Finite Group Databasebeta

← #11860308

Subgroups — #11860308

Order 1152.

1309 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×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
2C2×C3×#932C211yesmaximal, characteristic
3#10594958C211yesmaximal, characteristic, complemented
4C3×#5215C211yesmaximal, characteristic, complemented
5#10591446C212yesmaximal, complemented
6#10591445C212yesmaximal, complemented
7#10591436C212yesmaximal, complemented
8#10591435C212yesmaximal, complemented
9#10591131C211yesmaximal, characteristic, complemented
10#10591088C211yesmaximal, characteristic, complemented
11#10591060C211yesmaximal, characteristic, complemented
12Dic3×AGL(1,ℤ/8)—31nomaximal
13#78914—31nomaximal
14C22×C32×D4C2211yescharacteristic
15C23×C3⋊Dic3—21no—
16C2×C3×#235C2211yescharacteristic
17C2×#3757—21no—
18D4×C3⋊Dic3—21no—
19D4×C3⋊Dic3—21no—
20D4×C3⋊Dic3C2212yes—
21D4×C3⋊Dic3C2212yes—
22C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
23C2×C4×C3⋊Dic3C2211yescharacteristic
24C2×C3×#214C2212yes—
25C3×#932C418yescomplemented
26C2×C3×#213C2212yes—
27C3×#926C2211yescharacteristic
28C2×C3×#208C2211yescharacteristic
29C2×C3×#208C2211yescharacteristic
30#67⋊Dic3—21no—
31#67⋊Dic3—21no—
32#63898C2211yescharacteristic, complemented
33#63898C2211yescharacteristic, complemented
34C4×D3×Dic3—21no—
35#63855—21no—
36#63843C2211yescharacteristic, complemented
37#63843C2211yescharacteristic, complemented
38C3×#832C2212yes—
39C3×#832C2212yes—
40#63575C2212yescomplemented
41#63573C2212yescomplemented
42#63566C2212yescomplemented
43#63563C2212yescomplemented
44#63555C2212yescomplemented
45#63553C2212yescomplemented
46C2×C3×AGL(1,ℤ/8)—31no—
47Dic3×#41—31no—
48C2×D4×Dic3—31no—
49C2×D4×Dic3—31no—
50C2×D4×Dic3—61no—
51C2×#932D311yescharacteristic
52#5522—31no—
53C3×#418—31no—
54#5232—31no—
55#5215D311yescharacteristic, complemented
56#5164—32no—
57Dic3×SD16—32no—
58#5152—32no—
59Dic3×D8—32no—
60#5133—31no—
61#5121—31no—
62Dic3×M16—31no—
63Dic3×M16—31no—
64#4995—31no—
65#4785—32no—
66#4758—32no—
67#4757—32no—
68#4756—32no—
69C24×C32—21no—
70C2×C32×D4—21no—
71C2×C32×D4—22no—
72C2×C32×D4C2×C414yescomplemented
73C2×C32×D4C2312yes—
74C22×C32×C4C2311yescharacteristic
75C22×C3⋊Dic3—21no—
76C22×C3⋊Dic3—22no—
77C22×C3⋊Dic3—22no—
78C22×C3⋊Dic3—44no—
79C22×C3⋊Dic3D411yescharacteristic
80C22×C3⋊Dic3D411yescharacteristic
81C2×C3×#67—21no—
82C3×#235—22no—
83C3×#235C2×C414yescomplemented
84C2×C3×D12C2311yescharacteristic
85C2×C3×C4×D3—21no—
86C2×C3×Dic6C2311yescharacteristic
87C2×D3×Dic3—21no—
88C2×D3×Dic3—21no—
89#3757—22no—
90#3757—22no—
91C4⋊(C3⋊Dic3)—21no—
