Finite Group Databasebeta

← #28606921

Subgroups — #28606921

Order 15104.

1022 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837477C211yesmaximal, characteristic
2C2×#16837443C211yesmaximal, characteristic, complemented
3C2×#16837442C211yesmaximal, characteristic, complemented
4#21427040C211yesmaximal, characteristic
5C4⋊C4×C22⋊D59C211yesmaximal, characteristic
6#21424858C211yesmaximal, characteristic, complemented
7#21424851C211yesmaximal, characteristic, complemented
8#21424297C211yesmaximal, characteristic, complemented
9#21424292C211yesmaximal, characteristic, complemented
10#21424285C211yesmaximal, characteristic, complemented
11#21424254C211yesmaximal, characteristic, complemented
12#21424128C211yesmaximal, characteristic, complemented
13#21424127C211yesmaximal, characteristic, complemented
14#21423984C211yesmaximal, characteristic, complemented
15C59×#1852C211yesmaximal, characteristic, complemented
16C22×#11745664C2211yescharacteristic
17C22×#11745659C2211yescharacteristic
18C2×C4×C22⋊D59—21no—
19C2×C4×C22⋊D59C2211yescharacteristic
20C2×#14273686C2211yescharacteristic
21C2×#14273685C2211yescharacteristic
22C2×C4⋊C4×D59C2211yescharacteristic
23#16837477C418yescomplemented
24#16837443—24no—
25#16837442—24no—
26C2×#14273661C2211yescharacteristic
27C2×#14273660C2211yescharacteristic
28C2×#14273660C2211yescharacteristic
29C2×#14273660C2211yescharacteristic
30C2×#14273659C2211yescharacteristic
31C2×#14273658C2211yescharacteristic
32C2×#14273658C2211yescharacteristic
33C2×#14273658C2211yescharacteristic
34C2×Dic59⋊C8C2211yescharacteristic
35C2×(C2×D59)⋊C8C2211yescharacteristic
36C2×C8×Dic59C2211yescharacteristic
37#16837302—21no—
38#16837297—21no—
39#16837296—21no—
40#16837291—21no—
41#16837275—21no—
42#16837273—21no—
43#16837271C2211yescharacteristic
44#16837271C2211yescharacteristic
45#16837262C2211yescharacteristic
46#16837259C2211yescharacteristic
47#16837259C2211yescharacteristic
48C4⋊C4×Dic59C2211yescharacteristic
49C4⋊C4×Dic59C2211yescharacteristic
50#16837253—21no—
51#16837165C2211yescharacteristic
52#16837165C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C22×C4⋊C4×C59C2211yescharacteristic
56C2×#107×C59C2211yescharacteristic
57C2×#107×C59C2211yescharacteristic
58C2×C22⋊C8×C59C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×C22⋊D59D411yescharacteristic
63C22×C4×D59—21no—
64C22×C4×D59C2311yescharacteristic
65C2×#11745664—22no—
66C2×#11745664—22no—
67C2×#11745664C2×C414yescomplemented
68C2×#11745659—22no—
69C2×#11745659—22no—
70C2×#11745659C2×C414yescomplemented
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C4×C22⋊D59—44no—
74C4×C22⋊D59C2×C414yes—
75C4×C22⋊D59Q814yes—
76#14273686—22no—
77#14273686—41no—
78#14273685—22no—
79#14273685—41no—
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×Dic59⋊C4—21no—
88C2×Dic59⋊C4—21no—
89C2×Dic59⋊C4D411yescharacteristic
90C4⋊C4×D59—22no—
91C4⋊C4×D59—41no—
92C2×C22⋊Dic59—21no—
93C2×C22⋊Dic59—21no—
94C2×C22⋊Dic59D411yescharacteristic
95C2×(C2×D59)⋊C4—21no—
96C2×(C2×D59)⋊C4—21no—
97C2×(C2×D59)⋊C4—21no—
98C2×(C2×D59)⋊C4D411yescharacteristic
99C2×C4×Dic59—21no—
100C2×C4×Dic59—21no—
101C2×C4×Dic59—21no—
102C2×C4×Dic59—21no—
103C2×C4×Dic59C2311yescharacteristic
104#14273661—41no—
105#14273660—22no—
106#14273660—22no—
107#14273660—22no—
108#14273659—22no—
109#14273658—22no—
110#14273658—22no—
111#14273658D414yescomplemented
112Dic59⋊C8C2×C414yescomplemented
113(C2×D59)⋊C8C2×C414yescomplemented
114C8×Dic59C2×C414yescomplemented
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C23×C4×C59—21no—
