Finite Group Databasebeta

← #28610302

Subgroups — #28610302

Order 15104.

780 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21434005C211yesmaximal, characteristic
2#21432823C211yesmaximal, characteristic
3#21432756C211yesmaximal, characteristic, complemented
4#21424843C211yesmaximal, characteristic, complemented
5#21424797C211yesmaximal, characteristic, complemented
6#21424747C211yesmaximal, characteristic, complemented
7#21424698C211yesmaximal, characteristic, complemented
8#21424693C211yesmaximal, characteristic, complemented
9#21424369C211yesmaximal, characteristic, complemented
10#21424300C211yesmaximal, characteristic, complemented
11#21423974C211yesmaximal, characteristic, complemented
12#21423934C211yesmaximal, characteristic, complemented
13C4×C22⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
14C2×#16837162C211yesmaximal, characteristic, complemented
15C59×#1896C211yesmaximal, characteristic
16C2×#14273734C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18C2×#14273686C2211yescharacteristic
19#16837740C411yescharacteristic, complemented
20#16837740C411yescharacteristic, complemented
21#16837735C411yescharacteristic, complemented
22#16837730C411yescharacteristic, complemented
23#16837723C411yescharacteristic, complemented
24#16837723C411yescharacteristic, complemented
25#16837718C411yescharacteristic, complemented
26#16837713C411yescharacteristic, complemented
27#16837480—21no—
28#16837474—21no—
29#16837474—21no—
30D4×C59⋊C8—21no—
31#16837460—21no—
32#16837460—21no—
33#16837456—21no—
34#16837452—21no—
35C2×#14273662C2211yescharacteristic
36C2×#14273662C2211yescharacteristic
37#16837438C2211yescharacteristic
38#16837438C2211yescharacteristic
39#16837430C2211yescharacteristic
40#16837430C2211yescharacteristic
41#16837429C2211yescharacteristic
42#16837398C2211yescharacteristic
43#16837398C2211yescharacteristic
44#16837369C2211yescharacteristic
45C2×C22⋊(C59⋊C8)C2211yescharacteristic
46C2×C22⋊(C59⋊C8)C2211yescharacteristic
47#16837360C2211yescharacteristic
48#16837360C2211yescharacteristic
49#16837358C2211yescharacteristic
50C2×C4×C59⋊C8C2211yescharacteristic
51C2×C4×C59⋊C8C2211yescharacteristic
52#16837166C2211yescharacteristic
53#16837166C2211yescharacteristic
54#16837162C2211yescharacteristic
55#16837162C2211yescharacteristic
56#16837162C2211yescharacteristic
57#16837162C2211yescharacteristic
58#16837157C2211yescharacteristic
59#16837157C2211yescharacteristic
60C59×#525C2211yescharacteristic
61C22×C42×C59C2211yescharacteristic
62C2×#104×C59C2211yescharacteristic
63C2×#104×C59C2211yescharacteristic
64C59×#407C2211yescharacteristic
65C59×#339C2211yescharacteristic
66C59×#339C2211yescharacteristic
67#14273734—22no—
68#14273734—41no—
69C2×#11745664—21no—
70C2×#11745664—21no—
71C2×#11745664—22no—
72C2×#11745664—41no—
73C2×#11745664C2311yescharacteristic
74C2×#11745664C2311yescharacteristic
75C22×C59⋊C8—21no—
76C22×C59⋊C8—21no—
77C22×C59⋊C8C2311yescharacteristic
78C22×C59⋊C8C2311yescharacteristic
79C22×C59⋊C8C2311yescharacteristic
80C22×C59⋊C8C2311yescharacteristic
81#14273686—21no—
82#14273686—21no—
83#14273686C2×C411yescharacteristic
84#14273686C2×C411yescharacteristic
85#14273686C2311yescharacteristic
86#14273686C2311yescharacteristic
87C2×C4⋊Dic59C2×C411yescharacteristic
88C2×C4⋊Dic59C2×C411yescharacteristic
89C2×C22⋊Dic59—21no—
90C2×C4×Dic59—21no—
91#14273662—22no—
92#14273662—41no—
93#14273660C2×C411yescharacteristic, complemented
94#14273660C2×C411yescharacteristic, complemented
95#14273660C2×C411yescharacteristic, complemented
96#14273660C2×C411yescharacteristic, complemented
97#14273658C2×C411yescharacteristic, complemented
98#14273658C2×C411yescharacteristic, complemented
99#14273658C2×C411yescharacteristic, complemented
100#14273658C2×C411yescharacteristic, complemented
101C4⋊(C59⋊C8)—21no—
102C4⋊(C59⋊C8)—21no—
103Dic59⋊C8—21no—
104Dic59⋊C8—21no—
105Dic59⋊C8—21no—
106Dic59⋊C8—21no—
107#14273651C2×C411yescharacteristic, complemented
