Finite Group Databasebeta

← #25976680

Subgroups — #25976680

Order 11008.

1862 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148444C211yesmaximal, characteristic, complemented
2#19148396C211yesmaximal, characteristic, complemented
3#19147417C214yesmaximal, complemented
4#19147384C214yesmaximal, complemented
5#19147347C214yesmaximal, complemented
6#19147299C214yesmaximal, complemented
7#19144953C212yesmaximal, complemented
8#19144455C212yesmaximal, complemented
9#19144388C211yesmaximal, characteristic, complemented
10#19144101C212yesmaximal, complemented
11#19144055C211yesmaximal, characteristic, complemented
12#19143535C211yesmaximal, characteristic, complemented
13#19143430C212yesmaximal, complemented
14C2×#14583012C211yesmaximal, characteristic, complemented
15C43×#3135C211yesmaximal, characteristic, complemented
16C2×#13063350C2212yes—
17C22×D344C2211yescharacteristic
18#14583631C2214yescomplemented
19#14583623C2212yescomplemented
20#14583614—21no—
21#14583610C2212yescomplemented
22#14583609—21no—
23#14583609—22no—
24#14583605C2214yescomplemented
25#14583595—22no—
26#14583569C2212yescomplemented
27Q8×D172—21no—
28#14583564C2212yescomplemented
29#14583553—21no—
30#14583527C2212yes—
31#14583524—22no—
32#14583486—22no—
33#14583463C2212yes—
34#14583456C2211yescharacteristic
35#14583409—22no—
36C22⋊Q8×D43—22no—
37#14583382C2212yes—
38#14583373C2212yes—
39C2×C4×D172C2211yescharacteristic
40C2×C4×D172C2211yescharacteristic
41#14583262C2214yescomplemented
42#14583260C2214yescomplemented
43#14583255C2214yescomplemented
44#14583244C2214yescomplemented
45#14583204C2214yescomplemented
46#14583201C2214yescomplemented
47#14583196C2214yescomplemented
48#14583187C2214yescomplemented
49#14583186C2212yescomplemented
50#14583182C2214yescomplemented
51#14583176C2212yescomplemented
52#14583117C2214yes—
53#14583117C2214yes—
54#14583111C2214yescomplemented
55#14583101C2212yescomplemented
56#14583093C2214yes—
57#14583093C2214yes—
58#14583091C2212yescomplemented
59#14583027C2214yescomplemented
60#14583027C2214yescomplemented
61#14583012C2214yes—
62#14583012C2214yes—
63#14583008C2214yescomplemented
64#14583002C2214yescomplemented
65#14582984C2214yescomplemented
66#14582979C2214yescomplemented
67#14582942C2212yes—
68C2×#13063257C2211yescharacteristic
69#14582925C2212yes—
70#14582923C2211yescharacteristic
71#14582903C2212yes—
72#14582900C2212yes—
73C2×#13063247C2211yescharacteristic
74C2×#13063247C2211yescharacteristic
75#14582854C2212yes—
76C43×#533C2211yescharacteristic
77C43×#532C2211yescharacteristic
78C43×#491C2212yescomplemented
79C43×#490C2212yescomplemented
80C43×#489C2212yescomplemented
81C43×#489C2212yescomplemented
82C43×#416C2212yes—
83C43×#416C2212yes—
84C2×#97×C43C2211yescharacteristic
85C2×#10621900—22no—
86C2×Q8×D43—22no—
87C22×D172C2311yescharacteristic
88C22×D172C2311yescharacteristic
