Finite Group Databasebeta

← #28596088

Subgroups — #28596088

Order 15104.

768 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#21434009C211yesmaximal, characteristic
2#21432799C211yesmaximal, characteristic
3#21424744C211yesmaximal, characteristic, complemented
4#21424744C211yesmaximal, characteristic, complemented
5#21424695C211yesmaximal, characteristic, complemented
6#21424695C211yesmaximal, characteristic, complemented
7#21424398C211yesmaximal, characteristic
8#21424301C211yesmaximal, characteristic, complemented
9#21424195C211yesmaximal, characteristic, complemented
10#21423981C211yesmaximal, characteristic, complemented
11#21423976C211yesmaximal, characteristic, complemented
12#21423942C211yesmaximal, characteristic, complemented
13#21423935C211yesmaximal, characteristic, complemented
14#21423877C211yesmaximal, characteristic, complemented
15C59×#2873C211yesmaximal, characteristic, complemented
16C2×#14273733C2211yescharacteristic
17#16837913C2211yescharacteristic
18#16837743C411yescharacteristic, complemented
19#16837743C411yescharacteristic, complemented
20#16837737C411yescharacteristic, complemented
21#16837732C411yescharacteristic, complemented
22#16837726C411yescharacteristic, complemented
23#16837726C411yescharacteristic, complemented
24#16837720C411yescharacteristic, complemented
25#16837715C411yescharacteristic, complemented
26#16837478—21no—
27#16837478—21no—
28#16837471—21no—
29#16837471—21no—
30C2×#14273662C2211yescharacteristic
31C2×#14273662C2211yescharacteristic
32#16837438C2211yescharacteristic
33#16837438C2211yescharacteristic
34#16837428C2211yescharacteristic
35C2×#14273653C2211yescharacteristic
36C2×#14273653C2211yescharacteristic
37#16837396C2211yescharacteristic
38#16837396C2211yescharacteristic
39#16837368C2211yescharacteristic
40#16837366C2211yescharacteristic
41C2×C22⋊(C59⋊C8)C2211yescharacteristic
42#16837357C2211yescharacteristic
43C2×#14273637C2211yescharacteristic
44C2×C8×Dic59C2211yescharacteristic
45C4×C22⋊Dic59C2211yescharacteristic
46#16837166C2211yescharacteristic
47#16837166C2211yescharacteristic
48#16837163C2211yescharacteristic
49#16837163C2211yescharacteristic
50#16837161C2211yescharacteristic
51#16837161C2211yescharacteristic
52#16837161C2211yescharacteristic
53#16837161C2211yescharacteristic
54#16837156C2211yescharacteristic
55#16837156C2211yescharacteristic
56C22×M16×C59C2211yescharacteristic
57C22×M16×C59C2211yescharacteristic
58C2×#117×C59C2211yescharacteristic
59C59×#405—21no—
60C59×#405—21no—
61C59×#405C2211yescharacteristic
62C59×#405C2211yescharacteristic
63C59×#405C2211yescharacteristic
64C59×#405C2211yescharacteristic
65C4×M16×C59—21no—
66C4×M16×C59—21no—
67C2×#11745685C2311yescharacteristic
68#14273733—22no—
69#14273733—22no—
70C2×#11745664C2311yescharacteristic
71C2×#11745664C2311yescharacteristic
72C2×#11745659—21no—
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75C2×C8×D59—21no—
76#14273710—21no—
77#14273706C2×C411yescharacteristic
78#14273706C2×C411yescharacteristic
79#14273701C2×C411yescharacteristic
80#14273701C2×C411yescharacteristic
81#14273696—21no—
82C4×C22⋊D59—21no—
83C4×C22⋊D59—21no—
84#14273686C2311yescharacteristic
85C2×C22⋊Dic59—21no—
