Finite Group Databasebeta

← #28556471

Subgroups — #28556471

Order 15104.

1074 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
1#21437935C211yesmaximal, characteristic
2#21427006C211yesmaximal, characteristic, complemented
3#21422669C211yesmaximal, characteristic, complemented
4#21422665C211yesmaximal, characteristic, complemented
5#21422640C212yesmaximal, complemented
6#21422635C212yesmaximal, complemented
7#21422622C212yesmaximal, complemented
8#21422601C212yesmaximal, complemented
9C2×#16837140C211yesmaximal, characteristic, complemented
10C2×#16837137C211yesmaximal, characteristic, complemented
11C59×#2973C211yesmaximal, characteristic, complemented
12#16838101—22no—
13#16838098C412yescomplemented
14#16838092C412yescomplemented
15#16838081—22no—
16#16838061C412yescomplemented
17#16838048C412yescomplemented
18#16837999—21no—
19#16837990—21no—
20#16837961—21no—
21#16837936C2212yes—
22#16837913C2212yes—
23C2×#14273706C2211yescharacteristic
24C2×#14273701C2211yescharacteristic
25#16837875—21no—
26C2×D4×Dic59—21no—
27#16837301—21no—
28#16837277—21no—
29#16837277—21no—
30#16837268C2211yescharacteristic, complemented
31#16837262C2211yescharacteristic
32#16837262C2211yescharacteristic, complemented
33C4×C4⋊Dic59C2211yescharacteristic, complemented
34C2×C59⋊#95C2211yescharacteristic
35C2×C59⋊#95C2211yescharacteristic, complemented
36#16837140C2212yescomplemented
37#16837140C2212yescomplemented
38#16837140C2212yescomplemented
39#16837140C2212yescomplemented
40#16837137C2212yes—
41#16837137C2212yes—
42#16837137C2212yes—
43#16837137C2212yes—
44C2×C4×D4×C59C2211yescharacteristic
45C59×#435—22no—
46C59×#435—22no—
47C59×#432C2212yescomplemented
48C59×#407C2212yescomplemented
49C2×C22⋊C8×C59C2211yescharacteristic
50C2×C22⋊C8×C59C2211yescharacteristic
51C2×#11745685C2×C412yescomplemented
52C22×Dic118C2×C411yescharacteristic, complemented
53C22×D236C2×C411yescharacteristic, complemented
54C22×C22⋊D59—21no—
55C23×Dic59—21no—
56C23×Dic59—21no—
57#14273722—22no—
58#14273721—22no—
59#14273720—22no—
60#14273719C2×C412yescomplemented
61#14273717—22no—
62#14273715C2×C412yescomplemented
63#14273713—22no—
64#14273712—22no—
65#14273710—22no—
66#14273710—22no—
67#14273709—22no—
68#14273708—22no—
69#14273706—21no—
70#14273706—21no—
71#14273706C2×C412yescomplemented
72#14273706C2×C412yescomplemented
73#14273706C2312yes—
74#14273705—22no—
75#14273701—21no—
76#14273701—21no—
77#14273701C2×C412yescomplemented
78#14273701C2×C412yescomplemented
79#14273701C2312yes—
80#14273700—22no—
81#14273699—22no—
82#14273699—22no—
83#14273696—22no—
84#14273695—22no—
85C4×Dic118C2×C412yescomplemented
86C4×D236C2×C412yescomplemented
87D4×Dic59—44no—
88C4×C22⋊D59—22no—
89C4×C22⋊D59—22no—
90C4×C22⋊D59—22no—
91(C22⋊D59)⋊C4—22no—
92(C22⋊D59)⋊C4—22no—
93#14273686C2×C412yescomplemented
94#14273684—22no—
95#14273683—22no—
96C2×C4⋊Dic59—21no—
97C2×C4⋊Dic59—21no—
98C2×C4⋊Dic59—21no—
99C2×C4⋊Dic59—21no—
100C2×C4⋊Dic59C2×C411yescharacteristic, complemented
101C2×C4⋊Dic59C2×C411yescharacteristic, complemented
102C2×Dic59⋊C4—21no—
103C2×C22⋊Dic59—21no—
104C2×C22⋊Dic59—21no—
105C2×C22⋊Dic59—21no—
106C2×(C2×D59)⋊C4—21no—
107C22⋊C4×D59—22no—
108C2×C4×Dic59—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95C2311yescharacteristic
113C59⋊#95C2311yescharacteristic
114C59⋊#95C2311yescharacteristic
115C59⋊#95C2311yescharacteristic
116C22×D4×C59D411yescharacteristic
117C23×C4×C59C2311yescharacteristic
118C23×C4×C59C2311yescharacteristic
119C2×M16×C59—22no—
120C22×C8×C59—21no—
121C22×C8×C59—21no—
122C4×D4×C59C2×C412yes—
