Finite Group Databasebeta

← #28611527

Subgroups — #28611527

Order 15104.

998 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837648C211yesmaximal, characteristic
2C2×#16837504C211yesmaximal, characteristic, complemented
3C2×#16837444C211yesmaximal, characteristic, complemented
4#21427132C211yesmaximal, characteristic
5#21427099C211yesmaximal, characteristic, complemented
6#21424950C211yesmaximal, characteristic, complemented
7#21424834C211yesmaximal, characteristic, complemented
8#21424738C211yesmaximal, characteristic, complemented
9#21424724C211yesmaximal, characteristic, complemented
10#21424411C211yesmaximal, characteristic
11#21424406C211yesmaximal, characteristic, complemented
12#21424367C211yesmaximal, characteristic, complemented
13#21424346C211yesmaximal, characteristic, complemented
14C4×#14273661C211yesmaximal, characteristic, complemented
15C59×#1753C211yesmaximal, characteristic, complemented
16C22×#11745660C2211yescharacteristic
17C2×#14273706C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21C2×#14273686C2211yescharacteristic
22C22×C4⋊Dic59C2211yescharacteristic
23#16837648C418yescomplemented
24#16837504—24no—
25#16837444—24no—
26C2×#14273661C2211yescharacteristic
27C2×#14273661C2211yescharacteristic
28C2×#14273661C2211yescharacteristic
29C2×#14273659C2211yescharacteristic
30C2×#14273659C2211yescharacteristic
31C2×#14273652C2211yescharacteristic
32C2×#14273652C2211yescharacteristic
33C2×#14273652C2211yescharacteristic
34C2×#14273649C2211yescharacteristic
35C2×#14273649C2211yescharacteristic
36C2×#14273649C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837304C2211yescharacteristic
39#16837302—21no—
40#16837300C2211yescharacteristic
41#16837300C2211yescharacteristic
42#16837299—21no—
43#16837291—21no—
44#16837289—21no—
45#16837278—21no—
46#16837274—21no—
47C4×C4⋊Dic59C2211yescharacteristic
48C4×C4⋊Dic59C2211yescharacteristic
49C22⋊C4×Dic59—21no—
50#16837249—21no—
51#16837165C2211yescharacteristic
52#16837165C2211yescharacteristic
53#16837165C2211yescharacteristic
54#16837165C2211yescharacteristic
55C22×M16×C59C2211yescharacteristic
56C2×C22⋊C8×C59C2211yescharacteristic
57C2×#97×C59C2211yescharacteristic
58C2×C4×C8×C59C2211yescharacteristic
59C4×C22⋊C4×C59C2211yescharacteristic
60C59×#336C2211yescharacteristic
61C59×#336C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C22⋊D59—21no—
65C23×Dic59—21no—
66C22×C4×D59—21no—
67C2×#11745660—22no—
68C2×#11745660—22no—
69C2×#11745660C2×C414yescomplemented
70#14273706—22no—
71#14273706C2×C414yescomplemented
72#14273701—22no—
73#14273701C2×C414yes—
74C4×Dic118—22no—
75C4×Dic118—41no—
76C4×D236—22no—
77C4×D236—41no—
78#14273686—22no—
79#14273686—41no—
80C2×C4⋊Dic59—22no—
81C2×C4⋊Dic59—21no—
82C2×C4⋊Dic59—41no—
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C4⋊Dic59C2311yescharacteristic
86C2×C4⋊Dic59C2311yescharacteristic
87C2×C4⋊Dic59C2311yescharacteristic
88C2×C4⋊Dic59C2311yescharacteristic
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4—21no—
91C2×Dic59⋊C4—21no—
92C2×Dic59⋊C4—21no—
93C2×C22⋊Dic59—21no—
94C2×C22⋊Dic59—21no—
95C2×(C2×D59)⋊C4—21no—
96C2×(C2×D59)⋊C4—21no—
97C2×(C2×D59)⋊C4—21no—
98C2×(C2×D59)⋊C4—21no—
99C2×C4×Dic59—21no—
100C2×C4×Dic59—21no—
101C2×C4×Dic59—21no—
102C2×C4×Dic59—21no—
103#14273661—22no—
104#14273661C2×C414yescomplemented
105#14273661D414yescomplemented
106#14273659—22no—
107#14273659—22no—
108#14273652—22no—
109#14273652—41no—
110#14273652C2×C414yescomplemented
111#14273649—22no—
112#14273649—41no—
113#14273649C2×C414yescomplemented
114C59⋊#95—21no—
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C23×C4×C59C2311yescharacteristic
121C2×M16×C59—22no—
122C2×M16×C59—22no—
123C2×M16×C59C2×C414yescomplemented
