Finite Group Databasebeta

← #25976098

Subgroups — #25976098

Order 11008.

1810 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148462C211yesmaximal, characteristic, complemented
2#19148449C211yesmaximal, characteristic
3#19147139C214yesmaximal, complemented
4#19147109C214yesmaximal, complemented
5#19147079C214yesmaximal, complemented
6#19147034C214yesmaximal, complemented
7#19144567C212yesmaximal, complemented
8#19144556C212yesmaximal, complemented
9#19144396C211yesmaximal, characteristic, complemented
10#19144388C211yesmaximal, characteristic, complemented
11#19144235C212yesmaximal, complemented
12C2×#14583001C211yesmaximal, characteristic, complemented
13#19143314C211yesmaximal, characteristic, complemented
14#19143192C212yesmaximal, complemented
15C43×#3162C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C2×#13063331C2212yes—
18#14583634—21no—
19#14583634—22no—
20#14583628—21no—
21#14583623C2212yescomplemented
22#14583622—21no—
23#14583622—22no—
24#14583615C2212yes—
25#14583610C2212yescomplemented
26#14583602C2214yes—
27#14583587C2214yescomplemented
28#14583571—21no—
29#14583552C2212yes—
30#14583498—22no—
31#14583489—22no—
32#14583475C2212yes—
33#14583468C2212yes—
34#14583449C2211yescharacteristic
35#14583435—22no—
36#14583412—22no—
37#14583379C2212yes—
38#14583379C2212yes—
39C2×C4×Dic86C2211yescharacteristic
40C2×C4×D172C2211yescharacteristic
41#14583243C2214yescomplemented
42#14583242C2214yescomplemented
43#14583236C2214yescomplemented
44#14583231C2214yescomplemented
45#14583226C2214yes—
46#14583225C2214yes—
47#14583219C2214yes—
48#14583214C2214yes—
49#14583203C2214yescomplemented
50#14583196C2214yes—
51#14583191C2212yescomplemented
52#14583186C2212yes—
53#14583181C2212yescomplemented
54#14583176C2212yes—
55#14583146C2214yes—
56#14583146C2214yes—
57#14583129C2214yes—
58#14583129C2214yes—
59#14583001C2214yes—
60#14583001C2214yes—
61#14582972C2214yescomplemented
62#14582972C2214yescomplemented
63#14582942C2212yes—
64#14582942C2212yes—
65#14582938C2214yescomplemented
66#14582938C2214yescomplemented
67#14582936C2214yescomplemented
68C2×#13063259C2211yescharacteristic
69#107×D43C2214yescomplemented
70#14582923C2211yescharacteristic
71#14582907C2212yes—
72#14582903C2212yes—
73C2×#13063250C2211yescharacteristic
74C2×#13063247C2211yescharacteristic
75#14582865C2212yes—
76C43×#533C2211yescharacteristic
77C43×#533C2211yescharacteristic
78C43×#501C2212yescomplemented
79C43×#501C2212yescomplemented
80C43×#501C2212yescomplemented
81C43×#501C2212yescomplemented
82C43×#427C2212yes—
83C43×#427C2212yes—
84C2×#97×C43C2211yescharacteristic
85C2×#10621902—22no—
86C2×#10621898C2312yes—
87C22×Dic86C2311yescharacteristic
88C22×D172C2311yescharacteristic
89C22×C4×D43—21no—
90C2×#10621873—24no—
91C2×#10621873C2314yes—
92#13063331—28no—
93C2×#10621877C2312yes—
94C2×#10621872C2314yes—
