Finite Group Databasebeta

← #28646003

Subgroups — #28646003

Order 15104.

1004 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837685C211yesmaximal, characteristic, complemented
2C2×#16837403C211yesmaximal, characteristic
3#21427799C211yesmaximal, characteristic, complemented
4#21426937C211yesmaximal, characteristic
5#21425627C211yesmaximal, characteristic, complemented
6#21425480C211yesmaximal, characteristic, complemented
7#21425468C211yesmaximal, characteristic, complemented
8#21425230C211yesmaximal, characteristic, complemented
9#21424366C211yesmaximal, characteristic, complemented
10#21424348C211yesmaximal, characteristic, complemented
11#21424291C211yesmaximal, characteristic, complemented
12#21424278C211yesmaximal, characteristic, complemented
13#21424127C211yesmaximal, characteristic, complemented
14#21424099C211yesmaximal, characteristic, complemented
15C59×#1788C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C2×#14273726C2211yescharacteristic
18C2×#14273704—21no—
19C2×Q8×Dic59C2211yescharacteristic
20C2×Q8×Dic59C2211yescharacteristic
21C22×C4⋊Dic59C2211yescharacteristic
22#16837685—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273659C2211yescharacteristic
25C2×#14273659C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×Dic59⋊C8C2211yescharacteristic
28C2×Dic59⋊C8C2211yescharacteristic
29#16837403—24no—
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34#16837336—21no—
35#16837323—21no—
36#16837305—21no—
37#16837305—21no—
38#16837305C2211yescharacteristic
39#16837305C2211yescharacteristic
40#16837301C2211yescharacteristic
41#16837298C2211yescharacteristic
42#16837274—21no—
43#16837271C2211yescharacteristic
44#16837262—21no—
45#16837262C2211yescharacteristic
46C4×C22⋊Dic59—21no—
47C4×C22⋊Dic59C2211yescharacteristic
48#16837165C2211yescharacteristic
49#16837165C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837156C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×#41×C59C2211yescharacteristic
55C2×#103×C59C2211yescharacteristic
56C2×#103×C59C2211yescharacteristic
57C2×#102×C59C2211yescharacteristic
58C2×#102×C59C2211yescharacteristic
59C2×C22⋊C8×C59C2211yescharacteristic
60C59×#380C2211yescharacteristic
61C22×Dic118—21no—
62C23×Dic59—21no—
63C2×#11745664—22no—
64C2×#11745664—22no—
65C2×#11745664—41no—
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68#14273726—22no—
69#14273726—41no—
70#14273704—44no—
71Q8×Dic59—22no—
72Q8×Dic59—22no—
73Q8×Dic59—41no—
74Q8×Dic59—41no—
75C2×C4⋊Dic59—22no—
76C2×C4⋊Dic59—21no—
77C2×C4⋊Dic59—21no—
78C2×C4⋊Dic59—21no—
79C2×C4⋊Dic59—21no—
80C2×C4⋊Dic59—41no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×Dic59⋊C4—21no—
88C2×Dic59⋊C4—21no—
89C2×C22⋊Dic59—21no—
90C2×C22⋊Dic59—21no—
91C2×C22⋊Dic59—21no—
92C2×C22⋊Dic59—21no—
93C2×C22⋊Dic59—21no—
94C2×C22⋊Dic59D411yescharacteristic
95C2×C22⋊Dic59D411yescharacteristic
96C2×C4×Dic59—21no—
97C2×C4×Dic59—21no—
98C2×C4×Dic59C2311yescharacteristic
99C2×C4×Dic59C2311yescharacteristic
100#14273660—41no—
