Finite Group Databasebeta

← C59×#18425 #28430534

Subgroups — C59×#18425 #28430534

Order 15104.

994 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3536C211yesmaximal, characteristic
2C59×#3193C211yesmaximal, characteristic, complemented
3C59×#3190C211yesmaximal, characteristic, complemented
4C59×#2659C211yesmaximal, characteristic, complemented
5C59×#1610C212yesmaximal, complemented
6C59×#1609C212yesmaximal, complemented
7C59×#1604C212yesmaximal, complemented
8C59×#1603C212yesmaximal, complemented
9C59×#1504C211yesmaximal, characteristic, complemented
10C2×C59×#327C211yesmaximal, characteristic, complemented
11C59×#1472C211yesmaximal, characteristic, complemented
12C59×#562—22no—
13C59×#554—21no—
14C59×#548—21no—
15C59×#547—21no—
16C59×#546—21no—
17C59×#546—22no—
18C59×#543—21no—
19C59×#542—21no—
20C59×#539C2212yes—
21C59×#538—21no—
22C59×#537—21no—
23C59×#537C2212yes—
24C59×#525C2211yescharacteristic
25C2×C22⋊Q8×C59C2211yescharacteristic
26C2×C22⋊Q8×C59C2211yescharacteristic
27C2×#121×C59C2211yescharacteristic
28C59×#485—21no—
29C59×#484—21no—
30C59×#483C2211yescharacteristic, complemented
31C59×#480C2212yes—
32C59×#480C2211yescharacteristic, complemented
33C59×#468—22no—
34C59×#467—21no—
35C59×#465—21no—
36C59×#452—21no—
37C59×#451C2211yescharacteristic, complemented
38C59×#450—21no—
39C59×#448C2212yes—
40C59×#448C2211yescharacteristic, complemented
41C59×#407C2211yescharacteristic
42C2×C22⋊C8×C59C2211yescharacteristic
43C59×#398—21no—
44C59×#398C2212yescomplemented
45C59×#395—21no—
46C59×#395C2212yescomplemented
47C59×#380—22no—
48C2×#95×C59C2211yescharacteristic
49C59×#328C2212yescomplemented
50C59×#327C2212yes—
51C59×#327C2212yes—
52C59×#327C2212yescomplemented
53C59×#324C2212yescomplemented
54C59×#324C2212yescomplemented
55C2×#41×C59—21no—
56C2×#41×C59—22no—
57C2×#41×C59D411yescharacteristic
58C22×Q8×C59D411yescharacteristic
59C22×Q8×C59C2311yescharacteristic
60C22×D4×C59—21no—
61C22×D4×C59D411yescharacteristic
62C23×C4×C59—21no—
63C23×C4×C59C2311yescharacteristic
64C2×Q16×C59—21no—
65C2×SD16×C59—22no—
66C2×SD16×C59—21no—
67C2×M16×C59—21no—
68C22×C8×C59—21no—
69C4⋊Q8×C59—21no—
70#126×C59—22no—
71#125×C59—22no—
72#124×C59—22no—
73#124×C59—21no—
74#124×C59—22no—
75#123×C59—22no—
76#123×C59—22no—
77#123×C59—22no—
78#123×C59—21no—
79#123×C59—22no—
80C22⋊Q8×C59—21no—
81C22⋊Q8×C59—22no—
82C22⋊Q8×C59—22no—
83C22⋊Q8×C59—22no—
84C22⋊Q8×C59—22no—
85C22⋊Q8×C59—21no—
86C22⋊Q8×C59—21no—
87C22⋊Q8×C59—21no—
88C22⋊Q8×C59—21no—
89C22⋊Q8×C59—22no—
90C22⋊Q8×C59—22no—
91C22⋊Q8×C59—21no—
92C22⋊Q8×C59—21no—
93C22⋊Q8×C59—21no—
94C22⋊Q8×C59—21no—
95C22⋊Q8×C59D411yescharacteristic
96C22⋊Q8×C59C2311yescharacteristic
97#121×C59—21no—
98#121×C59—22no—
99#121×C59—22no—
100#121×C59—22no—
101#121×C59—22no—
102#121×C59—21no—
103#121×C59—21no—
104#121×C59—22no—
105#121×C59D411yescharacteristic
106#121×C59D412yes—
107#121×C59C2312yes—
108#121×C59C2311yescharacteristic
109#120×C59—22no—
110#120×C59—21no—
111C4×Q8×C59—21no—
112C4×D4×C59—22no—
113C4×D4×C59—21no—
114C4×D4×C59—21no—
115C4×D4×C59—21no—
