Finite Group Databasebeta

← #30570349

Subgroups — #30570349

Order 15616.

1772 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460217C211yesmaximal, characteristic, complemented
2#21459620C211yesmaximal, characteristic, complemented
3#21458774C214yesmaximal, complemented
4#21458722C212yesmaximal, complemented
5#21458685C212yesmaximal, complemented
6#21458525C212yesmaximal, complemented
7#21458523C214yesmaximal, complemented
8#21458453C212yesmaximal, complemented
9#21457070C214yesmaximal, complemented
10#21456955C211yesmaximal, characteristic, complemented
11#21456058C214yesmaximal, complemented
12#21455911C211yesmaximal, characteristic, complemented
13#21455815C211yesmaximal, characteristic, complemented
14#21454916C211yesmaximal, characteristic, complemented
15C61×#3235C211yesmaximal, characteristic, complemented
16#16840506—22no—
17#16840473C2212yes—
18#16840473C2212yescomplemented
19#16840472—21no—
20#16840472—22no—
21#16840469C2212yescomplemented
22#16840468C2214yes—
23#16840433C2212yescomplemented
24#16840432C2212yescomplemented
25Q8×D244—21no—
26#16840427C2212yes—
27#16840417—21no—
28#16840416—21no—
29#16840390C2212yes—
30#16840387—22no—
31#16840365C2214yes—
32#16840341—22no—
33#16840340—22no—
34#16840319C2211yescharacteristic
35#16840312C2211yescharacteristic
36C22⋊Q8×D61—22no—
37#16840236C2212yes—
38C2×C4×D244C2211yescharacteristic
39#16840170C2214yescomplemented
40#16840165C2211yescharacteristic, complemented
41#16840162C2214yescomplemented
42#16840158C2211yescharacteristic, complemented
43#16840125C2214yescomplemented
44#16840110C2211yescharacteristic, complemented
45#16840110C2211yescharacteristic, complemented
46#16840107C2214yescomplemented
47#16840086C2214yes—
48#16840081C2212yes—
49#16840073C2212yes—
50#16840065C2214yes—
51#16840064C2214yescomplemented
52#16840061C2214yes—
53#16840061C2214yescomplemented
54#16840059C2214yescomplemented
55#16840053C2212yes—
56#16840050C2214yescomplemented
57#16840041C2214yescomplemented
58#16840039C2212yes—
59#16839958C2212yes—
60#16839956C2214yes—
61#16839956C2214yes—
62#16839954C2212yes—
63#16839898C2212yes—
64#16839895C2212yes—
65#16839890C2214yescomplemented
66#16839889C2212yescomplemented
67#16839886C2212yescomplemented
68#16839875C2214yes—
69#16839873C2214yes—
70#16839871C2214yes—
71#16839844C2214yes—
72C4×#11758199C2212yes—
73C4×#11758199C2212yes—
74#16839842C2214yes—
75#16839820C2214yes—
76#16839815C2211yescharacteristic
77C61×#533C2211yescharacteristic
78C61×#532C2211yescharacteristic
79C61×#501C2212yescomplemented
80C61×#490C2212yescomplemented
81C61×#482C2214yes—
82C61×#476C2212yescomplemented
83C61×#474C2212yescomplemented
84C61×#432C2211yescharacteristic
85C2×#11758222—21no—
86C2×#11758222—22no—
87C2×#11758224—22no—
88C2×Q8×D61—22no—
89C22×D244C2311yescharacteristic
90C22×C4×D61—21no—
