Finite Group Databasebeta

← D3×#5015 #11865441

Subgroups — D3×#5015 #11865441

Order 1152.

1366 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×D3×D4C211yesmaximal, characteristic, complemented
2C2×D3×#213C212yesmaximal, complemented
3D3×#874C211yesmaximal, characteristic, complemented
4#10592714C211yesmaximal, characteristic, complemented
5C3×#5015C211yesmaximal, characteristic, complemented
6#10591481C212yesmaximal, complemented
7D3×#809C212yesmaximal, complemented
8#10590547C212yesmaximal, complemented
9#10590349C211yesmaximal, characteristic, complemented
10#10590347C211yesmaximal, characteristic, complemented
11D3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
12C2×#5015—31nomaximal
13D3×#459—31nomaximal
14C2×C3×D3×D4C2211yescharacteristic
15C22×C3×C4×D3—21no—
16C2×D3×D12—21no—
17C2×D3×D12—21no—
18C2×D3×D12C2212yes—
19C32×C4×D4C2211yescharacteristic, complemented
20C2×#3753C2212yescomplemented
21#64083C2211yescharacteristic, complemented
22C3×D4×Dic3C2211yescharacteristic, complemented
23C2×C3×#213C2212yescomplemented
24C3×C4×#67—21no—
25C3×#893C2211yescharacteristic, complemented
26C3×D3×C4⋊C4C2211yescharacteristic
27C3×#67⋊C4—21no—
28C3×D3×C22⋊C4—21no—
29C3×#874C2211yescharacteristic, complemented
30C3×C4×D12C2211yescharacteristic, complemented
31C3×C42×D3C2211yescharacteristic
32D3×#213—28no—
33#63911—21no—
34#63911—21no—
35#63911C2212yescomplemented
36C2×#3714C2212yescomplemented
37C2×#3713C2212yescomplemented
38C2×D3×C3⋊C8C2212yes—
39#63636C2212yescomplemented
40C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
41C3×#809C2212yescomplemented
42C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
43Dic3⋊(C3⋊C8)C2212yescomplemented
44#63564C2212yescomplemented
45#63562C2212yescomplemented
46C2×C3×C4×D4—31no—
47C22×#213—32no—
48C2×D3×D8—32no—
49D3×#127—31no—
50C4×D3×D4D311yescharacteristic, complemented
51C2×#874—31no—
52C3×#459—31no—
53#5150—32no—
54#5072—31no—
55#5015—31no—
56#5015—31no—
57#5015—32no—
58#5015—31no—
59#5015—32no—
60#5015—31no—
61#5015—61no—
62#5015D311yescharacteristic, direct product factor
63C2×#809—32no—
64C2×C4⋊(C3⋊C8)—31no—
65#4843—31no—
66D3×C4⋊C8—31no—
67#4786—32no—
68D3×#102—32no—
69C23×C3×D3—21no—
70C22×D32—22no—
71C2×C32×D4C2311yescharacteristic
72C22×C32×C4—21no—
73C2×C4⋊(C3⋊D3)—21no—
74C2×C4⋊(C3⋊D3)—21no—
75C2×C4⋊(C3⋊D3)C2312yes—
76C2×C3×#67—21no—
77C22×C3×Dic3—21no—
78C3×D3×D4—22no—
79C3×D3×D4D414yescomplemented
80C2×C3×D12—21no—
81C2×C3×D12—21no—
82C2×C3×D12C2312yes—
83C2×C3×D12C2311yescharacteristic
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—21no—
86C2×C3×C4×D3—21no—
87C2×C3×C4×D3—44no—
88C2×C3×C4×D3D411yescharacteristic
89C2×C3×C4×D3D411yescharacteristic
90C2×C3×C4×D3C2311yescharacteristic
91C2×#626—22no—
92C2×#626—22no—
93C2×#626—22no—
94D3×D12—24no—
95D3×D12—24no—
96D3×D12—44no—
97D3×D12—44no—
98C32×C4⋊C4C2311yescharacteristic
