Finite Group Databasebeta

← #28607079

Subgroups — #28607079

Order 15104.

1134 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
1C2×C4×#11745669C211yesmaximal, characteristic
2C2×#16837482C211yesmaximal, characteristic
3C2×#16837482C211yesmaximal, characteristic
4#21426997C211yesmaximal, characteristic, complemented
5D4×Dic59⋊C4C211yesmaximal, characteristic, complemented
6#21424828C211yesmaximal, characteristic, complemented
7#21424826C211yesmaximal, characteristic, complemented
8#21424346C211yesmaximal, characteristic, complemented
9#21424345C211yesmaximal, characteristic, complemented
10#21424340C211yesmaximal, characteristic, complemented
11#21424254C211yesmaximal, characteristic, complemented
12#21424095C211yesmaximal, characteristic, complemented
13#21424094C211yesmaximal, characteristic, complemented
14#21423957C211yesmaximal, characteristic, complemented
15C59×#1862C211yesmaximal, characteristic, complemented
16C22×#11745669C2211yescharacteristic
17C2×C4×D236C2211yescharacteristic
18C2×D4×Dic59C2211yescharacteristic
19C2×D4×Dic59C2211yescharacteristic
20C2×#14273689C2211yescharacteristic
21C2×#14273689C2211yescharacteristic
22C22×Dic59⋊C4—21no—
23C2×C4⋊C4×D59—21no—
24C4×#11745669—24no—
25#16837482—24no—
26#16837482C418yescomplemented
27C2×#14273661C2211yescharacteristic
28C2×#14273660C2211yescharacteristic
29C2×#14273660C2211yescharacteristic
30C2×#14273660C2211yescharacteristic
31C2×Dic59⋊C8C2211yescharacteristic
32C2×#14273649C2211yescharacteristic
33C2×#14273649C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×#14273647C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37C2×C8×Dic59C2211yescharacteristic
38C2×C8×Dic59C2211yescharacteristic
39#16837301C2211yescharacteristic
40#16837300C2211yescharacteristic
41#16837298C2211yescharacteristic
42#16837276—21no—
43#16837275—21no—
44#16837274—21no—
45#16837273—21no—
46#16837271C2211yescharacteristic
47#16837271C2211yescharacteristic
48#16837261—21no—
49#16837260—21no—
50C4×Dic59⋊C4C2211yescharacteristic
51#16837165C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837156C2211yescharacteristic
55C2×C4×D4×C59C2211yescharacteristic
56C2×#107×C59C2211yescharacteristic
57C2×#102×C59C2211yescharacteristic
58C2×#102×C59C2211yescharacteristic
59C59×#389C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#336C2211yescharacteristic
62C22×D236C2311yescharacteristic
63C23×Dic59—21no—
64C23×Dic59—21no—
65C22×C4×D59—21no—
66C22×C4×D59—21no—
67C22×C4×D59—21no—
68C2×#11745669C2×C414yes—
69C2×#11745669D414yes—
70C2×#11745669Q814yes—
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C4×D236—22no—
74C4×D236—41no—
75D4×Dic59—22no—
76D4×Dic59—22no—
77D4×Dic59—41no—
78D4×Dic59C2×C414yescomplemented
79#14273689—22no—
80#14273689—22no—
81#14273689—41no—
82#14273689C2×C414yescomplemented
83C2×C4⋊Dic59—21no—
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C4⋊Dic59C2311yescharacteristic
86C2×C4⋊Dic59C2311yescharacteristic
87C2×Dic59⋊C4—21no—
88C2×Dic59⋊C4—21no—
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4—21no—
91C2×Dic59⋊C4—21no—
92C2×Dic59⋊C4—21no—
93C2×Dic59⋊C4—44no—
94C2×Dic59⋊C4D411yescharacteristic
