Finite Group Databasebeta

← #29700804

Subgroups — #29700804

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#21454662C211yesmaximal, characteristic, complemented
3#21454342C211yesmaximal, characteristic
4#21454341C211yesmaximal, characteristic
5#21446632C211yesmaximal, characteristic, complemented
6#21446481C211yesmaximal, characteristic, complemented
7#21446480C211yesmaximal, characteristic, complemented
8#21446337C211yesmaximal, characteristic, complemented
9#21446336C211yesmaximal, characteristic, complemented
10#21446222C211yesmaximal, characteristic, complemented
11#21446045C211yesmaximal, characteristic, complemented
12#21446042C211yesmaximal, characteristic, complemented
13#21445666C211yesmaximal, characteristic, complemented
14#21445665C211yesmaximal, characteristic, complemented
15C61×#2947C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17C2×#14519808C2211yescharacteristic
18C2×#14519784C2211yescharacteristic
19C2×#14519783C2211yescharacteristic
20C2×#14519766C2211yescharacteristic
21#16840242C2211yescharacteristic
22#16839938C418yescomplemented
23#16839867—21no—
24#16839860—21no—
25C4×#11758202—21no—
26C4×#11758201—21no—
27#16839805C2211yescharacteristic, complemented
28C2×#14519704C2211yescharacteristic
29C2×#14519703C2211yescharacteristic
30#16839766—21no—
31#16839766C2211yescharacteristic
32#16839766C2211yescharacteristic
33#16839765—21no—
34#16839763C2211yescharacteristic
35#16839762—21no—
36#16839761—21no—
37#16839761C2211yescharacteristic
38#16839757—21no—
39#16839756—21no—
40#16839756C2211yescharacteristic
41C2×#14519701C2211yescharacteristic, complemented
42C2×#14519699C2211yescharacteristic
43C2×#14519697—21no—
44C2×#14519697C2211yescharacteristic
45#102×D61—21no—
46C2×#14519696C2211yescharacteristic, complemented
47C2×#14519693C2211yescharacteristic
48#16839718C2211yescharacteristic, complemented
49C2×#14519687C2211yescharacteristic, complemented
50#16839631C2211yescharacteristic, complemented
51#16839531C2211yescharacteristic, complemented
52#16839530C2211yescharacteristic, complemented
53#16839527C2211yescharacteristic, complemented
54#16839526C2211yescharacteristic, complemented
55#16839521C2211yescharacteristic, complemented
56#16839521C2211yescharacteristic, complemented
57C2×#137×C61C2211yescharacteristic
58C61×#520C2211yescharacteristic
59C61×#519C2211yescharacteristic, complemented
60C61×#441—21no—
61C61×#440—21no—
62C4×Q16×C61—21no—
63C4×SD16×C61—21no—
64C61×#428C2211yescharacteristic, complemented
65C61×#416C2211yescharacteristic
66C2×#103×C61C2211yescharacteristic, complemented
67C61×#405C2211yescharacteristic, 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#14519784—22no—
84#14519784—41no—
85#14519783—22no—
86#14519783—41no—
87C2×#11758194—21no—
88C2×#11758194C2311yescharacteristic
89C2×#11758194C2311yescharacteristic
90C2×#11758194C2311yescharacteristic
91C2×#11758189—21no—
92C22×#92418—21no—
93C22×#92418C2311yescharacteristic
94C2×C8×D61—21no—
95#14519766—41no—
96#14519766C2×C414yescomplemented
97C4×Dic122—21no—
98C4×D244—21no—
99#14519737—41no—
100#14519735—21no—
101C2×C4⋊Dic61C2311yescharacteristic
102C2×#11758196—41no—
103C4⋊C4×D61—21no—
104C2×#11758198—41no—
105C2×C4×Dic61C2311yescharacteristic
106#14519710—21no—
107#14519708—21no—