89C22×C4×D43—21no—
90C22×C4×D43—21no—
91#13063350—28no—
92C2×#10621884C2314yes—
93C2×D344—24no—
94C2×D344C2314yes—
95C2×#10621882C2314yes—
96C2×#10621877C2312yes—
97#13063325—22no—
98#13063325D411yescharacteristic
99#13063325D411yescharacteristic
100#13063324C2314yes—
101#13063321C2314yes—
102#13063320—24no—
103#13063317—22no—
104#13063317D412yes—
105#13063316C2314yes—
106#13063314C2314yes—
107#13063311—24no—
108#13063309—24no—
109#13063307—24no—
110#13063305—22no—
111#13063305—22no—
112#13063305—24no—
113#13063304D412yes—
114#13063304D412yes—
115#13063303—24no—
116#13063303—24no—
117#13063303—24no—
118#13063302—24no—
119#13063301—22no—
120#13063301—24no—
121#13063299—22no—
122#13063299—22no—
123#13063297—24no—
124#13063296—22no—
125#13063293—24no—
126Q8×Dic43C2314yes—
127C4×Dic86C2312yes—
128C4×Dic86C2312yes—
129C4×D172—21no—
130C4×D172—21no—
131C4×D172—21no—
132C4×D172—21no—
133C4×D172—22no—
134C4×D172—22no—
135C4×D172C2312yes—
136C4×D172C2312yes—
137C4×D172C2312yes—
138C4×D172C2312yes—
139D4×Dic43—24no—
140D4×Dic43C2314yes—
141#13063287C2314yes—
142#13063287C2314yes—
143(C22⋊D43)⋊C4—24no—
144#13063284—22no—
145#13063284C2312yes—
146#13063283—22no—
147C2×C4⋊Dic43—22no—
148C2×C4⋊Dic43C2311yescharacteristic
149C2×C4⋊Dic43C2311yescharacteristic
150C4⋊C4×D43—22no—
151C4⋊C4×D43—24no—
152C2×(C2×D43)⋊C4—21no—
153C2×(C2×D43)⋊C4—21no—
154C22⋊C4×D43—24no—
155#13063258C2314yes—
156#13063257C2314yes—
157#13063256C2314yes—
158C4⋊(C43⋊C8)C2312yes—
159C4⋊(C43⋊C8)C2312yes—
160Dic43⋊C8C2314yes—
161Dic43⋊C8C2314yes—
162#13063249C2314yes—
163#13063247C2314yes—
164#13063247C2314yes—
165#13063246C2314yes—
166#13063245C2314yes—
167#13063245C2314yes—
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—
200C23×D43—21no—
201#41×C43—24no—
202#41×C43—24no—
203C2×Q8×C43—21no—
204C2×Q8×C43—21no—
205C2×Q8×C43C2412yes—
206C2×D4×C43—21no—
207C2×D4×C43—21no—
208C2×D4×C43—22no—
209C2×D4×C43C2412yes—
210C22×C4×C43—22no—
211C22×C4×C43C2×D411yescharacteristic
212C22×C4×C43C2×D411yescharacteristic
213C22×C4×C43C2411yescharacteristic
214C2×C22⋊D43—24no—
215C2×C22⋊D43—24no—
216C22×Dic43—24no—
217C22×Dic43—21no—
218C22×Dic43—21no—
219Q8×D43—84no—
220#10621900—84no—
221C2×D172—21no—
222C2×D172—22no—
223C2×D172—21no—
224C2×D172—22no—
225C2×D172—22no—
226C2×D172#4114yescomplemented
227C2×D172C2412yes—
228C2×D172C2412yes—
229C2×C4×D43—22no—
230C2×C4×D43—22no—
231C2×C4×D43—22no—
232C2×C4×D43—22no—
233C2×C4×D43—24no—
234C2×C4×D43—24no—
235C2×C4×D43—82no—
236C2×C4×D43—82no—
237C2×Dic86—24no—
238C2×Dic86C2×D412yes—
239C2×Dic86C2×D412yes—
240C2×C8×C43—22no—
241C2×C8×C43—22no—
242C2×C8×C43C2412yes—
243C2×C8×C43C2412yes—
244C4⋊C4×C43—21no—
245C4⋊C4×C43—21no—
246C4⋊C4×C43—22no—
247C4⋊C4×C43—22no—
248C4⋊C4×C43—21no—
249C4⋊C4×C43—21no—
250C4⋊C4×C43C2412yes—
251C4⋊C4×C43C2412yes—
252C22⋊C4×C43—22no—
253C22⋊C4×C43—22no—
