Finite Group Databasebeta

← #25976689

Subgroups — #25976689

Order 11008.

1798 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148460C211yesmaximal, characteristic, complemented
2#19148396C211yesmaximal, characteristic, complemented
3#19147429C214yesmaximal, complemented
4#19147379C214yesmaximal, complemented
5#19147351C214yesmaximal, complemented
6#19147316C214yesmaximal, complemented
7#19144956C212yesmaximal, complemented
8#19144943C211yesmaximal, characteristic, complemented
9#19144445C212yesmaximal, complemented
10#19144106C212yesmaximal, complemented
11#19144061C211yesmaximal, characteristic
12#19143532C211yesmaximal, characteristic, complemented
13#19143425C212yesmaximal, complemented
14C2×#14582997C211yesmaximal, characteristic, complemented
15C43×#3078C211yesmaximal, characteristic, complemented
16C2×#13063353C2212yes—
17C22×#10621884C2211yescharacteristic
18#14583634C2212yescomplemented
19#14583627C2212yescomplemented
20#14583622—21no—
21#14583621C2214yescomplemented
22#14583610C2212yes—
23#14583609—21no—
24#14583609—21no—
25#14583609—22no—
26#14583605C2214yes—
27#14583590—22no—
28Q8×D172—21no—
29#14583564C2212yes—
30#14583527C2212yes—
31#14583524—22no—
32#14583496—22no—
33#14583473C2212yes—
34#14583456C2211yescharacteristic
35#14583449C2211yescharacteristic
36#14583433—22no—
37C22⋊Q8×D43—22no—
38#14583380C2212yes—
39#14583373C2212yes—
40C2×C4×D172C2211yescharacteristic
41#14583269C2212yescomplemented
42#14583266C2214yescomplemented
43#14583265C2212yescomplemented
44#14583261C2212yescomplemented
45#14583261C2212yescomplemented
46#14583260C2214yescomplemented
47#14583255C2214yescomplemented
48#14583248C2214yescomplemented
49#14583209C2214yescomplemented
50#14583198C2214yescomplemented
51#14583193C2214yescomplemented
52#14583178C2214yescomplemented
53#14583117C2214yes—
54#14583117C2214yes—
55#14583115C2214yes—
56#14583105C2212yes—
57#14583103C2214yes—
58#14583103C2214yes—
59#14583095C2212yes—
60#14583028C2214yescomplemented
61#14583028C2214yescomplemented
62#14583010C2214yes—
63#14582998C2214yes—
64#14582997C2214yes—
65#14582997C2214yes—
66#14582986C2214yes—
67#14582981C2214yes—
68C2×#13063258C2211yescharacteristic
69#14582927C2212yes—
70#14582901C2212yes—
71#14582893C2212yes—
72#14582893C2212yes—
73C2×#13063249C2211yescharacteristic
74C2×#13063245C2211yescharacteristic
75#14582857C2212yes—
76C2×#13063236C2211yescharacteristic
77C43×#533C2211yescharacteristic
78C2×C4×Q8×C43C2211yescharacteristic
79C43×#479C2214yescomplemented
80C43×#477C2212yescomplemented
81C43×#475C2212yescomplemented
82C43×#428C2212yes—
83C43×#423C2211yescharacteristic
84C43×#419C2212yes—
85C2×#10621898C2312yes—
86C2×Q8×D43—22no—
87C22×D172C2311yescharacteristic
88C22×C4×D43—21no—
89#13063353—28no—
90C2×#10621873C2314yes—
91C2×#10621884—24no—
