Finite Group Databasebeta

← #14577961

Subgroups — #14577961

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#11927283C212yesmaximal, complemented
2#11927282C212yesmaximal, complemented
3#11927276C211yesmaximal, characteristic, complemented
4#11927214C211yesmaximal, characteristic, complemented
5#11927213C211yesmaximal, characteristic, complemented
6#11927187C211yesmaximal, characteristic, complemented
7#11927183C212yesmaximal, complemented
8#11927182C211yesmaximal, characteristic, complemented
9#11927179C211yesmaximal, characteristic, complemented
10D4×C22⋊D19C211yesmaximal, characteristic, complemented
11D4×C22⋊D19C211yesmaximal, characteristic, complemented
12#11927176C212yesmaximal, complemented
13#11927149C211yesmaximal, characteristic, complemented
14#11927148C211yesmaximal, characteristic, complemented
15#11927144C212yesmaximal, complemented
16#11927112C211yesmaximal, characteristic, complemented
17#11927109C212yesmaximal, complemented
18#11927104C212yesmaximal, complemented
19#11927102C212yesmaximal, complemented
20#127×D19C211yesmaximal, characteristic, complemented
21#11927073C211yesmaximal, characteristic, complemented
22#11927072C211yesmaximal, characteristic, complemented
23C19×#535C211yesmaximal, characteristic, complemented
24C2×#41×C19C2211yescharacteristic, complemented
25C22×D4×C19C2211yescharacteristic, complemented
26C22×C22⋊D19C2212yescomplemented
27C22×C22⋊D19C2212yescomplemented
28C2×#64545C2211yescharacteristic, complemented
29C2×#64543C2212yescomplemented
30C2×D4×D19C2212yescomplemented
31C2×D4×D19C2212yescomplemented
32C2×D4×D19C2211yescharacteristic, complemented
33C2×D4×D19C2211yescharacteristic, complemented
34C2×D4×D19C2212yescomplemented
35C2×D4×D19C2211yescharacteristic, complemented
36C19×#127C2211yescharacteristic, complemented
37C19×#127C2211yescharacteristic, complemented
38C19×#124C2211yescharacteristic, complemented
39C19×#124C2211yescharacteristic, complemented
40C19×#121C2212yescomplemented
41C19×#121C2212yescomplemented
42C19×#120C2212yescomplemented
43C19×#120C2212yescomplemented
44C19×#117C2211yescharacteristic, complemented
45#10597399C2212yescomplemented
46#10597399C2212yescomplemented
47#10597393C2211yescharacteristic, complemented
48#10597392C2211yescharacteristic, complemented
49Q8×Dic19C2211yescharacteristic, complemented
50#10597386C2211yescharacteristic
51#10597386C2212yescomplemented
52#10597386C2211yescharacteristic, complemented
53#10597386C2212yescomplemented
54#10597386C2212yescomplemented
55#10597386C2211yescharacteristic, complemented
56#10597385C2212yescomplemented
57#10597385C2212yescomplemented
58#10597385C2212yescomplemented
59#10597385C2212yescomplemented
60#10597385C2212yescomplemented
61#10597385C2212yescomplemented
62#10597385C2212yescomplemented
63#10597384C2211yescharacteristic
64#10597384C2212yescomplemented
65#10597384C2212yescomplemented
66#10597384C2212yescomplemented
67#10597384C2211yescharacteristic, complemented
68#10597384C2211yescharacteristic, complemented
69#10597383C2212yescomplemented
70#10597383C2212yescomplemented
71#10597383C2212yescomplemented
72#10597383C2212yescomplemented
73#10597383C2212yescomplemented
74#10597381C2212yescomplemented
75#10597381C2212yescomplemented
