Finite Group Databasebeta

← #28637091

Subgroups — #28637091

Order 15104.

906 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837735C211yesmaximal, characteristic, complemented
2C2×#16837650C211yesmaximal, characteristic
3#21428567C211yesmaximal, characteristic
4#21425567C211yesmaximal, characteristic, complemented
5#21425504C211yesmaximal, characteristic, complemented
6#21425481C211yesmaximal, characteristic, complemented
7#21425411C211yesmaximal, characteristic, complemented
8#21424854C211yesmaximal, characteristic, complemented
9#21424716C211yesmaximal, characteristic, complemented
10#21424451C211yesmaximal, characteristic, complemented
11#21424418C211yesmaximal, characteristic
12#21424281C211yesmaximal, characteristic, complemented
13#21424101C211yesmaximal, characteristic, complemented
14#21423817C211yesmaximal, characteristic, complemented
15C59×#2362C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18C2×#14273711—21no—
19C2×#14273711—21no—
20C2×#14273701C2211yescharacteristic
21C22×C4⋊Dic59C2211yescharacteristic
22#16837735—24no—
23#16837650—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273660C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×C4⋊(C59⋊C8)C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×#14273647C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36#16837339—21no—
37#16837339—21no—
38#16837304C2211yescharacteristic
39#16837304C2211yescharacteristic
40#16837272C2211yescharacteristic
41#16837272C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C2×#117×C59C2211yescharacteristic
53C59×#391C2211yescharacteristic
54C59×#389C2211yescharacteristic
55C59×#388—21no—
56C59×#388—21no—
57C59×#387—21no—
58C4×C4⋊C4×C59—21no—
59C4×C4⋊C4×C59C2211yescharacteristic
60C4×C22⋊C4×C59C2211yescharacteristic
61C22×D236C2311yescharacteristic
62C22×C22⋊D59—21no—
63C23×Dic59—21no—
64C2×#11745671—22no—
65C2×#11745671—22no—
66C2×#11745671—41no—
67C2×#11745664—22no—
68C2×#11745664—22no—
69C2×#11745664—41no—
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74#14273711—44no—
75#14273711—44no—
76#14273701—22no—
77#14273701—22no—
78C2×C4⋊Dic59—22no—
79C2×C4⋊Dic59—22no—
80C2×C4⋊Dic59—21no—
81C2×C4⋊Dic59—21no—
82C2×C4⋊Dic59—21no—
83C2×C4⋊Dic59—21no—
84C2×C4⋊Dic59—21no—
85C2×C4⋊Dic59C2311yescharacteristic
86C2×C4⋊Dic59C2311yescharacteristic
87C2×C4⋊Dic59C2311yescharacteristic
88C2×(C2×D59)⋊C4—21no—
89C2×(C2×D59)⋊C4—21no—
90C2×(C2×D59)⋊C4—21no—
91C2×(C2×D59)⋊C4—21no—
92C2×(C2×D59)⋊C4—21no—
93#14273660—22no—
94#14273660—22no—
95#14273660—22no—
96C4⋊(C59⋊C8)—22no—
97C4⋊(C59⋊C8)—41no—
98#14273651—22no—
99#14273651—22no—
100#14273651—22no—
101#14273647—22no—
102#14273647—22no—
103#14273647—41no—
104C22⋊(C59⋊C8)—22no—
105C22×Q8×C59C2311yescharacteristic
106C23×C4×C59C2311yescharacteristic
107C22⋊Q8×C59—22no—
108C22⋊Q8×C59D414yes—
109C4×Q8×C59—22no—
110C4×Q8×C59—41no—
111#117×C59—22no—
112#117×C59—41no—
113C2×C4⋊C4×C59—21no—
114C2×C4⋊C4×C59—21no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C4⋊C4×C59C2311yescharacteristic
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C22⋊C4×C59—21no—
120C2×C22⋊C4×C59—21no—
121C2×C22⋊C4×C59D411yescharacteristic
122C2×C22⋊C4×C59D411yescharacteristic
123C2×C42×C59—21no—
124C2×C42×C59—21no—
125C2×C42×C59—21no—
126C2×C42×C59C2311yescharacteristic
127C2×C42×C59C2311yescharacteristic
