Finite Group Databasebeta

← C59×#18355 #28430464

Subgroups — C59×#18355 #28430464

Order 15104.

972 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3505C211yesmaximal, characteristic
2C59×#3195C211yesmaximal, characteristic, complemented
3C59×#3193C211yesmaximal, characteristic, complemented
4C59×#2638C211yesmaximal, characteristic, complemented
5C59×#1612C212yesmaximal, complemented
6C59×#1609C212yesmaximal, complemented
7C59×#1606C212yesmaximal, complemented
8C59×#1603C212yesmaximal, complemented
9C59×#1511C211yesmaximal, characteristic, complemented
10C59×#1510C211yesmaximal, characteristic, complemented
11C59×#1465C211yesmaximal, characteristic, complemented
12C59×#553—22no—
13C59×#553—21no—
14C59×#552—21no—
15C59×#551—22no—
16C59×#548—21no—
17C59×#546—21no—
18C59×#539C2212yes—
19C59×#538C2212yes—
20C59×#534—21no—
21C59×#529—21no—
22C59×#525—21no—
23C2×C22⋊Q8×C59C2211yescharacteristic
24C2×C22⋊Q8×C59C2211yescharacteristic
25C2×#121×C59C2211yescharacteristic
26C59×#518—21no—
27C2×C4×D4×C59C2211yescharacteristic
28C59×#484—21no—
29C59×#483—21no—
30C59×#483C2212yescomplemented
31C59×#480C2212yes—
32C59×#470—22no—
33C59×#468—22no—
34C59×#451—21no—
35C59×#451C2212yescomplemented
36C59×#450—21no—
37C59×#448C2212yes—
38C59×#407C2211yescharacteristic
39C59×#407C2211yescharacteristic
40C59×#398C2211yescharacteristic, complemented
41C59×#397—21no—
42C59×#397C2211yescharacteristic, complemented
43C59×#395C2211yescharacteristic, complemented
44C59×#394—21no—
45C59×#393C2211yescharacteristic, complemented
46C59×#387—21no—
47C59×#385—21no—
48C59×#381C2211yescharacteristic
49C59×#328C2212yescomplemented
50C59×#328C2212yescomplemented
51C59×#327C2212yes—
52C59×#327C2212yes—
53C59×#324C2212yescomplemented
54C59×#323C2212yescomplemented
55C2×#41×C59—21no—
56C22×Q8×C59D411yescharacteristic
57C22×Q8×C59C2311yescharacteristic
58C22×D4×C59—21no—
59C22×D4×C59D411yescharacteristic
60C22×D4×C59D411yescharacteristic
61C23×C4×C59D411yescharacteristic
62C23×C4×C59C2311yescharacteristic
63C2×Q16×C59—22no—
64C2×SD16×C59—22no—
65C2×M16×C59—21no—
66C2×M16×C59—21no—
67#126×C59—22no—
68#126×C59—22no—
69#126×C59—22no—
70#125×C59—21no—
71#125×C59—22no—
72#124×C59—21no—
73#124×C59—22no—
74#123×C59—22no—
75#123×C59—22no—
76#123×C59—22no—
77#123×C59—22no—
78#123×C59—22no—
79C22⋊Q8×C59—21no—
80C22⋊Q8×C59—22no—
81C22⋊Q8×C59—21no—
82C22⋊Q8×C59—21no—
83C22⋊Q8×C59—21no—
84C22⋊Q8×C59—21no—
85C22⋊Q8×C59—21no—
86C22⋊Q8×C59—21no—
87C22⋊Q8×C59D412yes—
88C22⋊Q8×C59C2312yes—
89#121×C59—21no—
90#121×C59—22no—
91#121×C59—22no—
92#121×C59—22no—
93#121×C59—21no—
94#121×C59—21no—
95#121×C59D412yes—
96#121×C59C2312yes—
97#120×C59—22no—
98#120×C59—22no—
99C4×Q8×C59—21no—
100C4×D4×C59—22no—
101C4×D4×C59—22no—
102C4×D4×C59—22no—
103C4×D4×C59—21no—
104C4×D4×C59—21no—
105C4×D4×C59—21no—
106C4×D4×C59—21no—
107C4×D4×C59—21no—
108C4×D4×C59—22no—
109C4×D4×C59—22no—
110#117×C59—22no—
