Finite Group Databasebeta

← #30560110

Subgroups — #30560110

Order 15616.

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#21459681C211yesmaximal, characteristic, complemented
2#21459622C211yesmaximal, characteristic, complemented
3#21458643C214yesmaximal, complemented
4#21458595C214yesmaximal, complemented
5#21458565C214yesmaximal, complemented
6#21458532C214yesmaximal, complemented
7#21456187C212yesmaximal, complemented
8#21456164C211yesmaximal, characteristic, complemented
9#21455674C212yesmaximal, complemented
10#21455626C211yesmaximal, characteristic, complemented
11#21455333C212yesmaximal, complemented
12#21454756C211yesmaximal, characteristic, complemented
13#21454652C212yesmaximal, complemented
14C2×#16839862C211yesmaximal, characteristic, complemented
15C61×#3036C211yesmaximal, characteristic
16C22×#11758200C2211yescharacteristic
17#16840498C2212yescomplemented
18#16840487C2212yescomplemented
19#16840482—21no—
20#16840481C2214yescomplemented
21#16840471—22no—
22#16840471C2214yes—
23#16840469—21no—
24#16840469—21no—
25#16840469C2212yes—
26#16840452—22no—
27D4×Dic122—21no—
28D4×Dic122C2212yes—
29#16840393C2212yes—
30#16840388—22no—
31#16840357—22no—
32#16840333C2212yes—
33#16840319C2211yescharacteristic
34#16840319C2211yescharacteristic
35#16840293—22no—
36C2×#14519756—22no—
37#16840245C2212yes—
38#16840237C2212yes—
39C2×C4×Dic122C2211yescharacteristic
40#16840130C2212yescomplemented
41#16840129C2214yescomplemented
42#16840126C2212yescomplemented
43#16840121C2212yescomplemented
44#16840121C2212yescomplemented
45#16840120C2214yescomplemented
46#16840115C2214yescomplemented
47#16840111C2214yescomplemented
48#16840070C2214yescomplemented
49#16840067C2214yescomplemented
50#16840064C2214yescomplemented
51#16840058C2212yescomplemented
52#16840055C2214yescomplemented
53#16840048C2212yescomplemented
54#16840040C2214yescomplemented
55#16839975C2214yes—
56#16839975C2214yes—
57#16839965C2214yes—
58#16839965C2214yes—
59#16839891C2214yescomplemented
60#16839891C2214yescomplemented
61#16839874C2214yes—
62#16839863C2214yes—
63#16839862C2214yes—
64#16839862C2214yes—
65SD16×Dic61C2214yes—
66D8×Dic61C2214yes—
67#16839804C2212yes—
68C2×#14519710C2211yescharacteristic
69#16839790C2212yes—
70#16839772C2212yes—
71#16839758C2212yes—
72#16839758C2212yes—
73C2×#14519700C2211yescharacteristic
74C2×#14519698C2211yescharacteristic
75#16839720C2212yes—
76C2×#14519688C2211yescharacteristic
77C2×AGL(1,ℤ/8)×C61C2212yes—
78C61×#532C2211yescharacteristic
79C2×C4×D4×C61C2211yescharacteristic
80C61×#463C2214yes—
81C61×#461C2212yes—
82C61×#459C2212yes—
83C61×#423C2211yescharacteristic
84C61×#417C2212yes—
85C22×Dic122—22no—
86C22×Dic122C2311yescharacteristic
87C2×#11758200—24no—
88C2×#11758200C2314yes—
89C22×#92418C2311yescharacteristic
90C22×#92418C2311yescharacteristic
