Finite Group Databasebeta

← #28611510

Subgroups — #28611510

Order 15104.

1026 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837645C211yesmaximal, characteristic
2C2×#16837443C211yesmaximal, characteristic, complemented
3#21427119C211yesmaximal, characteristic, complemented
4#21427108C211yesmaximal, characteristic
5#21424952C211yesmaximal, characteristic, complemented
6#21424834C211yesmaximal, characteristic, complemented
7#21424733C211yesmaximal, characteristic, complemented
8#21424719C211yesmaximal, characteristic, complemented
9#21424415C211yesmaximal, characteristic
10#21424400C211yesmaximal, characteristic, complemented
11#21424357C211yesmaximal, characteristic, complemented
12#21424350C211yesmaximal, characteristic, complemented
13#107×Dic59C211yesmaximal, characteristic, complemented
14#21423881C211yesmaximal, characteristic, complemented
15C2×C59×#440C211yesmaximal, characteristic, complemented
16C22×#11745659C2211yescharacteristic
17C2×#14273703C2211yescharacteristic
18C2×#14273698C2211yescharacteristic
19C2×C4×C22⋊D59—21no—
20C2×#14273685C2211yescharacteristic
21C2×C4⋊C4×D59C2211yescharacteristic
22#16837645C418yescomplemented
23#16837443—24no—
24C2×#14273661C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273659C2211yescharacteristic
27C2×#14273658C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×(C2×D59)⋊C8C2211yescharacteristic
33C2×C8×Dic59C2211yescharacteristic
34#16837309C2211yescharacteristic
35#16837305C2211yescharacteristic
36#16837300C2211yescharacteristic
37#16837300C2211yescharacteristic
38#16837296—21no—
39#16837293—21no—
40#16837292—21no—
41#16837283—21no—
42#16837278—21no—
43#16837275—21no—
44C4⋊C4×Dic59C2211yescharacteristic
45C4⋊C4×Dic59C2211yescharacteristic
46C4×Dic59⋊C4—21no—
47C4×(C2×D59)⋊C4C2211yescharacteristic
48#16837165C2211yescharacteristic
49#16837165C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837157C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×SD16×C59C2211yescharacteristic
55C2×C4×Q8×C59C2211yescharacteristic
56C2×C4×D4×C59C2211yescharacteristic
57C59×#440—24no—
58C2×#107×C59C2211yescharacteristic
59C2×#103×C59C2211yescharacteristic
60C2×#102×C59C2211yescharacteristic
61C2×#97×C59C2211yescharacteristic
62C22×C22⋊D59—21no—
63C22×C4×D59—21no—
64C22×C4×D59C2311yescharacteristic
65C2×#11745659—22no—
66C2×#11745659—22no—
67C2×#11745659C2×C414yescomplemented
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70#14273703—22no—
71#14273703C2×C414yescomplemented
72#14273698—22no—
73#14273698C2×C414yes—
74C4×C22⋊D59—44no—
75#14273685—22no—
76#14273685—41no—
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×Dic59⋊C4—21no—
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C4⋊C4×D59—22no—
86C4⋊C4×D59—41no—
87C2×C22⋊Dic59—21no—
88C2×C22⋊Dic59—21no—
89C2×C22⋊Dic59—21no—
90C2×(C2×D59)⋊C4—21no—
91C2×(C2×D59)⋊C4—21no—
92C2×(C2×D59)⋊C4D411yescharacteristic
93C2×(C2×D59)⋊C4D411yescharacteristic
94C2×C4×Dic59—21no—
95C2×C4×Dic59—21no—
96C2×C4×Dic59—21no—
97C2×C4×Dic59C2311yescharacteristic
98#14273661C2×C414yescomplemented
99#14273660—22no—
100#14273659—22no—
101#14273658—22no—
102#14273651—41no—
103#14273651C2×C414yescomplemented
104#14273648—41no—
105#14273648C2×C414yescomplemented
106(C2×D59)⋊C8—22no—
107C8×Dic59—22no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95—21no—
113C59⋊#95—21no—
114C59⋊#95D411yescharacteristic
115C59⋊#95D411yescharacteristic
116C22×Q8×C59C2311yescharacteristic
117C22×D4×C59C2311yescharacteristic
118C23×C4×C59—21no—
119C2×SD16×C59—22no—
120C2×SD16×C59—22no—
121C2×SD16×C59C2×C414yescomplemented
122C22×C8×C59C2311yescharacteristic
123C22×C8×C59C2311yescharacteristic
124C4×Q8×C59—22no—
125C4×Q8×C59—41no—
126C4×D4×C59—22no—
127C4×D4×C59—41no—
