Finite Group Databasebeta

← #14577964

Subgroups — #14577964

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#11927277C211yesmaximal, characteristic, complemented
4#11927215C211yesmaximal, characteristic, complemented
5#11927212C211yesmaximal, characteristic, complemented
6#11927191C211yesmaximal, characteristic, complemented
7#11927189C211yesmaximal, characteristic, complemented
8#11927186C212yesmaximal, complemented
9D4×D76C211yesmaximal, characteristic, complemented
10#11927178C211yesmaximal, characteristic, complemented
11#11927178C212yesmaximal, complemented
12#11927178C211yesmaximal, characteristic, complemented
13#11927150C211yesmaximal, characteristic, complemented
14#11927146C212yesmaximal, complemented
15#11927113C211yesmaximal, characteristic, complemented
16#11927110C212yesmaximal, complemented
17#11927107C211yesmaximal, characteristic, complemented
18#11927105C212yesmaximal, complemented
19#11927102C212yesmaximal, complemented
20#127×D19C211yesmaximal, characteristic, complemented
21#11927079C211yesmaximal, characteristic, complemented
22#11927072C211yesmaximal, characteristic, complemented
23C19×#540C211yesmaximal, characteristic, complemented
24C2×#64543C2211yescharacteristic, complemented
25C2×D4×D19C2212yescomplemented
26C2×D4×D19C2212yescomplemented
27C2×D4×D19C2211yescharacteristic, complemented
28C2×D4×D19C2211yescharacteristic, complemented
29C2×D4×D19C2212yescomplemented
30C2×D4×D19C2211yescharacteristic, complemented
31C2×D4×D19C2212yescomplemented
32C2×#64541C2212yescomplemented
33C2×#64541C2211yescharacteristic, complemented
34C22×D76C2212yescomplemented
35C22×D76C2211yescharacteristic, complemented
36C19×#127C2211yescharacteristic, complemented
37C19×#125C2211yescharacteristic, complemented
38C19×#123C2212yescomplemented
39C19×#123C2212yescomplemented
40C19×#121C2212yescomplemented
41C19×#121C2211yescharacteristic, complemented
42C19×#121C2211yescharacteristic, complemented
43C19×#121C2212yescomplemented
44C4×D4×C19C2211yescharacteristic, complemented
45C4×D4×C19C2211yescharacteristic, complemented
46C19×#117C2211yescharacteristic, complemented
47#10597386C2211yescharacteristic
48#10597386C2212yescomplemented
49#10597386C2211yescharacteristic, complemented
50#10597386C2212yescomplemented
51#10597386C2211yescharacteristic, complemented
52#10597386C2212yescomplemented
53#10597385C2212yescomplemented
54#10597385C2212yescomplemented
55#10597385C2212yescomplemented
56#10597384C2212yescomplemented
57#10597383C2212yescomplemented
58#10597383C2212yescomplemented
59#10597383C2212yescomplemented
60#10597383C2212yescomplemented
61#10597383C2212yescomplemented
62#10597382C2211yescharacteristic, complemented
63#10597376C2212yescomplemented
64#10597376C2212yescomplemented
65#10597376C2212yescomplemented
66#10597375C2212yescomplemented
