Finite Group Databasebeta

← #25117402

Subgroups — #25117402

Order 11008.

1062 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583068C211yesmaximal, characteristic
2#19143430C211yesmaximal, characteristic, complemented
3#19143429C211yesmaximal, characteristic, complemented
4#19143122C211yesmaximal, characteristic, complemented
5#19143117C211yesmaximal, characteristic, complemented
6#19135419C211yesmaximal, characteristic, complemented
7#19135258C211yesmaximal, characteristic, complemented
8#19135257C211yesmaximal, characteristic, complemented
9#19135103C211yesmaximal, characteristic, complemented
10#19135102C211yesmaximal, characteristic, complemented
11#19134992C211yesmaximal, characteristic, complemented
12#19134830C211yesmaximal, characteristic, complemented
13#19134829C211yesmaximal, characteristic, complemented
14#19134439C211yesmaximal, characteristic, complemented
15C43×#1765C211yesmaximal, characteristic, complemented
16C2×#13063371C2211yescharacteristic
17C2×#13063353C2211yescharacteristic
18C2×#13063350C2211yescharacteristic
19C2×#13063331C2211yescharacteristic
20C2×#13063322C2211yescharacteristic
21#14583382C2211yescharacteristic
22#14583379C2211yescharacteristic
23#14583373C2211yescharacteristic, complemented
24#14583068C418yescomplemented
25#14583012—21no—
26#14583008—21no—
27#14583002—21no—
28#14583001—21no—
29C4×#10621873—21no—
30#14582984—21no—
31C4×D344—21no—
32#14582979—21no—
33#14582942C2211yescharacteristic, complemented
34#14582941C2211yescharacteristic, complemented
35C2×#13063253C2211yescharacteristic
36#14582905—21no—
37#14582905C2211yescharacteristic
38#14582903C2211yescharacteristic
39#14582902—21no—
40#14582901—21no—
41#14582901C2211yescharacteristic
42#14582900C2211yescharacteristic
43#14582899—21no—
44#14582896—21no—
45#14582896C2211yescharacteristic
46#14582894—21no—
47C2×#13063247—21no—
48C2×#13063247C2211yescharacteristic
49C2×#13063247C2211yescharacteristic
50C2×#13063247C2211yescharacteristic, complemented
51C2×#13063247C2211yescharacteristic, complemented
52#102×D43—21no—
53C2×#13063241C2211yescharacteristic
54C2×#13063241C2211yescharacteristic, complemented
55#14582854C2211yescharacteristic, complemented
56#14582765C2211yescharacteristic, complemented
57#14582667C2211yescharacteristic, complemented
58#14582667C2211yescharacteristic, complemented
59#14582664C2211yescharacteristic, complemented
60#14582659C2211yescharacteristic, complemented
61C2×#131×C43C2211yescharacteristic
62C2×#104×C43C2211yescharacteristic
63C43×#416C2211yescharacteristic
64C43×#405C2211yescharacteristic, complemented
65C2×#97×C43C2211yescharacteristic, complemented
66C43×#341C2211yescharacteristic, complemented
67C43×#339C2211yescharacteristic, complemented
68#13063371—22no—
69#13063371—22no—
70#13063371—41no—
71#13063371C2×C414yescomplemented
72C2×#10621902—21no—
73C2×#10621898—21no—
74C2×#10621898C2311yescharacteristic
75C22×D172—21no—
76C22×D172—41no—
77C22×D172C2311yescharacteristic
78C22×D172C2311yescharacteristic
79C2×D4×D43—21no—
80C2×D4×D43—41no—
81#13063353—22no—
82#13063353C2×C414yescomplemented
83#13063350—22no—
84#13063350C2×C414yescomplemented
