Finite Group Databasebeta

← #28606878

Subgroups — #28606878

Order 15104.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837475C211yesmaximal, characteristic
2C2×#16837443C211yesmaximal, characteristic, complemented
3C2×#107×D59C211yesmaximal, characteristic, complemented
4#21427028C211yesmaximal, characteristic
5C4⋊C4×D236C211yesmaximal, characteristic
6#21424864C211yesmaximal, characteristic, complemented
7#21424854C211yesmaximal, characteristic, complemented
8#21424296C211yesmaximal, characteristic, complemented
9#21424290C211yesmaximal, characteristic, complemented
10#21424285C211yesmaximal, characteristic, complemented
11#21424285C211yesmaximal, characteristic, complemented
12#21424264C211yesmaximal, characteristic, complemented
13#21424126C211yesmaximal, characteristic, complemented
14#21424118C211yesmaximal, characteristic, complemented
15C59×#1776C211yesmaximal, characteristic, complemented
16C22×#11745659C2211yescharacteristic
17C22×C8×D59C2211yescharacteristic
18C2×C4×D236—21no—
19C2×C4×D236C2211yescharacteristic
20C2×#14273685C2211yescharacteristic
21C2×C4⋊C4×D59C2211yescharacteristic
22C2×C4⋊C4×D59C2211yescharacteristic
23C2×C4⋊C4×D59C2211yescharacteristic
24#16837475C418yescomplemented
25#16837443—24no—
26C2×#14273661C2211yescharacteristic
27C2×#14273661C2211yescharacteristic
28C2×#14273660C2211yescharacteristic
29C2×#14273660C2211yescharacteristic
30C2×#14273660C2211yescharacteristic
31#107×D59—24no—
32C2×#14273659C2211yescharacteristic
33C2×#14273659C2211yescharacteristic
34C2×#14273658C2211yescharacteristic
35C2×C4⋊(C59⋊C8)C2211yescharacteristic
36C2×(C2×D59)⋊C8C2211yescharacteristic
37C2×(C2×D59)⋊C8C2211yescharacteristic
38#16837300—21no—
39#16837293—21no—
40#16837287—21no—
41#16837280—21no—
42#16837276—21no—
43#16837276—21no—
44#16837272C2211yescharacteristic
45#16837268C2211yescharacteristic
46#16837259C2211yescharacteristic
47#16837259C2211yescharacteristic
48#16837259C2211yescharacteristic
49#16837259C2211yescharacteristic
50C4×(C2×D59)⋊C4—21no—
51#16837164C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C2×#107×C59C2211yescharacteristic
56C2×#106×C59C2211yescharacteristic
57C2×#97×C59C2211yescharacteristic
58C4×C4⋊C4×C59C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×D236D411yescharacteristic
63C22×C4×D59—21no—
64C22×C4×D59—21no—
65C22×C4×D59—21no—
66C22×C4×D59C2311yescharacteristic
67C22×C4×D59C2311yescharacteristic
68C2×#11745659—22no—
69C2×#11745659—22no—
70C2×#11745659C2×C414yescomplemented
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C2×C8×D59—22no—
74C2×C8×D59—22no—
75C2×C8×D59C2×C414yescomplemented
76C4×D236—44no—
77C4×D236C2×C414yes—
78C4×D236Q814yes—
79#14273685—22no—
80#14273685—41no—
81C2×C4⋊Dic59—21no—
82C2×C4⋊Dic59—21no—
83C2×C4⋊Dic59D411yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C4⋊Dic59C2311yescharacteristic
86C2×C4⋊Dic59C2311yescharacteristic
87C2×C4⋊Dic59C2311yescharacteristic
88C2×Dic59⋊C4—21no—
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4—21no—
91C4⋊C4×D59—22no—
92C4⋊C4×D59—22no—
93C4⋊C4×D59—22no—
94C4⋊C4×D59—41no—
95C4⋊C4×D59—41no—
96C4⋊C4×D59—41no—
97C2×(C2×D59)⋊C4—21no—
98C2×(C2×D59)⋊C4—21no—
99C2×(C2×D59)⋊C4—21no—
100C2×(C2×D59)⋊C4—21no—
101C2×(C2×D59)⋊C4—21no—
102C2×(C2×D59)⋊C4D411yescharacteristic
103C2×(C2×D59)⋊C4D411yescharacteristic
104C2×C4×Dic59—21no—
105#14273661—22no—
106#14273661—41no—
107#14273660—22no—
108#14273660—22no—
109#14273660—22no—
110#14273659—22no—
111#14273659—41no—
112#14273658—22no—
