Finite Group Databasebeta

← C59×#26731 #28438840

Subgroups — C59×#26731 #28438840

Order 15104.

798 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2492C211yesmaximal, characteristic, complemented
2C59×#2363C211yesmaximal, characteristic
3C59×#2055C211yesmaximal, characteristic, complemented
4C59×#2033C211yesmaximal, characteristic
5C59×#2023C211yesmaximal, characteristic, complemented
6C59×#2000C211yesmaximal, characteristic
7C59×#1988C211yesmaximal, characteristic, complemented
8C59×#1933C211yesmaximal, characteristic, complemented
9C59×#1928C211yesmaximal, characteristic, complemented
10C59×#1923C211yesmaximal, characteristic, complemented
11C59×#1921C211yesmaximal, characteristic, complemented
12C59×#1877C211yesmaximal, characteristic, complemented
13C59×#1873C211yesmaximal, characteristic, complemented
14C59×#1825C211yesmaximal, characteristic, complemented
15C4×#102×C59C211yesmaximal, characteristic, complemented
16C22×SD16×C59C2211yescharacteristic
17C2×C4⋊Q8×C59C2211yescharacteristic
18C2×C22⋊Q8×C59C2211yescharacteristic
19C2×#121×C59C2211yescharacteristic
20C2×C4×D4×C59C2211yescharacteristic
21C2×#117×C59C2211yescharacteristic
22C2×#107×C59C2211yescharacteristic
23C2×C4⋊C8×C59C2211yescharacteristic
24C2×#103×C59C2211yescharacteristic
25C2×#103×C59C2211yescharacteristic
26C2×#103×C59C2211yescharacteristic
27C2×#102×C59C2211yescharacteristic
28C2×#102×C59C2211yescharacteristic
29C2×#102×C59C2211yescharacteristic
30C2×C22⋊C8×C59C2211yescharacteristic
31C2×C22⋊C8×C59C2211yescharacteristic
32C2×C4×C8×C59C2211yescharacteristic
33C59×#400—21no—
34C59×#393—21no—
35C59×#391—21no—
36C59×#391C2211yescharacteristic
37C59×#391C2211yescharacteristic
38C59×#390—21no—
39C59×#390C2211yescharacteristic
40C59×#389C2211yescharacteristic
41C59×#388—21no—
42C59×#388—21no—
43C59×#386—21no—
44C59×#380C2211yescharacteristic
45C4×C4⋊C4×C59C2211yescharacteristic
46C4×C4⋊C4×C59C2211yescharacteristic
47C4×C22⋊C4×C59—21no—
48C4×C22⋊C4×C59C2211yescharacteristic
49C59×#340C2211yescharacteristic
50C59×#340C2211yescharacteristic
51C59×#340C2211yescharacteristic
52C59×#340C2211yescharacteristic
53C59×#340C2211yescharacteristic
54C59×#340C2211yescharacteristic
55C59×#340C2211yescharacteristic
56C59×#340C2211yescharacteristic
57C59×#336C2211yescharacteristic
58C59×#336C2211yescharacteristic
59C22×Q8×C59—21no—
60C22×Q8×C59C2311yescharacteristic
61C22×D4×C59—21no—
62C22×D4×C59C2311yescharacteristic
63C23×C4×C59—21no—
64C23×C4×C59C2311yescharacteristic
65C2×SD16×C59—22no—
66C2×SD16×C59—41no—
67C2×SD16×C59—41no—
68C22×C8×C59C2311yescharacteristic
69C22×C8×C59C2311yescharacteristic
70C22×C8×C59C2311yescharacteristic
71C22×C8×C59C2311yescharacteristic
72C4⋊Q8×C59—22no—
73C4⋊Q8×C59—41no—
74C22⋊Q8×C59—22no—
75C22⋊Q8×C59—41no—
76#121×C59—22no—
77#121×C59—22no—
78C4×D4×C59—22no—
79C4×D4×C59—41no—
80#117×C59—22no—
81#117×C59—41no—
82C2×C4⋊C4×C59—21no—
83C2×C4⋊C4×C59—21no—
84C2×C4⋊C4×C59—21no—
85C2×C4⋊C4×C59C2311yescharacteristic
86C2×C4⋊C4×C59C2311yescharacteristic
87C2×C4⋊C4×C59C2311yescharacteristic
88C2×C4⋊C4×C59C2311yescharacteristic
89C2×C4⋊C4×C59C2311yescharacteristic
90C2×C4⋊C4×C59C2311yescharacteristic
91C2×C22⋊C4×C59—21no—
92C2×C22⋊C4×C59—21no—
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×C59D411yescharacteristic
99C2×C22⋊C4×C59D411yescharacteristic
100C2×C42×C59—21no—
101C2×C42×C59—21no—
102C2×C42×C59—21no—
103C2×C42×C59C2311yescharacteristic
104C2×C42×C59C2311yescharacteristic