121C23×C4×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123C22×C8×C59C2311yescharacteristic
124C2×C4⋊C4×C59—22no—
125C2×C4⋊C4×C59—21no—
126C2×C4⋊C4×C59—41no—
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C22⋊C4×C59—21no—
132#107×C59—22no—
133#107×C59—41no—
134C22⋊C8×C59C2×C414yescomplemented
135#95×C59—21no—
136C24×C59C2×D411yescharacteristic
137C23×D59C2×D411yescharacteristic
138C22×C4×C59—21no—
139C22×C4×C59—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—42no—
147C22×C4×C59—42no—
148C22×C4×C59—81no—
149C22×C4×C59C22×C412yes—
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2×Q812yes—
152C22×C4×C59C2411yescharacteristic
153C2×C22⋊D59—22no—
154C2×C22⋊D59—22no—
155C2×C22⋊D59C4⋊C414yes—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59C2×D411yescharacteristic
161C22×Dic59C2×D411yescharacteristic
162C22×Dic59C2×D411yescharacteristic
163C2×C4×D59—21no—
164C2×C4×D59—21no—
165C2×C4×D59—21no—
166C2×C4×D59—21no—
167C2×C4×D59—42no—
168C2×C4×D59—42no—
169C2×C4×D59—81no—
170C2×C4×D59C22×C412yes—
171C2×C4×D59C2×Q812yes—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59—21no—
176C2×C8×C59C22×C412yes—
177C2×C8×C59C22×C412yes—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—42no—
186C4⋊C4×C59C2×D412yes—
187C22⋊C4×C59—81no—
188C22⋊Dic59—42no—
189C22⋊Dic59—42no—
190C22⋊Dic59C4⋊C414yes—
191(C2×D59)⋊C4—42no—
192(C2×D59)⋊C4—42no—
193(C2×D59)⋊C4—81no—
194(C2×D59)⋊C4C4⋊C414yes—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59C2×D412yes—
203Dic59⋊C4—42no—
204Dic59⋊C4—42no—
205Dic59⋊C4—42no—
206Dic59⋊C4—81no—
207Dic59⋊C4—81no—
208Dic59⋊C4C4⋊C414yes—
209C4×Dic59—42no—
210C4×Dic59—42no—
211C4×Dic59—42no—
212C4×Dic59—42no—
213C4×Dic59C22×C412yes—
214C4×Dic59C2×Q812yes—
215#11745664—28no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8C22×C412yes—
219C2×C59⋊C8C22×C412yes—
220C2×C59⋊C8C2×D412yes—
221C2×C59⋊C8#4112yes—
222#11745659—28no—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59C2×C4⋊C412yes—
230C23×C59C22×D411yescharacteristic
231C22×D59—21no—
232C22×D59—21no—
233C22×D59—21no—
234C22×D59—21no—
235C22×D59—21no—
236C22×D59—21no—
237C22×D59C2×C4⋊C412yes—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
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—84no—
257C2×C4×C59C2×C4⋊C412yes—
258C2×C4×C59C23×C411yescharacteristic
259C2×C4×C59C22×D411yescharacteristic
260C2×C4×C59C22×Q811yescharacteristic
261C2×C4×C59C2×#4111yescharacteristic
262C2×C4×C59H(5,𝔽2)11yescharacteristic
263C2×C4×C592−1+411yescharacteristic
264C22⋊D59—28no—
265C2×Dic59—21no—
266C2×Dic59—21no—
267C2×Dic59—21no—
268C2×Dic59—21no—
269C2×Dic59—22no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59C2×C4⋊C412yes—
282C2×Dic59C2×C4⋊C412yes—
283C2×Dic59C2×C4⋊C412yes—
284C2×Dic59AGL(1,ℤ/8)12yes—
285C2×Dic59#13712yes—
286C4×D59—22no—
287C4×D59—22no—
288C4×D59—22no—
289C4×D59—22no—
290C4×D59—84no—
291C8×C59—22no—
292C8×C59—22no—
293C59⋊C8—22no—
294C59⋊C8C4×D414yescomplemented
295#22665—591nomaximal, Sylow
296C22×C59—22no—
297C22×C59—22no—
298C22×C59—22no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—41no—
302C22×C59—41no—
303C22×C59C22×C4⋊C411yescharacteristic
304C22×C59D4211yescharacteristic
305C22×C59#54711yescharacteristic
306C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C59C2×#13711yescharacteristic
308C22×C59#57611yescharacteristic
309C22×C59#57811yescharacteristic
310C2×D59—22no—
311C2×D59—22no—
312C2×D59—22no—
313C2×D59—41no—
314C2×D59—41no—
315C2×D59—41no—
316C2×D59—41no—
317C4×C59—22no—
318C4×C59—42no—
319C4×C59—81no—
320C4×C59—81no—
321C4×C59—81no—
322C4×C59C2×C4×D411yescharacteristic
