Finite Group Databasebeta

← #25976695

Subgroups — #25976695

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#19148457C211yesmaximal, characteristic, complemented
2#19148396C211yesmaximal, characteristic, complemented
3#19147421C214yesmaximal, complemented
4#19147373C214yesmaximal, complemented
5#19147343C214yesmaximal, complemented
6#19147310C214yesmaximal, complemented
7#19144964C212yesmaximal, complemented
8#19144444C212yesmaximal, complemented
9#19144396C211yesmaximal, characteristic, complemented
10#19144110C212yesmaximal, complemented
11#19144055C211yesmaximal, characteristic
12#19143535C211yesmaximal, characteristic, complemented
13#19143430C212yesmaximal, complemented
14C2×#14583001C211yesmaximal, characteristic, complemented
15C43×#3135C211yesmaximal, characteristic, complemented
16C2×#13063350C2212yes—
17C22×#10621873C2211yescharacteristic
18#14583635C2212yescomplemented
19#14583624C2212yescomplemented
20#14583619—21no—
21#14583618C2214yescomplemented
22#14583610C2212yes—
23#14583609—21no—
24#14583609—22no—
25#14583606—21no—
26#14583605C2214yes—
27#14583589—22no—
28Q8×D172—21no—
29#14583564C2212yes—
30#14583527C2212yes—
31#14583524—22no—
32#14583494—22no—
33#14583470C2212yes—
34#14583456C2211yescharacteristic
35#14583430—22no—
36C22⋊Q8×D43—22no—
37#14583382C2212yes—
38#14583373C2212yes—
39C2×C4×Dic86C2211yescharacteristic
40C2×C4×D172C2211yescharacteristic
41#14583266C2214yescomplemented
42#14583257C2214yescomplemented
43#14583252C2214yescomplemented
44#14583248C2214yescomplemented
45#14583208C2214yescomplemented
46#14583203C2214yescomplemented
47#14583197C2214yescomplemented
48#14583192C2214yescomplemented
49#14583191C2212yescomplemented
50#14583181C2212yescomplemented
51#14583177C2214yescomplemented
52#14583113C2214yes—
53#14583113C2214yes—
54#14583111C2214yes—
55#14583103C2214yes—
56#14583103C2214yes—
57#14583101C2212yes—
58#14583091C2212yes—
59#14583027C2214yescomplemented
60#14583027C2214yescomplemented
61#14583008C2214yes—
62#14583002C2214yes—
63#14583001C2214yes—
64#14583001C2214yes—
65#14582984C2214yes—
66#14582979C2214yes—
67#14582942C2212yes—
68C2×#13063259C2211yescharacteristic
69#14582925C2212yes—
70#14582923C2211yescharacteristic
71#14582907C2212yes—
72#14582900C2212yes—
73C2×#13063250C2211yescharacteristic
74C2×#13063247C2211yescharacteristic
75#14582854C2212yes—
76C43×#533C2211yescharacteristic
77C43×#532C2211yescharacteristic
78C43×#491C2212yescomplemented
79C43×#490C2212yescomplemented
80C43×#489C2212yescomplemented
81C43×#489C2212yescomplemented
82C43×#416C2212yes—
83C43×#416C2212yes—
84C2×#97×C43C2211yescharacteristic
85C22×Dic86C2311yescharacteristic
86C2×Q8×D43—22no—
87C22×D172C2311yescharacteristic
88C22×C4×D43—21no—
89#13063350—28no—
90C2×#10621873—24no—
91C2×#10621873C2314yes—
92C2×#10621884C2314yes—
93C2×#10621882C2314yes—
94C2×#10621877C2312yes—
95#13063325—22no—
96#13063325D411yescharacteristic
97#13063325D411yescharacteristic
98#13063324C2314yes—
99#13063323C2314yes—
100#13063318—24no—
101#13063318—24no—
102#13063317—22no—
103#13063317D412yes—
104#13063316—22no—
105#13063316C2314yes—
106#13063315—24no—
107#13063312—22no—
108#13063312C2314yes—
109#13063306—24no—
110#13063306—24no—
111#13063305—22no—
112#13063305—24no—
113#13063304—22no—
114#13063304—22no—
115#13063304D412yes—
116#13063304D412yes—
117#13063303—24no—
118#13063303—24no—
119#13063303—24no—
120#13063302—24no—
121#13063302—24no—
122#13063301—22no—
123#13063301—24no—
124Q8×Dic43C2314yes—
125C4×Dic86—21no—
126C4×Dic86—21no—
127C4×Dic86C2312yes—
128C4×Dic86C2312yes—
129C4×Dic86C2312yes—
130C4×Dic86C2312yes—
