Finite Group Databasebeta

← #28611532

Subgroups — #28611532

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×#16837650C211yesmaximal, characteristic
2C2×#16837500C211yesmaximal, characteristic, complemented
3C2×#16837442C211yesmaximal, characteristic, complemented
4#21427132C211yesmaximal, characteristic
5#21424953C211yesmaximal, characteristic, complemented
6#21424831C211yesmaximal, characteristic, complemented
7#21424734C211yesmaximal, characteristic, complemented
8#21424723C211yesmaximal, characteristic, complemented
9#21424413C211yesmaximal, characteristic
10#21424409C211yesmaximal, characteristic, complemented
11#21424364C211yesmaximal, characteristic, complemented
12#21424342C211yesmaximal, characteristic, complemented
13C4×#14273660C211yesmaximal, characteristic, complemented
14#21423880C211yesmaximal, characteristic, complemented
15C59×#2360C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C22×#11745664C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×C4×D236C2211yescharacteristic
20C2×#14273686C2211yescharacteristic
21#16837650C418yescomplemented
22#16837500—24no—
23#16837442—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273660C2211yescharacteristic
27C2×#14273658C2211yescharacteristic
28C2×#14273658C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×#14273647C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837304C2211yescharacteristic
39#16837302—21no—
40#16837300C2211yescharacteristic
41#16837291—21no—
42#16837278—21no—
43C4×C4⋊Dic59C2211yescharacteristic
44#16837249—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×C22⋊Q8×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C22×C4⋊C4×C59C2211yescharacteristic
54C59×#391C2211yescharacteristic
55C59×#389—21no—
56C59×#389C2211yescharacteristic
57C59×#387—21no—
58C59×#385—21no—
59C4×C4⋊C4×C59C2211yescharacteristic
60C4×C22⋊C4×C59—21no—
61C4×C22⋊C4×C59C2211yescharacteristic
62C22×D236C2311yescharacteristic
63C22×C22⋊D59—21no—
64C22×C4×D59—21no—
65C2×#11745671—22no—
66C2×#11745671—22no—
67C2×#11745671C2×C414yescomplemented
68C2×#11745664—22no—
69C2×#11745664—22no—
70C2×#11745664C2×C414yescomplemented
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75#14273701—22no—
76#14273701C2×C414yes—
77C4×D236—22no—
78C4×D236—41no—
79#14273686—22no—
80#14273686—41no—
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×Dic59⋊C4—21no—
85C2×C22⋊Dic59—21no—
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×(C2×D59)⋊C4—21no—
90C2×C4×Dic59—21no—
91C2×C4×Dic59—21no—
92#14273660—22no—
93#14273660C2×C414yescomplemented
94#14273660D414yescomplemented
95#14273658—22no—
96#14273658—22no—
97#14273651—22no—
98#14273651—41no—
99#14273651C2×C414yescomplemented
100#14273647—22no—
101#14273647—41no—
102#14273647C2×C414yescomplemented
103C22⋊(C59⋊C8)—22no—
104#14273638—22no—
105C4×C59⋊C8—22no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×Q8×C59C2311yescharacteristic
109C23×C4×C59—21no—
110C23×C4×C59C2311yescharacteristic
111C22⋊Q8×C59—22no—
112C22⋊Q8×C59C2×C414yescomplemented
113C4×Q8×C59—22no—
114C4×Q8×C59—41no—
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—22no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—41no—
121C2×C4⋊C4×C59C2311yescharacteristic
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59D411yescharacteristic
126C2×C22⋊C4×C59D411yescharacteristic
127C2×C42×C59—21no—
128C2×C42×C59—21no—
129C2×C42×C59C2311yescharacteristic
130C2×C42×C59C2311yescharacteristic
131#95×C59—21no—
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135#95×C59D411yescharacteristic
136#95×C59D411yescharacteristic
137C24×C59C2×D411yescharacteristic
138C23×D59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59C22×C412yes—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—42no—
154C22×C4×C59—42no—
155C22×C4×C59—81no—
156C22×C4×C59C22×C412yes—
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59#4112yes—
163C22×C4×C59C2411yescharacteristic
164C2×C22⋊D59—24no—
165C2×C22⋊D59—81no—