92C2×#10621884C2314yes—
93C2×D344C2314yes—
94C22×C43⋊C8C2311yescharacteristic
95C22×C43⋊C8C2311yescharacteristic
96#13063325—22no—
97#13063325D411yescharacteristic
98#13063325D411yescharacteristic
99#13063325C2311yescharacteristic
100#13063324C2314yes—
101#13063323C2314yes—
102#13063322C2311yescharacteristic
103#13063320—24no—
104#13063319—24no—
105#13063317—22no—
106#13063317—22no—
107#13063317D412yes—
108#13063316C2314yes—
109#13063315—24no—
110#13063314C2314yes—
111#13063313—22no—
112#13063313C2312yes—
113#13063310—24no—
114#13063308—24no—
115#13063305—22no—
116#13063305—24no—
117#13063304D412yes—
118#13063304D412yes—
119#13063303—24no—
120#13063303—24no—
121#13063303—24no—
122#13063303—24no—
123#13063302—24no—
124#13063301—22no—
125#13063301—22no—
126#13063301—22no—
127#13063301—24no—
128#13063299—21no—
129#13063299—21no—
130C4×Dic86—22no—
131C4×Dic86C2312yes—
132C4×Dic86C2312yes—
133#13063290C2314yes—
134C4×D172—21no—
135C4×D172—21no—
136C4×D172—21no—
137C4×D172—21no—
138C4×D172—22no—
139C4×D172—22no—
140C4×D172—22no—
141C4×D172C2312yes—
142C4×D172C2312yes—
143#13063287C2314yes—
144#13063287C2314yes—
145#13063287C2314yes—
146C4×C22⋊D43—24no—
147#13063284C2312yes—
148#13063283—22no—
149#13063282—24no—
150C2×C4⋊Dic43C2311yescharacteristic
151C4⋊C4×D43—22no—
152C4⋊C4×D43—22no—
153C4⋊C4×D43—24no—
154C2×(C2×D43)⋊C4—21no—
155C22⋊C4×D43—24no—
156#13063258C2314yes—
157Dic43⋊C8C2314yes—
158Dic43⋊C8C2314yes—
159#13063250C2314yes—
160#13063249C2314yes—
161#13063248C2312yes—
162#13063248C2312yes—
163#13063248C2312yes—
164#13063248C2312yes—
165#13063247C2314yes—
166#13063245C2312yes—
167#13063245C2312yes—
168#13063245C2314yes—
169#13063245C2312yes—
170#13063245C2312yes—
171#13063236C2312yes—
172#13063236C2312yes—
173#13063235C2314yes—
174C8×Dic43C2314yes—
175C22×Q8×C43C2311yescharacteristic
176C2×M16×C43C2312yes—
177C4⋊Q8×C43C2311yescharacteristic
178C4⋊Q8×C43C2311yescharacteristic
179#125×C43C2312yes—
180C22⋊Q8×C43—21no—
181C22⋊Q8×C43—21no—
182C4×Q8×C43—21no—
183C4×Q8×C43—21no—
184C4×Q8×C43—21no—
185C4×Q8×C43—21no—
186C4×Q8×C43C2312yes—
187C4×Q8×C43C2312yes—
188#117×C43C2312yes—
189C2×C4⋊C4×C43—21no—
190C2×C4⋊C4×C43C2311yescharacteristic
191C2×C42×C43—21no—
192C2×C42×C43C2311yescharacteristic
193#107×C43C2314yes—
194#106×C43C2314yes—
195C4⋊C8×C43C2312yes—
196C4⋊C8×C43C2312yes—
197#103×C43C2314yes—
198#103×C43C2314yes—
199C23×D43—21no—
200C2×Q8×C43—21no—
201C2×Q8×C43—21no—
202C2×Q8×C43—21no—
203C2×Q8×C43—22no—
204C2×Q8×C43—22no—
205C2×Q8×C43C2412yes—
206C22×C4×C43—21no—
207C22×C4×C43—21no—
208C22×C4×C43C2×D411yescharacteristic
209C22×C4×C43C2×D411yescharacteristic
210C22×C4×C43C2411yescharacteristic
211C2×C22⋊D43—22no—
212C22×Dic43—21no—
213Q8×D43—84no—
214#10621898—24no—
215#10621898—24no—
216C2×D172—21no—
217C2×D172—22no—
