Finite Group Databasebeta

← C59×#16606 #28428715

Subgroups — C59×#16606 #28428715

Order 15104.

1794 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C22⋊Q8×C59C211yesmaximal, characteristic
2C2×C59×#398C211yesmaximal, characteristic, complemented
3C2×C59×#395C211yesmaximal, characteristic, complemented
4C2×C59×#385C211yesmaximal, characteristic
5C59×#1446C211yesmaximal, characteristic, complemented
6C59×#1445C211yesmaximal, characteristic, complemented
7C59×#1444C212yesmaximal, complemented
8C59×#1441C212yesmaximal, complemented
9C59×#1439C212yesmaximal
10C59×#1439C212yesmaximal
11C59×C22⋊#95C211yesmaximal, characteristic
12C23×Q8×C59C2211yescharacteristic
13C24×C4×C59C2211yescharacteristic
14C2×C22⋊Q8×C59—24no—
15C2×C22⋊Q8×C59—24no—
16C2×C22⋊Q8×C59—24no—
17C22×C4⋊C4×C59C2211yescharacteristic
18C22×C4⋊C4×C59C2212yes—
19C22×C4⋊C4×C59C2212yes—
20C22×C4⋊C4×C59C2211yescharacteristic
21C22×C4⋊C4×C59C2211yescharacteristic
22C22×C4⋊C4×C59C2212yes—
23C22×C22⋊C4×C59C2211yescharacteristic
24C22×C22⋊C4×C59C2212yes—
25C22×C22⋊C4×C59C2211yescharacteristic
26C22×C22⋊C4×C59C2212yes—
27C59×#398—24no—
28C59×#395—24no—
29C59×#385—24no—
30C2×#95×C59C2211yescharacteristic
31C2×#95×C59C2211yescharacteristic
32C2×#95×C59C2211yescharacteristic
33C2×#95×C59C2212yes—
34C2×#95×C59C2211yescharacteristic
35C2×#95×C59C2212yes—
36C2×#95×C59C2212yes—
37C2×#95×C59C2212yes—
38C2×#95×C59C2212yes—
39C2×#95×C59C2212yes—
40C2×#95×C59C2212yes—
41C25×C59C2311yescharacteristic
42C22×Q8×C59—22no—
43C22×Q8×C59—22no—
44C22×Q8×C59—42no—
45C22×Q8×C59—42no—
46C22×Q8×C59D414yes—
47C23×C4×C59—22no—
48C23×C4×C59—22no—
49C23×C4×C59—42no—
50C23×C4×C59—42no—
51C23×C4×C59D414yes—
52C23×C4×C59C2311yescharacteristic
53C23×C4×C59C2311yescharacteristic
54C23×C4×C59C2312yes—
55C23×C4×C59C2312yes—
56C23×C4×C59C2311yescharacteristic
57C23×C4×C59C2312yes—
58C23×C4×C59C2312yes—
59C23×C4×C59C2311yescharacteristic
60C23×C4×C59C2311yescharacteristic
61C23×C4×C59C2311yescharacteristic
62C22⋊Q8×C59—232no—
63C2×C4⋊C4×C59—24no—
64C2×C4⋊C4×C59—24no—
65C2×C4⋊C4×C59—24no—
66C2×C4⋊C4×C59—22no—
67C2×C4⋊C4×C59—22no—
68C2×C4⋊C4×C59—22no—
69C2×C4⋊C4×C59—22no—
70C2×C4⋊C4×C59—24no—
71C2×C4⋊C4×C59—22no—
72C2×C4⋊C4×C59—24no—
73C2×C4⋊C4×C59—22no—
74C2×C4⋊C4×C59—24no—
75C2×C4⋊C4×C59—42no—
76C2×C4⋊C4×C59—42no—
77C2×C4⋊C4×C59—42no—
78C2×C4⋊C4×C59—42no—
79C2×C4⋊C4×C59D414yes—
80C2×C22⋊C4×C59—22no—
81C2×C22⋊C4×C59—24no—
82C2×C22⋊C4×C59—24no—
83C2×C22⋊C4×C59—24no—
84C2×C22⋊C4×C59—22no—
85C2×C22⋊C4×C59—22no—
86C2×C22⋊C4×C59—22no—
87C2×C22⋊C4×C59—42no—
88C2×C22⋊C4×C59—42no—
89C2×C22⋊C4×C59—42no—
90C2×C22⋊C4×C59Q818yescomplemented
91#95×C59—22no—
92#95×C59—22no—
93#95×C59—24no—
94#95×C59—22no—
