Finite Group Databasebeta

← #29456235

Subgroups — #29456235

Order 15104.

2130 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×#16837955C211yesmaximal, characteristic, complemented
2C2×#41×Dic59C211yesmaximal, characteristic
3#21433916C214yesmaximal, complemented
4#21433907C214yesmaximal, complemented
5#21433898C214yesmaximal, complemented
6#21433890C214yesmaximal, complemented
7#21433880C218yesmaximal, complemented
8#21432686C211yesmaximal, characteristic, complemented
9#21432685C211yesmaximal, characteristic, complemented
10C2×#16837425C211yesmaximal, characteristic, complemented
11#21432615C211yesmaximal, characteristic
12C59×#2896C211yesmaximal, characteristic
13C22×#11745664C2211yescharacteristic
14#16837955—21no—
15#16837955—21no—
16#16837955—21no—
17#16837955—21no—
18#16837955C2214yes—
19#16837955C2214yescomplemented
20C2×#14273726C2212yescomplemented
21C2×#14273718C2212yescomplemented
22C2×#14273704—22no—
23#41×Dic59—21no—
24#41×Dic59—21no—
25#41×Dic59—22no—
26#41×Dic59C2214yes—
27#41×Dic59C2212yes—
28#41×Dic59C2212yes—
29C2×Q8×Dic59C2212yes—
30C2×C4×Dic118—22no—
31C2×D4×Dic59—22no—
32C2×D4×Dic59C2212yes—
33C2×#14273686—21no—
34C2×#14273686C2211yescharacteristic
35C2×#14273686C2211yescharacteristic
36C22×C4×Dic59—21no—
37C22×C4×Dic59C2211yescharacteristic
38#16837711C2218yescomplemented
39#16837707C2218yescomplemented
40#16837704C2218yescomplemented
41#16837700C2218yescomplemented
42#16837695C2218yescomplemented
43#16837690C2218yescomplemented
44#16837685C2218yescomplemented
45#16837680C2218yescomplemented
46#16837445C2214yes—
47#16837444C2214yes—
48#16837444C2214yescomplemented
49#16837442C2214yescomplemented
50#16837440C2214yescomplemented
51#16837438C2214yescomplemented
52#16837425C2214yes—
53#16837425C2212yescomplemented
54#16837425C2212yescomplemented
55C2×Dic59⋊C8C2214yescomplemented
56#16837411C2212yes—
57#16837407C2212yes—
58#16837403C2214yes—
59#16837398C2214yes—
60C22×#41×C59C2211yescharacteristic
61C22×M16×C59C2211yescharacteristic
62C2×#117×C59C2211yescharacteristic
63C59×#419C2212yes—
64C59×#418C2212yes—
65C59×#417C2214yes—
66C59×#416C2214yes—
67C22×Dic118—22no—
68C23×Dic59—22no—
69C23×Dic59D412yes—
70C2×#11745664—24no—
71C2×#11745664C2312yes—
72C2×#11745664C2312yes—
73C22×C59⋊C8C2312yes—
74#14273726—22no—
75#14273726—22no—
76#14273726C2314yes—
77#14273726C2314yes—
78#14273718—22no—
79#14273718—22no—
80#14273718C2314yes—
81#14273718C2314yes—
82#14273704—24no—
83#14273704—24no—
84#14273704—24no—
85#14273704—24no—
86Q8×Dic59—22no—
87Q8×Dic59—22no—
88Q8×Dic59C2314yes—
89Q8×Dic59C2314yes—
90C4×Dic118—24no—
91C4×Dic118—24no—
92C4×Dic118—24no—
93C4×Dic118—24no—
94D4×Dic59—24no—
95D4×Dic59—24no—
96D4×Dic59—24no—
97D4×Dic59—24no—
98D4×Dic59—22no—
99D4×Dic59—22no—
