Finite Group Databasebeta

← #28610341

Subgroups — #28610341

Order 15104.

730 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21434009C211yesmaximal, characteristic
2#21432817C211yesmaximal, characteristic
3#21424846C211yesmaximal, characteristic, complemented
4#21424799C211yesmaximal, characteristic, complemented
5#21424744C211yesmaximal, characteristic, complemented
6#21424695C211yesmaximal, characteristic, complemented
7#21424692C211yesmaximal, characteristic, complemented
8#21424542C211yesmaximal, characteristic
9#21424370C211yesmaximal, characteristic, complemented
10#21424300C211yesmaximal, characteristic, complemented
11#21423976C211yesmaximal, characteristic, complemented
12#21423942C211yesmaximal, characteristic, complemented
13#21423864C211yesmaximal, characteristic, complemented
14#21423805C211yesmaximal, characteristic, complemented
15C59×#2924C211yesmaximal, characteristic, complemented
16C2×#14273733C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18#16837913C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20#16837743C411yescharacteristic, complemented
21#16837743C411yescharacteristic, complemented
22#16837737C411yescharacteristic, complemented
23#16837732C411yescharacteristic, complemented
24#16837726C411yescharacteristic, complemented
25#16837726C411yescharacteristic, complemented
26#16837720C411yescharacteristic, complemented
27#16837715C411yescharacteristic, complemented
28#16837477—21no—
29#16837476—21no—
30#16837470—21no—
31(C22⋊D59)⋊C8—21no—
32C2×#14273662C2211yescharacteristic
33C2×#14273662C2211yescharacteristic
34#16837438C2211yescharacteristic
35#16837438C2211yescharacteristic
36#16837428C2211yescharacteristic
37C2×#14273653C2211yescharacteristic
38C2×#14273653C2211yescharacteristic
39#16837396C2211yescharacteristic
40#16837396C2211yescharacteristic
41#16837368C2211yescharacteristic
42C2×C22⋊(C59⋊C8)C2211yescharacteristic
43#16837357C2211yescharacteristic
44C2×#14273637C2211yescharacteristic
45C2×C8×Dic59C2211yescharacteristic
46#16837166C2211yescharacteristic
47#16837166C2211yescharacteristic
48#16837163C2211yescharacteristic
49#16837163C2211yescharacteristic
50#16837161C2211yescharacteristic
51#16837161C2211yescharacteristic
52#16837161C2211yescharacteristic
53#16837161C2211yescharacteristic
54#16837156C2211yescharacteristic
55#16837156C2211yescharacteristic
56C2×#117×C59C2211yescharacteristic
57C59×#433—21no—
58C59×#433—21no—
59C59×#432—21no—
60C59×#431—21no—
61C59×#424C2211yescharacteristic
62C59×#424C2211yescharacteristic
63C59×#407C2211yescharacteristic
64C2×C22⋊C8×C59C2211yescharacteristic
65C59×#405C2211yescharacteristic
66C59×#405C2211yescharacteristic
67C2×#11745685C2311yescharacteristic
68#14273733—22no—
69#14273733—41no—
70C2×#11745664—21no—
71C2×#11745664—22no—
72C2×#11745664—41no—
73C2×#11745664C2311yescharacteristic
74C2×#11745664C2311yescharacteristic
75C2×#11745659—21no—
76C22×C59⋊C8—21no—
77C22×C59⋊C8C2311yescharacteristic
78C22×C59⋊C8C2311yescharacteristic
79C2×C8×D59—21no—
80#14273710—21no—
81#14273706C2×C411yescharacteristic
82#14273706C2×C411yescharacteristic
83#14273701C2×C411yescharacteristic
84#14273701C2×C411yescharacteristic
