Finite Group Databasebeta

← #25976677

Subgroups — #25976677

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#19148449C211yesmaximal, characteristic, complemented
2#19148396C211yesmaximal, characteristic, complemented
3#19147424C214yesmaximal, complemented
4#19147389C214yesmaximal, complemented
5#19147350C214yesmaximal, complemented
6#19147304C214yesmaximal, complemented
7#19144951C212yesmaximal, complemented
8#19144941C211yesmaximal, characteristic, complemented
9#19144459C212yesmaximal, complemented
10#19144394C211yesmaximal, characteristic, complemented
11#19144099C212yesmaximal, complemented
12#19144061C211yesmaximal, characteristic, complemented
13#19143429C212yesmaximal, complemented
14C2×#14583012C211yesmaximal, characteristic, complemented
15C43×#2961C211yesmaximal, characteristic, complemented
16C2×#13063353C2212yes—
17C22×D344C2211yescharacteristic
18#14583634C2214yescomplemented
19#14583622C2212yescomplemented
20#14583615—21no—
21#14583610—21no—
22#14583609C2214yescomplemented
23#14583609C2212yescomplemented
24#14583605—22no—
25#14583602—22no—
26#14583571C2212yescomplemented
27Q8×D172C2212yescomplemented
28#14583564—21no—
29#14583552—21no—
30#14583527C2212yes—
31#14583524—22no—
32#14583489—22no—
33#14583468C2212yes—
34#14583456C2211yescharacteristic
35#14583449C2211yescharacteristic
36#14583412—22no—
37C22⋊Q8×D43—22no—
38#14583379C2212yes—
39#14583373C2212yes—
40C2×C4×D172C2211yescharacteristic
41C2×C4×D172C2211yescharacteristic
42#14583268C2212yescomplemented
43#14583264C2212yescomplemented
44#14583264C2214yescomplemented
45#14583259C2212yescomplemented
46#14583259C2212yescomplemented
47#14583259C2214yescomplemented
48#14583254C2214yescomplemented
49#14583246C2214yescomplemented
50#14583207C2214yescomplemented
51#14583200C2214yescomplemented
52#14583200C2214yescomplemented
53#14583190C2214yescomplemented
54#14583190C2212yescomplemented
55#14583185C2214yescomplemented
56#14583180C2212yescomplemented
57#14583115C2214yes—
58#14583115C2214yes—
59#14583115C2214yescomplemented
60#14583105C2212yescomplemented
61#14583095C2214yes—
62#14583095C2214yes—
63#14583095C2212yescomplemented
64#14583012C2214yes—
65#14583012C2214yes—
66#14583012C2214yescomplemented
67#14583001C2214yescomplemented
68C4×#10621873C2214yescomplemented
69C4×D344C2214yescomplemented
70#14582941C2212yes—
71C2×#13063257C2211yescharacteristic
72#14582905C2212yes—
73#14582901C2212yes—
74#14582896C2212yes—
75#14582896C2212yes—
76C2×#13063247C2211yescharacteristic
77C2×#13063247C2211yescharacteristic
78C43×#533C2211yescharacteristic
79C43×#446C2214yescomplemented
80C43×#446C2214yescomplemented
81C43×#424C2212yes—
82C43×#423C2211yescharacteristic
83C43×#405C2212yes—
84C2×#97×C43C2211yescharacteristic
85C2×#10621902—22no—
86C2×#10621898C2312yes—
87C2×Q8×D43—22no—
88C22×D172C2311yescharacteristic