254C22⋊C4×C43—22no—
255C42×C43—22no—
256C42×C43C2×D411yescharacteristic
257C42×C43C2×D411yescharacteristic
258C42×C43C2411yescharacteristic
259C42×C43C2411yescharacteristic
260C22⋊Dic43—24no—
261C22⋊Dic43C2×D414yes—
262#10621884—28no—
263#10621882—28no—
264(C2×D43)⋊C4—22no—
265(C2×D43)⋊C4—22no—
266(C2×D43)⋊C4—22no—
267(C2×D43)⋊C4—22no—
268(C2×D43)⋊C4—24no—
269(C2×D43)⋊C4—24no—
270(C2×D43)⋊C4—24no—
271(C2×D43)⋊C4—24no—
272C4⋊Dic43—21no—
273C4⋊Dic43—21no—
274C4⋊Dic43—24no—
275C4⋊Dic43—24no—
276C4⋊Dic43C2×D412yes—
277C4⋊Dic43C2×D412yes—
278C4⋊Dic43C2×D412yes—
279C4⋊Dic43C2×D412yes—
280C4⋊Dic43C2412yes—
281C4⋊Dic43C2412yes—
282Dic43⋊C4—24no—
283Dic43⋊C4—24no—
284Dic43⋊C4C2×D414yes—
285Dic43⋊C4C2×D414yes—
286C4×Dic43—24no—
287C4×Dic43C2414yes—
288#10621877—24no—
289C2×C43⋊C8C2414yes—
290D344—28no—
291C23×C43—22no—
292C23×C43C22×D411yescharacteristic
293C22×D43—22no—
294C22×D43—24no—
295C22×D43—22no—
296C22×D43—42no—
297C22×D43—81no—
298C22×D43—81no—
299C22×D43—81no—
300C22×D43—81no—
301Q8×C43—22no—
302Q8×C43—22no—
303Q8×C43—42no—
304Q8×C43—81no—
305D4×C43—22no—
306D4×C43—22no—
307D4×C43—42no—
308D4×C43—44no—
309D4×C43—81no—
310C2×C4×C43—22no—
311C2×C4×C43—22no—
312C2×C4×C43—22no—
313C2×C4×C43—41no—
314C2×C4×C43—41no—
315C2×C4×C43—44no—
316C2×C4×C43C22×D411yescharacteristic
317C2×C4×C43C22×D411yescharacteristic
318C2×C4×C43C22×D411yescharacteristic
319C2×C4×C43C22×D411yescharacteristic
320C2×C4×C43C22×D411yescharacteristic
321C2×C4×C43C2×#4112yes—
322C2×C4×C432−1+412yes—
323C2×C4×C43C2511yescharacteristic
324C22⋊D43—84no—
325C22⋊D43—84no—
326C2×Dic43—22no—
327C2×Dic43—22no—
328C2×Dic43—84no—
329C2×Dic43—81no—
330C2×Dic43—81no—
331C2×Dic43C22×D414yes—
332C2×Dic43C22×D414yes—
333D172—24no—
334D172—22no—
335D172—22no—
336D172—22no—
337D172—42no—
338D172C2×#4114yes—
339C4×D43—44no—
340C4×D43—44no—
341C4×D43—84no—
342C4×D43—84no—
343C4×D43—82no—
344C4×D43—82no—
345Dic86—42no—
346Dic86—42no—
347Dic86—84no—
348C8×C43—22no—
349C8×C43—22no—
350C43⋊C8—24no—
351#61332—431nomaximal, Sylow
352C22×C43—21no—
353C22×C43—21no—
354C22×C43—42no—
355C22×C43—42no—
356C22×C43—42no—
357C22×C43#54812yes—
358C22×C43C23×D411yescharacteristic
359C2×D43—24no—
360C2×D43—42no—
361C2×D43—42no—
362C2×D43—42no—
363C2×D43—42no—
364C2×D43—42no—
365C2×D43—84no—
366C2×D43—84no—
367C4×C43—21no—
368C4×C43—21no—
369C4×C43—21no—
370C4×C43—21no—
371C4×C43—42no—
372C4×C43—42no—
373C4×C43—42no—
374C4×C43#54812yes—
375C4×C43C22×#4111yescharacteristic
376C4×C43C2×2−1+411yescharacteristic
377Dic43—24no—
378Dic43—24no—
379Dic43—42no—
380Dic43—42no—
381#3506—431no—
382#3501—431no—
383#3376—434no—
384#3373—434no—
385#3370—434no—
386#3366—434no—
387#3136—432no—
388#3135D4311yescharacteristic, complemented
389#3084—432no—
390#3077—431no—
391#3041—432no—
392#3036—431no—
393#2961—431no—
394#2946—432no—
395C2×#442—431no—
396C2×C43—22no—