108#14273651C2×C411yescharacteristic, complemented
109#14273651C2×C411yescharacteristic, complemented
110#14273651C2×C411yescharacteristic, complemented
111#14273648C2×C411yescharacteristic, complemented
112#14273648C2×C411yescharacteristic, complemented
113#14273648C2×C411yescharacteristic, complemented
114#14273648C2×C411yescharacteristic, complemented
115C22⋊(C59⋊C8)—21no—
116C22⋊(C59⋊C8)—21no—
117C22⋊(C59⋊C8)C2×C411yescharacteristic
118C22⋊(C59⋊C8)C2×C411yescharacteristic
119C22⋊(C59⋊C8)C2×C411yescharacteristic
120C22⋊(C59⋊C8)C2×C411yescharacteristic
121C22⋊(C59⋊C8)D411yescharacteristic
122C22⋊(C59⋊C8)D411yescharacteristic
123C22⋊(C59⋊C8)D411yescharacteristic
124C22⋊(C59⋊C8)D411yescharacteristic
125#14273638—21no—
126#14273637—21no—
127#14273637—21no—
128C4×C59⋊C8—22no—
129C4×C59⋊C8—21no—
130C4×C59⋊C8—41no—
131C8×Dic59—21no—
132C8×Dic59—21no—
133C2×#41×C59C2311yescharacteristic
134C23×C4×C59—21no—
135C23×C4×C59C2311yescharacteristic
136C2×M16×C59C2311yescharacteristic
137C2×M16×C59C2311yescharacteristic
138#123×C59—21no—
139C22⋊Q8×C59C2×C411yescharacteristic
140C22⋊Q8×C59C2×C411yescharacteristic
141#121×C59C2×C411yescharacteristic
142#121×C59C2×C411yescharacteristic
143#120×C59—21no—
144C4×D4×C59—21no—
145C4×D4×C59—21no—
146#117×C59C2311yescharacteristic
147C2×C42×C59—22no—
148C2×C42×C59—21no—
149C2×C42×C59—41no—
150C2×C42×C59C2311yescharacteristic
151C2×C42×C59C2311yescharacteristic
152#104×C59—22no—
153#104×C59—41no—
154C22⋊C8×C59—21no—
155C22⋊C8×C59—21no—
156C24×C59#4111yescharacteristic
157#41×C59—21no—
158#41×C59—21no—
159#41×C59—21no—
160#41×C59—21no—
161C2×Q8×C59C22×C411yescharacteristic
162C2×D4×C59—21no—
163C2×D4×C59—21no—
164C2×D4×C59—21no—
165C2×D4×C59C22×C411yescharacteristic
166C22×C4×C59—21no—
167C22×C4×C59—21no—
168C22×C4×C59—21no—
169C22×C4×C59—21no—
170C22×C4×C59—21no—
171C22×C4×C59—24no—
172C22×C4×C59—21no—
173C22×C4×C59—21no—
174C22×C4×C59—42no—
175C22×C4×C59—42no—
176C22×C4×C59C22×C411yescharacteristic
177C22×C4×C59C22×C411yescharacteristic
178C22×C4×C59C2×D411yescharacteristic
179C22×C4×C59C2×D411yescharacteristic
180C22×C4×C59#4111yescharacteristic
181C22×C4×C59C2411yescharacteristic
182C22×Dic59—21no—
183C22×Dic59—21no—
184M16×C59—21no—
185M16×C59—21no—
186M16×C59—21no—
187M16×C59—21no—
188C2×C8×C59—21no—
189C2×C8×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59C22×C411yescharacteristic
193C4⋊C4×C59C22×C411yescharacteristic
194C22⋊C4×C59—21no—
195C22⋊C4×C59—21no—
196C22⋊C4×C59—21no—
197C22⋊C4×C59—21no—
198C22⋊C4×C59—21no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59—21no—
202C42×C59—21no—
203C42×C59—42no—
204C42×C59#4112yes—
205C22⋊Dic59—21no—
206C22⋊Dic59—21no—
207C22⋊Dic59—21no—
208C22⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59C22×C411yescharacteristic
212C4⋊Dic59C22×C411yescharacteristic
213C4⋊Dic59C22×C411yescharacteristic
214C4⋊Dic59C22×C411yescharacteristic
215C4×Dic59—21no—
216C4×Dic59—21no—
217C4×Dic59—21no—
218C4×Dic59—21no—
219#11745664—21no—
220#11745664—21no—
221#11745664—21no—
222#11745664—42no—
223#11745664—42no—
224#11745664#4112yes—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8—21no—
233C2×C59⋊C8—21no—
234C2×C59⋊C8—21no—
235C2×C59⋊C8—42no—
236C2×C59⋊C8—42no—
237C2×C59⋊C8C22×C411yescharacteristic
238C2×C59⋊C8C22×C411yescharacteristic
239C2×C59⋊C8C22×C411yescharacteristic
240C2×C59⋊C8C22×C411yescharacteristic
241C2×C59⋊C8C2×D411yescharacteristic
242C2×C59⋊C8C2×D411yescharacteristic
243C2×C59⋊C8C2×D411yescharacteristic
244C2×C59⋊C8C2×D411yescharacteristic
245C23×C59—21no—
246C23×C59—21no—
247C23×C59—22no—
248C23×C59—21no—
249C23×C59—41no—
250C23×C59C4×D411yescharacteristic
251C23×C59C4×D411yescharacteristic
252C23×C59C2×#4111yescharacteristic
253Q8×C59—21no—
254Q8×C59—21no—
255D4×C59—21no—
256D4×C59—21no—
257D4×C59—41no—
258D4×C59—41no—
259D4×C59—42no—
260D4×C59—81no—
261C2×C4×C59—22no—
262C2×C4×C59—22no—
263C2×C4×C59—22no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
