Finite Group Databasebeta

← #25117474

Subgroups — #25117474

Order 11008.

1016 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19143946C211yesmaximal, characteristic
2#19143506C211yesmaximal, characteristic, complemented
3#19143501C211yesmaximal, characteristic, complemented
4#19143143C211yesmaximal, characteristic, complemented
5#19143139C211yesmaximal, characteristic, complemented
6#19135423C211yesmaximal, characteristic, complemented
7#19135265C211yesmaximal, characteristic, complemented
8#19135264C211yesmaximal, characteristic, complemented
9#19135096C211yesmaximal, characteristic, complemented
10#19135095C211yesmaximal, characteristic, complemented
11#19134977C211yesmaximal, characteristic, complemented
12#19134837C211yesmaximal, characteristic, complemented
13#19134836C211yesmaximal, characteristic, complemented
14C4×#13063253C211yesmaximal, characteristic, complemented
15C4×#104×C43C211yesmaximal, characteristic, complemented
16#14583735C2211yescharacteristic
17#14583699C2211yescharacteristic
18#14583697C2211yescharacteristic
19#14583666C2211yescharacteristic
20#14583665C2211yescharacteristic
21#14583665C2211yescharacteristic, complemented
22#14583449C2211yescharacteristic
23C4×#10621898C2211yescharacteristic
24#14583083C412yescomplemented
25#14583078C412yescomplemented
26#14583073C412yescomplemented
27#14583068C412yescomplemented
28#14583022—22no—
29#14583018—22no—
30#14583017—22no—
31#14583013—22no—
32#14582948C2211yescharacteristic, complemented
33#14582947C2211yescharacteristic, complemented
34#14582923C2211yescharacteristic, complemented
35#14582917—22no—
36#14582917C2211yescharacteristic
37#14582917C2211yescharacteristic
38#14582916C2211yescharacteristic
39#14582915C2211yescharacteristic
40#14582914—22no—
41C2×#13063253—22no—
42C2×#13063253C2211yescharacteristic
43C2×#13063253C2211yescharacteristic
44C2×#13063253C2211yescharacteristic
45C2×#13063253C2211yescharacteristic
46C2×#13063253C2211yescharacteristic, complemented
47C2×#13063253C2211yescharacteristic, complemented
48#104×D43—22no—
49#14582881C2211yescharacteristic
50#14582872C2211yescharacteristic, complemented
51C4×#10621877C2211yescharacteristic, complemented
52#14582671C2211yescharacteristic, complemented
53#14582669C2211yescharacteristic, complemented
54#14582659C2211yescharacteristic, complemented
55#14582659C2211yescharacteristic, complemented
56C4×#41×C43C2211yescharacteristic
57C2×#104×C43C2211yescharacteristic
58C2×#104×C43C2211yescharacteristic
59C4×M16×C43C2211yescharacteristic, complemented
60C43×C43C2211yescharacteristic, complemented
61C43×#339C2211yescharacteristic, complemented
62C43×#339C2211yescharacteristic, complemented
63#13063373—21no—
64#13063372—21no—
65#13063372C2×C412yes—
66#13063371—21no—
67#13063371C2×C412yes—
68#13063370—21no—
69#13063370—41no—
70C2×#10621898—22no—
71C2×#10621898C2311yescharacteristic
72C2×#10621898C2311yescharacteristic
73C2×#10621898C2311yescharacteristic
74#41×D43—22no—
75#41×D43—41no—
76#13063358—21no—
77#13063358C2×C412yescomplemented
78#13063356—21no—
79#13063355C2×C412yescomplemented
