Finite Group Databasebeta

← #28618279

Subgroups — #28618279

Order 15104.

958 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
1C2×#16837500C211yesmaximal, characteristic, complemented
2C2×#16837459C211yesmaximal, characteristic, complemented
3C4×#14273701C211yesmaximal, characteristic
4#21425592C211yesmaximal, characteristic, complemented
5#21425522C211yesmaximal, characteristic, complemented
6#21425491C211yesmaximal, characteristic, complemented
7#21425467C211yesmaximal, characteristic, complemented
8#21425411C211yesmaximal, characteristic, complemented
9#21425289C211yesmaximal, characteristic, complemented
10#21425278C211yesmaximal, characteristic
11#21425097C211yesmaximal, characteristic
12#21423994C211yesmaximal, characteristic, complemented
13#21423926C211yesmaximal, characteristic, complemented
14#21423924C211yesmaximal, characteristic, complemented
15C4×C22⋊Q8×C59C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C2×#14273701C2211yescharacteristic
18C2×C4×D236C2211yescharacteristic
19C2×C4×C22⋊D59—21no—
20#16837500—24no—
21#16837459—24no—
22C2×#14273660C2211yescharacteristic
23C2×#14273660C2211yescharacteristic
24C2×#14273658C2211yescharacteristic
25C2×C4⋊(C59⋊C8)C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×#14273638C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37#16837304C2211yescharacteristic
38#16837300C2211yescharacteristic
39#16837293—21no—
40#16837281—21no—
41#16837262C2211yescharacteristic
42C4×C4⋊Dic59C2211yescharacteristic
43C4×(C2×D59)⋊C4—21no—
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C22×C42×C59C2211yescharacteristic
53C59×#391C2211yescharacteristic
54C59×#389C2211yescharacteristic
55C59×#387—21no—
56C59×#385—21no—
57C59×#380C2211yescharacteristic
58C4×C4⋊C4×C59—21no—
59C4×C4⋊C4×C59C2211yescharacteristic
60C4×C22⋊C4×C59—21no—
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C22×C4×D59—21no—
64C2×#11745671—22no—
65C2×#11745671—22no—
66C2×#11745671—22no—
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71#14273701—22no—
72#14273701—22no—
73C4×D236—22no—
74C4×D236—22no—
75C4×C22⋊D59—44no—
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×Dic59⋊C4—21no—
80C2×C22⋊Dic59—21no—
81C2×(C2×D59)⋊C4—21no—
82C2×(C2×D59)⋊C4—21no—
83C2×(C2×D59)⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×C4×Dic59—21no—
86#14273660—22no—
87#14273660—22no—
88#14273658—22no—
89C4⋊(C59⋊C8)—22no—
90C4⋊(C59⋊C8)—22no—
91#14273651—22no—
92#14273651—22no—
93#14273651—22no—
94#14273647—22no—
95#14273647—22no—
96#14273647—22no—
97C22⋊(C59⋊C8)—22no—
98C22⋊(C59⋊C8)—22no—
99#14273638—22no—
100#14273638D414yescomplemented
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C22×Q8×C59C2311yescharacteristic
105C23×C4×C59D411yescharacteristic
106C23×C4×C59D411yescharacteristic
107C23×C4×C59C2311yescharacteristic
108C22⋊Q8×C59—22no—
109C22⋊Q8×C59—22no—
110C4×Q8×C59—22no—
111C4×Q8×C59—22no—
112C2×C4⋊C4×C59—21no—
113C2×C4⋊C4×C59—21no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59C2311yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C22⋊C4×C59—21no—
119C2×C22⋊C4×C59—21no—
120C2×C42×C59—22no—
121C2×C42×C59—22no—
122C2×C42×C59—21no—
123C2×C42×C59—21no—
124C2×C42×C59D411yescharacteristic
125C2×C42×C59D411yescharacteristic
126C2×C42×C59C2311yescharacteristic
