Finite Group Databasebeta

← #28607020

Subgroups — #28607020

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×#16837512C211yesmaximal, characteristic
2C2×#16837512C211yesmaximal, characteristic
3C2×C4×#11745669C211yesmaximal, characteristic
4#21427007C211yesmaximal, characteristic, complemented
5#21424836C211yesmaximal, characteristic, complemented
6#21424821C211yesmaximal, characteristic, complemented
7#21424357C211yesmaximal, characteristic, complemented
8#21424356C211yesmaximal, characteristic, complemented
9#21424343C211yesmaximal, characteristic, complemented
10#21424342C211yesmaximal, characteristic, complemented
11#21424262C211yesmaximal, characteristic, complemented
12#21424106C211yesmaximal, characteristic, complemented
13#21424093C211yesmaximal, characteristic, complemented
14#21423971C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C59C211yesmaximal, characteristic, complemented
16C22×#11745669C2211yescharacteristic
17C2×C4×D236C2211yescharacteristic
18C2×C4×D236C2211yescharacteristic
19C2×C4×D236C2211yescharacteristic
20#16837512—24no—
21#16837512C418yescomplemented
22C4×#11745669—24no—
23C2×#14273660C2211yescharacteristic
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×#14273658C2211yescharacteristic
27C2×#14273658C2211yescharacteristic
28C2×C4⋊(C59⋊C8)C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273647C2211yescharacteristic
33C2×#14273647C2211yescharacteristic
34C2×#14273647C2211yescharacteristic
35C2×#14273638C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837300C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837273—21no—
41#16837273—21no—
42#16837268C2211yescharacteristic
43#16837261—21no—
44#95×D59—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C22×C4⋊C4×C59—21no—
55C59×#389C2211yescharacteristic
56C59×#389C2211yescharacteristic
57C59×#385—21no—
58C59×#385—21no—
59C59×#384C2211yescharacteristic
60C59×#380—21no—
61C4×C4⋊C4×C59C2211yescharacteristic
62C22×D236C2311yescharacteristic
63C22×C4×D59—21no—
64C22×C4×D59—21no—
65C22×C4×D59—21no—
66C2×#11745669C2×C414yes—
67C2×#11745669D414yes—
68C2×#11745669Q814yes—
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C4×D236—22no—
74C4×D236—22no—
75C4×D236—22no—
76C4×D236—41no—
77C4×D236—41no—
78C4×D236C2×C414yescomplemented
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×(C2×D59)⋊C4—21no—
85C2×(C2×D59)⋊C4—21no—
86C2×(C2×D59)⋊C4—21no—
87#14273660—22no—
88#14273660—41no—
89#14273658—22no—
90#14273658—41no—
91#14273658C2×C414yescomplemented
92C4⋊(C59⋊C8)—22no—
93#14273648—22no—
94#14273648—22no—
95#14273648C2×C414yescomplemented
96#14273647—22no—
97#14273647—22no—
98#14273647C2×C414yescomplemented
99#14273638—22no—
100#14273638C2×C414yescomplemented
101C4×C59⋊C8—22no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C22×D4×C59C2311yescharacteristic
107C23×C4×C59—21no—
108C23×C4×C59—21no—
109C23×C4×C59—21no—
110C4×D4×C59—22no—
111C4×D4×C59—22no—
112C4×D4×C59—22no—
113C4×D4×C59—41no—
114C4×D4×C59—41no—
115C4×D4×C59C2×C414yescomplemented
116C2×C4⋊C4×C59—21no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59—21no—
119C2×C4⋊C4×C59—21no—
120C2×C4⋊C4×C59—44no—
121C2×C4⋊C4×C59D411yescharacteristic
122C2×C4⋊C4×C59D411yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C4⋊C4×C59C2311yescharacteristic
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59—21no—
128C2×C22⋊C4×C59—21no—
129C2×C42×C59C2311yescharacteristic
