Finite Group Databasebeta

← #29700807

Subgroups — #29700807

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×#16839938C211yesmaximal, characteristic
2#21454663C211yesmaximal, characteristic, complemented
3#21454656C211yesmaximal, characteristic, complemented
4#21454346C211yesmaximal, characteristic
5#21454343C211yesmaximal, characteristic
6#21446632C211yesmaximal, characteristic, complemented
7#21446482C211yesmaximal, characteristic, complemented
8#21446479C211yesmaximal, characteristic, complemented
9#21446331C211yesmaximal, characteristic, complemented
10#21446220C211yesmaximal, characteristic, complemented
11#21446048C211yesmaximal, characteristic, complemented
12#21446043C211yesmaximal, characteristic, complemented
13#21445662C211yesmaximal, characteristic, complemented
14#21445661C211yesmaximal, characteristic, complemented
15C61×#1908C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17C2×#14519808C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519766C2211yescharacteristic
20#16840245C2211yescharacteristic
21#16840243C2211yescharacteristic
22#16840240C2211yescharacteristic, complemented
23#16839938C418yescomplemented
24#16839869—21no—
25#16839866—21no—
26#16839865—21no—
27#16839863—21no—
28Q16×Dic61—21no—
29#16839854—21no—
30SD16×Dic61—21no—
31#16839847—21no—
32#16839804C2211yescharacteristic, complemented
33#16839802C2211yescharacteristic, complemented
34C2×#14519704C2211yescharacteristic
35C2×#14519703C2211yescharacteristic
36#16839768—21no—
37#16839768C2211yescharacteristic
38#16839768C2211yescharacteristic
39#16839765—21no—
40#16839764—21no—
41#16839764C2211yescharacteristic
42#16839762—21no—
43#16839759—21no—
44#16839759C2211yescharacteristic
45#16839758C2211yescharacteristic
46#16839757—21no—
47C2×#14519701C2211yescharacteristic, complemented
48C2×#14519699—21no—
49C2×#14519699C2211yescharacteristic
50C2×#14519697C2211yescharacteristic
51#102×D61—21no—
52C2×#14519693C2211yescharacteristic
53#16839720C2211yescharacteristic, complemented
54#16839717C2211yescharacteristic, complemented
55C2×#14519687C2211yescharacteristic, complemented
56#16839631C2211yescharacteristic, complemented
57#16839530C2211yescharacteristic, complemented
58#16839526C2211yescharacteristic, complemented
59#16839523C2211yescharacteristic, complemented
60#16839523C2211yescharacteristic, complemented
61C2×#137×C61C2211yescharacteristic
62C2×#131×C61C2211yescharacteristic
63C61×#417C2211yescharacteristic
64C2×#103×C61C2211yescharacteristic, complemented
65C2×#101×C61C2211yescharacteristic, complemented
66C61×#343C2211yescharacteristic, complemented
67C61×#341C2211yescharacteristic, complemented
68#14519823—22no—
69#14519823—22no—
70#14519823—41no—
71#14519823C2×C414yes—
72C2×#11758226—21no—
73C2×#11758222—21no—
74C2×#11758222C2311yescharacteristic
75C22×D244—21no—
76C22×D244C2311yescharacteristic
77C2×D4×D61—21no—
78C2×D4×D61—41no—
79#14519808—22no—
80#14519808C2×C414yescomplemented
81C2×#11758202—21no—
82C2×#11758201—21no—
83#14519785—22no—
84#14519785—41no—
85C2×#11758194C2311yescharacteristic
86C2×#11758189—21no—
87C22×#92418C2311yescharacteristic
88C2×C8×D61—21no—
89#14519766—41no—
90#14519766C2×C414yescomplemented
91Q8×Dic61—21no—
92Q8×Dic61—21no—
93Q8×Dic61—21no—
94Q8×Dic61—21no—
95Q8×Dic61—21no—
96#14519742—21no—
97D4×Dic61—21no—
98D4×Dic61—41no—
99#14519739—21no—
100C4×C22⋊D61—41no—
101#14519736—21no—
102#14519736—41no—
103#14519736C2311yescharacteristic