95C2×C8×D43C2314yes—
96#13063325—22no—
97#13063325D411yescharacteristic
98#13063322—22no—
99#13063322D411yescharacteristic
100#13063320—24no—
101#13063320—24no—
102#13063320—24no—
103#13063316—24no—
104#13063316—22no—
105#13063314—22no—
106#13063314—24no—
107#13063313—22no—
108#13063313—22no—
109#13063313D412yes—
110#13063310—24no—
111#13063310—24no—
112#13063310—24no—
113#13063309—24no—
114#13063305C2314yes—
115#13063305C2314yes—
116#13063301—24no—
117#13063301—22no—
118#13063300—24no—
119#13063300—22no—
120#13063300C2314yes—
121#13063300C2314yes—
122#13063299D412yes—
123#13063299D412yes—
124#13063295—24no—
125Q8×Dic43—22no—
126C4×Dic86—22no—
127C4×Dic86—22no—
128C4×Dic86—21no—
129C4×Dic86—21no—
130C4×Dic86C2312yes—
131C4×Dic86C2312yes—
132C4×D172—22no—
133C4×D172—22no—
134C4×D172—21no—
135C4×D172—21no—
136C4×D172C2312yes—
137C4×D172C2312yes—
138C4×D172C2312yes—
139C4×D172C2312yes—
140#13063287—22no—
141#13063287—24no—
142(C22⋊D43)⋊C4—24no—
143(C22⋊D43)⋊C4—24no—
144#13063283—24no—
145#13063283—22no—
146#13063283C2314yes—
147#13063283C2314yes—
148C2×C4⋊Dic43C2311yescharacteristic
149C2×C4⋊Dic43C2311yescharacteristic
150C2×Dic43⋊C4—21no—
151C4⋊C4×D43C2314yes—
152C4⋊C4×D43C2314yes—
153C2×(C2×D43)⋊C4—21no—
154C2×C4×Dic43—21no—
155#13063259C2314yes—
156#13063258C2314yes—
157#13063258C2314yes—
158#13063256C2314yes—
159#13063256C2314yes—
160C4⋊(C43⋊C8)C2312yes—
161C4⋊(C43⋊C8)C2312yes—
162#13063250C2314yes—
163#13063248C2314yes—
164#13063248C2314yes—
165#13063247C2314yes—
166#13063245C2314yes—
167#13063245C2314yes—
168(C2×D43)⋊C8C2314yes—
169(C2×D43)⋊C8C2314yes—
170C22×C8×C43C2311yescharacteristic
171C22×C8×C43C2311yescharacteristic
172C4⋊Q8×C43C2311yescharacteristic
173C4⋊Q8×C43C2311yescharacteristic
174C4⋊Q8×C43C2311yescharacteristic
175C4⋊Q8×C43C2311yescharacteristic
176#125×C43C2312yes—
177#125×C43C2312yes—
178C22⋊Q8×C43—21no—
179C22⋊Q8×C43—21no—
180C22⋊Q8×C43—21no—
181C22⋊Q8×C43—21no—
182C4×Q8×C43—21no—
183C4×Q8×C43—21no—
184C4×Q8×C43—21no—
185C4×Q8×C43—21no—
186#117×C43C2312yes—
187#117×C43C2312yes—
188C2×C42×C43C2311yescharacteristic
189#107×C43C2312yes—
190#107×C43C2312yes—
191#107×C43C2312yes—
192#107×C43C2312yes—
193#106×C43C2312yes—
194#106×C43C2312yes—
195#106×C43C2312yes—
196#106×C43C2312yes—
197#97×C43C2312yes—
198#97×C43C2312yes—
199C23×D43—21no—
200C2×Q8×C43—21no—
201C2×Q8×C43—21no—
202C2×Q8×C43—21no—
203C2×Q8×C43—21no—
204C22×C4×C43C2×D411yescharacteristic
205C22×C4×C43C2×D411yescharacteristic
206C22×C4×C43C2411yescharacteristic
207C2×C22⋊D43C2×D414yes—
208C22×Dic43—21no—
209C22×Dic43—21no—
210C22×Dic43—21no—
211#10621902—84no—
212#10621898—24no—
213#10621898—24no—
214C2×D172—21no—
215C2×D172—24no—
216C2×D172—24no—
217C2×D172—22no—
218C2×D172—22no—
219C2×D172C2×D412yes—
220C2×D172C2×D412yes—
221C2×D172C2×D412yes—
222C2×D172C2412yes—
223C2×C4×D43—22no—
224C2×C4×D43—22no—