218C2×D172—21no—
219C2×D172—21no—
220C2×D172#4114yes—
221C2×D172C2412yes—
222C2×D172C2412yes—
223C2×C4×D43—22no—
224C2×C4×D43—22no—
225C2×C4×D43—22no—
226C2×C4×D43—24no—
227C2×C4×D43—24no—
228C2×C4×D43—24no—
229C2×C4×D43—82no—
230C2×Dic86—24no—
231C2×Dic86C2×D412yes—
232C2×Dic86C2×D412yes—
233C2×Dic86C2412yes—
234M16×C43—24no—
235C2×C8×C43C2414yes—
236C4⋊C4×C43—22no—
237C4⋊C4×C43—22no—
238C4⋊C4×C43—21no—
239C4⋊C4×C43—22no—
240C4⋊C4×C43—22no—
241C4⋊C4×C43—21no—
242C4⋊C4×C43—21no—
243C4⋊C4×C43C2412yes—
244C4⋊C4×C43C2412yes—
245C4⋊C4×C43C2412yes—
246C22⋊C4×C43—22no—
247C42×C43—22no—
248C42×C43—22no—
249C42×C43—22no—
250C42×C43C2×D411yescharacteristic
251C42×C43C2×D411yescharacteristic
252C42×C43C2411yescharacteristic
253C42×C43C2411yescharacteristic
254C22⋊Dic43C2×D414yes—
255#10621884—28no—
256(C2×D43)⋊C4—22no—
257(C2×D43)⋊C4—22no—
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—
265C4⋊Dic43—21no—
266C4⋊Dic43—21no—
267C4⋊Dic43—21no—
268C4⋊Dic43—24no—
269C4⋊Dic43C2×D412yes—
270C4⋊Dic43C2×D412yes—
271C4⋊Dic43C2×D412yes—
272C4⋊Dic43C2×D412yes—
273C4⋊Dic43C2412yes—
274Dic43⋊C4—24no—
275Dic43⋊C4—24no—
276Dic43⋊C4—24no—
277Dic43⋊C4—24no—
278Dic43⋊C4—24no—
279Dic43⋊C4C2×D414yes—
280Dic43⋊C4C2×D414yes—
281C4×Dic43—24no—
282C4×Dic43C2414yes—
283C2×C43⋊C8—22no—
284C2×C43⋊C8—22no—
285C2×C43⋊C8C2412yes—
286C2×C43⋊C8C2412yes—
287D344—28no—
288#10621873—28no—
289C23×C43C22×D411yescharacteristic
290C22×D43—22no—
291C22×D43—24no—
292C22×D43—22no—
293C22×D43—81no—
294C22×D43—81no—
295Q8×C43—22no—
296Q8×C43—22no—
297Q8×C43—42no—
298Q8×C43—42no—
299Q8×C43—81no—
300C2×C4×C43—22no—
301C2×C4×C43—22no—
302C2×C4×C43—22no—
303C2×C4×C43—22no—
304C2×C4×C43—41no—
305C2×C4×C43—41no—
306C2×C4×C43—42no—
307C2×C4×C43—81no—
308C2×C4×C43C22×D411yescharacteristic
309C2×C4×C43C22×D411yescharacteristic
310C2×C4×C43C22×D411yescharacteristic
311C2×C4×C43C22×D411yescharacteristic
312C2×C4×C43C22×D411yescharacteristic
313C2×C4×C43C2×#4112yes—
314C2×C4×C432−1+412yes—
315C2×C4×C43C2511yescharacteristic
316C22⋊D43—44no—
317C2×Dic43—22no—
318C2×Dic43—22no—
319C2×Dic43—81no—
320C2×Dic43C22×D414yes—
321C2×Dic43C22×D414yes—
322D172—24no—
323D172—22no—
324D172—22no—
325D172—22no—
326D172—42no—
327D172—81no—
328D172C2×#4114yes—
329C4×D43—44no—
330C4×D43—44no—
331C4×D43—84no—
332C4×D43—84no—
333C4×D43—84no—
334C4×D43—82no—
335Dic86—22no—
336Dic86—22no—
337Dic86—42no—
338Dic86—42no—
339Dic86—84no—
340C8×C43—24no—
341C43⋊C8—22no—
342C43⋊C8—22no—
343#61333—431nomaximal, Sylow
344C22×C43—21no—
345C22×C43—21no—
346C22×C43#54812yes—
347C22×C43C23×D411yescharacteristic
348C2×D43—24no—
349C2×D43—42no—
350C2×D43—42no—
351C2×D43—42no—
352C2×D43—42no—
353C2×D43—42no—
354C2×D43—84no—
355C4×C43—21no—
356C4×C43—21no—
357C4×C43—21no—
358C4×C43—21no—
359C4×C43—42no—
360C4×C43—42no—
