Finite Group Databasebeta

← #28610326

Subgroups — #28610326

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#21432817C211yesmaximal, characteristic
3#21424846C211yesmaximal, characteristic, complemented
4#21424806C211yesmaximal, characteristic, complemented
5#21424744C211yesmaximal, characteristic, complemented
6#21424695C211yesmaximal, characteristic, complemented
7#21424692C211yesmaximal, characteristic, complemented
8#21424537C211yesmaximal, characteristic
9#21424370C211yesmaximal, characteristic, complemented
10#21424300C211yesmaximal, characteristic, complemented
11#21423981C211yesmaximal, characteristic, complemented
12#21423942C211yesmaximal, characteristic, complemented
13#21423860C211yesmaximal, characteristic, complemented
14C2×#16837161C211yesmaximal, characteristic, complemented
15C59×#2924C211yesmaximal, characteristic, complemented
16C2×#14273733C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18#16837913C2211yescharacteristic
19C22×C4×Dic59C2211yescharacteristic
20#16837743C411yescharacteristic, complemented
21#16837743C411yescharacteristic, complemented
22#16837737C411yescharacteristic, complemented
23#16837732C411yescharacteristic, complemented
24#16837726C411yescharacteristic, complemented
25#16837726C411yescharacteristic, complemented
26#16837720C411yescharacteristic, complemented
27#16837715C411yescharacteristic, complemented
28#16837477—21no—
29#16837476—21no—
30#16837470—21no—
31(C22⋊D59)⋊C8—21no—
32C2×#14273662C2211yescharacteristic
33C2×#14273662C2211yescharacteristic
34#16837438C2211yescharacteristic
35#16837438C2211yescharacteristic
36#16837428C2211yescharacteristic
37C2×#14273653C2211yescharacteristic
38C2×#14273653C2211yescharacteristic
39#16837396C2211yescharacteristic
40#16837396C2211yescharacteristic
41#16837368C2211yescharacteristic
42C2×C22⋊(C59⋊C8)C2211yescharacteristic
43#16837357C2211yescharacteristic
44C2×#14273637C2211yescharacteristic
45C2×#14273637C2211yescharacteristic
46#16837166C2211yescharacteristic
47#16837166C2211yescharacteristic
48#16837163C2211yescharacteristic
49#16837163C2211yescharacteristic
50#16837161C2211yescharacteristic
51#16837161C2211yescharacteristic
52#16837161C2211yescharacteristic
53#16837161C2211yescharacteristic
54#16837156C2211yescharacteristic
55#16837156C2211yescharacteristic
56C2×#117×C59C2211yescharacteristic
57C59×#433—21no—
58C59×#433—21no—
59C59×#432—21no—
60C59×#431—21no—
61C59×#424C2211yescharacteristic
62C59×#424C2211yescharacteristic
63C59×#407C2211yescharacteristic
64C2×C22⋊C8×C59C2211yescharacteristic
65C59×#405C2211yescharacteristic
66C59×#405C2211yescharacteristic
67C2×#11745685C2311yescharacteristic
68C23×Dic59—21no—
69#14273733—22no—
70#14273733—41no—
71C2×#11745664—21no—
72C2×#11745664—22no—
73C2×#11745664—41no—
74C2×#11745664C2311yescharacteristic
75C2×#11745664C2311yescharacteristic
76C2×#11745659—21no—
77C22×C59⋊C8—21no—
78C22×C59⋊C8C2311yescharacteristic
79C22×C59⋊C8C2311yescharacteristic
80C2×C8×D59—21no—
81#14273710—21no—
82#14273706C2×C411yescharacteristic
83#14273706C2×C411yescharacteristic
84#14273701C2×C411yescharacteristic
85#14273701C2×C411yescharacteristic
86#14273696—21no—
87C4×C22⋊D59—21no—
88C4×C22⋊D59—21no—
89#14273686C2311yescharacteristic
90C2×C4×Dic59—22no—
91C2×C4×Dic59—21no—
92C2×C4×Dic59—41no—
93C2×C4×Dic59C2311yescharacteristic
94C2×C4×Dic59C2311yescharacteristic
95#14273662—22no—
96#14273662—41no—
97#14273660C2×C411yescharacteristic, complemented
98#14273660C2×C411yescharacteristic, complemented
99#14273660C2×C411yescharacteristic, complemented
100#14273660C2×C411yescharacteristic, complemented
101#14273658C2×C411yescharacteristic, complemented
102#14273658C2×C411yescharacteristic, complemented
103#14273658C2×C411yescharacteristic, complemented
104#14273658C2×C411yescharacteristic, complemented
105Dic59⋊C8—21no—
106Dic59⋊C8—21no—
107#14273653—22no—
108#14273653—41no—
109#14273650C2×C411yescharacteristic, complemented
110#14273650C2×C411yescharacteristic, complemented
111#14273650C2×C411yescharacteristic, complemented
112#14273650C2×C411yescharacteristic, complemented
113#14273647C2×C411yescharacteristic, complemented
