Finite Group Databasebeta

← #13176528

Subgroups — #13176528

Order 1728.

2924 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#89026C211yesmaximal, characteristic
2C2×C4×D3×C3⋊D3C212yesmaximal, complemented
3C4⋊C4×C3⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
4C3×#64102C211yesmaximal, characteristic, complemented
5C32×#893C211yesmaximal, characteristic, complemented
6#11723539C212yesmaximal, complemented
7#11723507C212yesmaximal, complemented
8#11723506C212yesmaximal, complemented
9D12×C3⋊Dic3C211yesmaximal, characteristic, complemented
10Dic3×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
11C4×#6289C211yesmaximal, characteristic, complemented
12C4×D4×C3⋊D3—31nomaximal
13#10594605—34nomaximal
14C22×D3×C3⋊D3C2212yes—
15C2×C4×C3⋊(C3⋊D3)C2212yes—
16C2×C4×C3⋊(C3⋊D3)C2211yescharacteristic
17C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
18C2×C3×C4×C3⋊D3C2212yescomplemented
19C2×C32×D12C2211yescharacteristic
20C2×C32×C4×D3C2212yescomplemented
21C2×#6290C2212yes—
22C2×#6289C2211yescharacteristic
23C2×#6289C2211yescharacteristic
24C2×Dic3×C3⋊D3C2212yescomplemented
25C2×D3×C3⋊Dic3C2212yescomplemented
26#89026C418yescomplemented
27C4×D3×C3⋊D3—28no—
28C33×C4⋊C4C2211yescharacteristic, complemented
29C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic, complemented
30#88857C2212yescomplemented
31C3×#3752C2212yescomplemented
32C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
33C32×(C2×D3)⋊C4C2212yescomplemented
34C32×C4×Dic3C2211yescharacteristic, complemented
35#88803C2212yescomplemented
36(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
37Dic3×C3⋊Dic3C2211yescharacteristic, complemented
38Dic3×C3⋊Dic3C2211yescharacteristic, complemented
39C2×D4×C3⋊D3—31no—
40C22×C4×C3⋊D3—32no—
41C2×#3802—34no—
42C2×C4×D32—38no—
43C32×C4×D4—31no—
44D4×C3⋊Dic3—31no—
45C4×#638—32no—
46#64102D311yescharacteristic, complemented
47C4⋊C4×C3⋊D3—31no—
48C4⋊C4×C3⋊D3—34no—
49C4⋊C4×C3⋊D3—64no—
50#64090—32no—
51C22⋊C4×C3⋊D3—32no—
52C4×C4⋊(C3⋊D3)—31no—
53C42×C3⋊D3—31no—
54C3×#893—34no—
55C3×#893D314yescomplemented
56#63921—38no—
57Dic3×D12—34no—
58Dic3×D12—34no—
59C4×#624—34no—
60#63879—38no—
61#63879—38no—
62C22×C3⋊(C3⋊D3)C2311yescharacteristic
63C22×C3×C3⋊D3C2312yes—
64C22×C32×D3C2312yes—
65C2×D3×C3⋊D3—24no—
66C2×D3×C3⋊D3—24no—
67C2×D3×C3⋊D3C2×C418yescomplemented
68C2×C33×C4C2312yes—
69C2×C33×C4C2311yescharacteristic
70C2×C3⋊(C3⋊Dic3)C2312yes—
71C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
72C4×C3⋊(C3⋊D3)—24no—
73C4×C3⋊(C3⋊D3)C2×C414yescomplemented
74C2×C3×C3⋊Dic3C2311yescharacteristic