100D4×Dic59C2314yes—
101D4×Dic59C2314yes—
102#14273686—21no—
103#14273686—21no—
104#14273686—21no—
105#14273686—21no—
106#14273686—24no—
107#14273686—22no—
108#14273686—22no—
109#14273686C2312yes—
110#14273686C2312yes—
111#14273686C2312yes—
112#14273686C2312yes—
113C2×C4⋊Dic59—22no—
114C2×C4⋊Dic59—22no—
115C2×C4⋊Dic59C2312yes—
116C2×C4⋊Dic59C2312yes—
117C2×Dic59⋊C4—22no—
118C2×Dic59⋊C4—22no—
119C2×C22⋊Dic59—21no—
120C2×C22⋊Dic59—21no—
121C2×C22⋊Dic59—22no—
122C2×C4×Dic59—21no—
123C2×C4×Dic59—21no—
124C2×C4×Dic59—22no—
125C2×C4×Dic59—24no—
126C2×C4×Dic59—22no—
127C2×C4×Dic59—22no—
128C2×C4×Dic59D411yescharacteristic
129C2×C4×Dic59D411yescharacteristic
130C2×C4×Dic59D411yescharacteristic
131C2×C4×Dic59D411yescharacteristic
132C2×C4×Dic59D412yes—
133C2×C4×Dic59C2311yescharacteristic
134C2×C4×Dic59C2312yes—
135C2×C4×Dic59C2312yes—
136C2×C4×Dic59C2311yescharacteristic
137#14273661C2318yes—
138#14273660C2318yes—
139#14273659C2318yes—
140#14273658C2318yes—
141Dic59⋊C8C2318yes—
142Dic59⋊C8C2318yes—
143#14273651C2318yes—
144#14273648C2318yes—
145C2×#41×C59—21no—
146C2×#41×C59—21no—
147C2×#41×C59—24no—
148C2×#41×C59Q818yescomplemented
149C2×#41×C59C2312yes—
150C2×#41×C59C2312yes—
151C22×Q8×C59C2311yescharacteristic
152C22×D4×C59—21no—
153C22×D4×C59C2311yescharacteristic
154C23×C4×C59—21no—
155C23×C4×C59C2311yescharacteristic
156C2×M16×C59—24no—
157C2×M16×C59C2312yes—
158C2×M16×C59C2312yes—
159C22×C8×C59C2312yes—
160#117×C59—21no—
161#117×C59—21no—
162#117×C59C2312yes—
163#117×C59C2312yes—
164C2×C4⋊C4×C59C2312yes—
165C2×C22⋊C4×C59—21no—
166C2×C42×C59—21no—
167#103×C59C2318yes—
168#102×C59C2318yes—
169C24×C59—21no—
170C24×C59C2×D411yescharacteristic
171#41×C59—28no—
172#41×C59—28no—
173#41×C59—24no—
174#41×C59—24no—
175#41×C59C2×Q818yes—
176#41×C59C2×Q818yescomplemented
177C2×Q8×C59—21no—
178C2×Q8×C59—22no—
179C2×Q8×C59C2×Q814yescomplemented
180C2×Q8×C59C2412yes—
181C2×D4×C59—28no—
182C2×D4×C59—22no—
183C2×D4×C59—22no—
184C2×D4×C59—21no—
185C2×D4×C59—22no—
186C2×D4×C59C2×Q814yescomplemented
187C2×D4×C59C2412yes—
188C22×C4×C59—21no—
189C22×C4×C59—28no—
190C22×C4×C59—22no—
191C22×C4×C59—22no—
192C22×C4×C59—22no—
193C22×C4×C59C2×D411yescharacteristic
194C22×C4×C59C2×D411yescharacteristic
195C22×C4×C59C2×D411yescharacteristic
196C22×C4×C59C2×Q814yes—
197C22×C4×C59#4114yes—
198C22×C4×C59C2411yescharacteristic
199C22×C4×C59C2411yescharacteristic
200C22×C4×C59C2411yescharacteristic
201C22×Dic59—22no—
202C22×Dic59—22no—
203C22×Dic59—24no—
204C22×Dic59—24no—
205C22×Dic59—44no—
206C22×Dic59—48no—
207C22×Dic59C2×D412yes—
208C22×Dic59C2×D412yes—
209C22×Dic59C2×D412yes—
210C22×Dic59C2×D412yes—
211C22×Dic59C2×D412yes—
212C22×Dic59C2×D412yes—
213C2×Dic118—24no—
214C2×Dic118—24no—
215C2×Dic118—48no—
