Finite Group Databasebeta

← #11885746

Subgroups — #11885746

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
2C2×#63926C212yesmaximal, complemented
3#10594004C211yesmaximal, characteristic, complemented
4C3×#5015C211yesmaximal, characteristic, complemented
5C3×C4×#213C211yesmaximal, characteristic, complemented
6#10591456C212yesmaximal, complemented
7#10590598C212yesmaximal, complemented
8#10590509C212yesmaximal, complemented
9#10590350C211yesmaximal, characteristic, complemented
10#10590349C211yesmaximal, characteristic, complemented
11#10590327C211yesmaximal, characteristic, complemented
12#80350—31nomaximal
13D8×D12—31nomaximal
14C2×D4×C3⋊D3C2212yescomplemented
15C22×C4⋊(C3⋊D3)—21no—
16C2×#3802C2212yescomplemented
17C2×D3×D12—21no—
18C32×C4×D4C2211yescharacteristic, complemented
19#64139—21no—
20#64104C2212yescomplemented
21#64091—22no—
22#64083C2211yescharacteristic, complemented
23C4×C4⋊(C3⋊D3)C2211yescharacteristic
24C2×C3×#213C2211yescharacteristic
25C2×C3×#213C2212yescomplemented
26C3×#874C2211yescharacteristic, complemented
27C3×C4×D12C2211yescharacteristic, complemented
28#63926—28no—
29#63922—22no—
30#63916C2212yescomplemented
31#63908—21no—
32C2×#3714C2212yescomplemented
33C2×#3714C2212yescomplemented
34C2×#3714C2212yescomplemented
35C2×#3710C2212yescomplemented
36C3×#832C2211yescharacteristic, complemented
37C3×#809C2212yescomplemented
38C3×#809C2211yescharacteristic, complemented
39C3×#807C2211yescharacteristic, complemented
40C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
41C3×C4×C3⋊C8C2211yescharacteristic, complemented
42#63564C2212yescomplemented
43#63557C2212yescomplemented
44C2×D3×D8—32no—
45C2×D3×D8—32no—
46#5717—31no—
47D4×D12—31no—
48D4×D12—31no—
49D4×D12—31no—
50D4×D12—61no—
51C3×#459—31no—
52C3×C4×D8—31no—
53#5156—32no—
54#5073—31no—
55#5015—31no—
56#5015D311yescharacteristic, complemented
57C4×#213D311yescharacteristic, complemented
58#4883—32no—
59#4843—31no—
60#4834—31no—
61#4775—32no—
62#4773—32no—
63#4773—32no—
64#4773—32no—
65#4695—31no—
66C8×D12—31no—
67C23×C3⋊D3—22no—
68C22×D32—22no—
69C2×C32×D4C2311yescharacteristic
70C22×C32×C4—21no—
71C2×#638—22no—
72D4×C3⋊D3—24no—
73D4×C3⋊D3—42no—
74C2×C4⋊(C3⋊D3)—22no—
75C2×C4⋊(C3⋊D3)—21no—
76C2×C4⋊(C3⋊D3)—21no—
77C2×C4⋊(C3⋊D3)—44no—
78C2×C4⋊(C3⋊D3)D411yescharacteristic
79C2×C4⋊(C3⋊D3)C2312yes—
80C2×C4×C3⋊D3C2312yes—
81C2×C3×D12—21no—
82C2×C3×D12—21no—
83C2×C3×D12C2312yes—
84C2×C3×D12C2311yescharacteristic
85C2×C3×C4×D3—21no—
86C2×#626—22no—
87C2×#625—22no—
88#3802—24no—
89#3802—42no—
90D3×D12—44no—
91C32×C4⋊C4C2311yescharacteristic
92C32×C22⋊C4—21no—
93C32×C42C2311yescharacteristic
94#3752—22no—
95#3752D412yes—
