Finite Group Databasebeta

← #28593227

Subgroups — #28593227

Order 15104.

1142 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838032C211yesmaximal, characteristic
2C2×#16837427C211yesmaximal, characteristic
3#21426450C211yesmaximal, characteristic
4#21425054C211yesmaximal, characteristic, complemented
5#21425052C211yesmaximal, characteristic, complemented
6#21425050C211yesmaximal, characteristic, complemented
7#21425048C211yesmaximal, characteristic, complemented
8#21425046C211yesmaximal, characteristic, complemented
9#21425043C211yesmaximal, characteristic, complemented
10#21425042C211yesmaximal, characteristic, complemented
11#21423814C211yesmaximal, characteristic
12#21423814C211yesmaximal, characteristic
13#21423811C211yesmaximal, characteristic
14#340×D59C211yesmaximal, characteristic
15C59×#1989C211yesmaximal, characteristic, complemented
16C22×#11745659C2211yescharacteristic
17C22×C8×D59C2211yescharacteristic
18#16838032—24no—
19#16838032C418yescomplemented
20C2×#14273727C2211yescharacteristic
21C2×#14273726—21no—
22C2×#14273726C2211yescharacteristic
23C2×#14273718C2211yescharacteristic
24C2×#14273717—21no—
25C2×#14273707—21no—
26C2×#14273705—21no—
27C2×#14273685C2211yescharacteristic
28C2×#14273685C2211yescharacteristic
29C2×#14273684C2211yescharacteristic
30C2×C4⋊C4×D59C2211yescharacteristic
31C2×C4⋊C4×D59C2211yescharacteristic
32#16837427—24no—
33C2×C4⋊(C59⋊C8)C2211yescharacteristic
34C2×Dic59⋊C8C2211yescharacteristic
35C2×Dic59⋊C8C2211yescharacteristic
36C4⋊C4×Dic59C2211yescharacteristic
37C4⋊C4×Dic59C2211yescharacteristic
38C4×Dic59⋊C4—21no—
39C4×C4⋊Dic59C2211yescharacteristic
40#16837253—21no—
41C4×(C2×D59)⋊C4—21no—
42#16837249—21no—
43#16837165C2211yescharacteristic
44#16837165C2211yescharacteristic
45#16837165C2211yescharacteristic
46#16837165C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837164C2211yescharacteristic
53#16837164C2211yescharacteristic
54#16837164C2211yescharacteristic
55C2×#125×C59C2211yescharacteristic
56C2×C4⋊C8×C59C2211yescharacteristic
57C4×C4⋊C4×C59C2211yescharacteristic
58C59×#340C2211yescharacteristic
59C59×#340C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#340C2211yescharacteristic
62C22×Dic118—21no—
63C22×Dic118—21no—
64C22×C4×D59—21no—
65C22×C4×D59—21no—
66C22×C4×D59C2311yescharacteristic
67C2×#11745659—22no—
68C2×#11745659—22no—
69C2×#11745659—22no—
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C2×C8×D59—22no—
73C2×C8×D59—22no—
74C2×C8×D59—22no—
75#14273727—22no—
76#14273727C2×C414yescomplemented
77#14273726—28no—
78#14273726—22no—
79#14273726C2×C414yescomplemented
80#14273718—22no—
81#14273718C2×C414yescomplemented
82#14273717—28no—
83#14273707—28no—
84#14273705—28no—
85#14273685—22no—
86#14273685—22no—
87#14273685C2×C414yes—
88#14273685Q814yescomplemented
89#14273684C2×C414yes—
90#14273684D414yes—
91C2×C4⋊Dic59—21no—
92C2×C4⋊Dic59—21no—
93C2×C4⋊Dic59C2311yescharacteristic
94C2×C4⋊Dic59C2311yescharacteristic
95C2×C4⋊Dic59C2311yescharacteristic
96C2×C4⋊Dic59C2311yescharacteristic
