Finite Group Databasebeta

← C59×#14877 #28426986

Subgroups — C59×#14877 #28426986

Order 15104.

1870 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Q8×C59C211yesmaximal, characteristic, complemented
2C2×C59×#396C212yesmaximal
3C2×C59×#395C211yesmaximal, characteristic, complemented
4C2×C59×#393C211yesmaximal, characteristic
5C2×C59×#388C211yesmaximal, characteristic
6C59×#1441C212yesmaximal, complemented
7C59×#1441C211yesmaximal, characteristic, complemented
8C59×#1439C211yesmaximal, characteristic
9C59×#1437C212yesmaximal
10C59×#1436C212yesmaximal, complemented
11C59×C4⋊#95C211yesmaximal, characteristic, complemented
12C23×Q8×C59C2211yescharacteristic
13C2×C4×Q8×C59—28no—
14C2×C4×Q8×C59—24no—
15C22×C4⋊C4×C59C2211yescharacteristic
16C22×C4⋊C4×C59C2212yes—
17C22×C4⋊C4×C59C2211yescharacteristic
18C22×C4⋊C4×C59C2212yes—
19C22×C4⋊C4×C59C2212yes—
20C22×C22⋊C4×C59C2211yescharacteristic
21C22×C22⋊C4×C59C2211yescharacteristic
22C22×C22⋊C4×C59C2212yes—
23C22×C22⋊C4×C59C2212yes—
24C22×C22⋊C4×C59C2211yescharacteristic
25C22×C42×C59C2212yes—
26C22×C42×C59C2211yescharacteristic
27C59×#396—28no—
28C59×#395—24no—
29C59×#393—24no—
30C59×#388—24no—
31C2×#95×C59C2211yescharacteristic
32C2×#95×C59C2211yescharacteristic
33C2×#95×C59C2211yescharacteristic
34C2×#95×C59C2212yes—
35C2×#95×C59C2211yescharacteristic
36C2×#95×C59C2212yes—
37C2×#95×C59C2212yes—
38C2×#95×C59C2212yes—
39C2×#95×C59C2212yes—
40C2×#95×C59C2212yes—
41C25×C59C2311yescharacteristic
42C22×Q8×C59—24no—
43C22×Q8×C59—22no—
44C22×Q8×C59—24no—
45C22×Q8×C59—22no—
46C22×Q8×C59D414yes—
47C23×C4×C59C2311yescharacteristic
48C23×C4×C59C2312yes—
49C23×C4×C59C2311yescharacteristic
50C23×C4×C59C2312yes—
51C23×C4×C59C2311yescharacteristic
52C23×C4×C59C2312yes—
53C23×C4×C59C2311yescharacteristic
54C23×C4×C59C2312yes—
55C23×C4×C59C2311yescharacteristic
56C23×C4×C59C2311yescharacteristic
57C4×Q8×C59—232no—
58C2×C4⋊C4×C59—24no—
59C2×C4⋊C4×C59—22no—
60C2×C4⋊C4×C59—24no—
61C2×C4⋊C4×C59—24no—
62C2×C4⋊C4×C59—22no—
63C2×C4⋊C4×C59—22no—
64C2×C4⋊C4×C59—24no—
65C2×C4⋊C4×C59—24no—
66C2×C4⋊C4×C59—24no—
67C2×C4⋊C4×C59—24no—
68C2×C4⋊C4×C59—22no—
69C2×C4⋊C4×C59—24no—
70C2×C4⋊C4×C59—42no—
71C2×C4⋊C4×C59D418yes—
72C2×C22⋊C4×C59—22no—
73C2×C22⋊C4×C59—22no—
74C2×C22⋊C4×C59—22no—
75C2×C22⋊C4×C59—22no—
76C2×C22⋊C4×C59—22no—
77C2×C22⋊C4×C59—24no—
78C2×C22⋊C4×C59—24no—
79C2×C22⋊C4×C59—24no—
80C2×C22⋊C4×C59—24no—
81C2×C22⋊C4×C59—24no—
82C2×C22⋊C4×C59—22no—
83C2×C22⋊C4×C59—24no—
84C2×C22⋊C4×C59—42no—
85C2×C22⋊C4×C59Q814yescomplemented
86C2×C42×C59—24no—
87C2×C42×C59—24no—
88C2×C42×C59—24no—
89C2×C42×C59—24no—
90C2×C42×C59D414yes—
91#95×C59—22no—
92#95×C59—22no—
93#95×C59—22no—
94#95×C59—24no—
95#95×C59—22no—
96#95×C59—24no—
97#95×C59—24no—
98#95×C59—24no—
99#95×C59—24no—
100#95×C59—42no—