91C2×D488C2314yes—
92C2×#11758199C2312yes—
93C2×#11758199C2312yes—
94#14519777—22no—
95#14519777D411yescharacteristic
96#14519777D411yescharacteristic
97#14519777C2311yescharacteristic
98#14519776C2314yes—
99#14519774C2311yescharacteristic
100#14519773C2314yes—
101#14519769—22no—
102#14519769D412yes—
103#14519768C2314yes—
104#14519768C2314yes—
105#14519765—21no—
106#14519761—24no—
107#14519759—24no—
108#14519757—22no—
109#14519757—22no—
110#14519757—24no—
111#14519756—22no—
112#14519756D412yes—
113#14519756D412yes—
114#14519755—24no—
115#14519755—24no—
116#14519755—24no—
117#14519754—24no—
118#14519754—24no—
119#14519753—22no—
120#14519753—24no—
121#14519753—24no—
122#14519751—21no—
123#14519751—22no—
124#14519751C2312yes—
125#14519750—24no—
126#14519749—24no—
127#14519749—24no—
128#14519748—24no—
129#14519748—22no—
130C4×Dic122C2312yes—
131C4×Dic122C2312yes—
132C4×D244—21no—
133C4×D244—21no—
134C4×D244—21no—
135C4×D244—22no—
136C4×D244—22no—
137C4×D244C2312yes—
138C4×D244C2312yes—
139C4×D244C2312yes—
140D4×Dic61C2314yes—
141#14519739C2314yes—
142#14519739C2314yes—
143#14519739C2314yes—
144#14519736C2312yes—
145C2×C4⋊Dic61—22no—
146C2×C4⋊Dic61C2311yescharacteristic
147C4⋊C4×D61—22no—
148C4⋊C4×D61—22no—
149C4⋊C4×D61—24no—
150C2×#11758198—21no—
151C22⋊C4×D61—24no—
152#14519710C2312yes—
153#14519710C2312yes—
154#14519710C2314yes—
155#14519709C2314yes—
156#14519708C2314yes—
157C4⋊#92418C2312yes—
158#14519706C2314yes—
159#14519706C2314yes—
160#14519699C2314yes—
161#14519699C2314yes—
162#14519698C2312yes—
163#14519698C2312yes—
164#14519697C2314yes—
165#14519697C2314yes—
166#14519697C2312yes—
167#14519697C2312yes—
168C22⋊#92418C2312yes—
169#14519687C2314yes—
170C4×#92418C2311yescharacteristic
171C4×#92418C2311yescharacteristic
172C8×Dic61C2314yes—
173C2×#41×C61—21no—
174C4⋊Q8×C61C2311yescharacteristic
175C4⋊Q8×C61C2311yescharacteristic
176C4⋊Q8×C61C2311yescharacteristic
177#127×C61C2311yescharacteristic
178#125×C61C2312yes—
179#124×C61—21no—
180C22⋊Q8×C61—21no—
181C22⋊Q8×C61—21no—
182#121×C61—21no—
183#121×C61C2312yes—
184C4×Q8×C61—21no—
185C4×Q8×C61—21no—
186C4×D4×C61—21no—
187C4×D4×C61C2312yes—
188#117×C61C2312yes—
189C2×C42×C61C2311yescharacteristic
190#107×C61C2314yes—
191#106×C61C2314yes—
192C4⋊C8×C61C2312yes—
193#102×C61C2314yes—
194#102×C61C2314yes—
195C22⋊C8×C61C2312yes—
196#97×C61C2312yes—
197C23×D61—21no—
198#41×C61—82no—
199C2×Q8×C61—21no—
200C2×Q8×C61—21no—
201C2×Q8×C61—21no—
202C2×D4×C61—22no—
203C2×D4×C61—21no—
204C2×D4×C61—21no—
205C2×D4×C61C2412yes—
206C22×C4×C61—22no—
207C22×C4×C61C2×D411yescharacteristic
208C22×C4×C61C2×D411yescharacteristic
209C22×C4×C61C2411yescharacteristic
210C2×C22⋊D61—22no—
211C2×C22⋊D61—24no—
212C2×C22⋊D61—24no—
213C22×Dic61—21no—
214C22×Dic61—24no—
215Q8×D61—84no—
216#11758224—84no—
217#11758222—84no—
218#11758222—82no—
219C2×D244—21no—
