Finite Group Databasebeta

← #28595107

Subgroups — #28595107

Order 15104.

1044 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×#16837600C211yesmaximal, characteristic
2C2×C4×#11745671C211yesmaximal, characteristic, complemented
3#21426818C211yesmaximal, characteristic
4#21426461C211yesmaximal, characteristic, complemented
5#21425021C211yesmaximal, characteristic
6#21424861C211yesmaximal, characteristic, complemented
7#21424726C211yesmaximal, characteristic, complemented
8#21424715C211yesmaximal, characteristic, complemented
9#21424453C211yesmaximal, characteristic, complemented
10#21424449C211yesmaximal, characteristic, complemented
11#21424109C211yesmaximal, characteristic, complemented
12#21423956C211yesmaximal, characteristic, complemented
13#21423922C211yesmaximal, characteristic, complemented
14C4×#14273648C211yesmaximal, characteristic, complemented
15C2×C59×#440C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C2×#14273723C2211yescharacteristic
18C2×Q8×Dic59C2211yescharacteristic
19C2×Q8×Dic59C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837600C418yescomplemented
22C4×#11745671—24no—
23C2×#14273658C2211yescharacteristic
24C2×Dic59⋊C8C2211yescharacteristic
25C2×Dic59⋊C8C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273649C2211yescharacteristic
28C2×#14273649C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×C4×C59⋊C8C2211yescharacteristic
33#16837305C2211yescharacteristic
34#16837303C2211yescharacteristic
35#16837281—21no—
36#16837281—21no—
37#16837278—21no—
38#16837278—21no—
39#16837267C2211yescharacteristic
40C4⋊C4×Dic59—21no—
41C4⋊C4×Dic59—21no—
42C4⋊C4×Dic59C2211yescharacteristic
43C4⋊C4×Dic59C2211yescharacteristic
44C4×C4⋊Dic59—21no—
45C4×C4⋊Dic59C2211yescharacteristic
46#16837248—21no—
47#16837248C2211yescharacteristic
48#16837165C2211yescharacteristic
49#16837165C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837156C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×SD16×C59C2211yescharacteristic
55C2×C4×Q8×C59C2211yescharacteristic
56C2×C4×D4×C59C2211yescharacteristic
57C59×#440—24no—
58C2×#107×C59C2211yescharacteristic
59C2×#103×C59C2211yescharacteristic
60C2×#102×C59C2211yescharacteristic
61C2×#97×C59C2211yescharacteristic
62C22×D236C2311yescharacteristic
63C22×C22⋊D59—21no—
64C22×C22⋊D59—21no—
65C22×C4×D59—21no—
66C2×#11745671—22no—
67C2×#11745671—22no—
68C2×#11745671C2×C414yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71#14273723—22no—
72#14273723C2×C414yes—
73Q8×Dic59—22no—
74Q8×Dic59—22no—
75Q8×Dic59—22no—
76Q8×Dic59C2×C414yescomplemented
77C4×D236—22no—
78C4×D236—22no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—21no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×C4×Dic59—21no—
90C2×C4×Dic59—21no—
91C2×C4×Dic59—21no—
92C2×C4×Dic59—21no—
93C2×C4×Dic59—21no—
94C2×C4×Dic59C2311yescharacteristic
95C2×C4×Dic59C2311yescharacteristic
96#14273658—22no—
97Dic59⋊C8—22no—
98Dic59⋊C8C2×C414yescomplemented
99#14273651—22no—
100#14273649—22no—
101#14273649C2×C414yescomplemented
102#14273648—22no—
103#14273648C2×C414yescomplemented
104#14273647—22no—
105C4×C59⋊C8—22no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95D411yescharacteristic
112C59⋊#95D411yescharacteristic
113C59⋊#95D411yescharacteristic
114C59⋊#95D411yescharacteristic
115C22×Q8×C59C2311yescharacteristic
116C22×D4×C59C2311yescharacteristic
117C23×C4×C59—21no—
118C2×SD16×C59—22no—
119C2×SD16×C59—22no—
120C2×SD16×C59C2×C414yescomplemented
121C22×C8×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123C4×Q8×C59—22no—
124C4×Q8×C59D414yescomplemented
125C4×D4×C59—22no—
126C4×D4×C59—22no—
127C2×C4⋊C4×C59—21no—
