Finite Group Databasebeta

← #28636866

Subgroups — #28636866

Order 15104.

942 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837718C211yesmaximal, characteristic
2C2×#16837629C211yesmaximal, characteristic
3#21428574C211yesmaximal, characteristic, complemented
4#21425572C211yesmaximal, characteristic, complemented
5#21425499C211yesmaximal, characteristic, complemented
6#21425474C211yesmaximal, characteristic, complemented
7#21425413C211yesmaximal, characteristic, complemented
8#21424859C211yesmaximal, characteristic, complemented
9#21424730C211yesmaximal, characteristic, complemented
10#21424430C211yesmaximal, characteristic, complemented
11#21424403C211yesmaximal, characteristic, complemented
12#21424276C211yesmaximal, characteristic, complemented
13#21424096C211yesmaximal, characteristic, complemented
14C2×#16837164C211yesmaximal, characteristic, complemented
15C59×#2361C211yesmaximal, characteristic
16C22×#11745670C2211yescharacteristic
17C23×C59⋊C8C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C22×C4⋊Dic59C2211yescharacteristic
20#16837718—24no—
21#16837629—24no—
22C2×#14273658C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×C4⋊(C59⋊C8)C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34#16837334—21no—
35#16837334—21no—
36#16837308C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837277—21no—
39#16837277—21no—
40#16837272C2211yescharacteristic
41#16837272C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C2×#121×C59C2211yescharacteristic
51C2×C4×D4×C59—21no—
52C2×C4×D4×C59C2211yescharacteristic
53C22×C4⋊C4×C59C2211yescharacteristic
54C59×#390C2211yescharacteristic
55C59×#389C2211yescharacteristic
56C59×#388—21no—
57C59×#386—21no—
58C59×#385—21no—
59C4×C4⋊C4×C59C2211yescharacteristic
60C4×C22⋊C4×C59C2211yescharacteristic
61C22×Dic118C2311yescharacteristic
62C23×Dic59—21no—
63C2×#11745670—22no—
64C2×#11745670—22no—
65C2×#11745670—41no—
66C22×C59⋊C8—22no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8—41no—
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73#14273706—22no—
74#14273706—22no—
75C2×C4⋊Dic59—22no—
76C2×C4⋊Dic59—22no—
77C2×C4⋊Dic59—21no—
78C2×C4⋊Dic59—21no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—21no—
81C2×C4⋊Dic59—21no—
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×Dic59⋊C4—21no—
86C2×C22⋊Dic59—21no—
87#14273658—22no—
88#14273658—22no—
89#14273658—22no—
90C4⋊(C59⋊C8)—22no—
91C4⋊(C59⋊C8)—41no—
92#14273650—22no—
93#14273650—22no—
94#14273650—41no—
95#14273648—22no—
96#14273648—22no—
97#14273648—22no—
98C22⋊(C59⋊C8)—22no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C22×D4×C59—21no—
104C22×D4×C59C2311yescharacteristic
105C23×C4×C59—21no—
106C23×C4×C59—21no—
107C23×C4×C59C2311yescharacteristic
108#121×C59—22no—
109#121×C59D414yes—
110C4×D4×C59—22no—
111C4×D4×C59—41no—
112C4×D4×C59—44no—
113C2×C4⋊C4×C59—22no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—41no—
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
128C2×C42×C59C2311yescharacteristic
129#95×C59—21no—
130#95×C59—21no—
131#95×C59D411yescharacteristic
132#95×C59D411yescharacteristic
133C24×C59—21no—
134C24×C59C2×D411yescharacteristic
135C2×D4×C59—24no—
136C2×D4×C59—21no—
137C2×D4×C59—21no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—42no—
142C2×D4×C59—42no—
143C2×D4×C59C2×D412yes—
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—42no—
152C22×C4×C59—42no—
153C22×C4×C59—42no—
154C22×C4×C59—42no—
155C22×C4×C59—81no—
156C22×C4×C59—81no—
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D412yes—
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59#4112yes—
164C22×C4×C59C2411yescharacteristic
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—42no—
170C22×Dic59—81no—
171C22×Dic59—81no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—42no—
183C4⋊C4×C59—42no—
184C4⋊C4×C59C2×D412yes—
185C4⋊C4×C59#4112yes—
186C22⋊C4×C59—22no—
187C22⋊C4×C59—24no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—42no—
190C22⋊C4×C59—81no—
191C22⋊C4×C59SD1614yescomplemented
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59—21no—
196C42×C59—42no—
197C22⋊Dic59—42no—