131#13063290—22no—
132C4×D172—21no—
133C4×D172—21no—
134C4×D172—22no—
135C4×D172—22no—
136C4×D172C2312yes—
137C4×D172C2312yes—
138D4×Dic43—24no—
139D4×Dic43—22no—
140D4×Dic43C2314yes—
141#13063287C2314yes—
142#13063287C2314yes—
143#13063284—22no—
144#13063284C2312yes—
145#13063281—24no—
146C2×C4⋊Dic43—22no—
147C2×C4⋊Dic43C2311yescharacteristic
148C2×C4⋊Dic43C2311yescharacteristic
149C2×Dic43⋊C4—21no—
150C4⋊C4×D43—22no—
151C4⋊C4×D43—24no—
152C2×(C2×D43)⋊C4—21no—
153C22⋊C4×D43—24no—
154C2×C4×Dic43—21no—
155#13063259C2314yes—
156#13063258C2314yes—
157#13063256C2314yes—
158C4⋊(C43⋊C8)C2312yes—
159C4⋊(C43⋊C8)C2312yes—
160Dic43⋊C8C2314yes—
161Dic43⋊C8C2314yes—
162#13063250C2314yes—
163#13063249C2314yes—
164#13063248C2314yes—
165#13063248C2314yes—
166#13063247C2314yes—
167#13063246C2314yes—
168#13063235C2314yes—
169C8×Dic43C2314yes—
170C2×#41×C43C2312yes—
171C22×C8×C43C2311yescharacteristic
172C22×C8×C43C2311yescharacteristic
173C4⋊Q8×C43C2311yescharacteristic
174C4⋊Q8×C43C2311yescharacteristic
175C4⋊Q8×C43C2311yescharacteristic
176#127×C43C2311yescharacteristic
177#125×C43C2312yes—
178#124×C43C2312yes—
179C22⋊Q8×C43—21no—
180C22⋊Q8×C43—21no—
181#121×C43—21no—
182#121×C43—21no—
183C4×Q8×C43—21no—
184C4×Q8×C43—21no—
185C4×D4×C43—21no—
186C4×D4×C43—21no—
187#117×C43C2312yes—
188C2×C42×C43C2311yescharacteristic
189#103×C43C2312yes—
190#103×C43C2312yes—
191#103×C43C2312yes—
192#103×C43C2312yes—
193#102×C43C2312yes—
194#102×C43C2312yes—
195#102×C43C2312yes—
196#102×C43C2312yes—
197#97×C43C2312yes—
198#97×C43C2312yes—
199C23×D43—21no—
200#41×C43—24no—
201#41×C43—24no—
202C2×Q8×C43—21no—
203C2×Q8×C43—21no—
204C2×Q8×C43C2412yes—
205C2×D4×C43—21no—
206C2×D4×C43—21no—
207C2×D4×C43—22no—
208C2×D4×C43C2412yes—
209C22×C4×C43—22no—
210C22×C4×C43C2×D411yescharacteristic
211C22×C4×C43C2×D411yescharacteristic
212C22×C4×C43C2411yescharacteristic
213C22×Dic43—24no—
214C22×Dic43—21no—
215C22×Dic43—21no—
216C22×Dic43—21no—
217Q8×D43—84no—
218C2×D172—21no—
219C2×D172—22no—
220C2×D172#4114yes—
221C2×D172C2412yes—
222C2×C4×D43—22no—
223C2×C4×D43—22no—
224C2×C4×D43—24no—
225C2×C4×D43—24no—
226C2×C4×D43—82no—
227C2×Dic86—22no—
228C2×Dic86—22no—
229C2×Dic86—21no—
230C2×Dic86—24no—
231C2×Dic86C2×D412yes—
232C2×Dic86C2×D412yes—
233C2×Dic86C2412yes—
234C2×C8×C43—22no—
235C2×C8×C43—22no—
236C2×C8×C43C2412yes—
237C2×C8×C43C2412yes—
238C4⋊C4×C43—21no—
239C4⋊C4×C43—21no—
240C4⋊C4×C43—22no—
241C4⋊C4×C43—22no—
242C4⋊C4×C43—21no—
243C4⋊C4×C43—21no—
244C4⋊C4×C43C2412yes—
245C4⋊C4×C43C2412yes—
246C22⋊C4×C43—22no—
247C22⋊C4×C43—22no—
248C22⋊C4×C43—22no—
249C42×C43—22no—
250C42×C43C2×D411yescharacteristic
251C42×C43C2×D411yescharacteristic
252C42×C43C2411yescharacteristic
253C42×C43C2411yescharacteristic
254C22⋊Dic43—24no—
255C22⋊Dic43—24no—
256C22⋊Dic43—24no—
257C22⋊Dic43C2×D414yes—
258#10621884—28no—
259#10621882—28no—
260(C2×D43)⋊C4—22no—
261(C2×D43)⋊C4—22no—
262(C2×D43)⋊C4—24no—
263(C2×D43)⋊C4—24no—
264C4⋊Dic43—21no—
265C4⋊Dic43—21no—
266C4⋊Dic43—24no—
267C4⋊Dic43—24no—
268C4⋊Dic43C2×D412yes—
269C4⋊Dic43C2×D412yes—
270C4⋊Dic43C2×D412yes—
271C4⋊Dic43C2×D412yes—
272C4⋊Dic43C2412yes—
273C4⋊Dic43C2412yes—
274Dic43⋊C4—22no—
275Dic43⋊C4—22no—
276Dic43⋊C4—24no—
277Dic43⋊C4—24no—
278Dic43⋊C4—24no—
279Dic43⋊C4—24no—
280Dic43⋊C4C2×D414yes—
281Dic43⋊C4C2×D414yes—
282C4×Dic43—22no—
283C4×Dic43—22no—
284C4×Dic43—24no—
285C4×Dic43C2414yes—
286#10621877—24no—
287C2×C43⋊C8C2414yes—
288#10621873—28no—
289C23×C43—22no—
290C23×C43C22×D411yescharacteristic
291C22×D43—22no—
292C22×D43—24no—
293C22×D43—81no—
294C22×D43—81no—
295Q8×C43—22no—
296Q8×C43—22no—
