Finite Group Databasebeta

← #30611298

Subgroups — #30611298

Order 15616.

1366 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462410C211yesmaximal, characteristic, complemented
2#21462322C211yesmaximal, characteristic, complemented
3#21461255C211yesmaximal, characteristic, complemented
4#21461244C212yesmaximal, complemented
5#21461236C211yesmaximal, characteristic, complemented
6#21461225C212yesmaximal, complemented
7#21461215C211yesmaximal, characteristic, complemented
8#21461204C212yesmaximal, complemented
9#21461196C211yesmaximal, characteristic, complemented
10D61⋊#327C212yesmaximal, complemented
11#21459486C211yesmaximal, characteristic
12C2×#14519865—21no—
13C2×D4×#6923—21no—
14#16840736—22no—
15#16840736—21no—
16#16840733C2212yescomplemented
17#16840733C2211yescharacteristic, complemented
18D61⋊(C22⋊C8)C2211yescharacteristic, complemented
19D61⋊(C22⋊C8)C2212yescomplemented
20(C2×#6923)⋊Q8—21no—
21#16840710—22no—
22#16840705C2212yescomplemented
23#16840704C2211yescharacteristic, complemented
24C4×C22⋊#6923C2211yescharacteristic, complemented
25C2×(C2×#6923)⋊C4C2212yescomplemented
26#16840615C2211yescharacteristic, complemented
27#16840615C2211yescharacteristic, complemented
28#16840615C2212yescomplemented
29#16840614C2211yescharacteristic, complemented
30#16840614C2212yescomplemented
31#16840614C2211yescharacteristic, complemented
32#16840613C2212yescomplemented
33#16840613C2212yescomplemented
34#16840613C2212yescomplemented
35#16840613C2212yescomplemented
36C2×#14519822C411yescharacteristic, complemented
37C2×#41×D61C2211yescharacteristic
38#16840432—21no—
39#16840420—21no—
40#16840405—21no—
41#16840399—22no—
42#16840397—21no—
43#16840394—22no—
44#16840341C412yescomplemented
45#16840340C411yescharacteristic, complemented
46#16840328C412yescomplemented
47#16840274C2211yescharacteristic
48#16840272C2212yes—
49C2×#14519748C2211yescharacteristic
50#121×D61C2212yes—
51#16840242C411yescharacteristic, complemented
52C61×#535C411yescharacteristic, complemented
53C23×#6923—22no—
54#14519865—44no—
55C2×#11758213—22no—
56C2×#11758213—21no—
57C2×D61⋊C8—22no—
58C2×D61⋊C8—21no—
59D4×#6923—44no—
60C2×C4⋊#6923—21no—
61C2×C22⋊#6923—22no—
62C2×C22⋊#6923—21no—
63C2×C22⋊#6923—21no—
64C2×C4×#6923—21no—
65#14519834C2311yescharacteristic
66#14519834C2311yescharacteristic
67#14519834C2312yes—
68C22⋊#92420—21no—
69C22⋊#92420—22no—
70C22⋊#92420—21no—
71C22⋊#92420—22no—
72(C2×#6923)⋊C4—22no—
73(C2×#6923)⋊C4—22no—
74(C2×#6923)⋊C4C2312yes—
75(C2×#6923)⋊C4C2311yescharacteristic
76(C2×#6923)⋊C4C2311yescharacteristic
77#14519822—44no—
78C2×#11758226D411yescharacteristic
79C2×#11758222C2×C411yescharacteristic
80C2×#11758222C2×C412yes—
81C2×#11758222C2×C411yescharacteristic, complemented
82C2×#11758224—21no—
83C2×#11758224C2×C412yescomplemented
84C2×#11758224D412yes—
85C2×#11758224D411yescharacteristic
86#41×D61—44no—
87C2×Q8×D61D411yescharacteristic
88C22×C22⋊D61—21no—
89C22×C22⋊D61—22no—
90C2×D4×D61—22no—
91C2×D4×D61—21no—
92C2×D4×D61C2×C412yescomplemented