114#14273647C2×C411yescharacteristic, complemented
115#14273647C2×C411yescharacteristic, complemented
116#14273647C2×C411yescharacteristic, complemented
117C22⋊(C59⋊C8)C2×C411yescharacteristic
118C22⋊(C59⋊C8)C2×C411yescharacteristic
119C22⋊(C59⋊C8)C2×C411yescharacteristic
120C22⋊(C59⋊C8)C2×C411yescharacteristic
121(C2×D59)⋊C8—21no—
122(C2×D59)⋊C8—21no—
123#14273637—21no—
124#14273637—22no—
125#14273637—41no—
126C8×Dic59—21no—
127C23×C4×C59C2311yescharacteristic
128C2×M16×C59C2311yescharacteristic
129C2×M16×C59C2311yescharacteristic
130C22×C8×C59C2311yescharacteristic
131C22×C8×C59C2311yescharacteristic
132#117×C59—21no—
133#117×C59—21no—
134#117×C59C2×C411yescharacteristic
135#117×C59C2×C411yescharacteristic
136#117×C59C2311yescharacteristic
137#117×C59C2311yescharacteristic
138C2×C4⋊C4×C59C2×C411yescharacteristic
139C2×C4⋊C4×C59C2×C411yescharacteristic
140C2×C22⋊C4×C59—21no—
141C2×C42×C59—21no—
142C4⋊C8×C59—21no—
143C4⋊C8×C59—21no—
144C4⋊C8×C59—21no—
145C4⋊C8×C59—21no—
146C22⋊C8×C59—21no—
147C22⋊C8×C59—21no—
148C22⋊C8×C59D411yescharacteristic
149C22⋊C8×C59D411yescharacteristic
150C22⋊C8×C59D411yescharacteristic
151C22⋊C8×C59D411yescharacteristic
152#97×C59—21no—
153#97×C59—21no—
154C4×C8×C59—21no—
155C4×C8×C59—21no—
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×C59C22×C411yescharacteristic
164C22×C4×C59C22×C411yescharacteristic
165C22×C4×C59C2×D411yescharacteristic
166C22×C4×C59C2×D411yescharacteristic
167C22×C4×C59#4111yescharacteristic
168C22×C4×C59C2411yescharacteristic
169C2×C22⋊D59—21no—
170C2×C22⋊D59—21no—
171C2×C22⋊D59—21no—
172C22×Dic59—21no—
173C22×Dic59—21no—
174C22×Dic59—42no—
175C22×Dic59—42no—
176C22×Dic59—42no—
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—21no—
188C2×C8×C59—21no—
189C2×C8×C59—21no—
190C2×C8×C59—21no—
191C2×C8×C59—21no—
192C2×C8×C59—21no—
193C2×C8×C59—21no—
194C2×C8×C59C2×D411yescharacteristic
195C2×C8×C59C2×D411yescharacteristic
196C2×C8×C59C2×D411yescharacteristic
197C2×C8×C59C2×D411yescharacteristic
198C4⋊C4×C59—21no—
199C4⋊C4×C59—21no—
200C4⋊C4×C59C22×C411yescharacteristic
201C4⋊C4×C59C22×C411yescharacteristic
202C4⋊C4×C59C22×C411yescharacteristic
203C4⋊C4×C59C22×C411yescharacteristic
204C22⋊C4×C59—21no—
205C22⋊C4×C59—21no—
206C22⋊C4×C59—21no—
207C22⋊C4×C59—21no—
208C42×C59—21no—
209C42×C59—21no—
210C42×C59—21no—
211C42×C59—21no—
212C22⋊Dic59—21no—
213C22⋊Dic59—21no—
214C22⋊Dic59—21no—
215(C2×D59)⋊C4—21no—
216(C2×D59)⋊C4—21no—
217C4⋊Dic59C22×C411yescharacteristic
218C4⋊Dic59C22×C411yescharacteristic
219Dic59⋊C4—21no—
220Dic59⋊C4—21no—
221C4×Dic59—21no—
222C4×Dic59—21no—
223C4×Dic59—21no—
224C4×Dic59—21no—
225C4×Dic59—42no—
226C4×Dic59#4112yes—
227#11745664—21no—
228#11745664—21no—
229#11745664—21no—
230#11745664—42no—
231#11745664#4112yes—
232C2×C59⋊C8—21no—
233C2×C59⋊C8—21no—
234C2×C59⋊C8—21no—
235C2×C59⋊C8—21no—
236C2×C59⋊C8—21no—
237C2×C59⋊C8—21no—
238C2×C59⋊C8—42no—
239C2×C59⋊C8C22×C411yescharacteristic
240C2×C59⋊C8C22×C411yescharacteristic
241C2×C59⋊C8C22×C411yescharacteristic
242C2×C59⋊C8C22×C411yescharacteristic
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—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—42no—
268C2×C4×C59—81no—
269C2×C4×C59C4×D411yescharacteristic
270C2×C4×C59C4×D411yescharacteristic
271C2×C4×C59C23×C411yescharacteristic
272C2×C4×C59C22×D411yescharacteristic
273C2×C4×C59C2×#4111yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59H(5,𝔽2)11yescharacteristic
276C2×C4×C592−1+411yescharacteristic
277C22⋊D59—41no—
278C22⋊D59—41no—
279C22⋊D59—42no—
280C22⋊D59—81no—
281C2×Dic59—22no—
282C2×Dic59—21no—
283C2×Dic59—21no—
284C2×Dic59—21no—
285C2×Dic59—22no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—48no—
290C2×Dic59—41no—
291D236—21no—
292D236—21no—
293C4×D59—41no—
294C4×D59—41no—
295Dic118—21no—
296Dic118—21no—
297C8×C59—21no—
298C8×C59—21no—
299C8×C59—21no—
300C8×C59—21no—
301C8×C59—41no—
302C8×C59—41no—
303C59⋊C8—21no—
304C59⋊C8—21no—
305C59⋊C8—21no—
306C59⋊C8—21no—
307C59⋊C8—22no—
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—41no—
329C4×C59—41no—
330C4×C59—41no—
331C4×C59—41no—
332C4×C59C4×#4111yescharacteristic
