Finite Group Databasebeta

← #29452323

Subgroups — #29452323

Order 15104.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838167C211yesmaximal, characteristic
2C2×#131×D59C211yesmaximal, characteristic
3#21437295C211yesmaximal, characteristic
4#21432665C213yesmaximal, complemented
5#21432664C211yesmaximal, characteristic, complemented
6#21432663C213yesmaximal, complemented
7#21432663C213yesmaximal, complemented
8#21432662C211yesmaximal, characteristic, complemented
9#21432662C211yesmaximal, characteristic, complemented
10#21432661C213yesmaximal, complemented
11#21432658C213yesmaximal, complemented
12#21432657C213yesmaximal, complemented
13C2×#16837427C213yesmaximal, complemented
14#424×D59C213yesmaximal, complemented
15C59×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D59C2211yescharacteristic
17#16838167—28no—
18C2×#14273735C2213yes—
19C2×#14273735C2213yes—
20C2×#14273734C2211yescharacteristic
21C2×#14273734C2211yescharacteristic
22C2×#14273733C2213yes—
23C2×#14273733C2213yes—
24#131×D59—28no—
25C22×#11745659C2213yes—
26C2×M16×D59C2213yes—
27C2×M16×D59C2213yes—
28C22×C8×D59C2213yes—
29#16837884C411yescharacteristic
30#16837884C411yescharacteristic
31#16837881C413yes—
32#16837881C413yes—
33#16837878C411yescharacteristic
34#16837878C411yescharacteristic
35#16837874C413yes—
36#16837874C413yes—
37#41×Dic59C2211yescharacteristic
38C4×#11745685C2213yes—
39#16837870C2213yes—
40C2×#14273684C2213yes—
41#117×D59C2213yes—
42#16837430C2213yescomplemented
43#16837430C2213yescomplemented
44#16837429C2213yescomplemented
45#16837429C2213yescomplemented
46#16837428C2213yescomplemented
47#16837428C2213yescomplemented
48#16837427C2213yes—
49#16837427C2216yes—
50#16837427C2211yescharacteristic
51#16837427C2213yes—
52#16837427C2213yes—
53#16837427C2213yescomplemented
54#16837427C2213yescomplemented
55#16837427C2213yescomplemented
56#16837427C2213yescomplemented
57#16837427C2216yescomplemented
58#16837427C2216yescomplemented
59#16837426C2213yescomplemented
60#16837425C2213yescomplemented
61#16837425C2213yescomplemented
62#16837424C2216yescomplemented
63#16837424C2216yescomplemented
64C2×C4⋊(C59⋊C8)C2213yescomplemented
65C2×Dic59⋊C8C2213yescomplemented
66C2×Dic59⋊C8C2213yescomplemented
67C4⋊C8×D59C2216yescomplemented
68C4⋊C8×D59C2216yescomplemented
69C2×#131×C59C2211yescharacteristic
70C2×#131×C59C2211yescharacteristic
71C4×#41×C59C2211yescharacteristic
72C59×#424C2213yescomplemented
73C59×#424C2213yescomplemented
74C59×#423C2213yescomplemented
75C2×C4⋊C8×C59C2213yescomplemented
76C2×#11745689C2×C411yescharacteristic
77C2×#11745685C2313yes—
78C2×#11745687C2×C413yes—
79#41×D59D418yes—
80#41×D59Q818yes—
81C2×Q8×D59C2×C411yescharacteristic
82C2×D4×D59C2×C413yes—
83C22×C4×D59C2313yes—
84#14273735—212no—
85#14273735—212no—
86#14273734—24no—