80#13063353—21no—
81#13063353C2×C412yescomplemented
82#13063351—21no—
83#13063350C2×C412yescomplemented
84#13063347—22no—
85#13063345—22no—
86#13063333—22no—
87#13063333—41no—
88#13063332—22no—
89#13063332—41no—
90#13063331—22no—
91#13063331—22no—
92C2×#10621877—22no—
93C2×#10621877C2311yescharacteristic
94C2×#10621877C2311yescharacteristic
95C2×#10621877C2311yescharacteristic
96C2×#10621877C2311yescharacteristic
97M16×D43—22no—
98M16×D43—41no—
99#13063325C2×C411yescharacteristic, complemented
100#13063322C2×C411yescharacteristic, complemented
101#13063313C2×C411yescharacteristic, complemented
102#13063313C2×C411yescharacteristic, complemented
103#13063299—41no—
104C4×Dic86—21no—
105C4×D172—21no—
106C4×D172—41no—
107C4×C22⋊D43—41no—
108#13063284C2311yescharacteristic
109#13063282—21no—
110C42×D43—21no—
111#13063261—22no—
112#13063260—22no—
113C4⋊(C43⋊C8)—41no—
114#13063253—22no—
115#13063253—21no—
116#13063253—21no—
117#13063253—21no—
118#13063253—21no—
119#13063253—21no—
120#13063253—21no—
121#13063253—21no—
122#13063253—21no—
123#13063253—22no—
124#13063253C2×C412yescomplemented
125#13063253C2×C412yescomplemented
126#13063253D412yescomplemented
127#13063253D412yescomplemented
128#13063252—22no—
129#13063251—22no—
130#13063243C2×C412yescomplemented
131#13063241C2×C412yescomplemented
132#13063239—41no—
133#13063236—21no—
134C4×C43⋊C8—21no—
135C2×#41×C43C2311yescharacteristic
136C2×M16×C43C2311yescharacteristic
137C2×M16×C43C2311yescharacteristic
138C4×Q8×C43—21no—
139C4×D4×C43—21no—
140C4×D4×C43—41no—
141#117×C43—21no—
142#117×C43C2311yescharacteristic
143C2×C42×C43—21no—
144C2×C42×C43—41no—
145C2×C42×C43C2311yescharacteristic
146C2×C42×C43C2311yescharacteristic
147C2×C42×C43C2311yescharacteristic
148#104×C43C2×C412yescomplemented
149#104×C43C2×C412yescomplemented
150#104×C43D412yescomplemented
151#104×C43D412yescomplemented
152#97×C43—21no—
153C4×C8×C43—21no—
154#41×C43—21no—
155#41×C43—21no—
156#41×C43C22×C412yes—
157#41×C43C2×D412yes—
158C2×Q8×C43#4111yescharacteristic
159C2×D4×C43—21no—
160C2×D4×C43#4111yescharacteristic
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—41no—
166C22×C4×C43C2411yescharacteristic
167C2×C22⋊D43—21no—
168C2×C22⋊D43—21no—
169C2×C22⋊D43—21no—
170C2×C22⋊D43—42no—
171#10621902—22no—
172#10621902—41no—
173Q8×D43—22no—
174Q8×D43—41no—
175#10621900—22no—
176#10621900—41no—
177#10621900—42no—
178#10621900—42no—
179D4×D43—22no—
180D4×D43—42no—
181D4×D43—42no—
182D4×D43—41no—
183#10621898—21no—
184#10621898—21no—
185#10621898—21no—
186#10621898—21no—
187#10621898—21no—
188#10621898—21no—
189#10621898—21no—
190#10621898—21no—
191#10621898—21no—
192#10621898—21no—
193#10621898—22no—
194#10621898—22no—
195#10621898—42no—
196#10621898—42no—
197#10621898C22×C412yes—
198#10621898C2×D412yes—
199C2×D172—22no—
200C2×D172—41no—
201C2×D172C22×C411yescharacteristic
202C2×D172C22×C411yescharacteristic
203C2×D172#4111yescharacteristic
204C2×C4×D43—21no—
205C2×C4×D43—21no—
206C2×C4×D43—21no—
207C2×C4×D43—41no—
208C2×C4×D43—42no—
209C2×Dic86—22no—
210C2×Dic86C22×C411yescharacteristic
211C2×Dic86C22×C411yescharacteristic
