Finite Group Databasebeta

← #28610322

Subgroups — #28610322

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#21434009C211yesmaximal, characteristic
2#21432821C211yesmaximal, characteristic
3#21432754C211yesmaximal, characteristic, complemented
4#21424848C211yesmaximal, characteristic, complemented
5#21424808C211yesmaximal, characteristic, complemented
6#21424742C211yesmaximal, characteristic, complemented
7#21424698C211yesmaximal, characteristic, complemented
8#21424693C211yesmaximal, characteristic, complemented
9#21424539C211yesmaximal, characteristic
10#21424372C211yesmaximal, characteristic, complemented
11#21424301C211yesmaximal, characteristic, complemented
12#21423979C211yesmaximal, characteristic, complemented
13#21423937C211yesmaximal, characteristic, complemented
14#21423858C211yesmaximal, characteristic, complemented
15C2×C59×#339C211yesmaximal, characteristic, complemented
16C2×#14273735C2211yescharacteristic
17#16837913C2211yescharacteristic
18#16837743C411yescharacteristic, complemented
19#16837743C411yescharacteristic, complemented
20#16837737C411yescharacteristic, complemented
21#16837732C411yescharacteristic, complemented
22#16837726C411yescharacteristic, complemented
23#16837726C411yescharacteristic, complemented
24#16837720C411yescharacteristic, complemented
25#16837715C411yescharacteristic, complemented
26#16837478—21no—
27#16837473—21no—
28#16837471—21no—
29C8×C22⋊D59—21no—
30#16837463—21no—
31#16837463—21no—
32#16837459—21no—
33#16837455—21no—
34C2×#14273662C2211yescharacteristic
35C2×#14273662C2211yescharacteristic
36#16837438C2211yescharacteristic
37#16837438C2211yescharacteristic
38#16837430C2211yescharacteristic
39#16837429C2211yescharacteristic
40#16837429C2211yescharacteristic
41C2×#14273655C2211yescharacteristic
42C2×#14273655C2211yescharacteristic
43#16837396C2211yescharacteristic
44#16837396C2211yescharacteristic
45#16837370C2211yescharacteristic
46#16837366C2211yescharacteristic
47C2×C22⋊(C59⋊C8)C2211yescharacteristic
48C2×C22⋊(C59⋊C8)C2211yescharacteristic
49#16837360C2211yescharacteristic
50#16837358C2211yescharacteristic
51#16837358C2211yescharacteristic
52C2×#14273638C2211yescharacteristic
53C2×#14273638C2211yescharacteristic
54#16837166C2211yescharacteristic
55#16837166C2211yescharacteristic
56#16837162C2211yescharacteristic
57#16837162C2211yescharacteristic
58#16837157C2211yescharacteristic
59#16837157C2211yescharacteristic
60C22×M16×C59C2211yescharacteristic
61C2×#117×C59C2211yescharacteristic
62C22×C42×C59C2211yescharacteristic
63C59×#339C2211yescharacteristic
64C59×#339C2211yescharacteristic
65C59×#339C2211yescharacteristic
66C59×#339C2211yescharacteristic
67C2×#11745685C2311yescharacteristic
68#14273735—22no—
69#14273735—41no—
70C2×#11745664C2311yescharacteristic
71C2×#11745664C2311yescharacteristic
72C2×#11745659—21no—
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75C22×C59⋊C8C2311yescharacteristic
76C22×C59⋊C8C2311yescharacteristic
77C2×C8×D59—21no—
78#14273710—21no—
79#14273706C2×C411yescharacteristic
80#14273706C2×C411yescharacteristic
81#14273701C2×C411yescharacteristic
82#14273701C2×C411yescharacteristic
83#14273696—21no—
84C4×C22⋊D59—21no—
85C4×C22⋊D59—21no—
86#14273686C2311yescharacteristic
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
97C4⋊(C59⋊C8)—21no—
98C4⋊(C59⋊C8)—21no—
99C4⋊(C59⋊C8)—21no—
100C4⋊(C59⋊C8)—21no—
101Dic59⋊C8—21no—
102Dic59⋊C8—21no—
103#14273655—22no—
104#14273655—41no—
105#14273650C2×C411yescharacteristic, complemented
106#14273650C2×C411yescharacteristic, complemented
107#14273650C2×C411yescharacteristic, complemented
108#14273650C2×C411yescharacteristic, complemented
109#14273647C2×C411yescharacteristic, complemented
110#14273647C2×C411yescharacteristic, complemented
111#14273647C2×C411yescharacteristic, complemented
112#14273647C2×C411yescharacteristic, complemented
113C22⋊(C59⋊C8)—21no—
114C22⋊(C59⋊C8)—21no—
115C22⋊(C59⋊C8)C2×C411yescharacteristic
116C22⋊(C59⋊C8)C2×C411yescharacteristic
117C22⋊(C59⋊C8)C2×C411yescharacteristic
118C22⋊(C59⋊C8)C2×C411yescharacteristic
119C22⋊(C59⋊C8)D411yescharacteristic
120C22⋊(C59⋊C8)D411yescharacteristic
121C22⋊(C59⋊C8)D411yescharacteristic
122C22⋊(C59⋊C8)D411yescharacteristic
123(C2×D59)⋊C8—21no—
124(C2×D59)⋊C8—21no—
125#14273638—22no—
126#14273638—21no—
127#14273638—21no—
128#14273638—41no—
129#14273637—21no—
130C4×C59⋊C8—21no—
131C4×C59⋊C8—21no—
132C8×Dic59—21no—
133C23×C4×C59—21no—
134C23×C4×C59C2311yescharacteristic
135C2×M16×C59—21no—
136C2×M16×C59—22no—
137C2×M16×C59—41no—
