Finite Group Databasebeta

← #28511422

Subgroups — #28511422

Order 15104.

2222 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273683C211yesmaximal, characteristic
2C2×#16837277C211yesmaximal, characteristic
3C2×#16837263C211yesmaximal, characteristic
4C22×C59⋊#95C211yesmaximal, characteristic
5#21422350C212yesmaximal, complemented
6#21422346C212yesmaximal, complemented
7#21422325C212yesmaximal, complemented
8#21422320C212yesmaximal, complemented
9#21422319C211yesmaximal, characteristic
10#21422318C211yesmaximal, characteristic
11C2×C59×#385C211yesmaximal, characteristic
12C24×Dic59C2211yescharacteristic
13C24×Dic59C2211yescharacteristic
14C2×#14273683—24no—
15C2×#14273683—24no—
16C2×#14273683C418yescomplemented
17C22×C4⋊Dic59C2212yes—
18C22×Dic59⋊C4C2212yes—
19C22×C22⋊Dic59C2211yescharacteristic
20C22×C22⋊Dic59C2211yescharacteristic
21C22×C4×Dic59C2212yes—
22#16837277—24no—
23#16837263—24no—
24C2×C59⋊#95—24no—
25C2×C59⋊#95C2211yescharacteristic
26C2×C59⋊#95C2212yes—
27C2×C59⋊#95C2212yes—
28C2×C59⋊#95C2212yes—
29C2×C59⋊#95C2211yescharacteristic
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2211yescharacteristic
32C2×C59⋊#95C2211yescharacteristic
33C2×C59⋊#95C2212yes—
34C2×C59⋊#95C2212yes—
35C2×C59⋊#95C2212yes—
36C24×C4×C59C2211yescharacteristic
37C22×C4⋊C4×C59C2212yes—
38C22×C22⋊C4×C59C2211yescharacteristic
39C22×C22⋊C4×C59C2211yescharacteristic
40C59×#385—24no—
41C2×#95×C59C2212yes—
42C23×Dic59—22no—
43C23×Dic59—22no—
44C23×Dic59—22no—
45C23×Dic59—22no—
46C23×Dic59—22no—
47C23×Dic59—24no—
48C23×Dic59—22no—
49C23×Dic59—22no—
50C23×Dic59—42no—
51C23×Dic59C2×C414yes—
52C23×Dic59D414yes—
53C23×Dic59Q814yes—
54C23×Dic59C2311yescharacteristic
55C23×Dic59C2311yescharacteristic
56C23×Dic59C2312yes—
57C23×Dic59C2312yes—
58C23×Dic59C2311yescharacteristic
59C23×Dic59C2311yescharacteristic
60#14273683—232no—
61C2×C4⋊Dic59—24no—
62C2×C4⋊Dic59—24no—
63C2×C4⋊Dic59—42no—
64C2×Dic59⋊C4—24no—
65C2×Dic59⋊C4—24no—
66C2×Dic59⋊C4C2×C418yescomplemented
67C2×C22⋊Dic59—22no—
68C2×C22⋊Dic59—22no—
69C2×C22⋊Dic59—22no—
70C2×C22⋊Dic59—22no—
71C2×C22⋊Dic59—22no—
72C2×C22⋊Dic59C2×C414yes—
73C2×C4×Dic59—24no—
74C2×C4×Dic59—24no—
75C2×C4×Dic59C2×C418yescomplemented
76C59⋊#95—24no—
77C59⋊#95—24no—
78C59⋊#95—24no—
79C59⋊#95—24no—
80C59⋊#95—22no—
81C59⋊#95—22no—
82C59⋊#95—22no—
83C59⋊#95—22no—
84C59⋊#95—24no—
85C59⋊#95—42no—
86C59⋊#95—42no—
87C25×C59C2311yescharacteristic
88C23×C4×C59—22no—
89C23×C4×C59—24no—
90C23×C4×C59—22no—
91C23×C4×C59—22no—
92C23×C4×C59—42no—
93C23×C4×C59C2311yescharacteristic
94C23×C4×C59C2311yescharacteristic
95C23×C4×C59C2312yes—
96C23×C4×C59C2312yes—
97C2×C4⋊C4×C59—24no—
98C2×C4⋊C4×C59—24no—
99C2×C4⋊C4×C59—42no—
100C2×C22⋊C4×C59—22no—
101C2×C22⋊C4×C59—22no—
102C2×C22⋊C4×C59—22no—
103C2×C22⋊C4×C59C2×C414yes—
104C2×C22⋊C4×C59D414yes—
105C2×C22⋊C4×C59D414yes—
106#95×C59—24no—
107C24×C59—22no—
108C24×C59—22no—
109C24×C59—22no—
110C24×C59—22no—
111C24×C59C22×C412yes—