113C4⋊(C59⋊C8)C2×C414yescomplemented
114(C2×D59)⋊C8C2×C414yescomplemented
115(C2×D59)⋊C8C2×C414yescomplemented
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C59⋊#95—21no—
121C59⋊#95—21no—
122C22×C8×C59C2311yescharacteristic
123C22×C8×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C42×C59—21no—
129C2×C42×C59—21no—
130C2×C42×C59C2311yescharacteristic
131#107×C59D414yescomplemented
132#106×C59—22no—
133#97×C59C2×C414yescomplemented
134#95×C59—21no—
135#95×C59—21no—
136C23×D59C2×D411yescharacteristic
137C23×D59C2×D411yescharacteristic
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59C2×D411yescharacteristic
143C22×C4×C59C2×D411yescharacteristic
144C22×C4×C59C2411yescharacteristic
145C22×Dic59—21no—
146C22×Dic59—21no—
147C22×Dic59—21no—
148C22×Dic59—21no—
149C22×Dic59C2×D411yescharacteristic
150C22×Dic59C2×D411yescharacteristic
151C2×D236—22no—
152C2×D236—22no—
153C2×D236C4⋊C414yes—
154C2×C4×D59—21no—
155C2×C4×D59—21no—
156C2×C4×D59—21no—
157C2×C4×D59—21no—
158C2×C4×D59—21no—
159C2×C4×D59—21no—
160C2×C4×D59—21no—
161C2×C4×D59—21no—
162C2×C4×D59—42no—
163C2×C4×D59—42no—
164C2×C4×D59—42no—
165C2×C4×D59—42no—
166C2×C4×D59—42no—
167C2×C4×D59—42no—
168C2×C4×D59—81no—
169C2×C4×D59—81no—
170C2×C4×D59—81no—
171C2×C4×D59C22×C412yes—
172C2×C4×D59C22×C412yes—
173C2×C4×D59C2×Q812yes—
174C2×C4×D59C2×Q812yes—
175C2×C8×C59—21no—
176C2×C8×C59—21no—
177C2×C8×C59C22×C412yes—
178C2×C8×C59C22×C412yes—
179C2×C8×C59C2×D412yes—
180C2×C8×C59#4112yes—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59C2×D412yes—
188C4⋊C4×C59C2×D412yes—
189C42×C59—42no—
190C42×C59—81no—
191C42×C59C22×C412yes—
192C42×C59C2×Q812yes—
193(C2×D59)⋊C4—42no—
194(C2×D59)⋊C4—42no—
195(C2×D59)⋊C4—42no—
196(C2×D59)⋊C4—42no—
197(C2×D59)⋊C4—81no—
198(C2×D59)⋊C4C4⋊C414yes—
199(C2×D59)⋊C4C4⋊C414yes—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—42no—
209C4⋊Dic59—81no—
210C4⋊Dic59C4⋊C414yes—
211Dic59⋊C4—42no—
212Dic59⋊C4—42no—
213Dic59⋊C4—42no—
214C4×Dic59—42no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8C22×C412yes—
220C2×C59⋊C8C22×C412yes—
221#11745659—28no—
222C8×D59—28no—
223C23×C59C22×D411yescharacteristic
224C22×D59—21no—
225C22×D59—21no—
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59—21no—
230C22×D59—21no—
231C22×D59—21no—
232C22×D59—21no—
233C22×D59—21no—
234C22×D59C2×C4⋊C412yes—
235C22×D59C2×C4⋊C412yes—
236C22×D59AGL(1,ℤ/8)12yes—
237C22×D59#13712yes—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—41no—
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×C59C2×C4⋊C412yes—
255C2×C4×C59C2×C4⋊C412yes—
256C2×C4×C59C23×C411yescharacteristic
257C2×C4×C59C22×D411yescharacteristic
258C2×C4×C59C22×Q811yescharacteristic
259C2×C4×C59C2×#4111yescharacteristic
260C2×C4×C59H(5,𝔽2)11yescharacteristic
261C2×C4×C592−1+411yescharacteristic
262C2×Dic59—21no—
263C2×Dic59—21no—
264C2×Dic59—21no—
265C2×Dic59—21no—
266C2×Dic59—41no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
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×Dic59C2×C4⋊C412yes—
279C2×Dic59C2×C4⋊C412yes—
280D236—28no—
281C4×D59—22no—
282C4×D59—22no—
283C4×D59—22no—
284C4×D59—22no—
285C4×D59—22no—
286C4×D59—22no—
287C4×D59—22no—
288C4×D59—22no—
289C4×D59—84no—
290C4×D59—84no—
291C4×D59—84no—
292C8×C59—22no—
293C8×C59C4×D414yescomplemented
294C59⋊C8—22no—
295C59⋊C8—22no—
296#22661—591nomaximal, Sylow
297C22×C59C22×C4⋊C411yescharacteristic
298C22×C59D4211yescharacteristic
299C22×C59#54711yescharacteristic
300C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