111#117×C59—21no—
112#117×C59—22no—
113C2×C4⋊C4×C59—21no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59D411yescharacteristic
118C2×C4⋊C4×C59D411yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C22⋊C4×C59—22no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C22⋊C4×C59C2311yescharacteristic
130C2×C42×C59D411yescharacteristic
131#107×C59—22no—
132#106×C59—22no—
133#103×C59—22no—
134#103×C59—22no—
135#103×C59—22no—
136#102×C59—22no—
137C22⋊C8×C59—21no—
138C22⋊C8×C59—21no—
139C22⋊C8×C59C2312yes—
140C22⋊C8×C59C2312yes—
141#95×C59—21no—
142#95×C59—21no—
143#95×C59—21no—
144#95×C59—21no—
145#95×C59—21no—
146#95×C59C2311yescharacteristic
147#95×C59C2311yescharacteristic
148C24×C59—21no—
149C24×C59C2×D411yescharacteristic
150C24×C59C2×D411yescharacteristic
151#41×C59—82no—
152C2×Q8×C59—21no—
153C2×Q8×C59—21no—
154C2×Q8×C59—21no—
155C2×Q8×C59—81no—
156C2×Q8×C59—81no—
157C2×Q8×C59C2×D412yes—
158C2×D4×C59—21no—
159C2×D4×C59—21no—
160C2×D4×C59—22no—
161C2×D4×C59—22no—
162C2×D4×C59—22no—
163C2×D4×C59—22no—
164C2×D4×C59—21no—
165C2×D4×C59—41no—
166C2×D4×C59—41no—
167C2×D4×C59—42no—
168C2×D4×C59—42no—
169C2×D4×C59—81no—
170C2×D4×C59C2×D412yes—
171C22×C4×C59—21no—
172C22×C4×C59—22no—
173C22×C4×C59—22no—
174C22×C4×C59—21no—
175C22×C4×C59—21no—
176C22×C4×C59—21no—
177C22×C4×C59—21no—
178C22×C4×C59—21no—
179C22×C4×C59—21no—
180C22×C4×C59—21no—
181C22×C4×C59—21no—
182C22×C4×C59—81no—
183C22×C4×C59—81no—
184C22×C4×C59C2×D411yescharacteristic
185C22×C4×C59C2×D411yescharacteristic
186C22×C4×C59C2×D411yescharacteristic
187C22×C4×C59C2×D411yescharacteristic
188C22×C4×C59C2×D411yescharacteristic
189C22×C4×C59C2×D411yescharacteristic
190C22×C4×C59C2×D411yescharacteristic
191C22×C4×C59C2×D411yescharacteristic
192C22×C4×C59C2411yescharacteristic
193Q16×C59—82no—
194SD16×C59—82no—
195M16×C59—81no—
196M16×C59—81no—
197C2×C8×C59—22no—
198C2×C8×C59—22no—
199C4⋊C4×C59—22no—
200C4⋊C4×C59—22no—
201C4⋊C4×C59—22no—
202C4⋊C4×C59—22no—
203C4⋊C4×C59—22no—
204C4⋊C4×C59—21no—
205C4⋊C4×C59—21no—
206C4⋊C4×C59—22no—
207C4⋊C4×C59—21no—
208C4⋊C4×C59—21no—
209C4⋊C4×C59—21no—
210C4⋊C4×C59—21no—
211C4⋊C4×C59—42no—
212C4⋊C4×C59—41no—
213C4⋊C4×C59—41no—
214C4⋊C4×C59—81no—
215C4⋊C4×C59C2×D412yes—
216C4⋊C4×C59C2×D412yes—
217C22⋊C4×C59—22no—
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—22no—
225C22⋊C4×C59—21no—
226C22⋊C4×C59—22no—
227C22⋊C4×C59—22no—
228C22⋊C4×C59—22no—
229C22⋊C4×C59—21no—
230C22⋊C4×C59—21no—
231C22⋊C4×C59—42no—
232C22⋊C4×C59—41no—
233C22⋊C4×C59—41no—
234C22⋊C4×C59—81no—
235C22⋊C4×C59—81no—
236C42×C59—22no—
237C42×C59—22no—
238C42×C59—21no—
239C42×C59—21no—
240C23×C59—21no—
241C23×C59—21no—
242C23×C59—21no—
243C23×C59—22no—
244C23×C59—21no—
245C23×C59—21no—
246C23×C59—41no—
247C23×C59—41no—
248C23×C59—41no—
249C23×C59—41no—
250C23×C59—42no—
251C23×C59—81no—
252C23×C59—81no—
253C23×C59#12011yescharacteristic
254C23×C59#12011yescharacteristic
255C23×C59C22×D411yescharacteristic
