Finite Group Databasebeta

← C4×C3⋊D3×D12 #13175391

Subgroups — C4×C3⋊D3×D12 #13175391

Order 1728.

2932 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×C3⋊D3×D12C211yesmaximal, characteristic
2C2×C4×D3×C3⋊D3C212yesmaximal, complemented
3C4×C4⋊(C3⋊(C3⋊D3))C211yesmaximal, characteristic, complemented
4C3×C42×C3⋊D3C211yesmaximal, characteristic, complemented
5C32×C4×D12C211yesmaximal, characteristic, complemented
6C3⋊D3×(C2×D3)⋊C4C212yesmaximal, complemented
7C4×#6291C212yesmaximal, complemented
8#11723494C211yesmaximal, characteristic, complemented
9C3⋊D3×C4⋊Dic3C211yesmaximal, characteristic, complemented
10D12×C3⋊Dic3C211yesmaximal, characteristic, complemented
11#11723461C212yesmaximal, complemented
12C4×D4×C3⋊D3—31nomaximal
13C4×D3×D12—34nomaximal
14C22×D3×C3⋊D3C2212yes—
15C2×C4⋊(C3⋊(C3⋊D3))C2211yescharacteristic
16C2×C4×C3⋊(C3⋊D3)C2212yescomplemented
17C2×C3×C4×C3⋊D3C2211yescharacteristic
18C2×C3×C4×C3⋊D3C2211yescharacteristic
19C2×C3×C4×C3⋊D3C2211yescharacteristic
20C2×C32×D12C2211yescharacteristic
21C2×C32×C4×D3C2212yescomplemented
22C2×#6291C2212yes—
23C2×#6289C2212yescomplemented
24C2×Dic3×C3⋊D3C2212yes—
25C2×D3×C3⋊Dic3C2212yescomplemented
26C3⋊D3×D12C418yesdirect product factor
27C4×D3×C3⋊D3—28no—
28C33×C42C2211yescharacteristic, complemented
29#88859C2212yescomplemented
30C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic, complemented
31C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
32C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
33C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
34C32×(C2×D3)⋊C4C2212yescomplemented
35C32×C4⋊Dic3C2211yescharacteristic, complemented
36#88807C2212yescomplemented
37#88804C2212yescomplemented
38(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
39C2×D4×C3⋊D3—31no—
40C22×C4×C3⋊D3—32no—
41C2×D3×D12—34no—
42C2×C4×D32—38no—
43C32×C4×D4—31no—
44D4×C3⋊Dic3—31no—
45C4×#638—32no—
46#64102—31no—
47C4⋊C4×C3⋊D3—31no—
48#64090—32no—
49C22⋊C4×C3⋊D3—32no—
50C4×C4⋊(C3⋊D3)—31no—
51C4×C4⋊(C3⋊D3)—34no—
52C4×C4⋊(C3⋊D3)—64no—
53C42×C3⋊D3D311yescharacteristic, complemented
54C3×C4×D12D314yescomplemented
55C3×C42×D3—34no—
56D3×(C2×D3)⋊C4—38no—
57C4×#626—38no—
58#63894—34no—
59Dic3×D12—34no—
60D3×C4⋊Dic3—34no—
61#63880—38no—
62C22×C3⋊(C3⋊D3)C2312yes—
63C22×C3×C3⋊D3C2311yescharacteristic
64C22×C32×D3C2312yes—
65C2×D3×C3⋊D3—24no—
66C2×D3×C3⋊D3—24no—
67C2×D3×C3⋊D3C2×C418yescomplemented
68C2×C33×C4C2311yescharacteristic
69C2×C33×C4C2311yescharacteristic
70C2×C33×C4C2311yescharacteristic
71C2×C3⋊(C3⋊Dic3)C2312yes—
72C4⋊(C3⋊(C3⋊D3))C2×C414yescomplemented
