Finite Group Databasebeta

← #28515870

Subgroups — #28515870

Order 15104.

1926 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273685C211yesmaximal, characteristic
2C2×#16837271C211yesmaximal, characteristic, complemented
3C2×#16837266C211yesmaximal, characteristic, complemented
4C2×#16837261C212yesmaximal
5#21422349C211yesmaximal, characteristic, complemented
6#21422348C212yesmaximal, complemented
7#21422342C211yesmaximal, characteristic
8#21422340C212yesmaximal
9#21422338C211yesmaximal, characteristic
10Dic59⋊#95C212yesmaximal, complemented
11C59×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D59C2211yescharacteristic
13C2×#14273685—24no—
14C2×#14273685—24no—
15C2×#14273685C418yescomplemented
16C22×C4⋊Dic59C2211yescharacteristic
17C22×C4⋊Dic59C2211yescharacteristic
18C22×Dic59⋊C4C2212yes—
19C22×Dic59⋊C4C2212yes—
20C22×Dic59⋊C4C2212yes—
21C22×(C2×D59)⋊C4C2211yescharacteristic
22C22×(C2×D59)⋊C4C2211yescharacteristic
23C22×(C2×D59)⋊C4C2212yes—
24C22×(C2×D59)⋊C4C2212yes—
25C22×C4×Dic59C2211yescharacteristic
26C22×C4×Dic59C2211yescharacteristic
27#16837271—24no—
28#16837266—24no—
29#16837261—28no—
30C2×C59⋊#95C2211yescharacteristic
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C2×C59⋊#95C2212yes—
34C2×C59⋊#95C2212yes—
35C2×C59⋊#95C2212yes—
36C22×C4⋊C4×C59C2211yescharacteristic
37C22×C4⋊C4×C59C2211yescharacteristic
38C2×#95×C59C2211yescharacteristic
39C2×#95×C59C2212yes—
40C2×#95×C59C2212yes—
41C24×D59C2311yescharacteristic
42C23×Dic59C2312yes—
43C23×Dic59C2312yes—
44C23×Dic59C2311yescharacteristic
45C23×Dic59C2311yescharacteristic
46C23×Dic59C2311yescharacteristic
47C22×C4×D59—22no—
48C22×C4×D59—22no—
49C22×C4×D59—22no—
50C22×C4×D59—22no—
51C22×C4×D59C2×C414yes—
52C22×C4×D59D414yes—
53C22×C4×D59Q814yes—
54#14273685—232no—
55C2×C4⋊Dic59—22no—
56C2×C4⋊Dic59—22no—
57C2×C4⋊Dic59—22no—
58C2×C4⋊Dic59—42no—
59C2×C4⋊Dic59C2×C414yes—
60C2×Dic59⋊C4—24no—
61C2×Dic59⋊C4—24no—
62C2×Dic59⋊C4—24no—
63C2×Dic59⋊C4—24no—
64C2×Dic59⋊C4—24no—
65C2×Dic59⋊C4—24no—
66C2×Dic59⋊C4—24no—
67C2×Dic59⋊C4—42no—
68C2×Dic59⋊C4—42no—
69C2×(C2×D59)⋊C4—22no—
70C2×(C2×D59)⋊C4—22no—
71C2×(C2×D59)⋊C4—22no—
72C2×(C2×D59)⋊C4—22no—
73C2×(C2×D59)⋊C4—24no—
74C2×(C2×D59)⋊C4—24no—
75C2×(C2×D59)⋊C4—42no—
76C2×(C2×D59)⋊C4—42no—
77C2×(C2×D59)⋊C4—42no—
78C2×(C2×D59)⋊C4—42no—
79C2×(C2×D59)⋊C4C2×C414yes—
80C2×(C2×D59)⋊C4C2×C414yes—
81C2×C4×Dic59—22no—
82C2×C4×Dic59—22no—
83C2×C4×Dic59C2×C414yes—
84C2×C4×Dic59C2×C414yes—
85C2×C4×Dic59D414yes—
86C2×C4×Dic59D414yes—
87C59⋊#95—24no—
88C59⋊#95—22no—
89C59⋊#95—24no—
90C59⋊#95—42no—
91C59⋊#95—42no—
92C59⋊#95—42no—
93C23×C4×C59C2312yes—
94C23×C4×C59C2312yes—
95C23×C4×C59C2311yescharacteristic
96C23×C4×C59C2311yescharacteristic
97C23×C4×C59C2311yescharacteristic
98C2×C4⋊C4×C59—22no—
99C2×C4⋊C4×C59—22no—
100C2×C4⋊C4×C59—22no—
101C2×C4⋊C4×C59—42no—
102C2×C4⋊C4×C59C2×C414yes—
103#95×C59—24no—
104#95×C59—22no—
105#95×C59—42no—
106C24×C59C2411yescharacteristic
