Finite Group Databasebeta

← D4×#6289 #13177374

Subgroups — D4×#6289 #13177374

Order 1728.

3500 conjugacy classes of subgroups.

The subgroup lattice has 606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×C3⋊(C3⋊D3)C211yesmaximal, characteristic
2C22×#6289C212yesmaximal, complemented
3C3×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C32×D4×Dic3C211yesmaximal, characteristic, complemented
5#11723627C212yesmaximal, complemented
6#11723622C212yesmaximal, complemented
7#11723618C212yesmaximal, complemented
8#11723503C211yesmaximal, characteristic, complemented
9#11723494C211yesmaximal, characteristic, complemented
10#11723484C211yesmaximal, characteristic, complemented
11C4×#6289C211yesmaximal, characteristic, complemented
12C4×D4×C3⋊D3—31nomaximal
13D4×#624—34nomaximal
14C23×C3⋊(C3⋊D3)C2212yes—
15C2×C33×D4C2211yescharacteristic
16C2×#6312C2212yes—
17D4×C3⋊(C3⋊D3)C418yescomplemented
18C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
19C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
20C22×C3×C3⋊Dic3C2212yescomplemented
21C22×C32×Dic3C2212yescomplemented
22C2×#6289—28no—
23C2×#6289C2212yes—
24C2×#6289C2211yescharacteristic
25C2×#6289C2211yescharacteristic
26C2×#6289C2212yescomplemented
27C2×#6289C2212yescomplemented
28C3×#3757C2212yescomplemented
29C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
30C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
31C32×#217C2212yescomplemented
32C32×C4⋊Dic3C2211yescharacteristic, complemented
33C32×C4×Dic3C2211yescharacteristic, complemented
34#88806C2212yescomplemented
35#88804C2212yescomplemented
36#88804C2212yescomplemented
37Dic3×C3⋊Dic3C2211yescharacteristic, complemented
38Dic3×C3⋊Dic3C2211yescharacteristic, complemented
39C2×D4×C3⋊D3—31no—
40C2×D4×C3⋊D3—34no—
41C2×D4×C3⋊D3—64no—
42C22×C4×C3⋊D3—32no—
43C22×#624—38no—
44C32×C4×D4—31no—
45D4×C3⋊Dic3D311yescharacteristic, complemented
46C4×#638—32no—
47#64102—31no—
48C4⋊C4×C3⋊D3—31no—
49#64090—32no—
50C22⋊C4×C3⋊D3—32no—
51C4×C4⋊(C3⋊D3)—31no—
52C42×C3⋊D3—31no—
53C3×D4×Dic3—34no—
54C3×D4×Dic3D314yescomplemented
55#63974—38no—
56#63952—38no—
57#63952—38no—
58#63900—34no—
59#63894—34no—
60#63894—34no—
61C4×#624—34no—
62C23×C33C2312yes—
63C22×C3⋊(C3⋊D3)—24no—
64C22×C3⋊(C3⋊D3)—24no—
65C22×C3⋊(C3⋊D3)C2×C418yescomplemented
66C22×C3⋊(C3⋊D3)C2312yes—
67C22×C3⋊(C3⋊D3)C2311yescharacteristic
68C33×D4C2×C414yescomplemented
69C2×C33×C4C2311yescharacteristic
70#6312C2×C418yescomplemented
71C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
72C4⋊(C3⋊(C3⋊D3))C2×C414yescomplemented
73C4×C3⋊(C3⋊D3)C2×C414yescomplemented
74C2×C3×C3⋊Dic3—24no—
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C2×C3×C3⋊Dic3C2312yes—
