Finite Group Databasebeta

← D4×#4176⋊C2 #72259489

Subgroups — D4×#4176⋊C2 #72259489

Order 2592.

1234 conjugacy classes of subgroups; only the 134 normal subgroups are shown.

normal subgroups only

This group has 1234 conjugacy classes of subgroups — too many to draw. Only its 134 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#4176⋊C2C212yesmaximal, complemented
2D4×#4184C211yesmaximal, characteristic, complemented
3D4×#4177C211yesmaximal, characteristic, complemented
4D4×#4176C211yesmaximal, characteristic, complemented
5#13047212C212yesmaximal, complemented
6#13047211C212yesmaximal, complemented
7#13047210C212yesmaximal, complemented
8#13047137C211yesmaximal, characteristic, complemented
9#13047136C211yesmaximal, characteristic, complemented
10#13047135C211yesmaximal, characteristic, complemented
11C4×#4176⋊C2C211yesmaximal, characteristic, complemented
12D4×((C3⋊D3)⋊C3)⋊C2—31nomaximal
13D3×D4×D9—31nomaximal
14C22×#4184C2212yescomplemented
15C22×#4177C2212yescomplemented
16C22×#4176C2212yescomplemented
17C2×#4176⋊C2—28no—
18C2×#4176⋊C2C2211yescharacteristic
19C2×#4176⋊C2C2212yescomplemented
20C2×#4176⋊C2C2212yescomplemented
21C2×#4176⋊C2C2212yescomplemented
22D4×#731C2211yescharacteristic, complemented
23#10619681C2212yescomplemented
24C4⋊#4184C2211yescharacteristic, complemented
25C4×#4184C2211yescharacteristic, complemented
26#10619646C2212yescomplemented
27#10619645C2212yescomplemented
28C4⋊#4177C2211yescharacteristic, complemented
29C4×#4177C2211yescharacteristic, complemented
30C4⋊#4176C2211yescharacteristic, complemented
31C4×#4176C2211yescharacteristic, complemented
32#10619558C2212yescomplemented
33#10619557C2212yescomplemented
34#10619556C2212yescomplemented
35#4177⋊C4C2211yescharacteristic, complemented
36#4184⋊C4C2211yescharacteristic, complemented
37#4176⋊C4C2211yescharacteristic, complemented
38C22×((C3⋊D3)⋊C3)⋊C2—32no—
39C22×D3×D9—32no—
40D4×#272D311yescharacteristic
41D4×C3⋊D9D311yescharacteristic, complemented
42D4×AGL(1,ℤ/9)—61no—
43D4×(C3⋊D3)⋊C3—31no—
44D4×(C3⋊D3)⋊C3—31no—
45D3×D4×C9—31no—
46C3×D4×D9—31no—
47#88677—32no—
48#88676—32no—
49#88676—32no—
50#88668—32no—
51D9×#67—32no—
52D3×#611—32no—
53#88655—31no—
54#88654—31no—
55#88654—31no—
56C4×((C3⋊D3)⋊C3)⋊C2—31no—
57#88646—31no—
58D9×D12—31no—
59D3×D36—31no—
60C4×D3×D9—31no—
61C22×#731C2312yescomplemented
62C2×#4184—24no—
63C2×#4184C2311yescharacteristic
64C2×#4184C2312yescomplemented
65C2×#4177—24no—
66C2×#4177C2311yescharacteristic
67C2×#4177C2312yescomplemented
68C2×#4176—24no—
69C2×#4176C2311yescharacteristic
70C2×#4176C2312yescomplemented
71#4176⋊C2—24no—
72#4176⋊C2—24no—
73#4176⋊C2—24no—
74#4176⋊C2D414yesdirect product factor
75C4×#731C2311yescharacteristic, complemented
