Finite Group Databasebeta

← #14577967

Subgroups — #14577967

Order 2432.

1260 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11927284C212yesmaximal, complemented
2#11927282C212yesmaximal, complemented
3#11927276C211yesmaximal, characteristic, complemented
4#11927215C211yesmaximal, characteristic, complemented
5#11927213C211yesmaximal, characteristic, complemented
6#11927185C211yesmaximal, characteristic, complemented
7#11927184C212yesmaximal, complemented
8D4×D76C211yesmaximal, characteristic, complemented
9#11927178C211yesmaximal, characteristic, complemented
10D4×C22⋊D19C211yesmaximal, characteristic, complemented
11#11927176C212yesmaximal, complemented
12#11927147C211yesmaximal, characteristic, complemented
13#11927146C212yesmaximal, complemented
14#11927145C211yesmaximal, characteristic, complemented
15#11927112C211yesmaximal, characteristic, complemented
16#11927110C212yesmaximal, complemented
17#11927108C211yesmaximal, characteristic, complemented
18#11927106C212yesmaximal, complemented
19#11927104C212yesmaximal, complemented
20C2×#10597386C211yesmaximal, characteristic, complemented
21#11927080C211yesmaximal, characteristic, complemented
22#11927074C211yesmaximal, characteristic, complemented
23C19×#546C211yesmaximal, characteristic, complemented
24C2×#41×C19C2211yescharacteristic, complemented
25C22×D4×C19C2211yescharacteristic, complemented
26C22×C22⋊D19C2212yescomplemented
27C22×C22⋊D19C2212yescomplemented
28C22×C22⋊D19C2212yescomplemented
29C2×#64545C2211yescharacteristic, complemented
30C2×D4×D19C2212yescomplemented
31C2×D4×D19C2212yescomplemented
32C2×D4×D19C2211yescharacteristic, complemented
33C2×#64541C2212yescomplemented
34C22×D76C2211yescharacteristic, complemented
35C22×D76C2211yescharacteristic, complemented
36C19×#124C2211yescharacteristic, complemented
37C19×#123C2212yescomplemented
38C19×C22⋊Q8C2211yescharacteristic, complemented
39C19×#121C2212yescomplemented
40C19×#121C2211yescharacteristic, complemented
41C19×#120C2212yescomplemented
42C4×D4×C19C2211yescharacteristic, complemented
43C4×D4×C19C2211yescharacteristic, complemented
44C2×C22⋊C4×C19C2212yescomplemented
45#10597399C2212yescomplemented
46#10597393C2211yescharacteristic, complemented
47#10597393C2211yescharacteristic, complemented
48Q8×Dic19C2211yescharacteristic, complemented
49#10597386C2211yescharacteristic
50#10597386C2211yescharacteristic, complemented
51#10597386C2212yescomplemented
52#10597386C2211yescharacteristic, complemented
53#10597386C2211yescharacteristic, complemented
54#10597386C2212yescomplemented
55#10597386C2211yescharacteristic, complemented
56#10597386C2212yescomplemented
57#10597385C2211yescharacteristic
58#10597385C2212yescomplemented
59#10597385C2212yescomplemented
60#10597384C2212yescomplemented
61#10597384C2212yescomplemented
62#10597384C2211yescharacteristic, complemented
63#10597383C2212yescomplemented
64#10597383C2212yescomplemented
65#10597383C2212yescomplemented
66#10597383C2212yescomplemented
67#10597381C2211yescharacteristic, complemented