107C23×D59—21no—
108C23×D59—21no—
109C23×D59—21no—
110C23×D59—21no—
111C23×D59—22no—
112C23×D59—22no—
113C23×D59—22no—
114C23×D59—22no—
115C23×D59C22×C412yes—
116C23×D59C2×D412yes—
117C23×D59C2×Q812yes—
118C22×C4×C59—21no—
119C22×C4×C59—21no—
120C22×C4×C59—21no—
121C22×C4×C59—21no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—21no—
125C22×C4×C59—21no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—22no—
130C22×C4×C59—22no—
131C22×C4×C59—22no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—22no—
142C22×C4×C59C22×C412yes—
143C22×C4×C59C22×C412yes—
144C22×C4×C59C22×C412yes—
145C22×C4×C59C2×D412yes—
146C22×C4×C59C2×D412yes—
147C22×C4×C59C2×D412yes—
148C22×C4×C59C2×Q812yes—
149C22×Dic59—22no—
150C22×Dic59—22no—
151C22×Dic59—21no—
152C22×Dic59—21no—
153C22×Dic59—22no—
154C22×Dic59—22no—
155C22×Dic59—22no—
156C22×Dic59—22no—
157C22×Dic59—22no—
158C22×Dic59—22no—
159C22×Dic59—22no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
163C22×Dic59—22no—
164C22×Dic59—22no—
165C22×Dic59—22no—
166C22×Dic59—22no—
167C22×Dic59—22no—
168C22×Dic59—22no—
169C22×Dic59C22×C412yes—
170C22×Dic59C22×C412yes—
171C22×Dic59C22×C412yes—
172C22×Dic59C2×D412yes—
173C22×Dic59C2×D412yes—
174C22×Dic59C2×D412yes—
175C22×Dic59C2×D412yes—
176C22×Dic59C2×D412yes—
177C22×Dic59C2×Q812yes—
178C22×Dic59#4112yes—
179C22×Dic59#4112yes—
180C2×C4×D59—28no—
181C2×C4×D59—28no—
182C2×C4×D59—28no—
183C2×C4×D59—28no—
184C2×C4×D59—28no—
185C2×C4×D59—28no—
186C2×C4×D59C4⋊C4116yescomplemented
187C4⋊C4×C59—28no—
188C4⋊C4×C59—44no—
189(C2×D59)⋊C4—28no—
190(C2×D59)⋊C4—28no—
191(C2×D59)⋊C4—48no—
192(C2×D59)⋊C4—48no—
193C4⋊Dic59—28no—
194C4⋊Dic59—44no—
195Dic59⋊C4—48no—
196Dic59⋊C4—48no—
197Dic59⋊C4—48no—
198C4×Dic59—28no—
199C4×Dic59C22⋊C4116yescomplemented
200C23×C59C23×C411yescharacteristic
201C23×C59C22×D411yescharacteristic
202C23×C59C22×D411yescharacteristic
203C23×C59C22×D411yescharacteristic
204C23×C59C22×Q811yescharacteristic
205C23×C59C2×#4111yescharacteristic
206C23×C59C2×#4111yescharacteristic
207C23×C59H(5,𝔽2)12yes—
208C23×C59H(5,𝔽2)12yes—
209C23×C592−1+412yes—
210C23×C592−1+412yes—
211C22×D59—22no—
212C22×D59—22no—
213C22×D59—24no—
214C22×D59—24no—
215C22×D59—22no—
216C22×D59—22no—
217C22×D59—22no—
218C22×D59—22no—
219C22×D59—24no—
220C22×D59—24no—
221C22×D59—24no—
222C22×D59—24no—
223C22×D59—41no—
224C22×D59—41no—
225C22×D59—41no—
226C22×D59—41no—
227C22×D59—42no—
228C22×D59—42no—
229C22×D59—42no—
230C22×D59—42no—
231C22×D59—42no—
232C22×D59—42no—
233C22×D59C2×C4⋊C414yes—
234C2×C4×C59—22no—
235C2×C4×C59—22no—
236C2×C4×C59—24no—
237C2×C4×C59—22no—
238C2×C4×C59—22no—
239C2×C4×C59—22no—
240C2×C4×C59—22no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—24no—
244C2×C4×C59—22no—
245C2×C4×C59—24no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—42no—
249C2×C4×C59—42no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59—42no—
257C2×C4×C59—42no—
258C2×C4×C59—42no—