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C22⋊C4×C59—21no—
131C2×C42×C59—21no—
132C2×C42×C59C2311yescharacteristic
133#107×C59—22no—
134#103×C59—22no—
135#102×C59—22no—
136#97×C59—22no—
137C24×C59—21no—
138C23×D59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59C22×C412yes—
143C2×Q8×C59C2×D412yes—
144C2×Q8×C59#4112yes—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59C22×C412yes—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—42no—
155C22×C4×C59—81no—
156C22×C4×C59—81no—
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2411yescharacteristic
160C2×C22⋊D59—24no—
161C2×C22⋊D59—24no—
162C2×C22⋊D59—81no—
163C2×C22⋊D59—81no—
164C2×C22⋊D59—81no—
165C2×C22⋊D59—81no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59C2×D411yescharacteristic
170C22×Dic59C2×D411yescharacteristic
171C22×Dic59C2×D411yescharacteristic
172C22×Dic59C2×D411yescharacteristic
173C2×D236—21no—
174C2×D236—21no—
175C2×D236—21no—
176C2×D236—21no—
177C2×D236—21no—
178C2×D236C22×C412yes—
179C2×C4×D59—42no—
180C2×C4×D59—81no—
181C2×C4×D59—81no—
182SD16×C59—28no—
183C2×C8×C59—21no—
184C2×C8×C59—21no—
185C2×C8×C59—21no—
186C2×C8×C59—21no—
187C2×C8×C59—21no—
188C2×C8×C59C22×C412yes—
189C4⋊C4×C59—24no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59C2×D412yes—
194C22⋊C4×C59—42no—
195C42×C59—24no—
196C42×C59C2×D412yes—
197C42×C59#4112yes—
198C22⋊Dic59—81no—
199C22⋊Dic59—81no—
200#11745671—28no—
201(C2×D59)⋊C4—42no—
202(C2×D59)⋊C4—81no—
203(C2×D59)⋊C4—81no—
204C4⋊Dic59—24no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—24no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59C22×C412yes—
211C4⋊Dic59#4112yes—
212C4×Dic59—24no—
213C4×Dic59—21no—
214C4×Dic59—21no—
215C4×Dic59—24no—
216C4×Dic59—81no—
217C4×Dic59—81no—
218C4×Dic59—81no—
219C4×Dic59C22×C412yes—
220C4×Dic59#4112yes—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8C22×C412yes—
227C23×C59—22no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59C22×D411yescharacteristic
235C22×D59—22no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242Q8×C59—22no—
243Q8×C59—22no—
244Q8×C59—22no—
245Q8×C59C4×D414yes—
246D4×C59—22no—
247D4×C59—22no—
248D4×C59—41no—
249D4×C59—41no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—22no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—84no—
264C2×C4×C59#12112yes—
265C2×C4×C59#12112yes—
266C2×C4×C59C23×C411yescharacteristic
267C2×C4×C59C22×D411yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C22⋊D59—84no—
273C22⋊D59—84no—
274C2×Dic59—21no—
275C2×Dic59—21no—
276C2×Dic59—21no—
277C2×Dic59—21no—
278C2×Dic59—22no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—22no—
282C2×Dic59—21no—
283C2×Dic59—21no—
284C2×Dic59—21no—
285C2×Dic59—21no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59C4×D412yes—
294C2×Dic59C4×D412yes—
295D236—22no—
296D236—22no—
297D236—41no—
298D236—41no—
299C4×D59—84no—
300C8×C59—22no—
301C8×C59—41no—
302C59⋊C8—22no—
303C59⋊C8—41no—
304#21515—591nomaximal, Sylow
305C22×C59—42no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—81no—
309C22×C59—81no—
310C22×C59—81no—
311C22×C59—81no—
312C22×C59C2×C4×D411yescharacteristic
313C22×C59C2×#12111yescharacteristic
314C22×C59#52511yescharacteristic
315C22×C59#57611yescharacteristic
316C22×C59#57711yescharacteristic
317C22×C59#57711yescharacteristic
318C22×C59#57711yescharacteristic
319C2×D59—42no—
320C2×D59—42no—
321C2×D59—42no—
322C2×D59—81no—
323C2×D59—81no—
324C2×D59—81no—
325C2×D59—81no—
326C4×C59—22no—
327C4×C59—22no—
328C4×C59—24no—
329C4×C59—42no—
330C4×C59—81no—
331C4×C59C2×C4×D411yescharacteristic
332C4×C59C4×#4111yescharacteristic
333C4×C59#52911yescharacteristic
334C4×C59#53211yescharacteristic