89C22×D172C2311yescharacteristic
90C22×C4×D43—21no—
91C22×C4×D43—21no—
92#13063353—28no—
93C2×#10621873C2314yes—
94C2×D344—24no—
95C2×D344C2314yes—
96C2×D344C2314yes—
97#13063325C2311yescharacteristic
98#13063325C2311yescharacteristic
99#13063325C2314yes—
100#13063325C2311yescharacteristic
101#13063324—22no—
102#13063322C2311yescharacteristic
103#13063322C2314yes—
104#13063320—24no—
105#13063317C2312yes—
106#13063317C2314yes—
107#13063316—22no—
108#13063314—24no—
109#13063313C2314yes—
110#13063313C2312yes—
111#13063310—24no—
112#13063310—24no—
113#13063305—24no—
114#13063305—22no—
115#13063304—21no—
116#13063304—21no—
117#13063303—24no—
118#13063303—24no—
119#13063303—24no—
120#13063302—24no—
121#13063301—22no—
122#13063301—22no—
123#13063301—24no—
124#13063300—22no—
125#13063300—24no—
126#13063300—22no—
127#13063300—22no—
128#13063299—21no—
129#13063299—21no—
130#13063295—24no—
131C4×Dic86—21no—
132C4×Dic86—21no—
133C4×Dic86C2314yes—
134C4×D172—21no—
135C4×D172—21no—
136C4×D172—21no—
137C4×D172—21no—
138C4×D172—21no—
139C4×D172—21no—
140C4×D172C2314yes—
141C4×D172C2312yes—
142C4×D172C2312yes—
143C4×D172C2314yes—
144C4×D172C2314yes—
145C4×D172C2312yes—
146C4×D172C2312yes—
147#13063287—22no—
148#13063287—24no—
149#13063287—22no—
150(C22⋊D43)⋊C4—24no—
151#13063284C2312yes—
152#13063283—22no—
153#13063283—22no—
154C2×C4⋊Dic43C2311yescharacteristic
155C2×C4⋊Dic43C2311yescharacteristic
156C4⋊C4×D43—22no—
157C4⋊C4×D43—24no—
158C4⋊C4×D43—22no—
159C2×(C2×D43)⋊C4—21no—
160C2×(C2×D43)⋊C4—21no—
161C22⋊C4×D43—24no—
162#13063259C2314yes—
163#13063257C2314yes—
164#13063257C2314yes—
165#13063250C2314yes—
166#13063250C2312yes—
167#13063250C2312yes—
168#13063250C2312yes—
169#13063250C2312yes—
170#13063247C2312yes—
171#13063247C2312yes—
172#13063247C2314yes—
173#13063247C2314yes—
174#13063247C2314yes—
175#13063247C2314yes—
176#13063247C2314yes—
177#13063247C2312yes—
178#13063247C2312yes—
179C2×M16×C43C2312yes—
180C22×C8×C43C2311yescharacteristic
181C22×C8×C43C2311yescharacteristic
182C4⋊Q8×C43D411yescharacteristic
183C4⋊Q8×C43D411yescharacteristic
184#125×C43D412yes—
185C22⋊Q8×C43D412yes—
186C22⋊Q8×C43D412yes—
187C4×Q8×C43C2312yes—
188C4×Q8×C43C2312yes—
189#117×C43C2312yes—
190C2×C42×C43C2311yescharacteristic
191C4⋊C8×C43C2314yes—
192C4⋊C8×C43C2314yes—
193C4⋊C8×C43C2312yes—
194C4⋊C8×C43C2312yes—
195#97×C43C2312yes—
196#97×C43C2312yes—
197#97×C43C2314yes—
198C4×C8×C43C2314yes—
199C23×D43—21no—
200C23×D43—21no—
201C2×Q8×C43C2×D412yes—
202C2×Q8×C43C2×D412yes—
203C22×C4×C43C2×D411yescharacteristic
204C22×C4×C43C2×D411yescharacteristic
205C22×C4×C43C2411yescharacteristic
206C2×C22⋊D43—22no—
207C22×Dic43—21no—
208C22×Dic43—21no—
209#10621902—84no—
210Q8×D43—84no—
211#10621898—24no—
212#10621898—24no—
213C2×D172—21no—
214C2×D172—22no—
215C2×D172—21no—
216C2×D172—21no—
217C2×D172—24no—
218C2×D172—21no—