95#95×C59—22no—
96#95×C59—24no—
97#95×C59—24no—
98#95×C59—42no—
99#95×C59—42no—
100#95×C59—42no—
101#95×C59—42no—
102C24×C59—21no—
103C24×C59—21no—
104C24×C59—21no—
105C24×C59—21no—
106C24×C59—21no—
107C24×C59—22no—
108C24×C59—22no—
109C24×C59—22no—
110C24×C59—21no—
111C24×C59C2×D412yes—
112C24×C59C2×Q814yes—
113C24×C59C2411yescharacteristic
114C2×Q8×C59—28no—
115C2×Q8×C59—48no—
116C2×Q8×C59—44no—
117C2×Q8×C59—44no—
118C2×Q8×C59—48no—
119C22×C4×C59—22no—
120C22×C4×C59—22no—
121C22×C4×C59—21no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—21no—
125C22×C4×C59—21no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—22no—
130C22×C4×C59—21no—
131C22×C4×C59—21no—
132C22×C4×C59—21no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—21no—
136C22×C4×C59—21no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—22no—
142C22×C4×C59—22no—
143C22×C4×C59—22no—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59—22no—
147C22×C4×C59—22no—
148C22×C4×C59—22no—
149C22×C4×C59—22no—
150C22×C4×C59—21no—
151C22×C4×C59—22no—
152C22×C4×C59—22no—
153C22×C4×C59—22no—
154C22×C4×C59—22no—
155C22×C4×C59—22no—
156C22×C4×C59—21no—
157C22×C4×C59—22no—
158C22×C4×C59—22no—
159C22×C4×C59—28no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—21no—
164C22×C4×C59—21no—
165C22×C4×C59—22no—
166C22×C4×C59—22no—
167C22×C4×C59—22no—
168C22×C4×C59—22no—
169C22×C4×C59—21no—
170C22×C4×C59—44no—
171C22×C4×C59—44no—
172C22×C4×C59—48no—
173C22×C4×C59—48no—
174C22×C4×C59C2×D414yes—
175C22×C4×C59C2×D414yes—
176C22×C4×C59C2×D412yes—
177C22×C4×C59C2×D412yes—
178C22×C4×C59C2×D412yes—
179C22×C4×C59C2×D412yes—
180C22×C4×C59C2×Q814yes—
181C22×C4×C59C2×Q814yes—
182C22×C4×C59#4112yes—
183C22×C4×C59#4112yes—
184C4⋊C4×C59—216no—
185C4⋊C4×C59—28no—
186C4⋊C4×C59—48no—
187C4⋊C4×C59—44no—
188C4⋊C4×C59—48no—
189C4⋊C4×C59—44no—
190C22⋊C4×C59—28no—
191C22⋊C4×C59—216no—
192C22⋊C4×C59—48no—
193C22⋊C4×C59—44no—
194C23×C59—22no—
195C23×C59—22no—
196C23×C59—22no—
197C23×C59—22no—
198C23×C59—22no—
199C23×C59—22no—
200C23×C59—24no—
201C23×C59—24no—
202C23×C59—24no—
203C23×C59—24no—
204C23×C59—24no—
205C23×C59—24no—
206C23×C59—42no—
207C23×C59—42no—
208C23×C59—42no—
209C23×C59—42no—
210C23×C59—41no—
211C23×C59—41no—
212C23×C59—41no—
213C23×C59—41no—
214C23×C59—42no—
215C23×C59—42no—
216C23×C59C4⋊Q814yes—
217C23×C59C22×D411yescharacteristic
218C23×C59C22×D411yescharacteristic
219C23×C59C22×D411yescharacteristic
220C23×C59C22×Q812yes—
221C23×C59C2×#4111yescharacteristic
222C23×C59C2×#4111yescharacteristic
223C23×C59H(5,𝔽2)12yes—
224C23×C59H(5,𝔽2)12yes—
225C23×C59H(5,𝔽2)11yescharacteristic
226C23×C592−1+412yes—
227C23×C592−1+411yescharacteristic
228Q8×C59—416no—