95C2×Dic59⋊C4D411yescharacteristic
96C4⋊C4×D59—44no—
97C2×C22⋊Dic59—21no—
98C2×C22⋊Dic59—21no—
99C2×(C2×D59)⋊C4—21no—
100C2×(C2×D59)⋊C4—21no—
101C2×(C2×D59)⋊C4—21no—
102C2×C4×Dic59C2311yescharacteristic
103C2×C4×Dic59C2311yescharacteristic
104#14273661—41no—
105#14273660—22no—
106#14273660—22no—
107#14273660C2×C414yescomplemented
108Dic59⋊C8—22no—
109#14273649—22no—
110#14273649C2×C414yescomplemented
111#14273648—22no—
112#14273647—22no—
113C4×C59⋊C8—22no—
114C8×Dic59—22no—
115C8×Dic59C2×C414yescomplemented
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95D411yescharacteristic
120C59⋊#95D411yescharacteristic
121C22×D4×C59C2311yescharacteristic
122C23×C4×C59—21no—
123C22×C8×C59C2311yescharacteristic
124C22×C8×C59C2311yescharacteristic
125C4×D4×C59—22no—
126C4×D4×C59—41no—
127C2×C4⋊C4×C59—21no—
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C22⋊C4×C59—21no—
132C2×C42×C59C2311yescharacteristic
133#107×C59—41no—
134#102×C59—22no—
135#102×C59C2×C414yescomplemented
136#95×C59—21no—
137C24×C59—21no—
138C23×D59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59C22×C412yes—
143C2×D4×C59C2×D412yes—
144C2×D4×C59C2×Q812yes—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—42no—
149C22×C4×C59—42no—
150C22×C4×C59—81no—
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2411yescharacteristic
154C22×Dic59—21no—
155C22×Dic59—24no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—42no—
159C22×Dic59—42no—
160C22×Dic59—42no—
161C22×Dic59—42no—
162C22×Dic59—81no—
163C22×Dic59C2×D411yescharacteristic
164C22×Dic59C2×D411yescharacteristic
165C22×Dic59C2×D411yescharacteristic
166C22×Dic59C2×D411yescharacteristic
167C2×D236—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236C22×C412yes—
171C2×D236C2×D412yes—
172C2×D236C2×Q812yes—
173C2×C4×D59—24no—
174C2×C4×D59—42no—
175C2×C4×D59—42no—
176C2×C4×D59—42no—
177C2×C4×D59—42no—
178C2×C4×D59—42no—
179C2×C4×D59—42no—
180C2×C4×D59—81no—
181C2×C4×D59—81no—
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59—21no—
185C2×C8×C59—21no—
186C2×C8×C59—21no—
187C2×C8×C59C22×C412yes—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—42no—
194C4⋊C4×C59C22×C412yes—
195C22⋊C4×C59—42no—
196C42×C59—21no—
197C42×C59—21no—
198C22⋊Dic59—24no—
199C22⋊Dic59—42no—
200#11745669C4⋊C4116yescomplemented
201(C2×D59)⋊C4—24no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—42no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—42no—
210C4⋊Dic59C22×C412yes—
211Dic59⋊C4—22no—
212Dic59⋊C4—42no—
213Dic59⋊C4—42no—
214Dic59⋊C4—42no—
215Dic59⋊C4—42no—
216Dic59⋊C4—81no—
217Dic59⋊C4—81no—
218Dic59⋊C4D814yescomplemented
219C4×Dic59—21no—
220C4×Dic59—21no—
221C4×Dic59C22×C412yes—
222C4×Dic59#4112yes—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8C22×C412yes—
227C2×C59⋊C8C2×D412yes—
228C2×C59⋊C8C2×Q812yes—
229C23×C59—22no—
230C23×C59—22no—
231C23×C59—22no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59C22×D411yescharacteristic
237C22×D59—22no—
238C22×D59—22no—
239C22×D59—22no—
240C22×D59—41no—
241C22×D59—41no—
242C22×D59—41no—
243C22×D59—41no—
244D4×C59—22no—
245D4×C59—22no—
246D4×C59—22no—
247D4×C59C2×C4⋊C414yescomplemented
