Finite Group Databasebeta

← C59×#32612 #28444721

Subgroups — C59×#32612 #28444721

Order 15104.

768 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2592C211yesmaximal, characteristic, complemented
2C59×#2538C211yesmaximal, characteristic, complemented
3C59×#2093C211yesmaximal, characteristic, complemented
4C59×#2072C211yesmaximal, characteristic, complemented
5C59×#2068C211yesmaximal, characteristic, complemented
6C59×#2054C211yesmaximal, characteristic
7C59×#2042C211yesmaximal, characteristic, complemented
8C59×#2012C211yesmaximal, characteristic
9C59×#1985C211yesmaximal, characteristic, complemented
10C59×#1973C211yesmaximal, characteristic, complemented
11C59×#1936C211yesmaximal, characteristic, complemented
12C59×#1925C211yesmaximal, characteristic, complemented
13C59×#1921C211yesmaximal, characteristic, complemented
14C59×#1879C211yesmaximal, characteristic
15C59×#1877C211yesmaximal, characteristic, complemented
16C22×SD16×C59C2211yescharacteristic
17C22×D8×C59C2211yescharacteristic
18C2×#124×C59C2211yescharacteristic
19C2×C22⋊Q8×C59—21no—
20C2×C4×Q8×C59C2211yescharacteristic
21C2×C4×D4×C59C2211yescharacteristic
22C2×#107×C59C2211yescharacteristic
23C2×#107×C59C2211yescharacteristic
24C2×C4⋊C8×C59C2211yescharacteristic
25C2×#103×C59C2211yescharacteristic
26C2×#103×C59C2211yescharacteristic
27C2×#103×C59C2211yescharacteristic
28C2×#102×C59C2211yescharacteristic
29C2×#102×C59C2211yescharacteristic
30C2×#102×C59C2211yescharacteristic
31C2×#102×C59C2211yescharacteristic
32C2×#102×C59C2211yescharacteristic
33C2×#97×C59C2211yescharacteristic
34C59×#397—21no—
35C59×#396—21no—
36C59×#396—21no—
37C59×#393—21no—
38C59×#391C2211yescharacteristic
39C59×#391C2211yescharacteristic
40C59×#390C2211yescharacteristic
41C59×#390C2211yescharacteristic
42C59×#390C2211yescharacteristic
43C59×#390C2211yescharacteristic
44C59×#389C2211yescharacteristic
45C59×#389C2211yescharacteristic
46C59×#388—21no—
47C59×#388—21no—
48C59×#384C2211yescharacteristic
49C59×#380—21no—
50C4×C4⋊C4×C59C2211yescharacteristic
51C59×#340C2211yescharacteristic
52C59×#340C2211yescharacteristic
53C59×#340C2211yescharacteristic
54C59×#340C2211yescharacteristic
55C59×#336C2211yescharacteristic
56C59×#336C2211yescharacteristic
57C59×#336C2211yescharacteristic
58C59×#336C2211yescharacteristic
59C22×Q8×C59D411yescharacteristic
60C22×Q8×C59C2311yescharacteristic
61C22×D4×C59C2311yescharacteristic
62C22×D4×C59C2311yescharacteristic
63C23×C4×C59—21no—
64C2×SD16×C59—22no—
65C2×SD16×C59—22no—
66C2×SD16×C59—41no—
67C2×D8×C59—22no—
68C2×D8×C59—41no—
69C2×D8×C59—41no—
70C22×C8×C59C2311yescharacteristic
71C22×C8×C59C2311yescharacteristic
72C22×C8×C59C2311yescharacteristic
73C22×C8×C59C2311yescharacteristic
74#124×C59—41no—
75#124×C59—41no—
76C22⋊Q8×C59—44no—
77C4×Q8×C59—41no—
78C4×Q8×C59—41no—
79C4×D4×C59—41no—
80C4×D4×C59—41no—
81C2×C4⋊C4×C59—21no—
82C2×C4⋊C4×C59—21no—
83C2×C4⋊C4×C59—21no—
84C2×C4⋊C4×C59—21no—
85C2×C4⋊C4×C59D411yescharacteristic
86C2×C4⋊C4×C59D411yescharacteristic
87C2×C4⋊C4×C59D411yescharacteristic
88C2×C4⋊C4×C59C2311yescharacteristic
89C2×C4⋊C4×C59C2311yescharacteristic
90C2×C4⋊C4×C59C2311yescharacteristic
91C2×C4⋊C4×C59C2311yescharacteristic
92C2×C4⋊C4×C59C2311yescharacteristic
93C2×C22⋊C4×C59—21no—
94C2×C22⋊C4×C59—21no—
95C2×C22⋊C4×C59—21no—
96C2×C22⋊C4×C59—21no—
97C2×C22⋊C4×C59—21no—
98C2×C22⋊C4×C59—21no—
99C2×C22⋊C4×C59—21no—
100C2×C22⋊C4×C59—21no—
101C2×C22⋊C4×C59—21no—
