Finite Group Databasebeta

← #30617091

Subgroups — #30617091

Order 15616.

914 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840807C211yesmaximal, characteristic, complemented
2#21462535C211yesmaximal, characteristic, complemented
3#21462533C211yesmaximal, characteristic, complemented
4C2×#16840728C211yesmaximal, characteristic, complemented
5#21461971C211yesmaximal, characteristic, complemented
6#21461927C211yesmaximal, characteristic, complemented
7#21461913C211yesmaximal, characteristic, complemented
8#21461912C211yesmaximal, characteristic, complemented
9#21461839C211yesmaximal, characteristic, complemented
10#21461838C211yesmaximal, characteristic, complemented
11#21461700C211yesmaximal, characteristic, complemented
12#21461626C211yesmaximal, characteristic, complemented
13#21461600C211yesmaximal, characteristic, complemented
14#21461598C211yesmaximal, characteristic, complemented
15#21455423C211yesmaximal, characteristic
16C2×#14519865C2211yescharacteristic
17C2×#14519864C2211yescharacteristic
18C22×D61⋊C8C2211yescharacteristic
19C2×#14519856C2211yescharacteristic
20#16840807—24no—
21#16840794—21no—
22#16840793—21no—
23#16840792—21no—
24#16840791—21no—
25#16840790—21no—
26#16840789—21no—
27#16840789—21no—
28D4×#92420—21no—
29C2×#14519848C2211yescharacteristic
30C2×#14519847C2211yescharacteristic
31#16840769C2211yescharacteristic
32#16840769C2211yescharacteristic
33C2×#14519842C2211yescharacteristic
34C2×#14519842C2211yescharacteristic
35C2×#14519841C2211yescharacteristic
36C2×#14519841C2211yescharacteristic
37#16840737C2211yescharacteristic
38#16840736C2211yescharacteristic
39#16840733C2211yescharacteristic
40#16840733C2211yescharacteristic
41#16840728—24no—
42#16840727C2211yescharacteristic
43#16840727C2211yescharacteristic
44C2×#14519831C2211yescharacteristic
45C2×#14519831C2211yescharacteristic
46C2×C8×#6923C2211yescharacteristic
47C2×C8×#6923C2211yescharacteristic
48#16840638C2211yescharacteristic
49#16840638C2211yescharacteristic
50#16840632C2211yescharacteristic
51#16840632C2211yescharacteristic
52#16840632C2211yescharacteristic
53#16840632C2211yescharacteristic
54C2×#14519798C2211yescharacteristic
55C2×M16×D61C2211yescharacteristic
56#16840275C2211yescharacteristic
57#16840272C2211yescharacteristic
58#16840019C411yescharacteristic, complemented
59#16840018C411yescharacteristic, complemented
60#16840014C411yescharacteristic, complemented
61#16840013C411yescharacteristic, complemented
62#16840009C411yescharacteristic, complemented
63#16840008C411yescharacteristic, complemented
64#16840005C411yescharacteristic, complemented
65#16839799C2211yescharacteristic
66#16839757C2211yescharacteristic
67#16839755C2211yescharacteristic
68C61×#468C411yescharacteristic, complemented
69#14519865—22no—
70#14519865—22no—
71#14519864—22no—
72#14519864—22no—
73C2×#11758213—21no—
74C2×#11758213C2311yescharacteristic
75C2×#11758213C2311yescharacteristic
76C2×#11758213C2311yescharacteristic
77C2×#11758213C2311yescharacteristic