91#14519777D411yescharacteristic
92#14519777D411yescharacteristic
93#14519777C2311yescharacteristic
94#14519777C2311yescharacteristic
95#14519776—22no—
96#14519776C2314yes—
97#14519775C2314yes—
98#14519770—24no—
99#14519770—24no—
100#14519769D412yes—
101#14519769C2312yes—
102#14519768—22no—
103#14519768—22no—
104#14519768C2314yes—
105#14519767—24no—
106#14519764—22no—
107#14519764C2314yes—
108#14519758—24no—
109#14519758—24no—
110#14519756—21no—
111#14519756—21no—
112#14519756—22no—
113#14519756—24no—
114#14519756—22no—
115#14519756—22no—
116#14519756—22no—
117#14519756—24no—
118#14519756D412yes—
119#14519756D412yes—
120#14519754—24no—
121#14519754—24no—
122#14519754—24no—
123#14519754—24no—
124#14519754—24no—
125Q8×Dic61C2314yes—
126C4×Dic122—21no—
127C4×Dic122—21no—
128C4×Dic122—21no—
129C4×Dic122—21no—
130C4×Dic122C2312yes—
131C4×Dic122C2312yes—
132C4×Dic122C2312yes—
133C4×Dic122C2312yes—
134#14519742—22no—
135D4×Dic61—24no—
136D4×Dic61—22no—
137D4×Dic61—22no—
138D4×Dic61—22no—
139D4×Dic61C2314yes—
140D4×Dic61C2314yes—
141D4×Dic61C2314yes—
142#14519736—22no—
143#14519736C2312yes—
144#14519736C2312yes—
145#14519733—24no—
146C2×C4⋊Dic61—22no—
147C2×C4⋊Dic61—22no—
148C2×C4⋊Dic61C2311yescharacteristic
149C2×#11758196—21no—
150C2×#11758196—24no—
151C2×C22⋊Dic61—24no—
152C2×C4×Dic61—21no—
153#14519711C2314yes—
154#14519710C2314yes—
155#14519709C2314yes—
156#14519706C2314yes—
157#14519706C2314yes—
158#14519702C2314yes—
159#14519702C2314yes—
160#14519701C2312yes—
161#14519701C2312yes—
162#14519701C2312yes—
163#14519701C2312yes—
164#14519700C2314yes—
165#14519698C2312yes—
166#14519698C2312yes—
167#14519698C2314yes—
168#14519698C2312yes—
169#14519698C2312yes—
170#14519688C2312yes—
171#14519688C2312yes—
172#14519687C2314yes—
173C8×Dic61C2314yes—
174C2×#41×C61C2312yes—
175C22×D4×C61C2311yescharacteristic
176C23×C4×C61—21no—
177AGL(1,ℤ/8)×C61—28no—
178C2×SD16×C61C2314yes—
179C2×D8×C61C2314yes—
180C2×M16×C61C2312yes—
181C4⋊Q8×C61C2311yescharacteristic
182#127×C61C2311yescharacteristic
183#124×C61C2312yes—
184#121×C61—21no—
185#121×C61—21no—
186C4×D4×C61—21no—
187C4×D4×C61—21no—
188C4×D4×C61—21no—
189C4×D4×C61—21no—
190C4×D4×C61C2312yes—
191C4×D4×C61C2312yes—
192C2×C4⋊C4×C61C2311yescharacteristic
193C2×C22⋊C4×C61—21no—
194C2×C42×C61C2311yescharacteristic
195C4⋊C8×C61C2312yes—
196C4⋊C8×C61C2312yes—
197#103×C61C2314yes—
198#102×C61C2314yes—
199C24×C61—21no—
200#41×C61—24no—
201#41×C61—24no—
202C2×Q8×C61C2412yes—
203C2×D4×C61—22no—
204C2×D4×C61—21no—
205C2×D4×C61—21no—
206C2×D4×C61—21no—
207C2×D4×C61—22no—
208C2×D4×C61#4114yes—
209C2×D4×C61C2412yes—
210C2×D4×C61C2412yes—
211C22×C4×C61—21no—
212C22×C4×C61—22no—
213C22×C4×C61—22no—
214C22×C4×C61—22no—
215C22×C4×C61—82no—
216C22×C4×C61C2×D411yescharacteristic
217C22×C4×C61C2×D411yescharacteristic