93C2×D4×D61D411yescharacteristic
94C2×D4×D61D412yes—
95C22×C4×D61C2311yescharacteristic
96C22×C4×D61C2312yes—
97#14519773—22no—
98#14519763—22no—
99#14519761—21no—
100#14519759—22no—
101#14519757C2×C411yescharacteristic, complemented
102#14519757C2311yescharacteristic
103#14519756C2×C412yescomplemented
104#14519754—22no—
105#14519753—21no—
106#14519752C2×C411yescharacteristic, complemented
107#14519752C2311yescharacteristic
108#14519751C2×C412yescomplemented
109#14519750—22no—
110#14519750—22no—
111#14519749—22no—
112#14519749—22no—
113#14519749—22no—
114#14519748—21no—
115#14519748—22no—
116#14519748—21no—
117#14519748—21no—
118#14519748C2×C412yescomplemented
119#14519748C2312yes—
120#14519747—21no—
121#14519747—22no—
122#14519745—22no—
123#14519745—22no—
124C4×Dic122—21no—
125C4×D244—21no—
126C4×D244—21no—
127C4×D244—21no—
128D4×Dic61—22no—
129#14519737—22no—
130#14519737—22no—
131#14519735C2×C412yescomplemented
132C2×C4⋊Dic61C2×C411yescharacteristic, complemented
133C4⋊C4×D61C2×C412yescomplemented
134C2×C22⋊Dic61—21no—
135C22⋊C4×D61—22no—
136C2×#41×C61C2×C411yescharacteristic
137C22×D4×C61C2×C411yescharacteristic, complemented
138#127×C61—21no—
139#124×C61—21no—
140#121×C61C2×C412yescomplemented
141#121×C61C2×C412yescomplemented
142#120×C61—22no—
143#117×C61C2×C411yescharacteristic, complemented
144C24×C61—21no—
145C23×D61—22no—
146C23×D61C2×D412yes—
147C23×D61C2×D411yescharacteristic
148C22×#6923—21no—
149C22×#6923—21no—
150C22×#6923—22no—
151C22×#6923—44no—
152C22×#6923—44no—
153C22×#6923—82no—
154#41×C61—42no—
155C2×Q8×C61C22⋊C411yescharacteristic
156C2×D4×C61—22no—
157C2×D4×C61—22no—
158C2×D4×C61—21no—
159C2×D4×C61—42no—
160C2×D4×C61C22⋊C411yescharacteristic
161C2×D4×C61C22⋊C412yes—
162C2×D4×C61C22×C412yes—
163C22×C4×C61C22×C411yescharacteristic
164C22×C4×C61C22×C412yes—
165C2×C22⋊D61—21no—
166C2×C22⋊D61—22no—
167C2×C22⋊D61—22no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—22no—
171C2×C22⋊D61—48no—
172C2×C22⋊D61—81no—
173C2×C22⋊D61—81no—
174C2×C22⋊D61C22⋊C412yes—
175C2×C22⋊D61C22⋊C412yes—
176C2×C22⋊D61C22⋊C412yes—
177C22×Dic61—21no—
178C22×Dic61—22no—
179C22×Dic61C2×D411yescharacteristic
180C22×Dic61C2×D412yes—
181#11758226—24no—
182Q8×D61—42no—
183#11758224—42no—
184#11758224—44no—
185#11758224—44no—
186#11758224—44no—
187D4×D61—24no—
188D4×D61—44no—
189D4×D61—44no—
190D4×D61—44no—
191D4×D61—82no—
192D4×D61—82no—
193#11758222—24no—
194#11758222—44no—
195#11758222—42no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244C22⋊C412yes—
199C2×D244C22⋊C411yescharacteristic
200C2×D244C22×C411yescharacteristic
201C2×C4×D61—21no—
202C2×C4×D61—22no—
203C2×C4×D61—42no—
204C2×C4×D61—44no—
205C2×C4×D61C22×C412yes—
206C2×C4×D61C22×C411yescharacteristic
207C2×C4×D61C2×D411yescharacteristic
208C2×C4×D61C2×D412yes—
209C2×C4×D61C2×D411yescharacteristic
210C2×C4×D61C2×D412yes—
211C2×C4×D61C2411yescharacteristic
212C2×Dic122C22⋊C411yescharacteristic
213C2×Dic122C22⋊C412yes—
214C2×Dic122C22×C411yescharacteristic
215C22⋊#6923—42no—