225C2×C4×D43—24no—
226C2×C4×D43—24no—
227C2×C4×D43—82no—
228C2×C4×D43C2414yes—
229C2×Dic86—22no—
230C2×Dic86—22no—
231C2×Dic86—21no—
232C2×Dic86C2×D412yes—
233C2×Dic86C2412yes—
234C2×C8×C43—22no—
235C2×C8×C43#4114yescomplemented
236C2×C8×C43C2412yes—
237C2×C8×C43C2412yes—
238C4⋊C4×C43—22no—
239C4⋊C4×C43—22no—
240C4⋊C4×C43—22no—
241C4⋊C4×C43—22no—
242C4⋊C4×C43—21no—
243C4⋊C4×C43—21no—
244C4⋊C4×C43—21no—
245C4⋊C4×C43—21no—
246C4⋊C4×C43C2412yes—
247C4⋊C4×C43C2412yes—
248C4⋊C4×C43C2412yes—
249C4⋊C4×C43C2412yes—
250C22⋊C4×C43—22no—
251C22⋊C4×C43—22no—
252C42×C43—22no—
253C42×C43—22no—
254C42×C43C2×D411yescharacteristic
255C42×C43C2×D411yescharacteristic
256C42×C43C2411yescharacteristic
257C42×C43C2411yescharacteristic
258(C2×D43)⋊C4—22no—
259(C2×D43)⋊C4—22no—
260(C2×D43)⋊C4—24no—
261(C2×D43)⋊C4—24no—
262(C2×D43)⋊C4—24no—
263(C2×D43)⋊C4—24no—
264(C2×D43)⋊C4—24no—
265(C2×D43)⋊C4—24no—
266(C2×D43)⋊C4C2×D414yes—
267(C2×D43)⋊C4C2×D414yes—
268C4⋊Dic43—21no—
269C4⋊Dic43—21no—
270C4⋊Dic43—24no—
271C4⋊Dic43—24no—
272C4⋊Dic43C2×D412yes—
273C4⋊Dic43C2×D412yes—
274C4⋊Dic43C2412yes—
275C4⋊Dic43C2412yes—
276Dic43⋊C4—22no—
277Dic43⋊C4—22no—
278Dic43⋊C4—24no—
279Dic43⋊C4—24no—
280C4×Dic43—22no—
281C4×Dic43—22no—
282C4×Dic43—24no—
283C4×Dic43—24no—
284#10621877—24no—
285C2×C43⋊C8C2414yes—
286#10621873—28no—
287#10621872—28no—
288C8×D43—28no—
289C23×C43C22×D411yescharacteristic
290C22×D43—22no—
291C22×D43—42no—
292C22×D43—81no—
293C22×D43—81no—
294C22×D43C22×D414yes—
295Q8×C43—42no—
296Q8×C43—42no—
297Q8×C43—81no—
298Q8×C43—81no—
299C2×C4×C43—22no—
300C2×C4×C43—22no—
301C2×C4×C43—22no—
302C2×C4×C43—22no—
303C2×C4×C43—41no—
304C2×C4×C43—41no—
305C2×C4×C43C22×D411yescharacteristic
306C2×C4×C43C22×D411yescharacteristic
307C2×C4×C43C22×D411yescharacteristic
308C2×C4×C43C22×D411yescharacteristic
309C2×C4×C43C22×D411yescharacteristic
310C2×C4×C43C2×#4112yes—
311C2×C4×C432−1+412yes—
312C2×C4×C43C2511yescharacteristic
313C22⋊D43—28no—
314C2×Dic43—22no—
315C2×Dic43—22no—
316C2×Dic43—22no—
317C2×Dic43—42no—
318C2×Dic43—81no—
319C2×Dic43—81no—
320C2×Dic43C22×D414yes—
321D172—24no—
322D172—22no—
323D172—22no—
324D172—42no—
325D172—42no—
326D172—42no—
327D172—84no—
328D172—84no—
329C4×D43—24no—
330C4×D43—24no—
331C4×D43—44no—
332C4×D43—82no—
333C4×D43—84no—
334C4×D43—84no—
335Dic86—24no—
336Dic86—22no—
337Dic86—22no—
338Dic86—42no—
339C8×C43—22no—
340C8×C43C2×#4114yes—
341C43⋊C8—24no—
342#61291—431nomaximal, Sylow
343C22×C43—21no—
344C22×C43—21no—
345C22×C43#54712yes—
346C22×C43C23×D411yescharacteristic
347C2×D43—24no—
348C2×D43—24no—
349C2×D43—24no—
350C2×D43—42no—
351C2×D43—42no—
352C2×D43—42no—
353C2×D43—84no—
354C4×C43—21no—
355C4×C43—21no—
356C4×C43—21no—
357C4×C43—21no—
358C4×C43—42no—
359C4×C43—42no—
360C4×C43—42no—
361C4×C43—42no—
362C4×C43#54712yes—
363C4×C43C22×#4111yescharacteristic
