Finite Group Databasebeta

← #28600064

Subgroups — #28600064

Order 15104.

976 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21426791C211yesmaximal, characteristic
2#21426682C211yesmaximal, characteristic, complemented
3#21424979C211yesmaximal, characteristic, complemented
4#21424952C211yesmaximal, characteristic, complemented
5#21424788C211yesmaximal, characteristic, complemented
6#21424774C211yesmaximal, characteristic, complemented
7#21424739C211yesmaximal, characteristic, complemented
8#21424732C211yesmaximal, characteristic, complemented
9#21424432C211yesmaximal, characteristic, complemented
10#21424432C211yesmaximal, characteristic, complemented
11#21424419C211yesmaximal, characteristic
12#21424297C211yesmaximal, characteristic, complemented
13#21424031C211yesmaximal, characteristic, complemented
14#21423864C211yesmaximal, characteristic, complemented
15C2×C59×#448C211yesmaximal, characteristic
16C2×D4×Dic59C2211yescharacteristic
17C2×#14273686C2211yescharacteristic
18C2×#14273686C2211yescharacteristic
19C2×#14273661C2211yescharacteristic
20C2×#14273659C2211yescharacteristic
21C2×#14273651C2211yescharacteristic
22C2×#14273651C2211yescharacteristic
23C2×#14273651C2211yescharacteristic
24C2×#14273651C2211yescharacteristic
25C2×#14273648C2211yescharacteristic
26C2×#14273648C2211yescharacteristic
27C2×C22⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273637C2211yescharacteristic
29C2×C8×Dic59C2211yescharacteristic
30#16837309—21no—
31#16837309—21no—
32#16837309C2211yescharacteristic
33#16837309C2211yescharacteristic
34#16837309C2211yescharacteristic
35#16837309C2211yescharacteristic
36#16837305—21no—
37#16837305C2211yescharacteristic
38#16837301C2211yescharacteristic
39#16837295—21no—
40#16837282—21no—
41#16837277—21no—
42#16837265—21no—
43#16837265—21no—
44#16837262C2211yescharacteristic
45C4⋊C4×Dic59C2211yescharacteristic
46#16837165C2211yescharacteristic
47#16837165C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837156C2211yescharacteristic
51#16837156C2211yescharacteristic
52C23×Q8×C59C2211yescharacteristic
53C22×SD16×C59C2211yescharacteristic
54C22×SD16×C59C2211yescharacteristic
55C2×#121×C59C2211yescharacteristic
56C59×#448C418yescomplemented
57C2×#103×C59C2211yescharacteristic
58C2×#103×C59C2211yescharacteristic
59C2×C22⋊C8×C59C2211yescharacteristic
60C23×Dic59—21no—
61C22×C59⋊C8C2311yescharacteristic
62C22×C59⋊C8C2311yescharacteristic
63D4×Dic59—41no—
64D4×Dic59—41no—
65#14273686—41no—
66#14273686—41no—
67#14273686—41no—
68#14273686—41no—
69C2×C4⋊Dic59—21no—
70C2×C4⋊Dic59D411yescharacteristic
71C2×C4⋊Dic59D411yescharacteristic
72C2×C4⋊Dic59C2311yescharacteristic
73C2×C4⋊Dic59C2311yescharacteristic
74C2×C4⋊Dic59C2311yescharacteristic
75C2×C4⋊Dic59C2311yescharacteristic
76C2×C22⋊Dic59—21no—
77C2×C22⋊Dic59—21no—
78C2×C22⋊Dic59—21no—
79C2×C22⋊Dic59—21no—
80C2×C22⋊Dic59—21no—
81C2×C22⋊Dic59D411yescharacteristic
82C2×C22⋊Dic59D411yescharacteristic
83C2×C4×Dic59—21no—
84C2×C4×Dic59—21no—
85C2×C4×Dic59C2311yescharacteristic
86C2×C4×Dic59C2311yescharacteristic
87#14273661—41no—