73C4×C3⋊(C3⋊D3)—24no—
74C2×C3×C3⋊Dic3C2311yescharacteristic
75C2×C3×C3⋊Dic3C2311yescharacteristic
76C2×C3×C3⋊Dic3C2311yescharacteristic
77C3×C4×C3⋊D3—22no—
78C3×C4×C3⋊D3C2×C414yescomplemented
79C3×C4×C3⋊D3D414yescomplemented
80C2×C32×Dic3C2312yes—
81C32×D12C2×C414yescomplemented
82C32×C4×D3—24no—
83#6291C2×C418yescomplemented
84#6289—24no—
85Dic3×C3⋊D3—24no—
86D3×C3⋊Dic3—24no—
87C4×D3×D4—94no—
88C2×C4×D12—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)—31no—
97C2×C4⋊(C3⋊D3)—34no—
98C2×C4⋊(C3⋊D3)—64no—
99C2×C4×C3⋊D3—32no—
100C2×C4×C3⋊D3—32no—
101C2×C4×C3⋊D3—38no—
102C2×C4×C3⋊D3—32no—
103C2×C4×C3⋊D3—68no—
104C2×C4×C3⋊D3—68no—
105C2×C4×C3⋊D3C2×D311yescharacteristic
106C2×C4×C3⋊D3C2×D311yescharacteristic
107C2×C4×C3⋊D3C2×D311yescharacteristic
108C2×C3×D12C2×D314yes—
109C2×C3×C4×D3—34no—
110C2×C3×C4×D3—34no—
111C2×C3×C4×D3—34no—
112C2×C3×C4×D3C2×D318yescomplemented
113C2×#626—38no—
114C2×#624—38no—
115C2×D3×Dic3—38no—
116C2×D3×Dic3—38no—
117D3×D12—332no—
118C4×D32—632no—
119C32×C4⋊C4—31no—
120C32×C22⋊C4—32no—
121C32×C42—24no—
122C32×C42C2×D314yescomplemented
123C32×C42C2×D311yescharacteristic, complemented
124#3757—32no—
125#3752—32no—
126#3752—38no—
127#3752—32no—
128#3752—68no—
129C4⋊(C3⋊Dic3)—31no—
130C4⋊(C3⋊Dic3)—34no—
131C4⋊(C3⋊Dic3)—64no—
132#3750—32no—
133C4×C3⋊Dic3C2×D311yescharacteristic, complemented
134C4×C3⋊Dic3C2×D311yescharacteristic, complemented
135C4×C3⋊Dic3C2×D311yescharacteristic, complemented
136C3×(C2×D3)⋊C4C2×D318yescomplemented
137C3×C4⋊Dic3C2×D314yescomplemented
138C3×C4×Dic3—34no—
139C3×C4×Dic3—34no—
140C3×C4×Dic3—34no—
141Dic3⋊Dic3—38no—
142#3722—38no—
143(C2×D3)⋊Dic3—38no—
144C22×C33C2411yescharacteristic
145C2×C3⋊(C3⋊D3)—22no—
146C2×C3⋊(C3⋊D3)—22no—
147C2×C3⋊(C3⋊D3)C22×C414yescomplemented
148C2×C3×C3⋊D3C22×C412yes—
149C2×C3×C3⋊D3C2×D412yes—
150C2×C3×C3⋊D3#4112yes—
151C2×C32×D3—22no—
152C2×C32×D3—22no—
153C2×C32×D3C22×C414yescomplemented
154D3×C3⋊D3—216no—
155C33×C4—21no—
156C33×C4C22×C412yescomplemented
157C33×C4C2×D412yescomplemented
158C3⋊(C3⋊Dic3)—22no—
159C3×C3⋊Dic3—21no—
160C3×C3⋊Dic3C22×C412yescomplemented
161C3×C3⋊Dic3C2×D412yescomplemented
162C32×Dic3—22no—
163C2×D3×D4—94no—
164C22×D12—91no—
165C22×C4×D3—98no—
166C22×C4×D3—92no—
167C3×C4×D4—34no—
168C2×C3×C42—91no—
169D4×Dic3—94no—
170C4×#67—98no—
171C2×(C2×D3)⋊C4—92no—
172C2×C4⋊Dic3—91no—
173#893—94no—
174D3×C4⋊C4—94no—
175#67⋊C4—98no—
176D3×C22⋊C4—98no—
177C4×D12—91no—
178C4×D12—92no—
179C4×D12—94no—
180C4×D12—91no—
181C4×D12—92no—
182C4×D12—91no—
183C4×D12—184no—
184C4×D12C3⋊D311yescharacteristic, direct product factor