364C4×C43C2×2−1+411yescharacteristic
365Dic43—24no—
366Dic43—42no—
367Dic43—42no—
368Dic43—42no—
369#3507—431no—
370#3506—431no—
371#3350—434no—
372#3348—434no—
373#3346—434no—
374#3343—434no—
375#3162D4311yescharacteristic, complemented
376#3097—432no—
377#3096—432no—
378#3078—431no—
379#3077—431no—
380#3057—432no—
381C2×#440—431no—
382#2932—431no—
383#2913—432no—
384C2×C43—22no—
385C2×C43C2×#54711yescharacteristic
386C2×C43#358511yescharacteristic
387C2×C43#358611yescharacteristic
388D43—44no—
389D43—82no—
390C22×SD16—431no—
391C2×#131—432no—
392#559—862no—
393#559—861no—
394#557—861no—
395#556—432no—
396#556—862no—
397#556—861no—
398#555—432no—
399#554—432no—
400#553—434no—
401#552—434no—
402#550—861no—
403#547—432no—
404#539—862no—
405#538—862no—
406#536—432no—
407#535—432no—
408#533C2×D4311yescharacteristic
409#533C2×D4311yescharacteristic
410#532—431no—
411#529—862no—
412#525—862no—
413#520—432no—
414#520—432no—
415C2×C4×Q8—431no—
416C2×C4×D4—431no—
417#501C2×D4312yescomplemented
418#501C2×D4312yescomplemented
419#501C2×D4312yescomplemented
420#501C2×D4312yescomplemented
421#485—434no—
422#485—434no—
423#484—434no—
424#483—434no—
425#482—434no—
426#482—434no—
427#481—434no—
428#480—434no—
429#479—434no—
430#478—434no—
431#477—432no—
432#476—432no—
433#475—432no—
434#474—432no—
435#468—434no—
436#468—434no—
437#465—434no—
438#465—434no—
439#440—434no—
440#440—434no—
441#435—434no—
442#435—434no—
443#428—432no—
444#428—432no—
445#428—434no—
446#428—434no—
447#427—434no—
448#427C2×D4312yes—
449#427C2×D4312yes—
450C2×#107—431no—
451C2×#107—434no—
452#423—431no—
453#419—432no—
454#418—432no—
455C2×#103—431no—
456C2×#102—431no—
457#408—432no—
458C2×#97C2×D4311yescharacteristic
459C43#6129111yescharacteristic, complemented, Sylow
460C2×#41—432no—
461C2×#41—862no—
462C22×Q8—431no—
463C22×D4—431no—
464C23×C4—861no—
465C2×SD16—434no—
466C2×SD16—864no—
467#131—868no—
468C2×M16—432no—
469C2×M16—434no—
470C22×C8—434no—
471C22×C8C22×D4311yescharacteristic
472C22×C8C22×D4311yescharacteristic
473C4⋊Q8—431no—
474C4⋊Q8—862no—
475C4⋊Q8C22×D4311yescharacteristic
476C4⋊Q8C22×D4311yescharacteristic
477C4⋊Q8C22×D4311yescharacteristic
478C4⋊Q8C22×D4311yescharacteristic
479#127—431no—
480#127—862no—
481#126—864no—
482#126—864no—
483#126—864no—
484#125—862no—
485#125—864no—
486#125C22×D4312yes—
487#125C22×D4312yes—
488#124—432no—
489#124—862no—
490#124—862no—
491#124—864no—
492#124—862no—
493#123—864no—
494#123—864no—
495#123—864no—
496#123—864no—
497C22⋊Q8—21no—
498C22⋊Q8—21no—
499C22⋊Q8—21no—
500C22⋊Q8—21no—
501C22⋊Q8—434no—
502C22⋊Q8—434no—
503C22⋊Q8—864no—
504C22⋊Q8—862no—
505#121—432no—
506#121—432no—
507#121—434no—
508#121—434no—
509#121—862no—
510#121—864no—
511#120—864no—
512C4×Q8—21no—
513C4×Q8—21no—
514C4×Q8—21no—
515C4×Q8—21no—
516C4×Q8—432no—
517C4×Q8—432no—
518C4×Q8—862no—
519C4×Q8—862no—
