Finite Group Databasebeta

← #30570353

Subgroups — #30570353

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#21460219C211yesmaximal, characteristic, complemented
2#21459620C211yesmaximal, characteristic, complemented
3#21458779C214yesmaximal, complemented
4#21458720C212yesmaximal, complemented
5#21458687C212yesmaximal, complemented
6#21458528C212yesmaximal, complemented
7#21458528C214yesmaximal, complemented
8#21458455C212yesmaximal, complemented
9#21457074C214yesmaximal, complemented
10#21457019C211yesmaximal, characteristic, complemented
11#21456957C211yesmaximal, characteristic, complemented
12#21456063C214yesmaximal, complemented
13#21455911C211yesmaximal, characteristic, complemented
14#21455820C211yesmaximal, characteristic, complemented
15C61×#2985C211yesmaximal, characteristic, complemented
16#16840510—22no—
17#16840473—21no—
18#16840472C2214yes—
19#16840472C2212yes—
20#16840472C2212yescomplemented
21#16840472C2212yescomplemented
22#16840468—22no—
23#16840434C2212yescomplemented
24#16840434C2212yescomplemented
25Q8×D244C2212yes—
26#16840427—21no—
27#16840415—21no—
28#16840415—21no—
29#16840390C2212yes—
30#16840387—22no—
31#16840367C2214yes—
32#16840342—22no—
33#16840342—22no—
34#16840319C2211yescharacteristic
35#16840312C2211yescharacteristic
36#16840312C2211yescharacteristic
37C22⋊Q8×D61—22no—
38#16840236C2212yes—
39C2×C4×D244C2211yescharacteristic
40#16840171C2214yescomplemented
41#16840171C2212yescomplemented
42#16840167C2211yescharacteristic, complemented
43#16840164C2214yescomplemented
44#16840160C2211yescharacteristic, complemented
45#16840127C2212yescomplemented
46#16840127C2214yescomplemented
47#16840109C2211yescharacteristic, complemented
48#16840109C2214yescomplemented
49#16840109C2211yescharacteristic, complemented
50#16840087C2214yes—
51#16840087C2214yes—
52#16840081C2212yes—
53#16840076C2212yes—
54#16840063C2214yes—
55#16840063C2214yes—
56#16840063C2214yescomplemented
57#16840063C2214yescomplemented
58#16840063C2214yescomplemented
59#16840053C2212yes—
60#16840053C2214yescomplemented
61#16840053C2212yescomplemented
62#16840043C2212yes—
63#16840043C2212yescomplemented
64#16840043C2214yescomplemented
65#16839958C2212yes—
66#16839958C2214yes—
67#16839958C2214yes—
68#16839958C2212yes—
69#16839898C2212yes—
70#16839898C2212yes—
71#16839875C2214yes—
72#16839875C2214yes—
73#16839875C2214yes—
74C4×D488C2214yes—
75C4×D488C2212yes—
76C4×D488C2212yes—
77C4×D488C2214yes—
78C61×#533C2211yescharacteristic
79C61×#446C2212yescomplemented
80C61×#446C2214yescomplemented
81C8×Q8×C61C2212yescomplemented
82C61×#433C2214yes—
83C61×#432C2211yescharacteristic
84C61×#431C2211yescharacteristic
85C2×#11758226—22no—
86C2×#11758226—22no—
87C2×#11758222—21no—
88C2×#11758222—21no—
89C2×Q8×D61—22no—
90C22×D244C2311yescharacteristic