138C2×M16×C59C2311yescharacteristic
139C2×M16×C59C2311yescharacteristic
140C22×C8×C59—21no—
141#117×C59—21no—
142#117×C59—21no—
143#117×C59C2×C411yescharacteristic
144#117×C59C2×C411yescharacteristic
145#117×C59C2311yescharacteristic
146#117×C59C2311yescharacteristic
147C2×C4⋊C4×C59C2×C411yescharacteristic
148C2×C4⋊C4×C59C2×C411yescharacteristic
149C2×C22⋊C4×C59—21no—
150C2×C42×C59—21no—
151C2×C42×C59—22no—
152C2×C42×C59—21no—
153C2×C42×C59—41no—
154C2×C42×C59C2311yescharacteristic
155C2×C42×C59C2311yescharacteristic
156C24×C59#4111yescharacteristic
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—21no—
164C22×C4×C59—21no—
165C22×C4×C59—42no—
166C22×C4×C59—42no—
167C22×C4×C59—42no—
168C22×C4×C59C22×C411yescharacteristic
169C22×C4×C59C22×C411yescharacteristic
170C22×C4×C59C2×D411yescharacteristic
171C22×C4×C59C2×D411yescharacteristic
172C22×C4×C59#4111yescharacteristic
173C22×C4×C59C2411yescharacteristic
174C2×C22⋊D59—21no—
175C2×C22⋊D59—21no—
176C2×C22⋊D59—21no—
177#11745685—21no—
178#11745685—21no—
179#11745685—21no—
180#11745685—21no—
181C2×D236C22×C411yescharacteristic
182C2×C4×D59—21no—
183C2×Dic118C22×C411yescharacteristic
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—42no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59C22×C411yescharacteristic
195C4⋊C4×C59C22×C411yescharacteristic
196C4⋊C4×C59C22×C411yescharacteristic
197C4⋊C4×C59C22×C411yescharacteristic
198C22⋊C4×C59—21no—
199C22⋊C4×C59—21no—
200C22⋊C4×C59—21no—
201C22⋊C4×C59—21no—
202C42×C59—21no—
203C42×C59—21no—
204C42×C59—21no—
205C42×C59—21no—
206C42×C59—21no—
207C42×C59—21no—
208C42×C59—21no—
209C42×C59—42no—
210C42×C59#4112yes—
211C22⋊Dic59—21no—
212C22⋊Dic59—21no—
213C22⋊Dic59—21no—
214(C2×D59)⋊C4—21no—
215(C2×D59)⋊C4—21no—
216C4⋊Dic59C22×C411yescharacteristic
217C4⋊Dic59C22×C411yescharacteristic
218Dic59⋊C4—21no—
219Dic59⋊C4—21no—
220C4×Dic59—21no—
221#11745664—21no—
222#11745664—21no—
223#11745664—21no—
224#11745664—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8—21no—
233C2×C59⋊C8—21no—
234C2×C59⋊C8—21no—
235C2×C59⋊C8C22×C411yescharacteristic
236C2×C59⋊C8C22×C411yescharacteristic
237C2×C59⋊C8C22×C411yescharacteristic
238C2×C59⋊C8C22×C411yescharacteristic
239C2×C59⋊C8C2×D411yescharacteristic
240C2×C59⋊C8C2×D411yescharacteristic
241C2×C59⋊C8C2×D411yescharacteristic
242C2×C59⋊C8C2×D411yescharacteristic
243#11745659—42no—
244C8×D59—42no—
245C23×C59—21no—
246C23×C59—21no—
247C23×C59—22no—
248C23×C59—41no—
249C23×C59C4×D411yescharacteristic
250C23×C59C4×D411yescharacteristic
251C23×C59C2×#4111yescharacteristic
252C22×D59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—22no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—22no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—48no—
273C2×C4×C59—41no—
274C2×C4×C59—42no—
275C2×C4×C59—81no—
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
284C22⋊D59—41no—
285C22⋊D59—41no—
286C22⋊D59—42no—
287C22⋊D59—81no—
288C2×Dic59—21no—
289C2×Dic59—21no—
290C2×Dic59—21no—
291D236—21no—
292D236—21no—
293C4×D59—41no—
294C4×D59—41no—
295Dic118—21no—
296Dic118—21no—
297C8×C59—22no—
298C8×C59—41no—
299C59⋊C8—21no—
300C59⋊C8—21no—
301C59⋊C8—21no—
302C59⋊C8—21no—
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#44412yes—
320C22×C59C2×C4×D411yescharacteristic
321C22×C59#55111yescharacteristic
322C22×C59#55211yescharacteristic
323C2×D59—41no—
324C2×D59—41no—
325C2×D59—41no—
326C4×C59—21no—
327C4×C59—21no—
328C4×C59—42no—
329C4×C59—42no—
330C4×C59—41no—
331C4×C59—41no—
332C4×C59—41no—
333C4×C59—41no—
334C4×C59C4×#4111yescharacteristic
335C4×C59#52011yescharacteristic
336C4×C59#54611yescharacteristic
337C4×C59#54711yescharacteristic
338Dic59—41no—
339Dic59—41no—
340Dic59—41no—
341#3091—591no—
342#2933—591no—
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×#339D5911yescharacteristic, complemented
356C2×C59—21no—
357C2×C59—21no—
358C2×C59—22no—
359C2×C59—41no—
360C2×C59#235911yescharacteristic
361C2×C59C2×#44411yescharacteristic
362C2×C59#295611yescharacteristic
363D59—81no—
364C2×#131—591no—
365C22×M16C2×D5911yescharacteristic
366#525—591no—
367C2×#117C2×D5911yescharacteristic
368C22×C42C2×D5911yescharacteristic
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×#108—591no—
387#427—591no—
388#427—591no—
389#424—591no—
390#424—591no—
391#424—591no—
392C2×#104—591no—
393C2×#104—591no—
394#416—591no—
395#416—591no—
396#408—591no—
397#407—591no—
398C2×C22⋊C8—591no—
399C2×C22⋊C8—591no—
400#405—591no—
401#405—591no—
402#405—591no—
403C2×#97—591no—
404C2×#97—591no—
405#341—591no—
406#341—591no—
