Finite Group Databasebeta

← #25965069

Subgroups — #25965069

Order 11008.

2218 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147983C211yesmaximal, characteristic, complemented
2C2×#14583373C211yesmaximal, characteristic, complemented
3#19144843C214yesmaximal, complemented
4#19144834C214yesmaximal, complemented
5#19144782C214yesmaximal, complemented
6#19144774C214yesmaximal, complemented
7#19144526C211yesmaximal, characteristic, complemented
8#19144391C212yesmaximal, complemented
9#19144058C212yesmaximal, complemented
10#19143825C211yesmaximal, characteristic, complemented
11#19143821C211yesmaximal, characteristic, complemented
12#19143408C212yesmaximal, complemented
13#19143402C212yesmaximal, complemented
14#19143230C211yesmaximal, characteristic, complemented
15C43×#3093C211yesmaximal, characteristic, complemented
16C23×D172C2211yescharacteristic
17C2×#13063353C2212yes—
18C2×#13063350C2212yes—
19#14583522C2212yescomplemented
20#14583516C2212yescomplemented
21#14583509C2212yescomplemented
22#14583502C2212yescomplemented
23#14583493—22no—
24#14583484—22no—
25#14583452C2211yescharacteristic, complemented
26#14583445C2211yescharacteristic, complemented
27#14583431—22no—
28#14583429—22no—
29#14583410C2211yescharacteristic
30#14583373—22no—
31#14583373—22no—
32#14583373C2214yes—
33#14583373C2214yes—
34#41×Dic43C2211yescharacteristic, complemented
35#14583367C2211yescharacteristic, complemented
36C2×C4×D172—22no—
37C2×#13063287C2212yes—
38C2×#13063287C2212yes—
39C2×#13063284C2211yescharacteristic
40C2×C22⋊C4×D43—22no—
41#14583240C2214yescomplemented
42#14583223C2214yescomplemented
43#14583202C2214yescomplemented
44#14583198C2214yescomplemented
45#14583188C2214yescomplemented
46#14583178C2214yescomplemented
47#14583117C2214yescomplemented
48#14583113C2214yescomplemented
49#14583103C2214yescomplemented
50#14583093C2214yescomplemented
51#14583052C2214yes—
52#14583049C2214yes—
53#14583035C2214yes—
54#14583032C2214yes—
55#14583010C2214yescomplemented
56#14583008C2214yescomplemented
57#14583002C2214yescomplemented
58#14582998C2214yescomplemented
59#14582986C2214yescomplemented
60#14582984C2214yescomplemented
61#14582981C2214yescomplemented
62#14582979C2214yescomplemented
63#14582957C2214yescomplemented
64#14582957C2214yescomplemented
65#14582939C2212yescomplemented
66#14582922C2212yescomplemented
67#14582905C2212yes—
68#14582903C2212yes—
69#14582898C2212yescomplemented
70#14582863C2211yescharacteristic
71M16×Dic43C2212yescomplemented
72C43×#525C2211yescharacteristic
73C2×#117×C43C2211yescharacteristic
74C43×#485C2214yescomplemented
75C43×#482C2214yescomplemented
76C43×#428C2212yescomplemented
77C43×#417C2212yescomplemented
