Finite Group Databasebeta

← D4×#6291 #13177524

Subgroups — D4×#6291 #13177524

Order 1728.

3512 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C32×D3×D4C211yesmaximal, characteristic, complemented
3C22×#6291C212yesmaximal, complemented
4C3×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
5#11723638C212yesmaximal, complemented
6#11723635C212yesmaximal, complemented
7#11723630C212yesmaximal, complemented
8#11723531C211yesmaximal, characteristic, complemented
9#11723524C211yesmaximal, characteristic, complemented
10#11723516C211yesmaximal, characteristic, complemented
11C4×#6291C211yesmaximal, characteristic, complemented
12D4×#638—31nomaximal
13D4×#626—34nomaximal
14C23×C3⋊(C3⋊D3)C2212yescomplemented
15C23×C32×D3C2212yescomplemented
16C2×C33×D4C2211yescharacteristic
17C2×#6312C2212yescomplemented
18D4×C3⋊(C3⋊D3)—24no—
19C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic, complemented
20C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
21C22×C3×C3⋊Dic3C2212yescomplemented
22C2×C32×#67C2212yescomplemented
23C32×D3×D4—24no—
24C2×C32×D12C2211yescharacteristic, complemented
25C2×C32×C4×D3C2211yescharacteristic, complemented
26C2×#6291—28no—
27C2×#6291C2211yescharacteristic
28C2×#6291C2212yescomplemented
29C2×#6291C2212yescomplemented
30C2×#6291C2212yescomplemented
31C2×#6291C2212yescomplemented
32C3×#3757C2212yescomplemented
33C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
34C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
35#88807C2211yescharacteristic, complemented
36#88804C2212yescomplemented
37#88804C2211yescharacteristic, complemented
38(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
39(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
40C22×C32×D4—31no—
41C22×#638—32no—
42C2×D4×C3⋊D3—31no—
43C2×D4×C3⋊D3—34no—
44C2×D4×C3⋊D3—64no—
45C2×C3×D3×D4D314yescomplemented
46C22×#626—38no—
47#64162—32no—
48#64149—31no—
49#64148—32no—
50#64147—31no—
51#64146—32no—
52D4×C3⋊Dic3D311yescharacteristic, complemented
53#64139—31no—
54C4×#638—31no—
55C3×D4×Dic3—34no—
56#63981—38no—
57#63978—38no—
58#63977—38no—
59#63916—34no—
60#63911—34no—
61#63909—34no—
62C4×#626—34no—
63C23×C33C2312yes—
64C22×C3⋊(C3⋊D3)—24no—
65C22×C3⋊(C3⋊D3)—24no—
66C22×C3⋊(C3⋊D3)—42no—
67C22×C3⋊(C3⋊D3)C2312yes—
68C22×C3⋊(C3⋊D3)C2311yescharacteristic
69C22×C32×D3—24no—
70C22×C32×D3—24no—
71C22×C32×D3—42no—
72C22×C32×D3C2312yes—