128#95×C59—21no—
129#95×C59—21no—
130#95×C59—21no—
131#95×C59—21no—
132#95×C59D411yescharacteristic
133#95×C59D411yescharacteristic
134C24×C59C2×D411yescharacteristic
135C23×D59—21no—
136C2×Q8×C59—21no—
137C2×Q8×C59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59C2×D412yes—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D412yes—
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59#4112yes—
157C22×C4×C59C2411yescharacteristic
158C2×C22⋊D59—42no—
159C2×C22⋊D59—42no—
160C2×C22⋊D59—42no—
161C22×Dic59—21no—
162C22×Dic59—21no—
163C22×Dic59—21no—
164C22×Dic59—42no—
165C22×Dic59—42no—
166C22×Dic59—42no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236—21no—
170C2×D236—21no—
171C2×D236—21no—
172C2×D236—21no—
173C4⋊C4×C59—24no—
174C4⋊C4×C59—21no—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—21no—
178C4⋊C4×C59—42no—
179C4⋊C4×C59—42no—
180C4⋊C4×C59C2×D412yes—
181C4⋊C4×C59#4112yes—
182C22⋊C4×C59—24no—
183C22⋊C4×C59—22no—
184C22⋊C4×C59—22no—
185C22⋊C4×C59—42no—
186C42×C59—21no—
187C42×C59—21no—
188C42×C59—21no—
189C42×C59—21no—
190C42×C59—42no—
191C42×C59—42no—
192C42×C59—42no—
193#11745671—44no—
194(C2×D59)⋊C4—42no—
195(C2×D59)⋊C4—42no—
196(C2×D59)⋊C4—42no—
197(C2×D59)⋊C4—42no—
198(C2×D59)⋊C4—42no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—42no—
206C4⋊Dic59—42no—
207C4⋊Dic59—42no—
208C4⋊Dic59—42no—
209C4⋊Dic59—42no—
210#11745664—44no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
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#4112yes—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59#12112yes—
230C23×C59C22×D411yescharacteristic
231C22×D59—41no—
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238Q8×C59—22no—
239Q8×C59—22no—
240Q8×C59—41no—
241Q8×C59—41no—
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—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—21no—
255C2×C4×C59—22no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59#12112yes—
271C2×C4×C59AGL(1,ℤ/8)12yes—
272C2×C4×C59AGL(1,ℤ/8)12yes—
273C2×C4×C59C22×D411yescharacteristic
274C2×C4×C59C2×#4111yescharacteristic
275C2×C4×C59C2×#4111yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59H(5,𝔽2)11yescharacteristic
278C2×C4×C592−1+411yescharacteristic
279C22⋊D59—84no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—84no—
290D236—41no—
291D236—41no—
292D236—41no—
293D236—41no—
294C59⋊C8—22no—
295C59⋊C8—41no—
296C59⋊C8—41no—
297C59⋊C8—41no—
298#25217—591nomaximal, Sylow
299C22×C59—22no—
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—41no—
303C22×C59—41no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59C2×#12111yescharacteristic
307C22×C59#54611yescharacteristic
308C22×C59#54711yescharacteristic
309C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
310C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
311C22×C59#57811yescharacteristic
312C22×C59#57811yescharacteristic
313C2×D59—81no—
314C2×D59—81no—
315C2×D59—81no—
316C2×D59—81no—
317C2×D59—81no—
318C2×D59—81no—
319C2×D59—81no—
320C4×C59—22no—
321C4×C59—22no—
322C4×C59—22no—
323C4×C59—41no—
324C4×C59—42no—
325C4×C59—41no—
326C4×C59—42no—
327C4×C59—42no—
328C4×C59—81no—
329C4×C59#52911yescharacteristic
330C4×C59#53911yescharacteristic
331C4×C59#54611yescharacteristic
332C4×C59#54711yescharacteristic
333Dic59—81no—
334Dic59—81no—
335Dic59—81no—
336C2×#484—591no—