104#14519736C2311yescharacteristic
105#14519735—21no—
106C2×C4⋊Dic61—21no—
107C2×C4⋊Dic61C2311yescharacteristic
108C2×#11758196—41no—
109C4⋊C4×D61—21no—
110C2×#11758198—41no—
111C2×C4×Dic61C2311yescharacteristic
112#14519711—21no—
113#14519710—21no—
114#14519709—21no—
115#14519708—21no—
116#14519704C2×C414yescomplemented
117#14519703C2×C414yescomplemented
118#14519702—21no—
119#14519702D411yescharacteristic
120#14519702D411yescharacteristic
121#14519701—21no—
122#14519701—21no—
123#14519701D411yescharacteristic
124#14519701D411yescharacteristic
125#14519699—21no—
126#14519699—21no—
127#14519699—21no—
128#14519699—21no—
129#14519699—21no—
130#14519699—21no—
131#14519699—21no—
132#14519699D411yescharacteristic
133#14519699D411yescharacteristic
134#14519698D411yescharacteristic
135#14519698D411yescharacteristic
136#14519697—21no—
137#14519697—21no—
138#14519693C2×C414yescomplemented
139#14519687—21no—
140#14519687—21no—
141#14519687—41no—
142C8×Dic61—21no—
143C8×Dic61—21no—
144C2×#41×C61C2311yescharacteristic
145C22×Q8×C61C2311yescharacteristic
146#137×C61—22no—
147#137×C61C2×C414yescomplemented
148C2×Q16×C61—21no—
149C2×SD16×C61—21no—
150#131×C61—22no—
151#131×C61—41no—
152C2×M16×C61—21no—
153C2×M16×C61C2311yescharacteristic
154C2×M16×C61C2311yescharacteristic
155C2×M16×C61C2311yescharacteristic
156C22×C8×C61—21no—
157C22×C8×C61C2311yescharacteristic
158C2×C4⋊C4×C61C2311yescharacteristic
159#103×C61—21no—
160#103×C61—21no—
161#103×C61—21no—
162#102×C61—21no—
163#101×C61—41no—
164C23×D61—21no—
165C23×D61—41no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61C22×C412yes—
169#41×C61#4112yes—
170C2×Q8×C61—21no—
171C2×Q8×C61—21no—
172C2×Q8×C61—21no—
173C2×Q8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61C22×C412yes—
176C2×Q8×C61C2×D411yescharacteristic
177C2×D4×C61—21no—
178C2×D4×C61C2×D411yescharacteristic
179C22×C4×C61—21no—
180C22×C4×C61—21no—
181C22×C4×C61—21no—
182C22×C4×C61C2411yescharacteristic
183C2×C22⋊D61—21no—
184C2×C22⋊D61—41no—
185C22×Dic61—21no—
186C22×Dic61—21no—
187C22×Dic61—41no—
188#11758226—24no—
189#11758226—42no—
190D4×D61—24no—
191D4×D61—42no—
192D4×D61—44no—
193D4×D61—44no—
194#11758222—21no—
195#11758222—21no—
196#11758222—24no—
197#11758222—42no—
198#11758222C22×C412yes—
199#11758222#4112yes—
200C2×D244—21no—
201C2×D244—21no—
202C2×D244—21no—
203C2×D244—21no—
204C2×D244—24no—
205C2×D244—21no—
206C2×D244—42no—
207C2×D244—41no—
208C2×D244C22×C412yes—
209C2×D244C2×D411yescharacteristic
210C2×C4×D61—21no—
211C2×C4×D61—41no—
212C2×C4×D61—41no—
213C2×Dic122C2×D411yescharacteristic
214Q16×C61—24no—
215SD16×C61—24no—
216M16×C61—21no—
217M16×C61—21no—
218M16×C61—21no—
219M16×C61—21no—
220M16×C61—21no—
221M16×C61—42no—
222M16×C61C22×C412yes—
223C2×C8×C61—21no—
224C2×C8×C61—21no—
225C2×C8×C61—21no—
226C2×C8×C61—21no—
227C2×C8×C61—21no—
228C2×C8×C61—42no—
229C2×C8×C61C2×D411yescharacteristic
230C2×C8×C61C2×D411yescharacteristic
231C4⋊C4×C61—21no—
232C4⋊C4×C61—21no—
233C22⋊Dic61—21no—
234C22⋊Dic61—21no—
235C22⋊Dic61—41no—
236#11758202—24no—
237#11758201—24no—
238#11758198—44no—
239#11758198—41no—
240C4⋊Dic61—21no—
241C4⋊Dic61—21no—
242C4⋊Dic61—41no—
243C4⋊Dic61—41no—
244C4⋊Dic61—41no—
245C4⋊Dic61C2×D411yescharacteristic
246C4⋊Dic61C2×D411yescharacteristic
247C4⋊Dic61C2×D411yescharacteristic
248C4⋊Dic61C2×D411yescharacteristic
249#11758196—41no—
250#11758196—82no—
251C4×Dic61—21no—
252C4×Dic61—21no—
253C4×Dic61—21no—
254C4×Dic61—41no—
255C4×Dic61—41no—