85C2×#10621873—21no—
86C2×#10621884—21no—
87C2×D344—21no—
88C2×#10621882—21no—
89#13063331—22no—
90#13063331—41no—
91C2×#10621877C2311yescharacteristic
92C2×#10621877C2311yescharacteristic
93C2×#10621872—21no—
94C2×C8×D43—21no—
95#13063322—41no—
96#13063322C2×C414yescomplemented
97Q8×Dic43—21no—
98C4×Dic86—21no—
99C4×D172—21no—
100C4×D172—21no—
101C4×D172—21no—
102D4×Dic43—21no—
103D4×Dic43—41no—
104#13063287—21no—
105#13063287—21no—
106(C22⋊D43)⋊C4—41no—
107#13063284—21no—
108#13063284C2311yescharacteristic
109#13063283—21no—
110C2×C4⋊Dic43—21no—
111C2×C4⋊Dic43C2311yescharacteristic
112C2×C4⋊Dic43C2311yescharacteristic
113C4⋊C4×D43—21no—
114C22⋊C4×D43—41no—
115#13063259—21no—
116#13063258—21no—
117#13063257—21no—
118#13063256—21no—
119#13063253C2×C414yescomplemented
120#13063250—21no—
121#13063250D411yescharacteristic, complemented
122#13063250D411yescharacteristic, complemented
123#13063249—21no—
124#13063247—21no—
125#13063247—21no—
126#13063247—21no—
127#13063247—21no—
128#13063247—21no—
129#13063247—21no—
130#13063247—21no—
131#13063247—21no—
132#13063247—21no—
133#13063247—21no—
134#13063247—21no—
135#13063247D411yescharacteristic, complemented
136#13063247D411yescharacteristic, complemented
137#13063246—21no—
138#13063245—21no—
139#13063245—21no—
140#13063241—41no—
141#13063241C2×C414yescomplemented
142#13063235—21no—
143C8×Dic43—21no—
144C43⋊#95—41no—
145C2×#41×C43C2311yescharacteristic
146#131×C43—22no—
147#131×C43—41no—
148C2×M16×C43—21no—
149C2×M16×C43C2311yescharacteristic
150C2×M16×C43C2311yescharacteristic
151C22×C8×C43—21no—
152C22×C8×C43C2311yescharacteristic
153C22×C8×C43C2311yescharacteristic
154#117×C43C2311yescharacteristic
155C2×C42×C43C2311yescharacteristic
156#104×C43C2×C414yescomplemented
157#103×C43D411yescharacteristic, complemented
158#103×C43D411yescharacteristic, complemented
159#102×C43D411yescharacteristic, complemented
160#102×C43D411yescharacteristic, complemented
161#97×C43—21no—
162#97×C43—41no—
163C4×C8×C43—21no—
164C23×D43—21no—
165C23×D43—21no—
166C23×D43—41no—
167#41×C43—21no—
168#41×C43—21no—
169#41×C43C22×C412yes—
170#41×C43#4112yes—
171C2×Q8×C43C2×D411yescharacteristic
172C2×D4×C43—21no—
173C2×D4×C43C2×D411yescharacteristic
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43C2411yescharacteristic
177C2×C22⋊D43—21no—
178C2×C22⋊D43—41no—
179C22×Dic43—21no—
180C22×Dic43—21no—
181C22×Dic43—41no—
182#10621902—24no—
183#10621902—42no—
184D4×D43—24no—
185D4×D43—44no—
186D4×D43—42no—
187D4×D43—44no—
188#10621898—21no—
189#10621898—21no—
190#10621898—24no—
191#10621898—42no—
192#10621898C22×C412yes—
193#10621898#4112yes—
194C2×D172—21no—
195C2×D172—21no—
196C2×D172—21no—
197C2×D172—21no—
198C2×D172—21no—
199C2×D172—21no—
200C2×D172—21no—
201C2×D172—21no—
202C2×D172—21no—
203C2×D172—21no—
204C2×D172—24no—
205C2×D172—44no—
206C2×D172—41no—
207C2×D172—42no—
208C2×D172—82no—
209C2×D172—82no—
210C2×D172C22×C412yes—
211C2×D172C22×C412yes—
212C2×D172C2×D411yescharacteristic
213C2×C4×D43—21no—
214C2×C4×D43—41no—
215C2×C4×D43—41no—
216C2×C4×D43—41no—
217C2×C4×D43—41no—
218C2×Dic86C2×D411yescharacteristic
219M16×C43—21no—
220M16×C43—21no—
221M16×C43—21no—