256Q8×C59—42no—
257Q8×C59—42no—
258Q8×C59—42no—
259Q8×C59—42no—
260D4×C59—42no—
261D4×C59—42no—
262D4×C59—42no—
263D4×C59—42no—
264D4×C59—44no—
265D4×C59—42no—
266D4×C59—42no—
267D4×C59—82no—
268D4×C59—82no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—22no—
272C2×C4×C59—21no—
273C2×C4×C59—22no—
274C2×C4×C59—22no—
275C2×C4×C59—21no—
276C2×C4×C59—21no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59—42no—
284C2×C4×C59—42no—
285C2×C4×C59—41no—
286C2×C4×C59—41no—
287C2×C4×C59—41no—
288C2×C4×C59—41no—
289C2×C4×C59—41no—
290C2×C4×C59—41no—
291C2×C4×C59—41no—
292C2×C4×C59—41no—
293C2×C4×C59—41no—
294C2×C4×C59—41no—
295C2×C4×C59—41no—
296C2×C4×C59—41no—
297C2×C4×C59—41no—
298C2×C4×C59—41no—
299C2×C4×C59—81no—
300C2×C4×C59—81no—
301C2×C4×C59—81no—
302C2×C4×C59—82no—
303C2×C4×C59—82no—
304C2×C4×C59#12011yescharacteristic
305C2×C4×C59#12011yescharacteristic
306C2×C4×C59C22×D411yescharacteristic
307C2×C4×C59C22×D411yescharacteristic
308C8×C59—42no—
309C8×C59—42no—
310#18355C5911yesmaximal, characteristic, direct product factor, Sylow
311C22×C59—21no—
312C22×C59—21no—
313C22×C59—21no—
314C22×C59—21no—
315C22×C59—21no—
316C22×C59—21no—
317C22×C59—21no—
318C22×C59—21no—
319C22×C59—42no—
320C22×C59—41no—
321C22×C59—42no—
322C22×C59—42no—
323C22×C59—41no—
324C22×C59—41no—
325C22×C59—42no—
326C22×C59—81no—
327C22×C59—81no—
328C22×C59—81no—
329C22×C59—162no—
330C22×C59C2×#12011yescharacteristic
331C22×C59#57511yescharacteristic
332C22×C59#57511yescharacteristic
333C4×C59—21no—
334C4×C59—21no—
335C4×C59—21no—
336C4×C59—21no—
337C4×C59—41no—
338C4×C59—42no—
339C4×C59—41no—
340C4×C59—42no—
341C4×C59—41no—
342C4×C59—42no—
343C4×C59—81no—
344C4×C59—81no—
345C4×C59—81no—
346C4×C59—81no—
347#3505C2×C5911yescharacteristic
348#3195C2×C5911yescharacteristic, complemented
349#3193C2×C5911yescharacteristic, complemented
350#2638C2×C5911yescharacteristic, complemented
351#1612C2×C5912yescomplemented
352#1609C2×C5912yescomplemented
353#1606C2×C5912yescomplemented
354#1603C2×C5912yescomplemented
355#1511C2×C5911yescharacteristic, complemented
356#1510C2×C5911yescharacteristic, complemented
357#1465C2×C5911yescharacteristic, complemented
358C2×C59—21no—
359C2×C59—21no—
360C2×C59—41no—
361C2×C59—41no—
362C2×C59—81no—
363C2×C59—82no—
364C2×C59#300511yescharacteristic
365C2×C59#302211yescharacteristic
366C2×C59#302611yescharacteristic
367#553—22no—
368#553—21no—
369#552—21no—
370#551—22no—
371#548—21no—
372#546—21no—
373#539C22×C5912yes—
374#538C22×C5912yes—
375#534—21no—
376#529—21no—
377#525—21no—
378C2×C22⋊Q8C22×C5911yescharacteristic
379C2×C22⋊Q8C22×C5911yescharacteristic
380C2×#121C22×C5911yescharacteristic
381#518—21no—
382C2×C4×D4C22×C5911yescharacteristic
383#484—21no—
384#483—21no—
385#483C22×C5912yescomplemented
386#480C22×C5912yes—
387#470—22no—
388#468—22no—
389#451—21no—
390#451C22×C5912yescomplemented
391#450—21no—
392#448C22×C5912yes—