259C2×C4×C59—42no—
260C2×C4×C59—42no—
261C2×C4×C59—42no—
262C2×C4×C59—42no—
263C2×C4×C59C2×C22⋊C414yes—
264C2×C4×C59C2×C4⋊C414yes—
265C2×Dic59—24no—
266C2×Dic59—22no—
267C2×Dic59—22no—
268C2×Dic59—24no—
269C2×Dic59—22no—
270C2×Dic59—24no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—42no—
274C2×Dic59—42no—
275C2×Dic59—42no—
276C2×Dic59—42no—
277C2×Dic59—42no—
278C2×Dic59—42no—
279C2×Dic59—42no—
280C2×Dic59—42no—
281C2×Dic59—42no—
282C2×Dic59—42no—
283C2×Dic59—42no—
284C2×Dic59—42no—
285C2×Dic59—42no—
286C2×Dic59—42no—
287C2×Dic59—42no—
288C2×Dic59C2×C22⋊C414yes—
289C2×Dic59C2×C22⋊C414yes—
290C2×Dic59C2×C4⋊C414yes—
291C2×Dic59#11714yes—
292C2×Dic59#12114yes—
293C2×Dic59#12114yes—
294C2×Dic59C22⋊Q814yes—
295C2×Dic59C22⋊Q814yes—
296C4×D59—232no—
297#14340—591nomaximal, Sylow
298C22×C59C22×C22⋊C411yescharacteristic
299C22×C59C22×C4⋊C411yescharacteristic
300C22×C59C2×#11711yescharacteristic
301C22×C59#52012yes—
302C22×C59#52012yes—
303C22×C59C2×#12111yescharacteristic
304C22×C59C2×#12111yescharacteristic
305C22×C59C2×C22⋊Q811yescharacteristic
306C22×C59C2×C22⋊Q811yescharacteristic
307C22×C59#53511yescharacteristic
308C22×C59#53512yes—
309C22×C59#53511yescharacteristic
310C22×C59#53611yescharacteristic
311C22×C59#53612yes—
312C22×C59#53611yescharacteristic
313C22×C59#53712yes—
314C22×C59#53712yes—
315C22×C59#54012yes—
316C22×C59#54112yes—
317C22×C59#54212yes—
318C22×C59#54212yes—
319C22×C59#54412yes—
320C22×C59#54412yes—
321C2×D59—28no—
322C2×D59—24no—
323C2×D59—42no—
324C2×D59—42no—
325C2×D59—44no—
326C2×D59—42no—
327C2×D59—44no—
328C2×D59—42no—
329C2×D59—42no—
330C2×D59—42no—
331C2×D59—44no—
332C4×C59—24no—
333C4×C59—24no—
334C4×C59—42no—
335C4×C59—82no—
336C4×C59—82no—
337Dic59—24no—
338Dic59—42no—
339Dic59—82no—
340Dic59—82no—
341Dic59#38018yes—
342C22×#117—591no—
343C2×#384—591no—
344C2×#382—591no—
345C2×#380—592no—
346#1441—592no—
347#1441—591no—
348#1441D5911yescharacteristic, complemented
349#1439—592no—
350#1439—591no—
351#1439—591no—
352C4⋊#95—592no—
353C2×C59C2×#38011yescharacteristic
354C2×C59#231111yescharacteristic
355C2×C59#231111yescharacteristic
356C2×C59#231412yes—
357C2×C59#231712yes—
358C2×C59#261911yescharacteristic
359C2×C59#262012yes—
360C2×C59#262111yescharacteristic
361C2×C59#262811yescharacteristic
362C2×C59#262811yescharacteristic
363C2×C59#262912yes—
364D59—44no—
365C24×C4—591no—
366C2×#117—598no—
367C2×#117—1184no—
368C2×#117—1184no—
369C22×C4⋊C4—591no—
370C22×C4⋊C4—592no—
371C22×C4⋊C4—592no—
372C22×C4⋊C4—592no—
373C22×C4⋊C4—591no—
374C22×C4⋊C4C2×D5911yescharacteristic
375C22×C4⋊C4C2×D5911yescharacteristic
376C22×C22⋊C4—591no—
377C22×C22⋊C4—591no—
378C22×C22⋊C4—592no—
379C22×C22⋊C4—592no—
380C22×C42—591no—
381C22×C42—591no—
382#384—1184no—
383#382—1184no—
384#380—1188no—
385C2×#95—592no—
386C2×#95—591no—
387C2×#95—592no—
388C2×#95—592no—
389C2×#95—592no—
390C2×#95—592no—
391C2×#95C2×D5911yescharacteristic
