Finite Group Databasebeta

← #28519980

Subgroups — #28519980

Order 15104.

2734 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273705C211yesmaximal, characteristic
2C22×C42×D59C211yesmaximal, characteristic
3C2×#16837306C212yesmaximal, complemented
4C2×#16837261C211yesmaximal, characteristic
5#21422331C211yesmaximal, characteristic, complemented
6#21422329C211yesmaximal, characteristic, complemented
7#21422328C211yesmaximal, characteristic, complemented
8Dic59⋊#95C212yesmaximal, complemented
9(C2×D59)⋊#95C212yesmaximal
10(C2×D59)⋊#95C212yesmaximal
11C59×#1436C211yesmaximal, characteristic, complemented
12C23×Dic118C2211yescharacteristic
13C23×C4×D59C2212yes—
14C23×C4×D59C2211yescharacteristic
15C2×#14273705—24no—
16C2×#14273705—24no—
17C2×#14273705C418yescomplemented
18C22×Dic59⋊C4C2212yes—
19C22×Dic59⋊C4C2211yescharacteristic
20C22×Dic59⋊C4C2211yescharacteristic
21C22×(C2×D59)⋊C4C2212yes—
22C22×(C2×D59)⋊C4C2211yescharacteristic
23C22×(C2×D59)⋊C4C2211yescharacteristic
24C22×C4×Dic59C2211yescharacteristic
25C22×C4×Dic59C2212yes—
26C2×C42×D59—24no—
27C2×C42×D59—28no—
28#16837306—28no—
29#16837261—24no—
30C2×C59⋊#95C2211yescharacteristic
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C2×C59⋊#95C2212yes—
34C2×C59⋊#95C2212yes—
35C2×C59⋊#95C2212yes—
36C2×C59⋊#95C2212yes—
37C22×C4⋊C4×C59C2211yescharacteristic
38C22×C42×C59C2211yescharacteristic
39C2×#95×C59C2211yescharacteristic
40C2×#95×C59C2212yes—
41C2×#95×C59C2212yes—
42C24×D59C2311yescharacteristic
43C22×Dic118—22no—
44C22×Dic118—22no—
45C22×Dic118—24no—
46C22×Dic118—24no—
47C22×Dic118C2×C414yescomplemented
48C23×Dic59C2312yes—
49C23×Dic59C2311yescharacteristic
50C23×Dic59C2311yescharacteristic
51C23×Dic59C2312yes—
52C23×Dic59C2311yescharacteristic
53C22×C4×D59—24no—
54C22×C4×D59—24no—
55C22×C4×D59—24no—
56C22×C4×D59—24no—
57C22×C4×D59—24no—
58C22×C4×D59—24no—
59C22×C4×D59—24no—
60C22×C4×D59—24no—
61C22×C4×D59C2×C414yes—
62C22×C4×D59D414yes—
63C22×C4×D59D414yes—
64C22×C4×D59Q818yescomplemented
65#14273705—232no—
66C2×Dic59⋊C4—22no—
67C2×Dic59⋊C4—22no—
68C2×Dic59⋊C4—22no—
69C2×Dic59⋊C4—22no—
70C2×Dic59⋊C4—24no—
71C2×Dic59⋊C4—24no—
72C2×Dic59⋊C4—24no—
73C2×Dic59⋊C4C2×C414yescomplemented
74C2×Dic59⋊C4C2×C414yescomplemented
75C2×(C2×D59)⋊C4—22no—
76C2×(C2×D59)⋊C4—22no—
77C2×(C2×D59)⋊C4—22no—
78C2×(C2×D59)⋊C4—22no—
79C2×(C2×D59)⋊C4—24no—
80C2×(C2×D59)⋊C4—24no—
81C2×(C2×D59)⋊C4—24no—
82C2×(C2×D59)⋊C4C2×C414yes—
83C2×(C2×D59)⋊C4C2×C414yes—
84C2×C4×Dic59—22no—
85C2×C4×Dic59—24no—
86C2×C4×Dic59—24no—
87C2×C4×Dic59—24no—
88C2×C4×Dic59D418yes—
89C42×D59—232no—
90C59⋊#95—22no—
91C59⋊#95—24no—
92C59⋊#95—24no—
93C59⋊#95—24no—
94C59⋊#95—24no—
95C59⋊#95—24no—
96C59⋊#95—24no—
97C23×C4×C59C2312yes—
98C23×C4×C59C2311yescharacteristic
99C23×C4×C59C2311yescharacteristic
100C23×C4×C59C2311yescharacteristic
101C23×C4×C59C2312yes—
102C2×C4⋊C4×C59—22no—
103C2×C4⋊C4×C59—22no—