393#407C22×C5911yescharacteristic
394#407C22×C5911yescharacteristic
395#398C22×C5911yescharacteristic, complemented
396#397—21no—
397#397C22×C5911yescharacteristic, complemented
398#395C22×C5911yescharacteristic, complemented
399#394—21no—
400#393C22×C5911yescharacteristic, complemented
401#387—21no—
402#385—21no—
403#381C22×C5911yescharacteristic
404#328C22×C5912yescomplemented
405#328C22×C5912yescomplemented
406#327C22×C5912yes—
407#327C22×C5912yes—
408#324C22×C5912yescomplemented
409#323C22×C5912yescomplemented
410C59#1835511yescharacteristic, direct product factor, Sylow
411C2×#41—21no—
412C22×Q8D4×C5911yescharacteristic
413C22×Q8C23×C5911yescharacteristic
414C22×D4—21no—
415C22×D4D4×C5911yescharacteristic
416C22×D4D4×C5911yescharacteristic
417C23×C4D4×C5911yescharacteristic
418C23×C4C23×C5911yescharacteristic
419C2×Q16—22no—
420C2×SD16—22no—
421C2×M16—21no—
422C2×M16—21no—
423#126—22no—
424#126—22no—
425#126—22no—
426#125—21no—
427#125—22no—
428#124—21no—
429#124—22no—
430#123—22no—
431#123—22no—
432#123—22no—
433#123—22no—
434#123—22no—
435C22⋊Q8—21no—
436C22⋊Q8—22no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8D4×C5912yes—
444C22⋊Q8C23×C5912yes—
445#121—21no—
446#121—22no—
447#121—22no—
448#121—22no—
449#121—21no—
450#121—21no—
451#121D4×C5912yes—
452#121C23×C5912yes—
453#120—22no—
454#120—22no—
455C4×Q8—21no—
456C4×D4—22no—
457C4×D4—22no—
458C4×D4—22no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—22no—
465C4×D4—22no—
466#117—22no—
467#117—21no—
468#117—22no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4D4×C5911yescharacteristic
474C2×C4⋊C4D4×C5911yescharacteristic
475C2×C4⋊C4C23×C5911yescharacteristic
476C2×C4⋊C4C23×C5911yescharacteristic
477C2×C22⋊C4—22no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4D4×C5911yescharacteristic
485C2×C22⋊C4C23×C5911yescharacteristic
486C2×C42D4×C5911yescharacteristic
487#107—22no—
488#106—22no—
489#103—22no—
490#103—22no—
491#103—22no—
492#102—22no—
493C22⋊C8—21no—
494C22⋊C8—21no—
495C22⋊C8C23×C5912yes—
496C22⋊C8C23×C5912yes—
497#95—21no—
498#95—21no—
499#95—21no—
500#95—21no—
501#95—21no—
502#95C23×C5911yescharacteristic
503#95C23×C5911yescharacteristic
504C24—21no—
505C24C2×D4×C5911yescharacteristic
506C24C2×D4×C5911yescharacteristic
507#41—82no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—81no—
512C2×Q8—81no—
513C2×Q8C2×D4×C5912yes—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—81no—
526C2×D4C2×D4×C5912yes—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4C2×D4×C5911yescharacteristic
541C22×C4C2×D4×C5911yescharacteristic
542C22×C4C2×D4×C5911yescharacteristic
543C22×C4C2×D4×C5911yescharacteristic
544C22×C4C2×D4×C5911yescharacteristic
545C22×C4C2×D4×C5911yescharacteristic
546C22×C4C2×D4×C5911yescharacteristic
547C22×C4C2×D4×C5911yescharacteristic
548C22×C4C24×C5911yescharacteristic
549Q16—82no—
550SD16—82no—
551M16—81no—
552M16—81no—
553C2×C8—22no—