323C4×C59#52011yescharacteristic
324C4×C59D4×Q811yescharacteristic
325C4×C59#55411yescharacteristic
326Dic59—22no—
327Dic59—22no—
328Dic59—42no—
329Dic59—81no—
330Dic59—81no—
331Dic59—81no—
332Dic59#42814yescomplemented
333C2×#436—591no—
334C2×#428—591no—
335C2×#428—591no—
336#2354—591no—
337D4×C4⋊C4—591no—
338#1948—591no—
339#1947—591no—
340#1854—591no—
341#1854—591no—
342#1852—591no—
343#1852D5911yescharacteristic, complemented
344#1845—591no—
345#1809—591no—
346#1809—591no—
347C4×#106—591no—
348C2×C59—42no—
349C2×C59D4×C4⋊C411yescharacteristic
350C2×C59C2×#42811yescharacteristic
351C2×C59#291311yescharacteristic
352C2×C59#327411yescharacteristic
353C2×C59#327611yescharacteristic
354C2×C59#335311yescharacteristic
355C2×C59#335711yescharacteristic
356D59—42no—
357C22×M16—591no—
358C22×M16—591no—
359C2×C4×D4—591no—
360C2×C4×D4—1181no—
361C2×#117—591no—
362C2×#117—591no—
363C22×C4⋊C4—591no—
364C22×C4⋊C4C2×D5911yescharacteristic
365#436—598no—
366#428—1184no—
367#428—1184no—
368C2×#107—591no—
369C2×#107—591no—
370C2×#107—591no—
371C2×#107—591no—
372C2×#107C2×D5911yescharacteristic
373C2×#107C2×D5911yescharacteristic
374C2×#106—591no—
375C2×#106—591no—
376C2×#106—591no—
377C2×#106—591no—
378C2×C4⋊C8—591no—
379C2×C22⋊C8—591no—
380C2×C22⋊C8C2×D5911yescharacteristic
381C2×C4×C8—591no—
382#390—1181no—
383#389—1181no—
384#388—1181no—
385#388—1181no—
386#385—1181no—
387#385—1181no—
388#384—591no—
389#384—591no—
390#380—591no—
391#380—591no—
392#380—591no—
393#380C2×D5911yescharacteristic
394C4×C4⋊C4—591no—
395C4×C4⋊C4—591no—
396C4×C4⋊C4—1181no—
397#340—591no—
398#340—591no—
399#340—591no—
400#340—591no—
401#340C2×D5911yescharacteristic
402#340C2×D5911yescharacteristic
403C59#2266511yescharacteristic, complemented, Sylow
404C22×D4—591no—
405C23×C4—21no—
406C23×C4—591no—
407C23×C4—1181no—
408C23×C4C22×D5911yescharacteristic
409C2×M16—594no—
410C2×M16—594no—
411C2×M16—1182no—
412C2×M16—1182no—
413C2×M16—1182no—
414C2×M16—1182no—
415C22×C8—591no—
416C22×C8—591no—
417C22×C8C22×D5911yescharacteristic
418C22×C8C22×D5911yescharacteristic
419C4×D4—594no—
420C4×D4—594no—
421C4×D4—2364no—
422#117—1182no—
423#117—1182no—
424#117—2361no—
425#117—2361no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—591no—
432C2×C4⋊C4—591no—
433C2×C4⋊C4—591no—
434C2×C4⋊C4—1182no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—2361no—
441C2×C4⋊C4C22×D5911yescharacteristic
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—591no—
447C2×C22⋊C4—591no—
448C2×C22⋊C4—1181no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C42—591no—
454C2×C42—1181no—
455C2×C42—1181no—
456C2×C42—1181no—
457C2×C42—1181no—
458#107—22no—
459#107—41no—
460#107—1182no—
461#107—1182no—
462#107—1182no—
463#107—2361no—
464#106—594no—
465#106—1182no—
466#106—1182no—
467#106—1182no—
468C4⋊C8—594no—
469C22⋊C8—594no—
470C22⋊C8C4×D5914yescomplemented
471C4×C8—594no—
472#95—21no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478C24—591no—
479C24D4×D5911yescharacteristic
480C2×D4—594no—
481C2×D4—1182no—
482C2×D4—1182no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—591no—
495C22×C4—591no—
496C22×C4—591no—
497C22×C4—592no—
498C22×C4—592no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4—1181no—
503C22×C4—1181no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—4721no—
508C22×C4—2362no—
509C22×C4—2362no—
510C22×C4C2×C4×D5912yes—
511C22×C4D4×D5911yescharacteristic
512C22×C4Q8×D5912yes—
513C22×C4C23×D5911yescharacteristic
514M16—1188no—
515M16—1188no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—592no—
521C2×C8—592no—