116C4×D4×C59—22no—
117#117×C59D411yescharacteristic
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—22no—
121C2×C4⋊C4×C59—22no—
122C2×C4⋊C4×C59D411yescharacteristic
123C2×C4⋊C4×C59D411yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2312yes—
126C2×C22⋊C4×C59—22no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59D412yes—
130#107×C59—21no—
131#107×C59—22no—
132#106×C59—21no—
133#103×C59—21no—
134#103×C59—22no—
135#103×C59—21no—
136#103×C59—21no—
137#102×C59—22no—
138#102×C59—21no—
139C22⋊C8×C59—21no—
140C22⋊C8×C59—21no—
141C22⋊C8×C59C2311yescharacteristic
142C22⋊C8×C59C2311yescharacteristic
143C22⋊C8×C59C2312yes—
144#95×C59—21no—
145#95×C59—22no—
146#95×C59—22no—
147#95×C59C2312yes—
148C24×C59—21no—
149C24×C59C2×D411yescharacteristic
150#41×C59—82no—
151#41×C59—82no—
152#41×C59—81no—
153#41×C59—82no—
154C2×Q8×C59—22no—
155C2×Q8×C59—21no—
156C2×Q8×C59—21no—
157C2×Q8×C59—21no—
158C2×Q8×C59—21no—
159C2×Q8×C59—81no—
160C2×Q8×C59—81no—
161C2×Q8×C59C2×D411yescharacteristic
162C2×D4×C59—21no—
163C2×D4×C59—21no—
164C2×D4×C59—22no—
165C2×D4×C59—22no—
166C2×D4×C59—22no—
167C2×D4×C59—21no—
168C2×D4×C59—22no—
169C2×D4×C59—21no—
170C2×D4×C59—81no—
171C2×D4×C59—81no—
172C2×D4×C59—81no—
173C2×D4×C59C2×D411yescharacteristic
174C2×D4×C59C2×D412yes—
175C22×C4×C59—22no—
176C22×C4×C59—22no—
177C22×C4×C59—22no—
178C22×C4×C59—22no—
179C22×C4×C59—24no—
180C22×C4×C59—21no—
181C22×C4×C59—21no—
182C22×C4×C59—21no—
183C22×C4×C59—21no—
184C22×C4×C59—81no—
185C22×C4×C59—81no—
186C22×C4×C59—81no—
187C22×C4×C59C2×D412yes—
188C22×C4×C59C2×D412yes—
189C22×C4×C59C2×D411yescharacteristic
190C22×C4×C59C2×D411yescharacteristic
191C22×C4×C59C2×D411yescharacteristic
192C22×C4×C59C2×D411yescharacteristic
193C22×C4×C59C2×D411yescharacteristic
194C22×C4×C59C2411yescharacteristic
195Q16×C59—81no—
196SD16×C59—81no—
197SD16×C59—82no—
198M16×C59—81no—
199C2×C8×C59—21no—
200C2×C8×C59—22no—
201C2×C8×C59—21no—
202C2×C8×C59—81no—
203C4⋊C4×C59—22no—
204C4⋊C4×C59—22no—
205C4⋊C4×C59—22no—
206C4⋊C4×C59—22no—
207C4⋊C4×C59—21no—
208C4⋊C4×C59—21no—
209C4⋊C4×C59—21no—
210C4⋊C4×C59—21no—
211C4⋊C4×C59—22no—
212C4⋊C4×C59—22no—
213C4⋊C4×C59—21no—
214C4⋊C4×C59—21no—
215C4⋊C4×C59—21no—
216C4⋊C4×C59—41no—
217C4⋊C4×C59—41no—
218C4⋊C4×C59—82no—
219C4⋊C4×C59—82no—
220C4⋊C4×C59C2×D411yescharacteristic
221C4⋊C4×C59C2×D412yes—
222C4⋊C4×C59C2×D411yescharacteristic
223C22⋊C4×C59—22no—
224C22⋊C4×C59—22no—
225C22⋊C4×C59—22no—
226C22⋊C4×C59—22no—
227C22⋊C4×C59—22no—
228C22⋊C4×C59—21no—
229C22⋊C4×C59—22no—
230C22⋊C4×C59—22no—
231C22⋊C4×C59—21no—
232C22⋊C4×C59—21no—
233C22⋊C4×C59—22no—
234C22⋊C4×C59—21no—
235C22⋊C4×C59—22no—
236C22⋊C4×C59—21no—
237C22⋊C4×C59—41no—
238C22⋊C4×C59—41no—
239C42×C59—22no—
240C42×C59—21no—
241C23×C59—21no—
242C23×C59—21no—
243C23×C59—22no—
244C23×C59—22no—
245C23×C59—21no—
246C23×C59—41no—
247C23×C59—42no—
248C23×C59—81no—
249C23×C59—81no—
250C23×C59#12011yescharacteristic
251C23×C59#12011yescharacteristic
252C23×C59C22×D411yescharacteristic
253Q8×C59—41no—
254Q8×C59—42no—
255Q8×C59—42no—
256Q8×C59—41no—