301C22×C59C2×#13711yescharacteristic
302C22×C59#57611yescharacteristic
303C22×C59#57811yescharacteristic
304C2×D59—22no—
305C2×D59—22no—
306C2×D59—22no—
307C2×D59—22no—
308C2×D59—22no—
309C2×D59—22no—
310C2×D59—22no—
311C2×D59—22no—
312C2×D59—22no—
313C2×D59—41no—
314C2×D59—41no—
315C2×D59—41no—
316C2×D59—41no—
317C2×D59#42814yescomplemented
318C4×C59—22no—
319C4×C59—22no—
320C4×C59—42no—
321C4×C59—42no—
322C4×C59—81no—
323C4×C59—81no—
324C4×C59C2×C4×D411yescharacteristic
325C4×C59#52011yescharacteristic
326C4×C59D4×Q811yescharacteristic
327C4×C59#55411yescharacteristic
328Dic59—22no—
329Dic59—22no—
330Dic59—81no—
331Dic59—81no—
332Dic59—81no—
333Dic59—81no—
334C2×#435—591no—
335C2×#428—591no—
336C22×#107—591no—
337#2352—591no—
338D4×C4⋊C4—591no—
339#1949—591no—
340#1947—591no—
341#1854—591no—
342#1853—591no—
343#1852—591no—
344#1852—591no—
345#1847—591no—
346#1809—591no—
347#1807—591no—
348#1776D5911yescharacteristic, complemented
349C2×C59D4×C4⋊C411yescharacteristic
350C2×C59C2×#42811yescharacteristic
351C2×C59#291311yescharacteristic
352C2×C59#326411yescharacteristic
353C2×C59#327011yescharacteristic
354C2×C59#334311yescharacteristic
355C2×C59#334611yescharacteristic
356D59—24no—
357D59—42no—
358C22×M16—591no—
359C23×C8—591no—
360C2×C4×D4—591no—
361C2×C4×D4—1181no—
362C2×#117—591no—
363C22×C4⋊C4—591no—
364C22×C4⋊C4—591no—
365C22×C4⋊C4—591no—
366#435—598no—
367#428—1184no—
368C2×#107—591no—
369C2×#107—591no—
370C2×#107—591no—
371C2×#107—591no—
372C2×#107—591no—
373C2×#107—1184no—
374C2×#107C2×D5911yescharacteristic
375C2×#106—591no—
376C2×#106—591no—
377C2×#106—591no—
378C2×#106C2×D5911yescharacteristic
379C2×C4⋊C8—591no—
380C2×C22⋊C8—591no—
381C2×C22⋊C8—591no—
382C2×#97C2×D5911yescharacteristic
383#389—1181no—
384#388—1181no—
385#387—1181no—
386#386—1181no—
387#385—1181no—
388#385—1181no—
389#384—591no—
390#382—591no—
391#380—591no—
392#380—591no—
393#380—591no—
394#380—591no—
395C4×C4⋊C4C2×D5911yescharacteristic
396C4×C4⋊C4C2×D5911yescharacteristic
397C4×C22⋊C4—1181no—
398#340—591no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340C2×D5911yescharacteristic
403#340C2×D5911yescharacteristic
404C59#2266111yescharacteristic, complemented, Sylow
405C22×D4—591no—
406C23×C4—591no—
407C23×C4—591no—
408C23×C4—1181no—
409C23×C4—1181no—
410C23×C4—1181no—
411C2×M16—594no—
412C2×M16—1182no—
413C2×M16—1182no—
414C22×C8—591no—
415C22×C8—591no—
416C22×C8—594no—
417C22×C8—1182no—
418C22×C8—1182no—
419C22×C8C22×D5911yescharacteristic
420C22×C8C22×D5911yescharacteristic
421C4×D4—594no—
422C4×D4—594no—
423C4×D4—2364no—
424#117—1182no—
425#117—2361no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—1182no—
432C2×C4⋊C4—1182no—
433C2×C4⋊C4—1182no—
434C2×C4⋊C4—1181no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—2361no—
440C2×C4⋊C4—2361no—
441C2×C4⋊C4—2361no—
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
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—21no—
454C2×C42—21no—
455C2×C42—1181no—
456C2×C42C22×D5911yescharacteristic
457#107—1182no—
458#107—1182no—
459#107—1182no—
460#107—1182no—
461#107—2361no—
462#107D23614yescomplemented
463#106—22no—
464#106—1182no—
465#106—1182no—
466#106—2361no—
467C4⋊C8—594no—
468C22⋊C8—594no—
469C22⋊C8—594no—
470#97C4×D5914yescomplemented
471#95—21no—
472#95—21no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478#95—1181no—
479C24—591no—
480C24—591no—
481C2×D4—594no—
482C2×D4—1182no—
483C2×D4—1182no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—591no—