397C2×C43—82no—
398C2×C43C2×#54811yescharacteristic
399C2×C43#358511yescharacteristic
400C2×C43#358511yescharacteristic
401D43—44no—
402D43—82no—
403C2×AGL(1,ℤ/8)—432no—
404C22×D8—431no—
405#559—434no—
406#556—432no—
407#555—861no—
408#554—432no—
409#554—434no—
410#554—862no—
411#554—861no—
412#553—862no—
413#550—432no—
414D4×Q8—432no—
415D4×Q8—861no—
416#547—861no—
417#544—432no—
418#543—862no—
419#538—862no—
420#535—432no—
421#533—431no—
422#533C2×D4311yescharacteristic
423#532C2×D4311yescharacteristic
424#525—862no—
425C2×C22⋊Q8—862no—
426#520—432no—
427#518—432no—
428C2×C4×D4—431no—
429C2×C4×D4—431no—
430#491C2×D4312yescomplemented
431#490—434no—
432#490C2×D4312yescomplemented
433#489—434no—
434#489C2×D4312yescomplemented
435#489C2×D4312yescomplemented
436#488—434no—
437#486—434no—
438#479—434no—
439#478—434no—
440#478—434no—
441#476—432no—
442#476—434no—
443#475—434no—
444#474—432no—
445#463—434no—
446#463—434no—
447#463—434no—
448#461—432no—
449#459—432no—
450#459—434no—
451#459—434no—
452#446—434no—
453#446—434no—
454#442—434no—
455#442—434no—
456#442—434no—
457#440—434no—
458C4×SD16—434no—
459C4×D8—434no—
460#428—432no—
461C2×#106—431no—
462#424—432no—
463#423—431no—
464#418—432no—
465#417—432no—
466#416C2×D4312yes—
467#416C2×D4312yes—
468C2×#102—431no—
469C2×#102—431no—
470#405—432no—
471C2×#97C2×D4311yescharacteristic
472C43#6133211yescharacteristic, complemented, Sylow
473C2×#41—862no—
474C2×#41C22×D4312yes—
475C22×Q8—862no—
476C22×D4—431no—
477C22×D4—431no—
478C23×C4—861no—
479C23×C4—861no—
480AGL(1,ℤ/8)—868no—
481C2×SD16—434no—
482C2×D8—434no—
483C2×D8—434no—
484C2×D8—864no—
485C2×M16—432no—
486C22×C8C22×D4311yescharacteristic
487C22×C8C22×D4311yescharacteristic
488C4⋊Q8—434no—
489C4⋊Q8—431no—
490C4⋊Q8—431no—
491C4⋊Q8—862no—
492C4⋊Q8C22×D4311yescharacteristic
493C4⋊Q8C22×D4311yescharacteristic
494C4⋊Q8C22×D4311yescharacteristic
495#127—434no—
496#127C22×D4311yescharacteristic
497#126—864no—
498#125—434no—
499#125—432no—
500#125—862no—
501#125C22×D4312yes—
502#124—434no—
503#124—864no—
504#124C22×D4312yes—
505#123—864no—
506#123—864no—
507C22⋊Q8—21no—
508C22⋊Q8—21no—
509C22⋊Q8—432no—
510C22⋊Q8—432no—
511C22⋊Q8—864no—
512C22⋊Q8—864no—
513C22⋊Q8—864no—
514C22⋊Q8—864no—
515C22⋊Q8—862no—
516C22⋊Q8—862no—
517C22⋊Q8—864no—
518C22⋊Q8—862no—
519C22⋊Q8—864no—
520#121—21no—
521#121—21no—
522#121—862no—
523#121—862no—
524#121—862no—
525#121—864no—
526#120—864no—
527C4×Q8—21no—
528C4×Q8—21no—
529C4×Q8—432no—
530C4×Q8—432no—
531C4×Q8—434no—
532C4×D4—21no—
533C4×D4—21no—
534C4×D4—434no—
535C4×D4—434no—
536C4×D4—434no—
537C4×D4—432no—
538C4×D4—432no—
539C4×D4—432no—
540C4×D4—432no—
541C4×D4—862no—
542C4×D4—862no—
543C4×D4—864no—
544C4×D4—864no—
545C4×D4—861no—
546C4×D4—861no—
547C4×D4—861no—
548C4×D4—861no—
549#117—432no—
550#117—862no—
551#117—862no—
552#117C22×D4312yes—
553C2×C4⋊C4—431no—