128C2×C4⋊C4×C59—21no—
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C22⋊C4×C59—21no—
132C2×C42×C59—21no—
133C2×C42×C59C2311yescharacteristic
134#107×C59D414yescomplemented
135#103×C59—22no—
136#102×C59—22no—
137#97×C59—22no—
138C24×C59—21no—
139C23×D59C2×D411yescharacteristic
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59C22×C412yes—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59—21no—
151C2×D4×C59C22×C412yes—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—42no—
156C22×C4×C59—42no—
157C22×C4×C59—81no—
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2411yescharacteristic
161C2×C22⋊D59—24no—
162C2×C22⋊D59—42no—
163C2×C22⋊D59—42no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59C2×D411yescharacteristic
169C22×Dic59C2×D411yescharacteristic
170C22×Dic59C2×D411yescharacteristic
171C2×C4×D59—21no—
172C2×C4×D59—21no—
173C2×C4×D59—21no—
174C2×C4×D59—21no—
175C2×C4×D59—42no—
176C2×C4×D59—42no—
177C2×C4×D59—81no—
178C2×C4×D59C22×C412yes—
179C2×C4×D59#4112yes—
180SD16×C59—28no—
181C2×C8×C59—21no—
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59C22×C412yes—
185C2×C8×C59C2×D412yes—
186C2×C8×C59#4112yes—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—42no—
190C4⋊C4×C59C2×D412yes—
191C4⋊C4×C59C2×D412yes—
192C22⋊C4×C59—42no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59—42no—
196C22⋊Dic59—24no—
197C22⋊Dic59—42no—
198C22⋊Dic59—81no—
199(C2×D59)⋊C4—24no—
200(C2×D59)⋊C4—22no—
201(C2×D59)⋊C4—41no—
202(C2×D59)⋊C4—42no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59C22×C412yes—
210C4⋊Dic59C22×C412yes—
211Dic59⋊C4—24no—
212Dic59⋊C4—42no—
213Dic59⋊C4—42no—
214Dic59⋊C4—42no—
215C4×Dic59—21no—
216C4×Dic59—21no—
217C4×Dic59—42no—
218C4×Dic59—42no—
219C4×Dic59—42no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8C22×C412yes—
226#11745659—28no—
227C23×C59—22no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59C22×D411yescharacteristic
235C22×D59—21no—
236C22×D59—21no—
237C22×D59—21no—
238C22×D59—21no—
239C22×D59—21no—
240C22×D59—21no—
241C22×D59C4×D412yes—
242Q8×C59—22no—
243Q8×C59—22no—
244Q8×C59—41no—
245Q8×C59—41no—
246D4×C59—22no—
247D4×C59—22no—
248D4×C59—41no—
249D4×C59—41no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
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—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—84no—
266C2×C4×C59C23×C411yescharacteristic
267C2×C4×C59C22×D411yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59H(5,𝔽2)11yescharacteristic
271C2×C4×C592−1+411yescharacteristic
272C22⋊D59—48no—
273C2×Dic59—21no—
274C2×Dic59—21no—
275C2×Dic59—21no—
276C2×Dic59—21no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59C4×D412yes—
293C2×Dic59AGL(1,ℤ/8)12yes—
294C4×D59—22no—
295C4×D59—22no—
296C4×D59—22no—
297C4×D59—22no—
298C4×D59—84no—
299C8×C59—41no—
300C8×C59C4×D414yescomplemented
301C59⋊C8—22no—
302C59⋊C8—41no—
303#23040—591nomaximal, Sylow
304C22×C59—42no—
305C22×C59—42no—
306C22×C59—42no—
307C22×C59—81no—
308C22×C59—81no—
309C22×C59—81no—
310C22×C59—81no—
311C22×C59C2×C4×D411yescharacteristic
312C22×C59D4211yescharacteristic
313C22×C59#54711yescharacteristic
314C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C59#57511yescharacteristic
316C22×C59#57711yescharacteristic
317C22×C59#57811yescharacteristic
318C2×D59—22no—
319C2×D59—22no—
320C2×D59—22no—
321C2×D59—41no—
322C2×D59—41no—
323C2×D59—41no—
324C2×D59—41no—
325C4×C59—42no—
326C4×C59—42no—
327C4×C59—41no—
328C4×C59—42no—
329C4×C59—41no—
330C4×C59C2×C4×D411yescharacteristic
331C4×C59#52011yescharacteristic
332C4×C59#54811yescharacteristic
333C4×C59#55311yescharacteristic
334Dic59—22no—
335Dic59—22no—
336Dic59—41no—
337Dic59—42no—
338Dic59—42no—
339Dic59—81no—
340Dic59—81no—
341C2×#468—591no—
