Finite Group Databasebeta

← #28605919

Subgroups — #28605919

Order 15104.

1010 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837401C211yesmaximal, characteristic
2#21426927C211yesmaximal, characteristic
3#21424785C211yesmaximal, characteristic, complemented
4#21424771C211yesmaximal, characteristic, complemented
5#21424737C211yesmaximal, characteristic, complemented
6#21424730C211yesmaximal, characteristic, complemented
7#21424356C211yesmaximal, characteristic, complemented
8#21424342C211yesmaximal, characteristic, complemented
9#21424182C211yesmaximal, characteristic, complemented
10#21424127C211yesmaximal, characteristic, complemented
11#21424034C211yesmaximal, characteristic
12#21423924C211yesmaximal, characteristic, complemented
13C4×#14273647C211yesmaximal, characteristic, complemented
14#21423880C211yesmaximal, characteristic, complemented
15C59×#2345C211yesmaximal, characteristic, complemented
16C22×#11745685C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18C2×C4×D236C2211yescharacteristic
19C2×C4×D236C2211yescharacteristic
20C2×#14273660C2211yescharacteristic
21C2×#14273658C2211yescharacteristic
22#16837401C418yescomplemented
23C2×#14273650C2211yescharacteristic
24C2×#14273650C2211yescharacteristic
25C2×#14273650C2211yescharacteristic
26C2×#14273650C2211yescharacteristic
27C2×#14273647C2211yescharacteristic
28C2×#14273647C2211yescharacteristic
29C2×#14273647C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×#14273638C2211yescharacteristic
33C2×C4×C59⋊C8C2211yescharacteristic
34#16837308C2211yescharacteristic
35#16837308C2211yescharacteristic
36#16837278—21no—
37#16837278—21no—
38#16837264—21no—
39#16837262C2211yescharacteristic
40#95×D59—21no—
41#16837164C2211yescharacteristic
42#16837164C2211yescharacteristic
43#16837164C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49C22×C4⋊C4×C59C2211yescharacteristic
50C59×#389C2211yescharacteristic
51C59×#389C2211yescharacteristic
52C59×#387—21no—
53C59×#387—21no—
54C59×#380—21no—
55C59×#380C2211yescharacteristic
56C4×C4⋊C4×C59C2211yescharacteristic
57C4×C4⋊C4×C59C2211yescharacteristic
58C4×C22⋊C4×C59—21no—
59C4×C22⋊C4×C59C2211yescharacteristic
60C2×#11745685—22no—
61C2×#11745685—22no—
62C2×#11745685—22no—
63C2×#11745685—41no—
64C2×#11745685—41no—
65C2×#11745685C2×C414yes—
66C22×Dic118C2311yescharacteristic
67C22×D236C2311yescharacteristic
68C22×C22⋊D59—21no—
69C22×C4×D59—21no—
70C22×C4×D59—21no—
71C22×C4×D59—21no—
72C2×#11745664—41no—
73C2×#11745664—41no—
74C2×#11745664C2×C414yescomplemented
75C22×C59⋊C8C2311yescharacteristic
76C22×C59⋊C8C2311yescharacteristic
77C22×C59⋊C8C2311yescharacteristic
78C22×C59⋊C8C2311yescharacteristic
79C4×D236—22no—
80C4×D236—22no—
81C4×D236—41no—
82C4×D236—41no—
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88#14273660—41no—
89#14273658—41no—
90#14273650—41no—
91#14273650—41no—
92#14273650C2×C414yescomplemented
93#14273650C2×C414yescomplemented
94#14273647—22no—
95#14273647—22no—
96#14273647C2×C414yes—
97#14273647C2×C414yes—
98C22⋊(C59⋊C8)—22no—
99#14273638—41no—
100C4×C59⋊C8—41no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C23×C4×C59—21no—
107C23×C4×C59C2311yescharacteristic
108C2×C4⋊C4×C59—21no—
109C2×C4⋊C4×C59—22no—
110C2×C4⋊C4×C59—21no—
111C2×C4⋊C4×C59—21no—
112C2×C4⋊C4×C59C2×C414yescomplemented
113C2×C4⋊C4×C59C2311yescharacteristic
114C2×C4⋊C4×C59C2311yescharacteristic
115C2×C4⋊C4×C59C2311yescharacteristic
116C2×C4⋊C4×C59C2311yescharacteristic
