Finite Group Databasebeta

← #28611116

Subgroups — #28611116

Order 15104.

1046 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837599C211yesmaximal, characteristic
2C2×#16837502C211yesmaximal, characteristic, complemented
3C2×C4×#11745670C211yesmaximal, characteristic, complemented
4#21427016C211yesmaximal, characteristic, complemented
5#21424921C211yesmaximal, characteristic
6#21424864C211yesmaximal, characteristic, complemented
7#21424796C211yesmaximal, characteristic, complemented
8#21424782C211yesmaximal, characteristic, complemented
9#21424454C211yesmaximal, characteristic, complemented
10#21424454C211yesmaximal, characteristic, complemented
11#21424357C211yesmaximal, characteristic, complemented
12#21424343C211yesmaximal, characteristic, complemented
13#21423971C211yesmaximal, characteristic, complemented
14#21423929C211yesmaximal, characteristic, complemented
15C59×#2366C211yesmaximal, characteristic
16C22×#11745670C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C2×C4×Dic118C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×Dic118C2211yescharacteristic
21#16837599C418yescomplemented
22#16837502—24no—
23C4×#11745670—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×#14273638C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837300C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837297—21no—
41#16837297—21no—
42#16837268C2211yescharacteristic
43#16837266—21no—
44#16837253—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×#127×C59C2211yescharacteristic
52C2×C4×D4×C59—21no—
53C2×C4×D4×C59C2211yescharacteristic
54C2×C4×D4×C59C2211yescharacteristic
55C59×#390—21no—
56C59×#390C2211yescharacteristic
57C59×#390C2211yescharacteristic
58C59×#386—21no—
59C59×#386—21no—
60C4×C4⋊C4×C59C2211yescharacteristic
61C4×C4⋊C4×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C2×#11745670—22no—
64C2×#11745670—22no—
65C2×#11745670—22no—
66C2×#11745670—22no—
67C2×#11745670C2×C414yescomplemented
68C2×#11745670C2×C414yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C4×Dic118—22no—
74C4×Dic118—22no—
75C4×Dic118—22no—
76C4×Dic118—41no—
77C4×Dic118—41no—
78C4×Dic118C2×C414yescomplemented
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×C4×Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90#14273660—22no—
91#14273658—22no—
92C4⋊(C59⋊C8)C2×C414yescomplemented
93#14273650—22no—
94#14273650D414yescomplemented
95#14273648—22no—
96#14273648—22no—
97#14273648—41no—
98#14273648—41no—
99#14273648C2×C414yescomplemented
100#14273648C2×C414yescomplemented
101#14273638—22no—
102#14273638—22no—
103C4×C59⋊C8—22no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×D4×C59—21no—
109C22×D4×C59—21no—
110C22×D4×C59C2311yescharacteristic
111C22×D4×C59C2311yescharacteristic
112C23×C4×C59—21no—
113C23×C4×C59—21no—
114#127×C59—22no—
115#127×C59C2×C414yes—
116C4×D4×C59—22no—
117C4×D4×C59—22no—
118C4×D4×C59—41no—
119C4×D4×C59—41no—
120C4×D4×C59—44no—
121C2×C4⋊C4×C59D411yescharacteristic
122C2×C4⋊C4×C59D411yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59—21no—
130C2×C22⋊C4×C59—21no—
131C2×C42×C59—21no—
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134C2×C42×C59C2311yescharacteristic
135#95×C59—21no—
136#95×C59D411yescharacteristic
137#95×C59D411yescharacteristic
138C24×C59—21no—
139C24×C59—21no—
140C2×D4×C59—24no—
141C2×D4×C59—24no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59—21no—
151C2×D4×C59—21no—