78C2×#11758217—21no—
79C2×D61⋊C8—22no—
80C2×D61⋊C8—22no—
81C2×D61⋊C8—21no—
82C2×D61⋊C8D411yescharacteristic
83C2×D61⋊C8D411yescharacteristic
84C2×D61⋊C8C2311yescharacteristic
85C2×D61⋊C8C2311yescharacteristic
86C22×#92420—21no—
87C22×#92420D411yescharacteristic
88C22×#92420D411yescharacteristic
89#14519856—22no—
90#14519856—22no—
91C2×C4⋊#6923—21no—
92C2×C22⋊#6923—21no—
93C2×C4×#6923C2311yescharacteristic
94C2×C4×#6923C2311yescharacteristic
95#14519848—22no—
96#14519847—22no—
97#14519844—21no—
98#14519844—21no—
99C4⋊#92420—21no—
100C4⋊#92420—21no—
101#14519842—22no—
102#14519842—22no—
103#14519841—22no—
104#14519841—22no—
105#14519834—21no—
106#14519834—21no—
107#14519834—21no—
108#14519834—21no—
109C22⋊#92420—21no—
110C22⋊#92420—21no—
111C22⋊#92420—21no—
112C22⋊#92420—21no—
113#14519832—21no—
114#14519832—21no—
115#14519831—22no—
116#14519831D414yescomplemented
117C4×#92420—21no—
118C4×#92420—21no—
119C8×#6923—22no—
120C8×#6923—22no—
121C2×#11758226C2311yescharacteristic
122C2×#11758224C2311yescharacteristic
123C22×C4×D61C2311yescharacteristic
124#14519798—22no—
125#14519798—22no—
126C2×#11758202C2×C411yescharacteristic
127C2×#11758190C2×C411yescharacteristic
128C2×#11758199C2×C411yescharacteristic
129C2×#11758194C2×C411yescharacteristic
130C2×#11758189C2×C411yescharacteristic
131C2×#11758189C2×C411yescharacteristic
132M16×D61—22no—
133M16×D61—22no—
134C2×C8×D61C2311yescharacteristic
135C2×C8×D61C2311yescharacteristic
136#14519762—21no—
137#14519759—21no—
138#14519757C2×C411yescharacteristic
139#14519756C2×C411yescharacteristic
140#14519753C2×C411yescharacteristic
141#14519752C2×C411yescharacteristic
142#14519751C2×C411yescharacteristic
143#14519748C2×C411yescharacteristic
144#14519747—21no—
145#14519745—21no—
146D4×Dic61—21no—
147#14519739—21no—
148#14519737—21no—
149#14519737—21no—
150#14519735C2311yescharacteristic
151#14519735C2311yescharacteristic
152#14519711C2×C411yescharacteristic
153#14519708C2×C411yescharacteristic
154#14519708C2×C411yescharacteristic
155#14519702C2×C411yescharacteristic
156#14519701C2×C411yescharacteristic
157#14519700C2×C411yescharacteristic
158#14519699C2×C411yescharacteristic
159#14519698C2×C411yescharacteristic
160#14519697C2×C411yescharacteristic
161C2×SD16×C61C2×C411yescharacteristic
162C2×M16×C61C2×C411yescharacteristic
163C22⋊Q8×C61C2×C411yescharacteristic
164#121×C61C2×C411yescharacteristic
165#107×C61C2×C411yescharacteristic
166#103×C61C2×C411yescharacteristic
167#102×C61C2×C411yescharacteristic
168C23×D61#4111yescharacteristic
169C22×#6923—21no—
170C22×#6923—21no—
171C2×Q8×C61C22×C411yescharacteristic
172C2×D4×C61—21no—
173C2×D4×C61C22×C411yescharacteristic
174C22×C4×C61C22×C411yescharacteristic
175C2×C22⋊D61—21no—
176C2×C22⋊D61—21no—
177C2×C22⋊D61—21no—
178C22×Dic61—21no—
179C22×Dic61C2×D411yescharacteristic
180#11758226—21no—
181#11758226—21no—
182#11758226—21no—
183#11758226—21no—
184#11758224—21no—
185#11758224—21no—
186#11758224—21no—
187#11758224—21no—
188C2×D244—21no—
189C2×D244—21no—
