Finite Group Databasebeta

← #28515586

Subgroups — #28515586

Order 15104.

1766 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837319C211yesmaximal, characteristic
2C2×#16837304C211yesmaximal, characteristic
3C2×#16837293C212yesmaximal, complemented
4#21422360C211yesmaximal, characteristic, complemented
5#21422349C211yesmaximal, characteristic, complemented
6#21422340C212yesmaximal, complemented
7#21422338C212yesmaximal, complemented
8#21422336C211yesmaximal, characteristic
9#21422334C212yesmaximal, complemented
10#21422323C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊C4×C59C211yesmaximal, characteristic, complemented
12C23×D236C2211yescharacteristic
13C22×C4⋊Dic59C2211yescharacteristic
14C22×Dic59⋊C4C2212yes—
15C22×(C2×D59)⋊C4C2212yes—
16C22×(C2×D59)⋊C4C2212yes—
17C22×(C2×D59)⋊C4C2212yes—
18C22×(C2×D59)⋊C4C2212yes—
19C22×(C2×D59)⋊C4C2212yes—
20C22×(C2×D59)⋊C4C2212yes—
21#16837319C418yescomplemented
22#16837304—24no—
23#16837293—28no—
24C2×C59⋊#95C2211yescharacteristic
25C2×C59⋊#95C2212yes—
26C2×C59⋊#95C2212yes—
27C2×C59⋊#95C2212yes—
28C2×C59⋊#95C2212yes—
29C2×C59⋊#95C2212yes—
30C2×C59⋊#95C2211yescharacteristic
31C22×C4⋊C4×C59C2211yescharacteristic
32C22×C4⋊C4×C59C2211yescharacteristic
33C22×C42×C59C2211yescharacteristic
34C22×C42×C59C2211yescharacteristic
35C22×C42×C59C2211yescharacteristic
36C4×C4⋊C4×C59—24no—
37C2×#95×C59C2211yescharacteristic
38C2×#95×C59C2211yescharacteristic
39C24×D59C2312yes—
40C22×D236—22no—
41C22×D236—22no—
42C22×D236—42no—
43C22×D236—42no—
44C22×D236C2×C414yes—
45C23×Dic59C2312yes—
46C23×Dic59C2312yes—
47C23×Dic59C2312yes—
48C2×C4⋊Dic59—22no—
49C2×C4⋊Dic59—42no—
50C2×Dic59⋊C4—24no—
51C2×Dic59⋊C4—42no—
52C2×Dic59⋊C4—42no—
53C2×(C2×D59)⋊C4—24no—
54C2×(C2×D59)⋊C4—24no—
55C2×(C2×D59)⋊C4—24no—
56C2×(C2×D59)⋊C4—24no—
57C2×(C2×D59)⋊C4—24no—
58C2×(C2×D59)⋊C4—24no—
59C2×(C2×D59)⋊C4—24no—
60C2×(C2×D59)⋊C4—24no—
61C2×(C2×D59)⋊C4—42no—
62C2×(C2×D59)⋊C4—42no—
63C2×(C2×D59)⋊C4—42no—
64C2×(C2×D59)⋊C4—42no—
65C2×(C2×D59)⋊C4—42no—
66C2×(C2×D59)⋊C4—42no—
67C2×(C2×D59)⋊C4—42no—
68C2×(C2×D59)⋊C4—42no—
69C2×(C2×D59)⋊C4C2×C418yes—
70C2×(C2×D59)⋊C4C2×C418yes—
71C59⋊#95—24no—
72C59⋊#95—24no—
73C59⋊#95—22no—
74C59⋊#95—42no—
75C59⋊#95—42no—
76C59⋊#95—42no—
77C59⋊#95C2×C414yes—
78C23×C4×C59C2311yescharacteristic
79C23×C4×C59C2311yescharacteristic
80C23×C4×C59C2311yescharacteristic
81C23×C4×C59C2311yescharacteristic
82C23×C4×C59C2311yescharacteristic
83C23×C4×C59C2311yescharacteristic
84C23×C4×C59C2311yescharacteristic
85C2×C4⋊C4×C59—22no—
86C2×C4⋊C4×C59—22no—
87C2×C4⋊C4×C59—22no—
88C2×C4⋊C4×C59—22no—
89C2×C4⋊C4×C59—22no—
90C2×C4⋊C4×C59C2×C414yes—
91C2×C42×C59—22no—
92C2×C42×C59—22no—
93C2×C42×C59—22no—
94C2×C42×C59—42no—
95C2×C42×C59—42no—
96C2×C42×C59D414yes—
97C2×C42×C59D414yescomplemented
98#95×C59—22no—
99#95×C59—22no—
100C24×C59C2411yescharacteristic
101C23×D59—22no—
102C23×D59—22no—
103C23×D59—22no—