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C3×C4⋊(C3⋊D3)C2×C414yescomplemented
77C3×C4×C3⋊D3—24no—
78C2×C32×Dic3C2311yescharacteristic
79C2×C32×Dic3C2311yescharacteristic
80C32×D12C2×C414yescomplemented
81C32×C4×D3—24no—
82#6290C2×C418yescomplemented
83#6289—22no—
84#6289D414yescomplemented
85Dic3×C3⋊D3—24no—
86D3×C3⋊Dic3—24no—
87C4×D3×D4—94no—
88C4×D3×D4—91no—
89C23×C3⋊D3—32no—
90C22×D32—38no—
91C2×C32×D4—31no—
92C22×C32×C4—32no—
93C2×#638—32no—
94C22×C3⋊Dic3—32no—
95D4×C3⋊D3—38no—
96C2×C4⋊(C3⋊D3)C2×D311yescharacteristic
97C2×C4×C3⋊D3—31no—
98C2×C4×C3⋊D3—34no—
99C2×C4×C3⋊D3—31no—
100C2×C4×C3⋊D3—32no—
101C2×C4×C3⋊D3—32no—
102C2×C4×C3⋊D3—38no—
103C2×C4×C3⋊D3—31no—
104C2×C4×C3⋊D3—68no—
105C2×C4×C3⋊D3—64no—
106C2×C4×C3⋊D3—68no—
107C2×C4×C3⋊D3C2×D312yescomplemented
108C2×C3×D12—34no—
109C2×C3×D12C2×D314yes—
110C2×C3×C4×D3—38no—
111C2×C3×C4×D3C2×D318yescomplemented
112C2×#625—38no—
113C2×#624—34no—
114C2×#624—34no—
115C2×D3×Dic3—38no—
116C2×D3×Dic3—38no—
117#3802—332no—
118C4×D32—632no—
119C32×C4⋊C4—24no—
120C32×C4⋊C4C2×D314yescomplemented
121C32×C4⋊C4C2×D311yescharacteristic, complemented
122C32×C22⋊C4—32no—
123C32×C42—31no—
124#3757—32no—
125#3752—32no—
126#3752C2×D312yescomplemented
127C4⋊(C3⋊Dic3)—31no—
128C4⋊(C3⋊Dic3)—34no—
129C4⋊(C3⋊Dic3)—64no—
130#3750—32no—
131#3750—38no—
132#3750—68no—
133C4×C3⋊Dic3—31no—
134C4×C3⋊Dic3—31no—
135C4×C3⋊Dic3C2×D311yescharacteristic, complemented
136C3×(C2×D3)⋊C4—38no—
137C3×(C2×D3)⋊C4C2×D318yescomplemented
138C3×C4×Dic3—34no—
139C3×C4×Dic3C2×D314yescomplemented
140(C2×D3)⋊Dic3—38no—
141(C2×D3)⋊Dic3—38no—
142Dic32—34no—
143Dic32—34no—
144C22×C33C2411yescharacteristic
145C2×C3⋊(C3⋊D3)C22×C412yes—
146C2×C3⋊(C3⋊D3)C2×D412yes—
147C2×C3⋊(C3⋊D3)#4112yes—
148C2×C3×C3⋊D3—22no—
149C2×C3×C3⋊D3—22no—
150C2×C3×C3⋊D3C22×C414yescomplemented
151C2×C32×D3—22no—
152C2×C32×D3—22no—
153C2×C32×D3C22×C414yescomplemented
154D3×C3⋊D3—216no—
155C33×C4—22no—
156C33×C4C22×C412yescomplemented
157C3⋊(C3⋊Dic3)—22no—
158C3⋊(C3⋊Dic3)C22×C412yescomplemented
159C3×C3⋊Dic3—21no—
160C3×C3⋊Dic3C2×D412yescomplemented
161C32×Dic3—21no—
162C32×Dic3C2×D412yescomplemented
163C2×D3×D4—94no—
164C2×D3×D4—91no—
165C22×C4×D3—98no—
166C22×C4×D3—92no—
167C3×C4×D4—34no—
168C3×C4×D4—91no—
169D4×Dic3—94no—
170D4×Dic3—91no—
171C4×#67—98no—
172C4×#67—92no—
173#893—34no—
174#893C3⋊D311yescharacteristic, complemented
175D3×C4⋊C4—94no—
176D3×C4⋊C4—91no—
177D3×C4⋊C4—184no—
178#67⋊C4—98no—
179#67⋊C4—92no—
180D3×C22⋊C4—98no—
181D3×C22⋊C4—92no—
182C4×D12—94no—
183C4×D12—91no—
184C42×D3—94no—
185C42×D3—91no—
186C23×C32—32no—