190C2×D244C22×C411yescharacteristic
191C2×C4×D61—21no—
192C2×C4×D61—21no—
193C2×C4×D61—21no—
194C2×C4×D61—21no—
195C2×C4×D61—21no—
196C2×C4×D61C22×C411yescharacteristic
197C2×C4×D61C2×D411yescharacteristic
198C2×C4×D61#4111yescharacteristic
199C2×C4×D61C2411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201C22⋊#6923—24no—
202#11758217—42no—
203C2×#92420—22no—
204C2×#92420—22no—
205C2×#92420—21no—
206C2×#92420—21no—
207C2×#92420—21no—
208C2×#92420—21no—
209C2×#92420—42no—
210C2×#92420C2×D411yescharacteristic
211C2×#92420C2×D411yescharacteristic
212C2×#92420C2×D411yescharacteristic
213C2×#92420C2×D411yescharacteristic
214C4⋊#6923—24no—
215C4×#6923—21no—
216C4×#6923—21no—
217C4×#6923C2×D412yes—
218C4×#6923#4112yes—
219#11758213—21no—
220#11758213—21no—
221#11758213—21no—
222#11758213—21no—
223#11758213—21no—
224#11758213—21no—
225#11758213—21no—
226#11758213—21no—
227#11758213—42no—
228D61⋊C8—21no—
229D61⋊C8—21no—
230D61⋊C8—22no—
231D61⋊C8—22no—
232D61⋊C8—42no—
233D61⋊C8C2×D412yes—
234D61⋊C8#4112yes—
235SD16×C61—22no—
236M16×C61—22no—
237C2×C8×C61C22×C411yescharacteristic
238C2×C8×C61C22×C411yescharacteristic
239C4⋊C4×C61—21no—
240C4⋊C4×C61C22×C411yescharacteristic
241C4⋊C4×C61C22×C411yescharacteristic
242C22⋊C4×C61—21no—
243C22⋊C4×C61—21no—
244C22⋊Dic61—21no—
245C22⋊Dic61—21no—
246#11758202—22no—
247#11758199—22no—
248#11758198—21no—
249#11758198—21no—
250#11758198—21no—
251#11758198—21no—
252#11758198—21no—
253#11758198—21no—
254C4⋊Dic61—21no—
255C4⋊Dic61C22×C411yescharacteristic
256C4⋊Dic61C22×C411yescharacteristic
257#11758196—21no—
258#11758196—21no—
259C4×Dic61—21no—
260C4×Dic61—21no—
261#11758194—22no—
262C2×#92418C22×C411yescharacteristic
263C2×#92418C22×C411yescharacteristic
264#11758190—22no—
265#11758189—22no—
266#11758189—22no—
267C8×D61—21no—
268C8×D61—21no—
269C8×D61C2×D412yes—
270C8×D61#4112yes—
271C23×C61—21no—
272C23×C61C4×D411yescharacteristic
273C22×D61—21no—
274C22×D61—21no—
275C22×D61—21no—
276C22×D61—41no—
277C22×D61—41no—
278C22×D61C4×D411yescharacteristic
279C22×D61C2×#4111yescharacteristic
280C2×#6923—22no—
281C2×#6923—22no—
282C2×#6923—41no—
283C2×#6923—41no—
284C2×#6923—41no—
285C2×#6923—41no—
286Q8×C61—21no—
287Q8×C61—21no—
288D4×C61—21no—
289D4×C61—21no—
290D4×C61—42no—
291C2×C4×C61—21no—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61C4×D411yescharacteristic
297C2×C4×C61C23×C411yescharacteristic
298C22⋊D61—42no—
299C22⋊D61—42no—
300C22⋊D61—41no—
301C22⋊D61—41no—
302C2×Dic61—21no—
303C2×Dic61—21no—
304C2×Dic61—21no—
305C2×Dic61—21no—
306C2×Dic61—21no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61C4×D411yescharacteristic
310C2×Dic61C22×D411yescharacteristic
311D244—21no—
312D244—21no—
313D244—42no—
314D244—41no—
315D244—41no—
316C4×D61—21no—
317C4×D61—21no—
318C4×D61—21no—
319C4×D61—21no—
320C4×D61—21no—
321C4×D61—21no—
322C4×D61—41no—
323C4×D61—41no—
324C4×D61C22×D411yescharacteristic
325C4×D61C2×#4111yescharacteristic
326C4×D61C2×#4111yescharacteristic
327C4×D61C2×#4111yescharacteristic