123C4×D4×C59C2×C412yes—
124C4×D4×C59D412yes—
125C4×D4×C59D412yes—
126C2×C4⋊C4×C59D411yescharacteristic
127C2×C22⋊C4×C59D411yescharacteristic
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C42×C59C2311yescharacteristic
130C4⋊C8×C59—22no—
131C22⋊C8×C59—21no—
132C22⋊C8×C59—21no—
133C22⋊C8×C59—22no—
134C22⋊C8×C59C2312yes—
135C22⋊C8×C59C2312yes—
136#97×C59—22no—
137C24×C59C2×D411yescharacteristic
138C24×C59C2×D411yescharacteristic
139C23×D59—21no—
140C2×D4×C59—22no—
141C2×D4×C59—22no—
142C2×D4×C59C22⋊C412yes—
143C2×D4×C59C22⋊C412yes—
144C22×C4×C59—81no—
145C22×C4×C59—81no—
146C22×C4×C59C22×C411yescharacteristic
147C22×C4×C59C22×C411yescharacteristic
148C22×C4×C59C22×C412yes—
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D412yes—
156C22×C4×C59C2411yescharacteristic
157C2×C22⋊D59—22no—
158C2×C22⋊D59—22no—
159C2×C22⋊D59—22no—
160C2×C22⋊D59—22no—
161C2×C22⋊D59—42no—
162C2×C22⋊D59—42no—
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C22×Dic59—42no—
171C22×Dic59—42no—
172C22×Dic59—42no—
173C22×Dic59—42no—
174C22×Dic59—81no—
175C22×Dic59—81no—
176#11745685—82no—
177C2×D236—21no—
178C2×D236—81no—
179C2×D236C22×C412yes—
180C2×C4×D59—22no—
181C2×C4×D59—22no—
182C2×Dic118—21no—
183C2×Dic118—81no—
184C2×Dic118C22×C412yes—
185M16×C59—82no—
186C2×C8×C59—22no—
187C2×C8×C59—22no—
188C2×C8×C59—81no—
189C2×C8×C59—81no—
190C4⋊C4×C59C22⋊C412yes—
191C4⋊C4×C59C22⋊C412yes—
192C22⋊C4×C59C22⋊C412yes—
193C22⋊C4×C59C22⋊C412yes—
194C22⋊C4×C59C22⋊C412yes—
195C22⋊C4×C59C22⋊C412yes—
196C42×C59C22×C412yes—
197C42×C59C2×D412yes—
198C22⋊Dic59—22no—
199C22⋊Dic59—22no—
200C22⋊Dic59—22no—
201C22⋊Dic59—22no—
202C22⋊Dic59—42no—
203C22⋊Dic59—42no—
204(C2×D59)⋊C4—22no—
205(C2×D59)⋊C4—22no—
206(C2×D59)⋊C4—22no—
207(C2×D59)⋊C4—22no—
208(C2×D59)⋊C4—22no—
209(C2×D59)⋊C4—22no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—42no—
213C4⋊Dic59—42no—
214C4⋊Dic59—81no—
215C4⋊Dic59—81no—
216C4⋊Dic59C22×C412yes—
217C4⋊Dic59C22×C412yes—
218Dic59⋊C4—22no—
219Dic59⋊C4—22no—
220Dic59⋊C4—22no—
221Dic59⋊C4—22no—
222Dic59⋊C4—22no—
223Dic59⋊C4—22no—
224C4×Dic59—22no—
225C4×Dic59—22no—
226C4×Dic59—42no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59C2×C22⋊C412yes—
234C23×C59C2×C22⋊C411yescharacteristic
235C23×C59C2×C22⋊C411yescharacteristic
236C23×C59AGL(1,ℤ/8)12yes—
237C23×C59#13712yes—
238C23×C59C22×D411yescharacteristic
239C22×D59—22no—
240C22×D59—42no—
241C22×D59—81no—
242C22×D59—81no—
243D4×C59—24no—
244D4×C59—24no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59—42no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—42no—
256C2×C4×C59—41no—
257C2×C4×C59C2×C22⋊C412yes—
258C2×C4×C59C2×C22⋊C412yes—
259C2×C4×C59C2×C22⋊C411yescharacteristic
260C2×C4×C59C2×C22⋊C412yes—
261C2×C4×C59C2×C22⋊C411yescharacteristic
262C2×C4×C59C23×C411yescharacteristic
263C2×C4×C59C22×D411yescharacteristic
264C22⋊D59—42no—
265C22⋊D59—42no—
266C22⋊D59—44no—
267C22⋊D59—82no—
268C22⋊D59—82no—
269C2×Dic59—22no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—22no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—42no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—81no—
286C2×Dic59—81no—
287C2×Dic59—84no—
288C2×Dic59—84no—
289D236—42no—
290D236—81no—
291C4×D59—82no—
292C4×D59—82no—
293Dic118—42no—
294Dic118—81no—
295C8×C59—42no—
296C8×C59—42no—
297#17622—591nomaximal, Sylow
298C22×C59—21no—
299C22×C59—21no—
300C22×C59—21no—
301C22×C59—21no—
302C22×C59—21no—
303C22×C59—21no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59#41712yes—
312C22×C59#41712yes—
313C22×C59C22×C22⋊C411yescharacteristic