297Q8×C43—42no—
298Q8×C43—81no—
299D4×C43—22no—
300D4×C43—22no—
301D4×C43—42no—
302D4×C43—44no—
303D4×C43—81no—
304C2×C4×C43—22no—
305C2×C4×C43—22no—
306C2×C4×C43—22no—
307C2×C4×C43—41no—
308C2×C4×C43—41no—
309C2×C4×C43—44no—
310C2×C4×C43C22×D411yescharacteristic
311C2×C4×C43C22×D411yescharacteristic
312C2×C4×C43C22×D411yescharacteristic
313C2×C4×C43C22×D411yescharacteristic
314C2×C4×C43C22×D411yescharacteristic
315C2×C4×C43C2×#4112yes—
316C2×C4×C432−1+412yes—
317C2×C4×C43C2511yescharacteristic
318C2×Dic43—22no—
319C2×Dic43—22no—
320C2×Dic43—22no—
321C2×Dic43—42no—
322C2×Dic43—84no—
323C2×Dic43—81no—
324C2×Dic43—81no—
325C2×Dic43C22×D414yes—
326C2×Dic43C22×D414yes—
327D172—24no—
328D172—22no—
329D172C2×#4114yes—
330C4×D43—44no—
331C4×D43—84no—
332C4×D43—84no—
333C4×D43—82no—
334Dic86—22no—
335Dic86—22no—
336Dic86—42no—
337Dic86—42no—
338Dic86—42no—
339Dic86—84no—
340C8×C43—22no—
341C8×C43—22no—
342C43⋊C8—24no—
343#61333—431nomaximal, Sylow
344C22×C43—21no—
345C22×C43—21no—
346C22×C43—42no—
347C22×C43—42no—
348C22×C43—42no—
349C22×C43#54812yes—
350C22×C43C23×D411yescharacteristic
351C2×D43—24no—
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#54812yes—
363C4×C43C22×#4111yescharacteristic
364C4×C43C2×2−1+411yescharacteristic
365Dic43—24no—
366Dic43—24no—
367Dic43—42no—
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#3135D4311yescharacteristic, complemented
378#3083—432no—
379#3078—431no—
380#3042—432no—
381#3036—431no—
382#2961—431no—
383#2946—432no—
384C2×#440—431no—
385C2×C43—22no—
386C2×C43—82no—
387C2×C43C2×#54811yescharacteristic
388C2×C43#358511yescharacteristic
389C2×C43#358611yescharacteristic
390D43—44no—
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—861no—
400#554—862no—
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#532C2×D4311yescharacteristic
412#529—862no—
413C2×C22⋊Q8—862no—
414#520—432no—
415#518—432no—
416C2×C4×Q8—431no—
417C2×C4×D4—431no—
418#491—434no—
419#491C2×D4312yescomplemented
420#490C2×D4312yescomplemented
421#489—434no—
422#489C2×D4312yescomplemented
423#489C2×D4312yescomplemented
424#488—434no—
425#487—434no—
426#479—434no—
427#479—434no—
428#478—434no—
429#477—432no—
430#477—434no—
431#475—432no—
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#428—432no—
449C2×#107—431no—
450#424—432no—
451#423—431no—
452#419—432no—
453#417—432no—
454#416C2×D4312yes—
455#416C2×D4312yes—
456C2×#103—431no—
457C2×#102—431no—
458#405—432no—
459C2×#97C2×D4311yescharacteristic
460C43#6133311yescharacteristic, complemented, Sylow
461C2×#41C22×D4312yes—
462C22×Q8—431no—
463C22×Q8—862no—
464C22×D4—431no—
465C23×C4—861no—
466AGL(1,ℤ/8)—868no—
467C2×SD16—434no—
468C2×SD16—434no—
469C2×SD16—864no—
470C2×D8—434no—
471C2×M16—432no—
472C22×C8C22×D4311yescharacteristic
473C22×C8C22×D4311yescharacteristic
474C4⋊Q8—434no—
475C4⋊Q8—434no—
476C4⋊Q8—431no—
477C4⋊Q8—431no—
478C4⋊Q8—862no—
479C4⋊Q8C22×D4311yescharacteristic
480C4⋊Q8C22×D4311yescharacteristic
481C4⋊Q8C22×D4311yescharacteristic
482#127C22×D4311yescharacteristic
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—862no—
493#124C22×D4312yes—
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—864no—
505C22⋊Q8—862no—
506C22⋊Q8—864no—
507C22⋊Q8—862no—
508C22⋊Q8—862no—
509C22⋊Q8—862no—
510C22⋊Q8—864no—
511#121—21no—
512#121—21no—
513C4×Q8—21no—
514C4×Q8—21no—
515C4×Q8—432no—
516C4×Q8—432no—
517C4×Q8—434no—
518C4×Q8—432no—
519C4×Q8—432no—
520C4×Q8—862no—
521C4×Q8—861no—
522C4×Q8—861no—
523C4×D4—21no—
524C4×D4—21no—
525C4×D4—434no—
526C4×D4—434no—
527C4×D4—434no—
528C4×D4—432no—
529C4×D4—432no—
530C4×D4—862no—
531C4×D4—862no—