99C32×C22⋊C4—21no—
100C32×C42C2311yescharacteristic
101#3753—24no—
102C2×C3⋊(C3⋊C8)C2312yes—
103C3×#217—21no—
104C3×#213—24no—
105C3×(C2×D3)⋊C4—21no—
106C3×(C2×D3)⋊C4—21no—
107C3×C4⋊Dic3C2311yescharacteristic
108C3×Dic3⋊C4—21no—
109C3×C4×Dic3D411yescharacteristic
110C3×C4×Dic3D411yescharacteristic
111C3×C4×Dic3C2311yescharacteristic
112C2×C3×C3⋊C8C2312yes—
113#3714—24no—
114#3713—24no—
115D3×C3⋊C8—24no—
116C2×#459—91noSylow
117C22×C3×D4—31no—
118C23×C3×C4—61no—
119C2×D3×D4—32no—
120C2×D3×D4—61no—
121C2×D3×D4—61no—
122C2×D3×D4C2×D311yescharacteristic
123C22×D12—32no—
124C22×D12—61no—
125C22×D12—61no—
126C22×C4×D3—21no—
127C2×C3×D8—32no—
128C3×#127—31no—
129C3×C4×D4—21no—
130C3×C4×D4—31no—
131C3×C4×D4—31no—
132C3×C4×D4—31no—
133C3×C4×D4—61no—
134C3×C4×D4—61no—
135C3×C4×D4C2×D311yescharacteristic, complemented
136C3×C4×D4C2×D311yescharacteristic, complemented
137C2×C3×C4⋊C4—31no—
138C2×C3×C22⋊C4—61no—
139C2×C3×C42—31no—
140#940—32no—
141#940—61no—
142#940—61no—
143D4×Dic3C2×D311yescharacteristic, complemented
144C2×#213—32no—
145C2×#213—32no—
146C2×#213—32no—
147C2×#213—32no—
148C2×#213—32no—
149C2×#213—62no—
150C2×#213—68no—
151C2×#213C2×D312yescomplemented
152C4×#67—21no—
153C22×C3⋊C8—32no—
154D3×D8—68no—
155C2×D24—32no—
156C2×D3×C8—32no—
157#893C2×D311yescharacteristic, complemented
158D3×C4⋊C4C2×D311yescharacteristic
159#67⋊C4—21no—
160D3×C22⋊C4—21no—
161#874—32no—
162#874—31no—
163#874—31no—
164#874—61no—
165#874—61no—
166#874—61no—
167#874C2×D311yescharacteristic, complemented
168C4×D12C2×D311yescharacteristic, complemented
169C42×D3C2×D311yescharacteristic
170C3×C4⋊C8—31no—
171C3×#102—32no—
172#832—32no—
173#821—32no—
174Dic3⋊C8—32no—
175#809—32no—
176#809—32no—
177#809—32no—
178#809—32no—
179#809—62no—
180#809C2×D312yescomplemented
181C4⋊(C3⋊C8)—31no—
182C4⋊(C3⋊C8)—31no—
183C4⋊(C3⋊C8)—32no—
184C4⋊(C3⋊C8)—61no—
185C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
186C23×C32—21no—
187C22×C3⋊D3—22no—
188C22×C3×D3—21no—
189C22×C3×D3—24no—
190C22×C3×D3—22no—
191C22×C3×D3—42no—
192C22×C3×D3—42no—
193C22×C3×D3C2×D411yescharacteristic
194C2×D32—44no—
195C2×D32—44no—
196C2×D32—44no—
197C32×D4—21no—
198C32×D4C2×D412yescomplemented
199C2×C32×C4—21no—
200C2×C32×C4—42no—
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4C2411yescharacteristic
204C4⋊(C3⋊D3)—22no—
205C4⋊(C3⋊D3)—22no—
206C4⋊(C3⋊D3)—42no—
207C4⋊(C3⋊D3)—42no—
208C3×#67—24no—
209C2×C3×Dic3—21no—
210C2×C3×Dic3—42no—
211C2×C3×Dic3C2×D411yescharacteristic
212C2×C3×Dic3C2×D411yescharacteristic
213C2×C3×Dic3C2×D411yescharacteristic
214C3×D12—22no—
215C3×D12—21no—
216C3×D12—22no—
217C3×D12—42no—
218C3×D12—42no—
219C3×D12C2×D412yescomplemented
220C3×C4×D3—22no—
221C3×C4×D3—42no—
222C3×C4×D3—42no—
223C3×C4×D3—42no—
224C3×C4×D3D814yescomplemented
225C3×C4×D3C2×D412yes—
226C3×C4×D3#4112yes—
227#626—44no—
228#626—44no—
229#626—44no—