216C22⋊#6923—44no—
217C22⋊#6923—81no—
218C2×#92420—21no—
219C2×#92420—21no—
220C2×#92420—22no—
221C4⋊#6923—42no—
222C4×#6923—42no—
223#11758213—44no—
224#11758213—42no—
225D61⋊C8—44no—
226D61⋊C8—42no—
227C4⋊C4×C61C22×C411yescharacteristic
228C4⋊C4×C61C22×C411yescharacteristic
229C22⋊C4×C61—21no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C42×C61—21no—
233C22⋊Dic61—22no—
234C22⋊Dic61—22no—
235C22⋊Dic61—22no—
236#11758198—22no—
237#11758198—21no—
238#11758198—21no—
239#11758198—22no—
240#11758198—21no—
241#11758198—21no—
242C4⋊Dic61—21no—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245C4⋊Dic61C22×C412yes—
246#11758196—22no—
247#11758196—22no—
248C4×Dic61—22no—
249C23×C61—22no—
250C23×C61—42no—
251C23×C61—81no—
252C23×C61—81no—
253C23×C61C2×C22⋊C412yes—
254C23×C61C2×C22⋊C411yescharacteristic
255C22×D61—22no—
256C22×D61—22no—
257C22×D61—24no—
258C22×D61—21no—
259C22×D61—21no—
260C22×D61—21no—
261C22×D61—42no—
262C22×D61—41no—
263C22×D61—41no—
264C22×D61—44no—
265C22×D61—82no—
266C22×D61—82no—
267C22×D61C2×C22⋊C411yescharacteristic
268C22×D61C2×C22⋊C412yes—
269C22×D61C22×D411yescharacteristic
270C2×#6923—22no—
271C2×#6923—41no—
272C2×#6923—41no—
273C2×#6923—41no—
274C2×#6923—42no—
275C2×#6923—41no—
276C2×#6923—42no—
277C2×#6923—42no—
278C2×#6923—41no—
279C2×#6923—88no—
280Q8×C61—22no—
281D4×C61—22no—
282D4×C61—42no—
283D4×C61—42no—
284D4×C61—42no—
285D4×C61—82no—
286D4×C61—82no—
287C2×C4×C61—22no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—42no—
291C2×C4×C61C2×C22⋊C412yes—
292C2×C4×C61C2×C22⋊C411yescharacteristic
293C2×C4×C61C23×C411yescharacteristic
294C22⋊D61—24no—
295C22⋊D61—24no—
296C22⋊D61—42no—
297C22⋊D61—44no—
298C22⋊D61—42no—
299C22⋊D61—42no—
300C22⋊D61—42no—
301C22⋊D61—44no—
302C22⋊D61—82no—
303C22⋊D61—82no—
304C2×Dic61—22no—
305C2×Dic61—21no—
306C2×Dic61—42no—
307C2×Dic61—41no—
308C2×Dic61—44no—
309C2×Dic61—81no—
310C2×Dic61C2×C22⋊C412yes—
311C2×Dic61C2×C22⋊C411yescharacteristic
312C2×Dic61C22×D411yescharacteristic
313D244—24no—
314D244—41no—
315D244—41no—
316D244—41no—
317D244—81no—
318D244#9914yes—
319C4×D61—24no—
320C4×D61—24no—
321C4×D61—22no—
322C4×D61—22no—
323C4×D61—41no—
324C4×D61—41no—
325C4×D61—42no—
326C4×D61—42no—
327C4×D61—82no—
328Dic122—22no—
329Dic122—42no—
330Dic122—41no—
331#92420—41no—
332#92420—42no—
333#92420—41no—
334#17603—611nomaximal, Sylow
335C22×C61—21no—
336C22×C61—22no—
337C22×C61—21no—
338C22×C61—22no—
339C22×C61—22no—
340C22×C61—21no—
341C22×C61—42no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—162no—
345C22×C61C22×C22⋊C411yescharacteristic
346C2×D61—21no—
347C2×D61—22no—
348C2×D61—21no—
349C2×D61—22no—
350C2×D61—21no—
351C2×D61—21no—
352C2×D61—21no—
353C2×D61—44no—
354C2×D61—44no—
355C2×D61—41no—
356C2×D61—41no—
357C2×D61—41no—
358C2×D61—81no—
359C2×D61—81no—
360C2×D61—164no—
361C2×D61C2×#9914yes—
362C2×D61#57611yescharacteristic
363C2×D61#57711yescharacteristic
364#6923—42no—
365#6923—81no—
366#6923—82no—
367C4×C61—21no—
368C4×C61—22no—
369C4×C61—41no—
370C4×C61—41no—
