Finite Group Databasebeta

← #29648901

Subgroups — #29648901

Order 15616.

926 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459732C211yesmaximal, characteristic
2#21454941C211yesmaximal, characteristic, complemented
3#21454941C211yesmaximal, characteristic, complemented
4#21444548C211yesmaximal, characteristic, complemented
5#21444540C211yesmaximal, characteristic, complemented
6#21444536C211yesmaximal, characteristic, complemented
7#21444526C211yesmaximal, characteristic, complemented
8#21444523C211yesmaximal, characteristic, complemented
9#21444512C211yesmaximal, characteristic, complemented
10#21444512C211yesmaximal, characteristic, complemented
11#21444508C211yesmaximal, characteristic, complemented
12#21444495C211yesmaximal, characteristic, complemented
13#21444475C211yesmaximal, characteristic, complemented
14#21444467C211yesmaximal, characteristic, complemented
15C2×C61×#332C211yesmaximal, characteristic, complemented
16#16840486—21no—
17#16840478—21no—
18#16840473—21no—
19#16840460—21no—
20#16840460—21no—
21#16840423—21no—
22#16840423—21no—
23#16840415—21no—
24#16840386C412yes—
25#16840386C412yes—
26#16840343C412yes—
27#16840317C2211yescharacteristic
28#16840317C2211yescharacteristic
29#16840313C2211yescharacteristic
30#16840313C2211yescharacteristic
31#16840312C2211yescharacteristic
32#16840243C412yes—
33C4×#11758222C2211yescharacteristic
34#16839891—21no—
35#16839891—21no—
36#16839833—21no—
37#16839833—21no—
38#16839832—21no—
39#16839832—21no—
40C8×C22⋊D61—21no—
41C8×C22⋊D61—21no—
42#16839819C2211yescharacteristic
43#16839819C2211yescharacteristic
44#16839818C2211yescharacteristic
45#16839818C2211yescharacteristic
46#16839814C2211yescharacteristic
47#16839814C2211yescharacteristic
48#16839784C2211yescharacteristic
49#16839784C2211yescharacteristic
50C4⋊C8×D61C2211yescharacteristic
51C4⋊C8×D61C2211yescharacteristic
52#16839510C2211yescharacteristic
53#16839510C2211yescharacteristic
54#16839510C2211yescharacteristic
55#16839510C2211yescharacteristic
56#16839508C2211yescharacteristic
57#16839508C2211yescharacteristic
58#16839508C2211yescharacteristic
59#16839508C2211yescharacteristic
60#16839505C2211yescharacteristic
61#16839505C2211yescharacteristic
62#16839505C2211yescharacteristic
63#16839505C2211yescharacteristic
64C2×C4⋊Q8×C61C2211yescharacteristic
65C2×C4⋊C8×C61C2211yescharacteristic
66C2×C4⋊C8×C61C2211yescharacteristic
67C61×#332C2211yescharacteristic
68C61×#332C2211yescharacteristic
69C61×#332C2211yescharacteristic
70C61×#332C2211yescharacteristic
71C2×#11758226—21no—
72C2×#11758226—21no—
73C2×#11758222C2×C411yescharacteristic
74C2×#11758222C2×C412yes—
75C2×#11758189—21no—
76C2×#11758189—21no—
77C2×C8×D61—21no—
78C2×C8×D61—21no—
79#14519777C2311yescharacteristic
80#14519774C2311yescharacteristic
81#14519772—22no—
82#14519772—22no—
83#14519768—21no—
84#14519768—21no—
85#14519766—22no—
86#14519766—22no—
87#14519766—21no—
88#14519766—21no—
89#14519765C2×C412yes—
90#14519762—22no—
91#14519762—22no—
92#14519757—22no—
93#14519757C2×C412yes—
94#14519757C2×C412yes—
95#14519753—21no—
96#14519753—21no—
97#14519753—22no—
98#14519753—22no—
99#14519752—22no—
100#14519752—21no—
101#14519752—21no—
102#14519752C2×C412yes—
103#14519752C2×C412yes—
104#14519751—21no—
105#14519751—21no—
106#14519751—22no—
107#14519751—22no—