68D4×Dic19C2211yescharacteristic, complemented
69#10597376C2211yescharacteristic
70#10597376C2212yescomplemented
71#10597376C2212yescomplemented
72#10597376C2212yescomplemented
73#10597376C2212yescomplemented
74#10597376C2212yescomplemented
75#10597376C2211yescharacteristic, complemented
76#10597375C2212yescomplemented
77C4×C22⋊D19C2211yescharacteristic, complemented
78C4×C22⋊D19C2211yescharacteristic, complemented
79C4×C22⋊D19C2212yescomplemented
80#10597372C2211yescharacteristic, complemented
81C2×C4×Dic19C2211yescharacteristic, complemented
82#10597344C2211yescharacteristic, complemented
83#10597344C2212yescomplemented
84#10597341C2212yescomplemented
85#10597341C2211yescharacteristic, complemented
86#10597341C2212yescomplemented
87#10597340C2212yescomplemented
88#10597339C2211yescharacteristic, complemented
89#10597339C2211yescharacteristic, complemented
90#10597338C2212yescomplemented
91#10597336C2211yescharacteristic, complemented
92#10597335C2211yescharacteristic, complemented
93#10597332C2211yescharacteristic, complemented
94#10597332C2212yescomplemented
95#10597332C2212yescomplemented
96#10597332C2212yescomplemented
97#10597331C2211yescharacteristic, complemented
98#10597331C2212yescomplemented
99#10597330C2212yescomplemented
100#10597330C2212yescomplemented
101#10597330C2212yescomplemented
102#10597330C2212yescomplemented
103#10597330C2212yescomplemented
104#10597330C2212yescomplemented
105#10597329C2212yescomplemented
106#10597329C2212yescomplemented
107#10597329C2212yescomplemented
108#10597328C2212yescomplemented
109#10597328C2212yescomplemented
110#10597328C2212yescomplemented
111#10597328C2212yescomplemented
112#10597328C2212yescomplemented
113#10597328C2212yescomplemented
114(C22⋊D19)⋊C4C2212yescomplemented
115(C22⋊D19)⋊C4C2212yescomplemented
116C22⋊C4×D19C2212yescomplemented
117#10597325C2211yescharacteristic, complemented
118#10597324C2211yescharacteristic, complemented
119#10597320C2211yescharacteristic, complemented
120C4×D76C2211yescharacteristic, complemented
121#10597318C2211yescharacteristic, complemented
122C4×Dic38C2211yescharacteristic, complemented
123C24×C19C2312yes—
124C23×D19C2312yes—
125C23×D19C2312yes—
126C23×D19C2312yes—
127#41×C19—42no—
128C2×Q8×C19C2311yescharacteristic
129C2×D4×C19—42no—
130C2×D4×C19C2311yescharacteristic
131C2×D4×C19C2311yescharacteristic
132C2×D4×C19C2311yescharacteristic
133C2×D4×C19C2312yes—
134C2×D4×C19C2312yes—
135C2×D4×C19C2312yes—
136C22×C4×C19C2311yescharacteristic
137C22×C4×C19C2311yescharacteristic
138C22×C4×C19C2312yes—
139C22×C4×C19C2312yes—
140C2×C22⋊D19—44no—
141C2×C22⋊D19—44no—
142C2×C22⋊D19—44no—
143C2×C22⋊D19C2312yes—
144C2×C22⋊D19C2311yescharacteristic
145C2×C22⋊D19C2311yescharacteristic
146C2×C22⋊D19C2312yes—
147C2×C22⋊D19C2312yes—
148C2×C22⋊D19C2312yes—
149C2×C22⋊D19C2312yes—
150C2×C22⋊D19C2312yes—
151C2×C22⋊D19C2312yes—
152C2×C22⋊D19C2312yes—
153C2×C22⋊D19C2312yes—
154C2×C22⋊D19C2312yes—
155C2×C22⋊D19C2312yes—
156C2×C22⋊D19C2312yes—
157C2×C22⋊D19C2312yes—
158C2×C22⋊D19C2312yes—
159C22×Dic19C2311yescharacteristic