257Q8×C59—41no—
258Q8×C59—81no—
259Q8×C59—82no—
260D4×C59—42no—
261D4×C59—41no—
262D4×C59—42no—
263D4×C59—42no—
264D4×C59—41no—
265D4×C59—42no—
266D4×C59—41no—
267D4×C59—42no—
268D4×C59—82no—
269D4×C59—81no—
270D4×C59—82no—
271D4×C59—82no—
272C2×C4×C59—24no—
273C2×C4×C59—21no—
274C2×C4×C59—22no—
275C2×C4×C59—21no—
276C2×C4×C59—22no—
277C2×C4×C59—21no—
278C2×C4×C59—22no—
279C2×C4×C59—22no—
280C2×C4×C59—22no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59—41no—
284C2×C4×C59—41no—
285C2×C4×C59—41no—
286C2×C4×C59—41no—
287C2×C4×C59—42no—
288C2×C4×C59—42no—
289C2×C4×C59—42no—
290C2×C4×C59—42no—
291C2×C4×C59—42no—
292C2×C4×C59—41no—
293C2×C4×C59—41no—
294C2×C4×C59—41no—
295C2×C4×C59—41no—
296C2×C4×C59—81no—
297C2×C4×C59—84no—
298C2×C4×C59—82no—
299C2×C4×C59—82no—
300C2×C4×C59—82no—
301C2×C4×C59#12011yescharacteristic
302C2×C4×C59#12011yescharacteristic
303C2×C4×C59C22×D411yescharacteristic
304C2×C4×C59C22×D411yescharacteristic
305C8×C59—41no—
306C8×C59—41no—
307C8×C59—42no—
308#18425C5911yesmaximal, characteristic, direct product factor, Sylow
309C22×C59—21no—
310C22×C59—21no—
311C22×C59—21no—
312C22×C59—21no—
313C22×C59—21no—
314C22×C59—21no—
315C22×C59—21no—
316C22×C59—42no—
317C22×C59—42no—
318C22×C59—41no—
319C22×C59—42no—
320C22×C59—41no—
321C22×C59—42no—
322C22×C59—41no—
323C22×C59—42no—
324C22×C59—162no—
325C22×C59#45612yes—
326C22×C59C2×#12011yescharacteristic
327C22×C59#57611yescharacteristic
328C22×C59#57711yescharacteristic
329C4×C59—21no—
330C4×C59—21no—
331C4×C59—21no—
332C4×C59—21no—
333C4×C59—44no—
334C4×C59—42no—
335C4×C59—42no—
336C4×C59—41no—
337C4×C59—41no—
338C4×C59—41no—
339C4×C59—42no—
340C4×C59—81no—
341C4×C59—81no—
342#3536C2×C5911yescharacteristic
343#3193C2×C5911yescharacteristic, complemented
344#3190C2×C5911yescharacteristic, complemented
345#2659C2×C5911yescharacteristic, complemented
346#1610C2×C5912yescomplemented
347#1609C2×C5912yescomplemented
348#1604C2×C5912yescomplemented
349#1603C2×C5912yescomplemented
350#1504C2×C5911yescharacteristic, complemented
351C2×#327C2×C5911yescharacteristic, complemented
352#1472C2×C5911yescharacteristic, complemented
353C2×C59—21no—
354C2×C59—22no—
355C2×C59—21no—
356C2×C59—41no—
357C2×C59—81no—
358C2×C59—82no—
359C2×C59#301211yescharacteristic
360C2×C59C2×#45611yescharacteristic
361C2×C59#302611yescharacteristic
362#562—22no—
363#554—21no—
364#548—21no—
365#547—21no—
366#546—21no—
367#546—22no—
368#543—21no—
369#542—21no—
370#539C22×C5912yes—
371#538—21no—
372#537—21no—
373#537C22×C5912yes—
374#525C22×C5911yescharacteristic
375C2×C22⋊Q8C22×C5911yescharacteristic
376C2×C22⋊Q8C22×C5911yescharacteristic
377C2×#121C22×C5911yescharacteristic
378#485—21no—
379#484—21no—
380#483C22×C5911yescharacteristic, complemented
381#480C22×C5912yes—
382#480C22×C5911yescharacteristic, complemented
383#468—22no—
384#467—21no—
385#465—21no—
386#452—21no—
387#451C22×C5911yescharacteristic, complemented
388#450—21no—
389#448C22×C5912yes—
390#448C22×C5911yescharacteristic, complemented
391#407C22×C5911yescharacteristic