407#339—591no—
408#339—591no—
409#339C2×D5911yescharacteristic
410#339C2×D5911yescharacteristic
411#339C2×D5911yescharacteristic
412#339C2×D5911yescharacteristic
413#336—591no—
414#336—591no—
415C59#2295011yescharacteristic, complemented, Sylow
416C2×#41—591no—
417C23×C4—21no—
418C23×C4C22×D5911yescharacteristic
419#131—1182no—
420#131—2361no—
421C2×M16—21no—
422C2×M16—22no—
423C2×M16—41no—
424C2×M16—591no—
425C2×M16—591no—
426C2×M16—1181no—
427C2×M16C22×D5911yescharacteristic
428C2×M16C22×D5911yescharacteristic
429C22×C8—21no—
430C22×C8—591no—
431C22×C8—591no—
432C22×C8—591no—
433C22×C8—591no—
434C22×C8—1181no—
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—21no—
444#117—21no—
445#117—591no—
446#117C4×D5911yescharacteristic
447#117C4×D5911yescharacteristic
448#117C22×D5911yescharacteristic
449#117C22×D5911yescharacteristic
450C2×C4⋊C4C4×D5911yescharacteristic
451C2×C4⋊C4C4×D5911yescharacteristic
452C2×C22⋊C4—21no—
453C2×C42—21no—
454C2×C42—22no—
455C2×C42—21no—
456C2×C42—41no—
457C2×C42C22×D5911yescharacteristic
458C2×C42C22×D5911yescharacteristic
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—1181no—
470C4⋊C8—1181no—
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—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—
500#97—1182no—
501#97—2361no—
502C4×C8—1181no—
503C4×C8—1181no—
504C4×C8—1181no—
505C24#1174568711yescharacteristic
506#41—1181no—
507#41—1181no—
508#41—1181no—
509#41—1181no—
510C2×Q8—591no—
511C2×D4—591no—
512C2×D4—1181no—
513C2×D4—1181no—
514C2×D4—1181no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—1181no—
527C22×C4C2×C4×D5911yescharacteristic
528C22×C4C2×C4×D5911yescharacteristic
529C22×C4D4×D5911yescharacteristic
530C22×C4D4×D5911yescharacteristic
531C22×C4#1174568711yescharacteristic
532C22×C4C23×D5911yescharacteristic
533M16—21no—
534M16—21no—
535M16—21no—
536M16—42no—
537M16—1181no—
538M16—1181no—
539M16—1181no—
540M16—1181no—
541M16—2362no—
542M16#1174568512yes—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—42no—
546C2×C8—591no—
547C2×C8—591no—
548C2×C8—591no—
549C2×C8—591no—
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—1181no—
561C2×C8—1181no—
562C2×C8—1181no—
563C2×C8—1181no—
564C2×C8—2362no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—591no—
568C4⋊C4—591no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4C2×C4×D5911yescharacteristic
572C4⋊C4C2×C4×D5911yescharacteristic
573C4⋊C4C2×C4×D5911yescharacteristic
574C4⋊C4C2×C4×D5911yescharacteristic
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—1181no—
580C22⋊C4—1181no—
581C22⋊C4—1181no—
582C22⋊C4—1181no—
583C22⋊C4—1181no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—42no—
592C42—1181no—
593C42#1174568512yes—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—1181no—
599C23(C22⋊D59)⋊C411yescharacteristic
600C23(C22⋊D59)⋊C411yescharacteristic
601C23C2×#1174568711yescharacteristic
602Q8—1181no—
603Q8—1181no—
604D4—1181no—
605D4—1181no—
606D4—4721no—
607D4—2362no—
608D4—2361no—
609D4—2361no—
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—22no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—48no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—81no—
633C2×C4—1181no—
634C2×C4—1181no—
635C2×C4—1181no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4(C22⋊D59)⋊C411yescharacteristic
639C2×C4(C22⋊D59)⋊C411yescharacteristic
640C2×C4C22×C4×D5911yescharacteristic
641C2×C4C2×D4×D5911yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C2×C4C2×#1174568511yescharacteristic
644C2×C4#1427377211yescharacteristic
645C2×C4#1427377511yescharacteristic
646C8—22no—
647C8—41no—
648C8—1181no—
649C8—1181no—
650C8—1181no—
651C8—1181no—
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—2361no—
668C22—2361no—
669C22—2361no—
670C22#1683752112yes—
671C22C2×(C22⋊D59)⋊C411yescharacteristic
672C22#1683807811yescharacteristic
673C22#1683808711yescharacteristic
674C4—21no—
675C4—21no—
676C4—42no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—2361no—
683C4—2361no—
684C4—2361no—
685C4C4×#1174568511yescharacteristic
686C4#1683788311yescharacteristic
687C4#1683804211yescharacteristic
688C4#1683805311yescharacteristic
689C2—21no—
690C2—22no—
691C2—21no—
692C2—41no—
693C2—4721no—
694C2#2142708411yescharacteristic
695C2C2×#1683752111yescharacteristic
696C2#2143300211yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#339C2
socleC22×C59C2×C4×D4
prime radical#16837913C22
cosocleC22×C4×C59C24
hypercenterC2×#339D59
hypocenterC59#22950
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#339

