Finite Group Databasebeta

← #28556478

Subgroups — #28556478

Order 15104.

1014 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21433137C211yesmaximal, characteristic, complemented
2#21427036C211yesmaximal, characteristic, complemented
3#21422673C212yesmaximal, complemented
4#21422639C212yesmaximal, complemented
5#21422629C211yesmaximal, characteristic, complemented
6#21422625C211yesmaximal, characteristic, complemented
7#21422616C211yesmaximal, characteristic, complemented
8#21422612C211yesmaximal, characteristic, complemented
9#21422600C212yesmaximal, complemented
10#21422582C212yesmaximal, complemented
11C59×#3505C211yesmaximal, characteristic
12#16837480—22no—
13#16837480—22no—
14#16837455C2212yescomplemented
15#16837366C2211yescharacteristic
16#16837366C2211yescharacteristic
17#16837366C2212yescomplemented
18#16837295—21no—
19#16837288—21no—
20#16837282—21no—
21#16837270C2211yescharacteristic, complemented
22#16837265C2211yescharacteristic
23#16837262C2211yescharacteristic, complemented
24C22⋊C4×Dic59—21no—
25C4×C22⋊Dic59C2211yescharacteristic
26#16837248C2211yescharacteristic, complemented
27C2×C59⋊#95C2211yescharacteristic, complemented
28#16837139C2212yescomplemented
29#16837139C2212yescomplemented
30#16837139C2212yescomplemented
31#16837139C2212yescomplemented
32#16837136C2212yes—
33#16837136C2212yes—
34#16837136C2212yes—
35#16837136C2212yes—
36C59×#553—22no—
37C59×#553C412yescomplemented
38C59×#552C412yescomplemented
39C59×#551—22no—
40C59×#548C412yescomplemented
41C59×#546C412yescomplemented
42C59×#539—21no—
43C59×#538—21no—
44C59×#534—21no—
45C59×#529C2212yes—
46C59×#525C2212yes—
47C2×C22⋊Q8×C59C2211yescharacteristic
48C2×#121×C59C2211yescharacteristic
49C59×#518—21no—
50C2×C4×D4×C59C2211yescharacteristic
51C23×Dic59—21no—
52C2×#11745664—21no—
53C2×#11745664—21no—
54C2×#11745664—22no—
55C2×C4⋊Dic59—21no—
56C2×C22⋊Dic59—21no—
57C2×C22⋊Dic59—21no—
58C2×C22⋊Dic59—21no—
59C2×C4×Dic59—21no—
60C2×C4×Dic59—21no—
61C4⋊(C59⋊C8)—22no—
62C22⋊(C59⋊C8)—21no—
63C22⋊(C59⋊C8)—21no—
64C22⋊(C59⋊C8)—22no—
65C22⋊(C59⋊C8)C2312yes—
66C22⋊(C59⋊C8)C2312yes—
67C4×C59⋊C8—22no—
68C59⋊#95—21no—
69C59⋊#95—21no—
70C59⋊#95—21no—
71C59⋊#95—21no—
72C59⋊#95—21no—
73C59⋊#95C2311yescharacteristic
74C59⋊#95C2311yescharacteristic
75C59⋊#95C2311yescharacteristic
76C59⋊#95C2311yescharacteristic
77C2×#41×C59C2×C412yes—
78C22×Q8×C59C2×C411yescharacteristic, complemented
79C22×D4×C59—21no—
80C22×D4×C59C2×C411yescharacteristic, complemented
81C22×D4×C59D411yescharacteristic
82C23×C4×C59C2311yescharacteristic
83C23×C4×C59C2311yescharacteristic
84#126×C59—22no—
85#126×C59—22no—
86#126×C59—22no—
87#125×C59—22no—
88#125×C59C2×C412yescomplemented
89#124×C59—22no—
90#124×C59C2×C412yescomplemented
91#123×C59—22no—
92#123×C59—22no—
93#123×C59—22no—
94#123×C59—22no—
95#123×C59—22no—
96C22⋊Q8×C59—21no—
97C22⋊Q8×C59—21no—
98C22⋊Q8×C59—22no—
99C22⋊Q8×C59C2×C412yes—
100C22⋊Q8×C59C2×C412yescomplemented
101C22⋊Q8×C59C2312yes—
102#121×C59—22no—
103#121×C59—22no—
104#121×C59—21no—
105#121×C59—21no—
106#121×C59—22no—
107#121×C59C2×C412yes—