160C22×Dic19C2311yescharacteristic
161C22×Dic19C2312yes—
162#64545—42no—
163D4×D19—42no—
164D4×D19—44no—
165D4×D19—44no—
166#64541—44no—
167C2×D76—42no—
168C2×D76—42no—
169C2×D76C2311yescharacteristic
170C2×D76C2311yescharacteristic
171C2×D76C2311yescharacteristic
172C2×D76C2312yes—
173C2×D76C2312yes—
174C2×D76C2312yes—
175C2×D76C2312yes—
176C2×D76C2312yes—
177C2×D76C2312yes—
178C2×C4×D19C2311yescharacteristic
179C2×C4×D19C2312yes—
180C2×C4×D19C2312yes—
181C2×C4×D19C2312yes—
182C2×C4×D19C2312yes—
183C2×Dic38C2311yescharacteristic
184C4⋊C4×C19C2311yescharacteristic
185C4⋊C4×C19C2311yescharacteristic
186C4⋊C4×C19C2312yes—
187C22⋊C4×C19C2311yescharacteristic
188C22⋊C4×C19C2312yes—
189C22⋊C4×C19C2312yes—
190C22⋊C4×C19C2312yes—
191C22⋊C4×C19C2312yes—
192C22⋊C4×C19C2311yescharacteristic
193C22⋊C4×C19C2312yes—
194C42×C19C2311yescharacteristic
195C22⋊Dic19C2312yes—
196C22⋊Dic19C2311yescharacteristic
197C22⋊Dic19C2311yescharacteristic
198C22⋊Dic19C2311yescharacteristic
199C22⋊Dic19C2311yescharacteristic
200C22⋊Dic19C2312yes—
201(C2×D19)⋊C4C2312yes—
202(C2×D19)⋊C4C2311yescharacteristic
203(C2×D19)⋊C4C2311yescharacteristic
204(C2×D19)⋊C4C2312yes—
205(C2×D19)⋊C4C2312yes—
206(C2×D19)⋊C4C2312yes—
207(C2×D19)⋊C4C2312yes—
208(C2×D19)⋊C4C2312yes—
209(C2×D19)⋊C4C2312yes—
210(C2×D19)⋊C4C2312yes—
211(C2×D19)⋊C4C2312yes—
212(C2×D19)⋊C4C2311yescharacteristic
213(C2×D19)⋊C4C2312yes—
214(C2×D19)⋊C4C2311yescharacteristic
215C4⋊Dic19C2311yescharacteristic
216C4⋊Dic19C2311yescharacteristic
217C4⋊Dic19C2311yescharacteristic
218C4⋊Dic19C2311yescharacteristic
219C4⋊Dic19C2312yes—
220C4⋊Dic19C2312yes—
221Dic19⋊C4C2311yescharacteristic
222Dic19⋊C4C2311yescharacteristic
223Dic19⋊C4C2311yescharacteristic
224Dic19⋊C4C2311yescharacteristic
225Dic19⋊C4C2312yes—
226Dic19⋊C4C2311yescharacteristic
227Dic19⋊C4C2311yescharacteristic
228C4×Dic19C2311yescharacteristic
229C4×Dic19C2311yescharacteristic
230C4×Dic19C2311yescharacteristic
231C4×Dic19C2311yescharacteristic
232C4×Dic19C2311yescharacteristic
233C4×Dic19C2312yes—
234C23×C19—24no—
235C23×C19—42no—
236C23×C19—42no—
237C23×C19C2411yescharacteristic
238C23×C19C2412yes—
239C23×C19C2412yes—
240C23×C19C2411yescharacteristic
241C22×D19—24no—
242C22×D19—42no—
243C22×D19—42no—
244C22×D19—42no—
245C22×D19—42no—
246C22×D19—42no—
247C22×D19—42no—
248C22×D19—42no—
249C22×D19—42no—
250C22×D19C2411yescharacteristic
251C22×D19C2412yes—
252C22×D19C2412yes—
253C22×D19C2412yes—
254Q8×C19—22no—
255D4×C19—22no—
256D4×C19—22no—
257D4×C19—22no—
258D4×C19—42no—
259D4×C19—42no—
260D4×C19—42no—
261C2×C4×C19—22no—
262C2×C4×C19—22no—
263C2×C4×C19—42no—
264C2×C4×C19—42no—
265C2×C4×C19C2411yescharacteristic
266C2×C4×C19C2412yes—
267C2×C4×C19C2411yescharacteristic
268C2×C4×C19C2411yescharacteristic
269C2×C4×C19C2411yescharacteristic
270C2×C4×C19C2412yes—
271C2×C4×C19C2411yescharacteristic
272C22⋊D19—24no—
273C22⋊D19—22no—
274C22⋊D19—24no—
275C22⋊D19—22no—
276C22⋊D19—24no—
277C22⋊D19—42no—
278C22⋊D19—42no—
279C22⋊D19—42no—
280C22⋊D19—42no—
281C22⋊D19—42no—
282C22⋊D19—42no—
283C22⋊D19—42no—
284C22⋊D19—42no—