520C4×Q8—862no—
521C4×Q8—861no—
522C4×Q8—861no—
523C4×D4—432no—
524C4×D4—432no—
525C4×D4—432no—
526C4×D4—432no—
527C4×D4—862no—
528C4×D4—862no—
529C4×D4—864no—
530C4×D4—864no—
531C4×D4—864no—
532C4×D4—862no—
533C4×D4—861no—
534C4×D4—861no—
535#117—434no—
536#117—434no—
537#117—864no—
538#117—862no—
539#117C22×D4312yes—
540#117C22×D4312yes—
541C2×C4⋊C4—431no—
542C2×C4⋊C4—431no—
543C2×C4⋊C4—434no—
544C2×C4⋊C4—434no—
545C2×C4⋊C4—861no—
546C2×C22⋊C4—861no—
547C2×C42—861no—
548C2×C42C22×D4311yescharacteristic
549#107—434no—
550#107—434no—
551#107—434no—
552#107C22×D4312yes—
553#107C22×D4312yes—
554#107C22×D4312yes—
555#107C22×D4312yes—
556#106—434no—
557#106—434no—
558#106C22×D4312yes—
559#106C22×D4312yes—
560#106C22×D4312yes—
561#106C22×D4312yes—
562C4⋊C8—432no—
563C4⋊C8—432no—
564#103—434no—
565#103—434no—
566#103—434no—
567#102—434no—
568#102—434no—
569#102—434no—
570C22⋊C8—434no—
571C22⋊C8—434no—
572#97C22×D4312yes—
573#97C22×D4312yes—
574C24—861no—
575#41—864no—
576#41—864no—
577#41—3444no—
578C2×Q8—21no—
579C2×Q8—21no—
580C2×Q8—21no—
581C2×Q8—21no—
582C2×Q8—432no—
583C2×Q8—432no—
584C2×Q8—861no—
585C2×Q8—862no—
586C2×Q8—862no—
587C2×D4—434no—
588C2×D4—432no—
589C2×D4—432no—
590C2×D4—432no—
591C2×D4—432no—
592C2×D4—864no—
593C2×D4—864no—
594C2×D4—861no—
595C2×D4—862no—
596C2×D4—862no—
597C22×C4—434no—
598C22×C4—864no—
599C22×C4—864no—
600C22×C4—861no—
601C22×C4—861no—
602C22×C4—861no—
603C22×C4—862no—
604C22×C4—862no—
605C22×C4—3442no—
606C22×C4D4×D4311yescharacteristic
607C22×C4D4×D4311yescharacteristic
608C22×C4C23×D4311yescharacteristic
609SD16—868no—
610M16—864no—
611M16—868no—
612C2×C8—22no—
613C2×C8—434no—
614C2×C8—868no—
615C2×C8#1062190214yescomplemented
616C2×C8C23×D4312yes—
617C2×C8C23×D4312yes—
618C4⋊C4—21no—
619C4⋊C4—22no—
620C4⋊C4—22no—
621C4⋊C4—21no—
622C4⋊C4—22no—
623C4⋊C4—21no—
624C4⋊C4—22no—
625C4⋊C4—21no—
626C4⋊C4—432no—
627C4⋊C4—432no—
628C4⋊C4—432no—
629C4⋊C4—432no—
630C4⋊C4—864no—
631C4⋊C4—864no—
632C4⋊C4—864no—
633C4⋊C4—864no—
634C4⋊C4—861no—
635C4⋊C4—861no—
636C4⋊C4—862no—
637C4⋊C4—862no—
638C4⋊C4C23×D4312yes—
639C4⋊C4C23×D4312yes—
640C4⋊C4C23×D4312yes—
641C4⋊C4C23×D4312yes—
642C22⋊C4—22no—
643C22⋊C4—22no—
644C22⋊C4—434no—
645C22⋊C4—434no—
646C22⋊C4—864no—
647C22⋊C4—864no—
648C22⋊C4—864no—
649C22⋊C4—864no—
650C22⋊C4—864no—
651C22⋊C4—864no—
652C22⋊C4—862no—
653C22⋊C4—862no—
654C42—22no—
655C42—22no—
656C42—864no—
657C42—864no—
658C42—862no—
659C42—862no—
660C42D4×D4311yescharacteristic
661C42D4×D4311yescharacteristic
662C42C23×D4311yescharacteristic
663C42C23×D4311yescharacteristic
664C23—434no—
665C23—862no—
666C23—3441no—
667C23—3441no—
668C23—1722no—
669C23C2×D4×D4311yescharacteristic
670Q8—42no—
671Q8—42no—
672Q8—81no—
673Q8—81no—
674Q8—864no—
675Q8—862no—
676Q8—862no—
677Q8—1722no—
678D4—868no—
679D4—864no—
680D4—862no—
681D4—862no—
682D4—3444no—
683D4—3444no—
