Finite Group Databasebeta

← #30570351

Subgroups — #30570351

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#21458773C214yesmaximal, complemented
3#21458714C212yesmaximal, complemented
4#21458682C212yesmaximal, complemented
5#21458526C212yesmaximal, complemented
6#21458526C214yesmaximal, complemented
7#21458454C212yesmaximal, complemented
8#21457072C214yesmaximal, complemented
9#21457017C211yesmaximal, characteristic, complemented
10#21456955C211yesmaximal, characteristic, complemented
11#21456062C214yesmaximal, complemented
12#21455910C211yesmaximal, characteristic, complemented
13#21455819C211yesmaximal, characteristic, complemented
14#21454914C211yesmaximal, characteristic, complemented
15C61×#3501C211yesmaximal, characteristic, complemented
16#16840510—22no—
17#16840472C2212yescomplemented
18#16840472C2212yescomplemented
19#16840434C2212yescomplemented
20#16840434C2212yescomplemented
21#16840415—21no—
22#16840415—21no—
23#16840367C2214yes—
24#16840342—22no—
25#16840342—22no—
26#16840312C2211yescharacteristic
27#16840312C2211yescharacteristic
28#16840172C2212yescomplemented
29#16840168C2214yescomplemented
30#16840165C2211yescharacteristic, complemented
31#16840161C2214yescomplemented
32#16840158C2211yescharacteristic, complemented
33#16840128C2212yescomplemented
34#16840128C2214yescomplemented
35#16840110C2211yescharacteristic, complemented
36#16840110C2214yescomplemented
37#16840110C2211yescharacteristic, complemented
38#16840086C2214yes—
39#16840086C2214yes—
40#16840080C2212yes—
41#16840075C2212yes—
42#16840062C2214yes—
43#16840062C2214yes—
44#16840059C2214yescomplemented
45#16840059C2214yescomplemented
46#16840059C2214yescomplemented
47#16840052C2212yes—
48#16840049C2214yescomplemented
49#16840049C2212yescomplemented
50#16840042C2212yes—
51#16840039C2212yescomplemented
52#16840039C2214yescomplemented
53#16839957C2212yes—
54#16839957C2214yes—
55#16839957C2214yes—
56#16839957C2212yes—
57#16839896C2212yes—
58#16839896C2212yes—
59#16839893C2212yescomplemented
60#16839893C2214yescomplemented
61Q8×#92418C2212yescomplemented
62#16839872C2214yes—
63#16839872C2214yes—
64#16839872C2214yes—
65C4×#11758199C2214yes—
66C4×#11758199C2212yes—
67C4×#11758199C2212yes—
68C4×#11758199C2214yes—
69#16839823C2214yes—
70#16839819C2211yescharacteristic
71#16839815C2211yescharacteristic
72C61×#554—21no—
73C61×#554—22no—
74C61×#554C2214yes—
75C61×#554C2212yes—
76D4×Q8×C61—21no—
77D4×Q8×C61C2212yes—
78C61×#544C2212yes—
79C61×#543—22no—
80C61×#533C2211yescharacteristic
81C61×#533C2211yescharacteristic
82C2×C22⋊Q8×C61—22no—
83C61×#518C2212yes—
84C2×C4×D4×C61C2211yescharacteristic