361C4×C43—42no—
362C4×C43—42no—
363C4×C43#54812yes—
364C4×C43C22×#4111yescharacteristic
365C4×C43C2×2−1+411yescharacteristic
366Dic43—24no—
367Dic43—24no—
368Dic43—42no—
369Dic43—42no—
370#3507—431no—
371#3501—431no—
372#3376—434no—
373#3372—434no—
374#3370—434no—
375#3367—434no—
376#3137—432no—
377#3135—431no—
378#3083—432no—
379#3078D4311yescharacteristic, complemented
380#3042—432no—
381#3036—431no—
382#2961—431no—
383#2946—432no—
384C2×#440—431no—
385C2×C43—22no—
386C2×C43C2×#54811yescharacteristic
387C2×C43#358511yescharacteristic
388C2×C43#358611yescharacteristic
389D43—44no—
390D43—82no—
391C2×AGL(1,ℤ/8)—432no—
392C22×SD16—431no—
393#559—432no—
394#557—432no—
395#556—434no—
396#556—861no—
397#554—432no—
398#554—434no—
399#554—862no—
400#554—861no—
401#554—861no—
402#552—862no—
403D4×Q8—432no—
404D4×Q8—861no—
405#544—432no—
406#543—862no—
407#539—862no—
408#536—432no—
409#533—431no—
410#533C2×D4311yescharacteristic
411#532—431no—
412#529—862no—
413C2×C22⋊Q8—862no—
414#520—432no—
415#518—432no—
416C2×C4×Q8C2×D4311yescharacteristic
417C2×C4×D4—431no—
418#491—432no—
419#491—434no—
420#490—432no—
421#489—432no—
422#489—432no—
423#489—434no—
424#488—434no—
425#487—434no—
426#479—434no—
427#479C2×D4314yescomplemented
428#478—434no—
429#477—434no—
430#477C2×D4312yescomplemented
431#475C2×D4312yescomplemented
432#474—434no—
433#463—434no—
434#463—434no—
435#463—434no—
436#461—432no—
437#461—434no—
438#461—434no—
439#459—432no—
440#446—434no—
441#446—434no—
442#442—434no—
443#440—434no—
444#440—434no—
445#440—434no—
446C4×SD16—434no—
447C4×D8—434no—
448#428C2×D4312yes—
449C2×#107—431no—
450#424—432no—
451#423C2×D4311yescharacteristic
452#419C2×D4312yes—
453#417—432no—
454#416—432no—
455#416—432no—
456C2×#103—431no—
457C2×#102—431no—
458#405—432no—
459C2×#97—431no—
460C43#6133311yescharacteristic, complemented, Sylow
461C2×#41—432no—
462C22×Q8—862no—
463C22×Q8C22×D4311yescharacteristic
464C22×D4—431no—
465C23×C4—861no—
466AGL(1,ℤ/8)—868no—
467C2×SD16—434no—
468C2×SD16—434no—
469C2×SD16—864no—
470C2×D8—434no—
471C2×M16C22×D4312yes—
472C22×C8—431no—
473C22×C8—431no—
474C4⋊Q8—434no—
475C4⋊Q8—434no—
476C4⋊Q8—431no—
477C4⋊Q8—431no—
478C4⋊Q8—431no—
479C4⋊Q8—862no—
480C4⋊Q8C22×D4311yescharacteristic
481C4⋊Q8C22×D4311yescharacteristic
482#127—431no—
483#126—864no—
484#126—864no—
485#125—434no—
486#125—432no—
487#125—862no—
488#125—862no—
489#125—864no—
490#125C22×D4312yes—
491#124—434no—
492#124—432no—
493#124—862no—
494#123—864no—
495#123—864no—
496C22⋊Q8—21no—
497C22⋊Q8—21no—
498C22⋊Q8—432no—
499C22⋊Q8—432no—
500C22⋊Q8—864no—
501C22⋊Q8—864no—
502C22⋊Q8—864no—
503C22⋊Q8—864no—
504C22⋊Q8—862no—
505C22⋊Q8—864no—
506C22⋊Q8—864no—
507C22⋊Q8—862no—
508C22⋊Q8—862no—
509C22⋊Q8—862no—
510C22⋊Q8—864no—
511#121—861no—
512#121—861no—
513C4×Q8—21no—