127C2×C42×C59C2311yescharacteristic
128#95×C59—21no—
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132#95×C59—21no—
133C24×C59C2×D411yescharacteristic
134C23×D59—21no—
135C2×Q8×C59—21no—
136C2×Q8×C59—21no—
137C2×Q8×C59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59#4112yes—
141C22×C4×C59—22no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—22no—
145C22×C4×C59—22no—
146C22×C4×C59—22no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—41no—
156C22×C4×C59—41no—
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2411yescharacteristic
163C2×C22⋊D59—24no—
164C2×C22⋊D59—42no—
165C2×C22⋊D59—42no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C2×D236—21no—
170C2×D236—21no—
171C2×D236—21no—
172C2×D236—21no—
173C2×D236—21no—
174C2×D236#4112yes—
175C2×C4×D59—42no—
176C2×C4×D59—42no—
177C2×C4×D59—42no—
178C4⋊C4×C59—24no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—42no—
185C4⋊C4×C59—42no—
186C4⋊C4×C59#4112yes—
187C22⋊C4×C59—24no—
188C22⋊C4×C59—42no—
189C42×C59—22no—
190C42×C59—22no—
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—42no—
194C42×C59—42no—
195C42×C59C2×D412yes—
196C42×C59#4112yes—
197C22⋊Dic59—42no—
198#11745671—28no—
199(C2×D59)⋊C4—24no—
200(C2×D59)⋊C4—42no—
201(C2×D59)⋊C4—42no—
202(C2×D59)⋊C4—42no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59#4112yes—
209Dic59⋊C4—42no—
210C4×Dic59—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⋊C8C2×D412yes—
222C2×C59⋊C8C2×D412yes—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59AGL(1,ℤ/8)12yes—
230C23×C59C22×D411yescharacteristic
231C22×D59—22no—
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238Q8×C59—22no—
239Q8×C59—22no—
240Q8×C59—41no—
241Q8×C59—41no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
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—21no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—44no—
257C2×C4×C59—44no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
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—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59#12112yes—
273C2×C4×C59#12112yes—
274C2×C4×C59#13712yes—
275C2×C4×C59C22×D411yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59C2×#4111yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C22⋊D59—48no—
282C2×Dic59—22no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291D236—22no—
292D236—22no—
293D236—41no—
294D236—41no—
295C4×D59—84no—
296C59⋊C8—22no—
297C59⋊C8—22no—
298C59⋊C8—41no—
299C59⋊C8—41no—
300#23710—591nomaximal, Sylow
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59C2×#12111yescharacteristic
309C22×C59#52511yescharacteristic
310C22×C59#52511yescharacteristic
311C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C59C2×#13711yescharacteristic
313C22×C59#57511yescharacteristic
314C22×C59#57511yescharacteristic
315C2×D59—42no—
316C2×D59—42no—
317C2×D59—42no—
318C2×D59—81no—
319C2×D59—81no—
320C2×D59—81no—
321C2×D59—81no—
322C4×C59—22no—
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—42no—
326C4×C59—41no—
327C4×C59—42no—
328C4×C59—41no—
329C4×C59—81no—
330C4×C59—81no—
331C4×C59#52511yescharacteristic
332C4×C59#52911yescharacteristic
333C4×C59#52911yescharacteristic
334C4×C59#53211yescharacteristic
335Dic59—42no—
336Dic59—81no—
337Dic59—81no—
338C2×#440—591no—
