Finite Group Databasebeta

← #28610299

Subgroups — #28610299

Order 15104.

780 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#21434007C211yesmaximal, characteristic
2#21432818C211yesmaximal, characteristic
3#21432753C211yesmaximal, characteristic, complemented
4#21424841C211yesmaximal, characteristic, complemented
5#21424802C211yesmaximal, characteristic, complemented
6#21424747C211yesmaximal, characteristic, complemented
7#21424698C211yesmaximal, characteristic, complemented
8#21424696C211yesmaximal, characteristic, complemented
9#21424536C211yesmaximal, characteristic
10#21424299C211yesmaximal, characteristic, complemented
11#21423978C211yesmaximal, characteristic, complemented
12#21423931C211yesmaximal, characteristic, complemented
13#21423853C211yesmaximal, characteristic, complemented
14#339×D59C211yesmaximal, characteristic, complemented
15C59×#1866C211yesmaximal, characteristic, complemented
16C2×M16×D59C2211yescharacteristic
17#16837909C2211yescharacteristic
18#117×D59C2211yescharacteristic
19C2×C42×D59C2211yescharacteristic
20#16837742C411yescharacteristic, complemented
21#16837741C411yescharacteristic, complemented
22#16837736C411yescharacteristic, complemented
23#16837731C411yescharacteristic, complemented
24#16837725C411yescharacteristic, complemented
25#16837724C411yescharacteristic, complemented
26#16837719C411yescharacteristic, complemented
27#16837714C411yescharacteristic, complemented
28#16837478—21no—
29#16837473—21no—
30#16837471—21no—
31C8×C22⋊D59—21no—
32#16837462—21no—
33#16837462—21no—
34#16837458—21no—
35#16837454—21no—
36C2×#14273662C2211yescharacteristic
37#16837440C2211yescharacteristic
38#16837438C2211yescharacteristic
39#16837429C2211yescharacteristic
40#16837428C2211yescharacteristic
41C2×#14273654C2211yescharacteristic
42#16837398C2211yescharacteristic
43#16837369C2211yescharacteristic
44#16837365C2211yescharacteristic
45C2×(C2×D59)⋊C8C2211yescharacteristic
46C2×(C2×D59)⋊C8C2211yescharacteristic
47#16837360C2211yescharacteristic
48#16837360C2211yescharacteristic
49#16837357C2211yescharacteristic
50C2×C8×Dic59C2211yescharacteristic
51C2×C8×Dic59C2211yescharacteristic
52#16837167C2211yescharacteristic
53#16837166C2211yescharacteristic
54#16837163C2211yescharacteristic
55#16837163C2211yescharacteristic
56#16837162C2211yescharacteristic
57#16837162C2211yescharacteristic
58#16837161C2211yescharacteristic
59#16837157C2211yescharacteristic
60C2×#131×C59C2211yescharacteristic
61C2×#108×C59C2211yescharacteristic
62C59×#424C2211yescharacteristic
63C2×#104×C59C2211yescharacteristic
64C59×#416C2211yescharacteristic
65C59×#339C2211yescharacteristic
66C59×#336C2211yescharacteristic
67C22×C4×D59—21no—
68C22×C4×D59C2311yescharacteristic
69C2×#11745664C2311yescharacteristic
70C2×#11745664C2311yescharacteristic
71C2×#11745659—21no—
72M16×D59—22no—
73M16×D59—41no—
74C22×C59⋊C8C2311yescharacteristic
75C22×C59⋊C8C2311yescharacteristic
76C2×C8×D59—21no—
77#14273708—21no—
78#14273703C2×C411yescharacteristic
79#14273703C2×C411yescharacteristic
80#14273698C2×C411yescharacteristic
81#14273698C2×C411yescharacteristic
82#14273695—21no—
83C4×C22⋊D59—21no—
84C4×C22⋊D59—21no—
85#14273686C2311yescharacteristic
86#14273686C2311yescharacteristic
87#14273685C2×C411yescharacteristic
88#14273685C2×C411yescharacteristic
89#14273684—21no—
90#14273683—21no—
91C4⋊C4×D59C2×C411yescharacteristic
92C4⋊C4×D59C2×C411yescharacteristic
93C22⋊C4×D59—21no—
94C2×C4×Dic59—21no—
95C2×C4×Dic59C2311yescharacteristic
96C42×D59—21no—
97C42×D59—22no—
98C42×D59—41no—
99#14273662—41no—
100#14273661C2×C411yescharacteristic, complemented
101#14273661C2×C411yescharacteristic, complemented
102#14273660C2×C411yescharacteristic, complemented
103#14273660C2×C411yescharacteristic, complemented