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—22no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
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—41no—
261C2×C4×C59—41no—
262C2×C4×C59—84no—
263C2×C4×C59C2×D812yes—
264C2×C4×C59C23×C411yescharacteristic
265C2×C4×C59C22×D411yescharacteristic
266C2×C4×C59C22×Q811yescharacteristic
267C2×C4×C59C2×#4111yescharacteristic
268C2×C4×C59H(5,𝔽2)11yescharacteristic
269C2×C4×C592−1+411yescharacteristic
270C2×Dic59—21no—
271C2×Dic59—21no—
272C2×Dic59—21no—
273C2×Dic59—21no—
274C2×Dic59—22no—
275C2×Dic59—21no—
276C2×Dic59—21no—
277C2×Dic59—21no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—48no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—84no—
288C2×Dic59C4×D412yes—
289C2×Dic59C4×D412yes—
290C2×Dic59C2×D812yes—
291C2×Dic59C2×D812yes—
292C2×Dic59#13512yes—
293D236—22no—
294D236—22no—
295D236—22no—
296D236C2×C4⋊C414yescomplemented
297C4×D59—48no—
298C4×D59—84no—
299C4×D59—84no—
300C8×C59—22no—
301C8×C59—41no—
302C59⋊C8—41no—
303C59⋊C8C2×C4⋊C414yescomplemented
304C4⋊C4×D8—591nomaximal, Sylow
305C22×C59—24no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—42no—
312C22×C59C2×C4×D411yescharacteristic
313C22×C59D4211yescharacteristic
314C22×C59D4×Q811yescharacteristic
315C22×C59C22×D811yescharacteristic
316C22×C59C2×#13511yescharacteristic
317C22×C59#57611yescharacteristic
318C22×C59#57811yescharacteristic
319C2×D59—24no—
320C2×D59—42no—
321C2×D59—42no—
322C2×D59—42no—
323C2×D59—42no—
324C2×D59—42no—
325C2×D59—42no—
326C4×C59—22no—
327C4×C59—42no—
328C4×C59—41no—
329C4×C59—81no—
330C4×C59—81no—
331C4×C59C22×C4⋊C411yescharacteristic
332C4×C59#52011yescharacteristic
333C4×C59#54711yescharacteristic
334C4×C59#55411yescharacteristic
335Dic59—22no—
336Dic59—22no—
337Dic59—42no—
338Dic59—41no—
339Dic59—81no—
340Dic59—81no—
341Dic59C4×D814yescomplemented
342C2×C4×D8—591no—
343C2×C4×D8—591no—
344C2×C4×D8—591no—
345D4×C4⋊C4—591no—
346D4×C4⋊C4—591no—
347#1942—591no—
348#1942—591no—
349#1862—591no—
350#1862—591no—
351#1862—591no—
352#1862D5911yescharacteristic, complemented
353#1845—591no—
354#1802—591no—
355#1802—591no—
356C8×C4⋊C4—591no—
357C2×C59—44no—
358C2×C59D4×C4⋊C411yescharacteristic
359C2×C59C2×C4×D811yescharacteristic
360C2×C59#295111yescharacteristic
361C2×C59D4×D811yescharacteristic
362C2×C59#328311yescharacteristic
363C2×C59Q8×D811yescharacteristic
364C2×C59#338011yescharacteristic
365D59—44no—
366C22×D8—591no—
367C2×C4×D4—591no—
368C2×C4×D4—591no—
369C2×C4×D4—591no—
370C2×C4×D4—591no—
371C2×C4×D4—591no—
372C2×C4×D4C2×D5911yescharacteristic
373C22×C4⋊C4—1181no—
374C22×C4⋊C4—1181no—
375C4×D8—598no—
376C4×D8—1184no—
377C4×D8—1184no—
378C2×#107—591no—
379C2×#107—591no—
380C2×#107—591no—
381C2×#107—591no—
382C2×#107C2×D5911yescharacteristic
383C2×C4⋊C8—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102C2×D5911yescharacteristic
389C2×#102C2×D5911yescharacteristic
390C2×C4×C8—591no—
391C2×C4×C8—591no—
392C2×C4×C8—591no—
393#389—591no—
394#389—591no—
395#389—591no—
396#389C2×D5911yescharacteristic
397#385—1181no—
398#385—1181no—
399#385—1181no—
400#385—1181no—
401#384—591no—
402#384—591no—
403#380—1181no—
404#380—1181no—