392C2×C22⋊C8C22×C5911yescharacteristic
393#398—21no—
394#398C22×C5912yescomplemented
395#395—21no—
396#395C22×C5912yescomplemented
397#380—22no—
398C2×#95C22×C5911yescharacteristic
399#328C22×C5912yescomplemented
400#327C22×C5912yes—
401#327C22×C5912yes—
402#327C22×C5912yescomplemented
403#324C22×C5912yescomplemented
404#324C22×C5912yescomplemented
405C59#1842511yescharacteristic, direct product factor, Sylow
406C2×#41—21no—
407C2×#41—22no—
408C2×#41D4×C5911yescharacteristic
409C22×Q8D4×C5911yescharacteristic
410C22×Q8C23×C5911yescharacteristic
411C22×D4—21no—
412C22×D4D4×C5911yescharacteristic
413C23×C4—21no—
414C23×C4C23×C5911yescharacteristic
415C2×Q16—21no—
416C2×SD16—22no—
417C2×SD16—21no—
418C2×M16—21no—
419C22×C8—21no—
420C4⋊Q8—21no—
421#126—22no—
422#125—22no—
423#124—22no—
424#124—21no—
425#124—22no—
426#123—22no—
427#123—22no—
428#123—22no—
429#123—21no—
430#123—22no—
431C22⋊Q8—21no—
432C22⋊Q8—22no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—22no—
441C22⋊Q8—22no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8—21no—
445C22⋊Q8—21no—
446C22⋊Q8D4×C5911yescharacteristic
447C22⋊Q8C23×C5911yescharacteristic
448#121—21no—
449#121—22no—
450#121—22no—
451#121—22no—
452#121—22no—
453#121—21no—
454#121—21no—
455#121—22no—
456#121D4×C5912yes—
457#121D4×C5911yescharacteristic
458#121C23×C5912yes—
459#121C23×C5911yescharacteristic
460#120—22no—
461#120—21no—
462C4×Q8—21no—
463C4×D4—22no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4—22no—
468#117D4×C5911yescharacteristic
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—22no—
472C2×C4⋊C4—22no—
473C2×C4⋊C4D4×C5911yescharacteristic
474C2×C4⋊C4D4×C5911yescharacteristic
475C2×C4⋊C4C23×C5911yescharacteristic
476C2×C4⋊C4C23×C5912yes—
477C2×C22⋊C4—22no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4D4×C5912yes—
481#107—21no—
482#107—22no—
483#106—21no—
484#103—21no—
485#103—22no—
486#103—21no—
487#103—21no—
488#102—22no—
489#102—21no—
490C22⋊C8—21no—
491C22⋊C8—21no—
492C22⋊C8C23×C5911yescharacteristic
493C22⋊C8C23×C5911yescharacteristic
494C22⋊C8C23×C5912yes—
495#95—21no—
496#95—22no—
497#95—22no—
498#95C23×C5912yes—
499C24—21no—
500C24C2×D4×C5911yescharacteristic
501#41—82no—
502#41—82no—
503#41—81no—
504#41—82no—
505C2×Q8—22no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—81no—
511C2×Q8—81no—
512C2×Q8C2×D4×C5911yescharacteristic
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4—81no—
524C2×D4C2×D4×C5911yescharacteristic
525C2×D4C2×D4×C5912yes—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—81no—
536C22×C4—81no—
537C22×C4—81no—
538C22×C4C2×D4×C5912yes—
539C22×C4C2×D4×C5912yes—
540C22×C4C2×D4×C5911yescharacteristic
541C22×C4C2×D4×C5911yescharacteristic
542C22×C4C2×D4×C5911yescharacteristic
543C22×C4C2×D4×C5911yescharacteristic
544C22×C4C2×D4×C5911yescharacteristic
545C22×C4C24×C5911yescharacteristic
546Q16—81no—
547SD16—81no—
548SD16—82no—
549M16—81no—
550C2×C8—21no—
551C2×C8—22no—
552C2×C8—21no—
553C2×C8—81no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4C2×D4×C5911yescharacteristic