230C3⋊(C3⋊C8)—22no—
231C3×C3⋊C8—22no—
232C22×D8—92no—
233C2×#127—91no—
234C2×C4×D4—31no—
235#459—31no—
236#459—92no—
237#459—91no—
238#459—91no—
239#459—92no—
240#459—91no—
241C2×C4⋊C8—91no—
242C2×#102—92no—
243C24×C3—61no—
244C23×D3—21no—
245C23×D3—62no—
246C23×D3—62no—
247C2×C3×D4—21no—
248C2×C3×D4—34no—
249C2×C3×D4—31no—
250C2×C3×D4—32no—
251C2×C3×D4—62no—
252C2×C3×D4—61no—
253C2×C3×D4—61no—
254C2×C3×D4—61no—
255C2×C3×D4C22×D311yescharacteristic
256C2×C3×D4C22×D311yescharacteristic
257C22×C3×C4—21no—
258C22×C3×C4—21no—
259C22×C3×C4—31no—
260C22×C3×C4—31no—
261C22×C3×C4—31no—
262C22×C3×C4—41no—
263C22×C3×C4—61no—
264C22×C3×C4—61no—
265C22×C3×C4—61no—
266C22×C3×C4—61no—
267C22×C3×C4—124no—
268C2×#67—21no—
269C2×#67—62no—
270C2×#67—62no—
271C2×#67—62no—
272C22×Dic3—21no—
273D3×D4—22no—
274D3×D4—64no—
275D3×D4—64no—
276D3×D4—124no—
277D3×D4—124no—
278D3×D4D1214yescomplemented
279C2×D12—21no—
280C2×D12—21no—
281C2×D12—32no—
282C2×D12—32no—
283C2×D12—62no—
284C2×D12—64no—
285C2×D12—64no—
286C2×D12—62no—
287C2×D12—62no—
288C2×D12—62no—
289C2×D12—61no—
290C2×D12—61no—
291C2×D12—61no—
292C2×D12—61no—
293C2×D12—121no—
294C2×D12—121no—
295C2×D12—124no—
296C2×D12—124no—
297C2×D12C22×D312yes—
298C2×D12C22×D311yescharacteristic
299C2×C4×D3—21no—
300C2×C4×D3—21no—
301C2×C4×D3—21no—
302C2×C4×D3—44no—
303C2×C4×D3#6711yescharacteristic
304C2×C4×D3#6711yescharacteristic
305C2×C4×D3C22×D311yescharacteristic
306C3×D8—64no—
307C2×C3×C8—32no—
308C3×C4⋊C4—21no—
309C3×C4⋊C4—31no—
310C3×C4⋊C4—61no—
311C3×C4⋊C4C22×D311yescharacteristic
312C3×C4⋊C4C22×D311yescharacteristic
313C3×C22⋊C4—21no—
314C3×C22⋊C4—21no—
315C3×C22⋊C4—41no—
316C3×C22⋊C4—61no—
317C3×C22⋊C4—61no—
318C3×C22⋊C4—61no—
319C3×C42—21no—
320C3×C42—31no—
321C3×C42—31no—
322C3×C42—31no—
323C3×C42C22×D311yescharacteristic
324C3×C42C22×D311yescharacteristic
325#217—21no—
326#213—24no—
327#213—64no—
328#213—64no—
329#213—64no—
330#213—64no—
331#213—64no—
332#213—124no—
333(C2×D3)⋊C4—21no—
334(C2×D3)⋊C4—21no—
335C4⋊Dic3C22×D311yescharacteristic
336Dic3⋊C4—21no—
337C4×Dic3#6711yescharacteristic
338C4×Dic3#6711yescharacteristic
339C4×Dic3C22×D311yescharacteristic
340C2×C3⋊C8—32no—
341C2×C3⋊C8—32no—
342C2×C3⋊C8—62no—
343C2×C3⋊C8—64no—
344C2×C3⋊C8C22×D312yes—
345D24—64no—
346D3×C8—64no—
347C22×C32—22no—
348C22×C32—41no—
349C22×C32—41no—
350C22×C32C22×D411yescharacteristic
351C2×C3⋊D3—42no—
352C2×C3⋊D3—42no—
353C2×C3⋊D3—42no—
354C2×C3×D3—22no—
355C2×C3×D3—41no—
356C2×C3×D3—41no—
357C2×C3×D3—48no—
358C2×C3×D3—42no—
359C2×C3×D3—42no—
360C2×C3×D3—42no—
361C2×C3×D3#12112yes—
362C2×C3×D3C2×D812yes—
363C2×C3×D3AGL(1,ℤ/8)12yes—
364D32—88no—
365C32×C4—21no—
366C32×C4—41no—
367C32×C4C2×D812yescomplemented
368C32×C4C22×D411yescharacteristic
369C32×C4C2×#4111yescharacteristic
370C3×Dic3—21no—
371C3×Dic3—41no—
372C3×Dic3#12112yes—
373C3×Dic3C2×D812yescomplemented
374C22×D4—31no—
375C22×D4—92no—