96C4⋊(C3⋊Dic3)D411yescharacteristic
97C3×#213—24no—
98C3×#213D414yescomplemented
99C3×(C2×D3)⋊C4—21no—
100C3×C4⋊Dic3C2311yescharacteristic
101C2×C3×C3⋊C8C2312yes—
102C2×C3×C3⋊C8C2311yescharacteristic
103C2×C3×C3⋊C8C2311yescharacteristic
104(C2×D3)⋊Dic3—22no—
105#3714—24no—
106#3714—24no—
107#3714—42no—
108#3710—24no—
109D4×D8—91noSylow
110C2×D3×D4—32no—
111C2×D3×D4—32no—
112C2×D3×D4—32no—
113C2×D3×D4—32no—
114C2×D3×D4—62no—
115C2×D3×D4—61no—
116C22×D12—61no—
117C22×D12—61no—
118C22×D12—61no—
119C22×D12—62no—
120C2×C3×D8—31no—
121C2×C3×D8—32no—
122C3×#127—31no—
123C3×C4×D4—21no—
124C3×C4×D4—31no—
125C3×C4×D4C2×D311yescharacteristic, complemented
126C3×C4×D4C2×D311yescharacteristic, complemented
127#938—32no—
128#938—61no—
129#937—62no—
130C2×#213—32no—
131C2×#213—32no—
132C2×#213—32no—
133C2×#213C2×D311yescharacteristic
134C2×#213C2×D312yescomplemented
135#930—61no—
136#930—61no—
137#930—61no—
138#930—62no—
139D3×D8—68no—
140D3×D8—68no—
141C2×D24—32no—
142C2×D24—32no—
143C2×D24—32no—
144C2×D3×C8—32no—
145C2×D3×C8—32no—
146#895—32no—
147#895—32no—
148#895—32no—
149#895—62no—
150#882—62no—
151#882—62no—
152#882—62no—
153#882—64no—
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×#107—31no—
163C3×C4⋊C8—31no—
164C3×#102—31no—
165C3×#102—31no—
166C3×#102—32no—
167C3×C4×C8—31no—
168#832C2×D311yescharacteristic, complemented
169#821—32no—
170(C2×D3)⋊C8—32no—
171(C2×D3)⋊C8—32no—
172#809—32no—
173#809C2×D312yescomplemented
174#809C2×D311yescharacteristic, complemented
175#807C2×D311yescharacteristic, complemented
176C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
177C4×C3⋊C8C2×D311yescharacteristic, complemented
178C23×C32—21no—
179C22×C3⋊D3—22no—
180C22×C3⋊D3—44no—
181C22×C3⋊D3—44no—
182C22×C3⋊D3—82no—
183C22×C3⋊D3C2×D412yes—
184C22×C3×D3—21no—
185C22×C3×D3—22no—
186C2×D32—44no—
187C2×D32—44no—
188C2×D32—82no—
189C32×D4—21no—
190C32×D4C2×D412yescomplemented
191C2×C32×C4—21no—
192C2×C32×C4—42no—
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2411yescharacteristic
196#638—44no—
197C2×C3⋊Dic3C2×D412yes—
198C4⋊(C3⋊D3)—22no—
199C4⋊(C3⋊D3)—22no—
200C4⋊(C3⋊D3)—44no—
201C4⋊(C3⋊D3)—42no—
202C4⋊(C3⋊D3)—81no—
203C4⋊(C3⋊D3)D814yescomplemented
204C4×C3⋊D3—22no—
205C4×C3⋊D3—22no—
206C2×C3×Dic3—21no—
207C3×D12—22no—
208C3×D12—21no—
209C3×D12—22no—
210C3×D12—42no—
211C3×D12—81no—
212C3×D12C2×D412yescomplemented
213C3×C4×D3—42no—
214#626—44no—
215#625—44no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8—21no—
218C3×C3⋊C8C2×D412yescomplemented
219C22×D8—92no—
220D42—91no—
221D42—91no—
222#493—91no—
223#466—92no—
224#459—31no—
225#459—91no—
226#447—92no—
227#447—92no—
228C4×D8—31no—
229C8×D4—91no—
230C23×D3—62no—