101C24×C59—21no—
102C24×C59—22no—
103C24×C59—21no—
104C24×C59—21no—
105C24×C59—22no—
106C24×C59—22no—
107C24×C59—21no—
108C24×C59—21no—
109C24×C59—22no—
110C24×C59—21no—
111C24×C59C2×Q812yes—
112C24×C59C2411yescharacteristic
113C2×Q8×C59—28no—
114C2×Q8×C59—28no—
115C2×Q8×C59—216no—
116C2×Q8×C59—216no—
117C2×Q8×C59—28no—
118C22×C4×C59—22no—
119C22×C4×C59—22no—
120C22×C4×C59—22no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—22no—
125C22×C4×C59—22no—
126C22×C4×C59—21no—
127C22×C4×C59—22no—
128C22×C4×C59—21no—
129C22×C4×C59—22no—
130C22×C4×C59—21no—
131C22×C4×C59—21no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—21no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—22no—
143C22×C4×C59—22no—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—22no—
150C22×C4×C59—21no—
151C22×C4×C59—22no—
152C22×C4×C59—22no—
153C22×C4×C59—21no—
154C22×C4×C59—22no—
155C22×C4×C59—22no—
156C22×C4×C59—22no—
157C22×C4×C59—21no—
158C22×C4×C59—22no—
159C22×C4×C59—21no—
160C22×C4×C59—22no—
161C22×C4×C59—22no—
162C22×C4×C59—22no—
163C22×C4×C59—22no—
164C22×C4×C59C2×D414yes—
165C22×C4×C59C2×D412yes—
166C22×C4×C59C2×D414yes—
167C22×C4×C59C2×D412yes—
168C22×C4×C59C2×D414yes—
169C22×C4×C59C2×D414yes—
170C22×C4×C59C2×D412yes—
171C22×C4×C59C2×D412yes—
172C22×C4×C59C2×Q812yes—
173C22×C4×C59C2×Q812yes—
174C22×C4×C59#4114yes—
175C22×C4×C59#4114yes—
176C22×C4×C59#4112yes—
177C22×C4×C59#4112yes—
178C4⋊C4×C59—28no—
179C4⋊C4×C59—216no—
180C4⋊C4×C59—48no—
181C4⋊C4×C59—44no—
182C4⋊C4×C59—48no—
183C22⋊C4×C59—28no—
184C22⋊C4×C59—48no—
185C22⋊C4×C59—44no—
186C22⋊C4×C59—44no—
187C22⋊C4×C59—48no—
188C42×C59—216no—
189C42×C59—28no—
190C23×C59—22no—
191C23×C59—24no—
192C23×C59—24no—
193C23×C59—22no—
194C23×C59—22no—
195C23×C59—41no—
196C23×C59—42no—
197C23×C59—41no—
198C23×C59—41no—
199C23×C59—42no—
200C23×C59—42no—
201C23×C59—41no—
202C23×C59—41no—
203C23×C59—41no—
204C23×C59—42no—
205C23×C59—42no—
206C23×C59—42no—
207C23×C59—42no—
208C23×C59—42no—
209C23×C59—42no—
210C23×C59—41no—
211C23×C59—42no—
212C23×C59—41no—
213C23×C59C22×D411yescharacteristic
214C23×C59C22×D412yes—
215C23×C59C22×D411yescharacteristic
216C23×C59C22×Q811yescharacteristic
217C23×C59C2×#4112yes—
218C23×C59C2×#4111yescharacteristic
219C23×C59C2×#4111yescharacteristic
220C23×C59C2×#4112yes—
221C23×C59H(5,𝔽2)11yescharacteristic
222C23×C592−1+412yes—
223C23×C592−1+411yescharacteristic
224Q8×C59—232no—
225C2×C4×C59—22no—
226C2×C4×C59—24no—
227C2×C4×C59—22no—
228C2×C4×C59—24no—
229C2×C4×C59—24no—
230C2×C4×C59—24no—
231C2×C4×C59—22no—
232C2×C4×C59—24no—
233C2×C4×C59—24no—
234C2×C4×C59—24no—
235C2×C4×C59—24no—
236C2×C4×C59—22no—
237C2×C4×C59—22no—
238C2×C4×C59—22no—
239C2×C4×C59—24no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—22no—
245C2×C4×C59—24no—