104#14273659C2×C411yescharacteristic, complemented
105#14273659C2×C411yescharacteristic, complemented
106#14273658C2×C411yescharacteristic, complemented
107#14273658C2×C411yescharacteristic, complemented
108C4⋊(C59⋊C8)—21no—
109C4⋊(C59⋊C8)—21no—
110Dic59⋊C8—21no—
111Dic59⋊C8—21no—
112#14273654—22no—
113#14273651C2×C411yescharacteristic, complemented
114#14273651C2×C411yescharacteristic, complemented
115#14273648C2×C411yescharacteristic, complemented
116#14273648C2×C411yescharacteristic, complemented
117C22⋊(C59⋊C8)—21no—
118C22⋊(C59⋊C8)—21no—
119(C2×D59)⋊C8—21no—
120(C2×D59)⋊C8—21no—
121(C2×D59)⋊C8C2×C411yescharacteristic
122(C2×D59)⋊C8C2×C411yescharacteristic
123(C2×D59)⋊C8C2×C411yescharacteristic
124(C2×D59)⋊C8C2×C411yescharacteristic
125(C2×D59)⋊C8D411yescharacteristic
126(C2×D59)⋊C8D411yescharacteristic
127(C2×D59)⋊C8D411yescharacteristic
128(C2×D59)⋊C8D411yescharacteristic
129#14273637—21no—
130#14273637—21no—
131#14273637—21no—
132C8×Dic59—21no—
133C8×Dic59—22no—
134C8×Dic59—21no—
135C8×Dic59—21no—
136C8×Dic59—41no—
137C2×#41×C59C2311yescharacteristic
138#131×C59—22no—
139#131×C59—41no—
140C2×M16×C59—21no—
141C2×M16×C59C2311yescharacteristic
142C2×M16×C59C2311yescharacteristic
143C22×C8×C59—21no—
144C22×C8×C59C2311yescharacteristic
145C22×C8×C59C2311yescharacteristic
146#117×C59C2311yescharacteristic
147C2×C42×C59C2311yescharacteristic
148#108×C59—22no—
149C4⋊C8×C59—21no—
150C4⋊C8×C59—21no—
151#104×C59—41no—
152#103×C59C2×C411yescharacteristic, complemented
153#103×C59C2×C411yescharacteristic, complemented
154#102×C59C2×C411yescharacteristic, complemented
155#102×C59C2×C411yescharacteristic, complemented
156C23×D59#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×C59C22×C411yescharacteristic
164C22×C4×C59—21no—
165C22×C4×C59—21no—
166C22×C4×C59C2411yescharacteristic
167C2×C22⋊D59—21no—
168C2×C22⋊D59—21no—
169C22×Dic59—21no—
170C22×Dic59#4111yescharacteristic
171C2×C4×D59—21no—
172C2×C4×D59—21no—
173C2×C4×D59—21no—
174C2×C4×D59—21no—
175C2×C4×D59—24no—
176C2×C4×D59—21no—
177C2×C4×D59—21no—
178C2×C4×D59—42no—
179C2×C4×D59—42no—
180C2×C4×D59C22×C411yescharacteristic
181C2×C4×D59C22×C411yescharacteristic
182C2×C4×D59C2×D411yescharacteristic
183C2×C4×D59C2×D411yescharacteristic
184M16×C59—21no—
185M16×C59—21no—
186M16×C59—21no—
187M16×C59—42no—
188M16×C59#4112yes—
189C2×C8×C59—21no—
190C2×C8×C59—21no—
191C2×C8×C59—21no—
192C2×C8×C59—21no—
193C2×C8×C59—21no—
194C2×C8×C59—21no—
195C2×C8×C59—42no—
196C2×C8×C59C22×C411yescharacteristic
197C2×C8×C59C22×C411yescharacteristic
198C2×C8×C59C2×D411yescharacteristic
199C2×C8×C59C2×D411yescharacteristic
200C4⋊C4×C59C22×C411yescharacteristic
201C4⋊C4×C59C22×C411yescharacteristic
202C22⋊C4×C59—21no—
203C42×C59—21no—
204C42×C59—21no—
205C42×C59—21no—
206C22⋊Dic59—21no—
207C22⋊Dic59—21no—
208C22⋊Dic59—21no—
209C22⋊Dic59—21no—
210(C2×D59)⋊C4—21no—
211(C2×D59)⋊C4—21no—
212(C2×D59)⋊C4—21no—
213(C2×D59)⋊C4—21no—
214C4⋊Dic59C22×C411yescharacteristic
215C4⋊Dic59C22×C411yescharacteristic
216C4⋊Dic59C22×C411yescharacteristic
217C4⋊Dic59C22×C411yescharacteristic
218Dic59⋊C4—21no—
219Dic59⋊C4—21no—
220Dic59⋊C4—21no—
221Dic59⋊C4—21no—
222C4×Dic59—21no—
223C4×Dic59—21no—
224C4×Dic59—21no—
225C4×Dic59—21no—
226C4×Dic59—21no—
227C4×Dic59—42no—
228C4×Dic59#4112yes—
229#11745664—21no—
230#11745664—21no—
231#11745664—21no—
232#11745664—21no—
233C2×C59⋊C8—21no—
234C2×C59⋊C8—21no—
235C2×C59⋊C8—21no—
236C2×C59⋊C8—21no—
237C2×C59⋊C8—21no—
238C2×C59⋊C8—21no—
239C2×C59⋊C8C22×C411yescharacteristic
240C2×C59⋊C8C22×C411yescharacteristic
241C2×C59⋊C8C2×D411yescharacteristic
242C2×C59⋊C8C2×D411yescharacteristic
243#11745659—42no—
244C8×D59—42no—
245C23×C59—21no—
246C23×C59C2×#4111yescharacteristic
247C22×D59—21no—
248C22×D59—21no—
249C22×D59—22no—
250C22×D59—41no—
251C22×D59C4×D411yescharacteristic
