Finite Group Databasebeta

← #28607018

Subgroups — #28607018

Order 15104.

1086 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×#16837514C211yesmaximal, characteristic
2C2×D8×Dic59C211yesmaximal, characteristic
3#21427001C211yesmaximal, characteristic, complemented
4D4×Dic59⋊C4C211yesmaximal, characteristic, complemented
5#21424839C211yesmaximal, characteristic, complemented
6#21424822C211yesmaximal, characteristic, complemented
7#21424357C211yesmaximal, characteristic, complemented
8#21424355C211yesmaximal, characteristic, complemented
9#21424343C211yesmaximal, characteristic, complemented
10#21424341C211yesmaximal, characteristic, complemented
11#21424261C211yesmaximal, characteristic, complemented
12#21424104C211yesmaximal, characteristic, complemented
13#21424094C211yesmaximal, characteristic, complemented
14#21423972C211yesmaximal, characteristic, complemented
15C2×C59×#442C211yesmaximal, characteristic
16C2×D4×Dic59C2211yescharacteristic
17C2×D4×Dic59C2211yescharacteristic
18C2×D4×Dic59C2211yescharacteristic
19C2×D4×Dic59C2211yescharacteristic
20C22×Dic59⋊C4—21no—
21#16837514C418yescomplemented
22D8×Dic59—24no—
23C2×#14273661C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273659C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×Dic59⋊C8C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273637C2211yescharacteristic
33C2×C8×Dic59C2211yescharacteristic
34#16837300C2211yescharacteristic
35#16837300C2211yescharacteristic
36#16837298C2211yescharacteristic
37#16837298C2211yescharacteristic
38#16837275—21no—
39#16837275—21no—
40#16837274—21no—
41#16837274—21no—
42#16837271C2211yescharacteristic
43#16837267C2211yescharacteristic
44#16837260—21no—
45#16837260—21no—
46C4×Dic59⋊C4C2211yescharacteristic
47C2×C59⋊#95—21no—
48#16837165C2211yescharacteristic
49#16837165C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837157C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×D8×C59C2211yescharacteristic
55C2×C4×D4×C59C2211yescharacteristic
56C2×C4×D4×C59C2211yescharacteristic
57C59×#442—24no—
58C2×#106×C59C2211yescharacteristic
59C2×#102×C59C2211yescharacteristic
60C2×#102×C59C2211yescharacteristic
61C2×#97×C59C2211yescharacteristic
62C23×Dic59—21no—
63C23×Dic59—21no—
64C23×Dic59—21no—
65C23×Dic59—21no—
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68D4×Dic59—22no—
69D4×Dic59—22no—
70D4×Dic59—22no—
71D4×Dic59—22no—
72D4×Dic59—41no—
73D4×Dic59—41no—
74D4×Dic59C2×C414yescomplemented
75D4×Dic59C2×C414yescomplemented
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×Dic59⋊C4—21no—
81C2×Dic59⋊C4—21no—
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—44no—
87C2×Dic59⋊C4D411yescharacteristic
88C2×Dic59⋊C4D411yescharacteristic
89C2×C22⋊Dic59—21no—
90C2×C22⋊Dic59—21no—
91C2×C22⋊Dic59—21no—
92C2×C22⋊Dic59—21no—
93C2×C4×Dic59C2311yescharacteristic
94C2×C4×Dic59C2311yescharacteristic
95#14273661—22no—
96#14273660—41no—
97#14273659C2×C414yescomplemented
98#14273658—41no—
99Dic59⋊C8—22no—
100#14273648—22no—
101#14273648—22no—
102#14273648C2×C414yescomplemented
103#14273648C2×C414yescomplemented
104#14273637C2×C414yescomplemented
105C8×Dic59—22no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95D411yescharacteristic
113C59⋊#95D411yescharacteristic
114C22×D4×C59C2311yescharacteristic
115C22×D4×C59C2311yescharacteristic
116C23×C4×C59—21no—
117C23×C4×C59—21no—
118C2×D8×C59C2×C414yes—
119C2×D8×C59D414yes—
120C2×D8×C59Q814yes—
121C22×C8×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123C4×D4×C59—22no—
124C4×D4×C59—22no—
125C4×D4×C59—41no—
126C4×D4×C59—41no—
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C22⋊C4×C59—21no—