92C4⋊(C3⋊Dic3)C2312yes—
93C4×C3⋊Dic3D411yescharacteristic
94C4×C3⋊Dic3D411yescharacteristic
95C4×C3⋊Dic3C2311yescharacteristic
96C4×C3⋊Dic3C2311yescharacteristic
97C3×#217—21no—
98C3×#214C2×C418yescomplemented
99C3×#213C2×C418yescomplemented
100C3×C4⋊Dic3C2311yescharacteristic
101C3×C4⋊Dic3C2311yescharacteristic
102C3×C4×Dic3—21no—
103C3×#208—22no—
104C3×#208C2×C414yescomplemented
105C2×C3×C3⋊C8C2312yes—
106C2×C3×C3⋊C8C2312yes—
107Dic3⋊Dic3—21no—
108Dic3⋊Dic3—21no—
109(C2×D3)⋊Dic3—21no—
110(C2×D3)⋊Dic3—21no—
111Dic32—21no—
112Dic32—21no—
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—31no—
115C22×C3×D4—21no—
116C22×C3×D4C2×D311yescharacteristic
117C22×C3×D4C2×D311yescharacteristic
118C23×Dic3—61no—
119C23×Dic3—61no—
120C23×Dic3—62no—
121C2×#235C2×D311yescharacteristic
122C3×AGL(1,ℤ/8)—38no—
123C2×C3×SD16—32no—
124C2×C3×D8—32no—
125C2×C3×M16—31no—
126C2×C3×M16—31no—
127C3×#117—31no—
128C2×#217—61no—
129C2×#217—61no—
130C2×#217—62no—
131Q8×Dic3—31no—
132Q8×Dic3—31no—
133D4×Dic3—32no—
134D4×Dic3—32no—
135D4×Dic3—32no—
136D4×Dic3—32no—
137D4×Dic3—31no—
138D4×Dic3—31no—
139D4×Dic3—62no—
140D4×Dic3—62no—
141D4×Dic3—61no—
142D4×Dic3—61no—
143D4×Dic3—61no—
144D4×Dic3—61no—
145D4×Dic3—61no—
146D4×Dic3—61no—
147D4×Dic3—62no—
148D4×Dic3—62no—
149C2×#214C2×D312yes—
150#932Dic318yescomplemented
151C2×#213C2×D312yes—
152#926—61no—
153#926C2×D311yescharacteristic
154C2×C4⋊Dic3—31no—
155C2×C4⋊Dic3—31no—
156C2×C4⋊Dic3—61no—
157C2×C4×Dic3—31no—
158C2×C4×Dic3—31no—
159C2×C4×Dic3—61no—
160C2×C4×Dic3—61no—
161C2×#208C2×D311yescharacteristic
162C2×#208C2×D311yescharacteristic
163#893—31no—
164#893—31no—
165#887—31no—
166#887—31no—
167#67⋊C4—61no—
168#67⋊C4—61no—
169#872—61no—
170C42×D3—61no—
171C3×#102—32no—
172C3×#102—32no—
173#835—32no—
174#832—32no—
175#832C2×D312yes—
176#832C2×D312yes—
177#821—32no—
178#818—32no—
179#817—32no—
180#816—32no—
181#815—32no—
182#815—32no—
183C8×Dic3—32no—
184C8×Dic3—32no—
185#808—32no—
186#807—32no—
187C23×C32—24no—
188C23×C32—22no—
189C23×C32—42no—
190C23×C32—42no—
191C23×C32C2×D411yescharacteristic
192C22×C3×D3—21no—
193C32×D4—24no—
194C32×D4—22no—
195C32×D4C22×C414yes—
196C2×C32×C4C22×C412yes—
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4#4112yes—
199C2×C32×C4C2411yescharacteristic
200C2×C3⋊Dic3—22no—
201C2×C3⋊Dic3—22no—
202C2×C3⋊Dic3—41no—
203C2×C3⋊Dic3—44no—
204C2×C3⋊Dic3—42no—
205C2×C3⋊Dic3—44no—
206C2×C3⋊Dic3C2×D411yescharacteristic
207C2×C3⋊Dic3C2×D411yescharacteristic
208C2×C3⋊Dic3C2×D411yescharacteristic
209C2×C3⋊Dic3C2×D411yescharacteristic
210C3×#67—24no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3—21no—