112C24×C59C2×D412yes—
113C24×C59C2×D412yes—
114C24×C59C2×D412yes—
115C24×C59C2×Q812yes—
116C24×C59#4112yes—
117C24×C59#4112yes—
118C24×C59C2411yescharacteristic
119C22×C4×C59—22no—
120C22×C4×C59—22no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—28no—
124C22×C4×C59—22no—
125C22×C4×C59—22no—
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—21no—
134C22×C4×C59—21no—
135C22×C4×C59—21no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—48no—
141C22×C4×C59—48no—
142C22×C4×C59—44no—
143C22×C4×C59—44no—
144C22×C4×C59C22×C414yes—
145C22×C4×C59C2×D414yes—
146C22×C4×C59C2×D414yes—
147C22×C4×C59#4114yes—
148C22×Dic59—28no—
149C22×Dic59—28no—
150C22×Dic59—28no—
151C22×Dic59—28no—
152C22×Dic59—28no—
153C22×Dic59—28no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—21no—
161C22×Dic59—21no—
162C22×Dic59—28no—
163C22×Dic59—22no—
164C22×Dic59—22no—
165C22×Dic59—22no—
166C22×Dic59—22no—
167C22×Dic59—22no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59—22no—
171C22×Dic59—22no—
172C22×Dic59—22no—
173C22×Dic59—22no—
174C22×Dic59—22no—
175C22×Dic59—21no—
176C22×Dic59—21no—
177C22×Dic59—21no—
178C22×Dic59—21no—
179C22×Dic59—22no—
180C22×Dic59—21no—
181C22×Dic59—21no—
182C22×Dic59—22no—
183C22×Dic59—22no—
184C22×Dic59—22no—
185C22×Dic59—48no—
186C22×Dic59—48no—
187C22×Dic59—44no—
188C22×Dic59—44no—
189C22×Dic59C4⋊C4116yescomplemented
190C22×Dic59C22×C414yes—
191C22×Dic59C22×C412yes—
192C22×Dic59C22×C412yes—
193C22×Dic59C2×D412yes—
194C22×Dic59C2×D412yes—
195C22×Dic59C2×Q812yes—
196C22×Dic59C2×Q812yes—
197C22×Dic59#4114yes—
198C4⋊C4×C59—48no—
199C22⋊C4×C59—44no—
200C22⋊C4×C59C22⋊C4116yes—
201C22⋊Dic59—28no—
202C22⋊Dic59—44no—
203C4⋊Dic59—48no—
204Dic59⋊C4—216no—
205C4×Dic59—216no—
206C23×C59—24no—
207C23×C59—24no—
208C23×C59—22no—
209C23×C59—22no—
210C23×C59—24no—
211C23×C59—22no—
212C23×C59—22no—
213C23×C59—24no—
214C23×C59—24no—
215C23×C59—24no—
216C23×C59—24no—
217C23×C59—24no—
218C23×C59—24no—
219C23×C59—24no—
220C23×C59—24no—
221C23×C59—24no—
222C23×C59C2×C22⋊C414yes—
223C23×C59C2×C4⋊C414yes—
224C23×C59#11714yes—
225C23×C59#12114yes—
226C23×C59#12114yes—
227C23×C59C22⋊Q814yes—
228C23×C59C22⋊Q814yes—
229C23×C59C23×C411yescharacteristic
230C23×C59C22×D411yescharacteristic
231C23×C59C22×D411yescharacteristic
232C23×C59C22×D411yescharacteristic
233C23×C59C22×Q811yescharacteristic
234C23×C59C2×#4112yes—
235C23×C59C2×#4111yescharacteristic
236C23×C59C2×#4112yes—
237C23×C59C2×#4111yescharacteristic
238C23×C59H(5,𝔽2)12yes—
239C23×C592−1+412yes—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—24no—
245C2×C4×C59—24no—
246C2×C4×C59—24no—
247C2×C4×C59—24no—
248C2×C4×C59—24no—
249C2×C4×C59—416no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—42no—
261C2×C4×C59—42no—
262C2×C4×C59—42no—
263C2×C4×C59—42no—
264C2×C4×C59C2×C22⋊C418yes—
265C2×Dic59—22no—
266C2×Dic59—22no—
267C2×Dic59—22no—
268C2×Dic59—22no—