328Dic122—21no—
329Dic122—21no—
330#92420—21no—
331#92420—21no—
332#92420—41no—
333#92420—41no—
334#92420—41no—
335#92420—41no—
336#92420#12112yes—
337#92420#12112yes—
338C8×C61—21no—
339C8×C61C4×D412yes—
340#92418—21no—
341#92418C4×D412yes—
342#21550—611nomaximal, Sylow
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—21no—
346C22×C61—41no—
347C22×C61—41no—
348C22×C61—41no—
349C22×C61C2×C4×D411yescharacteristic
350C2×D61—21no—
351C2×D61—21no—
352C2×D61—21no—
353C2×D61—21no—
354C2×D61—21no—
355C2×D61—42no—
356C2×D61—42no—
357C2×D61—41no—
358C2×D61—41no—
359C2×D61—41no—
360C2×D61#52511yescharacteristic
361C2×D61#52911yescharacteristic
362#6923—42no—
363#6923—42no—
364C4×C61—21no—
365C4×C61—41no—
366C4×C61—41no—
367C4×C61—41no—
368C4×C61C2×C4×D411yescharacteristic
369C4×C61C4×#4111yescharacteristic
370Dic61—21no—
371Dic61—41no—
372Dic61—41no—
373Dic61—41no—
374Dic61C2×#12111yescharacteristic
375Dic61#53211yescharacteristic
376#3054—611no—
377C2×#444—611no—
378#2929—611no—
379#2929—611no—
380C2×#405—611no—
381#1974—611no—
382#1945—611no—
383#1937—611no—
384#1937—611no—
385#1897—611no—
386#1897—611no—
387#1811—611no—
388#1773—611no—
389#1765—611no—
390#1765—611no—
391C2×C61—41no—
392C2×C61—81no—
393C2×C61C4×#12111yescharacteristic
394C2×C61#295511yescharacteristic
395C2×C61#295511yescharacteristic
396D61—21no—
397D61—21no—
398D61—41no—
399D61—81no—
400C2×#135—611no—
401C2×#131—611no—
402C2×#131—611no—
403C22×M16—611no—
404C23×C8—611no—
405#525—611no—
406#525—611no—
407C2×#117—611no—
408#470—611no—
409#470—611no—
410#469—611no—
411#469—611no—
412#468—611no—
413#468—611no—
414#468—611no—
415#468#692311yescharacteristic, complemented
416#444—1224no—
417#435—1221no—
418#435—1221no—
419#435—1221no—
420#435—1221no—
421C8×D4—1221no—
422C8×D4—1221no—
423C8×D4—1221no—
424C8×D4—1221no—
425C2×#108—611no—
426C2×#108—611no—
427#427—611no—
428#424—611no—
429#424—611no—
430C2×#104—611no—
431C2×#104—611no—
432C2×#104—611no—
433C2×#104—611no—
434#416—611no—
435#416—611no—
436#408—611no—
437#408—611no—
438#407—611no—
439#407—611no—
440#405—611no—
441#405—611no—
442#405—1224no—
443C2×#97—611no—
444C2×#97—611no—
445C2×C4×C8—611no—
446C2×C4×C8—611no—
447#341—611no—
448#341—611no—
449#339—611no—
450#339—611no—
451#339—611no—
452#339—611no—
453C61#2155011yescharacteristic, complemented, Sylow
454C2×#41—611no—
455C2×#41—611no—
456C23×C4—611no—
457#135—1222no—
458#135—1222no—
459C2×Q16—611no—
460C2×SD16—611no—
461C2×SD16C2×#692311yescharacteristic
462C2×D8—611no—
463#131—1222no—
464#131—1222no—
465#131—1222no—
466#131—1222no—
467C2×M16—611no—
468C2×M16—611no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—611no—
472C2×M16—611no—
473C2×M16—611no—
474C2×M16—1222no—
475C2×M16—1222no—
476C2×M16—1221no—
477C2×M16—1221no—
478C2×M16C2×#692311yescharacteristic
479C22×C8—611no—
480C22×C8—611no—
481C22×C8—611no—
482C22×C8—611no—
483C22×C8—611no—
484C22×C8—611no—
485C22×C8—611no—
486C22×C8—611no—
487C22×C8—1222no—
488C22×C8—1222no—