85#14273696—21no—
86C4×C22⋊D59—21no—
87C4×C22⋊D59—21no—
88#14273686—22no—
89#14273686—41no—
90#14273686C2311yescharacteristic
91C2×C4⋊Dic59—21no—
92C2×C22⋊Dic59—21no—
93C2×C4×Dic59C2311yescharacteristic
94C2×C4×Dic59C2311yescharacteristic
95#14273662—22no—
96#14273662—41no—
97#14273660C2×C411yescharacteristic
98#14273660C2×C411yescharacteristic
99#14273660C2×C411yescharacteristic
100#14273660C2×C411yescharacteristic
101#14273658C2×C411yescharacteristic
102#14273658C2×C411yescharacteristic
103#14273658C2×C411yescharacteristic
104#14273658C2×C411yescharacteristic
105Dic59⋊C8—21no—
106Dic59⋊C8—21no—
107#14273653—22no—
108#14273653—41no—
109#14273650C2×C411yescharacteristic
110#14273650C2×C411yescharacteristic
111#14273650C2×C411yescharacteristic
112#14273650C2×C411yescharacteristic
113#14273647C2×C411yescharacteristic
114#14273647C2×C411yescharacteristic
115#14273647C2×C411yescharacteristic
116#14273647C2×C411yescharacteristic
117C22⋊(C59⋊C8)C2×C411yescharacteristic
118C22⋊(C59⋊C8)C2×C411yescharacteristic
119C22⋊(C59⋊C8)C2×C411yescharacteristic
120C22⋊(C59⋊C8)C2×C411yescharacteristic
121(C2×D59)⋊C8—21no—
122(C2×D59)⋊C8—21no—
123#14273637—21no—
124#14273637—41no—
125C8×Dic59—21no—
126C8×Dic59—22no—
127C23×C4×C59C2311yescharacteristic
128C2×M16×C59C2311yescharacteristic
129C2×M16×C59C2311yescharacteristic
130C22×C8×C59C2311yescharacteristic
131C22×C8×C59C2311yescharacteristic
132#117×C59—21no—
133#117×C59—21no—
134#117×C59C2×C411yescharacteristic
135#117×C59C2×C411yescharacteristic
136#117×C59C2311yescharacteristic
137#117×C59C2311yescharacteristic
138C2×C4⋊C4×C59C2×C411yescharacteristic
139C2×C4⋊C4×C59C2×C411yescharacteristic
140C2×C22⋊C4×C59—21no—
141C2×C42×C59—21no—
142C4⋊C8×C59—21no—
143C4⋊C8×C59—21no—
144C4⋊C8×C59—21no—
145C4⋊C8×C59—21no—
146C22⋊C8×C59—21no—
147C22⋊C8×C59—21no—
148C22⋊C8×C59D411yescharacteristic
149C22⋊C8×C59D411yescharacteristic
150C22⋊C8×C59D411yescharacteristic
151C22⋊C8×C59D411yescharacteristic
152#97×C59—21no—
153#97×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—21no—
182M16×C59—21no—
183M16×C59—21no—
184M16×C59—21no—
185C2×C8×C59—21no—
186C2×C8×C59—21no—
187C2×C8×C59—21no—
188C2×C8×C59—21no—
189C2×C8×C59—21no—
190C2×C8×C59—21no—
191C2×C8×C59C2×D411yescharacteristic
192C2×C8×C59C2×D411yescharacteristic
193C2×C8×C59C2×D411yescharacteristic
194C2×C8×C59C2×D411yescharacteristic
195C4⋊C4×C59—21no—
196C4⋊C4×C59—21no—
197C4⋊C4×C59C22×C411yescharacteristic
198C4⋊C4×C59C22×C411yescharacteristic
199C4⋊C4×C59C22×C411yescharacteristic
200C4⋊C4×C59C22×C411yescharacteristic
201C22⋊C4×C59—21no—
202C22⋊C4×C59—21no—
203C22⋊C4×C59—21no—
204C22⋊C4×C59—21no—
205C42×C59—21no—
206C42×C59—21no—
207C42×C59—21no—
208C42×C59—21no—
209C22⋊Dic59—21no—
210C22⋊Dic59—21no—
211C22⋊Dic59—21no—
212C22⋊Dic59—42no—
213(C2×D59)⋊C4—21no—
214(C2×D59)⋊C4—21no—
215C4⋊Dic59—42no—
216C4⋊Dic59C22×C411yescharacteristic
217C4⋊Dic59C22×C411yescharacteristic
218Dic59⋊C4—21no—
219Dic59⋊C4—21no—
220C4×Dic59—21no—
221C4×Dic59—21no—
222C4×Dic59—21no—
223C4×Dic59—21no—
224C4×Dic59#4112yes—
225#11745664—21no—
226#11745664—21no—
227#11745664—21no—
228#11745664—42no—
229#11745664#4112yes—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8—21no—