105#107×C59—22no—
106C4⋊C8×C59—41no—
107#103×C59—22no—
108#103×C59—22no—
109#103×C59—41no—
110#102×C59—22no—
111#102×C59—22no—
112#102×C59—41no—
113C22⋊C8×C59—41no—
114C22⋊C8×C59—41no—
115C4×C8×C59—41no—
116#95×C59—21no—
117#95×C59—21no—
118#95×C59—21no—
119#95×C59—21no—
120#95×C59—21no—
121#95×C59—21no—
122#95×C59—21no—
123#95×C59—21no—
124#95×C59D411yescharacteristic
125#95×C59D411yescharacteristic
126C24×C59—21no—
127C24×C59C2×D411yescharacteristic
128C2×Q8×C59—21no—
129C2×Q8×C59—21no—
130C2×Q8×C59—21no—
131C2×Q8×C59—21no—
132C2×Q8×C59—21no—
133C2×Q8×C59—21no—
134C2×Q8×C59—42no—
135C2×Q8×C59—42no—
136C2×Q8×C59—81no—
137C2×D4×C59—24no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—81no—
144C2×D4×C59—81no—
145C2×D4×C59#4112yes—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
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—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—42no—
160C22×C4×C59—42no—
161C22×C4×C59—81no—
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2411yescharacteristic
168SD16×C59—44no—
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—21no—
180C2×C8×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—42no—
191C4⋊C4×C59—42no—
192C4⋊C4×C59—81no—
193C4⋊C4×C59#4112yes—
194C4⋊C4×C59#4112yes—
195C4⋊C4×C59#4112yes—
196C22⋊C4×C59—24no—
197C22⋊C4×C59—22no—
198C22⋊C4×C59—22no—
199C22⋊C4×C59—42no—
200C22⋊C4×C59—42no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—42no—
203C22⋊C4×C59—81no—
204C22⋊C4×C59—81no—
205C42×C59—21no—
206C42×C59—21no—
207C42×C59—21no—
208C42×C59—21no—
209C42×C59—42no—
210C42×C59—81no—
211C42×C59—81no—
212C23×C59—22no—
213C23×C59—21no—
214C23×C59—21no—
215C23×C59—21no—
216C23×C59—21no—
217C23×C59—21no—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—41no—
221C23×C59—41no—
222C23×C59—41no—
223C23×C59—41no—
224C23×C59—41no—
225C23×C59—41no—
226C23×C59C22×D411yescharacteristic
227Q8×C59—41no—
228Q8×C59—41no—
229Q8×C59—41no—
230Q8×C59—41no—
231Q8×C59—84no—
232D4×C59—22no—
233D4×C59—22no—
234D4×C59—41no—
235D4×C59—41no—
236D4×C59—84no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
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—84no—
276C2×C4×C59#13512yes—
277C2×C4×C59#13712yes—
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×C4×C59H(5,𝔽2)11yescharacteristic
284C8×C59—41no—
285C8×C59—41no—
286C8×C59—41no—
287C8×C59—41no—
288#26731C5911yesmaximal, characteristic, direct product factor, Sylow
289C22×C59—41no—
290C22×C59—41no—
291C22×C59—42no—
292C22×C59—41no—
293C22×C59—42no—
294C22×C59—41no—
295C22×C59—42no—
296C22×C59—41no—
297C22×C59—41no—
298C22×C59—41no—
299C22×C59—81no—
300C22×C59—81no—
301C22×C59—81no—
302C22×C59—81no—
303C22×C59#52511yescharacteristic
304C22×C59#54611yescharacteristic
305C22×C59#54611yescharacteristic
306C22×C59C2×#13511yescharacteristic
307C22×C59C2×#13711yescharacteristic
308C22×C59#57611yescharacteristic
309C22×C59#57711yescharacteristic
310C4×C59—22no—
311C4×C59—22no—
312C4×C59—41no—
313C4×C59—42no—
314C4×C59—41no—
315C4×C59—42no—
316C4×C59—41no—
317C4×C59—42no—
318C4×C59—81no—
319C4×C59—81no—
320C4×C59—81no—
321C4×C59—81no—
322C4×C59#52911yescharacteristic
323C4×C59#53811yescharacteristic
324C4×C59#55511yescharacteristic
325C4×C59#55911yescharacteristic
326#2492C2×C5911yescharacteristic, complemented
327#2363C2×C5911yescharacteristic
328#2055C2×C5911yescharacteristic, complemented
329#2033C2×C5911yescharacteristic
330#2023C2×C5911yescharacteristic, complemented
