Finite Group Databasebeta

← #28605554

Subgroups — #28605554

Order 15104.

1054 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838125C211yesmaximal, characteristic
2C2×#16837533C211yesmaximal, characteristic, complemented
3#21425028C211yesmaximal, characteristic
4#21425028C211yesmaximal, characteristic
5#21425019C211yesmaximal, characteristic, complemented
6#21424915C211yesmaximal, characteristic, complemented
7#21424910C211yesmaximal, characteristic
8#21424905C211yesmaximal, characteristic
9#21424108C211yesmaximal, characteristic, complemented
10#21424103C211yesmaximal, characteristic
11#21424098C211yesmaximal, characteristic, complemented
12#21423929C211yesmaximal, characteristic, complemented
13#21423924C211yesmaximal, characteristic
14C4×#14273650C211yesmaximal, characteristic, complemented
15C59×#2355C211yesmaximal, characteristic, complemented
16#16838125—24no—
17#16838125C418yescomplemented
18C2×#14273727C2211yescharacteristic
19C2×#14273722—21no—
20C2×#14273722—21no—
21C2×#14273715C2211yescharacteristic
22C2×#14273715C2211yescharacteristic
23C2×#14273703—21no—
24C2×C4×Dic118C2211yescharacteristic
25C2×C4×Dic118C2211yescharacteristic
26C2×C4×D236C2211yescharacteristic
27C2×#14273685—21no—
28#16837533—24no—
29C2×C4⋊(C59⋊C8)C2211yescharacteristic
30C2×C4⋊(C59⋊C8)C2211yescharacteristic
31C2×C4⋊(C59⋊C8)C2211yescharacteristic
32C2×#14273650C2211yescharacteristic
33C2×#14273650C2211yescharacteristic
34C2×#14273650C2211yescharacteristic
35C2×#14273650C2211yescharacteristic
36C2×#14273650C2211yescharacteristic
37C2×#14273650C2211yescharacteristic
38C2×#14273650C2211yescharacteristic
39C2×#14273650C2211yescharacteristic
40C2×#14273647C2211yescharacteristic
41C2×#14273647C2211yescharacteristic
42C2×#14273647C2211yescharacteristic
43C2×#14273647C2211yescharacteristic
44C2×#14273638C2211yescharacteristic
45C2×#14273638C2211yescharacteristic
46C2×C4×C59⋊C8C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C59×#391—21no—
53C59×#387—21no—
54C59×#387—21no—
55C59×#384C2211yescharacteristic
56C59×#382C2211yescharacteristic
57C59×#382C2211yescharacteristic
58C4×C4⋊C4×C59—21no—
59C4×C4⋊C4×C59C2211yescharacteristic
60C4×C4⋊C4×C59C2211yescharacteristic
61C4×C4⋊C4×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×Dic118C2311yescharacteristic
64C22×D236C2311yescharacteristic
65C22×C4×D59—21no—
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70#14273727—22no—
71#14273727C2×C414yes—
72#14273722—28no—
73#14273722—28no—
74#14273715—22no—
75#14273715—22no—
76#14273715C2×C414yes—
77#14273715C2×C414yes—
78#14273703—28no—
79C4×Dic118—22no—
80C4×Dic118—22no—
81C4×Dic118C2×C414yes—
82C4×Dic118C2×C414yes—
83C4×D236—22no—
84C4×D236C2×C414yes—
85#14273685—28no—
86C2×C4⋊Dic59—21no—
87C2×C4⋊Dic59—21no—
88C2×C4⋊Dic59C2311yescharacteristic
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4—21no—
91C2×(C2×D59)⋊C4—21no—
92C2×(C2×D59)⋊C4—21no—
93C2×(C2×D59)⋊C4—21no—
94C2×(C2×D59)⋊C4—21no—
95C2×(C2×D59)⋊C4—21no—
96C2×C4×Dic59—21no—
97C2×C4×Dic59—21no—
98C4⋊(C59⋊C8)—22no—
99C4⋊(C59⋊C8)—22no—
100C4⋊(C59⋊C8)—22no—
101#14273650—22no—
102#14273650—22no—
103#14273650—22no—
104#14273650—22no—
105#14273650—41no—
106#14273650—41no—
107#14273650—41no—
108#14273650—41no—
109#14273647—22no—
110#14273647—22no—
111#14273647—41no—
112#14273647—41no—
113#14273638—22no—
114#14273638—22no—
115C4×C59⋊C8—22no—
116C22×Q8×C59D411yescharacteristic
117C4×Q8×C59C2×C414yes—
118C4×Q8×C59D414yes—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—21no—
