Finite Group Databasebeta

← #29700803

Subgroups — #29700803

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×#16839941C211yesmaximal, characteristic
2#21454660C211yesmaximal, characteristic, complemented
3#21454658C211yesmaximal, characteristic, complemented
4#21454343C211yesmaximal, characteristic
5#21454342C211yesmaximal, characteristic
6#21446633C211yesmaximal, characteristic, complemented
7#21446480C211yesmaximal, characteristic, complemented
8#21446479C211yesmaximal, characteristic, complemented
9#21446335C211yesmaximal, characteristic, complemented
10#21446332C211yesmaximal, characteristic, complemented
11#21446221C211yesmaximal, characteristic, complemented
12#21446044C211yesmaximal, characteristic, complemented
13#21445664C211yesmaximal, characteristic, complemented
14#21445660C211yesmaximal, characteristic, complemented
15C61×#1859C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17C2×#14519810C2211yescharacteristic
18C2×#14519807C2211yescharacteristic
19C2×#14519785C2211yescharacteristic
20C2×#14519784C2211yescharacteristic
21C2×#14519765C2211yescharacteristic
22#16840243C2211yescharacteristic
23#16840239C2211yescharacteristic, complemented
24#16839941C418yescomplemented
25#16839868—21no—
26#16839867—21no—
27#16839862—21no—
28#16839861—21no—
29#16839856—21no—
30C4×#11758202—21no—
31#16839849—21no—
32C4×#11758200—21no—
33#16839802C2211yescharacteristic, complemented
34C2×#14519705C2211yescharacteristic
35#16839768C2211yescharacteristic
36#16839766—21no—
37#16839766C2211yescharacteristic
38#16839765—21no—
39#16839762—21no—
40#16839761—21no—
41#16839761C2211yescharacteristic
42#16839758C2211yescharacteristic
43#16839757—21no—
44#16839756—21no—
45#16839756C2211yescharacteristic
46C2×#14519700C2211yescharacteristic, complemented
47C2×#14519700C2211yescharacteristic, complemented
48C2×#14519697—21no—
49C2×#14519697C2211yescharacteristic
50C2×#14519697C2211yescharacteristic
51#102×D61—21no—
52C2×#14519695C2211yescharacteristic, complemented
53C2×#14519693C2211yescharacteristic
54#16839720C2211yescharacteristic, complemented
55#16839718C2211yescharacteristic, complemented
56C2×#14519688C2211yescharacteristic, complemented
57#16839531C2211yescharacteristic, complemented
58#16839526C2211yescharacteristic, complemented
59#16839526C2211yescharacteristic, complemented
60#16839522C2211yescharacteristic, complemented
61C61×#520C2211yescharacteristic
62C61×#428C2211yescharacteristic, complemented
63C2×#104×C61C2211yescharacteristic
64C61×#417C2211yescharacteristic
65C61×#384C2211yescharacteristic, complemented
66C61×#343C2211yescharacteristic, complemented
67C61×#339C2211yescharacteristic, complemented
68#14519823—22no—
69#14519823—22no—
70#14519823—41no—
71#14519823C2×C414yes—
72C2×#11758226—21no—
73C2×#11758222—21no—
74C2×#11758222C2311yescharacteristic
75C22×Dic122C2311yescharacteristic
76C22×D244—21no—
77C22×D244C2311yescharacteristic
78C2×D4×D61—21no—
79C2×D4×D61—41no—
80#14519810—22no—
81#14519810C2×C414yescomplemented
82#14519807—22no—
83#14519807C2×C414yescomplemented
84C2×Dic244—21no—
85C2×#11758202—21no—
86C2×#11758190—21no—
87C2×#11758200—21no—
88#14519785—22no—
89#14519785—41no—
90#14519784—22no—
91#14519784—41no—
92C2×#11758194—21no—
93C2×#11758194C2311yescharacteristic
94C2×#11758194C2311yescharacteristic
95C2×#11758189—21no—
96C22×#92418—21no—
97C22×#92418C2311yescharacteristic
98C22×#92418C2311yescharacteristic
99C2×C8×D61—21no—
100#14519765—41no—
101#14519765C2×C414yescomplemented
102C4×Dic122—21no—
103C4×Dic122—21no—
104#14519742—21no—
105#14519742—21no—
106#14519742—21no—
107#14519739—21no—
108C4×C22⋊D61—41no—