117C2×C22⋊C4×C59—21no—
118C2×C22⋊C4×C59D411yescharacteristic
119C2×C22⋊C4×C59D411yescharacteristic
120C2×C42×C59—21no—
121C2×C42×C59—21no—
122C2×C42×C59C2311yescharacteristic
123C2×C42×C59C2311yescharacteristic
124#95×C59—21no—
125#95×C59—21no—
126#95×C59—21no—
127#95×C59—21no—
128#95×C59—21no—
129#95×C59D411yescharacteristic
130#95×C59D411yescharacteristic
131C24×C59C2×D411yescharacteristic
132C23×D59—21no—
133C22×C4×C59—21no—
134C22×C4×C59—21no—
135C22×C4×C59—21no—
136C22×C4×C59—21no—
137C22×C4×C59—21no—
138C22×C4×C59—21no—
139C22×C4×C59—24no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—81no—
143C22×C4×C59—81no—
144C22×C4×C59C22×C412yes—
145C22×C4×C59C2×D411yescharacteristic
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×D411yescharacteristic
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59#4112yes—
151C22×C4×C59C2411yescharacteristic
152C2×C22⋊D59—24no—
153C2×C22⋊D59—42no—
154C2×C22⋊D59—42no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158#11745685—28no—
159#11745685—44no—
160#11745685—44no—
161#11745685—44no—
162C2×D236—21no—
163C2×D236—21no—
164C2×D236—21no—
165C2×D236C22×C412yes—
166C2×D236#4112yes—
167C2×D236#4112yes—
168C2×C4×D59—24no—
169C2×C4×D59—42no—
170C2×C4×D59—42no—
171C2×C4×D59—42no—
172C2×C4×D59—42no—
173C2×C4×D59—42no—
174C2×C4×D59—42no—
175C2×C4×D59—81no—
176C2×C4×D59—81no—
177C2×Dic118—21no—
178C2×Dic118—21no—
179C2×Dic118—21no—
180C2×Dic118—21no—
181C2×Dic118—21no—
182C2×Dic118C22×C412yes—
183C4⋊C4×C59—24no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—81no—
191C4⋊C4×C59—81no—
192C4⋊C4×C59C22×C412yes—
193C4⋊C4×C59C22×C412yes—
194C22⋊C4×C59—22no—
195C22⋊C4×C59—41no—
196C22⋊C4×C59—42no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59—21no—
200C42×C59—21no—
201C42×C59—81no—
202C42×C59—81no—
203C22⋊Dic59—81no—
204(C2×D59)⋊C4—42no—
205(C2×D59)⋊C4—42no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
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⋊C8C22×C412yes—
222C2×C59⋊C8C22×C412yes—
223C23×C59—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59C4×D412yes—
230C23×C59C22×D411yescharacteristic
231C22×D59—22no—
232C22×D59—22no—
233C22×D59—22no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
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—84no—
268C2×C4×C59C4×D412yes—
269C2×C4×C59#13712yes—
270C2×C4×C59C23×C411yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×C4×C59C2×#4111yescharacteristic
274C2×C4×C59H(5,𝔽2)11yescharacteristic
275C2×C4×C59H(5,𝔽2)11yescharacteristic
276C22⋊D59—48no—
277C2×Dic59—22no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286D236—22no—
287D236—22no—
288D236—22no—
289D236#11714yes—
290C4×D59—48no—
291C4×D59—84no—
292C4×D59—84no—
293Dic118—22no—
294Dic118—22no—
295Dic118—41no—
296Dic118—41no—
297C59⋊C8—22no—
298C59⋊C8—22no—
299C59⋊C8—41no—
300C59⋊C8—41no—
301#22578—591nomaximal, Sylow
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59C2×C4×D411yescharacteristic
310C22×C59#54611yescharacteristic
311C22×C59#54611yescharacteristic
312C22×C59C2×#13711yescharacteristic
313C22×C59#57511yescharacteristic
314C22×C59#57611yescharacteristic
315C22×C59#57711yescharacteristic
316C2×D59—24no—
317C2×D59—42no—
318C2×D59—42no—
319C2×D59—42no—
320C2×D59—42no—
321C2×D59—42no—
322C2×D59—42no—
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—41no—
326C4×C59—42no—
327C4×C59—42no—
328C4×C59—41no—
329C4×C59—41no—
330C4×C59—81no—
331C4×C59—81no—