212C2×Dic86#4111yescharacteristic
213M16×C43—21no—
214M16×C43—21no—
215M16×C43C22×C412yes—
216M16×C43C2×D412yes—
217C2×C8×C43—21no—
218C2×C8×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—41no—
221C22⋊C4×C43—21no—
222C22⋊C4×C43—41no—
223C42×C43—21no—
224C42×C43—21no—
225C42×C43—21no—
226C42×C43—21no—
227C42×C43—41no—
228C42×C43—44no—
229C42×C43C22×C411yescharacteristic
230C42×C43C22×C411yescharacteristic
231C42×C43C2×D411yescharacteristic
232C42×C43C2×D411yescharacteristic
233C42×C43C2×D411yescharacteristic
234C42×C43C2×D411yescharacteristic
235C22⋊Dic43—21no—
236#10621885—22no—
237#10621884—22no—
238#10621883—22no—
239#10621882—22no—
240(C2×D43)⋊C4—41no—
241(C2×D43)⋊C4—41no—
242(C2×D43)⋊C4—41no—
243C4⋊Dic43—21no—
244C4⋊Dic43—41no—
245Dic43⋊C4—41no—
246C4×Dic43—21no—
247C4×Dic43—41no—
248#10621877—21no—
249#10621877—21no—
250#10621877—21no—
251#10621877—21no—
252#10621877—21no—
253#10621877—21no—
254#10621877—42no—
255#10621877C22×C412yes—
256#10621877C2×D412yes—
257C2×C43⋊C8—21no—
258C2×C43⋊C8—21no—
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—42no—
262Dic172—22no—
263D344—22no—
264#10621873—22no—
265#10621873—22no—
266#10621872—42no—
267#10621872—42no—
268C8×D43—42no—
269C8×D43—42no—
270C23×C43—21no—
271C23×C43H(5,𝔽2)11yescharacteristic
272C22×D43—21no—
273C22×D43—21no—
274C22×D43—21no—
275C22×D43—42no—
276Q8×C43—21no—
277Q8×C43C4×D412yes—
278D4×C43—22no—
279D4×C43—22no—
280D4×C43—21no—
281D4×C43C4×D412yes—
282C2×C4×C43—21no—
283C2×C4×C43—21no—
284C2×C4×C43—21no—
285C2×C4×C43—21no—
286C2×C4×C43—22no—
287C2×C4×C43—22no—
288C2×C4×C43—21no—
289C2×C4×C43—21no—
290C2×C4×C43—21no—
291C2×C4×C43—42no—
292C2×C4×C43—42no—
293C2×C4×C43—42no—
294C2×C4×C43—41no—
295C2×C4×C43—82no—
296C2×C4×C43C23×C411yescharacteristic
297C2×C4×C43C22×D411yescharacteristic
298C2×C4×C43C22×D411yescharacteristic
299C2×C4×C43C2×#4111yescharacteristic
300C2×C4×C43C2×#4111yescharacteristic
301C2×C4×C43H(5,𝔽2)11yescharacteristic
302C22⋊D43—22no—
303C22⋊D43—22no—
304C22⋊D43—42no—
305C22⋊D43—42no—
306C22⋊D43—41no—
307C22⋊D43—41no—
308C22⋊D43—41no—
309C22⋊D43—41no—
310C2×Dic43—21no—
311C2×Dic43—21no—
312C2×Dic43—21no—
313C2×Dic43—42no—
314C2×Dic43—41no—
315D172—21no—
316D172—21no—
317D172—21no—
318D172—21no—
319D172—21no—
320D172—42no—
321D172—82no—
322D172C4×D412yes—
323C4×D43—22no—
324C4×D43—22no—
325C4×D43—42no—
326C4×D43—42no—
327C4×D43—41no—
328C4×D43—41no—
329C4×D43—41no—
330C4×D43—41no—
331C4×D43—82no—
332Dic86—21no—
333Dic86—21no—
334Dic86—21no—
335Dic86—21no—
336Dic86—21no—
337Dic86—42no—
338Dic86C4×D412yes—
339C8×C43—22no—
340C8×C43—22no—
341C43⋊C8—22no—
342C43⋊C8—22no—
343C43⋊C8—41no—
344C43⋊C8—41no—
345#22899—431nomaximal, Sylow
346C22×C43—22no—
347C22×C43—41no—
348C22×C43—81no—
349C22×C43#51811yescharacteristic
350C22×C43#54611yescharacteristic
351C22×C43#54611yescharacteristic
352C2×D43—22no—
353C2×D43—41no—
354C2×D43—41no—
355C2×D43—81no—
356C2×D43—81no—
357C2×D43—81no—
358C2×D43—162no—
359C4×C43—22no—
360C4×C43—22no—
361C4×C43—22no—
362C4×C43—22no—
363C4×C43—41no—
364C4×C43—41no—
365C4×C43—41no—
366C4×C43—81no—
