Finite Group Databasebeta

← #28611516

Subgroups — #28611516

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×#16837648C211yesmaximal, characteristic
2C2×#16837501C211yesmaximal, characteristic, complemented
3#21427123C211yesmaximal, characteristic, complemented
4#21427112C211yesmaximal, characteristic
5#21424948C211yesmaximal, characteristic, complemented
6#21424832C211yesmaximal, characteristic, complemented
7#21424729C211yesmaximal, characteristic, complemented
8#21424715C211yesmaximal, characteristic, complemented
9#21424418C211yesmaximal, characteristic
10#21424403C211yesmaximal, characteristic, complemented
11#21424354C211yesmaximal, characteristic, complemented
12#21424347C211yesmaximal, characteristic, complemented
13#107×Dic59C211yesmaximal, characteristic, complemented
14#21423877C211yesmaximal, characteristic, complemented
15C2×C59×#428C211yesmaximal, characteristic, complemented
16C22×#11745660C2211yescharacteristic
17C2×#14273706C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×#14273692C2211yescharacteristic
20C2×#14273689C2211yescharacteristic
21C2×C4×C22⋊D59—21no—
22#16837648C418yescomplemented
23#16837501—24no—
24C2×#14273661C2211yescharacteristic
25C2×#14273652C2211yescharacteristic
26C2×#14273650C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273649C2211yescharacteristic
29C2×#14273647C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×#14273637C2211yescharacteristic
33C2×C8×Dic59C2211yescharacteristic
34#16837307C2211yescharacteristic
35#16837303C2211yescharacteristic
36#16837298C2211yescharacteristic
37#16837298C2211yescharacteristic
38#16837296—21no—
39#16837292—21no—
40#16837290—21no—
41#16837286—21no—
42#16837281—21no—
43#16837273—21no—
44C4⋊C4×Dic59C2211yescharacteristic
45C4⋊C4×Dic59C2211yescharacteristic
46C4×Dic59⋊C4—21no—
47C4×C22⋊Dic59C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837156C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×M16×C59C2211yescharacteristic
55C2×#117×C59C2211yescharacteristic
56C22×C4⋊C4×C59C2211yescharacteristic
57C59×#428—24no—
58C2×#107×C59C2211yescharacteristic
59C2×#107×C59C2211yescharacteristic
60C2×#106×C59C2211yescharacteristic
61C2×#106×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C22⋊D59—21no—
65C22×C4×D59—21no—
66C2×#11745660—22no—
67C2×#11745660—22no—
68C2×#11745660C2×C414yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71#14273706—22no—
72#14273706C2×C414yescomplemented
73#14273701—22no—
74#14273701C2×C414yes—
75#14273692—22no—
76#14273692—41no—
77#14273689—22no—
78#14273689—41no—
79C4×C22⋊D59—44no—
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×C22⋊Dic59—21no—
87C2×C22⋊Dic59D411yescharacteristic
88C2×C22⋊Dic59D411yescharacteristic
89C2×(C2×D59)⋊C4—21no—
90C2×(C2×D59)⋊C4—21no—
91C2×(C2×D59)⋊C4—21no—
92C2×(C2×D59)⋊C4—21no—
93C2×C4×Dic59—21no—
94C2×C4×Dic59—21no—
95C2×C4×Dic59—21no—
96C2×C4×Dic59C2311yescharacteristic
97C2×C4×Dic59C2311yescharacteristic
98#14273661C2×C414yescomplemented
99#14273652C2×C414yescomplemented
100#14273650—22no—
101#14273650—41no—
102#14273649C2×C414yescomplemented
103#14273647—22no—
104#14273647—41no—
105C22⋊(C59⋊C8)—22no—
106#14273637—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
116C23×C4×C59—21no—
117C23×C4×C59C2311yescharacteristic
118C2×M16×C59—22no—
119C2×M16×C59—22no—
120C2×M16×C59C2×C414yescomplemented
121C22×C8×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123#117×C59—22no—
124#117×C59—41no—
125C2×C4⋊C4×C59—22no—
126C2×C4⋊C4×C59—21no—
127C2×C4⋊C4×C59—41no—
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C4⋊C4×C59C2311yescharacteristic
132C2×C22⋊C4×C59—21no—
133C2×C42×C59—21no—
134#107×C59—22no—
135#107×C59D414yescomplemented
136#106×C59—22no—
137#106×C59—22no—
138C24×C59C2×D411yescharacteristic
139C23×D59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—42no—
149C22×C4×C59—42no—
150C22×C4×C59—81no—
151C22×C4×C59C22×C412yes—
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59#4112yes—
154C22×C4×C59C2411yescharacteristic
155C2×C22⋊D59—24no—
156C2×C22⋊D59—42no—
157C2×C22⋊D59—42no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—21no—
161C22×Dic59C2×D411yescharacteristic
162C22×Dic59C2×D411yescharacteristic
163C22×Dic59C2×D411yescharacteristic
164C22×Dic59C2×D411yescharacteristic