104C23×D59—22no—
105C23×D59—22no—
106C23×D59—22no—
107C23×D59—22no—
108C23×D59—22no—
109C23×D59—22no—
110C23×D59—22no—
111C23×D59—22no—
112C23×D59—22no—
113C23×D59—22no—
114C23×D59—22no—
115C23×D59C22×C414yes—
116C22×C4×C59—21no—
117C22×C4×C59—21no—
118C22×C4×C59—21no—
119C22×C4×C59—21no—
120C22×C4×C59—22no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—21no—
125C22×C4×C59—21no—
126C22×C4×C59—21no—
127C22×C4×C59—21no—
128C22×C4×C59—21no—
129C22×C4×C59—21no—
130C22×C4×C59—21no—
131C22×C4×C59—21no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59C22×C412yes—
141C22×C4×C59C22×C412yes—
142C22×C4×C59C22×C412yes—
143C22×C4×C59C2×D412yes—
144C22×C4×C59C2×D412yes—
145C22×C4×C59C2×D412yes—
146C22×C4×C59C2×D412yes—
147C22×C4×C59C2×D412yes—
148C22×C4×C59C2×D412yes—
149C22×C4×C59#4112yes—
150C22×C4×C59#4112yes—
151C22×C4×C59#4112yes—
152C22×C4×C59#4112yes—
153C22×Dic59—22no—
154C22×Dic59—22no—
155C22×Dic59—22no—
156C22×Dic59—22no—
157C22×Dic59—22no—
158C22×Dic59—22no—
159C22×Dic59—22no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
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×Dic59C22×C414yes—
174C2×D236—28no—
175C2×D236—48no—
176C2×D236—44no—
177C2×D236—44no—
178C2×D236—48no—
179C4⋊C4×C59—28no—
180C4⋊C4×C59—28no—
181C42×C59—28no—
182C42×C59—44no—
183C42×C59—44no—
184(C2×D59)⋊C4—216no—
185(C2×D59)⋊C4—48no—
186(C2×D59)⋊C4—48no—
187(C2×D59)⋊C4—48no—
188(C2×D59)⋊C4—48no—
189(C2×D59)⋊C4—48no—
190C4⋊Dic59—44no—
191Dic59⋊C4—48no—
192C23×C59C23×C411yescharacteristic
193C23×C59C22×D411yescharacteristic
194C23×C59C22×D411yescharacteristic
195C23×C59C2×#4111yescharacteristic
196C23×C59C2×#4111yescharacteristic
197C23×C59C2×#4111yescharacteristic
198C23×C59C2×#4111yescharacteristic
199C23×C59H(5,𝔽2)12yes—
200C23×C59H(5,𝔽2)12yes—
201C23×C59H(5,𝔽2)12yes—
202C23×C592−1+412yes—
203C22×D59—24no—
204C22×D59—24no—
205C22×D59—24no—
206C22×D59—24no—
207C22×D59—24no—
208C22×D59—24no—
209C22×D59—24no—
210C22×D59—42no—
211C22×D59—42no—
212C22×D59—42no—
213C22×D59—42no—
214C22×D59—42no—
215C22×D59—42no—
216C22×D59—42no—
217C22×D59—42no—
218C22×D59—42no—
219C22×D59—42no—
220C22×D59—42no—
221C22×D59—42no—
222C22×D59—42no—
223C22×D59—42no—
224C22×D59—42no—
225C22×D59—42no—
226C22×D59—42no—
227C22×D59—42no—
228C22×D59—42no—
229C22×D59—42no—
230C22×D59—42no—
231C22×D59—42no—
232C22×D59—42no—
233C22×D59—42no—
234C22×D59—42no—
235C22×D59—42no—
236C22×D59—42no—
237C22×D59—42no—
238C2×C4×C59—22no—
239C2×C4×C59—22no—
240C2×C4×C59—24no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—24no—
250C2×C4×C59—24no—
251C2×C4×C59—24no—
252C2×C4×C59—22no—
253C2×C4×C59—24no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—24no—
259C2×C4×C59—22no—
260C2×C4×C59—24no—
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—42no—
268C2×C4×C59—42no—
269C2×C4×C59—42no—
270C2×C4×C59—42no—
271C2×C4×C59—42no—
272C2×C4×C59C4×D414yes—
273C2×C4×C59C4×D414yes—