489C22×C4—591no—
490C22×C4—592no—
491C22×C4—592no—
492C22×C4—592no—
493C22×C4—592no—
494C22×C4—1181no—
495C22×C4—1181no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4—1181no—
503C22×C4—1181no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—4721no—
507C22×C4—4721no—
508C22×C4—4721no—
509C22×C4—2362no—
510C22×C4—2362no—
511C22×C4—2362no—
512C22×C4—2362no—
513C22×C4—2362no—
514C22×C4—2362no—
515C22×C4D4×D5911yescharacteristic
516C22×C4D4×D5911yescharacteristic
517C22×C4C23×D5911yescharacteristic
518M16—1188no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—592no—
522C2×C8—592no—
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—1181no—
527C2×C8—1188no—
528C2×C8C2×C4×D5912yes—
529C2×C8C2×C4×D5912yes—
530C2×C8C2×D23612yes—
531C2×C8#1174568512yes—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—594no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4—4721no—
548C4⋊C4—2362no—
549C4⋊C4—2362no—
550C4⋊C4—2362no—
551C4⋊C4—2362no—
552C4⋊C4C2×D23612yes—
553C4⋊C4C2×D23612yes—
554C22⋊C4—594no—
555C22⋊C4—594no—
556C22⋊C4—4721no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C22⋊C4—2362no—
560C22⋊C4—2362no—
561C42—42no—
562C42—81no—
563C42—2362no—
564C42C2×C4×D5912yes—
565C42Q8×D5912yes—
566C23—592no—
567C23—592no—
568C23—592no—
569C23—592no—
570C23—1181no—
571C23—1181no—
572C23—1181no—
573C23—1181no—
574C23—1181no—
575C23—1181no—
576C23—1181no—
577C23—1181no—
578C23—1181no—
579C23—1181no—
580C23C2×D4×D5911yescharacteristic
581D4—1188no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
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—592no—
599C2×C4—592no—
600C2×C4—1181no—
601C2×C4—1181no—
602C2×C4—1181no—
603C2×C4—1181no—
604C2×C4—1182no—
605C2×C4—1182no—
606C2×C4—1182no—
607C2×C4—1182no—
608C2×C4—1182no—
609C2×C4—1182no—
610C2×C4—1182no—
611C2×C4—1182no—
612C2×C4—4724no—
613C2×C4—4724no—
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×C4—2361no—
627C2×C4C4⋊C4×D5912yes—
628C2×C4C4⋊C4×D5912yes—
629C2×C4C22×C4×D5911yescharacteristic
630C2×C4C22×D23611yescharacteristic
631C2×C4C2×Q8×D5911yescharacteristic
632C2×C4C2×#1174568511yescharacteristic
633C2×C4#1427377311yescharacteristic
634C2×C4#1427377411yescharacteristic
635C8—22no—
636C8—1182no—
637C8—1182no—
638C8C4×D23614yescomplemented
639C22—594no—
640C22—1182no—
641C22—1182no—
642C22—1182no—
643C22—1182no—
644C22—1182no—
645C22—1182no—
646C22—1182no—
647C22—1182no—
648C22—1182no—
649C22—2361no—
650C22—2361no—
651C22—2361no—
652C22—2361no—
653C22C2×C4⋊C4×D5911yescharacteristic
654C22D4×D23611yescharacteristic
655C22#1683805711yescharacteristic
656C22AGL(1,ℤ/8)×D5911yescharacteristic
657C22#137×D5911yescharacteristic
658C22#1683820611yescharacteristic
659C22#1683821811yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—42no—
664C4—81no—
665C4—81no—
666C4—1182no—
667C4—1182no—
668C4—4721no—
669C4—4721no—
670C4—4721no—
671C4—4721no—
672C4C2×C4×D23611yescharacteristic
673C4#1683788211yescharacteristic
674C4Q8×D23611yescharacteristic
675C4#1683811211yescharacteristic
676C2—1184no—
677C2—2362no—
678C2C4⋊C4×D23611yescharacteristic
679C2#428×D5911yescharacteristic
680C2#2143269511yescharacteristic
681C2#2143557811yescharacteristic
682C2#2143566811yescharacteristic
683C2#2143654111yescharacteristic
684C2#2143658611yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1776C2
socleC23×C59C22×D4
prime radicalC22×D236D4
cosocleC22×C4×C59C24
hypercenter#1776D59
hypocenterC59#22661
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1776