91C22×C4×D61—21no—
92C2×D488C2312yes—
93C2×D488C2314yes—
94C2×D488C2312yes—
95#14519777C2311yescharacteristic
96#14519777C2314yes—
97#14519777C2311yescharacteristic
98#14519777C2311yescharacteristic
99#14519777C2311yescharacteristic
100#14519776—22no—
101#14519774C2311yescharacteristic
102#14519774C2311yescharacteristic
103#14519774C2314yes—
104#14519769C2312yes—
105#14519769C2314yes—
106#14519769C2314yes—
107#14519768—22no—
108#14519765—21no—
109#14519765—21no—
110#14519762—24no—
111#14519762—24no—
112#14519757—24no—
113#14519757—22no—
114#14519756—21no—
115#14519756—21no—
116#14519755—24no—
117#14519755—24no—
118#14519755—24no—
119#14519755—24no—
120#14519755—24no—
121#14519754—24no—
122#14519753—24no—
123#14519753—22no—
124#14519753—22no—
125#14519753—22no—
126#14519752—24no—
127#14519752—24no—
128#14519752—22no—
129#14519752—22no—
130#14519751—21no—
131#14519751—21no—
132#14519751C2312yes—
133#14519751C2312yes—
134#14519750—24no—
135#14519750—24no—
136C4×Dic122—21no—
137C4×Dic122—21no—
138C4×D244—21no—
139C4×D244—21no—
140C4×D244—21no—
141C4×D244—21no—
142C4×D244C2312yes—
143C4×D244C2314yes—
144C4×D244C2312yes—
145C4×D244C2314yes—
146C4×D244C2312yes—
147C4×D244C2314yes—
148C4×D244C2314yes—
149C4×D244C2312yes—
150#14519739—22no—
151#14519739—22no—
152#14519736C2312yes—
153C2×C4⋊Dic61C2311yescharacteristic
154C4⋊C4×D61—24no—
155C4⋊C4×D61—22no—
156C4⋊C4×D61—22no—
157C4⋊C4×D61—22no—
158C2×#11758198—21no—
159C22⋊C4×D61—24no—
160#14519711C2312yes—
161#14519711C2312yes—
162#14519711C2314yes—
163#14519711C2314yes—
164#14519709C2314yes—
165#14519709C2314yes—
166#14519709C2314yes—
167#14519699C2314yes—
168#14519699C2314yes—
169#14519699C2314yes—
170#14519699C2312yes—
171#14519699C2314yes—
172#14519699C2312yes—
173#14519699C2314yes—
174#14519699C2312yes—
175#14519699C2312yes—
176#14519699C2314yes—
177C4⋊Q8×C61D411yescharacteristic
178C4⋊Q8×C61D411yescharacteristic
179#125×C61D412yes—
180C22⋊Q8×C61D412yes—
181C22⋊Q8×C61D412yes—
182C4×Q8×C61C2312yes—
183C4×Q8×C61C2312yes—
184#117×C61C2312yes—
185C2×C42×C61C2311yescharacteristic
186C4⋊C8×C61C2312yes—
187C4⋊C8×C61C2312yes—
188C4⋊C8×C61C2314yes—
189C4⋊C8×C61C2314yes—
190C22⋊C8×C61C2312yes—
191C22⋊C8×C61C2312yes—
192#97×C61C2312yes—
193#97×C61C2314yes—
194C4×C8×C61C2311yescharacteristic
195C4×C8×C61C2311yescharacteristic
196C4×C8×C61C2314yes—
197C23×D61—21no—
198C2×Q8×C61C2×D412yes—
199C2×Q8×C61C2×D412yes—
200C22×C4×C61C2×D411yescharacteristic
201C22×C4×C61C2×D411yescharacteristic
202C22×C4×C61C2411yescharacteristic
203C2×C22⋊D61—22no—
204C2×C22⋊D61—22no—
205C22×Dic61—21no—
206#11758226—84no—
207#11758226—84no—
208Q8×D61—84no—
209#11758222—82no—
210#11758222—82no—
211C2×D244—21no—
212C2×D244—24no—
213C2×D244—21no—
214C2×D244—21no—
215C2×D244—21no—
216C2×D244—21no—