86C2×C4×Dic59C2311yescharacteristic
87C2×C4×Dic59C2311yescharacteristic
88#14273662—22no—
89#14273662—22no—
90#14273660C2×C411yescharacteristic
91#14273660C2×C411yescharacteristic
92#14273660C2×C411yescharacteristic
93#14273660C2×C411yescharacteristic
94#14273658C2×C411yescharacteristic
95#14273658C2×C411yescharacteristic
96#14273658C2×C411yescharacteristic
97#14273658C2×C411yescharacteristic
98Dic59⋊C8—21no—
99Dic59⋊C8—21no—
100#14273653—22no—
101#14273653—22no—
102#14273650C2×C411yescharacteristic
103#14273650C2×C411yescharacteristic
104#14273650C2×C411yescharacteristic
105#14273650C2×C411yescharacteristic
106#14273647C2×C411yescharacteristic
107#14273647C2×C411yescharacteristic
108#14273647C2×C411yescharacteristic
109#14273647C2×C411yescharacteristic
110C22⋊(C59⋊C8)—21no—
111C22⋊(C59⋊C8)—21no—
112C22⋊(C59⋊C8)C2×C411yescharacteristic
113C22⋊(C59⋊C8)C2×C411yescharacteristic
114C22⋊(C59⋊C8)C2×C411yescharacteristic
115C22⋊(C59⋊C8)C2×C411yescharacteristic
116(C2×D59)⋊C8—21no—
117(C2×D59)⋊C8—21no—
118#14273637—21no—
119#14273637—22no—
120C8×Dic59—21no—
121C8×Dic59—22no—
122C59⋊#95—21no—
123C23×C4×C59C2311yescharacteristic
124C2×M16×C59—21no—
125C2×M16×C59—22no—
126C2×M16×C59—22no—
127C2×M16×C59—22no—
128C2×M16×C59—22no—
129C2×M16×C59D411yescharacteristic
130C2×M16×C59D411yescharacteristic
131C2×M16×C59D411yescharacteristic
132C2×M16×C59D411yescharacteristic
133C2×M16×C59C2311yescharacteristic
134C2×M16×C59C2311yescharacteristic
135C22×C8×C59—21no—
136C22×C8×C59C2311yescharacteristic
137C22×C8×C59C2311yescharacteristic
138#117×C59—21no—
139#117×C59—21no—
140#117×C59C2×C411yescharacteristic
141#117×C59C2×C411yescharacteristic
142#117×C59C2311yescharacteristic
143#117×C59C2311yescharacteristic
144C2×C4⋊C4×C59C2×C411yescharacteristic
145C2×C4⋊C4×C59C2×C411yescharacteristic
146C2×C22⋊C4×C59—21no—
147C2×C42×C59—21no—
148#97×C59—21no—
149#97×C59—21no—
150#97×C59—21no—
151#97×C59—21no—
152C4×C8×C59—21no—
153C4×C8×C59—21no—
154C4×C8×C59—21no—
155C4×C8×C59—21no—
156C24×C59#4111yescharacteristic
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59C22×C411yescharacteristic
164C22×C4×C59C22×C411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59#4111yescharacteristic
168C22×C4×C59C2411yescharacteristic
169C2×C22⋊D59—21no—
170C2×C22⋊D59—21no—
171C2×C22⋊D59—21no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174#11745685—21no—
175#11745685—21no—
176#11745685—21no—
177#11745685—21no—
178C2×D236C22×C411yescharacteristic
179C2×C4×D59—21no—
180C2×Dic118C22×C411yescharacteristic
181M16×C59—24no—
182M16×C59—21no—
183M16×C59—21no—
184M16×C59—22no—
185M16×C59—22no—
186M16×C59—22no—
187M16×C59—22no—
188M16×C59#4112yes—
189M16×C59#4112yes—
190C2×C8×C59—24no—
191C2×C8×C59—21no—
192C2×C8×C59—21no—
193C2×C8×C59—21no—
194C2×C8×C59—21no—
195C2×C8×C59C2×D411yescharacteristic
196C2×C8×C59C2×D411yescharacteristic
197C2×C8×C59C2×D411yescharacteristic
198C2×C8×C59C2×D411yescharacteristic
199C2×C8×C59#4112yes—
200C2×C8×C59#4112yes—
201C4⋊C4×C59—21no—
202C4⋊C4×C59—21no—
203C4⋊C4×C59C22×C411yescharacteristic
204C4⋊C4×C59C22×C411yescharacteristic
205C4⋊C4×C59C22×C411yescharacteristic
206C4⋊C4×C59C22×C411yescharacteristic
207C22⋊C4×C59—21no—
208C22⋊C4×C59—21no—
209C22⋊C4×C59—21no—
