Finite Group Databasebeta

← #30611295

Subgroups — #30611295

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#21461256C211yesmaximal, characteristic, complemented
4#21461246C212yesmaximal, complemented
5#21461234C211yesmaximal, characteristic, complemented
6#21461225C212yesmaximal, complemented
7#21461216C211yesmaximal, characteristic, complemented
8#21461206C212yesmaximal, complemented
9#21461194C211yesmaximal, characteristic, complemented
10D61⋊#327C212yesmaximal, complemented
11#21459483C211yesmaximal, 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#16840616C2211yescharacteristic, complemented
27#16840616C2211yescharacteristic, complemented
28#16840616C2212yescomplemented
29#16840614C2212yescomplemented
30#16840614C2212yescomplemented
31#16840614C2212yescomplemented
32#16840614C2212yescomplemented
33#16840613C2211yescharacteristic, complemented
34#16840613C2212yescomplemented
35#16840613C2211yescharacteristic, complemented
36C2×#14519823C411yescharacteristic, complemented
37C2×#41×D61C2211yescharacteristic
38#16840430—21no—
39#16840422—21no—
40#16840403—21no—
41#16840401—22no—
42#16840396—22no—
43#16840396—21no—
44#16840342C412yescomplemented
45#16840328C412yescomplemented
46#16840326C411yescharacteristic, complemented
47#16840275C2212yes—
48#16840269C2211yescharacteristic
49C2×#14519752C2211yescharacteristic
50#121×D61C2212yes—
51#16840243C411yescharacteristic, complemented
52C61×#537C411yescharacteristic, 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#14519823—44no—
78C2×#11758226C2×C412yescomplemented
79C2×#11758226D411yescharacteristic
80C2×#11758222—21no—
81C2×#11758222C2×C411yescharacteristic
82C2×#11758222C2×C412yes—
83C2×#11758224D412yes—
84C2×#11758224D411yescharacteristic
85#41×D61—44no—
86C2×Q8×D61D411yescharacteristic
87C22×D244—21no—
88C22×D244—21no—
89C22×D244C2×C411yescharacteristic, complemented
90C2×D4×D61—22no—
91C2×D4×D61—22no—
92C2×D4×D61C2×C412yescomplemented
93C2×D4×D61D411yescharacteristic
94C2×D4×D61D412yes—
95C22×C4×D61C2311yescharacteristic
96C22×C4×D61C2312yes—
97#14519773—21no—
98#14519773—22no—
99#14519766—21no—
100#14519763—22no—
101#14519762—22no—
102#14519758—21no—
103#14519755—22no—
104#14519753C2×C411yescharacteristic, complemented
105#14519753C2311yescharacteristic
106#14519752—22no—
107#14519752—21no—
108#14519752—21no—
109#14519752C2×C412yescomplemented
110#14519752C2312yes—
111#14519751C2×C412yescomplemented
112#14519751C2×C412yescomplemented
113#14519750—22no—
114#14519750—22no—
115#14519750—22no—
116#14519749—22no—
117#14519748C2×C411yescharacteristic, complemented
118#14519748C2311yescharacteristic
119#14519747—22no—
120#14519747—22no—
121#14519745—21no—
122#14519745—22no—
123#14519745—22no—
124#14519742—21no—
125#14519739—21no—
126#14519739—22no—
127C4×C22⋊D61—22no—
128C4×C22⋊D61—21no—
129C4×C22⋊D61—21no—
130#14519737—22no—
131#14519736C2×C411yescharacteristic, complemented
132#14519735C2×C412yescomplemented
