Finite Group Databasebeta

← #28595097

Subgroups — #28595097

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×#16837599C211yesmaximal, characteristic
2C2×#16837502C211yesmaximal, characteristic, complemented
3C2×C4×#11745670C211yesmaximal, characteristic, complemented
4#21426459C211yesmaximal, characteristic, complemented
5#21425024C211yesmaximal, characteristic
6#21424862C211yesmaximal, characteristic, complemented
7#21424720C211yesmaximal, characteristic, complemented
8#21424713C211yesmaximal, characteristic, complemented
9#21424454C211yesmaximal, characteristic, complemented
10#21424454C211yesmaximal, characteristic, complemented
11#21424108C211yesmaximal, characteristic, complemented
12#21423953C211yesmaximal, characteristic, complemented
13#21423921C211yesmaximal, characteristic, complemented
14C4×#14273648C211yesmaximal, characteristic, complemented
15C59×#2328C211yesmaximal, 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×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×#14273648C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38C4×C4⋊Dic59C2211yescharacteristic
39C4×C4⋊Dic59C2211yescharacteristic
40C4×C4⋊Dic59C2211yescharacteristic
41#16837253—21no—
42#16837253—21no—
43#16837253—21no—
44#16837247—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×#127×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C59×#390C2211yescharacteristic
55C59×#390C2211yescharacteristic
56C59×#386—21no—
57C59×#386—21no—
58C59×#386—21no—
59C59×#386—21no—
60C59×#382C2211yescharacteristic
61C59×#376C2211yescharacteristic
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—22no—
77C4×Dic118C2×C414yescomplemented
78C4×Dic118D414yescomplemented
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×C4×Dic59—21no—
86C2×C4×Dic59—21no—
87C2×C4×Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90C2×C4×Dic59—21no—
91#14273660—22no—
92#14273658—22no—
93C4⋊(C59⋊C8)—22no—
94C4⋊(C59⋊C8)C2×C414yescomplemented
95#14273650—22no—
96#14273650—22no—
97#14273648—22no—
98#14273648—22no—
99#14273648—22no—
100#14273648—22no—
101#14273648C2×C414yescomplemented
102#14273648C2×C414yescomplemented
103#14273638—22no—
104C4×C59⋊C8—22no—
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—22no—
119C4×D4×C59—22no—
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C42×C59C2311yescharacteristic
129C2×C42×C59C2311yescharacteristic
130C2×C42×C59C2311yescharacteristic
131#95×C59—21no—
132#95×C59—21no—
133#95×C59D411yescharacteristic
134#95×C59D411yescharacteristic
135#95×C59D411yescharacteristic
136#95×C59D411yescharacteristic
137C24×C59—21no—
138C24×C59—21no—
139C2×D4×C59—24no—
140C2×D4×C59—24no—
141C2×D4×C59—21no—
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—81no—
152C2×D4×C59—81no—
153C2×D4×C59—81no—
154C2×D4×C59—81no—
155C2×D4×C59C22×C412yes—
156C2×D4×C59C22×C412yes—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—42no—
160C22×C4×C59—42no—
161C22×C4×C59—81no—
162C22×C4×C59—81no—
163C22×C4×C59—81no—
164C22×C4×C59—81no—
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2411yescharacteristic
172C22×Dic59—21no—
173C22×Dic59—21no—
174C22×Dic59—21no—
175C22×Dic59—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118C22×C412yes—
180C2×Dic118C2×D412yes—
181C2×Dic118#4112yes—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C22⋊C4×C59—42no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—81no—
189C22⋊C4×C59—81no—
190C22⋊C4×C59—81no—
191C22⋊C4×C59—81no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59C22×C412yes—
195C42×C59C2×D412yes—
196C42×C59#4112yes—
197C42×C59#4112yes—
198#11745670—28no—
199#11745670—28no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59C22×C412yes—
204C4⋊Dic59C2×D412yes—
205C4⋊Dic59#4112yes—
206Dic59⋊C4—24no—
207Dic59⋊C4—24no—
208Dic59⋊C4—24no—
209C4×Dic59—24no—
210C4×Dic59—24no—
211C4×Dic59—24no—
212C4×Dic59—81no—
213C4×Dic59—81no—
214C4×Dic59—81no—
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—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8C22×C412yes—