73C22×C32×D3C2311yescharacteristic
74C33×D4D414yescomplemented
75C2×C33×C4C2311yescharacteristic
76#6312—24no—
77C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
78C4⋊(C3⋊(C3⋊D3))—22no—
79C4×C3⋊(C3⋊D3)—22no—
80C2×C3×C3⋊Dic3—24no—
81C2×C3×C3⋊Dic3C2311yescharacteristic
82C2×C3×C3⋊Dic3C2312yes—
83C2×C3×C3⋊Dic3C2311yescharacteristic
84C32×#67—24no—
85C2×C32×Dic3C2311yescharacteristic
86C32×D12—22no—
87C32×C4×D3—22no—
88#6291—24no—
89#6291—24no—
90#6291—24no—
91#6291—42no—
92#6291D414yesdirect product factor
93D4×#67—94no—
94D4×D12—91no—
95C24×C32—32no—
96C23×C3⋊D3—32no—
97C23×C3⋊D3—38no—
98C23×C3⋊D3—68no—
99C23×C3×D3C2×D318yescomplemented
100C2×C32×D4—24no—
101C2×C32×D4—32no—
102C2×C32×D4—31no—
103C2×C32×D4—64no—
104C2×C32×D4C2×D311yescharacteristic
105C2×C32×D4C2×D314yes—
106C22×C32×C4—31no—
107C2×#638—32no—
108C2×#638—38no—
109C2×#638—31no—
110C2×#638—32no—
111C2×#638—32no—
112C2×#638—32no—
113C2×#638—32no—
114C2×#638—68no—
115C2×#638—68no—
116C22×C3⋊Dic3C2×D312yescomplemented
117D4×C3⋊D3—632no—
118D4×C3⋊D3—64no—
119D4×C3⋊D3—616no—
120C2×C4⋊(C3⋊D3)—31no—
121C2×C4⋊(C3⋊D3)—34no—
122C2×C4⋊(C3⋊D3)—64no—
123C2×C4×C3⋊D3—31no—
124C2×C4×C3⋊D3—34no—
125C2×C4×C3⋊D3—64no—
126C2×C3×#67C2×D318yescomplemented
127C22×C3×Dic3—38no—
128C3×D3×D4—216no—
129C2×C3×D12C2×D314yescomplemented
130C2×C3×C4×D3C2×D314yescomplemented
131C2×#626—34no—
132C2×#626—38no—
133C2×#626—38no—
134C2×#626—38no—
135C2×#626—38no—
136C2×#626—632no—
137#3757—31no—
138#3757—32no—
139#3757C2×D312yescomplemented
140#3752—31no—
141#3752—32no—
142C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
143#3750—31no—
144C4×C3⋊Dic3C2×D311yescharacteristic, complemented
145C3×#217—38no—
146C3×C4⋊Dic3—34no—
147C3×C4×Dic3—34no—
148Dic3⋊Dic3—34no—
149#3722—34no—
150#3722—38no—
151(C2×D3)⋊Dic3—34no—
152(C2×D3)⋊Dic3—38no—
153C22×C33—22no—
154C22×C33—22no—
155C22×C33C2×D414yescomplemented
156C22×C33C2411yescharacteristic
157C2×C3⋊(C3⋊D3)—21no—
158C2×C3⋊(C3⋊D3)—21no—
159C2×C3⋊(C3⋊D3)—22no—
160C2×C3⋊(C3⋊D3)—22no—
161C2×C3⋊(C3⋊D3)—22no—
162C2×C3⋊(C3⋊D3)—48no—
163C2×C3⋊(C3⋊D3)C2×D412yescomplemented
164C2×C32×D3—21no—
165C2×C32×D3—21no—
166C2×C32×D3—22no—
167C2×C32×D3—22no—
168C2×C32×D3—22no—
169C2×C32×D3—48no—
170C2×C32×D3C2×D412yescomplemented
171C33×C4C2×D412yescomplemented
172C3⋊(C3⋊Dic3)—21no—
173C3×C3⋊Dic3—22no—
174C3×C3⋊Dic3—21no—
175C3×C3⋊Dic3C2×D412yescomplemented
176C32×Dic3—21no—