269C2×Dic59—22no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—22no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—22no—
277C2×Dic59—232no—
278C2×Dic59—24no—
279C2×Dic59—24no—
280C2×Dic59—24no—
281C2×Dic59—24no—
282C2×Dic59—24no—
283C2×Dic59—24no—
284C2×Dic59—416no—
285C2×Dic59—42no—
286C2×Dic59—42no—
287C2×Dic59—42no—
288C2×Dic59—42no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59—42no—
292C2×Dic59—42no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—42no—
300C2×Dic59—42no—
301C2×Dic59—42no—
302C2×Dic59—42no—
303C2×Dic59C2×C4⋊C414yes—
304C2×Dic59C2×C4⋊C414yes—
305#13962—591nomaximal, Sylow
306C22×C59—24no—
307C22×C59—28no—
308C22×C59—28no—
309C22×C59—24no—
310C22×C59—24no—
311C22×C59—24no—
312C22×C59—24no—
313C22×C59—28no—
314C22×C59—28no—
315C22×C59—24no—
316C22×C59#38018yes—
317C22×C59C22×C22⋊C411yescharacteristic
318C22×C59C22×C4⋊C411yescharacteristic
319C22×C59C2×#11711yescharacteristic
320C22×C59C4×#4112yes—
321C22×C59#52012yes—
322C22×C59C2×#12111yescharacteristic
323C22×C59C2×#12111yescharacteristic
324C22×C59C2×C22⋊Q811yescharacteristic
325C22×C59C2×C22⋊Q811yescharacteristic
326C22×C59#52511yescharacteristic
327C22×C59#52511yescharacteristic
328C22×C59#53312yes—
329C22×C59#53511yescharacteristic
330C22×C59#53611yescharacteristic
331C22×C59#54412yes—
332C22×C59#54612yes—
333C22×C59#54612yes—
334C22×C59#54712yes—
335C22×C59#54712yes—
336C22×C59#55112yes—
337C22×C59#55112yes—
338C22×C59#55212yes—
339C22×C59#55212yes—
340C4×C59—28no—
341C4×C59—44no—
342C4×C59—81no—
343C4×C59—81no—
344Dic59—24no—
345Dic59—24no—
346Dic59—44no—
347Dic59—44no—
348Dic59—81no—
349Dic59—81no—
350C22×#117—591no—
351C2×#385—591no—
352C2×#385D5911yescharacteristic
353C2×#381—591no—
354C22×#95—591no—
355#1441—592no—
356#1441—592no—
357C4⋊#95—592no—
358#1434—592no—
359C22⋊#95—591no—
360C22⋊#95—591no—
361C2×C59—28no—
362C2×C59C2×#38011yescharacteristic
363C2×C59#229611yescharacteristic
364C2×C59#231711yescharacteristic
365C2×C59#233912yes—
366C2×C59#234312yes—
367C2×C59#241111yescharacteristic
368C2×C59#241111yescharacteristic
369C2×C59#241311yescharacteristic
370C2×C59#241311yescharacteristic
371C2×C59#243812yes—
372C2×C59#243812yes—
373C24×C4—591no—
374C24×C4—591no—
375C24×C4C2×D5911yescharacteristic
376C2×#117—598no—
377C2×#117—1184no—
378C2×#117—1184no—
379C22×C4⋊C4—592no—
380C22×C4⋊C4—592no—
381C22×C4⋊C4C2×D5912yes—
382C22×C22⋊C4—591no—
383C22×C22⋊C4—591no—
384C22×C22⋊C4C2×D5911yescharacteristic
385C22×C22⋊C4C2×D5911yescharacteristic
386C22×C42—592no—
387#385—24no—
388#385—1184no—
389#381—1184no—
390C2×#95—592no—
391C2×#95—592no—
392C2×#95—591no—
393C2×#95—592no—
394C2×#95—592no—
395C2×#95—591no—
396C2×#95—592no—
397C2×#95—591no—
398C2×#95—591no—
399C2×#95—592no—
400C2×#95—592no—
401C2×#95—1184no—
402C2×#95C2×D5912yes—
403C59#1396211yescharacteristic, complemented, Sylow
404C25C22×D5911yescharacteristic
405C23×C4—22no—
406C23×C4—24no—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—42no—
410C23×C4—594no—
