Finite Group Databasebeta

← #29700806

Subgroups — #29700806

Order 15616.

1020 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839940C211yesmaximal, characteristic
2#21454665C211yesmaximal, characteristic, complemented
3#21454658C211yesmaximal, characteristic, complemented
4#21454345C211yesmaximal, characteristic
5#21446634C211yesmaximal, characteristic, complemented
6#21446484C211yesmaximal, characteristic, complemented
7#21446478C211yesmaximal, characteristic, complemented
8#21446334C211yesmaximal, characteristic, complemented
9#21446332C211yesmaximal, characteristic, complemented
10#21446219C211yesmaximal, characteristic, complemented
11#21446045C211yesmaximal, characteristic, complemented
12#21446043C211yesmaximal, characteristic, complemented
13#21445666C211yesmaximal, characteristic, complemented
14#21445661C211yesmaximal, characteristic, complemented
15C61×#2897C211yesmaximal, characteristic
16C2×#14519807C2211yescharacteristic
17C2×#14519807C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C2×#14519764C2211yescharacteristic
20#16840245C2211yescharacteristic
21#16840239C2211yescharacteristic, complemented
22#16839940C418yescomplemented
23#16839867—21no—
24#16839866—21no—
25#16839862—21no—
26#16839859—21no—
27C4×#11758202—21no—
28#16839854—21no—
29#16839853—21no—
30C4×#11758200—21no—
31#16839805C2211yescharacteristic, complemented
32#16839802C2211yescharacteristic, complemented
33C2×#14519704C2211yescharacteristic
34C2×#14519704C2211yescharacteristic
35#16839767—21no—
36#16839767C2211yescharacteristic
37#16839763—21no—
38#16839763C2211yescharacteristic
39#16839758—21no—
40#16839758C2211yescharacteristic
41C2×#14519702C2211yescharacteristic, complemented
42C2×#14519700C2211yescharacteristic, complemented
43C2×#14519698—21no—
44C2×#14519698C2211yescharacteristic
45C2×#14519695C2211yescharacteristic, complemented
46C2×#14519694C2211yescharacteristic
47#16839718C2211yescharacteristic, complemented
48#16839717C2211yescharacteristic, complemented
49C2×#14519687C2211yescharacteristic, complemented
50#16839631C2211yescharacteristic, complemented
51#16839531C2211yescharacteristic, complemented
52#16839530C2211yescharacteristic, complemented
53#16839527C2211yescharacteristic, complemented
54#16839526C2211yescharacteristic, complemented
55#16839523C2211yescharacteristic, complemented
56#16839521C2211yescharacteristic, complemented
57C2×H(5,𝔽2)×C61C2211yescharacteristic
58C2×#131×C61C2211yescharacteristic
59C61×#520C2211yescharacteristic
60C61×#418—21no—
61C61×#418C2211yescharacteristic
62C61×#417—21no—
63C61×#417C2211yescharacteristic
64C61×#416—21no—
65C61×#416C2211yescharacteristic
66C2×#102×C61—21no—
67C2×#102×C61C2211yescharacteristic
68C22×Dic122C2311yescharacteristic
69#14519807—22no—
70#14519807—22no—
71#14519807C2×C414yescomplemented
72#14519807C2×C414yescomplemented
73C2×#11758202—21no—
74C2×#11758202—21no—
75C2×#11758200—21no—
76C2×#11758200—21no—
77#14519784—22no—
78#14519784—41no—
79C2×#11758194—21no—
80C2×#11758194C2311yescharacteristic
81C2×#11758194C2311yescharacteristic
82C2×#11758194C2311yescharacteristic
83C22×#92418—21no—
84C22×#92418C2311yescharacteristic
85#14519764—41no—
86#14519764C2×C414yescomplemented
87Q8×Dic61—21no—
88C4×Dic122—21no—
89C4×Dic122—21no—
90#14519742—21no—
91#14519742—21no—
92D4×Dic61—21no—
93D4×Dic61—41no—
94#14519736—21no—
95#14519736C2311yescharacteristic
96#14519733—41no—
97C2×C4⋊Dic61—21no—
98C2×C4⋊Dic61C2311yescharacteristic
99C2×#11758196—41no—
100C2×C22⋊Dic61—41no—
101C2×C4×Dic61C2311yescharacteristic
102#14519710—21no—
103#14519710—21no—
104#14519708—21no—
105#14519708—21no—
106#14519704C2×C414yescomplemented
107#14519704C2×C414yescomplemented
108#14519702—21no—
109#14519702—21no—
110#14519701—21no—
111#14519701D411yescharacteristic
112#14519701D411yescharacteristic
113#14519700—21no—
114#14519700—21no—
115#14519698—21no—
116#14519698—21no—
117#14519698—21no—
118#14519698—21no—
119#14519698—21no—
120#14519698D411yescharacteristic
121#14519698D411yescharacteristic
122#14519695—41no—
