Finite Group Databasebeta

← C59×#18254 #28430363

Subgroups — C59×#18254 #28430363

Order 15104.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3537C211yesmaximal, characteristic, complemented
2C59×#3003C211yesmaximal, characteristic, complemented
3C2×C59×#447C211yesmaximal, characteristic, complemented
4C59×#2433C211yesmaximal, characteristic, complemented
5C59×#1600C214yesmaximal, complemented
6C59×#1595C214yesmaximal, complemented
7C59×#1507C211yesmaximal, characteristic, complemented
8C59×#1501C211yesmaximal, characteristic, complemented
9C59×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C59C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C59—21no—
12C22×D8×C59—21no—
13C59×#560—22no—
14C59×#553—21no—
15C59×#553—21no—
16D42×C59—22no—
17D42×C59—21no—
18D42×C59—21no—
19C59×#540—21no—
20C59×#538—21no—
21C59×#538C2212yescomplemented
22C59×#535—21no—
23C59×#534—21no—
24C59×#534C2212yescomplemented
25C2×#127×C59—21no—
26C59×#525C2211yescharacteristic
27C2×#121×C59C2211yescharacteristic
28C2×#121×C59C2211yescharacteristic
29C2×#120×C59—22no—
30C59×#450—21no—
31C59×#450C2212yescomplemented
32C59×#447—22no—
33C59×#447—21no—
34C59×#447C2214yescomplemented
35C59×#447C2212yescomplemented
36C59×#418—21no—
37C2×#102×C59—21no—
38C59×#407C2211yescharacteristic, complemented
39C2×C22⋊C8×C59C2211yescharacteristic, complemented
40C59×#392C2214yescomplemented
41C59×#390—21no—
42C4×C22⋊C4×C59C2211yescharacteristic, complemented
43C59×#328C2212yescomplemented
44C59×#327C2212yescomplemented
45C59×#327C2214yescomplemented
46C59×#323C2214yescomplemented
47C25×C59—21no—
48C2×#41×C59D411yescharacteristic, complemented
49C22×D4×C59—22no—
50C22×D4×C59—21no—
51C22×D4×C59—21no—
52C22×D4×C59—22no—
53C22×D4×C59—24no—
54C22×D4×C59—21no—
55C22×D4×C59—21no—
56C22×D4×C59—21no—
57C22×D4×C59—21no—
58C22×D4×C59—21no—
59C22×D4×C59—44no—
60C22×D4×C59D412yes—
61C22×D4×C59D411yescharacteristic
62C22×D4×C59D411yescharacteristic, complemented
63C22×D4×C59C2312yes—
64C23×C4×C59C2311yescharacteristic
65AGL(1,ℤ/8)×C59—44no—
66C2×SD16×C59—22no—
67C2×D8×C59—24no—
68C2×D8×C59—22no—
69C2×D8×C59—44no—
70C2×M16×C59—21no—
71C22×C8×C59—21no—
72#127×C59—22no—
73#127×C59—21no—
74#127×C59—44no—
75#126×C59—22no—
76#126×C59—22no—
77#125×C59—21no—
78#124×C59—22no—
79#123×C59—22no—
80#123×C59—21no—
81#123×C59—22no—
82#123×C59—22no—
83#123×C59—22no—
84C22⋊Q8×C59D411yescharacteristic, complemented
85C22⋊Q8×C59C2311yescharacteristic
86#121×C59—22no—
87#121×C59—21no—
88#121×C59—21no—
89#121×C59—22no—
90#121×C59—22no—
91#121×C59—22no—
92#121×C59—22no—
93#121×C59—21no—
94#121×C59—21no—
95#121×C59—21no—
96#121×C59—21no—
97#121×C59—21no—
98#121×C59—21no—
99#121×C59—22no—
100#121×C59D412yescomplemented
101#121×C59D411yescharacteristic, complemented