76D4×Dic19C2211yescharacteristic, complemented
77D4×Dic19C2211yescharacteristic, complemented
78D4×Dic19C2211yescharacteristic, complemented
79#10597376C2212yescomplemented
80#10597376C2211yescharacteristic, complemented
81#10597376C2211yescharacteristic, complemented
82#10597375C2212yescomplemented
83C4×C22⋊D19C2211yescharacteristic, complemented
84C4×C22⋊D19C2211yescharacteristic, complemented
85C4×C22⋊D19C2212yescomplemented
86C2×(C2×D19)⋊C4C2212yescomplemented
87#10597344C2211yescharacteristic, complemented
88#10597342C2211yescharacteristic, complemented
89#10597340C2211yescharacteristic, complemented
90#10597340C2212yescomplemented
91#10597340C2212yescomplemented
92#10597335C2211yescharacteristic, complemented
93#10597332C2212yescomplemented
94#10597331C2211yescharacteristic, complemented
95#10597331C2212yescomplemented
96#10597330C2211yescharacteristic
97#10597330C2212yescomplemented
98#10597330C2212yescomplemented
99#10597330C2212yescomplemented
100#10597330C2212yescomplemented
101#10597330C2212yescomplemented
102#10597329C2211yescharacteristic, complemented
103#10597329C2212yescomplemented
104#10597329C2212yescomplemented
105#10597329C2212yescomplemented
106#10597328C2212yescomplemented
107#10597328C2212yescomplemented
108#10597328C2212yescomplemented
109(C22⋊D19)⋊C4C2212yescomplemented
110(C22⋊D19)⋊C4C2212yescomplemented
111C22⋊C4×D19C2212yescomplemented
112#10597325C2211yescharacteristic, complemented
113#10597325C2212yescomplemented
114#10597323C2212yescomplemented
115#10597320C2211yescharacteristic, complemented
116C4×D76C2211yescharacteristic, complemented
117C4×D76C2211yescharacteristic, complemented
118C4×D76C2211yescharacteristic, complemented
119#10597318C2211yescharacteristic, complemented
120C42×D19C2211yescharacteristic, complemented
121#10597316C2211yescharacteristic, 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—
136C2×D4×C19C2312yes—
137C2×D4×C19C2312yes—
138C2×D4×C19C2312yes—
139C22×C4×C19C2311yescharacteristic
140C22×C4×C19C2312yes—
141C2×C22⋊D19—44no—
142C2×C22⋊D19—44no—
143C2×C22⋊D19C2312yes—
144C2×C22⋊D19C2311yescharacteristic
145C2×C22⋊D19C2312yes—
146C2×C22⋊D19C2312yes—
147C2×C22⋊D19C2311yescharacteristic
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×Dic19C2312yes—
160C22×Dic19C2312yes—
161C22×Dic19C2312yes—
162#64545—42no—
163#64543—44no—
164D4×D19—42no—
165D4×D19—42no—
166D4×D19—42no—
167D4×D19—44no—
168D4×D19—44no—
169D4×D19—44no—
170C2×D76C2311yescharacteristic
171C2×D76C2311yescharacteristic
172C2×D76C2311yescharacteristic
173C2×D76C2312yes—
174C2×D76C2312yes—
175C2×D76C2312yes—
176C2×C4×D19C2311yescharacteristic
177C2×C4×D19C2311yescharacteristic
178C2×C4×D19C2311yescharacteristic
179C2×C4×D19C2311yescharacteristic
180C2×C4×D19C2312yes—
181C2×C4×D19C2312yes—
182C2×C4×D19C2312yes—
183C2×Dic38C2311yescharacteristic
184C4⋊C4×C19C2311yescharacteristic
185C4⋊C4×C19C2311yescharacteristic
186C22⋊C4×C19C2311yescharacteristic
187C22⋊C4×C19C2311yescharacteristic
188C22⋊C4×C19C2312yes—
189C22⋊C4×C19C2312yes—
190C22⋊C4×C19C2312yes—
191C22⋊C4×C19C2312yes—
192C42×C19C2311yescharacteristic
193C42×C19C2311yescharacteristic
194C22⋊Dic19C2312yes—
195C22⋊Dic19C2312yes—
196C22⋊Dic19C2312yes—
197C22⋊Dic19C2312yes—