285C22⋊D19—42no—
286C22⋊D19—42no—
287C22⋊D19—42no—
288C2×Dic19—22no—
289C2×Dic19—22no—
290C2×Dic19—42no—
291C2×Dic19C2411yescharacteristic
292C2×Dic19C2411yescharacteristic
293C2×Dic19C2411yescharacteristic
294C2×Dic19C2411yescharacteristic
295C2×Dic19C2412yes—
296C2×Dic19C2411yescharacteristic
297C2×Dic19C2411yescharacteristic
298C2×Dic19C2411yescharacteristic
299D76—22no—
300D76—22no—
301D76—22no—
302D76—42no—
303D76—42no—
304D76—42no—
305D76—42no—
306D76—42no—
307D76—42no—
308C4×D19—22no—
309C4×D19—24no—
310C4×D19—42no—
311C4×D19—42no—
312C4×D19—42no—
313Dic38—22no—
314#3543—191nomaximal, Sylow
315C22×C19—21no—
316C22×C19—21no—
317C22×C19—22no—
318C22×C19—22no—
319C22×C19—22no—
320C22×C19—21no—
321C22×C19—22no—
322C22×C19—21no—
323C22×C19—22no—
324C22×C19—21no—
325C22×C19—22no—
326C22×C19—84no—
327C22×C19H(5,𝔽2)12yes—
328C22×C19C2511yescharacteristic
329C2×D19—21no—
330C2×D19—22no—
331C2×D19—22no—
332C2×D19—22no—
333C2×D19—22no—
334C2×D19—22no—
335C2×D19—22no—
336C2×D19—21no—
337C2×D19—22no—
338C2×D19—22no—
339C2×D19—22no—
340C2×D19—21no—
341C2×D19—84no—
342C2×D19—84no—
343C2×D19—84no—
344C4×C19—21no—
345C4×C19—22no—
346C4×C19—21no—
347C4×C19—22no—
348C4×C19—21no—
349C4×C19—21no—
350C4×C19H(5,𝔽2)12yes—
351Dic19—21no—
352Dic19—21no—
353Dic19—22no—
354Dic19—21no—
355Dic19—21no—
356Dic19—21no—
357Dic19—21no—
358Dic19H(5,𝔽2)12yes—
359#560—192no—
360#560—192no—
361#559—191no—
362#550—191no—
363#550—191no—
364#546—191no—
365#546—192no—
366#546D1911yescharacteristic, complemented
367D42—191no—
368D42—191no—
369D42—192no—
370D42—191no—
371#540—192no—
372#540—191no—
373#540—191no—
374#535—191no—
375#535—191no—
376#535—192no—
377#534—192no—
378#534—192no—
379C2×#127—191no—
380#529—191no—
381#529—191no—
382C2×C19—22no—
383C2×C19—41no—
384C2×C19—42no—
385C2×C19—42no—
386C2×C19C2×H(5,𝔽2)11yescharacteristic
387C2×C19C2×H(5,𝔽2)11yescharacteristic
388C2×C19C2×H(5,𝔽2)11yescharacteristic
389D19—42no—
390D19—41no—
391D19—42no—
392D19—42no—
393C2×#41—191no—
394C2×#41—192no—
395C2×#41C2×D1911yescharacteristic, complemented
396C22×D4—192no—
397C22×D4—192no—
398C22×D4—192no—
399C22×D4—192no—
400C22×D4—192no—
401C22×D4—191no—
402C22×D4—191no—
403C22×D4—191no—
404C22×D4C2×D1911yescharacteristic, complemented
405#127—191no—
406#127—192no—
407#127—191no—
408#127—191no—
409#127—191no—
410#127—192no—
411#127—192no—
412#127—191no—
413#127—191no—
414#126—192no—
415#126—191no—
416#126—191no—
417#125—191no—
418#125—191no—
419#124—191no—
420#124—191no—
421#124—191no—
422#124—192no—
423#124C2×D1911yescharacteristic, complemented
424#123—191no—
425#123—192no—
426#123—192no—
427#123—192no—
428#123—191no—
429#123—192no—
430#123—192no—
431#123—192no—
432#123—192no—
433#123—192no—
434#123C2×D1912yescomplemented
435C22⋊Q8—191no—
436C22⋊Q8C2×D1911yescharacteristic, complemented
437#121—192no—
438#121—192no—
439#121—191no—
440#121—191no—
441#121—192no—
442#121—192no—
443#121—191no—
444#121—192no—
445#121—192no—
446#121—192no—
447#121—192no—
448#121—192no—
449#121—191no—
450#121—192no—
451#121—191no—
452#121—192no—