405C4×C4⋊C4—591no—
406#340—591no—
407#340—591no—
408#340—591no—
409#340C2×D5911yescharacteristic
410#336—591no—
411#336C2×D5911yescharacteristic
412C59C4⋊C4×D811yescharacteristic, complemented, Sylow
413C22×D4—591no—
414C22×D4C22×D5911yescharacteristic
415C23×C4—21no—
416C23×C4—1181no—
417C23×C4—1181no—
418C23×C4—1181no—
419C23×C4—1181no—
420C23×C4—1181no—
421C2×D8—594no—
422C2×D8—594no—
423C2×D8—594no—
424C22×C8—591no—
425C22×C8—591no—
426C22×C8C22×D5911yescharacteristic
427C22×C8C22×D5911yescharacteristic
428C4×D4—22no—
429C4×D4—41no—
430C4×D4—594no—
431C4×D4—594no—
432C4×D4—1182no—
433C4×D4—1182no—
434C4×D4—1182no—
435C4×D4—1182no—
436C4×D4—1182no—
437C4×D4—2361no—
438C4×D4—2361no—
439C4×D4—2361no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—591no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—1181no—
450C2×C4⋊C4—1181no—
451C2×C4⋊C4—1181no—
452C2×C4⋊C4—1181no—
453C2×C4⋊C4—2364no—
454C2×C4⋊C4—2364no—
455C2×C4⋊C4C22×D5911yescharacteristic
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C4⋊C4C22×D5911yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1181no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4—1181no—
463C2×C22⋊C4—1181no—
464C2×C42—591no—
465C2×C42—591no—
466C2×C42C22×D5911yescharacteristic
467#107—41no—
468#107—594no—
469#107—1182no—
470#107—1182no—
471#107—2361no—
472C4⋊C8—1182no—
473#102—22no—
474#102—594no—
475#102—1182no—
476#102—1182no—
477#102—1182no—
478#102C4×D5914yescomplemented
479C4×C8—594no—
480C4×C8—1182no—
481C4×C8—1182no—
482#95—21no—
483#95—591no—
484#95—591no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488C24—21no—
489C24—1181no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—592no—
494C2×D4—592no—
495C2×D4—592no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4C2×C4×D5912yes—
500C2×D4D4×D5912yes—
501C2×D4Q8×D5912yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—81no—
508C22×C4—591no—
509C22×C4—591no—
510C22×C4—591no—
511C22×C4—591no—
512C22×C4—1184no—
513C22×C4—1184no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4—1181no—
517C22×C4—4721no—
518C22×C4—4721no—
519C22×C4—4721no—
520C22×C4—2362no—
521C22×C4—2362no—
522C22×C4—2362no—
523C22×C4—2362no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4—2362no—
527C22×C4—2362no—
528C22×C4—2362no—
529C22×C4—2362no—
530C22×C4D4×D5911yescharacteristic
531C22×C4D4×D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533D8—5916no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—592no—
540C2×C8—592no—
541C2×C8—592no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8C2×C4×D5912yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—594no—
553C4⋊C4—592no—
554C4⋊C4—1182no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C4⋊C4—4721no—
561C4⋊C4—4721no—
562C4⋊C4—2362no—
563C4⋊C4—2362no—
564C4⋊C4—2362no—
565C4⋊C4—2362no—
566C4⋊C4—2362no—
567C4⋊C4C2×C4×D5912yes—
568C22⋊C4—42no—
569C22⋊C4—1184no—
570C22⋊C4—1184no—
571C22⋊C4—2362no—
572C22⋊C4—2362no—
573C22⋊C4—2362no—
574C42—21no—
575C42—21no—
576C42—592no—
577C42—592no—
578C42—1181no—
579C42—1181no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—1182no—
588C23—1182no—
589C23—1182no—
590C23—2361no—
591C23—2361no—