222M16×C43—42no—
223M16×C43C22×C412yes—
224C2×C8×C43—21no—
225C2×C8×C43—21no—
226C2×C8×C43—21no—
227C2×C8×C43—21no—
228C2×C8×C43—21no—
229C2×C8×C43—21no—
230C2×C8×C43—42no—
231C2×C8×C43C2×D411yescharacteristic
232C2×C8×C43C2×D411yescharacteristic
233C2×C8×C43C2×D411yescharacteristic
234C2×C8×C43C2×D411yescharacteristic
235C4⋊C4×C43C2×D411yescharacteristic
236C4⋊C4×C43C2×D411yescharacteristic
237C22⋊C4×C43—21no—
238C42×C43—21no—
239C42×C43—21no—
240C42×C43C22×C412yes—
241C22⋊Dic43—21no—
242C22⋊Dic43—41no—
243#10621884—24no—
244#10621882—24no—
245(C2×D43)⋊C4—41no—
246(C2×D43)⋊C4—41no—
247(C2×D43)⋊C4—41no—
248C4⋊Dic43—21no—
249C4⋊Dic43—21no—
250C4⋊Dic43—21no—
251C4⋊Dic43—21no—
252C4⋊Dic43—41no—
253C4⋊Dic43C2×D411yescharacteristic
254C4⋊Dic43C2×D411yescharacteristic
255Dic43⋊C4—41no—
256C4×Dic43—21no—
257C4×Dic43—41no—
258C4×Dic43—41no—
259#10621877—21no—
260#10621877—21no—
261#10621877—21no—
262#10621877C22×C412yes—
263C2×C43⋊C8—21no—
264C2×C43⋊C8—21no—
265D344—24no—
266#10621873—24no—
267#10621872—42no—
268C8×D43—42no—
269C23×C43—21no—
270C23×C43H(5,𝔽2)11yescharacteristic
271C22×D43—21no—
272C22×D43—22no—
273C22×D43—22no—
274C22×D43—44no—
275C22×D43—41no—
276C22×D43—41no—
277C22×D43—41no—
278C22×D43—41no—
279C22×D43—81no—
280C22×D43—81no—
281C22×D43—81no—
282C22×D43—81no—
283C22×D43—161no—
284C22×D43—161no—
285Q8×C43—21no—
286Q8×C43C4×D412yes—
287D4×C43—22no—
288D4×C43—22no—
289D4×C43—21no—
290D4×C43C4×D412yes—
291C2×C4×C43—21no—
292C2×C4×C43—22no—
293C2×C4×C43—22no—
294C2×C4×C43—22no—
295C2×C4×C43—21no—
296C2×C4×C43—21no—
297C2×C4×C43—41no—
298C2×C4×C43—41no—
299C2×C4×C43C23×C411yescharacteristic
300C2×C4×C43C22×D411yescharacteristic
301C2×C4×C43C22×D411yescharacteristic
302C2×C4×C43C2×#4111yescharacteristic
303C2×C4×C43C2×#4111yescharacteristic
304C2×C4×C43H(5,𝔽2)11yescharacteristic
305C22⋊D43—22no—
306C22⋊D43—22no—
307C22⋊D43—44no—
308C2×Dic43—21no—
309C2×Dic43—21no—
310C2×Dic43—21no—
311C2×Dic43—41no—
312C2×Dic43—41no—
313C2×Dic43—81no—
314C2×Dic43—81no—
315C2×Dic43—161no—
316D172—22no—
317D172—22no—
318D172—22no—
319D172—22no—
320D172—21no—
321D172—44no—
322D172—41no—
323D172—41no—
324D172—41no—
325D172—41no—
326D172—88no—
327D172C4×D412yes—
328C4×D43—22no—
329C4×D43—22no—
330C4×D43—44no—
331C4×D43—161no—
332C4×D43—161no—
333C4×D43—161no—
334Dic86—21no—
335Dic86C4×D412yes—
336C8×C43—22no—
337C8×C43—21no—
338C8×C43—21no—
339C8×C43—21no—
340C8×C43—21no—
341C8×C43—41no—
342C43⋊C8—22no—
343C43⋊C8—41no—
344#22891—431nomaximal, Sylow
345C22×C43—21no—
346C22×C43—21no—
347C22×C43—22no—
348C22×C43—41no—
349C22×C43—41no—
350C22×C43#51811yescharacteristic
351C22×C43D4211yescharacteristic
352C22×C43#55111yescharacteristic
353C2×D43—22no—
354C2×D43—41no—
355C2×D43—41no—
356C2×D43—42no—
357C2×D43—42no—
358C2×D43—81no—
359C2×D43—81no—
360C2×D43—81no—
361C2×D43—81no—
362C2×D43—82no—
363C2×D43—82no—
364C2×D43—164no—
365C2×D43—161no—
366C2×D43—161no—
367C4×C43—22no—
368C4×C43—42no—
369C4×C43—41no—
370C4×C43—41no—
371C4×C43C2×C4×D411yescharacteristic
372C4×C43C2×C4×D411yescharacteristic
373C4×C43#54611yescharacteristic
374C4×C43#54611yescharacteristic
375Dic43—22no—
376Dic43—41no—
377Dic43—41no—