218C22×C4×C61C2411yescharacteristic
219C22×Dic61—21no—
220C22×Dic61—21no—
221C22×Dic61—24no—
222C22×Dic61—24no—
223C22×Dic61—24no—
224C2×Dic122—22no—
225C2×Dic122—22no—
226C2×Dic122—21no—
227C2×Dic122—21no—
228C2×Dic122—21no—
229C2×Dic122—24no—
230C2×Dic122—84no—
231C2×Dic122C2×D412yes—
232C2×Dic122C2×D412yes—
233C2×Dic122C2412yes—
234SD16×C61—28no—
235D8×C61—28no—
236M16×C61—24no—
237C2×C8×C61C2414yes—
238C4⋊C4×C61—21no—
239C4⋊C4×C61—21no—
240C4⋊C4×C61—21no—
241C4⋊C4×C61C2412yes—
242C22⋊C4×C61—22no—
243C22⋊C4×C61—22no—
244C22⋊C4×C61—22no—
245C22⋊C4×C61—22no—
246C42×C61C2×D411yescharacteristic
247C42×C61C2×D411yescharacteristic
248C42×C61C2411yescharacteristic
249C42×C61C2411yescharacteristic
250C22⋊Dic61—22no—
251C22⋊Dic61—24no—
252C22⋊Dic61—24no—
253C22⋊Dic61—24no—
254C22⋊Dic61—24no—
255C22⋊Dic61—24no—
256C22⋊Dic61C2×D414yes—
257#11758200—28no—
258C4⋊Dic61—21no—
259C4⋊Dic61—21no—
260C4⋊Dic61—21no—
261C4⋊Dic61—24no—
262C4⋊Dic61—24no—
263C4⋊Dic61C2×D412yes—
264C4⋊Dic61C2×D412yes—
265C4⋊Dic61C2×D412yes—
266C4⋊Dic61C2×D412yes—
267C4⋊Dic61C2412yes—
268C4⋊Dic61C2412yes—
269C4⋊Dic61C2412yes—
270#11758196—22no—
271#11758196—22no—
272#11758196—22no—
273#11758196—22no—
274#11758196—24no—
275#11758196—24no—
276#11758196—24no—
277#11758196—24no—
278#11758196C2×D414yes—
279#11758196C2×D414yes—
280C4×Dic61—22no—
281C4×Dic61—22no—
282C4×Dic61—22no—
283C4×Dic61—24no—
284C4×Dic61C2414yes—
285C2×#92418—22no—
286C2×#92418—22no—
287C2×#92418C2412yes—
288C2×#92418C2412yes—
289C23×C61—22no—
290C23×C61—24no—
291C23×C61—22no—
292C23×C61—81no—
293C23×C61—81no—
294C23×C61C22×D411yescharacteristic
295Q8×C61—22no—
296Q8×C61—22no—
297D4×C61—24no—
298D4×C61—22no—
299D4×C61—22no—
300D4×C61—22no—
301D4×C61—42no—
302D4×C61—44no—
303D4×C61—81no—
304D4×C61C2×#4114yes—
305C2×C4×C61—22no—
306C2×C4×C61—22no—
307C2×C4×C61—41no—
308C2×C4×C61—41no—
309C2×C4×C61—44no—
310C2×C4×C61—44no—
311C2×C4×C61—82no—
312C2×C4×C61—81no—
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C2×#4112yes—
319C2×C4×C612−1+412yes—
320C2×C4×C61C2511yescharacteristic
321C2×Dic61—22no—
322C2×Dic61—22no—
323C2×Dic61—22no—
324C2×Dic61—22no—
325C2×Dic61—42no—
326C2×Dic61—84no—
327C2×Dic61—84no—
328C2×Dic61—84no—
329C2×Dic61—81no—
330C2×Dic61C22×D414yes—
331C2×Dic61C22×D414yes—
332Dic122—22no—
333Dic122—22no—
334Dic122—42no—
335Dic122—42no—
336Dic122—42no—
337Dic122—42no—
338Dic122—84no—
339Dic122—81no—
340C8×C61—24no—
341#92418—22no—
342#92418—22no—
343#61333—611nomaximal, Sylow
344C22×C61—21no—
345C22×C61—21no—
346C22×C61—24no—
347C22×C61—42no—
348C22×C61—42no—
349C22×C61—42no—
350C22×C61—42no—
351C22×C61—42no—
352C22×C61—84no—
353C22×C61#54812yes—
354C22×C61C23×D411yescharacteristic
355C4×C61—21no—
356C4×C61—21no—
357C4×C61—21no—
358C4×C61—21no—
359C4×C61—42no—
360C4×C61—42no—
361C4×C61#54812yes—