333C4×C59#52011yescharacteristic
334C4×C59#54611yescharacteristic
335C4×C59#54711yescharacteristic
336Dic59—42no—
337Dic59—42no—
338Dic59—41no—
339Dic59—41no—
340Dic59—41no—
341#3091—591no—
342#2933—591no—
343#2924D5911yescharacteristic, complemented
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#235911yescharacteristic
361C2×C59C2×#44411yescharacteristic
362C2×C59#295611yescharacteristic
363D59—81no—
364C2×#131—591no—
365C22×M16—591no—
366#525—591no—
367C2×#117C2×D5911yescharacteristic
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—21no—
382#433—21no—
383#432—21no—
384#431—21no—
385C2×#108—591no—
386C2×#108—591no—
387#427—591no—
388#427—591no—
389#424—591no—
390#424C2×D5911yescharacteristic
391#424C2×D5911yescharacteristic
392C2×#104—591no—
393C2×#104—591no—
394#416—591no—
395#416—591no—
396#408—591no—
397#407C2×D5911yescharacteristic
398C2×C22⋊C8—591no—
399C2×C22⋊C8C2×D5911yescharacteristic
400#405—591no—
401#405C2×D5911yescharacteristic
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×#41—591no—
417C23×C4—1181no—
418C23×C4C22×D5911yescharacteristic
419#131—1182no—
420#131—2361no—
421C2×M16—591no—
422C2×M16—591no—
423C2×M16—1181no—
424C2×M16—1181no—
425C2×M16—1182no—
426C2×M16—2361no—
427C2×M16C22×D5911yescharacteristic
428C2×M16C22×D5911yescharacteristic
429C22×C8—591no—
430C22×C8—591no—
431C22×C8—1181no—
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—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—591no—
455C2×C42—591no—
456C2×C42—1182no—
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—21no—
472C4⋊C8—21no—
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—21no—
499#97—1182no—
500#97—1181no—
501#97—2361no—
502C4×C8—21no—
503C4×C8—21no—
504C4×C8—1181no—
505C24#1174568511yescharacteristic
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—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—21no—
537M16—592no—
538M16—1181no—
539M16—1181no—
540M16—1181no—
541M16—2362no—
542M16—2362no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—591no—
550C2×C8—591no—
551C2×C8—591no—
552C2×C8—591no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—2362no—
560C2×C8—2362no—
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—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—592no—
589C42—1181no—
590C42—1181no—
591C42—1181no—
592C42—1181no—
593C42—2362no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—41no—
598C23—1181no—
599C23C4×C22⋊D5911yescharacteristic
600C23C4×C22⋊D5911yescharacteristic
601C23C2×#1174568511yescharacteristic
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—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—42no—
625C2×C4—81no—
626C2×C4—1182no—
627C2×C4—1182no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1181no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2368no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4C4×C22⋊D5911yescharacteristic
639C2×C4C4×C22⋊D5911yescharacteristic
640C2×C4C22×C4×D5911yescharacteristic
641C2×C4C22×C22⋊D5911yescharacteristic
642C2×C4#41×D5911yescharacteristic
643C2×C4#41×D5911yescharacteristic
644C2×C4#1427377311yescharacteristic
645C2×C4#1427377411yescharacteristic
646C8—21no—
647C8—21no—
648C8—21no—
649C8—21no—
650C8—41no—
651C8—41no—
652C8—1182no—
653C8—1181no—
654C8—1181no—
655C8—1181no—
656C8—1181no—
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#1683752212yes—
671C22C2×C4×C22⋊D5911yescharacteristic
672C22#1683807611yescharacteristic
673C22#1683808511yescharacteristic
674C4—21no—
675C4—21no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—2362no—
681C4—2362no—
682C4—2361no—
683C4—2361no—
684C4—2361no—
685C4#1683787011yescharacteristic
686C4#1683788211yescharacteristic
687C4#1683804011yescharacteristic
688C4#1683805111yescharacteristic
689C2—21no—
690C2—22no—
691C2—21no—
692C2—41no—
693C2—4721no—
694C2#2142708811yescharacteristic
695C2C2×#1683752211yescharacteristic
696C2#2143300311yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2924C2
socleC22×C59C2×C4×D4
prime radical#16837913C22
cosocleC22×C4×C59C24
hypercenter#2924D59
hypocenterC59#22950
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C22⋊C8 ◁ #2924