217C2×D244—24no—
218C2×D244—24no—
219C2×D244C2412yes—
220C2×D244C2412yes—
221C2×D244C2412yes—
222C2×C4×D61—22no—
223C2×C4×D61—22no—
224C2×C4×D61—22no—
225C2×C4×D61—22no—
226C2×C4×D61—24no—
227C2×C4×D61—24no—
228C2×C4×D61—24no—
229C2×C4×D61—24no—
230C2×C4×D61—82no—
231C2×Dic122—21no—
232C2×Dic122—24no—
233C2×Dic122—21no—
234C2×Dic122—21no—
235C2×Dic122—21no—
236C2×C8×C61C2412yes—
237C2×C8×C61C2412yes—
238C2×C8×C61C2414yes—
239C4⋊C4×C61C2×D412yes—
240C4⋊C4×C61C2×D412yes—
241C4⋊C4×C61C2×D414yes—
242C4⋊C4×C61C2×D414yes—
243C4⋊C4×C61C2×D412yes—
244C4⋊C4×C61C2×D412yes—
245C22⋊C4×C61C2×D414yes—
246C42×C61C2×D411yescharacteristic
247C42×C61C2×D411yescharacteristic
248C42×C61C2411yescharacteristic
249C42×C61C2414yes—
250C42×C61C2411yescharacteristic
251C22⋊Dic61—22no—
252#11758198—24no—
253#11758198—24no—
254#11758198—22no—
255#11758198—22no—
256#11758198—22no—
257#11758198—22no—
258#11758198—24no—
259#11758198—24no—
260#11758198—22no—
261#11758198—22no—
262C4⋊Dic61—21no—
263C4⋊Dic61—21no—
264C4⋊Dic61—21no—
265C4⋊Dic61—24no—
266C4⋊Dic61—21no—
267C4⋊Dic61—21no—
268C4⋊Dic61C2412yes—
269C4⋊Dic61C2412yes—
270C4⋊Dic61C2412yes—
271C4⋊Dic61C2412yes—
272C4⋊Dic61C2412yes—
273#11758196—22no—
274#11758196—24no—
275#11758196—24no—
276#11758196—24no—
277#11758196—24no—
278#11758196—22no—
279C4×Dic61—22no—
280D488—24no—
281D488—28no—
282D488—24no—
283C23×C61C22×D411yescharacteristic
284C22×D61—22no—
285C22×D61—24no—
286C22×D61—22no—
287C22×D61—22no—
288C22×D61—81no—
289C22×D61—81no—
290Q8×C61—24no—
291Q8×C61—42no—
292C2×C4×C61—22no—
293C2×C4×C61—22no—
294C2×C4×C61—41no—
295C2×C4×C61C22×D411yescharacteristic
296C2×C4×C61C22×D411yescharacteristic
297C2×C4×C61C22×D414yes—
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C22×D414yes—
300C2×C4×C61C22×D411yescharacteristic
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C2511yescharacteristic
303C22⋊D61—82no—
304C22⋊D61—82no—
305C2×Dic61—22no—
306C2×Dic61—22no—
307C2×Dic61—22no—
308C2×Dic61—22no—
309C2×Dic61—22no—
310C2×Dic61—81no—
311D244—24no—
312D244—22no—
313D244—22no—
314D244—22no—
315D244—24no—
316D244—42no—
317D244—42no—
318D244—81no—
319D244—81no—
320D244—84no—
321D244—84no—
322D2442−1+414yes—
323C4×D61—44no—
324C4×D61—44no—
325C4×D61—44no—
326C4×D61—84no—
327C4×D61—82no—
328C4×D61—84no—
329C4×D61—84no—
330C4×D61—84no—
331Dic122—42no—
332Dic122—81no—
333Dic122—81no—
334Dic122—81no—
335Dic122—84no—
336C8×C61—22no—
337C8×C61—22no—
338C8×C61—24no—
339#61847—611nomaximal, Sylow
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—21no—
343C22×C61C23×D411yescharacteristic
344C2×D61—24no—
345C2×D61—42no—
346C2×D61—42no—
347C2×D61—42no—
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—24no—
357C4×C61—21no—
358C4×C61—21no—
359C4×C61—24no—
360C4×C61#57612yes—
361C4×C61C2×2−1+412yes—