130C2×C22⋊C4×C59—21no—
131C2×C42×C59C2311yescharacteristic
132#106×C59—22no—
133#102×C59—22no—
134#102×C59—22no—
135#97×C59—22no—
136C24×C59—21no—
137C24×C59—21no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59—21no—
142C2×D4×C59—21no—
143C2×D4×C59—21no—
144C2×D4×C59C22×C412yes—
145C2×D4×C59C22×C412yes—
146C2×D4×C59C2×D412yes—
147C2×D4×C59C2×D412yes—
148C2×D4×C59C2×Q812yes—
149C2×D4×C59C2×Q812yes—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—42no—
153C22×C4×C59—42no—
154C22×C4×C59—42no—
155C22×C4×C59—42no—
156C22×C4×C59—81no—
157C22×C4×C59—81no—
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2411yescharacteristic
161C22×Dic59—21no—
162C22×Dic59—21no—
163C22×Dic59—24no—
164C22×Dic59—24no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—42no—
168C22×Dic59—42no—
169C22×Dic59—42no—
170C22×Dic59—42no—
171C22×Dic59—42no—
172C22×Dic59—42no—
173C22×Dic59—81no—
174C22×Dic59—81no—
175C22×Dic59—81no—
176C22×Dic59—81no—
177C22×Dic59C2×D411yescharacteristic
178C22×Dic59C2×D411yescharacteristic
179C22×Dic59C2×D411yescharacteristic
180C22×Dic59C2×D411yescharacteristic
181D8×C59C4⋊C4116yescomplemented
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59—21no—
185C2×C8×C59C22×C412yes—
186C2×C8×C59C2×D412yes—
187C2×C8×C59C2×Q812yes—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C22⋊C4×C59—42no—
193C22⋊C4×C59—42no—
194C42×C59—21no—
195C42×C59—21no—
196C22⋊Dic59—24no—
197C22⋊Dic59—24no—
198C22⋊Dic59—42no—
199C22⋊Dic59—42no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59C22×C412yes—
207C4⋊Dic59C22×C412yes—
208Dic59⋊C4—22no—
209Dic59⋊C4—41no—
210Dic59⋊C4—42no—
211Dic59⋊C4—42no—
212Dic59⋊C4—42no—
213Dic59⋊C4—81no—
214Dic59⋊C4—81no—
215Dic59⋊C4—81no—
216C4×Dic59—21no—
217C4×Dic59—21no—
218C4×Dic59C22×C412yes—
219C4×Dic59#4112yes—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8C22×C412yes—
226C23×C59—22no—
227C23×C59—22no—
228C23×C59—22no—
229C23×C59—22no—
230C23×C59—22no—
231C23×C59—22no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59C22×D411yescharacteristic
241D4×C59—22no—
242D4×C59—22no—
243D4×C59—22no—
244D4×C59—22no—
245D4×C59—22no—
246D4×C59—22no—
247D4×C59C2×C4⋊C414yes—
248D4×C59C2×C4⋊C414yescomplemented
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—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—84no—
262C2×C4×C59—84no—
263C2×C4×C59C23×C411yescharacteristic
264C2×C4×C59C22×D411yescharacteristic
265C2×C4×C59C22×Q811yescharacteristic
266C2×C4×C59C2×#4111yescharacteristic
267C2×C4×C59H(5,𝔽2)11yescharacteristic
268C2×C4×C592−1+411yescharacteristic
269C2×Dic59—21no—
270C2×Dic59—21no—
271C2×Dic59—21no—
272C2×Dic59—21no—
273C2×Dic59—21no—
274C2×Dic59—21no—
275C2×Dic59—22no—
276C2×Dic59—22no—
277C2×Dic59—21no—
278C2×Dic59—21no—
279C2×Dic59—21no—
280C2×Dic59—48no—
281C2×Dic59—41no—
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—84no—
292C2×Dic59—84no—
293C2×Dic59—84no—
294C2×Dic59C4×D412yes—
295C2×Dic59C4×D412yes—
296C2×Dic59AGL(1,ℤ/8)12yes—
297C8×C59—41no—
298C8×C59C2×C4⋊C414yescomplemented
299C59⋊C8—22no—
300C59⋊C8—41no—
301#22676—591nomaximal, Sylow
302C22×C59—24no—
303C22×C59—24no—
304C22×C59—42no—
305C22×C59—42no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—42no—
312C22×C59—42no—
313C22×C59—42no—
314C22×C59—42no—
315C22×C59—42no—
316C22×C59C2×C4×D411yescharacteristic
317C22×C59D4211yescharacteristic
318C22×C59D4×Q811yescharacteristic
319C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
320C22×C59#57511yescharacteristic
321C22×C59#57611yescharacteristic
322C22×C59#57711yescharacteristic
323C4×C59—41no—
324C4×C59—41no—