231C23×D3—62no—
232C23×D3—62no—
233C23×D3—62no—
234C23×D3—64no—
235C2×C3×D4—21no—
236C2×C3×D4—31no—
237C2×C3×D4—32no—
238C2×C3×D4—61no—
239C2×C3×D4—61no—
240C2×C3×D4C22×D311yescharacteristic
241C2×C3×D4C22×D311yescharacteristic
242C22×C3×C4—22no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—61no—
246C2×#67—62no—
247C2×#67—62no—
248C2×#67—62no—
249C2×#67—62no—
250C2×#67—62no—
251C2×#67—64no—
252D3×D4—64no—
253D3×D4—64no—
254D3×D4—64no—
255D3×D4—64no—
256D3×D4—124no—
257D3×D4—124no—
258D3×D4—122no—
259D3×D4—122no—
260D3×D4—122no—
261D3×D4—122no—
262D3×D4—124no—
263C2×D12—21no—
264C2×D12—21no—
265C2×D12—31no—
266C2×D12—31no—
267C2×D12—32no—
268C2×D12—32no—
269C2×D12—61no—
270C2×D12—62no—
271C2×D12—62no—
272C2×D12—62no—
273C2×D12—62no—
274C2×D12—64no—
275C2×D12—62no—
276C2×D12—61no—
277C2×D12—61no—
278C2×D12—62no—
279C2×D12—61no—
280C2×D12—61no—
281C2×D12—124no—
282C2×D12—124no—
283C2×D12—124no—
284C2×D12—128no—
285C2×D12C22×D312yes—
286C2×D12C22×D311yescharacteristic
287C2×C4×D3—21no—
288C2×C4×D3—32no—
289C2×C4×D3—32no—
290C2×C4×D3—62no—
291C3×D8—34no—
292C3×D8—64no—
293C2×C3×C8—31no—
294C2×C3×C8—31no—
295C2×C3×C8—32no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4—31no—
298C3×C4⋊C4C22×D311yescharacteristic
299C3×C4⋊C4C22×D311yescharacteristic
300C3×C22⋊C4—22no—
301C3×C22⋊C4—21no—
302C3×C22⋊C4—21no—
303C3×C22⋊C4—61no—
304C3×C42—21no—
305C3×C42C22×D311yescharacteristic
306C3×C42C22×D311yescharacteristic
307#217—62no—
308#213—24no—
309#213—64no—
310#213—64no—
311#213—122no—
312#213D1214yescomplemented
313(C2×D3)⋊C4—21no—
314(C2×D3)⋊C4—32no—
315(C2×D3)⋊C4—32no—
316(C2×D3)⋊C4—62no—
317(C2×D3)⋊C4—62no—
318(C2×D3)⋊C4—62no—
319(C2×D3)⋊C4—62no—
320(C2×D3)⋊C4—64no—
321C4⋊Dic3—31no—
322C4⋊Dic3—31no—
323C4⋊Dic3—61no—
324C4⋊Dic3C22×D311yescharacteristic
325C2×C3⋊C8C22×D311yescharacteristic
326C2×C3⋊C8C22×D312yes—
327C2×C3⋊C8C22×D311yescharacteristic
328D24—64no—
329D24—64no—
330D24—122no—
331D3×C8—64no—
332D3×C8—64no—
333C22×C32—22no—
334C22×C32—41no—
335C22×C32—41no—
336C22×C32C22×D411yescharacteristic
337C2×C3⋊D3—22no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—42no—
340C2×C3⋊D3—42no—
341C2×C3⋊D3—42no—
342C2×C3⋊D3—88no—
343C2×C3⋊D3C2×D814yescomplemented
344C2×C3×D3—22no—
345C2×C3×D3—41no—
346C2×C3×D3—41no—
347C2×C3×D3—42no—
348C2×C3×D3—42no—
349C2×C3×D3—42no—
350D32—88no—
351C32×C4—21no—
352C32×C4—41no—
353C32×C4C2×D812yescomplemented
354C32×C4C22×D411yescharacteristic
355C32×C4H(5,𝔽2)11yescharacteristic
356C3⋊Dic3—22no—
357C3×Dic3—41no—
358C22×D4—92no—
359C22×D4—92no—
360C22×D4—181no—
361C22×D4—181no—
362C2×D8—31no—
363C2×D8—32no—
364C2×D8—92no—
365C2×D8—92no—
366C2×D8—92no—
367C2×D8—188no—