246C2×C4×C59—24no—
247C2×C4×C59—24no—
248C2×C4×C59—24no—
249C2×C4×C59—24no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—42no—
253C2×C4×C59—41no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59—41no—
257C2×C4×C59—42no—
258C2×C4×C59—42no—
259C2×C4×C59—42no—
260C2×C4×C59—42no—
261C2×C4×C59—42no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—42no—
266C2×C4×C59—41no—
267C2×C4×C59—42no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—42no—
271C2×C4×C59—42no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—42no—
275C2×C4×C59—42no—
276C2×C4×C59—42no—
277C2×C4×C59—42no—
278C2×C4×C59—42no—
279C2×C4×C59—42no—
280C2×C4×C59—42no—
281C2×C4×C59#12014yes—
282C2×C4×C59#12118yes—
283C2×C4×C59#12114yes—
284C2×C4×C59C22⋊Q814yes—
285#14877C5911yesmaximal, characteristic, direct product factor, Sylow
286C22×C59—42no—
287C22×C59—42no—
288C22×C59—44no—
289C22×C59—44no—
290C22×C59—42no—
291C22×C59—81no—
292C22×C59—81no—
293C22×C59—82no—
294C22×C59—81no—
295C22×C59—82no—
296C22×C59—81no—
297C22×C59C2×#12011yescharacteristic
298C22×C59C2×#12112yes—
299C22×C59C2×#12111yescharacteristic
300C22×C59C2×C22⋊Q811yescharacteristic
301C22×C59#52511yescharacteristic
302C22×C59#52512yes—
303C22×C59#52912yes—
304C22×C59#53211yescharacteristic
305C22×C59#53312yes—
306C22×C59#53611yescharacteristic
307C22×C59#53711yescharacteristic
308C22×C59#54112yes—
309C22×C59#54212yes—
310C22×C59#54612yes—
311C22×C59#54712yes—
312C22×C59#54812yes—
313C22×C59#54812yes—
314C22×C59D4×Q812yes—
315C22×C59D4×Q811yescharacteristic
316C22×C59#55011yescharacteristic
317C22×C59#55411yescharacteristic
318C22×C59#55612yes—
319C22×C59#55611yescharacteristic
320C4×C59—28no—
321C4×C59—24no—
322C4×C59—24no—
323C4×C59—24no—
324C4×C59—44no—
325C4×C59—44no—
326C4×C59—42no—
327C4×C59—81no—
328C4×C59—82no—
329C4×C59—81no—
330C22×C4×Q8C2×C5911yescharacteristic, complemented
331C2×#396C2×C5912yes—
332C2×#395C2×C5911yescharacteristic, complemented
333C2×#393C2×C5911yescharacteristic
334C2×#388C2×C5911yescharacteristic
335#1441C2×C5911yescharacteristic, complemented
336#1441C2×C5912yescomplemented
337#1439C2×C5911yescharacteristic
338#1437C2×C5912yes—
339#1436C2×C5912yescomplemented
340C4⋊#95C2×C5911yescharacteristic, complemented
341C2×C59—82no—
342C2×C59#239611yescharacteristic
343C2×C59#240911yescharacteristic
344C2×C59#242612yes—
345C2×C59#242912yes—
346C2×C59#243011yescharacteristic
347C2×C59#246512yes—
348C2×C59#246912yes—
349C2×C59#253811yescharacteristic
350C2×C59#254511yescharacteristic
351C2×C59#263711yescharacteristic
352C2×C59#284711yescharacteristic
353C23×Q8C22×C5911yescharacteristic
354C2×C4×Q8—28no—
355C2×C4×Q8—24no—
356C22×C4⋊C4C22×C5912yes—
357C22×C4⋊C4C22×C5911yescharacteristic
358C22×C4⋊C4C22×C5911yescharacteristic