532C4×D4—864no—
533C4×D4—862no—
534C4×D4—861no—
535C4×D4—861no—
536#117—432no—
537#117—864no—
538#117—862no—
539#117C22×D4312yes—
540C2×C4⋊C4—431no—
541C2×C4⋊C4—431no—
542C2×C4⋊C4—864no—
543C2×C4⋊C4—862no—
544C2×C4⋊C4—862no—
545C2×C4⋊C4—861no—
546C2×C22⋊C4—864no—
547C2×C22⋊C4—861no—
548C2×C42—861no—
549C2×C42C22×D4311yescharacteristic
550#107—434no—
551#107—434no—
552#106—434no—
553C4⋊C8—434no—
554C4⋊C8—434no—
555C4⋊C8—432no—
556C4⋊C8—432no—
557#103—434no—
558#103—434no—
559#103—434no—
560#103—434no—
561#103C22×D4312yes—
562#103C22×D4312yes—
563#103C22×D4312yes—
564#103C22×D4312yes—
565#102—434no—
566#102—434no—
567#102C22×D4312yes—
568#102C22×D4312yes—
569#102C22×D4312yes—
570#102C22×D4312yes—
571#97—434no—
572#97C22×D4312yes—
573#97C22×D4312yes—
574C4×C8—434no—
575C24—861no—
576#41—24no—
577#41—24no—
578C2×Q8—21no—
579C2×Q8—21no—
580C2×Q8—432no—
581C2×Q8—432no—
582C2×Q8—432no—
583C2×Q8—864no—
584C2×Q8—861no—
585C2×Q8—862no—
586C2×Q8—862no—
587C2×Q8—3444no—
588C2×Q8C23×D4312yes—
589C2×D4—22no—
590C2×D4—21no—
591C2×D4—21no—
592C2×D4—434no—
593C2×D4—432no—
594C2×D4—861no—
595C2×D4—862no—
596C2×D4C23×D4312yes—
597C22×C4—22no—
598C22×C4—864no—
599C22×C4—864no—
600C22×C4—864no—
601C22×C4—861no—
602C22×C4—861no—
603C22×C4—861no—
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—864no—
614C2×C8—22no—
615C2×C8—22no—
616C2×C8—434no—
617C2×C8C23×D4312yes—
618C2×C8C23×D4312yes—
619C4⋊C4—22no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—22no—
624C4⋊C4—21no—
625C4⋊C4—432no—
626C4⋊C4—434no—
627C4⋊C4—432no—
628C4⋊C4—432no—
629C4⋊C4—434no—
630C4⋊C4—432no—
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—862no—
642C4⋊C4—862no—
643C4⋊C4C23×D4312yes—
644C4⋊C4C23×D4312yes—
645C22⋊C4—22no—
646C22⋊C4—22no—
647C22⋊C4—22no—
648C22⋊C4—434no—
649C22⋊C4—864no—
650C22⋊C4—864no—
651C22⋊C4—864no—
652C22⋊C4—864no—
653C22⋊C4—864no—
654C22⋊C4—862no—
655C22⋊C4—862no—
656C42—22no—
657C42—434no—
658C42—864no—
659C42—862no—
660C42—862no—
661C42D4×D4311yescharacteristic
662C42D4×D4311yescharacteristic
663C42C23×D4311yescharacteristic
664C42C23×D4311yescharacteristic
665C23—22no—
666C23—864no—
667C23—862no—
668C23—3441no—
669C23—3441no—
670C23C2×D4×D4311yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—42no—
674Q8—81no—
675Q8—862no—
676Q8—862no—
677Q8—3444no—
678Q8—1722no—
679Q8—1722no—
680Q8—1722no—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—44no—
685D4—81no—
686D4—434no—
687D4—864no—
688D4—862no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—44no—
695C2×C4—434no—
696C2×C4—434no—
697C2×C4—862no—
698C2×C4—862no—
699C2×C4—862no—
700C2×C4—3442no—
701C2×C4—3444no—
702C2×C4—3444no—
703C2×C4—3444no—
704C2×C4—3441no—
705C2×C4—3441no—
706C2×C4—1724no—
707C2×C4—1722no—
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#1306337212yes—
715C2×C4C24×D4311yescharacteristic
716C8—22no—
717C8—22no—
718C8—864no—
719C22—21no—
720C22—21no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—864no—
725C22—3444no—
726C22—1722no—
727C22—1722no—
728C22#1458355712yes—
729C22C22×D4×D4311yescharacteristic
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—864no—
738C4—864no—
739C4—1722no—
740C4—1722no—
741C4—1722no—
742C4#1458355712yes—
743C4C2×#41×D4311yescharacteristic
744C4C2×#1306337211yescharacteristic
745C2—22no—
746C2—82no—
747C2—1724no—
748C2C2×#1458355711yescharacteristic
749C2#1914937211yescharacteristic
750C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3135C2
socleC22×C43C23×D4
prime radical#19144055C2
hypercenter#3135D43
hypocenterC43#61333
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3135