514C4×Q8—21no—
515C4×Q8—21no—
516C4×Q8—21no—
517C4×Q8—432no—
518C4×Q8—432no—
519C4×Q8—434no—
520C4×Q8—862no—
521C4×Q8C22×D4312yes—
522C4×Q8C22×D4312yes—
523C4×D4—434no—
524C4×D4—434no—
525C4×D4—434no—
526C4×D4—432no—
527C4×D4—432no—
528C4×D4—862no—
529C4×D4—862no—
530C4×D4—862no—
531C4×D4—864no—
532C4×D4—861no—
533C4×D4—861no—
534C4×D4—861no—
535C4×D4—861no—
536#117—432no—
537#117—864no—
538#117—862no—
539#117C22×D4312yes—
540C2×C4⋊C4—21no—
541C2×C4⋊C4—431no—
542C2×C4⋊C4—862no—
543C2×C4⋊C4—864no—
544C2×C4⋊C4—862no—
545C2×C4⋊C4C22×D4311yescharacteristic
546C2×C22⋊C4—864no—
547C2×C22⋊C4—861no—
548C2×C42—21no—
549C2×C42C22×D4311yescharacteristic
550#107—434no—
551#107C22×D4314yes—
552#106C22×D4314yes—
553C4⋊C8—434no—
554C4⋊C8—434no—
555C4⋊C8C22×D4312yes—
556C4⋊C8C22×D4312yes—
557#103—434no—
558#103—434no—
559#103—432no—
560#103—432no—
561#103—432no—
562#103—432no—
563#103C22×D4314yes—
564#103C22×D4314yes—
565#102—434no—
566#102—434no—
567#102—432no—
568#102—432no—
569#102—432no—
570#102—432no—
571#97—434no—
572#97—432no—
573#97—432no—
574C4×C8—434no—
575C24—861no—
576#41—864no—
577#41—864no—
578C2×Q8—21no—
579C2×Q8—21no—
580C2×Q8—21no—
581C2×Q8—22no—
582C2×Q8—22no—
583C2×Q8—432no—
584C2×Q8—432no—
585C2×Q8—432no—
586C2×Q8—864no—
587C2×Q8—3444no—
588C2×Q8C23×D4312yes—
589C2×D4—434no—
590C2×D4—432no—
591C2×D4—432no—
592C2×D4—862no—
593C2×D4—861no—
594C2×D4—861no—
595C2×D4—861no—
596C2×D4—862no—
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—864no—
600C22×C4—864no—
601C22×C4—864no—
602C22×C4—861no—
603C22×C4—862no—
604C22×C4—862no—
605C22×C4—862no—
606C22×C4—3442no—
607C22×C4D4×D4311yescharacteristic
608C22×C4D4×D4311yescharacteristic
609C22×C4C23×D4311yescharacteristic
610SD16—868no—
611SD16—868no—
612D8—868no—
613M16—24no—
614C2×C8—432no—
615C2×C8—432no—
616C2×C8—862no—
617C2×C8—862no—
618C2×C8C23×D4314yes—
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—434no—
628C4⋊C4—432no—
629C4⋊C4—432no—
630C4⋊C4—434no—
631C4⋊C4—432no—
632C4⋊C4—432no—
633C4⋊C4—864no—
634C4⋊C4—864no—
635C4⋊C4—864no—
636C4⋊C4—864no—
637C4⋊C4—864no—
638C4⋊C4—864no—
639C4⋊C4—861no—
640C4⋊C4—861no—
641C4⋊C4—861no—
642C4⋊C4C23×D4312yes—
643C4⋊C4C23×D4312yes—
644C4⋊C4C23×D4312yes—
645C22⋊C4—22no—
646C22⋊C4—434no—
647C22⋊C4—864no—
648C22⋊C4—864no—
649C22⋊C4—864no—
650C22⋊C4—864no—
651C22⋊C4—864no—
652C22⋊C4—862no—
653C22⋊C4—862no—
654C22⋊C4—862no—
655C22⋊C4—862no—
656C42—22no—
657C42—22no—
658C42—22no—
659C42—434no—
660C42—864no—
661C42D4×D4311yescharacteristic
662C42D4×D4311yescharacteristic
663C42C23×D4311yescharacteristic
664C42C23×D4311yescharacteristic
665C23—864no—
666C23—862no—
667C23—862no—
668C23—3441no—
669C23—3441no—
670C23C2×D4×D4311yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—42no—
674Q8—42no—
675Q8—81no—
676Q8—862no—