85C2×#11758226—22no—
86C2×#11758226—22no—
87C2×#11758222—21no—
88C2×#11758222—21no—
89C2×#11758199C2312yes—
90C2×#11758199C2314yes—
91C2×#11758199C2312yes—
92#14519777C2311yescharacteristic
93#14519777C2311yescharacteristic
94#14519774C2311yescharacteristic
95#14519774C2311yescharacteristic
96#14519774C2314yes—
97#14519769C2314yes—
98#14519765—21no—
99#14519765—21no—
100#14519762—24no—
101#14519762—24no—
102#14519755—24no—
103#14519755—24no—
104#14519753—22no—
105#14519753—22no—
106#14519752—24no—
107#14519752—24no—
108#14519752—22no—
109#14519752—22no—
110#14519751—21no—
111#14519751—21no—
112#14519751C2312yes—
113#14519751C2312yes—
114#14519750—24no—
115#14519750—24no—
116C4×D244—21no—
117C4×D244—21no—
118C4×D244C2312yes—
119C4×D244C2314yes—
120C4×D244C2314yes—
121C4×D244C2312yes—
122C4⋊C4×D61—22no—
123C4⋊C4×D61—22no—
124#14519710C2312yes—
125#14519710C2314yes—
126#14519710C2312yes—
127#14519710C2314yes—
128#14519708C2314yes—
129#14519708C2314yes—
130#14519708C2314yes—
131C4⋊#92418C2312yes—
132C4⋊#92418C2314yes—
133C4⋊#92418C2312yes—
134C4⋊#92418C2314yes—
135#14519698C2312yes—
136#14519698C2312yes—
137#14519698C2314yes—
138#14519697C2314yes—
139#14519697C2314yes—
140#14519697C2314yes—
141#14519697C2312yes—
142#14519697C2314yes—
143#14519697C2312yes—
144#14519697C2314yes—
145C22⋊#92418C2312yes—
146C22⋊#92418C2312yes—
147#14519688C2312yes—
148#14519688C2314yes—
149C4×#92418C2311yescharacteristic
150C4×#92418C2311yescharacteristic
151C4×#92418C2314yes—
152C22×Q8×C61—22no—
153C22×D4×C61C2311yescharacteristic
154C23×C4×C61—21no—
155C4⋊Q8×C61—22no—
156C4⋊Q8×C61D411yescharacteristic
157C4⋊Q8×C61D411yescharacteristic
158C4⋊Q8×C61C2311yescharacteristic
159C4⋊Q8×C61C2311yescharacteristic
160C4⋊Q8×C61C2314yes—
161#125×C61—22no—
162#125×C61D412yes—
163#125×C61C2312yes—
164#125×C61C2314yes—
165C22⋊Q8×C61—24no—
166C22⋊Q8×C61—22no—
167C22⋊Q8×C61—21no—
168C22⋊Q8×C61—21no—
169C22⋊Q8×C61—24no—
170C22⋊Q8×C61—24no—
171C22⋊Q8×C61—24no—
172C22⋊Q8×C61—22no—
173C22⋊Q8×C61—24no—
174C22⋊Q8×C61—24no—
175C22⋊Q8×C61D412yes—
176C22⋊Q8×C61D412yes—
177C4×Q8×C61—21no—
178C4×Q8×C61—21no—
179C4×Q8×C61C2312yes—
180C4×Q8×C61C2312yes—
181C4×D4×C61—22no—
182C4×D4×C61—22no—
183C4×D4×C61—21no—
184C4×D4×C61—21no—
185C4×D4×C61C2312yes—
186C4×D4×C61C2314yes—
187C4×D4×C61C2312yes—
188C4×D4×C61C2314yes—
189#117×C61C2312yes—
190#117×C61C2312yes—
191C2×C4⋊C4×C61—24no—
192C2×C4⋊C4×C61—22no—
193C2×C4⋊C4×C61C2311yescharacteristic
194C2×C22⋊C4×C61—21no—
195C2×C22⋊C4×C61—24no—
196C2×C42×C61C2311yescharacteristic
197C24×C61—21no—
198C2×Q8×C61—21no—
199C2×Q8×C61—21no—
200C2×Q8×C61—24no—
201C2×Q8×C61—84no—
202C2×Q8×C61C2×D412yes—