104C2×C4⋊C4×C59C2×C414yescomplemented
105C2×C42×C59—22no—
106C2×C42×C59—24no—
107#95×C59—22no—
108#95×C59—24no—
109#95×C59—24no—
110C24×C59C2411yescharacteristic
111C23×D59—22no—
112C23×D59—22no—
113C23×D59—22no—
114C23×D59—22no—
115C23×D59C22×C412yes—
116C23×D59C2×D412yes—
117C23×D59C2×D412yes—
118C23×D59C2×Q814yes—
119C23×D59#4114yes—
120C22×C4×C59—22no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—22no—
125C22×C4×C59—22no—
126C22×C4×C59—22no—
127C22×C4×C59—21no—
128C22×C4×C59—21no—
129C22×C4×C59—21no—
130C22×C4×C59—21no—
131C22×C4×C59—22no—
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×C59—22no—
141C22×C4×C59C22×C412yes—
142C22×C4×C59C22×C412yes—
143C22×C4×C59C22×C412yes—
144C22×C4×C59C2×D412yes—
145C22×C4×C59C2×D412yes—
146C22×C4×C59C2×D414yes—
147C22×C4×C59C2×Q814yes—
148C22×C4×C59#4114yes—
149C22×Dic59—22no—
150C22×Dic59—22no—
151C22×Dic59—22no—
152C22×Dic59—22no—
153C22×Dic59—22no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
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×Dic59C22×C412yes—
169C22×Dic59C22×C412yes—
170C22×Dic59C22×C412yes—
171C22×Dic59C2×D414yes—
172C22×Dic59C2×D412yes—
173C22×Dic59C2×D412yes—
174C22×Dic59C2×D414yes—
175C22×Dic59C2×Q814yes—
176C22×Dic59#4114yes—
177C22×Dic59#4114yes—
178C2×C4×D59—216no—
179C2×C4×D59—216no—
180C2×C4×D59—216no—
181C2×C4×D59—216no—
182C2×C4×D59—216no—
183C2×C4×D59—216no—
184C2×C4×D59—216no—
185C2×C4×D59—28no—
186C2×C4×D59—216no—
187C2×C4×D59—216no—
188C2×C4×D59—28no—
189C2×C4×D59C22⋊C4116yes—
190C2×Dic118—28no—
191C2×Dic118—216no—
192C2×Dic118—44no—
193C2×Dic118—48no—
194C2×Dic118—44no—
195C4⋊C4×C59—28no—
196C42×C59—28no—
197(C2×D59)⋊C4—28no—
198(C2×D59)⋊C4—28no—
199(C2×D59)⋊C4—48no—
200Dic59⋊C4—28no—
201Dic59⋊C4—28no—
202Dic59⋊C4—48no—
203C4×Dic59—28no—
204C4×Dic59—216no—
205C23×C59C23×C411yescharacteristic
206C23×C59C22×D411yescharacteristic
207C23×C59C22×D411yescharacteristic
208C23×C59C22×D412yes—
209C23×C59C22×Q812yes—
210C23×C59C2×#4112yes—
211C23×C59C2×#4112yes—
212C23×C59C2×#4112yes—
213C23×C59C2×#4112yes—
214C22×D59—24no—
215C22×D59—22no—
216C22×D59—22no—
217C22×D59—22no—
218C22×D59—24no—
219C22×D59—24no—
220C22×D59—24no—
221C22×D59—22no—
222C22×D59—24no—
223C22×D59—24no—
224C22×D59—24no—
225C22×D59—24no—
226C22×D59—24no—
227C22×D59—24no—
228C22×D59—24no—
229C22×D59—24no—
230C22×D59C2×C22⋊C414yes—
231C22×D59C4×Q818yes—
232C22×D59C22⋊Q818yes—
233C22×D59#12414yes—
234C22×D59C4⋊Q814yes—
235C2×C4×C59—24no—
236C2×C4×C59—24no—
237C2×C4×C59—22no—
238C2×C4×C59—24no—
239C2×C4×C59—24no—
240C2×C4×C59—24no—
241C2×C4×C59—22no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—24no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—24no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—41no—
251C2×C4×C59—42no—
252C2×C4×C59—41no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59—42no—
257C2×C4×C59—42no—
258C2×C4×C59—42no—
259C2×C4×C59—42no—