198C22⋊Dic19C2312yes—
199C22⋊Dic19C2312yes—
200C22⋊Dic19C2311yescharacteristic
201C22⋊Dic19C2311yescharacteristic
202(C2×D19)⋊C4C2311yescharacteristic
203(C2×D19)⋊C4C2312yes—
204(C2×D19)⋊C4C2312yes—
205(C2×D19)⋊C4C2311yescharacteristic
206(C2×D19)⋊C4C2311yescharacteristic
207(C2×D19)⋊C4C2312yes—
208(C2×D19)⋊C4C2311yescharacteristic
209(C2×D19)⋊C4C2312yes—
210(C2×D19)⋊C4C2312yes—
211(C2×D19)⋊C4C2311yescharacteristic
212(C2×D19)⋊C4C2311yescharacteristic
213(C2×D19)⋊C4C2312yes—
214(C2×D19)⋊C4C2312yes—
215C4⋊Dic19C2311yescharacteristic
216C4⋊Dic19C2311yescharacteristic
217C4⋊Dic19C2312yes—
218C4⋊Dic19C2311yescharacteristic
219C4⋊Dic19C2311yescharacteristic
220Dic19⋊C4C2311yescharacteristic
221Dic19⋊C4C2311yescharacteristic
222Dic19⋊C4C2312yes—
223Dic19⋊C4C2312yes—
224Dic19⋊C4C2311yescharacteristic
225Dic19⋊C4C2311yescharacteristic
226Dic19⋊C4C2311yescharacteristic
227Dic19⋊C4C2311yescharacteristic
228Dic19⋊C4C2312yes—
229C4×Dic19C2311yescharacteristic
230C4×Dic19C2311yescharacteristic
231C4×Dic19C2311yescharacteristic
232C4×Dic19C2311yescharacteristic
233C4×Dic19C2312yes—
234C23×C19—42no—
235C23×C19—42no—
236C23×C19—42no—
237C23×C19C2412yes—
238C23×C19C2412yes—
239C23×C19C2411yescharacteristic
240C23×C19C2412yes—
241C22×D19—24no—
242C22×D19—24no—
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×D19C2411yescharacteristic
254Q8×C19—22no—
255D4×C19—22no—
256D4×C19—22no—
257D4×C19—22no—
258D4×C19—42no—
259D4×C19—42no—
260D4×C19—42no—
261D4×C19—42no—
262D4×C19—42no—
263D4×C19—42no—
264C2×C4×C19—22no—
265C2×C4×C19—42no—
266C2×C4×C19C2411yescharacteristic
267C2×C4×C19C2411yescharacteristic
268C2×C4×C19C2412yes—
269C2×C4×C19C2411yescharacteristic
270C2×C4×C19C2411yescharacteristic
271C2×C4×C19C2411yescharacteristic
272C2×C4×C19C2411yescharacteristic
273C22⋊D19—24no—
274C22⋊D19—22no—
275C22⋊D19—24no—
276C22⋊D19—24no—
277C22⋊D19—22no—
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—
288C22⋊D19—42no—
289C2×Dic19—24no—
290C2×Dic19—42no—
291C2×Dic19—42no—
292C2×Dic19C2411yescharacteristic
293C2×Dic19C2411yescharacteristic
294C2×Dic19C2411yescharacteristic
295C2×Dic19C2412yes—
296C2×Dic19C2411yescharacteristic
297C2×Dic19C2412yes—
298C2×Dic19C2411yescharacteristic
299C2×Dic19C2411yescharacteristic
300D76—22no—
301D76—22no—
302D76—22no—
303D76—42no—
304D76—42no—
305D76—42no—
306C4×D19—22no—
307C4×D19—22no—
308C4×D19—22no—
309C4×D19—22no—
310C4×D19—42no—
311C4×D19—42no—
312C4×D19—42no—
313Dic38—22no—
314#3543—191nomaximal, Sylow
315C22×C19—22no—
316C22×C19—22no—
317C22×C19—22no—
318C22×C19—21no—
319C22×C19—21no—
320C22×C19—22no—
321C22×C19—22no—
322C22×C19—22no—
323C22×C19—22no—
324C22×C19—22no—
325C22×C19—22no—
326C22×C19—21no—
327C22×C19—84no—
328C22×C19C2511yescharacteristic
329C2×D19—21no—
330C2×D19—21no—
331C2×D19—21no—
332C2×D19—22no—
333C2×D19—22no—
334C2×D19—22no—
335C2×D19—21no—
336C2×D19—22no—
337C2×D19—22no—
338C2×D19—22no—
339C2×D19—21no—
340C2×D19—84no—
341C2×D19—84no—
342C2×D19—84no—
343C2×D19H(5,𝔽2)12yes—
344C4×C19—21no—
345C4×C19—21no—
346C4×C19—21no—
347C4×C19—21no—
348C4×C19—22no—
349C4×C19—21no—
350C4×C19H(5,𝔽2)12yes—
351Dic19—21no—
352Dic19—21no—
353Dic19—21no—
354Dic19—21no—
355Dic19—22no—
356Dic19—22no—
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—191no—