233C2×C59⋊C8—21no—
234C2×C59⋊C8—21no—
235C2×C59⋊C8—21no—
236C2×C59⋊C8—42no—
237C2×C59⋊C8C22×C411yescharacteristic
238C2×C59⋊C8C22×C411yescharacteristic
239C2×C59⋊C8C22×C411yescharacteristic
240C2×C59⋊C8C22×C411yescharacteristic
241#11745659—42no—
242C8×D59—42no—
243C23×C59—21no—
244C23×C59—21no—
245C23×C59—41no—
246C23×C59—41no—
247C23×C59C4×D411yescharacteristic
248C23×C59C4×D411yescharacteristic
249C23×C59C2×#4111yescharacteristic
250C22×D59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—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—42no—
266C2×C4×C59—81no—
267C2×C4×C59C4×D411yescharacteristic
268C2×C4×C59C4×D411yescharacteristic
269C2×C4×C59C23×C411yescharacteristic
270C2×C4×C59C22×D411yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×C4×C59H(5,𝔽2)11yescharacteristic
274C2×C4×C592−1+411yescharacteristic
275C22⋊D59—42no—
276C22⋊D59—41no—
277C22⋊D59—41no—
278C22⋊D59—81no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—22no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288D236—21no—
289D236—21no—
290C4×D59—41no—
291C4×D59—41no—
292Dic118—21no—
293Dic118—21no—
294C8×C59—21no—
295C8×C59—21no—
296C8×C59—21no—
297C8×C59—21no—
298C8×C59—41no—
299C8×C59—41no—
300C59⋊C8—21no—
301C59⋊C8—21no—
302C59⋊C8—21no—
303C59⋊C8—21no—
304C59⋊C8—22no—
305C59⋊C8—41no—
306#22951—591nomaximal, Sylow
307C22×C59—21no—
308C22×C59—21no—
309C22×C59—21no—
310C22×C59—21no—
311C22×C59—21no—
312C22×C59—21no—
313C22×C59—21no—
314C22×C59—21no—
315C22×C59—81no—
316C22×C59—81no—
317C22×C59C2×C4×D411yescharacteristic
318C22×C59#55111yescharacteristic
319C22×C59#55211yescharacteristic
320C2×D59—41no—
321C2×D59—41no—
322C2×D59—41no—
323C4×C59—21no—
324C4×C59—21no—
325C4×C59—41no—
326C4×C59—41no—
327C4×C59—41no—
328C4×C59—41no—
329C4×C59C4×#4111yescharacteristic
330C4×C59#52011yescharacteristic
331C4×C59#54611yescharacteristic
332C4×C59#54711yescharacteristic
333Dic59—42no—
334Dic59—41no—
335Dic59—41no—
336Dic59—41no—
337Dic59—81no—
338#3091—591no—
339#2933—591no—
340#2924D5911yescharacteristic, complemented
341#1946—591no—
342#1937—591no—
343#1929—591no—
344#1922—591no—
345#1922—591no—
346#1897—591no—
347#1866—591no—
348#1855—591no—
349#1772—591no—
350#1765—591no—
351#1750—591no—
352#1733—591no—
353C2×C59—21no—
354C2×C59—21no—
355C2×C59—41no—
356C2×C59—41no—
357C2×C59#235911yescharacteristic
358C2×C59#295511yescharacteristic
359C2×C59#295711yescharacteristic
360D59—81no—
361C2×#131—591no—
362C22×M16—591no—
363#525—591no—
364C2×#117—591no—
365C2×#117C2×D5911yescharacteristic
366#485—591no—
367#485—591no—
368#484—591no—
369#483—591no—
370#482—591no—
371#482—591no—
372#481—591no—
373#480—591no—
374#436—1181no—
375#435—1181no—
376#435—1181no—
377C8×D4—1181no—
378#433—21no—
379#433—21no—
380#432—21no—
381#431—21no—
382C2×#108—591no—
383C2×#108—591no—
384#427—591no—
385#427—591no—
386#424—591no—
387#424C2×D5911yescharacteristic
388#424C2×D5911yescharacteristic
389C2×#104—591no—
390C2×#104—591no—
391#416—591no—
392#416—591no—
393#408—591no—
394#407C2×D5911yescharacteristic
395C2×C22⋊C8—591no—
396C2×C22⋊C8C2×D5911yescharacteristic
397#405—591no—
398#405C2×D5911yescharacteristic