67C4×C22⋊D19C2211yescharacteristic, complemented
68C4×C22⋊D19C2211yescharacteristic, complemented
69C4×C22⋊D19C2212yescomplemented
70C2×(C2×D19)⋊C4C2212yescomplemented
71#10597344C2211yescharacteristic, complemented
72#10597344C2212yescomplemented
73#10597343C2211yescharacteristic, complemented
74#10597342C2211yescharacteristic, complemented
75#10597341C2211yescharacteristic
76#10597341C2212yescomplemented
77#10597341C2212yescomplemented
78#10597341C2212yescomplemented
79#10597341C2211yescharacteristic, complemented
80#10597341C2212yescomplemented
81#10597341C2211yescharacteristic, complemented
82#10597340C2211yescharacteristic, complemented
83#10597340C2212yescomplemented
84#10597340C2212yescomplemented
85#10597340C2212yescomplemented
86#10597339C2212yescomplemented
87#10597339C2211yescharacteristic, complemented
88#10597339C2211yescharacteristic, complemented
89#10597339C2211yescharacteristic, complemented
90#10597338C2212yescomplemented
91#10597335C2211yescharacteristic, complemented
92#10597333C2211yescharacteristic, 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#10597328C2212yescomplemented
106#10597328C2212yescomplemented
107#10597328C2212yescomplemented
108#10597328C2212yescomplemented
109#10597328C2212yescomplemented
110#10597328C2212yescomplemented
111#10597328C2212yescomplemented
112(C22⋊D19)⋊C4C2212yescomplemented
113C22⋊C4×D19C2212yescomplemented
114#10597325C2211yescharacteristic, complemented
115#10597321C2211yescharacteristic, complemented
116#10597321C2211yescharacteristic, complemented
117#10597320C2211yescharacteristic, complemented
118#10597320C2211yescharacteristic, complemented
119C4×D76C2211yescharacteristic, complemented
120#10597318C2211yescharacteristic, complemented
121C42×D19C2211yescharacteristic, complemented
122C4×Dic38C2211yescharacteristic, complemented
123C23×D19C2312yes—
124C23×D19C2312yes—
125C23×D19C2312yes—
126C23×D19C2312yes—
127C2×D4×C19C2311yescharacteristic
128C2×D4×C19C2311yescharacteristic
129C2×D4×C19C2312yes—
130C2×D4×C19C2312yes—
131C2×D4×C19C2312yes—
132C2×D4×C19C2312yes—
133C22×C4×C19C2311yescharacteristic
134C22×C4×C19C2312yes—
135C22×C4×C19C2312yes—
136C2×C22⋊D19C2311yescharacteristic
137C2×C22⋊D19C2312yes—
138C2×C22⋊D19C2312yes—
139C2×C22⋊D19C2311yescharacteristic
140C2×C22⋊D19C2312yes—
141C2×C22⋊D19C2312yes—
142C2×C22⋊D19C2312yes—
143C2×C22⋊D19C2312yes—
144C2×C22⋊D19C2312yes—
145C2×C22⋊D19C2312yes—
146C2×C22⋊D19C2312yes—
147C2×C22⋊D19C2312yes—
148C2×C22⋊D19C2312yes—
149C22×Dic19C2312yes—
150#64543—42no—
151D4×D19—42no—
152D4×D19—42no—
153D4×D19—42no—
154D4×D19—44no—
155D4×D19—44no—
156D4×D19—44no—
157D4×D19—44no—
158#64541—44no—
159#64541—42no—
160C2×D76—42no—
161C2×D76—44no—
162C2×D76C2311yescharacteristic
163C2×D76C2311yescharacteristic
164C2×D76C2311yescharacteristic
165C2×D76C2311yescharacteristic
166C2×D76C2312yes—
167C2×D76C2312yes—