256C4×Dic61—41no—
257C4×Dic61—41no—
258C4×Dic61C22×C412yes—
259#11758194—21no—
260#11758194C22×C412yes—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418C2×D411yescharacteristic
265C2×#92418C2×D411yescharacteristic
266#11758189—42no—
267C8×D61—42no—
268C23×C61—21no—
269C23×C61H(5,𝔽2)11yescharacteristic
270C22×D61—21no—
271C22×D61—22no—
272C22×D61—44no—
273C22×D61—41no—
274C22×D61—41no—
275C22×D61—81no—
276C22×D61—81no—
277C22×D61—161no—
278C22×D61—161no—
279Q8×C61—21no—
280Q8×C61—22no—
281Q8×C61—22no—
282Q8×C61—41no—
283Q8×C61—41no—
284Q8×C61C4×D412yes—
285D4×C61—22no—
286D4×C61—22no—
287D4×C61—21no—
288D4×C61C4×D412yes—
289C2×C4×C61—21no—
290C2×C4×C61—22no—
291C2×C4×C61—22no—
292C2×C4×C61—22no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—81no—
297C2×C4×C61C23×C411yescharacteristic
298C2×C4×C61C22×D411yescharacteristic
299C2×C4×C61C22×D411yescharacteristic
300C2×C4×C61C2×#4111yescharacteristic
301C2×C4×C61C2×#4111yescharacteristic
302C2×C4×C61H(5,𝔽2)11yescharacteristic
303C22⋊D61—22no—
304C22⋊D61—22no—
305C22⋊D61—44no—
306C2×Dic61—21no—
307C2×Dic61—22no—
308C2×Dic61—21no—
309C2×Dic61—21no—
310C2×Dic61—21no—
311C2×Dic61—21no—
312C2×Dic61—41no—
313C2×Dic61—41no—
314C2×Dic61—41no—
315C2×Dic61—81no—
316C2×Dic61—161no—
317D244—22no—
318D244—22no—
319D244—21no—
320D244—44no—
321D244—41no—
322D244—41no—
323D244C4×D412yes—
324C4×D61—22no—
325C4×D61—22no—
326C4×D61—44no—
327C4×D61—161no—
328Dic122—21no—
329Dic122C4×D412yes—
330C8×C61—22no—
331C8×C61—21no—
332C8×C61—21no—
333C8×C61—41no—
334C8×C61—41no—
335#92418—22no—
336#92418—21no—
337#92418—21no—
338#22890—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—22no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61#51811yescharacteristic
345C22×C61D4211yescharacteristic
346C22×C61#55111yescharacteristic
347C2×D61—22no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—42no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—82no—
354C2×D61—164no—
355C2×D61—161no—
356C4×C61—22no—
357C4×C61—42no—
358C4×C61—81no—
359C4×C61C2×C4×D411yescharacteristic
360C4×C61C2×C4×D411yescharacteristic
361C4×C61#54611yescharacteristic
362C4×C61#54611yescharacteristic
363Dic61—22no—
364Dic61—42no—
365Dic61—41no—
366Dic61—41no—
367Dic61—41no—
368Dic61—41no—
369Dic61—81no—
370C2×#455—611no—
371#2947—611no—
372#2947—611no—
373#2897—611no—
374#2897—611no—
375#1959—611no—
376#1931—611no—
377#1931—611no—
378#1908—611no—
379#1908D6111yescharacteristic, complemented
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#235811yescharacteristic
389C2×C61#328811yescharacteristic
390C2×C61#328911yescharacteristic
391D61—42no—
392D61—82no—
393C2×H(5,𝔽2)—611no—
394C2×#137—611no—
395C2×#137C2×D6111yescharacteristic
396C2×#131—611no—
397C2×#131C2×D6111yescharacteristic
398C2×#124—611no—
399#520—611no—
400#520—611no—
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—611no—
416#418—611no—
417#418—1221no—
418#418—1221no—
419#417—611no—
420#417—1221no—
421#417—1221no—
422#417C2×D6111yescharacteristic
423#416—611no—
424#416—611no—
425#416—1221no—
426#416—1221no—
427C2×#103—611no—
428C2×#103C2×D6111yescharacteristic, complemented
429C2×#102—611no—
430C2×#102—611no—
431C2×#102—1221no—
432C2×#102—1221no—
433C2×#101C2×D6111yescharacteristic, complemented
434C2×#100—611no—
435#405—611no—
436#405—611no—
437C2×#97—611no—
438#384—611no—
439#343—611no—
440#343C2×D6111yescharacteristic, complemented
441#341—611no—
442#341C2×D6111yescharacteristic, complemented