214C3×D12—21no—
215C3×D12C22×C412yescomplemented
216C3×C4×D3—24no—
217C3×Dic6—21no—
218C3×Dic6C22×C412yescomplemented
219D3×Dic3—42no—
220D3×Dic3—42no—
221C3×C3⋊C8—22no—
222C3×C3⋊C8C22×C414yescomplemented
223C2×AGL(1,ℤ/8)—31no—
224C4×#41—91no—
225C2×C4×D4—91no—
226#442—92no—
227#440—92no—
228C4×SD16—92no—
229C4×D8—92no—
230#428—91no—
231#418—31no—
232#417—91no—
233C4×M16—91no—
234C24×C3—22no—
235C24×C3—21no—
236C24×C3—21no—
237C3×#41—34no—
238C3×#41—62no—
239C2×C3×Q8—31no—
240C2×C3×D4—22no—
241C2×C3×D4—24no—
242C2×C3×D4—21no—
243C2×C3×D4—21no—
244C2×C3×D4—22no—
245C2×C3×D4—22no—
246C2×C3×D4—24no—
247C2×C3×D4—22no—
248C2×C3×D4—31no—
249C2×C3×D4—61no—
250C2×C3×D4C4×D314yescomplemented
251C2×C3×D4C2×Dic314yescomplemented
252C2×C3×D4C22×D312yes—
253C2×C3×D4C22×D312yes—
254C22×C3×C4—21no—
255C22×C3×C4—61no—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C2×#67—21no—
259C22×Dic3—31no—
260C22×Dic3—31no—
261C22×Dic3—31no—
262C22×Dic3—31no—
263C22×Dic3—61no—
264C22×Dic3—61no—
265C22×Dic3—61no—
266C22×Dic3—61no—
267C22×Dic3—62no—
268C22×Dic3—62no—
269C22×Dic3—62no—
270C22×Dic3—62no—
271C22×Dic3—62no—
272C22×Dic3—64no—
273C22×Dic3—64no—
274C22×Dic3—61no—
275C22×Dic3—61no—
276C22×Dic3—124no—
277C22×Dic3—124no—
278C22×Dic3—128no—
279#235—22no—
280#235C2×Dic314yescomplemented
281C2×D12C22×D311yescharacteristic
282C2×C4×D3—21no—
283C2×C4×D3—61no—
284C2×C4×D3—61no—
285C2×Dic6C22×D311yescharacteristic
286C3×SD16—38no—
287C3×D8—38no—
288C3×M16—34no—
289C3×M16—62no—
290C2×C3×C8—32no—
291C2×C3×C8—32no—
292C3×C4⋊C4—31no—
293C3×C4⋊C4—31no—
294C3×C22⋊C4—61no—
295C3×C42—61no—
296#217—21no—
297#217—61no—
298#217—61no—
299#217—62no—
300#217—62no—
301#217—62no—
302#217—62no—
303#217—64no—
304#217—64no—
305#214C2×Dic318yescomplemented
306#213C2×Dic318yescomplemented
307(C2×D3)⋊C4—61no—
308(C2×D3)⋊C4—61no—
309C4⋊Dic3—32no—
310C4⋊Dic3—32no—
311C4⋊Dic3—62no—
312C4⋊Dic3—61no—
313C4⋊Dic3—61no—
314C4⋊Dic3—62no—
315C4⋊Dic3—61no—
316C4⋊Dic3—61no—
317C4⋊Dic3C22×D311yescharacteristic
318C4⋊Dic3C22×D311yescharacteristic
319Dic3⋊C4—61no—
320Dic3⋊C4—61no—
321C4×Dic3—21no—
322C4×Dic3—31no—
323C4×Dic3—31no—
324C4×Dic3—31no—
325C4×Dic3—31no—
326C4×Dic3—31no—
327C4×Dic3—31no—
328C4×Dic3—31no—
329C4×Dic3—31no—
330C4×Dic3—61no—
331C4×Dic3—61no—
332C4×Dic3—61no—
333C4×Dic3—61no—
334C4×Dic3—61no—
335C4×Dic3—61no—
336C4×Dic3—61no—
337C4×Dic3—61no—
338#208—22no—
339#208C2×Dic314yescomplemented
340C2×C3⋊C8C22×D312yes—
341C2×C3⋊C8C22×D312yes—
342C22×C32—21no—
343C22×C32—21no—
344C22×C32—24no—
345C22×C32—48no—
346C22×C32—42no—
347C22×C32—42no—
348C22×C32C4×D412yes—
349C22×C32C22×D411yescharacteristic