332C4×C59C2×#11711yescharacteristic
333C4×C59#51811yescharacteristic
334C4×C59#55111yescharacteristic
335C4×C59#55111yescharacteristic
336Dic59—42no—
337Dic59—81no—
338Dic59—81no—
339C2×#417—591no—
340#2345D5911yescharacteristic, complemented
341#2339—591no—
342#1935—591no—
343#1933—591no—
344#1928—591no—
345#1927—591no—
346#1864—591no—
347#1862—591no—
348#1823—591no—
349#1809—591no—
350#1788—591no—
351#1762—591no—
352C4×#102—591no—
353#1753—591no—
354C2×C59—42no—
355C2×C59#234211yescharacteristic
356C2×C59C4×#13711yescharacteristic
357C2×C59#294611yescharacteristic
358C2×C59#330711yescharacteristic
359C2×C59#331411yescharacteristic
360C2×C59#332211yescharacteristic
361C2×C59#333111yescharacteristic
362D59—44no—
363C22×#41—591no—
364C22×M16—591no—
365C2×C4×D4—591no—
366C2×C4×D4—591no—
367C22×C4⋊C4C2×D5911yescharacteristic
368C2×#107—591no—
369C2×#106—591no—
370#417—598no—
371C2×#103—591no—
372C2×#103—591no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#102—591no—
376C2×#102—591no—
377C2×#102—591no—
378C2×#102—591no—
379C2×C22⋊C8—591no—
380C2×#97—591no—
381C2×C4×C8—591no—
382#391—591no—
383#391—591no—
384#389C2×D5911yescharacteristic
385#389C2×D5911yescharacteristic
386#387—21no—
387#387—21no—
388#386—1181no—
389#386—1181no—
390#381—1181no—
391#380—21no—
392#380—591no—
393#380C2×D5911yescharacteristic
394C4×C4⋊C4C2×D5911yescharacteristic
395C4×C4⋊C4C2×D5911yescharacteristic
396C4×C22⋊C4—21no—
397C4×C22⋊C4C2×D5911yescharacteristic
398C2×#95—1181no—
399#340—591no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#336—591no—
406#336—591no—
407C59#2257811yescharacteristic, complemented, Sylow
408C2×#41—594no—
409C2×#41—1182no—
410C2×#41—1182no—
411C2×#41—1182no—
412C2×#41—2361no—
413C2×#41—2361no—
414C22×Q8—591no—
415C22×D4—591no—
416C22×D4—1181no—
417C23×C4—21no—
418C23×C4—1181no—
419C23×C4—1181no—
420C23×C4—1181no—
421C23×C4C22×D5911yescharacteristic
422C2×M16—594no—
423C2×M16—2361no—
424C2×M16—2361no—
425C22×C8—591no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429C4×D4—1182no—
430C4×D4—1182no—
431C4×D4—2361no—
432C4×D4—2361no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4C4×D5914yescomplemented
440C2×C4⋊C4C22×D5911yescharacteristic
441C2×C4⋊C4C22×D5911yescharacteristic
442C2×C4⋊C4C22×D5911yescharacteristic
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—1181no—
446C2×C22⋊C4—1181no—
447C2×C22⋊C4—1181no—
448C2×C22⋊C4C22⋊D5911yescharacteristic
449C2×C22⋊C4C22⋊D5911yescharacteristic
450C2×C42—21no—
451C2×C42—21no—
452C2×C42C22×D5911yescharacteristic
453C2×C42C22×D5911yescharacteristic
454#107—2361no—
455#106—2361no—
456#103—594no—
457#103—594no—
458#103—2361no—
459#103—2361no—
460#102—594no—
461#102—594no—
462#102—1182no—
463#102—1182no—
464C22⋊C8—1182no—
465#97—2361no—
466C4×C8—2361no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—1181no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95C22⋊D5911yescharacteristic
478#95C22⋊D5911yescharacteristic
479C24—1181no—
480C24C2×C22⋊D5911yescharacteristic
481#41—1188no—
482#41—2364no—
483#41—2364no—
484#41—2364no—
485C2×Q8—592no—
486C2×Q8—1181no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×D4—592no—
492C2×D4—592no—
493C2×D4—592no—
494C2×D4—1184no—
495C2×D4—1181no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—2362no—
499C2×D4—2362no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—1181no—
512C22×C4—1184no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—4721no—
516C22×C4—4721no—