88#14273659—41no—
89#14273651—41no—
90#14273651—41no—
91#14273651—41no—
92#14273651—41no—
93#14273648—41no—
94#14273648—41no—
95C22⋊(C59⋊C8)—22no—
96#14273637—41no—
97C8×Dic59—41no—
98C59⋊#95—21no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C22×Q8×C59—21no—
110C22×Q8×C59—22no—
111C22×Q8×C59—41no—
112C22×Q8×C59—41no—
113C22×Q8×C59—41no—
114C22×Q8×C59—41no—
115C22×Q8×C59C2×C414yescomplemented
116C22×Q8×C59C2311yescharacteristic
117C22×Q8×C59C2311yescharacteristic
118C22×D4×C59—21no—
119C22×D4×C59C2311yescharacteristic
120C23×C4×C59—21no—
121C23×C4×C59C2311yescharacteristic
122C2×SD16×C59—41no—
123C2×SD16×C59—41no—
124C2×SD16×C59—41no—
125C2×SD16×C59—41no—
126C2×SD16×C59C2×C414yes—
127C2×SD16×C59C2×C414yes—
128C22×C8×C59C2311yescharacteristic
129C22×C8×C59C2311yescharacteristic
130#121×C59—22no—
131#121×C59C2×C414yes—
132C2×C4⋊C4×C59C2311yescharacteristic
133C2×C22⋊C4×C59—21no—
134#103×C59C2×C414yescomplemented
135#103×C59C2×C414yescomplemented
136C22⋊C8×C59C2×C414yescomplemented
137C24×C59—21no—
138C24×C59C2×D411yescharacteristic
139C2×Q8×C59—24no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59—21no—
148C2×Q8×C59—21no—
149C2×Q8×C59—21no—
150C2×Q8×C59—44no—
151C2×Q8×C59—44no—
152C2×Q8×C59—42no—
153C2×Q8×C59—42no—
154C2×Q8×C59—44no—
155C2×Q8×C59—44no—
156C2×Q8×C59C22×C412yes—
157C2×Q8×C59C22×C412yes—
158C2×D4×C59—24no—
159C2×D4×C59—21no—
160C2×D4×C59—21no—
161C2×D4×C59—21no—
162C2×D4×C59—21no—
163C2×D4×C59—21no—
164C2×D4×C59—81no—
165C2×D4×C59—81no—
166C2×D4×C59C22×C412yes—
167C22×C4×C59—21no—
168C22×C4×C59—21no—
169C22×C4×C59—21no—
170C22×C4×C59—21no—
171C22×C4×C59—24no—
172C22×C4×C59—21no—
173C22×C4×C59—21no—
174C22×C4×C59—21no—
175C22×C4×C59—42no—
176C22×C4×C59—42no—
177C22×C4×C59C22×C412yes—
178C22×C4×C59C2×D411yescharacteristic
179C22×C4×C59#4112yes—
180C22×C4×C59C2411yescharacteristic
181C22×Dic59—21no—
182C22×Dic59—21no—
183C22×Dic59—21no—
184C22×Dic59—21no—
185C22×Dic59—42no—
186C22×Dic59—81no—
187C22×Dic59—81no—
188C22×Dic59C2×D411yescharacteristic
189C22×Dic59C2×D411yescharacteristic
190C22×Dic59C2×D411yescharacteristic
191C22×Dic59C2×D411yescharacteristic
192SD16×C59—44no—
193SD16×C59—44no—
194C2×C8×C59—21no—
195C2×C8×C59—21no—
196C2×C8×C59—21no—
197C2×C8×C59—21no—
198C2×C8×C59C22×C412yes—
199C2×C8×C59C22×C412yes—
200C4⋊C4×C59—21no—
201C4⋊C4×C59C22×C412yes—
202C22⋊C4×C59—24no—
203C22⋊Dic59—41no—
204C22⋊Dic59—41no—
205C22⋊Dic59—42no—
206C22⋊Dic59—42no—
207C22⋊Dic59—81no—
208C22⋊Dic59—81no—
209C22⋊Dic59—81no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59—21no—
216C4⋊Dic59—21no—
217C4⋊Dic59—21no—
218C4⋊Dic59—41no—
219C4⋊Dic59—41no—
220C4⋊Dic59—81no—
221C4×Dic59—21no—
222C4×Dic59—21no—
223C4×Dic59—21no—
224C4×Dic59—21no—
225C4×Dic59—42no—
226C4×Dic59—81no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—22no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59—41no—
246C23×C59C4×D412yes—
247C23×C59C22×D411yescharacteristic
248Q8×C59—22no—
249Q8×C59—22no—
250Q8×C59—22no—
251Q8×C59—22no—
252Q8×C59—48no—
253Q8×C59—41no—
254Q8×C59—41no—
255Q8×C59—41no—
256Q8×C59—41no—
257D4×C59—22no—