216M16×C59—24no—
217M16×C59—24no—
218C2×C8×C59—24no—
219C2×C8×C59C2414yes—
220C4⋊C4×C59—22no—
221C4⋊C4×C59C2414yes—
222C22⋊C4×C59—22no—
223C22⋊C4×C59—22no—
224C42×C59—22no—
225C42×C59—22no—
226C22⋊Dic59—22no—
227C22⋊Dic59—22no—
228C22⋊Dic59—22no—
229C22⋊Dic59—22no—
230C22⋊Dic59—24no—
231C22⋊Dic59—24no—
232C4⋊Dic59—22no—
233C4⋊Dic59—22no—
234C4⋊Dic59—24no—
235C4⋊Dic59—24no—
236C4⋊Dic59—24no—
237C4⋊Dic59—24no—
238C4⋊Dic59C2414yes—
239C4⋊Dic59C2414yes—
240Dic59⋊C4—24no—
241Dic59⋊C4—24no—
242Dic59⋊C4—24no—
243Dic59⋊C4—24no—
244C4×Dic59—22no—
245C4×Dic59—22no—
246C4×Dic59—22no—
247C4×Dic59—22no—
248C4×Dic59—24no—
249C4×Dic59—24no—
250C4×Dic59C2×D412yes—
251C4×Dic59C2×D411yescharacteristic
252C4×Dic59C2×D411yescharacteristic
253C4×Dic59C2×D412yes—
254C4×Dic59C2×D411yescharacteristic
255C4×Dic59C2×D411yescharacteristic
256C4×Dic59C2×D412yes—
257C4×Dic59C2×D412yes—
258C4×Dic59C2412yes—
259C4×Dic59C2412yes—
260#11745664—24no—
261#11745664—24no—
262C2×C59⋊C8—24no—
263C2×C59⋊C8C2414yes—
264C23×C59—24no—
265C23×C59—22no—
266C23×C59—42no—
267C23×C59—44no—
268C23×C59C22⋊Q814yes—
269C23×C59C22×D411yescharacteristic
270C23×C59C22×D411yescharacteristic
271C23×C59C22×D411yescharacteristic
272Q8×C59—24no—
273Q8×C59—22no—
274Q8×C59C22×Q814yes—
275D4×C59—28no—
276D4×C59—28no—
277D4×C59—24no—
278D4×C59—22no—
279D4×C59C22×Q814yes—
280C2×C4×C59—24no—
281C2×C4×C59—22no—
282C2×C4×C59—28no—
283C2×C4×C59—28no—
284C2×C4×C59—24no—
285C2×C4×C59—44no—
286C2×C4×C59C22⋊Q814yes—
287C2×C4×C59C22⋊Q814yes—
288C2×C4×C59C22⋊Q814yes—
289C2×C4×C59C22×D411yescharacteristic
290C2×C4×C59C22×D411yescharacteristic
291C2×C4×C59C22×D411yescharacteristic
292C2×C4×C59C22×Q812yes—
293C2×C4×C59C22×Q812yes—
294C2×C4×C59C22×Q812yes—
295C2×C4×C59C2×#4112yes—
296C2×C4×C59C2×#4112yes—
297C2×C4×C59C2×#4112yes—
298C2×C4×C59C2511yescharacteristic
299C2×Dic59—24no—
300C2×Dic59—24no—
301C2×Dic59—24no—
302C2×Dic59—24no—
303C2×Dic59—24no—
304C2×Dic59—42no—
305C2×Dic59—42no—
306C2×Dic59—42no—
307C2×Dic59—48no—
308C2×Dic59—44no—
309C2×Dic59—44no—
310C2×Dic59—48no—
311C2×Dic59C22×D412yes—
312C2×Dic59C22×D412yes—
313C2×Dic59C22×D412yes—
314C2×Dic59C22×D412yes—
315Dic118—48no—
316Dic118—48no—
317C8×C59—24no—
318C59⋊C8—24no—
319#60484—591nomaximal, Sylow
320C22×C59—22no—
321C22×C59—22no—
322C22×C59—22no—
323C22×C59—24no—
324C22×C59—44no—
325C22×C59—48no—
326C22×C59—44no—
327C22×C59C2×C22⋊Q812yes—
328C22×C59C2×C22⋊Q812yes—
329C22×C59C2×C22⋊Q812yes—
330C22×C59C23×D411yescharacteristic
331C4×C59—24no—
332C4×C59—44no—
333C4×C59C2×C22⋊Q812yes—
334C4×C59C2×C22⋊Q812yes—
335C4×C59C2×C22⋊Q812yes—
336C4×C59C23×Q811yescharacteristic
337C4×C59C22×#4111yescharacteristic
338Dic59—22no—
339Dic59—22no—
340Dic59—22no—
341Dic59—44no—
342Dic59—44no—
343Dic59#57514yes—