362Dic61—42no—
363Dic61—42no—
364Dic61—42no—
365Dic61—42no—
366Dic61—42no—
367#3548—611no—
368#3501—611no—
369#3389—614no—
370#3384—612no—
371#3380—612no—
372#3366—612no—
373#3366—614no—
374#3358—612no—
375#3241—614no—
376#3235—611no—
377#3228—611no—
378#3122—614no—
379#3109—611no—
380#3100—611no—
381#2985D6111yescharacteristic, complemented
382C2×C61—41no—
383C2×C61#348611yescharacteristic
384C2×C61C2×#57611yescharacteristic
385C2×C61#358511yescharacteristic
386D61—44no—
387D61—82no—
388D61—82no—
389#562—1222no—
390#554—612no—
391#554—614no—
392#554—612no—
393#554—612no—
394#554—1221no—
395#554—1222no—
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#532—611no—
411C2×C22⋊Q8—1222no—
412#518—612no—
413C2×C4×D4—611no—
414#501—614no—
415#501—612no—
416#500—611no—
417#499—614no—
418#498—611no—
419#490—612no—
420#490—614no—
421#486—611no—
422#486—614no—
423#486—611no—
424#482—614no—
425#482—614no—
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—612no—
435#476—614no—
436#474—612no—
437#474—612no—
438#474—614no—
439#459—612no—
440#459—612no—
441#459—614no—
442#459—614no—
443#447—612no—
444#447—612no—
445#446C2×D6112yescomplemented
446#446C2×D6114yescomplemented
447C8×Q8C2×D6112yescomplemented
448#442—614no—
449#442—614no—
450#442—614no—
451C4×D8—612no—
452C4×D8—612no—
453C4×D8—614no—
454C4×D8—614no—
455#433C2×D6114yes—
456#432C2×D6111yescharacteristic
457#431C2×D6111yescharacteristic
458C61#6184711yescharacteristic, complemented, Sylow
459C2×#41—1222no—
460C2×#41—1222no—
461C2×#41—1221no—
462C2×#41—1221no—
463C22×Q8—1222no—
464C22×D4—611no—
465C23×C4—1221no—
466C2×D8—612no—
467C2×D8—612no—
468C2×D8—614no—
469C4⋊Q8—611no—
470C4⋊Q8—611no—
471C4⋊Q8—611no—
472C4⋊Q8—611no—
473C4⋊Q8—614no—
474C4⋊Q8—1222no—
475C4⋊Q8D24411yescharacteristic
476C4⋊Q8D24411yescharacteristic
477#127—611no—
478#127—611no—
479#127—614no—
480#125—612no—
481#125—614no—
482#125—614no—
483#125—1222no—
484#125D24412yes—
485#124—1221no—
486#124—1221no—
487#123—1224no—
488#123—1224no—
489C22⋊Q8—1222no—
490C22⋊Q8—1222no—
491C22⋊Q8—1222no—
492C22⋊Q8—1224no—
493C22⋊Q8—1221no—
494C22⋊Q8—1221no—
495C22⋊Q8—1222no—
496C22⋊Q8—1224no—
497C22⋊Q8—1224no—
498C22⋊Q8—1224no—
499C22⋊Q8—1224no—
500C22⋊Q8—1224no—
501C22⋊Q8—1224no—
502C22⋊Q8—1224no—
503C22⋊Q8D24412yes—
504C22⋊Q8D24412yes—
505#121—612no—
506#121—612no—
507#121—1221no—
508#121—1221no—
509#121—1222no—
510#121—1222no—
511#121—1224no—
512#121—1224no—
513#121—1224no—
514#121—1224no—
515C4×Q8—1221no—
516C4×Q8—1221no—
517C4×Q8C22×D6112yes—
518C4×Q8C22×D6112yes—
519C4×D4—612no—
520C4×D4—612no—
521C4×D4—614no—
522C4×D4—614no—
523C4×D4—612no—
524C4×D4—612no—
525C4×D4—614no—
526C4×D4—614no—
527C4×D4—1222no—
528C4×D4—1222no—
529C4×D4—1221no—
530C4×D4—1221no—
531C4×D4—1221no—
532C4×D4—1221no—