77C2×C3×C3⋊Dic3C2311yescharacteristic
78C2×C32×Dic3—24no—
79C2×C32×Dic3C2311yescharacteristic
80C2×C32×Dic3C2312yes—
81C2×C32×Dic3C2311yescharacteristic
82#6289—24no—
83#6289—22no—
84#6289—24no—
85#6289—24no—
86#6289D414yesdirect product factor
87C4×D3×D4—94no—
88C4×D3×D4—91no—
89C23×C3⋊D3—32no—
90C23×C3⋊D3—38no—
91C23×C3⋊D3—68no—
92C2×C32×D4—24no—
93C2×C32×D4C2×D314yes—
94C2×C32×D4C2×D311yescharacteristic
95C22×C32×C4—32no—
96C2×#638—32no—
97C2×#638—38no—
98C2×#638—68no—
99C22×C3⋊Dic3C2×D312yescomplemented
100D4×C3⋊D3—38no—
101D4×C3⋊D3—332no—
102D4×C3⋊D3—632no—
103C2×C4⋊(C3⋊D3)—31no—
104C2×C4⋊(C3⋊D3)—34no—
105C2×C4⋊(C3⋊D3)—64no—
106C2×C4×C3⋊D3—31no—
107C2×C4×C3⋊D3—34no—
108C2×C4×C3⋊D3—31no—
109C2×C4×C3⋊D3—31no—
110C2×C4×C3⋊D3—32no—
111C2×C4×C3⋊D3—32no—
112C2×C4×C3⋊D3—32no—
113C2×C4×C3⋊D3—68no—
114C2×C4×C3⋊D3—64no—
115C22×C3×Dic3—38no—
116C22×C3×Dic3C2×D318yescomplemented
117C2×#624—34no—
118C2×#624—38no—
119C2×#624—38no—
120C2×#624—38no—
121C2×#624—34no—
122C2×#624—632no—
123C32×C4⋊C4—31no—
124C32×C22⋊C4—32no—
125C32×C42—31no—
126#3757C2×D312yescomplemented
127#3752—32no—
128#3752—32no—
129C4⋊(C3⋊Dic3)C2×D311yescharacteristic, complemented
130#3750—32no—
131C4×C3⋊Dic3—31no—
132C4×C3⋊Dic3—31no—
133C4×C3⋊Dic3C2×D311yescharacteristic, complemented
134C3×#217—38no—
135C3×#217C2×D318yescomplemented
136C3×C4⋊Dic3—34no—
137C3×C4⋊Dic3C2×D314yescomplemented
138C3×C4×Dic3—34no—
139C3×C4×Dic3C2×D314yescomplemented
140#3724—38no—
141#3722—38no—
142#3722—38no—
143Dic32—34no—
144Dic32—34no—
145C22×C33—22no—
146C22×C33—22no—
147C22×C33C22×C414yescomplemented
148C22×C33C2411yescharacteristic
149C2×C3⋊(C3⋊D3)—22no—
150C2×C3⋊(C3⋊D3)—22no—
151C2×C3⋊(C3⋊D3)—216no—
152C2×C3⋊(C3⋊D3)C22×C412yes—
153C2×C3⋊(C3⋊D3)C22×C414yescomplemented
154C2×C3⋊(C3⋊D3)C2×D412yes—
155C2×C3⋊(C3⋊D3)#4112yes—
156C33×C4C22×C412yescomplemented
157C3⋊(C3⋊Dic3)C22×C412yescomplemented
158C3×C3⋊Dic3—22no—
159C3×C3⋊Dic3—21no—
160C3×C3⋊Dic3C2×D412yescomplemented
161C32×Dic3—22no—
162C32×Dic3—21no—
163C32×Dic3C2×D412yescomplemented
164C2×D3×D4—94no—
165C2×D3×D4—91no—
166C2×D3×D4—184no—
167C22×C4×D3—98no—
168C22×C4×D3—92no—
169C3×C4×D4—34no—
170C3×C4×D4—91no—
171D4×Dic3—34no—
172D4×Dic3C3⋊D311yescharacteristic, complemented
173C4×#67—98no—
174C4×#67—92no—
175#893—94no—
176#893—91no—
177D3×C4⋊C4—94no—
178D3×C4⋊C4—91no—
179#67⋊C4—98no—
180#67⋊C4—92no—
181D3×C22⋊C4—98no—
182D3×C22⋊C4—92no—
183C4×D12—94no—
184C4×D12—91no—
185C42×D3—94no—
186C42×D3—91no—
187C23×C32—28no—
188C23×C32C22×D318yes—
189C23×C32C22×D312yes—
190C22×C3⋊D3—31no—
191C22×C3⋊D3—38no—
192C22×C3⋊D3—32no—
193C22×C3⋊D3—34no—
194C22×C3⋊D3—332no—
195C22×C3⋊D3—38no—
196C22×C3⋊D3—64no—