187C22×C3⋊D3—31no—
188C22×C3⋊D3—38no—
189C22×C3⋊D3—34no—
190C22×C3⋊D3—64no—
191C22×C3⋊D3—64no—
192C22×C3⋊D3—64no—
193C22×C3⋊D3C22×D312yes—
194C22×C3×D3—38no—
195C22×C3×D3C22×D318yes—
196C2×D32—332no—
197C2×D32—616no—
198C2×D32—616no—
199C32×D4—34no—
200C2×C32×C4—24no—
201C2×C32×C4—28no—
202C2×C32×C4—31no—
203C2×C32×C4—31no—
204C2×C32×C4—64no—
205C2×C32×C4C22×D318yes—
206C2×C32×C4C22×D314yes—
207C2×C32×C4C22×D312yes—
208C2×C32×C4C22×D311yescharacteristic
209#638—38no—
210C2×C3⋊Dic3—31no—
211C2×C3⋊Dic3—32no—
212C2×C3⋊Dic3—34no—
213C2×C3⋊Dic3—38no—
214C2×C3⋊Dic3—64no—
215C2×C3⋊Dic3—68no—
216C2×C3⋊Dic3—64no—
217C2×C3⋊Dic3C22×D311yescharacteristic
218C2×C3⋊Dic3C22×D311yescharacteristic
219C4⋊(C3⋊D3)C4×D314yescomplemented
220C4×C3⋊D3—24no—
221C4×C3⋊D3—34no—
222C4×C3⋊D3—34no—
223C4×C3⋊D3—316no—
224C4×C3⋊D3—616no—
225C4×C3⋊D3—62no—
226C4×C3⋊D3—64no—
227C4×C3⋊D3—64no—
228C4×C3⋊D3—616no—
229C4×C3⋊D3—1216no—
230C2×C3×Dic3—34no—
231C2×C3×Dic3—34no—
232C2×C3×Dic3C22×D314yes—
233C2×C3×Dic3C22×D314yes—
234C3×D12—316no—
235C3×D12C4×D3116yescomplemented
236C3×C4×D3—216no—
237C3×C4×D3—616no—
238#625—332no—
239#624—316no—
240#624—68no—
241D3×Dic3—616no—
242D3×Dic3—616no—
243C2×C4×D4—271noSylow
244C2×C33C23×C411yescharacteristic
245C2×C33C22×D411yescharacteristic
246C2×C33C2×#4111yescharacteristic
247C3⋊(C3⋊D3)C4×D414yescomplemented
248C3×C3⋊D3—24no—
249C32×D3—24no—
250C23×D3—98no—
251C23×D3—92no—
252C2×C3×D4—34no—
253C2×C3×D4—91no—
254C22×C3×C4—38no—
255C22×C3×C4—92no—
256C2×#67—98no—
257C2×#67—92no—
258C22×Dic3—98no—
259C22×Dic3—92no—
260D3×D4—932no—
261D3×D4—98no—
262C2×D12—34no—
263C2×D12C2×C3⋊D311yescharacteristic
264C2×C4×D3—38no—
265C2×C4×D3—94no—
266C2×C4×D3—94no—
267C2×C4×D3—91no—
268C2×C4×D3—91no—
269C2×C4×D3—94no—
270C2×C4×D3—98no—
271C2×C4×D3—92no—
272C2×C4×D3—98no—
273C2×C4×D3—92no—
274C2×C4×D3—91no—
275C2×C4×D3—184no—
276C2×C4×D3—188no—
277C2×C4×D3—188no—
278C2×C4×D3—1832no—
279C2×C4×D3C2×C3⋊D312yescomplemented
280C3×C4⋊C4—24no—
281C3×C4⋊C4D3214yescomplemented
282C3×C4⋊C4C2×C3⋊D311yescharacteristic, complemented
283C3×C22⋊C4—38no—
284C3×C22⋊C4—92no—
285C3×C42—34no—
286C3×C42—91no—
287#217—98no—
288#217—92no—
289(C2×D3)⋊C4—38no—
290(C2×D3)⋊C4—98no—
291(C2×D3)⋊C4—92no—
292(C2×D3)⋊C4C2×C3⋊D312yescomplemented
293C4⋊Dic3—94no—
294C4⋊Dic3—91no—
295C4⋊Dic3—184no—
296Dic3⋊C4—98no—
297Dic3⋊C4—92no—
298Dic3⋊C4—188no—
299C4×Dic3—34no—
300C4×Dic3—94no—
301C4×Dic3—94no—
302C4×Dic3—91no—
303C4×Dic3—91no—
304C4×Dic3C2×C3⋊D311yescharacteristic, complemented
305C22×C32—24no—
306C22×C32—34no—
307C22×C32—62no—
308C22×C32—62no—
309C22×C32C23×D314yes—