185C42×D3—34no—
186C23×C32—32no—
187C22×C3⋊D3—32no—
188C22×C3⋊D3—38no—
189C22×C3⋊D3—38no—
190C22×C3⋊D3—68no—
191C22×C3⋊D3—64no—
192C22×C3⋊D3—64no—
193C22×C3⋊D3C22×D311yescharacteristic
194C22×C3×D3—34no—
195C22×C3×D3C22×D318yes—
196C2×D32—332no—
197C2×D32—616no—
198C2×D32—616no—
199C32×D4—34no—
200C2×C32×C4—24no—
201C2×C32×C4—24no—
202C2×C32×C4—24no—
203C2×C32×C4—32no—
204C2×C32×C4—64no—
205C2×C32×C4C22×D314yes—
206C2×C32×C4C22×D314yes—
207C2×C32×C4C22×D314yes—
208C2×C32×C4C22×D311yescharacteristic
209C2×C32×C4C22×D311yescharacteristic
210C2×C32×C4C22×D311yescharacteristic
211#638—38no—
212C2×C3⋊Dic3—32no—
213C2×C3⋊Dic3—38no—
214C2×C3⋊Dic3—68no—
215C2×C3⋊Dic3—64no—
216C2×C3⋊Dic3C22×D311yescharacteristic
217C2×C3⋊Dic3C22×D311yescharacteristic
218C2×C3⋊Dic3C22×D311yescharacteristic
219C4⋊(C3⋊D3)—34no—
220C4⋊(C3⋊D3)—316no—
221C4⋊(C3⋊D3)—616no—
222C4×C3⋊D3—22no—
223C4×C3⋊D3—64no—
224C4×C3⋊D3—64no—
225C4×C3⋊D3—64no—
226C4×C3⋊D3—616no—
227C4×C3⋊D3—1216no—
228C4×C3⋊D3C4×D314yescomplemented
229C4×C3⋊D3D1214yesdirect product factor
230C2×C3×Dic3—34no—
231C2×C3×Dic3—34no—
232C2×C3×Dic3—34no—
233C2×C3×Dic3C22×D318yes—
234C3×D12C4×D3116yescomplemented
235C3×C4×D3—216no—
236C3×C4×D3—316no—
237C3×C4×D3—316no—
238C3×C4×D3—68no—
239#626—332no—
240#624—616no—
241D3×Dic3—616no—
242D3×Dic3—616no—
243C2×C4×D4—271noSylow
244C2×C33C23×C411yescharacteristic
245C2×C33C22×D411yescharacteristic
246C2×C33C2×#4111yescharacteristic
247C3⋊(C3⋊D3)—24no—
248C3×C3⋊D3C4×D414yescomplemented
249C32×D3—24no—
250C23×D3—98no—
251C23×D3—92no—
252C2×C3×D4—34no—
253C22×C3×C4—38no—
254C22×C3×C4—91no—
255C22×C3×C4—91no—
256C22×C3×C4—91no—
257C2×#67—98no—
258C22×Dic3—98no—
259C22×Dic3—92no—
260D3×D4—932no—
261C2×D12—92no—
262C2×D12—94no—
263C2×D12—91no—
264C2×D12—98no—
265C2×D12—184no—
266C2×D12C2×C3⋊D311yescharacteristic
267C2×C4×D3—34no—
268C2×C4×D3—34no—
269C2×C4×D3—34no—
270C2×C4×D3—98no—
271C2×C4×D3—98no—
272C2×C4×D3—92no—
273C2×C4×D3—98no—
274C2×C4×D3—92no—
275C2×C4×D3—92no—
276C2×C4×D3—188no—
277C2×C4×D3—188no—
278C2×C4×D3—1832no—
279C2×C4×D3C2×C3⋊D312yescomplemented
280C3×C4⋊C4—34no—
281C3×C22⋊C4—38no—
282C3×C42—24no—
283C3×C42—91no—
284C3×C42—91no—
285C3×C42—91no—
286C3×C42D3214yescomplemented
287C3×C42C2×C3⋊D311yescharacteristic, complemented
288#217—98no—
289(C2×D3)⋊C4—98no—
290(C2×D3)⋊C4—92no—
291(C2×D3)⋊C4—98no—
292(C2×D3)⋊C4—92no—
293(C2×D3)⋊C4—92no—
294(C2×D3)⋊C4—188no—
295(C2×D3)⋊C4C2×C3⋊D312yescomplemented
296C4⋊Dic3—94no—
297C4⋊Dic3—91no—
298C4⋊Dic3—92no—
299C4⋊Dic3—184no—
300C4⋊Dic3C2×C3⋊D311yescharacteristic, complemented