203C2×Q8×C61C2×D412yes—
204C2×D4×C61—24no—
205C2×D4×C61—21no—
206C2×D4×C61C2412yes—
207C22×C4×C61—21no—
208C22×C4×C61—22no—
209C22×C4×C61—24no—
210C22×C4×C61—24no—
211C22×C4×C61—22no—
212C22×C4×C61—82no—
213C22×C4×C61C2×D411yescharacteristic
214C22×C4×C61C2×D411yescharacteristic
215C22×C4×C61C2411yescharacteristic
216C2×C22⋊D61—22no—
217C2×C22⋊D61—22no—
218#11758226—84no—
219#11758226—84no—
220#11758222—82no—
221#11758222—82no—
222C2×D244—21no—
223C2×D244—21no—
224C2×D244—21no—
225C2×D244—21no—
226C2×D244—24no—
227C2×D244—24no—
228C2×D244C2412yes—
229C2×D244C2412yes—
230C2×C4×D61—22no—
231C2×C4×D61—22no—
232C2×C4×D61—24no—
233C2×C4×D61—24no—
234C2×Dic122—21no—
235C2×Dic122—21no—
236C4⋊C4×C61—22no—
237C4⋊C4×C61—21no—
238C4⋊C4×C61—24no—
239C4⋊C4×C61—24no—
240C4⋊C4×C61—24no—
241C4⋊C4×C61—21no—
242C4⋊C4×C61—22no—
243C4⋊C4×C61—21no—
244C4⋊C4×C61C2×D414yes—
245C4⋊C4×C61C2×D412yes—
246C4⋊C4×C61C2×D412yes—
247C4⋊C4×C61C2×D412yes—
248C4⋊C4×C61C2×D414yes—
249C4⋊C4×C61C2×D412yes—
250C4⋊C4×C61C2412yes—
251C4⋊C4×C61C2412yes—
252C4⋊C4×C61C2412yes—
253C22⋊C4×C61—22no—
254C22⋊C4×C61—24no—
255C22⋊C4×C61—24no—
256C22⋊C4×C61—22no—
257C22⋊C4×C61—22no—
258C22⋊C4×C61C2×D414yes—
259C42×C61—22no—
260C42×C61C2×D411yescharacteristic
261C42×C61C2×D411yescharacteristic
262C42×C61C2411yescharacteristic
263C42×C61C2411yescharacteristic
264C42×C61C2414yes—
265#11758199—24no—
266#11758199—28no—
267#11758199—24no—
268#11758198—22no—
269#11758198—22no—
270#11758198—24no—
271#11758198—24no—
272#11758198—22no—
273#11758198—22no—
274C4⋊Dic61—21no—
275C4⋊Dic61—21no—
276C4⋊Dic61C2412yes—
277C4⋊Dic61C2412yes—
278#11758196—24no—
279#11758196—24no—
280C2×#92418C2412yes—
281C2×#92418C2412yes—
282C2×#92418C2414yes—
283C23×C61—24no—
284C23×C61—22no—
285C23×C61—81no—
286C23×C61—81no—
287C23×C61C22×D411yescharacteristic
288C22×D61—22no—
289C22×D61—22no—
290Q8×C61—24no—
291Q8×C61—42no—
292Q8×C61—42no—
293Q8×C61—81no—
294Q8×C61—84no—
295D4×C61—24no—
296D4×C61—22no—
297D4×C612−1+414yes—
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×C61—84no—
306C2×C4×C61—82no—
307C2×C4×C61—84no—
308C2×C4×C61—81no—
309C2×C4×C61C22×D414yes—
310C2×C4×C61C22×D414yes—
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C2511yescharacteristic
317C22⋊D61—82no—
318C22⋊D61—82no—
319C2×Dic61—22no—
320C2×Dic61—22no—
321D244—22no—
322D244—22no—
323D244—24no—
324D244—42no—
325D244—42no—
326D244—81no—
327D244—81no—
328D244—84no—
329D244—84no—
330C4×D61—44no—
331C4×D61—44no—
332C4×D61—84no—
333C4×D61—84no—
334Dic122—81no—
335Dic122—81no—
336#92418—22no—
337#92418—22no—
338#92418—24no—
339#61847—611nomaximal, Sylow
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—24no—