489C22×C8—1221no—
490C22×C8—1221no—
491#123—1221no—
492#123—1221no—
493C22⋊Q8—611no—
494C22⋊Q8—611no—
495C22⋊Q8—611no—
496C22⋊Q8C2×#692311yescharacteristic
497#121—611no—
498#121—611no—
499#121—611no—
500#121C2×#692311yescharacteristic
501#120—1221no—
502#120—1221no—
503C4×D4—1221no—
504C4×D4—1221no—
505C4×D4—1221no—
506C4×D4—1221no—
507#117—611no—
508#117—611no—
509#117—1222no—
510#117—1222no—
511C2×C4⋊C4—1221no—
512C2×C22⋊C4—1221no—
513C2×C42—611no—
514C2×C42—611no—
515#108—1222no—
516#108—1222no—
517#107—611no—
518#107C2×#692311yescharacteristic
519#106—611no—
520#106—611no—
521C4⋊C8—1221no—
522C4⋊C8—1221no—
523C4⋊C8—1221no—
524C4⋊C8—1221no—
525#104—1222no—
526#104—1222no—
527#104—1222no—
528#104—1222no—
529#103—611no—
530#103—611no—
531#103—611no—
532#103C2×#692311yescharacteristic
533#102—611no—
534#102—611no—
535#102—611no—
536#102C2×#692311yescharacteristic
537C22⋊C8—1221no—
538C22⋊C8—1221no—
539C22⋊C8—1221no—
540C22⋊C8—1221no—
541C22⋊C8—1221no—
542C22⋊C8—1221no—
543C22⋊C8—1221no—
544C22⋊C8—1221no—
545#97—614no—
546#97—1222no—
547#97—1221no—
548#97—1221no—
549C4×C8—1222no—
550C4×C8—1222no—
551C4×C8—1221no—
552C4×C8—1221no—
553C24—611no—
554#41—1221no—
555#41—1221no—
556#41—1221no—
557#41—1221no—
558#41—1221no—
559#41—1221no—
560#41—1221no—
561#41—1221no—
562C2×Q8—611no—
563C2×Q8C22×#692311yescharacteristic
564C2×D4—21no—
565C2×D4—611no—
566C2×D4—1221no—
567C2×D4—1221no—
568C2×D4—1221no—
569C2×D4—1221no—
570C2×D4—1221no—
571C2×D4C22×#692311yescharacteristic
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—611no—
575C22×C4—611no—
576C22×C4—611no—
577C22×C4—1221no—
578C22×C4—1221no—
579C22×C4—1221no—
580C22×C4—1221no—
581C22×C4—1221no—
582C22×C4—1221no—
583C22×C4—1221no—
584C22×C4—1221no—
585C22×C4C22×#692311yescharacteristic
586Q16—1222no—
587SD16—22no—
588SD16—1222no—
589D8—1222no—
590M16—22no—
591M16—1222no—
592M16—1222no—
593M16—1222no—
594M16—1221no—
595M16—1221no—
596M16—1221no—
597M16—1221no—
598M16—1221no—
599M16—1221no—
600M16—1221no—
601M16—1221no—
602M16—2442no—
603M16—2442no—
604C2×C8—611no—
605C2×C8—611no—
606C2×C8—612no—
607C2×C8—612no—
608C2×C8—611no—
609C2×C8—612no—
610C2×C8—612no—
611C2×C8—611no—
612C2×C8—611no—
613C2×C8—611no—
614C2×C8—1221no—
615C2×C8—1221no—
616C2×C8—1222no—
617C2×C8—1222no—
618C2×C8—1222no—
619C2×C8—1222no—
620C2×C8—1221no—
621C2×C8—1221no—
622C2×C8—1221no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—1221no—
626C2×C8—2442no—
627C2×C8—2442no—
628C2×C8C22×#692311yescharacteristic
629C2×C8C22×#692311yescharacteristic
630C4⋊C4—21no—
631C4⋊C4—611no—
632C4⋊C4—611no—
633C4⋊C4—1221no—
634C4⋊C4—1221no—
635C4⋊C4—1224no—
636C4⋊C4—1221no—
637C4⋊C4C22×#692311yescharacteristic
638C4⋊C4C22×#692311yescharacteristic
639C22⋊C4—21no—
640C22⋊C4—21no—
641C22⋊C4—1221no—
642C22⋊C4—1221no—
643C22⋊C4—1221no—
644C22⋊C4—1221no—
645C22⋊C4—1221no—
646C22⋊C4—1221no—
647C22⋊C4—1224no—
648C22⋊C4—1221no—
649C22⋊C4—1221no—
650C42—612no—
651C42—612no—
652C42—1221no—
653C42—1221no—
654C42—1221no—
655C42—1221no—