220C2×D244—24no—
221C2×D244—21no—
222C2×D244—21no—
223C2×D244C2412yes—
224C2×D244C2412yes—
225C2×C4×D61—22no—
226C2×C4×D61—22no—
227C2×C4×D61—22no—
228C2×C4×D61—24no—
229C2×C4×D61—24no—
230C2×C4×D61—24no—
231C2×C4×D61—82no—
232C2×Dic122—21no—
233C2×Dic122—24no—
234C2×Dic122C2×D412yes—
235C2×Dic122C2×D412yes—
236C2×C8×C61C2414yes—
237C4⋊C4×C61—21no—
238C4⋊C4×C61—22no—
239C4⋊C4×C61—22no—
240C4⋊C4×C61—21no—
241C4⋊C4×C61—21no—
242C4⋊C4×C61C2412yes—
243C4⋊C4×C61C2412yes—
244C4⋊C4×C61C2412yes—
245C22⋊C4×C61—22no—
246C22⋊C4×C61—22no—
247C22⋊C4×C61—22no—
248C42×C61—22no—
249C42×C61C2×D411yescharacteristic
250C42×C61C2×D411yescharacteristic
251C42×C61C2411yescharacteristic
252C42×C61C2411yescharacteristic
253C22⋊Dic61—24no—
254C22⋊Dic61C2×D414yes—
255#11758199—24no—
256#11758199—24no—
257#11758198—22no—
258#11758198—22no—
259#11758198—22no—
260#11758198—22no—
261#11758198—24no—
262#11758198—24no—
263#11758198—24no—
264C4⋊Dic61—21no—
265C4⋊Dic61—21no—
266C4⋊Dic61—24no—
267C4⋊Dic61—24no—
268C4⋊Dic61C2×D412yes—
269C4⋊Dic61C2×D412yes—
270C4⋊Dic61C2×D412yes—
271C4⋊Dic61C2×D412yes—
272C4⋊Dic61C2412yes—
273C4⋊Dic61C2412yes—
274#11758196—24no—
275#11758196—24no—
276#11758196—24no—
277#11758196C2×D414yes—
278#11758196C2×D414yes—
279C4×Dic61C2414yes—
280C2×#92418C2412yes—
281C2×#92418C2412yes—
282D488—28no—
283C23×C61—22no—
284C23×C61C22×D411yescharacteristic
285C22×D61—22no—
286C22×D61—24no—
287C22×D61—22no—
288C22×D61—81no—
289C22×D61—81no—
290Q8×C61—42no—
291Q8×C61—81no—
292Q8×C61—81no—
293D4×C61—22no—
294D4×C61—22no—
295D4×C61—42no—
296D4×C61—81no—
297D4×C61—82no—
298C2×C4×C61—22no—
299C2×C4×C61—22no—
300C2×C4×C61—22no—
301C2×C4×C61—22no—
302C2×C4×C61—22no—
303C2×C4×C61—41no—
304C2×C4×C61—44no—
305C2×C4×C61C22×D411yescharacteristic
306C2×C4×C61C22×D411yescharacteristic
307C2×C4×C61C22×D411yescharacteristic
308C2×C4×C61C22×D411yescharacteristic
309C2×C4×C61C22×D411yescharacteristic
310C2×C4×C61C2511yescharacteristic
311C22⋊D61—84no—
312C22⋊D61—84no—
313C22⋊D61—82no—
314C2×Dic61—22no—
315C2×Dic61—22no—
316C2×Dic61—84no—
317C2×Dic61—81no—
318C2×Dic61C22×D414yes—
319C2×Dic61C22×D414yes—
320D244—24no—
321D244—22no—
322D244—24no—
323D244—42no—
324D244—81no—
325D2442−1+414yes—
326C4×D61—44no—
327C4×D61—44no—
328C4×D61—84no—
329C4×D61—84no—
330C4×D61—84no—
331C4×D61—82no—
332Dic122—24no—
333Dic122—42no—
334Dic122—84no—
335Dic122—81no—
336C8×C61—24no—
337#92418—22no—
338#92418—22no—
339#61847—611nomaximal, Sylow
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—21no—
343C22×C61—42no—
344C22×C61—42no—
345C22×C61—42no—
346C22×C61C23×D411yescharacteristic
347C2×D61—24no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—42no—
351C2×D61—42no—
352C2×D61—42no—
353C2×D61—84no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—21no—
357C4×C61—21no—
358C4×C61—42no—
359C4×C61—42no—
