Finite Group Databasebeta

← C2×#21425100 #28615480

Subgroups — C2×#21425100 #28615480

Order 15104.

2526 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11745670C211yesmaximal, characteristic, complemented
2C22×#14273707C211yesmaximal, characteristic, complemented
3C22×#14273698C211yesmaximal, characteristic
4C22×#14273652C211yesmaximal, characteristic, complemented
5C22×(C2×D59)⋊C8C211yesmaximal, characteristic, complemented
6#21425100C218yesmaximal, direct product factor
7C2×#16837164C211yesmaximal, characteristic, complemented
8C22×#102×C59C211yesmaximal, characteristic, complemented
9C23×Dic118C2211yescharacteristic
10C23×C22⋊D59—21no—
11C23×C4×D59C2211yescharacteristic
12C22×#11745670—24no—
13C22×#11745670—24no—
14C22×#11745670—24no—
15C22×#11745670C2214yescomplemented
16C23×C59⋊C8C2211yescharacteristic
17C2×#14273707—24no—
18C2×#14273707—22no—
19C2×#14273707—24no—
20C2×#14273707C2214yescomplemented
21C2×#14273698—22no—
22C2×#14273698—24no—
23C2×#14273698—24no—
24C2×#14273698C2214yes—
25C22×C4⋊Dic59—21no—
26C22×C4⋊Dic59C2211yescharacteristic
27C22×C22⋊Dic59—21no—
28C22×(C2×D59)⋊C4—21no—
29C2×#14273652—24no—
30C2×#14273652C2214yescomplemented
31C2×(C2×D59)⋊C8—24no—
32C2×(C2×D59)⋊C8C2214yescomplemented
33#16837164C2214yescomplemented
34C23×D4×C59C2211yescharacteristic
35C23×C8×C59C2211yescharacteristic
36C22×C4⋊C4×C59C2211yescharacteristic
37C2×#102×C59—24no—
38C2×#102×C59C2214yescomplemented
39C24×D59D411yescharacteristic
40C22×Dic118—22no—
41C22×Dic118—22no—
42C22×Dic118—22no—
43C22×Dic118—22no—
44C22×Dic118—21no—
45C22×Dic118—22no—
46C22×Dic118D414yescomplemented
47C22×Dic118C2312yes—
48C22×C22⋊D59—28no—
49C22×C22⋊D59—24no—
50C22×C22⋊D59—44no—
51C22×C22⋊D59—44no—
52C23×Dic59—21no—
53C23×Dic59—21no—
54C23×Dic59D411yescharacteristic
55C22×C4×D59—22no—
56C22×C4×D59—22no—
57C22×C4×D59—22no—
58C22×C4×D59—22no—
59C22×C4×D59—22no—
60C22×C4×D59—22no—
61C22×C4×D59D412yes—
62C22×C4×D59C2312yes—
63C2×#11745670—232no—
64C2×#11745670—28no—
65C2×#11745670—28no—
66C2×#11745670—28no—
67C22×C59⋊C8—22no—
68C22×C59⋊C8—22no—
69C22×C59⋊C8D414yescomplemented
70C22×C59⋊C8C2312yes—
71#14273707—216no—
72#14273707—28no—
73#14273707—28no—
74#14273698—216no—
75#14273698—28no—
76#14273698—28no—
77C2×C4⋊Dic59—28no—
78C2×C4⋊Dic59—22no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—24no—
81C2×C4⋊Dic59D414yes—
82C2×C4⋊Dic59C2312yes—
83C2×C22⋊Dic59—28no—
84C2×C22⋊Dic59—24no—
85C2×(C2×D59)⋊C4—28no—
86C2×(C2×D59)⋊C4—24no—
87#14273652—28no—
88(C2×D59)⋊C8—28no—
89C25×C59—21no—
90C22×D4×C59—22no—
91C22×D4×C59—22no—
92C22×D4×C59—22no—
93C22×D4×C59—21no—
94C22×D4×C59—22no—
95C22×D4×C59—22no—