197C22×C3⋊D3—632no—
198C22×C3⋊D3—68no—
199C22×C3⋊D3—64no—
200C22×C3⋊D3—64no—
201C22×C3⋊D3—616no—
202C22×C3⋊D3—616no—
203C22×C3⋊D3—1216no—
204C22×C3⋊D3—1216no—
205C32×D4—216no—
206C32×D4C4×D3116yescomplemented
207C32×D4C4×D314yescomplemented
208C2×C32×C4—24no—
209C2×C32×C4—31no—
210C2×C32×C4—31no—
211C2×C32×C4—32no—
212C2×C32×C4—64no—
213C2×C32×C4C22×D314yes—
214C2×C32×C4C22×D311yescharacteristic
215#638—38no—
216#638—332no—
217#638—632no—
218C2×C3⋊Dic3—24no—
219C2×C3⋊Dic3—31no—
220C2×C3⋊Dic3—34no—
221C2×C3⋊Dic3—64no—
222C2×C3⋊Dic3C22×D311yescharacteristic
223C2×C3⋊Dic3C22×D312yes—
224C2×C3⋊Dic3C22×D311yescharacteristic
225C4⋊(C3⋊D3)—34no—
226C4⋊(C3⋊D3)—316no—
227C4⋊(C3⋊D3)—616no—
228C4×C3⋊D3—34no—
229C4×C3⋊D3—34no—
230C4×C3⋊D3—316no—
231C4×C3⋊D3—616no—
232C4×C3⋊D3—64no—
233C4×C3⋊D3—62no—
234C4×C3⋊D3—64no—
235C4×C3⋊D3—64no—
236C2×C3×Dic3—216no—
237C2×C3×Dic3—34no—
238C2×C3×Dic3—34no—
239C2×C3×Dic3—38no—
240C2×C3×Dic3—616no—
241C2×C3×Dic3C22×D314yes—
242C2×C3×Dic3C22×D318yes—
243C2×C3×Dic3C22×D314yes—
244#624—316no—
245#624—616no—
246#624—68no—
247#624—616no—
248#624—616no—
249C2×C4×D4—271noSylow
250C2×C33—24no—
251C2×C33C23×C411yescharacteristic
252C2×C33C22×D411yescharacteristic
253C2×C33C2×#4111yescharacteristic
254C3⋊(C3⋊D3)—24no—
255C3⋊(C3⋊D3)C4×D414yescomplemented
256C23×D3—98no—
257C23×D3—92no—
258C23×D3—188no—
259C2×C3×D4—24no—
260C2×C3×D4D3214yes—
261C2×C3×D4C2×C3⋊D311yescharacteristic
262C22×C3×C4—38no—
263C22×C3×C4—92no—
264C2×#67—98no—
265C2×#67—92no—
266C2×#67—188no—
267C22×Dic3—38no—
268C22×Dic3C2×C3⋊D312yescomplemented
269D3×D4—932no—
270D3×D4—98no—
271D3×D4—1832no—
272C2×D12—94no—
273C2×D12—91no—
274C2×D12—184no—
275C2×C4×D3—94no—
276C2×C4×D3—94no—
277C2×C4×D3—91no—
278C2×C4×D3—91no—
279C2×C4×D3—94no—
280C2×C4×D3—98no—
281C2×C4×D3—98no—
282C2×C4×D3—98no—
283C2×C4×D3—91no—
284C2×C4×D3—92no—
285C2×C4×D3—92no—
286C2×C4×D3—92no—
287C2×C4×D3—184no—
288C2×C4×D3—188no—
289C2×C4×D3—1832no—
290C3×C4⋊C4—34no—
291C3×C4⋊C4—91no—
292C3×C22⋊C4—38no—
293C3×C22⋊C4—92no—
294C3×C42—34no—
295C3×C42—91no—
296#217—38no—
297#217C2×C3⋊D312yescomplemented
298(C2×D3)⋊C4—98no—
299(C2×D3)⋊C4—98no—
300(C2×D3)⋊C4—92no—
301(C2×D3)⋊C4—92no—
302C4⋊Dic3—34no—
303C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
304Dic3⋊C4—98no—
305Dic3⋊C4—92no—
306C4×Dic3—34no—
307C4×Dic3—94no—
308C4×Dic3—94no—
309C4×Dic3—91no—
310C4×Dic3—91no—
311C4×Dic3C2×C3⋊D311yescharacteristic, complemented
312C22×C32—22no—
313C22×C32—22no—
314C22×C32—24no—
315C22×C32—216no—
316C22×C32—28no—
317C22×C32—28no—
318C22×C32—48no—
319C22×C32—48no—
320C22×C32C2×C4×D3116yescomplemented
321C22×C32C2×C4×D314yescomplemented
322C22×C32C23×D314yes—