335Dic59—22no—
336Dic59—22no—
337Dic59—41no—
338Dic59—42no—
339Dic59—41no—
340Dic59—42no—
341Dic59—81no—
342C2×#460—591no—
343C2×#440D5911yescharacteristic, complemented
344C2×C4×SD16—591no—
345#2328—591no—
346#2276—591no—
347#1982—591no—
348#1949—591no—
349#1926—591no—
350#1925—591no—
351#1880—591no—
352#1880—591no—
353#1805—591no—
354#1768—591no—
355#1762—591no—
356C4×#102—591no—
357C2×C59—82no—
358C2×C59C4×#12111yescharacteristic
359C2×C59#294611yescharacteristic
360C2×C59#294911yescharacteristic
361C2×C59#304311yescharacteristic
362C2×C59#304511yescharacteristic
363C2×C59#311911yescharacteristic
364C2×C59#312611yescharacteristic
365D59—82no—
366C22×SD16—591no—
367C22×SD16C2×D5911yescharacteristic
368C2×#127—591no—
369C2×C4×Q8—591no—
370C2×C4×Q8—591no—
371C2×C4×Q8C2×D5911yescharacteristic
372C2×C4×D4—591no—
373C2×C4×D4C2×D5911yescharacteristic
374#460—598no—
375#440—24no—
376C4×SD16—1184no—
377C2×#107C2×D5911yescharacteristic
378C2×#106—591no—
379C2×C4⋊C8—591no—
380C2×C4⋊C8—591no—
381C2×#103—591no—
382C2×#103C2×D5911yescharacteristic
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102C2×D5911yescharacteristic
389C2×#97C2×D5911yescharacteristic
390C2×C4×C8—591no—
391#390—591no—
392#390—591no—
393#386—1181no—
394#386—1181no—
395#386—1181no—
396#386—1181no—
397#382—591no—
398C4×C4⋊C4—591no—
399C4×C4⋊C4—591no—
400C4×C4⋊C4—591no—
401C4×C4⋊C4—1181no—
402C4×C4⋊C4—1181no—
403C4×C4⋊C4—1181no—
404#376—591no—
405#376—1181no—
406#340—591no—
407#340—591no—
408#340—591no—
409#340—591no—
410#336—591no—
411#336—591no—
412C59#2151511yescharacteristic, complemented, Sylow
413C22×Q8C22×D5911yescharacteristic
414C22×D4—591no—
415C22×D4—1181no—
416C22×D4—1181no—
417C22×D4C22×D5911yescharacteristic
418C23×C4—21no—
419C23×C4—1181no—
420C2×SD16—22no—
421C2×SD16—22no—
422C2×SD16—594no—
423C2×SD16—1182no—
424C2×SD16—1182no—
425C2×SD16C4×D5914yescomplemented
426C22×C8—591no—
427C22×C8—591no—
428C22×C8C22×D5911yescharacteristic
429C22×C8C22×D5911yescharacteristic
430#127—594no—
431#127—1182no—
432C4×Q8—22no—
433C4×Q8—594no—
434C4×Q8—1182no—
435C4×Q8—1182no—
436C4×Q8—1182no—
437C4×Q8C22⋊D5914yescomplemented
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—1182no—
441C4×D4—1182no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C42—21no—
457C2×C42—591no—
458C2×C42—591no—
459C2×C42—1181no—
460C2×C42—1181no—
461C2×C42—1181no—
462C2×C42—1181no—
463C2×C42—1181no—
464C2×C42C22×D5911yescharacteristic
465#107—22no—
466#106—1182no—
467C4⋊C8—594no—
468C4⋊C8—1182no—
469#103—22no—
470#103—1182no—
471#102—22no—
472#102—594no—
473#102—594no—
474#102—1182no—
475#102—1182no—
476#102—1182no—
477#97—22no—
478C4×C8—1182no—
479#95—591no—
480#95—591no—
481#95—591no—
482#95—591no—
483#95—1181no—
484#95—1181no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488C24—21no—
489C24—1181no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×C4×D5912yes—
494C2×Q8#1174568512yes—
495C2×Q8C2×C22⋊D5912yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—592no—
502C2×D4—1184no—
503C2×D4—1184no—
504C2×D4—1181no—
505C2×D4—1181no—
506C2×D4—1181no—
507C2×D4—1181no—
508C2×D4—1181no—
509C2×D4—4721no—
510C2×D4—4721no—
511C2×D4—4721no—
512C2×D4—4721no—
513C2×D4C2×C4×D5912yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—591no—
521C22×C4—591no—
522C22×C4—591no—
523C22×C4—591no—
524C22×C4—1181no—
525C22×C4—1181no—
526C22×C4—1181no—
527C22×C4—4721no—
528C22×C4—4721no—
529C22×C4—2362no—
530C22×C4D4×D5911yescharacteristic
531C22×C4D4×D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533SD16—28no—
534SD16—1188no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—592no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8C2×C4×D5912yes—