366#546—192no—
367D42—191no—
368D42—191no—
369D42—191no—
370D42—192no—
371#540—191no—
372#540—192no—
373#540—191no—
374#535—191no—
375#535—192no—
376#535D1911yescharacteristic, complemented
377#534—192no—
378#534—192no—
379C2×#127—191no—
380#529—191no—
381#529—191no—
382C2×C19—42no—
383C2×C19—42no—
384C2×C19—42no—
385C2×C19—41no—
386C2×C19C2×H(5,𝔽2)11yescharacteristic
387C2×C19C2×H(5,𝔽2)11yescharacteristic
388C2×C19C2×H(5,𝔽2)11yescharacteristic
389D19—22no—
390D19—42no—
391D19—41no—
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—191no—
401C22×D4—191no—
402C22×D4—192no—
403C22×D4—191no—
404C22×D4C2×D1911yescharacteristic, complemented
405#127—191no—
406#127—192no—
407#127—191no—
408#127—192no—
409#127—192no—
410#127—191no—
411#127—191no—
412#127C2×D1911yescharacteristic, complemented
413#127C2×D1911yescharacteristic, complemented
414#126—191no—
415#126—192no—
416#126—191no—
417#125—191no—
418#125—191no—
419#124—191no—
420#124—191no—
421#124—192no—
422#124C2×D1911yescharacteristic, complemented
423#124C2×D1911yescharacteristic, complemented
424#123—192no—
425#123—192no—
426#123—192no—
427#123—191no—
428#123—192no—
429#123—192no—
430#123—192no—
431#123—191no—
432#123—192no—
433#123—192no—
434#123—192no—
435C22⋊Q8—191no—
436C22⋊Q8—191no—
437#121—191no—
438#121—192no—
439#121—192no—
440#121—191no—
441#121—191no—
442#121—192no—
443#121—192no—
444#121—192no—
445#121—192no—
446#121—192no—
447#121—192no—
448#121—192no—
449#121—192no—
450#121—192no—
451#121—191no—
452#121—191no—
453#121—191no—
454#121—192no—
455#121—192no—
456#121—192no—
457#121—192no—
458#121—192no—
459#121C2×D1912yescomplemented
460#121C2×D1912yescomplemented
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#120C2×D1912yescomplemented
472#120C2×D1912yescomplemented
473C4×Q8—191no—
474C4×Q8—191no—
475C4×D4—191no—
476C4×D4—191no—
477C4×D4—191no—
478C4×D4—191no—
479C4×D4—191no—
480C4×D4—192no—
481C4×D4—192no—
482C4×D4—192no—
483C4×D4—191no—
484C4×D4—191no—
485C4×D4—191no—
486#117—192no—
487#117—191no—
488#117C2×D1911yescharacteristic, complemented
489C2×C22⋊C4—192no—
490C2×C22⋊C4—192no—
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—192no—
506C2×D4—191no—
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—762no—
526C2×D4—762no—
527C2×D4—762no—
528C2×D4—764no—
529C2×D4—764no—
530C2×D4—764no—
531C2×D4—764no—
532C2×D4—764no—
533C2×D4C22×D1911yescharacteristic
534C2×D4C22×D1911yescharacteristic
535C2×D4C22×D1911yescharacteristic
536C2×D4C22×D1912yes—
537C2×D4C22×D1912yes—
538C2×D4C22×D1912yes—
539C2×D4C22×D1912yes—
540C2×D4C22×D1912yes—
541C2×D4C22×D1912yes—
542C22×C4—192no—
543C22×C4—192no—
544C22×C4—192no—
545C22×C4—191no—
546C22×C4—191no—
547C22×C4—191no—
548C22×C4—191no—
549C22×C4—192no—
550C22×C4—192no—
551C22×C4—192no—
552C22×C4C22×D1911yescharacteristic
553C22×C4C22×D1912yes—
554C4⋊C4—192no—
555C4⋊C4—191no—
556C4⋊C4—191no—
557C4⋊C4—192no—
558C4⋊C4—191no—
559C4⋊C4—191no—
560C4⋊C4—191no—
561C4⋊C4—192no—
562C4⋊C4—191no—
563C4⋊C4—191no—
564C4⋊C4—191no—
565C4⋊C4—191no—
566C4⋊C4—192no—
567C4⋊C4—191no—
568C4⋊C4C22×D1911yescharacteristic
569C4⋊C4C22×D1911yescharacteristic
570C22⋊C4—192no—
571C22⋊C4—192no—
572C22⋊C4—192no—
573C22⋊C4—191no—
574C22⋊C4—191no—
575C22⋊C4—192no—