272C2×C4×C59—21no—
273C2×C4×C59—21no—
274C2×C4×C59—22no—
275C2×C4×C59—21no—
276C2×C4×C59—21no—
277C2×C4×C59—21no—
278C2×C4×C59—48no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59C4×D411yescharacteristic
284C2×C4×C59C4×D411yescharacteristic
285C2×C4×C59C23×C411yescharacteristic
286C2×C4×C59C22×D411yescharacteristic
287C2×C4×C59C2×#4111yescharacteristic
288C2×C4×C59C2×#4111yescharacteristic
289C2×C4×C59H(5,𝔽2)11yescharacteristic
290C2×C4×C592−1+411yescharacteristic
291C2×Dic59—21no—
292C2×Dic59—21no—
293C2×Dic59—21no—
294C2×Dic59—21no—
295C2×Dic59—42no—
296C2×Dic59—81no—
297C8×C59—41no—
298C8×C59—41no—
299C59⋊C8—21no—
300C59⋊C8—21no—
301C59⋊C8—21no—
302C59⋊C8—21no—
303C59⋊C8—21no—
304C59⋊C8—21no—
305C59⋊C8—22no—
306C59⋊C8—21no—
307C59⋊C8—21no—
308C59⋊C8—41no—
309#22948—591nomaximal, Sylow
310C22×C59—21no—
311C22×C59—21no—
312C22×C59—21no—
313C22×C59—21no—
314C22×C59—21no—
315C22×C59—21no—
316C22×C59—21no—
317C22×C59—42no—
318C22×C59—42no—
319C22×C59—41no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59#44312yes—
323C22×C59C2×C4×D411yescharacteristic
324C22×C59#55111yescharacteristic
325C22×C59#55211yescharacteristic
326C4×C59—24no—
327C4×C59—21no—
328C4×C59—21no—
329C4×C59—42no—
330C4×C59—41no—
331C4×C59—41no—
332C4×C59—41no—
333C4×C59C4×#4111yescharacteristic
334C4×C59#52011yescharacteristic
335C4×C59#54611yescharacteristic
336C4×C59#54711yescharacteristic
337Dic59—41no—
338Dic59—41no—
339Dic59—41no—
340Dic59—41no—
341#3091—591no—
342#2933—591no—
343#2924—591no—
344#1945—591no—
345#1937—591no—
346#1929—591no—
347#1922—591no—
348#1922—591no—
349#1896D5911yescharacteristic
350#1866—591no—
351#1855—591no—
352#1772—591no—
353#1764—591no—
354C4×C22⋊C8—591no—
355C2×#339—591no—
356C2×C59—21no—
357C2×C59—21no—
358C2×C59—22no—
359C2×C59—41no—
360C2×C59—81no—
361C2×C59#235911yescharacteristic
362C2×C59C2×#44311yescharacteristic
363C2×C59#295611yescharacteristic
364C2×#131—591no—
365C22×M16—591no—
366#525C2×D5911yescharacteristic
367C2×#117—591no—
368C22×C42C2×D5911yescharacteristic
369#485—591no—
370#485—591no—
371#484—591no—
372#483—591no—
373#482—591no—
374#482—591no—
375#481—591no—
376#480—591no—
377#436—1181no—
378#435—1181no—
379#435—1181no—
380C8×D4—1181no—
381#433—1181no—
382#433—1181no—
383#432—1181no—
384#431—1181no—
385C2×#108—591no—
386C2×#108—591no—
387#427—591no—
388#427—591no—
389#424—591no—
390#424—591no—
391#424—591no—
392C2×#104C2×D5911yescharacteristic
393C2×#104C2×D5911yescharacteristic
394#416—591no—
395#416—591no—
396#408—591no—
397#407C2×D5911yescharacteristic
398C2×C22⋊C8—591no—
399C2×C22⋊C8—591no—
400#405—591no—
401#405—591no—
402#405—591no—
403C2×C4×C8—591no—
404C2×C4×C8—591no—
405#341—591no—
406#341—591no—
407#339—591no—
408#339—591no—
409#339—591no—
410#339—591no—
411#339C2×D5911yescharacteristic
412#339C2×D5911yescharacteristic
413#336—591no—
414#336—591no—
415C59#2294811yescharacteristic, complemented, Sylow
416C2×#41C22×D5911yescharacteristic
417C23×C4—21no—
418C23×C4C22×D5911yescharacteristic
419#131—1182no—
420#131—2361no—
421C2×M16—591no—
422C2×M16—591no—
423C2×M16—1181no—
424C2×M16—1181no—
425C2×M16—1182no—
426C2×M16—2361no—
427C2×M16C22×D5911yescharacteristic
428C2×M16C22×D5911yescharacteristic
429C22×C8—591no—
430C22×C8—591no—
431C22×C8—591no—
432C22×C8—591no—
433C22×C8—1181no—
434C22×C8—1181no—
435#123—21no—
436C22⋊Q8C4×D5911yescharacteristic
437C22⋊Q8C4×D5911yescharacteristic
438#121C4×D5911yescharacteristic
439#121C4×D5911yescharacteristic
440#120—21no—
441C4×D4—21no—
442C4×D4—21no—
443#117—591no—
444#117—591no—
445#117—591no—
446#117—591no—
447#117—1181no—
448#117—1181no—
449#117C22×D5911yescharacteristic
450C2×C4⋊C4—591no—
451C2×C4⋊C4—591no—
452C2×C22⋊C4—1181no—
453C2×C42—22no—
454C2×C42—21no—
455C2×C42—41no—
456C2×C42—1181no—
457C2×C42C22×D5911yescharacteristic
458C2×C42C22×D5911yescharacteristic
459#108—1182no—
460#108—2361no—
461#107—591no—
462#107—591no—
463#107—591no—