342C2×#440D5911yescharacteristic, complemented
343C2×#428—591no—
344#2362—591no—
345#2361—591no—
346#1968—591no—
347#1943—591no—
348#1927—591no—
349#1925—591no—
350#1875—591no—
351#1872—591no—
352#1864—591no—
353#1863—591no—
354C4×#107—591no—
355#1753—591no—
356C2×C59—82no—
357C2×C59#236111yescharacteristic
358C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
359C2×C59#294711yescharacteristic
360C2×C59#327211yescharacteristic
361C2×C59#327711yescharacteristic
362C2×C59#334311yescharacteristic
363C2×C59#335011yescharacteristic
364D59—42no—
365C22×SD16C2×D5911yescharacteristic
366C22×M16—591no—
367C2×C22⋊Q8—591no—
368C2×#121—591no—
369C2×C4×Q8C2×D5911yescharacteristic
370C2×C4×D4—1181no—
371C2×C4×D4C2×D5911yescharacteristic
372C2×#117—591no—
373C22×C4⋊C4—591no—
374#468—598no—
375#440—24no—
376#428—1184no—
377C2×#107—591no—
378C2×#107—591no—
379C2×#107C2×D5911yescharacteristic
380C2×#106—591no—
381C2×#106—591no—
382C2×#103—591no—
383C2×#103—591no—
384C2×#103C2×D5911yescharacteristic
385C2×#102—591no—
386C2×#102—591no—
387C2×#102C2×D5911yescharacteristic
388C2×C22⋊C8—591no—
389C2×#97C2×D5911yescharacteristic
390C2×C4×C8—591no—
391#391—591no—
392#390—591no—
393#389—591no—
394#389—591no—
395#388—1181no—
396#388—1181no—
397#388—1181no—
398#387—1181no—
399#386—1181no—
400#385—1181no—
401C4×C4⋊C4—591no—
402C4×C4⋊C4—591no—
403C4×C4⋊C4—1181no—
404C4×C22⋊C4—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408#340—591no—
409#336—591no—
410#336—591no—
411C59#2304011yescharacteristic, complemented, Sylow
412C22×Q8C22×D5911yescharacteristic
413C22×D4—1181no—
414C22×D4C22×D5911yescharacteristic
415C23×C4—21no—
416C23×C4—591no—
417C23×C4—1181no—
418C2×SD16—22no—
419C2×SD16—22no—
420C2×SD16C4×D5914yescomplemented
421C2×M16—594no—
422C2×M16—1182no—
423C2×M16—1182no—
424C22×C8—591no—
425C22×C8—591no—
426C22×C8C22×D5911yescharacteristic
427C22×C8C22×D5911yescharacteristic
428C22⋊Q8—594no—
429C22⋊Q8—1182no—
430#121—594no—
431#121—1182no—
432C4×Q8—22no—
433C4×Q8—41no—
434C4×D4—22no—
435C4×D4—41no—
436C4×D4—2364no—
437#117—1182no—
438#117—2361no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—591no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1182no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—2361no—
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—591no—
454C2×C22⋊C4—591no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4—1181no—
458C2×C22⋊C4—1181no—
459C2×C22⋊C4—1181no—
460C2×C42—21no—
461C2×C42—591no—
462C2×C42—1181no—
463C2×C42—1181no—
464C2×C42—1181no—
465C2×C42C22×D5911yescharacteristic
466#107—594no—
467#107—1182no—
468#107C22⋊D5914yescomplemented
469#106—1182no—
470#106—1182no—
471#103—22no—
472#103—594no—
473#103—2361no—
474#102—22no—
475#102—594no—
476#102—2361no—
477C22⋊C8—1182no—
478#97—22no—
479C4×C8—1182no—
480#95—591no—
481#95—591no—
482#95—1181no—
483#95—1181no—
484#95—1181no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488C24—21no—
489C24—591no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8C2×C4×D5912yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—1184no—
502C2×D4—2362no—
503C2×D4—2362no—
504C2×D4C2×C4×D5912yes—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—81no—
511C22×C4—591no—
512C22×C4—591no—
513C22×C4—592no—
514C22×C4—592no—
515C22×C4—591no—
516C22×C4—1181no—
517C22×C4—1181no—
518C22×C4—1181no—
519C22×C4—1181no—
520C22×C4—1181no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—4721no—
525C22×C4—2362no—
526C22×C4—2362no—
527C22×C4D4×D5911yescharacteristic
528C22×C4D4×D5911yescharacteristic
529C22×C4C23×D5911yescharacteristic
530SD16—28no—
531M16—1188no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—592no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8C2×C4×D5912yes—