96C22×D4×C59D414yes—
97C22×D4×C59C2312yes—
98C23×C4×C59—21no—
99C23×C4×C59C2311yescharacteristic
100C22×C8×C59—22no—
101C22×C8×C59—22no—
102C22×C8×C59—22no—
103C22×C8×C59C2312yes—
104C2×C4⋊C4×C59—21no—
105C2×C4⋊C4×C59—22no—
106C2×C4⋊C4×C59D414yescomplemented
107C2×C4⋊C4×C59C2312yes—
108#102×C59—28no—
109C24×C59—24no—
110C24×C59—22no—
111C24×C59—42no—
112C24×C59—42no—
113C24×C59—42no—
114C24×C59—42no—
115C24×C59—42no—
116C24×C59—42no—
117C24×C59C2×D411yescharacteristic
118C23×D59—22no—
119C23×D59—22no—
120C23×D59—22no—
121C23×D59—22no—
122C23×D59—22no—
123C23×D59—22no—
124C23×D59SD1614yescomplemented
125C23×D59C2×D412yes—
126C2×D4×C59—28no—
127C2×D4×C59—24no—
128C2×D4×C59—28no—
129C2×D4×C59—22no—
130C2×D4×C59—22no—
131C2×D4×C59—22no—
132C2×D4×C59—22no—
133C2×D4×C59—22no—
134C2×D4×C59—42no—
135C2×D4×C59—44no—
136C2×D4×C59—42no—
137C2×D4×C59—44no—
138C2×D4×C59C2×D414yes—
139C22×C4×C59—24no—
140C22×C4×C59—22no—
141C22×C4×C59—42no—
142C22×C4×C59—42no—
143C22×C4×C59C2×D411yescharacteristic
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×C59C2411yescharacteristic
151C2×C22⋊D59—216no—
152C2×C22⋊D59—48no—
153C2×C22⋊D59—432no—
154C2×C22⋊D59—48no—
155C22×Dic59—24no—
156C22×Dic59—22no—
157C22×Dic59—24no—
158C22×Dic59—22no—
159C22×Dic59—22no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—42no—
163C22×Dic59—42no—
164C22×Dic59—42no—
165C22×Dic59—42no—
166C22×Dic59C2×D412yes—
167C2×C4×D59—24no—
168C2×C4×D59—24no—
169C2×C4×D59—24no—
170C2×C4×D59—22no—
171C2×C4×D59—22no—
172C2×C4×D59—22no—
173C2×C4×D59—22no—
174C2×C4×D59—22no—
175C2×C4×D59—22no—
176C2×C4×D59—44no—
177C2×C4×D59—44no—
178C2×C4×D59—44no—
179C2×C4×D59—44no—
180C2×Dic118—28no—
181C2×Dic118—28no—
182C2×Dic118—22no—
183C2×Dic118—22no—
184C2×Dic118—22no—
185C2×Dic118—22no—
186C2×Dic118—24no—
187C2×Dic118—22no—
188C2×Dic118—42no—
189C2×Dic118—44no—
190C2×Dic118—42no—
191C2×Dic118—44no—
192C2×Dic118C2×D414yescomplemented
193C2×C8×C59—22no—
194C2×C8×C59—22no—
195C2×C8×C59—22no—
196C2×C8×C59—44no—
197C4⋊C4×C59—24no—
198C4⋊C4×C59—22no—
199C4⋊C4×C59C2×D414yescomplemented
200C22⋊Dic59—216no—
201#11745670—232no—
202(C2×D59)⋊C4—216no—
203C4⋊Dic59—216no—
204C4⋊Dic59—24no—
205C4⋊Dic59—22no—
206C4⋊Dic59C2×D414yes—
207C2×C59⋊C8—28no—
208C2×C59⋊C8—22no—
209C2×C59⋊C8—22no—
210C2×C59⋊C8C2×D414yescomplemented
211C23×C59—24no—
212C23×C59—42no—
213C23×C59—42no—
214C23×C59—42no—
215C23×C59—42no—
216C23×C59—42no—
217C23×C59—42no—
218C23×C59—48no—
219C23×C59—48no—
220C23×C59—48no—
221C23×C59—84no—
222C23×C59—84no—
223C23×C59—84no—
224C23×C59—84no—
225C23×C59#12012yes—
226C23×C59#12012yes—
227C23×C59#12112yes—
228C23×C59C2×SD1612yes—
229C23×C59#13512yes—