124C22×C8×C59C2311yescharacteristic
125C22×C8×C59C2311yescharacteristic
126C22×C8×C59C2311yescharacteristic
127C22×C8×C59C2311yescharacteristic
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C42×C59C2311yescharacteristic
131C2×C42×C59C2311yescharacteristic
132C22⋊C8×C59—22no—
133#97×C59—22no—
134C4×C8×C59—22no—
135#95×C59D411yescharacteristic
136#95×C59D411yescharacteristic
137C24×C59C2×D411yescharacteristic
138C23×D59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59C22×C412yes—
144C22×C4×C59C2×D411yescharacteristic
145C22×C4×C59C2×D411yescharacteristic
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×D411yescharacteristic
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59#4112yes—
150C22×C4×C59C2411yescharacteristic
151C2×C22⋊D59—24no—
152C2×C22⋊D59—81no—
153C2×C22⋊D59—81no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—21no—
161C22×Dic59—42no—
162C22×Dic59—42no—
163C22×Dic59—81no—
164C2×D236—21no—
165C2×D236—21no—
166C2×D236—21no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236C22×C412yes—
170C2×C4×D59—42no—
171C2×C4×D59—42no—
172C2×C4×D59—81no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118C22×C412yes—
179M16×C59—28no—
180C2×C8×C59—21no—
181C2×C8×C59—21no—
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59—21no—
185C2×C8×C59—21no—
186C2×C8×C59—21no—
187C2×C8×C59—21no—
188C2×C8×C59C22×C412yes—
189C2×C8×C59C22×C412yes—
190C2×C8×C59C2×D412yes—
191C2×C8×C59#4112yes—
192C22⋊C4×C59—22no—
193C22⋊C4×C59—41no—
194C42×C59—21no—
195C42×C59—21no—
196C42×C59—21no—
197C42×C59—21no—
198C22⋊Dic59—24no—
199C22⋊Dic59—42no—
200(C2×D59)⋊C4—24no—
201(C2×D59)⋊C4—42no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—81no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—42no—
213C4⋊Dic59C22×C412yes—
214C4⋊Dic59C22×C412yes—
215C4⋊Dic59C2×D412yes—
216C4⋊Dic59C2×D412yes—
217Dic59⋊C4—24no—
218Dic59⋊C4—42no—
219Dic59⋊C4—81no—
220Dic59⋊C4—81no—
221C4×Dic59—42no—
222C4×Dic59—42no—
223C4×Dic59—81no—
224C4×Dic59—81no—
225#11745660—28no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59C4×D412yes—
233C23×C59C22×D411yescharacteristic
234C22×D59—22no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
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—21no—
258C2×C4×C59C4×D412yes—
259C2×C4×C59#13712yes—
260C2×C4×C59C23×C411yescharacteristic
261C2×C4×C59C22×D411yescharacteristic
262C2×C4×C59C2×#4111yescharacteristic
263C2×C4×C59C2×#4111yescharacteristic
264C2×C4×C59H(5,𝔽2)11yescharacteristic
265C2×C4×C592−1+411yescharacteristic
266C22⋊D59—84no—
267C2×Dic59—22no—
268C2×Dic59—22no—
269C2×Dic59—22no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
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—84no—
289D236—22no—
290D236—22no—
291D236—41no—
292D236—41no—
293C4×D59—84no—
294Dic118—22no—
295Dic118—22no—
296Dic118—41no—
297Dic118—41no—
298C8×C59—22no—
299C8×C59—41no—
300C8×C59—41no—
301C8×C59C4×D414yes—
302#23041—591nomaximal, Sylow
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59C2×C4×D411yescharacteristic
311C22×C59D4211yescharacteristic
312C22×C59#54711yescharacteristic
313C22×C59C2×#13711yescharacteristic
314C22×C59#57511yescharacteristic
315C22×C59#57611yescharacteristic
316C22×C59#57711yescharacteristic
317C2×D59—42no—
318C2×D59—42no—
319C2×D59—42no—
320C2×D59—81no—
321C2×D59—81no—
322C2×D59—81no—
323C2×D59—81no—
324C4×C59—22no—
325C4×C59—22no—
326C4×C59—41no—
327C4×C59—41no—
328C4×C59—41no—
329C4×C59C2×C4×D411yescharacteristic
330C4×C59#52011yescharacteristic
331C4×C59#54811yescharacteristic
332C4×C59#55311yescharacteristic
333Dic59—42no—
334Dic59—42no—
335Dic59—42no—
336Dic59—42no—
337Dic59—42no—
338Dic59—81no—
339Dic59—81no—
340C2×#468—591no—
341C2×#440—591no—
342C2×#428—591no—
