Finite Group Databasebeta

← #28600054

Subgroups — #28600054

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
1C2×#16837540C211yesmaximal, characteristic
2#21426680C211yesmaximal, characteristic, complemented
3#21424976C211yesmaximal, characteristic, complemented
4#21424949C211yesmaximal, characteristic, complemented
5#21424785C211yesmaximal, characteristic, complemented
6#21424771C211yesmaximal, characteristic, complemented
7#21424737C211yesmaximal, characteristic, complemented
8#21424730C211yesmaximal, characteristic, complemented
9#21424430C211yesmaximal, characteristic, complemented
10#21424430C211yesmaximal, characteristic, complemented
11#21424419C211yesmaximal, characteristic
12#21424293C211yesmaximal, characteristic, complemented
13#21424030C211yesmaximal, characteristic, complemented
14#21423862C211yesmaximal, characteristic, complemented
15C59×#2324C211yesmaximal, characteristic
16C23×Dic118C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C22×#11745670C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20#16837540C418yescomplemented
21C2×#14273660C2211yescharacteristic
22C2×#14273658C2211yescharacteristic
23C2×#14273650C2211yescharacteristic
24C2×#14273650C2211yescharacteristic
25C2×#14273650C2211yescharacteristic
26C2×#14273650C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×#14273638C2211yescharacteristic
34C2×C4×C59⋊C8C2211yescharacteristic
35#16837308C2211yescharacteristic
36#16837308C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837307—21no—
40#16837307—21no—
41#16837263—21no—
42#16837263—21no—
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49C2×#121×C59C2211yescharacteristic
50C2×C4×D4×C59C2211yescharacteristic
51C2×#117×C59C2211yescharacteristic
52C59×#390—21no—
53C59×#390C2211yescharacteristic
54C59×#389C2211yescharacteristic
55C59×#388—21no—
56C59×#386—21no—
57C59×#385—21no—
58C59×#380C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C22×Dic118—21no—
61C22×Dic118—22no—
62C22×Dic118—41no—
63C22×Dic118—41no—
64C22×Dic118—41no—
65C22×Dic118—41no—
66C22×Dic118C2×C414yescomplemented
67C22×Dic118C2311yescharacteristic
68C22×Dic118C2311yescharacteristic
69C23×Dic59—21no—
70C2×#11745670—41no—
71C2×#11745670—41no—
72C2×#11745670—41no—
73C2×#11745670—41no—
74C2×#11745670C2×C414yes—
75C2×#11745670C2×C414yes—
76C22×C59⋊C8C2311yescharacteristic
77C22×C59⋊C8C2311yescharacteristic
78C22×C59⋊C8C2311yescharacteristic
79C22×C59⋊C8C2311yescharacteristic
80#14273686—41no—
81#14273686—41no—
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C22⋊Dic59—21no—
85C2×C4×Dic59—21no—
86#14273660—41no—
87#14273658—41no—
88#14273650—41no—
89#14273650—41no—
90#14273650—41no—
91#14273650—41no—
92#14273650C2×C414yescomplemented
93#14273650C2×C414yescomplemented
94#14273648—41no—
95#14273648—41no—
96C22⋊(C59⋊C8)—22no—
97C22⋊(C59⋊C8)C2×C414yescomplemented
98#14273638—41no—
99C4×C59⋊C8—41no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×D4×C59—21no—
109C22×D4×C59C2311yescharacteristic
110C23×C4×C59—21no—
111C23×C4×C59C2311yescharacteristic
112#121×C59—22no—
113#121×C59C2×C414yes—
114C4×D4×C59—41no—
115C4×D4×C59—41no—
116#117×C59—41no—
117#117×C59—41no—
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59D411yescharacteristic
120C2×C4⋊C4×C59D411yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C42×C59—21no—
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137C24×C59—21no—
138C24×C59C2×D411yescharacteristic
139C2×D4×C59—24no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—81no—
146C2×D4×C59—81no—
147C2×D4×C59C22×C412yes—
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—42no—
156C22×C4×C59—81no—
157C22×C4×C59—81no—
158C22×C4×C59C22×C412yes—
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59#4112yes—
165C22×C4×C59C2411yescharacteristic
166C22×Dic59—24no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C22×Dic59—21no—
171C22×Dic59—42no—
172C22×Dic59—42no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118—21no—
181C2×Dic118—24no—
182C2×Dic118—21no—
183C2×Dic118—21no—
184C2×Dic118—44no—
185C2×Dic118—44no—
186C2×Dic118—42no—
187C2×Dic118—42no—
188C2×Dic118—44no—
189C2×Dic118—44no—
190C2×Dic118C22×C412yes—