87#14273734—24no—
88#14273733—212no—
89#14273733—212no—
90C2×#11745664C2313yes—
91C2×#11745664C2313yes—
92C2×#11745659—212no—
93C2×#11745659C2313yes—
94C2×#11745659C2316yes—
95C2×#11745659C2311yescharacteristic
96C2×#11745659C2313yes—
97C2×#11745659C2313yes—
98M16×D59—212no—
99M16×D59—212no—
100C22×C59⋊C8C2313yes—
101C22×C59⋊C8C2313yes—
102C2×C8×D59—212no—
103C2×C8×D59C2311yescharacteristic
104C2×C8×D59C2313yes—
105C2×C8×D59C2313yes—
106C2×C8×D59C2313yes—
107C2×C8×D59C2316yes—
108Q8×Dic59C2×C411yescharacteristic
109Q8×Dic59C2×C411yescharacteristic
110C4×Dic118C2×C413yes—
111C4×Dic118C2×C413yes—
112#14273692C2×C413yes—
113#14273692C2×C413yes—
114C4×D236C2×C413yes—
115C4×D236C2×C413yes—
116D4×Dic59C2×C413yes—
117D4×Dic59C2×C413yes—
118#14273689C2×C413yes—
119#14273689C2×C413yes—
120C4×C22⋊D59C2×C416yes—
121C4×C22⋊D59C2×C416yes—
122(C22⋊D59)⋊C4C2×C416yes—
123(C22⋊D59)⋊C4C2×C416yes—
124#14273686C2313yes—
125#14273685C2×C413yes—
126#14273685C2×C413yes—
127#14273684C2×C413yes—
128#14273684C2×C413yes—
129#14273684C2×C413yes—
130#14273684C2×C413yes—
131#14273684C2313yes—
132#14273684C2311yescharacteristic
133#14273684C2313yes—
134#14273684C2313yes—
135#14273683C2×C416yes—
136C2×Dic59⋊C4C2×C413yes—
137C2×Dic59⋊C4C2×C413yes—
138C4⋊C4×D59C2×C413yes—
139C4⋊C4×D59C2×C413yes—
140C2×(C2×D59)⋊C4C2×C413yes—
141C2×(C2×D59)⋊C4C2×C413yes—
142C22⋊C4×D59C2×C416yes—
143C2×C4×Dic59C2313yes—
144C42×D59C2316yes—
145C4⋊(C59⋊C8)C2313yes—
146C4⋊(C59⋊C8)C2316yes—
147C4⋊(C59⋊C8)C2311yescharacteristic
148C4⋊(C59⋊C8)C2313yes—
149C4⋊(C59⋊C8)C2313yes—
150Dic59⋊C8C2313yes—
151Dic59⋊C8C2313yes—
152Dic59⋊C8C2316yes—
153Dic59⋊C8C2316yes—
154Dic59⋊C8C2311yescharacteristic
155Dic59⋊C8C2311yescharacteristic
156Dic59⋊C8C2313yes—
157Dic59⋊C8C2313yes—
158Dic59⋊C8C2313yes—
159Dic59⋊C8C2313yes—
160C2×#41×C59C2311yescharacteristic
161#131×C59—24no—
162#131×C59—24no—
163C2×M16×C59C2313yes—
164C2×M16×C59C2313yes—
165C22×C8×C59C2313yes—
166C22×C8×C59C2313yes—
167C4×Q8×C59C2×C411yescharacteristic
168C4×Q8×C59C2×C411yescharacteristic
169C4×D4×C59C2×C413yes—
170C4×D4×C59C2×C413yes—
171#117×C59C2313yes—
172C2×C42×C59C2313yes—
173C4⋊C8×C59C2313yes—
174C4⋊C8×C59C2316yes—
175C4⋊C8×C59C2313yes—
176C4⋊C8×C59C2311yescharacteristic
177C4⋊C8×C59C2313yes—
178C23×D59C22×C413yes—
179#41×C59C2×D414yes—
180#41×C59C2×Q814yes—
181C2×Q8×C59C22×C411yescharacteristic
182C2×D4×C59C22×C413yes—
183C22×C4×C59C22×C413yes—
184C22×C4×C59C22×C413yes—
185C22×C4×C59C2413yes—
186C2×C22⋊D59C22×C416yes—
187C22×Dic59C22×C413yes—
188C22×Dic59C22×C413yes—
189C22×Dic59C22×C413yes—
190#11745689C4⋊C418yes—
191Q8×D59C4⋊C418yes—
192#11745687C4⋊C4124yes—
193D4×D59C4⋊C4124yes—
194#11745685C2×D4112yes—
195#11745685C2×Q8112yes—
196C2×D236C22×C413yes—
197C2×C4×D59C22×C416yes—
198C2×C4×D59C22×C416yes—
199C2×C4×D59C22×C413yes—