130C2×C42×C59C2311yescharacteristic
131C2×C42×C59C2311yescharacteristic
132#95×C59—21no—
133#95×C59—21no—
134#95×C59D411yescharacteristic
135#95×C59D411yescharacteristic
136C24×C59—21no—
137C23×D59—21no—
138C2×D4×C59—21no—
139C2×D4×C59—21no—
140C2×D4×C59—21no—
141C2×D4×C59C22×C412yes—
142C2×D4×C59C2×D412yes—
143C2×D4×C59C2×Q812yes—
144C22×C4×C59—21no—
145C22×C4×C59—24no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—42no—
149C22×C4×C59—42no—
150C22×C4×C59—42no—
151C22×C4×C59—42no—
152C22×C4×C59—42no—
153C22×C4×C59—42no—
154C22×C4×C59—81no—
155C22×C4×C59—81no—
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2411yescharacteristic
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C2×D236—21no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236C22×C412yes—
170C2×D236C2×D412yes—
171C2×D236C2×Q812yes—
172C2×C4×D59—24no—
173C2×C4×D59—42no—
174C2×C4×D59—42no—
175C2×C4×D59—42no—
176C2×C4×D59—42no—
177C2×C4×D59—81no—
178C2×C4×D59—81no—
179C2×C4×D59—81no—
180C2×C4×D59—81no—
181C4⋊C4×C59—22no—
182C4⋊C4×C59—21no—
183C4⋊C4×C59—21no—
184C4⋊C4×C59—21no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—41no—
188C4⋊C4×C59—42no—
189C4⋊C4×C59—42no—
190C4⋊C4×C59—42no—
191C4⋊C4×C59—81no—
192C4⋊C4×C59C22×C412yes—
193C22⋊C4×C59—24no—
194C22⋊C4×C59—42no—
195C22⋊C4×C59—42no—
196C42×C59—21no—
197C42×C59—21no—
198C42×C59—21no—
199C42×C59—21no—
200C42×C59C22×C412yes—
201C42×C59#4112yes—
202#11745669C4⋊C4116yescomplemented
203(C2×D59)⋊C4—24no—
204(C2×D59)⋊C4—42no—
205(C2×D59)⋊C4—42no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59C22×C412yes—
212Dic59⋊C4—81no—
213Dic59⋊C4—81no—
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⋊C8C2×Q812yes—
226C23×C59—22no—
227C23×C59—22no—
228C23×C59—22no—
229C23×C59—41no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59C22×D411yescharacteristic
234C22×D59—22no—
235C22×D59—22no—
236C22×D59—22no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241D4×C59—22no—
242D4×C59—22no—
243D4×C59—22no—
244D4×C59C2×C4⋊C414yes—
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—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—48no—
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×C59—84no—
272C2×C4×C59C4×D412yes—
273C2×C4×C59C4×D412yes—
274C2×C4×C59AGL(1,ℤ/8)12yes—
275C2×C4×C59C23×C411yescharacteristic
276C2×C4×C59C22×D411yescharacteristic
277C2×C4×C59C22×Q811yescharacteristic
278C2×C4×C59C2×#4111yescharacteristic
279C2×C4×C59H(5,𝔽2)11yescharacteristic
280C2×C4×C592−1+411yescharacteristic
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—
290D236—22no—
291D236—22no—
292D236—22no—
293D236C2×C4⋊C414yescomplemented
294C4×D59—84no—
295C4×D59—84no—
296C4×D59—84no—
297C59⋊C8—22no—
298C59⋊C8—41no—
299C59⋊C8—41no—
300C59⋊C8C2×C4⋊C414yescomplemented
301#22676—591nomaximal, Sylow
302C22×C59—24no—
303C22×C59—42no—
304C22×C59—42no—
305C22×C59—42no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59C2×C4×D411yescharacteristic
310C22×C59D4211yescharacteristic
311C22×C59D4×Q811yescharacteristic
312C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
313C22×C59#57511yescharacteristic
314C22×C59#57611yescharacteristic
315C22×C59#57711yescharacteristic
316C2×D59—24no—
317C2×D59—42no—
318C2×D59—42no—
319C2×D59—42no—
320C2×D59—42no—
321C2×D59—42no—
322C2×D59—42no—
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—22no—
326C4×C59—42no—
327C4×C59—41no—
328C4×C59—41no—
329C4×C59—41no—
330C4×C59—81no—
331C4×C59—81no—