252C22×D59C4×D411yescharacteristic
253Q8×C59—21no—
254Q8×C59—21no—
255D4×C59—21no—
256D4×C59—21no—
257D4×C59—41no—
258D4×C59—41no—
259C2×C4×C59—22no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59C23×C411yescharacteristic
268C2×C4×C59C22×D411yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×C4×C59H(5,𝔽2)11yescharacteristic
272C2×C4×C592−1+411yescharacteristic
273C22⋊D59—42no—
274C22⋊D59—81no—
275C2×Dic59—22no—
276C2×Dic59—22no—
277C2×Dic59—22no—
278C2×Dic59—21no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—21no—
283C2×Dic59—21no—
284C2×Dic59C4×D411yescharacteristic
285C2×Dic59C4×D411yescharacteristic
286C4×D59—21no—
287C4×D59—21no—
288C4×D59—21no—
289C4×D59—21no—
290C4×D59—21no—
291C4×D59—21no—
292C4×D59—21no—
293C4×D59—21no—
294C4×D59—48no—
295C4×D59—42no—
296C4×D59—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#22948—591nomaximal, Sylow
310C22×C59—21no—
311C22×C59—21no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—41no—
315C22×C59C2×C4×D411yescharacteristic
316C22×C59#55111yescharacteristic
317C22×C59#55211yescharacteristic
318C2×D59—21no—
319C2×D59—21no—
320C2×D59—21no—
321C2×D59—21no—
322C2×D59—21no—
323C2×D59—42no—
324C2×D59—42no—
325C2×D59#44312yes—
326C4×C59—42no—
327C4×C59—41no—
328C4×C59—41no—
329C4×C59—41no—
330C4×C59C4×#4111yescharacteristic
331C4×C59#52011yescharacteristic
332C4×C59#54611yescharacteristic
333C4×C59#54711yescharacteristic
334Dic59—24no—
335Dic59—21no—
336Dic59—21no—
337Dic59—41no—
338Dic59—41no—
339Dic59—41no—
340Dic59—41no—
341#3091—591no—
342#2933—591no—
343#2924—591no—
344#1945—591no—
345#1937—591no—
346#1929—591no—
347#1922—591no—
348#1922—591no—
349#1896—591no—
350#1866D5911yescharacteristic, complemented
351#1855—591no—
352#1772—591no—
353#1764—591no—
354C4×C22⋊C8—591no—
355C2×#339—591no—
356C2×C59—21no—
357C2×C59—21no—
358C2×C59—81no—
359C2×C59#235911yescharacteristic
360C2×C59C2×#44311yescharacteristic
361C2×C59#295611yescharacteristic
362D59—22no—
363D59—41no—
364C2×#131C2×D5911yescharacteristic
365C22×M16—591no—
366#525—591no—
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—1181no—
378#435—1181no—
379#435—1181no—
380C8×D4—1181no—
381#433—1181no—
382#433—1181no—
383#432—1181no—
384#431—1181no—
385C2×#108—591no—
386C2×#108C2×D5911yescharacteristic
387#427—591no—
388#427—591no—
389#424—591no—
390#424—591no—
391#424C2×D5911yescharacteristic
392C2×#104—591no—
393C2×#104C2×D5911yescharacteristic
394#416—591no—
395#416C2×D5911yescharacteristic
396#408—591no—
397#407—591no—
398C2×C22⋊C8—591no—
399C2×C22⋊C8—591no—
400#405—591no—
401#405—591no—
402#405—591no—
403C2×C4×C8—591no—
404C2×C4×C8—591no—
405#341—591no—
406#341—591no—
407#339—591no—
408#339—591no—
409#339—591no—
410#339—591no—
411#339—591no—
412#339C2×D5911yescharacteristic
413#336—591no—
414#336C2×D5911yescharacteristic
415C59#2294811yescharacteristic, complemented, Sylow
416C2×#41C22×D5911yescharacteristic
417C23×C4—591no—
418C23×C4—1181no—
419#131—22no—
420#131—41no—
421C2×M16—21no—
422C2×M16—591no—
423C2×M16—591no—
424C2×M16—1181no—
425C2×M16—1182no—
426C2×M16—2361no—
427C2×M16C22×D5911yescharacteristic
428C2×M16C22×D5911yescharacteristic
429C22×C8—21no—
430C22×C8—591no—
431C22×C8—591no—
432C22×C8—1181no—
433C22×C8C22×D5911yescharacteristic
434C22×C8C22×D5911yescharacteristic
435#123—1181no—
436C22⋊Q8—591no—
437C22⋊Q8—591no—
438#121—591no—
439#121—591no—
440#120—1181no—
441C4×D4—1181no—
442C4×D4—1181no—
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—1182no—
455C2×C42—1181no—
456C2×C42—1181no—
457C2×C42—2361no—
458C2×C42C22×D5911yescharacteristic
459#108—22no—
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—41no—
476#104—1182no—
477#103—591no—
478#103—591no—
479#103C4×D5911yescharacteristic, complemented
480#103C4×D5911yescharacteristic, complemented