200C2×C4×D59C22×C413yes—
201C2×C4×D59C2×D4112yes—
202C2×C4×D59C2×Q8112yes—
203C2×C4×D59C2413yes—
204C2×C4×D59C2411yescharacteristic
205C2×Dic118C22×C413yes—
206M16×C59—26no—
207M16×C59—26no—
208C2×C8×C59—26no—
209C2×C8×C59—26no—
210C2×C8×C59C2411yescharacteristic
211C2×C8×C59C2411yescharacteristic
212C2×C8×C59C2413yes—
213C2×C8×C59C2413yes—
214C4⋊C4×C59C22×C413yes—
215C4⋊C4×C59C22×C413yes—
216C22⋊C4×C59C22×C416yes—
217C42×C59C22×C413yes—
218C42×C59C22×C413yes—
219C42×C59C2411yescharacteristic
220C42×C59C2413yes—
221C22⋊Dic59C22×C416yes—
222(C2×D59)⋊C4C22×C413yes—
223(C2×D59)⋊C4C22×C413yes—
224(C2×D59)⋊C4C22×C411yescharacteristic
225(C2×D59)⋊C4C22×C411yescharacteristic
226(C2×D59)⋊C4C22×C413yes—
227(C2×D59)⋊C4C22×C413yes—
228(C2×D59)⋊C4C22×C413yes—
229(C2×D59)⋊C4C22×C413yes—
230C4⋊Dic59C22×C413yes—
231C4⋊Dic59C22×C413yes—
232Dic59⋊C4C22×C413yes—
233Dic59⋊C4C22×C413yes—
234Dic59⋊C4C22×C411yescharacteristic
235Dic59⋊C4C22×C411yescharacteristic
236Dic59⋊C4C22×C413yes—
237Dic59⋊C4C22×C413yes—
238Dic59⋊C4C22×C413yes—
239Dic59⋊C4C22×C413yes—
240C4×Dic59C22×C416yes—
241C4×Dic59C22×C416yes—
242C4×Dic59C22×C413yes—
243C4×Dic59C22×C413yes—
244C4×Dic59C2413yes—
245C4×Dic59C2411yescharacteristic
246#11745664—26no—
247#11745664—26no—
248C2×C59⋊C8—26no—
249C2×C59⋊C8—26no—
250C2×C59⋊C8C2411yescharacteristic
251C2×C59⋊C8C2413yes—
252C2×C59⋊C8C2413yes—
253C2×C59⋊C8C2411yescharacteristic
254#11745659—26no—
255#11745659—212no—
256#11745659—22no—
257#11745659—26no—
258#11745659—26no—
259C8×D59—22no—
260C8×D59—26no—
261C8×D59—26no—
262C8×D59—26no—
263C8×D59—212no—
264C23×C59C23×C413yes—
265C22×D59—43no—
266C22×D59—43no—
267C22×D59C2×C4⋊C4112yes—
268C22×D59C23×C411yescharacteristic
269C22×D59C23×C413yes—
270Q8×C59C2×C4⋊C414yes—
271D4×C59C2×C4⋊C4112yes—
272C2×C4×C59—43no—
273C2×C4×C59—43no—
274C2×C4×C59C23×C413yes—
275C2×C4×C59C23×C413yes—
276C2×C4×C59C23×C411yescharacteristic
277C2×C4×C59C23×C411yescharacteristic
278C2×C4×C59C23×C413yes—
279C2×C4×C59C22×D416yes—
280C2×C4×C59C22×Q816yes—
281C2×C4×C59C2511yescharacteristic
282C22⋊D59C2×C4⋊C4124yes—
283C2×Dic59—43no—
284C2×Dic59—43no—
285C2×Dic59C2×C4⋊C4112yes—
286C2×Dic59C23×C411yescharacteristic
287C2×Dic59C23×C411yescharacteristic
288C2×Dic59C23×C413yes—
289C2×Dic59C23×C413yes—
290C2×Dic59C23×C413yes—
291C2×Dic59C23×C411yescharacteristic
292D236C2×C4⋊C4112yes—
293C4×D59—46no—
294C4×D59—46no—
295C4×D59C2×C4⋊C4112yes—
296C4×D59C2×C4⋊C4112yes—
297C4×D59C22×D412yes—
298C4×D59C22×D416yes—
299C4×D59C22×Q812yes—
300C4×D59C22×Q816yes—
301Dic118C2×C4⋊C4112yes—
302C8×C59—21no—
303C8×C59—23no—
304C8×C59—23no—
305C8×C59—21no—
306C59⋊C8—21no—
307C59⋊C8—23no—
308C59⋊C8—23no—
309C59⋊C8—21no—
310#60100—591nomaximal, Sylow
311C22×C59—23no—
312C22×C59—23no—
313C22×C59C22×C4⋊C416yes—
314C22×C59C24×C411yescharacteristic
315C2×D59—23no—