Complements

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

NH ≅ G/Ntype
1. #19148457C2semidirect
2. #19148396C2semidirect
3. #19147421C2semidirect
4. #19147373C2semidirect
5. #19147343C2semidirect
6. #19147310C2semidirect
7. #19144964C2semidirect
8. #19144444C2semidirect
9. #19144396C2semidirect
10. #19144110C2semidirect
12. #19143535C2semidirect
13. #19143430C2semidirect
14. C2×#14583001C2semidirect
15. C43×#3135C2semidirect
18. #14583635C22semidirect
19. #14583624C22semidirect
21. #14583618C22semidirect
41. #14583266C22semidirect
42. #14583257C22semidirect
43. #14583252C22semidirect
44. #14583248C22semidirect
45. #14583208C22semidirect
46. #14583203C22semidirect
47. #14583197C22semidirect
48. #14583192C22semidirect
49. #14583191C22semidirect
50. #14583181C22semidirect
51. #14583177C22semidirect
59. #14583027C22semidirect
60. #14583027C22semidirect
78. C43×#491C22semidirect
79. C43×#490C22semidirect
80. C43×#489C22semidirect
81. C43×#489C22semidirect
377. #3135D43semidirect
419. #491C2×D43semidirect
420. #490C2×D43semidirect
422. #489C2×D43semidirect
423. #489C2×D43semidirect
460. C43#61333semidirect

Maximal subgroups

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

subgroupindex
#191484572
#191483962
#191474212
#191473732
#191473432
#191473102
#191449642
#191444442
#191443962
#191441102
#191440552
#191435352
#191434302
C2×#145830012
C43×#31352
#6133343