168C2×D76C2312yes—
169C2×D76C2312yes—
170C2×D76C2312yes—
171C2×D76C2312yes—
172C2×D76C2312yes—
173C2×D76C2312yes—
174C2×C4×D19C2312yes—
175C2×C4×D19C2311yescharacteristic
176C2×C4×D19C2311yescharacteristic
177C2×C4×D19C2311yescharacteristic
178C2×C4×D19C2311yescharacteristic
179C2×C4×D19C2312yes—
180C2×C4×D19C2312yes—
181C2×C4×D19C2312yes—
182C2×Dic38C2311yescharacteristic
183C2×Dic38C2311yescharacteristic
184C4⋊C4×C19C2311yescharacteristic
185C4⋊C4×C19C2311yescharacteristic
186C4⋊C4×C19C2311yescharacteristic
187C4⋊C4×C19C2311yescharacteristic
188C4⋊C4×C19C2312yes—
189C4⋊C4×C19C2312yes—
190C22⋊C4×C19C2311yescharacteristic
191C22⋊C4×C19C2311yescharacteristic
192C22⋊C4×C19C2312yes—
193C22⋊C4×C19C2312yes—
194C22⋊C4×C19C2312yes—
195C22⋊C4×C19C2312yes—
196C42×C19C2311yescharacteristic
197C42×C19C2311yescharacteristic
198C22⋊Dic19C2312yes—
199C22⋊Dic19C2312yes—
200C22⋊Dic19C2311yescharacteristic
201C22⋊Dic19C2311yescharacteristic
202(C2×D19)⋊C4C2311yescharacteristic
203(C2×D19)⋊C4C2312yes—
204(C2×D19)⋊C4C2312yes—
205(C2×D19)⋊C4C2312yes—
206(C2×D19)⋊C4C2312yes—
207(C2×D19)⋊C4C2312yes—
208(C2×D19)⋊C4C2311yescharacteristic
209(C2×D19)⋊C4C2311yescharacteristic
210(C2×D19)⋊C4C2312yes—
211(C2×D19)⋊C4C2312yes—
212(C2×D19)⋊C4C2312yes—
213(C2×D19)⋊C4C2312yes—
214(C2×D19)⋊C4C2312yes—
215(C2×D19)⋊C4C2311yescharacteristic
216(C2×D19)⋊C4C2312yes—
217(C2×D19)⋊C4C2311yescharacteristic
218(C2×D19)⋊C4C2311yescharacteristic
219C4⋊Dic19C2311yescharacteristic
220C4⋊Dic19C2311yescharacteristic
221C4⋊Dic19C2312yes—
222Dic19⋊C4C2311yescharacteristic
223Dic19⋊C4C2311yescharacteristic
224Dic19⋊C4C2312yes—
225Dic19⋊C4C2311yescharacteristic
226Dic19⋊C4C2311yescharacteristic
227Dic19⋊C4C2311yescharacteristic
228Dic19⋊C4C2311yescharacteristic
229C4×Dic19C2311yescharacteristic
230C4×Dic19C2311yescharacteristic
231C4×Dic19C2311yescharacteristic
232C4×Dic19C2311yescharacteristic
233C4×Dic19C2312yes—
234C23×C19C2411yescharacteristic
235C23×C19C2412yes—
236C23×C19C2412yes—
237C22×D19—24no—
238C22×D19—24no—
239C22×D19—42no—
240C22×D19—42no—
241C22×D19—42no—
242C22×D19—42no—
243C22×D19—42no—
244C22×D19—42no—
245C22×D19—42no—
246C22×D19—42no—
247C22×D19—42no—
248C22×D19—42no—
249C22×D19C2412yes—
250C22×D19C2411yescharacteristic
251C22×D19C2412yes—
252C22×D19C2412yes—
253C22×D19C2411yescharacteristic
254D4×C19—22no—
255D4×C19—22no—
256D4×C19—42no—
257D4×C19—42no—
258D4×C19—42no—
259D4×C19—42no—
260C2×C4×C19—22no—
261C2×C4×C19—42no—
262C2×C4×C19—42no—
263C2×C4×C19C2411yescharacteristic
264C2×C4×C19C2411yescharacteristic
265C2×C4×C19C2412yes—
266C2×C4×C19C2411yescharacteristic
267C2×C4×C19C2411yescharacteristic
268C2×C4×C19C2411yescharacteristic
269C2×C4×C19C2412yes—
270C2×C4×C19C2411yescharacteristic
271C22⋊D19—22no—
272C22⋊D19—24no—
273C22⋊D19—24no—
274C22⋊D19—22no—
275C22⋊D19—42no—
276C22⋊D19—42no—
277C22⋊D19—42no—