Complements

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

NH ≅ G/Ntype
3. #21432754C2semidirect
4. #21424848C2semidirect
5. #21424808C2semidirect
6. #21424742C2semidirect
7. #21424698C2semidirect
8. #21424693C2semidirect
10. #21424372C2semidirect
11. #21424301C2semidirect
12. #21423979C2semidirect
13. #21423937C2semidirect
14. #21423858C2semidirect
15. C2×C59×#339C2semidirect
18. #16837743C4semidirect
19. #16837743C4semidirect
20. #16837737C4semidirect
21. #16837732C4semidirect
22. #16837726C4semidirect
23. #16837726C4semidirect
24. #16837720C4semidirect
25. #16837715C4semidirect
89. #14273660C2×C4semidirect
90. #14273660C2×C4semidirect
91. #14273660C2×C4semidirect
92. #14273660C2×C4semidirect
93. #14273658C2×C4semidirect
94. #14273658C2×C4semidirect
95. #14273658C2×C4semidirect
96. #14273658C2×C4semidirect
105. #14273650C2×C4semidirect
106. #14273650C2×C4semidirect
107. #14273650C2×C4semidirect
108. #14273650C2×C4semidirect
109. #14273647C2×C4semidirect
110. #14273647C2×C4semidirect
111. #14273647C2×C4semidirect
112. #14273647C2×C4semidirect
355. C2×#339D59semidirect
415. C59#22950semidirect

Maximal subgroups

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

subgroupindex
#214340092
#214328212
#214327542
#214248482
#214248082
#214247422
#214246982
#214246932
#214245392
#214243722
#214243012
#214239792
#214239372
#214238582
C2×C59×#3392
#2295059