123#14519694C2×C414yescomplemented
124#14519688—21no—
125#14519687—21no—
126#14519687—41no—
127C4×#92418—21no—
128C8×Dic61—21no—
129H(5,𝔽2)×C61—22no—
130H(5,𝔽2)×C61—22no—
131H(5,𝔽2)×C61—41no—
132H(5,𝔽2)×C61C2×C414yes—
133C2×#41×C61—21no—
134C2×#41×C61—21no—
135C2×#41×C61C2311yescharacteristic
136C2×#41×C61C2311yescharacteristic
137C22×D4×C61—21no—
138C22×D4×C61—21no—
139C22×D4×C61—41no—
140C22×D4×C61C2311yescharacteristic
141#131×C61—22no—
142#131×C61—41no—
143C2×M16×C61—21no—
144C2×M16×C61C2311yescharacteristic
145C22×C8×C61—21no—
146C22×C8×C61C2311yescharacteristic
147C4×Q8×C61—21no—
148C4×D4×C61—21no—
149C4×D4×C61—41no—
150#117×C61—21no—
151#117×C61C2311yescharacteristic
152C2×C4⋊C4×C61—21no—
153C2×C4⋊C4×C61C2311yescharacteristic
154#103×C61—21no—
155#103×C61D411yescharacteristic
156#103×C61D411yescharacteristic
157#102×C61—21no—
158#102×C61—21no—
159#102×C61—21no—
160#102×C61—21no—
161#102×C61—21no—
162#102×C61D411yescharacteristic
163#102×C61D411yescharacteristic
164C24×C61—21no—
165C24×C61—41no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—24no—
171#41×C61—24no—
172#41×C61—42no—
173#41×C61—42no—
174#41×C61C22×C412yes—
175#41×C61C22×C412yes—
176#41×C61#4112yes—
177#41×C61#4112yes—
178C2×Q8×C61C2×D411yescharacteristic
179C2×Q8×C61C2×D411yescharacteristic
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—24no—
183C2×D4×C61—24no—
184C2×D4×C61—21no—
185C2×D4×C61—21no—
186C2×D4×C61—21no—
187C2×D4×C61—21no—
188C2×D4×C61—21no—
189C2×D4×C61—42no—
190C2×D4×C61—42no—
191C2×D4×C61—41no—
192C2×D4×C61—41no—
193C2×D4×C61—44no—
194C2×D4×C61—44no—
195C2×D4×C61C22×C412yes—
196C2×D4×C61C2×D411yescharacteristic
197C2×D4×C61C2×D411yescharacteristic
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—21no—
201C22×C4×C61—41no—
202C22×C4×C61—41no—
203C22×C4×C61C2411yescharacteristic
204C22×Dic61—21no—
205C22×Dic61—21no—
206C22×Dic61—21no—
207C22×Dic61—41no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—21no—
211C2×Dic122—21no—
212C2×Dic122—21no—
213C2×Dic122C22×C412yes—
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—42no—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—42no—
221C2×C8×C61C2×D411yescharacteristic
222C2×C8×C61C2×D411yescharacteristic
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—41no—
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C22⋊C4×C61—21no—
229C22⋊C4×C61—41no—
230C42×C61—21no—
231C42×C61—41no—
232C22⋊Dic61—21no—
233C22⋊Dic61—44no—
234C22⋊Dic61—41no—
235#11758202—24no—
236#11758202—24no—
237#11758200—24no—
238#11758200—24no—
239C4⋊Dic61—21no—
240C4⋊Dic61—21no—
241C4⋊Dic61—41no—
242C4⋊Dic61C2×D411yescharacteristic
243C4⋊Dic61C2×D411yescharacteristic
244#11758196—41no—
245#11758196—41no—
246#11758196—82no—
247C4×Dic61—21no—
248C4×Dic61—21no—
249C4×Dic61—41no—
250C4×Dic61—41no—
251C4×Dic61—41no—
252C4×Dic61C22×C412yes—
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—21no—
257#11758194—42no—
258#11758194C22×C412yes—
259#11758194C22×C412yes—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—42no—
266C2×#92418C2×D411yescharacteristic
267C2×#92418C2×D411yescharacteristic
268C23×C61—21no—
269C23×C61—21no—
270C23×C61—22no—
271C23×C61—44no—
272C23×C61—41no—
273C23×C61—41no—
274C23×C61—81no—
275C23×C61—81no—
276C23×C61—161no—
277C23×C61—161no—
278C23×C61H(5,𝔽2)11yescharacteristic
279Q8×C61—21no—
280Q8×C61—21no—
281Q8×C61C4×D412yes—
282Q8×C61C4×D412yes—
283D4×C61—22no—
284D4×C61—22no—
285D4×C61—22no—
286D4×C61—22no—
287D4×C61—22no—
288D4×C61—22no—
289D4×C61—21no—
290D4×C61—21no—
291D4×C61—44no—
292D4×C61—44no—
293D4×C61—41no—
294D4×C61—41no—
295D4×C61C4×D412yes—
296D4×C61C4×D412yes—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—22no—
300C2×C4×C61—22no—
301C2×C4×C61—22no—
302C2×C4×C61—22no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—44no—
306C2×C4×C61—41no—
307C2×C4×C61—81no—
308C2×C4×C61—161no—
309C2×C4×C61C23×C411yescharacteristic
310C2×C4×C61C22×D411yescharacteristic
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C2×#4111yescharacteristic
313C2×C4×C61C2×#4111yescharacteristic