177C22×C3×D4—34no—
178C22×#67—98no—
179C2×D3×D4—94no—
180C2×D3×D4—91no—
181C2×D3×D4—184no—
182C2×D3×D4C3⋊D311yescharacteristic, complemented
183C22×D12—92no—
184C3×C4×D4—91no—
185#953—98no—
186#940—94no—
187#939—98no—
188#938—94no—
189#937—98no—
190D4×Dic3—34no—
191#930—94no—
192#930—92no—
193C4×#67—94no—
194#895—91no—
195#895—91no—
196#882—92no—
197#882—92no—
198#874—91no—
199C4×D12—91no—
200C23×C32—28no—
201C23×C32—31no—
202C23×C32—32no—
203C23×C32—64no—
204C23×C32—64no—
205C23×C32—122no—
206C23×C32C22×D318yes—
207C23×C32C22×D312yes—
208C22×C3⋊D3—31no—
209C22×C3⋊D3—32no—
210C22×C3⋊D3—34no—
211C22×C3⋊D3—38no—
212C22×C3⋊D3—64no—
213C22×C3⋊D3—68no—
214C22×C3⋊D3—64no—
215C22×C3⋊D3—632no—
216C22×C3⋊D3—64no—
217C22×C3⋊D3—616no—
218C22×C3⋊D3—616no—
219C22×C3⋊D3—1216no—
220C22×C3⋊D3—122no—
221C22×C3⋊D3—128no—
222C22×C3⋊D3—1216no—
223C22×C3×D3—216no—
224C22×C3×D3—216no—
225C22×C3×D3—48no—
226C22×C3×D3C22×D318yes—
227C22×C3×D3C22×D314yes—
228C32×D4—216no—
229C32×D4—64no—
230C32×D4—62no—
231C32×D4D1214yescomplemented
232C32×D4#67116yescomplemented
233C2×C32×C4—24no—
234C2×C32×C4—31no—
235C2×C32×C4—62no—
236C2×C32×C4C22×D314yes—
237C2×C32×C4C22×D311yescharacteristic
238#638—34no—
239#638—64no—
240#638—64no—
241#638—632no—
242#638—64no—
243#638—616no—
244#638—64no—
245#638—122no—
246C2×C3⋊Dic3—24no—
247C2×C3⋊Dic3—31no—
248C2×C3⋊Dic3—34no—
249C2×C3⋊Dic3—64no—
250C2×C3⋊Dic3C22×D311yescharacteristic
251C2×C3⋊Dic3C22×D312yes—
252C2×C3⋊Dic3C22×D311yescharacteristic
253C4⋊(C3⋊D3)—616no—
254C4⋊(C3⋊D3)—62no—
255C4⋊(C3⋊D3)—68no—
256C4×C3⋊D3—616no—
257C4×C3⋊D3—62no—
258C4×C3⋊D3—68no—
259C3×#67—216no—
260C2×C3×Dic3—34no—
261C2×C3×Dic3—34no—
262C2×C3×Dic3—38no—
263C2×C3×Dic3—616no—
264C2×C3×Dic3C22×D314yes—
265C3×D12—28no—
266C3×C4×D3—28no—
267#626—316no—
268#626—616no—
269#626—616no—
270#626—616no—
271#626—128no—
272D42—271noSylow
273C2×C33—24no—
274C2×C33C22×D411yescharacteristic
275C2×C33C22×D411yescharacteristic
276C2×C33H(5,𝔽2)11yescharacteristic
277C3⋊(C3⋊D3)—22no—
278C3⋊(C3⋊D3)—42no—
279C32×D3—22no—
280C32×D3—42no—
281C24×C3—38no—
282C23×D3—98no—
283C23×D3—92no—
284C23×D3—188no—
285C23×D3C2×C3⋊D312yescomplemented
286C2×C3×D4—24no—
287C2×C3×D4—38no—
288C2×C3×D4—34no—
289C2×C3×D4—616no—
290C2×C3×D4D3214yes—
291C2×C3×D4C2×C3⋊D311yescharacteristic
292C22×C3×C4—34no—
293C22×C3×C4—92no—
294C2×#67—94no—
295C2×#67—98no—
296C2×#67—98no—
297C2×#67—98no—
298C2×#67—98no—