301Dic3⋊C4—98no—
302C4×Dic3—34no—
303C4×Dic3—34no—
304C4×Dic3—34no—
305C22×C32—24no—
306C22×C32—34no—
307C22×C32—62no—
308C22×C32—62no—
309C22×C32C23×D314yes—
310C22×C32C23×D311yescharacteristic
311C2×C3⋊D3—34no—
312C2×C3⋊D3—316no—
313C2×C3⋊D3—616no—
314C2×C3⋊D3—62no—
315C2×C3⋊D3—62no—
316C2×C3⋊D3—616no—
317C2×C3⋊D3—68no—
318C2×C3⋊D3—68no—
319C2×C3⋊D3—128no—
320C2×C3⋊D3—128no—
321C2×C3⋊D3C2×C4×D312yes—
322C2×C3⋊D3C2×D1212yes—
323C2×C3⋊D3#23512yes—
324C2×C3×D3—28no—
325C2×C3×D3—28no—
326C2×C3×D3—38no—
327C2×C3×D3—38no—
328C2×C3×D3—38no—
329C2×C3×D3C2×C4×D3116yescomplemented
330D32—664no—
331C32×C4—21no—
332C32×C4—28no—
333C32×C4—28no—
334C32×C4—24no—
335C32×C4—44no—
336C32×C4—62no—
337C32×C4C2×C4×D318yescomplemented
338C32×C4C2×C4×D312yescomplemented
339C32×C4C2×D1212yescomplemented
340C32×C4D3×D418yescomplemented
341C3⋊Dic3—21no—
342C3⋊Dic3—62no—
343C3⋊Dic3—68no—
344C3⋊Dic3—128no—
345C3⋊Dic3C2×C4×D312yescomplemented
346C3⋊Dic3C2×D1212yescomplemented
347C3×Dic3—28no—
348C3×Dic3—38no—
349C3×Dic3—38no—
350C3×Dic3—64no—
351C22×D4—271no—
352C23×C4—272no—
353C4×D4—31no—
354C4×D4—272no—
355C4×D4—271no—
356C4×D4—272no—
357C4×D4—271no—
358C4×D4—271no—
359C2×C4⋊C4—271no—
360C2×C22⋊C4—272no—
361C2×C42—91no—
362C33C2×C4×D411yescharacteristic, complemented, Sylow
363C23×C3—38no—
364C23×C3—91no—
365C22×D3—34no—
366C22×D3—932no—
367C22×D3—98no—
368C22×D3—92no—
369C22×D3—98no—
370C22×D3—188no—
371C22×D3—184no—
372C22×D3—184no—
373C22×D3—1816no—
374C22×D3—1816no—
375C22×D3C22×C3⋊D312yes—
376C3×D4—316no—
377C2×C3×C4—24no—
378C2×C3×C4—24no—
379C2×C3×C4—24no—
380C2×C3×C4—38no—
381C2×C3×C4—616no—
382C2×C3×C4—91no—
383C2×C3×C4—91no—
384C2×C3×C4—94no—
385C2×C3×C4—94no—
386C2×C3×C4—91no—
387C2×C3×C4—182no—
388C2×C3×C4C2×D3214yes—
389C2×C3×C4C2×D3214yes—
390C2×C3×C4C2×D3214yes—
391C2×C3×C4C22×C3⋊D311yescharacteristic
392C2×C3×C4C22×C3⋊D311yescharacteristic
393C2×C3×C4C22×C3⋊D311yescharacteristic
394#67—932no—
395C2×Dic3—34no—
396C2×Dic3—34no—
397C2×Dic3—34no—
398C2×Dic3—98no—
399C2×Dic3—92no—
400C2×Dic3—188no—
401C2×Dic3—184no—
402C2×Dic3—1816no—
403C2×Dic3C22×C3⋊D312yes—
404D12—98no—
405D12—916no—
406D12—94no—
407D12—1816no—
408D12C4×C3⋊D314yesdirect product factor
409C4×D3—24no—
410C4×D3—316no—
411C4×D3—316no—
412C4×D3—68no—
413C4×D3—184no—
414C4×D3—1816no—
415C4×D3—1816no—
416C4×D3—184no—
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×C32C22×D1211yescharacteristic
427C2×C32C2×#23511yescharacteristic
428C2×C32C2×D3×D414yes—
429C2×C32D3×#4114yes—
430C3⋊D3—64no—
431C3⋊D3—616no—
432C3⋊D3—1216no—
433C3⋊D3C4×D1214yesdirect product factor