229C2×C4×C59—22no—
230C2×C4×C59—22no—
231C2×C4×C59—24no—
232C2×C4×C59—24no—
233C2×C4×C59—24no—
234C2×C4×C59—24no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—22no—
238C2×C4×C59—22no—
239C2×C4×C59—24no—
240C2×C4×C59—22no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—24no—
245C2×C4×C59—22no—
246C2×C4×C59—24no—
247C2×C4×C59—24no—
248C2×C4×C59—22no—
249C2×C4×C59—24no—
250C2×C4×C59—24no—
251C2×C4×C59—24no—
252C2×C4×C59—24no—
253C2×C4×C59—416no—
254C2×C4×C59—41no—
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—42no—
263C2×C4×C59—42no—
264C2×C4×C59—42no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—42no—
268C2×C4×C59—42no—
269C2×C4×C59—42no—
270C2×C4×C59—42no—
271C2×C4×C59—42no—
272C2×C4×C59—41no—
273C2×C4×C59—42no—
274C2×C4×C59—41no—
275C2×C4×C59—42no—
276C2×C4×C59—42no—
277C2×C4×C59—42no—
278C2×C4×C59—42no—
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—42no—
288C2×C4×C59—42no—
289C2×C4×C59#12014yes—
290#16606C5911yesmaximal, characteristic, direct product factor, Sylow
291C22×C59—24no—
292C22×C59—24no—
293C22×C59—24no—
294C22×C59—42no—
295C22×C59—42no—
296C22×C59—42no—
297C22×C59—44no—
298C22×C59—44no—
299C22×C59—44no—
300C22×C59—44no—
301C22×C59—42no—
302C22×C59C2×#12011yescharacteristic
303C22×C59#52511yescharacteristic
304C22×C59C2×C4⋊Q811yescharacteristic
305C22×C59#53411yescharacteristic
306C22×C59#53411yescharacteristic
307C22×C59#53412yes—
308C22×C59#53512yes—
309C22×C59#53611yescharacteristic
310C22×C59#53711yescharacteristic
311C22×C59#53912yes—
312C22×C59#54212yes—
313C22×C59#54312yes—
314C22×C59#54412yes—
315C22×C59#54611yescharacteristic
316C22×C59#54711yescharacteristic
317C22×C59#54811yescharacteristic
318C22×C59D4×Q812yes—
319C22×C59D4×Q812yes—
320C22×C59#55011yescharacteristic
321C22×C59#55412yes—
322C22×C59#55412yes—
323C22×C59#56212yes—
324C22×C59#56312yes—
325C4×C59—24no—
326C4×C59—42no—
327C4×C59—44no—
328C4×C59—42no—
329C4×C59—44no—
330C4×C59—42no—
331C4×C59—44no—
332C4×C59—44no—
333C4×C59—81no—
334C4×C59—81no—
335C22×C22⋊Q8C2×C5911yescharacteristic
336C2×#398C2×C5911yescharacteristic, complemented
337C2×#395C2×C5911yescharacteristic, complemented
338C2×#385C2×C5911yescharacteristic
339#1446C2×C5911yescharacteristic, complemented
340#1445C2×C5911yescharacteristic, complemented
341#1444C2×C5912yescomplemented
342#1441C2×C5912yescomplemented
343#1439C2×C5912yes—
344#1439C2×C5912yes—
345C22⋊#95C2×C5911yescharacteristic
346C2×C59—44no—
347C2×C59#240711yescharacteristic
348C2×C59#243411yescharacteristic
349C2×C59#258311yescharacteristic
350C2×C59#261311yescharacteristic
351C2×C59#263811yescharacteristic
352C2×C59#265911yescharacteristic
353C2×C59#269212yes—