258D4×C59—22no—
259D4×C59—41no—
260D4×C59—41no—
261D4×C59—84no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—22no—
265C2×C4×C59—22no—
266C2×C4×C59—22no—
267C2×C4×C59—22no—
268C2×C4×C59—22no—
269C2×C4×C59—22no—
270C2×C4×C59—22no—
271C2×C4×C59—48no—
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×C59C4×D412yes—
279C2×C4×C59C23×C411yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59H(5,𝔽2)11yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×C4×C59H(5,𝔽2)11yescharacteristic
284C2×C4×C59H(5,𝔽2)11yescharacteristic
285C2×Dic59—21no—
286C2×Dic59—21no—
287C2×Dic59—21no—
288C2×Dic59—21no—
289C2×Dic59—21no—
290C2×Dic59—21no—
291C2×Dic59—21no—
292C2×Dic59—21no—
293C2×Dic59—21no—
294C2×Dic59—21no—
295C2×Dic59—21no—
296C2×Dic59—21no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302C2×Dic59—41no—
303C2×Dic59—41no—
304C2×Dic59—41no—
305C2×Dic59—41no—
306C2×Dic59—41no—
307C2×Dic59—41no—
308C2×Dic59—41no—
309C2×Dic59—84no—
310C8×C59—22no—
311C8×C59—22no—
312C59⋊C8—41no—
313C59⋊C8—41no—
314#22058—591nomaximal, Sylow
315C22×C59—22no—
316C22×C59—22no—
317C22×C59—22no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59—42no—
323C22×C59—42no—
324C22×C59—42no—
325C22×C59—81no—
326C22×C59—81no—
327C22×C59—81no—
328C22×C59—81no—
329C22×C59C2×C4×D411yescharacteristic
330C22×C59#53411yescharacteristic
331C22×C59#53511yescharacteristic
332C22×C59#57711yescharacteristic
333C22×C59#57711yescharacteristic
334C22×C59#57711yescharacteristic
335C22×C59#57811yescharacteristic
336C4×C59—22no—
337C4×C59—42no—
338C4×C59—42no—
339C4×C59—42no—
340C4×C59#51811yescharacteristic
341C4×C59#51811yescharacteristic
342C4×C59#53811yescharacteristic
343C4×C59#53811yescharacteristic
344Dic59—41no—
345Dic59—41no—
346Dic59—41no—
347Dic59—41no—
348Dic59—81no—
349Dic59—81no—
350Dic59—81no—
351Dic59—81no—
352C2×#448D5911yescharacteristic
353#2324—591no—
354#2310—591no—
355#1973—591no—
356#1968—591no—
357#1935—591no—
358#1933—591no—
359#1928—591no—
360#1927—591no—
361#1877—591no—
362#1877—591no—
363#1875—591no—
364#1854—591no—
365#1787—591no—
366#1750—591no—
367C2×C59—42no—
368C2×C59—82no—
369C2×C59#232111yescharacteristic
370C2×C59#294711yescharacteristic
371C2×C59#294911yescharacteristic
372C2×C59#320011yescharacteristic
373C2×C59#320111yescharacteristic
374C2×C59#322111yescharacteristic
375C2×C59#322511yescharacteristic
376C23×Q8C2×D5911yescharacteristic
377C22×SD16C2×D5911yescharacteristic
378C22×SD16C2×D5911yescharacteristic
379C2×#121C2×D5911yescharacteristic
380C2×C4×D4—591no—
381C2×#117—591no—
382C2×#117—591no—
383#448Dic5918yescomplemented
384C2×#107—591no—
385C2×#106—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#103—591no—
390C2×#103C2×D5911yescharacteristic
391C2×#103C2×D5911yescharacteristic
392C2×#102—591no—
393C2×#102—591no—
394C2×C22⋊C8—591no—
395C2×C22⋊C8C2×D5911yescharacteristic
396C2×#97—591no—
397C2×C4×C8—591no—
398#391—591no—
399#391—591no—
400#391—591no—
401#391—591no—
402#391—1181no—
403#391—1181no—
404#390—591no—
405#390—1181no—
406#389—591no—
407#388—1181no—
408#386—1181no—
409#385—1181no—
410#381—1181no—