554C2×C4⋊C4—431no—
555C2×C4⋊C4—864no—
556C2×C4⋊C4—862no—
557C2×C4⋊C4—862no—
558C2×C22⋊C4—864no—
559C2×C22⋊C4—861no—
560C2×C22⋊C4—861no—
561C2×C42C22×D4311yescharacteristic
562#107—434no—
563#106—434no—
564#106—434no—
565C4⋊C8—434no—
566C4⋊C8—434no—
567C4⋊C8—432no—
568C4⋊C8—432no—
569#103—434no—
570#103C22×D4312yes—
571#103C22×D4312yes—
572#103C22×D4312yes—
573#103C22×D4312yes—
574#102—434no—
575#102—434no—
576#102—434no—
577#102—434no—
578#102—434no—
579#102C22×D4312yes—
580#102C22×D4312yes—
581#102C22×D4312yes—
582#102C22×D4312yes—
583#97—434no—
584#97C22×D4312yes—
585#97C22×D4312yes—
586C4×C8—434no—
587C24—861no—
588C24—861no—
589#41—24no—
590#41—24no—
591#41—3444no—
592C2×Q8—21no—
593C2×Q8—21no—
594C2×Q8—432no—
595C2×Q8—432no—
596C2×Q8—864no—
597C2×Q8—3444no—
598C2×Q8C23×D4312yes—
599C2×D4—22no—
600C2×D4—21no—
601C2×D4—21no—
602C2×D4—434no—
603C2×D4—432no—
604C2×D4—432no—
605C2×D4—864no—
606C2×D4—864no—
607C2×D4—861no—
608C2×D4—861no—
609C2×D4—862no—
610C2×D4—862no—
611C2×D4—862no—
612C2×D4C23×D4312yes—
613C22×C4—22no—
614C22×C4—864no—
615C22×C4—864no—
616C22×C4—864no—
617C22×C4—861no—
618C22×C4—861no—
619C22×C4—862no—
620C22×C4—862no—
621C22×C4—862no—
622C22×C4—862no—
623C22×C4—3442no—
624C22×C4—3442no—
625C22×C4D4×D4311yescharacteristic
626C22×C4D4×D4311yescharacteristic
627C22×C4C23×D4311yescharacteristic
628SD16—868no—
629D8—868no—
630D8—868no—
631M16—864no—
632C2×C8—22no—
633C2×C8—22no—
634C2×C8—434no—
635C2×C8C23×D4312yes—
636C2×C8C23×D4312yes—
637C4⋊C4—22no—
638C4⋊C4—21no—
639C4⋊C4—21no—
640C4⋊C4—21no—
641C4⋊C4—22no—
642C4⋊C4—21no—
643C4⋊C4—432no—
644C4⋊C4—434no—
645C4⋊C4—432no—
646C4⋊C4—432no—
647C4⋊C4—432no—
648C4⋊C4—434no—
649C4⋊C4—432no—
650C4⋊C4—432no—
651C4⋊C4—864no—
652C4⋊C4—864no—
653C4⋊C4—864no—
654C4⋊C4—864no—
655C4⋊C4—861no—
656C4⋊C4—861no—
657C4⋊C4C23×D4312yes—
658C4⋊C4C23×D4312yes—
659C22⋊C4—22no—
660C22⋊C4—22no—
661C22⋊C4—22no—
662C22⋊C4—434no—
663C22⋊C4—864no—
664C22⋊C4—864no—
665C22⋊C4—864no—
666C22⋊C4—864no—
667C22⋊C4—864no—
668C22⋊C4—862no—
669C22⋊C4—862no—
670C22⋊C4—862no—
671C22⋊C4—862no—
672C42—22no—
673C42—434no—
674C42—864no—
675C42D4×D4311yescharacteristic
676C42D4×D4311yescharacteristic
677C42C23×D4311yescharacteristic
678C42C23×D4311yescharacteristic
679C23—22no—
680C23—864no—
681C23—862no—
682C23—862no—
683C23—3441no—
684C23—3441no—
685C23—3441no—
686C23—3441no—
687C23—1722no—
688C23C2×D4×D4311yescharacteristic
689Q8—22no—
690Q8—22no—
691Q8—42no—
692Q8—81no—
693Q8—3444no—
694Q8—1722no—
695Q8—1722no—
696D4—22no—
697D4—22no—
698D4—42no—
699D4—44no—
700D4—81no—
701D4—434no—
702D4—864no—
703D4—862no—
704D4—862no—
705D4—862no—
706D4—3444no—
707D4—3444no—
708D4—1722no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—22no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—44no—
715C2×C4—434no—
716C2×C4—434no—
717C2×C4—862no—
718C2×C4—862no—