78C43×#407C2211yescharacteristic
79C24×D43—21no—
80C2×#10621898C2311yescharacteristic
81C22×D172—21no—
82C22×D172—22no—
83C22×D172—28no—
84C22×D172C2314yes—
85C22×D172C2312yes—
86C22×C4×D43—22no—
87C22×C4×D43—22no—
88#13063353—28no—
89#13063350—28no—
90C2×#10621873C2314yes—
91C2×#10621884C2314yes—
92C2×D344C2314yes—
93C2×#10621882C2314yes—
94C2×#10621877C2312yes—
95#13063324C2312yescomplemented
96#13063323C2311yescharacteristic, complemented
97#13063321C2311yescharacteristic, complemented
98#13063320—22no—
99#13063318—22no—
100#13063318—22no—
101#13063318—22no—
102#13063316—22no—
103#13063316C2312yescomplemented
104#13063315—22no—
105#13063314C2311yescharacteristic, complemented
106#13063312—22no—
107#13063312C2311yescharacteristic, complemented
108#13063311—22no—
109#13063309—22no—
110#13063308—21no—
111#13063307—22no—
112#13063307—22no—
113#13063306—22no—
114#13063305—22no—
115#13063304C2312yes—
116#13063302—22no—
117#13063302—22no—
118#13063299C2312yes—
119#13063297—22no—
120#13063297—22no—
121#13063296—22no—
122#13063294—21no—
123Q8×Dic43C2312yescomplemented
124C4×Dic86—22no—
125#13063290C2312yescomplemented
126C4×D172—24no—
127C4×D172—24no—
128C4×D172—24no—
129C4×D172—24no—
130D4×Dic43—22no—
131D4×Dic43C2312yescomplemented
132#13063287—22no—
133#13063287—22no—
134#13063287—22no—
135#13063287—22no—
136#13063287C2314yes—
137#13063287C2314yes—
138#13063287C2314yes—
139#13063287C2314yes—
140#13063287C2312yescomplemented
141C4×C22⋊D43—22no—
142C4×C22⋊D43—22no—
143(C22⋊D43)⋊C4—22no—
144#13063284—21no—
145#13063284D412yes—
146#13063284D412yes—
147#13063284C2311yescharacteristic
148#13063284C2312yes—
149#13063284C2312yes—
150#13063282—21no—
151C2×C4⋊Dic43D412yes—
152C2×C22⋊Dic43D412yes—
153C2×(C2×D43)⋊C4—22no—
154C2×(C2×D43)⋊C4—22no—
155C22⋊C4×D43—24no—
156C22⋊C4×D43—24no—
157C22⋊C4×D43—24no—
158C22⋊C4×D43—24no—
159C2×C4×Dic43—21no—
160C2×C4×Dic43C2311yescharacteristic
161C2×C4×Dic43C2311yescharacteristic
162C42×D43—21no—
163#13063258C2314yescomplemented
164#13063256C2314yescomplemented
165Dic43⋊C8C2314yescomplemented
166Dic43⋊C8C2314yescomplemented
167#13063248C2314yescomplemented
168#13063247C2314yes—
169#13063247C2314yes—
170#13063245C2314yes—
171#13063245C2314yes—
172#13063245C2314yescomplemented
173C22⋊(C43⋊C8)C2314yes—
174#13063235C2314yescomplemented
175C8×Dic43C2314yescomplemented
176C2×#41×C43C2311yescharacteristic
177C23×C4×C43C2311yescharacteristic
178C2×M16×C43C2312yes—
179#123×C43—21no—
180C22⋊Q8×C43C2312yes—
181#121×C43C2312yes—
182#120×C43—21no—
183C4×D4×C43—22no—
184#117×C43—22no—
185#117×C43C2314yes—
186#117×C43C2311yescharacteristic
187C2×C4⋊C4×C43C2312yes—
188C2×C22⋊C4×C43—21no—