677Q8—862no—
678Q8—3444no—
679Q8—1722no—
680Q8—1722no—
681D4—434no—
682D4—864no—
683D4—862no—
684D4—862no—
685D4—862no—
686D4—3441no—
687D4—1722no—
688D4—1724no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—81no—
697C2×C4—434no—
698C2×C4—434no—
699C2×C4—862no—
700C2×C4—862no—
701C2×C4—3442no—
702C2×C4—3444no—
703C2×C4—3444no—
704C2×C4—3444no—
705C2×C4—3441no—
706C2×C4—1724no—
707C2×C4—1724no—
708C2×C4C2×D4×D4311yescharacteristic
709C2×C4C2×D4×D4311yescharacteristic
710C2×C4C2×D4×D4311yescharacteristic
711C2×C4C2×D4×D4311yescharacteristic
712C2×C4C2×D4×D4311yescharacteristic
713C2×C4#41×D4312yes—
714C2×C4#1306337312yes—
715C2×C4C24×D4311yescharacteristic
716C8—24no—
717C8—862no—
718C8—862no—
719C22—21no—
720C22—21no—
721C22—864no—
722C22—3444no—
723C22—1722no—
724C22—1722no—
725C22—1722no—
726C22—1722no—
727C22—1722no—
728C22#1458355912yes—
729C22C22×D4×D4311yescharacteristic
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—864no—
739C4—864no—
740C4—1722no—
741C4—1722no—
742C4#1458355912yes—
743C4C2×#41×D4311yescharacteristic
744C4C2×#1306337311yescharacteristic
745C2—22no—
746C2—3442no—
747C2—1724no—
748C2C2×#1458355911yescharacteristic
749C2#1914937211yescharacteristic
750C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3078C2
socleC22×C43C23×D4
prime radical#19144061C2
hypercenter#3078D43
hypocenterC43#61333
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3078

Complements

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

NH ≅ G/Ntype
1. #19148460C2semidirect
2. #19148396C2semidirect
3. #19147429C2semidirect
4. #19147379C2semidirect
5. #19147351C2semidirect
6. #19147316C2semidirect
7. #19144956C2semidirect
8. #19144943C2semidirect
9. #19144445C2semidirect
10. #19144106C2semidirect
12. #19143532C2semidirect
13. #19143425C2semidirect
14. C2×#14582997C2semidirect
15. C43×#3078C2semidirect
18. #14583634C22semidirect
19. #14583627C22semidirect
21. #14583621C22semidirect
41. #14583269C22semidirect
42. #14583266C22semidirect
43. #14583265C22semidirect
44. #14583261C22semidirect
45. #14583261C22semidirect
46. #14583260C22semidirect
47. #14583255C22semidirect
48. #14583248C22semidirect
49. #14583209C22semidirect
50. #14583198C22semidirect
51. #14583193C22semidirect
52. #14583178C22semidirect
60. #14583028C22semidirect
61. #14583028C22semidirect
79. C43×#479C22semidirect
80. C43×#477C22semidirect
81. C43×#475C22semidirect
379. #3078D43semidirect
427. #479C2×D43semidirect
430. #477C2×D43semidirect
431. #475C2×D43semidirect
460. C43#61333semidirect

Maximal subgroups

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

subgroupindex
#191484602
#191483962
#191474292
#191473792
#191473512
#191473162
#191449562
#191449432
#191444452
#191441062
#191440612
#191435322
#191434252
C2×#145829972
C43×#30782
#6133343