719C2×C4—3442no—
720C2×C4—3442no—
721C2×C4—3444no—
722C2×C4—3444no—
723C2×C4—3444no—
724C2×C4—3441no—
725C2×C4—3441no—
726C2×C4—1724no—
727C2×C4—1724no—
728C2×C4C2×D4×D4311yescharacteristic
729C2×C4C2×D4×D4311yescharacteristic
730C2×C4C2×D4×D4311yescharacteristic
731C2×C4C2×D4×D4311yescharacteristic
732C2×C4C2×D4×D4311yescharacteristic
733C2×C4#41×D4312yes—
734C2×C4#1306337212yes—
735C2×C4C24×D4311yescharacteristic
736C8—22no—
737C8—22no—
738C8—864no—
739C22—21no—
740C22—21no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—864no—
745C22—3444no—
746C22—3444no—
747C22—1722no—
748C22—1722no—
749C22—1722no—
750C22—1722no—
751C22—1722no—
752C22#1458355712yes—
753C22C22×D4×D4311yescharacteristic
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—864no—
762C4—864no—
763C4—1722no—
764C4—1722no—
765C4#1458355712yes—
766C4C2×#41×D4311yescharacteristic
767C4C2×#1306337211yescharacteristic
768C2—22no—
769C2—82no—
770C2—3442no—
771C2—1724no—
772C2C2×#1458355711yescharacteristic
773C2#1914937211yescharacteristic
774C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3135C2
socleC22×C43C23×D4
hypercenter#3135D43
hypocenterC43#61332
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. #19148444C2semidirect
2. #19148396C2semidirect
3. #19147417C2semidirect
4. #19147384C2semidirect
5. #19147347C2semidirect
6. #19147299C2semidirect
7. #19144953C2semidirect
8. #19144455C2semidirect
9. #19144388C2semidirect
10. #19144101C2semidirect
11. #19144055C2semidirect
12. #19143535C2semidirect
13. #19143430C2semidirect
14. C2×#14583012C2semidirect
15. C43×#3135C2semidirect
18. #14583631C22semidirect
19. #14583623C22semidirect
21. #14583610C22semidirect
24. #14583605C22semidirect
26. #14583569C22semidirect
28. #14583564C22semidirect
41. #14583262C22semidirect
42. #14583260C22semidirect
43. #14583255C22semidirect
44. #14583244C22semidirect
45. #14583204C22semidirect
46. #14583201C22semidirect
47. #14583196C22semidirect
48. #14583187C22semidirect
49. #14583186C22semidirect
50. #14583182C22semidirect
51. #14583176C22semidirect
54. #14583111C22semidirect
55. #14583101C22semidirect
58. #14583091C22semidirect
59. #14583027C22semidirect
60. #14583027C22semidirect
63. #14583008C22semidirect
64. #14583002C22semidirect
65. #14582984C22semidirect
66. #14582979C22semidirect
78. C43×#491C22semidirect
79. C43×#490C22semidirect
80. C43×#489C22semidirect
81. C43×#489C22semidirect
226. C2×D172#41semidirect
388. #3135D43semidirect
430. #491C2×D43semidirect
432. #490C2×D43semidirect
434. #489C2×D43semidirect
435. #489C2×D43semidirect
472. C43#61332semidirect

Maximal subgroups

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

subgroupindex
#191484442
#191483962
#191474172
#191473842
#191473472
#191472992
#191449532
#191444552
#191443882
#191441012
#191440552
#191435352
#191434302
C2×#145830122
C43×#31352
#6133243