121C2×C4⋊C4×C59D411yescharacteristic
122C2×C4⋊C4×C59D411yescharacteristic
123C2×C4⋊C4×C59D411yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C4⋊C4×C59C2311yescharacteristic
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C42×C59—21no—
129C2×C42×C59—21no—
130C2×C42×C59—21no—
131C2×C42×C59C2311yescharacteristic
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137#95×C59—21no—
138#95×C59—21no—
139#95×C59—21no—
140#95×C59—21no—
141C23×D59—21no—
142C2×Q8×C59—41no—
143C2×Q8×C59—41no—
144C2×Q8×C59C22⋊C414yes—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
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×C59C2411yescharacteristic
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C2×D236—21no—
160C2×D236—21no—
161C2×D236—21no—
162C2×D236—21no—
163C2×D236—21no—
164C2×D236C22×C412yes—
165C2×C4×D59—24no—
166C2×C4×D59—42no—
167C2×C4×D59—42no—
168C2×Dic118—21no—
169C2×Dic118—21no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118C22×C412yes—
179C2×Dic118C22×C412yes—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—42no—
188C4⋊C4×C59—81no—
189C4⋊C4×C59C22⋊C414yes—
190C4⋊C4×C59C22⋊C414yes—
191C4⋊C4×C59C22⋊C414yes—
192C4⋊C4×C59#4112yes—
193C42×C59—42no—
194C42×C59—81no—
195C42×C59—81no—
196C42×C59C22×C412yes—
197C42×C59C22×C412yes—
198C42×C59C22×C412yes—
199C42×C59C2×D412yes—
200C42×C59C2×D412yes—
201C42×C59C2×D412yes—
202(C2×D59)⋊C4—24no—
203(C2×D59)⋊C4—24no—
204(C2×D59)⋊C4—24no—
205(C2×D59)⋊C4—24no—
206(C2×D59)⋊C4—24no—
207C4⋊Dic59—24no—
208C4⋊Dic59—24no—
209C4⋊Dic59—21no—
210C4⋊Dic59C22×C412yes—
211Dic59⋊C4—24no—
212Dic59⋊C4—24no—
213C4×Dic59—24no—
214C4×Dic59—24no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8#4112yes—
227C23×C59C22×D411yescharacteristic
228C22×D59—22no—
229C22×D59—41no—
230C22×D59—41no—
231C22×D59—41no—
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235Q8×C59—44no—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—22no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59C2×C22⋊C412yes—
261C2×C4×C59C2×C22⋊C412yes—
262C2×C4×C59C2×C22⋊C412yes—
263C2×C4×C59C2×C22⋊C412yes—
264C2×C4×C59C2×C22⋊C412yes—
265C2×C4×C59C2×C22⋊C412yes—
266C2×C4×C59C23×C411yescharacteristic
267C2×C4×C59C22×D411yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59H(5,𝔽2)11yescharacteristic
271C2×C4×C592−1+411yescharacteristic
272C2×Dic59—22no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281D236—22no—
282D236—22no—
283D236—41no—
284D236—41no—
285C4×D59—48no—
286Dic118—22no—
287Dic118—22no—
288Dic118—22no—
289Dic118—22no—
290Dic118—41no—
291Dic118—41no—
292Dic118—41no—
293Dic118—41no—
294C59⋊C8—22no—
295C59⋊C8—41no—
296C59⋊C8—41no—
297C59⋊C8—41no—
298#22548—591nomaximal, Sylow
299C22×C59C22×C22⋊C411yescharacteristic
300C22×C59#54811yescharacteristic
301C22×C59#55011yescharacteristic
302C22×C59#57511yescharacteristic
303C22×C59#57511yescharacteristic
304C22×C59#57711yescharacteristic
305C22×C59#57811yescharacteristic
306C2×D59—42no—
307C2×D59—42no—
308C2×D59—42no—
309C2×D59—81no—
310C2×D59—81no—
311C2×D59—81no—
312C2×D59—81no—
313C4×C59—22no—
314C4×C59—22no—
315C4×C59—22no—
316C4×C59—22no—
317C4×C59—22no—
318C4×C59—22no—
319C4×C59—42no—
320C4×C59—81no—
321C4×C59—81no—
322C4×C59—81no—
323C4×C59C4×#4111yescharacteristic
324C4×C59#52011yescharacteristic
325C4×C59#54811yescharacteristic
326C4×C59#55011yescharacteristic
327Dic59—42no—
328Dic59—42no—
329Dic59—42no—
330C2×#556—591no—
331C2×#446—591no—
332#2355D5911yescharacteristic, complemented
333#1983—591no—
334#1983—591no—