542C2×C8#1174568512yes—
543C2×C8C2×C22⋊D5912yes—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—42no—
547C4⋊C4—592no—
548C4⋊C4—592no—
549C4⋊C4—1184no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—1181no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—1181no—
556C4⋊C4—2362no—
557C4⋊C4—2362no—
558C4⋊C4—2362no—
559C4⋊C4C2×C22⋊D5912yes—
560C4⋊C4C2×C22⋊D5912yes—
561C22⋊C4—42no—
562C22⋊C4—1182no—
563C22⋊C4—1184no—
564C22⋊C4—1184no—
565C22⋊C4—4721no—
566C22⋊C4—2361no—
567C22⋊C4—2362no—
568C22⋊C4—2362no—
569C42—21no—
570C42—21no—
571C42—42no—
572C42—1181no—
573C42—1181no—
574C42—2362no—
575C42—2362no—
576C42—2362no—
577C23—22no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—592no—
585C23—1181no—
586C23—1181no—
587C23—1181no—
588C23—1181no—
589C23—1181no—
590C23—1181no—
591C23C2×D4×D5911yescharacteristic
592Q8—22no—
593Q8—22no—
594Q8—41no—
595Q8—41no—
596D4—22no—
597D4—22no—
598D4—41no—
599D4—41no—
600D4—2368no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—84no—
617C2×C4—592no—
618C2×C4—592no—
619C2×C4—1181no—
620C2×C4—1181no—
621C2×C4—1181no—
622C2×C4—1181no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—1182no—
627C2×C4—1181no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—4724no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4C22×C4×D5911yescharacteristic
644C2×C4C22×C22⋊D5911yescharacteristic
645C2×C4#41×D5911yescharacteristic
646C2×C4C2×#1174568511yescharacteristic
647C2×C4#1427377211yescharacteristic
648C2×C4#1427377411yescharacteristic
649C8—41no—
650C8—1182no—
651C8—2361no—
652C8C4×C22⋊D5914yescomplemented
653C22—42no—
654C22—42no—
655C22—42no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—1182no—
661C22—1182no—
662C22—1182no—
663C22—2361no—
664C22—2361no—
665C22—2361no—
666C22—2361no—
667C22C4×D4×D5911yescharacteristic
668C22D4×C22⋊D5911yescharacteristic
669C22#1683805711yescharacteristic
670C22AGL(1,ℤ/8)×D5911yescharacteristic
671C22#1683820111yescharacteristic
672C22#1683821211yescharacteristic
673C22#1683821811yescharacteristic
674C4—41no—
675C4—42no—
676C4—42no—
677C4—41no—
678C4—42no—
679C4—1182no—
680C4—1182no—
681C4—4721no—
682C4—4721no—
683C4—2362no—
684C4—2362no—
685C4—2361no—
686C4C2×C4×C22⋊D5911yescharacteristic
687C4#1683788111yescharacteristic
688C4#1683805911yescharacteristic
689C4#1683810211yescharacteristic
690C2—82no—
691C2—2362no—
692C2#2142710811yescharacteristic
693C2#2143290111yescharacteristic
694C2#2143293611yescharacteristic
695C2#2143569011yescharacteristic
696C2#2143574711yescharacteristic
697C2#2143654111yescharacteristic
698C2#2143664611yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#440C2
socleC23×C59C22×D4
prime radicalC2×#14273698C22
cosocleC22×C4×C59C24
hypercenterC2×#440D59
hypocenterC59#23040
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
2. C2×#16837443C2semidirect
3. #21427119C2semidirect
5. #21424952C2semidirect
6. #21424834C2semidirect
7. #21424733C2semidirect
8. #21424719C2semidirect
10. #21424400C2semidirect
11. #21424357C2semidirect
12. #21424350C2semidirect
13. #107×Dic59C2semidirect
14. #21423881C2semidirect
15. C2×C59×#440C2semidirect
22. #16837645C4semidirect
67. C2×#11745659C2×C4semidirect
71. #14273703C2×C4semidirect
98. #14273661C2×C4semidirect
103. #14273651C2×C4semidirect
105. #14273648C2×C4semidirect
121. C2×SD16×C59C2×C4semidirect
134. #107×C59D4semidirect
300. C8×C59C4×D4semidirect
342. C2×#440D59semidirect
411. C59#23040semidirect
420. C2×SD16C4×D59semidirect
468. #107C22⋊D59semidirect
652. C8C4×C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376452
C2×#168374432
#214271192
#214271082
#214249522
#214248342
#214247332
#214247192
#214244152
#214244002
#214243572
#214243502
#107×Dic592
#214238812
C2×C59×#4402
#2304059