376C22×D4—181no—
377C22×D4—181no—
378C23×C4—61no—
379C2×D8—32no—
380C2×D8—92no—
381C2×D8—92no—
382C2×D8—92no—
383C2×D8—188no—
384C22×C8—92no—
385#127—31no—
386#127—92no—
387#127—91no—
388#127—181no—
389#127—181no—
390C4×D4—31no—
391C4×D4—31no—
392C4×D4—31no—
393C4×D4—61no—
394C4×D4—61no—
395C4×D4D3211yescharacteristic, complemented
396C2×C4⋊C4—31no—
397C2×C22⋊C4—61no—
398C2×C42—31no—
399C4⋊C8—31no—
400C4⋊C8—92no—
401C4⋊C8—91no—
402#102—32no—
403#102—92no—
404#102—92no—
405#102—92no—
406C23×C3—21no—
407C23×C3—21no—
408C23×C3—31no—
409C23×C3—41no—
410C23×C3—64no—
411C23×C3—61no—
412C23×C3—62no—
413C23×C3—122no—
414C23×C3—122no—
415C22×D3—21no—
416C22×D3—24no—
417C22×D3—22no—
418C22×D3—42no—
419C22×D3—42no—
420C22×D3—62no—
421C22×D3—62no—
422C22×D3—122no—
423C22×D3—124no—
424C22×D3—124no—
425C22×D3—124no—
426C22×D3—124no—
427C22×D3—124no—
428C22×D3—124no—
429C22×D3C2×#6711yescharacteristic
430C3×D4—21no—
431C3×D4—21no—
432C3×D4—22no—
433C3×D4—32no—
434C3×D4—41no—
435C3×D4—64no—
436C3×D4—62no—
437C3×D4—62no—
438C3×D4—61no—
439C3×D4—122no—
440C3×D4—122no—
441C3×D4C2×D1212yescomplemented
442C3×D4D3×D412yescomplemented
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—21no—
448C2×C3×C4—31no—
449C2×C3×C4—31no—
450C2×C3×C4—34no—
451C2×C3×C4—32no—
452C2×C3×C4—32no—
453C2×C3×C4—31no—
454C2×C3×C4—41no—
455C2×C3×C4—42no—
456C2×C3×C4—42no—
457C2×C3×C4—62no—
458C2×C3×C4—61no—
459C2×C3×C4—82no—
460C2×C3×C4—122no—
461C2×C3×C4—122no—
462C2×C3×C4—122no—
463C2×C3×C4—122no—
464C2×C3×C4D3×D411yescharacteristic
465C2×C3×C4D3×D411yescharacteristic
466C2×C3×C4C2×#6711yescharacteristic
467C2×C3×C4C2×#6711yescharacteristic
468C2×C3×C4C23×D311yescharacteristic
469C2×C3×C4C23×D311yescharacteristic
470#67—24no—
471#67—124no—
472#67—124no—
473#67—124no—
474C2×Dic3—21no—
475C2×Dic3—42no—
476C2×Dic3C2×#6711yescharacteristic
477C2×Dic3C2×#6711yescharacteristic
478C2×Dic3C2×#6711yescharacteristic
479D12—21no—
480D12—22no—
481D12—22no—
482D12—42no—
483D12—42no—
484D12—62no—
485D12—62no—
486D12—62no—
487D12—62no—
488D12—122no—
489D12—122no—
490D12—122no—
491D12—122no—
492D12—124no—
493D12—124no—
494D12—124no—
495D12—122no—
496D12—122no—
497D12—242no—
498D12—242no—
499D12C2×D1212yescomplemented
500C4×D3—22no—
501C4×D3—42no—
502C4×D3—42no—
503C4×D3—42no—
504C4×D3#21314yescomplemented
505C4×D3C2×D1212yes—
506C4×D3#23512yes—
507C3×C8—62no—
508C3⋊C8—22no—
509C3⋊C8—62no—
510C3⋊C8—62no—
511C3⋊C8—122no—
512C2×C32—42no—
513C2×C32C2×#12111yescharacteristic
514C2×C32C22×D811yescharacteristic
515C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
516C3⋊D3—82no—
517C3×D3—42no—
518C3×D3—82no—
519C3×D3#45914yescomplemented
520C24—61no—
521C24—182no—
522C2×D4—34no—
523C2×D4—31no—
524C2×D4—32no—
525C2×D4—62no—
526C2×D4—61no—
527C2×D4—61no—
528C2×D4—61no—
529C2×D4—92no—
530C2×D4—184no—
531C2×D4—184no—
532C2×D4—182no—
533C2×D4—182no—