371C4×C61C2×#9912yes—
372Dic61—21no—
373Dic61—22no—
374Dic61—21no—
375Dic61—41no—
376Dic61—42no—
377#3488—611no—
378#2880—611no—
379#2339—611no—
380#1519—611no—
381#1516—612no—
382#1513—611no—
383#1510—612no—
384#1507—611no—
385#1504—612no—
386#1501—611no—
387C2×#327—612no—
388C2×C61—42no—
389C2×C61—41no—
390C2×C61—82no—
391C2×C61C22×#9911yescharacteristic
392C2×C61#289711yescharacteristic
393C2×C61#290111yescharacteristic
394D61—21no—
395D61—21no—
396D61—24no—
397D61—41no—
398D61—81no—
399C2×H(5,𝔽2)—611no—
400C22×#41—611no—
401C2×#131—1221no—
402#550—1221no—
403#548—1221no—
404#546—1222no—
405#546—1221no—
406D42—1222no—
407D42—1221no—
408#537—611no—
409#537—612no—
410#535—612no—
411#535#692311yescharacteristic, complemented
412#525—612no—
413#525—611no—
414C2×#121—611no—
415C2×#121—612no—
416#520—611no—
417C2×C4×D4—1221no—
418#408—1222no—
419#408—1221no—
420#407—612no—
421#407—611no—
422C2×C22⋊C8—612no—
423C2×C22⋊C8—611no—
424#391—1221no—
425#386—1222no—
426#381—612no—
427#380—611no—
428C4×C22⋊C4—611no—
429C2×#95—612no—
430#328—611no—
431#328—611no—
432#328—612no—
433#327—612no—
434#327—612no—
435#327—612no—
436#327—612no—
437#327—611no—
438#327—612no—
439#327—611no—
440C61#1760311yescharacteristic, complemented, Sylow
441H(5,𝔽2)—2444no—
442C2×#41—611no—
443C2×#41—612no—
444C2×#41—611no—
445C2×#41—611no—
446C2×#41—612no—
447C2×#41—612no—
448C2×#41—611no—
449C2×#41—1221no—
450C2×#41—2444no—
451C2×#41C2×#692311yescharacteristic
452C22×Q8—611no—
453C22×D4—611no—
454C22×D4—612no—
455C22×D4—612no—
456C22×D4—1221no—
457C22×D4—1222no—
458C22×D4—1222no—
459C22×D4—1221no—
460C22×D4C2×#692311yescharacteristic, complemented
461C23×C4—612no—
462C23×C4—611no—
463C23×C4—1222no—
464#131—2444no—
465C2×M16—1222no—
466C2×M16—1221no—
467C22×C8—1222no—
468C22×C8—1221no—
469#127—21no—
470#127—1222no—
471#124—21no—
472#124—1222no—
473#123—1222no—
474#123—1221no—
475C22⋊Q8—612no—
476C22⋊Q8—611no—
477C22⋊Q8—611no—
478C22⋊Q8—1222no—
479C22⋊Q8—1221no—
480#121—612no—
481#121—612no—
482#121—612no—
483#121—611no—
484#121—611no—
485#121—1222no—
486#121—1222no—
487#121—1221no—
488#121—1221no—
489#121—1222no—
490#121—1222no—
491#121—1222no—
492#121—1222no—
493#121—1221no—
494#121C2×#692312yescomplemented
495#121C2×#692312yescomplemented
496#120—22no—
497#120—1222no—
498#120—1221no—
499#120—1222no—
500#120—1222no—
501C4×Q8—1221no—
502C4×D4—1221no—
503C4×D4—1221no—
504C4×D4—1221no—
505C4×D4—1222no—
506C4×D4—1222no—
507C4×D4—1222no—
508C4×D4—2444no—
509#117—612no—
510#117C2×#692311yescharacteristic, complemented
511C2×C4⋊C4—611no—
512C2×C4⋊C4—612no—
513C2×C4⋊C4—1221no—
514C2×C22⋊C4—1222no—
515C2×C22⋊C4—1221no—
516C2×C22⋊C4—1221no—
517C2×C22⋊C4—1222no—
518C2×C22⋊C4—1221no—
519C2×C42—1221no—
520C22⋊C8—611no—
521C22⋊C8—612no—
522C22⋊C8—611no—
523C22⋊C8—1221no—
524C22⋊C8—1222no—
525C22⋊C8—1221no—
526C22⋊C8—1222no—
527#95—611no—
528#95—612no—
529#95—611no—
530#95—1222no—
531#95—1222no—
532C24—21no—
533C24—612no—
534C24—611no—
535C24—1222no—
536#41—42no—
537#41—1224no—