656C23—21no—
657C23—611no—
658C23—611no—
659C23—1221no—
660C23—1221no—
661C23—1221no—
662C23—2441no—
663C23—2441no—
664C23D4×#692311yescharacteristic
665Q8—21no—
666Q8—21no—
667Q8—1221no—
668Q8—1221no—
669D4—21no—
670D4—21no—
671D4—42no—
672D4—1221no—
673D4—1221no—
674D4—2441no—
675D4—2441no—
676D4—2442no—
677D4—2442no—
678D4—2441no—
679D4—2441no—
680D4—2442no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—611no—
687C2×C4—611no—
688C2×C4—611no—
689C2×C4—611no—
690C2×C4—611no—
691C2×C4—611no—
692C2×C4—1221no—
693C2×C4—1221no—
694C2×C4—1221no—
695C2×C4—1221no—
696C2×C4—1221no—
697C2×C4—1221no—
698C2×C4—1221no—
699C2×C4—1221no—
700C2×C4—1222no—
701C2×C4—1222no—
702C2×C4—1221no—
703C2×C4—1221no—
704C2×C4—1221no—
705C2×C4—2441no—
706C2×C4—2441no—
707C2×C4—2441no—
708C2×C4—2441no—
709C2×C4—2441no—
710C2×C4—2441no—
711C2×C4—2441no—
712C2×C4—2441no—
713C2×C4D4×#692311yescharacteristic
714C2×C4C23×#692311yescharacteristic
715C8—21no—
716C8—612no—
717C8—612no—
718C8—612no—
719C8—1221no—
720C8—1221no—
721C8—1221no—
722C8—2441no—
723C8—2441no—
724C8—2441no—
725C8—2441no—
726C8D4×#692312yes—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—611no—
734C22—611no—
735C22—1221no—
736C22—1221no—
737C22—1221no—
738C22—1221no—
739C22—1221no—
740C22—2442no—
741C22—2442no—
742C22—2441no—
743C22—2441no—
744C22—2441no—
745C22C2×D4×#692311yescharacteristic
746C4—21no—
747C4—41no—
748C4—41no—
749C4—41no—
750C4—611no—
751C4—611no—
752C4—1221no—
753C4—2442no—
754C4—2442no—
755C4—2441no—
756C4—2441no—
757C4—2441no—
758C4C2×D4×#692311yescharacteristic
759C4#41×#692311yescharacteristic
760C2—41no—
761C2—81no—
762C2—1221no—
763C2—1221no—
764C2—4881no—
765C2—2441no—
766C2#121×#692311yescharacteristic
767C2#2146259111yescharacteristic
768C2#2146259211yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#468C4
socleC22×C61C2×C4×D4
prime radical#21455423C2
cosocleC2×C4×D61C24
hypercenter#468#6923
hypocenterC61#21550
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #468

Complements

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

NH ≅ G/Ntype
1. C2×#16840807C2semidirect
2. #21462535C2semidirect
3. #21462533C2semidirect
4. C2×#16840728C2semidirect
5. #21461971C2semidirect
6. #21461927C2semidirect
7. #21461913C2semidirect
8. #21461912C2semidirect
9. #21461839C2semidirect
10. #21461838C2semidirect
11. #21461700C2semidirect
12. #21461626C2semidirect
13. #21461600C2semidirect
14. #21461598C2semidirect
58. #16840019C4semidirect
59. #16840018C4semidirect
60. #16840014C4semidirect
61. #16840013C4semidirect
62. #16840009C4semidirect
63. #16840008C4semidirect
64. #16840005C4semidirect
68. C61×#468C4semidirect
116. #14519831D4semidirect
415. #468#6923semidirect
453. C61#21550semidirect

Maximal subgroups

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

subgroupindex
C2×#168408072
#214625352
#214625332
C2×#168407282
#214619712
#214619272
#214619132
#214619122
#214618392
#214618382
#214617002
#214616262
#214616002
#214615982
#214554232
#2155061