133C4⋊C4×D61C2×C412yescomplemented
134C2×#11758198—21no—
135C22⋊C4×D61—22no—
136C2×#41×C61C2×C411yescharacteristic
137C2×#41×C61C2×C411yescharacteristic, complemented
138C22⋊Q8×C61—21no—
139C22⋊Q8×C61C2×C412yescomplemented
140#121×C61—22no—
141#121×C61—21no—
142#121×C61C2×C412yescomplemented
143C2×C4⋊C4×C61C2×C411yescharacteristic, complemented
144C23×D61—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—
155#41×C61—42no—
156C2×Q8×C61C22⋊C411yescharacteristic
157C2×Q8×C61C22×C411yescharacteristic
158C2×D4×C61—21no—
159C2×D4×C61—22no—
160C2×D4×C61C22⋊C411yescharacteristic
161C2×D4×C61C22⋊C412yes—
162C2×D4×C61C22×C411yescharacteristic
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61C22×C411yescharacteristic
166C22×C4×C61C22×C412yes—
167C2×C22⋊D61—21no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—22no—
170C2×C22⋊D61—21no—
171C2×C22⋊D61—22no—
172C2×C22⋊D61C22⋊C412yes—
173C2×C22⋊D61C22⋊C412yes—
174C2×C22⋊D61C22⋊C412yes—
175C22×Dic61C2×D411yescharacteristic
176C22×Dic61C2×D412yes—
177#11758226—24no—
178#11758226—44no—
179Q8×D61—42no—
180#11758224—42no—
181#11758224—44no—
182D4×D61—24no—
183D4×D61—44no—
184D4×D61—44no—
185D4×D61—48no—
186D4×D61—82no—
187D4×D61—82no—
188#11758222—24no—
189#11758222—44no—
190#11758222—44no—
191C2×D244—22no—
192C2×D244—22no—
193C2×D244—21no—
194C2×D244—22no—
195C2×D244—44no—
196C2×D244—42no—
197C2×D244—81no—
198C2×D244—81no—
199C2×D244C22⋊C412yes—
200C2×D244C22⋊C411yescharacteristic
201C2×D244C22×C412yes—
202C2×C4×D61—22no—
203C2×C4×D61—22no—
204C2×C4×D61—42no—
205C2×C4×D61—44no—
206C2×C4×D61C22×C412yes—
207C2×C4×D61C22×C411yescharacteristic
208C2×C4×D61C2×D411yescharacteristic
209C2×C4×D61C2×D412yes—
210C2×C4×D61C2×D411yescharacteristic
211C2×C4×D61C2×D412yes—
212C2×C4×D61C2411yescharacteristic
213C2×Dic122C22⋊C411yescharacteristic
214C2×Dic122C22⋊C412yes—
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×C61—21no—
228C4⋊C4×C61—22no—
229C4⋊C4×C61C22×C412yes—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C22⋊Dic61—21no—
233C22⋊Dic61—21no—
234C22⋊Dic61—21no—
235#11758198—22no—
236#11758198—21no—
237#11758198—21no—
238#11758198—22no—
239#11758198—22no—
240#11758198—22no—
241#11758198—22no—
242C4⋊Dic61C22×C411yescharacteristic
243C4⋊Dic61C22×C411yescharacteristic
244#11758196—22no—
245#11758196—21no—
246#11758196—21no—
247C4×Dic61—21no—
248C4×Dic61—22no—
249C23×C61—21no—
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61C2×C22⋊C412yes—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—24no—
255C22×D61—21no—
256C22×D61—21no—
257C22×D61—22no—
258C22×D61—42no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61—42no—
262C22×D61—44no—
263C22×D61—82no—
264C22×D61—82no—
265C22×D61—81no—
266C22×D61—81no—
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—
281Q8×C61—41no—
282D4×C61—22no—
283D4×C61—42no—
284D4×C61—41no—
285D4×C61—42no—
286D4×C61—82no—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—21no—
290C2×C4×C61—42no—