278C22⋊D19—42no—
279C22⋊D19—42no—
280C22⋊D19—42no—
281C22⋊D19—42no—
282C22⋊D19—42no—
283C22⋊D19—42no—
284C2×Dic19—42no—
285C2×Dic19C2411yescharacteristic
286C2×Dic19C2411yescharacteristic
287C2×Dic19C2411yescharacteristic
288C2×Dic19C2411yescharacteristic
289C2×Dic19C2412yes—
290C2×Dic19C2411yescharacteristic
291C2×Dic19C2411yescharacteristic
292D76—22no—
293D76—24no—
294D76—22no—
295D76—22no—
296D76—22no—
297D76—42no—
298D76—42no—
299D76—42no—
300D76—42no—
301D76—42no—
302D76—42no—
303D76—42no—
304C4×D19—22no—
305C4×D19—22no—
306C4×D19—22no—
307C4×D19—24no—
308C4×D19—22no—
309C4×D19—42no—
310C4×D19—42no—
311C4×D19—42no—
312Dic38—22no—
313Dic38—22no—
314#3543—191nomaximal, Sylow
315C22×C19—22no—
316C22×C19—22no—
317C22×C19—21no—
318C22×C19—22no—
319C22×C19—21no—
320C22×C19—21no—
321C22×C19—22no—
322C22×C19—22no—
323C22×C19—22no—
324C22×C19C2511yescharacteristic
325C2×D19—21no—
326C2×D19—21no—
327C2×D19—22no—
328C2×D19—21no—
329C2×D19—22no—
330C2×D19—22no—
331C2×D19—22no—
332C2×D19—21no—
333C2×D19—22no—
334C2×D19—22no—
335C2×D19—22no—
336C2×D19—22no—
337C2×D19—21no—
338C2×D19—22no—
339C2×D19—84no—
340C2×D19—84no—
341C2×D19—84no—
342C2×D19—84no—
343C2×D19H(5,𝔽2)12yes—
344C4×C19—21no—
345C4×C19—22no—
346C4×C19—21no—
347C4×C19—21no—
348C4×C19—21no—
349C4×C19—22no—
350C4×C19—21no—
351C4×C19H(5,𝔽2)12yes—
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—192no—
365#546—191no—
366#546—191no—
367D42—191no—
368D42—191no—
369D42—192no—
370D42—191no—
371#540—191no—
372#540—192no—
373#540D1911yescharacteristic, complemented
374#535—191no—
375#535—192no—
376#535—191no—
377#534—192no—
378#534—192no—
379C2×#127—191no—
380#529—191no—
381#529—191no—
382C2×C19—42no—
383C2×C19—41no—
384C2×C19—42no—
385C2×C19C2×H(5,𝔽2)11yescharacteristic
386C2×C19C2×H(5,𝔽2)11yescharacteristic
387C2×C19C2×H(5,𝔽2)11yescharacteristic
388D19—22no—
389D19—42no—
390D19—42no—
391D19—41no—
392D19—42no—
393C2×#41—191no—
394C2×#41—192no—
395C2×#41—191no—
396C22×D4—192no—
397C22×D4—192no—
398C22×D4—191no—
399C22×D4—191no—
400C22×D4—192no—
401C22×D4—192no—
402C22×D4—191no—
403C22×D4—192no—
404C22×D4—191no—
405#127—191no—
406#127—192no—
407#127—191no—
408#127—192no—
409#127—192no—
410#127—191no—
411#127—191no—
412#127—191no—
413#127C2×D1911yescharacteristic, complemented
414#126—191no—
415#126—192no—
416#126—191no—
417#125—191no—
418#125C2×D1911yescharacteristic, complemented
419#124—191no—
420#124—191no—
421#124—192no—
422#124—191no—
423#124—191no—
424#123—192no—
425#123—192no—
426#123—191no—
427#123—192no—
428#123—192no—
429#123—191no—
430#123—192no—
431#123—192no—
432#123—192no—
433#123C2×D1912yescomplemented
434#123C2×D1912yescomplemented
435C22⋊Q8—191no—
436C22⋊Q8—191no—
437#121—192no—
438#121—192no—
439#121—192no—
440#121—192no—
441#121—192no—
442#121—192no—
443#121—192no—
444#121—191no—
445#121—192no—
446#121—192no—