260C2×C4×C59—42no—
261C2×C4×C59—42no—
262C2×C4×C59C2×C22⋊C414yes—
263C2×C4×C59C22⋊Q818yescomplemented
264C2×Dic59—24no—
265C2×Dic59—24no—
266C2×Dic59—24no—
267C2×Dic59—24no—
268C2×Dic59—24no—
269C2×Dic59—24no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—24no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—41no—
276C2×Dic59—42no—
277C2×Dic59—41no—
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×Dic59C2×C22⋊C414yes—
288C2×Dic59C4×D418yes—
289C2×Dic59#12014yes—
290C2×Dic59#12118yes—
291C2×Dic59C22⋊Q818yescomplemented
292C2×Dic59#12314yes—
293C4×D59—264no—
294C4×D59—232no—
295Dic118—416no—
296#14702—591nomaximal, Sylow
297C22×C59C22×C22⋊C411yescharacteristic
298C22×C59C2×C4×D412yes—
299C22×C59C2×C4×Q812yes—
300C22×C59C4×#4111yescharacteristic
301C22×C59C4×#4111yescharacteristic
302C22×C59C2×#12011yescharacteristic
303C22×C59C2×#12112yes—
304C22×C59C2×C22⋊Q812yes—
305C22×C59C2×C22⋊Q812yes—
306C22×C59C2×C22⋊Q812yes—
307C22×C59C2×#12311yescharacteristic
308C22×C59#52512yes—
309C22×C59#52512yes—
310C22×C59#52512yes—
311C22×C59C2×#12411yescharacteristic
312C22×C59#52912yes—
313C22×C59#52912yes—
314C22×C59C2×C4⋊Q811yescharacteristic
315C22×C59#53212yes—
316C22×C59#53312yes—
317C22×C59#53312yes—
318C2×D59—28no—
319C2×D59—28no—
320C2×D59—28no—
321C2×D59—28no—
322C2×D59—24no—
323C2×D59—24no—
324C2×D59—28no—
325C2×D59—28no—
326C2×D59#39118yescomplemented
327C4×C59—28no—
328C4×C59—24no—
329C4×C59—42no—
330C4×C59—42no—
331C4×C59—82no—
332Dic59—28no—
333Dic59—42no—
334Dic59—42no—
335Dic59—82no—
336Dic59#38618yes—
337C22×C22⋊Q8—591no—
338C23×C42—591no—
339C2×#391—592no—
340C2×#380—591no—
341#1436—591no—
342#1436—591no—
343#1436—591no—
344#1436D5911yescharacteristic, complemented
345C4⋊#95—592no—
346C22⋊#95—592no—
347C22⋊#95—592no—
348C2×C59C2×#38611yescharacteristic
349C2×C59C2×#39111yescharacteristic
350C2×C59#229711yescharacteristic
351C2×C59C4×C22⋊Q812yes—
352C2×C59C4×C22⋊Q812yes—
353C2×C59#284812yes—
354C2×C59#285012yes—
355C2×C59#285512yes—
356C2×C59#285712yes—
357D59—28no—
358C23×Q8—591no—
359C24×C4—591no—
360C24×C4—592no—
361C2×C22⋊Q8—598no—
362C2×C22⋊Q8—1184no—
363C2×C22⋊Q8—1184no—
364C22×C4⋊C4—591no—
365C22×C4⋊C4—591no—
366C22×C4⋊C4—592no—
367C22×C4⋊C4C2×D5911yescharacteristic
368C22×C22⋊C4—591no—
369C22×C22⋊C4—591no—
370C22×C22⋊C4—592no—
371C22×C42—592no—
372C22×C42—591no—
373C22×C42—1188no—
374C22×C42—1184no—
375C22×C42C2×D5911yescharacteristic
376#391—1188no—
377#380—1184no—
378C2×#95—592no—
379C2×#95—592no—
380C2×#95—592no—
381C2×#95—592no—
382C2×#95—592no—
383C2×#95—592no—
384C2×#95—591no—
385C2×#95C2×D5912yes—
386C2×#95C2×D5912yes—
387C2×#95C2×D5911yescharacteristic
388C59#1470211yescharacteristic, complemented, Sylow
389C25—591no—
390C22×Q8—594no—
391C22×Q8—1182no—
392C22×Q8—1182no—
393C22×Q8—1184no—
394C22×Q8—1184no—
395C23×C4—591no—
396C23×C4—592no—
397C23×C4—594no—
398C23×C4—594no—
399C23×C4—594no—
400C23×C4—591no—