547C4⋊C4—24no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—592no—
552C4⋊C4—592no—
553C4⋊C4—1184no—
554C4⋊C4—1184no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4C2×C22⋊D5912yes—
560C22⋊C4—42no—
561C22⋊C4—4721no—
562C22⋊C4—4721no—
563C22⋊C4—4721no—
564C22⋊C4—4721no—
565C22⋊C4—2362no—
566C42—24no—
567C42—592no—
568C42—592no—
569C42—1184no—
570C42—1184no—
571C42—1181no—
572C42—1181no—
573C42—4721no—
574C42—4721no—
575C42—4721no—
576C42#1174568712yes—
577C42C2×C22⋊D5912yes—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—1182no—
586C23—2361no—
587C23—2361no—
588C23—2361no—
589C23—2361no—
590C23—2361no—
591C23—2361no—
592C23C2×D4×D5911yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—22no—
596Q8C4×C22⋊D5914yes—
597D4—22no—
598D4—22no—
599D4—41no—
600D4—41no—
601D4—1182no—
602D4—1182no—
603D4—4724no—
604D4—4724no—
605D4—2361no—
606D4—2361no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4—592no—
622C2×C4—592no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—1181no—
626C2×C4—1181no—
627C2×C4—1181no—
628C2×C4—1182no—
629C2×C4—1181no—
630C2×C4—1181no—
631C2×C4—1181no—
632C2×C4—1181no—
633C2×C4—1181no—
634C2×C4—1182no—
635C2×C4—4724no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4#1427369912yes—
644C2×C4#1427369912yes—
645C2×C4C22×C4×D5911yescharacteristic
646C2×C4C22×C22⋊D5911yescharacteristic
647C2×C4#41×D5911yescharacteristic
648C2×C4#41×D5911yescharacteristic
649C2×C4C2×#1174568711yescharacteristic
650C2×C4C2×#1174568511yescharacteristic
651C8—22no—
652C8—41no—
653C8—1182no—
654C8—2361no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—4721no—
663C22—4721no—
664C22—4721no—
665C22—4721no—
666C22—2362no—
667C22—2362no—
668C22—2362no—
669C22C4×D4×D5911yescharacteristic
670C22C2×#1427369911yescharacteristic
671C22#1683791111yescharacteristic
672C22#1683820611yescharacteristic
673C22#1683821111yescharacteristic
674C22#1683821111yescharacteristic
675C22#1683821211yescharacteristic
676C4—22no—
677C4—22no—
678C4—24no—
679C4—42no—
680C4—81no—
681C4—1182no—
682C4—1182no—
683C4—4721no—
684C4—2361no—
685C4—2362no—
686C4—2361no—
687C4—2362no—
688C4C2×C4×C22⋊D5911yescharacteristic
689C4C4×#1174568711yescharacteristic
690C4#1683793211yescharacteristic
691C4#1683794811yescharacteristic
692C2—82no—
693C2—4722no—
694C2C4×#1427369911yescharacteristic
695C2#2143292711yescharacteristic
696C2#2143295211yescharacteristic
697C2#2143361911yescharacteristic
698C2#2143363911yescharacteristic
699C2#2143429311yescharacteristic
700C2#2143438611yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#440C2
socleC23×C59C22×D4
prime radicalC2×#14273723C22
cosocleC22×C4×C59C24
hypercenterC2×#440D59
hypocenterC59#21515
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745671C2semidirect
4. #21426461C2semidirect
6. #21424861C2semidirect
7. #21424726C2semidirect
8. #21424715C2semidirect
9. #21424453C2semidirect
10. #21424449C2semidirect
11. #21424109C2semidirect
12. #21423956C2semidirect
13. #21423922C2semidirect
14. C4×#14273648C2semidirect
15. C2×C59×#440C2semidirect
21. #16837600C4semidirect
68. C2×#11745671C2×C4semidirect
76. Q8×Dic59C2×C4semidirect
98. Dic59⋊C8C2×C4semidirect
101. #14273649C2×C4semidirect
103. #14273648C2×C4semidirect
120. C2×SD16×C59C2×C4semidirect
124. C4×Q8×C59D4semidirect
343. C2×#440D59semidirect
412. C59#21515semidirect
425. C2×SD16C4×D59semidirect
437. C4×Q8C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376002
C2×C4×#117456712
#214268182
#214264612
#214250212
#214248612
#214247262
#214247152
#214244532
#214244492
#214241092
#214239562
#214239222
C4×#142736482
C2×C59×#4402
#2151559