230C23×C59AGL(1,ℤ/8)12yes—
231C23×C59#13712yes—
232C23×C59C22×D411yescharacteristic
233C22×D59—22no—
234C22×D59—22no—
235C22×D59—22no—
236C22×D59—22no—
237C22×D59—22no—
238C22×D59—22no—
239C22×D59—28no—
240C22×D59—28no—
241C22×D59—28no—
242C22×D59—44no—
243C22×D59—44no—
244C22×D59—44no—
245C22×D59—44no—
246C22×D59C2×SD1614yescomplemented
247D4×C59—24no—
248D4×C59—24no—
249D4×C59—42no—
250D4×C59—42no—
251D4×C59—48no—
252C2×C4×C59—24no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—48no—
256C2×C4×C59#12012yes—
257C2×C4×C59#12014yes—
258C2×C4×C59#12012yes—
259C2×C4×C59#12114yes—
260C2×C4×C59#12112yes—
261C2×C4×C59#12114yes—
262C2×C4×C59#12714yes—
263C2×C4×C59C22×D411yescharacteristic
264C2×C4×C59C22×D411yescharacteristic
265C2×C4×C59C22×D411yescharacteristic
266C2×C4×C59C22×D411yescharacteristic
267C2×C4×C59C22×D411yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C22⋊D59—432no—
270C2×Dic59—22no—
271C2×Dic59—24no—
272C2×Dic59—24no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—42no—
276C2×Dic59—42no—
277C2×Dic59—42no—
278C2×Dic59—42no—
279C2×Dic59—48no—
280C2×Dic59—44no—
281C2×Dic59—48no—
282C4×D59—42no—
283C4×D59—42no—
284C4×D59—42no—
285C4×D59—42no—
286C4×D59—48no—
287Dic118—24no—
288Dic118—24no—
289Dic118—42no—
290Dic118—42no—
291Dic118—48no—
292C8×C59—42no—
293C59⋊C8—24no—
294C2×#2000—591nomaximal, Sylow
295C22×C59—44no—
296C22×C59—44no—
297C22×C59—44no—
298C22×C59—82no—
299C22×C59—82no—
300C22×C59—816no—
301C22×C59—82no—
302C22×C59—82no—
303C22×C59#39214yes—
304C22×C59#44814yes—
305C22×C59#44914yes—
306C22×C59#45014yes—
307C22×C59#45214yes—
308C22×C59#46514yes—
309C22×C59#46814yes—
310C22×C59C2×#12011yescharacteristic
311C22×C59C2×#12011yescharacteristic
312C22×C59C2×#12111yescharacteristic
313C22×C59C22×SD1611yescharacteristic
314C22×C59C2×#13511yescharacteristic
315C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C59C2×#13711yescharacteristic
317C2×D59—24no—
318C2×D59—24no—
319C2×D59—24no—
320C2×D59—42no—
321C2×D59—42no—
322C2×D59—42no—
323C2×D59—416no—
324C2×D59—42no—
325C4×C59—44no—
326C4×C59#39214yes—
327C4×C59C2×#12011yescharacteristic
328C4×C59C2×#12111yescharacteristic
329C4×C59C2×#12111yescharacteristic
330C4×C59C2×#12711yescharacteristic
331Dic59—44no—
332Dic59—42no—
333Dic59—44no—
334C23×SD16—591no—
335C22×C22⋊Q8—591no—
336C22×#121—591no—
337C22×#103—591no—
338C22×#102D5911yescharacteristic, complemented
339C22×C22⋊C8—591no—
340#2000—598no—
341C2×#340—591no—
342C2×C59—84no—
343C2×C59#200018yescomplemented
344C2×C59C2×#39211yescharacteristic
345C2×C59C2×#45011yescharacteristic
346C2×C59C2×#44811yescharacteristic
347C2×C59C2×#44911yescharacteristic