392C2×#95C2×D5912yes—
393C2×#95C2×D5912yes—
394C59#1434011yescharacteristic, complemented, Sylow
395C25—591no—
396C23×C4—591no—
397C23×C4—591no—
398C23×C4—594no—
399C23×C4—594no—
400C23×C4—594no—
401C23×C4—591no—
402C23×C4—592no—
403C23×C4—592no—
404C23×C4—1182no—
405C23×C4—1182no—
406C23×C4—1182no—
407C23×C4—1182no—
408C23×C4C22×D5912yes—
409C23×C4C22×D5912yes—
410C23×C4C22×D5911yescharacteristic
411C23×C4C22×D5911yescharacteristic
412C23×C4C22×D5911yescharacteristic
413#117—11832no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—42no—
418C2×C4⋊C4—594no—
419C2×C4⋊C4—1182no—
420C2×C4⋊C4—1182no—
421C2×C4⋊C4—1184no—
422C2×C4⋊C4—1184no—
423C2×C4⋊C4—1184no—
424C2×C4⋊C4—1184no—
425C2×C4⋊C4—1184no—
426C2×C4⋊C4—1184no—
427C2×C4⋊C4—1184no—
428C2×C4⋊C4—1182no—
429C2×C4⋊C4—2362no—
430C2×C4⋊C4—2362no—
431C2×C4⋊C4—2362no—
432C2×C4⋊C4C4×D5914yes—
433C2×C22⋊C4—594no—
434C2×C22⋊C4—594no—
435C2×C22⋊C4—1182no—
436C2×C22⋊C4—1182no—
437C2×C22⋊C4—1182no—
438C2×C22⋊C4—1182no—
439C2×C22⋊C4—1184no—
440C2×C22⋊C4—1184no—
441C2×C22⋊C4—2362no—
442C2×C22⋊C4—2362no—
443C2×C22⋊C4—2362no—
444C2×C22⋊C4—2362no—
445C2×C42—594no—
446C2×C42—594no—
447C2×C42—594no—
448C2×C42—594no—
449C2×C42—1182no—
450C2×C42—1182no—
451#95—24no—
452#95—22no—
453#95—42no—
454#95—1184no—
455#95—1184no—
456#95—1182no—
457#95—2362no—
458#95—2362no—
459#95—2362no—
460C24—592no—
461C24—592no—
462C24—592no—
463C24—1181no—
464C24—1181no—
465C24—1181no—
466C24—1181no—
467C24—1182no—
468C24—1182no—
469C24—1182no—
470C24—1182no—
471C24C23×D5911yescharacteristic
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—592no—
497C22×C4—592no—
498C22×C4—592no—
499C22×C4—592no—
500C22×C4—592no—
501C22×C4—592no—
502C22×C4—592no—
503C22×C4—592no—
504C22×C4—592no—
505C22×C4—592no—
506C22×C4—5916no—
507C22×C4—592no—
508C22×C4—1188no—
509C22×C4—1188no—
510C22×C4—1188no—
511C22×C4—1188no—
512C22×C4—1188no—
513C22×C4—1188no—
514C22×C4—1182no—
515C22×C4—1182no—
516C22×C4—1181no—
517C22×C4—1181no—
518C22×C4—1182no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—1182no—
522C22×C4—1182no—
523C22×C4—1182no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4C2×C4×D5912yes—
535C22×C4C2×C4×D5912yes—
536C22×C4C2×C4×D5912yes—
537C22×C4D4×D5912yes—
538C22×C4D4×D5912yes—
539C22×C4D4×D5912yes—
540C22×C4Q8×D5912yes—
541C4⋊C4—28no—
542C4⋊C4—44no—
543C4⋊C4—1188no—
544C4⋊C4—2364no—
545C4⋊C4—2368no—
546C4⋊C4—2368no—
547C4⋊C4—2368no—
548C22⋊C4—1188no—
549C22⋊C4—1188no—
550C22⋊C4—2368no—
551C22⋊C4—2368no—
552C42—5916no—
553C42—1188no—
554C23—594no—
555C23—1182no—
556C23—1182no—
557C23—1182no—
558C23—1182no—
559C23—1184no—
560C23—1184no—
561C23—1184no—
562C23—1184no—
563C23—1182no—
564C23—1182no—
565C23—1184no—
566C23—1184no—
567C23—2361no—
568C23—2361no—
569C23—2361no—
570C23—2361no—
571C23—2362no—
572C23—2362no—
573C23—2362no—
574C23—2362no—
575C23—2362no—
576C23—2362no—
577C23C22×C4×D5911yescharacteristic
578C23C2×D4×D5911yescharacteristic
