Finite Group Databasebeta

← #36572576

Subgroups — #36572576

Order 22784.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19151670C211yesmaximal, characteristic
2C2×#19151638C211yesmaximal, characteristic, complemented
3C22×#15667943C211yesmaximal, characteristic, complemented
4#26023181C211yesmaximal, characteristic
5#26021020C211yesmaximal, characteristic, complemented
6#26021013C211yesmaximal, characteristic, complemented
7#26020449C211yesmaximal, characteristic, complemented
8#26020445C211yesmaximal, characteristic, complemented
9#26020444C211yesmaximal, characteristic, complemented
10#26020440C211yesmaximal, characteristic, complemented
11#26020418C211yesmaximal, characteristic, complemented
12#26020283C211yesmaximal, characteristic, complemented
13#26020279C211yesmaximal, characteristic, complemented
14#26020150C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C89C211yesmaximal, characteristic
16C22×#13083558C2211yescharacteristic
17C23×#10623494C2211yescharacteristic
18C2×#15667971C2211yescharacteristic
19C22×C4⋊Dic89C2211yescharacteristic
20#19151670C418yescomplemented
21#19151638—24no—
22C2×#15667945C2211yescharacteristic
23C2×#15667945C2211yescharacteristic
24C2×#15667945C2211yescharacteristic
25C2×#15667945C2211yescharacteristic
26C2×#15667943—24no—
27C2×#15667943C2211yescharacteristic
28C2×#15667943C2211yescharacteristic
29C2×#15667943C2211yescharacteristic
30C2×#15667943C2211yescharacteristic
31C2×#15667943C2211yescharacteristic
32C2×#15667943C2211yescharacteristic
33C2×C4⋊#10623494C2211yescharacteristic
34C2×C22⋊#10623494C2211yescharacteristic
35C2×C22⋊#10623494C2211yescharacteristic
36C2×#15667923C2211yescharacteristic
37#19151491—21no—
38#19151484—21no—
39#19151478—21no—
40#19151464C2211yescharacteristic
41#19151458C2211yescharacteristic
42#19151458C2211yescharacteristic
43C4×C4⋊Dic89C2211yescharacteristic
44C22⋊C4×Dic89—21no—
45#19151360C2211yescharacteristic
46#19151360C2211yescharacteristic
47#19151360C2211yescharacteristic
48#19151360C2211yescharacteristic
49#19151360C2211yescharacteristic
50#19151360C2211yescharacteristic
51C2×C4×D4×C89—21no—
52C2×C4×D4×C89C2211yescharacteristic
53C22×C4⋊C4×C89C2211yescharacteristic
54C22×C4⋊C4×C89C2211yescharacteristic
55#389×C89—21no—
56#385×C89—21no—
57#385×C89—21no—
58#384×C89C2211yescharacteristic
59#380×C89C2211yescharacteristic
60#380×C89C2211yescharacteristic
61C4×C4⋊C4×C89C2211yescharacteristic
62C23×Dic89—21no—
63C2×#13083558—22no—
64C2×#13083558—22no—
65C2×#13083558C2×C414yescomplemented
66C22×#10623494—22no—
67C22×#10623494—22no—
68C22×#10623494C2×C414yescomplemented
69C22×#10623494C2311yescharacteristic