191C2×Dic118C22×C412yes—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C4⋊C4×C59—21no—
197C4⋊C4×C59—41no—
198C4⋊C4×C59—41no—
199C4⋊C4×C59—81no—
200C4⋊C4×C59C22×C412yes—
201C22⋊C4×C59—24no—
202C22⋊C4×C59—41no—
203C22⋊C4×C59—41no—
204C22⋊C4×C59—42no—
205C22⋊C4×C59—81no—
206C22⋊C4×C59—81no—
207C22⋊C4×C59—81no—
208C42×C59—21no—
209C42×C59—21no—
210C42×C59—21no—
211C42×C59—21no—
212C42×C59—81no—
213C22⋊Dic59—42no—
214#11745670—44no—
215#11745670—44no—
216C4⋊Dic59—21no—
217C4⋊Dic59—21no—
218C4⋊Dic59—21no—
219C4⋊Dic59—21no—
220C4×Dic59—42no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8C22×C412yes—
232C2×C59⋊C8C22×C412yes—
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
248D4×C59—22no—
249D4×C59—22no—
250D4×C59—41no—
251D4×C59—41no—
252D4×C59—84no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
259C2×C4×C59—22no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
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×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—84no—
281C2×C4×C59C4×D412yes—
282C2×C4×C59C23×C411yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59H(5,𝔽2)11yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C2×C4×C59H(5,𝔽2)11yescharacteristic
287C2×C4×C59H(5,𝔽2)11yescharacteristic
288C2×Dic59—22no—
289C2×Dic59—22no—
290C2×Dic59—48no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301Dic118—22no—
302Dic118—22no—
303Dic118—22no—
304Dic118—22no—
305Dic118—48no—
306Dic118—41no—
307Dic118—41no—
308Dic118—41no—
309Dic118—41no—
310C59⋊C8—22no—
311C59⋊C8—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—41no—
338C4×C59—41no—
339C4×C59—41no—
340C4×C59—41no—
341C4×C59—42no—
342C4×C59—81no—
343C4×C59—81no—
344C4×C59#51811yescharacteristic
345C4×C59#51811yescharacteristic
346C4×C59#53811yescharacteristic
347C4×C59#53811yescharacteristic
348Dic59—42no—
349Dic59—42no—
350Dic59—81no—
351Dic59—81no—
352C2×#448—591no—
353#2324D5911yescharacteristic
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×Q8—591no—
377C22×SD16—591no—
378C22×SD16—591no—
379C2×#121C2×D5911yescharacteristic
380C2×C4×D4C2×D5911yescharacteristic
381C2×#117—591no—
382C2×#117C2×D5911yescharacteristic
383#448—598no—
384C2×#107—591no—
385C2×#106—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#103—591no—
390C2×#103—591no—
391C2×#103—591no—
392C2×#102—591no—
393C2×#102—591no—
394C2×C22⋊C8—591no—
395C2×C22⋊C8—591no—
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—21no—
405#390C2×D5911yescharacteristic
406#389C2×D5911yescharacteristic
407#388—21no—
408#386—21no—
409#385—21no—
410#381—1181no—
411#381—1181no—
412#380C2×D5911yescharacteristic
413C4×C4⋊C4C2×D5911yescharacteristic
414#340—591no—
415#340—591no—
416#340—591no—
417#340—591no—
418#336—591no—
419#336—591no—
420C59#2205811yescharacteristic, complemented, Sylow
421C22×Q8—594no—
422C22×Q8—591no—
423C22×Q8—591no—
424C22×Q8—1182no—
425C22×Q8—1181no—
426C22×Q8—2361no—
427C22×Q8—2361no—
428C22×Q8—2361no—
429C22×Q8—2361no—
430C22×D4—21no—
431C22×D4C22×D5911yescharacteristic
432C23×C4—21no—
433C23×C4—1181no—
434C23×C4C22×D5911yescharacteristic
435C2×SD16—594no—
436C2×SD16—594no—
437C2×SD16—2361no—
438C2×SD16—2361no—
439C2×SD16—2361no—
440C2×SD16—2361no—
441C22×C8—591no—
442C22×C8—591no—
443C22×C8—591no—
444C22×C8—591no—
445#121—22no—
446#121C4×D5914yes—
447C4×D4—41no—
448C4×D4—41no—
449#117—41no—
450#117—41no—
451#117—2361no—
452#117—2361no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—591no—
455C2×C4⋊C4—591no—
456C2×C4⋊C4C22⋊D5911yescharacteristic
457C2×C4⋊C4C22⋊D5911yescharacteristic
458C2×C4⋊C4C22×D5911yescharacteristic
459C2×C4⋊C4C22×D5911yescharacteristic
460C2×C4⋊C4C22×D5911yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1181no—
467C2×C22⋊C4C22⋊D5911yescharacteristic
468C2×C22⋊C4C22⋊D5911yescharacteristic
469C2×C42—21no—
470C2×C42—1181no—
471C2×C42C22×D5911yescharacteristic
472C2×C42C22×D5911yescharacteristic
473#107—2361no—
474#106—2361no—
475#103—594no—
476#103—594no—
477#103—2361no—
478#103—2361no—
479#103—2361no—
480#103—2361no—
481#102—2361no—
482#102—2361no—
483C22⋊C8—594no—
484C22⋊C8—1182no—
485#97—2361no—
486C4×C8—2361no—
487#95—21no—
488#95—21no—
489#95—21no—