350C2×C3×D3—22no—
351C2×C3×D3—41no—
352C2×C3×D3—41no—
353C32×C4C4×D412yes—
354C32×C4C23×C411yescharacteristic
355C32×C4C2×#4111yescharacteristic
356C3⋊Dic3—21no—
357C3⋊Dic3—21no—
358C3⋊Dic3—21no—
359C3⋊Dic3—42no—
360C3⋊Dic3AGL(1,ℤ/8)12yescomplemented
361C3×Dic3—22no—
362C3×Dic3—41no—
363C3×Dic3—41no—
364C2×#41—31no—
365C22×D4D3211yescharacteristic
366C23×C4—181no—
367AGL(1,ℤ/8)—38no—
368C2×SD16—32no—
369C2×D8—32no—
370C2×M16—31no—
371C2×M16—31no—
372C4×Q8—91no—
373C4×Q8—91no—
374C4×D4—91no—
375C4×D4—91no—
376C4×D4—92no—
377C4×D4—92no—
378C4×D4—181no—
379C4×D4—181no—
380C4×D4—181no—
381C4×D4—181no—
382#117—31no—
383#117—181no—
384C2×C4⋊C4—91no—
385C2×C22⋊C4—181no—
386C2×C42—91no—
387C2×C42—181no—
388#107—92no—
389#106—92no—
390#103—92no—
391#102—32no—
392#102—32no—
393#102—92no—
394#97—92no—
395C4×C8—92no—
396C23×C3—24no—
397C23×C3—28no—
398C23×C3—24no—
399C23×C3—24no—
400C23×C3—22no—
401C23×C3—22no—
402C23×C3—21no—
403C23×C3—44no—
404C23×C3—42no—
405C23×C3—42no—
406C23×C3—44no—
407C23×C3—42no—
408C23×C3—42no—
409C23×C3—61no—
410C23×C3D3×D411yescharacteristic
411C23×C3D3×D411yescharacteristic
412C22×D3—21no—
413C3×Q8—32no—
414C3×Q8—61no—
415C3×D4—24no—
416C3×D4—28no—
417C3×D4—24no—
418C3×D4—24no—
419C3×D4—22no—
420C3×D4—22no—
421C3×D4—24no—
422C3×D4—32no—
423C3×D4—64no—
424C3×D4—61no—
425C3×D4C2×C4×D314yes—
426C3×D4C22×Dic314yes—
427C2×C3×C4—21no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—21no—
431C2×C3×C4—61no—
432C2×C3×C4—64no—
433C2×C3×C4—61no—
434C2×C3×C4—61no—
435C2×C3×C4C2×C4×D312yes—
436C2×C3×C4D3×D411yescharacteristic
437C2×C3×C4D3×D411yescharacteristic
438C2×C3×C4#23712yes—
439C2×C3×C4#23712yes—
440C2×C3×C4C22×Dic312yes—
441C2×C3×C4C23×D311yescharacteristic
442C2×C3×C4C23×D311yescharacteristic
443#67—24no—
444C2×Dic3—21no—
445C2×Dic3—21no—
446C2×Dic3—21no—
447C2×Dic3—31no—
448C2×Dic3—31no—
449C2×Dic3—31no—
450C2×Dic3—31no—
451C2×Dic3—31no—
452C2×Dic3—31no—
453C2×Dic3—31no—
454C2×Dic3—31no—
455C2×Dic3—61no—
456C2×Dic3—61no—
457C2×Dic3—61no—
458C2×Dic3—61no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—64no—
462C2×Dic3—64no—
463C2×Dic3—62no—
464C2×Dic3—62no—
465C2×Dic3—122no—
466C2×Dic3—124no—
467C2×Dic3—124no—
468C2×Dic3—122no—
469C2×Dic3—121no—
470C2×Dic3—121no—
471C2×Dic3—128no—
472C2×Dic3—128no—
473C2×Dic3—124no—
474C2×Dic3—124no—
475C2×Dic3—122no—
476C2×Dic3—124no—
477C2×Dic3—122no—
478C2×Dic3—122no—
479D12—21no—
480D12C22×Dic312yescomplemented
481C4×D3—24no—
482C4×D3—122no—
483C4×D3—122no—
484Dic6—21no—
485Dic6C22×Dic312yescomplemented
486C3×C8—34no—
487C3×C8—62no—
488C3⋊C8—22no—