108#121×C59C2×C412yescomplemented
109#121×C59C2312yes—
110#120×C59—22no—
111#120×C59—22no—
112C4×Q8×C59C2×C412yescomplemented
113C4×D4×C59—22no—
114C4×D4×C59—22no—
115C4×D4×C59—22no—
116C4×D4×C59—22no—
117C4×D4×C59—22no—
118C4×D4×C59C2×C412yes—
119C4×D4×C59C2×C412yes—
120C4×D4×C59C2×C412yescomplemented
121C4×D4×C59D412yes—
122C4×D4×C59D412yes—
123#117×C59—22no—
124#117×C59—22no—
125#117×C59C2×C412yes—
126C2×C4⋊C4×C59—21no—
127C2×C4⋊C4×C59C2×C411yescharacteristic, complemented
128C2×C4⋊C4×C59C2×C411yescharacteristic, complemented
129C2×C4⋊C4×C59D411yescharacteristic
130C2×C22⋊C4×C59—21no—
131C2×C22⋊C4×C59—21no—
132C2×C22⋊C4×C59—22no—
133C2×C22⋊C4×C59D411yescharacteristic
134C2×C22⋊C4×C59D411yescharacteristic
135C2×C42×C59C2311yescharacteristic
136C24×C59—21no—
137C24×C59C2×D411yescharacteristic
138C24×C59C2×D411yescharacteristic
139#41×C59—82no—
140C2×Q8×C59—21no—
141C2×Q8×C59—81no—
142C2×Q8×C59C22×C412yes—
143C2×D4×C59—22no—
144C2×D4×C59—22no—
145C2×D4×C59—22no—
146C2×D4×C59—22no—
147C2×D4×C59—21no—
148C2×D4×C59—41no—
149C2×D4×C59—41no—
150C2×D4×C59—42no—
151C2×D4×C59—42no—
152C2×D4×C59—81no—
153C2×D4×C59C22⋊C412yes—
154C2×D4×C59C22⋊C412yes—
155C2×D4×C59C22×C412yes—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—22no—
160C22×C4×C59—22no—
161C22×C4×C59—81no—
162C22×C4×C59—81no—
163C22×C4×C59C22×C411yescharacteristic
164C22×C4×C59C22×C411yescharacteristic
165C22×C4×C59C22×C412yes—
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×D411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59C2×D412yes—
173C22×C4×C59C2411yescharacteristic
174C22×Dic59—21no—
175C22×Dic59—21no—
176C22×Dic59—21no—
177C22×Dic59—21no—
178C22×Dic59—42no—
179C22×Dic59—42no—
180C22×Dic59—81no—
181C4⋊C4×C59—22no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—22no—
185C4⋊C4×C59—22no—
186C4⋊C4×C59—22no—
187C4⋊C4×C59—22no—
188C4⋊C4×C59—22no—
189C4⋊C4×C59C22⋊C412yes—
190C4⋊C4×C59C22⋊C412yes—
191C4⋊C4×C59C22×C412yes—
192C4⋊C4×C59C22×C412yes—
193C22⋊C4×C59—22no—
194C22⋊C4×C59—22no—
195C22⋊C4×C59—22no—
196C22⋊C4×C59—22no—
197C22⋊C4×C59—22no—
198C22⋊C4×C59—22no—
199C22⋊C4×C59—22no—
200C22⋊C4×C59—22no—
201C22⋊C4×C59—22no—
202C22⋊C4×C59—22no—
203C22⋊C4×C59C22⋊C412yes—
204C22⋊C4×C59C22⋊C412yes—
205C22⋊C4×C59C22⋊C412yes—
206C22⋊C4×C59C22⋊C412yes—
207C42×C59—22no—
208C42×C59—22no—
209C42×C59C22×C412yes—
210C42×C59C2×D412yes—
211C22⋊Dic59—42no—
212C22⋊Dic59—42no—
213C22⋊Dic59—81no—
214C4⋊Dic59—81no—
215C4×Dic59—42no—
216C4×Dic59—81no—
217#11745664—81no—
218#11745664—81no—
219#11745664—82no—
220C2×C59⋊C8—22no—
221C2×C59⋊C8—22no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—22no—
227C23×C59—41no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—42no—
232C23×C59—81no—
233C23×C59—81no—
234C23×C59C2×C22⋊C411yescharacteristic
235C23×C59C2×C22⋊C412yes—
236C23×C59C2×C22⋊C411yescharacteristic
237C23×C59C22×D411yescharacteristic
238Q8×C59—42no—
239Q8×C59—81no—
240D4×C59—42no—
241D4×C59—42no—
242D4×C59—42no—
243D4×C59—44no—
244D4×C59—42no—
245D4×C59—42no—
246D4×C59—81no—
247D4×C59—82no—