76#66331C2311yescharacteristic, complemented
77#66324C2311yescharacteristic, complemented
78#66323C2311yescharacteristic, complemented
79D32×D4—91no—
80D32×D4—91no—
81C2×D4×D9—91no—
82C22×#272C2×D312yes—
83C22×C3⋊D9C2×D312yescomplemented
84C22×AGL(1,ℤ/9)—62no—
85C22×(C3⋊D3)⋊C3—32no—
86C22×(C3⋊D3)⋊C3—32no—
87C22×D3×C9—32no—
88C22×C3×D9—32no—
89C2×((C3⋊D3)⋊C3)⋊C2—31no—
90C2×((C3⋊D3)⋊C3)⋊C2—32no—
91C2×((C3⋊D3)⋊C3)⋊C2—32no—
92C2×((C3⋊D3)⋊C3)⋊C2—32no—
93C2×((C3⋊D3)⋊C3)⋊C2—68no—
94C2×D3×D9—31no—
95C2×D3×D9—32no—
96C2×D3×D9—32no—
97C2×D3×D9—32no—
98C2×D3×D9—68no—
99D4×3−1+2—21no—
100D4×H(3,𝔽3)C2×D311yescharacteristic
101C3×D4×C9C2×D311yescharacteristic, complemented
102#6235C2×D312yes—
103#6233C2×D312yescomplemented
104C4⋊#272C2×D311yescharacteristic
105C4×#272C2×D311yescharacteristic
106C4⋊(C3⋊D9)C2×D311yescharacteristic, complemented
107C4×C3⋊D9C2×D311yescharacteristic, complemented
108#611⋊C3—62no—
109#638⋊C3—32no—
110#638⋊C3—32no—
111C9×#67—32no—
112C3×#611—32no—
113C4⋊AGL(1,ℤ/9)—61no—
114C4×AGL(1,ℤ/9)—61no—
115C4⋊((C3⋊D3)⋊C3)—31no—
116C4⋊((C3⋊D3)⋊C3)—31no—
117C4×(C3⋊D3)⋊C3—31no—
118C4×(C3⋊D3)⋊C3—31no—
119C9×D12—31no—
120C4×D3×C9—31no—
121C3×D36—31no—
122C3×C4×D9—31no—
123#6200—32no—
124#6200—32no—
125#6199—31no—
126#6198—32no—
127((C3⋊D3)⋊C3)⋊C4—31no—
128((C3⋊D3)⋊C3)⋊C4—31no—
129#6195—32no—
130#6194—32no—
131D3×Dic9—31no—
132#6192—32no—
133(C3⋊D9)⋊C4—31no—
134Dic3×D9—31no—
135C2×#731—22no—
136C2×#731C2411yescharacteristic
137#4184—22no—
138#4184C2×D412yescomplemented
139#4177—22no—
140#4177C2×D412yescomplemented
141#4176—22no—
142#4176C2×D412yescomplemented
143C22×D32—92no—
144C22×D32—92no—
145D4×C3⋊D3—31no—
146D4×C3⋊D3—31no—
147C3×D3×D4—31no—
148C3×D3×D4—91no—
149C3×D3×D4—91no—
150C3×D3×D4—181no—
151#3811—92no—
152#3811—92no—
153D3×#67—92no—
154D3×#67—92no—
155D3×#67—92no—
156D3×#67—92no—
157#3802—91no—
158#3802—91no—
159D3×D12—91no—
160D3×D12—91no—
161D3×D12—91no—
162D3×D12—91no—
163C4×D32—91no—
164C4×D32—91no—
165C23×D9—92no—
166C2×D4×C9—91no—
167C2×#611—92no—
168D4×D9—31no—
169D4×D9—61no—
170D4×D9—91no—
171D4×D9—91no—
172D4×D9—92no—
173D4×D9—91no—
174D4×D9—92no—
175C2×D36—91no—
176C2×C4×D9—91no—
177C22×3−1+2—22no—
178C22×H(3,𝔽3)C22×D312yes—
179C22×C3×C9C22×D312yescomplemented
180C2×#272—24no—
181C2×#272C22×D312yes—
182C2×#272C22×D311yescharacteristic
183C2×C3⋊D9—24no—
184C2×C3⋊D9C22×D311yescharacteristic
185C2×C3⋊D9C22×D312yescomplemented
186C2×AGL(1,ℤ/9)—61no—
187C2×AGL(1,ℤ/9)—62no—
188C2×AGL(1,ℤ/9)—124no—
189C2×(C3⋊D3)⋊C3—31no—
190C2×(C3⋊D3)⋊C3—31no—
191C2×(C3⋊D3)⋊C3—32no—
192C2×(C3⋊D3)⋊C3—32no—
193C2×(C3⋊D3)⋊C3—64no—
194C2×(C3⋊D3)⋊C3—64no—
195C2×D3×C9—31no—
196C2×D3×C9—32no—
197C2×D3×C9—64no—
198C2×C3×D9—31no—
199C2×C3×D9—32no—
200C2×C3×D9—64no—
201((C3⋊D3)⋊C3)⋊C2—34no—
