Finite Group Databasebeta

← #29724227

Subgroups — #29724227

Order 15616.

904 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455797C211yesmaximal, characteristic, complemented
2#21455119C211yesmaximal, characteristic
3#21454342C211yesmaximal, characteristic, complemented
4#21447344C211yesmaximal, characteristic, complemented
5#21447260C211yesmaximal, characteristic, complemented
6#21447109C211yesmaximal, characteristic, complemented
7#21447041C211yesmaximal, characteristic, complemented
8#21446481C211yesmaximal, characteristic, complemented
9#21446467C211yesmaximal, characteristic, complemented
10#21446195C211yesmaximal, characteristic, complemented
11#21446148C211yesmaximal, characteristic, complemented
12#21446045C211yesmaximal, characteristic, complemented
13#21445881C211yesmaximal, characteristic, complemented
14#21445771C211yesmaximal, characteristic, complemented
15C61×#2951C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17C2×#14519802C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19#16840340C2211yescharacteristic
20#16840103—21no—
21#16840097—21no—
22#16840086—21no—
23#16840075—21no—
24#16839923—21no—
25#16839911—21no—
26#16839906—21no—
27#16839894—21no—
28C2×#14519712C2211yescharacteristic, complemented
29#16839805C2211yescharacteristic, complemented
30C2×#14519710C2211yescharacteristic, complemented
31C2×#14519704C2211yescharacteristic
32C2×#14519704C2211yescharacteristic, complemented
33C2×#14519703C2211yescharacteristic
34#16839766—21no—
35#16839766C2211yescharacteristic
36#16839763C2211yescharacteristic
37#16839761—21no—
38#16839761C2211yescharacteristic
39#16839761C2211yescharacteristic
40#16839756—21no—
41#16839756C2211yescharacteristic
42C2×#14519699C2211yescharacteristic
43C2×#14519697—21no—
44C2×#14519697C2211yescharacteristic
45C2×#14519693C2211yescharacteristic
46#16839729C2211yescharacteristic, complemented
47#16839728C2211yescharacteristic
48#16839663C2211yescharacteristic
49#16839631C2211yescharacteristic, complemented
50#16839531C2211yescharacteristic, complemented
51#16839531C2211yescharacteristic, complemented
52#16839530C2211yescharacteristic, complemented
53#16839527C2211yescharacteristic, complemented
54#16839521C2211yescharacteristic, complemented
55#16839516C2211yescharacteristic, complemented
56C2×#135×C61C2211yescharacteristic
57C61×#520C2211yescharacteristic
58C61×#520C2211yescharacteristic, complemented
59C61×#440—21no—
60C61×#440—21no—
61C4×Q16×C61—21no—
62C4×D8×C61—21no—
63C2×#107×C61C2211yescharacteristic, complemented
64C61×#417C2211yescharacteristic
65C61×#417C2211yescharacteristic, complemented
66C61×#405C2211yescharacteristic, complemented
67#14519823—22no—
68#14519823—22no—
69#14519823—22no—
70#14519823—41no—
71C2×#11758226—21no—
72C2×#11758222—21no—
73C2×#11758222C2311yescharacteristic
74C22×D244—21no—
75C22×D244C2311yescharacteristic
76C2×D4×D61—21no—
77C2×D4×D61—41no—
78#14519802—22no—
79#14519802—41no—
80C2×#11758201—21no—
81C2×#11758199—21no—
82#14519784—22no—
83#14519784—41no—
84C2×#11758194—21no—
85C2×#11758194C2311yescharacteristic
86C2×#11758194C2311yescharacteristic
87C2×#11758194C2311yescharacteristic
88C22×#92418—21no—
89C22×#92418C2311yescharacteristic
90#14519756—21no—
91#14519753—21no—
92#14519751—21no—
93#14519749—41no—
94#14519748—21no—
95C2×C4⋊Dic61C2311yescharacteristic
96C2×#11758196—41no—
97C2×#11758198—41no—
98C2×C4×Dic61C2311yescharacteristic
99#14519712—41no—
100#14519710—21no—
101#14519710—21no—
102#14519710—21no—
103#14519708—21no—
104#14519704—22no—
105#14519704—41no—
106#14519703—41no—
107#14519701—21no—
108#14519700—21no—
109#14519700—21no—
110#14519700D411yescharacteristic
111#14519700D411yescharacteristic
112#14519699—21no—
113#14519699—21no—
114#14519698—21no—
115#14519697—21no—
116#14519697—21no—
117#14519697—21no—
118#14519697—21no—
119#14519697—21no—
120#14519697—21no—
121#14519697D411yescharacteristic