101#14273659—22no—
102#14273659—41no—
103#14273658—22no—
104Dic59⋊C8—22no—
105Dic59⋊C8—41no—
106#14273651—22no—
107#14273651D414yes—
108#14273648—22no—
109#14273648—22no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95—21no—
113C59⋊#95D411yescharacteristic
114C59⋊#95D411yescharacteristic
115C2×#41×C59—22no—
116C2×#41×C59—22no—
117C2×#41×C59—22no—
118C2×#41×C59—41no—
119C2×#41×C59—41no—
120C2×#41×C59Q814yescomplemented
121C22×Q8×C59C2311yescharacteristic
122C22×D4×C59—21no—
123C22×D4×C59C2311yescharacteristic
124C23×C4×C59—21no—
125C23×C4×C59C2311yescharacteristic
126C22×C8×C59C2311yescharacteristic
127C22×C8×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C22⋊C4×C59—21no—
131#103×C59—22no—
132#103×C59—22no—
133#102×C59—41no—
134#102×C59—41no—
135C22⋊C8×C59—22no—
136#95×C59—21no—
137C24×C59—21no—
138C24×C59C2×D411yescharacteristic
139#41×C59—28no—
140#41×C59—44no—
141#41×C59—44no—
142#41×C59—44no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59C2×D412yes—
147C2×Q8×C59C2×Q812yes—
148C2×Q8×C59#4112yes—
149C2×D4×C59—24no—
150C2×D4×C59—21no—
151C2×D4×C59—21no—
152C2×D4×C59—21no—
153C2×D4×C59—21no—
154C2×D4×C59—21no—
155C2×D4×C59—42no—
156C2×D4×C59—42no—
157C2×D4×C59C2×Q812yes—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—24no—
164C22×C4×C59—21no—
165C22×C4×C59—21no—
166C22×C4×C59—42no—
167C22×C4×C59—42no—
168C22×C4×C59C2×D411yescharacteristic
169C22×C4×C59C2×Q812yes—
170C22×C4×C59#4112yes—
171C22×C4×C59C2411yescharacteristic
172C22×Dic59—21no—
173C22×Dic59—21no—
174C22×Dic59—21no—
175C22×Dic59—21no—
176C22×Dic59—42no—
177C22×Dic59—42no—
178C22×Dic59—81no—
179C22×Dic59C2×D411yescharacteristic
180C22×Dic59C2×D411yescharacteristic
181C22×Dic59C2×D411yescharacteristic
182C22×Dic59C2×D411yescharacteristic
183C2×Dic118—42no—
184C2×Dic118—42no—
185C2×Dic118—81no—
186C2×C8×C59—21no—
187C2×C8×C59—21no—
188C2×C8×C59—21no—
189C2×C8×C59—21no—
190C2×C8×C59—21no—
191C2×C8×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C22⋊C4×C59—42no—
197C22⋊Dic59—22no—
198C22⋊Dic59—22no—
199C22⋊Dic59—42no—
200C22⋊Dic59—42no—
201C22⋊Dic59—81no—
202C22⋊Dic59—81no—
203C22⋊Dic59—81no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—42no—
212C4⋊Dic59—42no—
213C4⋊Dic59—42no—
214C4⋊Dic59—42no—
215C4⋊Dic59C2×D412yes—
216Dic59⋊C4—42no—
217Dic59⋊C4—42no—
218Dic59⋊C4—42no—
219Dic59⋊C4—81no—
220C4×Dic59—21no—
221C4×Dic59—21no—
222C4×Dic59—21no—
223C4×Dic59—21no—
224C4×Dic59—42no—
225C4×Dic59—42no—
226#11745664—44no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8C2×D412yes—
233C23×C59—21no—
234C23×C59—21no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—22no—
240C23×C59—41no—
241C23×C59—41no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59—41no—
246C23×C59C22⋊Q812yes—
247C23×C59C22×D411yescharacteristic
248Q8×C59—22no—
249Q8×C59—22no—
250Q8×C59—22no—
251Q8×C59C22⋊Q814yescomplemented
252D4×C59—22no—
253D4×C59—22no—
254D4×C59—48no—
255D4×C59—41no—
256D4×C59—41no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