325C4×C59—81no—
326C4×C59—81no—
327C4×C59C22×C4⋊C411yescharacteristic
328C4×C59#52011yescharacteristic
329C4×C59#54711yescharacteristic
330C4×C59#55411yescharacteristic
331Dic59—22no—
332Dic59—22no—
333Dic59—22no—
334Dic59—42no—
335Dic59—42no—
336Dic59—41no—
337Dic59—81no—
338Dic59—81no—
339C2×#442—591no—
340C2×#442D5911yescharacteristic
341C2×C4×D8—591no—
342#2349—591no—
343D4×C4⋊C4—591no—
344#1944—591no—
345#1941—591no—
346#1864—591no—
347#1864—591no—
348#1862—591no—
349#1862—591no—
350#1847—591no—
351#1804—591no—
352#1802—591no—
353#1771—591no—
354C2×C59—44no—
355C2×C59—44no—
356C2×C59D4×C4⋊C411yescharacteristic
357C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
358C2×C59#294611yescharacteristic
359C2×C59#326411yescharacteristic
360C2×C59#326711yescharacteristic
361C2×C59#338411yescharacteristic
362C2×C59#338911yescharacteristic
363C22×D8C2×D5911yescharacteristic
364C2×C4×D4—591no—
365C2×C4×D4—591no—
366C2×C4×D4—591no—
367C2×C4×D4—591no—
368C2×C4×D4C2×D5911yescharacteristic
369C2×C4×D4C2×D5911yescharacteristic
370C22×C4⋊C4—1181no—
371#442—24no—
372#442—598no—
373C4×D8—1184no—
374C2×#107—591no—
375C2×#107—591no—
376C2×#106—591no—
377C2×#106—591no—
378C2×#106C2×D5911yescharacteristic
379C2×C4⋊C8—591no—
380C2×#102—591no—
381C2×#102—591no—
382C2×#102—591no—
383C2×#102—591no—
384C2×#102C2×D5911yescharacteristic
385C2×#102C2×D5911yescharacteristic
386C2×#97—591no—
387C2×#97C2×D5911yescharacteristic
388C2×C4×C8—591no—
389#389—591no—
390#389—591no—
391#389—591no—
392#389—591no—
393#385—1181no—
394#385—1181no—
395#385—1181no—
396#385—1181no—
397#384—591no—
398#382—591no—
399#380—1181no—
400#380—1181no—
401C4×C4⋊C4—591no—
402C2×#95—1181no—
403#340—591no—
404#340—591no—
405#340—591no—
406#340—591no—
407#336—591no—
408#336—591no—
409C59#2267611yescharacteristic, complemented, Sylow
410C22×D4C22×D5911yescharacteristic
411C22×D4C22×D5911yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—1181no—
415C23×C4—1181no—
416C23×C4—1181no—
417C23×C4—1181no—
418C2×D8Dic11814yes—
419C2×D8C4×D5914yes—
420C2×D8C22⋊D5914yes—
421C22×C8—591no—
422C22×C8—591no—
423C22×C8C22×D5911yescharacteristic
424C22×C8C22×D5911yescharacteristic
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—41no—
428C4×D4—41no—
429C4×D4—594no—
430C4×D4—594no—
431C4×D4—1182no—
432C4×D4—1182no—
433C4×D4—1182no—
434C4×D4—1182no—
435C4×D4—2361no—
436C4×D4—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—1181no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—2364no—
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4—1181no—
458C2×C42—591no—
459C2×C42—591no—
460C2×C42C22×D5911yescharacteristic
461#107—1182no—
462#107—2361no—
463#106—22no—
464#106—594no—
465#106—2361no—
466C4⋊C8—1182no—
467#102—22no—
468#102—22no—
469#102—594no—
470#102—594no—
471#102—1182no—
472#102—1182no—
473#97—22no—
474#97—594no—
475C4×C8—1182no—
476#95—591no—
477#95—591no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481#95—1181no—
482#95—1181no—
483#95—1181no—
484C24—21no—
485C24—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4C2×Dic11812yes—
493C2×D4C2×Dic11812yes—
494C2×D4C2×C4×D5912yes—
495C2×D4C2×C4×D5912yes—
496C2×D4C2×C22⋊D5912yes—
497C2×D4C2×C22⋊D5912yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—591no—
507C22×C4—591no—
508C22×C4—591no—
509C22×C4—591no—
510C22×C4—1184no—
511C22×C4—1184no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4—4721no—
517C22×C4—4721no—
518C22×C4—4721no—
519C22×C4—4721no—
520C22×C4—2362no—
521C22×C4—2362no—
522C22×C4—2362no—
523C22×C4—2362no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4D4×D5911yescharacteristic