70C22×#10623494C2311yescharacteristic
71C22×#10623494C2311yescharacteristic
72C22×#10623494C2311yescharacteristic
73#15667971—22no—
74#15667971—41no—
75C2×C4⋊Dic89—22no—
76C2×C4⋊Dic89—21no—
77C2×C4⋊Dic89—41no—
78C2×C4⋊Dic89C2311yescharacteristic
79C2×C4⋊Dic89C2311yescharacteristic
80C2×C4⋊Dic89C2311yescharacteristic
81C2×C4⋊Dic89C2311yescharacteristic
82C2×C22⋊Dic89—21no—
83C2×C22⋊Dic89—21no—
84C2×C22⋊Dic89—21no—
85C2×C4×Dic89—21no—
86C2×C4×Dic89—21no—
87#15667945—22no—
88#15667945—22no—
89#15667945—22no—
90#15667945—41no—
91#15667943—22no—
92#15667943—22no—
93#15667943—22no—
94#15667943—22no—
95#15667943—41no—
96#15667943D414yescomplemented
97C4⋊#10623494C2×C414yescomplemented
98C22⋊#10623494C2×C414yescomplemented
99C22⋊#10623494C2×C414yescomplemented
100#15667923C2×C414yescomplemented
101#15667919—21no—
102#15667919—21no—
103#15667919—21no—
104#15667919—21no—
105#15667919—21no—
106C22×D4×C89D411yescharacteristic
107C23×C4×C89—21no—
108C23×C4×C89—21no—
109C23×C4×C89C2311yescharacteristic
110C23×C4×C89C2311yescharacteristic
111C4×D4×C89—44no—
112C4×D4×C89C2×C414yes—
113C4×D4×C89Q814yes—
114C2×C4⋊C4×C89—22no—
115C2×C4⋊C4×C89—22no—
116C2×C4⋊C4×C89—21no—
117C2×C4⋊C4×C89—21no—
118C2×C4⋊C4×C89—21no—
119C2×C4⋊C4×C89—21no—
120C2×C4⋊C4×C89—41no—
121C2×C4⋊C4×C89—41no—
122C2×C4⋊C4×C89D411yescharacteristic
123C2×C4⋊C4×C89C2311yescharacteristic
124C2×C4⋊C4×C89C2311yescharacteristic
125C2×C4⋊C4×C89C2311yescharacteristic
126C2×C4⋊C4×C89C2311yescharacteristic
127C2×C22⋊C4×C89—21no—
128C2×C22⋊C4×C89—21no—
129C2×C22⋊C4×C89D411yescharacteristic
130C2×C22⋊C4×C89D411yescharacteristic
131C2×C42×C89—21no—
132C2×C42×C89C2311yescharacteristic
133#95×C89—21no—
134#95×C89—21no—
135#95×C89—21no—
136C22×Dic89—21no—
137C22×Dic89—21no—
138C22×Dic89—21no—
139C22×Dic89—21no—
140C22×Dic89—42no—
141C22×Dic89—42no—
142C22×Dic89—81no—
143#13083558—28no—
144C2×#10623494—21no—
145C2×#10623494—21no—
146C2×#10623494—21no—
147C2×#10623494—21no—
148C2×#10623494—21no—
149C2×#10623494—21no—
150C2×#10623494—28no—
151C2×#10623494C22×C412yes—
152C2×#10623494C22×C412yes—
153C2×#10623494C22×C412yes—
154C2×#10623494C22×C412yes—
155C2×#10623494C2×D412yes—
156C2×#10623494#4112yes—
157C4⋊Dic89—21no—
158C4⋊Dic89—21no—
159C4⋊Dic89—21no—
160C4⋊Dic89—21no—
161C4⋊Dic89—21no—
162C4⋊Dic89—21no—
163C4⋊Dic89—21no—
164C4⋊Dic89—42no—
165C4⋊Dic89C2×D412yes—
166C22⋊Dic89—42no—
167C22⋊Dic89—42no—
168C22⋊Dic89—81no—
169C4×Dic89—42no—
170C4×Dic89—81no—
171C24×C89C2×D411yescharacteristic
172C24×C89C2×D411yescharacteristic
173C2×D4×C89—22no—
174C2×D4×C89—22no—
175C2×D4×C89C4⋊C414yes—
176C22×C4×C89—21no—
177C22×C4×C89—21no—
178C22×C4×C89—21no—
179C22×C4×C89—21no—
180C22×C4×C89—21no—