572C4⋊C4C2×D4×C5912yes—
573C4⋊C4C2×D4×C5911yescharacteristic
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—21no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—22no—
587C22⋊C4—21no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C42—22no—
591C42—21no—
592C23—22no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—41no—
598C23—42no—
599C23—81no—
600C23—81no—
601C23#120×C5911yescharacteristic
602C23#120×C5911yescharacteristic
603C23C22×D4×C5911yescharacteristic
604Q8—41no—
605Q8—42no—
606Q8—42no—
607Q8—41no—
608Q8—41no—
609Q8—81no—
610Q8—82no—
611D4—42no—
612D4—41no—
613D4—42no—
614D4—42no—
615D4—42no—
616D4—41no—
617D4—42no—
618D4—41no—
619D4—82no—
620D4—81no—
621D4—82no—
622D4—82no—
623C2×C4—24no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—81no—
648C2×C4—84no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4—82no—
652C2×C4#120×C5911yescharacteristic
653C2×C4#120×C5911yescharacteristic
654C2×C4C22×D4×C5911yescharacteristic
655C2×C4C22×D4×C5911yescharacteristic
656C8—41no—
657C8—41no—
658C8—42no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—42no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—162no—
675C22C59×#45612yes—
676C22C2×#120×C5911yescharacteristic
677C22C59×#57611yescharacteristic
678C22C59×#57711yescharacteristic
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—44no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—81no—
691C4—81no—
692C2—21no—
693C2—22no—
694C2—21no—
695C2—41no—
696C2—82no—
697C2—81no—
698C2C59×#301211yescharacteristic
699C2C2×C59×#45611yescharacteristic
700C2C59×#302611yescharacteristic
subgroupG/H
center, socleC22×C59C2×#120
commutator, Frattini, cosocleC22×C4C24×C59
prime radicalC59×#3536C2
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×#3193C2semidirect
3. C59×#3190C2semidirect
4. C59×#2659C2semidirect
5. C59×#1610C2semidirect
6. C59×#1609C2semidirect
7. C59×#1604C2semidirect
8. C59×#1603C2semidirect
9. C59×#1504C2semidirect
10. C2×C59×#327C2semidirect
11. C59×#1472C2semidirect
30. C59×#483C22semidirect
32. C59×#480C22semidirect
37. C59×#451C22semidirect
40. C59×#448C22semidirect
44. C59×#398C22semidirect
46. C59×#395C22semidirect
49. C59×#328C22semidirect
52. C59×#327C22semidirect
53. C59×#324C22semidirect
54. C59×#324C22semidirect
308. #18425C59direct (N × H)
343. #3193C2×C59semidirect
344. #3190C2×C59semidirect
345. #2659C2×C59semidirect
346. #1610C2×C59semidirect
347. #1609C2×C59semidirect
348. #1604C2×C59semidirect
349. #1603C2×C59semidirect
350. #1504C2×C59semidirect
351. C2×#327C2×C59semidirect
352. #1472C2×C59semidirect
380. #483C22×C59semidirect
382. #480C22×C59semidirect
387. #451C22×C59semidirect
390. #448C22×C59semidirect
394. #398C22×C59semidirect
396. #395C22×C59semidirect
399. #328C22×C59semidirect
402. #327C22×C59semidirect
403. #324C22×C59semidirect
404. #324C22×C59semidirect
405. C59#18425direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35362
C59×#31932
C59×#31902
C59×#26592
C59×#16102
C59×#16092
C59×#16042
C59×#16032
C59×#15042
C2×C59×#3272
C59×#14722
#1842559