527C22×C4D4×D5911yescharacteristic
528C22×C4C23×D5911yescharacteristic
529D8Dic59⋊C4116yescomplemented
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—592no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8C2×Dic11812yes—
540C2×C8C2×C4×D5912yes—
541C2×C8C2×C22⋊D5912yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—592no—
547C4⋊C4—592no—
548C4⋊C4—1182no—
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—4721no—
558C4⋊C4—2361no—
559C4⋊C4—2362no—
560C4⋊C4—2362no—
561C4⋊C4—2362no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—1184no—
565C22⋊C4—1184no—
566C22⋊C4—2362no—
567C22⋊C4—2362no—
568C42—21no—
569C42—21no—
570C42—592no—
571C42—592no—
572C42—1181no—
573C42—1181no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23C2×D4×D5911yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4C2×Dic59⋊C414yes—
596D4C2×Dic59⋊C414yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—84no—
610C2×C4—84no—
611C2×C4—592no—
612C2×C4—592no—
613C2×C4—592no—
614C2×C4—1181no—
615C2×C4—1181no—
616C2×C4—1181no—
617C2×C4—1181no—
618C2×C4—1181no—
619C2×C4—1181no—
620C2×C4—1181no—
621C2×C4—1181no—
622C2×C4—1181no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—4724no—
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×C4—2361no—
638C2×C4—2361no—
639C2×C4C22×C4×D5911yescharacteristic
640C2×C4C22×C22⋊D5911yescharacteristic
641C2×C4C22×Dic11811yescharacteristic
642C2×C4#41×D5911yescharacteristic
643C2×C4#1427377211yescharacteristic
644C2×C4#1427377411yescharacteristic
645C8—41no—
646C8—1182no—
647C8—2361no—
648C8C2×Dic59⋊C414yescomplemented
649C22—24no—
650C22—24no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22C4×D4×D5911yescharacteristic
664C22D4×C22⋊D5911yescharacteristic
665C22D4×Dic11811yescharacteristic
666C22AGL(1,ℤ/8)×D5911yescharacteristic
667C22#1683819811yescharacteristic
668C22#1683820611yescharacteristic
669C22#1683821211yescharacteristic
670C4—41no—
671C4—41no—
672C4—81no—
673C4—81no—
674C4—1182no—
675C4—1182no—
676C4—1182no—
677C4—4721no—
678C4—4721no—
679C4—2362no—
680C4—2362no—
681C4—2361no—
682C4C22×Dic59⋊C411yescharacteristic
683C4#1683788111yescharacteristic
684C4#1683805111yescharacteristic
685C4#1683811111yescharacteristic
686C2—44no—
687C2—44no—
688C2D4×Dic59⋊C411yescharacteristic
689C2#2143290711yescharacteristic
690C2#2143292511yescharacteristic
691C2#2143557011yescharacteristic
692C2#2143561511yescharacteristic
693C2#2143699611yescharacteristic
694C2#2143705511yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#442C2
socleC23×C59C22×D4
prime radicalC22×D8×C59C22
cosocleC22×C4×C59C24
hypercenterC2×#442D59
hypocenterC59#22676
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
3. #21427001C2semidirect
4. D4×Dic59⋊C4C2semidirect
5. #21424839C2semidirect
6. #21424822C2semidirect
7. #21424357C2semidirect
8. #21424355C2semidirect
9. #21424343C2semidirect
10. #21424341C2semidirect
11. #21424261C2semidirect
12. #21424104C2semidirect
13. #21424094C2semidirect
14. #21423972C2semidirect
21. #16837514C4semidirect
74. D4×Dic59C2×C4semidirect
75. D4×Dic59C2×C4semidirect
97. #14273659C2×C4semidirect
102. #14273648C2×C4semidirect
103. #14273648C2×C4semidirect
104. #14273637C2×C4semidirect
181. D8×C59C4⋊C4semidirect
248. D4×C59C2×C4⋊C4semidirect
298. C8×C59C2×C4⋊C4semidirect
409. C59#22676semidirect
529. D8Dic59⋊C4semidirect
596. D4C2×Dic59⋊C4semidirect
648. C8C2×Dic59⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#168375142
C2×D8×Dic592
#214270012
D4×Dic59⋊C42
#214248392
#214248222
#214243572
#214243552
#214243432
#214243412
#214242612
#214241042
#214240942
#214239722
C2×C59×#4422
#2267659