323C22×C32C23×D311yescharacteristic
324C2×C3⋊D3—32no—
325C2×C3⋊D3—32no—
326C2×C3⋊D3—32no—
327C2×C3⋊D3—34no—
328C2×C3⋊D3—38no—
329C2×C3⋊D3—38no—
330C2×C3⋊D3—38no—
331C2×C3⋊D3—316no—
332C2×C3⋊D3—68no—
333C2×C3⋊D3—68no—
334C2×C3⋊D3—68no—
335C2×C3⋊D3—616no—
336C2×C3⋊D3—616no—
337C2×C3⋊D3—62no—
338C2×C3⋊D3—62no—
339C2×C3⋊D3—664no—
340C2×C3⋊D3—68no—
341C2×C3⋊D3—68no—
342C2×C3⋊D3—1264no—
343C2×C3⋊D3—128no—
344C2×C3⋊D3—128no—
345C32×C4—28no—
346C32×C4—32no—
347C32×C4—62no—
348C32×C4—61no—
349C32×C4C2×C4×D318yescomplemented
350C32×C4C2×C4×D312yescomplemented
351C3⋊Dic3—22no—
352C3⋊Dic3—21no—
353C3⋊Dic3—32no—
354C3⋊Dic3—38no—
355C3⋊Dic3—68no—
356C3⋊Dic3D3×D412yescomplemented
357C3×Dic3—28no—
358C3×Dic3—24no—
359C3×Dic3—38no—
360C3×Dic3—68no—
361C3×Dic3—64no—
362C3×Dic3D3×D418yescomplemented
363C22×D4—271no—
364C23×C4—272no—
365C4×D4—31no—
366C4×D4—91no—
367C4×D4—271no—
368C4×D4—271no—
369C4×D4—272no—
370C4×D4—272no—
371C2×C4⋊C4—271no—
372C2×C22⋊C4—272no—
373C2×C42—271no—
374C33C2×C4×D411yescharacteristic, complemented, Sylow
375C23×C3—28no—
376C23×C3C2×D3218yes—
377C23×C3C22×C3⋊D312yes—
378C22×D3—94no—
379C22×D3—91no—
380C22×D3—98no—
381C22×D3—92no—
382C22×D3—932no—
383C22×D3—98no—
384C22×D3—184no—
385C22×D3—188no—
386C22×D3—1832no—
387C22×D3—184no—
388C22×D3—184no—
389C22×D3—1816no—
390C22×D3—1816no—
391C22×D3—3616no—
392C22×D3—3616no—
393C3×D4—216no—
394C3×D4#624116yescomplemented
395C3×D4C4×C3⋊D314yescomplemented
396C2×C3×C4—24no—
397C2×C3×C4—34no—
398C2×C3×C4—34no—
399C2×C3×C4—38no—
400C2×C3×C4—616no—
401C2×C3×C4—91no—
402C2×C3×C4—91no—
403C2×C3×C4—92no—
404C2×C3×C4—184no—
405C2×C3×C4C2×D3214yes—
406C2×C3×C4C22×C3⋊D311yescharacteristic
407#67—932no—
408#67—98no—
409#67—1832no—
410C2×Dic3—24no—
411C2×Dic3—34no—
412C2×Dic3—34no—
413C2×Dic3—38no—
414C2×Dic3—616no—
415C2×Dic3—94no—
416C2×Dic3—91no—
417C2×Dic3—184no—
418C2×Dic3C22×C3⋊D311yescharacteristic
419C2×Dic3C22×C3⋊D312yes—
420C2×Dic3C22×C3⋊D311yescharacteristic
421D12—916no—
422D12—94no—
423D12—1816no—
424C4×D3—916no—
425C4×D3—916no—
426C4×D3—94no—
427C4×D3—94no—
428C4×D3—1816no—
429C4×D3—184no—
430C4×D3—182no—
431C4×D3—184no—
432C4×D3—1816no—
433C4×D3—1816no—
434C4×D3—188no—
435C4×D3—1816no—
436C4×D3—184no—
437C2×C32—24no—
438C2×C32—24no—
439C2×C32—24no—
440C2×C32—24no—
441C2×C32—216no—
442C2×C32—416no—
443C2×C32C22×C4×D314yes—
444C2×C32C22×C4×D311yescharacteristic
445C2×C32C2×D3×D414yes—
446C2×C32C2×D3×D411yescharacteristic
447C2×C32D3×#4114yes—
448C2×C32D3×#4111yescharacteristic
449C3⋊D3—34no—
450C3⋊D3—316no—
451C3⋊D3—616no—
452C3⋊D3—64no—
453C3⋊D3—616no—
454C3⋊D3—1216no—
455C24—272no—
456C2×D4—272no—
457C2×D4—278no—
458C2×D4—271no—
459C2×D4D3×C3⋊D311yescharacteristic
