C22semidirect
53. C19×#533C22semidirect
54. C19×#533C22semidirect
55. C19×#533C22semidirect
59. C2×C19×#126C22semidirect
60. C2×C19×#125C22semidirect
61. C2×C19×#125C22semidirect
65. C2×C19×C22⋊Q8C22semidirect
66. C2×C19×C22⋊Q8C22semidirect
67. C19×#520C22semidirect
68. C19×#519C22semidirect
70. C2×C4×Q8×C19C22semidirect
73. C2×C19×#117C22semidirect
258. #62904C19direct (N × H)
298. #3564C2×C19semidirect
299. #3563C2×C19semidirect
300. #3563C2×C19semidirect
301. #3538C2×C19semidirect
302. #3523C2×C19semidirect
303. #3501C2×C19semidirect
304. #3495C2×C19semidirect
305. #3491C2×C19semidirect
306. C2×#552C2×C19semidirect
308. #3458C2×C19semidirect
327. #564C22×C19semidirect
328. #563C22×C19semidirect
329. #563C22×C19semidirect
330. #557C22×C19semidirect
331. #557C22×C19semidirect
332. #557C22×C19semidirect
333. #556C22×C19semidirect
334. #556C22×C19semidirect
335. #554C22×C19semidirect
336. #554C22×C19semidirect
337. #552C22×C19semidirect
338. #552C22×C19semidirect
339. #552C22×C19semidirect
340. #552C22×C19semidirect
341. #552C22×C19semidirect
342. #552C22×C19semidirect
343. #552C22×C19semidirect
344. #551C22×C19semidirect
345. #551C22×C19semidirect
346. D4×Q8C22×C19semidirect
347. D4×Q8C22×C19semidirect
348. #544C22×C19semidirect
349. #544C22×C19semidirect
350. #544C22×C19semidirect
351. #544C22×C19semidirect
352. #544C22×C19semidirect
355. #543C22×C19semidirect
356. #542C22×C19semidirect
357. #541C22×C19semidirect
358. #541C22×C19semidirect
359. #541C22×C19semidirect
360. #541C22×C19semidirect
364. #539C22×C19semidirect
366. #536C22×C19semidirect
368. #533C22×C19semidirect
369. #533C22×C19semidirect
370. #533C22×C19semidirect
374. C2×#126C22×C19semidirect
375. C2×#125C22×C19semidirect
376. C2×#125C22×C19semidirect
380. C2×C22⋊Q8C22×C19semidirect
381. C2×C22⋊Q8C22×C19semidirect
382. #520C22×C19semidirect
383. #519C22×C19semidirect
385. C2×C4×Q8C22×C19semidirect
388. C2×#117C22×C19semidirect
508. C19#62904direct (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×#35382
C19×#35232
C19×#35012
C19×#34952
C19×#34912
C2×C19×#5522
C19×#34592
C19×#34582
#6290419