248D4×C59—82no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—42no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—42no—
264C2×C4×C59—42no—
265C2×C4×C59—82no—
266C2×C4×C59—82no—
267C2×C4×C59—81no—
268C2×C4×C59—81no—
269C2×C4×C59C2×C22⋊C412yes—
270C2×C4×C59C2×C22⋊C412yes—
271C2×C4×C59C2×C22⋊C412yes—
272C2×C4×C59C2×C22⋊C411yescharacteristic
273C2×C4×C59C2×C22⋊C411yescharacteristic
274C2×C4×C59C23×C411yescharacteristic
275C2×C4×C59C22×D411yescharacteristic
276C2×Dic59—22no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—84no—
289C59⋊C8—42no—
290C59⋊C8—42no—
291#17623—591nomaximal, Sylow
292C22×C59—21no—
293C22×C59—21no—
294C22×C59—21no—
295C22×C59—22no—
296C22×C59—21no—
297C22×C59—21no—
298C22×C59—21no—
299C22×C59—22no—
300C22×C59—21no—
301C22×C59—22no—
302C22×C59—21no—
303C22×C59—42no—
304C22×C59—42no—
305C22×C59—42no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—81no—
309C22×C59—81no—
310C22×C59—162no—
311C22×C59C22×C22⋊C411yescharacteristic
312C22×C59#57511yescharacteristic
313C22×C59#57511yescharacteristic
314C4×C59—21no—
315C4×C59—21no—
316C4×C59—22no—
317C4×C59—21no—
318C4×C59—21no—
319C4×C59—22no—
320C4×C59—22no—
321C4×C59—42no—
322C4×C59—42no—
323C4×C59—42no—
324Dic59—42no—
325Dic59—81no—
326Dic59—81no—
327Dic59—81no—
328#3505D5911yescharacteristic
329#2975—591no—
330#2353—591no—
331#1521—592no—
332#1513—592no—
333#1511—591no—
334#1510—591no—
335#1508—591no—
336#1507—591no—
337#1504—592no—
338#1500—592no—
339C2×C59—21no—
340C2×C59—21no—
341C2×C59—42no—
342C2×C59—41no—
343C2×C59—41no—
344C2×C59—82no—
345C2×C59#288311yescharacteristic
346C2×C59#289611yescharacteristic
347C2×C59#290111yescharacteristic
348#553—22no—
349#553Dic5912yescomplemented
350#552Dic5912yescomplemented
351#551—22no—
352#548Dic5912yescomplemented
353#546Dic5912yescomplemented
354#539—21no—
355#538—21no—
356#534—21no—
357#529C2×D5912yes—
358#525C2×D5912yes—
359C2×C22⋊Q8C2×D5911yescharacteristic
360C2×#121C2×D5911yescharacteristic
361#518—21no—
362C2×C4×D4C2×D5911yescharacteristic
363#436—1182no—
364#436—1182no—
365#431—592no—
366#407—592no—
367#407—591no—
368#407—591no—
369#388—1181no—
370#387—1181no—
371#386—1181no—
372#383—591no—
373#381—591no—
374#380—591no—
375C4×C22⋊C4—591no—
376C4×C22⋊C4—1181no—
377#376—591no—
378C2×#95—591no—
379#328—592no—
380#328—592no—
381#328—592no—
382#328—592no—
383#327—592no—
384#327—592no—
385#327—592no—
386#327—592no—
387C59#1762311yescharacteristic, complemented, Sylow
388C2×#41C2×Dic5912yes—
389C22×Q8C2×Dic5911yescharacteristic, complemented
390C22×D4—21no—
391C22×D4C2×Dic5911yescharacteristic, complemented
392C22×D4C22⋊D5911yescharacteristic
393C23×C4—1181no—
394C23×C4C22×D5911yescharacteristic
395C23×C4C22×D5911yescharacteristic
396C2×M16—1181no—
397C2×M16—1181no—
398C2×M16—1182no—
399#126—22no—
400#126—22no—
401#126—22no—
402#125—22no—
403#125C2×Dic5912yescomplemented
404#124—22no—
405#124C2×Dic5912yescomplemented
406#123—22no—
407#123—22no—
408#123—22no—
409#123—22no—
410#123—22no—
411C22⋊Q8—21no—
412C22⋊Q8—21no—
413C22⋊Q8—22no—
414C22⋊Q8C2×Dic5912yes—
415C22⋊Q8C2×Dic5912yescomplemented