411#381—1181no—
412#380—591no—
413C4×C4⋊C4—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417#340—591no—
418#336—591no—
419#336—591no—
420C59#2205811yescharacteristic, complemented, Sylow
421C22×Q8—21no—
422C22×Q8—22no—
423C22×Q8—41no—
424C22×Q8—41no—
425C22×Q8—41no—
426C22×Q8—41no—
427C22×Q8C2×Dic5914yescomplemented
428C22×Q8C22×D5911yescharacteristic
429C22×Q8C22×D5911yescharacteristic
430C22×D4—21no—
431C22×D4C22×D5911yescharacteristic
432C23×C4—21no—
433C23×C4—1181no—
434C23×C4C22×D5911yescharacteristic
435C2×SD16—41no—
436C2×SD16—41no—
437C2×SD16—41no—
438C2×SD16—41no—
439C2×SD16C2×Dic5914yes—
440C2×SD16C2×Dic5914yes—
441C22×C8—591no—
442C22×C8—591no—
443C22×C8C22×D5911yescharacteristic
444C22×C8C22×D5911yescharacteristic
445#121—22no—
446#121C2×Dic5914yes—
447C4×D4—2361no—
448C4×D4—2361no—
449#117—2361no—
450#117—2361no—
451#117—2361no—
452#117—2361no—
453C2×C4⋊C4—591no—
454C2×C4⋊C4—591no—
455C2×C4⋊C4—591no—
456C2×C4⋊C4—591no—
457C2×C4⋊C4—591no—
458C2×C4⋊C4—591no—
459C2×C4⋊C4—1181no—
460C2×C4⋊C4C22×D5911yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—591no—
463C2×C22⋊C4—591no—
464C2×C22⋊C4—1181no—
465C2×C22⋊C4—1181no—
466C2×C22⋊C4—1181no—
467C2×C22⋊C4—1181no—
468C2×C22⋊C4—1181no—
469C2×C42—591no—
470C2×C42—591no—
471C2×C42—1181no—
472C2×C42—1181no—
473#107—2361no—
474#106—2361no—
475#103—2361no—
476#103—2361no—
477#103—2361no—
478#103—2361no—
479#103C2×Dic5914yescomplemented
480#103C2×Dic5914yescomplemented
481#102—2361no—
482#102—2361no—
483C22⋊C8—1182no—
484C22⋊C8C2×Dic5914yescomplemented
485#97—2361no—
486C4×C8—2361no—
487#95—1181no—
488#95—1181no—
489#95—1181no—
490#95—1181no—
491#95—1181no—
492#95—1181no—
493#95—1181no—
494#95—1181no—
495#95—1181no—
496#95—1181no—
497#95—1181no—
498C24—21no—
499C24D4×D5911yescharacteristic
500C2×Q8—24no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8C22×Dic5912yes—
518C2×Q8C22×Dic5912yes—
519C2×D4—24no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—81no—
526C2×D4—81no—
527C2×D4C22×Dic5912yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—24no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—591no—
539C22×C4—591no—
540C22×C4—591no—
541C22×C4—591no—
542C22×C4—1181no—
543C22×C4—1181no—
544C22×C4—1181no—
545C22×C4—1181no—
546C22×C4—4721no—
547C22×C4—4721no—
548C22×C4—2362no—
549C22×C4D4×D5911yescharacteristic
550C22×C4#1174568712yes—
551C22×C4C22×Dic5912yes—
552C22×C4C23×D5911yescharacteristic
553SD16—44no—
554SD16—44no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—1181no—
560C2×C8—1181no—
561C2×C8—1181no—
562C2×C8—1181no—
563C2×C8—1181no—
564C2×C8—1181no—
565C2×C8C22×Dic5912yes—
566C2×C8C22×Dic5912yes—
567C4⋊C4—21no—
568C4⋊C4—1181no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4—1181no—
574C4⋊C4—1181no—
575C4⋊C4—1181no—
576C4⋊C4—4721no—
577C4⋊C4—2361no—
578C4⋊C4—2361no—
579C4⋊C4C22×Dic5912yes—
580C22⋊C4—24no—
581C22⋊C4—4721no—
582C22⋊C4—4721no—
583C22⋊C4—4721no—
584C22⋊C4—2361no—
585C22⋊C4—2361no—
586C22⋊C4—2362no—
587C22⋊C4—2362no—
588C42—1181no—
589C42—1181no—
590C42—1181no—
591C42—1181no—
592C42—4721no—