122#14519697D411yescharacteristic
123#14519693—22no—
124C22⋊#92418—21no—
125C22⋊#92418—21no—
126#14519689—21no—
127#14519689—21no—
128C2×#41×C61C2311yescharacteristic
129C2×#41×C61C2311yescharacteristic
130#135×C61—22no—
131#135×C61—22no—
132C2×Q16×C61D411yescharacteristic
133C2×SD16×C61D411yescharacteristic
134C2×SD16×C61D411yescharacteristic
135C2×D8×C61D411yescharacteristic
136C2×M16×C61C2311yescharacteristic
137C22×C8×C61C2311yescharacteristic
138C4×Q8×C61—21no—
139C4×Q8×C61—21no—
140C4×D4×C61—21no—
141C4×D4×C61—21no—
142C4×D4×C61—41no—
143C4×D4×C61—41no—
144#117×C61—21no—
145#117×C61—21no—
146#117×C61C2311yescharacteristic
147C2×C4⋊C4×C61—21no—
148C2×C4⋊C4×C61—21no—
149C2×C4⋊C4×C61C2311yescharacteristic
150C2×C4⋊C4×C61C2311yescharacteristic
151#107×C61—21no—
152#107×C61—21no—
153#103×C61—21no—
154#103×C61—21no—
155#102×C61—21no—
156#102×C61—21no—
157#97×C61—21no—
158C4×C8×C61—21no—
159C23×D61—21no—
160C23×D61—41no—
161#41×C61—21no—
162#41×C61—21no—
163#41×C61—21no—
164#41×C61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61#4112yes—
168#41×C61#4112yes—
169C2×Q8×C61C2×D411yescharacteristic
170C2×Q8×C61C2×D411yescharacteristic
171C2×D4×C61—21no—
172C2×D4×C61—21no—
173C2×D4×C61C2×D411yescharacteristic
174C2×D4×C61C2×D411yescharacteristic
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—21no—
179C22×C4×C61—41no—
180C22×C4×C61—41no—
181C22×C4×C61C2411yescharacteristic
182C2×C22⋊D61—21no—
183C2×C22⋊D61—41no—
184C2×C22⋊D61—41no—
185C22×Dic61—21no—
186C22×Dic61—21no—
187#11758226—42no—
188#11758226—42no—
189D4×D61—42no—
190D4×D61—44no—
191D4×D61—44no—
192D4×D61—42no—
193#11758222—24no—
194#11758222—21no—
195#11758222—21no—
196#11758222—21no—
197#11758222—21no—
198#11758222—42no—
199C2×D244—24no—
200C2×D244—21no—
201C2×D244—21no—
202C2×D244—21no—
203C2×D244—21no—
204C2×D244—21no—
205C2×D244—42no—
206C2×D244—41no—
207C2×D244C2×D411yescharacteristic
208C2×D244#4112yes—
209C2×C4×D61—21no—
210C2×C4×D61—41no—
211C2×Dic122C2×D411yescharacteristic
212Q16×C61—22no—
213SD16×C61—22no—
214SD16×C61—22no—
215D8×C61—22no—
216M16×C61—21no—
217M16×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61C2×D411yescharacteristic
222C2×C8×C61C2×D411yescharacteristic
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—41no—
228C4⋊C4×C61—41no—
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C22⋊C4×C61—21no—
232C22⋊C4×C61—41no—
233C22⋊C4×C61—41no—
234C42×C61—21no—
235C42×C61—41no—
236C42×C61—41no—
237C22⋊Dic61—41no—
238#11758201—42no—
239#11758199—42no—
240#11758198—41no—
241#11758198—82no—
242C4⋊Dic61—21no—
243C4⋊Dic61—21no—
244#11758196—41no—
245#11758196—82no—
246C4×Dic61—21no—
247C4×Dic61—21no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194—42no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—42no—
261C2×#92418C2×D411yescharacteristic
262C2×#92418C2×D411yescharacteristic
263C23×C61—21no—
264C23×C61—21no—
265C23×C61H(5,𝔽2)11yescharacteristic
266C22×D61—21no—
267C22×D61—22no—
268C22×D61—41no—
269C22×D61—44no—
270C22×D61—41no—
271C22×D61—81no—
272C22×D61—81no—
273C22×D61—161no—
274C22×D61—161no—
275Q8×C61—21no—
276Q8×C61—21no—
277Q8×C61—21no—
278Q8×C61#12312yes—
279D4×C61—22no—
280D4×C61—22no—
281D4×C61—21no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—41no—
285D4×C61—41no—
286D4×C61#12312yes—
287C2×C4×C61—21no—
288C2×C4×C61—22no—
289C2×C4×C61—22no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—41no—
297C2×C4×C61—81no—
298C2×C4×C61—81no—
299C2×C4×C61—161no—
300C2×C4×C61—161no—
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C22×D411yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C2×C4×C61C2×#4111yescharacteristic
306C2×C4×C61H(5,𝔽2)11yescharacteristic
307C22⋊D61—44no—
308C22⋊D61—41no—
309C22⋊D61—41no—
310C22⋊D61—161no—
311C2×Dic61—22no—
312C2×Dic61—21no—
313C2×Dic61—41no—
314C2×Dic61—41no—
315C2×Dic61—41no—
316C2×Dic61—81no—
317D244—21no—
318D244—22no—
319D244—22no—
