Finite Group Databasebeta

← #28595103

Subgroups — #28595103

Order 15104.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837602C211yesmaximal, characteristic
2C2×#16837500C211yesmaximal, characteristic, complemented
3C2×C4×#11745671C211yesmaximal, characteristic, complemented
4#21426821C211yesmaximal, characteristic
5#21425023C211yesmaximal, characteristic
6#21424864C211yesmaximal, characteristic, complemented
7#21424723C211yesmaximal, characteristic, complemented
8#21424716C211yesmaximal, characteristic, complemented
9#21424451C211yesmaximal, characteristic, complemented
10#21424451C211yesmaximal, characteristic, complemented
11#21424111C211yesmaximal, characteristic, complemented
12#21423953C211yesmaximal, characteristic, complemented
13#21423924C211yesmaximal, characteristic, complemented
14C4×#14273647C211yesmaximal, characteristic, complemented
15C59×#2276C211yesmaximal, characteristic, complemented
16C22×#11745671C2211yescharacteristic
17C22×#11745671C2211yescharacteristic
18C2×#14273724C2211yescharacteristic
19C2×C4×D236C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837602C418yescomplemented
22#16837500—24no—
23C4×#11745671—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273647C2211yescharacteristic
31C2×#14273647C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×#14273647C2211yescharacteristic
35C2×#14273647C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837304C2211yescharacteristic
39#16837304C2211yescharacteristic
40#16837280—21no—
41#16837280—21no—
42#16837280—21no—
43#16837280—21no—
44#16837268C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×C4×Q8×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C2×C4×Q8×C59C2211yescharacteristic
54C4×C4⋊C4×C59—21no—
55C4×C4⋊C4×C59—21no—
56C4×C4⋊C4×C59—21no—
57C4×C4⋊C4×C59C2211yescharacteristic
58C4×C4⋊C4×C59C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C59×#376—21no—
61C59×#376C2211yescharacteristic
62C22×D236—21no—
63C22×D236—21no—
64C22×D236C2311yescharacteristic
65C22×D236C2311yescharacteristic
66C22×C4×D59—21no—
67C22×C4×D59—21no—
68C2×#11745671—22no—
69C2×#11745671—22no—
70C2×#11745671—22no—
71C2×#11745671—22no—
72C2×#11745671C2×C414yescomplemented
73C2×#11745671C2×C414yescomplemented
74C22×C59⋊C8C2311yescharacteristic
75C22×C59⋊C8C2311yescharacteristic
76C22×C59⋊C8C2311yescharacteristic
77C22×C59⋊C8C2311yescharacteristic
78#14273724—22no—
79#14273724C2×C414yes—
80C4×D236—22no—
81C4×D236—22no—
82C4×D236—22no—
83C4×D236—22no—
84C2×C4⋊Dic59C2311yescharacteristic
85C2×C4⋊Dic59C2311yescharacteristic
86C2×(C2×D59)⋊C4—21no—
87C2×(C2×D59)⋊C4—21no—
88C2×(C2×D59)⋊C4—21no—
89C2×(C2×D59)⋊C4—21no—
90C2×(C2×D59)⋊C4—21no—
91C2×(C2×D59)⋊C4—21no—
92#14273660—22no—
93#14273658—22no—
94C4⋊(C59⋊C8)—22no—
95C4⋊(C59⋊C8)C2×C414yescomplemented
96#14273651—22no—
97#14273651—22no—
98#14273647—22no—
99#14273647—22no—
100#14273647—22no—
101#14273647—22no—
102#14273647C2×C414yescomplemented
103#14273647C2×C414yescomplemented
104#14273638—22no—
105C4×C59⋊C8—22no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×Q8×C59C2311yescharacteristic
109C4×Q8×C59—22no—
110C4×Q8×C59—22no—
111C4×Q8×C59—22no—
112C4×Q8×C59—22no—
113C4×Q8×C59C2×C414yescomplemented
114C4×Q8×C59D414yescomplemented
115C2×C4⋊C4×C59—21no—
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C4⋊C4×C59C2311yescharacteristic
121C2×C42×C59—21no—
122C2×C42×C59—21no—
123C2×C42×C59—21no—
124C2×C42×C59—21no—
125C2×C42×C59—21no—
126C2×C42×C59—21no—
127C2×C42×C59C2311yescharacteristic
128C2×C42×C59C2311yescharacteristic
129C2×C42×C59C2311yescharacteristic
130#95×C59—21no—
131#95×C59—21no—
132#95×C59—21no—
133#95×C59D411yescharacteristic
134#95×C59D411yescharacteristic
135#95×C59D411yescharacteristic
