Finite Group Databasebeta

← #28639014

Subgroups — #28639014

Order 15104.

924 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×#16837689C211yesmaximal, characteristic, complemented
2C2×#16837474C211yesmaximal, characteristic, complemented
3#21428997C211yesmaximal, characteristic
4#21425533C211yesmaximal, characteristic, complemented
5#21425532C211yesmaximal, characteristic, complemented
6#21425285C211yesmaximal, characteristic, complemented
7#21425278C211yesmaximal, characteristic, complemented
8#21425070C211yesmaximal, characteristic, complemented
9#21424864C211yesmaximal, characteristic, complemented
10#21424532C211yesmaximal, characteristic, complemented
11#21424522C211yesmaximal, characteristic, complemented
12#21424127C211yesmaximal, characteristic, complemented
13#21424119C211yesmaximal, characteristic, complemented
14#21423924C211yesmaximal, characteristic, complemented
15C59×#2547C211yesmaximal, characteristic, complemented
16C22×#11745664C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×#14273701C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837689—24no—
22#16837474—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273647C2211yescharacteristic
29C2×#14273647C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×C22⋊(C59⋊C8)C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34C2×#14273638C2211yescharacteristic
35#16837328—21no—
36#16837310—21no—
37#16837278—21no—
38#16837278—21no—
39#16837268C2211yescharacteristic
40#16837262C2211yescharacteristic
41#16837262C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×C4⋊Q8×C59C2211yescharacteristic
51C2×#124×C59—21no—
52C2×C4×D4×C59C2211yescharacteristic
53C59×#397—21no—
54C59×#397—21no—
55C59×#391—21no—
56C59×#380C2211yescharacteristic
57C59×#380C2211yescharacteristic
58C59×#380C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C4×C4⋊C4×C59C2211yescharacteristic
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C22×C22⋊D59—21no—
64C22×C4×D59—21no—
65C2×#11745664—22no—
66C2×#11745664—22no—
67C2×#11745664—41no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8—22no—
70C22×C59⋊C8—41no—
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75#14273701—22no—
76#14273701—22no—
77#14273701—41no—
78#14273701—41no—
79C4×D236—22no—
80C4×D236—22no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89#14273660—41no—
90#14273658—22no—
91#14273658—22no—
92#14273658—41no—
93C4⋊(C59⋊C8)D414yescomplemented
94#14273647—22no—
95#14273647—22no—
96#14273647—22no—
97#14273647—22no—
98C22⋊(C59⋊C8)—22no—
99C22⋊(C59⋊C8)—22no—
100#14273638—22no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C22×Q8×C59—21no—
106C22×D4×C59D411yescharacteristic
107C23×C4×C59C2311yescharacteristic
108C23×C4×C59C2311yescharacteristic
109C4⋊Q8×C59—22no—
110C4⋊Q8×C59—22no—
111#124×C59—44no—
112C4×D4×C59—22no—
113C4×D4×C59—22no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59D411yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C22⋊C4×C59—21no—
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59D411yescharacteristic
125C2×C22⋊C4×C59D411yescharacteristic
126C2×C42×C59—21no—
127C2×C42×C59C2311yescharacteristic
128#95×C59—21no—
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132#95×C59—21no—
133C24×C59C2×D411yescharacteristic
134C24×C59C2×D411yescharacteristic
135C23×D59—21no—
136C2×Q8×C59—42no—
137C2×Q8×C59—42no—
138C2×Q8×C59—42no—
139C2×D4×C59—22no—
140C2×D4×C59—22no—
141C2×D4×C59—41no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
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—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2411yescharacteristic
163C2×C22⋊D59—42no—
164C2×C22⋊D59—42no—
165C2×C22⋊D59—42no—
166C2×C22⋊D59—42no—
167C2×C22⋊D59—81no—
168C2×C22⋊D59—81no—
169C22×Dic59—21no—
170C22×Dic59—21no—
171C22×Dic59—21no—
172C2×D236—21no—
173C2×D236—21no—
174C2×D236—21no—
175C2×D236—21no—
176C2×D236—21no—
177C2×D236#4112yes—
178C2×C4×D59—42no—
179C2×C4×D59—81no—
180C2×C4×D59—81no—
181C4⋊C4×C59—22no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—42no—
191C22⋊C4×C59—22no—
192C22⋊C4×C59—22no—
193C22⋊C4×C59—42no—
194C22⋊C4×C59—42no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—42no—
197C42×C59—42no—
198C42×C59C2×D412yes—
199C42×C59#4112yes—
200C22⋊Dic59—81no—
201C22⋊Dic59—81no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—42no—