314C2×C4×C61H(5,𝔽2)11yescharacteristic
315C2×Dic61—22no—
316C2×Dic61—22no—
317C2×Dic61—21no—
318C2×Dic61—21no—
319C2×Dic61—41no—
320C2×Dic61—41no—
321C2×Dic61—41no—
322C2×Dic61—41no—
323C2×Dic61—41no—
324C2×Dic61—81no—
325C2×Dic61—161no—
326Dic122—22no—
327Dic122—22no—
328Dic122—41no—
329Dic122—41no—
330C8×C61—21no—
331C8×C61—21no—
332C8×C61—41no—
333#92418—22no—
334#92418—22no—
335#92418—21no—
336#92418—21no—
337#92418—41no—
338#22890—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—22no—
342C22×C61—22no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61—42no—
348C22×C61—82no—
349C22×C61—81no—
350C22×C61—81no—
351C22×C61—161no—
352C22×C61—164no—
353C22×C61#51811yescharacteristic
354C22×C61D4211yescharacteristic
355C22×C61#55111yescharacteristic
356C4×C61—22no—
357C4×C61—22no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61—81no—
361C4×C61C2×C4×D411yescharacteristic
362C4×C61C2×C4×D411yescharacteristic
363C4×C61#54611yescharacteristic
364C4×C61#54611yescharacteristic
365Dic61—42no—
366Dic61—42no—
367Dic61—41no—
368Dic61—41no—
369Dic61—81no—
370C2×#455—611no—
371#2947—611no—
372#2947—611no—
373#2897—611no—
374#2897D6111yescharacteristic
375#1959—611no—
376#1931—611no—
377#1931—611no—
378#1908—611no—
379#1908—611no—
380#1888—611no—
381#1859—611no—
382#1859—611no—
383#1765—611no—
384#1765—611no—
385C2×C61—21no—
386C2×C61—21no—
387C2×C61—42no—
388C2×C61—42no—
389C2×C61—82no—
390C2×C61#235811yescharacteristic
391C2×C61#328811yescharacteristic
392C2×C61#328911yescharacteristic
393C2×H(5,𝔽2)C2×D6111yescharacteristic
394C2×#137—611no—
395C2×#137—611no—
396C2×#131—611no—
397C2×#131C2×D6111yescharacteristic
398C2×#124—611no—
399#520—611no—
400#520C2×D6111yescharacteristic
401#519—611no—
402#455—618no—
403#441—1221no—
404#441—1221no—
405#440—1221no—
406#440—1221no—
407C4×Q16—1221no—
408C4×Q16—1221no—
409C4×SD16—1221no—
410C4×SD16—1221no—
411#428—611no—
412#428—611no—
413C2×#104—611no—
414C2×#104—611no—
415#418—21no—
416#418—611no—
417#418—1221no—
418#418C2×D6111yescharacteristic
419#417—21no—
420#417—611no—
421#417—1221no—
422#417C2×D6111yescharacteristic
423#416—21no—
424#416—611no—
425#416—1221no—
426#416C2×D6111yescharacteristic
427C2×#103—611no—
428C2×#103—611no—
429C2×#102—21no—
430C2×#102—611no—
431C2×#102—1221no—
432C2×#102C2×D6111yescharacteristic
433C2×#101—611no—
434C2×#100—611no—
435#405—611no—
436#405—611no—
437C2×#97—611no—
438#384—611no—
439#343—611no—
440#343—611no—
441#341—611no—
442#341—611no—
443#339—611no—
444#339—611no—
445C61#2289011yescharacteristic, complemented, Sylow
446H(5,𝔽2)—22no—
447H(5,𝔽2)—22no—
448H(5,𝔽2)—41no—
449H(5,𝔽2)C4×D6114yes—
450C2×#41—21no—
451C2×#41—21no—
452C2×#41C22×D6111yescharacteristic
453C2×#41C22×D6111yescharacteristic
454C22×Q8—611no—
455C22×D4—21no—
456C22×D4—21no—
457C22×D4—41no—
458C22×D4C22×D6111yescharacteristic
459#137—614no—
460#137—614no—
461#137—1222no—
462#137—1222no—
463C2×Q16—1221no—
464C2×Q16—1221no—
465C2×SD16—1221no—
466C2×SD16—1221no—
467#131—22no—
468#131—41no—
469#131—1222no—
470#131—2441no—
471C2×M16—21no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—611no—
475C2×M16—1221no—
476C2×M16C22×D6111yescharacteristic
477C22×C8—21no—
478C22×C8—611no—
479C22×C8—1221no—
480C22×C8C22×D6111yescharacteristic
481#124—614no—
482#124—2441no—
483C4×Q8—21no—
484C4×Q8—1221no—
485C4×Q8—1221no—
486C4×Q8—1221no—
487C4×Q8—1221no—
488C4×Q8—1221no—
489C4×D4—21no—
490C4×D4—41no—
491C4×D4—1221no—
492C4×D4—2441no—
493#117—21no—
494#117—611no—
495#117—1221no—
496#117—2441no—
497#117C22×D6111yescharacteristic
498C2×C4⋊C4—21no—
499C2×C4⋊C4—611no—
500C2×C4⋊C4—1221no—
501C2×C4⋊C4—2441no—
502C2×C4⋊C4C22×D6111yescharacteristic
503C2×C22⋊C4—2441no—
504C2×C42—611no—
505#107—1221no—
506#107—1221no—
507#106—1221no—
508#106—1221no—
509#104—614no—
510#104—614no—
511#103—21no—
512#103—611no—
513#103—611no—
514#103—1221no—
515#103—1221no—
516#103—1221no—
517#103—1221no—
518#103—1221no—
519#103C22⋊D6111yescharacteristic
520#103C22⋊D6111yescharacteristic
521#102—21no—
522#102—21no—
