Finite Group Databasebeta

← #28605989

Subgroups — #28605989

Order 15104.

1010 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×#16837403C211yesmaximal, characteristic
2#21426963C211yesmaximal, characteristic, complemented
3#21424796C211yesmaximal, characteristic, complemented
4#21424782C211yesmaximal, characteristic, complemented
5#21424720C211yesmaximal, characteristic, complemented
6#21424713C211yesmaximal, characteristic, complemented
7#21424364C211yesmaximal, characteristic, complemented
8#21424350C211yesmaximal, characteristic, complemented
9#21424184C211yesmaximal, characteristic, complemented
10#21424127C211yesmaximal, characteristic, complemented
11#21424036C211yesmaximal, characteristic
12#21423926C211yesmaximal, characteristic, complemented
13C4×#14273651C211yesmaximal, characteristic, complemented
14#21423880C211yesmaximal, characteristic, complemented
15C59×#2341C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C2×#14273683—21no—
18C22×C4⋊Dic59C2211yescharacteristic
19C2×#14273660C2211yescharacteristic
20C2×#14273658C2211yescharacteristic
21#16837403C418yescomplemented
22C2×#14273651C2211yescharacteristic
23C2×#14273651C2211yescharacteristic
24C2×#14273651C2211yescharacteristic
25C2×#14273651C2211yescharacteristic
26C2×#14273648C2211yescharacteristic
27C2×#14273648C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×C22⋊(C59⋊C8)C2211yescharacteristic
31C2×#14273638C2211yescharacteristic
32C2×C4×C59⋊C8C2211yescharacteristic
33#16837300C2211yescharacteristic
34#16837300C2211yescharacteristic
35#16837287—21no—
36#16837287—21no—
37#16837263—21no—
38#16837262C2211yescharacteristic
39C4×C4⋊Dic59C2211yescharacteristic
40C4×C4⋊Dic59C2211yescharacteristic
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49C22×#41×C59C2211yescharacteristic
50C2×C4×Q8×C59C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C59×#390—21no—
53C59×#390—21no—
54C59×#390C2211yescharacteristic
55C59×#390C2211yescharacteristic
56C59×#380—21no—
57C59×#380C2211yescharacteristic
58C4×C22⋊C4×C59—21no—
59C4×C22⋊C4×C59C2211yescharacteristic
60C23×Dic59—21no—
61C2×#11745664—41no—
62C2×#11745664—41no—
63C2×#11745664C2×C414yes—
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68#14273683—44no—
69C2×C4⋊Dic59—21no—
70C2×C4⋊Dic59—22no—
71C2×C4⋊Dic59C2×C414yes—
72C2×C4⋊Dic59C2311yescharacteristic
73C2×C4⋊Dic59C2311yescharacteristic
74C2×C4⋊Dic59C2311yescharacteristic
75C2×C4⋊Dic59C2311yescharacteristic
76C2×Dic59⋊C4—21no—
77C2×Dic59⋊C4—21no—
78C2×C22⋊Dic59—21no—
79C2×C4×Dic59—21no—
80C2×C4×Dic59—21no—
81#14273660—41no—
82#14273658—41no—
83#14273651—22no—
84#14273651—22no—
85#14273651C2×C414yes—
86#14273651C2×C414yes—
87#14273648—41no—
88#14273648—41no—
89#14273648C2×C414yes—
90#14273648C2×C414yes—
91C22⋊(C59⋊C8)—22no—
92#14273638—41no—
93C4×C59⋊C8—41no—
94C59⋊#95—21no—
95C59⋊#95—21no—
96C59⋊#95—21no—
97C59⋊#95—21no—
98C59⋊#95—21no—
99C2×#41×C59—22no—
100C2×#41×C59—22no—
101C2×#41×C59—22no—
102C2×#41×C59—41no—
103C2×#41×C59—41no—
104C2×#41×C59C2×C414yes—
105C22×Q8×C59C2311yescharacteristic
106C22×D4×C59—21no—
107C22×D4×C59C2311yescharacteristic
108C23×C4×C59—21no—
109C23×C4×C59C2311yescharacteristic
110C4×Q8×C59—22no—
111C4×Q8×C59—22no—
112C4×Q8×C59—41no—
113C4×Q8×C59—41no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C22⋊C4×C59—21no—
119C2×C22⋊C4×C59—21no—
120C2×C22⋊C4×C59—21no—
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59D411yescharacteristic
124C2×C22⋊C4×C59D411yescharacteristic
125C2×C42×C59—21no—
126C2×C42×C59—21no—
127C2×C42×C59C2311yescharacteristic
128C2×C42×C59C2311yescharacteristic
129#95×C59—21no—
130#95×C59D411yescharacteristic
131#95×C59D411yescharacteristic
132C24×C59—21no—
133C24×C59C2×D411yescharacteristic
134#41×C59—28no—
135#41×C59—44no—
136#41×C59—44no—
137#41×C59—44no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59C22×C412yes—
142C2×Q8×C59#4112yes—
143C2×Q8×C59#4112yes—
144C2×D4×C59—24no—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59—42no—
151C2×D4×C59—42no—
152C2×D4×C59C22×C412yes—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—24no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—42no—
162C22×C4×C59—42no—
163C22×C4×C59C22×C412yes—
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2×D411yescharacteristic
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59#4112yes—
170C22×C4×C59C2411yescharacteristic
171C22×Dic59—24no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174C22×Dic59—21no—