316C2×D59—23no—
317C2×D59—21no—
318C2×D59—21no—
319C2×D59—412no—
320C2×D59C22×C4⋊C412yes—
321C2×D59C22×C4⋊C416yes—
322C4×C59—23no—
323C4×C59—23no—
324C4×C59—21no—
325C4×C59—21no—
326C4×C59C22×C4⋊C416yes—
327C4×C59C23×D411yescharacteristic
328C4×C59C23×Q811yescharacteristic
329Dic59—23no—
330Dic59—23no—
331Dic59—21no—
332Dic59—21no—
333Dic59C22×C4⋊C416yes—
334Dic59C22×C4⋊C412yes—
335C2×#568—591no—
336C22×#131—591no—
337#3428—591no—
338#2906—593no—
339#2906—593no—
340#2906—593no—
341#2906—593no—
342#2906—591no—
343#2906—591no—
344#2906—591no—
345#2906D5911yescharacteristic, complemented
346#2905—593no—
347#2905—593no—
348C2×#424—593no—
349C2×#424—593no—
350C2×C59—26no—
351C2×C59C23×C4⋊C411yescharacteristic
352C2×C59#357311yescharacteristic
353C2×C59#357311yescharacteristic
354D59—22no—
355D59—26no—
356C22×#41—591no—
357#568—1188no—
358C2×#131—591no—
359C2×#131—591no—
360C2×#131—593no—
361C2×#131—593no—
362C2×#131—593no—
363C2×#131—593no—
364C2×#131—1188no—
365C2×#131C2×D5911yescharacteristic
366C2×#131C2×D5911yescharacteristic
367C22×M16—593no—
368C22×M16—593no—
369C22×M16—593no—
370C23×C8—593no—
371#520—591no—
372#520—591no—
373#520—593no—
374#520—593no—
375#519—591no—
376#519—591no—
377#518—593no—
378#518—593no—
379C4×#41—591no—
380C4×#41—593no—
381C4×#41—593no—
382C4×#41C2×D5911yescharacteristic
383C2×#117—593no—
384C2×#117—593no—
385#424—593no—
386#424—593no—
387#424—593no—
388#424—593no—
389#424—593no—
390#424—593no—
391#424—593no—
392#424—591no—
393#424—596no—
394#424—593no—
395#424—593no—
396#424—593no—
397#424—593no—
398#424—593no—
399#424—593no—
400#424—596no—
401#424—596no—
402#424C2×D5913yescomplemented
403#424C2×D5913yescomplemented
404#423—593no—
405#423—593no—
406#423—593no—
407#423—596no—
408#423—596no—
409#423C2×D5913yescomplemented
410C2×C4⋊C8—593no—
411C2×C4⋊C8—593no—
412C2×C4⋊C8—593no—
413C2×C4⋊C8—596no—
414C2×C4⋊C8—596no—
415C2×C4⋊C8C2×D5913yescomplemented
416C59#6010011yescharacteristic, complemented, Sylow
417C2×#41—598no—
418C2×#41—598no—
419C2×#41—591no—
420C2×#41—593no—
421C2×#41—593no—
422C2×#41C22×D5911yescharacteristic
423C22×Q8—591no—
424C22×D4—593no—
425C23×C4—593no—
426#131—24no—
427#131—24no—
428#131—11812no—
429#131—11812no—
430#131—11812no—
431#131—11812no—
432#131—1184no—
433#131—1184no—
434C2×M16—593no—
435C2×M16—593no—
436C2×M16—593no—
437C2×M16—591no—
438C2×M16—596no—
439C2×M16—593no—
440C2×M16—593no—
441C2×M16—11812no—
442C2×M16—11812no—
443C2×M16—11812no—
444C2×M16C22×D5913yes—
445C2×M16C22×D5913yes—
446C22×C8—593no—
447C22×C8—593no—
448C22×C8—591no—
449C22×C8—593no—
450C22×C8—593no—
451C22×C8—593no—
452C22×C8—596no—
453C22×C8—11812no—
454C22×C8C22×D5913yes—
455C22×C8C22×D5913yes—
456C4×Q8—591no—
457C4×Q8—591no—
458C4×Q8—593no—
459C4×Q8—593no—
460C4×Q8—593no—
461C4×Q8—593no—
462C4×Q8C4×D5911yescharacteristic