343#2363—591no—
344#2360—591no—
345#1968—591no—
346#1943—591no—
347#1928—591no—
348#1926—591no—
349#1874—591no—
350#1873—591no—
351#1865—591no—
352#1862—591no—
353C4×#107—591no—
354#1753D5911yescharacteristic, complemented
355C2×C59—42no—
356C2×C59#236111yescharacteristic
357C2×C59C4×#13711yescharacteristic
358C2×C59#294611yescharacteristic
359C2×C59#327311yescharacteristic
360C2×C59#327811yescharacteristic
361C2×C59#334611yescharacteristic
362C2×C59#334811yescharacteristic
363D59—82no—
364C22×SD16—591no—
365C22×M16C2×D5911yescharacteristic
366C2×C22⋊Q8—591no—
367C2×#121—591no—
368C2×C4×Q8—591no—
369C2×C4×D4—591no—
370C2×#117—591no—
371C22×C4⋊C4—591no—
372#468—598no—
373#440—1184no—
374#428—1184no—
375C2×#107—591no—
376C2×#107—591no—
377C2×#107—591no—
378C2×#106—591no—
379C2×#106—591no—
380C2×#103—591no—
381C2×#103—591no—
382C2×#103—591no—
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×C22⋊C8C2×D5911yescharacteristic
387C2×#97C2×D5911yescharacteristic
388C2×C4×C8C2×D5911yescharacteristic
389#391—591no—
390#390—591no—
391#390—1181no—
392#389—591no—
393#389—591no—
394#389—1181no—
395#388—1181no—
396#387—1181no—
397#386—1181no—
398#385—1181no—
399C4×C4⋊C4—591no—
400C4×C4⋊C4—591no—
401C4×C22⋊C4—1181no—
402C4×C22⋊C4—1181no—
403C4×C22⋊C4C2×D5911yescharacteristic
404#340—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408#336C2×D5911yescharacteristic
409#336C2×D5911yescharacteristic
410C59#2304111yescharacteristic, complemented, Sylow
411C22×Q8—591no—
412C22×D4—591no—
413C22×D4—1181no—
414C23×C4—1181no—
415C23×C4—1181no—
416C23×C4C22×D5911yescharacteristic
417C2×SD16—594no—
418C2×SD16—1182no—
419C2×SD16—1182no—
420C2×M16—22no—
421C2×M16—22no—
422C2×M16C4×D5914yescomplemented
423C22×C8C22×D5911yescharacteristic
424C22×C8C22×D5911yescharacteristic
425C22×C8C22×D5911yescharacteristic
426C22×C8C22×D5911yescharacteristic
427C22⋊Q8—594no—
428C22⋊Q8—1182no—
429#121—594no—
430#121—1182no—
431C4×Q8—1182no—
432C4×Q8—2361no—
433C4×D4—1182no—
434C4×D4—2361no—
435#117—1182no—
436#117—2361no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—591no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—1182no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—2361no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4D23611yescharacteristic
457C2×C22⋊C4D23611yescharacteristic
458C2×C42—1181no—
459C2×C42—1181no—
460C2×C42—1181no—
461C2×C42—1181no—
462C2×C42C22×D5911yescharacteristic
463C2×C42C22×D5911yescharacteristic
464#107—594no—
465#107—594no—
466#107—1182no—
467#106—1182no—
468#106—1182no—
469#103—594no—
470#103—1182no—
471#103—2361no—
472#102—594no—
473#102—1182no—
474#102—2361no—
475C22⋊C8—22no—
476#97—22no—
477C4×C8—22no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481#95—1181no—
482#95—1181no—
483#95—1181no—
484#95D23611yescharacteristic
485#95D23611yescharacteristic
486C24—1181no—
487C24C2×D23611yescharacteristic
488C2×Q8—592no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×Q8—1181no—
492C2×Q8—1181no—
493C2×Q8—1181no—
494C2×D4—592no—
495C2×D4—1184no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—1181no—
501C2×D4—4721no—
502C2×D4—4721no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—1181no—
508C22×C4—1181no—
509C22×C4—1181no—
510C22×C4—1181no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—4721no—
515C22×C4—4721no—
516C22×C4—2362no—
517C22×C4—2362no—
518C22×C4—2362no—
519C22×C4—2362no—
520C22×C4C2×C4×D5912yes—
521C22×C4C2×D23611yescharacteristic
522C22×C4C2×D23611yescharacteristic
523C22×C4C2×D23611yescharacteristic
524C22×C4C2×D23611yescharacteristic
525C22×C4C2×D23611yescharacteristic
526C22×C4#1174568512yes—
527C22×C4C23×D5911yescharacteristic
528SD16—1188no—