343C22×C61—21no—
344C22×C61—42no—
345C22×C61—42no—
346C22×C61—84no—
347C22×C61C23×D411yescharacteristic
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—42no—
351C2×D61—42no—
352C2×D61—42no—
353C2×D61—42no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—24no—
357C4×C61—21no—
358C4×C61—21no—
359C4×C61—24no—
360C4×C61—42no—
361C4×C61—42no—
362C4×C61—42no—
363C4×C61#57612yes—
364C4×C61C2×2−1+412yes—
365Dic61—42no—
366Dic61—42no—
367#3548—611no—
368#3501D6111yescharacteristic, complemented
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#2985—611no—
382C2×C61—41no—
383C2×C61—44no—
384C2×C61#348611yescharacteristic
385C2×C61C2×#57611yescharacteristic
386C2×C61#358511yescharacteristic
387D61—82no—
388D61—82no—
389#562—1222no—
390#554—21no—
391#554—22no—
392#554—612no—
393#554—612no—
394#554C2×D6112yes—
395#554C2×D6114yes—
396#550—612no—
397#550—612no—
398D4×Q8—21no—
399D4×Q8C2×D6112yes—
400#547—1221no—
401#547—1221no—
402#544C2×D6112yes—
403#543—22no—
404#540—614no—
405#537—1222no—
406#537—1222no—
407#533C2×D6111yescharacteristic
408#533C2×D6111yescharacteristic
409#532—611no—
410#532—611no—
411C2×C22⋊Q8—22no—
412#518C2×D6112yes—
413C2×C4×D4C2×D6111yescharacteristic
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—614no—
435#476—612no—
436#474—612no—
437#474—614no—
438#474—612no—
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#432—611no—
457#431—611no—
458C61#6184711yescharacteristic, complemented, Sylow
459C2×#41—1222no—
460C2×#41—1222no—
461C2×#41—1221no—
462C2×#41—1221no—
463C22×Q8—22no—
464C22×D4C22×D6111yescharacteristic
465C23×C4—21no—
466C2×D8—612no—
467C2×D8—612no—
468C2×D8—614no—
469C4⋊Q8—22no—
470C4⋊Q8—611no—
471C4⋊Q8—611no—
472C4⋊Q8C22⋊D6111yescharacteristic
473C4⋊Q8C22⋊D6111yescharacteristic
474C4⋊Q8C22×D6111yescharacteristic
475C4⋊Q8C22×D6111yescharacteristic
476C4⋊Q8C22×D6114yes—
477#127—611no—
478#127—611no—
479#127—614no—
480#125—22no—
481#125—614no—
482#125C22⋊D6112yes—
483#125C22×D6112yes—
484#125C22×D6114yes—
485#124—1221no—
486#124—1221no—
487#123—1224no—
488#123—1224no—
489C22⋊Q8—22no—
490C22⋊Q8—24no—
491C22⋊Q8—21no—
492C22⋊Q8—21no—
493C22⋊Q8—22no—
494C22⋊Q8—24no—
495C22⋊Q8—24no—
496C22⋊Q8—24no—
497C22⋊Q8—24no—
498C22⋊Q8—24no—
499C22⋊Q8—1222no—
500C22⋊Q8—1222no—
501C22⋊Q8—1224no—
502C22⋊Q8—1224no—
503C22⋊Q8C22⋊D6112yes—
504C22⋊Q8C22⋊D6112yes—
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—21no—
516C4×Q8—21no—
517C4×Q8C22×D6112yes—
518C4×Q8C22×D6112yes—
519C4×D4—22no—
520C4×D4—22no—
521C4×D4—21no—
522C4×D4—21no—
523C4×D4—612no—
524C4×D4—612no—
525C4×D4—614no—
526C4×D4—614no—
527C4×D4—1221no—