152C2×D4×C59—42no—
153C2×D4×C59—42no—
154C2×D4×C59—81no—
155C2×D4×C59—81no—
156C2×D4×C59C22×C412yes—
157C2×D4×C59C22×C412yes—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—42no—
161C22×C4×C59—42no—
162C22×C4×C59—42no—
163C22×C4×C59—42no—
164C22×C4×C59—81no—
165C22×C4×C59—81no—
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59C2411yescharacteristic
173C22×Dic59—21no—
174C22×Dic59—21no—
175C22×Dic59—21no—
176C22×Dic59—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118C22×C412yes—
181C2×Dic118C2×D412yes—
182C2×Dic118#4112yes—
183C4⋊C4×C59—22no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—41no—
188C4⋊C4×C59C2×D412yes—
189C22⋊C4×C59—42no—
190C22⋊C4×C59—42no—
191C22⋊C4×C59—42no—
192C22⋊C4×C59—42no—
193C22⋊C4×C59—81no—
194C22⋊C4×C59—81no—
195C42×C59—21no—
196C42×C59—21no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59—42no—
200C42×C59C22×C412yes—
201C42×C59#4112yes—
202#11745670—28no—
203#11745670—28no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59C22×C412yes—
210Dic59⋊C4—24no—
211Dic59⋊C4—42no—
212Dic59⋊C4—42no—
213Dic59⋊C4—42no—
214Dic59⋊C4—42no—
215C4×Dic59—24no—
216C4×Dic59—42no—
217C4×Dic59—42no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
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⋊C8C22×C412yes—
228C2×C59⋊C8C22×C412yes—
229C2×C59⋊C8C2×D412yes—
230C23×C59—22no—
231C23×C59—22no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59C22×D411yescharacteristic
245D4×C59—22no—
246D4×C59—22no—
247D4×C59—22no—
248D4×C59—22no—
249D4×C59—48no—
250D4×C59—41no—
251D4×C59—41no—
252D4×C59—41no—
253D4×C59—41no—
254D4×C59—84no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—22no—
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—41no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59—41no—
276C2×C4×C59—84no—
277C2×C4×C59—84no—
278C2×C4×C59C4×D412yes—
279C2×C4×C59C4×D412yes—
280C2×C4×C59AGL(1,ℤ/8)12yes—
281C2×C4×C59C23×C411yescharacteristic
282C2×C4×C59C22×D411yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59C2×#4111yescharacteristic
285C2×C4×C59H(5,𝔽2)11yescharacteristic
286C2×C4×C592−1+411yescharacteristic
287C2×Dic59—22no—
288C2×Dic59—22no—
289C2×Dic59—22no—
290C2×Dic59—22no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299Dic118—22no—
300Dic118—22no—
301Dic118—22no—
302Dic118C4×D414yescomplemented
303C59⋊C8—22no—
304C59⋊C8—22no—
305C59⋊C8—22no—
306C59⋊C8—41no—
307#23010—591nomaximal, Sylow
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—42no—
312C22×C59—42no—
313C22×C59—42no—
314C22×C59—81no—
315C22×C59—81no—
316C22×C59—81no—
317C22×C59—81no—
318C22×C59—81no—
319C22×C59—81no—
320C22×C59—81no—
321C22×C59—81no—
322C22×C59C2×C4×D411yescharacteristic
323C22×C59D4211yescharacteristic
324C22×C59#54811yescharacteristic
325C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C59#57511yescharacteristic
327C22×C59#57711yescharacteristic
328C22×C59#57711yescharacteristic
329C4×C59—22no—
330C4×C59—22no—
331C4×C59—22no—
332C4×C59—41no—
333C4×C59—42no—
334C4×C59—41no—
335C4×C59—41no—
336C4×C59—81no—
337C4×C59C2×C4×D411yescharacteristic
338C4×C59#52011yescharacteristic
339C4×C59#54711yescharacteristic
340C4×C59#55311yescharacteristic
341Dic59—24no—
342Dic59—42no—
343Dic59—81no—
344Dic59—81no—
345C2×#460—591no—
346C2×#440—591no—
347C2×C4×SD16—591no—
348#2366D5911yescharacteristic
349#2351—591no—
350#1961—591no—
351#1949—591no—
352#1936—591no—
353#1934—591no—