554C2×C8—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—81no—
571C4⋊C4C2×D4×C5912yes—
572C4⋊C4C2×D4×C5912yes—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—21no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—21no—
587C22⋊C4—42no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—81no—
591C22⋊C4—81no—
592C42—22no—
593C42—22no—
594C42—21no—
595C42—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23#120×C5911yescharacteristic
610C23#120×C5911yescharacteristic
611C23C22×D4×C5911yescharacteristic
612Q8—42no—
613Q8—42no—
614Q8—42no—
615Q8—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—44no—
621D4—42no—
622D4—42no—
623D4—82no—
624D4—82no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—81no—
656C2×C4—81no—
657C2×C4—81no—
658C2×C4—82no—
659C2×C4—82no—
660C2×C4#120×C5911yescharacteristic
661C2×C4#120×C5911yescharacteristic
662C2×C4C22×D4×C5911yescharacteristic
663C2×C4C22×D4×C5911yescharacteristic
664C8—42no—
665C8—42no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—162no—
685C22C2×#120×C5911yescharacteristic
686C22C59×#57511yescharacteristic
687C22C59×#57511yescharacteristic
688C4—21no—
689C4—21no—
690C4—21no—
691C4—21no—
692C4—41no—
693C4—42no—
694C4—41no—
695C4—42no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—81no—
702C2—21no—
703C2—21no—
704C2—41no—
705C2—41no—
706C2—81no—
707C2—82no—
708C2C59×#300511yescharacteristic
709C2C59×#302211yescharacteristic
710C2C59×#302611yescharacteristic
subgroupG/H
center, socleC22×C59C2×#120
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC59×#3505C2
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
2. C59×#3195C2semidirect
3. C59×#3193C2semidirect
4. C59×#2638C2semidirect
5. C59×#1612C2semidirect
6. C59×#1609C2semidirect
7. C59×#1606C2semidirect
8. C59×#1603C2semidirect
9. C59×#1511C2semidirect
10. C59×#1510C2semidirect
11. C59×#1465C2semidirect
30. C59×#483C22semidirect
35. C59×#451C22semidirect
40. C59×#398C22semidirect
42. C59×#397C22semidirect
43. C59×#395C22semidirect
45. C59×#393C22semidirect
49. C59×#328C22semidirect
50. C59×#328C22semidirect
53. C59×#324C22semidirect
54. C59×#323C22semidirect
310. #18355C59direct (N × H)
348. #3195C2×C59semidirect
349. #3193C2×C59semidirect
350. #2638C2×C59semidirect
351. #1612C2×C59semidirect
352. #1609C2×C59semidirect
353. #1606C2×C59semidirect
354. #1603C2×C59semidirect
355. #1511C2×C59semidirect
356. #1510C2×C59semidirect
357. #1465C2×C59semidirect
385. #483C22×C59semidirect
390. #451C22×C59semidirect
395. #398C22×C59semidirect
397. #397C22×C59semidirect
398. #395C22×C59semidirect
400. #393C22×C59semidirect
404. #328C22×C59semidirect
405. #328C22×C59semidirect
408. #324C22×C59semidirect
409. #323C22×C59semidirect
410. C59#18355direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35052
C59×#31952
C59×#31932
C59×#26382
C59×#16122
C59×#16092
C59×#16062
C59×#16032
C59×#15112
C59×#15102
C59×#14652
#1835559