259C2×C4×C59—21no—
260C2×C4×C59—22no—
261C2×C4×C59—21no—
262C2×C4×C59—22no—
263C2×C4×C59—22no—
264C2×C4×C59—22no—
265C2×C4×C59—22no—
266C2×C4×C59—48no—
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×C59C22⋊Q812yes—
274C2×C4×C59C22×D411yescharacteristic
275C2×C4×C59C22×Q811yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59C2×#4111yescharacteristic
278C2×C4×C59H(5,𝔽2)11yescharacteristic
279C2×C4×C59H(5,𝔽2)11yescharacteristic
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—21no—
283C2×Dic59—21no—
284C2×Dic59—21no—
285C2×Dic59—22no—
286C2×Dic59—21no—
287C2×Dic59—21no—
288C2×Dic59—21no—
289C2×Dic59—21no—
290C2×Dic59—21no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302C2×Dic59—84no—
303C2×Dic59AGL(1,ℤ/8)12yes—
304C2×Dic59#13712yes—
305Dic118—84no—
306C8×C59—41no—
307C8×C59—41no—
308C59⋊C8—22no—
309C59⋊C8—41no—
310#25967—591nomaximal, Sylow
311C22×C59—22no—
312C22×C59—22no—
313C22×C59—22no—
314C22×C59—41no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—42no—
319C22×C59—42no—
320C22×C59—42no—
321C22×C59—81no—
322C22×C59—81no—
323C22×C59—81no—
324C22×C59—81no—
325C22×C59C2×C22⋊Q811yescharacteristic
326C22×C59D4211yescharacteristic
327C22×C59#54611yescharacteristic
328C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
329C22×C59C2×#13711yescharacteristic
330C22×C59#57711yescharacteristic
331C22×C59#57711yescharacteristic
332C4×C59—22no—
333C4×C59—24no—
334C4×C59—81no—
335C4×C59—81no—
336C4×C59C2×C22⋊Q811yescharacteristic
337C4×C59#54311yescharacteristic
338C4×C59#54611yescharacteristic
339C4×C59#55111yescharacteristic
340Dic59—22no—
341Dic59—22no—
342Dic59—41no—
343Dic59—42no—
344Dic59—41no—
345Dic59—81no—
346Dic59—81no—
347Dic59—81no—
348C2×#475—591no—
349C2×#417—591no—
350#2440—591no—
351#2341—591no—
352#2094—591no—
353#2067—591no—
354#2065—591no—
355#2023—591no—
356#1865—591no—
357#1863—591no—
358#1853—591no—
359#1851—591no—
360#1809—591no—
361#1803—591no—
362#1788D5911yescharacteristic
363C2×C59—42no—
364C2×C59—82no—
365C2×C59#243711yescharacteristic
366C2×C59#307911yescharacteristic
367C2×C59#308411yescharacteristic
368C2×C59#326511yescharacteristic
369C2×C59#327811yescharacteristic
370C2×C59#331611yescharacteristic
371C2×C59#333211yescharacteristic
372C22×#41C2×D5911yescharacteristic
373C22×M16—591no—
374C2×C4⋊Q8—591no—
375C2×C22⋊Q8—1181no—
376C2×C4×Q8—591no—
377C2×C4×Q8—591no—
378C22×C4⋊C4—591no—
379#475—1184no—
380C2×#107—591no—
381C2×#106—591no—
382C2×#106—591no—
383C2×#106—591no—
384C2×C4⋊C8—591no—
385C2×C4⋊C8—591no—
386#417—1184no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#103C2×D5911yescharacteristic
390C2×#103C2×D5911yescharacteristic
391C2×#102—591no—
392C2×#102—591no—
393C2×#102C2×D5911yescharacteristic
394C2×#102C2×D5911yescharacteristic
395C2×C22⋊C8C2×D5911yescharacteristic
396#398—1181no—
397#395—1181no—
398#390—591no—
399#390—591no—
400#390—1181no—
401#390—1181no—
402#389—591no—
403#389—591no—
404#385—1181no—
405#384—591no—
406#380—591no—
407#380—1181no—
408#380C2×D5911yescharacteristic