534C2×D4—182no—
535C2×D4—181no—
536C2×D4—181no—
537C2×D4—364no—
538C2×D4—364no—
539C2×D4C2×D3211yescharacteristic
540C22×C4—21no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—61no—
545C22×C4—61no—
546C22×C4—61no—
547C22×C4—61no—
548C22×C4—124no—
549D8—64no—
550D8—184no—
551D8—184no—
552D8—184no—
553C2×C8—32no—
554C2×C8—92no—
555C2×C8—184no—
556C4⋊C4—31no—
557C4⋊C4—61no—
558C4⋊C4C2×D3211yescharacteristic
559C22⋊C4—21no—
560C22⋊C4—61no—
561C22⋊C4—61no—
562C22⋊C4—61no—
563C42—31no—
564C42—31no—
565C42—31no—
566C42C2×D3211yescharacteristic
567C22×C3—22no—
568C22×C3—22no—
569C22×C3—21no—
570C22×C3—32no—
571C22×C3—32no—
572C22×C3—32no—
573C22×C3—42no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—41no—
578C22×C3—62no—
579C22×C3—81no—
580C22×C3—81no—
581C22×C3—128no—
582C22×C3—121no—
583C22×C3—121no—
584C22×C3—122no—
585C22×C3—122no—
586C22×C3—122no—
587C22×C3C2×D3×D411yescharacteristic
588C22×C3C22×#6711yescharacteristic
589C2×D3—22no—
590C2×D3—41no—
591C2×D3—41no—
592C2×D3—48no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—42no—
596C2×D3—122no—
597C2×D3—122no—
598C2×D3—122no—
599C2×D3—122no—
600C2×D3—122no—
601C2×D3—122no—
602C2×D3—242no—
603C2×D3—242no—
604C2×D3—242no—
605C2×D3—248no—
606C2×D3—248no—
607C2×D3#93012yes—
608C2×D3C2×#21312yes—
609C2×D3#94912yes—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—22no—
615C3×C4—32no—
616C3×C4—32no—
617C3×C4—41no—
618C3×C4—41no—
619C3×C4—41no—
620C3×C4—61no—
621C3×C4—81no—
622C3×C4—121no—
623C3×C4D3×D812yescomplemented
624C3×C4C2×#21312yescomplemented
625C3×C4C22×D1211yescharacteristic
626C3×C4C2×#23511yescharacteristic
627C3×C4C2×D3×D411yescharacteristic
628C3×C4D3×#4111yescharacteristic
629Dic3—21no—
630Dic3—41no—
631Dic3#93012yes—
632Dic3C2×#21312yescomplemented
633C32C2×#45911yescharacteristic, complemented, Sylow
634C23—21no—
635C23—31no—
636C23—64no—
637C23—61no—
638C23—62no—
639C23—122no—
640C23—122no—
641C23—182no—
642C23—364no—
643C23—364no—
644C23—364no—
645D4—21no—
646D4—32no—
647D4—64no—
648D4—62no—
649D4—61no—
650D4—62no—
651D4—122no—
652D4—122no—
653D4—182no—
654D4—182no—
655D4—362no—
656D4—364no—
657D4—364no—
658D4—364no—
659D4—362no—
660D4D3×D1212yescomplemented
661C2×C4—21no—
662C2×C4—31no—
663C2×C4—31no—
664C2×C4—32no—
665C2×C4—32no—
666C2×C4—34no—
667C2×C4—31no—
668C2×C4—42no—
669C2×C4—62no—
670C2×C4—61no—
671C2×C4—122no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—122no—
675C2×C4D3×#6711yescharacteristic
676C2×C4D3×#6711yescharacteristic
677C2×C4C22×D3211yescharacteristic
678C8—62no—
679C8—182no—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—21no—
683C2×C3—34no—
684C2×C3—42no—
685C2×C3—42no—
686C2×C3—82no—
687C2×C3—122no—
688C2×C3—242no—
689C2×C3D3×#12111yescharacteristic
690C2×C3C2×D3×D811yescharacteristic
691C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
692C2×C3C2×#93011yescharacteristic