360C4×C61—42no—
361C4×C61#57612yes—
362C4×C61C2×2−1+412yes—
363Dic61—24no—
364Dic61—24no—
365Dic61—42no—
366Dic61—42no—
367#3548—611no—
368#3501—611no—
369#3389—614no—
370#3384—612no—
371#3380—612no—
372#3366—614no—
373#3366—612no—
374#3358—612no—
375#3241—614no—
376#3235D6111yescharacteristic, complemented
377#3228—611no—
378#3122—614no—
379#3109—611no—
380#3100—611no—
381#2985—611no—
382C2×C61—41no—
383C2×C61—82no—
384C2×C61#348611yescharacteristic
385C2×C61C2×#57611yescharacteristic
386C2×C61#358511yescharacteristic
387D61—44no—
388D61—82no—
389#562—1222no—
390#554—612no—
391#554—612no—
392#554—614no—
393#554—612no—
394#554—1222no—
395#554—1221no—
396#550—612no—
397#550—612no—
398D4×Q8—612no—
399D4×Q8—1221no—
400#547—1221no—
401#547—1221no—
402#544—612no—
403#543—1222no—
404#540—614no—
405#537—1222no—
406#537—1222no—
407#533—611no—
408#533C2×D6111yescharacteristic
409#532—611no—
410#532C2×D6111yescharacteristic
411C2×C22⋊Q8—1222no—
412#518—612no—
413C2×C4×D4—611no—
414#501—614no—
415#501C2×D6112yescomplemented
416#500—611no—
417#499—614no—
418#498—611no—
419#490—614no—
420#490C2×D6112yescomplemented
421#486—611no—
422#486—611no—
423#486—614no—
424#482—614no—
425#482C2×D6114yes—
426#481—612no—
427#480—612no—
428#478—614no—
429#478—614no—
430#478—614no—
431#478—614no—
432#478—614no—
433#476—612no—
434#476—614no—
435#476C2×D6112yescomplemented
436#474—612no—
437#474—614no—
438#474C2×D6112yescomplemented
439#459—612no—
440#459—612no—
441#459—614no—
442#459—614no—
443#447—612no—
444#447—612no—
445#446—612no—
446#446—614no—
447C8×Q8—612no—
448#442—614no—
449#442—614no—
450#442—614no—
451C4×D8—612no—
452C4×D8—612no—
453C4×D8—614no—
454C4×D8—614no—
455#433—614no—
456#432C2×D6111yescharacteristic
457#431—611no—
458C61#6184711yescharacteristic, complemented, Sylow
459C2×#41—21no—
460C2×#41—1222no—
461C2×#41—1222no—
462C2×#41—1221no—
463C22×Q8—1222no—
464C22×D4—611no—
465C23×C4—1221no—
466C2×D8—612no—
467C2×D8—612no—
468C2×D8—614no—
469C4⋊Q8—614no—
470C4⋊Q8—611no—
471C4⋊Q8—611no—
472C4⋊Q8—611no—
473C4⋊Q8—1222no—
474C4⋊Q8C22×D6111yescharacteristic
475C4⋊Q8C22×D6111yescharacteristic
476C4⋊Q8C22×D6111yescharacteristic
477#127—614no—
478#127—611no—
479#127C22×D6111yescharacteristic
480#125—614no—
481#125—614no—
482#125—612no—
483#125—1222no—
484#125C22×D6112yes—
485#124—21no—
486#124—1221no—
487#123—1224no—
488#123—1224no—
489C22⋊Q8—21no—
490C22⋊Q8—21no—
491C22⋊Q8—612no—
492C22⋊Q8—612no—
493C22⋊Q8—1224no—
494C22⋊Q8—1224no—
495C22⋊Q8—1224no—
496C22⋊Q8—1224no—
497C22⋊Q8—1224no—
498C22⋊Q8—1222no—
499C22⋊Q8—1222no—
500C22⋊Q8—1224no—
501C22⋊Q8—1222no—
502C22⋊Q8—1224no—
503C22⋊Q8—1224no—
504C22⋊Q8—1222no—
505#121—21no—
506#121—612no—
507#121—1224no—
508#121—1224no—
509#121—1224no—
510#121—1222no—
511#121—1222no—
512#121—1224no—
513#121—1221no—
514#121C22×D6112yes—
515C4×Q8—21no—