359C22×C4⋊C4C22×C5912yes—
360C22×C4⋊C4C22×C5912yes—
361C22×C22⋊C4C22×C5912yes—
362C22×C22⋊C4C22×C5911yescharacteristic
363C22×C22⋊C4C22×C5911yescharacteristic
364C22×C22⋊C4C22×C5912yes—
365C22×C22⋊C4C22×C5911yescharacteristic
366C22×C42C22×C5912yes—
367C22×C42C22×C5911yescharacteristic
368#396—28no—
369#395—24no—
370#393—24no—
371#388—24no—
372C2×#95C22×C5911yescharacteristic
373C2×#95C22×C5912yes—
374C2×#95C22×C5911yescharacteristic
375C2×#95C22×C5912yes—
376C2×#95C22×C5912yes—
377C2×#95C22×C5912yes—
378C2×#95C22×C5911yescharacteristic
379C2×#95C22×C5912yes—
380C2×#95C22×C5911yescharacteristic
381C2×#95C22×C5912yes—
382C59#1487711yescharacteristic, direct product factor, Sylow
383C25C23×C5911yescharacteristic
384C22×Q8—24no—
385C22×Q8—22no—
386C22×Q8—24no—
387C22×Q8—22no—
388C22×Q8D4×C5914yes—
389C23×C4C23×C5911yescharacteristic
390C23×C4C23×C5912yes—
391C23×C4C23×C5911yescharacteristic
392C23×C4C23×C5912yes—
393C23×C4C23×C5911yescharacteristic
394C23×C4C23×C5912yes—
395C23×C4C23×C5911yescharacteristic
396C23×C4C23×C5912yes—
397C23×C4C23×C5911yescharacteristic
398C23×C4C23×C5911yescharacteristic
399C4×Q8—232no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—24no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—24no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—42no—
413C2×C4⋊C4D4×C5918yes—
414C2×C22⋊C4—22no—
415C2×C22⋊C4—22no—
416C2×C22⋊C4—22no—
417C2×C22⋊C4—22no—
418C2×C22⋊C4—24no—
419C2×C22⋊C4—22no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—24no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—42no—
427C2×C22⋊C4Q8×C5914yescomplemented
428C2×C42—24no—
429C2×C42—24no—
430C2×C42—24no—
431C2×C42—24no—
432C2×C42D4×C5914yes—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—24no—
437#95—22no—
438#95—24no—
439#95—24no—
440#95—24no—
441#95—24no—
442#95—42no—
443C24—21no—
444C24—22no—
445C24—21no—
446C24—21no—
447C24—22no—
448C24—22no—
449C24—21no—
450C24—21no—
451C24—22no—
452C24—21no—
453C24C2×Q8×C5912yes—
454C24C24×C5911yescharacteristic
455C2×Q8—28no—
456C2×Q8—28no—
457C2×Q8—216no—
458C2×Q8—28no—
459C2×Q8—216no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4C2×D4×C5914yes—
507C22×C4C2×D4×C5912yes—
508C22×C4C2×D4×C5914yes—
509C22×C4C2×D4×C5914yes—
510C22×C4C2×D4×C5912yes—
511C22×C4C2×D4×C5914yes—
512C22×C4C2×D4×C5912yes—
513C22×C4C2×D4×C5912yes—
514C22×C4C2×Q8×C5912yes—
515C22×C4C2×Q8×C5912yes—
516C22×C4#41×C5914yes—
517C22×C4#41×C5914yes—
518C22×C4#41×C5912yes—
519C22×C4#41×C5912yes—
520C4⋊C4—28no—
521C4⋊C4—216no—
522C4⋊C4—48no—
523C4⋊C4—44no—
524C4⋊C4—48no—
525C22⋊C4—28no—
526C22⋊C4—48no—
527C22⋊C4—44no—
528C22⋊C4—44no—
529C22⋊C4—48no—
530C42—216no—
531C42—28no—
532C23—22no—
533C23—24no—
534C23—22no—
535C23—24no—
536C23—22no—
537C23—41no—
538C23—41no—
539C23—42no—