274C2×C4×C59#12114yes—
275C2×Dic59—24no—
276C2×Dic59—24no—
277C2×Dic59—24no—
278C2×Dic59—42no—
279C2×Dic59—42no—
280C2×Dic59—42no—
281C2×Dic59—42no—
282C2×Dic59—42no—
283C2×Dic59—42no—
284C2×Dic59—42no—
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—42no—
294C2×Dic59—42no—
295C2×Dic59—42no—
296D236—416no—
297#14312—591nomaximal, Sylow
298C22×C59C2×C4×D411yescharacteristic
299C22×C59C2×C4×D411yescharacteristic
300C22×C59C4×#4111yescharacteristic
301C22×C59#51812yes—
302C22×C59#52012yes—
303C22×C59C2×#12111yescharacteristic
304C22×C59#52511yescharacteristic
305C22×C59#52911yescharacteristic
306C22×C59#53211yescharacteristic
307C22×C59#53411yescharacteristic
308C22×C59#53511yescharacteristic
309C22×C59#53511yescharacteristic
310C22×C59#53512yes—
311C22×C59#53611yescharacteristic
312C22×C59#53712yes—
313C22×C59#53812yes—
314C22×C59#53812yes—
315C22×C59#53912yes—
316C22×C59#54012yes—
317C22×C59#54012yes—
318C22×C59#54212yes—
319C22×C59#54212yes—
320C22×C59#54212yes—
321C2×D59—44no—
322C2×D59—44no—
323C2×D59—44no—
324C2×D59—44no—
325C2×D59—44no—
326C2×D59—44no—
327C2×D59—44no—
328C2×D59—82no—
329C2×D59—82no—
330C2×D59—82no—
331C2×D59—82no—
332C2×D59—82no—
333C2×D59—82no—
334C2×D59—82no—
335C2×D59—82no—
336C4×C59—24no—
337C4×C59—24no—
338C4×C59—24no—
339C4×C59—42no—
340C4×C59—42no—
341C4×C59—42no—
342C4×C59—42no—
343Dic59—44no—
344Dic59—82no—
345Dic59—82no—
346C2×#394—591no—
347C2×#390—591no—
348C2×#388—592no—
349C2×C4×C4⋊C4D5911yescharacteristic, complemented
350#1444—591no—
351#1441—591no—
352#1439—592no—
353#1439—592no—
354#1438—591no—
355#1437—592no—
356#1434—591no—
357C2×C59C4×#12111yescharacteristic
358C2×C59#232111yescharacteristic
359C2×C59#232412yes—
360C2×C59#232611yescharacteristic
361C2×C59#233512yes—
362C2×C59#261811yescharacteristic
363C2×C59#261911yescharacteristic
364C2×C59#263211yescharacteristic
365C2×C59#263511yescharacteristic
366C2×C59#265112yes—
367C2×C59#266212yes—
368D59—84no—
369C23×D4—591no—
370C22×C4⋊C4—592no—
371C22×C4⋊C4—591no—
372C22×C4⋊C4C2×D5911yescharacteristic
373C22×C4⋊C4C2×D5911yescharacteristic
374C22×C22⋊C4—592no—
375C22×C22⋊C4—592no—
376C22×C22⋊C4—592no—
377C22×C22⋊C4—592no—
378C22×C22⋊C4—592no—
379C22×C22⋊C4—592no—
380C22×C42C2×D5911yescharacteristic
381C22×C42C2×D5911yescharacteristic
382C22×C42C2×D5911yescharacteristic
383#394—598no—
384#390—1184no—
385#388—1188no—
386C4×C4⋊C4—24no—
387C2×#95—591no—
388C2×#95—592no—
389C2×#95—591no—
390C2×#95—592no—
391C2×#95—592no—
392C2×#95—592no—
393C2×#95—592no—
394C2×#95C2×D5911yescharacteristic
395C2×#95C2×D5911yescharacteristic
396C59#1431211yescharacteristic, complemented, Sylow
397C25—592no—
398C22×D4—594no—
399C22×D4—1182no—
400C22×D4—1182no—
401C22×D4—2362no—
402C22×D4—2362no—
403C23×C4—592no—
404C23×C4—592no—
405C23×C4—592no—
406C23×C4C22×D5911yescharacteristic
407C23×C4C22×D5911yescharacteristic
408C23×C4C22×D5911yescharacteristic