481#102—591no—
482#102—591no—
483#102C4×D5911yescharacteristic, complemented
484#102C4×D5911yescharacteristic, complemented
485C22⋊C8—591no—
486C22⋊C8—591no—
487C22⋊C8—591no—
488C22⋊C8—591no—
489C22⋊C8—591no—
490C22⋊C8—591no—
491C22⋊C8—591no—
492C22⋊C8—591no—
493C22⋊C8—1181no—
494C22⋊C8—1181no—
495C22⋊C8—1181no—
496C22⋊C8—1181no—
497#97—1181no—
498#97—1181no—
499#97—1181no—
500C4×C8—1182no—
501C4×C8—1181no—
502C4×C8—1181no—
503C4×C8—1181no—
504C4×C8—2361no—
505C24—591no—
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C2×C4×D5911yescharacteristic
511C2×D4—21no—
512C2×D4—1181no—
513C2×D4—1181no—
514C2×D4C2×C4×D5911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—591no—
518C22×C4—591no—
519C22×C4—591no—
520C22×C4—591no—
521C22×C4—591no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1184no—
525C22×C4—1181no—
526C22×C4—1181no—
527C22×C4—1181no—
528C22×C4—1181no—
529C22×C4—1181no—
530C22×C4—2362no—
531C22×C4—2362no—
532C22×C4C23×D5911yescharacteristic
533M16—21no—
534M16—21no—
535M16—21no—
536M16—42no—
537M16—1181no—
538M16—1181no—
539M16—1181no—
540M16—1181no—
541M16—2362no—
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—591no—
551C2×C8—591no—
552C2×C8—591no—
553C2×C8—591no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—2362no—
561C2×C8C2×C4×D5911yescharacteristic
562C2×C8C2×C4×D5911yescharacteristic
563C2×C8D4×D5911yescharacteristic
564C2×C8D4×D5911yescharacteristic
565C4⋊C4—591no—
566C4⋊C4—591no—
567C4⋊C4—591no—
568C4⋊C4—591no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4C2×C4×D5911yescharacteristic
574C4⋊C4C2×C4×D5911yescharacteristic
575C22⋊C4—21no—
576C22⋊C4—1181no—
577C22⋊C4—1181no—
578C22⋊C4—1181no—
579C22⋊C4—1181no—
580C22⋊C4—1181no—
581C22⋊C4—1181no—
582C22⋊C4—1181no—
583C22⋊C4—1181no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—592no—
588C42—1181no—
589C42—1181no—
590C42—1181no—
591C42—1181no—
592C42—1181no—
593C42—2362no—
594C23—21no—
595C23—591no—
596C23—591no—
597C23—1182no—
598C23—1181no—
599C23—1181no—
600C23—2361no—
601C23#41×D5911yescharacteristic
602Q8—21no—
603Q8—21no—
604D4—21no—
605D4—21no—
606D4—41no—
607D4—41no—
608D4—4721no—
609D4—2362no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—591no—
619C2×C4—591no—
620C2×C4—1182no—
621C2×C4—1182no—
622C2×C4—1182no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—1181no—
626C2×C4—1181no—
627C2×C4—1181no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1181no—
631C2×C4—1181no—
632C2×C4—1181no—
633C2×C4—1181no—
634C2×C4—1181no—
635C2×C4—1181no—
636C2×C4—1181no—
637C2×C4—4721no—
638C2×C4—2368no—
639C2×C4—2362no—
640C2×C4C22×C4×D5911yescharacteristic
641C2×C4C2×D4×D5911yescharacteristic
642C2×C4#41×D5911yescharacteristic
643C2×C4C2×#1174568711yescharacteristic
644C2×C4#1427377211yescharacteristic
645C2×C4#1427377511yescharacteristic
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—41no—
661C22—41no—
662C22—41no—
663C22—592no—
664C22—1181no—
665C22—1181no—
666C22—1181no—
667C22—1181no—
668C22—1181no—
669C22—2362no—
670C22—2362no—
671C22C4×D4×D5911yescharacteristic
672C22#1683808011yescharacteristic
673C22#1683808611yescharacteristic
674C4—42no—
675C4—41no—
676C4—41no—
677C4—41no—
678C4—1184no—
679C4—1181no—
680C4—1181no—
681C4—2361no—
682C4—2361no—
683C4—2361no—
684C4—2361no—
685C4C4×#1174568711yescharacteristic
686C4#1683788311yescharacteristic
687C4#1683803911yescharacteristic
688C4#1683805411yescharacteristic
689C2—21no—
690C2—21no—
691C2—81no—
692C2—1182no—
693C2—2361no—
694C2#2142709111yescharacteristic
695C2#443×D5911yescharacteristic
696C2#2143300411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1866C2
socleC22×C59C2×C4×D4
prime radical#16837909C22
cosocleC22×C4×C59C24
hypercenter#1866D59
hypocenterC59#22948
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1866

