Finite Group Databasebeta

← #28610320

Subgroups — #28610320

Order 15104.

768 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21434005C211yesmaximal, characteristic
2#21432750C211yesmaximal, characteristic, complemented
3#21424846C211yesmaximal, characteristic, complemented
4#21424810C211yesmaximal, characteristic, complemented
5#21424741C211yesmaximal, characteristic, complemented
6#21424695C211yesmaximal, characteristic, complemented
7#21424692C211yesmaximal, characteristic, complemented
8#21424540C211yesmaximal, characteristic
9#21424371C211yesmaximal, characteristic, complemented
10#21424301C211yesmaximal, characteristic, complemented
11#21423981C211yesmaximal, characteristic, complemented
12#21423938C211yesmaximal, characteristic, complemented
13#21423860C211yesmaximal, characteristic, complemented
14C2×#16837163C211yesmaximal, characteristic, complemented
15C59×#2933C211yesmaximal, characteristic
16C2×#14273686C2211yescharacteristic
17C22×C4×Dic59C2211yescharacteristic
18#16837740C411yescharacteristic, complemented
19#16837740C411yescharacteristic, complemented
20#16837735C411yescharacteristic, complemented
21#16837730C411yescharacteristic, complemented
22#16837723C411yescharacteristic, complemented
23#16837723C411yescharacteristic, complemented
24#16837718C411yescharacteristic, complemented
25#16837713C411yescharacteristic, complemented
26#16837460—21no—
27#16837460—21no—
28#16837456—21no—
29#16837452—21no—
30C2×#14273662C2211yescharacteristic
31C2×#14273662C2211yescharacteristic
32#16837438C2211yescharacteristic
33#16837438C2211yescharacteristic
34#16837428C2211yescharacteristic
35#16837428C2211yescharacteristic
36C2×#14273654C2211yescharacteristic
37C2×#14273654C2211yescharacteristic
38#16837398C2211yescharacteristic
39#16837398C2211yescharacteristic
40#16837366C2211yescharacteristic
41C2×C22⋊(C59⋊C8)C2211yescharacteristic
42#16837357C2211yescharacteristic
43#16837357C2211yescharacteristic
44C2×#14273637C2211yescharacteristic
45C2×#14273637C2211yescharacteristic
46#16837166C2211yescharacteristic
47#16837166C2211yescharacteristic
48#16837163C2211yescharacteristic
49#16837163C2211yescharacteristic
50#16837163C2211yescharacteristic
51#16837163C2211yescharacteristic
52#16837161C2211yescharacteristic
53#16837161C2211yescharacteristic
54#16837156C2211yescharacteristic
55#16837156C2211yescharacteristic
56C2×#131×C59C2211yescharacteristic
57C22×M16×C59C2211yescharacteristic
58C59×#525C2211yescharacteristic
59C59×#436—21no—
60C59×#435—21no—
61C59×#435—21no—
62C8×D4×C59—21no—
63C59×#424C2211yescharacteristic
64C59×#408C2211yescharacteristic
65C2×C22⋊C8×C59C2211yescharacteristic
66C59×#405C2211yescharacteristic
67C23×Dic59—21no—
68C2×#11745664C2311yescharacteristic
69C2×#11745664C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72#14273686—21no—
73#14273686—21no—
74#14273686C2×C411yescharacteristic
75#14273686C2×C411yescharacteristic
76#14273686C2311yescharacteristic
77#14273686C2311yescharacteristic
78C2×C4⋊Dic59C2×C411yescharacteristic
79C2×C4⋊Dic59C2×C411yescharacteristic
80C2×C22⋊Dic59—21no—
81C2×C4×Dic59—21no—
82C2×C4×Dic59—22no—
83C2×C4×Dic59—21no—
84C2×C4×Dic59—41no—
85C2×C4×Dic59C2311yescharacteristic
86C2×C4×Dic59C2311yescharacteristic
87#14273662—22no—
88#14273662—41no—
89#14273660C2×C411yescharacteristic, complemented
90#14273660C2×C411yescharacteristic, complemented
91#14273660C2×C411yescharacteristic, complemented
92#14273660C2×C411yescharacteristic, complemented
93#14273658C2×C411yescharacteristic, complemented
94#14273658C2×C411yescharacteristic, complemented
95#14273658C2×C411yescharacteristic, complemented
96#14273658C2×C411yescharacteristic, complemented
97Dic59⋊C8—21no—
98Dic59⋊C8—21no—
99Dic59⋊C8—21no—
100Dic59⋊C8—21no—
101#14273654—22no—
102#14273654—41no—
103#14273651C2×C411yescharacteristic, complemented
104#14273651C2×C411yescharacteristic, complemented
105#14273651C2×C411yescharacteristic, complemented
