Finite Group Databasebeta

← D4×#3714 #11885754

Subgroups — D4×#3714 #11885754

Order 1152.

1454 conjugacy classes of subgroups.

The subgroup lattice has 711 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C3×D4×D12C211yesmaximal, characteristic, complemented
3C22×#3714C212yesmaximal, complemented
4C3×D4×C3⋊C8C211yesmaximal, characteristic, complemented
5#10591168C212yesmaximal, complemented
6#10591164C212yesmaximal, complemented
7#10591162C212yesmaximal, complemented
8#10590355C211yesmaximal, characteristic, complemented
9#10590350C211yesmaximal, characteristic, complemented
10#10590349C211yesmaximal, characteristic, complemented
11C4×#3714C211yesmaximal, characteristic, complemented
12D4×#213—31nomaximal
13D4×D24—31nomaximal
14C2×D4×C3⋊D3—21no—
15C22×C4⋊(C3⋊D3)C2212yescomplemented
16C2×C3×D3×D4—21no—
17C22×C3×D12C2212yescomplemented
18C32×C4×D4C2211yescharacteristic
19#64139C2212yescomplemented
20#64104—21no—
21#64091—22no—
22#64083C2211yescharacteristic, complemented
23C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
24C3×#930C2212yescomplemented
25C22×C3×C3⋊C8C2212yescomplemented
26C3×#895—21no—
27C3×#882—22no—
28C3×#874C2211yescharacteristic, complemented
29C3×C4×D12C2211yescharacteristic, complemented
30C2×#3714—28no—
31C2×#3714C2211yescharacteristic
32C2×#3714C2212yescomplemented
33C2×#3714C2212yescomplemented
34C2×#3714C2212yescomplemented
35C2×#3714C2212yescomplemented
36C3×#830C2212yescomplemented
37C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
38C3×C4×C3⋊C8C2211yescharacteristic, complemented
39#63575C2211yescharacteristic, complemented
40#63564C2211yescharacteristic, complemented
41#63564C2212yescomplemented
42#63563C2211yescharacteristic, complemented
43#63563C2212yescomplemented
44C3×D42—31no—
45C22×#213—32no—
46C22×D24—32no—
47D4×D12—31no—
48D4×D12—31no—
49D4×D12—61no—
50D4×D12D311yescharacteristic, complemented
51C3×C8×D4—31no—
52#5217—32no—
53#5115—32no—
54#5073—31no—
55#5072—31no—
56#5038—32no—
57#5036—32no—
58#5015—31no—
59C4×#213—31no—
60D4×C3⋊C8D311yescharacteristic, complemented
61#4843—31no—
62#4843—31no—
63#4732—32no—
64#4732—32no—
65#4695—31no—
66C4×D24—31no—
67C23×C3⋊D3—22no—
68C23×C3×D3—22no—
69C2×C32×D4D411yescharacteristic
70C22×C32×C4C2312yes—
71C2×#638—22no—
72D4×C3⋊D3—44no—
73C2×C4⋊(C3⋊D3)—24no—
74C2×C4⋊(C3⋊D3)—21no—
75C2×C4⋊(C3⋊D3)—22no—
76C2×C4⋊(C3⋊D3)—21no—
77C2×C4⋊(C3⋊D3)—42no—
78C2×C4⋊(C3⋊D3)C2312yes—
79C2×C4⋊(C3⋊D3)C2311yescharacteristic
80C2×C4×C3⋊D3—21no—
81C2×C3×#67—22no—
82C3×D3×D4—44no—
83C2×C3×D12—24no—
84C2×C3×D12—22no—
85C2×C3×D12—21no—
86C2×C3×D12—21no—
87C2×C3×D12—42no—
88C2×C3×D12C2312yes—
89C2×C3×D12C2311yescharacteristic
90C2×C3×C4×D3—21no—
91C32×C4⋊C4D411yescharacteristic
92C32×C22⋊C4D412yes—