202((C3⋊D3)⋊C3)⋊C2—64no—
203((C3⋊D3)⋊C3)⋊C2—64no—
204((C3⋊D3)⋊C3)⋊C2—64no—
205D3×D9—34no—
206D3×D9—64no—
207D3×D9—64no—
208D3×D9—64no—
209C4×3−1+2—21no—
210C4×H(3,𝔽3)C22×D311yescharacteristic
211C3×C4×C9C22×D311yescharacteristic, complemented
212#1084C22×D311yescharacteristic
213C3⋊Dic9C22×D311yescharacteristic, complemented
2143−1+2⋊C4—61no—
215(C3⋊Dic3)⋊C3—31no—
216(C3⋊Dic3)⋊C3—31no—
217C9×Dic3—31no—
218C3×Dic9—31no—
219C2×D3×D4—271no—
220C2×D3×D4—271no—
221C2×D3×D4—271no—
222#731C22×D411yescharacteristic, complemented, Sylow
223C22×C3⋊D3—32no—
224C22×C3⋊D3—32no—
225C22×C3×D3—32no—
226C22×C3×D3—92no—
227C22×C3×D3—92no—
228C22×C3×D3—182no—
229C2×D32—91no—
230C2×D32—91no—
231C2×D32—92no—
232C2×D32—92no—
233C2×D32—92no—
234C2×D32—92no—
235C2×D32—92no—
236C2×D32—92no—
237C2×D32—188no—
238C2×D32—188no—
239C32×D4—61no—
240C32×D4D3211yescharacteristic
241#638—32no—
242#638—32no—
243C4⋊(C3⋊D3)—31no—
244C4⋊(C3⋊D3)—31no—
245C4×C3⋊D3—31no—
246C4×C3⋊D3—31no—
247C3×#67—32no—
248C3×#67—92no—
249C3×#67—92no—
250C3×#67—182no—
251C3×D12—31no—
252C3×D12—91no—
253C3×D12—91no—
254C3×D12—181no—
255C3×C4×D3—31no—
256C3×C4×D3—91no—
257C3×C4×D3—91no—
258C3×C4×D3—181no—
259#626—92no—
260#626—92no—
261#626—92no—
262#626—92no—
263#625—92no—
264#625—92no—
265#624—91no—
266#624—91no—
267D3×Dic3—91no—
268D3×Dic3—91no—
269D3×Dic3—91no—
270D3×Dic3—91no—
271C23×C9—92no—
272C22×D9—32no—
273C22×D9—62no—
274C22×D9—92no—
275C22×D9—91no—
276C22×D9—92no—
277C22×D9—92no—
278C22×D9—92no—
279C22×D9—188no—
280D4×C9—31no—
281D4×C9—61no—
282D4×C9—91no—
283D4×C9—92no—
284C2×C4×C9—91no—
285#611—32no—
286#611—62no—
287#611—92no—
288#611—92no—
289#611—92no—
290C2×Dic9—91no—
291D36—31no—
292D36—61no—
293D36—91no—
294D36—92no—
295C4×D9—31no—
296C4×D9—61no—
297C4×D9—91no—
298C4×D9—91no—
299C4×D9—91no—
300C2×3−1+2—21no—
301C2×3−1+2—42no—
302C2×H(3,𝔽3)—22no—
303C2×H(3,𝔽3)C23×D311yescharacteristic
304C2×C3×C9—22no—
305C2×C3×C9C23×D311yescharacteristic
306#272—22no—
307#272D3×D412yes—
308C3⋊D9—22no—
309C3⋊D9D3×D412yescomplemented
310AGL(1,ℤ/9)—62no—
311AGL(1,ℤ/9)—122no—
312(C3⋊D3)⋊C3—32no—
313(C3⋊D3)⋊C3—32no—
314(C3⋊D3)⋊C3—62no—
315(C3⋊D3)⋊C3—62no—
316D3×C9—32no—
317D3×C9—62no—
318C3×D9—32no—
319C3×D9—62no—
320C23×D3—272no—
321C23×D3—272no—
322C23×D3—272no—
323C2×C3×D4—91no—
324C2×C3×D4—271no—
325C2×C3×D4—271no—
326C2×#67—272no—
327C2×#67—272no—
328C2×#67—272no—
329D3×D4—31no—
330D3×D4—91no—
331D3×D4—91no—
332D3×D4—181no—
333D3×D4—271no—
334D3×D4—271no—
335D3×D4—271no—
336D3×D4—271no—
337D3×D4—272no—
338D3×D4—272no—
339D3×D4—272no—
340D3×D4—272no—
341D3×D4—272no—
342D3×D4—272no—
343D3×D4—271no—
344D3×D4—271no—
345D3×D4—541no—
346D3×D4—541no—
347C2×D12—271no—
348C2×D12—271no—
349C2×D12—271no—
350C2×C4×D3—271no—
