Finite Group Databasebeta

← #29648967

Subgroups — #29648967

Order 15616.

924 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#21459731C211yesmaximal, characteristic
2#21454949C211yesmaximal, characteristic, complemented
3#21454946C211yesmaximal, characteristic, complemented
4#21444553C211yesmaximal, characteristic, complemented
5#21444546C211yesmaximal, characteristic, complemented
6#21444525C211yesmaximal, characteristic, complemented
7#21444523C211yesmaximal, characteristic, complemented
8#21444502C211yesmaximal, characteristic, complemented
9#21444497C211yesmaximal, characteristic, complemented
10#21444495C211yesmaximal, characteristic, complemented
11#21444489C211yesmaximal, characteristic, complemented
12#21444480C211yesmaximal, characteristic, complemented
13#21444476C211yesmaximal, characteristic, complemented
14#21444473C211yesmaximal, characteristic, complemented
15C61×#1559C211yesmaximal, characteristic, complemented
16#16840484—21no—
17#16840475—21no—
18#16840468—21no—
19#16840465—21no—
20#16840456—21no—
21#16840424—21no—
22#16840422—21no—
23#16840414—21no—
24#16840385C412yes—
25#16840384C412yes—
26#16840342C412yes—
27#16840317C2211yescharacteristic
28#16840313C2211yescharacteristic
29#16840313C2211yescharacteristic
30#16840312C2211yescharacteristic
31C4⋊Q8×D61C2211yescharacteristic
32#16840244C412yes—
33C4×#11758222C2211yescharacteristic
34#16839890—21no—
35#16839886—21no—
36#16839839—21no—
37#16839838—21no—
38#16839838—21no—
39#16839835—21no—
40#16839830—21no—
41#16839825—21no—
42#16839818C2211yescharacteristic
43#16839815C2211yescharacteristic
44#16839814C2211yescharacteristic
45#16839814C2211yescharacteristic
46#16839814C2211yescharacteristic
47#16839784C2211yescharacteristic
48#16839784C2211yescharacteristic
49#16839784C2211yescharacteristic
50C2×C4⋊#92418C2211yescharacteristic
51C4⋊C8×D61C2211yescharacteristic
52#16839511C2211yescharacteristic
53#16839511C2211yescharacteristic
54#16839509C2211yescharacteristic
55#16839509C2211yescharacteristic
56#16839508C2211yescharacteristic
57#16839508C2211yescharacteristic
58#16839507C2211yescharacteristic
59#16839507C2211yescharacteristic
60#16839505C2211yescharacteristic
61#16839505C2211yescharacteristic
62#16839505C2211yescharacteristic
63#16839505C2211yescharacteristic
64C61×#533C2211yescharacteristic
65C61×#432C2211yescharacteristic
66C61×#423C2211yescharacteristic
67C61×#333C2211yescharacteristic
68C61×#333C2211yescharacteristic
69C61×#332C2211yescharacteristic
70C61×#332C2211yescharacteristic
71C2×#11758226—21no—
72C2×#11758226C2×C412yes—
73C2×#11758222—21no—
74C2×#11758222C2×C411yescharacteristic
75C2×Q8×D61—21no—
76C2×#11758189—21no—
77C2×#11758189—21no—
78C2×#11758189—21no—
79C22×#92418—21no—
80C2×C8×D61—21no—
81#14519777C2311yescharacteristic
82#14519776—21no—
83#14519776C2×C412yes—
84#14519775—21no—
85#14519774C2311yescharacteristic
86#14519772—22no—
87#14519771—22no—
88#14519768—21no—
89#14519766—21no—
90#14519766C2×C412yes—
91#14519765—21no—
92#14519765—22no—
93#14519763—22no—
94#14519762—22no—
95#14519759—22no—
96#14519757—21no—
97#14519757—22no—
98#14519755—22no—
99#14519755—22no—
100#14519753C2×C412yes—
101#14519752—22no—
102#14519752—21no—
103#14519752—21no—
104#14519752—21no—
105#14519752C2×C412yes—
106#14519751—21no—
107#14519751C2×C412yes—
108#14519750—22no—
109#14519750—22no—
110Q8×Dic61C2×C412yes—
111C4×Dic122D411yescharacteristic
112C4×Dic122D411yescharacteristic
113#14519742—21no—
114C4×D244—21no—
115C4×D244—22no—
116C4×D244C2×C412yes—
117C4×D244D411yescharacteristic
118C4×D244D411yescharacteristic