102C2×C22⋊C4×C59—21no—
103C2×C22⋊C4×C59—21no—
104C2×C42×C59—21no—
105C2×C42×C59C2311yescharacteristic
106C2×C42×C59C2311yescharacteristic
107C2×C42×C59C2311yescharacteristic
108#107×C59—22no—
109#107×C59—41no—
110C4⋊C8×C59—41no—
111#103×C59—41no—
112#103×C59—41no—
113#103×C59—41no—
114#102×C59—22no—
115#102×C59—22no—
116#102×C59—41no—
117#102×C59—41no—
118#102×C59—41no—
119#97×C59—41no—
120#95×C59—21no—
121#95×C59—21no—
122#95×C59—21no—
123#95×C59—21no—
124#95×C59—21no—
125#95×C59—21no—
126#95×C59—21no—
127C24×C59—21no—
128C24×C59—21no—
129C2×Q8×C59—22no—
130C2×Q8×C59—21no—
131C2×Q8×C59—21no—
132C2×Q8×C59—21no—
133C2×Q8×C59—21no—
134C2×Q8×C59—21no—
135C2×Q8×C59—21no—
136C2×Q8×C59—41no—
137C2×Q8×C59—41no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59#4112yes—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—42no—
157C22×C4×C59—42no—
158C22×C4×C59—42no—
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2411yescharacteristic
166SD16×C59—44no—
167D8×C59—44no—
168C2×C8×C59—21no—
169C2×C8×C59—21no—
170C2×C8×C59—21no—
171C2×C8×C59—21no—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59—21no—
176C2×C8×C59—21no—
177C2×C8×C59—21no—
178C2×C8×C59—21no—
179C2×C8×C59#4112yes—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—41no—
191C4⋊C4×C59—41no—
192C4⋊C4×C59—41no—
193C4⋊C4×C59—42no—
194C4⋊C4×C59—42no—
195C4⋊C4×C59—42no—
196C4⋊C4×C59—81no—
197C22⋊C4×C59—42no—
198C22⋊C4×C59—42no—
199C22⋊C4×C59—42no—
200C22⋊C4×C59—42no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—42no—
203C22⋊C4×C59—42no—
204C22⋊C4×C59—81no—
205C22⋊C4×C59—81no—
206C22⋊C4×C59—81no—
207C22⋊C4×C59—81no—
208C42×C59—21no—
209C42×C59—21no—
210C42×C59—21no—
211C42×C59—21no—
212C42×C59—21no—
213C42×C59—21no—
214C42×C59—81no—
215C23×C59—22no—
216C23×C59—41no—
217C23×C59—41no—
218C23×C59—41no—
219C23×C59—41no—
220C23×C59—41no—
221C23×C59—41no—
222C23×C59—41no—
223C23×C59—41no—
224C23×C59—41no—
225C23×C59—41no—
226C23×C59—41no—
227C23×C59—41no—
228C23×C59—41no—
229C23×C59C22×D411yescharacteristic
230Q8×C59—44no—
231Q8×C59—41no—
232Q8×C59—41no—
233Q8×C59—41no—
234Q8×C59—41no—
235D4×C59—22no—
236D4×C59—22no—
237D4×C59—41no—
238D4×C59—41no—
239D4×C59—41no—
240D4×C59—41no—
241D4×C59—41no—
242D4×C59—41no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—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—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59—41no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—84no—
279C2×C4×C59AGL(1,ℤ/8)12yes—
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×C4×C59H(5,𝔽2)11yescharacteristic
284C2×C4×C59H(5,𝔽2)11yescharacteristic
285C2×C4×C592−1+411yescharacteristic
286C8×C59—22no—
287C8×C59—41no—
288C8×C59—41no—
289C8×C59—41no—
290#32612C5911yesmaximal, characteristic, direct product factor, Sylow
291C22×C59—42no—
292C22×C59—42no—
293C22×C59—42no—
294C22×C59—81no—
295C22×C59—81no—
296C22×C59—81no—
297C22×C59—81no—
298C22×C59—81no—
299C22×C59—81no—
300C22×C59—81no—
301C22×C59—81no—
302C22×C59—81no—
303C22×C59—81no—
304C22×C59—81no—
305C22×C59#53411yescharacteristic
306C22×C59#54811yescharacteristic
307C22×C59#55011yescharacteristic
308C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
309C22×C59#57511yescharacteristic
310C22×C59#57611yescharacteristic
311C22×C59#57811yescharacteristic
312C4×C59—22no—
313C4×C59—41no—
314C4×C59—41no—
315C4×C59—41no—
316C4×C59—41no—
317C4×C59—41no—
318C4×C59—81no—
319C4×C59—81no—
320C4×C59—81no—