204(C2×D59)⋊C4—42no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211#11745664—44no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—44no—
222C2×C59⋊C8C2×D412yes—
223C2×C59⋊C8C2×D412yes—
224C2×C59⋊C8#4112yes—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59AGL(1,ℤ/8)12yes—
239C23×C59C22×D411yescharacteristic
240C22×D59—22no—
241C22×D59—41no—
242C22×D59—41no—
243C22×D59—41no—
244C22×D59—41no—
245C22×D59—41no—
246C22×D59—41no—
247Q8×C59—84no—
248D4×C59—44no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
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#12112yes—
280C2×C4×C59#12112yes—
281C2×C4×C59C22×D411yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59C2×#4111yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C2×C4×C592−1+411yescharacteristic
287C22⋊D59—84no—
288C22⋊D59—84no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298D236—22no—
299D236—22no—
300D236—41no—
301D236—41no—
302C4×D59—84no—
303C59⋊C8—22no—
304C59⋊C8—22no—
305C59⋊C8—22no—
306C59⋊C8—41no—
307#25354—591nomaximal, Sylow
308C22×C59—22no—
309C22×C59—22no—
310C22×C59—22no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—41no—
319C22×C59—41no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59C2×#12111yescharacteristic
323C22×C59#54611yescharacteristic
324C22×C59#54711yescharacteristic
325C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C59#57511yescharacteristic
327C22×C59#57711yescharacteristic
328C22×C59#57711yescharacteristic
329C2×D59—42no—
330C2×D59—42no—
331C2×D59—42no—
332C2×D59—81no—
333C2×D59—81no—
334C2×D59—81no—
335C2×D59—81no—
336C4×C59—22no—
337C4×C59—22no—
338C4×C59—41no—
339C4×C59—41no—
340C4×C59—81no—
341C4×C59—81no—
342C4×C59—81no—
343C4×C59—81no—
344C4×C59#52911yescharacteristic
345C4×C59#54211yescharacteristic
346C4×C59#54611yescharacteristic
347C4×C59#54811yescharacteristic
348Dic59—81no—
349Dic59—81no—
350Dic59—81no—
351C2×#476—591no—
352C2×#435—591no—
353#2547D5911yescharacteristic, complemented
354#2535—591no—
355#2077—591no—
356#2077—591no—
357#2034—591no—
358#2033—591no—
359#1993—591no—
360#1949—591no—
361#1895—591no—
362#1893—591no—
363#1809—591no—
364#1807—591no—
365#1762—591no—
366C2×C59—42no—
367C2×C59—81no—
368C2×C59#242711yescharacteristic
369C2×C59#305511yescharacteristic
370C2×C59#305711yescharacteristic
371C2×C59#330611yescharacteristic
372C2×C59#331111yescharacteristic
373C2×C59#334511yescharacteristic
374C2×C59#335011yescharacteristic
375D59—82no—
376C22×M16—591no—
377C23×C8—591no—
378C2×C4⋊Q8C2×D5911yescharacteristic
379C2×#124—21no—
380C2×#121—591no—
381C2×#121—591no—
382C2×C4×D4—591no—
383C2×C4×D4C2×D5911yescharacteristic
384#476—1184no—
385#435—1184no—
386C2×#107—591no—
387C2×#106—591no—
388C2×#106—591no—
389C2×#106—591no—
390C2×C4⋊C8—591no—
391C2×#102—591no—
392C2×#102—591no—
393C2×#102—591no—
394C2×#102—591no—
395C2×C22⋊C8—591no—
396C2×C22⋊C8—591no—
397C2×#97—591no—
398#397—21no—
399#397—21no—
400#397—1181no—
401#392—1181no—
402#391—21no—
403#386—1181no—
404#386—1181no—
405#382—591no—
406#380—591no—
407#380—591no—
408#380C2×D5911yescharacteristic
409#380C2×D5911yescharacteristic
410#380C2×D5911yescharacteristic
411#380C2×D5911yescharacteristic
412C4×C4⋊C4C2×D5911yescharacteristic
413#340—591no—
414#340—591no—
415#340—591no—
416#340—591no—
417#340—591no—
418#340—591no—
419#340—591no—
420#340—591no—
421C59#2535411yescharacteristic, complemented, Sylow
422C22×Q8—21no—
423C22×D4—591no—
424C22×D4—1181no—
425C22×D4—1181no—
426C22×D4C22⋊D5911yescharacteristic
427C23×C4—1181no—
428C23×C4C22×D5911yescharacteristic
429C23×C4C22×D5911yescharacteristic
430C2×M16—1182no—
431C2×M16—1182no—
432C2×M16—2361no—
433C22×C8—591no—
434C22×C8—591no—
435C22×C8—591no—
436C22×C8—591no—
437C22×C8—1182no—
438C22×C8—1182no—
439C22×C8—2361no—
440C4⋊Q8—22no—
441C4⋊Q8—22no—
442#124—44no—
443#121—1182no—
444#121—1182no—
445#121—2361no—
446#121—2361no—
447C4×D4—22no—
448C4×D4—22no—
449C4×D4—1182no—
450C4×D4—1182no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—591no—
453C2×C4⋊C4—591no—
454C2×C4⋊C4—591no—
455C2×C4⋊C4C22⋊D5911yescharacteristic
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C4⋊C4C22×D5911yescharacteristic
458C2×C4⋊C4C22×D5911yescharacteristic
459C2×C4⋊C4C22×D5911yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—1181no—
465C2×C22⋊C4—1181no—
466C2×C22⋊C4—1181no—
467C2×C22⋊C4—1181no—
468C2×C22⋊C4—1181no—