460C22×C4—32no—
461C22×C4—92no—
462C22×C4—271no—
463C22×C4—271no—
464C22×C4—272no—
465C22×C4—272no—
466C22×C4—272no—
467C22×C4—271no—
468C22×C4—548no—
469C4⋊C4—31no—
470C4⋊C4—91no—
471C4⋊C4—272no—
472C22⋊C4—32no—
473C22⋊C4—92no—
474C22⋊C4—272no—
475C22⋊C4—272no—
476C42—31no—
477C42—91no—
478C42—271no—
479C42—271no—
480C22×C3—28no—
481C22×C3—28no—
482C22×C3—22no—
483C22×C3—22no—
484C22×C3—24no—
485C22×C3—216no—
486C22×C3—48no—
487C22×C3—48no—
488C22×C3C2×#624116yescomplemented
489C22×C3C2×C4×C3⋊D314yescomplemented
490C22×C3C22×D3214yes—
491C22×C3C23×C3⋊D311yescharacteristic
492C2×D3—98no—
493C2×D3—98no—
494C2×D3—98no—
495C2×D3—92no—
496C2×D3—92no—
497C2×D3—92no—
498C2×D3—916no—
499C2×D3—94no—
500C2×D3—188no—
501C2×D3—188no—
502C2×D3—188no—
503C2×D3—1816no—
504C2×D3—1816no—
505C2×D3—1864no—
506C2×D3—188no—
507C2×D3—188no—
508C2×D3—182no—
509C2×D3—182no—
510C2×D3—3664no—
511C2×D3—368no—
512C2×D3—368no—
513C3×C4—28no—
514C3×C4—38no—
515C3×C4—68no—
516C3×C4—64no—
517C3×C4—92no—
518C3×C4—182no—
519C3×C4—181no—
520C3×C4C2×#62418yescomplemented
521C3×C4C2×C4×C3⋊D312yescomplemented
522Dic3—22no—
523Dic3—21no—
524Dic3—38no—
525Dic3—68no—
526Dic3—64no—
527Dic3—98no—
528Dic3—92no—
529Dic3—188no—
530Dic3D4×C3⋊D312yescomplemented
531C32—24no—
532C32C4×D3×D414yescomplemented
533C32C4×D3×D411yescharacteristic, complemented
534C23—271no—
535C23—272no—
536C23—278no—
537C23—544no—
538C23—544no—
539C23C2×D3×C3⋊D312yes—
540D4—278no—
541D4—274no—
542D4#628914yesdirect product factor
543C2×C4—31no—
544C2×C4—31no—
545C2×C4—32no—
546C2×C4—64no—
547C2×C4—91no—
548C2×C4—91no—
549C2×C4—92no—
550C2×C4—184no—
551C2×C4—274no—
552C2×C4—271no—
553C2×C4—274no—
554C2×C4—544no—
555C2×C4—544no—
556C2×C4—544no—
557C2×C4—542no—
558C2×C4C2×D3×C3⋊D311yescharacteristic
559C2×C3—216no—
560C2×C3—24no—
561C2×C3—24no—
562C2×C3—24no—
563C2×C3—24no—
564C2×C3—416no—
565C2×C3D32×D414yes—
566C2×C3#6431214yes—
567C2×C3C22×#62414yes—
568C2×C3C22×C4×C3⋊D311yescharacteristic
569C2×C3C2×D4×C3⋊D311yescharacteristic
570C2×C3#41×C3⋊D311yescharacteristic
571D3—916no—
572D3—94no—
573D3—1816no—
574D3—1816no—
575D3—184no—
576D3—3616no—
577C22—22no—
578C22—22no—
579C22—272no—
580C22—272no—
581C22—272no—
582C22—274no—
583C22—5416no—
584C22—542no—
585C22—542no—
586C22C2×#628914yescomplemented
587C22C22×D3×C3⋊D311yescharacteristic
588C4—32no—
589C4—62no—
590C4—61no—
591C4—92no—
592C4—182no—
593C4—181no—
594C4—272no—
595C4C2×#628912yescomplemented
596C3—24no—
597C3D4×#62414yescomplemented
598C3C4×D4×C3⋊D311yescharacteristic, complemented
599C2—24no—
600C2—274no—
601C2—544no—
602C2D3×D4×C3⋊D311yescharacteristic
603C2#1172458611yescharacteristic