538#41—1224no—
539#41—2442no—
540#41—2444no—
541#41—2442no—
542#41—2444no—
543#41—2444no—
544#41—2444no—
545C2×Q8—611no—
546C2×Q8—612no—
547C2×Q8—611no—
548C2×Q8—2442no—
549C2×Q8C22⋊#692311yescharacteristic
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—42no—
554C2×D4—612no—
555C2×D4—612no—
556C2×D4—612no—
557C2×D4—611no—
558C2×D4—612no—
559C2×D4—611no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1222no—
563C2×D4—1224no—
564C2×D4—1222no—
565C2×D4—1222no—
566C2×D4—1222no—
567C2×D4—1222no—
568C2×D4—1221no—
569C2×D4—4882no—
570C2×D4—4882no—
571C2×D4—4881no—
572C2×D4—4881no—
573C2×D4—2444no—
574C2×D4—2444no—
575C2×D4—2444no—
576C2×D4—2448no—
577C2×D4C22⋊#692311yescharacteristic
578C2×D4C22⋊#692312yes—
579C2×D4C22×#692312yes—
580C22×C4—611no—
581C22×C4—612no—
582C22×C4—611no—
583C22×C4—612no—
584C22×C4—611no—
585C22×C4—612no—
586C22×C4—612no—
587C22×C4—611no—
588C22×C4—611no—
589C22×C4—1222no—
590C22×C4—1222no—
591C22×C4—1221no—
592C22×C4—1221no—
593C22×C4—1221no—
594C22×C4—1221no—
595C22×C4—1222no—
596C22×C4—4882no—
597C22×C4—2442no—
598C22×C4—2444no—
599C22×C4—2444no—
600C22×C4—2444no—
601C22×C4C22×#692311yescharacteristic
602C22×C4C22×#692312yes—
603M16—2444no—
604M16—2442no—
605C2×C8—1221no—
606C2×C8—1222no—
607C2×C8—1221no—
608C2×C8—2444no—
609C2×C8—2442no—
610C4⋊C4—612no—
611C4⋊C4—1222no—
612C4⋊C4—1221no—
613C4⋊C4—1221no—
614C4⋊C4—1221no—
615C4⋊C4—1222no—
616C4⋊C4—2442no—
617C4⋊C4C22×#692311yescharacteristic
618C4⋊C4C22×#692311yescharacteristic
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—1221no—
623C22⋊C4—1221no—
624C22⋊C4—1222no—
625C22⋊C4—1221no—
626C22⋊C4—1221no—
627C22⋊C4—1222no—
628C22⋊C4—1222no—
629C22⋊C4—1222no—
630C22⋊C4—1222no—
631C22⋊C4—4881no—
632C22⋊C4—2442no—
633C22⋊C4—2444no—
634C42—21no—
635C42—1222no—
636C42—2442no—
637C23—22no—
638C23—42no—
639C23—81no—
640C23—81no—
641C23—612no—
642C23—611no—
643C23—611no—
644C23—1221no—
645C23—1221no—
646C23—1224no—
647C23—1222no—
648C23—1222no—
649C23—1221no—
650C23—4882no—
651C23—4882no—
652C23—2441no—
653C23—2441no—
654C23—2442no—
655C23—2444no—
656C23C2×C22⋊#692311yescharacteristic
657C23C2×C22⋊#692312yes—
658Q8—22no—
659Q8—1222no—
660Q8—2442no—
661Q8—2441no—
662D4—22no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—82no—
667D4—82no—
668D4—614no—
669D4—1224no—
670D4—1224no—
671D4—1224no—
672D4—4881no—
673D4—4882no—
674D4—4882no—
675D4—2441no—
676D4—2441no—
677D4—2441no—
678D4—2442no—
679D4—2444no—
680D4—2442no—
681D4—2442no—
682D4—2442no—
683D4—2444no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—42no—
688C2×C4—612no—
689C2×C4—611no—
690C2×C4—611no—
691C2×C4—1224no—
692C2×C4—1224no—
693C2×C4—1222no—
694C2×C4—1222no—
695C2×C4—1222no—
696C2×C4—1222no—
697C2×C4—1221no—
698C2×C4—4882no—
699C2×C4—4888no—
700C2×C4—4881no—
701C2×C4—2441no—
702C2×C4—2442no—
703C2×C4—2441no—
704C2×C4—2442no—
705C2×C4—2441no—
706C2×C4—2444no—
707C2×C4—2442no—
708C2×C4—2441no—
709C2×C4—2441no—
710C2×C4—2442no—
711C2×C4—2441no—
712C2×C4—2442no—
713C2×C4—2441no—