335#1981—591no—
336#1960—591no—
337#1959—591no—
338#1958—591no—
339#1805—591no—
340#1804—591no—
341#1803—591no—
342#1763—591no—
343#1762—591no—
344C4×#103—591no—
345C2×C59#234111yescharacteristic
346C2×C59#289611yescharacteristic
347C2×C59#289811yescharacteristic
348C2×C59#337611yescharacteristic
349C2×C59#337711yescharacteristic
350C2×C59#340111yescharacteristic
351C2×C59#340211yescharacteristic
352D59—82no—
353#556—598no—
354#556—1184no—
355C2×C4⋊Q8—591no—
356C2×#126—1181no—
357C2×#126—1181no—
358C2×#124—591no—
359C2×#124—591no—
360C2×C22⋊Q8—1181no—
361C2×C4×Q8—591no—
362C2×C4×Q8—591no—
363C2×C4×Q8C2×D5911yescharacteristic
364C2×C4×D4—591no—
365C2×#117—1181no—
366#446—1184no—
367C2×C4⋊C8—591no—
368C2×C4⋊C8—591no—
369C2×C4⋊C8—591no—
370C2×#103—591no—
371C2×#103—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#103—591no—
376C2×#103—591no—
377C2×#103—591no—
378C2×#102—591no—
379C2×#102—591no—
380C2×#102—591no—
381C2×#102—591no—
382C2×#97—591no—
383C2×#97—591no—
384C2×C4×C8—591no—
385#391—21no—
386#387—21no—
387#387—21no—
388#384C2×D5911yescharacteristic
389#382C2×D5911yescharacteristic
390#382C2×D5911yescharacteristic
391C4×C4⋊C4—21no—
392C4×C4⋊C4C2×D5911yescharacteristic
393C4×C4⋊C4C2×D5911yescharacteristic
394C4×C4⋊C4C2×D5911yescharacteristic
395#340—591no—
396#340—591no—
397#340—591no—
398#340—591no—
399C59#2254811yescharacteristic, complemented, Sylow
400C22×Q8—591no—
401C22×Q8—591no—
402C22×Q8C22⋊D5911yescharacteristic
403C22×D4—591no—
404C23×C4—1181no—
405C22×C8—591no—
406C22×C8—591no—
407C22×C8—591no—
408C22×C8—591no—
409C4⋊Q8—594no—
410C4⋊Q8—1182no—
411#126—1188no—
412#126—1188no—
413#124—594no—
414#124—594no—
415#124—1182no—
416#124—1182no—
417C22⋊Q8—1188no—
418C4×Q8—594no—
419C4×Q8—594no—
420C4×Q8—1182no—
421C4×Q8—1182no—
422C4×Q8C4×D5914yes—
423C4×Q8D23614yes—
424C4×D4—594no—
425C4×D4—1182no—
426#117—1188no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—1181no—
431C2×C4⋊C4—1181no—
432C2×C4⋊C4—1181no—
433C2×C4⋊C4—1181no—
434C2×C4⋊C4C22⋊D5911yescharacteristic
435C2×C4⋊C4C22⋊D5911yescharacteristic
436C2×C4⋊C4C22⋊D5911yescharacteristic
437C2×C4⋊C4C22×D5911yescharacteristic
438C2×C4⋊C4C22×D5911yescharacteristic
439C2×C4⋊C4C22×D5911yescharacteristic
440C2×C4⋊C4C22×D5911yescharacteristic
441C2×C22⋊C4—1181no—
442C2×C22⋊C4—1181no—
443C2×C22⋊C4—1181no—
444C2×C22⋊C4—1181no—
445C2×C22⋊C4—1181no—
446C2×C42—21no—
447C2×C42—21no—
448C2×C42—21no—
449C2×C42—1181no—
450C2×C42—1181no—
451C2×C42C22×D5911yescharacteristic
452C2×C42C22×D5911yescharacteristic
453C2×C42C22×D5911yescharacteristic
454C4⋊C8—1182no—
455C4⋊C8—1182no—
456C4⋊C8—1182no—
457#103—1182no—
458#103—1182no—
459#103—1182no—
460#103—1182no—
461#103—2361no—
462#103—2361no—
463#103—2361no—
464#103—2361no—
465#102—1182no—
466#102—1182no—
467#102—2361no—
468#102—2361no—
469#97—1182no—
470#97—1182no—
471C4×C8—1182no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479C24—1181no—
480C2×Q8—41no—
481C2×Q8—41no—
482C2×Q8—592no—
483C2×Q8—592no—
484C2×Q8—1181no—
485C2×Q8—1181no—
486C2×Q8—1181no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×Q8—1181no—
492C2×Q8—1181no—
493C2×Q8—1181no—
494C2×Q8(C2×D59)⋊C414yes—
495C2×D4—592no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—1181no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—1181no—
508C22×C4—1184no—
509C22×C4—2362no—
510C22×C4—2362no—
511C22×C4C2×C22⋊D5911yescharacteristic
512C22×C4C2×C22⋊D5911yescharacteristic
513C22×C4C2×C22⋊D5911yescharacteristic
514C22×C4C2×C22⋊D5911yescharacteristic