181C22×C4×C89—21no—
182C22×C4×C89—21no—
183C22×C4×C89—21no—
184C22×C4×C89—21no—
185C22×C4×C89—21no—
186C22×C4×C89—21no—
187C22×C4×C89—21no—
188C22×C4×C89—42no—
189C22×C4×C89—42no—
190C22×C4×C89—42no—
191C22×C4×C89—42no—
192C22×C4×C89—81no—
193C22×C4×C89—81no—
194C22×C4×C89C22×C412yes—
195C22×C4×C89C22×C412yes—
196C22×C4×C89C2×D411yescharacteristic
197C22×C4×C89C2×D411yescharacteristic
198C22×C4×C89C2×D411yescharacteristic
199C22×C4×C89C2×D411yescharacteristic
200C22×C4×C89C2×Q812yes—
201C22×C4×C89C2×Q812yes—
202C22×C4×C89C2411yescharacteristic
203C4⋊C4×C89—21no—
204C4⋊C4×C89—21no—
205C4⋊C4×C89—21no—
206C4⋊C4×C89—21no—
207C4⋊C4×C89—21no—
208C4⋊C4×C89—21no—
209C4⋊C4×C89—21no—
210C4⋊C4×C89—42no—
211C4⋊C4×C89—42no—
212C4⋊C4×C89—42no—
213C4⋊C4×C89—81no—
214C4⋊C4×C89C4⋊C414yes—
215C4⋊C4×C89C2×D412yes—
216C22⋊C4×C89—42no—
217C22⋊C4×C89—42no—
218C22⋊C4×C89C4⋊C414yes—
219C22⋊C4×C89C4⋊C414yes—
220C42×C89—42no—
221C42×C89C22×C412yes—
222C42×C89C2×Q812yes—
223C23×C89—21no—
224C23×C89—21no—
225C23×C89—21no—
226C23×C89—21no—
227C23×C89—21no—
228C23×C89—21no—
229C23×C89—21no—
230C23×C89—21no—
231C23×C89—21no—
232C23×C89—21no—
233C23×C89C2×C4⋊C412yes—
234C23×C89C2×C4⋊C412yes—
235C23×C89AGL(1,ℤ/8)12yes—
236C23×C89#13712yes—
237C23×C89C22×D411yescharacteristic
238D4×C89—28no—
239C2×C4×C89—21no—
240C2×C4×C89—21no—
241C2×C4×C89—21no—
242C2×C4×C89—21no—
243C2×C4×C89—21no—
244C2×C4×C89—21no—
245C2×C4×C89—21no—
246C2×C4×C89—21no—
247C2×C4×C89—22no—
248C2×C4×C89—22no—
249C2×C4×C89—22no—
250C2×C4×C89—22no—
251C2×C4×C89—22no—
252C2×C4×C89—22no—
253C2×C4×C89—22no—
254C2×C4×C89—22no—
255C2×C4×C89—22no—
256C2×C4×C89—41no—
257C2×C4×C89—41no—
258C2×C4×C89—41no—
259C2×C4×C89—41no—
260C2×C4×C89—41no—
261C2×C4×C89—41no—
262C2×C4×C89—41no—
263C2×C4×C89—41no—
264C2×C4×C89—41no—
265C2×C4×C89—41no—
266C2×C4×C89—41no—
267C2×C4×C89—84no—
268C2×C4×C89—84no—
269C2×C4×C89C2×C4⋊C412yes—
270C2×C4×C89C2×C4⋊C412yes—
271C2×C4×C89C2×C4⋊C412yes—
272C2×C4×C89C2×C4⋊C412yes—
273C2×C4×C89C23×C411yescharacteristic
274C2×C4×C89C22×D411yescharacteristic
275C2×C4×C89C22×Q811yescharacteristic
276C2×C4×C89C2×#4111yescharacteristic
277C2×C4×C89H(5,𝔽2)11yescharacteristic
278C2×C4×C892−1+411yescharacteristic
279C2×Dic89—22no—
280C2×Dic89—41no—
281C2×Dic89—41no—
282C2×Dic89—41no—
283C2×Dic89—41no—
284C2×Dic89—41no—
285C2×Dic89—41no—
286C2×Dic89—41no—
287C2×Dic89—41no—
288C2×Dic89—41no—
289C2×Dic89—41no—
290C2×Dic89—41no—
291C2×Dic89—84no—
292#10623494—22no—
293#10623494—22no—
294#10623494—22no—
295#10623494C4×D414yescomplemented
296C22×C89—22no—
297C22×C89—22no—
298C22×C89—22no—
299C22×C89—22no—
300C22×C89—22no—
301C22×C89—22no—
302C22×C89—22no—
303C22×C89—22no—