331#2000C2×C5911yescharacteristic
332#1988C2×C5911yescharacteristic, complemented
333#1933C2×C5911yescharacteristic, complemented
334#1928C2×C5911yescharacteristic, complemented
335#1923C2×C5911yescharacteristic, complemented
336#1921C2×C5911yescharacteristic, complemented
337#1877C2×C5911yescharacteristic, complemented
338#1873C2×C5911yescharacteristic, complemented
339#1825C2×C5911yescharacteristic, complemented
340C4×#102C2×C5911yescharacteristic, complemented
341C2×C59—81no—
342C2×C59—82no—
343C2×C59#245911yescharacteristic
344C2×C59#310711yescharacteristic
345C2×C59#311811yescharacteristic
346C2×C59#329711yescharacteristic
347C2×C59#330411yescharacteristic
348C2×C59#331411yescharacteristic
349C2×C59#332911yescharacteristic
350C22×SD16C22×C5911yescharacteristic
351C2×C4⋊Q8C22×C5911yescharacteristic
352C2×C22⋊Q8C22×C5911yescharacteristic
353C2×#121C22×C5911yescharacteristic
354C2×C4×D4C22×C5911yescharacteristic
355C2×#117C22×C5911yescharacteristic
356C2×#107C22×C5911yescharacteristic
357C2×C4⋊C8C22×C5911yescharacteristic
358C2×#103C22×C5911yescharacteristic
359C2×#103C22×C5911yescharacteristic
360C2×#103C22×C5911yescharacteristic
361C2×#102C22×C5911yescharacteristic
362C2×#102C22×C5911yescharacteristic
363C2×#102C22×C5911yescharacteristic
364C2×C22⋊C8C22×C5911yescharacteristic
365C2×C22⋊C8C22×C5911yescharacteristic
366C2×C4×C8C22×C5911yescharacteristic
367#400—21no—
368#393—21no—
369#391—21no—
370#391C22×C5911yescharacteristic
371#391C22×C5911yescharacteristic
372#390—21no—
373#390C22×C5911yescharacteristic
374#389C22×C5911yescharacteristic
375#388—21no—
376#388—21no—
377#386—21no—
378#380C22×C5911yescharacteristic
379C4×C4⋊C4C22×C5911yescharacteristic
380C4×C4⋊C4C22×C5911yescharacteristic
381C4×C22⋊C4—21no—
382C4×C22⋊C4C22×C5911yescharacteristic
383#340C22×C5911yescharacteristic
384#340C22×C5911yescharacteristic
385#340C22×C5911yescharacteristic
386#340C22×C5911yescharacteristic
387#340C22×C5911yescharacteristic
388#340C22×C5911yescharacteristic
389#340C22×C5911yescharacteristic
390#340C22×C5911yescharacteristic
391#336C22×C5911yescharacteristic
392#336C22×C5911yescharacteristic
393C59#2673111yescharacteristic, direct product factor, Sylow
394C22×Q8—21no—
395C22×Q8C23×C5911yescharacteristic
396C22×D4—21no—
397C22×D4C23×C5911yescharacteristic
398C23×C4—21no—
399C23×C4C23×C5911yescharacteristic
400C2×SD16—22no—
401C2×SD16—41no—
402C2×SD16—41no—
403C22×C8C23×C5911yescharacteristic
404C22×C8C23×C5911yescharacteristic
405C22×C8C23×C5911yescharacteristic
406C22×C8C23×C5911yescharacteristic
407C4⋊Q8—22no—
408C4⋊Q8—41no—
409C22⋊Q8—22no—
410C22⋊Q8—41no—
411#121—22no—
412#121—22no—
413C4×D4—22no—
414C4×D4—41no—
415#117—22no—
416#117—41no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4C23×C5911yescharacteristic
421C2×C4⋊C4C23×C5911yescharacteristic
422C2×C4⋊C4C23×C5911yescharacteristic
423C2×C4⋊C4C23×C5911yescharacteristic
424C2×C4⋊C4C23×C5911yescharacteristic
425C2×C4⋊C4C23×C5911yescharacteristic
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4D4×C5911yescharacteristic
434C2×C22⋊C4D4×C5911yescharacteristic
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42C23×C5911yescharacteristic
439C2×C42C23×C5911yescharacteristic
440#107—22no—
441C4⋊C8—41no—
442#103—22no—
443#103—22no—
444#103—41no—
445#102—22no—
446#102—22no—
447#102—41no—
448C22⋊C8—41no—
449C22⋊C8—41no—
450C4×C8—41no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95D4×C5911yescharacteristic