165C2×D236—21no—
166C2×D236—21no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236C22×C412yes—
171C2×C4×D59—42no—
172C2×C4×D59—42no—
173C2×C4×D59—81no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118C22×C412yes—
180M16×C59—28no—
181C2×C8×C59—21no—
182C2×C8×C59—21no—
183C2×C8×C59C22×C412yes—
184C2×C8×C59C22×C412yes—
185C2×C8×C59C2×D412yes—
186C2×C8×C59#4112yes—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—42no—
194C4⋊C4×C59C2×D412yes—
195C4⋊C4×C59C2×D412yes—
196C22⋊C4×C59—42no—
197C42×C59—42no—
198C22⋊Dic59—24no—
199C22⋊Dic59—22no—
200C22⋊Dic59—41no—
201(C2×D59)⋊C4—24no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—42no—
204(C2×D59)⋊C4—81no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59C22×C412yes—
208C4⋊Dic59C22×C412yes—
209Dic59⋊C4—24no—
210Dic59⋊C4—42no—
211Dic59⋊C4—42no—
212Dic59⋊C4—42no—
213C4×Dic59—21no—
214C4×Dic59—21no—
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⋊C8—21no—
226#11745660—28no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59C4×D412yes—
234C23×C59C22×D411yescharacteristic
235C22×D59—22no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—84no—
261C2×C4×C59C4×D412yes—
262C2×C4×C59C23×C411yescharacteristic
263C2×C4×C59C22×D411yescharacteristic
264C2×C4×C59C2×#4111yescharacteristic
265C2×C4×C59C2×#4111yescharacteristic
266C2×C4×C59H(5,𝔽2)11yescharacteristic
267C2×C4×C592−1+411yescharacteristic
268C22⋊D59—48no—
269C2×Dic59—21no—
270C2×Dic59—21no—
271C2×Dic59—22no—
272C2×Dic59—22no—
273C2×Dic59—22no—
274C2×Dic59—21no—
275C2×Dic59—21no—
276C2×Dic59—21no—
277C2×Dic59—21no—
278C2×Dic59—21no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—21no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59AGL(1,ℤ/8)12yes—
290D236—22no—
291D236—22no—
292D236—41no—
293D236—41no—
294C4×D59—84no—
295Dic118—22no—
296Dic118—22no—
297Dic118—41no—
298Dic118—41no—
299C8×C59—22no—
300C8×C59C4×D414yescomplemented
301C59⋊C8—41no—
302C59⋊C8—41no—
303#23040—591nomaximal, Sylow
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
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—42no—
319C2×D59—42no—
320C2×D59—42no—
321C2×D59—81no—
322C2×D59—81no—
323C2×D59—81no—
324C2×D59—81no—
325C4×C59—22no—
326C4×C59—42no—
327C4×C59—42no—
328C4×C59—81no—
329C4×C59—81no—
330C4×C59C2×C4×D411yescharacteristic
331C4×C59#52011yescharacteristic
332C4×C59#54811yescharacteristic
333C4×C59#55311yescharacteristic
334Dic59—22no—
335Dic59—41no—
336Dic59—42no—
337Dic59—42no—
338Dic59—42no—
339Dic59—41no—
340Dic59—41no—
341C2×#468—591no—
342C2×#440—591no—
343C2×#428D5911yescharacteristic, complemented
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—42no—
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—82no—
365C22×SD16—591no—
366C22×M16C2×D5911yescharacteristic
367C2×C22⋊Q8—591no—
368C2×#121—591no—
369C2×C4×Q8—591no—
370C2×C4×D4—591no—
371C2×C4×D4—1181no—
372C2×#117C2×D5911yescharacteristic
373C22×C4⋊C4C2×D5911yescharacteristic
374#468—598no—
375#440—1184no—
376#428—24no—
377C2×#107—591no—
378C2×#107C2×D5911yescharacteristic
379C2×#107C2×D5911yescharacteristic
380C2×#106C2×D5911yescharacteristic
381C2×#106C2×D5911yescharacteristic
382C2×#103—591no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×C22⋊C8—591no—
389C2×#97—591no—
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×Q8—591no—
413C22×D4—591no—
414C22×D4—1181no—
415C23×C4—21no—
416C23×C4—1181no—
417C23×C4C22×D5911yescharacteristic
418C2×SD16—594no—
419C2×SD16—1182no—
420C2×SD16—1182no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16C4×D5914yescomplemented
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—1182no—
433C4×Q8—2361no—
434C4×D4—1182no—
435C4×D4—2361no—
436C4×D4—2364no—
437#117—22no—
438#117—41no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—41no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
463C2×C42—1181no—
464C2×C42—1181no—
465C2×C42—1181no—
466#107—22no—
467#107—594no—
468#107C22⋊D5914yescomplemented
469#106—22no—
470#106—22no—
471#103—594no—
472#103—1182no—
473#103—2361no—
474#102—594no—
475#102—1182no—
476#102—2361no—
477C22⋊C8—1182no—
478#97—1182no—
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—1181no—
489C24D4×D5911yescharacteristic
490C2×Q8—592no—
491C2×Q8—1181no—
492C2×Q8—1181no—
493C2×Q8—1181no—