367C4×C43C2×C4×D411yescharacteristic
368C4×C43C2×C4×D411yescharacteristic
369C4×C43D4211yescharacteristic
370C4×C43#55111yescharacteristic
371Dic43—22no—
372Dic43—41no—
373Dic43—41no—
374Dic43—81no—
375#3018—431no—
376#2956—431no—
377#2956—431no—
378#2901—431no—
379#2901—431no—
380#1962—431no—
381#1932—431no—
382#1932—431no—
383#1906—431no—
384#1906—431no—
385#1884—431no—
386#1861—431no—
387#1861—431no—
388C4×#104—431no—
389C4×#104D4311yescharacteristic, complemented
390C2×C43—21no—
391C2×C43—21no—
392C2×C43—21no—
393C2×C43—42no—
394C2×C43#235811yescharacteristic
395D43—42no—
396D43—81no—
397D43—81no—
398#585—431no—
399#575—431no—
400#575—431no—
401#568—431no—
402#568—431no—
403#568—431no—
404#532—431no—
405C4×#41—431no—
406C4×#41C2×D4311yescharacteristic
407#456—432no—
408#455—432no—
409#454—432no—
410#453—432no—
411#444—862no—
412#444—862no—
413#443—862no—
414#443—862no—
415#430—431no—
416#430—431no—
417#423—431no—
418#421—431no—
419#421—431no—
420#421—431no—
421#421—431no—
422#421—862no—
423#421—862no—
424C2×#104—431no—
425C2×#104—431no—
426C2×#104—431no—
427C2×#104—431no—
428C2×#104—431no—
429C2×#104—431no—
430C2×#104—862no—
431C2×#104—862no—
432C2×#104C2×D4311yescharacteristic
433C2×#104C2×D4311yescharacteristic
434#413—431no—
435#410—431no—
436C4×M16—431no—
437C4×M16C2×D4311yescharacteristic, complemented
438C43C2×D4311yescharacteristic, complemented
439#344—431no—
440#344—431no—
441#339—431no—
442#339—431no—
443#339C2×D4311yescharacteristic, complemented
444#339C2×D4311yescharacteristic, complemented
445C43#2289911yescharacteristic, complemented, Sylow
4462−1+4—432no—
4472−1+4—861no—
4482−1+4—861no—
449H(5,𝔽2)—432no—
450H(5,𝔽2)—861no—
451H(5,𝔽2)—861no—
452H(5,𝔽2)—1721no—
453C2×#41—431no—
454C2×#41—431no—
455C2×#41—431no—
456C2×#41—862no—
457C2×#41—862no—
458C2×#41—1721no—
459C2×#41C22×D4311yescharacteristic
460#137—432no—
461#137—432no—
462#137—861no—
463#137—861no—
464AGL(1,ℤ/8)—432no—
465AGL(1,ℤ/8)—432no—
466AGL(1,ℤ/8)—861no—
467AGL(1,ℤ/8)—861no—
468#135—862no—
469#135—862no—
470#131—862no—
471#131—862no—
472#131—862no—
473#131—862no—
474#131—1721no—
475#131—1721no—
476C2×M16—431no—
477C2×M16—431no—
478C2×M16—431no—
479C2×M16—431no—
480C2×M16—862no—
481C2×M16—862no—
482C2×M16—1721no—
483C2×M16C22×D4311yescharacteristic
484C2×M16C22×D4311yescharacteristic
485C4⋊Q8—431no—
486#127—431no—
487#124—431no—
488#124—431no—
489#121—1721no—
490C4×Q8—21no—
491C4×Q8—861no—
492C4×D4—21no—
493C4×D4—41no—
494C4×D4—861no—
495C4×D4—1721no—
496C4×D4—1721no—
497#117—21no—
498#117—431no—
499#117—861no—
500#117C22×D4311yescharacteristic
501C2×C42—21no—
502C2×C42—41no—
503C2×C42—861no—
504C2×C42C22×D4311yescharacteristic
505C2×C42C22×D4311yescharacteristic
506C2×C42C22×D4311yescharacteristic
507#108—862no—
508#108—862no—
509C4⋊C8—1721no—
510#104—432no—
511#104—432no—
512#104—432no—
513#104—432no—
514#104—862no—
515#104—862no—
516#104—862no—
517#104—862no—
518#104—861no—
519#104—861no—
520#104—861no—
521#104—861no—
522#104—861no—
523#104—861no—
524#104—861no—
525#104—861no—
526#104C4×D4312yescomplemented
527#104C4×D4312yescomplemented