106#14273651C2×C411yescharacteristic, complemented
107#14273648C2×C411yescharacteristic, complemented
108#14273648C2×C411yescharacteristic, complemented
109#14273648C2×C411yescharacteristic, complemented
110#14273648C2×C411yescharacteristic, complemented
111C22⋊(C59⋊C8)—21no—
112C22⋊(C59⋊C8)—21no—
113C22⋊(C59⋊C8)C2×C411yescharacteristic
114C22⋊(C59⋊C8)C2×C411yescharacteristic
115C22⋊(C59⋊C8)C2×C411yescharacteristic
116C22⋊(C59⋊C8)C2×C411yescharacteristic
117#14273637—21no—
118#14273637—21no—
119#14273637—22no—
120#14273637—41no—
121C8×Dic59—21no—
122C8×Dic59—21no—
123C2×#41×C59C2311yescharacteristic
124C23×C4×C59C2311yescharacteristic
125#131×C59—22no—
126#131×C59—41no—
127C2×M16×C59—21no—
128C2×M16×C59—21no—
129C2×M16×C59—22no—
130C2×M16×C59—41no—
131C2×M16×C59C2311yescharacteristic
132C2×M16×C59C2311yescharacteristic
133C22×C8×C59—21no—
134C22×C8×C59—21no—
135C22×C8×C59C2311yescharacteristic
136C22×C8×C59C2311yescharacteristic
137#123×C59—21no—
138C22⋊Q8×C59C2×C411yescharacteristic
139C22⋊Q8×C59C2×C411yescharacteristic
140#121×C59C2×C411yescharacteristic
141#121×C59C2×C411yescharacteristic
142#120×C59—21no—
143C4×D4×C59—21no—
144C4×D4×C59—21no—
145#117×C59C2311yescharacteristic
146C4⋊C8×C59—21no—
147C4⋊C8×C59—21no—
148C22⋊C8×C59—21no—
149C22⋊C8×C59—21no—
150C22⋊C8×C59D411yescharacteristic
151C22⋊C8×C59D411yescharacteristic
152C22⋊C8×C59D411yescharacteristic
153C22⋊C8×C59D411yescharacteristic
154#97×C59—21no—
155C4×C8×C59—21no—
156C24×C59#4111yescharacteristic
157#41×C59—21no—
158#41×C59—21no—
159#41×C59—21no—
160#41×C59—21no—
161C2×Q8×C59C22×C411yescharacteristic
162C2×D4×C59—21no—
163C2×D4×C59—21no—
164C2×D4×C59—21no—
165C2×D4×C59C22×C411yescharacteristic
166C22×C4×C59—21no—
167C22×C4×C59—21no—
168C22×C4×C59—21no—
169C22×C4×C59—21no—
170C22×C4×C59—21no—
171C22×C4×C59C22×C411yescharacteristic
172C22×C4×C59C22×C411yescharacteristic
173C22×C4×C59C2×D411yescharacteristic
174C22×C4×C59C2×D411yescharacteristic
175C22×C4×C59#4111yescharacteristic
176C22×C4×C59C2411yescharacteristic
177C22×Dic59—21no—
178C22×Dic59—21no—
179C22×Dic59—21no—
180C22×Dic59—21no—
181C22×Dic59—42no—
182C22×Dic59—42no—
183C22×Dic59—42no—
184M16×C59—21no—
185M16×C59—21no—
186M16×C59—21no—
187M16×C59—42no—
188M16×C59—42no—
189M16×C59#4112yes—
190C2×C8×C59—21no—
191C2×C8×C59—21no—
192C2×C8×C59—21no—
193C2×C8×C59—21no—
194C2×C8×C59—21no—
195C2×C8×C59—21no—
196C2×C8×C59—42no—
197C2×C8×C59—42no—
198C2×C8×C59C2×D411yescharacteristic
199C2×C8×C59C2×D411yescharacteristic
200C2×C8×C59C2×D411yescharacteristic
201C2×C8×C59C2×D411yescharacteristic
202C4⋊C4×C59—21no—
203C4⋊C4×C59—21no—
204C4⋊C4×C59C22×C411yescharacteristic
205C4⋊C4×C59C22×C411yescharacteristic
206C22⋊C4×C59—21no—
207C22⋊C4×C59—21no—
208C22⋊C4×C59—21no—
209C22⋊C4×C59—21no—
210C22⋊C4×C59—21no—
211C42×C59—21no—
212C22⋊Dic59—21no—
213C22⋊Dic59—21no—
214C22⋊Dic59—21no—
215C22⋊Dic59—21no—
216C4⋊Dic59—21no—
217C4⋊Dic59—21no—
218C4⋊Dic59C22×C411yescharacteristic
219C4⋊Dic59C22×C411yescharacteristic
220C4⋊Dic59C22×C411yescharacteristic
221C4⋊Dic59C22×C411yescharacteristic
222C4×Dic59—21no—
223C4×Dic59—21no—
224C4×Dic59—21no—
225C4×Dic59—21no—
226C4×Dic59—21no—
227C4×Dic59—21no—
228C4×Dic59—21no—
229C4×Dic59—42no—
230C4×Dic59#4112yes—
231#11745664—21no—
232#11745664—21no—
233#11745664—21no—
234#11745664—21no—
235C2×C59⋊C8—21no—
236C2×C59⋊C8—21no—
237C2×C59⋊C8—21no—
238C2×C59⋊C8—21no—
239C2×C59⋊C8—21no—
240C2×C59⋊C8—21no—
241C2×C59⋊C8C22×C411yescharacteristic
242C2×C59⋊C8C22×C411yescharacteristic
243C2×C59⋊C8C22×C411yescharacteristic
244C2×C59⋊C8C22×C411yescharacteristic
245C23×C59—21no—
246C23×C59—21no—
247C23×C59—22no—
248C23×C59—21no—
249C23×C59—41no—
250C23×C59C4×D411yescharacteristic
251C23×C59C4×D411yescharacteristic
252C23×C59C2×#4111yescharacteristic
253Q8×C59—21no—
254Q8×C59—21no—
255D4×C59—21no—
256D4×C59—21no—
257D4×C59—41no—
258D4×C59—41no—
259D4×C59—42no—
260D4×C59—81no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