579C23C2×D4×D5911yescharacteristic
580C23C2×D4×D5911yescharacteristic
581C23C2×Q8×D5911yescharacteristic
582C23#41×D5911yescharacteristic
583C23#41×D5911yescharacteristic
584C23#1427377212yes—
585C23#1427377312yes—
586C23#1427377412yes—
587C23#1427377512yes—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—594no—
618C2×C4—594no—
619C2×C4—594no—
620C2×C4—594no—
621C2×C4—594no—
622C2×C4—594no—
623C2×C4—594no—
624C2×C4—594no—
625C2×C4—11832no—
626C2×C4—1182no—
627C2×C4—1182no—
628C2×C4—1184no—
629C2×C4—1184no—
630C2×C4—1182no—
631C2×C4—1184no—
632C2×C4—2362no—
633C2×C4—2362no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2362no—
638C2×C4—2362no—
639C2×C4—2362no—
640C2×C4—2362no—
641C2×C4—2362no—
642C2×C4—2362no—
643C2×C4—2362no—
644C2×C4—2362no—
645C2×C4—2362no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2362no—
649C2×C4C22⋊C4×D5914yes—
650C2×C4C4⋊C4×D5914yes—
651C22—1188no—
652C22—1184no—
653C22—2364no—
654C22—2362no—
655C22—2364no—
656C22—2362no—
657C22—2362no—
658C22—2362no—
659C22—2364no—
660C22—2362no—
661C22—2362no—
662C22C2×C22⋊C4×D5911yescharacteristic
663C22C2×C4⋊C4×D5911yescharacteristic
664C22#117×D5911yescharacteristic
665C22#1683788112yes—
666C22#1683788412yes—
667C22#121×D5911yescharacteristic
668C22#121×D5911yescharacteristic
669C22C22⋊Q8×D5911yescharacteristic
670C22C22⋊Q8×D5911yescharacteristic
671C22#1683796711yescharacteristic
672C22#1683796812yes—
673C22#1683797011yescharacteristic
674C22#1683797411yescharacteristic
675C22#1683797512yes—
676C22#1683797711yescharacteristic
677C22#1683797912yes—
678C22#1683798212yes—
679C22#1683800412yes—
680C22#1683801112yes—
681C22#1683801812yes—
682C22#1683802212yes—
683C22#1683802912yes—
684C22#1683803212yes—
685C4—24no—
686C4—24no—
687C4—42no—
688C4—82no—
689C4—82no—
690C4—598no—
691C4—1184no—
692C4—4722no—
693C4—4722no—
694C4—2362no—
695C2—2364no—
696C2#380×D5911yescharacteristic
697C2#2142668311yescharacteristic
698C2#2142668711yescharacteristic
699C2#2142670212yes—
700C2#2142671812yes—
701C2#2142984811yescharacteristic
702C2#2142985512yes—
703C2#2142986411yescharacteristic
704C2#2142991911yescharacteristic
705C2#2142992411yescharacteristic
706C2#2142992812yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC59×#1441C2
socle, cosocleC24×C59C24
prime radicalC24×D59C23
hypercenter#1441D59
hypocenterC59#14340
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
2. C2×#16837271C2semidirect
3. C2×#16837266C2semidirect
5. #21422349C2semidirect
6. #21422348C2semidirect
10. Dic59⋊#95C2semidirect
11. C59×#1441C2semidirect
15. C2×#14273685C4semidirect
186. C2×C4×D59C4⋊C4semidirect
199. C4×Dic59C22⋊C4semidirect
348. #1441D59semidirect
394. C59#14340semidirect

Maximal subgroups

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

subgroupindex
C22×#142736852
C2×#168372712
C2×#168372662
C2×#168372612
#214223492
#214223482
#214223422
#214223402
#214223382
Dic59⋊#952
C59×#14412
#1434059