189C2×C42×C43—21no—
190#107×C43C2314yescomplemented
191#106×C43C2314yescomplemented
192#103×C43C2314yescomplemented
193#102×C43C2314yescomplemented
194C22⋊C8×C43C2314yes—
195C24×C43C2×D411yescharacteristic
196C23×D43—22no—
197C23×D43—28no—
198C23×D43—24no—
199C23×D43—84no—
200#41×C43—24no—
201C2×Q8×C43C2411yescharacteristic
202C2×D4×C43—21no—
203C2×D4×C43—22no—
204C2×D4×C43C2411yescharacteristic
205C22×C4×C43—24no—
206C22×C4×C43—21no—
207C22×C4×C43—22no—
208C22×C4×C43C2×D411yescharacteristic
209C22×C4×C43C2×D412yes—
210C22×C4×C43C2412yes—
211C22×C4×C43C2411yescharacteristic
212C2×C22⋊D43—22no—
213C2×C22⋊D43—21no—
214C2×C22⋊D43—22no—
215C22×Dic43—22no—
216C22×Dic43C2×D412yes—
217C22×Dic43C2×D412yes—
218#10621898—24no—
219C2×D172—28no—
220C2×D172—216no—
221C2×D172—22no—
222C2×D172—24no—
223C2×D172—24no—
224C2×D172—216no—
225C2×D172#4118yes—
226C2×D172C2411yescharacteristic
227C2×D172C2414yes—
228C2×C4×D43—21no—
229C2×C4×D43—22no—
230C2×C4×D43—24no—
231C2×C4×D43—24no—
232C2×C4×D43—24no—
233C2×C4×D43—24no—
234C2×C4×D43—84no—
235C2×C4×D43—84no—
236C2×Dic86—22no—
237C2×Dic86C2411yescharacteristic
238M16×C43—24no—
239C2×C8×C43C2414yes—
240C4⋊C4×C43—22no—
241C4⋊C4×C43—22no—
242C4⋊C4×C43C2414yes—
243C4⋊C4×C43C2412yes—
244C22⋊C4×C43—22no—
245C22⋊C4×C43—24no—
246C22⋊C4×C43—21no—
247C22⋊C4×C43—22no—
248C42×C43—24no—
249C42×C43—21no—
250C22⋊Dic43—22no—
251C22⋊Dic43—22no—
252C22⋊Dic43—21no—
253C22⋊Dic43—22no—
254C22⋊Dic43C2×D412yes—
255C22⋊Dic43C2×D412yes—
256C22⋊Dic43C2×D412yes—
257C22⋊Dic43C2×D412yes—
258#10621884—28no—
259#10621882—28no—
260(C2×D43)⋊C4—22no—
261(C2×D43)⋊C4—24no—
262(C2×D43)⋊C4—24no—
263(C2×D43)⋊C4—24no—
264(C2×D43)⋊C4—24no—
265(C2×D43)⋊C4—22no—
266(C2×D43)⋊C4—22no—
267C4⋊Dic43—22no—
268C4⋊Dic43—22no—
269C4⋊Dic43C2×D412yes—
270C4⋊Dic43C2×D412yes—
271C4⋊Dic43C2×D412yes—
272C4⋊Dic43C2×D412yes—
273C4⋊Dic43C2412yes—
274Dic43⋊C4—22no—
275Dic43⋊C4—22no—
276Dic43⋊C4—22no—
277Dic43⋊C4—22no—
278Dic43⋊C4—22no—
279C4×Dic43—21no—
280C4×Dic43—22no—
281C4×Dic43—22no—
282C4×Dic43C2×D411yescharacteristic
283C4×Dic43C2×D411yescharacteristic
284C4×Dic43C2×D412yes—
285C4×Dic43C2412yes—
286C4×Dic43C2411yescharacteristic
287C4×Dic43C2411yescharacteristic
288#10621877—24no—
289C2×C43⋊C8C2414yes—
290D344—28no—
291#10621873—28no—
292C23×C43—22no—
293C23×C43—21no—
294C23×C43—42no—
295C23×C43C22×D412yes—
296C23×C43C22×D411yescharacteristic
297C22×D43—28no—
298C22×D43—24no—
299C22×D43—216no—
300C22×D43—21no—
301C22×D43—44no—
302C22×D43—44no—
303C22×D43—84no—
304C22×D43—84no—
305C22×D43—816no—
306Q8×C43—22no—
307D4×C43—22no—
308D4×C43—42no—
309D4×C43—82no—
310C2×C4×C43—22no—
311C2×C4×C43—24no—
312C2×C4×C43—24no—
313C2×C4×C43—21no—