93C32×C42C2311yescharacteristic
94#3752—21no—
95#3752—22no—
96C4⋊(C3⋊Dic3)C2311yescharacteristic
97C3×(C2×D3)⋊C4—21no—
98C3×(C2×D3)⋊C4—22no—
99C3×C4⋊Dic3C2311yescharacteristic
100C2×C3×C3⋊C8—24no—
101C2×C3×C3⋊C8C2312yes—
102C2×C3×C3⋊C8C2311yescharacteristic
103C2×C3×C3⋊C8C2311yescharacteristic
104#3714—24no—
105#3714—24no—
106#3714—24no—
107#3714—42no—
108#3714D414yesdirect product factor
109D4×D8—91noSylow
110C22×C3×D4—32no—
111C22×C3×D4—61no—
112C2×D3×D4—21no—
113C2×D3×D4—62no—
114C2×D3×D4—61no—
115C2×D3×D4—61no—
116C22×D12—32no—
117C22×D12—32no—
118C22×D12—62no—
119C22×D12C2×D312yescomplemented
120C22×C3×C8—32no—
121C3×#127—31no—
122C3×#121—32no—
123C3×#121—61no—
124C3×#120—62no—
125C3×C4×D4—21no—
126C3×C4×D4—31no—
127C3×C4×D4C2×D311yescharacteristic
128C3×C4×D4C2×D311yescharacteristic
129C2×#213—31no—
130C2×#213—32no—
131C2×#213—32no—
132C2×#213—32no—
133C2×#213—32no—
134C2×#213—68no—
135#930—32no—
136#930—32no—
137#930—62no—
138#930C2×D312yescomplemented
139C22×C3⋊C8C2×D312yescomplemented
140C2×D24—31no—
141C2×D24—32no—
142C2×D24—32no—
143C2×D24—32no—
144C2×D24—32no—
145C2×D24—68no—
146#895—21no—
147#895—62no—
148#895—61no—
149#895—61no—
150#882—22no—
151#882—64no—
152#882—62no—
153#882—62no—
154#874—31no—
155#874—31no—
156#874—61no—
157#874C2×D311yescharacteristic, complemented
158C4×D12—31no—
159C4×D12—31no—
160C4×D12—61no—
161C4×D12C2×D311yescharacteristic, complemented
162C3×C4⋊C8—31no—
163C3×C22⋊C8—32no—
164C3×C4×C8—31no—
165#832—31no—
166#832—32no—
167#830C2×D312yescomplemented
168#821—31no—
169#821—32no—
170#821—31no—
171#821—32no—
172#818—31no—
173#809—31no—
174#809—32no—
175#807—31no—
176C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
177C4×C3⋊C8C2×D311yescharacteristic, complemented
178C23×C32C2×D412yes—
179C22×C3⋊D3—21no—
180C22×C3⋊D3—22no—
181C22×C3⋊D3—44no—
182C22×C3⋊D3—44no—
183C22×C3⋊D3—82no—
184C22×C3×D3—21no—
185C22×C3×D3—22no—
186C22×C3×D3—44no—
187C22×C3×D3—44no—
188C22×C3×D3—82no—
189C32×D4D814yescomplemented
190C2×C32×C4—22no—
191C2×C32×C4—22no—
192C2×C32×C4C2×D411yescharacteristic
193C2×C32×C4C2×D412yes—
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2411yescharacteristic
196#638—44no—
197C2×C3⋊Dic3—21no—
198C4⋊(C3⋊D3)—21no—
199C4⋊(C3⋊D3)—22no—
200C4⋊(C3⋊D3)—22no—
201C4⋊(C3⋊D3)—44no—
202C4⋊(C3⋊D3)—42no—
203C4⋊(C3⋊D3)—81no—
204C4⋊(C3⋊D3)C2×D412yescomplemented
205C4×C3⋊D3—42no—
206C3×#67—44no—
207C2×C3×Dic3—21no—
208C3×D12—22no—
209C3×D12—21no—
210C3×D12—22no—
211C3×D12—44no—
212C3×D12—42no—
213C3×D12—81no—
214C3×D12C2×D412yescomplemented
215C3×C4×D3—42no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8—21no—
218C3×C3⋊C8C2×D412yescomplemented
219C22×D8—92no—
220D42—31no—
221D42—91no—
222#493—91no—
223#466—92no—
224#459—91no—