693C2×C3C22×#21311yescharacteristic
694C2×C3C2×#94911yescharacteristic
695D3—42no—
696D3—82no—
697D3—242no—
698D3—242no—
699D3—482no—
700D3#501514yesdirect product factor
701C22—22no—
702C22—32no—
703C22—32no—
704C22—32no—
705C22—41no—
706C22—41no—
707C22—62no—
708C22—128no—
709C22—121no—
710C22—121no—
711C22—122no—
712C22—122no—
713C22—122no—
714C22—362no—
715C22—362no—
716C22—362no—
717C22—728no—
718C22C2×D3×#6711yescharacteristic
719C4—21no—
720C4—32no—
721C4—32no—
722C4—41no—
723C4—61no—
724C4—121no—
725C4D3×#21312yescomplemented
726C4C2×D3×D1211yescharacteristic
727C4D3×#23511yescharacteristic
728C3—21no—
729C3D3×#45911yescharacteristic, complemented
730C3C2×#501511yescharacteristic, complemented
731C2—34no—
732C2—42no—
733C2—122no—
734C2—242no—
735C2—722no—
736C2D3×#93011yescharacteristic
737C2C2×D3×#21311yescharacteristic
738C2D3×#94911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
hypercenterC4×D4D32
hypocenterC32C2×#459
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. C3×C4×D3×D4C2semidirect
2. C2×D3×#213C2semidirect
3. D3×#874C2semidirect
4. #10592714C2semidirect
5. C3×#5015C2semidirect
6. #10591481C2semidirect
7. D3×#809C2semidirect
8. #10590547C2semidirect
9. #10590349C2semidirect
10. #10590347C2semidirect
11. D3×C4⋊(C3⋊C8)C2semidirect
19. C32×C4×D4C22semidirect
20. C2×#3753C22semidirect
21. #64083C22semidirect
22. C3×D4×Dic3C22semidirect
23. C2×C3×#213C22semidirect
25. C3×#893C22semidirect
29. C3×#874C22semidirect
30. C3×C4×D12C22semidirect
35. #63911C22semidirect
36. C2×#3714C22semidirect
37. C2×#3713C22semidirect
39. #63636C22semidirect
40. C4⋊(C3⋊(C3⋊C8))C22semidirect
41. C3×#809C22semidirect
42. C3×C4⋊(C3⋊C8)C22semidirect
43. Dic3⋊(C3⋊C8)C22semidirect
44. #63564C22semidirect
45. #63562C22semidirect
50. C4×D3×D4D3semidirect
62. #5015D3direct (N × H)
79. C3×D3×D4D4semidirect
135. C3×C4×D4C2×D3semidirect
136. C3×C4×D4C2×D3semidirect
143. D4×Dic3C2×D3semidirect
151. C2×#213C2×D3semidirect
157. #893C2×D3semidirect
167. #874C2×D3semidirect
168. C4×D12C2×D3semidirect
180. #809C2×D3semidirect
185. C4⋊(C3⋊C8)C2×D3semidirect
198. C32×D4C2×D4semidirect
219. C3×D12C2×D4semidirect
224. C3×C4×D3D8semidirect
278. D3×D4D12semidirect
367. C32×C4C2×D8semidirect
373. C3×Dic3C2×D8semidirect
395. C4×D4D32semidirect
441. C3×D4C2×D12semidirect
442. C3×D4D3×D4semidirect
499. D12C2×D12semidirect
504. C4×D3#213semidirect
519. C3×D3#459semidirect
623. C3×C4D3×D8semidirect
624. C3×C4C2×#213semidirect
632. Dic3C2×#213semidirect
633. C32C2×#459semidirect
660. D4D3×D12semidirect
700. D3#5015direct (N × H)
725. C4D3×#213semidirect
729. C3D3×#459semidirect
730. C3C2×#5015semidirect

Maximal subgroups

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

subgroupindex
C3×C4×D3×D42
C2×D3×#2132
D3×#8742
#105927142
C3×#50152
#105914812
D3×#8092
#105905472
#105903492
#105903472
D3×C4⋊(C3⋊C8)2
C2×#50153
D3×#4593