Complements

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

NH ≅ G/Ntype
3. #21424846C2semidirect
4. #21424806C2semidirect
5. #21424744C2semidirect
6. #21424695C2semidirect
7. #21424692C2semidirect
9. #21424370C2semidirect
10. #21424300C2semidirect
11. #21423981C2semidirect
12. #21423942C2semidirect
13. #21423860C2semidirect
14. C2×#16837161C2semidirect
15. C59×#2924C2semidirect
20. #16837743C4semidirect
21. #16837743C4semidirect
22. #16837737C4semidirect
23. #16837732C4semidirect
24. #16837726C4semidirect
25. #16837726C4semidirect
26. #16837720C4semidirect
27. #16837715C4semidirect
97. #14273660C2×C4semidirect
98. #14273660C2×C4semidirect
99. #14273660C2×C4semidirect
100. #14273660C2×C4semidirect
101. #14273658C2×C4semidirect
102. #14273658C2×C4semidirect
103. #14273658C2×C4semidirect
104. #14273658C2×C4semidirect
109. #14273650C2×C4semidirect
110. #14273650C2×C4semidirect
111. #14273650C2×C4semidirect
112. #14273650C2×C4semidirect
113. #14273647C2×C4semidirect
114. #14273647C2×C4semidirect
115. #14273647C2×C4semidirect
116. #14273647C2×C4semidirect
343. #2924D59semidirect
415. C59#22950semidirect

Maximal subgroups

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

subgroupindex
#214340092
#214328172
#214248462
#214248062
#214247442
#214246952
#214246922
#214245372
#214243702
#214243002
#214239812
#214239422
#214238602
C2×#168371612
C59×#29242
#2295059