515C22×C4C2×C22⋊D5911yescharacteristic
516C22×C4C2×C22⋊D5911yescharacteristic
517C22×C4C23×D5911yescharacteristic
518C2×C8—592no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8—1181no—
523C2×C8—1181no—
524C2×C8—1181no—
525C2×C8—1181no—
526C2×C8—1181no—
527C2×C8—1181no—
528C2×C8—1181no—
529C2×C8—1181no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—592no—
540C4⋊C4—1184no—
541C4⋊C4—1184no—
542C4⋊C4—1184no—
543C4⋊C4—1184no—
544C4⋊C4—1181no—
545C4⋊C4(C2×D59)⋊C414yes—
546C4⋊C4(C2×D59)⋊C414yes—
547C4⋊C4(C2×D59)⋊C414yes—
548C4⋊C4#1174568912yes—
549C22⋊C4—1184no—
550C22⋊C4—1184no—
551C22⋊C4—1184no—
552C22⋊C4—1184no—
553C22⋊C4—1184no—
554C42—42no—
555C42—81no—
556C42—81no—
557C42—1184no—
558C42—1184no—
559C42C2×C4×D5912yes—
560C42C2×C4×D5912yes—
561C42C2×C4×D5912yes—
562C42C2×D23612yes—
563C42C2×D23612yes—
564C42C2×D23612yes—
565C23—1182no—
566C23—2361no—
567C23—2361no—
568C23—2361no—
569C23—2361no—
570C23—2361no—
571C23—2361no—
572C23C22×C22⋊D5911yescharacteristic
573Q8—44no—
574Q8—1182no—
575Q8—1182no—
576Q8—1182no—
577Q8—1182no—
578Q8—2361no—
579Q8—2361no—
580Q8—2361no—
581Q8—2361no—
582D4—1182no—
583D4—1182no—
584D4—2361no—
585D4—2361no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—1182no—
611C2×C4—1182no—
612C2×C4—1182no—
613C2×C4—2368no—
614C2×C4—2361no—
615C2×C4—2361no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4C2×(C2×D59)⋊C412yes—
621C2×C4C2×(C2×D59)⋊C412yes—
622C2×C4C2×(C2×D59)⋊C412yes—
623C2×C4C2×(C2×D59)⋊C412yes—
624C2×C4C2×(C2×D59)⋊C412yes—
625C2×C4C2×(C2×D59)⋊C412yes—
626C2×C4C22×C4×D5911yescharacteristic
627C2×C4C22×D23611yescharacteristic
628C2×C4#41×D5911yescharacteristic
629C2×C4C2×#1174568911yescharacteristic
630C2×C4#1427377311yescharacteristic
631C2×C4#1427377511yescharacteristic
632C8—1182no—
633C8—2361no—
634C8—2361no—
635C8—2361no—
636C22—4721no—
637C22—4721no—
638C22—4721no—
639C22—4721no—
640C22—2362no—
641C22—2362no—
642C22—2362no—
643C22C22×(C2×D59)⋊C411yescharacteristic
644C22#1683806311yescharacteristic
645C22#1683807111yescharacteristic
646C22#1683820011yescharacteristic
647C22#1683820011yescharacteristic
648C22#1683821311yescharacteristic
649C22#1683821711yescharacteristic
650C4—22no—
651C4—22no—
652C4—22no—
653C4—22no—
654C4—22no—
655C4—22no—
656C4—42no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—2362no—
661C4—2362no—
662C4—2362no—
663C4C4×#1174568911yescharacteristic
664C4#1683788411yescharacteristic
665C4#1683806411yescharacteristic
666C4#1683807411yescharacteristic
667C2—4722no—
668C2#2142693411yescharacteristic
669C2#2143261311yescharacteristic
670C2#2143262611yescharacteristic
671C2#2143692311yescharacteristic
672C2#2143693811yescharacteristic
673C2#2143715611yescharacteristic
674C2#2143717111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2355C2
socleC23×C59C22×D4
prime radicalC22×D236C23
cosocleC22×C4×C59C24
hypercenter#2355D59
hypocenterC59#22548
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. C2×#16837533C2semidirect
5. #21425019C2semidirect
6. #21424915C2semidirect
9. #21424108C2semidirect
11. #21424098C2semidirect
12. #21423929C2semidirect
14. C4×#14273650C2semidirect
15. C59×#2355C2semidirect
17. #16838125C4semidirect
332. #2355D59semidirect
399. C59#22548semidirect

Maximal subgroups

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

subgroupindex
C2×#168381252
C2×#168375332
#214250282
#214250192
#214249152
#214249102
#214249052
#214241082
#214241032
#214240982
#214239292
#214239242
C4×#142736502
C59×#23552
#2254859