304C22×C89—22no—
305C22×C89—41no—
306C22×C89—41no—
307C22×C89—41no—
308C22×C89—41no—
309C22×C89#42814yescomplemented
310C22×C89C22×C4⋊C411yescharacteristic
311C22×C89D4211yescharacteristic
312C22×C89#54711yescharacteristic
313C22×C89C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C89C2×#13711yescharacteristic
315C22×C89#57711yescharacteristic
316C22×C89#57711yescharacteristic
317C4×C89—22no—
318C4×C89—22no—
319C4×C89—22no—
320C4×C89—22no—
321C4×C89—42no—
322C4×C89—81no—
323C4×C89—81no—
324C4×C89—81no—
325C4×C89C2×C4×D411yescharacteristic
326C4×C89#52011yescharacteristic
327C4×C89D4×Q811yescharacteristic
328C4×C89#55411yescharacteristic
329Dic89—42no—
330Dic89—81no—
331Dic89—81no—
332Dic89—81no—
333#22659—891nomaximal, Sylow
334C2×C89—24no—
335C2×C89—42no—
336C2×C89D4×C4⋊C411yescharacteristic
337C2×C89C2×#42811yescharacteristic
338C2×C89#291211yescharacteristic
339C2×C89#326511yescharacteristic
340C2×C89#326611yescharacteristic
341C2×C89#334411yescharacteristic
342C2×C89#334511yescharacteristic
343C2×#435—891no—
344C2×#428—891no—
345C22×#106—891no—
346#2352—891no—
347D4×C4⋊C4D8911yescharacteristic
348#1949—891no—
349#1948—891no—
350#1854—891no—
351#1853—891no—
352#1853—891no—
353#1852—891no—
354#1847—891no—
355#1809—891no—
356#1808—891no—
357#1776—891no—
358C89#2265911yescharacteristic, complemented, Sylow
359C22×M16—891no—
360C23×C8—891no—
361C2×C4×D4—21no—
362C2×C4×D4C2×D8911yescharacteristic
363C2×#117—891no—
364C22×C4⋊C4—891no—
365C22×C4⋊C4C2×D8911yescharacteristic
366C22×C4⋊C4C2×D8911yescharacteristic
367#435—898no—
368#428—1784no—
369C2×#107—891no—
370C2×#107—891no—
371C2×#107—891no—
372C2×#107—891no—
373C2×#106—891no—
374C2×#106—891no—
375C2×#106—891no—
376C2×#106—891no—
377C2×#106—891no—
378C2×#106—891no—
379C2×#106—1784no—
380C2×C4⋊C8—891no—
381C2×C22⋊C8—891no—
382C2×C22⋊C8—891no—
383C2×#97—891no—
384#389—21no—
385#388—1781no—
386#387—1781no—
387#386—1781no—
388#385—21no—
389#385—21no—
390#384C2×D8911yescharacteristic
391#382—891no—
392#380—891no—
393#380—891no—
394#380C2×D8911yescharacteristic
395#380C2×D8911yescharacteristic
396C4×C4⋊C4—891no—
397C4×C4⋊C4C2×D8911yescharacteristic
398C4×C22⋊C4—1781no—
399#340—891no—
400#340—891no—
401#340—891no—
402#340—891no—
403#340—891no—
404#340—891no—
405C22×D4C22⋊D8911yescharacteristic
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—1781no—
409C23×C4C22×D8911yescharacteristic
410C23×C4C22×D8911yescharacteristic
411C2×M16—894no—
412C2×M16—1782no—
413C2×M16—1782no—
414C22×C8—891no—
415C22×C8—894no—
416C22×C8—891no—
417C22×C8—891no—
418C22×C8—891no—
419C22×C8—1782no—
420C22×C8—1782no—
421C4×D4—44no—
422C4×D4Dic17814yes—
423C4×D4C4×D8914yes—