604C2C22×#628911yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutatorC2×C33C23×C4
FittingC2×C33×D4C22
socle, cosocleC22×C33C24
prime radicalC2×D4×C3⋊(C3⋊D3)C2
hypercenterC2×D4D3×C3⋊D3
hypocenterC33C2×C4×D4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
2. C22×#6289C2semidirect
3. C3×D4×C3⋊Dic3C2semidirect
4. C32×D4×Dic3C2semidirect
5. #11723627C2semidirect
6. #11723622C2semidirect
7. #11723618C2semidirect
8. #11723503C2semidirect
9. #11723494C2semidirect
10. #11723484C2semidirect
11. C4×#6289C2semidirect
17. D4×C3⋊(C3⋊D3)C4semidirect
20. C22×C3×C3⋊Dic3C22semidirect
21. C22×C32×Dic3C22semidirect
26. C2×#6289C22semidirect
27. C2×#6289C22semidirect
28. C3×#3757C22semidirect
29. C3×C4⋊(C3⋊Dic3)C22semidirect
30. C3×C4×C3⋊Dic3C22semidirect
31. C32×#217C22semidirect
32. C32×C4⋊Dic3C22semidirect
33. C32×C4×Dic3C22semidirect
34. #88806C22semidirect
35. #88804C22semidirect
36. #88804C22semidirect
37. Dic3×C3⋊Dic3C22semidirect
38. Dic3×C3⋊Dic3C22semidirect
45. D4×C3⋊Dic3D3semidirect
54. C3×D4×Dic3D3semidirect
65. C22×C3⋊(C3⋊D3)C2×C4semidirect
68. C33×D4C2×C4semidirect
70. #6312C2×C4semidirect
72. C4⋊(C3⋊(C3⋊D3))C2×C4semidirect
73. C4×C3⋊(C3⋊D3)C2×C4semidirect
86. #6289D4direct (N × H)
99. C22×C3⋊Dic3C2×D3semidirect
116. C22×C3×Dic3C2×D3semidirect
126. #3757C2×D3semidirect
129. C4⋊(C3⋊Dic3)C2×D3semidirect
133. C4×C3⋊Dic3C2×D3semidirect
135. C3×#217C2×D3semidirect
137. C3×C4⋊Dic3C2×D3semidirect
139. C3×C4×Dic3C2×D3semidirect
147. C22×C33C22×C4semidirect
153. C2×C3⋊(C3⋊D3)C22×C4semidirect
156. C33×C4C22×C4semidirect
157. C3⋊(C3⋊Dic3)C22×C4semidirect
160. C3×C3⋊Dic3C2×D4semidirect
163. C32×Dic3C2×D4semidirect
172. D4×Dic3C3⋊D3semidirect
206. C32×D4C4×D3semidirect
207. C32×D4C4×D3semidirect
255. C3⋊(C3⋊D3)C4×D4semidirect
268. C22×Dic3C2×C3⋊D3semidirect
297. #217C2×C3⋊D3semidirect
303. C4⋊Dic3C2×C3⋊D3semidirect
311. C4×Dic3C2×C3⋊D3semidirect
320. C22×C32C2×C4×D3semidirect
321. C22×C32C2×C4×D3semidirect
349. C32×C4C2×C4×D3semidirect
350. C32×C4C2×C4×D3semidirect
356. C3⋊Dic3D3×D4semidirect
362. C3×Dic3D3×D4semidirect
374. C33C2×C4×D4semidirect
394. C3×D4#624semidirect
395. C3×D4C4×C3⋊D3semidirect
488. C22×C3C2×#624semidirect
489. C22×C3C2×C4×C3⋊D3semidirect
520. C3×C4C2×#624semidirect
521. C3×C4C2×C4×C3⋊D3semidirect
530. Dic3D4×C3⋊D3semidirect
532. C32C4×D3×D4semidirect
533. C32C4×D3×D4semidirect
542. D4#6289direct (N × H)
586. C22C2×#6289semidirect
595. C4C2×#6289semidirect
597. C3D4×#624semidirect
598. C3C4×D4×C3⋊D3semidirect

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
C22×#62892
C3×D4×C3⋊Dic32
C32×D4×Dic32
#117236272
#117236222
#117236182
#117235032
#117234942
#117234842
C4×#62892
C4×D4×C3⋊D33
D4×#6243