321C4×C59—81no—
322C4×C59—81no—
323C4×C59—81no—
324C4×C59#53811yescharacteristic
325C4×C59#54211yescharacteristic
326C4×C59#55111yescharacteristic
327C4×C59#56211yescharacteristic
328#2592C2×C5911yescharacteristic, complemented
329#2538C2×C5911yescharacteristic, complemented
330#2093C2×C5911yescharacteristic, complemented
331#2072C2×C5911yescharacteristic, complemented
332#2068C2×C5911yescharacteristic, complemented
333#2054C2×C5911yescharacteristic
334#2042C2×C5911yescharacteristic, complemented
335#2012C2×C5911yescharacteristic
336#1985C2×C5911yescharacteristic, complemented
337#1973C2×C5911yescharacteristic, complemented
338#1936C2×C5911yescharacteristic, complemented
339#1925C2×C5911yescharacteristic, complemented
340#1921C2×C5911yescharacteristic, complemented
341#1879C2×C5911yescharacteristic
342#1877C2×C5911yescharacteristic, complemented
343C2×C59—82no—
344C2×C59—161no—
345C2×C59#273011yescharacteristic
346C2×C59#319411yescharacteristic
347C2×C59#320311yescharacteristic
348C2×C59#336711yescharacteristic
349C2×C59#337011yescharacteristic
350C2×C59#339911yescharacteristic
351C2×C59#340211yescharacteristic
352C22×SD16C22×C5911yescharacteristic
353C22×D8C22×C5911yescharacteristic
354C2×#124C22×C5911yescharacteristic
355C2×C22⋊Q8—21no—
356C2×C4×Q8C22×C5911yescharacteristic
357C2×C4×D4C22×C5911yescharacteristic
358C2×#107C22×C5911yescharacteristic
359C2×#107C22×C5911yescharacteristic
360C2×C4⋊C8C22×C5911yescharacteristic
361C2×#103C22×C5911yescharacteristic
362C2×#103C22×C5911yescharacteristic
363C2×#103C22×C5911yescharacteristic
364C2×#102C22×C5911yescharacteristic
365C2×#102C22×C5911yescharacteristic
366C2×#102C22×C5911yescharacteristic
367C2×#102C22×C5911yescharacteristic
368C2×#102C22×C5911yescharacteristic
369C2×#97C22×C5911yescharacteristic
370#397—21no—
371#396—21no—
372#396—21no—
373#393—21no—
374#391C22×C5911yescharacteristic
375#391C22×C5911yescharacteristic
376#390C22×C5911yescharacteristic
377#390C22×C5911yescharacteristic
378#390C22×C5911yescharacteristic
379#390C22×C5911yescharacteristic
380#389C22×C5911yescharacteristic
381#389C22×C5911yescharacteristic
382#388—21no—
383#388—21no—
384#384C22×C5911yescharacteristic
385#380—21no—
386C4×C4⋊C4C22×C5911yescharacteristic
387#340C22×C5911yescharacteristic
388#340C22×C5911yescharacteristic
389#340C22×C5911yescharacteristic
390#340C22×C5911yescharacteristic
391#336C22×C5911yescharacteristic
392#336C22×C5911yescharacteristic
393#336C22×C5911yescharacteristic
394#336C22×C5911yescharacteristic
395C59#3261211yescharacteristic, direct product factor, Sylow
396C22×Q8D4×C5911yescharacteristic
397C22×Q8C23×C5911yescharacteristic
398C22×D4C23×C5911yescharacteristic
399C22×D4C23×C5911yescharacteristic
400C23×C4—21no—
401C2×SD16—22no—
402C2×SD16—22no—
403C2×SD16—41no—
404C2×D8—22no—
405C2×D8—41no—
406C2×D8—41no—
407C22×C8C23×C5911yescharacteristic
408C22×C8C23×C5911yescharacteristic
409C22×C8C23×C5911yescharacteristic
410C22×C8C23×C5911yescharacteristic
411#124—41no—
412#124—41no—
413C22⋊Q8—44no—
414C4×Q8—41no—
415C4×Q8—41no—
416C4×D4—41no—
417C4×D4—41no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4D4×C5911yescharacteristic
423C2×C4⋊C4D4×C5911yescharacteristic
424C2×C4⋊C4D4×C5911yescharacteristic
425C2×C4⋊C4C23×C5911yescharacteristic
426C2×C4⋊C4C23×C5911yescharacteristic
427C2×C4⋊C4C23×C5911yescharacteristic
428C2×C4⋊C4C23×C5911yescharacteristic
429C2×C4⋊C4C23×C5911yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C42—21no—