409C4×C22⋊C4—591no—
410C4×C22⋊C4—1181no—
411#340—591no—
412#340—591no—
413#340—591no—
414#340—591no—
415#336—591no—
416#336—591no—
417C59#2596711yescharacteristic, complemented, Sylow
418C2×#41—22no—
419C2×#41—22no—
420C2×#41—22no—
421C2×#41—41no—
422C2×#41—41no—
423C2×#41Dic11814yescomplemented
424C22×Q8—1181no—
425C22×Q8C22×D5911yescharacteristic
426C22×D4—21no—
427C22×D4C22×D5911yescharacteristic
428C23×C4—21no—
429C23×C4—1181no—
430C23×C4C22×D5911yescharacteristic
431C2×M16—1182no—
432C2×M16—1182no—
433C2×M16—2361no—
434C22×C8—591no—
435C22×C8—591no—
436C22×C8C22×D5911yescharacteristic
437C22×C8C22×D5911yescharacteristic
438C4⋊Q8—1182no—
439C4⋊Q8—2361no—
440C22⋊Q8—2364no—
441C4×Q8—1182no—
442C4×Q8—1182no—
443C4×Q8—2361no—
444C4×Q8—2361no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4—591no—
448C2×C4⋊C4—591no—
449C2×C4⋊C4—1182no—
450C2×C4⋊C4—1181no—
451C2×C4⋊C4—1181no—
452C2×C4⋊C4—1181no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4—1181no—
455C2×C4⋊C4—1181no—
456C2×C4⋊C4—1181no—
457C2×C4⋊C4—1181no—
458C2×C4⋊C4—2361no—
459C2×C4⋊C4C22×D5911yescharacteristic
460C2×C4⋊C4C22×D5911yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—591no—
463C2×C22⋊C4—591no—
464C2×C22⋊C4—1181no—
465C2×C22⋊C4—1181no—
466C2×C22⋊C4—1181no—
467C2×C22⋊C4—1181no—
468C2×C22⋊C4—1181no—
469C2×C42—591no—
470C2×C42—591no—
471C2×C42—1181no—
472C2×C42—1181no—
473#107—2361no—
474#106—1182no—
475#106—1182no—
476#106—2361no—
477C4⋊C8—1182no—
478C4⋊C8—2361no—
479#103—22no—
480#103—22no—
481#103—594no—
482#103—1182no—
483#102—41no—
484#102—41no—
485#102—1182no—
486#102—1182no—
487C22⋊C8—22no—
488#95—21no—
489#95—591no—
490#95—591no—
491#95—1181no—
492#95—1181no—
493#95—1181no—
494C24—21no—
495C24D4×D5911yescharacteristic
496#41—28no—
497#41—44no—
498#41—44no—
499#41—44no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—4721no—
504C2×Q8—2362no—
505C2×Q8—2362no—
506C2×Q8C2×Dic11812yes—
507C2×Q8D4×D5912yes—
508C2×Q8#1174568712yes—
509C2×D4—24no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4C2×Dic11812yes—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—24no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—591no—
529C22×C4—591no—
530C22×C4—591no—
531C22×C4—591no—
532C22×C4—1181no—
533C22×C4—1181no—
534C22×C4—1181no—
535C22×C4—1181no—
536C22×C4—4721no—
537C22×C4—2362no—
538C22×C4—2362no—
539C22×C4C2×Dic11812yes—
540C22×C4D4×D5911yescharacteristic
541C22×C4#1174568712yes—
542C22×C4C23×D5911yescharacteristic
543M16—2364no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—592no—
551C2×C8—1181no—
552C2×C8—1181no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—592no—
561C4⋊C4—1181no—
562C4⋊C4—1181no—
563C4⋊C4—1181no—
564C4⋊C4—1181no—
565C4⋊C4—1181no—
566C4⋊C4—1181no—
567C4⋊C4—1181no—
568C4⋊C4—4721no—
569C4⋊C4—2362no—
570C4⋊C4—2362no—
571C4⋊C4—2362no—
572C4⋊C4—2362no—
573C4⋊C4—2362no—
574C4⋊C4—2362no—
575C4⋊C4—2362no—
576C22⋊C4—42no—
577C22⋊C4—1182no—
578C22⋊C4—1182no—
579C22⋊C4—4721no—
580C22⋊C4—4721no—