102#121×C59C2312yes—
103#121×C59C2311yescharacteristic
104#120×C59—22no—
105#120×C59—22no—
106#120×C59—22no—
107#120×C59—21no—
108#120×C59—22no—
109#120×C59—22no—
110#120×C59—22no—
111#120×C59—48no—
112C4×D4×C59—22no—
113C4×D4×C59—21no—
114C4×D4×C59—21no—
115C4×D4×C59—21no—
116C4×D4×C59—21no—
117C4×D4×C59—22no—
118#117×C59—21no—
119#117×C59D411yescharacteristic, complemented
120C2×C4⋊C4×C59D411yescharacteristic
121C2×C4⋊C4×C59D411yescharacteristic, complemented
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—24no—
125C2×C22⋊C4×C59C2312yes—
126C2×C42×C59—21no—
127#102×C59—24no—
128#102×C59—22no—
129#102×C59—22no—
130C22⋊C8×C59—21no—
131C22⋊C8×C59—21no—
132C22⋊C8×C59C2312yes—
133C22⋊C8×C59C2312yes—
134#95×C59C2312yes—
135C24×C59—22no—
136C24×C59—22no—
137C24×C59—21no—
138C24×C59—44no—
139C24×C59—44no—
140C24×C59—41no—
141C24×C59—41no—
142C24×C59—82no—
143C24×C59C2×D411yescharacteristic
144C24×C59C2×D412yes—
145#41×C59—42no—
146C2×Q8×C59C2×D411yescharacteristic
147C2×D4×C59—24no—
148C2×D4×C59—24no—
149C2×D4×C59—24no—
150C2×D4×C59—22no—
151C2×D4×C59—21no—
152C2×D4×C59—21no—
153C2×D4×C59—22no—
154C2×D4×C59—22no—
155C2×D4×C59—22no—
156C2×D4×C59—22no—
157C2×D4×C59—22no—
158C2×D4×C59—22no—
159C2×D4×C59—21no—
160C2×D4×C59—22no—
161C2×D4×C59—22no—
162C2×D4×C59—21no—
163C2×D4×C59—21no—
164C2×D4×C59—21no—
165C2×D4×C59—22no—
166C2×D4×C59—22no—
167C2×D4×C59—42no—
168C2×D4×C59—42no—
169C2×D4×C59—42no—
170C2×D4×C59—42no—
171C2×D4×C59—42no—
172C2×D4×C59—48no—
173C2×D4×C59—44no—
174C2×D4×C59—44no—
175C2×D4×C59—44no—
176C2×D4×C59—44no—
177C2×D4×C59—48no—
178C2×D4×C59—41no—
179C2×D4×C59—41no—
180C2×D4×C59—82no—
181C2×D4×C59—84no—
182C2×D4×C59—82no—
183C2×D4×C59—84no—
184C2×D4×C59—84no—
185C2×D4×C59C2×D411yescharacteristic
186C2×D4×C59C2×D412yes—
187C22×C4×C59—22no—
188C22×C4×C59—22no—
189C22×C4×C59—22no—
190C22×C4×C59—21no—
191C22×C4×C59—21no—
192C22×C4×C59—42no—
193C22×C4×C59C2×D411yescharacteristic
194C22×C4×C59C2×D411yescharacteristic
195C22×C4×C59C2×D411yescharacteristic
196C22×C4×C59C2×D412yes—
197C22×C4×C59C2×D411yescharacteristic
198C22×C4×C59C2×D411yescharacteristic
199C22×C4×C59C2411yescharacteristic
200SD16×C59—44no—
201D8×C59—48no—
202D8×C59—44no—
203M16×C59—42no—
204C2×C8×C59—22no—
205C2×C8×C59—22no—
206C2×C8×C59—42no—
207C4⋊C4×C59—22no—
208C4⋊C4×C59—22no—
209C4⋊C4×C59—21no—
210C4⋊C4×C59—21no—
211C4⋊C4×C59—21no—
212C4⋊C4×C59—21no—
213C4⋊C4×C59—21no—
214C4⋊C4×C59C2×D412yes—
215C4⋊C4×C59C2×D411yescharacteristic
216C4⋊C4×C59C2×D411yescharacteristic
217C22⋊C4×C59—24no—
218C22⋊C4×C59—22no—
219C22⋊C4×C59—22no—
220C22⋊C4×C59—22no—
221C22⋊C4×C59—22no—
222C22⋊C4×C59—22no—
223C22⋊C4×C59—21no—
224C22⋊C4×C59—21no—
225C22⋊C4×C59—21no—
226C22⋊C4×C59—22no—
227C22⋊C4×C59—21no—