453#121—192no—
454#121—192no—
455#121—192no—
456#121—192no—
457#121—192no—
458#121—192no—
459#121C2×D1912yescomplemented
460#121C2×D1911yescharacteristic, complemented
461#120—192no—
462#120—192no—
463#120—192no—
464#120—192no—
465#120—192no—
466#120—192no—
467#120—192no—
468#120—192no—
469#120—192no—
470#120—192no—
471#120—192no—
472#120C2×D1912yescomplemented
473C4×Q8—191no—
474C4×Q8—191no—
475C4×D4—191no—
476C4×D4—191no—
477C4×D4—191no—
478C4×D4—192no—
479C4×D4—191no—
480C4×D4—191no—
481C4×D4—192no—
482C4×D4—192no—
483C4×D4—191no—
484C4×D4C2×D1911yescharacteristic, complemented
485C4×D4C2×D1911yescharacteristic, complemented
486#117—191no—
487#117—192no—
488#117—191no—
489C2×C22⋊C4—192no—
490C2×C22⋊C4C2×D1912yescomplemented
491C2×C42—191no—
492C19#354311yescharacteristic, complemented, Sylow
493C24—192no—
494C24—192no—
495C24—192no—
496C24C22×D1912yes—
497#41—42no—
498#41—764no—
499#41—762no—
500C2×Q8—191no—
501C2×Q8C22×D1911yescharacteristic
502C2×D4—42no—
503C2×D4—192no—
504C2×D4—191no—
505C2×D4—191no—
506C2×D4—192no—
507C2×D4—192no—
508C2×D4—192no—
509C2×D4—192no—
510C2×D4—192no—
511C2×D4—192no—
512C2×D4—192no—
513C2×D4—192no—
514C2×D4—192no—
515C2×D4—192no—
516C2×D4—192no—
517C2×D4—192no—
518C2×D4—192no—
519C2×D4—191no—
520C2×D4—191no—
521C2×D4—191no—
522C2×D4—192no—
523C2×D4—192no—
524C2×D4—192no—
525C2×D4—192no—
526C2×D4—192no—
527C2×D4—192no—
528C2×D4—762no—
529C2×D4—762no—
530C2×D4—762no—
531C2×D4—764no—
532C2×D4—764no—
533C2×D4—764no—
534C2×D4—764no—
535C2×D4—764no—
536C2×D4C22×D1911yescharacteristic
537C2×D4C22×D1911yescharacteristic
538C2×D4C22×D1911yescharacteristic
539C2×D4C22×D1912yes—
540C2×D4C22×D1912yes—
541C2×D4C22×D1912yes—
542C22×C4—191no—
543C22×C4—191no—
544C22×C4—192no—
545C22×C4—192no—
546C22×C4—191no—
547C22×C4—192no—
548C22×C4—192no—
549C22×C4—192no—
550C22×C4C22×D1911yescharacteristic
551C22×C4C22×D1911yescharacteristic
552C22×C4C22×D1912yes—
553C22×C4C22×D1912yes—
554C4⋊C4—191no—
555C4⋊C4—191no—
556C4⋊C4—191no—
557C4⋊C4—191no—
558C4⋊C4—192no—
559C4⋊C4—191no—
560C4⋊C4—191no—
561C4⋊C4—191no—
562C4⋊C4—191no—
563C4⋊C4—192no—
564C4⋊C4—191no—
565C4⋊C4—192no—
566C4⋊C4—191no—
567C4⋊C4C22×D1912yes—
568C4⋊C4C22×D1911yescharacteristic
569C4⋊C4C22×D1911yescharacteristic
570C22⋊C4—191no—
571C22⋊C4—191no—
572C22⋊C4—191no—
573C22⋊C4—191no—
574C22⋊C4—192no—
575C22⋊C4—192no—
576C22⋊C4—192no—
577C22⋊C4—192no—
578C22⋊C4—191no—
579C22⋊C4—192no—
580C22⋊C4—192no—
581C22⋊C4—191no—
582C22⋊C4—191no—
583C22⋊C4—192no—
584C22⋊C4—192no—
585C22⋊C4—191no—
586C22⋊C4—192no—
587C22⋊C4—192no—
588C22⋊C4—192no—
589C22⋊C4—192no—
590C22⋊C4C22×D1912yes—
591C22⋊C4C22×D1911yescharacteristic
592C22⋊C4C22×D1912yes—
593C22⋊C4C22×D1912yes—
594C22⋊C4C22×D1912yes—
595C22⋊C4C22×D1911yescharacteristic
596C22⋊C4C22×D1912yes—
597C42—191no—
598C42—191no—
599C42—191no—
600C42—191no—
601C42—192no—
602C42—191no—
603C42C22×D1911yescharacteristic
604C23—24no—
605C23—42no—
606C23—42no—
607C23—192no—
608C23—191no—
609C23—192no—
610C23—192no—
611C23—384no—
612C23—762no—
613C23—762no—
614C23—762no—