210C22⋊C4×C59—21no—
211C42×C59—21no—
212C42×C59—21no—
213C42×C59—21no—
214C42×C59—21no—
215C22⋊Dic59—21no—
216C22⋊Dic59—21no—
217C22⋊Dic59—21no—
218C22⋊Dic59—42no—
219(C2×D59)⋊C4—21no—
220(C2×D59)⋊C4—21no—
221C4⋊Dic59C22×C411yescharacteristic
222C4⋊Dic59C22×C411yescharacteristic
223Dic59⋊C4—21no—
224Dic59⋊C4—21no—
225C4×Dic59—21no—
226C4×Dic59—21no—
227C4×Dic59—21no—
228C4×Dic59—21no—
229C4×Dic59—21no—
230#11745664—21no—
231#11745664—21no—
232#11745664—21no—
233#11745664—21no—
234C2×C59⋊C8—21no—
235C2×C59⋊C8—21no—
236C2×C59⋊C8—21no—
237C2×C59⋊C8—21no—
238C2×C59⋊C8—21no—
239C2×C59⋊C8—21no—
240C2×C59⋊C8C22×C411yescharacteristic
241C2×C59⋊C8C22×C411yescharacteristic
242C2×C59⋊C8C22×C411yescharacteristic
243C2×C59⋊C8C22×C411yescharacteristic
244#11745659—42no—
245C8×D59—42no—
246C23×C59—21no—
247C23×C59—21no—
248C23×C59—41no—
249C23×C59—41no—
250C23×C59C4×D411yescharacteristic
251C23×C59C4×D411yescharacteristic
252C23×C59C2×#4111yescharacteristic
253C22×D59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—81no—
269C2×C4×C59—81no—
270C2×C4×C59C4×D411yescharacteristic
271C2×C4×C59C4×D411yescharacteristic
272C2×C4×C59C23×C411yescharacteristic
273C2×C4×C59C22×D411yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59C2×#4111yescharacteristic
278C22⋊D59—41no—
279C22⋊D59—41no—
280C22⋊D59—81no—
281C22⋊D59—81no—
282C2×Dic59—22no—
283C2×Dic59—21no—
284C2×Dic59—21no—
285C2×Dic59—21no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291D236—21no—
292D236—21no—
293C4×D59—41no—
294C4×D59—41no—
295Dic118—21no—
296Dic118—21no—
297C8×C59—21no—
298C8×C59—21no—
299C8×C59—22no—
300C8×C59—22no—
301C8×C59#12312yes—
302C8×C59#12312yes—
303C59⋊C8—21no—
304C59⋊C8—21no—
305C59⋊C8—21no—
306C59⋊C8—21no—
307C59⋊C8—41no—
308C59⋊C8—41no—
309#21594—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—21no—
318C22×C59—81no—
319C22×C59—81no—
320C22×C59C2×C4×D411yescharacteristic
321C22×C59#52911yescharacteristic
322C22×C59#52911yescharacteristic
323C2×D59—41no—
324C2×D59—41no—
325C2×D59—41no—
326C4×C59—21no—
327C4×C59—21no—
328C4×C59—41no—
329C4×C59—41no—
330C4×C59—41no—
331C4×C59—41no—
332C4×C59C4×#4111yescharacteristic
333C4×C59C4×#4111yescharacteristic
334C4×C59C2×#12311yescharacteristic
335C4×C59#52511yescharacteristic
336Dic59—42no—
337Dic59—41no—
338Dic59—41no—
339Dic59—41no—
340Dic59—81no—
341#3091—591no—
342#2930—591no—
343#2873D5911yescharacteristic, complemented
344#1929—591no—
345#1929—591no—
346#1922—591no—
347#1922—591no—
348#1871—591no—
349#1855—591no—
350#1826—591no—
351#1773—591no—
352#1772—591no—
353#1765—591no—
354#1764—591no—
355#1753—591no—
356C2×C59—21no—
357C2×C59—21no—
358C2×C59—41no—
359C2×C59—41no—
360C2×C59C4×#12311yescharacteristic
361C2×C59#295611yescharacteristic
362C2×C59#295711yescharacteristic
363D59—81no—
364C2×#131—591no—
365C22×M16C2×D5911yescharacteristic
366C22×M16C2×D5911yescharacteristic
367#525—591no—
368C2×#117C2×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#436—1181no—
379#435—1181no—
380#435—1181no—
381C2×#108—591no—
382C2×#108—591no—
383#427—591no—
384#427—591no—
385#424—591no—
386C2×#104—591no—
387C2×#104—591no—
388#416—591no—
389#416—591no—
390#408—591no—
391#407—591no—
392C2×C22⋊C8—591no—
393#405—21no—