447#121—192no—
448#121—191no—
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#121C2×D1912yescomplemented
458#121C2×D1911yescharacteristic, complemented
459#121C2×D1911yescharacteristic, complemented
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#120—192no—
472#120—192no—
473C4×Q8—191no—
474C4×Q8—191no—
475C4×D4—191no—
476C4×D4—191no—
477C4×D4—192no—
478C4×D4—192no—
479C4×D4—191no—
480C4×D4—191no—
481C4×D4—191no—
482C4×D4—192no—
483C4×D4—191no—
484C4×D4C2×D1911yescharacteristic, complemented
485C4×D4C2×D1911yescharacteristic, complemented
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—
496C24—192no—
497#41—762no—
498#41—764no—
499#41—762no—
500C2×Q8—191no—
501C2×Q8—191no—
502C2×D4—191no—
503C2×D4—192no—
504C2×D4—191no—
505C2×D4—192no—
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—191no—
517C2×D4—191no—
518C2×D4—191no—
519C2×D4—191no—
520C2×D4—192no—
521C2×D4—192no—
522C2×D4—192no—
523C2×D4—192no—
524C2×D4—192no—
525C2×D4—192no—
526C2×D4—192no—
527C2×D4—762no—
528C2×D4—764no—
529C2×D4—762no—
530C2×D4—762no—
531C2×D4—762no—
532C2×D4—764no—
533C2×D4—764no—
534C2×D4—764no—
535C2×D4—764no—
536C2×D4C22×D1911yescharacteristic
537C2×D4C22×D1911yescharacteristic
538C2×D4C22×D1912yes—
539C2×D4C22×D1912yes—
540C2×D4C22×D1912yes—
541C2×D4C22×D1912yes—
542C22×C4—192no—
543C22×C4—191no—
544C22×C4—191no—
545C22×C4—191no—
546C22×C4—192no—
547C22×C4—191no—
548C22×C4—192no—
549C22×C4—192no—
550C22×C4—192no—
551C22×C4C22×D1911yescharacteristic
552C22×C4C22×D1912yes—
553C22×C4C22×D1912yes—
554C4⋊C4—191no—
555C4⋊C4—191no—
556C4⋊C4—191no—
557C4⋊C4—191no—
558C4⋊C4—191no—
559C4⋊C4—192no—
560C4⋊C4—191no—
561C4⋊C4—192no—
562C4⋊C4—191no—
563C4⋊C4—191no—
564C4⋊C4C22×D1912yes—
565C4⋊C4C22×D1911yescharacteristic
566C4⋊C4C22×D1911yescharacteristic
567C4⋊C4C22×D1911yescharacteristic
568C4⋊C4C22×D1911yescharacteristic
569C4⋊C4C22×D1912yes—
570C22⋊C4—192no—
571C22⋊C4—191no—
572C22⋊C4—191no—
573C22⋊C4—192no—
574C22⋊C4—192no—
575C22⋊C4—191no—
576C22⋊C4—191no—
577C22⋊C4—192no—
578C22⋊C4—192no—
579C22⋊C4—192no—
580C22⋊C4—191no—
581C22⋊C4—191no—
582C22⋊C4—192no—
583C22⋊C4—192no—
584C22⋊C4—191no—
585C22⋊C4—191no—
586C22⋊C4—192no—
587C22⋊C4—192no—
588C22⋊C4—192no—
589C22⋊C4—192no—
590C22⋊C4—192no—
591C22⋊C4C22×D1912yes—
592C22⋊C4C22×D1911yescharacteristic
593C22⋊C4C22×D1911yescharacteristic
594C22⋊C4C22×D1912yes—
595C22⋊C4C22×D1912yes—
596C22⋊C4C22×D1912yes—
597C42—191no—
598C42—191no—
599C42—191no—
600C42—192no—
601C42—191no—
602C42C22×D1911yescharacteristic
603C42C22×D1911yescharacteristic
604C23—191no—
605C23—192no—
606C23—192no—
607C23—191no—
608C23—192no—
609C23—384no—
610C23—384no—
611C23—762no—
612C23—762no—
613C23—762no—
614C23—762no—
615C23—762no—
616C23—762no—
617C23—762no—
618C23—762no—
619C23—762no—
620C23—762no—
621C23C23×D1912yes—
622C23C23×D1911yescharacteristic
623C23C23×D1912yes—