516C4×Q8—21no—
517C4×Q8—612no—
518C4×Q8—612no—
519C4×D4—21no—
520C4×D4—614no—
521C4×D4—614no—
522C4×D4—614no—
523C4×D4—614no—
524C4×D4—612no—
525C4×D4—612no—
526C4×D4—612no—
527C4×D4—1222no—
528C4×D4—1222no—
529C4×D4—1221no—
530C4×D4—1221no—
531C4×D4—1221no—
532C4×D4C22×D6112yes—
533#117—612no—
534#117C22×D6112yes—
535C2×C4⋊C4—611no—
536C2×C4⋊C4—1224no—
537C2×C4⋊C4—1222no—
538C2×C4⋊C4—1222no—
539C2×C4⋊C4—1222no—
540C2×C22⋊C4—1224no—
541C2×C22⋊C4—1221no—
542C2×C42C22×D6111yescharacteristic
543#107—612no—
544#107—612no—
545#107—614no—
546#107C22×D6114yes—
547#106—614no—
548#106—614no—
549#106C22×D6114yes—
550C4⋊C8—614no—
551C4⋊C8—614no—
552C4⋊C8—612no—
553C4⋊C8C22×D6112yes—
554#102—612no—
555#102—612no—
556#102—614no—
557#102—614no—
558#102—612no—
559#102—612no—
560#102—614no—
561#102—614no—
562#102C22×D6114yes—
563#102C22×D6114yes—
564C22⋊C8—612no—
565C22⋊C8C22×D6112yes—
566#97—614no—
567#97C22×D6112yes—
568C4×C8—614no—
569C4×C8—611no—
570C4×C8—611no—
571C24—1221no—
572#41—82no—
573#41—4884no—
574#41—4882no—
575#41—4884no—
576C2×Q8—21no—
577C2×Q8—21no—
578C2×Q8—21no—
579C2×Q8—612no—
580C2×Q8—612no—
581C2×Q8—1224no—
582C2×Q8—1221no—
583C2×Q8—4884no—
584C2×D4—22no—
585C2×D4—21no—
586C2×D4—21no—
587C2×D4—612no—
588C2×D4—612no—
589C2×D4—1224no—
590C2×D4—1224no—
591C2×D4—1224no—
592C2×D4—1222no—
593C2×D4—1221no—
594C2×D4—1221no—
595C2×D4—1221no—
596C2×D4C23×D6112yes—
597C22×C4—22no—
598C22×C4—1224no—
599C22×C4—1224no—
600C22×C4—1224no—
601C22×C4—1224no—
602C22×C4—1221no—
603C22×C4—1222no—
604C22×C4—1222no—
605C22×C4—1222no—
606C22×C4—4882no—
607C22×C4D4×D6111yescharacteristic
608C22×C4D4×D6111yescharacteristic
609C22×C4C23×D6111yescharacteristic
610D8—1228no—
611D8—1224no—
612D8—1224no—
613C2×C8—612no—
614C2×C8—612no—
615C2×C8C23×D6114yes—
616C4⋊C4—21no—
617C4⋊C4—22no—
618C4⋊C4—21no—
619C4⋊C4—22no—
620C4⋊C4—21no—
621C4⋊C4—612no—
622C4⋊C4—614no—
623C4⋊C4—612no—
624C4⋊C4—614no—
625C4⋊C4—612no—
626C4⋊C4—612no—
627C4⋊C4—612no—
628C4⋊C4—612no—
629C4⋊C4—1224no—
630C4⋊C4—1224no—
631C4⋊C4—1224no—
632C4⋊C4—1224no—
633C4⋊C4—1224no—
634C4⋊C4—1221no—
635C4⋊C4—1221no—
636C4⋊C4C23×D6112yes—
637C4⋊C4C23×D6112yes—
638C4⋊C4C23×D6112yes—
639C22⋊C4—22no—
640C22⋊C4—22no—
641C22⋊C4—22no—
642C22⋊C4—614no—
643C22⋊C4—1224no—
644C22⋊C4—1224no—
645C22⋊C4—1224no—
646C22⋊C4—1224no—
647C22⋊C4—1222no—
648C22⋊C4—1222no—
649C22⋊C4—1222no—
650C22⋊C4—1222no—
651C42—22no—
652C42—614no—
653C42D4×D6111yescharacteristic
654C42D4×D6111yescharacteristic
655C42C23×D6111yescharacteristic
656C42C23×D6111yescharacteristic
657C23—22no—
658C23—1224no—
659C23—1222no—
660C23—1222no—
661C23—4881no—
662C23—4881no—
663C23C2×D4×D6111yescharacteristic
664Q8—42no—
665Q8—81no—
666Q8—81no—
667Q8—1224no—
668Q8—4881no—
669Q8—4884no—
670Q8—2442no—
671D4—22no—
672D4—22no—
673D4—42no—
674D4—81no—
675D4—82no—
676D4—614no—
677D4—1224no—