97C2×Dic59⋊C4—21no—
98C2×Dic59⋊C4—21no—
99C2×Dic59⋊C4—21no—
100C2×Dic59⋊C4—21no—
101C2×Dic59⋊C4D411yescharacteristic
102C2×Dic59⋊C4D411yescharacteristic
103C4⋊C4×D59—22no—
104C4⋊C4×D59—22no—
105C4⋊C4×D59C2×C414yes—
106C4⋊C4×D59Q814yescomplemented
107C2×(C2×D59)⋊C4—21no—
108C2×(C2×D59)⋊C4—21no—
109C2×(C2×D59)⋊C4D411yescharacteristic
110C2×(C2×D59)⋊C4D411yescharacteristic
111C2×C4×Dic59—21no—
112C2×C4×Dic59—21no—
113C2×C4×Dic59—21no—
114C2×C4×Dic59—21no—
115C2×C4×Dic59—21no—
116C2×C4×Dic59C2311yescharacteristic
117C4⋊(C59⋊C8)—22no—
118Dic59⋊C8—22no—
119Dic59⋊C8—22no—
120C59⋊#95—21no—
121C59⋊#95—21no—
122C59⋊#95—21no—
123C22×C8×C59C2311yescharacteristic
124C22×C8×C59C2311yescharacteristic
125#125×C59—22no—
126#125×C59C2×C414yescomplemented
127C2×C4⋊C4×C59—21no—
128C2×C4⋊C4×C59—21no—
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C4⋊C4×C59C2311yescharacteristic
132C2×C4⋊C4×C59C2311yescharacteristic
133C2×C42×C59—21no—
134C2×C42×C59C2311yescharacteristic
135C4⋊C8×C59—22no—
136#95×C59—21no—
137C23×D59C2×D411yescharacteristic
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59C2×D411yescharacteristic
143C22×C4×C59C2×D411yescharacteristic
144C22×C4×C59C2411yescharacteristic
145C22×Dic59—21no—
146C22×Dic59—21no—
147C22×Dic59—21no—
148C22×Dic59—21no—
149C22×Dic59C2×D411yescharacteristic
150C22×Dic59C2×D411yescharacteristic
151C22×Dic59C2×D411yescharacteristic
152C2×C4×D59—24no—
153C2×C4×D59—24no—
154C2×C4×D59—81no—
155C2×C4×D59—81no—
156C2×C4×D59—81no—
157C2×C4×D59—81no—
158C2×C4×D59C22×C412yes—
159C2×C4×D59C2×D412yes—
160C2×C4×D59C2×Q812yes—
161C2×C4×D59C2×Q812yes—
162C2×C4×D59#4112yes—
163C2×C4×D59#4112yes—
164C2×Dic118—24no—
165C2×Dic118—24no—
166C2×Dic118—81no—
167C2×Dic118—81no—
168C2×Dic118—81no—
169C2×Dic118—81no—
170C2×C8×C59—21no—
171C2×C8×C59—21no—
172C2×C8×C59—21no—
173C2×C8×C59—21no—
174C2×C8×C59—21no—
175C2×C8×C59—21no—
176C4⋊C4×C59—24no—
177C4⋊C4×C59—24no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59C22×C412yes—
183C4⋊C4×C59C22×C412yes—
184C4⋊C4×C59C2×Q812yes—
185C4⋊C4×C59C2×Q812yes—
186C42×C59—81no—
187C42×C59C22×C412yes—
188C42×C59C2×D412yes—
189(C2×D59)⋊C4—24no—
190(C2×D59)⋊C4—24no—
191(C2×D59)⋊C4C22⋊C414yes—
192(C2×D59)⋊C4C22⋊C414yes—
193C4⋊Dic59—24no—
194C4⋊Dic59—21no—
195C4⋊Dic59—21no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—24no—
199C4⋊Dic59C22×C412yes—
200C4⋊Dic59C22×C412yes—
201C4⋊Dic59C2×Q812yes—
202C4⋊Dic59C2×Q812yes—
203Dic59⋊C4—24no—
204Dic59⋊C4—24no—
205Dic59⋊C4—24no—
206Dic59⋊C4—24no—
207Dic59⋊C4C22⋊C414yes—
208Dic59⋊C4C22⋊C414yes—
209C4×Dic59—24no—
210C4×Dic59—24no—
211C4×Dic59—81no—
212C4×Dic59—81no—
213C4×Dic59—81no—
214C4×Dic59C22×C412yes—
215C4×Dic59C2×D412yes—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222#11745659—44no—
223C8×D59—44no—
224C23×C59C22×D411yescharacteristic
225C22×D59—21no—
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59C2×C22⋊C412yes—
230C22×D59C22⋊Q812yes—
231C22×D59C22⋊Q812yes—
232C2×C4×C59—21no—
233C2×C4×C59—21no—
234C2×C4×C59—21no—