368C22×C8—92no—
369#127—31no—
370#127—91no—
371#121—92no—
372#121—92no—
373#121—181no—
374#121—181no—
375#120—182no—
376#120—182no—
377C4×D4—31no—
378C4×D4—91no—
379C4×D4D3211yescharacteristic, complemented
380#107—31no—
381C4⋊C8—31no—
382#102—31no—
383#102—31no—
384#102—32no—
385#102—92no—
386C22⋊C8—92no—
387C4×C8—31no—
388C23×C3—22no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—61no—
392C23×C3—62no—
393C22×D3—21no—
394C22×D3—22no—
395C22×D3—32no—
396C22×D3—32no—
397C22×D3—62no—
398C22×D3—64no—
399C22×D3—62no—
400C22×D3—62no—
401C22×D3—124no—
402C22×D3—124no—
403C22×D3—124no—
404C22×D3—124no—
405C22×D3—124no—
406C22×D3—124no—
407C22×D3—124no—
408C22×D3—124no—
409C22×D3—128no—
410C22×D3—128no—
411C22×D3—242no—
412C22×D3—242no—
413C22×D3—242no—
414C22×D3—242no—
415C22×D3—244no—
416C3×D4—22no—
417C3×D4—21no—
418C3×D4—21no—
419C3×D4—22no—
420C3×D4—32no—
421C3×D4—62no—
422C3×D4—61no—
423C3×D4—62no—
424C3×D4—122no—
425C3×D4—241no—
426C3×D4C2×D1212yescomplemented
427C3×D4D3×D412yescomplemented
428C2×C3×C4—22no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—44no—
435C2×C3×C4—42no—
436C2×C3×C4—42no—
437C2×C3×C4—61no—
438C2×C3×C4—122no—
439C2×C3×C4D3×D411yescharacteristic
440C2×C3×C4D3×D411yescharacteristic
441C2×C3×C4D3×D411yescharacteristic
442C2×C3×C4D3×D411yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444C2×C3×C4C23×D311yescharacteristic
445#67—124no—
446#67—124no—
447#67—124no—
448#67—124no—
449#67—124no—
450#67—128no—
451C2×Dic3—21no—
452C2×Dic3—32no—
453C2×Dic3—32no—
454C2×Dic3—62no—
455D12—22no—
456D12—21no—
457D12—22no—
458D12—34no—
459D12—34no—
460D12—42no—
461D12—64no—
462D12—62no—
463D12—62no—
464D12—62no—
465D12—62no—
466D12—81no—
467D12—122no—
468D12—122no—
469D12—124no—
470D12—124no—
471D12—124no—
472D12—128no—
473D12—124no—
474D12—122no—
475D12—122no—
476D12—241no—
477D12—241no—
478D12—242no—
479D12C2×D1212yescomplemented
480C4×D3—42no—
481C4×D3—62no—
482C4×D3—62no—
483C4×D3—62no—
484C4×D3—62no—
485C4×D3—122no—
486C4×D3—122no—
487C3×C8—32no—
488C3×C8—62no—
489C3×C8—61no—
490C3⋊C8—22no—
491C3⋊C8—21no—
492C3⋊C8C2×D1212yescomplemented
493C2×C32—42no—
494C2×C32D4211yescharacteristic
495C2×C32C22×D811yescharacteristic
496C2×C32#57611yescharacteristic
497C3⋊D3—24no—
498C3⋊D3—82no—
499C3×D3—42no—
500C3×D3—82no—
501C24—182no—
502C24—182no—
503C2×D4—31no—
504C2×D4—32no—
505C2×D4—61no—
506C2×D4—61no—
507C2×D4—92no—
508C2×D4—91no—
509C2×D4—182no—
510C2×D4—182no—
511C2×D4—182no—
512C2×D4—182no—
513C2×D4—184no—
514C2×D4—184no—
515C2×D4—181no—
516C2×D4—181no—
517C2×D4—364no—
518C2×D4—364no—
519C2×D4—362no—
520C2×D4—362no—
521C2×D4C2×D3211yescharacteristic
522C22×C4—21no—
523C22×C4—61no—
