Finite Group Databasebeta

← #28629450

Subgroups — #28629450

Order 15104.

870 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837604C211yesmaximal, characteristic, complemented
2C2×#16837463C211yesmaximal, characteristic, complemented
3#21426789C211yesmaximal, characteristic
4#21425296C211yesmaximal, characteristic, complemented
5#21425289C211yesmaximal, characteristic, complemented
6#21425097C211yesmaximal, characteristic
7#21425097C211yesmaximal, characteristic
8#21425020C211yesmaximal, characteristic, complemented
9#21424980C211yesmaximal, characteristic, complemented
10#21424953C211yesmaximal, characteristic, complemented
11#21424862C211yesmaximal, characteristic, complemented
12#21424789C211yesmaximal, characteristic, complemented
13#21424775C211yesmaximal, characteristic, complemented
14#21424103C211yesmaximal, characteristic, complemented
15C59×#2621C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C22×#11745671C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×C4×D236C2211yescharacteristic
20#16837604—24no—
21#16837463—24no—
22C2×#14273660C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×C4⋊(C59⋊C8)C2211yescharacteristic
25C2×C4⋊(C59⋊C8)C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837304C2211yescharacteristic
39#16837302—21no—
40#16837300C2211yescharacteristic
41#16837292—21no—
42#16837278—21no—
43#16837273—21no—
44#16837262C2211yescharacteristic
45C4×C4⋊Dic59C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50C2×C4⋊Q8×C59C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C22⋊Q8×C59C2211yescharacteristic
53C2×#117×C59C2211yescharacteristic
54C59×#398—21no—
55C59×#398—21no—
56C59×#397—21no—
57C59×#397—21no—
58C59×#391C2211yescharacteristic
59C59×#391C2211yescharacteristic
60C59×#382C2211yescharacteristic
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C22×C4×D59—21no—
64C2×#11745671—22no—
65C2×#11745671—22no—
66C2×#11745671—22no—
67C2×#11745671—22no—
68C2×#11745671—41no—
69C2×#11745671—41no—
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74#14273701—22no—
75#14273701—22no—
76C4×D236—22no—
77C4×D236—22no—
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×Dic59⋊C4—21no—
82C2×C22⋊Dic59—21no—
83C2×(C2×D59)⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×C4×Dic59—21no—
88#14273660—41no—
89#14273658—41no—
90C4⋊(C59⋊C8)—22no—
91C4⋊(C59⋊C8)D414yescomplemented
92#14273651—22no—
93#14273651—22no—
94#14273651—22no—
95#14273651—22no—
96#14273651—41no—
97#14273651—41no—
98#14273647—41no—
99#14273647—41no—
100C22⋊(C59⋊C8)—22no—
101C22⋊(C59⋊C8)—22no—
102#14273638—22no—
103C4×C59⋊C8—22no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C22×Q8×C59C2311yescharacteristic
108C22×Q8×C59C2311yescharacteristic
109C23×C4×C59C2311yescharacteristic
110C4⋊Q8×C59—22no—
111C4⋊Q8×C59—22no—
112C22⋊Q8×C59—41no—
113C22⋊Q8×C59—41no—
114C22⋊Q8×C59—41no—
115C22⋊Q8×C59—41no—
116#117×C59—22no—
117#117×C59—22no—
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—21no—
121C2×C4⋊C4×C59—21no—
122C2×C4⋊C4×C59D411yescharacteristic
123C2×C4⋊C4×C59D411yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C42×C59C2311yescharacteristic
131C2×C42×C59C2311yescharacteristic
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137#95×C59—21no—
138C24×C59C2×D411yescharacteristic