108Q8×Dic61—21no—
109Q8×Dic61—21no—
110C4×Dic122D411yescharacteristic
111C4×Dic122D411yescharacteristic
112#14519742C2×C412yes—
113#14519742C2×C412yes—
114C4×D244—21no—
115C4×D244—21no—
116C4×D244D411yescharacteristic
117C4×D244D411yescharacteristic
118#14519739—21no—
119#14519739—21no—
120#14519739C2×C412yes—
121#14519739C2×C412yes—
122C4×C22⋊D61—22no—
123C4×C22⋊D61—22no—
124C4×C22⋊D61D411yescharacteristic
125C4×C22⋊D61D411yescharacteristic
126C4×C22⋊D61D411yescharacteristic
127C4×C22⋊D61D411yescharacteristic
128#14519736C2×C411yescharacteristic
129#14519735—21no—
130#14519735—21no—
131#14519735—22no—
132#14519734C2×C411yescharacteristic
133#14519734C2×C411yescharacteristic
134C4⋊C4×D61—22no—
135C42×D61C2311yescharacteristic
136C42×D61C2311yescharacteristic
137C4⋊#92418C2311yescharacteristic
138C4⋊#92418C2311yescharacteristic
139C4⋊#92418C2311yescharacteristic
140C4⋊#92418C2311yescharacteristic
141#14519706—21no—
142#14519706—21no—
143#14519706—21no—
144#14519706—21no—
145C22⋊#92418—21no—
146C22⋊#92418—21no—
147#14519689—21no—
148#14519689—21no—
149#14519689—21no—
150#14519689—21no—
151#14519688—21no—
152#14519688—21no—
153#14519687—21no—
154#14519687—21no—
155C8×Dic61—21no—
156C8×Dic61—21no—
157C22×Q8×C61—21no—
158C22×C8×C61—21no—
159C22×C8×C61—21no—
160C4⋊Q8×C61—21no—
161C4⋊Q8×C61—21no—
162C4⋊Q8×C61C2×C412yes—
163C4⋊Q8×C61C2311yescharacteristic
164C4⋊Q8×C61C2311yescharacteristic
165C2×C4⋊C4×C61—21no—
166C2×C4⋊C4×C61C2×C412yes—
167C2×C42×C61C2311yescharacteristic
168C4⋊C8×C61—21no—
169C4⋊C8×C61—21no—
170C4⋊C8×C61C2311yescharacteristic
171C4⋊C8×C61C2311yescharacteristic
172C4⋊C8×C61C2311yescharacteristic
173C4⋊C8×C61C2311yescharacteristic
174C2×Q8×C61—22no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C2×Q8×C61—81no—
178C2×Q8×C61—81no—
179C22×C4×C61—22no—
180C22×C4×C61C22×C411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C2×C22⋊D61—22no—
184C2×C22⋊D61C22⋊C411yescharacteristic
185C2×C22⋊D61C22⋊C411yescharacteristic
186#11758226—81no—
187#11758226—81no—
188#11758226—81no—
189#11758226—81no—
190#11758222—42no—
191#11758222—44no—
192C2×D244—21no—
193C2×D244—21no—
194C2×D244—22no—
195C2×D244—22no—
196C2×D244C22⋊C411yescharacteristic
197C2×D244C22×C412yes—
198C2×C4×D61—22no—
199C2×C4×D61—22no—
200C2×C4×D61—22no—
201C2×C4×D61C22×C411yescharacteristic
202C2×C4×D61C22×C411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×Dic122C22⋊C411yescharacteristic
208C2×Dic122C22×C412yes—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—81no—
214C2×C8×C61—81no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61C22×C412yes—
220C4⋊C4×C61C22×C412yes—
221C42×C61C22×C411yescharacteristic
222C42×C61C2×D411yescharacteristic
223C42×C61C2×D411yescharacteristic
224C42×C61C2411yescharacteristic
225C22⋊Dic61C22⋊C411yescharacteristic
226C22⋊Dic61C22⋊C411yescharacteristic
227#11758198—22no—
228#11758198—22no—
229#11758198—22no—
230#11758198—22no—
231#11758198—22no—
232#11758198—22no—
233#11758198—22no—
234#11758198—22no—
235#11758198C22⋊C411yescharacteristic
236#11758198C22⋊C411yescharacteristic
237#11758198C22⋊C411yescharacteristic
238#11758198C22⋊C411yescharacteristic
239C4⋊Dic61—21no—
240C4⋊Dic61—21no—
241C4⋊Dic61—22no—
242C4⋊Dic61—22no—
243C4⋊Dic61C22⋊C411yescharacteristic
244C4⋊Dic61C22⋊C411yescharacteristic
245#11758196—22no—