523#102—21no—
524#102—21no—
525#102—21no—
526#102—611no—
527#102—611no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#102—1221no—
533#102C22⋊D6111yescharacteristic
534#102C22⋊D6111yescharacteristic
535#101—2441no—
536#100—614no—
537#97—1221no—
538#97—1221no—
539#97—2441no—
540C4×C8—1221no—
541C4×C8—1221no—
542C24—21no—
543C24—41no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—24no—
549#41—24no—
550#41—42no—
551#41—42no—
552#41C2×C4×D6112yes—
553#41C2×C4×D6112yes—
554#41#1175822212yes—
555#41#1175822412yes—
556C2×Q8—612no—
557C2×Q8—1221no—
558C2×Q8—1221no—
559C2×Q8—1221no—
560C2×Q8—1221no—
561C2×Q8—1221no—
562C2×Q8D4×D6111yescharacteristic
563C2×Q8C2×C22⋊D6111yescharacteristic
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—24no—
567C2×D4—24no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—42no—
574C2×D4—42no—
575C2×D4—41no—
576C2×D4—41no—
577C2×D4—44no—
578C2×D4—44no—
579C2×D4C2×C4×D6112yes—
580C2×D4D4×D6111yescharacteristic
581C2×D4C2×C22⋊D6111yescharacteristic
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—41no—
586C22×C4—41no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—1221no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592Q16—1224no—
593Q16—1224no—
594SD16—1224no—
595SD16—1224no—
596M16—21no—
597M16—21no—
598M16—42no—
599M16—612no—
600M16—612no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—2442no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—42no—
610C2×C8—611no—
611C2×C8—611no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—2442no—
618C2×C8C2×C22⋊D6111yescharacteristic
619C2×C8C2×C22⋊D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—41no—
623C4⋊C4—611no—
624C4⋊C4—611no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
627C4⋊C4—4882no—
628C4⋊C4—2441no—
629C4⋊C4—2441no—
630C4⋊C4—2441no—
631C4⋊C4C2×C22⋊D6111yescharacteristic
632C4⋊C4C2×C22⋊D6111yescharacteristic
633C22⋊C4—21no—
634C22⋊C4—41no—
635C22⋊C4—1221no—
636C22⋊C4—2444no—
637C22⋊C4—2441no—
638C42—21no—
639C42—41no—
640C42—612no—
641C42—1221no—
642C42—1221no—
643C42—2441no—
644C42—2441no—
645C42—2441no—
646C23—21no—
647C23—21no—
648C23—22no—
649C23—44no—
650C23—41no—
651C23—41no—
652C23—81no—
653C23—81no—
654C23—161no—
655C23—161no—
656C23#1451982211yescharacteristic
657Q8—21no—
658Q8—21no—
659Q8—1222no—
660Q8—1222no—
661Q8—2441no—
662Q8—2441no—
663Q8#1451973712yes—
664Q8C4×C22⋊D6112yes—
665D4—22no—
666D4—22no—
667D4—22no—
668D4—22no—
669D4—22no—
670D4—22no—
671D4—21no—
672D4—21no—
673D4—44no—
674D4—44no—
675D4—41no—
676D4—41no—
677D4#1451973712yes—
678D4C4×C22⋊D6112yes—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—81no—
690C2×C4—161no—
691C2×C4—1222no—
692C2×C4—1222no—
693C2×C4—1221no—
694C2×C4—1221no—
695C2×C4—9761no—
696C2×C4—4881no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4C22×C4×D6111yescharacteristic
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C22×C22⋊D6111yescharacteristic
705C2×C4C2×#1175822411yescharacteristic
706C2×C4C2×#1175822211yescharacteristic
707C2×C4#1451982211yescharacteristic
708C8—21no—
709C8—21no—
710C8—41no—
711C8—1222no—
712C8—1222no—
713C8—1221no—
714C8—1221no—
715C8—2441no—
716C22—21no—
717C22—21no—
718C22—22no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—81no—
727C22—81no—
728C22—161no—
729C22—164no—
730C22#1684023511yescharacteristic
731C22D4×C22⋊D6111yescharacteristic
732C22#1684043811yescharacteristic
733C4—22no—
734C4—22no—
735C4—41no—
736C4—41no—
737C4—81no—
738C4—4881no—
739C4—2442no—
740C4—2442no—
741C4—2441no—
742C4—2441no—
743C4C2×#1451973711yescharacteristic
744C4C2×C4×C22⋊D6111yescharacteristic
745C4#1684040211yescharacteristic
746C4#1684040611yescharacteristic
747C2—21no—
748C2—21no—
749C2—42no—
750C2—42no—
751C2—82no—
752C2#2144879811yescharacteristic
753C2#2145758311yescharacteristic
754C2#2145759211yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2897C2
socleC22×C61D42
prime radicalC2×H(5,𝔽2)×C61C22
cosocleC22×C4×C61C24
hypercenter#2897D61
hypocenterC61#22890
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2897

