Finite Group Databasebeta

← #28595351

Subgroups — #28595351

Order 15104.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837646C211yesmaximal, characteristic
2C2×C4×#11745670C211yesmaximal, characteristic, complemented
3C2×#16837358C211yesmaximal, characteristic, complemented
4#21426778C211yesmaximal, characteristic, complemented
5#21424976C211yesmaximal, characteristic, complemented
6#21424831C211yesmaximal, characteristic, complemented
7#21424782C211yesmaximal, characteristic, complemented
8#21424771C211yesmaximal, characteristic, complemented
9#21424525C211yesmaximal, characteristic
10#21424517C211yesmaximal, characteristic, complemented
11#21424127C211yesmaximal, characteristic, complemented
12C4×#14273660C211yesmaximal, characteristic, complemented
13#21423929C211yesmaximal, characteristic, complemented
14#21423921C211yesmaximal, characteristic, complemented
15C59×#2324C211yesmaximal, characteristic
16C22×#11745670C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18C23×C59⋊C8C2211yescharacteristic
19C2×#14273706C2211yescharacteristic
20C2×C4×Dic118C2211yescharacteristic
21#16837646C418yescomplemented
22C4×#11745670—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×#14273650C2211yescharacteristic
27C2×#14273650C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32#16837358—24no—
33C2×#14273638C2211yescharacteristic
34C2×#14273638C2211yescharacteristic
35C2×C4×C59⋊C8C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837300C2211yescharacteristic
39#16837297—21no—
40#16837296—21no—
41#16837290—21no—
42#16837283—21no—
43#16837262C2211yescharacteristic
44C4×C4⋊Dic59C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51C2×#121×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×#117×C59C2211yescharacteristic
54C59×#390—21no—
55C59×#390C2211yescharacteristic
56C59×#389C2211yescharacteristic
57C59×#388—21no—
58C59×#386—21no—
59C59×#385—21no—
60C59×#380C2211yescharacteristic
61C4×C4⋊C4×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C2×#11745670—22no—
64C2×#11745670—22no—
65C2×#11745670C2×C414yes—
66C2×#11745664—22no—
67C2×#11745664—22no—
68C2×#11745664C2×C414yescomplemented
69C22×C59⋊C8—22no—
70C22×C59⋊C8—22no—
71C22×C59⋊C8—22no—
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75C22×C59⋊C8C2311yescharacteristic
76#14273706—22no—
77#14273706C2×C414yescomplemented
78C4×Dic118—22no—
79C4×Dic118—22no—
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×C22⋊Dic59—21no—
87C2×C22⋊Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90#14273660—22no—
91#14273660C2×C414yescomplemented
92#14273658—22no—
93#14273650—22no—
94#14273650—22no—
95#14273650C2×C414yescomplemented
96#14273648—22no—
97#14273648—22no—
98#14273648C2×C414yes—
99#14273638—22no—
100#14273638—22no—
101C4×C59⋊C8—22no—
102C4×C59⋊C8D414yescomplemented
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×D4×C59—21no—
109C22×D4×C59C2311yescharacteristic
110C23×C4×C59—21no—
111C23×C4×C59C2311yescharacteristic
112#121×C59—22no—
113#121×C59C2×C414yes—
114C4×D4×C59—22no—
115C4×D4×C59—22no—
116#117×C59—22no—
117#117×C59—22no—
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59D411yescharacteristic
120C2×C4⋊C4×C59D411yescharacteristic
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C42×C59—21no—
132C2×C42×C59C2311yescharacteristic
133C2×C42×C59C2311yescharacteristic
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137C24×C59—21no—
138C24×C59C2×D411yescharacteristic
139C2×D4×C59—24no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59—21no—
145C2×D4×C59—81no—
146C2×D4×C59—81no—
147C2×D4×C59C22×C412yes—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—42no—
156C22×C4×C59—81no—
157C22×C4×C59—81no—
158C22×C4×C59C22×C412yes—
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59#4112yes—
165C22×C4×C59C2411yescharacteristic
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118C22×C412yes—
176C4⋊C4×C59—22no—
177C4⋊C4×C59—22no—
178C4⋊C4×C59—21no—
179C4⋊C4×C59—21no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—81no—
184C4⋊C4×C59C22×C412yes—
185C22⋊C4×C59—24no—
186C22⋊C4×C59—22no—
187C22⋊C4×C59—22no—
188C22⋊C4×C59—42no—
189C22⋊C4×C59—81no—
190C22⋊C4×C59—81no—
191C22⋊C4×C59—81no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—81no—