310C22×C32C23×D311yescharacteristic
311C2×C3⋊D3—22no—
312C2×C3⋊D3—22no—
313C2×C3⋊D3—32no—
314C2×C3⋊D3—32no—
315C2×C3⋊D3—32no—
316C2×C3⋊D3—38no—
317C2×C3⋊D3—38no—
318C2×C3⋊D3—38no—
319C2×C3⋊D3—68no—
320C2×C3⋊D3—68no—
321C2×C3⋊D3—68no—
322C2×C3⋊D3—616no—
323C2×C3⋊D3C2×C4×D314yescomplemented
324C2×C3×D3—28no—
325C2×C3×D3—28no—
326C2×C3×D3—316no—
327C2×C3×D3—68no—
328C2×C3×D3—68no—
329C2×C3×D3C2×C4×D3116yescomplemented
330D32—664no—
331C32×C4—22no—
332C32×C4—28no—
333C32×C4—28no—
334C32×C4—32no—
335C32×C4—48no—
336C32×C4—61no—
337C32×C4C2×C4×D318yescomplemented
338C32×C4C2×C4×D312yescomplemented
339C3⋊Dic3—21no—
340C3⋊Dic3—32no—
341C3⋊Dic3—38no—
342C3⋊Dic3—68no—
343C3⋊Dic3—62no—
344C3⋊Dic3—68no—
345C3⋊Dic3—128no—
346C3⋊Dic3D3×D412yescomplemented
347C3×Dic3—24no—
348C3×Dic3—38no—
349C3×Dic3—64no—
350C3×Dic3D3×D418yescomplemented
351C22×D4—271no—
352C23×C4—272no—
353C4×D4—31no—
354C4×D4—91no—
355C4×D4—271no—
356C4×D4—271no—
357C4×D4—272no—
358C4×D4—272no—
359C2×C4⋊C4—271no—
360C2×C22⋊C4—272no—
361C2×C42—271no—
362C33C2×C4×D411yescharacteristic, complemented, Sylow
363C23×C3—38no—
364C23×C3—92no—
365C22×D3—38no—
366C22×D3—932no—
367C22×D3—94no—
368C22×D3—91no—
369C22×D3—98no—
370C22×D3—184no—
371C22×D3—184no—
372C22×D3—184no—
373C22×D3—1816no—
374C22×D3—1816no—
375C22×D3C22×C3⋊D312yes—
376C3×D4—316no—
377C3×D4—94no—
378C2×C3×C4—24no—
379C2×C3×C4—28no—
380C2×C3×C4—34no—
381C2×C3×C4—34no—
382C2×C3×C4—616no—
383C2×C3×C4—91no—
384C2×C3×C4—91no—
385C2×C3×C4—184no—
386C2×C3×C4C2×D3218yes—
387C2×C3×C4C2×D3214yes—
388C2×C3×C4C22×C3⋊D312yes—
389C2×C3×C4C22×C3⋊D311yescharacteristic
390#67—932no—
391#67—98no—
392C2×Dic3—34no—
393C2×Dic3—34no—
394C2×Dic3—94no—
395C2×Dic3—91no—
396C2×Dic3—98no—
397C2×Dic3—92no—
398C2×Dic3—184no—
399C2×Dic3—188no—
400C2×Dic3—1816no—
401C2×Dic3—184no—
402C2×Dic3C22×C3⋊D311yescharacteristic
403C2×Dic3C22×C3⋊D311yescharacteristic
404D12—316no—
405D12C4×C3⋊D314yescomplemented
406C4×D3—24no—
407C4×D3—616no—
408C4×D3—916no—
409C4×D3—916no—
410C4×D3—94no—
411C4×D3—94no—
412C4×D3—1816no—
413C4×D3—182no—
414C4×D3—188no—
415C4×D3—184no—
416C4×D3—1816no—
417C4×D3—1816no—
418C4×D3—184no—
419C4×D3—3616no—
420C2×C32—24no—
421C2×C32—24no—
422C2×C32—24no—
423C2×C32—64no—
424C2×C32C22×C4×D314yes—
425C2×C32C22×C4×D311yescharacteristic
426C2×C32C2×D3×D414yes—
427C2×C32C2×D3×D411yescharacteristic
428C2×C32D3×#4114yes—
429C2×C32D3×#4111yescharacteristic
430C3⋊D3—24no—
431C3⋊D3—34no—
432C3⋊D3—316no—
433C3⋊D3—616no—
434C3×D3—216no—
435C3×D3—616no—
436C24—272no—
437C2×D4—31no—
438C2×D4—91no—
439C2×D4—278no—
440C2×D4—272no—