299C2×#67—98no—
300C2×#67—92no—
301C2×#67—188no—
302C2×#67—1832no—
303C2×#67C2×C3⋊D312yescomplemented
304C22×Dic3—38no—
305D3×D4—24no—
306D3×D4—1832no—
307D3×D4—1816no—
308D3×D4—184no—
309C2×D12—91no—
310C2×D12—92no—
311C2×D12—92no—
312C2×D12—92no—
313C2×D12—94no—
314C2×D12—91no—
315C2×D12—92no—
316C2×D12—184no—
317C2×D12—188no—
318C2×D12C2×C3⋊D311yescharacteristic, complemented
319C2×C4×D3—94no—
320C2×C4×D3—91no—
321C2×C4×D3—184no—
322C2×C4×D3C2×C3⋊D311yescharacteristic, complemented
323C3×C4⋊C4—91no—
324C3×C22⋊C4—92no—
325C3×C42—91no—
326#217—38no—
327#217—94no—
328#217—98no—
329(C2×D3)⋊C4—94no—
330(C2×D3)⋊C4—98no—
331(C2×D3)⋊C4—91no—
332(C2×D3)⋊C4—92no—
333(C2×D3)⋊C4—91no—
334(C2×D3)⋊C4—92no—
335C4⋊Dic3—34no—
336C4⋊Dic3—91no—
337Dic3⋊C4—94no—
338C4×Dic3—34no—
339C22×C32—22no—
340C22×C32—22no—
341C22×C32—24no—
342C22×C32—216no—
343C22×C32—28no—
344C22×C32—28no—
345C22×C32—32no—
346C22×C32—48no—
347C22×C32—48no—
348C22×C32—61no—
349C22×C32—61no—
350C22×C32—62no—
351C22×C32—62no—
352C22×C32—62no—
353C22×C32—128no—
354C22×C32C2×D1214yescomplemented
355C22×C32C2×#67116yescomplemented
356C22×C32C23×D314yes—
357C22×C32C23×D311yescharacteristic
358C2×C3⋊D3—32no—
359C2×C3⋊D3—38no—
360C2×C3⋊D3—68no—
361C2×C3⋊D3—68no—
362C2×C3⋊D3—68no—
363C2×C3⋊D3—61no—
364C2×C3⋊D3—64no—
365C2×C3⋊D3—61no—
366C2×C3⋊D3—64no—
367C2×C3⋊D3—616no—
368C2×C3⋊D3—62no—
369C2×C3⋊D3—62no—
370C2×C3⋊D3—62no—
371C2×C3⋊D3—68no—
372C2×C3⋊D3—68no—
373C2×C3⋊D3—68no—
374C2×C3⋊D3—128no—
375C2×C3⋊D3—128no—
376C2×C3⋊D3—128no—
377C2×C3⋊D3—1232no—
378C2×C3⋊D3—1264no—
379C2×C3×D3—24no—
380C2×C3×D3—24no—
381C2×C3×D3—28no—
382C2×C3×D3—28no—
383C2×C3×D3—28no—
384C2×C3×D3—432no—
385C2×C3×D3D3×D418yescomplemented
386C32×C4—28no—
387C32×C4—61no—
388C32×C4C2×D1212yescomplemented
389C32×C4C2×#6718yescomplemented
390C3⋊Dic3—22no—
391C3⋊Dic3—21no—
392C3⋊Dic3—68no—
393C3⋊Dic3—61no—
394C3⋊Dic3—64no—
395C3⋊Dic3D3×D412yescomplemented
396C3×Dic3—24no—
397C3×Dic3—38no—
398C3×Dic3—68no—
399C3×Dic3—64no—
400C22×D4—31no—
401C22×D4—272no—
402C22×D4—271no—
403#127—271no—
404#121—271no—
405#121—271no—
406#121—272no—
407#120—272no—
408#120—272no—
409C4×D4—91no—
410C4×D4—271no—
411C33D4211yescharacteristic, complemented, Sylow
412C23×C3—28no—
413C23×C3—34no—
414C23×C3—38no—
415C23×C3—616no—
416C23×C3—616no—
417C23×C3—128no—
418C23×C3C2×D3218yes—
419C23×C3C22×C3⋊D312yes—
420C22×D3—24no—
421C22×D3—24no—