469C2×C22⋊C4C22⋊D5911yescharacteristic
470C2×C22⋊C4C22⋊D5911yescharacteristic
471C2×C42—21no—
472C2×C42C22×D5911yescharacteristic
473#107—2361no—
474#106—1182no—
475#106—1182no—
476#106—2361no—
477C4⋊C8—594no—
478#102—1182no—
479#102—1182no—
480#102—1182no—
481#102—1182no—
482C22⋊C8—1182no—
483C22⋊C8—1182no—
484#97—1182no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—1181no—
491#95—1181no—
492#95—1181no—
493#95—1181no—
494C24—1181no—
495C24C2×C22⋊D5911yescharacteristic
496C24C2×C22⋊D5911yescharacteristic
497C2×Q8—42no—
498C2×Q8—42no—
499C2×Q8—42no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—41no—
503C2×D4—592no—
504C2×D4—1181no—
505C2×D4—1181no—
506C2×D4—1181no—
507C2×D4—1181no—
508C2×D4—1181no—
509C2×D4—4721no—
510C2×D4—4721no—
511C2×D4—2362no—
512C2×D4—2362no—
513C2×D4—2362no—
514C2×D4—2362no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—1181no—
532C22×C4—1181no—
533C22×C4—1181no—
534C22×C4—4721no—
535C22×C4—4721no—
536C22×C4—2362no—
537C22×C4C2×C22⋊D5911yescharacteristic
538C22×C4C2×C22⋊D5911yescharacteristic
539C22×C4C2×C22⋊D5911yescharacteristic
540C22×C4C2×C22⋊D5911yescharacteristic
541C22×C4C23×D5911yescharacteristic
542M16—2364no—
543C2×C8—592no—
544C2×C8—592no—
545C2×C8—592no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C2×C8—1181no—
552C2×C8—1181no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—2364no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—42no—
566C4⋊C4—1181no—
567C4⋊C4—1181no—
568C4⋊C4—1181no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—4721no—
579C22⋊C4—4721no—
580C22⋊C4—2362no—
581C22⋊C4—2362no—
582C22⋊C4—2362no—
583C42—42no—
584C42D4×D5912yes—
585C42#1174568712yes—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—1182no—
600C23—2361no—
601C23—2361no—
602C23—2361no—
603C23—2361no—
604C23—2361no—
605C23—2361no—
606C23#1427375312yes—
607C23C22×C22⋊D5911yescharacteristic
608Q8—84no—
609D4—44no—
610D4—1182no—
611D4—1182no—
612D4—4724no—
613D4—4724no—
614D4—2361no—
615D4—2361no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—4724no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4—2361no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4#1427369912yes—
657C2×C4#1427369912yes—
658C2×C4C2×D4×D5911yescharacteristic
659C2×C4#41×D5911yescharacteristic
660C2×C4#41×D5911yescharacteristic
661C2×C4C2×#1174568711yescharacteristic
662C2×C4#1427377311yescharacteristic
663C2×C4#1427377411yescharacteristic
664C8—1182no—
665C8—1182no—
666C8—1182no—
667C8—2361no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—4721no—
683C22—4721no—
684C22—4721no—
685C22—4721no—
686C22—2362no—
687C22—2362no—
688C22—2362no—
689C22C2×#1427369911yescharacteristic
690C22#1683804011yescharacteristic
691C22#1683805111yescharacteristic
692C22C2×#1427375311yescharacteristic
693C22#1683820011yescharacteristic
694C22#1683821011yescharacteristic
695C22#1683821011yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—4721no—
705C4—4721no—
706C4—4721no—
707C4#1683793111yescharacteristic
708C4#1683802111yescharacteristic
709C4#1683804511yescharacteristic
710C4#1683806011yescharacteristic
711C2—42no—
712C2—81no—
713C2—4722no—
714C2#2142767611yescharacteristic
715C2#2143371111yescharacteristic
716C2#2143373711yescharacteristic
717C2#2143605111yescharacteristic
718C2#2143612611yescharacteristic
719C2#2143656611yescharacteristic
720C2#2143664111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2547C2
socleC23×C59C22×D4
prime radical#21428997C2
hypercenter#2547D59
hypocenterC59#25354
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2547

Complements

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

NH ≅ G/Ntype
1. C2×#16837689C2semidirect
2. C2×#16837474C2semidirect
4. #21425533C2semidirect
5. #21425532C2semidirect
6. #21425285C2semidirect
7. #21425278C2semidirect
8. #21425070C2semidirect
9. #21424864C2semidirect
10. #21424532C2semidirect
11. #21424522C2semidirect
12. #21424127C2semidirect
13. #21424119C2semidirect
14. #21423924C2semidirect
15. C59×#2547C2semidirect
93. C4⋊(C59⋊C8)D4semidirect
353. #2547D59semidirect
421. C59#25354semidirect

Maximal subgroups

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

subgroupindex
C2×#168376892
C2×#168374742
#214289972
#214255332
#214255322
#214252852
#214252782
#214250702
#214248642
#214245322
#214245222
#214241272
#214241192
#214239242
C59×#25472
#2535459