108#14519704C2×C414yescomplemented
109#14519703C2×C414yescomplemented
110#14519701—21no—
111#14519701—21no—
112#14519701—21no—
113#14519700—21no—
114#14519700D411yescharacteristic
115#14519700D411yescharacteristic
116#14519699—21no—
117#14519699—21no—
118#14519698—21no—
119#14519697—21no—
120#14519697—21no—
121#14519697—21no—
122#14519697—21no—
123#14519697—21no—
124#14519697—21no—
125#14519697—21no—
126#14519697D411yescharacteristic
127#14519697D411yescharacteristic
128#14519696—41no—
129#14519693C2×C414yescomplemented
130#14519688—21no—
131#14519687—41no—
132C4×#92418—21no—
133C2×#41×C61C2311yescharacteristic
134C22×Q8×C61C2311yescharacteristic
135#137×C61—22no—
136#137×C61C2×C414yescomplemented
137C2×Q16×C61—21no—
138C2×SD16×C61—21no—
139C2×M16×C61C2311yescharacteristic
140C22×C8×C61C2311yescharacteristic
141C4×Q8×C61—21no—
142C4×Q8×C61—21no—
143C4×Q8×C61—21no—
144C4×Q8×C61—21no—
145C4×Q8×C61—21no—
146C4×D4×C61—21no—
147C4×D4×C61—41no—
148#117×C61—21no—
149#117×C61—41no—
150#117×C61C2311yescharacteristic
151#117×C61C2311yescharacteristic
152C2×C4⋊C4×C61—21no—
153C2×C4⋊C4×C61C2311yescharacteristic
154#107×C61—21no—
155#106×C61—21no—
156#103×C61—21no—
157#103×C61—21no—
158#103×C61D411yescharacteristic
159#103×C61D411yescharacteristic
160#102×C61D411yescharacteristic
161#102×C61D411yescharacteristic
162#97×C61—21no—
163C4×C8×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×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×C61—41no—
183C22×C4×C61C2411yescharacteristic
184C2×C22⋊D61—21no—
185C2×C22⋊D61—41no—
186C22×Dic61—21no—
187C22×Dic61—21no—
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×C61C22×C412yes—
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—41no—
226C4⋊C4×C61—41no—
227C4⋊C4×C61—41no—
228C4⋊C4×C61C2×D411yescharacteristic
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C22⋊C4×C61—21no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—41no—
235C42×C61—21no—
236C42×C61—21no—
237C42×C61—41no—
238C42×C61—41no—
239C42×C61—41no—
240#11758202—24no—
241#11758201—24no—
242#11758198—44no—
243#11758198—41no—
244C4⋊Dic61—21no—
245C4⋊Dic61—21no—
246#11758196—41no—
247#11758196—82no—
248C4×Dic61—21no—
249C4×Dic61—41no—
250C4×Dic61C22×C412yes—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255#11758194—21no—
256#11758194—42no—
257#11758194C22×C412yes—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—42no—
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—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—41no—
298C2×C4×C61—41no—
299C2×C4×C61—41no—
300C2×C4×C61—81no—
301C2×C4×C61—161no—
302C2×C4×C61C23×C411yescharacteristic
303C2×C4×C61C22×D411yescharacteristic
304C2×C4×C61C22×D411yescharacteristic
305C2×C4×C61C2×#4111yescharacteristic
306C2×C4×C61C2×#4111yescharacteristic
307C2×C4×C61H(5,𝔽2)11yescharacteristic
308C22⋊D61—22no—
309C22⋊D61—22no—
310C22⋊D61—44no—
311C2×Dic61—21no—
312C2×Dic61—22no—
313C2×Dic61—41no—
314C2×Dic61—41no—
315C2×Dic61—41no—
316C2×Dic61—81no—
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—
333#92418—22no—
334#92418—21no—
335#92418—21no—
336#92418—41no—
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—41no—
361C4×C61—41no—
362C4×C61—81no—
363C4×C61C2×C4×D411yescharacteristic
364C4×C61C2×C4×D411yescharacteristic