524C22×C4—92no—
525D8—34no—
526D8—64no—
527D8—184no—
528D8—184no—
529D8—362no—
530C2×C8—31no—
531C2×C8—31no—
532C2×C8—32no—
533C2×C8—184no—
534C4⋊C4—31no—
535C4⋊C4—91no—
536C4⋊C4C2×D3211yescharacteristic
537C22⋊C4—21no—
538C22⋊C4—61no—
539C22⋊C4—92no—
540C22⋊C4—182no—
541C22⋊C4—182no—
542C42C2×D3211yescharacteristic
543C22×C3—24no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—21no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—41no—
550C22×C3—41no—
551C22×C3—41no—
552C22×C3—41no—
553C22×C3—62no—
554C22×C3—121no—
555C22×C3—121no—
556C22×C3—122no—
557C22×C3—122no—
558C22×C3—122no—
559C22×C3C2×D3×D411yescharacteristic
560C22×C3C2×D3×D411yescharacteristic
561C2×D3—22no—
562C2×D3—34no—
563C2×D3—34no—
564C2×D3—41no—
565C2×D3—41no—
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—64no—
570C2×D3—62no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—122no—
575C2×D3—122no—
576C2×D3—124no—
577C2×D3—124no—
578C2×D3—124no—
579C2×D3—122no—
580C2×D3—122no—
581C2×D3—122no—
582C2×D3—122no—
583C2×D3—122no—
584C2×D3—122no—
585C2×D3—248no—
586C2×D3—248no—
587C2×D3—248no—
588C2×D3—248no—
589C2×D3—2416no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—22no—
595C3×C4—41no—
596C3×C4—42no—
597C3×C4—41no—
598C3×C4—41no—
599C3×C4—121no—
600C3×C4D3×D812yescomplemented
601C3×C4D3×D812yescomplemented
602C3×C4C22×D1211yescharacteristic
603C3×C4C2×D3×D411yescharacteristic
604C3×C4#100911yescharacteristic
605C3×C4#100911yescharacteristic
606Dic3—41no—
607Dic3—62no—
608Dic3—62no—
609Dic3—122no—
610C32D4×D811yescharacteristic, complemented, Sylow
611C23—21no—
612C23—61no—
613C23—62no—
614C23—92no—
615C23—182no—
616C23—364no—
617C23—364no—
618C23—364no—
619C23—364no—
620C23—722no—
621C23—722no—
622D4—21no—
623D4—32no—
624D4—62no—
625D4—61no—
626D4—62no—
627D4—94no—
628D4—122no—
629D4—182no—
630D4—182no—
631D4—241no—
632D4—364no—
633D4—364no—
634D4—364no—
635D4—364no—
636D4—362no—
637D4—721no—
638D4D3×D1212yescomplemented
639C2×C4—21no—
640C2×C4—42no—
641C2×C4—61no—
642C2×C4—92no—
643C2×C4—122no—
644C2×C4—182no—
645C2×C4—182no—
646C2×C4#381111yescharacteristic
647C2×C4#381111yescharacteristic
648C2×C4C22×D3211yescharacteristic
649C8—32no—
650C8—62no—
651C8—61no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—44no—
656C2×C3—42no—
657C2×C3—42no—
658C2×C3—122no—
659C2×C3—242no—
660C2×C3D4×D1211yescharacteristic
661C2×C3#560911yescharacteristic
662C2×C3C2×D3×D811yescharacteristic
663C2×C3C2×D3×D811yescharacteristic
664C2×C3#576911yescharacteristic
665C2×C3#577411yescharacteristic
666D3—42no—
667D3—64no—
668D3—64no—
669D3—82no—
670D3—124no—
671D3—244no—
672D3—242no—
673D3—242no—
674C22—22no—
675C22—41no—