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—1221no—
541C2×C22⋊C4—1224no—
542C2×C42C22×D6111yescharacteristic
543#107—612no—
544#107—614no—
545#107—612no—
546#107—614no—
547#106—614no—
548#106—614no—
549#106—614no—
550C4⋊C8C22×D6112yes—
551C4⋊C8C22×D6112yes—
552C4⋊C8C22×D6114yes—
553C4⋊C8C22×D6114yes—
554#102—612no—
555#102—612no—
556#102—614no—
557#102—614no—
558#102—612no—
559#102—614no—
560#102—612no—
561#102—614no—
562#102—614no—
563#102—614no—
564C22⋊C8C22×D6112yes—
565C22⋊C8C22×D6112yes—
566#97C22×D6112yes—
567#97C22×D6114yes—
568C4×C8C22×D6111yescharacteristic
569C4×C8C22×D6111yescharacteristic
570C4×C8C22×D6114yes—
571C24—1221no—
572#41—4882no—
573#41—4882no—
574#41—4884no—
575#41—4884no—
576C2×Q8—1221no—
577C2×Q8—1221no—
578C2×Q8—1221no—
579C2×Q8—1224no—
580C2×Q8—1221no—
581C2×Q8—4884no—
582C2×Q8C2×D24412yes—
583C2×Q8C2×D24412yes—
584C2×D4—612no—
585C2×D4—612no—
586C2×D4—612no—
587C2×D4—1224no—
588C2×D4—1222no—
589C2×D4—1222no—
590C2×D4—1221no—
591C2×D4—1224no—
592C2×D4—1224no—
593C2×D4—1221no—
594C2×D4—1221no—
595C2×D4—1221no—
596C2×D4—1221no—
597C22×C4—1221no—
598C22×C4—1224no—
599C22×C4—1224no—
600C22×C4—1222no—
601C22×C4—1224no—
602C22×C4—1224no—
603C22×C4—1222no—
604C22×C4—1222no—
605C22×C4—1222no—
606C22×C4—4882no—
607C22×C4C2×D24411yescharacteristic
608C22×C4C2×D24411yescharacteristic
609C22×C4C23×D6111yescharacteristic
610D8—1224no—
611D8—1224no—
612D8—1228no—
613C2×C8C23×D6112yes—
614C2×C8C23×D6112yes—
615C2×C8C23×D6114yes—
616C4⋊C4—612no—
617C4⋊C4—612no—
618C4⋊C4—612no—
619C4⋊C4—612no—
620C4⋊C4—612no—
621C4⋊C4—1221no—
622C4⋊C4—1222no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4—1224no—
627C4⋊C4—1224no—
628C4⋊C4—1224no—
629C4⋊C4—1224no—
630C4⋊C4—1224no—
631C4⋊C4—1222no—
632C4⋊C4—1221no—
633C4⋊C4C2×D24412yes—
634C4⋊C4C2×D24414yes—
635C4⋊C4C2×D24412yes—
636C4⋊C4C2×D24412yes—
637C4⋊C4C2×D24412yes—
638C4⋊C4C2×D24414yes—
639C22⋊C4—1222no—
640C22⋊C4—1224no—
641C22⋊C4—1224no—
642C22⋊C4—1222no—
643C22⋊C4—1222no—
644C22⋊C4—1224no—
645C22⋊C4—1224no—
646C22⋊C4—1222no—
647C22⋊C4—1222no—
648C22⋊C4—1222no—
649C22⋊C4—1222no—
650C22⋊C4C2×D24414yes—
651C42—1222no—
652C42C2×D24411yescharacteristic
653C42C2×D24411yescharacteristic
654C42C23×D6111yescharacteristic
655C42C23×D6114yes—
656C42C23×D6111yescharacteristic
657C23—1224no—
658C23—1222no—
659C23—1222no—
660C23—1222no—
661C23—4881no—
662C23—4881no—
663C23C22×D24411yescharacteristic
664Q8—24no—
665Q8—42no—
666Q8—4881no—
667Q8—4884no—
668Q8—4881no—
669Q8—4881no—
670Q8—2442no—
671D4—614no—
672D4—1224no—
673D4—1222no—
674D4—1222no—
675D4—1224no—
676D4—1222no—
677D4—4881no—
678D4—4884no—
679D4—4881no—
680D4—4884no—
681D4—4882no—
682D4—4882no—
683D4—2442no—
684D4—2442no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—41no—
688C2×C4—1222no—
689C2×C4—1222no—