441C22×C4—32no—
442C22×C4—92no—
443C22×C4—271no—
444C22×C4—271no—
445C22×C4—272no—
446C22×C4—272no—
447C22×C4—271no—
448C22×C4—272no—
449C22×C4—548no—
450C4⋊C4—272no—
451C4⋊C4—271no—
452C4⋊C4D3×C3⋊D311yescharacteristic, complemented
453C22⋊C4—32no—
454C22⋊C4—92no—
455C22⋊C4—272no—
456C22⋊C4—272no—
457C42—31no—
458C42—91no—
459C42—271no—
460C42—271no—
461C22×C3—24no—
462C22×C3—316no—
463C22×C3—68no—
464C22×C3—68no—
465C22×C3—94no—
466C22×C3—182no—
467C22×C3—182no—
468C22×C3C22×D3214yes—
469C22×C3C23×C3⋊D311yescharacteristic
470C2×D3—22no—
471C2×D3—22no—
472C2×D3—316no—
473C2×D3—68no—
474C2×D3—68no—
475C2×D3—98no—
476C2×D3—98no—
477C2×D3—98no—
478C2×D3—92no—
479C2×D3—92no—
480C2×D3—92no—
481C2×D3—188no—
482C2×D3—188no—
483C2×D3—188no—
484C2×D3—1816no—
485C2×D3—1864no—
486C2×D3C2×C4×C3⋊D314yescomplemented
487C3×C4—28no—
488C3×C4—22no—
489C3×C4—28no—
490C3×C4—38no—
491C3×C4—48no—
492C3×C4—64no—
493C3×C4—92no—
494C3×C4—181no—
495C3×C4C4×D3218yescomplemented
496C3×C4C2×C4×C3⋊D312yescomplemented
497Dic3—21no—
498Dic3—38no—
499Dic3—64no—
500Dic3—98no—
501Dic3—92no—
502Dic3—188no—
503Dic3—188no—
504Dic3—182no—
505Dic3—368no—
506Dic3D4×C3⋊D312yescomplemented
507C32—24no—
508C32C4×D3×D414yescomplemented
509C32C4×D3×D411yescharacteristic, complemented
510C23—32no—
511C23—92no—
512C23—278no—
513C23—271no—
514C23—544no—
515C23—544no—
516D4—34no—
517D4—94no—
518D4—278no—
519C2×C4—31no—
520C2×C4—31no—
521C2×C4—64no—
522C2×C4—91no—
523C2×C4—91no—
524C2×C4—184no—
525C2×C4—274no—
526C2×C4—271no—
527C2×C4—274no—
528C2×C4—272no—
529C2×C4—544no—
530C2×C4—544no—
531C2×C4—542no—
532C2×C4—544no—
533C2×C4C2×D3×C3⋊D312yes—
534C2×C4C2×D3×C3⋊D311yescharacteristic
535C2×C3—24no—
536C2×C3—24no—
537C2×C3—24no—
538C2×C3—616no—
539C2×C3—184no—
540C2×C3C2×C4×D3214yes—
541C2×C3D32×D414yes—
542C2×C3#6431914yes—
543C2×C3C22×C4×C3⋊D311yescharacteristic
544C2×C3C2×D4×C3⋊D311yescharacteristic
545C2×C3#41×C3⋊D311yescharacteristic
546D3—24no—
547D3—616no—
548D3—916no—
549D3—94no—
550D3—1816no—
551C22—34no—
552C22—62no—
553C22—62no—
554C22—94no—
555C22—182no—
556C22—182no—
557C22—272no—
558C22—272no—
559C22—272no—
560C22—5416no—
561C22C22×D3×C3⋊D311yescharacteristic
562C4—22no—
563C4—32no—
564C4—61no—
565C4—92no—
566C4—181no—
567C4—272no—
568C4—542no—
569C4C4×D3×C3⋊D312yescomplemented
570C3—24no—
571C3#1059460514yescomplemented
572C3C4×D4×C3⋊D311yescharacteristic, complemented
573C2—64no—
574C2—184no—
575C2—274no—
576C2C2×C4×D3×C3⋊D311yescharacteristic
577C2D3×D4×C3⋊D311yescharacteristic
578C2#1172459611yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutatorC2×C33C23×C4