337C2×#468—591no—
338#2501—591no—
339#2362D5911yescharacteristic, complemented
340#2083—591no—
341#2072—591no—
342#2067—591no—
343#2055—591no—
344#1947—591no—
345#1925—591no—
346#1880—591no—
347#1875—591no—
348#1851—591no—
349#1803—591no—
350#1736—591no—
351C2×C59—42no—
352C2×C59#242511yescharacteristic
353C2×C59#303811yescharacteristic
354C2×C59#304411yescharacteristic
355C2×C59#330811yescharacteristic
356C2×C59#333011yescharacteristic
357C2×C59#334311yescharacteristic
358C2×C59#335311yescharacteristic
359D59—161no—
360C22×SD16—591no—
361C22×M16—591no—
362C2×#123—1181no—
363C2×#123—1181no—
364C2×C22⋊Q8C2×D5911yescharacteristic
365C2×#121—591no—
366C2×C4×Q8C2×D5911yescharacteristic
367C2×#117C2×D5911yescharacteristic
368C22×C4⋊C4—591no—
369#484—1184no—
370#468—1184no—
371C2×#107—591no—
372C2×#107—591no—
373C2×#107—591no—
374C2×C4⋊C8—591no—
375C2×C4⋊C8—591no—
376C2×#103—591no—
377C2×#103—591no—
378C2×#103—591no—
379C2×#102—591no—
380C2×#102—591no—
381C2×#102—591no—
382C2×C22⋊C8—591no—
383#399—1181no—
384#399—1181no—
385#391C2×D5911yescharacteristic
386#390—591no—
387#390—591no—
388#389C2×D5911yescharacteristic
389#388—21no—
390#388—21no—
391#387—21no—
392#384—591no—
393#384—591no—
394C4×C4⋊C4—21no—
395C4×C4⋊C4C2×D5911yescharacteristic
396C4×C22⋊C4C2×D5911yescharacteristic
397#340—591no—
398#340—591no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340—591no—
403#336—591no—
404#336—591no—
405C59#2521711yescharacteristic, complemented, Sylow
406C22×Q8C22×D5911yescharacteristic
407C22×D4—591no—
408C22×D4—1181no—
409C23×C4—1181no—
410C23×C4C22×D5911yescharacteristic
411C2×SD16—1182no—
412C2×SD16—1182no—
413C2×SD16—2361no—
414C2×M16—1182no—
415C2×M16—1182no—
416C2×M16—2361no—
417C22×C8—591no—
418C22×C8—591no—
419C22×C8—591no—
420C22×C8—591no—
421#123—2364no—
422#123—2364no—
423C22⋊Q8—22no—
424C22⋊Q8D23614yes—
425#121—1182no—
426#121—1182no—
427C4×Q8—22no—
428C4×Q8—41no—
429#117—22no—
430#117—41no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—591no—
435C2×C4⋊C4—591no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—1182no—
438C2×C4⋊C4—1182no—
439C2×C4⋊C4—1181no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C4⋊C4C22×D5911yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C22⋊C4C22⋊D5911yescharacteristic
455C2×C22⋊C4C22⋊D5911yescharacteristic
456C2×C42—21no—
457C2×C42—21no—
458C2×C42—21no—
459C2×C42C22×D5911yescharacteristic
460C2×C42C22×D5911yescharacteristic
461#107—1182no—
462#107—1182no—
463#107—1182no—
464C4⋊C8—1182no—
465C4⋊C8—2361no—
466#103—1182no—
467#103—1182no—
468#103—1182no—
469#102—1182no—
470#102—1182no—
471#102—2361no—
472C22⋊C8—1182no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95C22⋊D5911yescharacteristic
478#95C22⋊D5911yescharacteristic
479C24—1181no—
480C24C2×C22⋊D5911yescharacteristic
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8C2×D23612yes—
487C2×D4—1181no—
488C2×D4—1181no—
489C2×D4—1181no—
490C2×D4—1181no—
491C2×D4—1181no—
492C2×D4—1181no—
493C2×D4—2362no—
494C2×D4—2362no—
495C2×D4—2362no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—2362no—
508C22×C4—2362no—
509C22×C4—2362no—
510C22×C4C2×D23612yes—
511C22×C4#1174568512yes—
512C22×C4C2×C22⋊D5911yescharacteristic
513C22×C4C2×C22⋊D5911yescharacteristic
514C22×C4C2×C22⋊D5911yescharacteristic
515C22×C4C2×C22⋊D5911yescharacteristic