272C2×C4×C59—21no—
273C2×C4×C59—21no—
274C2×C4×C59—41no—
275C2×C4×C59—41no—
276C2×C4×C59C4×D411yescharacteristic
277C2×C4×C59C4×D411yescharacteristic
278C2×C4×C59C23×C411yescharacteristic
279C2×C4×C59C22×D411yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×C4×C59H(5,𝔽2)11yescharacteristic
283C2×C4×C592−1+411yescharacteristic
284C2×Dic59—22no—
285C2×Dic59—21no—
286C2×Dic59—21no—
287C2×Dic59—21no—
288C2×Dic59—21no—
289C2×Dic59—22no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—48no—
294C2×Dic59—41no—
295C2×Dic59—42no—
296C2×Dic59—81no—
297C8×C59—21no—
298C8×C59—21no—
299C8×C59—22no—
300C8×C59—21no—
301C8×C59—21no—
302C8×C59—41no—
303C59⋊C8—21no—
304C59⋊C8—21no—
305C59⋊C8—21no—
306C59⋊C8—21no—
307C59⋊C8—41no—
308C59⋊C8—41no—
309#22950—591nomaximal, Sylow
310C22×C59—21no—
311C22×C59—21no—
312C22×C59—21no—
313C22×C59—21no—
314C22×C59—21no—
315C22×C59—21no—
316C22×C59—21no—
317C22×C59—42no—
318C22×C59—42no—
319C22×C59—41no—
320C22×C59—41no—
321C22×C59—41no—
322C22×C59#44412yes—
323C22×C59C2×C4×D411yescharacteristic
324C22×C59#55111yescharacteristic
325C22×C59#55211yescharacteristic
326C4×C59—21no—
327C4×C59—21no—
328C4×C59—41no—
329C4×C59—41no—
330C4×C59—41no—
331C4×C59C4×#4111yescharacteristic
332C4×C59#52011yescharacteristic
333C4×C59#54611yescharacteristic
334C4×C59#54711yescharacteristic
335Dic59—42no—
336Dic59—42no—
337Dic59—41no—
338Dic59—41no—
339Dic59—41no—
340Dic59—41no—
341#3091—591no—
342#2933D5911yescharacteristic
343#2924—591no—
344#1946—591no—
345#1938—591no—
346#1929—591no—
347#1922—591no—
348#1922—591no—
349#1896—591no—
350#1866—591no—
351#1855—591no—
352#1773—591no—
353#1765—591no—
354#1749—591no—
355C2×#339—591no—
356C2×C59—21no—
357C2×C59—21no—
358C2×C59—22no—
359C2×C59—41no—
360C2×C59—81no—
361C2×C59#235911yescharacteristic
362C2×C59C2×#44411yescharacteristic
363C2×C59#295611yescharacteristic
364C2×#131C2×D5911yescharacteristic
365C22×M16C2×D5911yescharacteristic
366#525C2×D5911yescharacteristic
367C2×#117—591no—
368C22×C42—591no—
369#485—591no—
370#485—591no—
371#484—591no—
372#483—591no—
373#482—591no—
374#482—591no—
375#481—591no—
376#480—591no—
377#436—21no—
378#435—21no—
379#435—21no—
380C8×D4—21no—
381#433—1181no—
382#433—1181no—
383#432—1181no—
384#431—1181no—
385C2×#108—591no—
386C2×#108—591no—
387#427—591no—
388#427—591no—
389#424—591no—
390#424—591no—
391#424C2×D5911yescharacteristic
392C2×#104—591no—
393C2×#104—591no—
394#416—591no—
395#416—591no—
396#408C2×D5911yescharacteristic
397#407—591no—
398C2×C22⋊C8—591no—
399C2×C22⋊C8C2×D5911yescharacteristic
400#405—591no—
401#405—591no—
402#405C2×D5911yescharacteristic
403C2×#97—591no—
404C2×#97—591no—
405#341—591no—
406#341—591no—
407#339—591no—
408#339—591no—
409#339—591no—
410#339—591no—
411#339—591no—
412#339—591no—
413#336—591no—
414#336—591no—
415C59#2295011yescharacteristic, complemented, Sylow
416C2×#41C22×D5911yescharacteristic
417C23×C4—1181no—
418C23×C4C22×D5911yescharacteristic
419#131—22no—
420#131—41no—
421C2×M16—21no—
422C2×M16—21no—
423C2×M16—22no—
424C2×M16—41no—
425C2×M16—591no—
426C2×M16—591no—
427C2×M16C22×D5911yescharacteristic
428C2×M16C22×D5911yescharacteristic
429C22×C8—21no—
430C22×C8—21no—
431C22×C8—591no—
432C22×C8—591no—
433C22×C8C22×D5911yescharacteristic
434C22×C8C22×D5911yescharacteristic
435#123—21no—
436C22⋊Q8C4×D5911yescharacteristic
437C22⋊Q8C4×D5911yescharacteristic
438#121C4×D5911yescharacteristic
439#121C4×D5911yescharacteristic
440#120—21no—
441C4×D4—21no—
442C4×D4—21no—
443#117—591no—
444#117—591no—
445#117—591no—
446#117—591no—
447#117—1181no—
448#117—1181no—
449#117C22×D5911yescharacteristic
450C2×C4⋊C4—591no—
451C2×C4⋊C4—591no—
452C2×C22⋊C4—1181no—
453C2×C42—591no—
454C2×C42—591no—
455C2×C42—1182no—
456C2×C42—1181no—
457C2×C42—1181no—
458C2×C42—2361no—
459#108—1182no—
460#108—2361no—
461#107—591no—
462#107—591no—
463#107—591no—
464#107—591no—
465#106—591no—
466#106—591no—
467#106—591no—
468#106—591no—
469C4⋊C8—21no—