139C23×D59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59—21no—
148C2×Q8×C59—21no—
149C2×Q8×C59—21no—
150C2×Q8×C59—21no—
151C2×Q8×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59C2411yescharacteristic
168C2×C22⋊D59—24no—
169C2×C22⋊D59—81no—
170C2×C22⋊D59—81no—
171C22×Dic59—21no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174C2×D236—21no—
175C2×D236—21no—
176C2×D236—21no—
177C2×D236—21no—
178C2×D236—21no—
179C2×D236#4112yes—
180C2×C4×D59—42no—
181C2×C4×D59—81no—
182C2×C4×D59—81no—
183C4⋊C4×C59—22no—
184C4⋊C4×C59—22no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—42no—
190C4⋊C4×C59—42no—
191C4⋊C4×C59—42no—
192C4⋊C4×C59—42no—
193C22⋊C4×C59—22no—
194C22⋊C4×C59—22no—
195C22⋊C4×C59—42no—
196C22⋊C4×C59—42no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59C2×D412yes—
200C42×C59#4112yes—
201C22⋊Dic59—81no—
202#11745671—44no—
203#11745671—44no—
204(C2×D59)⋊C4—24no—
205(C2×D59)⋊C4—42no—
206(C2×D59)⋊C4—81no—
207(C2×D59)⋊C4—81no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59#4112yes—
214Dic59⋊C4—81no—
215C4×Dic59—81no—
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⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8C2×D412yes—
227C2×C59⋊C8C2×D412yes—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59C22×D411yescharacteristic
236C22×D59—22no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242C22×D59—41no—
243Q8×C59—41no—
244Q8×C59—41no—
245Q8×C59—41no—
246Q8×C59—41no—
247Q8×C59—41no—
248Q8×C59—41no—
249Q8×C59—41no—
250Q8×C59—41no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
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—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
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×C59—41no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59#12112yes—
281C2×C4×C59#12112yes—
282C2×C4×C59C22×D411yescharacteristic
283C2×C4×C59C2×#4111yescharacteristic
284C2×C4×C59C2×#4111yescharacteristic
285C2×C4×C59C2×#4111yescharacteristic
286C2×C4×C59H(5,𝔽2)11yescharacteristic
287C2×C4×C59H(5,𝔽2)11yescharacteristic
288C22⋊D59—84no—
289C2×Dic59—22no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298D236—22no—
299D236—22no—
300D236—41no—
301D236—41no—
302C4×D59—84no—
303C59⋊C8—22no—
304C59⋊C8—22no—
305C59⋊C8—41no—
306C59⋊C8—41no—
307#24666—591nomaximal, Sylow
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—41no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—41no—
315C22×C59C2×#12111yescharacteristic
316C22×C59#52511yescharacteristic
317C22×C59#53511yescharacteristic
318C22×C59#57711yescharacteristic
319C22×C59#57711yescharacteristic
320C22×C59#57711yescharacteristic
321C22×C59#57811yescharacteristic
322C2×D59—42no—
323C2×D59—42no—
324C2×D59—42no—
325C2×D59—81no—
326C2×D59—81no—
327C2×D59—81no—
328C2×D59—81no—
329C4×C59—22no—
330C4×C59—22no—
331C4×C59—41no—
332C4×C59—41no—
333C4×C59—41no—
334C4×C59—81no—
335C4×C59—81no—
336C4×C59—81no—
337C4×C59—81no—
338C4×C59#54611yescharacteristic
339C4×C59#55011yescharacteristic
340C4×C59#55311yescharacteristic
341C4×C59#55511yescharacteristic
342Dic59—42no—
343Dic59—81no—
344Dic59—81no—
345C2×#461—591no—
346C2×#433—591no—
347#2621D5911yescharacteristic, complemented
348#2324—591no—
349#2036—591no—
350#2035—591no—
351#2000—591no—
352#2000—591no—
353#1981—591no—