422C22×D3—42no—
423C22×D3—94no—
424C22×D3—91no—
425C22×D3—98no—
426C22×D3—92no—
427C22×D3—184no—
428C22×D3—188no—
429C22×D3—184no—
430C22×D3—1816no—
431C22×D3—1832no—
432C22×D3—1816no—
433C22×D3—184no—
434C22×D3—3616no—
435C22×D3—368no—
436C22×D3—362no—
437C22×D3—3616no—
438C22×D3C22×C3⋊D312yes—
439C22×D3C22×C3⋊D311yescharacteristic
440C3×D4—216no—
441C3×D4—616no—
442C3×D4—68no—
443C3×D4#626116yescomplemented
444C3×D4#63814yescomplemented
445C2×C3×C4—24no—
446C2×C3×C4—34no—
447C2×C3×C4—68no—
448C2×C3×C4—91no—
449C2×C3×C4—91no—
450C2×C3×C4—92no—
451C2×C3×C4—184no—
452C2×C3×C4C2×D3214yes—
453C2×C3×C4C22×C3⋊D311yescharacteristic
454#67—24no—
455#67—916no—
456#67—1816no—
457#67—1816no—
458#67—1816no—
459#67—1832no—
460#67—1816no—
461#67—184no—
462#67—368no—
463C2×Dic3—34no—
464C2×Dic3—34no—
465C2×Dic3—38no—
466C2×Dic3—616no—
467C2×Dic3—94no—
468C2×Dic3—91no—
469C2×Dic3—184no—
470C2×Dic3C22×C3⋊D311yescharacteristic
471D12—22no—
472D12—94no—
473D12—1816no—
474D12—184no—
475D12—184no—
476D12—184no—
477D12—188no—
478D12—182no—
479D12—362no—
480C4×D3—22no—
481C4×D3—1816no—
482C4×D3—188no—
483C4×D3—182no—
484C2×C32—24no—
485C2×C32—24no—
486C2×C32—24no—
487C2×C32—24no—
488C2×C32—216no—
489C2×C32—416no—
490C2×C32—62no—
491C2×C32—122no—
492C2×C32C22×D1211yescharacteristic
493C2×C32C2×D3×D414yes—
494C2×C32C2×D3×D411yescharacteristic
495C2×C32#100414yes—
496C2×C32#100911yescharacteristic
497C2×C32C22×#6714yes—
498C3⋊D3—616no—
499C3⋊D3—68no—
500C3⋊D3—62no—
501C3⋊D3—1216no—
502C3⋊D3—128no—
503C3⋊D3—122no—
504C3×D3—28no—
505C3×D3—48no—
506C24—32no—
507C24—272no—
508C2×D4—32no—
509C2×D4—31no—
510C2×D4—64no—
511C2×D4—271no—
512C2×D4—272no—
513C2×D4—272no—
514C2×D4—272no—
515C2×D4—272no—
516C2×D4—272no—
517C2×D4—271no—
518C2×D4—548no—
519C2×D4—544no—
520C2×D4D3×C3⋊D311yescharacteristic
521C22×C4—31no—
522C22×C4—92no—
523C22×C4—271no—
524C4⋊C4—91no—
525C4⋊C4—271no—
526C22⋊C4—92no—
527C22⋊C4—271no—
528C22⋊C4—272no—
529C22⋊C4—271no—
530C22⋊C4—272no—
531C42—91no—
532C22×C3—28no—
533C22×C3—28no—
534C22×C3—22no—
535C22×C3—22no—
536C22×C3—24no—
537C22×C3—216no—
538C22×C3—38no—
539C22×C3—48no—
540C22×C3—48no—
541C22×C3—64no—
542C22×C3—64no—
543C22×C3—68no—
544C22×C3—68no—
545C22×C3—68no—
546C22×C3—1232no—
547C22×C3C2×#626116yescomplemented
548C22×C3C2×#63814yescomplemented
549C22×C3C22×D3214yes—
550C22×C3C23×C3⋊D311yescharacteristic
551C2×D3—21no—
552C2×D3—21no—