394#405—21no—
395#405—591no—
396#405C2×D5911yescharacteristic
397#405C2×D5911yescharacteristic
398#405C2×D5911yescharacteristic
399#405C2×D5911yescharacteristic
400C4×M16—21no—
401C4×M16—21no—
402C2×#97—591no—
403C2×C4×C8—591no—
404C4×C22⋊C4—591no—
405#341—591no—
406#341—591no—
407#339—591no—
408#339—591no—
409#339—591no—
410#339—591no—
411#339—591no—
412#339—591no—
413#336—591no—
414#336—591no—
415C59#2159411yescharacteristic, complemented, Sylow
416C2×#41—591no—
417C23×C4C22×D5911yescharacteristic
418#131—1182no—
419#131—1182no—
420C2×M16—21no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—22no—
424C2×M16—22no—
425C2×M16—591no—
426C2×M16—591no—
427C2×M16—1181no—
428C2×M16C22⋊D5911yescharacteristic
429C2×M16C22⋊D5911yescharacteristic
430C2×M16C22⋊D5911yescharacteristic
431C2×M16C22⋊D5911yescharacteristic
432C2×M16C22×D5911yescharacteristic
433C2×M16C22×D5911yescharacteristic
434C22×C8—21no—
435C22×C8—591no—
436C22×C8—591no—
437C22×C8—1181no—
438C22×C8C22×D5911yescharacteristic
439C22×C8C22×D5911yescharacteristic
440#123—1181no—
441C22⋊Q8—591no—
442C22⋊Q8—591no—
443#121—591no—
444#121—591no—
445#120—1181no—
446C4×D4—1181no—
447C4×D4—1181no—
448#117—21no—
449#117—21no—
450#117—591no—
451#117C4×D5911yescharacteristic
452#117C4×D5911yescharacteristic
453#117C22×D5911yescharacteristic
454#117C22×D5911yescharacteristic
455C2×C4⋊C4C4×D5911yescharacteristic
456C2×C4⋊C4C4×D5911yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1181no—
459C2×C42—21no—
460C2×C42—591no—
461C2×C42—591no—
462#108—1182no—
463#108—1182no—
464#107—591no—
465#107—591no—
466#107—591no—
467#107—591no—
468#106—591no—
469#106—591no—
470#106—591no—
471#106—591no—
472C4⋊C8—1181no—
473C4⋊C8—1181no—
474#104—1182no—
475#104—1182no—
476#103—591no—
477#103—591no—
478#103—591no—
479#103—591no—
480#102—591no—
481#102—591no—
482#102—591no—
483#102—591no—
484C22⋊C8—591no—
485C22⋊C8—591no—
486C22⋊C8—591no—
487C22⋊C8—591no—
488C22⋊C8—1181no—
489C22⋊C8—1181no—
490C22⋊C8—1181no—
491C22⋊C8—1181no—
492#97—21no—
493#97—21no—
494#97—21no—
495#97—21no—
496#97—1182no—
497#97—1181no—
498C4×C8—21no—
499C4×C8—21no—
500C4×C8—21no—
501C4×C8—21no—
502C4×C8—1182no—
503C4×C8—1181no—
504#95—1181no—
505C24#1174568511yescharacteristic
506#41—1181no—
507#41—1181no—
508#41—1181no—
509#41—1181no—
510C2×Q8—591no—
511C2×D4—591no—
512C2×D4—1181no—
513C2×D4—1181no—
514C2×D4—1181no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4C2×C4×D5911yescharacteristic
525C22×C4C2×C4×D5911yescharacteristic
526C22×C4#1174568511yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C23×D5911yescharacteristic
530M16—24no—
531M16—21no—
532M16—21no—
533M16—22no—
534M16—22no—
535M16—22no—
536M16—22no—
537M16—1181no—
538M16—1181no—
539M16—1181no—
540M16—1181no—
541M16—2362no—
542M16#1174568512yes—
543M16#1174568512yes—
544C2×C8—24no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
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—2362no—
560C2×C8#1174568512yes—
561C2×C8#1174568512yes—
562C2×C8C2×C22⋊D5911yescharacteristic
563C2×C8C2×C22⋊D5911yescharacteristic
564C2×C8C2×C22⋊D5911yescharacteristic
565C2×C8C2×C22⋊D5911yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—591no—