219C2×D172—24no—
220C2×D172—22no—
221C2×D172—22no—
222C2×D172#4114yescomplemented
223C2×D172C2412yes—
224C2×D172C2412yes—
225C2×D172C2412yes—
226C2×C4×D43—22no—
227C2×C4×D43—22no—
228C2×C4×D43—22no—
229C2×C4×D43—24no—
230C2×C4×D43—24no—
231C2×C4×D43—22no—
232C2×C4×D43—24no—
233C2×C4×D43—22no—
234C2×C4×D43—82no—
235C2×C4×D43—82no—
236C2×Dic86—21no—
237C2×Dic86—21no—
238C2×Dic86—24no—
239C2×Dic86C2412yes—
240M16×C43—24no—
241C2×C8×C43—22no—
242C2×C8×C43—22no—
243C2×C8×C43C2412yes—
244C2×C8×C43C2414yes—
245C2×C8×C43C2412yes—
246C4⋊C4×C43C2×D412yes—
247C4⋊C4×C43C2×D412yes—
248C4⋊C4×C43C2×D414yes—
249C4⋊C4×C43C2×D414yes—
250C4⋊C4×C43C2×D412yes—
251C4⋊C4×C43C2×D412yes—
252C22⋊C4×C43C2×D414yes—
253C42×C43C2×D411yescharacteristic
254C42×C43C2×D411yescharacteristic
255C42×C43C2414yes—
256C42×C43C2411yescharacteristic
257C42×C43C2411yescharacteristic
258C22⋊Dic43—22no—
259(C2×D43)⋊C4—24no—
260(C2×D43)⋊C4—24no—
261(C2×D43)⋊C4—22no—
262(C2×D43)⋊C4—22no—
263(C2×D43)⋊C4—22no—
264(C2×D43)⋊C4—22no—
265(C2×D43)⋊C4—24no—
266(C2×D43)⋊C4—24no—
267(C2×D43)⋊C4—22no—
268(C2×D43)⋊C4—24no—
269(C2×D43)⋊C4—22no—
270C4⋊Dic43—21no—
271C4⋊Dic43—21no—
272C4⋊Dic43—24no—
273C4⋊Dic43—21no—
274C4⋊Dic43—21no—
275C4⋊Dic43—21no—
276C4⋊Dic43—21no—
277C4⋊Dic43C2412yes—
278C4⋊Dic43C2412yes—
279C4⋊Dic43C2412yes—
280C4⋊Dic43C2412yes—
281Dic43⋊C4—22no—
282Dic43⋊C4—24no—
283Dic43⋊C4—24no—
284Dic43⋊C4—24no—
285Dic43⋊C4—22no—
286C4×Dic43—24no—
287C4×Dic43—22no—
288D344—28no—
289D344—28no—
290#10621873—28no—
291C23×C43C22×D411yescharacteristic
292C22×D43—22no—
293C22×D43—24no—
294C22×D43—22no—
295C22×D43—22no—
296C22×D43—42no—
297C22×D43—81no—
298C22×D43—81no—
299C22×D43—81no—
300C22×D43—81no—
301Q8×C43—42no—
302Q8×C43—42no—
303C2×C4×C43—41no—
304C2×C4×C43—41no—
305C2×C4×C43C22×D414yes—
306C2×C4×C43C22×D411yescharacteristic
307C2×C4×C43C22×D411yescharacteristic
308C2×C4×C43C22×D414yes—
309C2×C4×C43C22×D411yescharacteristic
310C2×C4×C43C22×D411yescharacteristic
311C2×C4×C43C22×D411yescharacteristic
312C2×C4×C43C2×#4112yes—
313C2×C4×C432−1+412yes—
314C2×C4×C43C2511yescharacteristic
315C22⋊D43—44no—
316C2×Dic43—22no—
317C2×Dic43—22no—
318C2×Dic43—22no—
319C2×Dic43—22no—
320C2×Dic43—22no—
321C2×Dic43—81no—
322C2×Dic43—81no—
323D172—24no—
324D172—22no—
325D172—22no—
326D172—22no—
327D172—22no—
328D172—22no—
329D172—42no—
330D172—42no—
331D172—84no—
332D172—81no—
333D172—84no—
334D172C2×#4114yes—
335C4×D43—44no—
336C4×D43—44no—
337C4×D43—44no—
338C4×D43—84no—
339C4×D43—82no—
340C4×D43—82no—
341C4×D43—84no—
342C4×D43—84no—
343Dic86—22no—
344Dic86—22no—
345Dic86—42no—
346Dic86—81no—
347Dic86—84no—
348C8×C43—24no—
349C8×C43—22no—
350C8×C43—22no—
351#61332—431nomaximal, Sylow
352C22×C43—21no—
353C22×C43—21no—
354C22×C43#54812yes—
355C22×C43C23×D411yescharacteristic
356C2×D43—24no—
357C2×D43—42no—
358C2×D43—42no—
359C2×D43—42no—