119#14519739—22no—
120#14519739—21no—
121#14519739—21no—
122#14519739—21no—
123#14519739C2×C412yes—
124C4×C22⋊D61D411yescharacteristic
125C4×C22⋊D61D411yescharacteristic
126C4×C22⋊D61D411yescharacteristic
127C4×C22⋊D61D411yescharacteristic
128#14519736C2×C411yescharacteristic
129#14519735—21no—
130#14519734—22no—
131#14519734C2×C411yescharacteristic
132#14519734C2×C411yescharacteristic
133C4⋊C4×D61—21no—
134C4⋊C4×D61—22no—
135C4⋊C4×D61C2×C412yes—
136C42×D61C2311yescharacteristic
137C42×D61C2311yescharacteristic
138C4⋊#92418—21no—
139C4⋊#92418C2311yescharacteristic
140C4⋊#92418C2311yescharacteristic
141C4⋊#92418C2311yescharacteristic
142C4⋊#92418C2311yescharacteristic
143#14519706—21no—
144#14519706—21no—
145#14519706—21no—
146#14519706—21no—
147C22⋊#92418—21no—
148#14519689—21no—
149#14519689—21no—
150#14519689—21no—
151#14519689—21no—
152#14519687—21no—
153C4×#92418—21no—
154C8×Dic61—21no—
155C8×Dic61—21no—
156C8×Dic61—21no—
157C2×M16×C61—21no—
158C4⋊Q8×C61C2311yescharacteristic
159C4⋊Q8×C61C2311yescharacteristic
160#125×C61—21no—
161C22⋊Q8×C61—21no—
162C22⋊Q8×C61C2×C412yes—
163C4×Q8×C61—21no—
164C4×Q8×C61C2×C412yes—
165#117×C61—21no—
166C2×C42×C61C2311yescharacteristic
167C4⋊C8×C61—21no—
168C4⋊C8×C61C2311yescharacteristic
169C4⋊C8×C61C2311yescharacteristic
170C4⋊C8×C61C2311yescharacteristic
171C4⋊C8×C61C2311yescharacteristic
172C22⋊C8×C61—21no—
173#97×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61C22×C412yes—
176C22×C4×C61C22×C411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C2×C22⋊D61—22no—
180C2×C22⋊D61C22⋊C411yescharacteristic
181C2×C22⋊D61C22⋊C411yescharacteristic
182#11758226—44no—
183#11758226—81no—
184#11758226—81no—
185Q8×D61—81no—
186Q8×D61—81no—
187#11758222—42no—
188#11758222—81no—
189#11758222—81no—
190C2×D244—22no—
191C2×D244—21no—
192C2×D244—21no—
193C2×D244—22no—
194C2×D244C22⋊C411yescharacteristic
195C2×D244C22×C412yes—
196C2×C4×D61—22no—
197C2×C4×D61—22no—
198C2×C4×D61—22no—
199C2×C4×D61—22no—
200C2×C4×D61C22×C411yescharacteristic
201C2×C4×D61C22×C411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×Dic122—21no—
207C2×Dic122—22no—
208C2×Dic122C22⋊C411yescharacteristic
209M16×C61—81no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61C22×C412yes—
220C22⋊C4×C61—22no—
221C42×C61—22no—
222C42×C61C22×C411yescharacteristic
223C42×C61C2×D411yescharacteristic
224C42×C61C2×D411yescharacteristic
225C42×C61C2411yescharacteristic
226C22⋊Dic61C22⋊C411yescharacteristic
227C22⋊Dic61C22⋊C411yescharacteristic
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—22no—
241C4⋊Dic61C22⋊C411yescharacteristic
242C4⋊Dic61C22⋊C411yescharacteristic
243C4⋊Dic61C22×C412yes—
244#11758196—22no—
245#11758196—22no—
246#11758196—22no—
247#11758196C22⋊C411yescharacteristic
248#11758196C22⋊C411yescharacteristic
249#11758196C22⋊C411yescharacteristic
250#11758196C22⋊C411yescharacteristic
251C4×Dic61—22no—
252C4×Dic61C22×C411yescharacteristic
253C4×Dic61C22×C411yescharacteristic
254C4×Dic61C2×D411yescharacteristic
255C4×Dic61C2×D411yescharacteristic
256C4×Dic61C2×D411yescharacteristic
257C4×Dic61C2×D411yescharacteristic
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—81no—
263#11758189—81no—
264#11758189—81no—
265#11758189—81no—
266C8×D61—81no—
267C23×C61C2×C22⋊C411yescharacteristic
268C22×D61—22no—
269C22×D61C2×C22⋊C411yescharacteristic
270C22×D61C2×C22⋊C411yescharacteristic
271Q8×C61—42no—
272Q8×C61—41no—
273Q8×C61—41no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—41no—
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C2×C22⋊C411yescharacteristic