226C2×C59⋊C8C22×C412yes—
227C23×C59—22no—
228C23×C59—22no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
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×C59C22×D411yescharacteristic
242D4×C59—22no—
243D4×C59—22no—
244D4×C59—22no—
245D4×C59—22no—
246D4×C59—41no—
247D4×C59—41no—
248D4×C59—41no—
249D4×C59—41no—
250D4×C59—84no—
251D4×C59—84no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
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—21no—
265C2×C4×C59—21no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—84no—
273C2×C4×C59—84no—
274C2×C4×C59C4×D412yes—
275C2×C4×C59C4×D412yes—
276C2×C4×C59#12112yes—
277C2×C4×C59#12112yes—
278C2×C4×C59C23×C411yescharacteristic
279C2×C4×C59C22×D411yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59C2×#4111yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—22no—
289C2×Dic59—22no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296Dic118—22no—
297Dic118—22no—
298Dic118—22no—
299Dic118C4×D414yes—
300C59⋊C8—22no—
301C59⋊C8—22no—
302C59⋊C8—41no—
303C59⋊C8—41no—
304#21515—591nomaximal, Sylow
305C22×C59—42no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—81no—
312C22×C59—81no—
313C22×C59—81no—
314C22×C59—81no—
315C22×C59—81no—
316C22×C59—81no—
317C22×C59—81no—
318C22×C59—81no—
319C22×C59C2×C4×D411yescharacteristic
320C22×C59C2×#12111yescharacteristic
321C22×C59#52511yescharacteristic
322C22×C59#57611yescharacteristic
323C22×C59#57711yescharacteristic
324C22×C59#57711yescharacteristic
325C22×C59#57711yescharacteristic
326C4×C59—22no—
327C4×C59—22no—
328C4×C59—22no—
329C4×C59—22no—
330C4×C59—41no—
331C4×C59—41no—
332C4×C59—81no—
333C4×C59—81no—
334C4×C59C2×C4×D411yescharacteristic
335C4×C59C4×#4111yescharacteristic
336C4×C59#52911yescharacteristic
337C4×C59#53211yescharacteristic
338Dic59—24no—
339Dic59—42no—
340Dic59—42no—
341Dic59—42no—
342C2×#460—591no—
343C2×#440—591no—
344C2×C4×SD16—591no—
345#2328D5911yescharacteristic
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×C59—82no—
359C2×C59C4×#12111yescharacteristic
360C2×C59#294611yescharacteristic
361C2×C59#294911yescharacteristic
362C2×C59#304311yescharacteristic
363C2×C59#304511yescharacteristic
364C2×C59#311911yescharacteristic
365C2×C59#312611yescharacteristic
366C22×SD16—591no—
367C22×SD16—591no—
368C2×#127C2×D5911yescharacteristic
369C2×C4×Q8—591no—
370C2×C4×Q8—591no—
371C2×C4×Q8—591no—
372C2×C4×D4C2×D5911yescharacteristic
373C2×C4×D4C2×D5911yescharacteristic
374#460—598no—
375#440—1184no—
376C4×SD16—1184no—
377C2×#107—591no—
378C2×#106—591no—
379C2×C4⋊C8—591no—
380C2×C4⋊C8—591no—
381C2×#103—591no—
382C2×#103—591no—
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×#97—591no—
390C2×C4×C8—591no—
391#390C2×D5911yescharacteristic
392#390C2×D5911yescharacteristic
393#386—21no—
394#386—21no—
395#386—21no—
396#386—21no—
397#382C2×D5911yescharacteristic
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—1181no—
405#376C2×D5911yescharacteristic
406#340—591no—
407#340—591no—
408#340—591no—
409#340—591no—
410#336—591no—
411#336—591no—
412C59#2151511yescharacteristic, complemented, Sylow
413C22×Q8—591no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4C22×D5911yescharacteristic
417C22×D4C22×D5911yescharacteristic
418C23×C4—21no—
419C23×C4—21no—
420C2×SD16—594no—
421C2×SD16—594no—
422C2×SD16—1182no—
423C2×SD16—1182no—
424C2×SD16—1182no—
425C2×SD16—1182no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430#127—22no—
431#127C4×D5914yes—
432C4×Q8—594no—
433C4×Q8—594no—
434C4×Q8—1182no—
435C4×Q8—1182no—
436C4×Q8—1182no—
437C4×Q8—1182no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C42—1181no—
457C2×C42—1181no—
458C2×C42—1181no—
459C2×C42—1181no—
460C2×C42—1181no—
461C2×C42—1181no—
462C2×C42C22×D5911yescharacteristic
463C2×C42C22×D5911yescharacteristic
464C2×C42C22×D5911yescharacteristic
465#107—1182no—
466#106—1182no—
467C4⋊C8—594no—
468C4⋊C8—1182no—
469#103—1182no—
470#103—1182no—
471#102—594no—