470C4⋊C8—21no—
471C4⋊C8—1181no—
472C4⋊C8—1181no—
473C4⋊C8—1181no—
474C4⋊C8—1181no—
475#104—1182no—
476#104—2361no—
477#103—591no—
478#103—591no—
479#103—591no—
480#103—591no—
481#102—591no—
482#102—591no—
483#102—591no—
484#102—591no—
485C22⋊C8—21no—
486C22⋊C8—21no—
487C22⋊C8—591no—
488C22⋊C8—591no—
489C22⋊C8—591no—
490C22⋊C8—591no—
491C22⋊C8—1181no—
492C22⋊C8—1181no—
493C22⋊C8C22⋊D5911yescharacteristic
494C22⋊C8C22⋊D5911yescharacteristic
495C22⋊C8C22⋊D5911yescharacteristic
496C22⋊C8C22⋊D5911yescharacteristic
497#97—21no—
498#97—1182no—
499#97—1181no—
500#97—1181no—
501#97—2361no—
502C4×C8—21no—
503C4×C8—1181no—
504C4×C8—1181no—
505C24#1174568511yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C2×C4×D5911yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C2×C4×D5911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—1181no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4—2362no—
527C22×C4C2×C4×D5911yescharacteristic
528C22×C4C2×C4×D5911yescharacteristic
529C22×C4#1174568511yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533M16—21no—
534M16—21no—
535M16—21no—
536M16—42no—
537M16—42no—
538M16—1181no—
539M16—1181no—
540M16—1181no—
541M16—1181no—
542M16#1174568712yes—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—42no—
550C2×C8—42no—
551C2×C8—591no—
552C2×C8—591no—
553C2×C8—591no—
554C2×C8—591no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—1181no—
561C2×C8C2×C22⋊D5911yescharacteristic
562C2×C8C2×C22⋊D5911yescharacteristic
563C2×C8C2×C22⋊D5911yescharacteristic
564C2×C8C2×C22⋊D5911yescharacteristic
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—591no—
568C4⋊C4—591no—
569C4⋊C4—591no—
570C4⋊C4—591no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4C2×C4×D5911yescharacteristic
574C4⋊C4C2×C4×D5911yescharacteristic
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—1181no—
581C22⋊C4—1181no—
582C22⋊C4—1181no—
583C22⋊C4—1181no—
584C42—21no—
585C42—592no—
586C42—1181no—
587C42—1181no—
588C42—1181no—
589C42—1181no—
590C42—1181no—
591C42—1181no—
592C42—1181no—
593C42—2362no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23C4×C22⋊D5911yescharacteristic
600C23C4×C22⋊D5911yescharacteristic
601C23C2×#1174568511yescharacteristic
602Q8—21no—
603Q8—21no—
604D4—21no—
605D4—21no—
606D4—42no—
607D4—41no—
608D4—41no—
609D4—81no—
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—1182no—
626C2×C4—1182no—
627C2×C4—1181no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1181no—
631C2×C4—4721no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2368no—
636C2×C4—2362no—
637C2×C4—2361no—
638C2×C4C4×C22⋊D5911yescharacteristic
639C2×C4C4×C22⋊D5911yescharacteristic
640C2×C4C22×C4×D5911yescharacteristic
641C2×C4C22×C22⋊D5911yescharacteristic
642C2×C4#41×D5911yescharacteristic
643C2×C4C2×#1174568711yescharacteristic
644C2×C4#1427377211yescharacteristic
645C2×C4#1427377411yescharacteristic
646C8—21no—
647C8—21no—
648C8—22no—
649C8—21no—
650C8—21no—
651C8—41no—
652C8—1181no—
653C8—1181no—
654C8—1181no—
655C8—1181no—
656C8—2361no—
657C8—2361no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—42no—
666C22—42no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22#1683752212yes—
671C22C2×C4×C22⋊D5911yescharacteristic
672C22#1683808111yescharacteristic
673C22#1683809211yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—2362no—
680C4—2362no—
681C4—2361no—
682C4—2361no—
683C4—2361no—
684C4—2361no—
685C4C4×#1174568711yescharacteristic
686C4#1683788111yescharacteristic
687C4#1683804611yescharacteristic
688C4#1683805111yescharacteristic
689C2—21no—
690C2—22no—
691C2—21no—
692C2—41no—
693C2—81no—
694C2#2142708211yescharacteristic
695C2C2×#1683752211yescharacteristic
696C2#2143300311yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2933C2
socleC22×C59C2×C4×D4
prime radicalC59×#525C22
cosocleC22×C4×C59C24
hypercenter#2933D59
hypocenterC59#22950
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C22⋊C8 ◁ #2933