314C2×C4×C43—22no—
315C2×C4×C43—24no—
316C2×C4×C43—44no—
317C2×C4×C43—42no—
318C2×C4×C43C22×D412yes—
319C2×C4×C43C22×D411yescharacteristic
320C2×C4×C43C2×#4114yes—
321C2×C4×C43C2511yescharacteristic
322C22⋊D43—42no—
323C22⋊D43—82no—
324C22⋊D43—82no—
325C2×Dic43—21no—
326C2×Dic43—22no—
327C2×Dic43—42no—
328C2×Dic43—42no—
329C2×Dic43—82no—
330C2×Dic43C22×D412yes—
331C2×Dic43C22×D412yes—
332C2×Dic43C22×D412yes—
333C2×Dic43C22×D412yes—
334D172—216no—
335D172—28no—
336D172—24no—
337D172—22no—
338D172C2×#4118yes—
339C4×D43—42no—
340C4×D43—82no—
341C4×D43—84no—
342C4×D43—84no—
343C4×D43—84no—
344C4×D43—84no—
345Dic86—22no—
346Dic86—82no—
347C8×C43—24no—
348C43⋊C8—24no—
349#60564—431nomaximal, Sylow
350C22×C43—22no—
351C22×C43—22no—
352C22×C43—22no—
353C22×C43—22no—
354C22×C43—44no—
355C22×C43—42no—
356C22×C43—41no—
357C22×C43#52512yes—
358C22×C43C23×D411yescharacteristic
359C2×D43—28no—
360C2×D43—416no—
361C2×D43—44no—
362C2×D43—44no—
363C2×D43—42no—
364C2×D43—41no—
365C2×D43—816no—
366C4×C43—22no—
367C4×C43—42no—
368C4×C43—44no—
369C4×C43—41no—
370C4×C43#52512yes—
371C4×C43C22×#4112yes—
372Dic43—22no—
373Dic43—22no—
374Dic43—22no—
375Dic43—22no—
376Dic43—42no—
377Dic43—41no—
378#3455—431no—
379C2×#518—431no—
380#3123—434no—
381#3122—434no—
382#3118—434no—
383#3118—434no—
384#3093—431no—
385#3093D4311yescharacteristic, complemented
386#3077—432no—
387#3036—432no—
388#3003—431no—
389#3003—431no—
390C4×AGL(1,ℤ/8)—432no—
391C4×AGL(1,ℤ/8)—432no—
392#2921—431no—
393C2×C43—22no—
394C2×C43—42no—
395C2×C43—81no—
396C2×C43C2×#52511yescharacteristic
397C2×C43#358512yes—
398D43—48no—
399D43—81no—
400C23×D4—431no—
401C2×AGL(1,ℤ/8)—432no—
402C2×AGL(1,ℤ/8)—432no—
403#542—432no—
404#542—432no—
405#541—432no—
406#540—432no—
407#539—862no—
408#538—862no—
409#533—431no—
410#532—431no—
411#529—862no—
412#529—862no—
413#525—431no—
414#525C2×D4311yescharacteristic
415#518—434no—
416#518—434no—
417#518—862no—
418#518—862no—
419C4×#41—431no—
420C4×#41—431no—
421C2×C4×D4—432no—
422C2×C4×D4—432no—
423C2×C4×D4—862no—
424C2×#117—431no—
425C2×#117C2×D4311yescharacteristic
426C22×C22⋊C4—862no—
427#485—434no—
428#485C2×D4314yescomplemented
429#482—434no—
430#482C2×D4314yescomplemented
431#478—434no—
432#478—434no—
433#476—434no—
434#474—434no—
435#463—434no—
436#463—434no—
437#461—434no—
438#459—434no—
439#450—434no—
440#450—434no—
441#447—434no—
442#447—434no—
443#442—434no—
444#442—434no—
445#440—434no—
446#440—434no—
447C4×SD16—434no—
448C4×SD16—434no—
449C4×D8—434no—
450C4×D8—434no—
451#433—434no—
452#433—434no—
453#428—432no—
454#428C2×D4312yescomplemented
455#423—432no—
456#418—432no—
457#418—432no—
458#417—432no—
459#417C2×D4312yescomplemented