166C2×C22⋊D59—81no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C2×D236—21no—
171C2×D236—21no—
172C2×D236—21no—
173C2×D236—21no—
174C2×D236—21no—
175C2×D236C22×C412yes—
176C2×C4×D59—42no—
177C2×C4×D59—42no—
178C2×C4×D59—81no—
179C4⋊C4×C59—24no—
180C4⋊C4×C59—21no—
181C4⋊C4×C59—21no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—42no—
185C4⋊C4×C59—42no—
186C4⋊C4×C59—81no—
187C4⋊C4×C59C22×C412yes—
188C4⋊C4×C59C2×D412yes—
189C22⋊C4×C59—24no—
190C22⋊C4×C59—22no—
191C22⋊C4×C59—41no—
192C42×C59—21no—
193C42×C59—21no—
194C42×C59—21no—
195C42×C59—21no—
196C42×C59—42no—
197C42×C59—81no—
198C22⋊Dic59—42no—
199#11745671—28no—
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⋊Dic59C22×C412yes—
209C4⋊Dic59C2×D412yes—
210Dic59⋊C4—81no—
211C4×Dic59—42no—
212C4×Dic59—81no—
213#11745664—28no—
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⋊C8C22×C412yes—
223C2×C59⋊C8C22×C412yes—
224C2×C59⋊C8C2×D412yes—
225C2×C59⋊C8#4112yes—
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—
241Q8×C59—22no—
242Q8×C59—22no—
243Q8×C59—41no—
244Q8×C59—41no—
245C2×C4×C59—21no—
246C2×C4×C59—21no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—22no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—41no—
266C2×C4×C59—41no—
267C2×C4×C59—41no—
268C2×C4×C59—41no—
269C2×C4×C59—41no—
270C2×C4×C59—41no—
271C2×C4×C59—41no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—84no—
275C2×C4×C59C4×D412yes—
276C2×C4×C59#13712yes—
277C2×C4×C59C23×C411yescharacteristic
278C2×C4×C59C22×D411yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59H(5,𝔽2)11yescharacteristic
282C2×C4×C592−1+411yescharacteristic
283C22⋊D59—84no—
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293D236—22no—
294D236—22no—
295D236—41no—
296D236—41no—
297C4×D59—84no—
298C59⋊C8—22no—
299C59⋊C8—41no—
300C59⋊C8—41no—
301C59⋊C8C4×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—42no—
328C4×C59—42no—
329C4×C59—41no—
330C4×C59—42no—
331C4×C59—41no—
332C4×C59—81no—
333C4×C59C2×C4×D411yescharacteristic
334C4×C59#52011yescharacteristic
335C4×C59#54811yescharacteristic
336C4×C59#55311yescharacteristic
337Dic59—42no—
338Dic59—42no—
339Dic59—81no—
340C2×#468—591no—
341C2×#440—591no—
342C2×#428—591no—
343#2363—591no—
344#2360D5911yescharacteristic, complemented
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#1753—591no—
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×M16—591no—
366C2×C22⋊Q8C2×D5911yescharacteristic
367C2×#121—591no—
368C2×C4×Q8C2×D5911yescharacteristic
369C2×C4×D4—591no—
370C2×#117—591no—
371C22×C4⋊C4C2×D5911yescharacteristic
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⋊C8—591no—
387C2×#97—591no—
388C2×C4×C8—591no—
389#391C2×D5911yescharacteristic
390#390—591no—
391#390—1181no—
392#389—21no—
393#389—591no—
394#389C2×D5911yescharacteristic
395#388—1181no—
396#387—21no—
397#386—1181no—
398#385—21no—
399C4×C4⋊C4—591no—
400C4×C4⋊C4C2×D5911yescharacteristic
401C4×C22⋊C4—21no—
402C4×C22⋊C4—1181no—
403C4×C22⋊C4C2×D5911yescharacteristic
404#340—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408#336—591no—
409#336—591no—
410C59#2304111yescharacteristic, complemented, Sylow
411C22×Q8C22×D5911yescharacteristic
412C22×D4—591no—
413C22×D4—1181no—
414C23×C4—21no—
415C23×C4—1181no—
416C23×C4C22×D5911yescharacteristic
417C2×SD16—594no—
418C2×SD16—1182no—
419C2×SD16—1182no—
420C2×M16—594no—
421C2×M16—1182no—
422C2×M16—1182no—
423C22×C8—591no—
424C22×C8—591no—
425C22×C8—591no—
426C22×C8—591no—
427C22⋊Q8—22no—
428C22⋊Q8C4×D5914yescomplemented
429#121—594no—
430#121—1182no—
431C4×Q8—22no—
432C4×Q8—41no—
433C4×D4—1182no—
434C4×D4—2361no—
435#117—1182no—
436#117—2361no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—41no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4C22×D5911yescharacteristic
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4C22⋊D5911yescharacteristic
457C2×C22⋊C4C22⋊D5911yescharacteristic
458C2×C42—21no—
459C2×C42—21no—
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—1182no—
476#97—1182no—