416C22⋊Q8C22×D5912yes—
417#121—22no—
418#121—22no—
419#121—21no—
420#121—21no—
421#121—22no—
422#121C2×Dic5912yes—
423#121C2×Dic5912yescomplemented
424#121C22×D5912yes—
425#120—22no—
426#120—22no—
427C4×Q8C2×Dic5912yescomplemented
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4C2×Dic5912yes—
434C4×D4C2×Dic5912yes—
435C4×D4C2×Dic5912yescomplemented
436C4×D4C22⋊D5912yes—
437C4×D4C22⋊D5912yes—
438#117—22no—
439#117—22no—
440#117C2×Dic5912yes—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4C2×Dic5911yescharacteristic, complemented
444C2×C4⋊C4C2×Dic5911yescharacteristic, complemented
445C2×C4⋊C4C22⋊D5911yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—22no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4C22⋊D5911yescharacteristic
453C2×C22⋊C4C22⋊D5911yescharacteristic
454C2×C42—1181no—
455C2×C42—1181no—
456C2×C42C22×D5911yescharacteristic
457C4⋊C8—1182no—
458C22⋊C8—592no—
459C22⋊C8—592no—
460C22⋊C8—1181no—
461C22⋊C8—1181no—
462C22⋊C8—1182no—
463C4×C8—1182no—
464#95—591no—
465#95—591no—
466#95—591no—
467#95—591no—
468#95—1181no—
469#95—1181no—
470#95—1181no—
471#95—1181no—
472#95—1181no—
473C24—21no—
474C24C2×C22⋊D5911yescharacteristic
475C24C2×C22⋊D5911yescharacteristic
476#41—82no—
477C2×Q8—21no—
478C2×Q8—81no—
479C2×Q8C22×Dic5912yes—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—21no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—81no—
490C2×D4C22⋊Dic5912yes—
491C2×D4C22⋊Dic5912yes—
492C2×D4C22×Dic5912yes—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—81no—
499C22×C4—81no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4—1181no—
503C22×C4—1181no—
504C22×C4—4721no—
505C22×C4—2362no—
506C22×C4—2362no—
507C22×C4C22×Dic5911yescharacteristic
508C22×C4C22×Dic5911yescharacteristic
509C22×C4C22×Dic5912yes—
510C22×C4C2×C22⋊D5911yescharacteristic
511C22×C4C2×C22⋊D5911yescharacteristic
512C22×C4C2×C22⋊D5911yescharacteristic
513C22×C4C2×C22⋊D5911yescharacteristic
514C22×C4C2×C22⋊D5911yescharacteristic
515C22×C4C2×C22⋊D5911yescharacteristic
516C22×C4C2×C22⋊D5912yes—
517C22×C4C23×D5911yescharacteristic
518M16—4722no—
519M16—4721no—
520M16—4721no—
521C2×C8—1182no—
522C2×C8—1182no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—4721no—
532C4⋊C4C22⋊Dic5912yes—
533C4⋊C4C22⋊Dic5912yes—
534C4⋊C4C22×Dic5912yes—
535C4⋊C4C22×Dic5912yes—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—4721no—
547C22⋊C4—2362no—
548C22⋊C4—2362no—
549C22⋊C4C22⋊Dic5912yes—
550C22⋊C4C22⋊Dic5912yes—
551C22⋊C4C22⋊Dic5912yes—
552C22⋊C4C22⋊Dic5912yes—
553C42—22no—
554C42—22no—
555C42—4721no—
556C42—2362no—
557C42C22×Dic5912yes—
558C42C2×C22⋊D5912yes—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—22no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—42no—
569C23—81no—
570C23—81no—
571C23C2×C22⋊Dic5911yescharacteristic
572C23C2×C22⋊Dic5912yes—
573C23C2×C22⋊Dic5911yescharacteristic
574C23C22×C22⋊D5911yescharacteristic
575Q8—42no—
576Q8—81no—
577D4—42no—
578D4—42no—
579D4—42no—
580D4—44no—
581D4—42no—
582D4—42no—
583D4—81no—
584D4—82no—