175C22×Dic59—21no—
176C22×Dic59—42no—
177C22×Dic59—42no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—42no—
183C4⋊C4×C59—42no—
184C22⋊C4×C59—22no—
185C22⋊C4×C59—41no—
186C22⋊C4×C59—42no—
187C22⋊C4×C59—42no—
188C22⋊C4×C59—81no—
189C22⋊C4×C59—81no—
190C22⋊C4×C59—81no—
191C42×C59—21no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59—42no—
196C42×C59—42no—
197C22⋊Dic59—42no—
198C4⋊Dic59—24no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59C22×C412yes—
206C4⋊Dic59C22×C412yes—
207Dic59⋊C4—42no—
208Dic59⋊C4—42no—
209C4×Dic59—42no—
210C4×Dic59—42no—
211#11745664—44no—
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⋊C8—21no—
222C2×C59⋊C8C22×C412yes—
223C2×C59⋊C8C22×C412yes—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—22no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59C4×D412yes—
238C23×C59C22×D411yescharacteristic
239Q8×C59—22no—
240Q8×C59—22no—
241Q8×C59—22no—
242Q8×C59#11714yescomplemented
243D4×C59—22no—
244D4×C59—22no—
245D4×C59—48no—
246D4×C59—41no—
247D4×C59—41no—
248C2×C4×C59—22no—
249C2×C4×C59—21no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
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—21no—
267C2×C4×C59—21no—
268C2×C4×C59—48no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59C4×D412yes—
276C2×C4×C59AGL(1,ℤ/8)12yes—
277C2×C4×C59C23×C411yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59H(5,𝔽2)11yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×Dic59—22no—
284C2×Dic59—22no—
285C2×Dic59—48no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C59⋊C8—22no—
297C59⋊C8—22no—
298C59⋊C8—41no—
299C59⋊C8—41no—
300#22583—591nomaximal, Sylow
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—81no—
312C22×C59—81no—
313C22×C59—81no—
314C22×C59—81no—
315C22×C59C2×C4×D411yescharacteristic
316C22×C59#54611yescharacteristic
317C22×C59#54611yescharacteristic
318C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C59#57511yescharacteristic
320C22×C59#57711yescharacteristic
321C22×C59#57811yescharacteristic
322C4×C59—22no—
323C4×C59—24no—
324C4×C59—22no—
325C4×C59—41no—
326C4×C59—41no—
327C4×C59—41no—
328C4×C59—81no—
329C4×C59—81no—
330C4×C59C2×#11711yescharacteristic
331C4×C59#51811yescharacteristic
332C4×C59#55111yescharacteristic
333C4×C59#55111yescharacteristic
334Dic59—42no—
335Dic59—42no—
336Dic59—81no—
337Dic59—81no—
338C2×#417—591no—
339#2344—591no—
340#2341D5911yescharacteristic
341#1936—591no—
342#1934—591no—
343#1926—591no—
344#1925—591no—
345#1865—591no—
346#1863—591no—
347#1824—591no—
348#1809—591no—
349#1788—591no—
350#1763—591no—
351C4×#103—591no—
352#1753—591no—
353C2×C59—42no—
354C2×C59—82no—
355C2×C59#234211yescharacteristic
356C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C59#294711yescharacteristic
358C2×C59#330811yescharacteristic
359C2×C59#331711yescharacteristic
360C2×C59#332711yescharacteristic
361C2×C59#333211yescharacteristic
362C22×#41C2×D5911yescharacteristic
363C22×M16—591no—
364C2×C4×Q8C2×D5911yescharacteristic
365C2×C4×Q8C2×D5911yescharacteristic
366C2×#117—1181no—
367C22×C4⋊C4—591no—
368C2×#107—591no—
369C2×#106—591no—
370#417—598no—
371C2×#103—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#102—591no—
376C2×#102—591no—
377C2×#102—591no—
378C2×#102—591no—
379C2×C22⋊C8—591no—
380C2×#97—591no—
381C2×C4×C8—591no—
382#390—21no—
383#390—21no—
384#390C2×D5911yescharacteristic
385#390C2×D5911yescharacteristic
386#389—591no—
387#389—591no—
388#387—1181no—
389#387—1181no—
390#381—1181no—
391#380—21no—
392#380—591no—
393#380C2×D5911yescharacteristic
394C4×C4⋊C4—591no—
395C4×C4⋊C4—591no—
396C4×C22⋊C4—21no—
397C4×C22⋊C4C2×D5911yescharacteristic
398#340—591no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404#336—591no—
405#336—591no—
406C59#2258311yescharacteristic, complemented, Sylow
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—41no—
411C2×#41—41no—
412C2×#41C4×D5914yes—
413C22×Q8C22×D5911yescharacteristic
414C22×D4—21no—
415C22×D4C22×D5911yescharacteristic
416C23×C4—21no—
417C23×C4—1181no—
418C23×C4C22×D5911yescharacteristic
419C2×M16—594no—
420C2×M16—2361no—
421C2×M16—2361no—
422C22×C8—591no—
423C22×C8—591no—
424C22×C8—591no—
425C22×C8—591no—
426C4×Q8—22no—
427C4×Q8—22no—
428C4×Q8—41no—
429C4×Q8—41no—
430#117—2364no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—594no—
434C2×C4⋊C4—591no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—1182no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4C22⋊D5911yescharacteristic