314C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C59C2×#13711yescharacteristic
316C2×D59—42no—
317C2×D59—42no—
318C2×D59—42no—
319C2×D59—162no—
320C4×C59—21no—
321C4×C59—21no—
322C4×C59—21no—
323C4×C59—22no—
324C4×C59—21no—
325C4×C59—22no—
326C4×C59—22no—
327Dic59—42no—
328Dic59—42no—
329Dic59—42no—
330Dic59—42no—
331Dic59—81no—
332Dic59—81no—
333Dic59—81no—
334#3505—591no—
335#2973D5911yescharacteristic, complemented
336#2349—591no—
337#1520—591no—
338#1519—591no—
339#1513—592no—
340#1512—592no—
341#1509—592no—
342#1504—592no—
343C2×#328—591no—
344C2×#327—591no—
345C2×C59—21no—
346C2×C59—22no—
347C2×C59—21no—
348C2×C59—22no—
349C2×C59—42no—
350C2×C59#288311yescharacteristic
351C2×C59C2×#41711yescharacteristic
352C2×C59#290111yescharacteristic
353D59—82no—
354#553—592no—
355#553—1182no—
356#552—592no—
357#551—1182no—
358#548—592no—
359#546—592no—
360#539—1181no—
361#538—1181no—
362#534—1181no—
363#529—592no—
364#525—592no—
365C2×C22⋊Q8—591no—
366C2×#121—591no—
367#518—1181no—
368C2×C4×D4—1181no—
369C2×C4×D4C2×D5911yescharacteristic
370#435—22no—
371#435—22no—
372#432C2×D5912yescomplemented
373#407C2×D5912yescomplemented
374C2×C22⋊C8C2×D5911yescharacteristic
375C2×C22⋊C8C2×D5911yescharacteristic
376#389—1181no—
377#385—1181no—
378#385—1181no—
379#382—591no—
380#380—591no—
381#380—591no—
382C4×C4⋊C4—591no—
383C2×#95—591no—
384C2×#95—591no—
385#328—592no—
386#328—592no—
387#328—592no—
388#328—592no—
389#327—592no—
390#327—592no—
391#327—592no—
392#327—592no—
393C59#1762211yescharacteristic, complemented, Sylow
394C2×#41—592no—
395C22×Q8—591no—
396C22×D4—591no—
397C22×D4—1181no—
398C22×D4D23611yescharacteristic
399C23×C4—1181no—
400C23×C4—1181no—
401C23×C4C22×D5911yescharacteristic
402C23×C4C22×D5911yescharacteristic
403C2×M16—22no—
404C22×C8—21no—
405C22×C8—21no—
406#126—1182no—
407#126—1182no—
408#126—1182no—
409#125—592no—
410#125—1182no—
411#124—592no—
412#124—1182no—
413#123—1182no—
414#123—1182no—
415#123—1182no—
416#123—1182no—
417#123—1182no—
418C22⋊Q8—592no—
419C22⋊Q8—592no—
420C22⋊Q8—592no—
421C22⋊Q8—1181no—
422C22⋊Q8—1181no—
423C22⋊Q8—1182no—
424#121—592no—
425#121—592no—
426#121—592no—
427#121—1182no—
428#121—1182no—
429#121—1181no—
430#121—1181no—
431#121—1182no—
432#120—1182no—
433#120—1182no—
434C4×Q8—592no—
435C4×D4—592no—
436C4×D4—1182no—
437C4×D4—1182no—
438C4×D4—1182no—
439C4×D4—1182no—
440C4×D4—1182no—
441C4×D4—2364no—
442C4×D4C4×D5912yes—
443C4×D4C4×D5912yes—
444C4×D4C22⋊D5912yes—
445C4×D4C22⋊D5912yes—
446#117—592no—
447#117—1182no—
448#117—1182no—
449C2×C4⋊C4—591no—
450C2×C4⋊C4—591no—
451C2×C4⋊C4—1181no—
452C2×C4⋊C4—1181no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4—1181no—
455C2×C4⋊C4—1181no—
456C2×C4⋊C4D23611yescharacteristic
457C2×C22⋊C4—1181no—
458C2×C22⋊C4—1181no—
459C2×C22⋊C4—1182no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4—1181no—
462C2×C22⋊C4D23611yescharacteristic
463C2×C22⋊C4D23611yescharacteristic
464C2×C42—1181no—
465C2×C42C22×D5911yescharacteristic
466C4⋊C8—22no—
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—22no—
470C22⋊C8C22×D5912yes—
471C22⋊C8C22×D5912yes—
472#97—22no—
473#95—591no—
474#95—591no—
475#95—591no—
476#95—591no—
477#95—1181no—
478#95—1181no—
479#95—1181no—
480C24—1181no—
481C24C2×D23611yescharacteristic
482C24C2×D23611yescharacteristic
483#41—4722no—
484C2×Q8—592no—
485C2×Q8—1181no—
486C2×Q8—4721no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—592no—
490C2×D4—1182no—
491C2×D4—1182no—
492C2×D4—1182no—
493C2×D4—1182no—
494C2×D4—1181no—
495C2×D4—4721no—