354C2×C59#272012yes—
355C2×C59#272912yes—
356C2×C59#273212yes—
357C2×C59#281411yescharacteristic
358C23×Q8C22×C5911yescharacteristic
359C24×C4C22×C5911yescharacteristic
360C2×C22⋊Q8—24no—
361C2×C22⋊Q8—24no—
362C2×C22⋊Q8—24no—
363C22×C4⋊C4C22×C5911yescharacteristic
364C22×C4⋊C4C22×C5912yes—
365C22×C4⋊C4C22×C5912yes—
366C22×C4⋊C4C22×C5911yescharacteristic
367C22×C4⋊C4C22×C5912yes—
368C22×C4⋊C4C22×C5911yescharacteristic
369C22×C22⋊C4C22×C5912yes—
370C22×C22⋊C4C22×C5911yescharacteristic
371C22×C22⋊C4C22×C5911yescharacteristic
372C22×C22⋊C4C22×C5912yes—
373#398—24no—
374#395—24no—
375#385—24no—
376C2×#95C22×C5911yescharacteristic
377C2×#95C22×C5912yes—
378C2×#95C22×C5911yescharacteristic
379C2×#95C22×C5912yes—
380C2×#95C22×C5912yes—
381C2×#95C22×C5911yescharacteristic
382C2×#95C22×C5911yescharacteristic
383C2×#95C22×C5912yes—
384C2×#95C22×C5912yes—
385C2×#95C22×C5912yes—
386C2×#95C22×C5912yes—
387C59#1660611yescharacteristic, direct product factor, Sylow
388C25C23×C5911yescharacteristic
389C22×Q8—22no—
390C22×Q8—22no—
391C22×Q8—42no—
392C22×Q8—42no—
393C22×Q8D4×C5914yes—
394C23×C4—22no—
395C23×C4—22no—
396C23×C4—42no—
397C23×C4—42no—
398C23×C4D4×C5914yes—
399C23×C4C23×C5911yescharacteristic
400C23×C4C23×C5911yescharacteristic
401C23×C4C23×C5912yes—
402C23×C4C23×C5912yes—
403C23×C4C23×C5911yescharacteristic
404C23×C4C23×C5912yes—
405C23×C4C23×C5912yes—
406C23×C4C23×C5911yescharacteristic
407C23×C4C23×C5911yescharacteristic
408C23×C4C23×C5911yescharacteristic
409C22⋊Q8—232no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—24no—
412C2×C4⋊C4—24no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4—42no—
424C2×C4⋊C4—42no—
425C2×C4⋊C4—42no—
426C2×C4⋊C4D4×C5914yes—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4—42no—
435C2×C22⋊C4—42no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4Q8×C5918yescomplemented
438#95—22no—
439#95—22no—
440#95—24no—
441#95—22no—
442#95—22no—
443#95—24no—
444#95—24no—
445#95—42no—
446#95—42no—
447#95—42no—
448#95—42no—
449C24—21no—
450C24—21no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—21no—
458C24C2×D4×C5912yes—
459C24C2×Q8×C5914yes—
460C24C24×C5911yescharacteristic
461C2×Q8—28no—
462C2×Q8—48no—
463C2×Q8—44no—
464C2×Q8—44no—
465C2×Q8—48no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
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—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—28no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—48no—
520C22×C4—48no—
521C22×C4C2×D4×C5914yes—
522C22×C4C2×D4×C5914yes—
523C22×C4C2×D4×C5912yes—
524C22×C4C2×D4×C5912yes—
525C22×C4C2×D4×C5912yes—
526C22×C4C2×D4×C5912yes—
527C22×C4C2×Q8×C5914yes—
528C22×C4C2×Q8×C5914yes—