443#339—611no—
444#339—611no—
445C61#2289011yescharacteristic, complemented, Sylow
446H(5,𝔽2)—614no—
447H(5,𝔽2)—1222no—
448H(5,𝔽2)—1222no—
449H(5,𝔽2)—2441no—
450C2×#41—611no—
451C2×#41—1221no—
452C2×#41—1221no—
453C2×#41C22×D6111yescharacteristic
454C22×Q8C22×D6111yescharacteristic
455C22×D4—611no—
456C22×D4—1221no—
457C22×D4—1221no—
458C22×D4—2441no—
459#137—22no—
460#137—614no—
461#137—1222no—
462#137C4×D6114yescomplemented
463C2×Q16—21no—
464C2×Q16—1221no—
465C2×SD16—21no—
466C2×SD16—1221no—
467#131—22no—
468#131—41no—
469#131—1222no—
470#131—2441no—
471C2×M16—21no—
472C2×M16—611no—
473C2×M16—1221no—
474C2×M16C22×D6111yescharacteristic
475C2×M16C22×D6111yescharacteristic
476C2×M16C22×D6111yescharacteristic
477C22×C8—21no—
478C22×C8—611no—
479C22×C8—1221no—
480C22×C8C22×D6111yescharacteristic
481#124—614no—
482#124—2441no—
483C4×Q8—1221no—
484C4×Q8—1221no—
485C4×Q8—1221no—
486C4×Q8—1221no—
487C4×Q8—1221no—
488C4×Q8—1221no—
489C4×D4—1221no—
490C4×D4—1221no—
491C4×D4—2441no—
492C4×D4—2441no—
493#117—611no—
494#117—611no—
495#117—1221no—
496#117—1221no—
497#117—2441no—
498C2×C4⋊C4—611no—
499C2×C4⋊C4—1221no—
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—21no—
513#103—21no—
514#103—611no—
515#103—611no—
516#103—611no—
517#103—611no—
518#103—1221no—
519#103—1221no—
520#103—1221no—
521#102—21no—
522#102—611no—
523#102—611no—
524#102—611no—
525#102—611no—
526#102—1221no—
527#102—1221no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#102—1221no—
533#102—1221no—
534#102—1221no—
535#101—41no—
536#100—614no—
537#97—1221no—
538#97—1221no—
539#97—2441no—
540C4×C8—1221no—
541C4×C8—1221no—
542C24—1221no—
543C24—2441no—
544#41—21no—
545#41—21no—
546#41—612no—
547#41—612no—
548#41—1224no—
549#41—1221no—
550#41—1221no—
551#41—1224no—
552#41—2442no—
553#41—2442no—
554#41C2×C4×D6112yes—
555#41#1175822412yes—
556C2×Q8—21no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—611no—
562C2×Q8C2×C4×D6112yes—
563C2×Q8D4×D6111yescharacteristic
564C2×D4—21no—
565C2×D4—612no—
566C2×D4—611no—
567C2×D4—1224no—
568C2×D4—1221no—
569C2×D4—1224no—
570C2×D4—1221no—
571C2×D4—1221no—
572C2×D4—1221no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—2442no—
576C2×D4—2441no—
577C2×D4—2442no—
578C2×D4—2441no—
579C2×D4—2444no—
580C2×D4—2444no—
581C2×D4D4×D6111yescharacteristic
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—1221no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—2441no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592Q16—24no—
593Q16—1224no—
594SD16—24no—
595SD16—1224no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16—21no—
601M16—42no—
602M16—612no—
603M16—1221no—
604M16—2442no—
605M16C2×C4×D6112yes—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—42no—
612C2×C8—611no—
613C2×C8—611no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—2442no—
618C2×C8D4×D6111yescharacteristic
619C2×C8D4×D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—611no—
623C4⋊C4—611no—
624C4⋊C4—611no—
625C4⋊C4—611no—
626C4⋊C4—1221no—
627C4⋊C4—1221no—
628C4⋊C4—4882no—
629C4⋊C4—2441no—
630C4⋊C4—2441no—
631C4⋊C4—2441no—
632C4⋊C4—2441no—
633C22⋊C4—1221no—
634C22⋊C4—1221no—
635C22⋊C4—2444no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C42—612no—
639C42—1221no—
640C42—1221no—
641C42—1221no—
642C42—2441no—
643C42—2441no—
644C42—2441no—
645C42—2441no—
646C23—21no—
647C23—1221no—
648C23—1222no—
649C23—9761no—
650C23—9761no—
651C23—4881no—