246#11758196—22no—
247#11758196C22⋊C411yescharacteristic
248#11758196C22⋊C411yescharacteristic
249#11758196C22⋊C411yescharacteristic
250#11758196C22⋊C411yescharacteristic
251C4×Dic61—22no—
252C4×Dic61—22no—
253C4×Dic61C22×C411yescharacteristic
254C4×Dic61C22×C411yescharacteristic
255C4×Dic61C2×D411yescharacteristic
256C4×Dic61C2×D411yescharacteristic
257C4×Dic61C2×D411yescharacteristic
258C4×Dic61C2×D411yescharacteristic
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263#11758189—81no—
264#11758189—81no—
265C8×D61—81no—
266C8×D61—81no—
267C23×C61C2×C22⋊C411yescharacteristic
268C22×D61—22no—
269C22×D61C2×C22⋊C411yescharacteristic
270C22×D61C2×C22⋊C411yescharacteristic
271Q8×C61—41no—
272Q8×C61—41no—
273Q8×C61—41no—
274Q8×C61—41no—
275Q8×C61—82no—
276C2×C4×C61—22no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—22no—
282C2×C4×C61—22no—
283C2×C4×C61—82no—
284C2×C4×C61C2×C22⋊C411yescharacteristic
285C2×C4×C61C2×C22⋊C411yescharacteristic
286C2×C4×C61C2×C22⋊C411yescharacteristic
287C2×C4×C61C23×C411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C22⋊D61—22no—
291C22⋊D61—22no—
292C22⋊D61—44no—
293C2×Dic61—22no—
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×C22⋊C411yescharacteristic
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61C2×C22⋊C411yescharacteristic
300D244—41no—
301D244—42no—
302D244—41no—
303D244—41no—
304D244—41no—
305D244—41no—
306D244—82no—
307D244—82no—
308C4×D61—21no—
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—21no—
313C4×D61—21no—
314C4×D61—21no—
315C4×D61—21no—
316C4×D61—41no—
317C4×D61—41no—
318C4×D61—44no—
319C4×D61—82no—
320C4×D61—82no—
321Dic122—41no—
322Dic122—42no—
323C8×C61—41no—
324C8×C61—41no—
325C8×C61—41no—
326C8×C61—41no—
327#92418—41no—
328#92418—41no—
329#92418—41no—
330#92418—41no—
331#17775—611nomaximal, Sylow
332C22×C61—21no—
333C22×C61—21no—
334C22×C61#41312yes—
335C22×C61C22×C22⋊C411yescharacteristic
336C2×D61—21no—
337C2×D61—21no—
338C2×D61—21no—
339C2×D61—21no—
340C2×D61—21no—
341C2×D61—21no—
342C2×D61—42no—
343C2×D61—42no—
344C2×D61—42no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—42no—
350C4×C61—42no—
351C4×C61#57611yescharacteristic
352C4×C61#57711yescharacteristic
353C4×C61#57711yescharacteristic
354C4×C61#57811yescharacteristic
355Dic61—21no—
356Dic61—21no—
357Dic61—21no—
358Dic61—21no—
359Dic61—21no—
360Dic61—21no—
361Dic61—42no—
362#3511—611no—
363#2990—611no—
364#2990—611no—
365#1559—611no—
366#1557—611no—
367#1556—611no—
368#1554—611no—
369#1553—611no—
370#1551—611no—
371#1551—611no—
372#1550—611no—
373#1547—611no—
374#1542—611no—
375#1540—611no—
376C2×#332D6111yescharacteristic, complemented
377C2×C61—22no—
378C2×C61C2×#41311yescharacteristic
379C2×C61#289711yescharacteristic
380C2×C61#289811yescharacteristic
381D61—41no—
382D61—41no—
383D61—82no—
384#556—1221no—
385#555—1221no—
386#554—1221no—
387#553—1221no—
388#553—1221no—
389#548—1221no—
390#548—1221no—
391#547—1221no—
392#542—612no—
393#542—612no—
394#537—612no—
395#533—611no—
396#533—611no—
397#532—611no—
398#532—611no—
399#532—611no—
400C2×C4⋊Q8C2×D6111yescharacteristic
401#520—612no—
402C4×#41—611no—
403#446—1221no—
404#446—1221no—
405#435—1221no—
406#435—1221no—
407#435—1221no—
408#435—1221no—
409C8×D4—1221no—
410C8×D4—1221no—
411#432—611no—
412#432—611no—
413#432—611no—