Complements

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

NH ≅ G/Ntype
2. #21432750C2semidirect
3. #21424846C2semidirect
4. #21424810C2semidirect
5. #21424741C2semidirect
6. #21424695C2semidirect
7. #21424692C2semidirect
9. #21424371C2semidirect
10. #21424301C2semidirect
11. #21423981C2semidirect
12. #21423938C2semidirect
13. #21423860C2semidirect
14. C2×#16837163C2semidirect
18. #16837740C4semidirect
19. #16837740C4semidirect
20. #16837735C4semidirect
21. #16837730C4semidirect
22. #16837723C4semidirect
23. #16837723C4semidirect
24. #16837718C4semidirect
25. #16837713C4semidirect
89. #14273660C2×C4semidirect
90. #14273660C2×C4semidirect
91. #14273660C2×C4semidirect
92. #14273660C2×C4semidirect
93. #14273658C2×C4semidirect
94. #14273658C2×C4semidirect
95. #14273658C2×C4semidirect
96. #14273658C2×C4semidirect
103. #14273651C2×C4semidirect
104. #14273651C2×C4semidirect
105. #14273651C2×C4semidirect
106. #14273651C2×C4semidirect
107. #14273648C2×C4semidirect
108. #14273648C2×C4semidirect
109. #14273648C2×C4semidirect
110. #14273648C2×C4semidirect
415. C59#22950semidirect

Maximal subgroups

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

subgroupindex
#214340052
#214327502
#214248462
#214248102
#214247412
#214246952
#214246922
#214245402
#214243712
#214243012
#214239812
#214239382
#214238602
C2×#168371632
C59×#29332
#2295059