652C23—4881no—
653C23—2444no—
654C23—2441no—
655C23—2441no—
656C23#1451982311yescharacteristic
657Q8—21no—
658Q8—22no—
659Q8—22no—
660Q8—41no—
661Q8—41no—
662Q8—612no—
663Q8—1221no—
664Q8#1451973712yes—
665D4—22no—
666D4—22no—
667D4—21no—
668D4—612no—
669D4—1222no—
670D4—1222no—
671D4—1222no—
672D4—1222no—
673D4—1221no—
674D4—2444no—
675D4—2444no—
676D4—2441no—
677D4—2441no—
678D4#1451973712yes—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—81no—
687C2×C4—1221no—
688C2×C4—1222no—
689C2×C4—1222no—
690C2×C4—1222no—
691C2×C4—1221no—
692C2×C4—1221no—
693C2×C4—1221no—
694C2×C4—1221no—
695C2×C4—9761no—
696C2×C4—9761no—
697C2×C4—4881no—
698C2×C4—2444no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4C22×C4×D6111yescharacteristic
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4#41×D6111yescharacteristic
706C2×C4C2×#1175822411yescharacteristic
707C2×C4#1451982211yescharacteristic
708C8—22no—
709C8—21no—
710C8—21no—
711C8—41no—
712C8—41no—
713C8—1222no—
714C8—1221no—
715C8—1221no—
716C22—21no—
717C22—21no—
718C22—22no—
719C22—41no—
720C22—41no—
721C22—1222no—
722C22—9761no—
723C22—9764no—
724C22—4882no—
725C22—4881no—
726C22—4881no—
727C22—2442no—
728C22—2441no—
729C22—2441no—
730C22#1684023411yescharacteristic
731C22#1684039611yescharacteristic
732C22#1684043511yescharacteristic
733C4—22no—
734C4—42no—
735C4—81no—
736C4—1222no—
737C4—4881no—
738C4—2442no—
739C4—2441no—
740C4—2441no—
741C4—2441no—
742C4—2441no—
743C4C4×D4×D6111yescharacteristic
744C4C2×#1451973711yescharacteristic
745C4#1684039911yescharacteristic
746C4#1684040111yescharacteristic
747C2—21no—
748C2—21no—
749C2—42no—
750C2—4882no—
751C2—2442no—
752C2#2144879911yescharacteristic
753C2#2145758411yescharacteristic
754C2#2145759311yescharacteristic
subgroupG/H
centerC22#16840396
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1908C2
socleC22×C61D42
prime radicalC2×#14519823C22
cosocleC22×C4×C61C24
hypercenter#1908D61
hypocenterC61#22890
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1908

Complements

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

NH ≅ G/Ntype
2. #21454663C2semidirect
3. #21454656C2semidirect
6. #21446632C2semidirect
7. #21446482C2semidirect
8. #21446479C2semidirect
9. #21446331C2semidirect
10. #21446220C2semidirect
11. #21446048C2semidirect
12. #21446043C2semidirect
13. #21445662C2semidirect
14. #21445661C2semidirect
15. C61×#1908C2semidirect
22. #16840240C22semidirect
23. #16839938C4semidirect
32. #16839804C22semidirect
33. #16839802C22semidirect
47. C2×#14519701C22semidirect
53. #16839720C22semidirect
54. #16839717C22semidirect
55. C2×#14519687C22semidirect
56. #16839631C22semidirect
57. #16839530C22semidirect
58. #16839526C22semidirect
59. #16839523C22semidirect
60. #16839523C22semidirect
64. C2×#103×C61C22semidirect
65. C2×#101×C61C22semidirect
66. C61×#343C22semidirect
67. C61×#341C22semidirect
80. #14519808C2×C4semidirect
90. #14519766C2×C4semidirect
116. #14519704C2×C4semidirect
117. #14519703C2×C4semidirect
138. #14519693C2×C4semidirect
147. #137×C61C2×C4semidirect
379. #1908D61semidirect
428. C2×#103C2×D61semidirect
433. C2×#101C2×D61semidirect
440. #343C2×D61semidirect
442. #341C2×D61semidirect
445. C61#22890semidirect
462. #137C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399382
#214546632
#214546562
#214543462
#214543432
#214466322
#214464822
#214464792
#214463312
#214462202
#214460482
#214460432
#214456622
#214456612
C61×#19082
#2289061