414#432—611no—
415#431—611no—
416#431—611no—
417#423—611no—
418#423—611no—
419C2×C4⋊C8—611no—
420C2×C4⋊C8—611no—
421C2×C4⋊C8C2×D6111yescharacteristic
422C2×C4⋊C8C2×D6111yescharacteristic
423#333—611no—
424#333—611no—
425#333—611no—
426#333—611no—
427#332—611no—
428#332—611no—
429#332—611no—
430#332—611no—
431#332C2×D6111yescharacteristic
432#332C2×D6111yescharacteristic
433#332C2×D6111yescharacteristic
434#332C2×D6111yescharacteristic
435#331—611no—
436#331—611no—
437#331—611no—
438#331—611no—
439C61#1777511yescharacteristic, complemented, Sylow
440C2×#41—611no—
441C2×#41—612no—
442C2×#41—1221no—
443C2×#41—1221no—
444C22×Q8—21no—
445C2×M16—1221no—
446C2×M16—1221no—
447C22×C8—21no—
448C22×C8—21no—
449C22×C8—1221no—
450C22×C8—1221no—
451C4⋊Q8—21no—
452C4⋊Q8—21no—
453C4⋊Q8—611no—
454C4⋊Q8C4×D6112yes—
455C4⋊Q8C22×D6111yescharacteristic
456C4⋊Q8C22×D6111yescharacteristic
457#127—611no—
458#126—1222no—
459#126—1222no—
460#125—1221no—
461#125—1221no—
462#124—612no—
463#124—1221no—
464#124—1221no—
465#124—1222no—
466#124—1222no—
467#123—1222no—
468#123—1222no—
469C22⋊Q8—612no—
470C22⋊Q8—612no—
471C22⋊Q8—1222no—
472C22⋊Q8—1222no—
473C22⋊Q8—1222no—
474C22⋊Q8—1221no—
475C22⋊Q8—1221no—
476#121—612no—
477#121—612no—
478#121—1221no—
479#121—1221no—
480#121—1222no—
481#121—1222no—
482#121—1222no—
483#121—1221no—
484#121—1221no—
485C4×Q8—611no—
486C4×Q8—611no—
487C4×Q8—612no—
488C4×Q8—612no—
489C4×Q8—1221no—
490C4×Q8—1221no—
491C4×D4—611no—
492C4×D4—611no—
493C4×D4—611no—
494C4×D4—611no—
495C4×D4—612no—
496C4×D4—612no—
497C4×D4—611no—
498C4×D4—611no—
499C4×D4—1221no—
500C4×D4—1221no—
501C4×D4—1222no—
502C4×D4—1222no—
503C4×D4—1221no—
504C4×D4—1221no—
505#117—611no—
506#117—611no—
507#117—611no—
508#117—1222no—
509#117—1221no—
510#117—1221no—
511C2×C4⋊C4—21no—
512C2×C4⋊C4—1222no—
513C2×C4⋊C4C4×D6112yes—
514C2×C42—611no—
515C2×C42—611no—
516C2×C42C22×D6111yescharacteristic
517C4⋊C8—21no—
518C4⋊C8—21no—
519C4⋊C8—611no—
520C4⋊C8—611no—
521C4⋊C8—611no—
522C4⋊C8—611no—
523C4⋊C8—1221no—
524C4⋊C8—1221no—
525C4⋊C8—1221no—
526C4⋊C8—1221no—
527C4⋊C8C22×D6111yescharacteristic
528C4⋊C8C22×D6111yescharacteristic
529C4⋊C8C22×D6111yescharacteristic
530C4⋊C8C22×D6111yescharacteristic
531C22⋊C8—1221no—
532C22⋊C8—1221no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536C22⋊C8—1221no—
537#97—1221no—
538#97—1221no—
539#97—1221no—
540#97—1221no—
541C4×C8—1221no—
542C4×C8—1221no—
543#41—4881no—
544#41—4881no—
545#41—4881no—
546#41—4881no—
547#41—2442no—
548#41—2444no—
549C2×Q8—21no—
550C2×Q8—21no—
551C2×Q8—22no—
552C2×Q8—81no—
553C2×Q8—81no—
554C2×Q8—611no—
555C2×Q8—612no—
556C2×D4—611no—
557C2×D4—611no—
558C2×D4—612no—
559C2×D4—611no—
560C2×D4—1222no—
561C2×D4—1222no—
562C2×D4—1222no—
563C2×D4—1221no—
564C2×D4—1221no—
565C22×C4—22no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—1222no—
573C22×C4—1222no—
574C22×C4—1222no—
575C22×C4C2×C4×D6111yescharacteristic
576C22×C4D4×D6111yescharacteristic
577C22×C4D4×D6111yescharacteristic
578M16—4881no—
579M16—4881no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—81no—
585C2×C8—81no—
586C2×C8—1221no—
587C2×C8—1221no—
588C2×C8—1221no—
589C2×C8—1221no—
590C2×C8—4881no—
591C2×C8—4881no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—611no—
597C4⋊C4—611no—
598C4⋊C4—611no—
599C4⋊C4—611no—
600C4⋊C4—611no—