235C2×C4×C59—21no—
236C2×C4×C59—22no—
237C2×C4×C59—22no—
238C2×C4×C59—22no—
239C2×C4×C59—22no—
240C2×C4×C59—41no—
241C2×C4×C59—41no—
242C2×C4×C59—41no—
243C2×C4×C59—41no—
244C2×C4×C59—41no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59C2×C22⋊C412yes—
249C2×C4×C59C2×C22⋊C412yes—
250C2×C4×C59C23×C411yescharacteristic
251C2×C4×C59C22×D411yescharacteristic
252C2×C4×C59C22×Q811yescharacteristic
253C2×C4×C59C22×Q811yescharacteristic
254C2×C4×C59C2×#4111yescharacteristic
255C2×C4×C59C2×#4111yescharacteristic
256C2×Dic59—21no—
257C2×Dic59—21no—
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—22no—
261C2×Dic59—22no—
262C2×Dic59—22no—
263C2×Dic59—22no—
264C2×Dic59—41no—
265C2×Dic59—41no—
266C2×Dic59—41no—
267C2×Dic59—41no—
268C2×Dic59—41no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59C2×C22⋊C412yes—
273C2×Dic59C2×C22⋊C412yes—
274C2×Dic59C2×C22⋊C412yes—
275C2×Dic59C22⋊Q812yes—
276C2×Dic59C22⋊Q812yes—
277C4×D59—84no—
278C4×D59—84no—
279C4×D59C4×Q814yes—
280C4×D59C4×Q814yes—
281C4×D59#12414yes—
282C4×D59C4⋊Q814yes—
283Dic118—84no—
284Dic118—84no—
285C8×C59—41no—
286C8×C59—41no—
287C59⋊C8—41no—
288C59⋊C8—41no—
289#21315—591nomaximal, Sylow
290C22×C59C22×C22⋊C411yescharacteristic
291C22×C59C2×C22⋊Q811yescharacteristic
292C22×C59C2×C22⋊Q811yescharacteristic
293C22×C59#57611yescharacteristic
294C22×C59#57711yescharacteristic
295C22×C59#57711yescharacteristic
296C22×C59#57811yescharacteristic
297C2×D59—22no—
298C2×D59—22no—
299C2×D59—22no—
300C2×D59—22no—
301C2×D59—22no—
302C2×D59—22no—
303C2×D59#39114yes—
304C4×C59—22no—
305C4×C59—22no—
306C4×C59—42no—
307C4×C59—42no—
308C4×C59—42no—
309C4×C59—42no—
310C4×C59C2×C4×Q811yescharacteristic
311C4×C59C2×C4×Q811yescharacteristic
312C4×C59C2×#12411yescharacteristic
313C4×C59C2×C4⋊Q811yescharacteristic
314Dic59—22no—
315Dic59—22no—
316Dic59—42no—
317Dic59—42no—
318Dic59—42no—
319Dic59—42no—
320Dic59#39114yes—
321C2×#544—591no—
322C2×#424—591no—
323#2274—591no—
324#1989—591no—
325#1989—591no—
326#1989—591no—
327#1989D5911yescharacteristic, complemented
328#1988—591no—
329#1988—591no—
330#1987—591no—
331#1987—591no—
332#1736—591no—
333#1736—591no—
334#1735—591no—
335C2×#340—591no—
336C2×C59C2×#39111yescharacteristic
337C2×C59#289711yescharacteristic
338C2×C59#289811yescharacteristic
339C2×C59#308111yescharacteristic
340C2×C59#308211yescharacteristic
341C2×C59#308311yescharacteristic
342C2×C59#308411yescharacteristic
343D59—24no—
344C22×M16—591no—
345C23×C8—591no—
346#544—598no—
347#544—1184no—
348C2×C4⋊Q8—591no—
349C2×C4⋊Q8—591no—
350C2×C4⋊Q8—1181no—
351C2×#125—591no—
352C2×#125—1181no—
353C2×#125C2×D5911yescharacteristic
354C2×C22⋊Q8—1181no—
355C2×C22⋊Q8—1181no—
356C2×#117—591no—
357C2×#117—591no—
358C2×#117—591no—
359C22×C4⋊C4—591no—
360C22×C4⋊C4—591no—
361#424—1184no—
362C2×C4⋊C8—591no—
363C2×C4⋊C8—591no—
364C2×C4⋊C8—591no—
365C2×C4⋊C8C2×D5911yescharacteristic
366C4×C4⋊C4—591no—
367C4×C4⋊C4—591no—
368C4×C4⋊C4—591no—
369C4×C4⋊C4—1181no—
370C4×C4⋊C4—1181no—
371C4×C4⋊C4C2×D5911yescharacteristic