284C2×C4×C61C23×C411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C22⋊D61—22no—
288C22⋊D61—41no—
289C22⋊D61—82no—
290C2×Dic61—22no—
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297D244—41no—
298D244—42no—
299D244—44no—
300D244—41no—
301D244—41no—
302D244—41no—
303D244—41no—
304D244—82no—
305C4×D61—21no—
306C4×D61—21no—
307C4×D61—21no—
308C4×D61—21no—
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—21no—
313C4×D61—22no—
314C4×D61—41no—
315C4×D61—44no—
316C4×D61—82no—
317C4×D61—82no—
318C4×D61—82no—
319Dic122—22no—
320Dic122—41no—
321Dic122—41no—
322Dic122—82no—
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#17781—611nomaximal, Sylow
332C22×C61—21no—
333C22×C61—21no—
334C22×C61—21no—
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—42no—
361Dic61#41312yes—
362#3511—611no—
363#2991—611no—
364#2990—611no—
365#1560—611no—
366#1559—611no—
367#1559D6111yescharacteristic, complemented
368#1553—611no—
369#1553—611no—
370#1549—611no—
371#1547—611no—
372#1547—611no—
373#1546—611no—
374#1543—611no—
375#1542—611no—
376#1542—611no—
377C2×C61—41no—
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#533C2×D6111yescharacteristic
397#532—611no—
398#532—611no—
399#532—611no—
400C2×C4⋊Q8—611no—
401#520—612no—
402C4×#41—611no—
403#446—1221no—
404C8×Q8—1221no—
405#436—1221no—
406#436—1221no—
407#436—1221no—
408#435—1221no—
409#435—1221no—
410C8×D4—1221no—
411#432—611no—
412#432C2×D6111yescharacteristic
413#431—611no—
414#431—611no—
415#431—611no—
416#431—611no—
417#423—611no—
418#423—611no—
419#423—611no—
420#423C2×D6111yescharacteristic
421C2×C4⋊C8—611no—
422C2×C4⋊C8—611no—
423#333—611no—
424#333—611no—
425#333C2×D6111yescharacteristic
426#333C2×D6111yescharacteristic
427#332—611no—
428#332—611no—
429#332—611no—
430#332—611no—
431#332—611no—
432#332—611no—
433#332C2×D6111yescharacteristic
434#332C2×D6111yescharacteristic
435#331—611no—
436#331—611no—
437#331—611no—
438#331—611no—
439C61#1778111yescharacteristic, complemented, Sylow
440C2×#41—611no—
441C2×#41—612no—
442C2×#41—1221no—
443C2×#41—1221no—
444C22×Q8—1221no—
445C2×M16—21no—
446C2×M16—1221no—
447C2×M16—1221no—
448C2×M16—1221no—
449C22×C8—1221no—
450C22×C8—1221no—
451C4⋊Q8—612no—
452C4⋊Q8—611no—
453C4⋊Q8—1221no—
454C4⋊Q8—1221no—
455C4⋊Q8C22×D6111yescharacteristic
456C4⋊Q8C22×D6111yescharacteristic
457#127—611no—
458#126—1222no—
459#126—1222no—
460#125—21no—
461#125—1221no—
462#124—612no—
463#124—1222no—
464#124—1221no—
465#124—1222no—
466#124—1221no—
467#123—1222no—
468#123—1222no—
469C22⋊Q8—21no—
470C22⋊Q8—612no—
471C22⋊Q8—1222no—
472C22⋊Q8—1222no—
473C22⋊Q8—1221no—
474C22⋊Q8—1222no—
475C22⋊Q8C4×D6112yes—
476#121—612no—
477#121—612no—
478#121—1222no—
479#121—1222no—
480#121—1221no—
481#121—1221no—
482#121—1221no—
483#121—1222no—
484#121—1221no—
485C4×Q8—21no—
486C4×Q8—611no—
487C4×Q8—611no—
488C4×Q8—612no—
489C4×Q8—1221no—
490C4×Q8C4×D6112yes—
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—1222no—
500C4×D4—1221no—
501C4×D4—1221no—
502C4×D4—1221no—
503C4×D4—1222no—
504C4×D4—1221no—
505#117—21no—
506#117—611no—
507#117—611no—
508#117—611no—
509#117—1222no—
510#117—1221no—
511C2×C4⋊C4—612no—
512C2×C4⋊C4—1222no—
513C2×C4⋊C4—1221no—
514C2×C42—611no—
515C2×C42—611no—
516C2×C42C22×D6111yescharacteristic
517C4⋊C8—21no—
518C4⋊C8—611no—
519C4⋊C8—611no—
520C4⋊C8—611no—
521C4⋊C8—611no—
522C4⋊C8—1221no—
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—21no—
532C22⋊C8—1221no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536C22⋊C8—1221no—
537#97—21no—
538#97—1221no—
539C4×C8—1221no—