522C2×C8—592no—
523C2×C8—592no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8C2×C4×D5912yes—
527C2×C8C2×C4×D5912yes—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—42no—
536C4⋊C4—594no—
537C4⋊C4—592no—
538C4⋊C4—1181no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—4721no—
546C4⋊C4—4721no—
547C4⋊C4—2362no—
548C4⋊C4—2362no—
549C4⋊C4—2362no—
550C4⋊C4D4×D5912yes—
551C22⋊C4—81no—
552C22⋊C4—594no—
553C22⋊C4—594no—
554C22⋊C4—4721no—
555C22⋊C4—2362no—
556C22⋊C4—2362no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C42—592no—
560C42—592no—
561C42—2362no—
562C42—2362no—
563C42—2362no—
564C42—2362no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—592no—
572C23—1181no—
573C23—1181no—
574C23—1181no—
575C23—1181no—
576C23—1181no—
577C23—1181no—
578C23C4⋊C4×D5912yes—
579C23C2×D4×D5911yescharacteristic
580D4—1188no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—592no—
601C2×C4—592no—
602C2×C4—592no—
603C2×C4—592no—
604C2×C4—592no—
605C2×C4—1181no—
606C2×C4—1181no—
607C2×C4—1181no—
608C2×C4—1181no—
609C2×C4—1182no—
610C2×C4—1182no—
611C2×C4—1182no—
612C2×C4—1182no—
613C2×C4—1182no—
614C2×C4—4724no—
615C2×C4—2361no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4C4⋊C4×D5912yes—
627C2×C4C22×C4×D5911yescharacteristic
628C2×C4C2×D4×D5911yescharacteristic
629C2×C4C2×Q8×D5911yescharacteristic
630C2×C4#41×D5911yescharacteristic
631C2×C4#1427377211yescharacteristic
632C2×C4#1427377411yescharacteristic
633C8—22no—
634C8—22no—
635C8—594no—
636C8—1182no—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—1182no—
645C22—1182no—
646C22—1182no—
647C22—2361no—
648C22—2361no—
649C22—2361no—
650C22—2361no—
651C22C2×C4⋊C4×D5911yescharacteristic
652C22#1683803411yescharacteristic
653C22#1683805011yescharacteristic
654C22AGL(1,ℤ/8)×D5911yescharacteristic
655C22#137×D5911yescharacteristic
656C22#1683820311yescharacteristic
657C22#1683821511yescharacteristic
658C4—22no—
659C4—42no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—594no—
664C4—1182no—
665C4—1182no—
666C4—4721no—
667C4—4721no—
668C4—4721no—
669C4—2362no—
670C4C4×D4×D5911yescharacteristic
671C4#1683788111yescharacteristic
672C4#1683806511yescharacteristic
673C4#1683810611yescharacteristic
674C2—42no—
675C2—2362no—
676C2#2142699411yescharacteristic
677C2#428×D5911yescharacteristic
678C2#2143269211yescharacteristic
679C2#2143571411yescharacteristic
680C2#2143573511yescharacteristic
681C2#2143667311yescharacteristic
682C2#2143671511yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1852C2
socleC23×C59C22×D4
prime radicalC22×C22⋊D59D4
cosocleC22×C4×C59C24
hypercenter#1852D59
hypocenterC59#22665
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#16837443C2semidirect
3. C2×#16837442C2semidirect
6. #21424858C2semidirect
7. #21424851C2semidirect
8. #21424297C2semidirect
9. #21424292C2semidirect
10. #21424285C2semidirect
11. #21424254C2semidirect
12. #21424128C2semidirect
13. #21424127C2semidirect
14. #21423984C2semidirect
15. C59×#1852C2semidirect
23. #16837477C4semidirect
67. C2×#11745664C2×C4semidirect
70. C2×#11745659C2×C4semidirect
111. #14273658D4semidirect
112. Dic59⋊C8C2×C4semidirect
113. (C2×D59)⋊C8C2×C4semidirect
114. C8×Dic59C2×C4semidirect
134. C22⋊C8×C59C2×C4semidirect
294. C59⋊C8C4×D4semidirect
332. Dic59#428semidirect
343. #1852D59semidirect
403. C59#22665semidirect
470. C22⋊C8C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168374772
C2×#168374432
C2×#168374422
#214270402
C4⋊C4×C22⋊D592
#214248582
#214248512
#214242972
#214242922
#214242852
#214242542
#214241282
#214241272
#214239842
C59×#18522
#2266559