529M16—28no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8C2×C4×D5912yes—
539C2×C8C2×C4×D5912yes—
540C2×C8D4×D5912yes—
541C2×C8#1174568712yes—
542C4⋊C4—592no—
543C4⋊C4—592no—
544C4⋊C4—592no—
545C4⋊C4—592no—
546C4⋊C4—1184no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—1181no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—4721no—
556C4⋊C4—4721no—
557C4⋊C4—2362no—
558C4⋊C4—2362no—
559C22⋊C4—22no—
560C22⋊C4—41no—
561C22⋊C4—1184no—
562C22⋊C4—1184no—
563C22⋊C4—4721no—
564C22⋊C4—2362no—
565C22⋊C4—2362no—
566C22⋊C4—2362no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—4721no—
572C42—4721no—
573C42—2362no—
574C42—2362no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—1182no—
582C23—2361no—
583C23—2361no—
584C23—2361no—
585C23—2361no—
586C23—2361no—
587C23—2361no—
588C23C4×D23612yes—
589C23C22×D23611yescharacteristic
590Q8—1182no—
591Q8—1182no—
592Q8—2361no—
593Q8—2361no—
594D4—1182no—
595D4—1182no—
596D4—4724no—
597D4—2361no—
598D4—2361no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—1182no—
617C2×C4—1182no—
618C2×C4—1182no—
619C2×C4—1182no—
620C2×C4—1182no—
621C2×C4—4724no—
622C2×C4—4724no—
623C2×C4—2361no—
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×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4C4×D23612yes—
640C2×C4#1427376012yes—
641C2×C4C22×C4×D5911yescharacteristic
642C2×C4C2×D4×D5911yescharacteristic
643C2×C4C2×#1174568711yescharacteristic
644C2×C4C2×#1174568511yescharacteristic
645C2×C4#1427377311yescharacteristic
646C2×C4#1427377411yescharacteristic
647C8—22no—
648C8—41no—
649C8—41no—
650C8(C22⋊D59)⋊C414yes—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—4721no—
659C22—4721no—
660C22—4721no—
661C22—4721no—
662C22—2362no—
663C22—2362no—
664C22—2362no—
665C22C2×C4×D23611yescharacteristic
666C22D4×D23611yescharacteristic
667C22#1683805611yescharacteristic
668C22C2×#1427376011yescharacteristic
669C22#1683820211yescharacteristic
670C22#1683820711yescharacteristic
671C22#1683821411yescharacteristic
672C4—22no—
673C4—22no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—4721no—
678C4—4721no—
679C4—2362no—
680C4—2362no—
681C4—2362no—
682C4—2362no—
683C4—2362no—
684C4C2×(C22⋊D59)⋊C411yescharacteristic
685C4#1683788211yescharacteristic
686C4#1683806111yescharacteristic
687C4#1683809811yescharacteristic
688C2—42no—
689C2—4722no—
690C2#2142711011yescharacteristic
691C2C4×#1427376011yescharacteristic
692C2#2143293011yescharacteristic
693C2#2143570811yescharacteristic
694C2#2143576411yescharacteristic
695C2#2143658311yescharacteristic
696C2#2143661311yescharacteristic
subgroupG/H
centerC23C22×D236
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1753C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenter#1753D59
hypocenterC59#23041
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #1753

Complements

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

NH ≅ G/Ntype
2. C2×#16837504C2semidirect
3. C2×#16837444C2semidirect
5. #21427099C2semidirect
6. #21424950C2semidirect
7. #21424834C2semidirect
8. #21424738C2semidirect
9. #21424724C2semidirect
11. #21424406C2semidirect
12. #21424367C2semidirect
13. #21424346C2semidirect
14. C4×#14273661C2semidirect
15. C59×#1753C2semidirect
23. #16837648C4semidirect
69. C2×#11745660C2×C4semidirect
71. #14273706C2×C4semidirect
104. #14273661C2×C4semidirect
105. #14273661D4semidirect
110. #14273652C2×C4semidirect
113. #14273649C2×C4semidirect
123. C2×M16×C59C2×C4semidirect
354. #1753D59semidirect
410. C59#23041semidirect
422. C2×M16C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376482
C2×#168375042
C2×#168374442
#214271322
#214270992
#214249502
#214248342
#214247382
#214247242
#214244112
#214244062
#214243672
#214243462
C4×#142736612
C59×#17532
#2304159