401C23×C4—591no—
402C23×C4—598no—
403C23×C4—592no—
404C23×C4—1184no—
405C23×C4—1184no—
406C23×C4—1184no—
407C23×C4—1184no—
408C23×C4—1184no—
409C23×C4—1184no—
410C23×C4—1184no—
411C23×C4—1184no—
412C23×C4C22×D5912yes—
413C23×C4C22×D5911yescharacteristic
414C23×C4C22×D5911yescharacteristic
415C23×C4C22×D5911yescharacteristic
416C23×C4C22×D5912yes—
417C22⋊Q8—11832no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—594no—
421C2×C4⋊C4—594no—
422C2×C4⋊C4—1182no—
423C2×C4⋊C4—1182no—
424C2×C4⋊C4—1182no—
425C2×C4⋊C4—1182no—
426C2×C4⋊C4—1184no—
427C2×C4⋊C4—1184no—
428C2×C4⋊C4—1184no—
429C2×C4⋊C4C4×D5914yescomplemented
430C2×C22⋊C4—594no—
431C2×C22⋊C4—594no—
432C2×C22⋊C4—1182no—
433C2×C22⋊C4—1182no—
434C2×C22⋊C4—1182no—
435C2×C22⋊C4—1182no—
436C2×C22⋊C4—1184no—
437C2×C22⋊C4—1184no—
438C2×C22⋊C4—1184no—
439C2×C42—22no—
440C2×C42—24no—
441C2×C42—598no—
442C2×C42—11832no—
443C2×C42—1184no—
444C2×C42—1184no—
445C2×C42—1184no—
446C2×C42—1182no—
447#95—24no—
448#95—22no—
449#95—24no—
450#95—1184no—
451#95—1184no—
452#95—1184no—
453#95—1184no—
454#95—1184no—
455#95—1182no—
456#95—1184no—
457C24—592no—
458C24—592no—
459C24—592no—
460C24—594no—
461C24—594no—
462C24—1182no—
463C24—1182no—
464C24—1182no—
465C24—1182no—
466C24C23×D5911yescharacteristic
467C2×Q8—1188no—
468C2×Q8—11816no—
469C2×Q8—2368no—
470C2×Q8—2364no—
471C2×Q8—2364no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
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—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—592no—
494C22×C4—594no—
495C22×C4—592no—
496C22×C4—592no—
497C22×C4—594no—
498C22×C4—594no—
499C22×C4—594no—
500C22×C4—594no—
501C22×C4—5916no—
502C22×C4—592no—
503C22×C4—592no—
504C22×C4—1188no—
505C22×C4—11816no—
506C22×C4—11816no—
507C22×C4—1188no—
508C22×C4—11816no—
509C22×C4—11816no—
510C22×C4—11816no—
511C22×C4—11816no—
512C22×C4—11816no—
513C22×C4—11816no—
514C22×C4—1182no—
515C22×C4—1182no—
516C22×C4—1182no—
517C22×C4—1182no—
518C22×C4—11816no—
519C22×C4—1182no—
520C22×C4—1181no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4C2×C4×D5912yes—
535C22×C4C2×C4×D5912yes—
536C22×C4C2×C4×D5912yes—
537C22×C4#1174568514yes—
538C22×C4D4×D5912yes—
539C22×C4D4×D5912yes—
540C22×C4D4×D5914yes—
541C22×C4Q8×D5914yes—
542C4⋊C4—28no—
543C4⋊C4—1188no—
544C4⋊C4—1188no—
545C4⋊C4—2368no—
546C22⋊C4—1188no—
547C22⋊C4—1188no—
548C22⋊C4—2368no—
549C42—28no—
550C42—11816no—
551C42—1188no—
552C23—598no—
553C23—594no—
554C23—594no—
555C23—594no—
556C23—598no—
557C23—1184no—
558C23—1184no—
559C23—1184no—
560C23—1182no—
561C23—1184no—
562C23—1184no—
563C23—1184no—
564C23—1184no—
565C23—1184no—
566C23—1184no—
567C23—1184no—
568C23—1184no—
569C23—1184no—
570C23—1182no—
571C23—1182no—
572C23—1182no—
573C23C22×C4×D5911yescharacteristic
574C23C2×D4×D5911yescharacteristic
575C23C2×D4×D5912yes—
576C23C2×D4×D5911yescharacteristic
577C23C2×Q8×D5912yes—
578C23#41×D5912yes—