365C4×C61#54611yescharacteristic
366C4×C61#54611yescharacteristic
367Dic61—22no—
368Dic61—42no—
369Dic61—81no—
370C2×#455—611no—
371#2947—611no—
372#2947D6111yescharacteristic, complemented
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#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×#131—611no—
398C2×#124—611no—
399#520—611no—
400#520C2×D6111yescharacteristic
401#519C2×D6111yescharacteristic, complemented
402#455—618no—
403#441—21no—
404#441—1221no—
405#440—21no—
406#440—1221no—
407C4×Q16—21no—
408C4×Q16—1221no—
409C4×SD16—21no—
410C4×SD16—1221no—
411#428—611no—
412#428C2×D6111yescharacteristic, complemented
413C2×#104—611no—
414C2×#104—611no—
415#418—611no—
416#418—611no—
417#418—1221no—
418#418—1221no—
419#417—611no—
420#417—611no—
421#417—1221no—
422#417—1221no—
423#416—611no—
424#416—1221no—
425#416—1221no—
426#416C2×D6111yescharacteristic
427C2×#103—611no—
428C2×#103C2×D6111yescharacteristic, complemented
429C2×#102—611no—
430C2×#102—611no—
431C2×#102—1221no—
432C2×#102—1221no—
433C2×#101—611no—
434C2×#100—611no—
435#405—611no—
436#405C2×D6111yescharacteristic, complemented
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)—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—1222no—
468#131—1222no—
469#131—2441no—
470#131—2441no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—1221no—
475C2×M16—1221no—
476C2×M16C22×D6111yescharacteristic
477C22×C8—611no—
478C22×C8—1221no—
479C22×C8—1221no—
480C22×C8C22×D6111yescharacteristic
481#124—614no—
482#124—2441no—
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—21no—
486C4×Q8—21no—
487C4×Q8—21no—
488C4×Q8—1221no—
489C4×D4—21no—
490C4×D4—41no—
491C4×D4—1221no—
492C4×D4—2441no—
493#117—21no—
494#117—41no—
495#117—1221no—
496#117C22×D6111yescharacteristic
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—21no—
506#107—1221no—
507#106—21no—
508#106—1221no—
509#104—614no—
510#104—614no—
511#103—21no—
512#103—21no—
513#103—611no—
514#103—611no—
515#103—1221no—
516#103—1221no—
517#103—1221no—
518#103—1221no—
519#103C22⋊D6111yescharacteristic
520#103C22⋊D6111yescharacteristic
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#102—1221no—
533#102C22⋊D6111yescharacteristic
534#102C22⋊D6111yescharacteristic
535#101—2441no—
536#100—614no—
537#97—21no—
538#97—1221no—
539#97—2441no—
540C4×C8—21no—
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#1175822212yes—
556C2×Q8—21no—
557C2×Q8—21no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—611no—
562C2×Q8C2×C4×D6112yes—
563C2×Q8C2×C22⋊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×D4C2×C22⋊D6111yescharacteristic
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—41no—
586C22×C4—1221no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—2441no—
590C22×C4—2441no—
591C22×C4C23×D6111yescharacteristic
592Q16—24no—
593Q16—1224no—
594SD16—24no—
595SD16—1224no—
596M16—21no—
597M16—612no—
598M16—1221no—
599M16—1221no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—2442no—
604M16—2442no—
605M16C2×C4×D6112yes—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—611no—
610C2×C8—611no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—2442no—
617C2×C8—2442no—
618C2×C8C2×C22⋊D6111yescharacteristic
619C2×C8C2×C22⋊D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—41no—