339C2×#432—591no—
340C4×C22⋊Q8D5911yescharacteristic, complemented
341C4×#121—591no—
342#2087—591no—
343#2075—591no—
344#2068—591no—
345#2065—591no—
346#2055—591no—
347#2035—591no—
348#2033—591no—
349#2000—591no—
350#1776—591no—
351#1763—591no—
352#1762—591no—
353C2×C59—42no—
354C2×C59#239211yescharacteristic
355C2×C59#305511yescharacteristic
356C2×C59#305611yescharacteristic
357C2×C59#311111yescharacteristic
358C2×C59#311211yescharacteristic
359C2×C59#311411yescharacteristic
360C2×C59#311611yescharacteristic
361D59—82no—
362C22×SD16—591no—
363C2×C22⋊Q8C2×D5911yescharacteristic
364C2×#121—591no—
365C2×C4×Q8C2×D5911yescharacteristic
366C2×C4×D4—591no—
367C2×C4×D4—1181no—
368C22×C42C2×D5911yescharacteristic
369#440—1184no—
370#432—1184no—
371C2×#107—591no—
372C2×#107—591no—
373C2×#106—591no—
374C2×C4⋊C8—591no—
375C2×C4⋊C8—591no—
376C2×#103—591no—
377C2×#103—591no—
378C2×#103—591no—
379C2×#102—591no—
380C2×#102—591no—
381C2×#102—591no—
382C2×C22⋊C8—591no—
383C2×C22⋊C8—591no—
384C2×#97—591no—
385C2×#97—591no—
386#391C2×D5911yescharacteristic
387#390—591no—
388#389—591no—
389#389C2×D5911yescharacteristic
390#388—1181no—
391#387—21no—
392#386—1181no—
393#385—21no—
394#380—591no—
395#380C2×D5911yescharacteristic
396C4×C4⋊C4—21no—
397C4×C4⋊C4—591no—
398C4×C4⋊C4C2×D5911yescharacteristic
399C4×C22⋊C4—21no—
400C4×C22⋊C4—1181no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#340—591no—
406#340—591no—
407C59#2371011yescharacteristic, complemented, Sylow
408C22×Q8C22×D5911yescharacteristic
409C22×D4—591no—
410C22×D4—1181no—
411C23×C4—1181no—
412C23×C4C22⋊D5911yescharacteristic
413C23×C4C22⋊D5911yescharacteristic
414C23×C4C22×D5911yescharacteristic
415C2×SD16—1182no—
416C2×SD16—1182no—
417C2×SD16—1182no—
418C22×C8—591no—
419C22×C8—591no—
420C22×C8—591no—
421C22×C8—591no—
422C22⋊Q8—22no—
423C22⋊Q8—22no—
424#121—1182no—
425#121—1182no—
426C4×Q8—22no—
427C4×Q8—22no—
428C4×D4—1182no—
429C4×D4—1182no—
430C4×D4—2364no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—591no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4C22×D5911yescharacteristic
439C2×C4⋊C4C22×D5911yescharacteristic
440C2×C4⋊C4C22×D5911yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—1181no—
444C2×C22⋊C4—1181no—
445C2×C22⋊C4—1181no—
446C2×C22⋊C4—1181no—
447C2×C22⋊C4—1181no—
448C2×C42—22no—
449C2×C42—22no—
450C2×C42—21no—
451C2×C42—21no—
452C2×C42—1181no—
453C2×C42C22⋊D5911yescharacteristic
454C2×C42C22⋊D5911yescharacteristic
455C2×C42C22×D5911yescharacteristic
456C2×C42C22×D5911yescharacteristic
457#107—1182no—
458#107—1182no—
459#106—1182no—
460C4⋊C8—1182no—
461C4⋊C8—1182no—
462#103—1182no—
463#103—1182no—
464#103—1182no—
465#102—1182no—
466#102—1182no—
467#102—1182no—
468C22⋊C8—1182no—
469C22⋊C8—1182no—
470#97—594no—
471#97—1182no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—1181no—
478#95—1181no—
479#95—1181no—
480C24—1181no—
481C24C2×C22⋊D5911yescharacteristic
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8#1174568512yes—
488C2×D4—592no—
489C2×D4—1184no—
490C2×D4—1181no—
491C2×D4—1181no—
492C2×D4—1181no—
493C2×D4—1181no—
494C2×D4—1181no—
495C2×D4—2362no—
496C2×D4—2362no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4—2362no—
517C22×C4—2362no—
518C22×C4—2362no—
519C22×C4C2×C22⋊D5911yescharacteristic