378Dic43—81no—
379Dic43—81no—
380C2×#453—431no—
381#2946—431no—
382#2946—431no—
383#2897—431no—
384#2897—431no—
385#1961—431no—
386#1931—431no—
387#1931—431no—
388#1907—431no—
389#1907—431no—
390#1887—431no—
391#1860—431no—
392#1860—431no—
393#1765—431no—
394#1765D4311yescharacteristic, complemented
395C2×C43—21no—
396C2×C43—21no—
397C2×C43—42no—
398C2×C43#235811yescharacteristic
399C2×C43#328811yescharacteristic
400C2×C43#328811yescharacteristic
401D43—42no—
402D43—82no—
403D43—82no—
404C2×H(5,𝔽2)—431no—
405C2×AGL(1,ℤ/8)—431no—
406C2×AGL(1,ℤ/8)—431no—
407C2×#131—431no—
408C2×#131C2×D4311yescharacteristic
409C2×#127—431no—
410#520—431no—
411#520—431no—
412#518—431no—
413#453—438no—
414#442—861no—
415#442—861no—
416#440—861no—
417#440—861no—
418C4×SD16—861no—
419C4×SD16—861no—
420C4×D8—861no—
421C4×D8—861no—
422#428—431no—
423#428—431no—
424C2×#104—431no—
425C2×#104C2×D4311yescharacteristic
426#418—431no—
427#418—431no—
428#418—861no—
429#418—861no—
430#417—431no—
431#417—431no—
432#417—861no—
433#417—861no—
434#416—431no—
435#416—861no—
436#416—861no—
437#416C2×D4311yescharacteristic
438C2×#102—431no—
439C2×#102—431no—
440C2×#102—431no—
441C2×#102—431no—
442C2×#102—861no—
443C2×#102—861no—
444C2×#100—431no—
445C2×#100—431no—
446#405—431no—
447#405C2×D4311yescharacteristic, complemented
448C2×#97C2×D4311yescharacteristic, complemented
449#382—431no—
450#343—431no—
451#343—431no—
452#341—431no—
453#341C2×D4311yescharacteristic, complemented
454#339—431no—
455#339C2×D4311yescharacteristic, complemented
456C43#2289111yescharacteristic, complemented, Sylow
457H(5,𝔽2)—434no—
458H(5,𝔽2)—862no—
459H(5,𝔽2)—862no—
460H(5,𝔽2)—1721no—
461C2×#41—431no—
462C2×#41—861no—
463C2×#41—861no—
464C2×#41C22×D4311yescharacteristic
465C22×D4—431no—
466C22×D4—431no—
467C22×D4—861no—
468C22×D4—861no—
469C22×D4—1721no—
470C22×D4—1721no—
471AGL(1,ℤ/8)—434no—
472AGL(1,ℤ/8)—434no—
473AGL(1,ℤ/8)—862no—
474AGL(1,ℤ/8)—862no—
475C2×SD16—861no—
476C2×SD16—861no—
477C2×D8—861no—
478C2×D8—861no—
479#131—22no—
480#131—41no—
481#131—862no—
482#131—1721no—
483C2×M16—21no—
484C2×M16—431no—
485C2×M16—431no—
486C2×M16—861no—
487C2×M16C22×D4311yescharacteristic
488C2×M16C22×D4311yescharacteristic
489C22×C8—21no—
490C22×C8—861no—
491C22×C8C22×D4311yescharacteristic
492C22×C8C22×D4311yescharacteristic
493#127—434no—
494#127—1721no—
495C4×Q8—861no—
496C4×Q8—861no—
497C4×D4—861no—
498C4×D4—861no—
499C4×D4—861no—
500C4×D4—861no—
501C4×D4—861no—
502C4×D4—861no—
503C4×D4—1721no—
504C4×D4—1721no—
505#117—431no—
506#117—861no—
507#117—861no—
508#117C22×D4311yescharacteristic
509C2×C4⋊C4—431no—
510C2×C4⋊C4—431no—
511C2×C4⋊C4—861no—
512C2×C4⋊C4—861no—
513C2×C22⋊C4—1721no—
514C2×C42C22×D4311yescharacteristic
515#107—861no—
516#107—861no—
517#106—861no—
518#106—861no—
519#104—434no—
520#104C4×D4314yescomplemented
521#103—431no—
522#103—431no—
523#103—861no—
524#103—861no—
525#103D17211yescharacteristic, complemented
526#103D17211yescharacteristic, complemented
527#102—431no—
528#102—431no—
529#102—861no—
530#102—861no—
531#102—861no—
532#102—861no—
533#102—861no—
534#102—861no—
535#102—861no—
536#102—861no—
537#102—861no—
538#102—861no—