460#407—431no—
461#407C2×D4311yescharacteristic
462C4×M16—432no—
463C43#6056411yescharacteristic, complemented, Sylow
464C25—861no—
465C2×#41—431no—
466C2×#41C22×D4311yescharacteristic
467C22×D4—432no—
468C22×D4—434no—
469C22×D4—868no—
470C22×D4—861no—
471C22×D4—862no—
472C23×C4—862no—
473C23×C4—862no—
474C23×C4C22×D4311yescharacteristic
475AGL(1,ℤ/8)—868no—
476AGL(1,ℤ/8)—868no—
477C2×SD16—434no—
478C2×SD16—434no—
479C2×D8—434no—
480C2×D8—434no—
481C2×M16—432no—
482C2×M16C22×D4312yes—
483C4⋊Q8—432no—
484C4⋊Q8—431no—
485#127—431no—
486#126—862no—
487#126—862no—
488#126—862no—
489#126—862no—
490#125—432no—
491#125—862no—
492#125—862no—
493#124—431no—
494#124—431no—
495#124—862no—
496#124—862no—
497#123—21no—
498#123—862no—
499#123—862no—
500#123—862no—
501#123—862no—
502#123—861no—
503C22⋊Q8—432no—
504C22⋊Q8—862no—
505C22⋊Q8—862no—
506C22⋊Q8—862no—
507C22⋊Q8C22×D4312yes—
508#121—432no—
509#121—862no—
510#121—862no—
511#121—862no—
512#121C22×D4312yes—
513#120—21no—
514#120—861no—
515C4×Q8—432no—
516C4×Q8—432no—
517C4×Q8—862no—
518C4×D4—22no—
519C4×D4—432no—
520C4×D4—434no—
521C4×D4—434no—
522C4×D4—434no—
523C4×D4—434no—
524C4×D4—432no—
525C4×D4—864no—
526C4×D4—864no—
527C4×D4—864no—
528C4×D4—864no—
529C4×D4—862no—
530C4×D4—862no—
531C4×D4—862no—
532C4×D4—862no—
533C4×D4—862no—
534C4×D4—862no—
535C4×D4—862no—
536C4×D4—862no—
537#117—22no—
538#117—432no—
539#117—432no—
540#117—432no—
541#117—432no—
542#117—431no—
543#117—861no—
544#117—861no—
545#117C22×D4314yes—
546#117C22×D4311yescharacteristic
547C2×C4⋊C4—432no—
548C2×C4⋊C4C22×D4312yes—
549C2×C22⋊C4—21no—
550C2×C22⋊C4—432no—
551C2×C22⋊C4—864no—
552C2×C22⋊C4—864no—
553C2×C22⋊C4—864no—
554C2×C22⋊C4—864no—
555C2×C22⋊C4—862no—
556C2×C22⋊C4—862no—
557C2×C42—21no—
558C2×C42—431no—
559C2×C42—431no—
560C2×C42—861no—
561C2×C42—861no—
562#107—434no—
563#107C22×D4314yescomplemented
564#106—434no—
565#106C22×D4314yescomplemented
566C4⋊C8—434no—
567C4⋊C8—434no—
568#103—434no—
569#103C22×D4314yescomplemented
570#102—434no—
571#102—434no—
572#102—434no—
573#102—434no—
574#102—434no—
575#102C22×D4314yescomplemented
576C22⋊C8—434no—
577C22⋊C8C22×D4314yes—
578#97—434no—
579C4×C8—434no—
580C24—868no—
581C24—864no—
582C24—862no—
583C24—3444no—
584C24D4×D4311yescharacteristic
585#41—24no—
586#41—864no—
587C2×Q8—431no—
588C2×Q8—862no—
589C2×Q8C23×D4311yescharacteristic
590C2×D4—21no—
591C2×D4—22no—
592C2×D4—438no—
593C2×D4—434no—
594C2×D4—431no—
595C2×D4—8616no—
596C2×D4—868no—
597C2×D4—8616no—
598C2×D4—862no—
599C2×D4—862no—
600C2×D4—861no—
601C2×D4—864no—
602C2×D4—862no—
603C2×D4—864no—
604C2×D4C23×D4311yescharacteristic
605C22×C4—24no—
606C22×C4—22no—
607C22×C4—21no—
608C22×C4—432no—