354#1880—591no—
355#1880—591no—
356#1864—591no—
357#1862—591no—
358#1771—591no—
359#1763—591no—
360C2×C59—82no—
361C2×C59—82no—
362C2×C59#236111yescharacteristic
363C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
364C2×C59#294911yescharacteristic
365C2×C59#326511yescharacteristic
366C2×C59#327111yescharacteristic
367C2×C59#336811yescharacteristic
368C2×C59#337111yescharacteristic
369C22×SD16—591no—
370C22×SD16—591no—
371C2×#127C2×D5911yescharacteristic
372C2×C4×Q8—591no—
373C2×C4×Q8—591no—
374C2×C4×Q8—591no—
375C2×C4×D4—21no—
376C2×C4×D4C2×D5911yescharacteristic
377C2×C4×D4C2×D5911yescharacteristic
378#460—598no—
379#440—1184no—
380C4×SD16—1184no—
381C2×#107—591no—
382C2×#106—591no—
383C2×C4⋊C8—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×#102—591no—
390C2×#102—591no—
391C2×#102—591no—
392C2×#97—591no—
393C2×#97—591no—
394C2×C4×C8—591no—
395#390—21no—
396#390C2×D5911yescharacteristic
397#390C2×D5911yescharacteristic
398#389—591no—
399#389—591no—
400#389—1181no—
401#389—1181no—
402#386—21no—
403#386—21no—
404#382—591no—
405#382—1181no—
406C4×C4⋊C4—1181no—
407C4×C4⋊C4C2×D5911yescharacteristic
408C4×C4⋊C4C2×D5911yescharacteristic
409#340—591no—
410#340—591no—
411#340—591no—
412#340—591no—
413#336—591no—
414#336—591no—
415C59#2301011yescharacteristic, complemented, Sylow
416C22×Q8—591no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4C22×D5911yescharacteristic
420C22×D4C22×D5911yescharacteristic
421C23×C4—21no—
422C23×C4—21no—
423C2×SD16—594no—
424C2×SD16—594no—
425C2×SD16—1182no—
426C2×SD16—1182no—
427C2×SD16—1182no—
428C2×SD16—1182no—
429C22×C8—591no—
430C22×C8—591no—
431C22×C8—591no—
432C22×C8—591no—
433#127—22no—
434#127C4×D5914yes—
435C4×Q8—594no—
436C4×Q8—1182no—
437C4×Q8—1182no—
438C4×Q8—1182no—
439C4×Q8—2361no—
440C4×Q8—2361no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—41no—
444C4×D4—41no—
445C4×D4—44no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—591no—
449C2×C4⋊C4—1181no—
450C2×C4⋊C4—1181no—
451C2×C4⋊C4—1181no—
452C2×C4⋊C4—1181no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4C22⋊D5911yescharacteristic
455C2×C4⋊C4C22⋊D5911yescharacteristic
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C4⋊C4C22×D5911yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C42—21no—
465C2×C42—1181no—
466C2×C42—1181no—
467C2×C42—1181no—
468C2×C42C22×D5911yescharacteristic
469C2×C42C22×D5911yescharacteristic
470C2×C42C22×D5911yescharacteristic
471#107—1182no—
472#106—1182no—
473C4⋊C8—594no—
474#103—594no—
475#103—1182no—
476#102—594no—
477#102—594no—
478#102—1182no—
479#102—1182no—
480#102—2361no—
481#102—2361no—
482#97—1182no—
483#97—1182no—
484C4×C8—1182no—
485#95—21no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489#95—1181no—
490#95C22⋊D5911yescharacteristic
491#95C22⋊D5911yescharacteristic
492C24—21no—
493C24—21no—
494C2×Q8—592no—
495C2×Q8—592no—
496C2×Q8—592no—
497C2×Q8—1181no—
498C2×Q8—1181no—
499C2×Q8—1181no—
500C2×D4—24no—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—81no—
515C2×D4—81no—
516C2×D4C2×C4×D5912yes—
517C2×D4C2×C4×D5912yes—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—1181no—
527C22×C4—1181no—
528C22×C4—1181no—
529C22×C4—1181no—
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C2×C22⋊D5911yescharacteristic
534C22×C4C2×C22⋊D5911yescharacteristic
535C22×C4C2×C22⋊D5911yescharacteristic
536C22×C4C23×D5911yescharacteristic
537SD16—1188no—