348C2×C59C2×#45211yescharacteristic
349C2×C59C2×#46511yescharacteristic
350C2×C59C2×#46811yescharacteristic
351D59—44no—
352C23×Q8—591no—
353C23×D4—1181no—
354C23×D4C2×D5911yescharacteristic
355C24×C4—591no—
356C22×SD16—594no—
357C22×SD16—1184no—
358C22×SD16—1184no—
359C22×SD16—1184no—
360C23×C8—591no—
361C23×C8C2×D5911yescharacteristic
362C2×C22⋊Q8—594no—
363C2×C22⋊Q8—1182no—
364C2×C22⋊Q8—1184no—
365C2×C22⋊Q8—1184no—
366C2×#121—594no—
367C2×#121—1184no—
368C2×#121—1182no—
369C2×#121—1184no—
370C22×C4⋊C4—591no—
371C22×C4⋊C4—1181no—
372C22×C4⋊C4C2×D5911yescharacteristic
373C22×C22⋊C4—1181no—
374C22×C22⋊C4—1181no—
375C2×#103—594no—
376C2×#103—1184no—
377C2×#102—24no—
378C2×#102C2×D5914yescomplemented
379C2×C22⋊C8—594no—
380C2×C22⋊C8—1184no—
381#340—594no—
382C59C2×#200011yescharacteristic, complemented, Sylow
383C25—21no—
384C25—591no—
385C22×Q8—594no—
386C22×Q8—592no—
387C22×Q8—1181no—
388C22×Q8—1182no—
389C22×Q8—1182no—
390C22×Q8—1182no—
391C22×Q8—1182no—
392C22×Q8—1182no—
393C22×D4—22no—
394C22×D4—22no—
395C22×D4—22no—
396C22×D4—21no—
397C22×D4—22no—
398C22×D4—22no—
399C22×D4—1184no—
400C22×D4—1188no—
401C22×D4—2364no—
402C22×D4—2364no—
403C22×D4D23614yes—
404C22×D4C22×D5912yes—
405C23×C4—21no—
406C23×C4—591no—
407C23×C4—592no—
408C23×C4—592no—
409C23×C4—1181no—
410C23×C4—1181no—
411C23×C4—1182no—
412C23×C4—1182no—
413C23×C4—1182no—
414C23×C4—1182no—
415C23×C4—1182no—
416C23×C4—1182no—
417C23×C4C22×D5911yescharacteristic
418C2×SD16—1188no—
419C2×SD16—1188no—
420C2×SD16—11832no—
421C2×SD16—1188no—
422C22×C8—22no—
423C22×C8—22no—
424C22×C8—22no—
425C22×C8—594no—
426C22×C8—592no—
427C22×C8—1182no—
428C22×C8—1182no—
429C22×C8C22×D5912yes—
430C22⋊Q8—1188no—
431C22⋊Q8—11816no—
432C22⋊Q8—1188no—
433#121—1188no—
434#121—11816no—
435#121—1188no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—594no—
439C2×C4⋊C4—592no—
440C2×C4⋊C4—1184no—
441C2×C4⋊C4—1188no—
442C2×C4⋊C4—1182no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4C22⋊D5914yescomplemented
445C2×C4⋊C4C22×D5912yes—
446C2×C22⋊C4—1184no—
447C2×C22⋊C4—1188no—
448C2×C22⋊C4—1184no—
449C2×C22⋊C4—1188no—
450#103—1188no—
451#102—28no—
452C22⋊C8—1188no—
453C24—24no—
454C24—22no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24—42no—
459C24—42no—
460C24—42no—
461C24—594no—
462C24—592no—
463C24—1182no—
464C24—1182no—
465C24—1182no—
466C24—1182no—
467C24—1182no—
468C24—1182no—
469C24D4×D5911yescharacteristic
470C2×Q8—594no—
471C2×Q8—1184no—
472C2×Q8—1182no—
473C2×Q8—1188no—
474C2×Q8—1188no—
475C2×Q8—1182no—
476C2×Q8—1182no—
477C2×Q8—1182no—
478C2×Q8—1182no—
479C2×Q8—2362no—
480C2×Q8—2362no—
481C2×Q8—2364no—
482C2×Q8—2364no—
483C2×D4—28no—