409C23×C4C22×D5911yescharacteristic
410C23×C4C22×D5911yescharacteristic
411C23×C4C22×D5911yescharacteristic
412C23×C4C22×D5911yescharacteristic
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—1184no—
419C2×C4⋊C4—1182no—
420C2×C4⋊C4—2362no—
421C2×C4⋊C4—2362no—
422C2×C4⋊C4—2362no—
423C2×C4⋊C4C4×D5914yes—
424C2×C22⋊C4—598no—
425C2×C22⋊C4—598no—
426C2×C22⋊C4—1184no—
427C2×C22⋊C4—1184no—
428C2×C22⋊C4—1184no—
429C2×C22⋊C4—1184no—
430C2×C22⋊C4—1184no—
431C2×C22⋊C4—1184no—
432C2×C22⋊C4—1184no—
433C2×C22⋊C4—1184no—
434C2×C22⋊C4—2362no—
435C2×C22⋊C4—2362no—
436C2×C22⋊C4—2362no—
437C2×C22⋊C4—2362no—
438C2×C22⋊C4—2362no—
439C2×C22⋊C4—2362no—
440C2×C22⋊C4—2362no—
441C2×C22⋊C4—2362no—
442C2×C42—22no—
443C2×C42—22no—
444C2×C42—22no—
445C2×C42—42no—
446C2×C42—42no—
447C2×C42D23614yescomplemented
448C2×C42C22⋊D5914yes—
449#95—22no—
450#95—22no—
451#95—594no—
452#95—1184no—
453#95—1184no—
454#95—1182no—
455#95—2362no—
456#95—2362no—
457#95—2362no—
458C24—594no—
459C24—1182no—
460C24—1182no—
461C24—1182no—
462C24—1182no—
463C24—1182no—
464C24—1182no—
465C24—1182no—
466C24—1182no—
467C24—1182no—
468C24—1182no—
469C24—1182no—
470C24—1182no—
471C24—1182no—
472C24—1182no—
473C24C23×D5911yescharacteristic
474C2×D4—1188no—
475C2×D4—2368no—
476C2×D4—2364no—
477C2×D4—2364no—
478C2×D4—2368no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—594no—
504C22×C4—1182no—
505C22×C4—1182no—
506C22×C4—1182no—
507C22×C4—1182no—
508C22×C4—1182no—
509C22×C4—1182no—
510C22×C4—1182no—
511C22×C4—1182no—
512C22×C4—1182no—
513C22×C4—1182no—
514C22×C4—1182no—
515C22×C4—1182no—
516C22×C4—1182no—
517C22×C4—1182no—
518C22×C4—1182no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—1182no—
522C22×C4—1182no—
523C22×C4—1182no—
524C22×C4C2×C4×D5912yes—
525C22×C4C2×C4×D5912yes—
526C22×C4C2×C4×D5912yes—
527C22×C4C2×D23612yes—
528C22×C4C2×D23612yes—
529C22×C4C2×D23612yes—
530C22×C4#1174568512yes—
531C22×C4#1174568512yes—
532C22×C4#1174568512yes—
533C22×C4#1174568512yes—
534C22×C4C2×C22⋊D5912yes—
535C22×C4C2×C22⋊D5912yes—
536C22×C4C2×C22⋊D5912yes—
537C4⋊C4—28no—
538C4⋊C4—28no—
539C4⋊C4—2368no—
540C4⋊C4—2364no—
541C22⋊C4—11816no—
542C22⋊C4—2368no—
543C22⋊C4—2368no—
544C22⋊C4—2368no—
545C22⋊C4—2368no—
546C22⋊C4—2368no—
547C42—28no—
548C42—44no—
549C42—44no—
550C23—1184no—
551C23—1184no—
552C23—1184no—
553C23—1184no—
554C23—1184no—
555C23—1184no—
556C23—1184no—
557C23—2362no—
558C23—2362no—
559C23—2362no—
560C23—2362no—
561C23—2362no—
562C23—2362no—
563C23—2362no—
564C23—2362no—
565C23—2362no—
566C23—2362no—
567C23—2362no—
568C23—2362no—
569C23—2362no—
570C23—2362no—
571C23—2362no—
572C23—2362no—
573C23—2362no—
574C23—2362no—
575C23—2362no—
576C23—2362no—
577C23—2362no—
578C23—2362no—
579C23—2362no—
580C23—2362no—
581C23—2362no—
582C23—2362no—
583C23—2362no—
584C23—2362no—
585C23C22×C4×D5911yescharacteristic
586C23C22×C22⋊D5911yescharacteristic
587C23C22×D23611yescharacteristic