362C4×C61C22×#4111yescharacteristic
363C4×C61C2×2−1+411yescharacteristic
364Dic61—24no—
365Dic61—24no—
366Dic61—42no—
367Dic61—42no—
368Dic61—42no—
369Dic61—42no—
370#3507—611no—
371#3501—611no—
372#3376—614no—
373#3372—614no—
374#3370—614no—
375#3367—614no—
376#3137—612no—
377#3135—611no—
378#3083—612no—
379#3078—611no—
380#3042—612no—
381#3036D6111yescharacteristic
382#2961—611no—
383#2946—612no—
384C2×#440—611no—
385C2×C61—22no—
386C2×C61—44no—
387C2×C61—82no—
388C2×C61C2×#54811yescharacteristic
389C2×C61#358511yescharacteristic
390C2×C61#358611yescharacteristic
391C2×AGL(1,ℤ/8)C2×D6112yes—
392C22×SD16—611no—
393#559—612no—
394#557—612no—
395#556—614no—
396#556—1221no—
397#554—612no—
398#554—614no—
399#554—1222no—
400#554—1221no—
401#554—1221no—
402#552—1222no—
403D4×Q8—612no—
404D4×Q8—1221no—
405#544—612no—
406#543—1222no—
407#539—1222no—
408#536—612no—
409#533—611no—
410#533—611no—
411#532C2×D6111yescharacteristic
412#529—1222no—
413C2×C22⋊Q8—1222no—
414#520—612no—
415#518—612no—
416C2×C4×Q8—611no—
417C2×C4×D4C2×D6111yescharacteristic
418#491—612no—
419#491—614no—
420#490—612no—
421#489—612no—
422#489—612no—
423#489—614no—
424#488—614no—
425#487—614no—
426#479—614no—
427#479—614no—
428#478—614no—
429#477—612no—
430#477—614no—
431#475—612no—
432#474—614no—
433#463—614no—
434#463—614no—
435#463C2×D6114yes—
436#461—614no—
437#461—614no—
438#461C2×D6112yes—
439#459C2×D6112yes—
440#446—614no—
441#446—614no—
442#442—614no—
443#440—614no—
444#440—614no—
445#440—614no—
446C4×SD16—614no—
447C4×D8—614no—
448#428—612no—
449C2×#107—611no—
450#424—612no—
451#423C2×D6111yescharacteristic
452#419—612no—
453#417C2×D6112yes—
454#416—612no—
455#416—612no—
456C2×#103—611no—
457C2×#102—611no—
458#405—612no—
459C2×#97—611no—
460C61#6133311yescharacteristic, complemented, Sylow
461C2×#41C22×D6112yes—
462C22×Q8—611no—
463C22×Q8—1222no—
464C22×D4C22×D6111yescharacteristic
465C23×C4—21no—
466AGL(1,ℤ/8)—28no—
467C2×SD16—614no—
468C2×SD16—1224no—
469C2×SD16C22×D6114yes—
470C2×D8C22×D6114yes—
471C2×M16C22×D6112yes—
472C22×C8—611no—
473C22×C8—611no—
474C4⋊Q8—614no—
475C4⋊Q8—614no—
476C4⋊Q8—611no—
477C4⋊Q8—611no—
478C4⋊Q8—611no—
479C4⋊Q8—611no—
480C4⋊Q8—1222no—
481C4⋊Q8C22×D6111yescharacteristic
482#127C22×D6111yescharacteristic
483#126—1224no—
484#126—1224no—
485#125—614no—
486#125—612no—
487#125—612no—
488#125—1222no—
489#125—1224no—
490#125—1222no—
491#124—614no—
492#124—1222no—
493#124C22×D6112yes—
494#123—1224no—
495#123—1224no—
496C22⋊Q8—612no—
497C22⋊Q8—612no—
498C22⋊Q8—1224no—
499C22⋊Q8—1224no—
500C22⋊Q8—1224no—
501C22⋊Q8—1224no—
502C22⋊Q8—1224no—
503C22⋊Q8—1224no—
504C22⋊Q8—1222no—
505C22⋊Q8—1224no—
506C22⋊Q8—1222no—
507C22⋊Q8—1222no—
508C22⋊Q8—1222no—
509C22⋊Q8—1221no—
510C22⋊Q8—1221no—
511#121—21no—
512#121—21no—
513C4×Q8—612no—
514C4×Q8—612no—