136#95×C59D411yescharacteristic
137C23×D59—21no—
138C23×D59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59C22×C412yes—
143C2×Q8×C59C2×D412yes—
144C2×Q8×C59#4112yes—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59C2×D411yescharacteristic
153C22×C4×C59C2×D411yescharacteristic
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2411yescharacteristic
156C22×Dic59—21no—
157C22×Dic59—21no—
158C2×D236—21no—
159C2×D236—21no—
160C2×D236—21no—
161C2×D236—21no—
162C2×D236—21no—
163C2×D236—21no—
164C2×D236—21no—
165C2×D236—21no—
166C2×D236—21no—
167C2×D236—21no—
168C2×D236—24no—
169C2×D236—24no—
170C2×D236—81no—
171C2×D236—81no—
172C2×D236—81no—
173C2×D236—81no—
174C2×D236C22×C412yes—
175C2×D236C22×C412yes—
176C2×C4×D59—42no—
177C2×C4×D59—42no—
178C2×C4×D59—81no—
179C2×C4×D59—81no—
180C2×C4×D59—81no—
181C2×C4×D59—81no—
182C4⋊C4×C59—24no—
183C4⋊C4×C59—24no—
184C4⋊C4×C59—24no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59C22×C412yes—
189C4⋊C4×C59C2×D412yes—
190C4⋊C4×C59#4112yes—
191C42×C59—24no—
192C42×C59—24no—
193C42×C59—24no—
194C42×C59—21no—
195C42×C59—21no—
196C42×C59—81no—
197C42×C59—81no—
198C42×C59—81no—
199C42×C59C22×C412yes—
200C42×C59C2×D412yes—
201C42×C59#4112yes—
202C42×C59#4112yes—
203#11745671—28no—
204#11745671—28no—
205(C2×D59)⋊C4—42no—
206(C2×D59)⋊C4—42no—
207(C2×D59)⋊C4—81no—
208(C2×D59)⋊C4—81no—
209(C2×D59)⋊C4—81no—
210(C2×D59)⋊C4—81no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—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—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8C22×C412yes—
226C2×C59⋊C8C22×C412yes—
227C23×C59C22×D411yescharacteristic
228C22×D59—22no—
229C22×D59—22no—
230C22×D59—41no—
231C22×D59—41no—
232C22×D59—41no—
233C22×D59—41no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C22×D59—41no—
242Q8×C59—22no—
243Q8×C59—22no—
244Q8×C59—22no—
245Q8×C59C4×D414yes—
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—22no—
258C2×C4×C59—22no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—22no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
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×C59C4×D412yes—
273C2×C4×C59C4×D412yes—
274C2×C4×C59#12112yes—
275C2×C4×C59#12112yes—
276C2×C4×C59C23×C411yescharacteristic
277C2×C4×C59C22×D411yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59C2×#4111yescharacteristic
280C2×C4×C59C2×#4111yescharacteristic
281C2×C4×C59C2×#4111yescharacteristic
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288D236—22no—
289D236—22no—
290D236—22no—
291D236—22no—
292D236—41no—
293D236—41no—
294D236—41no—
295D236—41no—
296D236—84no—
297D236—84no—
298C4×D59—84no—
299C4×D59—84no—
300C59⋊C8—22no—
301C59⋊C8—22no—
302C59⋊C8—41no—
303C59⋊C8—41no—
304#21515—591nomaximal, Sylow
305C22×C59C2×C4×D411yescharacteristic
306C22×C59C2×#12111yescharacteristic
307C22×C59#52511yescharacteristic
308C22×C59#57611yescharacteristic
309C22×C59#57711yescharacteristic
310C22×C59#57711yescharacteristic
311C22×C59#57711yescharacteristic
312C2×D59—42no—
313C2×D59—42no—
314C2×D59—42no—
315C2×D59—42no—
316C2×D59—42no—
317C2×D59—42no—
318C2×D59—81no—
319C2×D59—81no—
320C2×D59—81no—
321C2×D59—81no—
322C2×D59—81no—
323C2×D59—81no—
324C2×D59—81no—
325C2×D59—81no—
326C4×C59—22no—
327C4×C59—22no—
328C4×C59—22no—
329C4×C59—22no—
330C4×C59—24no—
331C4×C59—41no—
332C4×C59—42no—
333C4×C59—41no—
334C4×C59—42no—
335C4×C59—42no—
336C4×C59C2×C4×D411yescharacteristic
337C4×C59C4×#4111yescharacteristic
338C4×C59#52911yescharacteristic
339C4×C59#53211yescharacteristic
340Dic59—81no—
341Dic59—81no—
342C2×#460—591no—
343C2×#440—591no—
344C2×C4×SD16—591no—
345#2328—591no—
346#2276D5911yescharacteristic, complemented
347#1982—591no—
348#1949—591no—
349#1926—591no—
350#1925—591no—