399#405C2×D5911yescharacteristic
400C2×#97—591no—
401C2×C4×C8—591no—
402#341—591no—
403#341—591no—
404#339—591no—
405#339—591no—
406#339—591no—
407#339—591no—
408#339—591no—
409#339—591no—
410#336—591no—
411#336—591no—
412C59#2295111yescharacteristic, complemented, Sylow
413C2×#41—591no—
414C23×C4C22×D5911yescharacteristic
415#131—1182no—
416#131—2361no—
417C2×M16—591no—
418C2×M16—591no—
419C2×M16—1181no—
420C2×M16—1181no—
421C2×M16—1182no—
422C2×M16—2361no—
423C2×M16C22×D5911yescharacteristic
424C2×M16C22×D5911yescharacteristic
425C22×C8—591no—
426C22×C8—591no—
427C22×C8—1181no—
428C22×C8—1181no—
429C22×C8C22×D5911yescharacteristic
430C22×C8C22×D5911yescharacteristic
431#123—1181no—
432C22⋊Q8—591no—
433C22⋊Q8—591no—
434#121—591no—
435#121—591no—
436#120—1181no—
437C4×D4—1181no—
438C4×D4—1181no—
439#117—21no—
440#117—21no—
441#117—591no—
442#117—1182no—
443#117—2361no—
444#117C4×D5911yescharacteristic
445#117C4×D5911yescharacteristic
446#117C22×D5911yescharacteristic
447#117C22×D5911yescharacteristic
448C2×C4⋊C4—1181no—
449C2×C4⋊C4C4×D5911yescharacteristic
450C2×C4⋊C4C4×D5911yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—1181no—
453C2×C42—21no—
454C2×C42—591no—
455C2×C42—591no—
456#108—1182no—
457#108—2361no—
458#107—591no—
459#107—591no—
460#107—591no—
461#107—591no—
462#106—591no—
463#106—591no—
464#106—591no—
465#106—591no—
466C4⋊C8—21no—
467C4⋊C8—21no—
468C4⋊C8—21no—
469C4⋊C8—21no—
470C4⋊C8—1181no—
471C4⋊C8—1181no—
472#104—1182no—
473#104—2361no—
474#103—591no—
475#103—591no—
476#103—591no—
477#103—591no—
478#102—591no—
479#102—591no—
480#102—591no—
481#102—591no—
482C22⋊C8—21no—
483C22⋊C8—21no—
484C22⋊C8—591no—
485C22⋊C8—591no—
486C22⋊C8—591no—
487C22⋊C8—591no—
488C22⋊C8—1181no—
489C22⋊C8—1181no—
490C22⋊C8C22⋊D5911yescharacteristic
491C22⋊C8C22⋊D5911yescharacteristic
492C22⋊C8C22⋊D5911yescharacteristic
493C22⋊C8C22⋊D5911yescharacteristic
494#97—21no—
495#97—21no—
496#97—1181no—
497#97—2361no—
498C4×C8—21no—
499C4×C8—21no—
500C4×C8—1182no—
501C4×C8—1181no—
502C24#1174568511yescharacteristic
503#41—1181no—
504#41—1181no—
505#41—1181no—
506#41—1181no—
507C2×Q8—591no—
508C2×D4—591no—
509C2×D4—1181no—
510C2×D4—1181no—
511C2×D4—1181no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—1181no—
519C22×C4—1181no—
520C22×C4—1181no—
521C22×C4C2×C4×D5911yescharacteristic
522C22×C4C2×C4×D5911yescharacteristic
523C22×C4#1174568511yescharacteristic
524C22×C4C2×C22⋊D5911yescharacteristic
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C23×D5911yescharacteristic
527M16—21no—
528M16—21no—
529M16—21no—
530M16—21no—
531M16—592no—
532M16—1181no—
533M16—1181no—
534M16—1181no—
535M16—2362no—
536M16—2362no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—591no—
544C2×C8—591no—
545C2×C8—591no—
546C2×C8—591no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C2×C8—1181no—
552C2×C8—1181no—
553C2×C8—2362no—
554C2×C8—2362no—
555C2×C8C2×C22⋊D5911yescharacteristic
556C2×C8C2×C22⋊D5911yescharacteristic
557C2×C8C2×C22⋊D5911yescharacteristic
558C2×C8C2×C22⋊D5911yescharacteristic
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—591no—
562C4⋊C4—591no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—2362no—