624Q8—382no—
625Q8—382no—
626D4—22no—
627D4—22no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—382no—
633D4—384no—
634D4—384no—
635D4—382no—
636D4—384no—
637D4—382no—
638D4—382no—
639D4—382no—
640D4—382no—
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—42no—
659C2×C4—42no—
660C2×C4—191no—
661C2×C4—191no—
662C2×C4—191no—
663C2×C4—191no—
664C2×C4—192no—
665C2×C4—191no—
666C2×C4—191no—
667C2×C4—382no—
668C2×C4—384no—
669C2×C4—382no—
670C2×C4—382no—
671C2×C4—382no—
672C2×C4—762no—
673C2×C4—762no—
674C2×C4—762no—
675C2×C4—762no—
676C2×C4C23×D1911yescharacteristic
677C2×C4C23×D1911yescharacteristic
678C2×C4C23×D1912yes—
679C2×C4C23×D1911yescharacteristic
680C2×C4C23×D1911yescharacteristic
681C2×C4C23×D1912yes—
682C2×C4C23×D1911yescharacteristic
683C2×C4C23×D1911yescharacteristic
684C22—22no—
685C22—22no—
686C22—22no—
687C22—21no—
688C22—21no—
689C22—22no—
690C22—21no—
691C22—22no—
692C22—22no—
693C22—192no—
694C22—381no—
695C22—381no—
696C22—382no—
697C22—382no—
698C22—382no—
699C22—382no—
700C22—381no—
701C22—381no—
702C22—382no—
703C22—382no—
704C22—381no—
705C22—382no—
706C22—382no—
707C22—382no—
708C22—1524no—
709C22—1524no—
710C22—1524no—
711C22—1524no—
712C22C24×D1911yescharacteristic
713C4—21no—
714C4—21no—
715C4—22no—
716C4—22no—
717C4—21no—
718C4—21no—
719C4—21no—
720C4—192no—
721C4—381no—
722C4—381no—
723C4—381no—
724C4—381no—
725C4—381no—
726C4—382no—
727C4#1059743512yes—
728C2—42no—
729C2—41no—
730C2—42no—
731C2—382no—
732C2—762no—
733C2—762no—
734C2—761no—
735C2—762no—
736C2H(5,𝔽2)×D1911yescharacteristic
737C2H(5,𝔽2)×D1911yescharacteristic
738C2C2×#1059743511yescharacteristic
subgroupG/H
center, FrattiniC22C24×D19
commutator, socle, cosocleC22×C19C25
FittingC19×#540C2
hypercenter#540D19
hypocenterC19#3543
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C22 ◁ #540

Complements

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

NH ≅ G/Ntype
1. #11927284C2semidirect
2. #11927282C2semidirect
3. #11927277C2semidirect
4. #11927215C2semidirect
5. #11927212C2semidirect
6. #11927191C2semidirect
7. #11927189C2semidirect
8. #11927186C2semidirect
9. D4×D76C2semidirect
10. #11927178C2semidirect
11. #11927178C2semidirect
12. #11927178C2semidirect
13. #11927150C2semidirect
14. #11927146C2semidirect
15. #11927113C2semidirect
16. #11927110C2semidirect
17. #11927107C2semidirect
18. #11927105C2semidirect
19. #11927102C2semidirect
20. #127×D19C2semidirect
21. #11927079C2semidirect
22. #11927072C2semidirect
23. C19×#540C2semidirect
24. C2×#64543C22semidirect
25. C2×D4×D19C22semidirect
26. C2×D4×D19C22semidirect
27. C2×D4×D19C22semidirect
28. C2×D4×D19C22semidirect
29. C2×D4×D19C22semidirect
30. C2×D4×D19C22semidirect
31. C2×D4×D19C22semidirect
32. C2×#64541C22semidirect
33. C2×#64541C22semidirect
34. C22×D76C22semidirect
35. C22×D76C22semidirect
36. C19×#127C22semidirect