540C23—41no—
541C23—42no—
542C23—42no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—41no—
553C23—41no—
554C23—42no—
555C23C22×D4×C5911yescharacteristic
556C23C22×D4×C5912yes—
557C23C22×D4×C5911yescharacteristic
558C23C22×Q8×C5911yescharacteristic
559C23C2×#41×C5912yes—
560C23C2×#41×C5911yescharacteristic
561C23C2×#41×C5911yescharacteristic
562C23C2×#41×C5912yes—
563C23H(5,𝔽2)×C5911yescharacteristic
564C232−1+4×C5912yes—
565C232−1+4×C5911yescharacteristic
566Q8—232no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—41no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—41no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4#120×C5914yes—
624C2×C4#121×C5914yes—
625C2×C4#121×C5918yes—
626C2×C4C22⋊Q8×C5914yes—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—44no—
631C22—44no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—82no—
636C22—81no—
637C22—82no—
638C22C2×#120×C5911yescharacteristic
639C22C2×#121×C5911yescharacteristic
640C22C2×#121×C5912yes—
641C22C2×C22⋊Q8×C5911yescharacteristic
642C22C59×#52511yescharacteristic
643C22C59×#52512yes—
644C22C59×#52912yes—
645C22C59×#53211yescharacteristic
646C22C59×#53312yes—
647C22C59×#53611yescharacteristic
648C22C59×#53711yescharacteristic
649C22C59×#54112yes—
650C22C59×#54212yes—
651C22C59×#54612yes—
652C22C59×#54712yes—
653C22C59×#54812yes—
654C22C59×#54812yes—
655C22D4×Q8×C5911yescharacteristic
656C22D4×Q8×C5912yes—
657C22C59×#55011yescharacteristic
658C22C59×#55411yescharacteristic
659C22C59×#55611yescharacteristic
660C22C59×#55612yes—
661C4—28no—
662C4—24no—
663C4—24no—
664C4—24no—
665C4—42no—
666C4—44no—
667C4—44no—
668C4—81no—
669C4—81no—
670C4—82no—
671C2—82no—
672C2C59×#239611yescharacteristic
673C2C59×#240911yescharacteristic
674C2C59×#242612yes—
675C2C59×#242912yes—
676C2C59×#243011yescharacteristic
677C2C59×#246512yes—
678C2C59×#246912yes—
679C2C59×#253811yescharacteristic
680C2C59×#254511yescharacteristic
681C2C59×#263711yescharacteristic
682C2C59×#284711yescharacteristic
subgroupG/H
center, socleC24×C59C24
commutator, Frattini, cosocleC24C24×C59
prime radicalC25×C59C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C4×Q8×C59C2semidirect
3. C2×C59×#395C2semidirect
6. C59×#1441C2semidirect
7. C59×#1441C2semidirect
10. C59×#1436C2semidirect
11. C59×C4⋊#95C2semidirect
85. C2×C22⋊C4×C59Q8semidirect
285. #14877C59direct (N × H)
330. C22×C4×Q8C2×C59semidirect
332. C2×#395C2×C59semidirect
335. #1441C2×C59semidirect
336. #1441C2×C59semidirect
339. #1436C2×C59semidirect
340. C4⋊#95C2×C59semidirect
382. C59#14877direct (N × H)
427. C2×C22⋊C4Q8×C59semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Q8×C592
C2×C59×#3962
C2×C59×#3952
C2×C59×#3932
C2×C59×#3882
C59×#14412
C59×#14392
C59×#14372
C59×#14362
C59×C4⋊#952
#1487759