424#117—3561no—
425#117—1782no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—22no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—41no—
433C2×C4⋊C4—41no—
434C2×C4⋊C4—891no—
435C2×C4⋊C4—891no—
436C2×C4⋊C4—891no—
437C2×C4⋊C4—891no—
438C2×C4⋊C4—3561no—
439C2×C4⋊C4—1782no—
440C2×C4⋊C4—1781no—
441C2×C4⋊C4C22⋊D8911yescharacteristic
442C2×C4⋊C4C22×D8911yescharacteristic
443C2×C4⋊C4C22×D8911yescharacteristic
444C2×C4⋊C4C22×D8911yescharacteristic
445C2×C4⋊C4C22×D8911yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—1781no—
449C2×C22⋊C4—1781no—
450C2×C22⋊C4—1781no—
451C2×C22⋊C4C22⋊D8911yescharacteristic
452C2×C22⋊C4C22⋊D8911yescharacteristic
453C2×C42—21no—
454C2×C42—1781no—
455C2×C42—1781no—
456C2×C42C22×D8911yescharacteristic
457#107—3561no—
458#107—1782no—
459#107—1782no—
460#107—1782no—
461#106—894no—
462#106—3561no—
463#106—1782no—
464#106—1782no—
465#106—1782no—
466#106—1782no—
467C4⋊C8—894no—
468C22⋊C8—894no—
469C22⋊C8—894no—
470#97—894no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—1781no—
475#95—1781no—
476#95—1781no—
477#95—1781no—
478#95—1781no—
479C24C2×C22⋊D8911yescharacteristic
480C24C2×C22⋊D8911yescharacteristic
481C2×D4—22no—
482C2×D4—22no—
483C2×D4#1308355314yes—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—3562no—
503C22×C4—3562no—
504C22×C4—1781no—
505C22×C4—1781no—
506C22×C4—1781no—
507C22×C4—1781no—
508C22×C4—7121no—
509C22×C4C2×C4×D8912yes—
510C22×C4C2×C4×D8912yes—
511C22×C4C2×C22⋊D8911yescharacteristic
512C22×C4C2×C22⋊D8911yescharacteristic
513C22×C4C2×C22⋊D8911yescharacteristic
514C22×C4C2×C22⋊D8911yescharacteristic
515C22×C4C2×Dic17812yes—
516C22×C4C2×Dic17812yes—
517C22×C4C23×D8911yescharacteristic
518M16—1788no—
519C2×C8—892no—
520C2×C8—892no—
521C2×C8—892no—
522C2×C8—892no—
523C2×C8—892no—
524C2×C8—892no—
525C2×C8—1788no—
526C2×C8—1781no—
527C2×C8—1781no—
528C2×C8—1781no—
529C2×C8—1781no—
530C2×C8—1781no—
531C2×C8—1781no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C4⋊C4—892no—
544C4⋊C4—3562no—
545C4⋊C4—1781no—
546C4⋊C4—1781no—
547C4⋊C4—1781no—
548C4⋊C4—1781no—
549C4⋊C4—1781no—
550C4⋊C4—1781no—
551C4⋊C4—1781no—
552C4⋊C4#1308355314yes—
553C4⋊C4D4×D8912yes—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—3562no—
557C22⋊C4—3562no—
558C22⋊C4—7121no—
559C22⋊C4#1308355314yes—
560C22⋊C4#1308355314yes—
561C42—42no—
562C42—3562no—
563C42—7121no—
564C42C2×C4×D8912yes—
565C42C2×Dic17812yes—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23C2×#1308355312yes—
577C23C2×#1308355312yes—
578C23#1566803812yes—
579C23#1566804312yes—
580C23C22×C22⋊D8911yescharacteristic
581D4—28no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4—3561no—