494C2×Q8—1181no—
495C2×Q8—1181no—
496C2×D4—592no—
497C2×D4—1184no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—1181no—
501C2×D4—1181no—
502C2×D4—1181no—
503C2×D4—2362no—
504C2×D4—2362no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—81no—
516C22×C4—591no—
517C22×C4—591no—
518C22×C4—591no—
519C22×C4—591no—
520C22×C4—1181no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—4721no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4C2×C4×D5912yes—
527C22×C4D4×D5911yescharacteristic
528C22×C4#1174568912yes—
529C22×C4C23×D5911yescharacteristic
530SD16—1188no—
531M16—28no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8C2×C4×D5912yes—
541C2×C8C2×C4×D5912yes—
542C2×C8#1174568512yes—
543C2×C8C2×C22⋊D5912yes—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—42no—
551C4⋊C4—592no—
552C4⋊C4—592no—
553C4⋊C4—1184no—
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—2362no—
567C22⋊C4—2362no—
568C22⋊C4—2361no—
569C42—42no—
570C42—1181no—
571C42—1181no—
572C42—1181no—
573C42—1181no—
574C42—2362no—
575C42—2362no—
576C42—2362no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—1182no—
584C23—2361no—
585C23—2361no—
586C23—2361no—
587C23—2361no—
588C23—2361no—
589C23—2361no—
590C23#1427368912yes—
591C23C2×D4×D5911yescharacteristic
592Q8—1182no—
593Q8—1182no—
594Q8—2361no—
595Q8—2361no—
596D4—1182no—
597D4—1182no—
598D4—2368no—
599D4—2361no—
600D4—2361no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—41no—
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—84no—
620C2×C4—592no—
621C2×C4—1181no—
622C2×C4—1181no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—1181no—
626C2×C4—1181no—
627C2×C4—1181no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1181no—
631C2×C4—1181no—
632C2×C4—1182no—
633C2×C4—1182no—
634C2×C4—1182no—
635C2×C4—4724no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4#1427368912yes—
643C2×C4C22×C4×D5911yescharacteristic
644C2×C4C22×C22⋊D5911yescharacteristic
645C2×C4C2×#1174568511yescharacteristic
646C2×C4C2×#1174568911yescharacteristic
647C2×C4#1427377211yescharacteristic
648C2×C4#1427377511yescharacteristic
649C8—22no—
650C8—2361no—
651C8—2361no—
652C8C4×C22⋊D5914yescomplemented
653C22—22no—
654C22—22no—
655C22—22no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—41no—
660C22—4721no—
661C22—4721no—
662C22—4721no—
663C22—4721no—
664C22—2362no—
665C22—2362no—
666C22—2362no—
667C22C2×#1427368911yescharacteristic
668C22D4×C22⋊D5911yescharacteristic
669C22#1683805311yescharacteristic
670C22AGL(1,ℤ/8)×D5911yescharacteristic
671C22#1683820111yescharacteristic
672C22#1683821211yescharacteristic
673C22#1683821811yescharacteristic
674C4—22no—
675C4—42no—
676C4—42no—
677C4—81no—
678C4—81no—
679C4—1182no—
680C4—2361no—
681C4—2362no—
682C4—2362no—
683C4—2361no—
684C4—2362no—
685C4—2361no—
686C4C2×C4×C22⋊D5911yescharacteristic
687C4#1683788311yescharacteristic
688C4#1683806311yescharacteristic
689C4#1683810011yescharacteristic
690C2—42no—
691C2—4722no—
692C2#2142711211yescharacteristic
693C2#2143290311yescharacteristic
694C2#2143293711yescharacteristic
695C2#2143569011yescharacteristic
696C2#2143574711yescharacteristic
697C2#2143653711yescharacteristic
698C2#2143664211yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#428C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenterC2×#428D59
hypocenterC59#23040
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#16837501C2semidirect
3. #21427123C2semidirect
5. #21424948C2semidirect
6. #21424832C2semidirect
7. #21424729C2semidirect
8. #21424715C2semidirect
10. #21424403C2semidirect
11. #21424354C2semidirect
12. #21424347C2semidirect
13. #107×Dic59C2semidirect
14. #21423877C2semidirect
15. C2×C59×#428C2semidirect
22. #16837648C4semidirect
68. C2×#11745660C2×C4semidirect
72. #14273706C2×C4semidirect
98. #14273661C2×C4semidirect
99. #14273652C2×C4semidirect
102. #14273649C2×C4semidirect
120. C2×M16×C59C2×C4semidirect
135. #107×C59D4semidirect
300. C8×C59C4×D4semidirect
343. C2×#428D59semidirect
411. C59#23040semidirect
423. C2×M16C4×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×#168376482
C2×#168375012
#214271232
#214271122
#214249482
#214248322
#214247292
#214247152
#214244182
#214244032
#214243542
#214243472
#107×Dic592
#214238772
C2×C59×#4282
#2304059