528#104D17212yescomplemented
529#104D17212yescomplemented
530#101—432no—
531#100—432no—
532#99—1721no—
533#97—21no—
534#97—861no—
535C4×C8—21no—
536C4×C8—861no—
537#41—21no—
538#41—21no—
539#41—432no—
540#41—432no—
541#41—862no—
542#41—862no—
543#41—861no—
544#41—861no—
545#41—862no—
546#41—862no—
547#41—861no—
548#41—861no—
549#41—861no—
550#41—861no—
551#41—861no—
552#41—861no—
553#41—861no—
554#41—861no—
555#41—1722no—
556#41—1722no—
557#41—1722no—
558#41—1722no—
559#41—1721no—
560#41—1721no—
561#41C2×C4×D4312yes—
562#41C2×D17212yes—
563C2×Q8—431no—
564C2×Q8—431no—
565C2×Q8—431no—
566C2×Q8—862no—
567C2×Q8—862no—
568C2×Q8—1721no—
569C2×Q8#1062189811yescharacteristic
570C2×D4—21no—
571C2×D4—431no—
572C2×D4—431no—
573C2×D4—431no—
574C2×D4—862no—
575C2×D4—861no—
576C2×D4—862no—
577C2×D4—861no—
578C2×D4—861no—
579C2×D4—1721no—
580C2×D4—1722no—
581C2×D4—1721no—
582C2×D4—1722no—
583C2×D4—1722no—
584C2×D4#1062189811yescharacteristic
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—41no—
590C22×C4—861no—
591C22×C4—861no—
592C22×C4—861no—
593C22×C4—1722no—
594C22×C4—1721no—
595C22×C4C23×D4311yescharacteristic
596Q16—862no—
597Q16—862no—
598SD16—862no—
599SD16—862no—
600SD16—862no—
601SD16—862no—
602D8—862no—
603D8—862no—
604M16—21no—
605M16—21no—
606M16—432no—
607M16—432no—
608M16—861no—
609M16—861no—
610M16—861no—
611M16—861no—
612M16—861no—
613M16—861no—
614M16—1722no—
615M16—1722no—
616M16—1722no—
617M16C2×C4×D4312yes—
618M16C2×D17212yes—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—861no—
622C2×C8—861no—
623C2×C8—861no—
624C2×C8—861no—
625C2×C8—1722no—
626C2×C8—1722no—
627C2×C8—1722no—
628C4⋊C4—21no—
629C4⋊C4—41no—
630C4⋊C4—861no—
631C4⋊C4—1721no—
632C4⋊C4—1721no—
633C22⋊C4—21no—
634C22⋊C4—41no—
635C22⋊C4—861no—
636C22⋊C4—1721no—
637C22⋊C4—1721no—
638C22⋊C4—1721no—
639C42—21no—
640C42—21no—
641C42—21no—
642C42—21no—
643C42—41no—
644C42—44no—
645C42—861no—
646C42—1721no—
647C42C2×C4×D4311yescharacteristic
648C42C2×C4×D4311yescharacteristic
649C42C2×D17211yescharacteristic
650C42C2×D17211yescharacteristic
651C42D4×D4311yescharacteristic
652C42D4×D4311yescharacteristic
653C23—21no—
654C23—861no—
655C23—861no—
656C23—861no—
657C23—1722no—
658C23#1306337011yescharacteristic
659Q8—21no—
660Q8—432no—
661Q8—861no—
662Q8—861no—
663Q8—861no—
664Q8—861no—
665Q8—861no—
666Q8—1722no—
667Q8C4×D17212yes—
668D4—22no—
669D4—22no—
670D4—21no—
671D4—432no—
672D4—862no—
673D4—862no—
674D4—861no—
675D4—861no—
676D4—861no—
677D4—861no—
678D4—861no—
679D4—3442no—
680D4—1722no—
681D4—1722no—
682D4—1722no—
683D4—1721no—
684D4—1721no—
685D4—1721no—
686D4—1721no—
687D4C4×D17212yes—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—82no—
702C2×C4—861no—
703C2×C4—862no—
704C2×C4—862no—
705C2×C4—861no—
706C2×C4—861no—
707C2×C4—3442no—
708C2×C4—1722no—
709C2×C4—1722no—
710C2×C4—1722no—
711C2×C4—1721no—
712C2×C4—1721no—
713C2×C4—1721no—
714C2×C4—1721no—
715C2×C4—1721no—
716C2×C4C22×C4×D4311yescharacteristic
717C2×C4C2×D4×D4311yescharacteristic
718C2×C4C22×D17211yescharacteristic
719C2×C4#41×D4311yescharacteristic
720C2×C4C2×#1062189811yescharacteristic