195C42×C59C2×D412yes—
196C42×C59#4112yes—
197C22⋊Dic59—24no—
198C22⋊Dic59—81no—
199#11745670—28no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59C22×C412yes—
206Dic59⋊C4—24no—
207Dic59⋊C4—42no—
208Dic59⋊C4—81no—
209C4×Dic59—42no—
210C4×Dic59—81no—
211#11745664—28no—
212C2×C59⋊C8—28no—
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⋊C8C22×C412yes—
220C2×C59⋊C8C22×C412yes—
221C2×C59⋊C8C2×D412yes—
222C2×C59⋊C8C2×D412yes—
223C2×C59⋊C8#4112yes—
224C2×C59⋊C8#4112yes—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—22no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59C4×D412yes—
239C23×C59C22×D411yescharacteristic
240D4×C59—22no—
241D4×C59—22no—
242D4×C59—41no—
243D4×C59—41no—
244D4×C59—84no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
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—21no—
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—84no—
271C2×C4×C59C4×D412yes—
272C2×C4×C59#12112yes—
273C2×C4×C59#12112yes—
274C2×C4×C59C23×C411yescharacteristic
275C2×C4×C59C22×D411yescharacteristic
276C2×C4×C59C2×#4111yescharacteristic
277C2×C4×C59C2×#4111yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×Dic59—22no—
281C2×Dic59—22no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292Dic118—22no—
293Dic118—22no—
294Dic118—41no—
295Dic118—41no—
296C59⋊C8—22no—
297C59⋊C8—22no—
298C59⋊C8—22no—
299C59⋊C8C4×D414yes—
300#21535—591nomaximal, Sylow
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—81no—
312C22×C59—81no—
313C22×C59—81no—
314C22×C59—81no—
315C22×C59C2×C4×D411yescharacteristic
316C22×C59C2×#12111yescharacteristic
317C22×C59#53211yescharacteristic
318C22×C59#57611yescharacteristic
319C22×C59#57711yescharacteristic
320C22×C59#57711yescharacteristic
321C22×C59#57811yescharacteristic
322C4×C59—22no—
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—42no—
326C4×C59—41no—
327C4×C59—41no—
328C4×C59—81no—
329C4×C59—81no—
330C4×C59C2×C4×D411yescharacteristic
331C4×C59C4×#4111yescharacteristic
332C4×C59#52511yescharacteristic
333C4×C59#52911yescharacteristic
334Dic59—42no—
335Dic59—42no—
336Dic59—81no—
337Dic59—81no—
338C2×#468—591no—
339C2×C4×SD16—591no—
340C2×#405—591no—
341#2324D5911yescharacteristic
342#2323—591no—
343#1973—591no—
344#1943—591no—
345#1934—591no—
346#1933—591no—
347#1893—591no—
348#1892—591no—
349#1809—591no—
350C4×#107—591no—
351#1763—591no—
352#1762—591no—
353C2×C59—42no—
354C2×C59—82no—
355C2×C59C4×#12111yescharacteristic
356C2×C59#294611yescharacteristic
357C2×C59#294711yescharacteristic
358C2×C59#305711yescharacteristic
359C2×C59#306111yescharacteristic
360C2×C59#317811yescharacteristic
361C2×C59#317911yescharacteristic
362C22×SD16—591no—
363C22×M16—591no—
364C23×C8—591no—
365C2×C22⋊Q8—591no—
366C2×#121C2×D5911yescharacteristic
367C2×C4×Q8—591no—
368C2×C4×D4C2×D5911yescharacteristic
369C2×#117C2×D5911yescharacteristic
370#468—598no—
371C4×SD16—1184no—
372C2×#107—591no—
373C2×#107—591no—
374C2×#106—591no—
375C2×#103—591no—
376C2×#103—591no—
377C2×#103—591no—
378C2×#102—591no—
379C2×#102—591no—
380C2×#102—591no—
381#405—1184no—
382C2×#97—591no—
383C2×#97—591no—
384C2×C4×C8—591no—
385C2×C4×C8—591no—
386#391—591no—
387#390—21no—
388#390C2×D5911yescharacteristic
389#389—591no—
390#389—1181no—
391#389C2×D5911yescharacteristic
392#388—21no—
393#388—1181no—
394#388—1181no—
395#387—1181no—
396#386—21no—
397#385—21no—
398#380—591no—
399#380C2×D5911yescharacteristic
400C4×C4⋊C4—591no—
401C4×C4⋊C4C2×D5911yescharacteristic
402#340—591no—
403#340—591no—
404#340—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408C59#2153511yescharacteristic, complemented, Sylow
409C22×Q8—591no—
410C22×D4—21no—
411C22×D4C22×D5911yescharacteristic
412C23×C4—21no—
413C23×C4C22×D5911yescharacteristic
414C2×SD16—594no—
415C2×SD16—1182no—
416C2×SD16—1182no—
417C2×M16—594no—
418C2×M16—1182no—
419C2×M16—1182no—
420C22×C8—591no—
421C22×C8—591no—
422C22×C8—591no—
423C22×C8—591no—
424C22×C8—1182no—
425C22×C8—1182no—
426C22×C8—1182no—
427C22⋊Q8—594no—
428C22⋊Q8—1182no—
429#121—22no—
430#121C4×D5914yes—
431C4×Q8—1182no—
432C4×Q8—1182no—
433C4×D4—22no—
434C4×D4—22no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—591no—
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×C4⋊C4C22×D5911yescharacteristic