228C22⋊C4×C59—22no—
229C22⋊C4×C59—22no—
230C22⋊C4×C59—22no—
231C22⋊C4×C59—21no—
232C22⋊C4×C59—48no—
233C42×C59—22no—
234C42×C59—21no—
235C42×C59—42no—
236C23×C59—22no—
237C23×C59—22no—
238C23×C59—24no—
239C23×C59—22no—
240C23×C59—22no—
241C23×C59—21no—
242C23×C59—24no—
243C23×C59—41no—
244C23×C59—44no—
245C23×C59—44no—
246C23×C59—44no—
247C23×C59—42no—
248C23×C59—42no—
249C23×C59—42no—
250C23×C59—42no—
251C23×C59—44no—
252C23×C59—42no—
253C23×C59—81no—
254C23×C59—81no—
255C23×C59—82no—
256C23×C59—82no—
257C23×C59—82no—
258C23×C59—82no—
259C23×C59—82no—
260C23×C59—82no—
261C23×C59—816no—
262C23×C59—82no—
263C23×C59#12011yescharacteristic
264C23×C59#12011yescharacteristic
265C23×C59C22×D411yescharacteristic
266Q8×C59—41no—
267D4×C59—24no—
268D4×C59—24no—
269D4×C59—42no—
270D4×C59—41no—
271D4×C59—42no—
272D4×C59—42no—
273D4×C59—44no—
274D4×C59—44no—
275D4×C59—42no—
276D4×C59—44no—
277D4×C59—42no—
278D4×C59—44no—
279D4×C59—42no—
280D4×C59—42no—
281D4×C59—81no—
282D4×C59—82no—
283D4×C59—82no—
284D4×C59—81no—
285D4×C59—82no—
286D4×C59—82no—
287D4×C59—82no—
288D4×C59—82no—
289D4×C59—82no—
290D4×C59—816no—
291C2×C4×C59—22no—
292C2×C4×C59—22no—
293C2×C4×C59—22no—
294C2×C4×C59—24no—
295C2×C4×C59—21no—
296C2×C4×C59—22no—
297C2×C4×C59—22no—
298C2×C4×C59—21no—
299C2×C4×C59—21no—
300C2×C4×C59—41no—
301C2×C4×C59—41no—
302C2×C4×C59—41no—
303C2×C4×C59—42no—
304C2×C4×C59—42no—
305C2×C4×C59—42no—
306C2×C4×C59—42no—
307C2×C4×C59—81no—
308C2×C4×C59—82no—
309C2×C4×C59—82no—
310C2×C4×C59#12011yescharacteristic
311C2×C4×C59#12011yescharacteristic
312C2×C4×C59C22×D411yescharacteristic
313C2×C4×C59C22×D411yescharacteristic
314C8×C59—42no—
315C8×C59—42no—
316#18254C5911yesmaximal, characteristic, direct product factor, Sylow
317C22×C59—21no—
318C22×C59—21no—
319C22×C59—21no—
320C22×C59—21no—
321C22×C59—21no—
322C22×C59—21no—
323C22×C59—21no—
324C22×C59—44no—
325C22×C59—48no—
326C22×C59—42no—
327C22×C59—42no—
328C22×C59—41no—
329C22×C59—42no—
330C22×C59—42no—
331C22×C59—41no—
332C22×C59—41no—
333C22×C59—44no—
334C22×C59—42no—
335C22×C59—42no—
336C22×C59—84no—
337C22×C59—84no—
338C22×C59—88no—
339C22×C59—88no—
340C22×C59—82no—
341C22×C59—82no—
342C22×C59—162no—
343C22×C59—164no—
344C22×C59#45312yes—
345C22×C59C2×#12011yescharacteristic
346C22×C59#57612yes—
347C4×C59—21no—
348C4×C59—21no—
349C4×C59—21no—
350C4×C59—44no—
351C4×C59—42no—
352C4×C59—41no—
353C4×C59—42no—
354C4×C59—41no—
355C4×C59—41no—
356C4×C59B(4,𝔽2)12yes—
357#3537C2×C5911yescharacteristic, complemented
358#3003C2×C5911yescharacteristic, complemented
359C2×#447C2×C5911yescharacteristic, complemented
360#2433C2×C5911yescharacteristic, complemented
361#1600C2×C5914yescomplemented
362#1595C2×C5914yescomplemented
363#1507C2×C5911yescharacteristic, complemented