Complements

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

NH ≅ G/Ntype
2. #21454665C2semidirect
3. #21454658C2semidirect
5. #21446634C2semidirect
6. #21446484C2semidirect
7. #21446478C2semidirect
8. #21446334C2semidirect
9. #21446332C2semidirect
10. #21446219C2semidirect
11. #21446045C2semidirect
12. #21446043C2semidirect
13. #21445666C2semidirect
14. #21445661C2semidirect
21. #16840239C22semidirect
22. #16839940C4semidirect
31. #16839805C22semidirect
32. #16839802C22semidirect
41. C2×#14519702C22semidirect
42. C2×#14519700C22semidirect
45. C2×#14519695C22semidirect
47. #16839718C22semidirect
48. #16839717C22semidirect
49. C2×#14519687C22semidirect
50. #16839631C22semidirect
51. #16839531C22semidirect
52. #16839530C22semidirect
53. #16839527C22semidirect
54. #16839526C22semidirect
55. #16839523C22semidirect
56. #16839521C22semidirect
71. #14519807C2×C4semidirect
72. #14519807C2×C4semidirect
86. #14519764C2×C4semidirect
106. #14519704C2×C4semidirect
107. #14519704C2×C4semidirect
123. #14519694C2×C4semidirect
445. C61#22890semidirect

Maximal subgroups

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

subgroupindex
C2×#168399402
#214546652
#214546582
#214543452
#214466342
#214464842
#214464782
#214463342
#214463322
#214462192
#214460452
#214460432
#214456662
#214456612
C61×#28972
#2289061