372C4×C22⋊C4—1181no—
373C4×C22⋊C4—1181no—
374#340—591no—
375#340—591no—
376#340—591no—
377#340—591no—
378#340—591no—
379#340—591no—
380#340—591no—
381#340—591no—
382#340—591no—
383#340—591no—
384#340—591no—
385#340—591no—
386#340C2×D5911yescharacteristic
387#340C2×D5911yescharacteristic
388#340C2×D5911yescharacteristic
389#340C2×D5911yescharacteristic
390C59#2131511yescharacteristic, complemented, Sylow
391C22×Q8—1181no—
392C22×Q8—1181no—
393C23×C4—591no—
394C23×C4—1181no—
395C23×C4—1181no—
396C2×M16—1182no—
397C2×M16—1182no—
398C2×M16—1182no—
399C22×C8—591no—
400C22×C8—591no—
401C22×C8—1182no—
402C22×C8—1182no—
403C22×C8—1182no—
404C22×C8C22×D5911yescharacteristic
405C22×C8C22×D5911yescharacteristic
406C4⋊Q8—594no—
407C4⋊Q8—594no—
408C4⋊Q8—1182no—
409C4⋊Q8—1188no—
410C4⋊Q8—1182no—
411#125—22no—
412#125—594no—
413#125—1182no—
414#125—1188no—
415#125C4×D5914yescomplemented
416C22⋊Q8—1188no—
417C22⋊Q8—1188no—
418#117—594no—
419#117—594no—
420#117—594no—
421#117—594no—
422#117—1182no—
423#117—1182no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—591no—
427C2×C4⋊C4—591no—
428C2×C4⋊C4—591no—
429C2×C4⋊C4—591no—
430C2×C4⋊C4—591no—
431C2×C4⋊C4—591no—
432C2×C4⋊C4—594no—
433C2×C4⋊C4—594no—
434C2×C4⋊C4—1182no—
435C2×C4⋊C4—1182no—
436C2×C4⋊C4—1181no—
437C2×C4⋊C4—1181no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C22⋊C4—591no—
447C2×C22⋊C4—591no—
448C2×C22⋊C4—1181no—
449C2×C22⋊C4—1181no—
450C2×C42—21no—
451C2×C42—591no—
452C2×C42—1181no—
453C2×C42—1181no—
454C2×C42—1181no—
455C2×C42—1181no—
456C2×C42—1181no—
457C2×C42C22×D5911yescharacteristic
458C4⋊C8—22no—
459C4⋊C8—1182no—
460C4⋊C8—1182no—
461C4⋊C8—1182no—
462#95—21no—
463#95—1181no—
464#95—1181no—
465#95—1181no—
466C24—591no—
467C2×Q8—1184no—
468C2×Q8—1184no—
469C2×Q8—4721no—
470C2×Q8—4721no—
471C2×Q8—4721no—
472C2×Q8—4721no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—591no—
478C22×C4—592no—
479C22×C4—592no—
480C22×C4—592no—
481C22×C4—592no—
482C22×C4—592no—
483C22×C4—592no—
484C22×C4—591no—
485C22×C4—591no—
486C22×C4—1184no—
487C22×C4—1184no—
488C22×C4—1181no—
489C22×C4—1181no—
490C22×C4—1181no—
491C22×C4—1181no—
492C22×C4—4721no—
493C22×C4—4721no—
494C22×C4—4721no—
495C22×C4—4721no—
496C22×C4D4×D5911yescharacteristic
497C22×C4D4×D5911yescharacteristic
498C22×C4C23×D5911yescharacteristic
499M16—2364no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—1181no—
507C2×C8—1181no—
508C2×C8—1181no—
509C2×C8—1181no—
510C2×C8—1181no—
511C2×C8—1181no—
512C2×C8—2364no—
513C4⋊C4—24no—
514C4⋊C4—24no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—594no—
520C4⋊C4—594no—
521C4⋊C4—592no—
522C4⋊C4—592no—
523C4⋊C4—592no—
524C4⋊C4—592no—
525C4⋊C4—1184no—
526C4⋊C4—1184no—
527C4⋊C4—1184no—
528C4⋊C4—1184no—
529C4⋊C4—1184no—
530C4⋊C4—1184no—
531C4⋊C4—1181no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C4⋊C4—1181no—
535C4⋊C4C2×C4×D5912yes—
536C4⋊C4C2×C4×D5912yes—
537C4⋊C4Q8×D5912yes—
538C4⋊C4Q8×D5912yes—
539C22⋊C4—594no—
540C22⋊C4—594no—
541C22⋊C4—1184no—
542C22⋊C4—1184no—