109#14519736C2311yescharacteristic
110#14519735—21no—
111#14519733—41no—
112C4⋊C4×D61—21no—
113C2×#11758198—41no—
114#14519710—21no—
115#14519708—21no—
116#14519705C2×C414yescomplemented
117#14519701D411yescharacteristic
118#14519701D411yescharacteristic
119#14519700—21no—
120#14519700—21no—
121#14519700—21no—
122#14519700—21no—
123#14519700—21no—
124#14519700D411yescharacteristic
125#14519700D411yescharacteristic
126#14519699—21no—
127#14519699—21no—
128#14519698D411yescharacteristic
129#14519698D411yescharacteristic
130#14519697—21no—
131#14519697—21no—
132#14519697—21no—
133#14519697—21no—
134#14519697—21no—
135#14519697—21no—
136#14519697—21no—
137#14519697D411yescharacteristic
138#14519697D411yescharacteristic
139#14519695—41no—
140#14519693C2×C414yescomplemented
141#14519688—21no—
142#14519688—41no—
143#14519687—21no—
144C4×#92418—21no—
145C8×Dic61—21no—
146C2×#41×C61C2311yescharacteristic
147C2×M16×C61C2311yescharacteristic
148C2×M16×C61C2311yescharacteristic
149C4×Q8×C61—21no—
150C4×D4×C61—21no—
151C4×D4×C61—41no—
152#117×C61—21no—
153#117×C61C2311yescharacteristic
154C2×C4⋊C4×C61—21no—
155C2×C4⋊C4×C61—41no—
156C2×C4⋊C4×C61C2311yescharacteristic
157C2×C4⋊C4×C61C2311yescharacteristic
158C2×C42×C61C2311yescharacteristic
159#107×C61—21no—
160#106×C61—21no—
161#104×C61C2×C414yescomplemented
162#103×C61—21no—
163#102×C61—21no—
164C23×D61—21no—
165C23×D61—41no—
166#41×C61—21no—
167#41×C61—21no—
168#41×C61C22×C412yes—
169#41×C61#4112yes—
170C2×Q8×C61C2×D411yescharacteristic
171C2×D4×C61—21no—
172C2×D4×C61C2×D411yescharacteristic
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—41no—
178C22×C4×C61C2411yescharacteristic
179C2×C22⋊D61—21no—
180C2×C22⋊D61—41no—
181C22×Dic61—21no—
182#11758226—24no—
183#11758226—42no—
184D4×D61—24no—
185D4×D61—42no—
186D4×D61—44no—
187D4×D61—44no—
188#11758222—21no—
189#11758222—21no—
190#11758222—24no—
191#11758222—42no—
192#11758222C22×C412yes—
193#11758222#4112yes—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244—24no—
199C2×D244—21no—
200C2×D244—42no—
201C2×D244—41no—
202C2×D244C22×C412yes—
203C2×D244C2×D411yescharacteristic
204C2×C4×D61—21no—
205C2×C4×D61—41no—
206C2×C4×D61—41no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—21no—
211C2×Dic122—21no—
212C2×Dic122C22×C412yes—
213C2×Dic122C2×D411yescharacteristic
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—21no—
217M16×C61C22×C412yes—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—41no—
225C4⋊C4×C61—82no—
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C22⋊C4×C61—21no—
229C22⋊C4×C61—41no—
230C42×C61—21no—
231C42×C61—21no—
232C42×C61—41no—
233C42×C61C22×C412yes—
234C22⋊Dic61—21no—
235#11758202—24no—
236#11758200—24no—
237#11758198—44no—
238#11758198—41no—
239C4⋊Dic61C2×D411yescharacteristic
240C4⋊Dic61C2×D411yescharacteristic
241#11758196—41no—
242#11758196—41no—
243#11758196—41no—
244C4×Dic61—21no—
245C4×Dic61—41no—
246C4×Dic61—41no—
247C4×Dic61—41no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—42no—
252#11758194C22×C412yes—
253C2×#92418—21no—
254C2×#92418—21no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—42no—
260C2×#92418C2×D411yescharacteristic
261C2×#92418C2×D411yescharacteristic
262C2×#92418C2×D411yescharacteristic
263C2×#92418C2×D411yescharacteristic
264Dic244—24no—
265#11758190—24no—
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×C61C4×D412yes—
281D4×C61—22no—
282D4×C61—22no—
283D4×C61—21no—
284D4×C61C4×D412yes—
285C2×C4×C61—21no—
286C2×C4×C61—22no—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—41no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—81no—
296C2×C4×C61—81no—