613C2×C4—3561no—
614C2×C4—3561no—
615C2×C4—3561no—
616C2×C4—3561no—
617C2×C4—3561no—
618C2×C4—3561no—
619C2×C4—3561no—
620C2×C4—3561no—
621C2×C4—3561no—
622C2×C4—3561no—
623C2×C4—1782no—
624C2×C4—7124no—
625C2×C4C2×#1308355312yes—
626C2×C4C2×#1308355312yes—
627C2×C4C2×#1308355312yes—
628C2×C4C2×#1308355312yes—
629C2×C4C22×C4×D8911yescharacteristic
630C2×C4C2×D4×D8911yescharacteristic
631C2×C4C22×Dic17811yescharacteristic
632C2×C4#41×D8911yescharacteristic
633C2×C4#1566805711yescharacteristic
634C2×C4#1566805911yescharacteristic
635C8—894no—
636C8—1782no—
637C8—1782no—
638C8—1782no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#1915163814yescomplemented
653C22C22×#1308355311yescharacteristic
654C22D4×C22⋊D8911yescharacteristic
655C22#1915224711yescharacteristic
656C22C2×#1566803811yescharacteristic
657C22C2×#1566804311yescharacteristic
658C22#1915240611yescharacteristic
659C22#1915240911yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4—3562no—
669C4—7121no—
670C4—7121no—
671C4—7121no—
672C4C4×D4×D8911yescharacteristic
673C4#1915207711yescharacteristic
674C4D4×Dic17811yescharacteristic
675C4#1915230711yescharacteristic
676C2—24no—
677C2—42no—
678C2D4×#1308355311yescharacteristic
679C2C2×#1915163811yescharacteristic
680C2#2602884511yescharacteristic
681C2#2603174311yescharacteristic
682C2#2603176311yescharacteristic
683C2#2603270111yescharacteristic
684C2#2603272211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D89
commutatorC2×C4×C89C23×C4
FrattiniC22×C4C23×D89
FittingD4×C4⋊C4×C89C2
socleC23×C89C22×D4
prime radicalC22×D4×C89D4
cosocleC22×C4×C89C24
hypercenterD4×C4⋊C4D89
hypocenterC89#22659
LCSG ▷ C2×C4×C89 ▷ C2×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#19151638C2semidirect
3. C22×#15667943C2semidirect
5. #26021020C2semidirect
6. #26021013C2semidirect
7. #26020449C2semidirect
8. #26020445C2semidirect
9. #26020444C2semidirect
10. #26020440C2semidirect
11. #26020418C2semidirect
12. #26020283C2semidirect
13. #26020279C2semidirect
14. #26020150C2semidirect
20. #19151670C4semidirect
65. C2×#13083558C2×C4semidirect
68. C22×#10623494C2×C4semidirect
96. #15667943D4semidirect
97. C4⋊#10623494C2×C4semidirect
98. C22⋊#10623494C2×C4semidirect
99. C22⋊#10623494C2×C4semidirect
100. #15667923C2×C4semidirect
295. #10623494C4×D4semidirect
309. C22×C89#428semidirect
358. C89#22659semidirect
652. C22#19151638semidirect

Maximal subgroups

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

subgroupindex
C2×#191516702
C2×#191516382
C22×#156679432
#260231812
#260210202
#260210132
#260204492
#260204452
#260204442
#260204402
#260204182
#260202832
#260202792
#260201502
D4×C4⋊C4×C892
#2265989