538SD16—1188no—
539C2×C8—592no—
540C2×C8—592no—
541C2×C8—592no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—41no—
556C4⋊C4—592no—
557C4⋊C4—1184no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C4⋊C4—1181no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—2362no—
564C4⋊C4—2362no—
565C4⋊C4—2362no—
566C4⋊C4—2362no—
567C4⋊C4D4×D5912yes—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—1184no—
580C42—2362no—
581C42—2362no—
582C42C2×C4×D5912yes—
583C42#1174568512yes—
584C23—22no—
585C23—22no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23C22×C22⋊D5911yescharacteristic
599Q8—594no—
600Q8—1182no—
601Q8—1182no—
602Q8—1182no—
603D4—22no—
604D4—22no—
605D4—22no—
606D4—22no—
607D4—48no—
608D4—41no—
609D4—41no—
610D4—41no—
611D4—41no—
612D4—84no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
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—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—84no—
635C2×C4—84no—
636C2×C4—1182no—
637C2×C4—1182no—
638C2×C4—1182no—
639C2×C4—1182no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4C4×C22⋊D5912yes—
649C2×C4C4×C22⋊D5912yes—
650C2×C4#1427375312yes—
651C2×C4C22×C4×D5911yescharacteristic
652C2×C4C2×D4×D5911yescharacteristic
653C2×C4#41×D5911yescharacteristic
654C2×C4C2×#1174568511yescharacteristic
655C2×C4#1427377211yescharacteristic
656C2×C4#1427377411yescharacteristic
657C8—1182no—
658C8—1182no—
659C8—1182no—
660C8—2361no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×C4×C22⋊D5911yescharacteristic
676C22D4×C22⋊D5911yescharacteristic
677C22#1683805911yescharacteristic
678C22C2×#1427375311yescharacteristic
679C22#1683820011yescharacteristic
680C22#1683821311yescharacteristic
681C22#1683821311yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—42no—
689C4—81no—
690C4—1184no—
691C4—4721no—
692C4—4721no—
693C4—2362no—
694C4C4×D4×D5911yescharacteristic
695C4#1683788111yescharacteristic
696C4#1683805711yescharacteristic
697C4#1683810211yescharacteristic
698C2—82no—
699C2—82no—
700C2#2142710811yescharacteristic
701C2C4×#1427375311yescharacteristic
702C2#2143295311yescharacteristic
703C2#2143558711yescharacteristic
704C2#2143567711yescharacteristic
705C2#2143682111yescharacteristic
706C2#2143685811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2366C2
socleC23×C59C22×D4
prime radicalC2×#127×C59C22
cosocleC22×C4×C59C24
hypercenter#2366D59
hypocenterC59#23010
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2366

Complements

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

NH ≅ G/Ntype
2. C2×#16837502C2semidirect
3. C2×C4×#11745670C2semidirect
4. #21427016C2semidirect
6. #21424864C2semidirect
7. #21424796C2semidirect
8. #21424782C2semidirect
9. #21424454C2semidirect
10. #21424454C2semidirect
11. #21424357C2semidirect
12. #21424343C2semidirect
13. #21423971C2semidirect
14. #21423929C2semidirect
21. #16837599C4semidirect
67. C2×#11745670C2×C4semidirect
68. C2×#11745670C2×C4semidirect
78. C4×Dic118C2×C4semidirect
92. C4⋊(C59⋊C8)C2×C4semidirect
94. #14273650D4semidirect
99. #14273648C2×C4semidirect
100. #14273648C2×C4semidirect
302. Dic118C4×D4semidirect
415. C59#23010semidirect

Maximal subgroups

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

subgroupindex
C2×#168375992
C2×#168375022
C2×C4×#117456702
#214270162
#214249212
#214248642
#214247962
#214247822
#214244542
#214243572
#214243432
#214239712
#214239292
C59×#23662
#2301059