472#102—594no—
473#102—1182no—
474#102—1182no—
475#102—1182no—
476#102—1182no—
477#97—1182no—
478C4×C8—1182no—
479#95—21no—
480#95—21no—
481#95—1181no—
482#95—1181no—
483#95—1181no—
484#95C22⋊D5911yescharacteristic
485#95C22⋊D5911yescharacteristic
486#95C22⋊D5911yescharacteristic
487#95C22⋊D5911yescharacteristic
488C24—21no—
489C24—21no—
490C2×Q8—592no—
491C2×Q8—592no—
492C2×Q8—592no—
493C2×Q8—1181no—
494C2×Q8—1181no—
495C2×Q8—1181no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4—81no—
512C2×D4C2×C4×D5912yes—
513C2×D4C2×C4×D5912yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—1181no—
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533SD16—1188no—
534SD16—1188no—
535C2×C8—592no—
536C2×C8—592no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—592no—
552C4⋊C4—592no—
553C4⋊C4—592no—
554C4⋊C4—1184no—
555C4⋊C4—1184no—
556C4⋊C4—1184no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—1181no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C42—21no—
567C42—21no—
568C42—1184no—
569C42—1184no—
570C42—1184no—
571C42—4721no—
572C42—4721no—
573C42—4721no—
574C42C2×C4×D5912yes—
575C42#1174568512yes—
576C42D4×D5912yes—
577C42#1174568712yes—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C22×C22⋊D5911yescharacteristic
593Q8—594no—
594Q8—1182no—
595Q8—1182no—
596Q8—1182no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—84no—
606D4—84no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
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—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4—1182no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—1182no—
634C2×C4—1182no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4C4×C22⋊D5912yes—
642C2×C4C4×C22⋊D5912yes—
643C2×C4#1427369812yes—
644C2×C4#1427369812yes—
645C2×C4C22×C4×D5911yescharacteristic
646C2×C4C2×D4×D5911yescharacteristic
647C2×C4#41×D5911yescharacteristic
648C2×C4#41×D5911yescharacteristic
649C2×C4C2×#1174568711yescharacteristic
650C2×C4C2×#1174568511yescharacteristic
651C8—1182no—
652C8—1182no—
653C8—2361no—
654C8—2361no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×C4×C22⋊D5911yescharacteristic
670C22C2×#1427369811yescharacteristic
671C22#1683790911yescharacteristic
672C22#1683820511yescharacteristic
673C22#1683821311yescharacteristic
674C22#1683821311yescharacteristic
675C22#1683821311yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—41no—
682C4—81no—
683C4—81no—
684C4—1184no—
685C4—2362no—
686C4—2362no—
687C4—2362no—
688C4C4×D4×D5911yescharacteristic
689C4C4×#1174568711yescharacteristic
690C4#1683793411yescharacteristic
691C4#1683794911yescharacteristic
692C2—82no—
693C2—82no—
694C2C4×#1427369811yescharacteristic
695C2#2143292811yescharacteristic
696C2#2143295311yescharacteristic
697C2#2143361311yescharacteristic
698C2#2143363111yescharacteristic
699C2#2143428911yescharacteristic
700C2#2143438211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2328C2
socleC23×C59C22×D4
prime radicalC2×#127×C59C22
cosocleC22×C4×C59C24
hypercenter#2328D59
hypocenterC59#21515
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ #376 ◁ #2328

Complements

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

NH ≅ G/Ntype
2. C2×#16837502C2semidirect
3. C2×C4×#11745670C2semidirect
4. #21426459C2semidirect
6. #21424862C2semidirect
7. #21424720C2semidirect
8. #21424713C2semidirect
9. #21424454C2semidirect
10. #21424454C2semidirect
11. #21424108C2semidirect
12. #21423953C2semidirect
13. #21423921C2semidirect
14. C4×#14273648C2semidirect
21. #16837599C4semidirect
67. C2×#11745670C2×C4semidirect
68. C2×#11745670C2×C4semidirect
77. C4×Dic118C2×C4semidirect
78. C4×Dic118D4semidirect
94. C4⋊(C59⋊C8)C2×C4semidirect
101. #14273648C2×C4semidirect
102. #14273648C2×C4semidirect
412. C59#21515semidirect

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
#214264592
#214250242
#214248622
#214247202
#214247132
#214244542
#214241082
#214239532
#214239212
C4×#142736482
C59×#23282
#2151559