332C4×C59C22×C4⋊C411yescharacteristic
333C4×C59#52011yescharacteristic
334C4×C59#54711yescharacteristic
335C4×C59#55411yescharacteristic
336Dic59—42no—
337Dic59—81no—
338Dic59—81no—
339C2×#442—591no—
340C2×#442—591no—
341C2×C4×D8—591no—
342#2349—591no—
343D4×C4⋊C4D5911yescharacteristic, complemented
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×C59D4×C4⋊C411yescharacteristic
356C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
357C2×C59#294611yescharacteristic
358C2×C59#326411yescharacteristic
359C2×C59#326711yescharacteristic
360C2×C59#338411yescharacteristic
361C2×C59#338911yescharacteristic
362D59—44no—
363C22×D8—591no—
364C2×C4×D4—591no—
365C2×C4×D4—591no—
366C2×C4×D4—591no—
367C2×C4×D4C2×D5911yescharacteristic
368C2×C4×D4C2×D5911yescharacteristic
369C2×C4×D4C2×D5911yescharacteristic
370C22×C4⋊C4—21no—
371#442—598no—
372#442—1184no—
373C4×D8—1184no—
374C2×#107—591no—
375C2×#107—591no—
376C2×#106—591no—
377C2×#106—591no—
378C2×#106—591no—
379C2×C4⋊C8—591no—
380C2×#102—591no—
381C2×#102—591no—
382C2×#102—591no—
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×#97—591no—
387C2×#97—591no—
388C2×C4×C8—591no—
389#389—591no—
390#389—591no—
391#389C2×D5911yescharacteristic
392#389C2×D5911yescharacteristic
393#385—21no—
394#385—21no—
395#385—1181no—
396#385—1181no—
397#384C2×D5911yescharacteristic
398#382—591no—
399#380—21no—
400#380—1181no—
401C4×C4⋊C4C2×D5911yescharacteristic
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×D4—591no—
411C22×D4C22×D5911yescharacteristic
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—1181no—
416C23×C4—1181no—
417C23×C4—1181no—
418C2×D8—594no—
419C2×D8—594no—
420C2×D8—594no—
421C22×C8—591no—
422C22×C8—591no—
423C22×C8—591no—
424C22×C8—591no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—41no—
429C4×D4—41no—
430C4×D4—594no—
431C4×D4—1182no—
432C4×D4—1182no—
433C4×D4—1182no—
434C4×D4—2361no—
435C4×D4—2361no—
436C4×D4C4×D5914yescomplemented
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—44no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—591no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4C22⋊D5911yescharacteristic
448C2×C4⋊C4C22⋊D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4—1181no—
458C2×C42C22×D5911yescharacteristic
459C2×C42C22×D5911yescharacteristic
460C2×C42C22×D5911yescharacteristic
461#107—1182no—
462#107—2361no—
463#106—594no—
464#106—1182no—
465#106—2361no—
466C4⋊C8—1182no—
467#102—594no—
468#102—594no—
469#102—1182no—
470#102—1182no—
471#102—1182no—
472#102—1182no—
473#97—594no—
474#97—1182no—
475C4×C8—1182no—
476#95—21no—
477#95—21no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481#95—1181no—
482#95C22⋊D5911yescharacteristic
483#95C22⋊D5911yescharacteristic
484C24—21no—
485C24—1181no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—592no—
490C2×D4—592no—
491C2×D4—592no—
492C2×D4—1181no—
493C2×D4—1181no—
494C2×D4—1181no—
495C2×D4C2×C4×D5912yes—
496C2×D4D4×D5912yes—
497C2×D4Q8×D5912yes—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—1181no—
511C22×C4—1184no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—4721no—
515C22×C4—4721no—
516C22×C4—4721no—
517C22×C4—4721no—
518C22×C4—2362no—
519C22×C4—2362no—
520C22×C4—2362no—
521C22×C4—2362no—
522C22×C4C2×C22⋊D5911yescharacteristic
523C22×C4C2×C22⋊D5911yescharacteristic
524C22×C4C2×C22⋊D5911yescharacteristic
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C2×C22⋊D5911yescharacteristic