351#1880—591no—
352#1880—591no—
353#1805—591no—
354#1768—591no—
355#1762—591no—
356C4×#102—591no—
357C2×C59C4×#12111yescharacteristic
358C2×C59#294611yescharacteristic
359C2×C59#294911yescharacteristic
360C2×C59#304311yescharacteristic
361C2×C59#304511yescharacteristic
362C2×C59#311911yescharacteristic
363C2×C59#312611yescharacteristic
364D59—82no—
365D59—82no—
366C22×SD16—591no—
367C22×SD16—591no—
368C2×#127—591no—
369C2×C4×Q8C2×D5911yescharacteristic
370C2×C4×Q8C2×D5911yescharacteristic
371C2×C4×Q8C2×D5911yescharacteristic
372C2×C4×D4—591no—
373C2×C4×D4—591no—
374#460—598no—
375#440—1184no—
376C4×SD16—1184no—
377C2×#107—591no—
378C2×#106—591no—
379C2×C4⋊C8—591no—
380C2×C4⋊C8—591no—
381C2×#103—591no—
382C2×#103—591no—
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×#102—591no—
387C2×#102—591no—
388C2×#102—591no—
389C2×#97—591no—
390C2×C4×C8—591no—
391#390—591no—
392#390—591no—
393#386—1181no—
394#386—1181no—
395#386—1181no—
396#386—1181no—
397#382—591no—
398C4×C4⋊C4—21no—
399C4×C4⋊C4—21no—
400C4×C4⋊C4—21no—
401C4×C4⋊C4C2×D5911yescharacteristic
402C4×C4⋊C4C2×D5911yescharacteristic
403C4×C4⋊C4C2×D5911yescharacteristic
404#376—21no—
405#376C2×D5911yescharacteristic
406#340—591no—
407#340—591no—
408#340—591no—
409#340—591no—
410#336—591no—
411#336—591no—
412C59#2151511yescharacteristic, complemented, Sylow
413C22×Q8C22×D5911yescharacteristic
414C22×D4—591no—
415C22×D4—591no—
416C22×D4—1181no—
417C22×D4—1181no—
418C23×C4—1181no—
419C23×C4—1181no—
420C2×SD16—594no—
421C2×SD16—594no—
422C2×SD16—1182no—
423C2×SD16—1182no—
424C2×SD16—1182no—
425C2×SD16—1182no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8—591no—
429C22×C8—591no—
430#127—594no—
431#127—1182no—
432C4×Q8—22no—
433C4×Q8—22no—
434C4×Q8—22no—
435C4×Q8—22no—
436C4×Q8C4×D5914yescomplemented
437C4×Q8D23614yescomplemented
438C4×D4—1182no—
439C4×D4—1182no—
440C4×D4—1182no—
441C4×D4—1182no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—591no—
446C2×C4⋊C4—591no—
447C2×C4⋊C4C22×D5911yescharacteristic
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
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×C42—21no—
457C2×C42—21no—
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—21no—
461C2×C42—21no—
462C2×C42C22×D5911yescharacteristic
463C2×C42C22×D5911yescharacteristic
464C2×C42C22×D5911yescharacteristic
465#107—1182no—
466#106—1182no—
467C4⋊C8—594no—
468C4⋊C8—1182no—
469#103—1182no—
470#103—1182no—
471#102—594no—
472#102—594no—
473#102—1182no—
474#102—1182no—
475#102—1182no—
476#102—1182no—
477#97—1182no—
478C4×C8—1182no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—1181no—
483#95—1181no—
484#95C22⋊D5911yescharacteristic
485#95C22⋊D5911yescharacteristic
486#95C22⋊D5911yescharacteristic
487#95C22⋊D5911yescharacteristic
488C24—1181no—
489C24—1181no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×C4×D5912yes—
494C2×Q8C2×D23612yes—
495C2×Q8#1174568512yes—
496C2×D4—592no—
497C2×D4—592no—
498C2×D4—1184no—
499C2×D4—1184no—
500C2×D4—1181no—
501C2×D4—1181no—
502C2×D4—1181no—
503C2×D4—1181no—
504C2×D4—1181no—
505C2×D4—1181no—
506C2×D4—1181no—
507C2×D4—1181no—
508C2×D4—1181no—
509C2×D4—1181no—
510C2×D4—4721no—
511C2×D4—4721no—
512C2×D4—4721no—
513C2×D4—4721no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—1181no—
519C22×C4—1181no—
520C22×C4—4721no—
521C22×C4—4721no—
522C22×C4—4721no—
523C22×C4—4721no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C2×C22⋊D5911yescharacteristic
529C22×C4C2×C22⋊D5911yescharacteristic
530C22×C4C2×C22⋊D5911yescharacteristic
531C22×C4C2×C22⋊D5911yescharacteristic
532C22×C4C23×D5911yescharacteristic
533SD16—1188no—
534SD16—1188no—
535C2×C8—592no—
536C2×C8—592no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8—1181no—