609C22×C4—432no—
610C22×C4—862no—
611C22×C4—864no—
612C22×C4—864no—
613C22×C4—864no—
614C22×C4—864no—
615C22×C4—862no—
616C22×C4—861no—
617C22×C4—3444no—
618C22×C4—3444no—
619C22×C4D4×D4311yescharacteristic
620C22×C4D4×D4312yes—
621C22×C4C23×D4312yes—
622C22×C4C23×D4311yescharacteristic
623SD16—868no—
624SD16—868no—
625D8—868no—
626D8—868no—
627M16—24no—
628M16—864no—
629C2×C8—434no—
630C2×C8C23×D4314yes—
631C4⋊C4—22no—
632C4⋊C4—22no—
633C4⋊C4—432no—
634C4⋊C4—432no—
635C4⋊C4—432no—
636C4⋊C4—432no—
637C4⋊C4—432no—
638C4⋊C4—862no—
639C4⋊C4—862no—
640C4⋊C4—862no—
641C4⋊C4—862no—
642C4⋊C4—862no—
643C4⋊C4—862no—
644C4⋊C4—862no—
645C4⋊C4C23×D4312yes—
646C4⋊C4C23×D4314yes—
647C22⋊C4—24no—
648C22⋊C4—21no—
649C22⋊C4—22no—
650C22⋊C4—22no—
651C22⋊C4—432no—
652C22⋊C4—432no—
653C22⋊C4—432no—
654C22⋊C4—432no—
655C22⋊C4—864no—
656C22⋊C4—864no—
657C22⋊C4—864no—
658C22⋊C4—864no—
659C22⋊C4—862no—
660C22⋊C4—862no—
661C22⋊C4—862no—
662C22⋊C4—862no—
663C22⋊C4—861no—
664C22⋊C4—862no—
665C22⋊C4—862no—
666C42—24no—
667C42—21no—
668C42—431no—
669C42—431no—
670C42—432no—
671C42—432no—
672C42—431no—
673C42—431no—
674C42—862no—
675C42—862no—
676C42—861no—
677C23—22no—
678C23—21no—
679C23—42no—
680C23—8616no—
681C23—868no—
682C23—864no—
683C23—861no—
684C23—3444no—
685C23—3444no—
686C23—34416no—
687C23—1724no—
688C23—1724no—
689C23C2×D4×D4312yes—
690C23C2×D4×D4311yescharacteristic
691Q8—22no—
692Q8—862no—
693Q8—3442no—
694D4—22no—
695D4—42no—
696D4—82no—
697D4—438no—
698D4—8616no—
699D4—868no—
700D4—864no—
701D4—862no—
702D4—3442no—
703D4—3442no—
704D4—1722no—
705C2×C4—22no—
706C2×C4—24no—
707C2×C4—24no—
708C2×C4—24no—
709C2×C4—22no—
710C2×C4—21no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—432no—
714C2×C4—432no—
715C2×C4—432no—
716C2×C4—432no—
717C2×C4—862no—
718C2×C4—861no—
719C2×C4—3444no—
720C2×C4—3444no—
721C2×C4—3444no—
722C2×C4—3444no—
723C2×C4—3442no—
724C2×C4—3442no—
725C2×C4—1722no—
726C2×C4—1722no—
727C2×C4—1722no—
728C2×C4C2×D4×D4312yes—
729C2×C4C2×D4×D4311yescharacteristic
730C2×C4#41×D4314yes—
731C2×C4C24×D4311yescharacteristic
732C8—24no—
733C8—864no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—44no—
739C22—41no—
740C22—42no—
741C22—868no—
742C22—34416no—
743C22—17216no—
744C22—1721no—
745C22—1722no—
746C22—1724no—
747C22—1724no—
748C22#1458340712yes—
749C22C22×D4×D4311yescharacteristic
750C4—22no—
751C4—41no—
752C4—44no—
753C4—42no—
754C4—862no—
755C4—862no—
756C4—862no—
757C4—862no—
758C4—1721no—
759C4—1722no—
760C4#1458340712yes—
761C4C2×#41×D4312yes—
762C2—22no—
763C2—42no—
764C2—81no—
765C2—3441no—
766C2—1728no—
767C2C2×#1458340711yescharacteristic
768C2#1914937212yes—