527C22×C4C2×C22⋊D5911yescharacteristic
528C22×C4C23×D5911yescharacteristic
529D8—5916no—
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—22no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—41no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—81no—
553C4⋊C4—592no—
554C4⋊C4—1181no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—4721no—
560C4⋊C4—4721no—
561C4⋊C4C2×C4×D5912yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—1184no—
566C22⋊C4—2362no—
567C22⋊C4—2362no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42C2×C4×D5912yes—
573C42#1174568512yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—1182no—
582C23—1182no—
583C23—1182no—
584C23—2361no—
585C23—2361no—
586C23—2361no—
587C23—2361no—
588C23C22×C22⋊D5911yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—594no—
593D4—1182no—
594D4—1182no—
595D4—1182no—
596D4C4⋊C4×D5914yes—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4—84no—
624C2×C4—1182no—
625C2×C4—4724no—
626C2×C4—4724no—
627C2×C4—4724no—
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×C4C4×C22⋊D5912yes—
637C2×C4C4×C22⋊D5912yes—
638C2×C4#1427375312yes—
639C2×C4C22×C4×D5911yescharacteristic
640C2×C4C2×D4×D5911yescharacteristic
641C2×C4C2×Q8×D5911yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C2×C4#1427377211yescharacteristic
644C2×C4#1427377511yescharacteristic
645C8—594no—
646C8—1182no—
647C8—2361no—
648C8—2361no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—1184no—
657C22—2362no—
658C22—2362no—
659C22—2362no—
660C22—2362no—
661C22—2362no—
662C22—2362no—
663C22C2×C4×C22⋊D5911yescharacteristic
664C22D4×C22⋊D5911yescharacteristic
665C22Q8×C22⋊D5911yescharacteristic
666C22C2×#1427375311yescharacteristic
667C22#1683820011yescharacteristic
668C22#1683820511yescharacteristic
669C22#1683821011yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—4721no—
680C4—4721no—
681C4—2362no—
682C4C2×C4⋊C4×D5911yescharacteristic
683C4#1683788311yescharacteristic
684C4#1683805311yescharacteristic
685C4#1683810711yescharacteristic
686C2—44no—
687C2—2364no—
688C2C4⋊C4×C22⋊D5911yescharacteristic
689C2C4×#1427375311yescharacteristic
690C2#2143292411yescharacteristic
691C2#2143557211yescharacteristic
692C2#2143562211yescharacteristic
693C2#2143699111yescharacteristic
694C2#2143705011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingD4×C4⋊C4×C59C2
socleC23×C59C22×D4
prime radicalC22×#11745669C22
cosocleC22×C4×C59C24
hypercenterD4×C4⋊C4D59
hypocenterC59#22676
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. #21427007C2semidirect
5. #21424836C2semidirect
6. #21424821C2semidirect
7. #21424357C2semidirect
8. #21424356C2semidirect
9. #21424343C2semidirect
10. #21424342C2semidirect
11. #21424262C2semidirect
12. #21424106C2semidirect
13. #21424093C2semidirect
14. #21423971C2semidirect
15. D4×C4⋊C4×C59C2semidirect
21. #16837512C4semidirect
78. C4×D236C2×C4semidirect
91. #14273658C2×C4semidirect
95. #14273648C2×C4semidirect
98. #14273647C2×C4semidirect
100. #14273638C2×C4semidirect
115. C4×D4×C59C2×C4semidirect
202. #11745669C4⋊C4semidirect
293. D236C2×C4⋊C4semidirect
300. C59⋊C8C2×C4⋊C4semidirect
343. D4×C4⋊C4D59semidirect
409. C59#22676semidirect
436. C4×D4C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168375122
C2×C4×#117456692
#214270072
#214248362
#214248212
#214243572
#214243562
#214243432
#214243422
#214242622
#214241062
#214240932
#214239712
D4×C4⋊C4×C592
#2267659