588C23C2×#1174568511yescharacteristic
589C23C2×#1174568511yescharacteristic
590C23C2×#1174568511yescharacteristic
591C23C2×#1174568511yescharacteristic
592C23#1427377212yes—
593C23#1427377312yes—
594C23#1427377312yes—
595C23#1427377512yes—
596D4—23616no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—1184no—
632C2×C4—1184no—
633C2×C4—1184no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2362no—
638C2×C4—2362no—
639C2×C4—2362no—
640C2×C4—2362no—
641C2×C4—2362no—
642C2×C4—2362no—
643C2×C4—2362no—
644C2×C4—2362no—
645C2×C4—2362no—
646C2×C4—2362no—
647C2×C4—2362no—
648C2×C4—2362no—
649C2×C4—2362no—
650C2×C4—2362no—
651C2×C4—2362no—
652C2×C4C4×C22⋊D5914yes—
653C2×C4C4×D23614yes—
654C2×C4#1427370114yes—
655C22—4722no—
656C22—4722no—
657C22—4722no—
658C22—4722no—
659C22—4722no—
660C22—4722no—
661C22—4722no—
662C22—4722no—
663C22—2364no—
664C22—2364no—
665C22—2364no—
666C22—2364no—
667C22—2364no—
668C22—2364no—
669C22—2364no—
670C22C2×C4×C22⋊D5911yescharacteristic
671C22C2×C4×D23611yescharacteristic
672C22C4×#1174568511yescharacteristic
673C22#1683787412yes—
674C22#1683788412yes—
675C22C2×#1427370111yescharacteristic
676C22#1683791311yescharacteristic
677C22#1683793611yescharacteristic
678C22#1683795211yescharacteristic
679C22#1683796111yescharacteristic
680C22#1683796611yescharacteristic
681C22#1683796611yescharacteristic
682C22#1683797112yes—
683C22#1683797611yescharacteristic
684C22#1683798312yes—
685C22#1683798512yes—
686C22#1683798512yes—
687C22#1683799912yes—
688C22#1683800312yes—
689C22#1683800712yes—
690C22#1683802412yes—
691C22#1683802412yes—
692C22#1683802412yes—
693C4—24no—
694C4—24no—
695C4—24no—
696C4—42no—
697C4—42no—
698C4—42no—
699C4—42no—
700C4—4722no—
701C4—4722no—
702C4—2364no—
703C2—4724no—
704C2C4×#1427370111yescharacteristic
705C2#2142675011yescharacteristic
706C2#2142679012yes—
707C2#2142680311yescharacteristic
708C2#2142688012yes—
709C2#2142983811yescharacteristic
710C2#2142984611yescharacteristic
711C2#2142995611yescharacteristic
712C2#2142998011yescharacteristic
713C2#2143012312yes—
714C2#2143023312yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC2×C4×C4⋊C4×C59C2
socle, cosocleC24×C59C24
prime radicalC23×D236C22
hypercenterC2×C4×C4⋊C4D59
hypocenterC59#14312
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
3. C2×#16837293C2semidirect
4. #21422360C2semidirect
5. #21422349C2semidirect
6. #21422340C2semidirect
7. #21422338C2semidirect
9. #21422334C2semidirect
10. #21422323C2semidirect
11. C2×C4×C4⋊C4×C59C2semidirect
21. #16837319C4semidirect
97. C2×C42×C59D4semidirect
349. C2×C4×C4⋊C4D59semidirect
396. C59#14312semidirect
447. C2×C42D236semidirect

Maximal subgroups

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

subgroupindex
C2×#168373192
C2×#168373042
C2×#168372932
#214223602
#214223492
#214223402
#214223382
#214223362
#214223342
#214223232
C2×C4×C4⋊C4×C592
#1431259