460#95D4×C5911yescharacteristic
461C24—21no—
462C24C2×D4×C5911yescharacteristic
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—81no—
472C2×D4—24no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—81no—
479C2×D4—81no—
480C2×D4#41×C5912yes—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—81no—
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—
504C2×C8—21no—
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—
516C4⋊C4—21no—
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—42no—
526C4⋊C4—42no—
527C4⋊C4—81no—
528C4⋊C4#41×C5912yes—
529C4⋊C4#41×C5912yes—
530C4⋊C4#41×C5912yes—
531C22⋊C4—24no—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—42no—
545C42—81no—
546C42—81no—
547C23—22no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C22×D4×C5911yescharacteristic
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—84no—
567D4—22no—
568D4—22no—
569D4—41no—
570D4—41no—
571D4—84no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
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—84no—
611C2×C4#135×C5912yes—
612C2×C4#137×C5912yes—
613C2×C4C2×#41×C5911yescharacteristic
614C2×C4C2×#41×C5911yescharacteristic
615C2×C4C2×#41×C5911yescharacteristic
616C2×C4C2×#41×C5911yescharacteristic
617C2×C4H(5,𝔽2)×C5911yescharacteristic
618C2×C4H(5,𝔽2)×C5911yescharacteristic
619C8—41no—
620C8—41no—
621C8—41no—
622C8—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—42no—
629C22—41no—
630C22—42no—
631C22—41no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22C59×#52511yescharacteristic
638C22C59×#54611yescharacteristic
639C22C59×#54611yescharacteristic
640C22C2×#135×C5911yescharacteristic
641C22C2×#137×C5911yescharacteristic
642C22C59×#57611yescharacteristic
643C22C59×#57711yescharacteristic
644C4—22no—
645C4—22no—
646C4—42no—
647C4—41no—
648C4—42no—
649C4—41no—
650C4—42no—
651C4—41no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4C59×#52911yescharacteristic
657C4C59×#53811yescharacteristic
658C4C59×#55511yescharacteristic
659C4C59×#55911yescharacteristic
660C2—81no—
661C2—82no—
662C2C59×#245911yescharacteristic
663C2C59×#310711yescharacteristic
664C2C59×#311811yescharacteristic
665C2C59×#329711yescharacteristic
666C2C59×#330411yescharacteristic
667C2C59×#331411yescharacteristic
668C2C59×#332911yescharacteristic
subgroupG/H
center, socleC23×C59C22×D4
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC2×#121×C59C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C59 ◁ C4×C22⋊C4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2492C2semidirect
3. C59×#2055C2semidirect
5. C59×#2023C2semidirect
7. C59×#1988C2semidirect
8. C59×#1933C2semidirect
9. C59×#1928C2semidirect
10. C59×#1923C2semidirect
11. C59×#1921C2semidirect
12. C59×#1877C2semidirect
13. C59×#1873C2semidirect
14. C59×#1825C2semidirect
15. C4×#102×C59C2semidirect
288. #26731C59direct (N × H)
326. #2492C2×C59semidirect
328. #2055C2×C59semidirect
330. #2023C2×C59semidirect
332. #1988C2×C59semidirect
333. #1933C2×C59semidirect
334. #1928C2×C59semidirect
335. #1923C2×C59semidirect
336. #1921C2×C59semidirect
337. #1877C2×C59semidirect
338. #1873C2×C59semidirect
339. #1825C2×C59semidirect
340. C4×#102C2×C59semidirect
393. C59#26731direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#24922
C59×#23632
C59×#20552
C59×#20332
C59×#20232
C59×#20002
C59×#19882
C59×#19332
C59×#19282
C59×#19232
C59×#19212
C59×#18772
C59×#18732
C59×#18252
C4×#102×C592
#2673159