516C22×C4C2×C22⋊D5911yescharacteristic
517C22×C4C23×D5911yescharacteristic
518SD16—2364no—
519M16—2364no—
520C2×C8—592no—
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—
530C2×C8—1181no—
531C2×C8—1181no—
532C4⋊C4—24no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—2362no—
546C4⋊C4—2362no—
547C4⋊C4—2362no—
548C4⋊C4—2362no—
549C4⋊C4—2362no—
550C4⋊C4C2×D23612yes—
551C4⋊C4#1174568712yes—
552C22⋊C4—24no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—42no—
556C22⋊C4—2362no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C22⋊C4—2362no—
560C22⋊C4—2362no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—42no—
566C42—42no—
567C42—42no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—2361no—
575C23—2361no—
576C23—2361no—
577C23—2361no—
578C23—2361no—
579C23—2361no—
580C23—2361no—
581C23#1427370112yes—
582C23C22×C22⋊D5911yescharacteristic
583Q8—22no—
584Q8—22no—
585Q8—41no—
586Q8—41no—
587D4—4724no—
588D4—2361no—
589D4—2361no—
590D4—2361no—
591D4—2361no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—4724no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4#1427370112yes—
631C2×C4#1427375212yes—
632C2×C4#1427375212yes—
633C2×C4C22×D23611yescharacteristic
634C2×C4#41×D5911yescharacteristic
635C2×C4C2×#1174568711yescharacteristic
636C2×C4C2×#1174568511yescharacteristic
637C2×C4#1427377211yescharacteristic
638C2×C4#1427377411yescharacteristic
639C8—1182no—
640C8—2361no—
641C8—2361no—
642C8—2361no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—4721no—
651C22—4721no—
652C22—4721no—
653C22—4721no—
654C22—4721no—
655C22—4721no—
656C22—4721no—
657C22C2×#1427370111yescharacteristic
658C22#1683804611yescharacteristic
659C22#1683805111yescharacteristic
660C22C2×#1427375211yescharacteristic
661C22C2×#1427375211yescharacteristic
662C22#1683821711yescharacteristic
663C22#1683821711yescharacteristic
664C4—22no—
665C4—22no—
666C4—22no—
667C4—41no—
668C4—42no—
669C4—42no—
670C4—41no—
671C4—42no—
672C4—81no—
673C4—4721no—
674C4—4721no—
675C4—4721no—
676C4#1683793211yescharacteristic
677C4#1683799411yescharacteristic
678C4#1683804711yescharacteristic
679C4#1683805611yescharacteristic
680C2—42no—
681C2—9441no—
682C2#2142764111yescharacteristic
683C2#2143357611yescharacteristic
684C2#2143362611yescharacteristic
685C2#2143608711yescharacteristic
686C2#2143640111yescharacteristic
687C2#2143653611yescharacteristic
688C2#2143667411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2362C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
hypercenter#2362D59
hypocenterC59#25217
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2362

Complements

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

NH ≅ G/Ntype
1. C2×#16837735C2semidirect
4. #21425567C2semidirect
5. #21425504C2semidirect
6. #21425481C2semidirect
7. #21425411C2semidirect
8. #21424854C2semidirect
9. #21424716C2semidirect
10. #21424451C2semidirect
12. #21424281C2semidirect
13. #21424101C2semidirect
14. #21423817C2semidirect
15. C59×#2362C2semidirect
339. #2362D59semidirect
405. C59#25217semidirect

Maximal subgroups

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

subgroupindex
C2×#168377352
C2×#168376502
#214285672
#214255672
#214255042
#214254812
#214254112
#214248542
#214247162
#214244512
#214244182
#214242812
#214241012
#214238172
C59×#23622
#2521759