489C3⋊C8C22×Dic314yescomplemented
490C2×C32—22no—
491C2×C32—44no—
492C2×C32C2×C4×D411yescharacteristic
493C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
494C2×C32#57511yescharacteristic
495C3×D3—42no—
496C24—21no—
497#41—34no—
498#41—62no—
499C2×Q8—31no—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4—31no—
503C2×D4—61no—
504C2×D4D3×Dic314yescomplemented
505C2×D4C2×D3212yes—
506C22×C4—61no—
507C22×C4—91no—
508C22×C4—91no—
509C22×C4—181no—
510C22×C4—181no—
511C22×C4—182no—
512C22×C4—182no—
513C22×C4—181no—
514C22×C4—364no—
515C22×C4C2×D3211yescharacteristic
516SD16—38no—
517D8—38no—
518M16—34no—
519M16—62no—
520C2×C8—32no—
521C2×C8—32no—
522C4⋊C4—31no—
523C4⋊C4—31no—
524C4⋊C4—92no—
525C4⋊C4—181no—
526C4⋊C4—181no—
527C4⋊C4—181no—
528C22⋊C4—61no—
529C22⋊C4—181no—
530C22⋊C4—181no—
531C22⋊C4—182no—
532C22⋊C4—182no—
533C42—61no—
534C42—91no—
535C42—91no—
536C42—91no—
537C42—91no—
538C42—181no—
539C42—181no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—28no—
547C22×C3—24no—
548C22×C3—24no—
549C22×C3—21no—
550C22×C3—22no—
551C22×C3—44no—
552C22×C3—416no—
553C22×C3—48no—
554C22×C3—48no—
555C22×C3—44no—
556C22×C3—42no—
557C22×C3—42no—
558C22×C3—42no—
559C22×C3—42no—
560C22×C3—62no—
561C22×C3—121no—
562C22×C3—121no—
563C22×C3#67⋊C412yes—
564C22×C3D4×Dic312yes—
565C22×C3C2×D3×D411yescharacteristic
566C22×C3C2×D3×D411yescharacteristic
567C2×D3—22no—
568C2×D3—41no—
569C2×D3—41no—
570C3×C4—21no—
571C3×C4—21no—
572C3×C4—22no—
573C3×C4—62no—
574C3×C4—121no—
575C3×C4—121no—
576C3×C4#67⋊C412yes—
577C3×C4D4×Dic312yes—
578C3×C4C22×C4×D311yescharacteristic
579C3×C4C2×#23711yescharacteristic
580C3×C4C2×#23711yescharacteristic
581C3×C4C23×Dic311yescharacteristic
582Dic3—22no—
583Dic3—32no—
584Dic3—32no—
585Dic3—41no—
586Dic3—41no—
587Dic3—62no—
588Dic3—62no—
589Dic3—61no—
590Dic3—61no—
591Dic3—61no—
592Dic3—61no—
593Dic3—61no—
594Dic3—61no—
595Dic3—121no—
596Dic3—121no—
597Dic3—124no—
598Dic3—122no—
599Dic3—122no—
600C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
601C23—22no—
602C23—24no—
603C23—42no—
604C23—42no—
605C23—61no—
606C23#381111yescharacteristic
607Q8—32no—
608Q8—61no—
609D4—22no—
610D4—24no—
611D4—32no—
612D4—64no—
613D4—61no—
614D4C2×D3×Dic314yes—
615C2×C4—61no—
616C2×C4—64no—
617C2×C4—61no—
618C2×C4—61no—
619C2×C4—91no—
620C2×C4—91no—
621C2×C4—91no—
622C2×C4—91no—
623C2×C4—182no—
624C2×C4—182no—
625C2×C4—362no—
626C2×C4—364no—
627C2×C4—362no—
628C2×C4—361no—
629C2×C4—364no—
630C2×C4—362no—
631C2×C4C2×D3×Dic312yes—
632C2×C4#380512yes—
633C2×C4#381111yescharacteristic
634C2×C4C22×D3211yescharacteristic
635C8—34no—
636C8—62no—
637C2×C3—24no—