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—
499C24C2×C22⋊D5911yescharacteristic
500C2×Q8—592no—
501C2×Q8—592no—
502C2×Q8—1184no—
503C2×Q8—1181no—
504C2×Q8—1181no—
505C2×Q8—1181no—
506C2×Q8—1181no—
507C2×Q8—1181no—
508C2×Q8—1181no—
509C2×Q8—1181no—
510C2×Q8—1181no—
511C2×Q8—1181no—
512C2×Q8—1181no—
513C2×Q8—2364no—
514C2×Q8—2364no—
515C2×Q8—2362no—
516C2×Q8—2362no—
517C2×Q8—2364no—
518C2×Q8—2364no—
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×D4C2×C4×D5912yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—81no—
537C22×C4—81no—
538C22×C4—1184no—
539C22×C4—1181no—
540C22×C4—1181no—
541C22×C4—1181no—
542C22×C4—1181no—
543C22×C4—2362no—
544C22×C4—2362no—
545C22×C4C2×C4×D5912yes—
546C22×C4#1174568512yes—
547C22×C4C2×C22⋊D5911yescharacteristic
548C22×C4C2×C22⋊D5911yescharacteristic
549C22×C4C2×C22⋊D5911yescharacteristic
550C22×C4C2×C22⋊D5911yescharacteristic
551C22×C4C2×C22⋊D5911yescharacteristic
552C22×C4C23×D5911yescharacteristic
553SD16—2364no—
554SD16—2364no—
555C2×C8—592no—
556C2×C8—592no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—1181no—
561C2×C8—1181no—
562C2×C8—1181no—
563C2×C8—1181no—
564C2×C8—1181no—
565C2×C8—1181no—
566C2×C8—1181no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4—81no—
575C4⋊C4—1181no—
576C4⋊C4—1181no—
577C4⋊C4—1181no—
578C4⋊C4—1181no—
579C4⋊C4C2×C4×D5912yes—
580C22⋊C4—24no—
581C22⋊C4—41no—
582C22⋊C4—41no—
583C22⋊C4—42no—
584C22⋊C4—81no—
585C22⋊C4—81no—
586C22⋊C4—81no—
587C22⋊C4—2362no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—81no—
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—
607C23C4×C22⋊D5912yes—
608C23C22×C22⋊D5911yescharacteristic
609Q8—1182no—
610Q8—1182no—
611Q8—1182no—
612Q8—1182no—
613Q8—2368no—
614Q8—2361no—
615Q8—2361no—
616Q8—2361no—
617Q8—2361no—
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—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—84no—
651C2×C4—1182no—
652C2×C4—1182no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4—2361no—
657C2×C4—2361no—
658C2×C4—2361no—
659C2×C4—2368no—
660C2×C4—2361no—
661C2×C4—2361no—
662C2×C4—2361no—
663C2×C4—2361no—
664C2×C4C4×C22⋊D5912yes—
665C2×C4C22×C4×D5911yescharacteristic
666C2×C4C2×#1174568511yescharacteristic
667C2×C4#1427377211yescharacteristic
668C2×C4#1427377211yescharacteristic
669C2×C4#1427377311yescharacteristic
670C2×C4#1427377311yescharacteristic
671C8—1182no—
672C8—1182no—
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×C4×C22⋊D5911yescharacteristic
690C22#1683796111yescharacteristic
691C22#1683796611yescharacteristic
692C22#1683821311yescharacteristic
693C22#1683821311yescharacteristic
694C22#1683821311yescharacteristic
695C22#1683821711yescharacteristic
696C4—22no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—42no—
702C4—81no—
703C4—81no—
704C4—4721no—
705C4—4721no—
706C4—2362no—
707C4—2362no—
708C4#1683787411yescharacteristic
709C4#1683787411yescharacteristic
710C4#1683798511yescharacteristic
711C4#1683798511yescharacteristic
712C2—42no—
713C2—82no—
714C2#2142675011yescharacteristic
715C2#2143293511yescharacteristic
716C2#2143295311yescharacteristic
717C2#2143496811yescharacteristic
718C2#2143497211yescharacteristic
719C2#2143515111yescharacteristic
720C2#2143519911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2324C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
cosocleC22×C4×C59C24
hypercenter#2324D59
hypocenterC59#22058
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. #21426680C2semidirect
3. #21424976C2semidirect
4. #21424949C2semidirect
5. #21424785C2semidirect
6. #21424771C2semidirect
7. #21424737C2semidirect
8. #21424730C2semidirect
9. #21424430C2semidirect
10. #21424430C2semidirect
12. #21424293C2semidirect
13. #21424030C2semidirect
14. #21423862C2semidirect
20. #16837540C4semidirect
66. C22×Dic118C2×C4semidirect
92. #14273650C2×C4semidirect
93. #14273650C2×C4semidirect
97. C22⋊(C59⋊C8)C2×C4semidirect
420. C59#22058semidirect

Maximal subgroups

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

subgroupindex
C2×#168375402
#214266802
#214249762
#214249492
#214247852
#214247712
#214247372
#214247302
#214244302
#214244192
#214242932
#214240302
#214238622
C59×#23242
#2205859