198#11745670—44no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—42no—
206C4⋊Dic59—81no—
207C4⋊Dic59—81no—
208C4⋊Dic59—81no—
209C4⋊Dic59—81no—
210Dic59⋊C4—42no—
211C2×C59⋊C8—21no—
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—21no—
222C2×C59⋊C8—44no—
223C2×C59⋊C8#4112yes—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—22no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59#12112yes—
236C23×C59C2×SD1612yes—
237C23×C59#13712yes—
238C23×C59C22×D411yescharacteristic
239D4×C59—22no—
240D4×C59—22no—
241D4×C59—48no—
242D4×C59—41no—
243D4×C59—41no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—21no—
256C2×C4×C59—22no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
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—84no—
270C2×C4×C59—84no—
271C2×C4×C59#12112yes—
272C2×C4×C59C2×SD1612yes—
273C2×C4×C59C2×SD1612yes—
274C2×C4×C59C22×D411yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59C2×#4111yescharacteristic
278C2×C4×C59H(5,𝔽2)11yescharacteristic
279C2×C4×C592−1+411yescharacteristic
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—84no—
293Dic118—41no—
294Dic118—41no—
295Dic118—41no—
296Dic118—41no—
297C59⋊C8—22no—
298C59⋊C8—41no—
299C59⋊C8—41no—
300C59⋊C8—41no—
301#25202—591nomaximal, Sylow
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—22no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—81no—
312C22×C59—81no—
313C22×C59—81no—
314C22×C59—81no—
315C22×C59#46114yes—
316C22×C59C2×#12111yescharacteristic
317C22×C59#54611yescharacteristic
318C22×C59#54711yescharacteristic
319C22×C59C22×SD1611yescharacteristic
320C22×C59C2×#13711yescharacteristic
321C22×C59#57611yescharacteristic
322C22×C59#57711yescharacteristic
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—22no—
326C4×C59—41no—
327C4×C59—42no—
328C4×C59—42no—
329C4×C59—41no—
330C4×C59—81no—
331C4×C59#52911yescharacteristic
332C4×C59#53911yescharacteristic
333C4×C59#54611yescharacteristic
334C4×C59#54711yescharacteristic
335Dic59—81no—
336Dic59—81no—
337Dic59—81no—
338Dic59—81no—
339C2×#481—591no—
340C2×#465—591no—
341#2502—591no—
342#2361D5911yescharacteristic
343#2084—591no—
344#2071—591no—
345#2066—591no—
346#2055—591no—
347#1948—591no—
348#1927—591no—
349#1877—591no—
350#1872—591no—
351#1850—591no—
352#1802—591no—
353C2×#340—591no—
354C2×C59—24no—
355C2×C59—82no—
356C2×C59#242511yescharacteristic
357C2×C59C2×#46111yescharacteristic
358C2×C59#304511yescharacteristic
359C2×C59#329511yescharacteristic
360C2×C59#331611yescharacteristic
361C2×C59#333511yescharacteristic
362C2×C59#334611yescharacteristic
363C22×SD16—591no—
364C23×C8—591no—
365C2×C22⋊Q8—591no—
366C2×#121C2×D5911yescharacteristic
367C2×C4×D4—21no—
368C2×C4×D4C2×D5911yescharacteristic
369C22×C4⋊C4—591no—
370C22×C4⋊C4C2×D5911yescharacteristic
371#481—1184no—
372#465—1184no—
373C2×#106—591no—
374C2×#106—591no—
375C2×#106—591no—
376C2×C4⋊C8—591no—
377C2×C4⋊C8—591no—
378C2×#103—591no—
379C2×#103—591no—
380C2×#103—591no—
381C2×#102—591no—
382C2×#102—591no—
383C2×#102—591no—
384C2×C22⋊C8—591no—
385#398—1181no—
386#398—1181no—
387#391—591no—
388#391—591no—
389#390C2×D5911yescharacteristic
390#389C2×D5911yescharacteristic
391#388—21no—
392#386—21no—
393#385—21no—
394#385—1181no—
395#385—1181no—
396#384—591no—
397#384—591no—
398C4×C4⋊C4C2×D5911yescharacteristic
399C4×C22⋊C4C2×D5911yescharacteristic
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#340—591no—
406#336—591no—
407#336—591no—
408C59#2520211yescharacteristic, complemented, Sylow
409C22×Q8—591no—
410C22×D4—21no—
411C22×D4C22×D5911yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—1181no—
415C23×C4C22×D5911yescharacteristic
416C2×SD16—1182no—
417C2×SD16—1182no—
418C2×SD16—2361no—
419C22×C8—591no—
420C22×C8—591no—
421C22×C8—591no—
422C22×C8—591no—
423C22×C8—1182no—
424C22×C8—1182no—
425C22×C8—2361no—
426C22⋊Q8—1182no—
427C22⋊Q8—1182no—
428#121—22no—
429#121D23614yes—
430C4×D4—22no—
431C4×D4—41no—
432C4×D4—44no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—41no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—1182no—
441C2×C4⋊C4—1182no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4C22⋊D5911yescharacteristic
457C2×C22⋊C4C22⋊D5911yescharacteristic