291C2×C4×C61—42no—
292C2×C4×C61—81no—
293C2×C4×C61C2×C22⋊C412yes—
294C2×C4×C61C2×C22⋊C411yescharacteristic
295C2×C4×C61C23×C411yescharacteristic
296C22⋊D61—24no—
297C22⋊D61—24no—
298C22⋊D61—42no—
299C22⋊D61—44no—
300C22⋊D61—41no—
301C22⋊D61—41no—
302C22⋊D61—81no—
303C22⋊D61—82no—
304C22⋊D61—82no—
305C2×Dic61—21no—
306C2×Dic61—21no—
307C2×Dic61—42no—
308C2×Dic61—41no—
309C2×Dic61C2×C22⋊C412yes—
310C2×Dic61C2×C22⋊C411yescharacteristic
311C2×Dic61C22×D411yescharacteristic
312D244—24no—
313D244—42no—
314D244—42no—
315D244—42no—
316D244—44no—
317D244—42no—
318D244—82no—
319D244#9914yes—
320C4×D61—24no—
321C4×D61—24no—
322C4×D61—22no—
323C4×D61—22no—
324C4×D61—41no—
325C4×D61—41no—
326C4×D61—42no—
327C4×D61—44no—
328C4×D61—82no—
329Dic122—22no—
330Dic122—42no—
331#92420—41no—
332#92420—42no—
333#92420—41no—
334#17603—611nomaximal, Sylow
335C22×C61—21no—
336C22×C61—22no—
337C22×C61—22no—
338C22×C61—21no—
339C22×C61—22no—
340C22×C61—21no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61C22×C22⋊C411yescharacteristic
345C2×D61—21no—
346C2×D61—22no—
347C2×D61—21no—
348C2×D61—22no—
349C2×D61—21no—
350C2×D61—21no—
351C2×D61—21no—
352C2×D61—44no—
353C2×D61—44no—
354C2×D61—42no—
355C2×D61—42no—
356C2×D61—42no—
357C2×D61—81no—
358C2×D61—81no—
359C2×D61—164no—
360C2×D61—162no—
361C2×D61C2×#9914yes—
362C2×D61#57611yescharacteristic
363C2×D61#57711yescharacteristic
364#6923—42no—
365#6923—81no—
366#6923—82no—
367C4×C61—22no—
368C4×C61—21no—
369C4×C61—41no—
370C4×C61—42no—
371C4×C61C2×#9912yes—
372Dic61—21no—
373Dic61—22no—
374Dic61—21no—
375Dic61—41no—
376Dic61—41no—
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—81no—
391C2×C61C22×#9911yescharacteristic
392C2×C61#289711yescharacteristic
393C2×C61#290111yescharacteristic
394D61—21no—
395D61—21no—
396D61—24no—
397D61—41no—
398D61—82no—
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—612no—
409#537#692311yescharacteristic, complemented
410#535—611no—
411#535—612no—
412#525—611no—
413#525—612no—
414C2×#121—612no—
415C2×#121—611no—
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—611no—
434#327—612no—
435#327—611no—
436#327—612no—
437#327—612no—
438#327—612no—
439#327—612no—
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—1221no—
449C2×#41—2444no—
450C2×#41C2×#692311yescharacteristic
451C2×#41C2×#692311yescharacteristic, complemented
452C22×Q8—611no—
453C22×D4—611no—
454C22×D4—612no—
455C22×D4—612no—
456C22×D4—611no—
457C22×D4—1221no—
458C22×D4—1221no—
459C22×D4—1222no—
460C22×D4—1222no—
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—1222no—
470#127—1221no—
471#124—1222no—
472#124—1221no—
473#123—1222no—
474#123—1221no—
475C22⋊Q8—21no—
476C22⋊Q8—611no—
477C22⋊Q8—611no—
478C22⋊Q8—1222no—
479C22⋊Q8C2×#692312yescomplemented
480#121—22no—
481#121—21no—
482#121—611no—
483#121—611no—
484#121—612no—
485#121—612no—
486#121—612no—
487#121—612no—
488#121—1222no—
489#121—1222no—
490#121—1222no—
491#121—1221no—