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3093C2
socleC22×C43C23×D4
hypercenter#3093D43
hypocenterC43#60564
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3093

Complements

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

NH ≅ G/Ntype
1. #19147983C2semidirect
2. C2×#14583373C2semidirect
3. #19144843C2semidirect
4. #19144834C2semidirect
5. #19144782C2semidirect
6. #19144774C2semidirect
7. #19144526C2semidirect
8. #19144391C2semidirect
9. #19144058C2semidirect
10. #19143825C2semidirect
11. #19143821C2semidirect
12. #19143408C2semidirect
13. #19143402C2semidirect
14. #19143230C2semidirect
15. C43×#3093C2semidirect
19. #14583522C22semidirect
20. #14583516C22semidirect
21. #14583509C22semidirect
22. #14583502C22semidirect
25. #14583452C22semidirect
26. #14583445C22semidirect
34. #41×Dic43C22semidirect
35. #14583367C22semidirect
41. #14583240C22semidirect
42. #14583223C22semidirect
43. #14583202C22semidirect
44. #14583198C22semidirect
45. #14583188C22semidirect
46. #14583178C22semidirect
47. #14583117C22semidirect
48. #14583113C22semidirect
49. #14583103C22semidirect
50. #14583093C22semidirect
55. #14583010C22semidirect
56. #14583008C22semidirect
57. #14583002C22semidirect
58. #14582998C22semidirect
59. #14582986C22semidirect
60. #14582984C22semidirect
61. #14582981C22semidirect
62. #14582979C22semidirect
63. #14582957C22semidirect
64. #14582957C22semidirect
65. #14582939C22semidirect
66. #14582922C22semidirect
69. #14582898C22semidirect
71. M16×Dic43C22semidirect
74. C43×#485C22semidirect
75. C43×#482C22semidirect
76. C43×#428C22semidirect
77. C43×#417C22semidirect
95. #13063324C23semidirect
96. #13063323C23semidirect
97. #13063321C23semidirect
103. #13063316C23semidirect
105. #13063314C23semidirect
107. #13063312C23semidirect
123. Q8×Dic43C23semidirect
125. #13063290C23semidirect
131. D4×Dic43C23semidirect
140. #13063287C23semidirect
163. #13063258C23semidirect
164. #13063256C23semidirect
165. Dic43⋊C8C23semidirect
166. Dic43⋊C8C23semidirect
167. #13063248C23semidirect
172. #13063245C23semidirect
174. #13063235C23semidirect
175. C8×Dic43C23semidirect
190. #107×C43C23semidirect
191. #106×C43C23semidirect
192. #103×C43C23semidirect
193. #102×C43C23semidirect
385. #3093D43semidirect
428. #485C2×D43semidirect
430. #482C2×D43semidirect
454. #428C2×D43semidirect
459. #417C2×D43semidirect
463. C43#60564semidirect
563. #107C22×D43semidirect
565. #106C22×D43semidirect
569. #103C22×D43semidirect
575. #102C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191479832
C2×#145833732
#191448432
#191448342
#191447822
#191447742
#191445262
#191443912
#191440582
#191438252
#191438212
#191434082
#191434022
#191432302
C43×#30932
#6056443