351C2×C4×D3—271no—
352C2×C4×D3—271no—
353C22×C32—62no—
354C22×C32C2×D3212yes—
355C2×C3⋊D3—31no—
356C2×C3⋊D3—31no—
357C2×C3⋊D3—32no—
358C2×C3⋊D3—32no—
359C2×C3⋊D3—64no—
360C2×C3⋊D3—64no—
361C2×C3×D3—31no—
362C2×C3×D3—32no—
363C2×C3×D3—64no—
364C2×C3×D3—91no—
365C2×C3×D3—91no—
366C2×C3×D3—92no—
367C2×C3×D3—92no—
368C2×C3×D3—181no—
369C2×C3×D3—182no—
370C2×C3×D3—184no—
371C2×C3×D3—184no—
372C2×C3×D3—364no—
373D32—94no—
374D32—94no—
375D32—184no—
376D32—184no—
377D32—184no—
378D32—184no—
379D32—184no—
380D32—184no—
381C32×C4—61no—
382C32×C4C2×D3211yescharacteristic
383C3⋊Dic3—31no—
384C3⋊Dic3—31no—
385C3×Dic3—31no—
386C3×Dic3—91no—
387C3×Dic3—91no—
388C3×Dic3—181no—
389C22×C9—32no—
390C22×C9—62no—
391C22×C9—91no—
392C22×C9—92no—
393C22×C9—184no—
394C2×D9—31no—
395C2×D9—32no—
396C2×D9—61no—
397C2×D9—62no—
398C2×D9—64no—
399C2×D9—91no—
400C2×D9—92no—
401C2×D9—94no—
402C2×D9—124no—
403C2×D9—184no—
404C2×D9—184no—
405C2×D9—184no—
406C2×D9—184no—
407C4×C9—31no—
408C4×C9—61no—
409C4×C9—91no—
410Dic9—31no—
411Dic9—61no—
412Dic9—91no—
413C22×D4—811noSylow
4143−1+2—21no—
415H(3,𝔽3)C2×D3×D411yescharacteristic
416C3×C9C2×D3×D411yescharacteristic, complemented
417C23×C3—92no—
418C23×C3—272no—
419C23×C3—272no—
420C22×D3—32no—
421C22×D3—92no—
422C22×D3—92no—
423C22×D3—182no—
424C22×D3—271no—
425C22×D3—272no—
426C22×D3—272no—
427C22×D3—272no—
428C22×D3—271no—
429C22×D3—272no—
430C22×D3—272no—
431C22×D3—272no—
432C22×D3—271no—
433C22×D3—272no—
434C22×D3—272no—
435C22×D3—272no—
436C22×D3—542no—
437C22×D3—542no—
438C22×D3—548no—
439C22×D3—548no—
440C22×D3—548no—
441C3×D4—61no—
442C3×D4—92no—
443C3×D4—91no—
444C3×D4—181no—
445C3×D4—271no—
446C3×D4—271no—
447C3×D4—272no—
448C3×D4—272no—
449C3×D4((C3⋊D3)⋊C3)⋊C211yescharacteristic
450C2×C3×C4—91no—
451C2×C3×C4—271no—
452C2×C3×C4—271no—
453#67—32no—
454#67—92no—
455#67—92no—
456#67—182no—
457#67—272no—
458#67—272no—
459#67—272no—
460#67—272no—
461#67—272no—
462#67—272no—
463#67—542no—
464#67—542no—
465C2×Dic3—271no—
466C2×Dic3—271no—
467C2×Dic3—271no—
468D12—31no—
469D12—91no—
470D12—91no—
471D12—181no—
472D12—272no—
473D12—272no—
474D12—272no—
475D12—541no—
476D12—541no—
477C4×D3—31no—
478C4×D3—91no—
479C4×D3—91no—
480C4×D3—181no—
481C4×D3—271no—
482C4×D3—271no—
483C4×D3—271no—
484C4×D3—271no—
485C4×D3—271no—
486C4×D3—271no—
487C4×D3—541no—
488C4×D3—541no—
489C2×C32—22no—
490C2×C32—61no—
491C2×C32—122no—
492C2×C32C22×D3211yescharacteristic
493C3⋊D3—32no—
494C3⋊D3—32no—
495C3⋊D3—62no—
496C3⋊D3—62no—
497C3×D3—32no—
498C3×D3—62no—
499C3×D3—92no—
500C3×D3—92no—
501C3×D3—182no—
502C3×D3—182no—
503C3×D3—182no—
504C3×D3—362no—
505C2×C9—31no—
506C2×C9—62no—
507C2×C9—61no—
508C2×C9—92no—
509C2×C9—122no—
510C2×C9—182no—
511D9—32no—
512D9—62no—