492#121—1221no—
493#121—1222no—
494#121—1222no—
495#121C2×#692312yescomplemented
496#120—1222no—
497#120—1222no—
498#120—1222no—
499#120—1221no—
500#120—1222no—
501C4×Q8—1221no—
502C4×D4—1222no—
503C4×D4—1222no—
504C4×D4—1221no—
505C4×D4—1221no—
506C4×D4—1221no—
507C4×D4—1222no—
508C4×D4—2444no—
509#117—611no—
510#117—612no—
511C2×C4⋊C4—612no—
512C2×C4⋊C4—1221no—
513C2×C4⋊C4C2×#692311yescharacteristic, complemented
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—612no—
533C24—611no—
534C24—1222no—
535C24—1221no—
536#41—42no—
537#41—42no—
538#41—1224no—
539#41—1224no—
540#41—2444no—
541#41—2444no—
542#41—2442no—
543#41—2444no—
544#41—2444no—
545C2×Q8—611no—
546C2×Q8—612no—
547C2×Q8—2442no—
548C2×Q8C22⋊#692311yescharacteristic
549C2×Q8C22×#692311yescharacteristic
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—612no—
553C2×D4—612no—
554C2×D4—612no—
555C2×D4—611no—
556C2×D4—612no—
557C2×D4—612no—
558C2×D4—1222no—
559C2×D4—1222no—
560C2×D4—1222no—
561C2×D4—1222no—
562C2×D4—1224no—
563C2×D4—1221no—
564C2×D4—1222no—
565C2×D4—1222no—
566C2×D4—1221no—
567C2×D4—1221no—
568C2×D4—4881no—
569C2×D4—4881no—
570C2×D4—4882no—
571C2×D4—4882no—
572C2×D4—2442no—
573C2×D4—2444no—
574C2×D4—2444no—
575C2×D4—2444no—
576C2×D4—2448no—
577C2×D4C22⋊#692311yescharacteristic
578C2×D4C22⋊#692312yes—
579C2×D4C22×#692311yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—611no—
583C22×C4—612no—
584C22×C4—611no—
585C22×C4—612no—
586C22×C4—611no—
587C22×C4—612no—
588C22×C4—612no—
589C22×C4—611no—
590C22×C4—611no—
591C22×C4—1222no—
592C22×C4—1222no—
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—21no—
611C4⋊C4—22no—
612C4⋊C4—611no—
613C4⋊C4—611no—
614C4⋊C4—1222no—
615C4⋊C4—1221no—
616C4⋊C4—1221no—
617C4⋊C4—2442no—
618C4⋊C4C22×#692312yes—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—1222no—
622C22⋊C4—1222no—
623C22⋊C4—1222no—
624C22⋊C4—1221no—
625C22⋊C4—1221no—
626C22⋊C4—1221no—
627C22⋊C4—1221no—
628C22⋊C4—1221no—
629C22⋊C4—1222no—
630C22⋊C4—1222no—
631C22⋊C4—4881no—
632C22⋊C4—2442no—
633C22⋊C4—2444no—
634C42—1222no—
635C42—1221no—
636C42—2442no—
637C23—21no—
638C23—612no—
639C23—611no—
640C23—611no—
641C23—1221no—
642C23—1221no—
643C23—1224no—
644C23—1222no—
645C23—1222no—
646C23—1222no—
647C23—4881no—
648C23—4881no—
649C23—4882no—
650C23—4882no—
651C23—2441no—
652C23—2441no—
653C23—2442no—
654C23—2442no—
655C23—2444no—
656C23C2×C22⋊#692312yes—
657C23C2×C22⋊#692311yescharacteristic
658Q8—22no—
659Q8—41no—
660Q8—1222no—
661Q8—2442no—
662D4—22no—
663D4—42no—
664D4—41no—
665D4—42no—
666D4—82no—
667D4—614no—
668D4—1224no—
669D4—1224no—
670D4—1224no—
671D4—4882no—
672D4—4882no—
673D4—4882no—
674D4—4881no—
675D4—2442no—
676D4—2442no—
677D4—2442no—
678D4—2444no—
679D4—2442no—
680D4—2444no—
681D4—2441no—
682D4—2441no—
683D4—2442no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—81no—
690C2×C4—612no—
691C2×C4—611no—
692C2×C4—611no—
693C2×C4—1224no—
694C2×C4—1224no—
695C2×C4—1222no—