464#107—591no—
465#106—591no—
466#106—591no—
467#106—591no—
468#106—591no—
469C4⋊C8—1181no—
470C4⋊C8—1181no—
471C4⋊C8—1181no—
472C4⋊C8—1181no—
473C4⋊C8—1181no—
474C4⋊C8—1181no—
475#104—22no—
476#104—41no—
477#103—591no—
478#103—591no—
479#103—591no—
480#103—591no—
481#102—591no—
482#102—591no—
483#102—591no—
484#102—591no—
485C22⋊C8—21no—
486C22⋊C8—21no—
487C22⋊C8—591no—
488C22⋊C8—591no—
489C22⋊C8—591no—
490C22⋊C8—591no—
491C22⋊C8—591no—
492C22⋊C8—591no—
493C22⋊C8—591no—
494C22⋊C8—591no—
495C22⋊C8—1181no—
496C22⋊C8—1181no—
497#97—1181no—
498#97—1181no—
499#97—1181no—
500C4×C8—1181no—
501C4×C8—1181no—
502C4×C8—1181no—
503C4×C8—1182no—
504C4×C8—2361no—
505C24#1174568711yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C2×C4×D5911yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C2×C4×D5911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—24no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—1181no—
526C22×C4—1181no—
527C22×C4C2×C4×D5911yescharacteristic
528C22×C4C2×C4×D5911yescharacteristic
529C22×C4D4×D5911yescharacteristic
530C22×C4D4×D5911yescharacteristic
531C22×C4#1174568711yescharacteristic
532C22×C4C23×D5911yescharacteristic
533M16—21no—
534M16—21no—
535M16—21no—
536M16—21no—
537M16—592no—
538M16—1181no—
539M16—1181no—
540M16—1181no—
541M16—2362no—
542M16—2362no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—591no—
546C2×C8—591no—
547C2×C8—591no—
548C2×C8—591no—
549C2×C8—591no—
550C2×C8—591no—
551C2×C8—591no—
552C2×C8—591no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—1181no—
561C2×C8—1181no—
562C2×C8—1181no—
563C2×C8—2362no—
564C2×C8—2362no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—591no—
568C4⋊C4—591no—
569C4⋊C4—591no—
570C4⋊C4—591no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4C2×C4×D5911yescharacteristic
574C4⋊C4C2×C4×D5911yescharacteristic
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—1181no—
581C22⋊C4—1181no—
582C22⋊C4—1181no—
583C22⋊C4—1181no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—42no—
589C42—1181no—
590C42—1181no—
591C42—1181no—
592C42—1181no—
593C42#1174568712yes—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23(C22⋊D59)⋊C411yescharacteristic
600C23(C22⋊D59)⋊C411yescharacteristic
601C23C2×#1174568711yescharacteristic
602Q8—21no—
603Q8—21no—
604D4—21no—
605D4—21no—
606D4—42no—
607D4—41no—
608D4—41no—
609D4—81no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—48no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—1181no—
633C2×C4—1181no—
634C2×C4—1181no—
635C2×C4—1181no—
636C2×C4—4721no—
637C2×C4—2362no—
638C2×C4(C22⋊D59)⋊C411yescharacteristic
639C2×C4(C22⋊D59)⋊C411yescharacteristic
640C2×C4C22×C4×D5911yescharacteristic
641C2×C4C2×D4×D5911yescharacteristic
642C2×C4#41×D5911yescharacteristic
643C2×C4C2×#1174568711yescharacteristic
644C2×C4#1427377211yescharacteristic
645C2×C4#1427377411yescharacteristic
646C8—41no—
647C8—41no—
648C8—1181no—
649C8—1181no—
650C8—1182no—
651C8—1181no—
652C8—1181no—
653C8—1181no—
654C8—1181no—
655C8—1181no—
656C8—1181no—
657C8—2361no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—42no—
666C22—42no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22#1683751612yes—
671C22C2×(C22⋊D59)⋊C411yescharacteristic
672C22#1683808311yescharacteristic
673C22#1683808911yescharacteristic
674C4—24no—
675C4—21no—
676C4—21no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—2361no—
682C4—2361no—
683C4—2361no—
684C4—2361no—
685C4C4×#1174568711yescharacteristic
686C4#1683788111yescharacteristic
687C4#1683804111yescharacteristic
688C4#1683805211yescharacteristic
689C2—21no—
690C2—22no—
691C2—21no—
692C2—41no—
693C2—81no—
694C2#2142709411yescharacteristic
695C2C2×#1683751611yescharacteristic
696C2#2143300211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1896C2
socleC22×C59C2×C4×D4
prime radicalC59×#525C22
cosocleC22×C4×C59C24
hypercenter#1896D59
hypocenterC59#22948
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1896