225#459—91no—
226#447—92no—
227#447—92no—
228C4×D8—91no—
229C8×D4—31no—
230C24×C3—62no—
231C23×D3—22no—
232C23×D3—64no—
233C23×D3—62no—
234C23×D3—62no—
235C2×C3×D4—21no—
236C2×C3×D4—31no—
237C2×C3×D4—32no—
238C2×C3×D4—64no—
239C2×C3×D4—62no—
240C2×C3×D4—62no—
241C2×C3×D4—61no—
242C2×C3×D4—61no—
243C2×C3×D4—122no—
244C2×C3×D4—124no—
245C2×C3×D4D1211yescharacteristic
246C2×C3×D4#6711yescharacteristic
247C22×C3×C4—22no—
248C22×C3×C4—61no—
249C22×C3×C4C22×D312yes—
250C22×C3×C4C22×D312yes—
251C2×#67—22no—
252C2×#67—64no—
253C2×#67—62no—
254C2×#67—62no—
255D3×D4—44no—
256D3×D4—128no—
257D3×D4—124no—
258D3×D4—124no—
259C2×D12—24no—
260C2×D12—21no—
261C2×D12—22no—
262C2×D12—21no—
263C2×D12—31no—
264C2×D12—31no—
265C2×D12—32no—
266C2×D12—32no—
267C2×D12—42no—
268C2×D12—61no—
269C2×D12—62no—
270C2×D12—64no—
271C2×D12—64no—
272C2×D12—62no—
273C2×D12—64no—
274C2×D12—61no—
275C2×D12—62no—
276C2×D12—61no—
277C2×D12—62no—
278C2×D12—62no—
279C2×D12—61no—
280C2×D12—61no—
281C2×D12—124no—
282C2×D12—122no—
283C2×D12—122no—
284C2×D12—124no—
285C2×D12C22×D312yes—
286C2×D12C22×D311yescharacteristic
287C2×C4×D3—21no—
288C2×C4×D3—62no—
289C2×C4×D3—61no—
290C2×C4×D3—61no—
291C2×C3×C8—31no—
292C2×C3×C8—31no—
293C2×C3×C8—32no—
294C2×C3×C8—64no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—31no—
297C3×C4⋊C4D1211yescharacteristic
298C3×C4⋊C4#6711yescharacteristic
299C3×C22⋊C4—22no—
300C3×C22⋊C4—61no—
301C3×C22⋊C4—62no—
302C3×C22⋊C4D1212yes—
303C3×C22⋊C4#6712yes—
304C3×C42—21no—
305C3×C42C22×D311yescharacteristic
306C3×C42C22×D311yescharacteristic
307#213—34no—
308#213—64no—
309#213—64no—
310#213—64no—
311#213—122no—
312(C2×D3)⋊C4—21no—
313(C2×D3)⋊C4—22no—
314(C2×D3)⋊C4—62no—
315(C2×D3)⋊C4—64no—
316(C2×D3)⋊C4—61no—
317(C2×D3)⋊C4—62no—
318(C2×D3)⋊C4—61no—
319(C2×D3)⋊C4—62no—
320C4⋊Dic3—31no—
321C4⋊Dic3—31no—
322C4⋊Dic3—61no—
323C4⋊Dic3C22×D311yescharacteristic
324C2×C3⋊C8—24no—
325C2×C3⋊C8C22×D311yescharacteristic
326C2×C3⋊C8C22×D312yes—
327C2×C3⋊C8C22×D311yescharacteristic
328D24—34no—
329D24—64no—
330D24—64no—
331D24—64no—
332D24—122no—
333C22×C32—22no—
334C22×C32—22no—
335C22×C32C2×D814yescomplemented
336C22×C32C22×D411yescharacteristic
337C2×C3⋊D3—22no—
338C2×C3⋊D3—41no—
339C2×C3⋊D3—41no—
340C2×C3⋊D3—42no—
341C2×C3⋊D3—42no—
342C2×C3⋊D3—42no—
343C2×C3⋊D3—88no—
344C2×C3×D3—22no—
345C2×C3×D3—41no—
346C2×C3×D3—41no—
347C2×C3×D3—42no—
348C2×C3×D3—42no—
349C2×C3×D3—42no—
350C2×C3×D3—88no—
351C32×C4—22no—
352C32×C4—21no—
353C32×C4C2×D812yescomplemented
354C32×C4C22×D411yescharacteristic
355C32×C4H(5,𝔽2)11yescharacteristic
356C3⋊Dic3—41no—
357C3×Dic3—41no—
358C22×D4—32no—
359C22×D4—61no—
360C22×D4—92no—
361C22×D4—181no—
362C2×D8—91no—
363C2×D8—92no—
364C2×D8—92no—
365C2×D8—92no—
366C2×D8—92no—