484C2×D4—24no—
485C2×D4—28no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—42no—
492C2×D4—44no—
493C2×D4—42no—
494C2×D4—44no—
495C2×D4—11816no—
496C2×D4—2368no—
497C2×D4—2368no—
498C2×D4—23632no—
499C2×D4C2×D23614yes—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—592no—
505C22×C4—1184no—
506C22×C4—1182no—
507C22×C4—1182no—
508C22×C4—1184no—
509C22×C4—1182no—
510C22×C4—1182no—
511C22×C4—1182no—
512C22×C4—1184no—
513C22×C4—1184no—
514C22×C4—1184no—
515C22×C4—1182no—
516C22×C4—1182no—
517C22×C4—1182no—
518C22×C4—1182no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—2362no—
522C22×C4—2362no—
523C22×C4—2362no—
524C22×C4—2362no—
525C22×C4—2364no—
526C22×C4—2364no—
527C22×C4—2364no—
528C22×C4—2364no—
529C22×C4C2×D23612yes—
530C22×C4#1174568512yes—
531C22×C4D4×D5911yescharacteristic
532C22×C4D4×D5912yes—
533C22×C4D4×D5912yes—
534C22×C4D4×D5912yes—
535C22×C4C2×C22⋊D5912yes—
536C22×C4C23×D5911yescharacteristic
537SD16—11832no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—44no—
542C2×C8—594no—
543C2×C8—1188no—
544C2×C8—1182no—
545C2×C8—1182no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—594no—
549C4⋊C4—11816no—
550C4⋊C4—1184no—
551C4⋊C4—1182no—
552C4⋊C4C2×C22⋊D5914yescomplemented
553C22⋊C4—11816no—
554C22⋊C4—11816no—
555C23—24no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—48no—
562C23—48no—
563C23—48no—
564C23—42no—
565C23—84no—
566C23—84no—
567C23—84no—
568C23—84no—
569C23—594no—
570C23—1182no—
571C23—1182no—
572C23—1182no—
573C23—1182no—
574C23—1182no—
575C23—1188no—
576C23—1188no—
577C23—1188no—
578C23—1182no—
579C23—2364no—
580C23—2364no—
581C23—2364no—
582C23—2364no—
583C23#1427369512yes—
584C23#1427369712yes—
585C23#1427370012yes—
586C23SD16×D5912yes—
587C23#1427374612yes—
588C23#1427375112yes—
589C23#1427375612yes—
590C23C2×D4×D5911yescharacteristic
591Q8—1184no—
592Q8—1184no—
593Q8—2362no—
594Q8—2362no—
595Q8—2368no—
596D4—24no—
597D4—24no—
598D4—42no—
599D4—42no—
600D4—48no—
601D4—23632no—
602C2×C4—24no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—48no—
606C2×C4—1182no—
607C2×C4—1184no—
608C2×C4—1182no—
609C2×C4—1184no—
610C2×C4—1182no—
611C2×C4—2362no—
612C2×C4—2362no—
613C2×C4—2362no—
614C2×C4—2362no—
615C2×C4—2368no—
616C2×C4—2364no—
617C2×C4—2368no—
618C2×C4—2362no—
619C2×C4—2362no—
620C2×C4—2362no—
621C2×C4—2362no—
622C2×C4—2368no—
623C2×C4#1427369512yes—
624C2×C4#1427369714yes—
625C2×C4#1427369712yes—
626C2×C4#1427370014yes—
627C2×C4#1427370012yes—
628C2×C4#1427370114yes—
629C2×C4#1427372314yes—
630C2×C4C2×D4×D5911yescharacteristic
631C2×C4C2×D4×D5911yescharacteristic
632C2×C4C2×D4×D5911yescharacteristic