344C2×#533—591no—
345C2×C4×#41—591no—
346#3080—594no—
347#3079—594no—
348#3078—594no—
349#3077—594no—
350#3076—598no—
351#2911—591no—
352#2911—591no—
353C2×#423—591no—
354#2896—591no—
355#2896D5911yescharacteristic
356C2×C59—22no—
357C2×C59—22no—
358C2×C59—22no—
359C2×C59—44no—
360C2×C59C22×C22⋊Q811yescharacteristic
361C2×C59C2×#57512yes—
362C22×#41C2×D5911yescharacteristic
363C22×M16—591no—
364C22×M16C2×D5911yescharacteristic
365#533—594no—
366#533—594no—
367#533—1181no—
368#533—1181no—
369#533—1181no—
370#533—1181no—
371C2×C4⋊Q8—592no—
372C2×#125—592no—
373C2×C22⋊Q8—1182no—
374C4×#41—594no—
375C4×#41—592no—
376C4×#41—592no—
377C4×#41—1182no—
378C4×#41—1181no—
379C4×#41—1181no—
380C2×C4×Q8—592no—
381C2×C4×Q8—1182no—
382C2×C4×D4—592no—
383C2×C4×D4—1182no—
384C2×#117—591no—
385C2×#117—591no—
386C2×#117—1181no—
387C2×#117C2×D5911yescharacteristic
388C22×C42—591no—
389C22×C42—1181no—
390#479—598no—
391#479—598no—
392#478—598no—
393#478—598no—
394#477—598no—
395#476—598no—
396#475—598no—
397#474—598no—
398#428—594no—
399#428—594no—
400#428—594no—
401#428—594no—
402#427—594no—
403#427—594no—
404#423—594no—
405#423—592no—
406#423—592no—
407C2×C4⋊C8—594no—
408#419—592no—
409#419C2×D5912yes—
410#418—592no—
411#418C2×D5912yes—
412#417—594no—
413#417C2×D5914yes—
414#416—594no—
415#416C2×D5914yes—
416C59#6048411yescharacteristic, complemented, Sylow
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—24no—
420C2×#41Dic11818yescomplemented
421C2×#41C22×D5912yes—
422C2×#41C22×D5912yes—
423C22×Q8—1182no—
424C22×Q8C22×D5911yescharacteristic
425C22×D4—21no—
426C22×D4C22×D5911yescharacteristic
427C23×C4—21no—
428C23×C4—592no—
429C23×C4—1182no—
430C23×C4C22×D5911yescharacteristic
431C2×M16—24no—
432C2×M16—592no—
433C2×M16—592no—
434C2×M16—1184no—
435C2×M16C22×D5912yes—
436C2×M16C22×D5912yes—
437C22×C8—592no—
438C22×C8C22×D5912yes—
439C4⋊Q8—594no—
440C4⋊Q8—594no—
441C4⋊Q8—1182no—
442C4⋊Q8—1182no—
443#125—594no—
444#125—594no—
445#125—1182no—
446#125—1182no—
447C22⋊Q8—1184no—
448C22⋊Q8—1184no—
449C22⋊Q8—1184no—
450C22⋊Q8—1184no—
451C4×Q8—594no—
452C4×Q8—594no—
453C4×Q8—1184no—
454C4×Q8—1184no—
455C4×Q8—1184no—
456C4×Q8—1184no—
457C4×Q8—1182no—
458C4×Q8—1182no—
459C4×D4—594no—
460C4×D4—594no—
461C4×D4—1182no—
462C4×D4—1182no—
463C4×D4—1184no—
464C4×D4—1184no—
465C4×D4—1184no—
466C4×D4—1184no—
467#117—21no—
468#117—21no—
469#117—592no—
470#117—592no—
471#117—592no—
472#117—592no—
473#117—1182no—
474#117—1182no—
475#117—1184no—
476#117—1181no—
477#117—1181no—
478#117—1181no—
479#117—1181no—
480#117C22×D5912yes—
481#117C22×D5912yes—
482C2×C4⋊C4—592no—
483C2×C4⋊C4—592no—
484C2×C4⋊C4—1182no—
485C2×C4⋊C4—1182no—
486C2×C4⋊C4—1182no—
487C2×C4⋊C4—1182no—
488C2×C4⋊C4C22×D5912yes—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—1182no—