411C23×C4—594no—
412C23×C4—594no—
413C23×C4—591no—
414C23×C4—591no—
415C23×C4—592no—
416C23×C4—592no—
417C23×C4—591no—
418C23×C4—591no—
419C23×C4—1184no—
420C23×C4—1182no—
421C23×C4—1182no—
422C23×C4—1182no—
423C23×C4—1182no—
424C23×C4—1182no—
425C23×C4—1182no—
426C23×C4—1182no—
427C23×C4—2362no—
428C23×C4C22×D5911yescharacteristic
429C23×C4C22×D5911yescharacteristic
430C23×C4C22×D5912yes—
431C23×C4C22×D5912yes—
432#117—11832no—
433C2×C4⋊C4—24no—
434C2×C4⋊C4—24no—
435C2×C4⋊C4—42no—
436C2×C4⋊C4—598no—
437C2×C4⋊C4—1184no—
438C2×C4⋊C4—1184no—
439C2×C4⋊C4—1184no—
440C2×C4⋊C4—1184no—
441C2×C4⋊C4—2362no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—594no—
446C2×C22⋊C4—1182no—
447C2×C22⋊C4—1182no—
448C2×C22⋊C4—1182no—
449C2×C22⋊C4—1182no—
450C2×C22⋊C4—1182no—
451C2×C22⋊C4C4×D5914yes—
452C2×C22⋊C4D23614yes—
453C2×C22⋊C4C22⋊D5914yes—
454C2×C42—598no—
455C2×C42—1184no—
456C2×C42—1184no—
457#95—24no—
458#95—1184no—
459#95—1184no—
460#95—1184no—
461#95—1182no—
462#95—1182no—
463#95—1182no—
464#95—1182no—
465#95—1184no—
466#95—1184no—
467#95—2362no—
468#95—2362no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24C2×C4×D5912yes—
474C24C2×D23612yes—
475C24D4×D5912yes—
476C24#1174568712yes—
477C24Q8×D5912yes—
478C24#1174568912yes—
479C24C2×C22⋊D5912yes—
480C24C23×D5911yescharacteristic
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—28no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—5916no—
507C22×C4—592no—
508C22×C4—592no—
509C22×C4—592no—
510C22×C4—592no—
511C22×C4—592no—
512C22×C4—592no—
513C22×C4—594no—
514C22×C4—594no—
515C22×C4—1188no—
516C22×C4—1188no—
517C22×C4—1188no—
518C22×C4—1188no—
519C22×C4—1188no—
520C22×C4—1188no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—1181no—
526C22×C4—1181no—
527C22×C4—1181no—
528C22×C4—1181no—
529C22×C4—1188no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1182no—
535C22×C4—1182no—
536C22×C4—1182no—
537C22×C4—1182no—
538C22×C4—1182no—
539C22×C4—1182no—
540C22×C4—1182no—
541C22×C4—1182no—
542C22×C4—1181no—
543C22×C4—1181no—
544C22×C4—1181no—
545C22×C4—1181no—
546C22×C4—1182no—
547C22×C4—1182no—
548C22×C4—1181no—
549C22×C4—1181no—
550C22×C4—1182no—
551C22×C4—1182no—
552C22×C4—2368no—
553C22×C4—2368no—
554C22×C4—2364no—
555C22×C4—2364no—
556C22×C4C2×C4×D5914yes—
557C22×C4C2×D23614yes—
558C22×C4#1174568714yes—
559C22×C4C2×C22⋊D5914yes—
560C4⋊C4—48no—
561C4⋊C4—11816no—
562C4⋊C4—2368no—
563C22⋊C4—44no—
564C22⋊C4—1188no—
565C22⋊C4—2364no—
566C22⋊C4(C2×D59)⋊C4116yes—
567C42—11816no—
568C23—22no—
569C23—22no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23C2×(C2×D59)⋊C414yes—
585C23C4⋊C4×D5914yes—
586C23#1427368514yes—
587C23#1427369814yes—
588C23#1427370214yes—
589C23#1427370314yes—
590C23#1427370714yes—
591C23C22×C4×D5911yescharacteristic
592C23C2×D4×D5911yescharacteristic
593C23C22×C22⋊D5911yescharacteristic
594C23C22×D23611yescharacteristic
595C23C2×Q8×D5911yescharacteristic
596C23#41×D5912yes—