37. C19×#125C22semidirect
38. C19×#123C22semidirect
39. C19×#123C22semidirect
40. C19×#121C22semidirect
41. C19×#121C22semidirect
42. C19×#121C22semidirect
43. C19×#121C22semidirect
44. C4×D4×C19C22semidirect
45. C4×D4×C19C22semidirect
46. C19×#117C22semidirect
48. #10597386C22semidirect
49. #10597386C22semidirect
50. #10597386C22semidirect
51. #10597386C22semidirect
52. #10597386C22semidirect
53. #10597385C22semidirect
54. #10597385C22semidirect
55. #10597385C22semidirect
56. #10597384C22semidirect
57. #10597383C22semidirect
58. #10597383C22semidirect
59. #10597383C22semidirect
60. #10597383C22semidirect
61. #10597383C22semidirect
62. #10597382C22semidirect
63. #10597376C22semidirect
64. #10597376C22semidirect
65. #10597376C22semidirect
66. #10597375C22semidirect
67. C4×C22⋊D19C22semidirect
68. C4×C22⋊D19C22semidirect
69. C4×C22⋊D19C22semidirect
70. C2×(C2×D19)⋊C4C22semidirect
71. #10597344C22semidirect
72. #10597344C22semidirect
73. #10597343C22semidirect
74. #10597342C22semidirect
76. #10597341C22semidirect
77. #10597341C22semidirect
78. #10597341C22semidirect
79. #10597341C22semidirect
80. #10597341C22semidirect
81. #10597341C22semidirect
82. #10597340C22semidirect
83. #10597340C22semidirect
84. #10597340C22semidirect
85. #10597340C22semidirect
86. #10597339C22semidirect
87. #10597339C22semidirect
88. #10597339C22semidirect
89. #10597339C22semidirect
90. #10597338C22semidirect
91. #10597335C22semidirect
92. #10597333C22semidirect
93. #10597332C22semidirect
94. #10597331C22semidirect
95. #10597331C22semidirect
97. #10597330C22semidirect
98. #10597330C22semidirect
99. #10597330C22semidirect
100. #10597330C22semidirect
101. #10597330C22semidirect
102. #10597329C22semidirect
103. #10597329C22semidirect
104. #10597329C22semidirect
105. #10597328C22semidirect
106. #10597328C22semidirect
107. #10597328C22semidirect
108. #10597328C22semidirect
109. #10597328C22semidirect
110. #10597328C22semidirect
111. #10597328C22semidirect
112. (C22⋊D19)⋊C4C22semidirect
113. C22⋊C4×D19C22semidirect
114. #10597325C22semidirect
115. #10597321C22semidirect
116. #10597321C22semidirect
117. #10597320C22semidirect
118. #10597320C22semidirect
119. C4×D76C22semidirect
120. #10597318C22semidirect
121. C42×D19C22semidirect
122. C4×Dic38C22semidirect
373. #540D19semidirect
413. #127C2×D19semidirect
418. #125C2×D19semidirect
433. #123C2×D19semidirect
434. #123C2×D19semidirect
457. #121C2×D19semidirect
458. #121C2×D19semidirect
459. #121C2×D19semidirect
460. #121C2×D19semidirect
484. C4×D4C2×D19semidirect
485. C4×D4C2×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
#119272842
#119272822
#119272772
#119272152
#119272122
#119271912
#119271892
#119271862
D4×D762
#119271782
#119271502
#119271462
#119271132
#119271102
#119271072
#119271052
#119271022
#127×D192
#119270792
#119270722
C19×#5402
#354319