529C22×C4#41×C5912yes—
530C22×C4#41×C5912yes—
531C4⋊C4—216no—
532C4⋊C4—28no—
533C4⋊C4—48no—
534C4⋊C4—44no—
535C4⋊C4—48no—
536C4⋊C4—44no—
537C22⋊C4—216no—
538C22⋊C4—28no—
539C22⋊C4—48no—
540C22⋊C4—44no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—42no—
562C23—42no—
563C23C4⋊Q8×C5914yes—
564C23C22×D4×C5911yescharacteristic
565C23C22×D4×C5911yescharacteristic
566C23C22×D4×C5911yescharacteristic
567C23C22×Q8×C5912yes—
568C23C2×#41×C5911yescharacteristic
569C23C2×#41×C5911yescharacteristic
570C23H(5,𝔽2)×C5912yes—
571C23H(5,𝔽2)×C5912yes—
572C23H(5,𝔽2)×C5911yescharacteristic
573C232−1+4×C5912yes—
574C232−1+4×C5911yescharacteristic
575Q8—416no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—416no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4#120×C5914yes—
637C22—24no—
638C22—24no—
639C22—24no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—44no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22C2×#120×C5911yescharacteristic
649C22C59×#52511yescharacteristic
650C22C2×C4⋊Q8×C5911yescharacteristic
651C22C59×#53411yescharacteristic
652C22C59×#53411yescharacteristic
653C22C59×#53412yes—
654C22C59×#53512yes—
655C22C59×#53611yescharacteristic
656C22C59×#53711yescharacteristic
657C22C59×#53912yes—
658C22C59×#54212yes—
659C22C59×#54312yes—
660C22C59×#54412yes—
661C22C59×#54611yescharacteristic
662C22C59×#54711yescharacteristic
663C22C59×#54811yescharacteristic
664C22D4×Q8×C5912yes—
665C22D4×Q8×C5912yes—
666C22C59×#55011yescharacteristic
667C22C59×#55412yes—
668C22C59×#55412yes—
669C22C59×#56212yes—
670C22C59×#56312yes—
671C4—24no—
672C4—42no—
673C4—44no—
674C4—42no—
675C4—44no—
676C4—42no—
677C4—44no—
678C4—44no—
679C4—81no—
680C4—81no—
681C2—44no—
682C2C59×#240711yescharacteristic
683C2C59×#243411yescharacteristic
684C2C59×#258311yescharacteristic
685C2C59×#261311yescharacteristic
686C2C59×#263811yescharacteristic
687C2C59×#265911yescharacteristic
688C2C59×#269212yes—
689C2C59×#272012yes—
690C2C59×#272912yes—
691C2C59×#273212yes—
692C2C59×#281411yescharacteristic
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
2. C2×C59×#398C2semidirect
3. C2×C59×#395C2semidirect
5. C59×#1446C2semidirect
6. C59×#1445C2semidirect
7. C59×#1444C2semidirect
8. C59×#1441C2semidirect
90. C2×C22⋊C4×C59Q8semidirect
290. #16606C59direct (N × H)
336. C2×#398C2×C59semidirect
337. C2×#395C2×C59semidirect
339. #1446C2×C59semidirect
340. #1445C2×C59semidirect
341. #1444C2×C59semidirect
342. #1441C2×C59semidirect
387. C59#16606direct (N × H)
437. 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×C22⋊Q8×C592
C2×C59×#3982
C2×C59×#3952
C2×C59×#3852
C59×#14462
C59×#14452
C59×#14442
C59×#14412
C59×#14392
C59×C22⋊#952
#1660659