367C2×D8—188no—
368C22×C8—32no—
369#127—31no—
370#127—91no—
371#121—32no—
372#121—61no—
373#121—92no—
374#121—181no—
375#120—62no—
376#120—182no—
377C4×D4—31no—
378C4×D4—91no—
379C4×D4D3211yescharacteristic
380#107—91no—
381C4⋊C8—31no—
382#102—91no—
383#102—92no—
384#102—91no—
385#102—92no—
386C22⋊C8—32no—
387C4×C8—31no—
388C23×C3—22no—
389C23×C3—61no—
390C23×C3—62no—
391C23×C3—124no—
392C23×C3—124no—
393C23×C3—242no—
394C23×C3C2×D1212yes—
395C23×C3C2×#6712yes—
396C22×D3—21no—
397C22×D3—22no—
398C22×D3—44no—
399C22×D3—44no—
400C22×D3—62no—
401C22×D3—61no—
402C22×D3—61no—
403C22×D3—64no—
404C22×D3—62no—
405C22×D3—62no—
406C22×D3—82no—
407C22×D3—124no—
408C22×D3—124no—
409C22×D3—128no—
410C22×D3—128no—
411C22×D3—124no—
412C22×D3—124no—
413C22×D3—242no—
414C22×D3—242no—
415C22×D3—244no—
416C3×D4—24no—
417C3×D4—32no—
418C3×D4—62no—
419C3×D4—61no—
420C3×D4—62no—
421C3×D4—124no—
422C3×D4—124no—
423C3×D4—122no—
424C3×D4—241no—
425C3×D4D2414yescomplemented
426C3×D4#21314yescomplemented
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—22no—
435C2×C3×C4—42no—
436C2×C3×C4—42no—
437C2×C3×C4—61no—
438C2×C3×C4—122no—
439C2×C3×C4C2×D1211yescharacteristic
440C2×C3×C4C2×D1212yes—
441C2×C3×C4C2×D1211yescharacteristic
442C2×C3×C4C2×#6711yescharacteristic
443C2×C3×C4C2×#6712yes—
444C2×C3×C4C2×#6711yescharacteristic
445C2×C3×C4C23×D311yescharacteristic
446C2×C3×C4C23×D311yescharacteristic
447#67—44no—
448#67—128no—
449#67—124no—
450#67—124no—
451C2×Dic3—21no—
452C2×Dic3—62no—
453C2×Dic3—61no—
454C2×Dic3—61no—
455D12—22no—
456D12—21no—
457D12—22no—
458D12—32no—
459D12—32no—
460D12—44no—
461D12—42no—
462D12—62no—
463D12—62no—
464D12—62no—
465D12—62no—
466D12—61no—
467D12—62no—
468D12—61no—
469D12—62no—
470D12—81no—
471D12—122no—
472D12—122no—
473D12—124no—
474D12—124no—
475D12—124no—
476D12—128no—
477D12—122no—
478D12—122no—
479D12—241no—
480D12—241no—
481D12—242no—
482D12D3×D412yescomplemented
483C4×D3—42no—
484C4×D3—124no—
485C4×D3—122no—
486C4×D3—122no—
487C3×C8—32no—
488C3×C8—62no—
489C3×C8—61no—
490C3⋊C8—22no—
491C3⋊C8—21no—
492C3⋊C8D3×D412yescomplemented
493C2×C32—24no—
494C2×C32D4211yescharacteristic
495C2×C32C22×D811yescharacteristic
496C2×C32#57611yescharacteristic
497C3⋊D3—42no—
498C3⋊D3—82no—
499C3×D3—42no—
500C3×D3—82no—
501C24—62no—
502C24—182no—
503C2×D4—31no—
504C2×D4—32no—
505C2×D4—64no—
506C2×D4—62no—
507C2×D4—62no—
508C2×D4—61no—
509C2×D4—61no—
510C2×D4—91no—
511C2×D4—92no—
512C2×D4—122no—
513C2×D4—124no—
514C2×D4—184no—
515C2×D4—182no—
516C2×D4—182no—
517C2×D4—181no—
518C2×D4—181no—
519C2×D4—362no—
520C2×D4—364no—
521C2×D4#62611yescharacteristic
522C22×C4—61no—
523C22×C4—181no—
524C22×C4C2×D3212yes—
525D8—94no—
526D8—184no—
527D8—184no—
528D8—184no—
529D8—362no—