615C23—762no—
616C23—762no—
617C23—762no—
618C23—762no—
619C23—762no—
620C23C23×D1911yescharacteristic
621C23C23×D1912yes—
622C23C23×D1912yes—
623C23C23×D1911yescharacteristic
624Q8—22no—
625Q8—382no—
626D4—22no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—382no—
633D4—384no—
634D4—384no—
635D4—384no—
636D4—382no—
637D4—382no—
638D4—382no—
639D4—382no—
640D4—762no—
641D4—762no—
642D4—762no—
643D4—762no—
644D4—762no—
645D4—762no—
646D4—762no—
647D4—762no—
648D4—762no—
649D4—762no—
650D4—762no—
651D4—762no—
652D4—762no—
653D4—762no—
654D4—762no—
655D4—762no—
656D4—762no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—191no—
662C2×C4—191no—
663C2×C4—191no—
664C2×C4—191no—
665C2×C4—191no—
666C2×C4—191no—
667C2×C4—192no—
668C2×C4—191no—
669C2×C4—384no—
670C2×C4—382no—
671C2×C4—382no—
672C2×C4—382no—
673C2×C4—762no—
674C2×C4—762no—
675C2×C4—762no—
676C2×C4—762no—
677C2×C4C23×D1911yescharacteristic
678C2×C4C23×D1912yes—
679C2×C4C23×D1911yescharacteristic
680C2×C4C23×D1911yescharacteristic
681C2×C4C23×D1911yescharacteristic
682C2×C4C23×D1912yes—
683C2×C4C23×D1911yescharacteristic
684C22—21no—
685C22—21no—
686C22—22no—
687C22—21no—
688C22—22no—
689C22—21no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—21no—
694C22—22no—
695C22—84no—
696C22—382no—
697C22—382no—
698C22—381no—
699C22—382no—
700C22—381no—
701C22—382no—
702C22—382no—
703C22—382no—
704C22—382no—
705C22—382no—
706C22—381no—
707C22—382no—
708C22—1524no—
709C22—1524no—
710C22—1524no—
711C22#1059743512yes—
712C22C24×D1911yescharacteristic
713C4—21no—
714C4—22no—
715C4—21no—
716C4—21no—
717C4—22no—
718C4—21no—
719C4—192no—
720C4—381no—
721C4—381no—
722C4—381no—
723C4—381no—
724C4—381no—
725C4—382no—
726C4—381no—
727C4#1059743012yes—
728C2—22no—
729C2—42no—
730C2—42no—
731C2—41no—
732C2—762no—
733C2—761no—
734C2—762no—
735C2—762no—
736C2H(5,𝔽2)×D1911yescharacteristic
737C2C2×#1059743011yescharacteristic
738C2C2×#1059743511yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#546C2
hypercenter#546D19
hypocenterC19#3543
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #546

Complements

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

NH ≅ G/Ntype
1. #11927284C2semidirect
2. #11927282C2semidirect
3. #11927276C2semidirect
4. #11927215C2semidirect
5. #11927213C2semidirect
6. #11927185C2semidirect
7. #11927184C2semidirect
8. D4×D76C2semidirect
9. #11927178C2semidirect
10. D4×C22⋊D19C2semidirect
11. #11927176C2semidirect
12. #11927147C2semidirect
13. #11927146C2semidirect
14. #11927145C2semidirect
15. #11927112C2semidirect
16. #11927110C2semidirect
17. #11927108C2semidirect
18. #11927106C2semidirect
19. #11927104C2semidirect
20. C2×#10597386C2semidirect
21. #11927080C2semidirect
22. #11927074C2semidirect
23. C19×#546C2semidirect
24. C2×#41×C19C22semidirect
25. C22×D4×C19C22semidirect
26. C22×C22⋊D19C22semidirect
27. C22×C22⋊D19C22semidirect
28. C22×C22⋊D19C22semidirect
29. C2×#64545C22semidirect
30. C2×D4×D19C22semidirect
31. C2×D4×D19C22semidirect
32. C2×D4×D19C22semidirect
33. C2×#64541C22semidirect