451C2×C22⋊C4C22⋊D5911yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42—1181no—
455C2×C42—1181no—
456C2×C42C22×D5911yescharacteristic
457C2×C42C22×D5911yescharacteristic
458#107—2361no—
459#106—2361no—
460#103—594no—
461#103—594no—
462#103—1182no—
463#103—1182no—
464#102—594no—
465#102—594no—
466#102—2361no—
467#102—2361no—
468C22⋊C8—1182no—
469#97—2361no—
470C4×C8—2361no—
471#95—21no—
472#95—1181no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95C22⋊D5911yescharacteristic
478#95C22⋊D5911yescharacteristic
479C24—21no—
480C24C2×C22⋊D5911yescharacteristic
481#41—28no—
482#41—44no—
483#41—44no—
484#41—44no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8C2×C4×D5912yes—
489C2×Q8#1174568712yes—
490C2×Q8#1174568712yes—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4C2×C4×D5912yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—24no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—1184no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—2362no—
516C22×C4—2362no—
517C22×C4C2×C4×D5912yes—
518C22×C4#1174568512yes—
519C22×C4C2×C22⋊D5911yescharacteristic
520C22×C4C2×C22⋊D5911yescharacteristic
521C22×C4C2×C22⋊D5911yescharacteristic
522C22×C4C2×C22⋊D5911yescharacteristic
523C22×C4C2×C22⋊D5911yescharacteristic
524C22×C4C23×D5911yescharacteristic
525M16—2364no—
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—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—592no—
545C4⋊C4—592no—
546C4⋊C4—1184no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—1181no—
553C4⋊C4—2362no—
554C4⋊C4—2362no—
555C22⋊C4—22no—
556C22⋊C4—41no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—81no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—2362no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—42no—
568C42—42no—
569C42—2362no—
570C42—2362no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23C4×C22⋊D5912yes—
585C23C22×C22⋊D5911yescharacteristic
586Q8—22no—
587Q8—22no—
588Q8—22no—
589Q8#1427368314yescomplemented
590D4—22no—
591D4—22no—
592D4—48no—
593D4—41no—
594D4—41no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—21no—
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—48no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2368no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4C4×C22⋊D5912yes—
636C2×C4#1427375212yes—
637C2×C4C22×C4×D5911yescharacteristic
638C2×C4C2×#1174568711yescharacteristic
639C2×C4C2×#1174568711yescharacteristic
640C2×C4C2×#1174568511yescharacteristic
641C2×C4#1427377211yescharacteristic
642C2×C4#1427377211yescharacteristic
643C8—1182no—
644C8—1182no—
645C8—2361no—
646C8—2361no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×C4×C22⋊D5911yescharacteristic
662C22#1683804611yescharacteristic
663C22#1683804611yescharacteristic
664C22C2×#1427375211yescharacteristic
665C22#1683820011yescharacteristic
666C22#1683821311yescharacteristic
667C22#1683821711yescharacteristic
668C4—22no—
669C4—22no—
670C4—24no—
671C4—41no—
672C4—41no—
673C4—41no—
674C4—81no—
675C4—81no—
676C4—4721no—
677C4—4721no—
678C4—2362no—
679C4—2362no—
680C4C2×#1427368311yescharacteristic
681C4#1683787511yescharacteristic
682C4#1683807811yescharacteristic
683C4#1683807811yescharacteristic
684C2—42no—
685C2—82no—
686C2#2142694111yescharacteristic
687C2C4×#1427375211yescharacteristic
688C2#2143293511yescharacteristic
689C2#2143608711yescharacteristic
690C2#2143622211yescharacteristic
691C2#2143636411yescharacteristic
692C2#2143642311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2341C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
cosocleC22×C4×C59C24
hypercenter#2341D59
hypocenterC59#22583
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. #21426963C2semidirect
3. #21424796C2semidirect
4. #21424782C2semidirect
5. #21424720C2semidirect
6. #21424713C2semidirect
7. #21424364C2semidirect
8. #21424350C2semidirect
9. #21424184C2semidirect
10. #21424127C2semidirect
12. #21423926C2semidirect
13. C4×#14273651C2semidirect
14. #21423880C2semidirect
21. #16837403C4semidirect
242. Q8×C59#117semidirect
406. C59#22583semidirect
589. Q8#14273683semidirect

Maximal subgroups

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

subgroupindex
C2×#168374032
#214269632
#214247962
#214247822
#214247202
#214247132
#214243642
#214243502
#214241842
#214241272
#214240362
#214239262
C4×#142736512
#214238802
C59×#23412
#2258359