463C4×Q8C4×D5911yescharacteristic
464C4×D4—593no—
465C4×D4—593no—
466C4×D4—596no—
467C4×D4—596no—
468C4×D4—593no—
469C4×D4—593no—
470C4×D4—596no—
471C4×D4—596no—
472C4×D4—593no—
473C4×D4—593no—
474C4×D4C4×D5913yes—
475C4×D4C4×D5913yes—
476#117—593no—
477#117—593no—
478#117—593no—
479#117—596no—
480#117—593no—
481#117—593no—
482#117—593no—
483#117—593no—
484#117—593no—
485#117—591no—
486#117—593no—
487#117—593no—
488#117C22×D5913yes—
489C2×C4⋊C4—593no—
490C2×C4⋊C4—593no—
491C2×C4⋊C4—593no—
492C2×C4⋊C4—593no—
493C2×C22⋊C4—593no—
494C2×C22⋊C4—593no—
495C2×C22⋊C4—596no—
496C2×C42—593no—
497C2×C42—596no—
498C2×C42C22×D5913yes—
499C4⋊C8—593no—
500C4⋊C8—591no—
501C4⋊C8—593no—
502C4⋊C8—591no—
503C4⋊C8—596no—
504C4⋊C8—596no—
505C4⋊C8—593no—
506C4⋊C8—593no—
507C4⋊C8—593no—
508C4⋊C8—593no—
509C4⋊C8—593no—
510C4⋊C8—591no—
511C4⋊C8—596no—
512C4⋊C8—593no—
513C4⋊C8—593no—
514C4⋊C8C22×D5913yes—
515C4⋊C8C22×D5916yes—
516C4⋊C8C22×D5911yescharacteristic
517C4⋊C8C22×D5913yes—
518C4⋊C8C22×D5913yes—
519C24—593no—
520#41—598no—
521#41—5924no—
522#41—5912no—
523#41—5912no—
524#41D4×D5914yes—
525#41Q8×D5914yes—
526C2×Q8—598no—
527C2×Q8—593no—
528C2×Q8C2×C4×D5911yescharacteristic
529C2×D4—596no—
530C2×D4—5924no—
531C2×D4—593no—
532C2×D4C2×C4×D5913yes—
533C22×C4—593no—
534C22×C4—593no—
535C22×C4—593no—
536C22×C4—5912no—
537C22×C4—5912no—
538C22×C4—593no—
539C22×C4—591no—
540C22×C4—593no—
541C22×C4—593no—
542C22×C4—596no—
543C22×C4—596no—
544C22×C4C2×C4×D5913yes—
545C22×C4C2×C4×D5913yes—
546C22×C4C23×D5913yes—
547M16—26no—
548M16—26no—
549M16—1182no—
550M16—1186no—
551M16—1186no—
552M16—11812no—
553M16—1186no—
554M16—1186no—
555M16—1186no—
556C2×C8—26no—
557C2×C8—26no—
558C2×C8—591no—
559C2×C8—593no—
560C2×C8—591no—
561C2×C8—593no—
562C2×C8—1182no—
563C2×C8—1186no—
564C2×C8—1186no—
565C2×C8—1186no—
566C2×C8—11812no—
567C2×C8—1186no—
568C2×C8—1186no—
569C2×C8C23×D5911yescharacteristic
570C2×C8C23×D5913yes—
571C2×C8C23×D5913yes—
572C2×C8C23×D5911yescharacteristic
573C4⋊C4—593no—
574C4⋊C4—593no—
575C4⋊C4—591no—
576C4⋊C4—591no—
577C4⋊C4—593no—
578C4⋊C4—593no—
579C4⋊C4—593no—
580C4⋊C4—593no—
581C4⋊C4—593no—
582C4⋊C4—593no—
583C4⋊C4C2×C4×D5913yes—
584C4⋊C4C2×C4×D5913yes—
585C22⋊C4—596no—
586C22⋊C4—593no—
587C22⋊C4—593no—
588C22⋊C4—591no—
589C22⋊C4—591no—
590C22⋊C4—593no—
591C22⋊C4—593no—
592C22⋊C4—593no—
593C22⋊C4—593no—
594C22⋊C4C2×C4×D5916yes—
595C42—596no—
596C42—596no—
597C42—593no—
598C42—593no—
599C42—591no—
600C42—593no—
601C42C2×C4×D5913yes—
602C42C2×C4×D5913yes—
603C42C23×D5913yes—
604C42C23×D5911yescharacteristic
605C23—591no—
606C23—593no—
607C23—5912no—
608C23—2363no—
609C23—2363no—
610C23C22×C4×D5913yes—
611Q8—5912no—
612Q8C4⋊C4×D5914yes—
613D4—5924no—
614D4—5912no—
615D4C4⋊C4×D59112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—593no—