364#1501C2×C5911yescharacteristic, complemented
365#1471C2×C5911yescharacteristic, complemented
366C2×C59—22no—
367C2×C59—22no—
368C2×C59—41no—
369C2×C59—84no—
370C2×C59—82no—
371C2×C59—82no—
372C2×C59—81no—
373C2×C59#300811yescharacteristic
374C2×C59C2×#45311yescharacteristic
375C2×C59C2×B(4,𝔽2)11yescharacteristic
376C23×D4C22×C5911yescharacteristic, complemented
377C2×AGL(1,ℤ/8)—21no—
378C22×D8—21no—
379#560—22no—
380#553—21no—
381#553—21no—
382D42—22no—
383D42—21no—
384D42—21no—
385#540—21no—
386#538—21no—
387#538C22×C5912yescomplemented
388#535—21no—
389#534—21no—
390#534C22×C5912yescomplemented
391C2×#127—21no—
392#525C22×C5911yescharacteristic
393C2×#121C22×C5911yescharacteristic
394C2×#121C22×C5911yescharacteristic
395C2×#120—22no—
396#450—21no—
397#450C22×C5912yescomplemented
398#447—22no—
399#447—21no—
400#447C22×C5912yescomplemented
401#447C22×C5914yescomplemented
402#418—21no—
403C2×#102—21no—
404#407C22×C5911yescharacteristic, complemented
405C2×C22⋊C8C22×C5911yescharacteristic, complemented
406#392C22×C5914yescomplemented
407#390—21no—
408C4×C22⋊C4C22×C5911yescharacteristic, complemented
409#328C22×C5912yescomplemented
410#327C22×C5912yescomplemented
411#327C22×C5914yescomplemented
412#323C22×C5914yescomplemented
413C59#1825411yescharacteristic, direct product factor, Sylow
414C25—21no—
415C2×#41D4×C5911yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C5912yes—
428C22×D4D4×C5911yescharacteristic
429C22×D4D4×C5911yescharacteristic, complemented
430C22×D4C23×C5912yes—
431C23×C4C23×C5911yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C5911yescharacteristic, complemented
452C22⋊Q8C23×C5911yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C5912yescomplemented
468#121D4×C5911yescharacteristic, complemented
469#121C23×C5912yes—
470#121C23×C5911yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C5911yescharacteristic, complemented
487C2×C4⋊C4D4×C5911yescharacteristic
488C2×C4⋊C4D4×C5911yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C5912yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C5912yes—
500C22⋊C8C23×C5912yes—
501#95C23×C5912yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C5911yescharacteristic
511C24C2×D4×C5912yes—
512#41—42no—
513C2×Q8C2×D4×C5911yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C5911yescharacteristic
553C2×D4C2×D4×C5912yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C5911yescharacteristic
561C22×C4C2×D4×C5911yescharacteristic
562C22×C4C2×D4×C5911yescharacteristic
563C22×C4C2×D4×C5912yes—
564C22×C4C2×D4×C5911yescharacteristic
565C22×C4C2×D4×C5911yescharacteristic
566C22×C4C24×C5911yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C5912yes—
582C4⋊C4C2×D4×C5911yescharacteristic