539#102—861no—
540#102—861no—
541#102—861no—
542#102—861no—
543#102D17211yescharacteristic, complemented
544#102D17211yescharacteristic, complemented
545#100—434no—
546#100—1721no—
547#97—21no—
548#97—41no—
549#97—861no—
550C4×C8—21no—
551C4×C8—861no—
552#95—1721no—
553C24—861no—
554C24—861no—
555C24—1721no—
556#41—21no—
557#41—21no—
558#41—432no—
559#41—432no—
560#41—864no—
561#41—861no—
562#41—861no—
563#41—864no—
564#41—1722no—
565#41—1722no—
566#41C2×C4×D4312yes—
567#41#1062189812yes—
568C2×Q8—431no—
569C2×Q8C2×D17211yescharacteristic
570C2×D4—21no—
571C2×D4—432no—
572C2×D4—432no—
573C2×D4—431no—
574C2×D4—864no—
575C2×D4—861no—
576C2×D4—864no—
577C2×D4—861no—
578C2×D4—861no—
579C2×D4—861no—
580C2×D4—861no—
581C2×D4—861no—
582C2×D4—861no—
583C2×D4—861no—
584C2×D4—861no—
585C2×D4—861no—
586C2×D4—861no—
587C2×D4—3442no—
588C2×D4—3442no—
589C2×D4—1722no—
590C2×D4—1724no—
591C2×D4—1721no—
592C2×D4—1722no—
593C2×D4—1721no—
594C2×D4—1724no—
595C2×D4—1724no—
596C2×D4C2×D17211yescharacteristic
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—861no—
600C22×C4—861no—
601C22×C4—861no—
602C22×C4—1721no—
603C22×C4—1721no—
604C22×C4—1721no—
605C22×C4—1721no—
606C22×C4—1721no—
607C22×C4C23×D4311yescharacteristic
608SD16—864no—
609SD16—864no—
610D8—864no—
611D8—864no—
612M16—21no—
613M16—21no—
614M16—21no—
615M16—42no—
616M16—432no—
617M16—861no—
618M16—861no—
619M16—861no—
620M16—1722no—
621M16C2×C4×D4312yes—
622C2×C8—21no—
623C2×C8—21no—
624C2×C8—21no—
625C2×C8—21no—
626C2×C8—21no—
627C2×C8—21no—
628C2×C8—42no—
629C2×C8—861no—
630C2×C8—861no—
631C2×C8—1722no—
632C2×C8C2×D17211yescharacteristic
633C2×C8C2×D17211yescharacteristic
634C2×C8D4×D4311yescharacteristic
635C2×C8D4×D4311yescharacteristic
636C4⋊C4—431no—
637C4⋊C4—431no—
638C4⋊C4—861no—
639C4⋊C4—861no—
640C4⋊C4—861no—
641C4⋊C4—861no—
642C4⋊C4—1721no—
643C4⋊C4—1721no—
644C4⋊C4C2×D17211yescharacteristic
645C4⋊C4C2×D17211yescharacteristic
646C22⋊C4—21no—
647C22⋊C4—861no—
648C22⋊C4—1721no—
649C22⋊C4—1721no—
650C22⋊C4—1721no—
651C22⋊C4—1721no—
652C42—21no—
653C42—21no—
654C42—861no—
655C42—1721no—
656C42—1721no—
657C42C2×C4×D4312yes—
658C23—21no—
659C23—861no—
660C23—862no—
661C23—862no—
662C23—3441no—
663C23—3441no—
664C23—3441no—
665C23—3441no—
666C23—1724no—
667C23—1721no—
668C23—1721no—
669C23—1721no—
670C23—1721no—
671C23—6881no—
672C23—6881no—
673C23#1306337111yescharacteristic
674Q8—21no—
675Q8—432no—
676Q8—861no—
677Q8C4×D17212yes—
678D4—22no—
679D4—22no—
680D4—21no—
681D4—432no—
682D4—862no—
683D4—862no—
684D4—862no—
685D4—862no—
686D4—862no—
687D4—862no—
688D4—861no—
689D4—3448no—
690D4—1724no—
691D4—1724no—
692D4—1721no—
693D4—1721no—
694D4—1721no—
695D4—1721no—
696D4C4×D17212yes—
697C2×C4—21no—
698C2×C4—22no—
699C2×C4—22no—
700C2×C4—22no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—861no—
706C2×C4—862no—
707C2×C4—862no—
708C2×C4—861no—
709C2×C4—861no—
710C2×C4—3441no—
711C2×C4—3441no—
712C2×C4—1724no—
713C2×C4—1721no—
714C2×C4—1721no—
715C2×C4—6881no—
716C2×C4—6881no—
717C2×C4—6881no—
718C2×C4—6881no—
719C2×C4C22×C4×D4311yescharacteristic
720C2×C4C2×D4×D4311yescharacteristic
721C2×C4C22×D17211yescharacteristic