34. C22×D76C22semidirect
35. C22×D76C22semidirect
36. C19×#124C22semidirect
37. C19×#123C22semidirect
38. C19×C22⋊Q8C22semidirect
39. C19×#121C22semidirect
40. C19×#121C22semidirect
41. C19×#120C22semidirect
42. C4×D4×C19C22semidirect
43. C4×D4×C19C22semidirect
44. C2×C22⋊C4×C19C22semidirect
45. #10597399C22semidirect
46. #10597393C22semidirect
47. #10597393C22semidirect
48. Q8×Dic19C22semidirect
50. #10597386C22semidirect
51. #10597386C22semidirect
52. #10597386C22semidirect
53. #10597386C22semidirect
54. #10597386C22semidirect
55. #10597386C22semidirect
56. #10597386C22semidirect
58. #10597385C22semidirect
59. #10597385C22semidirect
60. #10597384C22semidirect
61. #10597384C22semidirect
62. #10597384C22semidirect
63. #10597383C22semidirect
64. #10597383C22semidirect
65. #10597383C22semidirect
66. #10597383C22semidirect
67. #10597381C22semidirect
68. D4×Dic19C22semidirect
70. #10597376C22semidirect
71. #10597376C22semidirect
72. #10597376C22semidirect
73. #10597376C22semidirect
74. #10597376C22semidirect
75. #10597376C22semidirect
76. #10597375C22semidirect
77. C4×C22⋊D19C22semidirect
78. C4×C22⋊D19C22semidirect
79. C4×C22⋊D19C22semidirect
80. #10597372C22semidirect
81. C2×C4×Dic19C22semidirect
82. #10597344C22semidirect
83. #10597344C22semidirect
84. #10597341C22semidirect
85. #10597341C22semidirect
86. #10597341C22semidirect
87. #10597340C22semidirect
88. #10597339C22semidirect
89. #10597339C22semidirect
90. #10597338C22semidirect
91. #10597336C22semidirect
92. #10597335C22semidirect
93. #10597332C22semidirect
94. #10597332C22semidirect
95. #10597332C22semidirect
96. #10597332C22semidirect
97. #10597331C22semidirect
98. #10597331C22semidirect
99. #10597330C22semidirect
100. #10597330C22semidirect
101. #10597330C22semidirect
102. #10597330C22semidirect
103. #10597330C22semidirect
104. #10597330C22semidirect
105. #10597329C22semidirect
106. #10597329C22semidirect
107. #10597329C22semidirect
108. #10597328C22semidirect
109. #10597328C22semidirect
110. #10597328C22semidirect
111. #10597328C22semidirect
112. #10597328C22semidirect
113. #10597328C22semidirect
114. (C22⋊D19)⋊C4C22semidirect
115. (C22⋊D19)⋊C4C22semidirect
116. C22⋊C4×D19C22semidirect
117. #10597325C22semidirect
118. #10597324C22semidirect
119. #10597320C22semidirect
120. C4×D76C22semidirect
121. #10597318C22semidirect
122. C4×Dic38C22semidirect
366. #546D19semidirect
395. C2×#41C2×D19semidirect
404. C22×D4C2×D19semidirect
423. #124C2×D19semidirect
434. #123C2×D19semidirect
436. C22⋊Q8C2×D19semidirect
459. #121C2×D19semidirect
460. #121C2×D19semidirect
472. #120C2×D19semidirect
484. C4×D4C2×D19semidirect
485. C4×D4C2×D19semidirect
490. C2×C22⋊C4C2×D19semidirect
492. C19#3543semidirect

Maximal subgroups

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

subgroupindex
#119272842
#119272822
#119272762
#119272152
#119272132
#119271852
#119271842
D4×D762
#119271782
D4×C22⋊D192
#119271762
#119271472
#119271462
#119271452
#119271122
#119271102
#119271082
#119271062
#119271042
C2×#105973862
#119270802
#119270742
C19×#5462
#354319