581C22⋊C4—4721no—
582C22⋊C4—2362no—
583C22⋊C4—2362no—
584C42—1181no—
585C42—1181no—
586C42—1181no—
587C42—1181no—
588C42—2362no—
589C42—2362no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23#1427370412yes—
604C23C2×D4×D5911yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—4724no—
609Q8#1427370414yescomplemented
610D4—22no—
611D4—22no—
612D4—48no—
613D4—41no—
614D4—41no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—48no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—592no—
632C2×C4—592no—
633C2×C4—1181no—
634C2×C4—1181no—
635C2×C4—1181no—
636C2×C4—1181no—
637C2×C4—1181no—
638C2×C4—1181no—
639C2×C4—1181no—
640C2×C4—1181no—
641C2×C4—1181no—
642C2×C4—1182no—
643C2×C4—1181no—
644C2×C4—4724no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4—2361no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4#1427370412yes—
657C2×C4C2×D4×D5911yescharacteristic
658C2×C4C22×Dic11811yescharacteristic
659C2×C4C2×#1174568711yescharacteristic
660C2×C4C2×#1174568711yescharacteristic
661C2×C4#1427377211yescharacteristic
662C2×C4#1427377211yescharacteristic
663C8—41no—
664C8—41no—
665C8—1182no—
666C8—2361no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22C2×#1427370411yescharacteristic
682C22#1683803411yescharacteristic
683C22#1683803911yescharacteristic
684C22AGL(1,ℤ/8)×D5911yescharacteristic
685C22#137×D5911yescharacteristic
686C22#1683820911yescharacteristic
687C22#1683820911yescharacteristic
688C4—22no—
689C4—24no—
690C4—81no—
691C4—81no—
692C4—1182no—
693C4—1182no—
694C4—4721no—
695C4—4721no—
696C4—4721no—
697C4—2361no—
698C4—2361no—
699C4—2362no—
700C4C2×#1427370411yescharacteristic
701C4#1683802811yescharacteristic
702C4#1683803911yescharacteristic
703C4#1683808311yescharacteristic
704C2—42no—
705C2—82no—
706C2#2142776211yescharacteristic
707C2#2143390711yescharacteristic
708C2#2143395611yescharacteristic
709C2#2143559411yescharacteristic
710C2#2143575511yescharacteristic
711C2#2143620011yescharacteristic
712C2#2143641611yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#1788C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
hypercenter#1788D59
hypocenterC59#25967
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1788

Complements

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

NH ≅ G/Ntype
1. C2×#16837685C2semidirect
3. #21427799C2semidirect
5. #21425627C2semidirect
6. #21425480C2semidirect
7. #21425468C2semidirect
8. #21425230C2semidirect
9. #21424366C2semidirect
10. #21424348C2semidirect
11. #21424291C2semidirect
12. #21424278C2semidirect
13. #21424127C2semidirect
14. #21424099C2semidirect
120. C2×#41×C59Q8semidirect
251. Q8×C59C22⋊Q8semidirect
417. C59#25967semidirect
423. C2×#41Dic118semidirect
609. Q8#14273704semidirect

Maximal subgroups

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

subgroupindex
C2×#168376852
C2×#168374032
#214277992
#214269372
#214256272
#214254802
#214254682
#214252302
#214243662
#214243482
#214242912
#214242782
#214241272
#214240992
C59×#17882
#2596759