491C2×C22⋊C4—1181no—
492C2×C22⋊C4—1181no—
493C2×C42—21no—
494C2×C42—591no—
495C2×C42—592no—
496C2×C42—591no—
497C2×C42—591no—
498C2×C42—591no—
499C2×C42—592no—
500C2×C42—591no—
501C2×C42—591no—
502C2×C42—592no—
503C2×C42—1182no—
504C2×C42—1182no—
505C2×C42—1184no—
506C2×C42—1182no—
507C2×C42—1181no—
508C2×C42—1181no—
509#107—598no—
510#107—598no—
511#106—598no—
512#106—598no—
513C4⋊C8—598no—
514C4⋊C8—598no—
515#103—598no—
516#103C22×D5918yes—
517#102—598no—
518#102C22×D5918yes—
519C24—21no—
520C24D4×D5911yescharacteristic
521#41—28no—
522#41—28no—
523#41—24no—
524#41—24no—
525#41C2×Dic11818yes—
526#41C2×Dic11818yescomplemented
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—1184no—
530C2×Q8—1184no—
531C2×Q8—2368no—
532C2×Q8C2×Dic11814yescomplemented
533C2×Q8C23×D5912yes—
534C2×D4—28no—
535C2×D4—22no—
536C2×D4—22no—
537C2×D4—21no—
538C2×D4—22no—
539C2×D4C2×Dic11814yescomplemented
540C2×D4C23×D5912yes—
541C22×C4—21no—
542C22×C4—28no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—592no—
547C22×C4—592no—
548C22×C4—592no—
549C22×C4—592no—
550C22×C4—592no—
551C22×C4—592no—
552C22×C4—1184no—
553C22×C4—1184no—
554C22×C4—1182no—
555C22×C4—1182no—
556C22×C4—2364no—
557C22×C4—2368no—
558C22×C4C2×Dic11814yes—
559C22×C4D4×D5911yescharacteristic
560C22×C4D4×D5911yescharacteristic
561C22×C4D4×D5911yescharacteristic
562C22×C4#1174568714yes—
563C22×C4C23×D5911yescharacteristic
564C22×C4C23×D5911yescharacteristic
565C22×C4C23×D5911yescharacteristic
566M16—24no—
567M16—24no—
568M16—1184no—
569M16—1184no—
570C2×C8—24no—
571C2×C8—594no—
572C2×C8—1184no—
573C2×C8C23×D5914yes—
574C4⋊C4—22no—
575C4⋊C4—594no—
576C4⋊C4—594no—
577C4⋊C4—1184no—
578C4⋊C4—1184no—
579C4⋊C4—1184no—
580C4⋊C4—1184no—
581C4⋊C4—1184no—
582C4⋊C4—1184no—
583C4⋊C4—1184no—
584C4⋊C4—1184no—
585C4⋊C4—1182no—
586C4⋊C4—1182no—
587C4⋊C4C23×D5914yes—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—1184no—
591C22⋊C4—1184no—
592C22⋊C4—1182no—
593C22⋊C4—1182no—
594C22⋊C4—1182no—
595C22⋊C4—1182no—
596C42—22no—
597C42—22no—
598C42—591no—
599C42—591no—
600C42—591no—
601C42—591no—
602C42—592no—
603C42—592no—
604C42—592no—
605C42—592no—
606C42—592no—
607C42—592no—
608C42—1184no—
609C42—1184no—
610C42—1182no—
611C42—1182no—
612C42—1182no—
613C42—1182no—
614C23—24no—
615C23—22no—
616C23—42no—
617C23—44no—
618C23#1427370414yes—
619C23C2×D4×D5911yescharacteristic
620C23C2×D4×D5911yescharacteristic
621C23C2×D4×D5911yescharacteristic
622Q8—24no—
623Q8—22no—
624Q8—2368no—
625Q8—2368no—
626Q8C22×Dic11814yes—
627D4—28no—
628D4—28no—
629D4—24no—
630D4—22no—
631D4C22×Dic11814yes—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—28no—
635C2×C4—28no—
636C2×C4—24no—
637C2×C4—44no—
638C2×C4—592no—