Complements

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

NH ≅ G/Ntype
3. #21432756C2semidirect
4. #21424843C2semidirect
5. #21424797C2semidirect
6. #21424747C2semidirect
7. #21424698C2semidirect
8. #21424693C2semidirect
9. #21424369C2semidirect
10. #21424300C2semidirect
11. #21423974C2semidirect
12. #21423934C2semidirect
13. C4×C22⋊(C59⋊C8)C2semidirect
14. C2×#16837162C2semidirect
19. #16837740C4semidirect
20. #16837740C4semidirect
21. #16837735C4semidirect
22. #16837730C4semidirect
23. #16837723C4semidirect
24. #16837723C4semidirect
25. #16837718C4semidirect
26. #16837713C4semidirect
93. #14273660C2×C4semidirect
94. #14273660C2×C4semidirect
95. #14273660C2×C4semidirect
96. #14273660C2×C4semidirect
97. #14273658C2×C4semidirect
98. #14273658C2×C4semidirect
99. #14273658C2×C4semidirect
100. #14273658C2×C4semidirect
107. #14273651C2×C4semidirect
108. #14273651C2×C4semidirect
109. #14273651C2×C4semidirect
110. #14273651C2×C4semidirect
111. #14273648C2×C4semidirect
112. #14273648C2×C4semidirect
113. #14273648C2×C4semidirect
114. #14273648C2×C4semidirect
415. C59#22948semidirect

Maximal subgroups

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

subgroupindex
#214340052
#214328232
#214327562
#214248432
#214247972
#214247472
#214246982
#214246932
#214243692
#214243002
#214239742
#214239342
C4×C22⋊(C59⋊C8)2
C2×#168371622
C59×#18962
#2294859