541C2×C8—1181no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C2×C8—1181no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4C2×C4×D5912yes—
558C4⋊C4C2×D23612yes—
559C4⋊C4#1174568512yes—
560C22⋊C4—4721no—
561C22⋊C4—4721no—
562C22⋊C4—4721no—
563C22⋊C4—4721no—
564C22⋊C4—2362no—
565C22⋊C4—2362no—
566C42—24no—
567C42—24no—
568C42—24no—
569C42—21no—
570C42—21no—
571C42—81no—
572C42—81no—
573C42—81no—
574C42C2×C4×D5912yes—
575C42C2×D23612yes—
576C42#1174568512yes—
577C42#1174568512yes—
578C23—1182no—
579C23—1182no—
580C23—2361no—
581C23—2361no—
582C23—2361no—
583C23—2361no—
584C23—2361no—
585C23—2361no—
586C23—2361no—
587C23—2361no—
588C23—2361no—
589C23—2361no—
590C23—2361no—
591C23—2361no—
592C23C22×C22⋊D5911yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—22no—
596Q8C4×D23614yes—
597D4—1182no—
598D4—1182no—
599D4—1182no—
600D4—1182no—
601D4—4724no—
602D4—4724no—
603D4—2361no—
604D4—2361no—
605D4—2361no—
606D4—2361no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—4724no—
634C2×C4—4724no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4C4×C22⋊D5912yes—
642C2×C4C4×C22⋊D5912yes—
643C2×C4#1427370112yes—
644C2×C4#1427370112yes—
645C2×C4C22×C4×D5911yescharacteristic
646C2×C4C22×D23611yescharacteristic
647C2×C4C2×#1174568511yescharacteristic
648C2×C4C2×#1174568511yescharacteristic
649C2×C4C2×#1174568511yescharacteristic
650C2×C4C2×#1174568511yescharacteristic
651C8—1182no—
652C8—1182no—
653C8—2361no—
654C8—2361no—
655C22—4721no—
656C22—4721no—
657C22—4721no—
658C22—4721no—
659C22—4721no—
660C22—4721no—
661C22—4721no—
662C22—4721no—
663C22—2362no—
664C22—2362no—
665C22—2362no—
666C22—2362no—
667C22—2362no—
668C22—2362no—
669C22C2×C4×C22⋊D5911yescharacteristic
670C22C2×#1427370111yescharacteristic
671C22#1683791311yescharacteristic
672C22#1683820511yescharacteristic
673C22#1683821011yescharacteristic
674C22#1683821011yescharacteristic
675C22#1683821011yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—24no—
681C4—41no—
682C4—42no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—4721no—
687C4—4721no—
688C4C2×C4×D23611yescharacteristic
689C4C4×#1174568511yescharacteristic
690C4#1683793611yescharacteristic
691C4#1683795211yescharacteristic
692C2—4722no—
693C2—4722no—
694C2C4×#1427370111yescharacteristic
695C2#2143292411yescharacteristic
696C2#2143295511yescharacteristic
697C2#2143361711yescharacteristic
698C2#2143363511yescharacteristic
699C2#2143429511yescharacteristic
700C2#2143438711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2276C2
socleC23×C59C22×D4
prime radicalC2×#14273724C22
cosocleC22×C4×C59C24
hypercenter#2276D59
hypocenterC59#21515
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ #376 ◁ #2276

Complements

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

NH ≅ G/Ntype
2. C2×#16837500C2semidirect
3. C2×C4×#11745671C2semidirect
6. #21424864C2semidirect
7. #21424723C2semidirect
8. #21424716C2semidirect
9. #21424451C2semidirect
10. #21424451C2semidirect
11. #21424111C2semidirect
12. #21423953C2semidirect
13. #21423924C2semidirect
14. C4×#14273647C2semidirect
15. C59×#2276C2semidirect
21. #16837602C4semidirect
72. C2×#11745671C2×C4semidirect
73. C2×#11745671C2×C4semidirect
95. C4⋊(C59⋊C8)C2×C4semidirect
102. #14273647C2×C4semidirect
103. #14273647C2×C4semidirect
113. C4×Q8×C59C2×C4semidirect
114. C4×Q8×C59D4semidirect
346. #2276D59semidirect
412. C59#21515semidirect
436. C4×Q8C4×D59semidirect
437. C4×Q8D236semidirect

Maximal subgroups

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

subgroupindex
C2×#168376022
C2×#168375002
C2×C4×#117456712
#214268212
#214250232
#214248642
#214247232
#214247162
#214244512
#214241112
#214239532
#214239242
C4×#142736472
C59×#22762
#2151559