513D9—62no—
514D9—92no—
515D9—122no—
516D9—182no—
517C24—812no—
518C2×D4—91no—
519C2×D4—271no—
520C2×D4—271no—
521C2×D4—811no—
522C2×D4—811no—
523C2×D4—811no—
524C2×D4—812no—
525C2×D4—812no—
526C2×D4—812no—
527C22×C4—811no—
528C22×C3—62no—
529C22×C3—91no—
530C22×C3—92no—
531C22×C3—184no—
532C22×C3—182no—
533C22×C3—271no—
534C22×C3—272no—
535C22×C3—271no—
536C22×C3—272no—
537C22×C3—544no—
538C22×C3—544no—
539C22×C3C2×((C3⋊D3)⋊C3)⋊C212yes—
540C2×D3—31no—
541C2×D3—32no—
542C2×D3—64no—
543C2×D3—91no—
544C2×D3—91no—
545C2×D3—92no—
546C2×D3—92no—
547C2×D3—181no—
548C2×D3—182no—
549C2×D3—184no—
550C2×D3—184no—
551C2×D3—274no—
552C2×D3—274no—
553C2×D3—274no—
554C2×D3—364no—
555C2×D3—541no—
556C2×D3—541no—
557C2×D3—542no—
558C2×D3—542no—
559C2×D3—544no—
560C2×D3—544no—
561C2×D3—544no—
562C2×D3—544no—
563C2×D3—544no—
564C2×D3—544no—
565C2×D3—544no—
566C2×D3—544no—
567C2×D3—544no—
568C2×D3—1084no—
569C2×D3—1084no—
570C3×C4—61no—
571C3×C4—91no—
572C3×C4—181no—
573C3×C4—271no—
574C3×C4—271no—
575C3×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
576Dic3—31no—
577Dic3—91no—
578Dic3—91no—
579Dic3—181no—
580Dic3—541no—
581Dic3—541no—
582C32—61no—
583C32D32×D411yescharacteristic
584C9—31no—
585C9—61no—
586C23—92no—
587C23—272no—
588C23—272no—
589C23—811no—
590C23—812no—
591C23—812no—
592C23—812no—
593C23—1628no—
594D4—92no—
595D4—91no—
596D4—272no—
597D4—272no—
598D4—271no—
599D4—271no—
600D4—812no—
601D4—812no—
602D4—812no—
603D4#4176⋊C211yescharacteristic, direct product factor
604C2×C4—91no—
605C2×C4—271no—
606C2×C4—271no—
607C2×C4—811no—
608C2×C4—811no—
609C2×C4—811no—
610C2×C3—22no—
611C2×C3—61no—
612C2×C3—92no—
613C2×C3—122no—
614C2×C3—182no—
615C2×C3—181no—
616C2×C3—272no—
617C2×C3—272no—
618C2×C3—362no—
619C2×C3—542no—
620C2×C3—542no—
621C2×C3C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
622D3—32no—
623D3—62no—
624D3—92no—
625D3—92no—
626D3—182no—
627D3—182no—
628D3—182no—
629D3—362no—
630D3—542no—
631D3—542no—
632D3—1082no—
633D3—1082no—
634C22—91no—
635C22—92no—
636C22—184no—
637C22—271no—
638C22—271no—
639C22—272no—
640C22—272no—
641C22—544no—
642C22—544no—
643C22—814no—
644C22—1624no—
645C22—1624no—
646C22—1624no—
647C22C2×#4176⋊C212yescomplemented
648C4—91no—
649C4—271no—
650C4—271no—
651C4C2×#4176⋊C211yescharacteristic, complemented
652C3—61no—
653C3—181no—
654C3D4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
655C2—22no—
656C2—92no—
657C2—182no—
658C2—272no—
659C2—272no—
660C2—542no—
661C2—542no—
662C2C22×#4176⋊C211yescharacteristic
subgroupG/H
centerC2C22×#4176⋊C2
commutator, cosocleC2×#731C24
FrattiniC2×C32C22×D32
FittingD4×#731C22
socleC2×C3C22×((C3⋊D3)⋊C3)⋊C2
hypercenterD4#4176⋊C2
hypocenter#731C22×D4
LCSG ▷ C2×#731 ▷ #731
UCSC1 ◁ C2 ◁ D4