592C23—2361no—
593C23—2361no—
594C23C2×D4×D5911yescharacteristic
595D4—22no—
596D4—22no—
597D4—22no—
598D4—594no—
599D4—1182no—
600D4—1182no—
601D4—1182no—
602D4C4⋊C4×D5914yescomplemented
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4—592no—
619C2×C4—592no—
620C2×C4—592no—
621C2×C4—592no—
622C2×C4—592no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—1181no—
626C2×C4—1181no—
627C2×C4—1181no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1182no—
631C2×C4—4724no—
632C2×C4—4724no—
633C2×C4—4724no—
634C2×C4—2368no—
635C2×C4—2368no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4D8×D5912yes—
645C2×C4C22×C4×D5911yescharacteristic
646C2×C4C2×D4×D5911yescharacteristic
647C2×C4C2×Q8×D5911yescharacteristic
648C2×C4#41×D5911yescharacteristic
649C2×C4#1427377211yescharacteristic
650C2×C4#1427377411yescharacteristic
651C8—22no—
652C8—41no—
653C8—594no—
654C8—2361no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—1184no—
663C22—2362no—
664C22—2362no—
665C22—2362no—
666C22—2362no—
667C22—2362no—
668C22—2362no—
669C22C4×D4×D5911yescharacteristic
670C22#1683803411yescharacteristic
671C22#1683806511yescharacteristic
672C22C2×D8×D5911yescharacteristic
673C22#135×D5911yescharacteristic
674C22#1683820611yescharacteristic
675C22#1683821811yescharacteristic
676C4—22no—
677C4—42no—
678C4—41no—
679C4—81no—
680C4—81no—
681C4—594no—
682C4—1182no—
683C4—1182no—
684C4—4721no—
685C4—4721no—
686C4—2362no—
687C4—2361no—
688C4C2×C4⋊C4×D5911yescharacteristic
689C4#1683788111yescharacteristic
690C4#1683805011yescharacteristic
691C4#1683810611yescharacteristic
692C2—44no—
693C2—2364no—
694C2#2142699411yescharacteristic
695C2C4×D8×D5911yescharacteristic
696C2#2143296811yescharacteristic
697C2#2143576611yescharacteristic
698C2#2143581111yescharacteristic
699C2#2143694611yescharacteristic
700C2#2143695811yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1862C2
socleC23×C59C22×D4
prime radicalC22×#11745669C22
cosocleC22×C4×C59C24
hypercenter#1862D59
hypocenterC59C4⋊C4×D8
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1862

Complements

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

NH ≅ G/Ntype
4. #21426997C2semidirect
5. D4×Dic59⋊C4C2semidirect
6. #21424828C2semidirect
7. #21424826C2semidirect
8. #21424346C2semidirect
9. #21424345C2semidirect
10. #21424340C2semidirect
11. #21424254C2semidirect
12. #21424095C2semidirect
13. #21424094C2semidirect
14. #21423957C2semidirect
15. C59×#1862C2semidirect
26. #16837482C4semidirect
78. D4×Dic59C2×C4semidirect
82. #14273689C2×C4semidirect
107. #14273660C2×C4semidirect
110. #14273649C2×C4semidirect
115. C8×Dic59C2×C4semidirect
135. #102×C59C2×C4semidirect
200. #11745669C4⋊C4semidirect
218. Dic59⋊C4D8semidirect
247. D4×C59C2×C4⋊C4semidirect
296. D236C2×C4⋊C4semidirect
303. C59⋊C8C2×C4⋊C4semidirect
341. Dic59C4×D8semidirect
352. #1862D59semidirect
412. C59C4⋊C4×D8semidirect
478. #102C4×D59semidirect
602. D4C4⋊C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117456692
C2×#168374822
#214269972
D4×Dic59⋊C42
#214248282
#214248262
#214243462
#214243452
#214243402
#214242542
#214240952
#214240942
#214239572
C59×#18622
C4⋊C4×D859