684D4—1722no—
685D4—1722no—
686D4—1722no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—434no—
694C2×C4—864no—
695C2×C4—864no—
696C2×C4—862no—
697C2×C4—862no—
698C2×C4—862no—
699C2×C4—3442no—
700C2×C4—3444no—
701C2×C4—3444no—
702C2×C4—3441no—
703C2×C4—3441no—
704C2×C4—1724no—
705C2×C4—1722no—
706C2×C4C2×D4×D4311yescharacteristic
707C2×C4C2×D4×D4311yescharacteristic
708C2×C4C2×D4×D4311yescharacteristic
709C2×C4C2×D4×D4311yescharacteristic
710C2×C4C2×D4×D4311yescharacteristic
711C2×C4C2×#1062190212yes—
712C2×C4#1306337312yes—
713C2×C4C24×D4311yescharacteristic
714C8—22no—
715C8—864no—
716C8C2×#1062190214yes—
717C22—21no—
718C22—21no—
719C22—864no—
720C22—864no—
721C22—864no—
722C22—3444no—
723C22—1722no—
724C22—1722no—
725C22—1722no—
726C22#1458355212yes—
727C22C22×D4×D4311yescharacteristic
728C4—21no—
729C4—21no—
730C4—21no—
731C4—21no—
732C4—42no—
733C4—42no—
734C4—42no—
735C4—42no—
736C4—864no—
737C4—1722no—
738C4—1722no—
739C4—1722no—
740C4#1458355212yes—
741C4C22×#1062190211yescharacteristic
742C4C2×#1306337311yescharacteristic
743C2—22no—
744C2—3442no—
745C2—1724no—
746C2C2×#1458355211yescharacteristic
747C2#1914937211yescharacteristic
748C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3162C2
socleC22×C43C23×D4
prime radical#19148449C2
hypercenter#3162D43
hypocenterC43#61291
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3162

Complements

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

NH ≅ G/Ntype
1. #19148462C2semidirect
3. #19147139C2semidirect
4. #19147109C2semidirect
5. #19147079C2semidirect
6. #19147034C2semidirect
7. #19144567C2semidirect
8. #19144556C2semidirect
9. #19144396C2semidirect
10. #19144388C2semidirect
11. #19144235C2semidirect
12. C2×#14583001C2semidirect
13. #19143314C2semidirect
14. #19143192C2semidirect
15. C43×#3162C2semidirect
21. #14583623C22semidirect
25. #14583610C22semidirect
27. #14583587C22semidirect
41. #14583243C22semidirect
42. #14583242C22semidirect
43. #14583236C22semidirect
44. #14583231C22semidirect
49. #14583203C22semidirect
51. #14583191C22semidirect
53. #14583181C22semidirect
61. #14582972C22semidirect
62. #14582972C22semidirect
65. #14582938C22semidirect
66. #14582938C22semidirect
67. #14582936C22semidirect
69. #107×D43C22semidirect
78. C43×#501C22semidirect
79. C43×#501C22semidirect
80. C43×#501C22semidirect
81. C43×#501C22semidirect
235. C2×C8×C43#41semidirect
375. #3162D43semidirect
417. #501C2×D43semidirect
418. #501C2×D43semidirect
419. #501C2×D43semidirect
420. #501C2×D43semidirect
459. C43#61291semidirect
615. C2×C8#10621902semidirect

Maximal subgroups

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

subgroupindex
#191484622
#191484492
#191471392
#191471092
#191470792
#191470342
#191445672
#191445562
#191443962
#191443882
#191442352
C2×#145830012
#191433142
#191431922
C43×#31622
#6129143