FittingC33×C4⋊C4C22
socle, cosocleC22×C33C24
prime radicalC2×#89026C2
hypercenterC4⋊C4D3×C3⋊D3
hypocenterC33C2×C4×D4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×D3×C3⋊D3C2semidirect
3. C4⋊C4×C3⋊(C3⋊D3)C2semidirect
4. C3×#64102C2semidirect
5. C32×#893C2semidirect
6. #11723539C2semidirect
7. #11723507C2semidirect
8. #11723506C2semidirect
9. D12×C3⋊Dic3C2semidirect
10. Dic3×C4⋊(C3⋊D3)C2semidirect
11. C4×#6289C2semidirect
18. C2×C3×C4×C3⋊D3C22semidirect
20. C2×C32×C4×D3C22semidirect
24. C2×Dic3×C3⋊D3C22semidirect
25. C2×D3×C3⋊Dic3C22semidirect
26. #89026C4semidirect
28. C33×C4⋊C4C22semidirect
29. C4⋊(C3⋊(C3⋊Dic3))C22semidirect
30. #88857C22semidirect
31. C3×#3752C22semidirect
32. C3×C4×C3⋊Dic3C22semidirect
33. C32×(C2×D3)⋊C4C22semidirect
34. C32×C4×Dic3C22semidirect
35. #88803C22semidirect
36. (C2×D3)⋊(C3⋊Dic3)C22semidirect
37. Dic3×C3⋊Dic3C22semidirect
38. Dic3×C3⋊Dic3C22semidirect
46. #64102D3semidirect
55. C3×#893D3semidirect
67. C2×D3×C3⋊D3C2×C4semidirect
73. C4×C3⋊(C3⋊D3)C2×C4semidirect
76. C3×C4⋊(C3⋊D3)C2×C4semidirect
80. C32×D12C2×C4semidirect
82. #6290C2×C4semidirect
84. #6289D4semidirect
107. C2×C4×C3⋊D3C2×D3semidirect
111. C2×C3×C4×D3C2×D3semidirect
120. C32×C4⋊C4C2×D3semidirect
121. C32×C4⋊C4C2×D3semidirect
126. #3752C2×D3semidirect
135. C4×C3⋊Dic3C2×D3semidirect
137. C3×(C2×D3)⋊C4C2×D3semidirect
139. C3×C4×Dic3C2×D3semidirect
150. C2×C3×C3⋊D3C22×C4semidirect
153. C2×C32×D3C22×C4semidirect
156. C33×C4C22×C4semidirect
158. C3⋊(C3⋊Dic3)C22×C4semidirect
160. C3×C3⋊Dic3C2×D4semidirect
162. C32×Dic3C2×D4semidirect
174. #893C3⋊D3semidirect
219. C4⋊(C3⋊D3)C4×D3semidirect
235. C3×D12C4×D3semidirect
247. C3⋊(C3⋊D3)C4×D4semidirect
279. C2×C4×D3C2×C3⋊D3semidirect
281. C3×C4⋊C4D32semidirect
282. C3×C4⋊C4C2×C3⋊D3semidirect
292. (C2×D3)⋊C4C2×C3⋊D3semidirect
304. C4×Dic3C2×C3⋊D3semidirect
323. C2×C3⋊D3C2×C4×D3semidirect
329. C2×C3×D3C2×C4×D3semidirect
337. C32×C4C2×C4×D3semidirect
338. C32×C4C2×C4×D3semidirect
346. C3⋊Dic3D3×D4semidirect
350. C3×Dic3D3×D4semidirect
362. C33C2×C4×D4semidirect
405. D12C4×C3⋊D3semidirect
452. C4⋊C4D3×C3⋊D3semidirect
486. C2×D3C2×C4×C3⋊D3semidirect
495. C3×C4C4×D32semidirect
496. C3×C4C2×C4×C3⋊D3semidirect
506. Dic3D4×C3⋊D3semidirect
508. C32C4×D3×D4semidirect
509. C32C4×D3×D4semidirect
569. C4C4×D3×C3⋊D3semidirect
571. C3#10594605semidirect
572. 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×#890262
C2×C4×D3×C3⋊D32
C4⋊C4×C3⋊(C3⋊D3)2
C3×#641022
C32×#8932
#117235392
#117235072
#117235062
D12×C3⋊Dic32
Dic3×C4⋊(C3⋊D3)2
C4×#62892
C4×D4×C3⋊D33
#105946053