520C22×C4C2×C22⋊D5911yescharacteristic
521C22×C4C2×C22⋊D5911yescharacteristic
522C22×C4C2×C22⋊D5911yescharacteristic
523C22×C4C2×C22⋊D5911yescharacteristic
524C22×C4C23×D5911yescharacteristic
525SD16—1188no—
526C2×C8—592no—
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—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—592no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—2362no—
553C4⋊C4#1174568512yes—
554C22⋊C4—24no—
555C22⋊C4—42no—
556C22⋊C4—1184no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C22⋊C4—2362no—
560C22⋊C4—2362no—
561C42—22no—
562C42—22no—
563C42—21no—
564C42—21no—
565C42—42no—
566C42—42no—
567C42—2362no—
568C42D4×D5912yes—
569C42#1174568712yes—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—1182no—
577C23—2361no—
578C23—2361no—
579C23—2361no—
580C23—2361no—
581C23—2361no—
582C23—2361no—
583C23#1427375212yes—
584C23C22×C22⋊D5911yescharacteristic
585Q8—22no—
586Q8—22no—
587Q8—41no—
588Q8—41no—
589D4—1182no—
590D4—1182no—
591D4—2368no—
592D4—2361no—
593D4—2361no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—1182no—
625C2×C4—4724no—
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#1427369912yes—
635C2×C4#1427369912yes—
636C2×C4#1427375812yes—
637C2×C4C2×D4×D5911yescharacteristic
638C2×C4#41×D5911yescharacteristic
639C2×C4#41×D5911yescharacteristic
640C2×C4C2×#1174568711yescharacteristic
641C2×C4C2×#1174568511yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C8—1182no—
644C8—1182no—
645C8—2361no—
646C8—2361no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—4721no—
655C22—4721no—
656C22—4721no—
657C22—4721no—
658C22—2362no—
659C22—2362no—
660C22—2362no—
661C22C2×#1427369911yescharacteristic
662C22#1683790911yescharacteristic
663C22#1683791311yescharacteristic
664C22C2×#1427375211yescharacteristic
665C22C2×#1427375811yescharacteristic
666C22#1683820011yescharacteristic
667C22#1683820011yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4—42no—
675C4—81no—
676C4—81no—
677C4—4721no—
678C4—4721no—
679C4—2362no—
680C4#1683791111yescharacteristic
681C4#1683793211yescharacteristic
682C4#1683793411yescharacteristic
683C4#1683794911yescharacteristic
684C2—42no—
685C2—4722no—
686C2#2142733811yescharacteristic
687C2#2143371711yescharacteristic
688C2#2143372211yescharacteristic
689C2#2143420511yescharacteristic
690C2#2143421811yescharacteristic
691C2#2143423011yescharacteristic
692C2#2143425211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC4×C22⋊Q8×C59C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
hypercenterC4×C22⋊Q8D59
hypocenterC59#23710
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#16837500C2semidirect
2. C2×#16837459C2semidirect
4. #21425592C2semidirect
5. #21425522C2semidirect
6. #21425491C2semidirect
7. #21425467C2semidirect
8. #21425411C2semidirect
9. #21425289C2semidirect
12. #21423994C2semidirect
13. #21423926C2semidirect
14. #21423924C2semidirect
15. C4×C22⋊Q8×C59C2semidirect
100. #14273638D4semidirect
340. C4×C22⋊Q8D59semidirect
407. C59#23710semidirect

Maximal subgroups

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

subgroupindex
C2×#168375002
C2×#168374592
C4×#142737012
#214255922
#214255222
#214254912
#214254672
#214254112
#214252892
#214252782
#214250972
#214239942
#214239262
#214239242
C4×C22⋊Q8×C592
#2371059