Complements

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

NH ≅ G/Ntype
2. C2×#16837443C2semidirect
3. C2×#107×D59C2semidirect
6. #21424864C2semidirect
7. #21424854C2semidirect
8. #21424296C2semidirect
9. #21424290C2semidirect
10. #21424285C2semidirect
11. #21424285C2semidirect
12. #21424264C2semidirect
13. #21424126C2semidirect
14. #21424118C2semidirect
15. C59×#1776C2semidirect
24. #16837475C4semidirect
70. C2×#11745659C2×C4semidirect
75. C2×C8×D59C2×C4semidirect
113. C4⋊(C59⋊C8)C2×C4semidirect
114. (C2×D59)⋊C8C2×C4semidirect
115. (C2×D59)⋊C8C2×C4semidirect
131. #107×C59D4semidirect
133. #97×C59C2×C4semidirect
293. C8×C59C4×D4semidirect
317. C2×D59#428semidirect
348. #1776D59semidirect
404. C59#22661semidirect
462. #107D236semidirect
470. #97C4×D59semidirect
638. C8C4×D236semidirect

Maximal subgroups

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

subgroupindex
C2×#168374752
C2×#168374432
C2×#107×D592
#214270282
C4⋊C4×D2362
#214248642
#214248542
#214242962
#214242902
#214242852
#214242642
#214241262
#214241182
C59×#17762
#2266159