623C4⋊C4—41no—
624C4⋊C4—41no—
625C4⋊C4—1221no—
626C4⋊C4—1221no—
627C4⋊C4—4882no—
628C4⋊C4—2441no—
629C4⋊C4D4×D6111yescharacteristic
630C4⋊C4D4×D6111yescharacteristic
631C4⋊C4C2×C22⋊D6111yescharacteristic
632C4⋊C4C2×C22⋊D6111yescharacteristic
633C22⋊C4—21no—
634C22⋊C4—21no—
635C22⋊C4—41no—
636C22⋊C4—2444no—
637C22⋊C4—2441no—
638C42—21no—
639C42—21no—
640C42—41no—
641C42—41no—
642C42—41no—
643C42—612no—
644C42—1221no—
645C42—2441no—
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—22no—
659Q8—22no—
660Q8—41no—
661Q8—41no—
662Q8—612no—
663Q8—1221no—
664Q8C4×C22⋊D6112yes—
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—
678D4C4×C22⋊D6112yes—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—81no—
691C2×C4—161no—
692C2×C4—1221no—
693C2×C4—1222no—
694C2×C4—1222no—
695C2×C4—1222no—
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×C4C22×C22⋊D6111yescharacteristic
705C2×C4#41×D6111yescharacteristic
706C2×C4C2×#1175822211yescharacteristic
707C2×C4#1451982311yescharacteristic
708C8—22no—
709C8—21no—
710C8—21no—
711C8—1222no—
712C8—1221no—
713C8—1221no—
714C8—2441no—
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
731C22D4×C22⋊D6111yescharacteristic
732C22#1684044111yescharacteristic
733C4—22no—
734C4—42no—
735C4—41no—
736C4—41no—
737C4—41no—
738C4—41no—
739C4—81no—
740C4—1222no—
741C4—4881no—
742C4—2442no—
743C4C4×D4×D6111yescharacteristic
744C4C2×C4×C22⋊D6111yescharacteristic
745C4#1684040011yescharacteristic
746C4#1684040811yescharacteristic
747C2—21no—
748C2—21no—
749C2—42no—
750C2—4882no—
751C2—2442no—
752C2#2144879611yescharacteristic
753C2#2145758111yescharacteristic
754C2#2145759011yescharacteristic
subgroupG/H
centerC22D4×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2947C2
socleC22×C61D42
prime radicalC2×#14519823C22
cosocleC22×C4×C61C24
hypercenter#2947D61
hypocenterC61#22890
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2947

Complements

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

NH ≅ G/Ntype
2. #21454662C2semidirect
5. #21446632C2semidirect
6. #21446481C2semidirect
7. #21446480C2semidirect
8. #21446337C2semidirect
9. #21446336C2semidirect
10. #21446222C2semidirect
11. #21446045C2semidirect
12. #21446042C2semidirect
13. #21445666C2semidirect
14. #21445665C2semidirect
15. C61×#2947C2semidirect
22. #16839938C4semidirect
27. #16839805C22semidirect
41. C2×#14519701C22semidirect
46. C2×#14519696C22semidirect
48. #16839718C22semidirect
49. C2×#14519687C22semidirect
50. #16839631C22semidirect
51. #16839531C22semidirect
52. #16839530C22semidirect
53. #16839527C22semidirect
54. #16839526C22semidirect
55. #16839521C22semidirect
56. #16839521C22semidirect
59. C61×#519C22semidirect
64. C61×#428C22semidirect
66. C2×#103×C61C22semidirect
67. C61×#405C22semidirect
80. #14519808C2×C4semidirect
96. #14519766C2×C4semidirect
108. #14519704C2×C4semidirect
109. #14519703C2×C4semidirect
129. #14519693C2×C4semidirect
136. #137×C61C2×C4semidirect
372. #2947D61semidirect
401. #519C2×D61semidirect
412. #428C2×D61semidirect
428. C2×#103C2×D61semidirect
436. #405C2×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
#214546622
#214543422
#214543412
#214466322
#214464812
#214464802
#214463372
#214463362
#214462222
#214460452
#214460422
#214456662
#214456652
C61×#29472
#2289061