477C4×C8—1182no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—1181no—
483#95—1181no—
484#95C22⋊D5911yescharacteristic
485#95C22⋊D5911yescharacteristic
486C24—1181no—
487C24C2×C22⋊D5911yescharacteristic
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×C4×D5912yes—
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—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—81no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4—1181no—
517C22×C4—4721no—
518C22×C4—2362no—
519C22×C4—2362no—
520C22×C4C2×C4×D5912yes—
521C22×C4#1174568512yes—
522C22×C4C2×C22⋊D5911yescharacteristic
523C22×C4C2×C22⋊D5911yescharacteristic
524C22×C4C2×C22⋊D5911yescharacteristic
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C23×D5911yescharacteristic
528SD16—1188no—
529M16—1188no—
530C2×C8—592no—
531C2×C8—592no—
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—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—81no—
550C4⋊C4—592no—
551C4⋊C4—592no—
552C4⋊C4—1181no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—1181no—
556C4⋊C4—4721no—
557C4⋊C4C2×C4×D5912yes—
558C4⋊C4D4×D5912yes—
559C22⋊C4—24no—
560C22⋊C4—22no—
561C22⋊C4—41no—
562C22⋊C4—1184no—
563C22⋊C4—4721no—
564C22⋊C4—2362no—
565C22⋊C4—2362no—
566C22⋊C4—2362no—
567C42—21no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—42no—
572C42—81no—
573C42—4721no—
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×C22⋊D5912yes—
589C23C22×C22⋊D5911yescharacteristic
590Q8—22no—
591Q8—22no—
592Q8—41no—
593Q8—41no—
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—22no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—1182no—
630C2×C4—1182no—
631C2×C4—4724no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4C4×C22⋊D5912yes—
640C2×C4#1427375812yes—
641C2×C4C22×C4×D5911yescharacteristic
642C2×C4C2×D4×D5911yescharacteristic
643C2×C4#41×D5911yescharacteristic
644C2×C4C2×#1174568511yescharacteristic
645C2×C4#1427377211yescharacteristic
646C2×C4#1427377411yescharacteristic
647C8—594no—
648C8—1182no—
649C8—2361no—
650C8—2361no—
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×C22⋊D5911yescharacteristic
666C22D4×C22⋊D5911yescharacteristic
667C22#1683805111yescharacteristic
668C22C2×#1427375811yescharacteristic
669C22#1683820011yescharacteristic
670C22#1683820511yescharacteristic
671C22#1683821011yescharacteristic
672C4—22no—
673C4—22no—
674C4—41no—
675C4—42no—
676C4—42no—
677C4—41no—
678C4—42no—
679C4—41no—
680C4—81no—
681C4—4721no—
682C4—2362no—
683C4—2362no—
684C4C4×D4×D5911yescharacteristic
685C4#1683788111yescharacteristic
686C4#1683806111yescharacteristic
687C4#1683810111yescharacteristic
688C2—42no—
689C2—4722no—
690C2#2142711311yescharacteristic
691C2C4×#1427375811yescharacteristic
692C2#2143292411yescharacteristic
693C2#2143570311yescharacteristic
694C2#2143575811yescharacteristic
695C2#2143657511yescharacteristic
696C2#2143660511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2360C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenter#2360D59
hypocenterC59#23041
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2360

Complements

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

NH ≅ G/Ntype
2. C2×#16837500C2semidirect
3. C2×#16837442C2semidirect
5. #21424953C2semidirect
6. #21424831C2semidirect
7. #21424734C2semidirect
8. #21424723C2semidirect
10. #21424409C2semidirect
11. #21424364C2semidirect
12. #21424342C2semidirect
13. C4×#14273660C2semidirect
14. #21423880C2semidirect
15. C59×#2360C2semidirect
21. #16837650C4semidirect
67. C2×#11745671C2×C4semidirect
70. C2×#11745664C2×C4semidirect
93. #14273660C2×C4semidirect
94. #14273660D4semidirect
99. #14273651C2×C4semidirect
102. #14273647C2×C4semidirect
112. C22⋊Q8×C59C2×C4semidirect
344. #2360D59semidirect
410. C59#23041semidirect
428. C22⋊Q8C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376502
C2×#168375002
C2×#168374422
#214271322
#214249532
#214248312
#214247342
#214247232
#214244132
#214244092
#214243642
#214243422
C4×#142736602
#214238802
C59×#23602
#2304159