530C2×C8—31no—
531C2×C8—31no—
532C2×C8—32no—
533C2×C8—64no—
534C4⋊C4—31no—
535C4⋊C4—91no—
536C4⋊C4#62611yescharacteristic
537C22⋊C4—61no—
538C22⋊C4—62no—
539C22⋊C4—181no—
540C22⋊C4—182no—
541C22⋊C4#62612yes—
542C42C2×D3211yescharacteristic
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—21no—
548C22×C3—24no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—62no—
552C22×C3—121no—
553C22×C3—121no—
554C22×C3—122no—
555C22×C3—122no—
556C22×C3—122no—
557C22×C3—248no—
558C22×C3C2×D2414yescomplemented
559C22×C3C2×#21314yescomplemented
560C22×C3C22×D1211yescharacteristic
561C22×C3C22×#6711yescharacteristic
562C2×D3—22no—
563C2×D3—41no—
564C2×D3—41no—
565C2×D3—42no—
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—64no—
569C2×D3—62no—
570C2×D3—62no—
571C2×D3—88no—
572C2×D3—122no—
573C2×D3—122no—
574C2×D3—121no—
575C2×D3—121no—
576C2×D3—121no—
577C2×D3—121no—
578C2×D3—124no—
579C2×D3—124no—
580C2×D3—124no—
581C2×D3—122no—
582C2×D3—122no—
583C2×D3—122no—
584C2×D3—122no—
585C2×D3—122no—
586C2×D3—122no—
587C2×D3—248no—
588C2×D3—248no—
589C2×D3—2416no—
590C3×C4—21no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—21no—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—22no—
597C3×C4—42no—
598C3×C4—41no—
599C3×C4—121no—
600C3×C4C2×D2412yescomplemented
601C3×C4C2×#21312yescomplemented
602C3×C4C2×D3×D411yescharacteristic
603C3×C4C2×D3×D411yescharacteristic
604C3×C4#100411yescharacteristic
605C3×C4#100911yescharacteristic
606Dic3—41no—
607Dic3—122no—
608Dic3—121no—
609Dic3—121no—
610C32D4×D811yescharacteristic, complemented, Sylow
611C23—61no—
612C23—62no—
613C23—124no—
614C23—124no—
615C23—181no—
616C23—182no—
617C23—242no—
618C23—364no—
619C23—364no—
620C23—722no—
621C23C2×#62612yes—
622D4—32no—
623D4—62no—
624D4—61no—
625D4—62no—
626D4—92no—
627D4—124no—
628D4—124no—
629D4—122no—
630D4—182no—
631D4—181no—
632D4—182no—
633D4—241no—
634D4—364no—
635D4—364no—
636D4—362no—
637D4—721no—
638D4#371414yesdirect product factor
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—61no—
642C2×C4—122no—
643C2×C4—181no—
644C2×C4—362no—
645C2×C4C2×#62611yescharacteristic
646C2×C4C2×#62612yes—
647C2×C4C2×#62611yescharacteristic
648C2×C4C22×D3211yescharacteristic
649C8—32no—
650C8—62no—
651C8—61no—
652C2×C3—24no—
653C2×C3—24no—
654C2×C3—21no—
655C2×C3—21no—
656C2×C3—21no—
657C2×C3—44no—
658C2×C3—122no—
659C2×C3—242no—
660C2×C3D4×D1211yescharacteristic
661C2×C3C22×D2411yescharacteristic
662C2×C3#575211yescharacteristic
663C2×C3C22×#21311yescharacteristic
664C2×C3D4×#6711yescharacteristic
665C2×C3#583511yescharacteristic
666D3—42no—
667D3—82no—
668D3—124no—
669D3—122no—
670D3—122no—
671D3—244no—
672D3—242no—
673D3—242no—
674C22—22no—
675C22—22no—
676C22—62no—
677C22—121no—