297C2×C4×C61—161no—
298C2×C4×C61C23×C411yescharacteristic
299C2×C4×C61C22×D411yescharacteristic
300C2×C4×C61C22×D411yescharacteristic
301C2×C4×C61C2×#4111yescharacteristic
302C2×C4×C61C2×#4111yescharacteristic
303C2×C4×C61H(5,𝔽2)11yescharacteristic
304C22⋊D61—22no—
305C22⋊D61—22no—
306C22⋊D61—44no—
307C2×Dic61—21no—
308C2×Dic61—22no—
309C2×Dic61—21no—
310C2×Dic61—21no—
311C2×Dic61—41no—
312C2×Dic61—41no—
313D244—22no—
314D244—22no—
315D244—21no—
316D244—44no—
317D244—41no—
318D244—41no—
319D244C4×D412yes—
320C4×D61—22no—
321C4×D61—22no—
322C4×D61—44no—
323C4×D61—161no—
324Dic122—21no—
325Dic122—22no—
326Dic122—22no—
327Dic122—41no—
328Dic122—41no—
329Dic122C4×D412yes—
330C8×C61—22no—
331C8×C61—41no—
332#92418—22no—
333#92418—21no—
334#92418—21no—
335#92418—21no—
336#92418—21no—
337#92418—41no—
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—41no—
359C4×C61—41no—
360C4×C61—81no—
361C4×C61—81no—
362C4×C61C2×C4×D411yescharacteristic
363C4×C61C2×C4×D411yescharacteristic
364C4×C61#54611yescharacteristic
365C4×C61#54611yescharacteristic
366Dic61—22no—
367Dic61—42no—
368Dic61—41no—
369Dic61—41no—
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#1908—611no—
380#1888—611no—
381#1859—611no—
382#1859D6111yescharacteristic, complemented
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×#137—611no—
396C2×#131—611no—
397C2×#131—611no—
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#428C2×D6111yescharacteristic, complemented
413C2×#104—611no—
414C2×#104C2×D6111yescharacteristic
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×#103—611no—
429C2×#102—611no—
430C2×#102—611no—
431C2×#102—1221no—
432C2×#102—1221no—
433C2×#101—611no—
434C2×#100—611no—
435#405—611no—
436#405—611no—
437C2×#97—611no—
438#384C2×D6111yescharacteristic, complemented
439#343—611no—
440#343C2×D6111yescharacteristic, complemented
441#341—611no—
442#341—611no—
443#339—611no—
444#339C2×D6111yescharacteristic, complemented
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×Q8—611no—
455C22×D4—611no—
456C22×D4—1221no—
457C22×D4—1221no—
458C22×D4—2441no—
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—1222no—
468#131—1222no—
469#131—2441no—
470#131—2441no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—1221no—
474C2×M16—1221no—
475C2×M16C22×D6111yescharacteristic
476C2×M16C22×D6111yescharacteristic
477C22×C8—611no—
478C22×C8—611no—
479C22×C8—1221no—
480C22×C8—1221no—
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—41no—
500C2×C4⋊C4—1221no—
501C2×C4⋊C4C22×D6111yescharacteristic
502C2×C4⋊C4C22×D6111yescharacteristic
503C2×C22⋊C4—2441no—
504C2×C42C22×D6111yescharacteristic
505#107—21no—
506#107—1221no—
507#106—21no—
508#106—1221no—
509#104—614no—
510#104C4×D6114yescomplemented
511#103—21no—
512#103—611no—
513#103—611no—
514#103—611no—
515#103—611no—
516#103—1221no—
517#103—1221no—
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—2441no—
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#1175822612yes—
556C2×Q8—612no—
557C2×Q8—611no—
558C2×Q8—1221no—
559C2×Q8—1221no—
560C2×Q8—1221no—
561C2×Q8—1221no—
562C2×Q8—1221no—
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—21no—
586C22×C4—41no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592Q16—1224no—
593Q16—1224no—
594SD16—1224no—
595SD16—1224no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—612no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—2442no—
604M16—2442no—
605M16C2×C4×D6112yes—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—611no—
609C2×C8—611no—
610C2×C8—611no—
611C2×C8—611no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1221no—
617C2×C8—1221no—
618C2×C8—2442no—