619C2×C4—591no—
620C2×C4—5912no—
621C2×C4—592no—
622C2×C4—596no—
623C2×C4—592no—
624C2×C4—596no—
625C2×C4—5912no—
626C2×C4—5912no—
627C2×C4—591no—
628C2×C4—593no—
629C2×C4—591no—
630C2×C4—593no—
631C2×C4—2366no—
632C2×C4—2366no—
633C2×C4—2363no—
634C2×C4—2363no—
635C2×C4C22×C4×D5913yes—
636C2×C4C22×C4×D5913yes—
637C2×C4C22×C4×D5911yescharacteristic
638C2×C4C22×C4×D5911yescharacteristic
639C2×C4C22×C4×D5913yes—
640C2×C4C2×D4×D5916yes—
641C2×C4C2×Q8×D5916yes—
642C2×C4C24×D5911yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—1181no—
648C8—1183no—
649C8—1183no—
650C8—1181no—
651C22—23no—
652C22—23no—
653C22—592no—
654C22—596no—
655C22—1183no—
656C22—1181no—
657C22—1183no—
658C22—1181no—
659C22—23612no—
660C22C2×C4⋊C4×D5916yes—
661C22C23×C4×D5911yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—592no—
667C4—596no—
668C4—1183no—
669C4—1181no—
670C4—1183no—
671C4—1181no—
672C4C2×C4⋊C4×D5916yes—
673C4C22×D4×D5911yescharacteristic
674C4C22×Q8×D5911yescharacteristic
675C2—26no—
676C2—1182no—
677C2—1186no—
678C2C22×C4⋊C4×D5911yescharacteristic
679C2#2143880711yescharacteristic
680C2#2143880911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D59
commutator, socleC22×C59C24×C4
FittingC59×#2906C2
prime radicalC2×#41×D59C22
cosocleC2×C4×C59C25
hypercenter#2906D59
hypocenterC59#60100
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #21432665C2semidirect
5. #21432664C2semidirect
6. #21432663C2semidirect
7. #21432663C2semidirect
8. #21432662C2semidirect
9. #21432662C2semidirect
10. #21432661C2semidirect
11. #21432658C2semidirect
12. #21432657C2semidirect
13. C2×#16837427C2semidirect
14. #424×D59C2semidirect
15. C59×#2906C2semidirect
42. #16837430C22semidirect
43. #16837430C22semidirect
44. #16837429C22semidirect
45. #16837429C22semidirect
46. #16837428C22semidirect
47. #16837428C22semidirect
53. #16837427C22semidirect
54. #16837427C22semidirect
55. #16837427C22semidirect
56. #16837427C22semidirect
57. #16837427C22semidirect
58. #16837427C22semidirect
59. #16837426C22semidirect
60. #16837425C22semidirect
61. #16837425C22semidirect
62. #16837424C22semidirect
63. #16837424C22semidirect
64. C2×C4⋊(C59⋊C8)C22semidirect
65. C2×Dic59⋊C8C22semidirect
66. C2×Dic59⋊C8C22semidirect
67. C4⋊C8×D59C22semidirect
68. C4⋊C8×D59C22semidirect
72. C59×#424C22semidirect
73. C59×#424C22semidirect
74. C59×#423C22semidirect
75. C2×C4⋊C8×C59C22semidirect
345. #2906D59semidirect
402. #424C2×D59semidirect
403. #424C2×D59semidirect
409. #423C2×D59semidirect
415. C2×C4⋊C8C2×D59semidirect
416. C59#60100semidirect

Maximal subgroups

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

subgroupindex
C2×#168381672
C2×#131×D592
#214372952
#214326652
#214326642
#214326632
#214326622
#214326612
#214326582
#214326572
C2×#168374272
#424×D592
C59×#29062
#6010059