517C22×C4—2362no—
518C22×C4—2362no—
519C22×C4—2362no—
520C22×C4—2362no—
521C22×C4—2362no—
522C22×C4—2362no—
523C22×C4C2×C4×D5912yes—
524C22×C4#1174568512yes—
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C23×D5911yescharacteristic
531M16—2364no—
532C2×C8—592no—
533C2×C8—592no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C4⋊C4—24no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—81no—
552C4⋊C4—81no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4C2×C4×D5912yes—
558C4⋊C4C2×C4×D5912yes—
559C22⋊C4—22no—
560C22⋊C4—41no—
561C22⋊C4—42no—
562C22⋊C4—4721no—
563C22⋊C4—2362no—
564C22⋊C4—2362no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—81no—
570C42—81no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—1182no—
578C23—1182no—
579C23—1182no—
580C23—2361no—
581C23—2361no—
582C23—2361no—
583C23—2361no—
584C23C4×C22⋊D5912yes—
585C23C22×C22⋊D5911yescharacteristic
586Q8—1182no—
587Q8—1182no—
588Q8—2361no—
589Q8—2361no—
590D4—594no—
591D4—1182no—
592D4—1182no—
593D4—1182no—
594D4—2368no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—84no—
625C2×C4—1182no—
626C2×C4—4724no—
627C2×C4—4724no—
628C2×C4—2368no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4C4×C22⋊D5912yes—
638C2×C4#1427375812yes—
639C2×C4C22×C4×D5911yescharacteristic
640C2×C4#41×D5911yescharacteristic
641C2×C4#41×D5911yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C2×C4#1427377311yescharacteristic
644C2×C4#1427377311yescharacteristic
645C8—1182no—
646C8—1182no—
647C8—2361no—
648C8—2361no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—1184no—
657C22—2362no—
658C22—2362no—
659C22—2362no—
660C22—2362no—
661C22—2362no—
662C22—2362no—
663C22C2×C4×C22⋊D5911yescharacteristic
664C22#1683804011yescharacteristic
665C22#1683804011yescharacteristic
666C22C2×#1427375811yescharacteristic
667C22#1683820011yescharacteristic
668C22#1683820511yescharacteristic
669C22#1683821311yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—4721no—
680C4—4721no—
681C4—2362no—
682C4#117×D5911yescharacteristic
683C4#1683787611yescharacteristic
684C4#1683807611yescharacteristic
685C4#1683807611yescharacteristic
686C2—42no—
687C2—2364no—
688C2#2142694611yescharacteristic
689C2C4×#1427375811yescharacteristic
690C2#2143292811yescharacteristic
691C2#2143606611yescharacteristic
692C2#2143617111yescharacteristic
693C2#2143629111yescharacteristic
694C2#2143640611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2345C2
socleC23×C59C22×D4
prime radicalC22×#11745685C22
cosocleC22×C4×C59C24
hypercenter#2345D59
hypocenterC59#22578
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2345

Complements

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

NH ≅ G/Ntype
3. #21424785C2semidirect
4. #21424771C2semidirect
5. #21424737C2semidirect
6. #21424730C2semidirect
7. #21424356C2semidirect
8. #21424342C2semidirect
9. #21424182C2semidirect
10. #21424127C2semidirect
12. #21423924C2semidirect
13. C4×#14273647C2semidirect
14. #21423880C2semidirect
15. C59×#2345C2semidirect
22. #16837401C4semidirect
74. C2×#11745664C2×C4semidirect
92. #14273650C2×C4semidirect
93. #14273650C2×C4semidirect
112. C2×C4⋊C4×C59C2×C4semidirect
340. #2345D59semidirect
407. C59#22578semidirect
439. C2×C4⋊C4C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168374012
#214269272
#214247852
#214247712
#214247372
#214247302
#214243562
#214243422
#214241822
#214241272
#214240342
#214239242
C4×#142736472
#214238802
C59×#23452
#2257859