721C2×C4#1306337111yescharacteristic
722C8—22no—
723C8—22no—
724C8—862no—
725C8—862no—
726C8—1721no—
727C8—1721no—
728C22—22no—
729C22—41no—
730C22—81no—
731C22—862no—
732C22—3441no—
733C22—3441no—
734C22—3441no—
735C22—1721no—
736C22—1721no—
737C22—6882no—
738C22#1458337111yescharacteristic
739C22#1458353911yescharacteristic
740C22#1458354411yescharacteristic
741C4—22no—
742C4—22no—
743C4—22no—
744C4—22no—
745C4—41no—
746C4—41no—
747C4—41no—
748C4—81no—
749C4—862no—
750C4—3441no—
751C4—1721no—
752C4—1721no—
753C4C4×D4×D4311yescharacteristic
754C4C2×C4×D17211yescharacteristic
755C4D4×D17211yescharacteristic
756C4#1458357311yescharacteristic
757C2—21no—
758C2—21no—
759C2—21no—
760C2—42no—
761C2—3441no—
762C2—3441no—
763C2—1722no—
764C2#1913757711yescharacteristic
subgroupG/H
centerC4D4×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#104×C43C2
socleC2×C43#2358
prime radical#19143946C2
cosocleC22×C4×C43C24
hypercenterC4×#104D43
hypocenterC43#22899
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ C4×#104

Complements

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

NH ≅ G/Ntype
2. #19143506C2semidirect
3. #19143501C2semidirect
4. #19143143C2semidirect
5. #19143139C2semidirect
6. #19135423C2semidirect
7. #19135265C2semidirect
8. #19135264C2semidirect
9. #19135096C2semidirect
10. #19135095C2semidirect
11. #19134977C2semidirect
12. #19134837C2semidirect
13. #19134836C2semidirect
14. C4×#13063253C2semidirect
15. C4×#104×C43C2semidirect
21. #14583665C22semidirect
24. #14583083C4semidirect
25. #14583078C4semidirect
26. #14583073C4semidirect
27. #14583068C4semidirect
32. #14582948C22semidirect
33. #14582947C22semidirect
34. #14582923C22semidirect
46. C2×#13063253C22semidirect
47. C2×#13063253C22semidirect
50. #14582872C22semidirect
51. C4×#10621877C22semidirect
52. #14582671C22semidirect
53. #14582669C22semidirect
54. #14582659C22semidirect
55. #14582659C22semidirect
59. C4×M16×C43C22semidirect
60. C43×C43C22semidirect
61. C43×#339C22semidirect
62. C43×#339C22semidirect
77. #13063358C2×C4semidirect
79. #13063355C2×C4semidirect
81. #13063353C2×C4semidirect
83. #13063350C2×C4semidirect
99. #13063325C2×C4semidirect
100. #13063322C2×C4semidirect
101. #13063313C2×C4semidirect
102. #13063313C2×C4semidirect
124. #13063253C2×C4semidirect
125. #13063253C2×C4semidirect
126. #13063253D4semidirect
127. #13063253D4semidirect
130. #13063243C2×C4semidirect
131. #13063241C2×C4semidirect
148. #104×C43C2×C4semidirect
149. #104×C43C2×C4semidirect
150. #104×C43D4semidirect
151. #104×C43D4semidirect
389. C4×#104D43semidirect
437. C4×M16C2×D43semidirect
438. C43C2×D43semidirect
443. #339C2×D43semidirect
444. #339C2×D43semidirect
445. C43#22899semidirect
526. #104C4×D43semidirect
527. #104C4×D43semidirect
528. #104D172semidirect
529. #104D172semidirect

Maximal subgroups

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

subgroupindex
#191439462
#191435062
#191435012
#191431432
#191431392
#191354232
#191352652
#191352642
#191350962
#191350952
#191349772
#191348372
#191348362
C4×#130632532
C4×#104×C432
#2289943