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—24no—
370C4×C43—21no—
371C4×C43—21no—
372C4×C43—24no—
373C4×C43#54812yes—
374C4×C43C22×#4111yescharacteristic
375C4×C43C2×2−1+411yescharacteristic
376Dic43—42no—
377Dic43—42no—
378Dic43—42no—
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#3135—431no—
389#3084—432no—
390#3077—431no—
391#3041—432no—
392#3036—431no—
393#2961D4311yescharacteristic, complemented
394#2946—432no—
395C2×#442—431no—
396C2×C43—22no—
397C2×C43C2×#54811yescharacteristic
398C2×C43#358511yescharacteristic
399C2×C43#358511yescharacteristic
400D43—44no—
401D43—82no—
402D43—82no—
403C2×AGL(1,ℤ/8)—432no—
404C22×D8—431no—
405#559—434no—
406#556—432no—
407#555—861no—
408#554—434no—
409#554—432no—
410#554—861no—
411#554—862no—
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#532—431no—
424#525—862no—
425C2×C22⋊Q8—862no—
426#520—432no—
427#518—432no—
428C2×C4×D4—431no—
429C2×C4×D4—431no—
430#491—432no—
431#490—432no—
432#490—434no—
433#489—432no—
434#489—432no—
435#489—434no—
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#446C2×D4314yescomplemented
453#446C2×D4314yescomplemented
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#424C2×D4312yes—
463#423C2×D4311yescharacteristic
464#418—432no—
465#417—432no—
466#416—432no—
467#416—432no—
468C2×#102—431no—
469C2×#102—431no—
470#405C2×D4312yes—
471C2×#97C2×D4311yescharacteristic
472C43#6133211yescharacteristic, complemented, Sylow
473C2×#41—432no—
474C2×#41—862no—
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×M16C22×D4312yes—
486C22×C8C22×D4311yescharacteristic
487C22×C8C22×D4311yescharacteristic
488C4⋊Q8—431no—
489C4⋊Q8—431no—
490C4⋊Q8—434no—
491C4⋊Q8—431no—
492C4⋊Q8—862no—
493C4⋊Q8D17211yescharacteristic
494C4⋊Q8D17211yescharacteristic
495#127—431no—
496#127—434no—
497#126—864no—
498#125—432no—
499#125—434no—
500#125—862no—
501#125D17212yes—
502#124—432no—
503#124—434no—
504#124—864no—
505#123—864no—
506#123—864no—
507C22⋊Q8—862no—
508C22⋊Q8—862no—
509C22⋊Q8—864no—
510C22⋊Q8—861no—
511C22⋊Q8—861no—
512C22⋊Q8—862no—
513C22⋊Q8—864no—
514C22⋊Q8—864no—
515C22⋊Q8—864no—
516C22⋊Q8—864no—
517C22⋊Q8—864no—
518C22⋊Q8D17212yes—
519C22⋊Q8D17212yes—
520#121—861no—
521#121—861no—
522#121—862no—
523#121—862no—
524#121—862no—
525#121—864no—
526#120—864no—
527C4×Q8—434no—
528C4×Q8—861no—
529C4×Q8—861no—
530C4×Q8C22×D4312yes—
531C4×Q8C22×D4312yes—
532C4×D4—432no—
533C4×D4—432no—
534C4×D4—432no—
535C4×D4—432no—
536C4×D4—434no—
537C4×D4—434no—
538C4×D4—434no—
539C4×D4—862no—
540C4×D4—862no—
541C4×D4—864no—
542C4×D4—864no—
543C4×D4—861no—
544C4×D4—861no—
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—862no—
556C2×C4⋊C4—864no—
557C2×C4⋊C4—862no—
558C2×C22⋊C4—861no—
559C2×C22⋊C4—861no—
560C2×C22⋊C4—864no—
561C2×C42C22×D4311yescharacteristic
562#107—434no—
563#106—434no—
564#106—434no—