576C22⋊C4—192no—
577C22⋊C4—192no—
578C22⋊C4—191no—
579C22⋊C4—192no—
580C22⋊C4—191no—
581C22⋊C4—192no—
582C22⋊C4—192no—
583C22⋊C4—191no—
584C22⋊C4—191no—
585C22⋊C4—191no—
586C22⋊C4—191no—
587C22⋊C4—192no—
588C22⋊C4—192no—
589C22⋊C4—192no—
590C22⋊C4—192no—
591C22⋊C4C22×D1912yes—
592C22⋊C4C22×D1912yes—
593C22⋊C4C22×D1911yescharacteristic
594C22⋊C4C22×D1911yescharacteristic
595C22⋊C4C22×D1912yes—
596C22⋊C4C22×D1912yes—
597C42—191no—
598C42—191no—
599C42—191no—
600C42—192no—
601C42—191no—
602C42C22×D1911yescharacteristic
603C42C22×D1911yescharacteristic
604C23—42no—
605C23—42no—
606C23—42no—
607C23—191no—
608C23—192no—
609C23—191no—
610C23—192no—
611C23—384no—
612C23—384no—
613C23—762no—
614C23—762no—
615C23—762no—
616C23—762no—
617C23—762no—
618C23—762no—
619C23—762no—
620C23C23×D1912yes—
621C23C23×D1912yes—
622C23C23×D1911yescharacteristic
623C23C23×D1912yes—
624Q8—22no—
625Q8—382no—
626D4—22no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—382no—
636D4—384no—
637D4—382no—
638D4—384no—
639D4—384no—
640D4—382no—
641D4—382no—
642D4—382no—
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—42no—
659C2×C4—191no—
660C2×C4—191no—
661C2×C4—191no—
662C2×C4—191no—
663C2×C4—192no—
664C2×C4—191no—
665C2×C4—192no—
666C2×C4—191no—
667C2×C4—382no—
668C2×C4—382no—
669C2×C4—384no—
670C2×C4—382no—
671C2×C4—382no—
672C2×C4—762no—
673C2×C4—762no—
674C2×C4—762no—
675C2×C4—762no—
676C2×C4—762no—
677C2×C4C23×D1911yescharacteristic
678C2×C4C23×D1911yescharacteristic
679C2×C4C23×D1912yes—
680C2×C4C23×D1911yescharacteristic
681C2×C4C23×D1911yescharacteristic
682C2×C4C23×D1911yescharacteristic
683C2×C4C23×D1911yescharacteristic
684C22—22no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—84no—
697C22—192no—
698C22—381no—
699C22—381no—
700C22—382no—
701C22—382no—
702C22—382no—
703C22—381no—
704C22—381no—
705C22—382no—
706C22—381no—
707C22—382no—
708C22—382no—
709C22—1524no—
710C22—1524no—
711C22—1524no—
712C22C24×D1911yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—21no—
718C4—22no—
719C4—192no—
720C4—382no—
721C4—381no—
722C4—382no—
723C4—381no—
724C4—381no—
725C4—381no—
726C4—381no—
727C4#1059743012yes—
728C2—41no—
729C2—42no—
730C2—42no—
731C2—42no—
732C2—382no—
733C2—762no—
734C2—761no—
735C2—762no—
736C2H(5,𝔽2)×D1911yescharacteristic
737C2H(5,𝔽2)×D1911yescharacteristic
738C2C2×#1059743011yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#535C2
hypercenter#535D19
hypocenterC19#3543
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #535

Complements

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

NH ≅ G/Ntype
1. #11927283C2semidirect
2. #11927282C2semidirect
3. #11927276C2semidirect
4. #11927214C2semidirect
5. #11927213C2semidirect
6. #11927187C2semidirect
7. #11927183C2semidirect
8. #11927182C2semidirect
9. #11927179C2semidirect
10. D4×C22⋊D19C2semidirect
11. D4×C22⋊D19C2semidirect
12. #11927176C2semidirect
13. #11927149C2semidirect
14. #11927148C2semidirect
15. #11927144C2semidirect
16. #11927112C2semidirect
17. #11927109C2semidirect
18. #11927104C2semidirect
19. #11927102C2semidirect
20. #127×D19C2semidirect
21. #11927073C2semidirect
22. #11927072C2semidirect
23. C19×#535C2semidirect
24. C2×#41×C19C22semidirect
25. C22×D4×C19C22semidirect