696C2×C4—1222no—
697C2×C4—1222no—
698C2×C4—1221no—
699C2×C4—1221no—
700C2×C4—4882no—
701C2×C4—4888no—
702C2×C4—2441no—
703C2×C4—2442no—
704C2×C4—2441no—
705C2×C4—2444no—
706C2×C4—2442no—
707C2×C4—2441no—
708C2×C4—2442no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4—2442no—
712C2×C4—2441no—
713C2×C4—2442no—
714C2×C4—2441no—
715C2×C4—2441no—
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—41no—
729C22—41no—
730C22—41no—
731C22—614no—
732C22—611no—
733C22—611no—
734C22—1221no—
735C22—1222no—
736C22—1221no—
737C22—1222no—
738C22—1221no—
739C22—1221no—
740C22—1221no—
741C22—9762no—
742C22—9764no—
743C22—4881no—
744C22—4881no—
745C22—2444no—
746C22—2444no—
747C22—2442no—
748C22—2442no—
749C22—2442no—
750C22C22×C22⋊#692311yescharacteristic
751C4—21no—
752C4—22no—
753C4—41no—
754C4—42no—
755C4—1221no—
756C4—1222no—
757C4—1221no—
758C4—4882no—
759C4—4881no—
760C4—2442no—
761C4—2441no—
762C4—2441no—
763C4D61⋊#9912yes—
764C2—41no—
765C2—42no—
766C2—81no—
767C2—1221no—
768C2—1221no—
769C2—1224no—
770C2—4882no—
771C2—2441no—
772C2C2×D61⋊#9911yescharacteristic
773C2#2146244011yescharacteristic
774C2#2146245011yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#537C4
socleC22×C61C22×C22⋊C4
prime radical#21459483C2
cosocleC2×C4×D61C24
hypercenter#537#6923
hypocenterC61#17603
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#41 ◁ #537

Complements

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

NH ≅ G/Ntype
1. #21462410C2semidirect
2. #21462322C2semidirect
3. #21461256C2semidirect
4. #21461246C2semidirect
5. #21461234C2semidirect
6. #21461225C2semidirect
7. #21461216C2semidirect
8. #21461206C2semidirect
9. #21461194C2semidirect
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. #16840616C22semidirect
27. #16840616C22semidirect
28. #16840616C22semidirect
29. #16840614C22semidirect
30. #16840614C22semidirect
31. #16840614C22semidirect
32. #16840614C22semidirect
33. #16840613C22semidirect
34. #16840613C22semidirect
35. #16840613C22semidirect
36. C2×#14519823C4semidirect
44. #16840342C4semidirect
45. #16840328C4semidirect
46. #16840326C4semidirect
51. #16840243C4semidirect
52. C61×#537C4semidirect
78. C2×#11758226C2×C4semidirect
89. C22×D244C2×C4semidirect
92. C2×D4×D61C2×C4semidirect
104. #14519753C2×C4semidirect
109. #14519752C2×C4semidirect
111. #14519751C2×C4semidirect
112. #14519751C2×C4semidirect
117. #14519748C2×C4semidirect
131. #14519736C2×C4semidirect
132. #14519735C2×C4semidirect
133. C4⋊C4×D61C2×C4semidirect
137. C2×#41×C61C2×C4semidirect
139. C22⋊Q8×C61C2×C4semidirect
142. #121×C61C2×C4semidirect
143. C2×C4⋊C4×C61C2×C4semidirect
409. #537#6923semidirect
440. C61#17603semidirect
451. C2×#41C2×#6923semidirect
479. C22⋊Q8C2×#6923semidirect
495. #121C2×#6923semidirect
513. C2×C4⋊C4C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214624102
#214623222
#214612562
#214612462
#214612342
#214612252
#214612162
#214612062
#214611942
D61⋊#3272
#214594832
#1760361