565C4⋊C8C22×D4312yes—
566C4⋊C8C22×D4312yes—
567C4⋊C8C22×D4314yes—
568C4⋊C8C22×D4314yes—
569#103—432no—
570#103—432no—
571#103—432no—
572#103—432no—
573#103—434no—
574#102—434no—
575#102—434no—
576#102—432no—
577#102—432no—
578#102—432no—
579#102—432no—
580#102—434no—
581#102—434no—
582#102—434no—
583#97C22×D4312yes—
584#97C22×D4312yes—
585#97C22×D4314yes—
586C4×C8C22×D4314yes—
587C24—861no—
588C24—861no—
589#41—864no—
590#41—864no—
591#41—3444no—
592C2×Q8—432no—
593C2×Q8—861no—
594C2×Q8—864no—
595C2×Q8—861no—
596C2×Q8—3444no—
597C2×Q8C2×D17212yes—
598C2×Q8C2×D17212yes—
599C2×D4—434no—
600C2×D4—432no—
601C2×D4—432no—
602C2×D4—432no—
603C2×D4—862no—
604C2×D4—861no—
605C2×D4—864no—
606C2×D4—861no—
607C2×D4—864no—
608C2×D4—861no—
609C2×D4—861no—
610C2×D4—862no—
611C2×D4—862no—
612C2×D4—862no—
613C22×C4—861no—
614C22×C4—861no—
615C22×C4—864no—
616C22×C4—864no—
617C22×C4—862no—
618C22×C4—864no—
619C22×C4—862no—
620C22×C4—862no—
621C22×C4—862no—
622C22×C4—862no—
623C22×C4—3442no—
624C22×C4—3442no—
625C22×C4C2×D17211yescharacteristic
626C22×C4C2×D17211yescharacteristic
627C22×C4C23×D4311yescharacteristic
628SD16—868no—
629D8—868no—
630D8—868no—
631M16—24no—
632C2×C8—22no—
633C2×C8—22no—
634C2×C8C23×D4312yes—
635C2×C8C23×D4314yes—
636C2×C8C23×D4312yes—
637C4⋊C4—432no—
638C4⋊C4—432no—
639C4⋊C4—432no—
640C4⋊C4—432no—
641C4⋊C4—861no—
642C4⋊C4—861no—
643C4⋊C4—862no—
644C4⋊C4—861no—
645C4⋊C4—864no—
646C4⋊C4—864no—
647C4⋊C4—864no—
648C4⋊C4—864no—
649C4⋊C4—861no—
650C4⋊C4—861no—
651C4⋊C4—862no—
652C4⋊C4—861no—
653C4⋊C4C2×D17212yes—
654C4⋊C4C2×D17214yes—
655C4⋊C4C2×D17212yes—
656C4⋊C4C2×D17212yes—
657C4⋊C4C2×D17212yes—
658C4⋊C4C2×D17214yes—
659C22⋊C4—862no—
660C22⋊C4—862no—
661C22⋊C4—864no—
662C22⋊C4—864no—
663C22⋊C4—862no—
664C22⋊C4—862no—
665C22⋊C4—862no—
666C22⋊C4—864no—
667C22⋊C4—864no—
668C22⋊C4—862no—
669C22⋊C4—864no—
670C22⋊C4—862no—
671C22⋊C4C2×D17214yes—
672C42—862no—
673C42—864no—
674C42C2×D17211yescharacteristic
675C42C2×D17211yescharacteristic
676C42C23×D4314yes—
677C42C23×D4311yescharacteristic
678C42C23×D4311yescharacteristic
679C23—864no—
680C23—862no—
681C23—862no—
682C23—862no—
683C23—3441no—
684C23—3441no—
685C23—3441no—
686C23—3441no—
687C23—1722no—
688C23C22×D17211yescharacteristic
689Q8—42no—
690Q8—42no—
691Q8—862no—
692Q8—862no—
693Q8—3444no—
694Q8—3441no—
695Q8—1722no—
696D4—434no—
697D4—864no—
698D4—862no—
699D4—862no—
700D4—862no—
701D4—862no—
702D4—862no—
703D4—3444no—
704D4—3441no—
705D4—3444no—
706D4—1722no—
707D4—1724no—
708D4—1722no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—862no—
712C2×C4—862no—
713C2×C4—862no—
714C2×C4—862no—
715C2×C4—862no—
716C2×C4—3442no—
717C2×C4—3442no—
718C2×C4—3444no—
719C2×C4—3444no—
720C2×C4—3444no—
721C2×C4—3441no—
722C2×C4—3441no—
723C2×C4—1724no—
724C2×C4—1724no—
725C2×C4—1724no—
726C2×C4C22×D17214yes—