569C4⋊C4—591no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C4⋊C4C2×C4×D5911yescharacteristic
573C4⋊C4C2×C4×D5911yescharacteristic
574C4⋊C4C2×C4×D5911yescharacteristic
575C4⋊C4C2×C4×D5911yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—1181no—
581C22⋊C4—1181no—
582C22⋊C4—1181no—
583C22⋊C4—1181no—
584C22⋊C4—1181no—
585C22⋊C4—2362no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—1181no—
591C42—1181no—
592C42—1181no—
593C42—1181no—
594C42—1181no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—41no—
599C23—1181no—
600C23C4×C22⋊D5911yescharacteristic
601C23C4×C22⋊D5911yescharacteristic
602C23C2×#1174568511yescharacteristic
603Q8—1181no—
604Q8—1181no—
605D4—1181no—
606D4—1181no—
607D4—4721no—
608D4—4721no—
609D4—2361no—
610D4—2361no—
611C2×C4—21no—
612C2×C4—21no—
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—21no—
624C2×C4—21no—
625C2×C4—81no—
626C2×C4—81no—
627C2×C4—1182no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1181no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4C4×C22⋊D5911yescharacteristic
639C2×C4C4×C22⋊D5911yescharacteristic
640C2×C4C22×C4×D5911yescharacteristic
641C2×C4C22×C22⋊D5911yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C2×C4C2×#1174568511yescharacteristic
644C2×C4C2×#1174568511yescharacteristic
645C2×C4C2×#1174568511yescharacteristic
646C8—21no—
647C8—21no—
648C8—22no—
649C8—22no—
650C8—1181no—
651C8—1181no—
652C8—1181no—
653C8—1181no—
654C8—2361no—
655C8—2361no—
656C8#1427371012yes—
657C8#1427371012yes—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—81no—
667C22—81no—
668C22—2361no—
669C22—2361no—
670C22—2361no—
671C22C2×C4×C22⋊D5911yescharacteristic
672C22#1683793611yescharacteristic
673C22#1683793611yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—4721no—
681C4—2362no—
682C4—2361no—
683C4—2361no—
684C4—2361no—
685C4C4×#1174568511yescharacteristic
686C4C4×#1174568511yescharacteristic
687C4C2×#1427371011yescharacteristic
688C4#1683791311yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—4721no—
694C2C4×#1427371011yescharacteristic
695C2#2143300311yescharacteristic
696C2#2143301111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2873C2
socleC22×C59C2×C4×D4
prime radical#16837913C22
cosocleC22×C4×C59C24
hypercenter#2873D59
hypocenterC59#21594
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C22×M16 ◁ #2873

Complements

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

NH ≅ G/Ntype
3. #21424744C2semidirect
4. #21424744C2semidirect
5. #21424695C2semidirect
6. #21424695C2semidirect
8. #21424301C2semidirect
9. #21424195C2semidirect
10. #21423981C2semidirect
11. #21423976C2semidirect
12. #21423942C2semidirect
13. #21423935C2semidirect
14. #21423877C2semidirect
15. C59×#2873C2semidirect
18. #16837743C4semidirect
19. #16837743C4semidirect
20. #16837737C4semidirect
21. #16837732C4semidirect
22. #16837726C4semidirect
23. #16837726C4semidirect
24. #16837720C4semidirect
25. #16837715C4semidirect
343. #2873D59semidirect
415. C59#21594semidirect

Maximal subgroups

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

subgroupindex
#214340092
#214327992
#214247442
#214246952
#214243982
#214243012
#214241952
#214239812
#214239762
#214239422
#214239352
#214238772
C59×#28732
#2159459