496C2×D4—2362no—
497C2×D4—2362no—
498C2×D4(C2×D59)⋊C412yes—
499C2×D4(C2×D59)⋊C412yes—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—1181no—
503C22×C4—1181no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—1182no—
507C22×C4—1182no—
508C22×C4—1181no—
509C22×C4—1181no—
510C22×C4—1181no—
511C22×C4—4721no—
512C22×C4—4721no—
513C22×C4—2362no—
514C22×C4—2362no—
515C22×C4—2362no—
516C22×C4—2362no—
517C22×C4C2×C4×D5911yescharacteristic
518C22×C4C2×C4×D5911yescharacteristic
519C22×C4C2×C4×D5912yes—
520C22×C4C2×D23611yescharacteristic
521C22×C4C2×D23611yescharacteristic
522C22×C4C2×D23611yescharacteristic
523C22×C4C2×D23611yescharacteristic
524C22×C4C2×C22⋊D5911yescharacteristic
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C2×C22⋊D5912yes—
527C22×C4C23×D5911yescharacteristic
528M16—82no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—81no—
532C2×C8—81no—
533C4⋊C4—592no—
534C4⋊C4—592no—
535C4⋊C4—1181no—
536C4⋊C4—1181no—
537C4⋊C4—1182no—
538C4⋊C4—1182no—
539C4⋊C4—1182no—
540C4⋊C4—1182no—
541C4⋊C4—1182no—
542C4⋊C4—1182no—
543C4⋊C4—4721no—
544C4⋊C4—4721no—
545C4⋊C4—2362no—
546C4⋊C4—2362no—
547C4⋊C4(C2×D59)⋊C412yes—
548C4⋊C4(C2×D59)⋊C412yes—
549C22⋊C4—1182no—
550C22⋊C4—1182no—
551C22⋊C4—1182no—
552C22⋊C4—1182no—
553C22⋊C4—1182no—
554C22⋊C4—1182no—
555C22⋊C4—1182no—
556C22⋊C4—1182no—
557C22⋊C4—1182no—
558C22⋊C4—1182no—
559C22⋊C4—2362no—
560C22⋊C4—2362no—
561C22⋊C4(C2×D59)⋊C412yes—
562C22⋊C4(C2×D59)⋊C412yes—
563C22⋊C4(C2×D59)⋊C412yes—
564C22⋊C4(C2×D59)⋊C412yes—
565C42—1182no—
566C42—1182no—
567C42—2362no—
568C42C2×C4×D5912yes—
569C42C2×C22⋊D5912yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—1182no—
577C23—4721no—
578C23—4721no—
579C23—2362no—
580C23C2×(C2×D59)⋊C412yes—
581C23C2×(C2×D59)⋊C411yescharacteristic
582C23C2×(C2×D59)⋊C411yescharacteristic
583C23#1427375512yes—
584C23#1427376012yes—
585C23C22×D23611yescharacteristic
586Q8—4721no—
587Q8—2362no—
588D4—24no—
589D4—24no—
590D4—4721no—
591D4—4722no—
592D4—4722no—
593D4—2362no—
594D4—2364no—
595D4—2362no—
596D4—2362no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—1182no—
610C2×C4—1182no—
611C2×C4—1182no—
612C2×C4—1182no—
613C2×C4—4722no—
614C2×C4—4722no—
615C2×C4—4724no—
616C2×C4—4724no—
617C2×C4—4721no—
618C2×C4—4721no—
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×C4—2361no—
628C2×C4—2361no—
629C2×C4—2362no—
630C2×C4—2361no—
631C2×C4C2×(C2×D59)⋊C412yes—
632C2×C4C2×(C2×D59)⋊C412yes—
633C2×C4C2×(C2×D59)⋊C412yes—
634C2×C4C2×(C2×D59)⋊C411yescharacteristic
635C2×C4C2×(C2×D59)⋊C411yescharacteristic
636C2×C4C22×C4×D5911yescharacteristic
637C2×C4C22×C22⋊D5911yescharacteristic
638C8—42no—
639C8—42no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—9442no—
654C22—2362no—
655C22—2362no—
656C22—2362no—
657C22#1683740412yes—
658C22#1683740412yes—
659C22C22×(C2×D59)⋊C411yescharacteristic
660C22C2×#1427375511yescharacteristic
661C22C2×#1427376011yescharacteristic
662C4—22no—
663C4—22no—
664C4—21no—
665C4—21no—
666C4—22no—
667C4—21no—
668C4—21no—
669C4—4721no—
670C4—4721no—
671C4—4721no—
672C4—2362no—
673C4—2362no—
674C4—2362no—
675C4—2362no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—4722no—
682C2#2143255611yescharacteristic
683C2C2×#1683740411yescharacteristic
684C2#2143264111yescharacteristic
subgroupG/H
centerC22C22×(C2×D59)⋊C4
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2973C2
socleC22×C59C22×C22⋊C4
prime radical#21437935C2
cosocleC22×C4×C59C24
hypercenter#2973D59
hypocenterC59#17622
LCSG ▷ C2×C4×C59 ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2973