515C4×Q8—614no—
516C4×Q8—612no—
517C4×Q8—612no—
518C4×Q8—1222no—
519C4×Q8—1221no—
520C4×Q8—1221no—
521C4×Q8—1221no—
522C4×Q8—1221no—
523C4×D4—21no—
524C4×D4—21no—
525C4×D4—21no—
526C4×D4—21no—
527C4×D4—614no—
528C4×D4—614no—
529C4×D4—614no—
530C4×D4—1224no—
531C4×D4—1222no—
532C4×D4—1222no—
533C4×D4—1222no—
534C4×D4C22×D6112yes—
535C4×D4C22×D6112yes—
536#117—612no—
537#117—612no—
538#117—1224no—
539#117—1222no—
540C2×C4⋊C4—611no—
541C2×C4⋊C4—1222no—
542C2×C4⋊C4—1224no—
543C2×C4⋊C4—1222no—
544C2×C4⋊C4—1221no—
545C2×C4⋊C4C22×D6111yescharacteristic
546C2×C22⋊C4—21no—
547C2×C22⋊C4—1224no—
548C2×C42—1221no—
549C2×C42C22×D6111yescharacteristic
550#107—614no—
551#107—614no—
552#106—614no—
553C4⋊C8—614no—
554C4⋊C8—614no—
555C4⋊C8C22×D6112yes—
556C4⋊C8C22×D6112yes—
557#103—612no—
558#103—612no—
559#103—612no—
560#103—612no—
561#103—614no—
562#103—614no—
563#103—614no—
564#103C22×D6114yes—
565#102—614no—
566#102—612no—
567#102—612no—
568#102—612no—
569#102—612no—
570#102C22×D6114yes—
571#97—614no—
572#97—612no—
573#97—612no—
574C4×C8—614no—
575C24—21no—
576#41—24no—
577#41—24no—
578C2×Q8—612no—
579C2×Q8—612no—
580C2×Q8—612no—
581C2×Q8—1224no—
582C2×Q8—1221no—
583C2×Q8—1221no—
584C2×Q8—1221no—
585C2×Q8—1222no—
586C2×Q8—1222no—
587C2×Q8—4884no—
588C2×Q8C23×D6112yes—
589C2×D4—22no—
590C2×D4—21no—
591C2×D4—21no—
592C2×D4—21no—
593C2×D4—22no—
594C2×D4#1175822414yes—
595C2×D4C23×D6112yes—
596C2×D4C23×D6112yes—
597C22×C4—21no—
598C22×C4—22no—
599C22×C4—22no—
600C22×C4—22no—
601C22×C4—82no—
602C22×C4—1224no—
603C22×C4—1224no—
604C22×C4—1224no—
605C22×C4—1221no—
606C22×C4—1221no—
607C22×C4D4×D6111yescharacteristic
608C22×C4D4×D6111yescharacteristic
609C22×C4C23×D6111yescharacteristic
610SD16—28no—
611SD16—1228no—
612D8—28no—
613M16—24no—
614C2×C8—612no—
615C2×C8—612no—
616C2×C8—1222no—
617C2×C8—1222no—
618C2×C8C23×D6114yes—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—614no—
623C4⋊C4—612no—
624C4⋊C4—612no—
625C4⋊C4—614no—
626C4⋊C4—612no—
627C4⋊C4—612no—
628C4⋊C4—612no—
629C4⋊C4—612no—
630C4⋊C4—612no—
631C4⋊C4—1224no—
632C4⋊C4—1224no—
633C4⋊C4—1224no—
634C4⋊C4—1224no—
635C4⋊C4—1224no—
636C4⋊C4—1224no—
637C4⋊C4—1221no—
638C4⋊C4—1222no—
639C4⋊C4—1221no—
640C4⋊C4—1222no—
641C4⋊C4—1222no—
642C4⋊C4—1222no—
643C4⋊C4—1221no—
644C4⋊C4C23×D6112yes—
645C22⋊C4—22no—
646C22⋊C4—22no—
647C22⋊C4—22no—
648C22⋊C4—22no—
649C22⋊C4—614no—
650C22⋊C4—1224no—
651C22⋊C4—1224no—
652C22⋊C4—1224no—
653C22⋊C4—1224no—
654C22⋊C4—1224no—
655C22⋊C4—1222no—
656C42—614no—
657C42—1224no—
658C42—1222no—
659C42—1222no—
660C42—1222no—
661C42D4×D6111yescharacteristic
662C42D4×D6111yescharacteristic
663C42C23×D6111yescharacteristic
664C42C23×D6111yescharacteristic
665C23—22no—
666C23—24no—
667C23—22no—
668C23—81no—
669C23—81no—
670C23C2×D4×D6111yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—1222no—