354#1973—591no—
355#1968—591no—
356#1949—591no—
357#1935—591no—
358#1933—591no—
359#1804—591no—
360C2×C59—81no—
361C2×C59#241411yescharacteristic
362C2×C59#305711yescharacteristic
363C2×C59#306311yescharacteristic
364C2×C59#312011yescharacteristic
365C2×C59#312311yescharacteristic
366C2×C59#322111yescharacteristic
367C2×C59#322511yescharacteristic
368D59—82no—
369C22×SD16—591no—
370C22×SD16—591no—
371C2×C4⋊Q8C2×D5911yescharacteristic
372C2×C22⋊Q8C2×D5911yescharacteristic
373C2×C22⋊Q8C2×D5911yescharacteristic
374C2×#121—591no—
375C2×C4×D4—591no—
376C2×#117C2×D5911yescharacteristic
377#461—1184no—
378#433—1184no—
379C2×#107—591no—
380C2×#106—591no—
381C2×C4⋊C8—591no—
382C2×C4⋊C8—591no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#102—591no—
390C2×#102—591no—
391C2×C22⋊C8—591no—
392C2×C22⋊C8—591no—
393C2×#97—591no—
394C2×C4×C8—591no—
395#398—21no—
396#398—21no—
397#397—21no—
398#397—21no—
399#391C2×D5911yescharacteristic
400#391C2×D5911yescharacteristic
401#390—591no—
402#390—1181no—
403#389—591no—
404#388—1181no—
405#386—1181no—
406#385—1181no—
407#382C2×D5911yescharacteristic
408#380—591no—
409C4×C4⋊C4—591no—
410#340—591no—
411#340—591no—
412#340—591no—
413#340—591no—
414C59#2466611yescharacteristic, complemented, Sylow
415C22×Q8C22×D5911yescharacteristic
416C22×Q8C22×D5911yescharacteristic
417C22×D4—591no—
418C22×D4—1181no—
419C23×C4—1181no—
420C23×C4C22×D5911yescharacteristic
421C2×SD16—1182no—
422C2×SD16—1182no—
423C2×SD16—1182no—
424C2×SD16—1182no—
425C2×SD16—2361no—
426C2×SD16—2361no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430C22×C8—591no—
431C4⋊Q8—22no—
432C4⋊Q8—22no—
433C22⋊Q8—41no—
434C22⋊Q8—41no—
435C22⋊Q8—41no—
436C22⋊Q8—41no—
437#121—1182no—
438#121—1182no—
439C4×D4—1182no—
440C4×D4—1182no—
441#117—22no—
442#117—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—591no—
449C2×C4⋊C4—591no—
450C2×C4⋊C4—1181no—
451C2×C4⋊C4C22⋊D5911yescharacteristic
452C2×C4⋊C4C22⋊D5911yescharacteristic
453C2×C4⋊C4C22×D5911yescharacteristic
454C2×C4⋊C4C22×D5911yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1181no—
458C2×C22⋊C4—1181no—
459C2×C22⋊C4—1181no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4C22⋊D5911yescharacteristic
463C2×C22⋊C4C22⋊D5911yescharacteristic
464C2×C42—1181no—
465C2×C42C22×D5911yescharacteristic
466C2×C42C22×D5911yescharacteristic
467#107—2361no—
468#106—2361no—
469C4⋊C8—594no—
470C4⋊C8—1182no—
471#103—1182no—
472#103—1182no—
473#103—1182no—
474#103—1182no—
475#103—2361no—
476#103—2361no—
477#102—2361no—
478#102—2361no—
479C22⋊C8—1182no—
480C22⋊C8—1182no—
481#97—1182no—
482C4×C8—1182no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—1181no—
490#95—1181no—
491#95—1181no—
492C24—1181no—
493C24C2×C22⋊D5911yescharacteristic
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×D4—592no—
507C2×D4—1184no—
508C2×D4—1181no—
509C2×D4—1181no—
510C2×D4—1181no—
511C2×D4—1181no—
512C2×D4—1181no—
513C2×D4—4721no—
514C2×D4—4721no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—1181no—
526C22×C4—1181no—
527C22×C4—1181no—
528C22×C4—4721no—
529C22×C4—4721no—
530C22×C4—2362no—
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C2×C22⋊D5911yescharacteristic
533C22×C4C2×C22⋊D5911yescharacteristic
534C22×C4C2×C22⋊D5911yescharacteristic
535C22×C4C2×C22⋊D5911yescharacteristic