690C2×C4—1222no—
691C2×C4—1222no—
692C2×C4—1222no—
693C2×C4—4884no—
694C2×C4—4882no—
695C2×C4—4884no—
696C2×C4—4884no—
697C2×C4—4884no—
698C2×C4—4881no—
699C2×C4—2444no—
700C2×C4—2444no—
701C2×C4—2444no—
702C2×C4C22×D24411yescharacteristic
703C2×C4C22×D24411yescharacteristic
704C2×C4C22×D24411yescharacteristic
705C2×C4C22×D24411yescharacteristic
706C2×C4C22×D24414yes—
707C2×C4C22×D24414yes—
708C2×C4C22×D24411yescharacteristic
709C2×C4C24×D6111yescharacteristic
710C8—22no—
711C8—22no—
712C8—24no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—1224no—
717C22—4884no—
718C22—2442no—
719C22—2442no—
720C22—2442no—
721C22—2442no—
722C22—2442no—
723C22—2442no—
724C22—2442no—
725C22—2442no—
726C22C23×D24411yescharacteristic
727C4—21no—
728C4—21no—
729C4—24no—
730C4—21no—
731C4—21no—
732C4—24no—
733C4—2442no—
734C4—2442no—
735C4—2442no—
736C4—2442no—
737C4—2442no—
738C4#1684056712yes—
739C42−1+4×D6112yes—
740C2—41no—
741C2—4882no—
742C2—4882no—
743C2—2444no—
744C2#2145947111yescharacteristic
745C2C2×#1684056711yescharacteristic
746C2#2146060011yescharacteristic
subgroupG/H
centerC22C23×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#2985C2
socleC22×C61C23×D4
hypercenter#2985D61
hypocenterC61#61847
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #533 ◁ #2985

Complements

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

NH ≅ G/Ntype
1. #21460219C2semidirect
2. #21459620C2semidirect
3. #21458779C2semidirect
4. #21458720C2semidirect
5. #21458687C2semidirect
6. #21458528C2semidirect
7. #21458528C2semidirect
8. #21458455C2semidirect
9. #21457074C2semidirect
10. #21457019C2semidirect
11. #21456957C2semidirect
12. #21456063C2semidirect
13. #21455911C2semidirect
14. #21455820C2semidirect
15. C61×#2985C2semidirect
20. #16840472C22semidirect
21. #16840472C22semidirect
23. #16840434C22semidirect
24. #16840434C22semidirect
40. #16840171C22semidirect
41. #16840171C22semidirect
42. #16840167C22semidirect
43. #16840164C22semidirect
44. #16840160C22semidirect
45. #16840127C22semidirect
46. #16840127C22semidirect
47. #16840109C22semidirect
48. #16840109C22semidirect
49. #16840109C22semidirect
56. #16840063C22semidirect
57. #16840063C22semidirect
58. #16840063C22semidirect
60. #16840053C22semidirect
61. #16840053C22semidirect
63. #16840043C22semidirect
64. #16840043C22semidirect
79. C61×#446C22semidirect
80. C61×#446C22semidirect
81. C8×Q8×C61C22semidirect
381. #2985D61semidirect
445. #446C2×D61semidirect
446. #446C2×D61semidirect
447. C8×Q8C2×D61semidirect
458. C61#61847semidirect

Maximal subgroups

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

subgroupindex
#214602192
#214596202
#214587792
#214587202
#214586872
#214585282
#214584552
#214570742
#214570192
#214569572
#214560632
#214559112
#214558202
C61×#29852
#6184761