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4C22⋊D5911yescharacteristic
457C2×C22⋊C4C22⋊D5911yescharacteristic
458C2×C42—21no—
459C2×C42—1181no—
460C2×C42—1181no—
461C2×C42C22×D5911yescharacteristic
462C2×C42C22×D5911yescharacteristic
463#107—594no—
464#107—1182no—
465#106—1182no—
466#103—594no—
467#103—1182no—
468#103—1182no—
469#102—594no—
470#102—1182no—
471#102—1182no—
472#97—1182no—
473#97—1182no—
474C4×C8—594no—
475C4×C8—1182no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—1181no—
480#95—1181no—
481#95—1181no—
482#95—1181no—
483#95—1181no—
484C24—21no—
485C24C2×C22⋊D5911yescharacteristic
486C2×Q8—592no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×Q8—1181no—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×C4×D5912yes—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4C2×C4×D5912yes—
516C22×C4#1174568512yes—
517C22×C4C2×C22⋊D5911yescharacteristic
518C22×C4C2×C22⋊D5911yescharacteristic
519C22×C4C2×C22⋊D5911yescharacteristic
520C22×C4C2×C22⋊D5911yescharacteristic
521C22×C4C2×C22⋊D5911yescharacteristic
522C22×C4C23×D5911yescharacteristic
523SD16—1188no—
524M16—1188no—
525C2×C8—592no—
526C2×C8—592no—
527C2×C8—592no—
528C2×C8—592no—
529C2×C8—592no—
530C2×C8—592no—
531C2×C8—1188no—
532C2×C8—1181no—
533C2×C8—1181no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—81no—
546C4⋊C4—592no—
547C4⋊C4—1184no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—1181no—
553C4⋊C4—4721no—
554C4⋊C4—2362no—
555C4⋊C4C2×C4×D5912yes—
556C22⋊C4—24no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—42no—
560C22⋊C4—81no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C22⋊C4—1184no—
564C22⋊C4—4721no—
565C42—21no—
566C42—21no—
567C42—81no—
568C42—4721no—
569C42—2362no—
570C42D4×D5912yes—
571C42#1174568712yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23C4×C22⋊D5912yes—
586C23C22×C22⋊D5911yescharacteristic
587Q8—1182no—
588Q8—1182no—
589Q8—2361no—
590Q8—2361no—
591D4—22no—
592D4—22no—
593D4—41no—
594D4—41no—
595D4—84no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4C4×C22⋊D5912yes—
635C2×C4#1427369912yes—
636C2×C4#1427369912yes—
637C2×C4C22×C4×D5911yescharacteristic
638C2×C4C2×D4×D5911yescharacteristic
639C2×C4#41×D5911yescharacteristic
640C2×C4#41×D5911yescharacteristic
641C2×C4C2×#1174568711yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C8—594no—
644C8—1182no—
645C8—1182no—
646C8—1182no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×C4×C22⋊D5911yescharacteristic
662C22C2×#1427369911yescharacteristic
663C22#1683794811yescharacteristic
664C22#1683820511yescharacteristic
665C22#1683821311yescharacteristic
666C22#1683821311yescharacteristic
667C22#1683821711yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4—81no—
675C4—81no—
676C4—4721no—
677C4—4721no—
678C4—2362no—
679C4—2362no—
680C4C4×D4×D5911yescharacteristic
681C4C4×#1174568711yescharacteristic
682C4#1683791111yescharacteristic
683C4#1683793211yescharacteristic
684C2—42no—
685C2—82no—
686C2C4×#1427369911yescharacteristic
687C2#2143292811yescharacteristic
688C2#2143293511yescharacteristic
689C2#2143373211yescharacteristic
690C2#2143376311yescharacteristic
691C2#2143475811yescharacteristic
692C2#2143478111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2324C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
cosocleC22×C4×C59C24
hypercenter#2324D59
hypocenterC59#21535
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745670C2semidirect
3. C2×#16837358C2semidirect
4. #21426778C2semidirect
5. #21424976C2semidirect
6. #21424831C2semidirect
7. #21424782C2semidirect
8. #21424771C2semidirect
10. #21424517C2semidirect
11. #21424127C2semidirect
12. C4×#14273660C2semidirect
13. #21423929C2semidirect
14. #21423921C2semidirect
21. #16837646C4semidirect
68. C2×#11745664C2×C4semidirect
77. #14273706C2×C4semidirect
91. #14273660C2×C4semidirect
95. #14273650C2×C4semidirect
102. C4×C59⋊C8D4semidirect
408. C59#21535semidirect

Maximal subgroups

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

subgroupindex
C2×#168376462
C2×C4×#117456702
C2×#168373582
#214267782
#214249762
#214248312
#214247822
#214247712
#214245252
#214245172
#214241272
C4×#142736602
#214239292
#214239212
C59×#23242
#2153559