638C2×C3—22no—
639C2×C3—22no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—48no—
644C2×C3—44no—
645C2×C3—44no—
646C2×C3—122no—
647C2×C3C2×#67⋊C411yescharacteristic
648C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
649C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
650C2×C3#577311yescharacteristic
651C2×C3#577311yescharacteristic
652C2×C3C2×D4×Dic311yescharacteristic
653D3—42no—
654C22—21no—
655C22—21no—
656C22—24no—
657C22—48no—
658C22—42no—
659C22—42no—
660C22—62no—
661C22—121no—
662C22—121no—
663C22#67⋊Dic312yes—
664C22C2×#381111yescharacteristic
665C4—62no—
666C4—92no—
667C4—121no—
668C4—121no—
669C4—181no—
670C4—181no—
671C4—181no—
672C4—362no—
673C4#67⋊Dic312yes—
674C4C22×D3×Dic311yescharacteristic
675C4C2×#380511yescharacteristic
676C3—21no—
677C3#7891411yescharacteristic, complemented
678C3Dic3×AGL(1,ℤ/8)11yescharacteristic, complemented
679C2—22no—
680C2—44no—
681C2—122no—
682C2#1059510011yescharacteristic
683C2#1059510111yescharacteristic
684C2C2×#67⋊Dic311yescharacteristic
subgroupG/H
centerC22C2×#3811
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
prime radicalC2×C3×#932C2
cosocleC2×C32×C4C24
hypercenterC22×D4D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×C3⋊Dic3C2semidirect
3. #10594958C2semidirect
4. C3×#5215C2semidirect
5. #10591446C2semidirect
6. #10591445C2semidirect
7. #10591436C2semidirect
8. #10591435C2semidirect
9. #10591131C2semidirect
10. #10591088C2semidirect
11. #10591060C2semidirect
25. C3×#932C4semidirect
32. #63898C22semidirect
33. #63898C22semidirect
36. #63843C22semidirect
37. #63843C22semidirect
40. #63575C22semidirect
41. #63573C22semidirect
42. #63566C22semidirect
43. #63563C22semidirect
44. #63555C22semidirect
45. #63553C22semidirect
55. #5215D3semidirect
72. C2×C32×D4C2×C4semidirect
83. C3×#235C2×C4semidirect
98. C3×#214C2×C4semidirect
99. C3×#213C2×C4semidirect
104. C3×#208C2×C4semidirect
150. #932Dic3semidirect
215. C3×D12C22×C4semidirect
218. C3×Dic6C22×C4semidirect
222. C3×C3⋊C8C22×C4semidirect
250. C2×C3×D4C4×D3semidirect
251. C2×C3×D4C2×Dic3semidirect
280. #235C2×Dic3semidirect
305. #214C2×Dic3semidirect
306. #213C2×Dic3semidirect
339. #208C2×Dic3semidirect
360. C3⋊Dic3AGL(1,ℤ/8)semidirect
480. D12C22×Dic3semidirect
485. Dic6C22×Dic3semidirect
489. C3⋊C8C22×Dic3semidirect
504. C2×D4D3×Dic3semidirect
600. C32C4×AGL(1,ℤ/8)semidirect
677. C3#78914semidirect
678. C3Dic3×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×D4×C3⋊Dic32
C2×C3×#9322
#105949582
C3×#52152
#105914462
#105914452
#105914362
#105914352
#105911312
#105910882
#105910602
Dic3×AGL(1,ℤ/8)3
#789143