528C4×D4—1221no—
529C4×D4C22×D6112yes—
530C4×D4C22×D6112yes—
531C4×D4C22×D6114yes—
532C4×D4C22×D6114yes—
533#117C22×D6112yes—
534#117C22×D6112yes—
535C2×C4⋊C4—24no—
536C2×C4⋊C4—22no—
537C2×C4⋊C4—1222no—
538C2×C4⋊C4—1222no—
539C2×C4⋊C4C22×D6111yescharacteristic
540C2×C22⋊C4—21no—
541C2×C22⋊C4—24no—
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⋊C8—612no—
551C4⋊C8—612no—
552C4⋊C8—614no—
553C4⋊C8—614no—
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⋊C8—612no—
565C22⋊C8—612no—
566#97—612no—
567#97—614no—
568C4×C8—611no—
569C4×C8—611no—
570C4×C8—614no—
571C24—21no—
572#41—4882no—
573#41—4882no—
574#41—4884no—
575#41—4884no—
576C2×Q8—21no—
577C2×Q8—21no—
578C2×Q8—24no—
579C2×Q8—84no—
580C2×Q8—1221no—
581C2×Q8—1221no—
582C2×Q8C2×C22⋊D6112yes—
583C2×Q8C2×C22⋊D6112yes—
584C2×D4—24no—
585C2×D4—21no—
586C2×D4—612no—
587C2×D4—612no—
588C2×D4—1222no—
589C2×D4—1222no—
590C2×D4—1224no—
591C2×D4—1224no—
592C2×D4—1221no—
593C2×D4—1221no—
594C2×D4—1221no—
595C2×D4—1221no—
596C2×D4C23×D6112yes—
597C22×C4—21no—
598C22×C4—22no—
599C22×C4—24no—
600C22×C4—24no—
601C22×C4—22no—
602C22×C4—82no—
603C22×C4—1224no—
604C22×C4—1224no—
605C22×C4—1222no—
606C22×C4—1222no—
607C22×C4C2×C22⋊D6111yescharacteristic
608C22×C4C2×C22⋊D6111yescharacteristic
609C22×C4C23×D6111yescharacteristic
610D8—1224no—
611D8—1224no—
612D8—1228no—
613C2×C8—612no—
614C2×C8—612no—
615C2×C8—614no—
616C4⋊C4—22no—
617C4⋊C4—21no—
618C4⋊C4—24no—
619C4⋊C4—24no—
620C4⋊C4—24no—
621C4⋊C4—21no—
622C4⋊C4—22no—
623C4⋊C4—21no—
624C4⋊C4—612no—
625C4⋊C4—612no—
626C4⋊C4—1221no—
627C4⋊C4—1221no—
628C4⋊C4—1224no—
629C4⋊C4—1224no—
630C4⋊C4C2×C22⋊D6112yes—
631C4⋊C4C2×C22⋊D6114yes—
632C4⋊C4C2×C22⋊D6112yes—
633C4⋊C4C2×C22⋊D6112yes—
634C4⋊C4C2×C22⋊D6112yes—
635C4⋊C4C2×C22⋊D6114yes—
636C4⋊C4C23×D6112yes—
637C4⋊C4C23×D6112yes—
638C4⋊C4C23×D6112yes—
639C22⋊C4—22no—
640C22⋊C4—24no—
641C22⋊C4—24no—
642C22⋊C4—22no—
643C22⋊C4—22no—
644C22⋊C4—1224no—
645C22⋊C4—1224no—
646C22⋊C4—1222no—
647C22⋊C4—1222no—
648C22⋊C4—1222no—
649C22⋊C4—1222no—
650C22⋊C4C2×C22⋊D6114yes—
651C42—22no—
652C42C2×C22⋊D6111yescharacteristic
653C42C2×C22⋊D6111yescharacteristic
654C42C23×D6111yescharacteristic
655C42C23×D6114yes—
656C42C23×D6111yescharacteristic
657C23—24no—
658C23—22no—
659C23—81no—
660C23—81no—
661C23—1222no—
662C23—1222no—
663C23C22×C22⋊D6111yescharacteristic
664Q8—24no—
665Q8—42no—
666Q8—42no—
667Q8—81no—
668Q8—84no—
669Q8—4881no—
670Q8—4881no—
671D4—24no—
672D4—22no—
673D4—1222no—
674D4—1224no—
675D4—1222no—
676D4—4881no—
677D4—4884no—
678D4—4881no—
679D4—4884no—
680D4—4882no—
681D4—4882no—
682D4—2442no—
683D4—2442no—
684D4#1451982514yes—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—44no—