601C4⋊C4—611no—
602C4⋊C4—1222no—
603C4⋊C4—1222no—
604C4⋊C4—1222no—
605C4⋊C4—1222no—
606C4⋊C4—1221no—
607C4⋊C4—1221no—
608C4⋊C4C2×C4×D6112yes—
609C4⋊C4C2×C4×D6112yes—
610C22⋊C4—611no—
611C22⋊C4—611no—
612C22⋊C4—611no—
613C22⋊C4—611no—
614C22⋊C4—611no—
615C22⋊C4—611no—
616C22⋊C4—1222no—
617C22⋊C4—1222no—
618C22⋊C4—1222no—
619C22⋊C4—1222no—
620C22⋊C4—1222no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C42—611no—
625C42—611no—
626C42—611no—
627C42—611no—
628C42—611no—
629C42—611no—
630C42—1222no—
631C42—1222no—
632C42C2×C4×D6111yescharacteristic
633C42D4×D6111yescharacteristic
634C42D4×D6111yescharacteristic
635C42C23×D6111yescharacteristic
636C23—611no—
637C23—611no—
638C23—1222no—
639C23C22⋊C4×D6111yescharacteristic
640Q8—41no—
641Q8—41no—
642Q8—41no—
643Q8—41no—
644Q8—82no—
645Q8—2441no—
646Q8—2442no—
647D4—1222no—
648D4—1222no—
649D4—4882no—
650D4—4882no—
651D4—2441no—
652D4—2442no—
653D4—2444no—
654D4—2441no—
655D4—2441no—
656D4—2441no—
657D4—2441no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—82no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—1221no—
673C2×C4—1221no—
674C2×C4—1221no—
675C2×C4—1221no—
676C2×C4—1221no—
677C2×C4—1221no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—1222no—
681C2×C4—4882no—
682C2×C4—4882no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2444no—
686C2×C4C22⋊C4×D6111yescharacteristic
687C2×C4C22⋊C4×D6111yescharacteristic
688C2×C4C22⋊C4×D6111yescharacteristic
689C2×C4C22×C4×D6111yescharacteristic
690C2×C4C2×D4×D6111yescharacteristic
691C2×C4C2×D4×D6111yescharacteristic
692C8—41no—
693C8—41no—
694C8—41no—
695C8—41no—
696C8—2441no—
697C8—2441no—
698C8—2441no—
699C8—2441no—
700C22—21no—
701C22—21no—
702C22—1221no—
703C22—1221no—
704C22—1221no—
705C22—1221no—
706C22—1221no—
707C22—1221no—
708C22—2442no—
709C22—2442no—
710C22—2442no—
711C22#1683974512yes—
712C22C2×C22⋊C4×D6111yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—42no—
718C4—42no—
719C4—1221no—
720C4—1221no—
721C4—1221no—
722C4—1221no—
723C4—1221no—
724C4—1221no—
725C4—2442no—
726C4#1684056311yescharacteristic
727C4#1684056811yescharacteristic
728C4#1684056811yescharacteristic
729C4#1684057511yescharacteristic
730C2—22no—
731C2—4882no—
732C2—2441no—
733C2—2441no—
734C2C2×#1683974511yescharacteristic
735C2#2145434011yescharacteristic
736C2#2145434711yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC2×C61×#332C2
socleC22×C61C22×C22⋊C4
prime radical#21459732C2
cosocleC42×C61C24
hypercenterC2×#332D61
hypocenterC61#17775
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#332

Complements

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

NH ≅ G/Ntype
2. #21454941C2semidirect
3. #21454941C2semidirect
4. #21444548C2semidirect
5. #21444540C2semidirect
6. #21444536C2semidirect
7. #21444526C2semidirect
8. #21444523C2semidirect
9. #21444512C2semidirect
10. #21444512C2semidirect
11. #21444508C2semidirect
12. #21444495C2semidirect
13. #21444475C2semidirect
14. #21444467C2semidirect
15. C2×C61×#332C2semidirect
376. C2×#332D61semidirect
439. C61#17775semidirect

Maximal subgroups

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

subgroupindex
#214597322
#214549412
#214445482
#214445402
#214445362
#214445262
#214445232
#214445122
#214445082
#214444952
#214444752
#214444672
C2×C61×#3322
#1777561