633C2×C4C22×C22⋊D5911yescharacteristic
634C2×C4C22×D23611yescharacteristic
635C2×C4C2×#1174568511yescharacteristic
636C8—42no—
637C8—1184no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—82no—
642C22—82no—
643C22—82no—
644C22—816no—
645C22—82no—
646C22—1184no—
647C22—1184no—
648C22—1184no—
649C22—2362no—
650C22—2362no—
651C22—23616no—
652C22—2362no—
653C22—2362no—
654C22#1683731114yes—
655C22#1683753914yes—
656C22#1683754414yes—
657C22#1683755414yes—
658C22#1683756514yes—
659C22#1683763014yes—
660C22#1683764714yes—
661C22C2×#1427369511yescharacteristic
662C22C2×#1427369711yescharacteristic
663C22C2×#1427370011yescharacteristic
664C22C2×SD16×D5911yescharacteristic
665C22C2×#1427374611yescharacteristic
666C22C2×#1427375111yescharacteristic
667C22C2×#1427375611yescharacteristic
668C4—44no—
669C4—2362no—
670C4—2364no—
671C4—2364no—
672C4#1683731114yes—
673C4C2×#1427369711yescharacteristic
674C4C2×#1427370011yescharacteristic
675C4C2×#1427370111yescharacteristic
676C4C2×#1427372311yescharacteristic
677C2—84no—
678C2—2364no—
679C2#2142510018yesdirect product factor
680C2C2×#1683731111yescharacteristic
681C2C2×#1683755411yescharacteristic
682C2C2×#1683753911yescharacteristic
683C2C2×#1683754411yescharacteristic
684C2C2×#1683756511yescharacteristic
685C2C2×#1683763011yescharacteristic
686C2C2×#1683764711yescharacteristic
subgroupG/H
centerC24D4×D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC22×#102×C59C2
socleC24×C59C2×D4
prime radicalC22×#14273698C2
hypercenterC22×#102D59
hypocenterC59C2×#2000
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#102

Complements

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

NH ≅ G/Ntype
1. C23×#11745670C2semidirect
2. C22×#14273707C2semidirect
4. C22×#14273652C2semidirect
5. C22×(C2×D59)⋊C8C2semidirect
6. #21425100C2direct (N × H)
7. C2×#16837164C2semidirect
8. C22×#102×C59C2semidirect
15. C22×#11745670C22semidirect
20. C2×#14273707C22semidirect
30. C2×#14273652C22semidirect
32. C2×(C2×D59)⋊C8C22semidirect
33. #16837164C22semidirect
38. C2×#102×C59C22semidirect
46. C22×Dic118D4semidirect
69. C22×C59⋊C8D4semidirect
106. C2×C4⋊C4×C59D4semidirect
124. C23×D59SD16semidirect
192. C2×Dic118C2×D4semidirect
199. C4⋊C4×C59C2×D4semidirect
210. C2×C59⋊C8C2×D4semidirect
246. C22×D59C2×SD16semidirect
338. C22×#102D59semidirect
343. C2×C59#2000semidirect
378. C2×#102C2×D59semidirect
382. C59C2×#2000semidirect
444. C2×C4⋊C4C22⋊D59semidirect
552. C4⋊C4C2×C22⋊D59semidirect
679. C2#21425100direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#117456702
C22×#142737072
C22×#142736982
C22×#142736522
C22×(C2×D59)⋊C82
#214251002
C2×#168371642
C22×#102×C592
C2×#200059