320D244—21no—
321D244—44no—
322D244—41no—
323D244—41no—
324C4×D61—44no—
325C4×D61—41no—
326C4×D61—41no—
327Dic122—21no—
328Dic122—21no—
329C8×C61—21no—
330C8×C61—21no—
331C8×C61—41no—
332#92418—21no—
333#92418—21no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#24925—611nomaximal, Sylow
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—22no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61#53811yescharacteristic
347C22×C61D4211yescharacteristic
348C22×C61#55111yescharacteristic
349C2×D61—41no—
350C2×D61—42no—
351C2×D61—41no—
352C2×D61—41no—
353C2×D61—81no—
354C2×D61—81no—
355C2×D61—82no—
356C2×D61—161no—
357C2×D61—164no—
358C4×C61—22no—
359C4×C61—41no—
360C4×C61—41no—
361C4×C61—41no—
362C4×C61—81no—
363C4×C61—81no—
364C4×C61C2×#12311yescharacteristic
365C4×C61#52511yescharacteristic
366C4×C61#54611yescharacteristic
367C4×C61#54611yescharacteristic
368Dic61—42no—
369Dic61—41no—
370Dic61—81no—
371#3098—611no—
372#3012—611no—
373#2951D6111yescharacteristic, complemented
374#2897—611no—
375#2093—611no—
376#2078—611no—
377#2051—611no—
378#2039—611no—
379#1931—611no—
380#1929—611no—
381#1883—611no—
382#1876—611no—
383#1859—611no—
384#1816—611no—
385#1792—611no—
386C2×C61—21no—
387C2×C61—21no—
388C2×C61—42no—
389C2×C61—81no—
390C2×C61#241811yescharacteristic
391C2×C61#328911yescharacteristic
392C2×C61#329211yescharacteristic
393D61—81no—
394D61—82no—
395C2×H(5,𝔽2)—611no—
396C2×AGL(1,ℤ/8)—611no—
397C2×#135C2×D6111yescharacteristic
398C2×#131—611no—
399#537—611no—
400#520C2×D6111yescharacteristic
401#520C2×D6111yescharacteristic, complemented
402#485—1221no—
403#484—1221no—
404#482—1221no—
405#480—1221no—
406#452—1221no—
407#450—1221no—
408#449—1221no—
409#447—1221no—
410#440—21no—
411#440—21no—
412C4×Q16—21no—
413C4×D8—21no—
414C2×#108—611no—
415#428—611no—
416C2×#107—611no—
417C2×#107C2×D6111yescharacteristic, complemented
418C2×#104—611no—
419C2×#104—611no—
420C2×#104—611no—
421#418—611no—
422#418—1221no—
423#417—611no—
424#417—611no—
425#417—611no—
426#417—1221no—
427#417C2×D6111yescharacteristic
428#417C2×D6111yescharacteristic, complemented
429#416—611no—
430#416—1221no—
431C2×#102—611no—
432C2×#102—611no—
433C2×#102—1221no—
434C2×#100—611no—
435#408—611no—
436#408—611no—
437#405C2×D6111yescharacteristic, complemented
438#390—611no—
439#384—611no—
440#343—611no—
441#343—611no—
442#343—611no—
443#341—611no—
444#339—611no—
445#336—611no—
446C61#2492511yescharacteristic, complemented, Sylow
447H(5,𝔽2)—1222no—
448H(5,𝔽2)—1222no—
449H(5,𝔽2)—1222no—
450H(5,𝔽2)—2441no—
451C2×#41—611no—
452C2×#41—1221no—
453C2×#41—1221no—
454C2×#41C22×D6111yescharacteristic
455C2×#41C22×D6111yescharacteristic
456C22×D4—611no—
457C22×D4—1221no—
458C22×D4—1221no—
459C22×D4—2441no—
460AGL(1,ℤ/8)—1222no—
461AGL(1,ℤ/8)—2441no—
462#135—22no—
463#135—22no—
464C2×Q16C22⋊D6111yescharacteristic
465C2×SD16—1221no—
466C2×SD16C22⋊D6111yescharacteristic
467C2×SD16C22⋊D6111yescharacteristic
468C2×D8—1221no—
469C2×D8C22⋊D6111yescharacteristic
470#131—1222no—
471#131—2441no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—611no—
475C2×M16—1221no—
476C2×M16C22×D6111yescharacteristic
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8C22×D6111yescharacteristic
480C22⋊Q8—1221no—
481C22⋊Q8—1221no—
482#121—1221no—
483#121—1221no—
484#121—2441no—
485C4×Q8—21no—
486C4×Q8—21no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—41no—
490C4×D4—41no—
491#117—21no—
492#117—21no—
493#117C22×D6111yescharacteristic
494C2×C4⋊C4—21no—
495C2×C4⋊C4—21no—
496C2×C4⋊C4—611no—
497C2×C4⋊C4—2441no—
498C2×C4⋊C4C22×D6111yescharacteristic
499C2×C4⋊C4C22×D6111yescharacteristic
500C2×C22⋊C4—2441no—
501C2×C42—611no—
502#108—2441no—
503#107—21no—
504#107—21no—
505#107—1221no—
506#107—1221no—
507#107—1221no—
508#106—1221no—
509#104—1222no—
510#104—2441no—
511#104—2441no—
512#103—21no—
513#103—21no—
514#103—611no—
515#103—611no—
516#103—1221no—
517#103—1221no—