714C2×C4—2441no—
715C2×C4—2442no—
716C2×C4C2×C22⋊#692312yes—
717C2×C4C2×C22⋊#692311yescharacteristic
718C2×C4C23×#692311yescharacteristic
719C8—2441no—
720C8—2442no—
721C8—2441no—
722C22—21no—
723C22—22no—
724C22—21no—
725C22—22no—
726C22—22no—
727C22—21no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—162no—
732C22—614no—
733C22—611no—
734C22—611no—
735C22—1221no—
736C22—1222no—
737C22—1221no—
738C22—1222no—
739C22—1221no—
740C22—1221no—
741C22—1221no—
742C22—9764no—
743C22—4881no—
744C22—4881no—
745C22—2444no—
746C22—2444no—
747C22—2441no—
748C22—2441no—
749C22—2441no—
750C22C22×C22⋊#692311yescharacteristic
751C4—21no—
752C4—22no—
753C4—41no—
754C4—41no—
755C4—1221no—
756C4—1222no—
757C4—1221no—
758C4—4882no—
759C4—4881no—
760C4—2442no—
761C4—2441no—
762C4—2442no—
763C4D61⋊#9912yes—
764C2—41no—
765C2—42no—
766C2—82no—
767C2—1221no—
768C2—1221no—
769C2—1224no—
770C2—4881no—
771C2—2441no—
772C2C2×D61⋊#9911yescharacteristic
773C2#2146244011yescharacteristic
774C2#2146244911yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#535C4
socleC22×C61C22×C22⋊C4
prime radical#21459486C2
cosocleC2×C4×D61C24
hypercenter#535#6923
hypocenterC61#17603
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #535

Complements

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

NH ≅ G/Ntype
1. #21462410C2semidirect
2. #21462322C2semidirect
3. #21461255C2semidirect
4. #21461244C2semidirect
5. #21461236C2semidirect
6. #21461225C2semidirect
7. #21461215C2semidirect
8. #21461204C2semidirect
9. #21461196C2semidirect
10. D61⋊#327C2semidirect
16. #16840733C22semidirect
17. #16840733C22semidirect
18. D61⋊(C22⋊C8)C22semidirect
19. D61⋊(C22⋊C8)C22semidirect
22. #16840705C22semidirect
23. #16840704C22semidirect
24. C4×C22⋊#6923C22semidirect
25. C2×(C2×#6923)⋊C4C22semidirect
26. #16840615C22semidirect
27. #16840615C22semidirect
28. #16840615C22semidirect
29. #16840614C22semidirect
30. #16840614C22semidirect
31. #16840614C22semidirect
32. #16840613C22semidirect
33. #16840613C22semidirect
34. #16840613C22semidirect
35. #16840613C22semidirect
36. C2×#14519822C4semidirect
44. #16840341C4semidirect
45. #16840340C4semidirect
46. #16840328C4semidirect
51. #16840242C4semidirect
52. C61×#535C4semidirect
81. C2×#11758222C2×C4semidirect
83. C2×#11758224C2×C4semidirect
92. C2×D4×D61C2×C4semidirect
101. #14519757C2×C4semidirect
103. #14519756C2×C4semidirect
106. #14519752C2×C4semidirect
108. #14519751C2×C4semidirect
118. #14519748C2×C4semidirect
131. #14519735C2×C4semidirect
132. C2×C4⋊Dic61C2×C4semidirect
133. C4⋊C4×D61C2×C4semidirect
137. C22×D4×C61C2×C4semidirect
140. #121×C61C2×C4semidirect
141. #121×C61C2×C4semidirect
143. #117×C61C2×C4semidirect
411. #535#6923semidirect
440. C61#17603semidirect
460. C22×D4C2×#6923semidirect
494. #121C2×#6923semidirect
495. #121C2×#6923semidirect
510. #117C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214624102
#214623222
#214612552
#214612442
#214612362
#214612252
#214612152
#214612042
#214611962
D61⋊#3272
#214594862
#1760361