692C2×C4—84no—
693C2×C4—82no—
694C2×C4—84no—
695C2×C4—81no—
696C2×C4—1222no—
697C2×C4—1222no—
698C2×C4—4884no—
699C2×C4—4884no—
700C2×C4—2444no—
701C2×C4—2444no—
702C2×C4C22×C22⋊D6111yescharacteristic
703C2×C4C22×C22⋊D6111yescharacteristic
704C2×C4C22×C22⋊D6111yescharacteristic
705C2×C4C22×C22⋊D6111yescharacteristic
706C2×C4C22×C22⋊D6114yes—
707C2×C4C22×C22⋊D6114yes—
708C2×C4C22×C22⋊D6111yescharacteristic
709C2×C4C24×D6111yescharacteristic
710C8—1222no—
711C8—1222no—
712C8—1224no—
713C22—21no—
714C22—24no—
715C22—21no—
716C22—21no—
717C22—42no—
718C22—42no—
719C22—84no—
720C22—2442no—
721C22—2442no—
722C22—2442no—
723C22—2442no—
724C22—2442no—
725C22—2442no—
726C22C23×C22⋊D6111yescharacteristic
727C4—21no—
728C4—21no—
729C4—24no—
730C4—21no—
731C4—21no—
732C4—24no—
733C4—42no—
734C4—42no—
735C4—42no—
736C4—2442no—
737C4—2442no—
738C4#1684056512yes—
739C4C2×#1451982512yes—
740C2—41no—
741C2—44no—
742C2—4882no—
743C2—4882no—
744C2#2145947011yescharacteristic
745C2C2×#1684056511yescharacteristic
746C2#2146059811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3501C2
socleC22×C61C23×D4
hypercenter#3501D61
hypocenterC61#61847
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #533 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. #21460219C2semidirect
2. #21458773C2semidirect
3. #21458714C2semidirect
4. #21458682C2semidirect
5. #21458526C2semidirect
6. #21458526C2semidirect
7. #21458454C2semidirect
8. #21457072C2semidirect
9. #21457017C2semidirect
10. #21456955C2semidirect
11. #21456062C2semidirect
12. #21455910C2semidirect
13. #21455819C2semidirect
14. #21454914C2semidirect
15. C61×#3501C2semidirect
17. #16840472C22semidirect
18. #16840472C22semidirect
19. #16840434C22semidirect
20. #16840434C22semidirect
28. #16840172C22semidirect
29. #16840168C22semidirect
30. #16840165C22semidirect
31. #16840161C22semidirect
32. #16840158C22semidirect
33. #16840128C22semidirect
34. #16840128C22semidirect
35. #16840110C22semidirect
36. #16840110C22semidirect
37. #16840110C22semidirect
44. #16840059C22semidirect
45. #16840059C22semidirect
46. #16840059C22semidirect
48. #16840049C22semidirect
49. #16840049C22semidirect
51. #16840039C22semidirect
52. #16840039C22semidirect
59. #16839893C22semidirect
60. #16839893C22semidirect
61. Q8×#92418C22semidirect
368. #3501D61semidirect
458. C61#61847semidirect

Maximal subgroups

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

subgroupindex
#214602192
#214587732
#214587142
#214586822
#214585262
#214584542
#214570722
#214570172
#214569552
#214560622
#214559102
#214558192
#214549142
C61×#35012
#6184761