518#103—1221no—
519#102—21no—
520#102—21no—
521#102—611no—
522#102—611no—
523#102—1221no—
524#102—1221no—
525#102—1221no—
526#102—1221no—
527#102—1221no—
528#102—1221no—
529#102—1221no—
530#102—1221no—
531#102—1221no—
532#100—1222no—
533C22⋊C8—1221no—
534C22⋊C8—1221no—
535C22⋊C8—1221no—
536C22⋊C8—1221no—
537#97—21no—
538C4×C8—21no—
539C24—1221no—
540C24—2441no—
541#41—21no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—1224no—
548#41—1221no—
549#41—1221no—
550#41—1221no—
551#41—1221no—
552#41—2442no—
553#41—2442no—
554#41—2442no—
555#41#1175822212yes—
556#41#1175822212yes—
557C2×Q8—611no—
558C2×Q8C2×C22⋊D6111yescharacteristic
559C2×Q8C2×C22⋊D6111yescharacteristic
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—611no—
563C2×D4—612no—
564C2×D4—1224no—
565C2×D4—1221no—
566C2×D4—1221no—
567C2×D4—1221no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4—1221no—
571C2×D4—2442no—
572C2×D4—2441no—
573C2×D4—2441no—
574C2×D4—2442no—
575C2×D4—2444no—
576C2×D4—2444no—
577C2×D4—2441no—
578C2×D4—2442no—
579C2×D4C2×C22⋊D6111yescharacteristic
580C2×D4C2×C22⋊D6111yescharacteristic
581C22×C4—21no—
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—22no—
593SD16—22no—
594SD16—22no—
595SD16—2442no—
596D8—22no—
597D8—2442no—
598M16—21no—
599M16—21no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—1221no—
605M16—1221no—
606M16—2442no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
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—21no—
623C4⋊C4—21no—
624C4⋊C4—41no—
625C4⋊C4—41no—
626C4⋊C4—1221no—
627C4⋊C4—1221no—
628C4⋊C4—4882no—
629C4⋊C4—2441no—
630C4⋊C4D4×D6111yescharacteristic
631C4⋊C4D4×D6111yescharacteristic
632C22⋊C4—21no—
633C22⋊C4—41no—
634C22⋊C4—41no—
635C22⋊C4—4882no—
636C22⋊C4—2441no—
637C22⋊C4—2441no—
638C42—21no—
639C42—41no—
640C42—41no—
641C42—1221no—
642C42—1221no—
643C23—21no—
644C23—21no—
645C23—1222no—
646C23—1221no—
647C23—9761no—
648C23—9761no—
649C23—4881no—
650C23—4881no—
651C23—2444no—
652C23—2441no—
653C23—2441no—
654C23#1451982211yescharacteristic
655Q8—21no—
656Q8—21no—
657Q8—21no—
658Q8—1221no—
659Q8—1221no—
660Q8#1451976012yes—
661D4—22no—
662D4—22no—
663D4—21no—
664D4—21no—
665D4—21no—
666D4—41no—
667D4—41no—
668D4—1221no—
669D4—1222no—
670D4—1222no—
671D4—1221no—
672D4—9761no—
673D4—2444no—
674D4—2444no—
675D4—2441no—
676D4—2441no—
677D4—2441no—
678D4—2441no—
679D4#1451976012yes—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4—161no—
693C2×C4—161no—
694C2×C4—1222no—
695C2×C4—1221no—
696C2×C4—4881no—
697C2×C4—2444no—
698C2×C4—2441no—
699C2×C4—2441no—
700C2×C4—2441no—
701C2×C4—2441no—
702C2×C4—2441no—
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C22×C22⋊D6111yescharacteristic
705C2×C4#41×D6111yescharacteristic
706C2×C4C2×#1175822211yescharacteristic
707C2×C4C2×#1175822211yescharacteristic
708C2×C4#1451982311yescharacteristic
709C8—21no—
710C8—21no—
711C8—41no—
712C8—1221no—
713C8—1221no—
714C8—2441no—
715C8—2441no—
716C8—2441no—
717C22—21no—
718C22—21no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—9761no—
726C22—9764no—
727C22—4882no—
728C22—4881no—
729C22—4881no—
730C22—2441no—
731C22—2442no—
732C22—2441no—
733C22—2441no—
734C22#1684034511yescharacteristic
735C22D4×C22⋊D6111yescharacteristic
736C22#1684044111yescharacteristic
737C4—22no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—81no—
742C4—81no—
743C4—4881no—
744C4—2442no—
745C4—2441no—
746C4C2×#1451976011yescharacteristic
747C4#1684027111yescharacteristic
748C4#1684040011yescharacteristic
749C4#1684040811yescharacteristic
750C2—21no—
751C2—21no—
752C2—42no—
753C2—81no—
754C2—4881no—
755C2—4882no—
756C2#2144927511yescharacteristic
757C2#2145759011yescharacteristic
758C2#2145761611yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2951C2
socleC22×C61D42
prime radical#21455119C2
hypercenter#2951D61
hypocenterC61#24925
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2951