Complements

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

NH ≅ G/Ntype
3. #21432753C2semidirect
4. #21424841C2semidirect
5. #21424802C2semidirect
6. #21424747C2semidirect
7. #21424698C2semidirect
8. #21424696C2semidirect
10. #21424299C2semidirect
11. #21423978C2semidirect
12. #21423931C2semidirect
13. #21423853C2semidirect
14. #339×D59C2semidirect
15. C59×#1866C2semidirect
20. #16837742C4semidirect
21. #16837741C4semidirect
22. #16837736C4semidirect
23. #16837731C4semidirect
24. #16837725C4semidirect
25. #16837724C4semidirect
26. #16837719C4semidirect
27. #16837714C4semidirect
100. #14273661C2×C4semidirect
101. #14273661C2×C4semidirect
102. #14273660C2×C4semidirect
103. #14273660C2×C4semidirect
104. #14273659C2×C4semidirect
105. #14273659C2×C4semidirect
106. #14273658C2×C4semidirect
107. #14273658C2×C4semidirect
113. #14273651C2×C4semidirect
114. #14273651C2×C4semidirect
115. #14273648C2×C4semidirect
116. #14273648C2×C4semidirect
152. #103×C59C2×C4semidirect
153. #103×C59C2×C4semidirect
154. #102×C59C2×C4semidirect
155. #102×C59C2×C4semidirect
350. #1866D59semidirect
415. C59#22948semidirect
479. #103C4×D59semidirect
480. #103C4×D59semidirect
483. #102C4×D59semidirect
484. #102C4×D59semidirect

Maximal subgroups

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

subgroupindex
#214340072
#214328182
#214327532
#214248412
#214248022
#214247472
#214246982
#214246962
#214245362
#214242992
#214239782
#214239312
#214238532
#339×D592
C59×#18662
#2294859