566C4⋊C4C2×C4×D5911yescharacteristic
567C4⋊C4C2×C4×D5911yescharacteristic
568C4⋊C4C2×C4×D5911yescharacteristic
569C4⋊C4C2×C4×D5911yescharacteristic
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—1181no—
575C22⋊C4—1181no—
576C22⋊C4—1181no—
577C22⋊C4—1181no—
578C22⋊C4—1181no—
579C22⋊C4—2362no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—592no—
585C42—1181no—
586C42—1181no—
587C42—1181no—
588C42—1181no—
589C23—21no—
590C23—21no—
591C23—41no—
592C23—41no—
593C23—1181no—
594C23C4×C22⋊D5911yescharacteristic
595C23C4×C22⋊D5911yescharacteristic
596C23C2×#1174568511yescharacteristic
597Q8—1181no—
598Q8—1181no—
599D4—1181no—
600D4—1181no—
601D4—4721no—
602D4—2362no—
603D4—2361no—
604D4—2361no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
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—42no—
620C2×C4—81no—
621C2×C4—1182no—
622C2×C4—1181no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4C4×C22⋊D5911yescharacteristic
633C2×C4C4×C22⋊D5911yescharacteristic
634C2×C4C22×C4×D5911yescharacteristic
635C2×C4C22×C22⋊D5911yescharacteristic
636C2×C4#41×D5911yescharacteristic
637C2×C4#41×D5911yescharacteristic
638C2×C4#1427377311yescharacteristic
639C2×C4#1427377411yescharacteristic
640C8—21no—
641C8—21no—
642C8—21no—
643C8—21no—
644C8—41no—
645C8—41no—
646C8—1182no—
647C8—1181no—
648C8—1181no—
649C8—1181no—
650C8—1181no—
651C8—2361no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—81no—
661C22—81no—
662C22—2361no—
663C22—2361no—
664C22—2361no—
665C22C2×C4×C22⋊D5911yescharacteristic
666C22#1683807611yescharacteristic
667C22#1683808511yescharacteristic
668C4—21no—
669C4—21no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—4721no—
675C4—2362no—
676C4—2361no—
677C4—2361no—
678C4—2361no—
679C4#1683787011yescharacteristic
680C4#1683788211yescharacteristic
681C4#1683804011yescharacteristic
682C4#1683805111yescharacteristic
683C2—21no—
684C2—21no—
685C2—41no—
686C2—41no—
687C2—4721no—
688C2#2142708811yescharacteristic
689C2#2143299711yescharacteristic
690C2#2143301111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2924C2
socleC22×C59C2×C4×D4
prime radical#16837913C22
cosocleC22×C4×C59C24
hypercenter#2924D59
hypocenterC59#22951
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C22⋊C8 ◁ #2924

Complements

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

NH ≅ G/Ntype
3. #21424846C2semidirect
4. #21424799C2semidirect
5. #21424744C2semidirect
6. #21424695C2semidirect
7. #21424692C2semidirect
9. #21424370C2semidirect
10. #21424300C2semidirect
11. #21423976C2semidirect
12. #21423942C2semidirect
13. #21423864C2semidirect
14. #21423805C2semidirect
15. C59×#2924C2semidirect
20. #16837743C4semidirect
21. #16837743C4semidirect
22. #16837737C4semidirect
23. #16837732C4semidirect
24. #16837726C4semidirect
25. #16837726C4semidirect
26. #16837720C4semidirect
27. #16837715C4semidirect
340. #2924D59semidirect
412. C59#22951semidirect

Maximal subgroups

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

subgroupindex
#214340092
#214328172
#214248462
#214247992
#214247442
#214246952
#214246922
#214245422
#214243702
#214243002
#214239762
#214239422
#214238642
#214238052
C59×#29242
#2295159