458C2×C42—21no—
459C2×C42C22×D5911yescharacteristic
460C2×C42C22×D5911yescharacteristic
461#106—1182no—
462#106—1182no—
463#106—1182no—
464C4⋊C8—1182no—
465C4⋊C8—2361no—
466#103—1182no—
467#103—1182no—
468#103—2361no—
469#102—1182no—
470#102—1182no—
471#102—1182no—
472C22⋊C8—1182no—
473#95—21no—
474#95—21no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478#95—1181no—
479#95C22⋊D5911yescharacteristic
480#95C22⋊D5911yescharacteristic
481C24—21no—
482C24C2×C22⋊D5911yescharacteristic
483C2×Q8—1181no—
484C2×Q8—1181no—
485C2×Q8—1181no—
486C2×Q8—1181no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×D4—24no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4C2×D23612yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—4721no—
516C22×C4—4721no—
517C22×C4—2362no—
518C22×C4C2×D23612yes—
519C22×C4#1174568512yes—
520C22×C4C2×C22⋊D5911yescharacteristic
521C22×C4C2×C22⋊D5911yescharacteristic
522C22×C4C2×C22⋊D5911yescharacteristic
523C22×C4C2×C22⋊D5911yescharacteristic
524C22×C4C2×C22⋊D5911yescharacteristic
525C22×C4C23×D5911yescharacteristic
526SD16—2364no—
527C2×C8—592no—
528C2×C8—1181no—
529C2×C8—1181no—
530C2×C8—1181no—
531C2×C8—1181no—
532C2×C8—1181no—
533C2×C8—1181no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—2364no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—1181no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—4721no—
553C4⋊C4—4721no—
554C4⋊C4—4721no—
555C4⋊C4—4721no—
556C4⋊C4—2362no—
557C4⋊C4—2362no—
558C4⋊C4C2×D23612yes—
559C4⋊C4#1174568712yes—
560C22⋊C4—22no—
561C22⋊C4—24no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—81no—
565C22⋊C4—2362no—
566C22⋊C4#1174567014yescomplemented
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—42no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23#1427370112yes—
584C23C2×#1174567012yes—
585C23#1427375712yes—
586C23C22×C22⋊D5911yescharacteristic
587Q8—2361no—
588Q8—2361no—
589Q8—2361no—
590Q8—2361no—
591D4—22no—
592D4—22no—
593D4—48no—
594D4—41no—
595D4—41no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—4724no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4#1427370112yes—
637C2×C4C2×#1174567012yes—
638C2×C4C2×#1174567012yes—
639C2×C4C22×D23611yescharacteristic
640C2×C4#41×D5911yescharacteristic
641C2×C4C2×#1174568711yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C2×C4#1427377211yescharacteristic
644C2×C4#1427377411yescharacteristic
645C8—1182no—
646C8—2361no—
647C8—2361no—
648C8—2361no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22#1683760714yes—
663C22C2×#1427370111yescharacteristic
664C22#1683804611yescharacteristic
665C22#1683805111yescharacteristic
666C22C22×#1174567011yescharacteristic
667C22C2×#1427375711yescharacteristic
668C22#1683820511yescharacteristic
669C22#1683821011yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—42no—
677C4—81no—
678C4—4721no—
679C4—4721no—
680C4—4721no—
681C4—4721no—
682C4#1683793211yescharacteristic
683C4#1683799411yescharacteristic
684C4#1683804711yescharacteristic
685C4#1683805611yescharacteristic
686C2—24no—
687C2—82no—
688C2#2142764111yescharacteristic
689C2C2×#1683760711yescharacteristic
690C2#2143363511yescharacteristic
691C2#2143592011yescharacteristic
692C2#2143620711yescharacteristic
693C2#2143645311yescharacteristic
694C2#2143658111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2361C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
hypercenter#2361D59
hypocenterC59#25202
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
3. #21428574C2semidirect
4. #21425572C2semidirect
5. #21425499C2semidirect
6. #21425474C2semidirect
7. #21425413C2semidirect
8. #21424859C2semidirect
9. #21424730C2semidirect
10. #21424430C2semidirect
11. #21424403C2semidirect
12. #21424276C2semidirect
13. #21424096C2semidirect
14. C2×#16837164C2semidirect
191. C22⋊C4×C59SD16semidirect
408. C59#25202semidirect
566. C22⋊C4#11745670semidirect

Maximal subgroups

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

subgroupindex
C2×#168377182
C2×#168376292
#214285742
#214255722
#214254992
#214254742
#214254132
#214248592
#214247302
#214244302
#214244032
#214242762
#214240962
C2×#168371642
C59×#23612
#2520259