727C2×C4C22×D17211yescharacteristic
728C2×C4C22×D17211yescharacteristic
729C2×C4C22×D17211yescharacteristic
730C2×C4C22×D17211yescharacteristic
731C2×C4C22×D17214yes—
732C2×C4C22×D17211yescharacteristic
733C2×C4#41×D4312yes—
734C2×C4#1306337312yes—
735C2×C4C24×D4311yescharacteristic
736C8—22no—
737C8—24no—
738C8—22no—
739C22—21no—
740C22—21no—
741C22—864no—
742C22—3444no—
743C22—3444no—
744C22—1722no—
745C22—1722no—
746C22—1722no—
747C22—1722no—
748C22—1722no—
749C22—1722no—
750C22—1722no—
751C22—1722no—
752C22#1458356112yes—
753C22C23×D17211yescharacteristic
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—24no—
759C4—24no—
760C4—1722no—
761C4—1722no—
762C4—1722no—
763C4—1722no—
764C4—1722no—
765C4#1458356112yes—
766C4C2×#41×D4311yescharacteristic
767C4C2×#1306337311yescharacteristic
768C2—22no—
769C2—3442no—
770C2—3442no—
771C2—1724no—
772C2C2×#1458356111yescharacteristic
773C2#1914937611yescharacteristic
774C2#1914937611yescharacteristic
subgroupG/H
centerC22C23×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2961C2
socleC22×C43C23×D4
hypercenter#2961D43
hypocenterC43#61332
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #533 ◁ #2961

Complements

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

NH ≅ G/Ntype
1. #19148449C2semidirect
2. #19148396C2semidirect
3. #19147424C2semidirect
4. #19147389C2semidirect
5. #19147350C2semidirect
6. #19147304C2semidirect
7. #19144951C2semidirect
8. #19144941C2semidirect
9. #19144459C2semidirect
10. #19144394C2semidirect
11. #19144099C2semidirect
12. #19144061C2semidirect
13. #19143429C2semidirect
14. C2×#14583012C2semidirect
15. C43×#2961C2semidirect
18. #14583634C22semidirect
19. #14583622C22semidirect
22. #14583609C22semidirect
23. #14583609C22semidirect
26. #14583571C22semidirect
27. Q8×D172C22semidirect
42. #14583268C22semidirect
43. #14583264C22semidirect
44. #14583264C22semidirect
45. #14583259C22semidirect
46. #14583259C22semidirect
47. #14583259C22semidirect
48. #14583254C22semidirect
49. #14583246C22semidirect
50. #14583207C22semidirect
51. #14583200C22semidirect
52. #14583200C22semidirect
53. #14583190C22semidirect
54. #14583190C22semidirect
55. #14583185C22semidirect
56. #14583180C22semidirect
59. #14583115C22semidirect
60. #14583105C22semidirect
63. #14583095C22semidirect
66. #14583012C22semidirect
67. #14583001C22semidirect
68. C4×#10621873C22semidirect
69. C4×D344C22semidirect
79. C43×#446C22semidirect
80. C43×#446C22semidirect
222. C2×D172#41semidirect
393. #2961D43semidirect
452. #446C2×D43semidirect
453. #446C2×D43semidirect
472. C43#61332semidirect

Maximal subgroups

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

subgroupindex
#191484492
#191483962
#191474242
#191473892
#191473502
#191473042
#191449512
#191449412
#191444592
#191443942
#191440992
#191440612
#191434292
C2×#145830122
C43×#29612
#6133243