Complements

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

NH ≅ G/Ntype
1. C22×#4176⋊C2C2semidirect
2. D4×#4184C2semidirect
3. D4×#4177C2semidirect
4. D4×#4176C2semidirect
5. #13047212C2semidirect
6. #13047211C2semidirect
7. #13047210C2semidirect
8. #13047137C2semidirect
9. #13047136C2semidirect
10. #13047135C2semidirect
11. C4×#4176⋊C2C2semidirect
14. C22×#4184C22semidirect
15. C22×#4177C22semidirect
16. C22×#4176C22semidirect
19. C2×#4176⋊C2C22semidirect
20. C2×#4176⋊C2C22semidirect
21. C2×#4176⋊C2C22semidirect
22. D4×#731C22semidirect
23. #10619681C22semidirect
24. C4⋊#4184C22semidirect
25. C4×#4184C22semidirect
26. #10619646C22semidirect
27. #10619645C22semidirect
28. C4⋊#4177C22semidirect
29. C4×#4177C22semidirect
30. C4⋊#4176C22semidirect
31. C4×#4176C22semidirect
32. #10619558C22semidirect
33. #10619557C22semidirect
34. #10619556C22semidirect
35. #4177⋊C4C22semidirect
36. #4184⋊C4C22semidirect
37. #4176⋊C4C22semidirect
41. D4×C3⋊D9D3semidirect
61. C22×#731C23semidirect
64. C2×#4184C23semidirect
67. C2×#4177C23semidirect
70. C2×#4176C23semidirect
74. #4176⋊C2D4direct (N × H)
75. C4×#731C23semidirect
76. #66331C23semidirect
77. #66324C23semidirect
78. #66323C23semidirect
83. C22×C3⋊D9C2×D3semidirect
101. C3×D4×C9C2×D3semidirect
103. #6233C2×D3semidirect
106. C4⋊(C3⋊D9)C2×D3semidirect
107. C4×C3⋊D9C2×D3semidirect
138. #4184C2×D4semidirect
140. #4177C2×D4semidirect
142. #4176C2×D4semidirect
179. C22×C3×C9C22×D3semidirect
185. C2×C3⋊D9C22×D3semidirect
211. C3×C4×C9C22×D3semidirect
213. C3⋊Dic9C22×D3semidirect
222. #731C22×D4semidirect
309. C3⋊D9D3×D4semidirect
416. C3×C9C2×D3×D4semidirect
603. D4#4176⋊C2direct (N × H)
647. C22C2×#4176⋊C2semidirect
651. C4C2×#4176⋊C2semidirect

Maximal subgroups

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

subgroupindex
C22×#4176⋊C22
D4×#41842
D4×#41772
D4×#41762
#130472122
#130472112
#130472102
#130471372
#130471362
#130471352
C4×#4176⋊C22
D4×((C3⋊D3)⋊C3)⋊C23
D3×D4×D93