Complements

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

NH ≅ G/Ntype
2. #21427006C2semidirect
3. #21422669C2semidirect
4. #21422665C2semidirect
5. #21422640C2semidirect
6. #21422635C2semidirect
7. #21422622C2semidirect
8. #21422601C2semidirect
9. C2×#16837140C2semidirect
10. C2×#16837137C2semidirect
11. C59×#2973C2semidirect
13. #16838098C4semidirect
14. #16838092C4semidirect
16. #16838061C4semidirect
17. #16838048C4semidirect
30. #16837268C22semidirect
32. #16837262C22semidirect
33. C4×C4⋊Dic59C22semidirect
35. C2×C59⋊#95C22semidirect
36. #16837140C22semidirect
37. #16837140C22semidirect
38. #16837140C22semidirect
39. #16837140C22semidirect
47. C59×#432C22semidirect
48. C59×#407C22semidirect
51. C2×#11745685C2×C4semidirect
52. C22×Dic118C2×C4semidirect
53. C22×D236C2×C4semidirect
60. #14273719C2×C4semidirect
62. #14273715C2×C4semidirect
71. #14273706C2×C4semidirect
72. #14273706C2×C4semidirect
77. #14273701C2×C4semidirect
78. #14273701C2×C4semidirect
85. C4×Dic118C2×C4semidirect
86. C4×D236C2×C4semidirect
93. #14273686C2×C4semidirect
100. C2×C4⋊Dic59C2×C4semidirect
101. C2×C4⋊Dic59C2×C4semidirect
335. #2973D59semidirect
372. #432C2×D59semidirect
373. #407C2×D59semidirect
393. C59#17622semidirect

Maximal subgroups

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

subgroupindex
#214379352
#214270062
#214226692
#214226652
#214226402
#214226352
#214226222
#214226012
C2×#168371402
C2×#168371372
C59×#29732
#1762259