543C42—81no—
544C42—592no—
545C42—592no—
546C42—1184no—
547C42—1184no—
548C42—4721no—
549C42—4721no—
550C42—4721no—
551C42C2×C4×D5912yes—
552C42D4×D5912yes—
553C23—592no—
554C23—592no—
555C23—592no—
556C23—1181no—
557C23—1181no—
558C23—1181no—
559C23—1181no—
560C23C2×D4×D5911yescharacteristic
561Q8—4724no—
562Q8—4724no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—592no—
580C2×C4—592no—
581C2×C4—592no—
582C2×C4—594no—
583C2×C4—594no—
584C2×C4—594no—
585C2×C4—594no—
586C2×C4—592no—
587C2×C4—592no—
588C2×C4—1181no—
589C2×C4—1181no—
590C2×C4—1181no—
591C2×C4—1181no—
592C2×C4—1182no—
593C2×C4—1182no—
594C2×C4—1182no—
595C2×C4—1182no—
596C2×C4—4724no—
597C2×C4—4724no—
598C2×C4—2361no—
599C2×C4—2361no—
600C2×C4—2361no—
601C2×C4—2361no—
602C2×C4—2361no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4C22⋊C4×D5912yes—
607C2×C4C22⋊C4×D5912yes—
608C2×C4C22×C4×D5911yescharacteristic
609C2×C4C2×D4×D5911yescharacteristic
610C2×C4C2×Q8×D5911yescharacteristic
611C2×C4C2×Q8×D5911yescharacteristic
612C2×C4#41×D5911yescharacteristic
613C2×C4#41×D5911yescharacteristic
614C8—41no—
615C8—41no—
616C8—2361no—
617C8—2361no—
618C22—594no—
619C22—1182no—
620C22—1182no—
621C22—1182no—
622C22—1182no—
623C22—1182no—
624C22—1182no—
625C22C2×C22⋊C4×D5911yescharacteristic
626C22C22⋊Q8×D5911yescharacteristic
627C22C22⋊Q8×D5911yescharacteristic
628C22#1683820611yescharacteristic
629C22#1683820911yescharacteristic
630C22#1683821111yescharacteristic
631C22#1683821611yescharacteristic
632C4—22no—
633C4—22no—
634C4—42no—
635C4—42no—
636C4—42no—
637C4—42no—
638C4—594no—
639C4—1182no—
640C4—1182no—
641C4—2362no—
642C4—2362no—
643C4—2362no—
644C4—2362no—
645C4C4×Q8×D5911yescharacteristic
646C4C4×Q8×D5911yescharacteristic
647C4#124×D5911yescharacteristic
648C4C4⋊Q8×D5911yescharacteristic
649C2—1184no—
650C2#391×D5911yescharacteristic
651C2#2143262011yescharacteristic
652C2#2143262511yescharacteristic
653C2#2143392611yescharacteristic
654C2#2143393711yescharacteristic
655C2#2143394811yescharacteristic
656C2#2143396111yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1989C2
socleC23×C59C22×D4
prime radicalC23×D59C2×D4
cosocleC22×C4×C59C24
hypercenter#1989D59
hypocenterC59#21315
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1989

Complements

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

NH ≅ G/Ntype
4. #21425054C2semidirect
5. #21425052C2semidirect
6. #21425050C2semidirect
7. #21425048C2semidirect
8. #21425046C2semidirect
9. #21425043C2semidirect
10. #21425042C2semidirect
15. C59×#1989C2semidirect
19. #16838032C4semidirect
76. #14273727C2×C4semidirect
79. #14273726C2×C4semidirect
81. #14273718C2×C4semidirect
88. #14273685Q8semidirect
106. C4⋊C4×D59Q8semidirect
126. #125×C59C2×C4semidirect
327. #1989D59semidirect
390. C59#21315semidirect
415. #125C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380322
C2×#168374272
#214264502
#214250542
#214250522
#214250502
#214250482
#214250462
#214250432
#214250422
#214238142
#214238112
#340×D592
C59×#19892
#2131559