676C22—41no—
677C22—62no—
678C22—94no—
679C22—121no—
680C22—121no—
681C22—122no—
682C22—122no—
683C22—122no—
684C22—182no—
685C22—182no—
686C22—362no—
687C22—362no—
688C22—362no—
689C22—728no—
690C22—728no—
691C22C2×#381111yescharacteristic
692C4—21no—
693C4—41no—
694C4—121no—
695C4—182no—
696C4#6392612yescomplemented
697C4C2×D3×D1211yescharacteristic
698C4#6430811yescharacteristic
699C3—21no—
700C3D8×D1211yescharacteristic, complemented
701C3#8035011yescharacteristic, complemented
702C2—42no—
703C2—122no—
704C2—184no—
705C2—242no—
706C2—722no—
707C2#1059507411yescharacteristic
708C2C2×#6392611yescharacteristic
709C2#1059546111yescharacteristic
subgroupG/H
centerC22C2×#3811
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 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. D4×C4⋊(C3⋊D3)C2semidirect
2. C2×#63926C2semidirect
3. #10594004C2semidirect
4. C3×#5015C2semidirect
5. C3×C4×#213C2semidirect
6. #10591456C2semidirect
7. #10590598C2semidirect
8. #10590509C2semidirect
9. #10590350C2semidirect
10. #10590349C2semidirect
11. #10590327C2semidirect
14. C2×D4×C3⋊D3C22semidirect
16. C2×#3802C22semidirect
18. C32×C4×D4C22semidirect
20. #64104C22semidirect
22. #64083C22semidirect
25. C2×C3×#213C22semidirect
26. C3×#874C22semidirect
27. C3×C4×D12C22semidirect
30. #63916C22semidirect
32. C2×#3714C22semidirect
33. C2×#3714C22semidirect
34. C2×#3714C22semidirect
35. C2×#3710C22semidirect
36. C3×#832C22semidirect
37. C3×#809C22semidirect
38. C3×#809C22semidirect
39. C3×#807C22semidirect
40. C3×C4⋊(C3⋊C8)C22semidirect
41. C3×C4×C3⋊C8C22semidirect
42. #63564C22semidirect
43. #63557C22semidirect
56. #5015D3semidirect
57. C4×#213D3semidirect
98. C3×#213D4semidirect
125. C3×C4×D4C2×D3semidirect
126. C3×C4×D4C2×D3semidirect
134. C2×#213C2×D3semidirect
157. #874C2×D3semidirect
161. C4×D12C2×D3semidirect
168. #832C2×D3semidirect
173. #809C2×D3semidirect
174. #809C2×D3semidirect
175. #807C2×D3semidirect
176. C4⋊(C3⋊C8)C2×D3semidirect
177. C4×C3⋊C8C2×D3semidirect
190. C32×D4C2×D4semidirect
203. C4⋊(C3⋊D3)D8semidirect
212. C3×D12C2×D4semidirect
218. C3×C3⋊C8C2×D4semidirect
312. #213D12semidirect
343. C2×C3⋊D3C2×D8semidirect
353. C32×C4C2×D8semidirect
379. C4×D4D32semidirect
426. C3×D4C2×D12semidirect
427. C3×D4D3×D4semidirect
479. D12C2×D12semidirect
492. C3⋊C8C2×D12semidirect
600. C3×C4D3×D8semidirect
601. C3×C4D3×D8semidirect
610. C32D4×D8semidirect
638. D4D3×D12semidirect
696. C4#63926semidirect
700. C3D8×D12semidirect
701. C3#80350semidirect

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
C2×#639262
#105940042
C3×#50152
C3×C4×#2132
#105914562
#105905982
#105905092
#105903502
#105903492
#105903272
#803503
D8×D123