585D4—82no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—82no—
603C2×C4—82no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—1182no—
607C2×C4—4724no—
608C2×C4—2361no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4—2361no—
614C2×C4—2361no—
615C2×C4—2361no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4C2×C22⋊Dic5912yes—
620C2×C4C2×C22⋊Dic5912yes—
621C2×C4C2×C22⋊Dic5912yes—
622C2×C4C2×C22⋊Dic5911yescharacteristic
623C2×C4C2×C22⋊Dic5911yescharacteristic
624C2×C4C23×Dic5911yescharacteristic
625C2×C4C22×C22⋊D5911yescharacteristic
626C8—2362no—
627C8—2362no—
628C22—21no—
629C22—21no—
630C22—21no—
631C22—21no—
632C22—22no—
633C22—21no—
634C22—22no—
635C22—21no—
636C22—21no—
637C22—22no—
638C22—21no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—42no—
644C22—81no—
645C22—81no—
646C22—162no—
647C22C22×C22⋊Dic5911yescharacteristic
648C22#1683820011yescharacteristic
649C22#1683820011yescharacteristic
650C4—22no—
651C4—22no—
652C4—21no—
653C4—21no—
654C4—22no—
655C4—21no—
656C4—21no—
657C4—42no—
658C4—42no—
659C4—42no—
660C4—4721no—
661C4—4721no—
662C4—4721no—
663C4—2362no—
664C2—21no—
665C2—21no—
666C2—42no—
667C2—41no—
668C2—41no—
669C2—82no—
670C2#2143255711yescharacteristic
671C2#2143261511yescharacteristic
672C2#2143264311yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
Fitting, prime radicalC59×#3505C2
socleC22×C59C22×C22⋊C4
cosocleC22×C4×C59C24
hypercenter#3505D59
hypocenterC59#17623
LCSG ▷ C2×C4×C59 ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #21433137C2semidirect
2. #21427036C2semidirect
3. #21422673C2semidirect
4. #21422639C2semidirect
5. #21422629C2semidirect
6. #21422625C2semidirect
7. #21422616C2semidirect
8. #21422612C2semidirect
9. #21422600C2semidirect
10. #21422582C2semidirect
14. #16837455C22semidirect
17. #16837366C22semidirect
21. #16837270C22semidirect
23. #16837262C22semidirect
26. #16837248C22semidirect
27. C2×C59⋊#95C22semidirect
28. #16837139C22semidirect
29. #16837139C22semidirect
30. #16837139C22semidirect
31. #16837139C22semidirect
37. C59×#553C4semidirect
38. C59×#552C4semidirect
40. C59×#548C4semidirect
41. C59×#546C4semidirect
78. C22×Q8×C59C2×C4semidirect
80. C22×D4×C59C2×C4semidirect
88. #125×C59C2×C4semidirect
90. #124×C59C2×C4semidirect
100. C22⋊Q8×C59C2×C4semidirect
108. #121×C59C2×C4semidirect
112. C4×Q8×C59C2×C4semidirect
120. C4×D4×C59C2×C4semidirect
127. C2×C4⋊C4×C59C2×C4semidirect
128. C2×C4⋊C4×C59C2×C4semidirect
349. #553Dic59semidirect
350. #552Dic59semidirect
352. #548Dic59semidirect
353. #546Dic59semidirect
387. C59#17623semidirect
389. C22×Q8C2×Dic59semidirect
391. C22×D4C2×Dic59semidirect
403. #125C2×Dic59semidirect
405. #124C2×Dic59semidirect
415. C22⋊Q8C2×Dic59semidirect
423. #121C2×Dic59semidirect
427. C4×Q8C2×Dic59semidirect
435. C4×D4C2×Dic59semidirect
443. C2×C4⋊C4C2×Dic59semidirect
444. C2×C4⋊C4C2×Dic59semidirect

Maximal subgroups

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

subgroupindex
#214331372
#214270362
#214226732
#214226392
#214226292
#214226252
#214226162
#214226122
#214226002
#214225822
C59×#35052
#1762359