579C23#41×D5912yes—
580C23#41×D5912yes—
581C23C2×#1174568512yes—
582Q8—23616no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—42no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—598no—
611C2×C4—594no—
612C2×C4—594no—
613C2×C4—598no—
614C2×C4—594no—
615C2×C4—598no—
616C2×C4—11832no—
617C2×C4—11864no—
618C2×C4—1184no—
619C2×C4—1184no—
620C2×C4—1184no—
621C2×C4—1184no—
622C2×C4—1184no—
623C2×C4—1184no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—1184no—
627C2×C4—1182no—
628C2×C4—1182no—
629C2×C4—2362no—
630C2×C4—2362no—
631C2×C4—2362no—
632C2×C4—2362no—
633C2×C4—2362no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2361no—
638C2×C4—2362no—
639C2×C4—2362no—
640C2×C4—2361no—
641C2×C4C22⋊C4×D5914yes—
642C2×C4#1427370518yescomplemented
643C22—598no—
644C22—1188no—
645C22—1188no—
646C22—1184no—
647C22—1188no—
648C22—1188no—
649C22—1184no—
650C22—1188no—
651C22—1188no—
652C22C2×C22⋊C4×D5911yescharacteristic
653C22C4×D4×D5912yes—
654C22C4×Q8×D5912yes—
655C22#1683787011yescharacteristic
656C22C4×#1174568511yescharacteristic
657C22#120×D5911yescharacteristic
658C22#121×D5912yes—
659C22C22⋊Q8×D5912yes—
660C22C22⋊Q8×D5912yes—
661C22C2×#1427370512yes—
662C22#123×D5911yescharacteristic
663C22#1683791012yes—
664C22#1683791112yes—
665C22#1683791112yes—
666C22#124×D5911yescharacteristic
667C22#1683793012yes—
668C22#1683793512yes—
669C22C4⋊Q8×D5911yescharacteristic
670C22#1683794912yes—
671C22#1683795612yes—
672C22#1683795812yes—
673C4—28no—
674C4—24no—
675C4—42no—
676C4—42no—
677C4—82no—
678C4—598no—
679C4—1188no—
680C4—4722no—
681C4—2362no—
682C4—2362no—
683C2—1188no—
684C2#386×D5911yescharacteristic
685C2#391×D5911yescharacteristic
686C2#2142658211yescharacteristic
687C2C4×#1427370512yes—
688C2#2142663012yes—
689C2#2143238212yes—
690C2#2143239412yes—
691C2#2143243112yes—
692C2#2143244712yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC59×#1436C2
socle, cosocleC24×C59C24
prime radicalC24×D59C23
hypercenter#1436D59
hypocenterC59#14702
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ #1436

Complements

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

NH ≅ G/Ntype
3. C2×#16837306C2semidirect
5. #21422331C2semidirect
6. #21422329C2semidirect
7. #21422328C2semidirect
8. Dic59⋊#95C2semidirect
11. C59×#1436C2semidirect
17. C2×#14273705C4semidirect
47. C22×Dic118C2×C4semidirect
64. C22×C4×D59Q8semidirect
73. C2×Dic59⋊C4C2×C4semidirect
74. C2×Dic59⋊C4C2×C4semidirect
104. C2×C4⋊C4×C59C2×C4semidirect
263. C2×C4×C59C22⋊Q8semidirect
291. C2×Dic59C22⋊Q8semidirect
326. C2×D59#391semidirect
344. #1436D59semidirect
388. C59#14702semidirect
429. C2×C4⋊C4C4×D59semidirect
642. C2×C4#14273705semidirect

Maximal subgroups

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

subgroupindex
C22×#142737052
C22×C42×D592
C2×#168373062
C2×#168372612
#214223312
#214223292
#214223282
Dic59⋊#952
(C2×D59)⋊#952
C59×#14362
#1470259