442C2×C42C23×C5911yescharacteristic
443C2×C42C23×C5911yescharacteristic
444C2×C42C23×C5911yescharacteristic
445#107—22no—
446#107—41no—
447C4⋊C8—41no—
448#103—41no—
449#103—41no—
450#103—41no—
451#102—22no—
452#102—22no—
453#102—41no—
454#102—41no—
455#102—41no—
456#97—41no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464C24—21no—
465C24—21no—
466C2×Q8—22no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—41no—
474C2×Q8—41no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4#41×C5912yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4C2×D4×C5911yescharacteristic
497C22×C4C2×D4×C5911yescharacteristic
498C22×C4C2×D4×C5911yescharacteristic
499C22×C4C2×D4×C5911yescharacteristic
500C22×C4C2×D4×C5911yescharacteristic
501C22×C4C2×D4×C5911yescharacteristic
502C22×C4C24×C5911yescharacteristic
503SD16—44no—
504D8—44no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8#41×C5912yes—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—81no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—81no—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23C22×D4×C5911yescharacteristic
567Q8—44no—
568Q8—41no—
569Q8—41no—
570Q8—41no—
571Q8—41no—
572D4—22no—
573D4—22no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4AGL(1,ℤ/8)×C5912yes—
617C2×C4C2×#41×C5911yescharacteristic
618C2×C4C2×#41×C5911yescharacteristic
619C2×C4H(5,𝔽2)×C5911yescharacteristic
620C2×C4H(5,𝔽2)×C5911yescharacteristic
621C2×C4H(5,𝔽2)×C5911yescharacteristic
622C2×C42−1+4×C5911yescharacteristic
623C8—22no—
624C8—41no—
625C8—41no—
626C8—41no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C59×#53411yescharacteristic
642C22C59×#54811yescharacteristic
643C22C59×#55011yescharacteristic
644C22C2×AGL(1,ℤ/8)×C5911yescharacteristic
645C22C59×#57511yescharacteristic
646C22C59×#57611yescharacteristic
647C22C59×#57811yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C59×#53811yescharacteristic
661C4C59×#54211yescharacteristic
662C4C59×#55111yescharacteristic
663C4C59×#56211yescharacteristic
664C2—82no—
665C2—161no—
666C2C59×#273011yescharacteristic
667C2C59×#319411yescharacteristic
668C2C59×#320311yescharacteristic
669C2C59×#336711yescharacteristic
670C2C59×#337011yescharacteristic
671C2C59×#339911yescharacteristic
672C2C59×#340211yescharacteristic
subgroupG/H
center, socleC23×C59C22×D4
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC22×D8×C59C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C59 ◁ C2×C4×Q8×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2592C2semidirect
2. C59×#2538C2semidirect
3. C59×#2093C2semidirect
4. C59×#2072C2semidirect
5. C59×#2068C2semidirect
7. C59×#2042C2semidirect
9. C59×#1985C2semidirect
10. C59×#1973C2semidirect
11. C59×#1936C2semidirect
12. C59×#1925C2semidirect
13. C59×#1921C2semidirect
15. C59×#1877C2semidirect
290. #32612C59direct (N × H)
328. #2592C2×C59semidirect
329. #2538C2×C59semidirect
330. #2093C2×C59semidirect
331. #2072C2×C59semidirect
332. #2068C2×C59semidirect
334. #2042C2×C59semidirect
336. #1985C2×C59semidirect
337. #1973C2×C59semidirect
338. #1936C2×C59semidirect
339. #1925C2×C59semidirect
340. #1921C2×C59semidirect
342. #1877C2×C59semidirect
395. C59#32612direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#25922
C59×#25382
C59×#20932
C59×#20722
C59×#20682
C59×#20542
C59×#20422
C59×#20122
C59×#19852
C59×#19732
C59×#19362
C59×#19252
C59×#19212
C59×#18792
C59×#18772
#3261259