678C22—121no—
679C22—122no—
680C22—122no—
681C22—122no—
682C22—182no—
683C22—248no—
684C22—361no—
685C22—361no—
686C22—362no—
687C22—362no—
688C22—362no—
689C22—728no—
690C22C2×#371414yescomplemented
691C22C22×#62611yescharacteristic
692C4—21no—
693C4—22no—
694C4—121no—
695C4—361no—
696C4C2×#371412yescomplemented
697C4D32×D411yescharacteristic
698C4#6431411yescharacteristic
699C3—21no—
700C3D4×D2411yescharacteristic, complemented
701C3D4×#21311yescharacteristic, complemented
702C2—24no—
703C2—122no—
704C2—242no—
705C2—362no—
706C2—722no—
707C2C22×#371411yescharacteristic
708C2D4×#62611yescharacteristic
709C2#1059544911yescharacteristic
subgroupG/H
centerC22C22×#626
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
hypercenterC4×D4D32
hypocenterC32D4×D8
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. D4×C4⋊(C3⋊D3)C2semidirect
2. C3×D4×D12C2semidirect
3. C22×#3714C2semidirect
4. C3×D4×C3⋊C8C2semidirect
5. #10591168C2semidirect
6. #10591164C2semidirect
7. #10591162C2semidirect
8. #10590355C2semidirect
9. #10590350C2semidirect
10. #10590349C2semidirect
11. C4×#3714C2semidirect
15. C22×C4⋊(C3⋊D3)C22semidirect
17. C22×C3×D12C22semidirect
19. #64139C22semidirect
22. #64083C22semidirect
23. C4×C4⋊(C3⋊D3)C22semidirect
24. C3×#930C22semidirect
25. C22×C3×C3⋊C8C22semidirect
28. C3×#874C22semidirect
29. C3×C4×D12C22semidirect
32. C2×#3714C22semidirect
33. C2×#3714C22semidirect
34. C2×#3714C22semidirect
35. C2×#3714C22semidirect
36. C3×#830C22semidirect
37. C3×C4⋊(C3⋊C8)C22semidirect
38. C3×C4×C3⋊C8C22semidirect
39. #63575C22semidirect
40. #63564C22semidirect
41. #63564C22semidirect
42. #63563C22semidirect
43. #63563C22semidirect
50. D4×D12D3semidirect
60. D4×C3⋊C8D3semidirect
108. #3714D4direct (N × H)
119. C22×D12C2×D3semidirect
138. #930C2×D3semidirect
139. C22×C3⋊C8C2×D3semidirect
157. #874C2×D3semidirect
161. C4×D12C2×D3semidirect
167. #830C2×D3semidirect
176. C4⋊(C3⋊C8)C2×D3semidirect
177. C4×C3⋊C8C2×D3semidirect
189. C32×D4D8semidirect
204. C4⋊(C3⋊D3)C2×D4semidirect
214. C3×D12C2×D4semidirect
218. C3×C3⋊C8C2×D4semidirect
335. C22×C32C2×D8semidirect
353. C32×C4C2×D8semidirect
425. C3×D4D24semidirect
426. C3×D4#213semidirect
482. D12D3×D4semidirect
492. C3⋊C8D3×D4semidirect
558. C22×C3C2×D24semidirect
559. C22×C3C2×#213semidirect
600. C3×C4C2×D24semidirect
601. C3×C4C2×#213semidirect
610. C32D4×D8semidirect
638. D4#3714direct (N × H)
690. C22C2×#3714semidirect
696. C4C2×#3714semidirect
700. C3D4×D24semidirect
701. C3D4×#213semidirect

Maximal subgroups

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

subgroupindex
D4×C4⋊(C3⋊D3)2
C3×D4×D122
C22×#37142
C3×D4×C3⋊C82
#105911682
#105911642
#105911622
#105903552
#105903502
#105903492
C4×#37142
D4×#2133
D4×D243