593C42—2362no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23D4×Dic5912yes—
608C23C2×D4×D5911yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—48no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618D4—22no—
619D4—22no—
620D4—41no—
621D4—41no—
622D4—84no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—48no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—1181no—
640C2×C4—1181no—
641C2×C4—1181no—
642C2×C4—1181no—
643C2×C4—1181no—
644C2×C4—1181no—
645C2×C4—1181no—
646C2×C4—1181no—
647C2×C4—1181no—
648C2×C4—1181no—
649C2×C4—1181no—
650C2×C4—1181no—
651C2×C4—4724no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4—2361no—
657C2×C4—2361no—
658C2×C4—2361no—
659C2×C4—2361no—
660C2×C4—2361no—
661C2×C4—2361no—
662C2×C4—2361no—
663C2×C4—2361no—
664C2×C4D4×Dic5912yes—
665C2×C4C23×Dic5911yescharacteristic
666C2×C4C2×#1174568711yescharacteristic
667C2×C4#1427377211yescharacteristic
668C2×C4#1427377211yescharacteristic
669C2×C4#1427377211yescharacteristic
670C2×C4#1427377211yescharacteristic
671C8—22no—
672C8—22no—
673C8—2361no—
674C8—2361no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×D4×Dic5911yescharacteristic
690C22#1683796211yescharacteristic
691C22#1683796711yescharacteristic
692C22#1683820811yescharacteristic
693C22#1683820811yescharacteristic
694C22#1683821111yescharacteristic
695C22#1683821811yescharacteristic
696C4—22no—
697C4—42no—
698C4—42no—
699C4—42no—
700C4—4721no—
701C4—4721no—
702C4—4721no—
703C4—4721no—
704C4—2361no—
705C4—2361no—
706C4—2361no—
707C4—2361no—
708C4#1683787711yescharacteristic
709C4#1683787711yescharacteristic
710C4#1683798711yescharacteristic
711C4#1683798711yescharacteristic
712C2—42no—
713C2—82no—
714C2#2142675711yescharacteristic
715C2#2143294011yescharacteristic
716C2#2143295611yescharacteristic
717C2#2143496611yescharacteristic
718C2#2143497411yescharacteristic
719C2#2143515311yescharacteristic
720C2#2143520311yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#448C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
cosocleC22×C4×C59C24
hypercenterC2×#448D59
hypocenterC59#22058
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

Complements

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

NH ≅ G/Ntype
2. #21426682C2semidirect
3. #21424979C2semidirect
4. #21424952C2semidirect
5. #21424788C2semidirect
6. #21424774C2semidirect
7. #21424739C2semidirect
8. #21424732C2semidirect
9. #21424432C2semidirect
10. #21424432C2semidirect
12. #21424297C2semidirect
13. #21424031C2semidirect
14. #21423864C2semidirect
56. C59×#448C4semidirect
115. C22×Q8×C59C2×C4semidirect
134. #103×C59C2×C4semidirect
135. #103×C59C2×C4semidirect
136. C22⋊C8×C59C2×C4semidirect
383. #448Dic59semidirect
420. C59#22058semidirect
427. C22×Q8C2×Dic59semidirect
479. #103C2×Dic59semidirect
480. #103C2×Dic59semidirect
484. C22⋊C8C2×Dic59semidirect

Maximal subgroups

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

subgroupindex
#214267912
#214266822
#214249792
#214249522
#214247882
#214247742
#214247392
#214247322
#214244322
#214244192
#214242972
#214240312
#214238642
C2×C59×#4482
#2205859