674Q8—1222no—
675Q8—4881no—
676Q8—4884no—
677Q8—2442no—
678Q8—2442no—
679Q8—2442no—
680Q8—2442no—
681D4—22no—
682D4—22no—
683D4—22no—
684D4—24no—
685D4—42no—
686D4—44no—
687D4—81no—
688D4C2×#1175822414yes—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—82no—
696C2×C4—81no—
697C2×C4—614no—
698C2×C4—614no—
699C2×C4—1222no—
700C2×C4—1222no—
701C2×C4—1222no—
702C2×C4—1222no—
703C2×C4—4884no—
704C2×C4—4884no—
705C2×C4—4884no—
706C2×C4—4881no—
707C2×C4—2442no—
708C2×C4C2×D4×D6111yescharacteristic
709C2×C4C2×D4×D6111yescharacteristic
710C2×C4C2×D4×D6111yescharacteristic
711C2×C4C2×D4×D6111yescharacteristic
712C2×C4C2×D4×D6111yescharacteristic
713C2×C4C2×#1175822412yes—
714C2×C4#1451982412yes—
715C2×C4C24×D6111yescharacteristic
716C8—24no—
717C8—1222no—
718C8—1222no—
719C22—21no—
720C22—21no—
721C22—24no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—84no—
728C22#1684041812yes—
729C22C22×D4×D6111yescharacteristic
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—42no—
735C4—42no—
736C4—1224no—
737C4—1224no—
738C4—2442no—
739C4—2442no—
740C4—2442no—
741C4—2442no—
742C4#1684041812yes—
743C4C22×#1175822411yescharacteristic
744C4C2×#1451982411yescharacteristic
745C2—22no—
746C2—44no—
747C2—82no—
748C2C2×#1684041811yescharacteristic
749C2#2146059511yescharacteristic
750C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
Fitting, prime radicalC61×#3036C2
socleC22×C61C23×D4
hypercenter#3036D61
hypocenterC61#61333
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3036

Complements

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

NH ≅ G/Ntype
1. #21459681C2semidirect
2. #21459622C2semidirect
3. #21458643C2semidirect
4. #21458595C2semidirect
5. #21458565C2semidirect
6. #21458532C2semidirect
7. #21456187C2semidirect
8. #21456164C2semidirect
9. #21455674C2semidirect
10. #21455626C2semidirect
11. #21455333C2semidirect
12. #21454756C2semidirect
13. #21454652C2semidirect
14. C2×#16839862C2semidirect
17. #16840498C22semidirect
18. #16840487C22semidirect
20. #16840481C22semidirect
40. #16840130C22semidirect
41. #16840129C22semidirect
42. #16840126C22semidirect
43. #16840121C22semidirect
44. #16840121C22semidirect
45. #16840120C22semidirect
46. #16840115C22semidirect
47. #16840111C22semidirect
48. #16840070C22semidirect
49. #16840067C22semidirect
50. #16840064C22semidirect
51. #16840058C22semidirect
52. #16840055C22semidirect
53. #16840048C22semidirect
54. #16840040C22semidirect
59. #16839891C22semidirect
60. #16839891C22semidirect
460. C61#61333semidirect

Maximal subgroups

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

subgroupindex
#214596812
#214596222
#214586432
#214585952
#214585652
#214585322
#214561872
#214561642
#214556742
#214556262
#214553332
#214547562
#214546522
C2×#168398622
C61×#30362
#6133361