26. C22×C22⋊D19C22semidirect
27. C22×C22⋊D19C22semidirect
28. C2×#64545C22semidirect
29. C2×#64543C22semidirect
30. C2×D4×D19C22semidirect
31. C2×D4×D19C22semidirect
32. C2×D4×D19C22semidirect
33. C2×D4×D19C22semidirect
34. C2×D4×D19C22semidirect
35. C2×D4×D19C22semidirect
36. C19×#127C22semidirect
37. C19×#127C22semidirect
38. C19×#124C22semidirect
39. C19×#124C22semidirect
40. C19×#121C22semidirect
41. C19×#121C22semidirect
42. C19×#120C22semidirect
43. C19×#120C22semidirect
44. C19×#117C22semidirect
45. #10597399C22semidirect
46. #10597399C22semidirect
47. #10597393C22semidirect
48. #10597392C22semidirect
49. Q8×Dic19C22semidirect
51. #10597386C22semidirect
52. #10597386C22semidirect
53. #10597386C22semidirect
54. #10597386C22semidirect
55. #10597386C22semidirect
56. #10597385C22semidirect
57. #10597385C22semidirect
58. #10597385C22semidirect
59. #10597385C22semidirect
60. #10597385C22semidirect
61. #10597385C22semidirect
62. #10597385C22semidirect
64. #10597384C22semidirect
65. #10597384C22semidirect
66. #10597384C22semidirect
67. #10597384C22semidirect
68. #10597384C22semidirect
69. #10597383C22semidirect
70. #10597383C22semidirect
71. #10597383C22semidirect
72. #10597383C22semidirect
73. #10597383C22semidirect
74. #10597381C22semidirect
75. #10597381C22semidirect
76. D4×Dic19C22semidirect
77. D4×Dic19C22semidirect
78. D4×Dic19C22semidirect
79. #10597376C22semidirect
80. #10597376C22semidirect
81. #10597376C22semidirect
82. #10597375C22semidirect
83. C4×C22⋊D19C22semidirect
84. C4×C22⋊D19C22semidirect
85. C4×C22⋊D19C22semidirect
86. C2×(C2×D19)⋊C4C22semidirect
87. #10597344C22semidirect
88. #10597342C22semidirect
89. #10597340C22semidirect
90. #10597340C22semidirect
91. #10597340C22semidirect
92. #10597335C22semidirect
93. #10597332C22semidirect
94. #10597331C22semidirect
95. #10597331C22semidirect
97. #10597330C22semidirect
98. #10597330C22semidirect
99. #10597330C22semidirect
100. #10597330C22semidirect
101. #10597330C22semidirect
102. #10597329C22semidirect
103. #10597329C22semidirect
104. #10597329C22semidirect
105. #10597329C22semidirect
106. #10597328C22semidirect
107. #10597328C22semidirect
108. #10597328C22semidirect
109. (C22⋊D19)⋊C4C22semidirect
110. (C22⋊D19)⋊C4C22semidirect
111. C22⋊C4×D19C22semidirect
112. #10597325C22semidirect
113. #10597325C22semidirect
114. #10597323C22semidirect
115. #10597320C22semidirect
116. C4×D76C22semidirect
117. C4×D76C22semidirect
118. C4×D76C22semidirect
119. #10597318C22semidirect
120. C42×D19C22semidirect
121. #10597316C22semidirect
122. C4×Dic38C22semidirect
376. #535D19semidirect
395. C2×#41C2×D19semidirect
404. C22×D4C2×D19semidirect
412. #127C2×D19semidirect
413. #127C2×D19semidirect
422. #124C2×D19semidirect
423. #124C2×D19semidirect
459. #121C2×D19semidirect
460. #121C2×D19semidirect
471. #120C2×D19semidirect
472. #120C2×D19semidirect
488. #117C2×D19semidirect
492. C19#3543semidirect

Maximal subgroups

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

subgroupindex
#119272832
#119272822
#119272762
#119272142
#119272132
#119271872
#119271832
#119271822
#119271792
D4×C22⋊D192
#119271762
#119271492
#119271482
#119271442
#119271122
#119271092
#119271042
#119271022
#127×D192
#119270732
#119270722
C19×#5352
#354319