553C2×D3—22no—
554C2×D3—22no—
555C2×D3—22no—
556C2×D3—48no—
557C2×D3—98no—
558C2×D3—92no—
559C2×D3—188no—
560C2×D3—188no—
561C2×D3—188no—
562C2×D3—184no—
563C2×D3—184no—
564C2×D3—181no—
565C2×D3—181no—
566C2×D3—1816no—
567C2×D3—188no—
568C2×D3—188no—
569C2×D3—188no—
570C2×D3—182no—
571C2×D3—182no—
572C2×D3—182no—
573C2×D3—368no—
574C2×D3—368no—
575C2×D3—3632no—
576C2×D3—368no—
577C2×D3—3664no—
578C2×D3D4×C3⋊D312yescomplemented
579C3×C4—28no—
580C3×C4—64no—
581C3×C4—92no—
582C3×C4—182no—
583C3×C4—181no—
584C3×C4C2×#62618yescomplemented
585C3×C4C2×#63812yescomplemented
586Dic3—21no—
587Dic3—38no—
588Dic3—68no—
589Dic3—64no—
590Dic3—188no—
591Dic3—184no—
592Dic3—181no—
593C32—24no—
594C32D4×D1211yescharacteristic, complemented
595C32D4×#6714yescomplemented
596C23—31no—
597C23—32no—
598C23—64no—
599C23—64no—
600C23—122no—
601C23—271no—
602C23—272no—
603C23—544no—
604C23—544no—
605C23—1082no—
606C23C2×D3×C3⋊D312yes—
607D4—64no—
608D4—62no—
609D4—274no—
610D4—544no—
611D4—544no—
612D4—544no—
613D4—544no—
614D4—542no—
615D4—1082no—
616D4#629114yesdirect product factor
617C2×C4—31no—
618C2×C4—62no—
619C2×C4—91no—
620C2×C4—91no—
621C2×C4—92no—
622C2×C4—184no—
623C2×C4—271no—
624C2×C4—542no—
625C2×C4C2×D3×C3⋊D311yescharacteristic
626C2×C3—216no—
627C2×C3—24no—
628C2×C3—24no—
629C2×C3—24no—
630C2×C3—24no—
631C2×C3—416no—
632C2×C3—68no—
633C2×C3—128no—
634C2×C3D32×D414yes—
635C2×C3#6431414yes—
636C2×C3C22×#62614yes—
637C2×C3C2×D4×C3⋊D311yescharacteristic
638C2×C3#6436111yescharacteristic
639C2×C3C22×#63811yescharacteristic
640D3—22no—
641D3—42no—
642D3—1816no—
643D3—188no—
644D3—182no—
645D3—3616no—
646D3—368no—
647D3—362no—
648C22—22no—
649C22—22no—
650C22—32no—
651C22—61no—
652C22—61no—
653C22—62no—
654C22—62no—
655C22—62no—
656C22—128no—
657C22—272no—
658C22—541no—
659C22—541no—
660C22—542no—
661C22—542no—
662C22—542no—
663C22—1088no—
664C22C2×#629114yescomplemented
665C22C22×D3×C3⋊D311yescharacteristic
666C4—61no—
667C4—92no—
668C4—182no—
669C4—181no—
670C4—541no—
671C4C2×#629112yescomplemented
672C3—24no—
673C3D4×#62614yescomplemented
674C3D4×#63811yescharacteristic, complemented
675C2—24no—
676C2—62no—
677C2—122no—
678C2—542no—
679C2—1082no—
680C2D3×D4×C3⋊D311yescharacteristic
681C2#1172458811yescharacteristic
682C2C22×#629111yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
hypercenterC2×D4D3×C3⋊D3
hypocenterC33D42