619C2×C8—2442no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—21no—
624C4⋊C4—41no—
625C4⋊C4—82no—
626C4⋊C4—611no—
627C4⋊C4—611no—
628C4⋊C4—2441no—
629C4⋊C4—2441no—
630C4⋊C4—2441no—
631C4⋊C4D4×D6111yescharacteristic
632C4⋊C4D4×D6111yescharacteristic
633C22⋊C4—21no—
634C22⋊C4—41no—
635C22⋊C4—1221no—
636C22⋊C4—2444no—
637C22⋊C4—2441no—
638C42—21no—
639C42—21no—
640C42—41no—
641C42—1221no—
642C42—2441no—
643C42—2441no—
644C42—2441no—
645C42C2×C4×D6112yes—
646C23—21no—
647C23—1221no—
648C23—1222no—
649C23—9761no—
650C23—9761no—
651C23—4881no—
652C23—4881no—
653C23—2444no—
654C23—2441no—
655C23—2441no—
656C23#1451982211yescharacteristic
657Q8—21no—
658Q8—612no—
659Q8—1221no—
660Q8—1222no—
661Q8—1222no—
662Q8—2441no—
663Q8—2441no—
664Q8#1451973912yes—
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#1451973912yes—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—161no—
692C2×C4—1221no—
693C2×C4—1222no—
694C2×C4—1222no—
695C2×C4—1222no—
696C2×C4—1221no—
697C2×C4—1221no—
698C2×C4—9761no—
699C2×C4—2444no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4C22×C4×D6111yescharacteristic
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4#41×D6111yescharacteristic
706C2×C4C2×#1175822611yescharacteristic
707C2×C4#1451982311yescharacteristic
708C8—22no—
709C8—41no—
710C8—1222no—
711C8—1221no—
712C8—1221no—
713C8—1221no—
714C8—1221no—
715C8—2441no—
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#1684039411yescharacteristic
732C22#1684043911yescharacteristic
733C4—22no—
734C4—42no—
735C4—41no—
736C4—41no—
737C4—81no—
738C4—81no—
739C4—1222no—
740C4—2442no—
741C4—2441no—
742C4—2441no—
743C4C4×D4×D6111yescharacteristic
744C4C2×#1451973911yescharacteristic
745C4#1684040311yescharacteristic
746C4#1684040411yescharacteristic
747C2—21no—
748C2—21no—
749C2—42no—
750C2—4882no—
751C2—2442no—
752C2#2144879511yescharacteristic
753C2#2145758011yescharacteristic
754C2#2145758911yescharacteristic
subgroupG/H
centerC22#16840394
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1859C2
socleC22×C61D42
prime radicalC2×#14519823C22
cosocleC22×C4×C61C24
hypercenter#1859D61
hypocenterC61#22890
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1859

Complements

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

NH ≅ G/Ntype
2. #21454660C2semidirect
3. #21454658C2semidirect
6. #21446633C2semidirect
7. #21446480C2semidirect
8. #21446479C2semidirect
9. #21446335C2semidirect
10. #21446332C2semidirect
11. #21446221C2semidirect
12. #21446044C2semidirect
13. #21445664C2semidirect
14. #21445660C2semidirect
15. C61×#1859C2semidirect
23. #16840239C22semidirect
24. #16839941C4semidirect
33. #16839802C22semidirect
46. C2×#14519700C22semidirect
47. C2×#14519700C22semidirect
52. C2×#14519695C22semidirect
54. #16839720C22semidirect
55. #16839718C22semidirect
56. C2×#14519688C22semidirect
57. #16839531C22semidirect
58. #16839526C22semidirect
59. #16839526C22semidirect
60. #16839522C22semidirect
62. C61×#428C22semidirect
65. C61×#384C22semidirect
66. C61×#343C22semidirect
67. C61×#339C22semidirect
81. #14519810C2×C4semidirect
83. #14519807C2×C4semidirect
101. #14519765C2×C4semidirect
116. #14519705C2×C4semidirect
140. #14519693C2×C4semidirect
161. #104×C61C2×C4semidirect
382. #1859D61semidirect
412. #428C2×D61semidirect
438. #384C2×D61semidirect
440. #343C2×D61semidirect
444. #339C2×D61semidirect
445. C61#22890semidirect
510. #104C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399412
#214546602
#214546582
#214543432
#214543422
#214466332
#214464802
#214464792
#214463352
#214463322
#214462212
#214460442
#214456642
#214456602
C61×#18592
#2289061