540C4×C8—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—611no—
551C2×Q8—1222no—
552C2×Q8—1221no—
553C2×Q8—4881no—
554C2×Q8—4881no—
555C2×Q8C2×C4×D6112yes—
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—611no—
566C22×C4—611no—
567C22×C4—611no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—1222no—
572C22×C4—1222no—
573C22×C4—1222no—
574C22×C4—1222no—
575C22×C4C2×C4×D6111yescharacteristic
576C22×C4D4×D6111yescharacteristic
577C22×C4D4×D6111yescharacteristic
578M16—81no—
579M16—4881no—
580M16—4881no—
581M16—4881no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
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—21no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—611no—
598C4⋊C4—611no—
599C4⋊C4—611no—
600C4⋊C4—611no—
601C4⋊C4—611no—
602C4⋊C4—611no—
603C4⋊C4—612no—
604C4⋊C4—1222no—
605C4⋊C4—1222no—
606C4⋊C4—1222no—
607C4⋊C4—1222no—
608C4⋊C4—1221no—
609C4⋊C4C2×C4×D6112yes—
610C22⋊C4—22no—
611C22⋊C4—611no—
612C22⋊C4—611no—
613C22⋊C4—611no—
614C22⋊C4—611no—
615C22⋊C4—611no—
616C22⋊C4—611no—
617C22⋊C4—1222no—
618C22⋊C4—1222no—
619C22⋊C4—1222no—
620C22⋊C4—1222no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C42—22no—
625C42—611no—
626C42—611no—
627C42—611no—
628C42—611no—
629C42—611no—
630C42—611no—
631C42—1222no—
632C42C2×C4×D6111yescharacteristic
633C42D4×D6111yescharacteristic
634C42D4×D6111yescharacteristic
635C42C23×D6111yescharacteristic
636C23—611no—
637C23—611no—
638C23—1222no—
639C23C22⋊C4×D6111yescharacteristic
640Q8—42no—
641Q8—41no—
642Q8—41no—
643Q8—1222no—
644Q8—4882no—
645Q8—2441no—
646Q8—2441no—
647D4—1222no—
648D4—4882no—
649D4—4882no—
650D4—2441no—
651D4—2442no—
652D4—2444no—
653D4—2441no—
654D4—2441no—
655D4—2441no—
656D4—2441no—
657D4—2441no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—41no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—611no—
671C2×C4—1222no—
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—4882no—
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—21no—
703C22—1221no—
704C22—1221no—
705C22—1221no—
706C22—1221no—
707C22—1221no—
708C22—1221no—
709C22—2442no—
710C22—2442no—
711C22—2442no—
712C22C2×C22⋊C4×D6111yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—42no—
718C4—42no—
719C4—612no—
720C4—1221no—
721C4—1221no—
722C4—1221no—
723C4—1221no—
724C4—1221no—
725C4—2442no—
726C4#1684056611yescharacteristic
727C4#1684057111yescharacteristic
728C4#1684057111yescharacteristic
729C4#1684057811yescharacteristic
730C2—41no—
731C2—4882no—
732C2—2441no—
733C2—2441no—
734C2#413×D6111yescharacteristic
735C2#2145434311yescharacteristic
736C2#2145435111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1559C2
socleC22×C61C22×C22⋊C4
prime radical#21459731C2
cosocleC42×C61C24
hypercenter#1559D61
hypocenterC61#17781
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1559

Complements

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

NH ≅ G/Ntype
2. #21454949C2semidirect
3. #21454946C2semidirect
4. #21444553C2semidirect
5. #21444546C2semidirect
6. #21444525C2semidirect
7. #21444523C2semidirect
8. #21444502C2semidirect
9. #21444497C2semidirect
10. #21444495C2semidirect
11. #21444489C2semidirect
12. #21444480C2semidirect
13. #21444476C2semidirect
14. #21444473C2semidirect
15. C61×#1559C2semidirect
367. #1559D61semidirect
439. C61#17781semidirect

Maximal subgroups

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

subgroupindex
#214597312
#214549492
#214549462
#214445532
#214445462
#214445252
#214445232
#214445022
#214444972
#214444952
#214444892
#214444802
#214444762
#214444732
C61×#15592
#1778161