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×C3⋊(C3⋊D3)C2semidirect
2. C2×C32×D3×D4C2semidirect
3. C22×#6291C2semidirect
4. C3×D4×C3⋊Dic3C2semidirect
5. #11723638C2semidirect
6. #11723635C2semidirect
7. #11723630C2semidirect
8. #11723531C2semidirect
9. #11723524C2semidirect
10. #11723516C2semidirect
11. C4×#6291C2semidirect
14. C23×C3⋊(C3⋊D3)C22semidirect
15. C23×C32×D3C22semidirect
17. C2×#6312C22semidirect
19. C2×C4⋊(C3⋊(C3⋊D3))C22semidirect
20. C2×C4×C3⋊(C3⋊D3)C22semidirect
21. C22×C3×C3⋊Dic3C22semidirect
22. C2×C32×#67C22semidirect
24. C2×C32×D12C22semidirect
25. C2×C32×C4×D3C22semidirect
28. C2×#6291C22semidirect
29. C2×#6291C22semidirect
30. C2×#6291C22semidirect
31. C2×#6291C22semidirect
32. C3×#3757C22semidirect
33. C3×C4⋊(C3⋊Dic3)C22semidirect
34. C3×C4×C3⋊Dic3C22semidirect
35. #88807C22semidirect
36. #88804C22semidirect
37. #88804C22semidirect
38. (C2×D3)⋊(C3⋊Dic3)C22semidirect
39. (C2×D3)⋊(C3⋊Dic3)C22semidirect
45. C2×C3×D3×D4D3semidirect
52. D4×C3⋊Dic3D3semidirect
74. C33×D4D4semidirect
92. #6291D4direct (N × H)
99. C23×C3×D3C2×D3semidirect
116. C22×C3⋊Dic3C2×D3semidirect
126. C2×C3×#67C2×D3semidirect
129. C2×C3×D12C2×D3semidirect
130. C2×C3×C4×D3C2×D3semidirect
139. #3757C2×D3semidirect
142. C4⋊(C3⋊Dic3)C2×D3semidirect
144. C4×C3⋊Dic3C2×D3semidirect
155. C22×C33C2×D4semidirect
163. C2×C3⋊(C3⋊D3)C2×D4semidirect
170. C2×C32×D3C2×D4semidirect
171. C33×C4C2×D4semidirect
175. C3×C3⋊Dic3C2×D4semidirect
182. C2×D3×D4C3⋊D3semidirect
231. C32×D4D12semidirect
232. C32×D4#67semidirect
285. C23×D3C2×C3⋊D3semidirect
303. C2×#67C2×C3⋊D3semidirect
318. C2×D12C2×C3⋊D3semidirect
322. C2×C4×D3C2×C3⋊D3semidirect
354. C22×C32C2×D12semidirect
355. C22×C32C2×#67semidirect
385. C2×C3×D3D3×D4semidirect
388. C32×C4C2×D12semidirect
389. C32×C4C2×#67semidirect
395. C3⋊Dic3D3×D4semidirect
411. C33D42semidirect
443. C3×D4#626semidirect
444. C3×D4#638semidirect
547. C22×C3C2×#626semidirect
548. C22×C3C2×#638semidirect
578. C2×D3D4×C3⋊D3semidirect
584. C3×C4C2×#626semidirect
585. C3×C4C2×#638semidirect
594. C32D4×D12semidirect
595. C32D4×#67semidirect
616. D4#6291direct (N × H)
664. C22C2×#6291semidirect
671. C4C2×#6291semidirect
673. C3D4×#626semidirect
674. C3D4×#638semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C3⋊(C3⋊D3)2
C2×C32×D3×D42
C22×#62912
C3×D4×C3⋊Dic32
#117236382
#117236352
#117236302
#117235312
#117235242
#117235162
C4×#62912
D4×#6383
D4×#6263