Complements

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

NH ≅ G/Ntype
1. #21455797C2semidirect
3. #21454342C2semidirect
4. #21447344C2semidirect
5. #21447260C2semidirect
6. #21447109C2semidirect
7. #21447041C2semidirect
8. #21446481C2semidirect
9. #21446467C2semidirect
10. #21446195C2semidirect
11. #21446148C2semidirect
12. #21446045C2semidirect
13. #21445881C2semidirect
14. #21445771C2semidirect
15. C61×#2951C2semidirect
28. C2×#14519712C22semidirect
29. #16839805C22semidirect
30. C2×#14519710C22semidirect
32. C2×#14519704C22semidirect
46. #16839729C22semidirect
49. #16839631C22semidirect
50. #16839531C22semidirect
51. #16839531C22semidirect
52. #16839530C22semidirect
53. #16839527C22semidirect
54. #16839521C22semidirect
55. #16839516C22semidirect
58. C61×#520C22semidirect
63. C2×#107×C61C22semidirect
65. C61×#417C22semidirect
66. C61×#405C22semidirect
373. #2951D61semidirect
401. #520C2×D61semidirect
417. C2×#107C2×D61semidirect
428. #417C2×D61semidirect
437. #405C2×D61semidirect
446. C61#24925semidirect

Maximal subgroups

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

subgroupindex
#214557972
#214551192
#214543422
#214473442
#214472602
#214471092
#214470412
#214464812
#214464672
#214461952
#214461482
#214460452
#214458812
#214457712
C61×#29512
#2492561