583C4⋊C4C2×D4×C5911yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C5911yescharacteristic
631C23#120×C5911yescharacteristic
632C23C22×D4×C5911yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C5911yescharacteristic
678C2×C4#120×C5911yescharacteristic
679C2×C4C22×D4×C5911yescharacteristic
680C2×C4C22×D4×C5911yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22C59×#45312yes—
711C22C2×#120×C5911yescharacteristic
712C22C59×#57612yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4C59×B(4,𝔽2)12yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C59×#300811yescharacteristic
731C2C2×C59×#45311yescharacteristic
732C2C2×C59×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C59C2×#120
commutator, Frattini, cosocleC22×C4C24×C59
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C59 ◁ C23×C4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3537C2semidirect
2. C59×#3003C2semidirect
3. C2×C59×#447C2semidirect
4. C59×#2433C2semidirect
5. C59×#1600C2semidirect
6. C59×#1595C2semidirect
7. C59×#1507C2semidirect
8. C59×#1501C2semidirect
9. C59×#1471C2semidirect
10. C23×D4×C59C22semidirect
21. C59×#538C22semidirect
24. C59×#534C22semidirect
31. C59×#450C22semidirect
34. C59×#447C22semidirect
35. C59×#447C22semidirect
38. C59×#407C22semidirect
39. C2×C22⋊C8×C59C22semidirect
40. C59×#392C22semidirect
42. C4×C22⋊C4×C59C22semidirect
43. C59×#328C22semidirect
44. C59×#327C22semidirect
45. C59×#327C22semidirect
46. C59×#323C22semidirect
48. C2×#41×C59D4semidirect
62. C22×D4×C59D4semidirect
84. C22⋊Q8×C59D4semidirect
100. #121×C59D4semidirect
101. #121×C59D4semidirect
119. #117×C59D4semidirect
121. C2×C4⋊C4×C59D4semidirect
316. #18254C59direct (N × H)
357. #3537C2×C59semidirect
358. #3003C2×C59semidirect
359. C2×#447C2×C59semidirect
360. #2433C2×C59semidirect
361. #1600C2×C59semidirect
362. #1595C2×C59semidirect
363. #1507C2×C59semidirect
364. #1501C2×C59semidirect
365. #1471C2×C59semidirect
376. C23×D4C22×C59semidirect
387. #538C22×C59semidirect
390. #534C22×C59semidirect
397. #450C22×C59semidirect
400. #447C22×C59semidirect
401. #447C22×C59semidirect
404. #407C22×C59semidirect
405. C2×C22⋊C8C22×C59semidirect
406. #392C22×C59semidirect
408. C4×C22⋊C4C22×C59semidirect
409. #328C22×C59semidirect
410. #327C22×C59semidirect
411. #327C22×C59semidirect
412. #323C22×C59semidirect
413. C59#18254direct (N × H)
415. C2×#41D4×C59semidirect
429. C22×D4D4×C59semidirect
451. C22⋊Q8D4×C59semidirect
467. #121D4×C59semidirect
468. #121D4×C59semidirect
486. #117D4×C59semidirect
488. C2×C4⋊C4D4×C59semidirect

Maximal subgroups

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

subgroupindex
C59×#35372
C59×#30032
C2×C59×#4472
C59×#24332
C59×#16002
C59×#15952
C59×#15072
C59×#15012
C59×#14712
#1825459