722C2×C4#41×D4311yescharacteristic
723C2×C4C2×#1062189811yescharacteristic
724C2×C4#1306337011yescharacteristic
725C8—22no—
726C8—21no—
727C8—21no—
728C8—21no—
729C8—21no—
730C8—41no—
731C8—862no—
732C8—1721no—
733C22—21no—
734C22—21no—
735C22—22no—
736C22—41no—
737C22—41no—
738C22—862no—
739C22—3442no—
740C22—3442no—
741C22—3441no—
742C22—3441no—
743C22—3441no—
744C22—3441no—
745C22—1722no—
746C22—1722no—
747C22—1721no—
748C22—1721no—
749C22—6881no—
750C22—6881no—
751C22—6884no—
752C22#1458337111yescharacteristic
753C22D4×D17211yescharacteristic
754C22#1458357311yescharacteristic
755C4—22no—
756C4—42no—
757C4—41no—
758C4—41no—
759C4—862no—
760C4—3441no—
761C4—3441no—
762C4—1721no—
763C4—1721no—
764C4C4×D4×D4311yescharacteristic
765C4C2×C4×D17211yescharacteristic
766C4#1458353911yescharacteristic
767C4#1458354411yescharacteristic
768C2—21no—
769C2—21no—
770C2—42no—
771C2—3442no—
772C2—3442no—
773C2—1722no—
774C2#1913757711yescharacteristic
775C2#1914636211yescharacteristic
776C2#1914636211yescharacteristic
subgroupG/H
centerC22D4×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1765C2
socleC22×C43D42
prime radicalC2×#14583068C2
cosocleC22×C4×C43C24
hypercenter#1765D43
hypocenterC43#22891
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1765

Complements

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

NH ≅ G/Ntype
2. #19143430C2semidirect
3. #19143429C2semidirect
4. #19143122C2semidirect
5. #19143117C2semidirect
6. #19135419C2semidirect
7. #19135258C2semidirect
8. #19135257C2semidirect
9. #19135103C2semidirect
10. #19135102C2semidirect
11. #19134992C2semidirect
12. #19134830C2semidirect
13. #19134829C2semidirect
14. #19134439C2semidirect
15. C43×#1765C2semidirect
23. #14583373C22semidirect
24. #14583068C4semidirect
33. #14582942C22semidirect
34. #14582941C22semidirect
50. C2×#13063247C22semidirect
51. C2×#13063247C22semidirect
54. C2×#13063241C22semidirect
55. #14582854C22semidirect
56. #14582765C22semidirect
57. #14582667C22semidirect
58. #14582667C22semidirect
59. #14582664C22semidirect
60. #14582659C22semidirect
64. C43×#405C22semidirect
65. C2×#97×C43C22semidirect
66. C43×#341C22semidirect
67. C43×#339C22semidirect
71. #13063371C2×C4semidirect
82. #13063353C2×C4semidirect
84. #13063350C2×C4semidirect
96. #13063322C2×C4semidirect
119. #13063253C2×C4semidirect
121. #13063250D4semidirect
122. #13063250D4semidirect
135. #13063247D4semidirect
136. #13063247D4semidirect
141. #13063241C2×C4semidirect
156. #104×C43C2×C4semidirect
157. #103×C43D4semidirect
158. #103×C43D4semidirect
159. #102×C43D4semidirect
160. #102×C43D4semidirect
394. #1765D43semidirect
447. #405C2×D43semidirect
448. C2×#97C2×D43semidirect
453. #341C2×D43semidirect
455. #339C2×D43semidirect
456. C43#22891semidirect
520. #104C4×D43semidirect
525. #103D172semidirect
526. #103D172semidirect
543. #102D172semidirect
544. #102D172semidirect

Maximal subgroups

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

subgroupindex
C2×#145830682
#191434302
#191434292
#191431222
#191431172
#191354192
#191352582
#191352572
#191351032
#191351022
#191349922
#191348302
#191348292
#191344392
C43×#17652
#2289143