536C22×C4C23×D5911yescharacteristic
537SD16—2364no—
538SD16—2364no—
539C2×C8—592no—
540C2×C8—592no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C2×C8—1181no—
548C2×C8—1181no—
549C2×C8—1181no—
550C2×C8—1181no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—592no—
562C4⋊C4—1181no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—1181no—
567C4⋊C4—4721no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—1184no—
573C22⋊C4—4721no—
574C22⋊C4—4721no—
575C22⋊C4—4721no—
576C22⋊C4—2362no—
577C42—21no—
578C42—21no—
579C42—4721no—
580C42D4×D5912yes—
581C42#1174568712yes—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—1182no—
590C23—2361no—
591C23—2361no—
592C23—2361no—
593C23—2361no—
594C23—2361no—
595C23—2361no—
596C23C22×C22⋊D5911yescharacteristic
597Q8—41no—
598Q8—41no—
599Q8—41no—
600Q8—41no—
601Q8—41no—
602Q8—41no—
603Q8—41no—
604Q8—41no—
605D4—1182no—
606D4—1182no—
607D4—4724no—
608D4—2361no—
609D4—2361no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—1182no—
640C2×C4—4724no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4#1427369912yes—
650C2×C4#1427369912yes—
651C2×C4C2×D4×D5911yescharacteristic
652C2×C4#41×D5911yescharacteristic
653C2×C4#41×D5911yescharacteristic
654C2×C4C2×#1174568711yescharacteristic
655C2×C4#1427377211yescharacteristic
656C2×C4#1427377211yescharacteristic
657C8—1182no—
658C8—1182no—
659C8—2361no—
660C8—2361no—
661C22—41no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—4721no—
669C22—4721no—
670C22—4721no—
671C22—4721no—
672C22—2362no—
673C22—2362no—
674C22—2362no—
675C22C2×#1427369911yescharacteristic
676C22#1683790911yescharacteristic
677C22#1683796911yescharacteristic
678C22#1683821011yescharacteristic
679C22#1683821011yescharacteristic
680C22#1683821011yescharacteristic
681C22#1683821711yescharacteristic
682C4—22no—
683C4—22no—
684C4—41no—
685C4—41no—
686C4—41no—
687C4—81no—
688C4—81no—
689C4—81no—
690C4—81no—
691C4—4721no—
692C4—4721no—
693C4—2362no—
694C4#1683804911yescharacteristic
695C4#1683807011yescharacteristic
696C4#1683809911yescharacteristic
697C4#1683811611yescharacteristic
698C2—81no—
699C2—4722no—
700C2#2142751511yescharacteristic
701C2#2143373711yescharacteristic
702C2#2143378311yescharacteristic
703C2#2143430411yescharacteristic
704C2#2143434311yescharacteristic
705C2#2143515711yescharacteristic
706C2#2143520511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2621C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
hypercenter#2621D59
hypocenterC59#24666
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2621

Complements

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

NH ≅ G/Ntype
1. C2×#16837604C2semidirect
2. C2×#16837463C2semidirect
4. #21425296C2semidirect
5. #21425289C2semidirect
8. #21425020C2semidirect
9. #21424980C2semidirect
10. #21424953C2semidirect
11. #21424862C2semidirect
12. #21424789C2semidirect
13. #21424775C2semidirect
14. #21424103C2semidirect
15. C59×#2621C2semidirect
91. C4⋊(C59⋊C8)D4semidirect
347. #2621D59semidirect
414. C59#24666semidirect

Maximal subgroups

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

subgroupindex
C2×#168376042
C2×#168374632
#214267892
#214252962
#214252892
#214250972
#214250202
#214249802
#214249532
#214248622
#214247892
#214247752
#214241032
C59×#26212
#2466659