678D4—1222no—
679D4—1224no—
680D4—4881no—
681D4—4884no—
682D4—4884no—
683D4—4882no—
684D4—2442no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—44no—
692C2×C4—614no—
693C2×C4—614no—
694C2×C4—1222no—
695C2×C4—1222no—
696C2×C4—4882no—
697C2×C4—4884no—
698C2×C4—4884no—
699C2×C4—4884no—
700C2×C4—4884no—
701C2×C4—4881no—
702C2×C4—2444no—
703C2×C4—2444no—
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4C2×D4×D6111yescharacteristic
706C2×C4C2×D4×D6111yescharacteristic
707C2×C4C2×D4×D6111yescharacteristic
708C2×C4C2×D4×D6111yescharacteristic
709C2×C4C24×D6111yescharacteristic
710C8—24no—
711C8—1222no—
712C8—1222no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—1224no—
720C22—4884no—
721C22—2442no—
722C22—2442no—
723C22—2442no—
724C22—2442no—
725C22—2442no—
726C22C22×D4×D6111yescharacteristic
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—42no—
733C4—42no—
734C4—1224no—
735C4—1224no—
736C4—2442no—
737C4—2442no—
738C4#1684056612yes—
739C42−1+4×D6112yes—
740C2—41no—
741C2—82no—
742C2—4882no—
743C2—2444no—
744C2#2145946811yescharacteristic
745C2C2×#1684056611yescharacteristic
746C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3235C2
socleC22×C61C23×D4
hypercenter#3235D61
hypocenterC61#61847
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3235

Complements

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

NH ≅ G/Ntype
1. #21460217C2semidirect
2. #21459620C2semidirect
3. #21458774C2semidirect
4. #21458722C2semidirect
5. #21458685C2semidirect
6. #21458525C2semidirect
7. #21458523C2semidirect
8. #21458453C2semidirect
9. #21457070C2semidirect
10. #21456955C2semidirect
11. #21456058C2semidirect
12. #21455911C2semidirect
13. #21455815C2semidirect
14. #21454916C2semidirect
15. C61×#3235C2semidirect
18. #16840473C22semidirect
21. #16840469C22semidirect
23. #16840433C22semidirect
24. #16840432C22semidirect
39. #16840170C22semidirect
40. #16840165C22semidirect
41. #16840162C22semidirect
42. #16840158C22semidirect
43. #16840125C22semidirect
44. #16840110C22semidirect
45. #16840110C22semidirect
46. #16840107C22semidirect
51. #16840064C22semidirect
53. #16840061C22semidirect
54. #16840059C22semidirect
56. #16840050C22semidirect
57. #16840041C22semidirect
65. #16839890C22semidirect
66. #16839889C22semidirect
67. #16839886C22semidirect
79. C61×#501C22semidirect
80. C61×#490C22semidirect
82. C61×#476C22semidirect
83. C61×#474C22semidirect
376. #3235D61semidirect
415. #501C2×D61semidirect
420. #490C2×D61semidirect
435. #476C2×D61semidirect
438. #474C2×D61semidirect
458. C61#61847semidirect

Maximal subgroups

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

subgroupindex
#214602172
#214596202
#214587742
#214587222
#214586852
#214585252
#214585232
#214584532
#214570702
#214569552
#214560582
#214559112
#214558152
#214549162
C61×#32352
#6184761