639C2×C4—592no—
640C2×C4—592no—
641C2×C4—592no—
642C2×C4—1184no—
643C2×C4—1184no—
644C2×C4—1184no—
645C2×C4—1184no—
646C2×C4—1184no—
647C2×C4—2368no—
648C2×C4—2362no—
649C2×C4—2362no—
650C2×C4—2362no—
651C2×C4—2368no—
652C2×C4—2364no—
653C2×C4—2364no—
654C2×C4#1427370414yes—
655C2×C4#1427370414yes—
656C2×C4#1427370414yes—
657C2×C4C2×D4×D5911yescharacteristic
658C2×C4C2×D4×D5911yescharacteristic
659C2×C4C2×D4×D5911yescharacteristic
660C2×C4C22×Dic11812yes—
661C2×C4C22×Dic11812yes—
662C2×C4C22×Dic11812yes—
663C2×C4C2×#1174568712yes—
664C2×C4C2×#1174568712yes—
665C2×C4C2×#1174568712yes—
666C2×C4C24×D5911yescharacteristic
667C8—24no—
668C8—1184no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—24no—
673C22—44no—
674C22—48no—
675C22—44no—
676C22C2×#1427370412yes—
677C22C2×#1427370412yes—
678C22C2×#1427370412yes—
679C22C22×D4×D5911yescharacteristic
680C4—24no—
681C4—44no—
682C4—594no—
683C4—1182no—
684C4—1182no—
685C4—1182no—
686C4—2364no—
687C4—2364no—
688C4C2×#1427370412yes—
689C4C2×#1427370412yes—
690C4C2×#1427370412yes—
691C4C23×Dic11811yescharacteristic
692C4C22×#1174568711yescharacteristic
693C2—22no—
694C2—22no—
695C2—22no—
696C2—44no—
697C2C22×#1427370411yescharacteristic
698C2#575×D5912yes—
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2896C2
socleC22×C59C23×D4
prime radicalC22×#41×C59C22
hypercenter#2896D59
hypocenterC59#60484
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #2896

Complements

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

NH ≅ G/Ntype
1. C2×#16837955C2semidirect
3. #21433916C2semidirect
4. #21433907C2semidirect
5. #21433898C2semidirect
6. #21433890C2semidirect
7. #21433880C2semidirect
8. #21432686C2semidirect
9. #21432685C2semidirect
10. C2×#16837425C2semidirect
19. #16837955C22semidirect
20. C2×#14273726C22semidirect
21. C2×#14273718C22semidirect
38. #16837711C22semidirect
39. #16837707C22semidirect
40. #16837704C22semidirect
41. #16837700C22semidirect
42. #16837695C22semidirect
43. #16837690C22semidirect
44. #16837685C22semidirect
45. #16837680C22semidirect
48. #16837444C22semidirect
49. #16837442C22semidirect
50. #16837440C22semidirect
51. #16837438C22semidirect
53. #16837425C22semidirect
54. #16837425C22semidirect
55. C2×Dic59⋊C8C22semidirect
148. C2×#41×C59Q8semidirect
176. #41×C59C2×Q8semidirect
179. C2×Q8×C59C2×Q8semidirect
186. C2×D4×C59C2×Q8semidirect
416. C59#60484semidirect
420. C2×#41Dic118semidirect
526. #41C2×Dic118semidirect
532. C2×Q8C2×Dic118semidirect
539. C2×D4C2×Dic118semidirect

Maximal subgroups

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

subgroupindex
C2×#168379552
C2×#41×Dic592
#214339162
#214339072
#214338982
#214338902
#214338802
#214326862
#214326852
C2×#168374252
#214326152
C59×#28962
#6048459