597C23C2×#1174568711yescharacteristic
598C23C2×#1174568712yes—
599C23C2×#1174568911yescharacteristic
600C23#1427377212yes—
601C23#1427377412yes—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—416no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—594no—
627C2×C4—594no—
628C2×C4—1182no—
629C2×C4—1182no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—1182no—
634C2×C4—1182no—
635C2×C4—1182no—
636C2×C4—11832no—
637C2×C4—1182no—
638C2×C4—1182no—
639C2×C4—1182no—
640C2×C4—1182no—
641C2×C4—1184no—
642C2×C4—1184no—
643C2×C4—1184no—
644C2×C4—1184no—
645C2×C4—1184no—
646C2×C4—1184no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4—2361no—
652C2×C4—2361no—
653C2×C4—2362no—
654C2×C4—2362no—
655C2×C4—2362no—
656C2×C4—2362no—
657C2×C4—23616no—
658C2×C4—2362no—
659C2×C4—2362no—
660C2×C4—2362no—
661C2×C4—2362no—
662C2×C4—2362no—
663C2×C4—2362no—
664C2×C4—2362no—
665C2×C4—2362no—
666C2×C4C2×(C2×D59)⋊C418yes—
667C22—28no—
668C22—24no—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—24no—
673C22—28no—
674C22—28no—
675C22—24no—
676C22—28no—
677C22#1683725918yes—
678C22C22×(C2×D59)⋊C411yescharacteristic
679C22C2×C4⋊C4×D5911yescharacteristic
680C22C2×#1427368511yescharacteristic
681C22C4×#1174568712yes—
682C22#1683788112yes—
683C22C2×#1427369811yescharacteristic
684C22C2×#1427370211yescharacteristic
685C22C2×#1427370311yescharacteristic
686C22C2×#1427370711yescharacteristic
687C22#1683790811yescharacteristic
688C22#1683791011yescharacteristic
689C22#1683795412yes—
690C22#1683796711yescharacteristic
691C22#1683797411yescharacteristic
692C22#1683803112yes—
693C22#1683804612yes—
694C22#1683804712yes—
695C22#1683805112yes—
696C22#1683805612yes—
697C22#1683807912yes—
698C22#1683808312yes—
699C22#1683808912yes—
700C22#1683809412yes—
701C4—28no—
702C4—44no—
703C4—81no—
704C4—81no—
705C4—1184no—
706C4—1184no—
707C4—4721no—
708C4—4721no—
709C4—2364no—
710C4—2364no—
711C2—28no—
712C2C2×#1683725911yescharacteristic
713C2#2142657511yescharacteristic
714C2#2142671511yescharacteristic
715C2#2142692112yes—
716C2#2142695412yes—
717C2#2142747711yescharacteristic
718C2#2142747911yescharacteristic
719C2#2142749911yescharacteristic
720C2#2142750111yescharacteristic
721C2#2142776812yes—
722C2#2142777012yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC2×C59×#385C2
socle, cosocleC24×C59C24
prime radicalC25×C59C23
hypercenterC2×#385D59
hypocenterC59#13962
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
5. #21422350C2semidirect
6. #21422346C2semidirect
7. #21422325C2semidirect
8. #21422320C2semidirect
16. C2×#14273683C4semidirect
66. C2×Dic59⋊C4C2×C4semidirect
75. C2×C4×Dic59C2×C4semidirect
189. C22×Dic59C4⋊C4semidirect
403. C59#13962semidirect

Maximal subgroups

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

subgroupindex
C22×#142736832
C2×#168372772
C2×#168372632
C22×C59⋊#952
#214223502
#214223462
#214223252
#214223202
#214223192
#214223182
C2×C59×#3852
#1396259