434C3×D3—216no—
435C3×D3—316no—
436C24—272no—
437C2×D4—31no—
438C2×D4—278no—
439C2×D4—272no—
440C2×D4—271no—
441C22×C4—32no—
442C22×C4—91no—
443C22×C4—91no—
444C22×C4—91no—
445C22×C4—272no—
446C22×C4—272no—
447C22×C4—272no—
448C22×C4—272no—
449C22×C4—548no—
450C4⋊C4—31no—
451C4⋊C4—272no—
452C4⋊C4—271no—
453C22⋊C4—32no—
454C22⋊C4—272no—
455C22⋊C4—272no—
456C22⋊C4—272no—
457C42—91no—
458C42—91no—
459C42—91no—
460C42D3×C3⋊D311yescharacteristic, complemented
461C22×C3—24no—
462C22×C3—316no—
463C22×C3—68no—
464C22×C3—68no—
465C22×C3—92no—
466C22×C3—92no—
467C22×C3—92no—
468C22×C3C22×D3214yes—
469C22×C3C23×C3⋊D311yescharacteristic
470C2×D3—22no—
471C2×D3—22no—
472C2×D3—38no—
473C2×D3—38no—
474C2×D3—38no—
475C2×D3—916no—
476C2×D3—94no—
477C2×D3—1816no—
478C2×D3—1816no—
479C2×D3—1864no—
480C2×D3—188no—
481C2×D3—188no—
482C2×D3—182no—
483C2×D3—182no—
484C2×D3—368no—
485C2×D3—368no—
486C2×D3C2×C4×C3⋊D314yescomplemented
487C3×C4—24no—
488C3×C4—21no—
489C3×C4—28no—
490C3×C4—28no—
491C3×C4—44no—
492C3×C4—68no—
493C3×C4—92no—
494C3×C4—92no—
495C3×C4—181no—
496C3×C4C4×D3218yescomplemented
497C3×C4D3×D1218yescomplemented
498C3×C4C2×C4×C3⋊D312yescomplemented
499C3×C4D4×C3⋊D312yescomplemented
500Dic3—22no—
501Dic3—38no—
502Dic3—38no—
503Dic3—64no—
504Dic3—188no—
505Dic3—182no—
506Dic3—368no—
507C32—24no—
508C32C2×C4×D1211yescharacteristic, complemented
509C32C4×D3×D414yescomplemented
510C23—32no—
511C23—91no—
512C23—278no—
513C23—272no—
514C23—544no—
515C23—544no—
516D4—34no—
517D4—278no—
518D4—274no—
519C2×C4—32no—
520C2×C4—64no—
521C2×C4—91no—
522C2×C4—91no—
523C2×C4—94no—
524C2×C4—94no—
525C2×C4—91no—
526C2×C4—182no—
527C2×C4—272no—
528C2×C4—544no—
529C2×C4—544no—
530C2×C4—544no—
531C2×C4—544no—
532C2×C4C2×D3×C3⋊D311yescharacteristic
533C2×C4C2×D3×C3⋊D311yescharacteristic
534C2×C4C2×D3×C3⋊D311yescharacteristic
535C2×C3—24no—
536C2×C3—24no—
537C2×C3—24no—
538C2×C3—616no—
539C2×C3—94no—
540C2×C3C2×C4×D3214yes—
541C2×C3C2×D3×D1214yes—
542C2×C3D3×#23514yes—
543C2×C3C22×C4×C3⋊D311yescharacteristic
544C2×C3C2×D4×C3⋊D311yescharacteristic
545C2×C3#41×C3⋊D311yescharacteristic
546D3—24no—
547D3—316no—
548D3—184no—
549D3—1816no—
550D3—3616no—
551C22—34no—
552C22—62no—
553C22—62no—
554C22—92no—
555C22—92no—
556C22—92no—
557C22—274no—
558C22—5416no—
559C22—542no—
560C22—542no—
561C22C22×D3×C3⋊D311yescharacteristic
562C4—21no—
563C4—62no—
564C4—92no—
565C4—92no—
566C4—181no—
567C4—542no—
568C4C4×D3×C3⋊D312yescomplemented
569C4C3⋊D3×D1212yesdirect product factor
570C3—24no—
571C3C4×D3×D1214yescomplemented
572C3C4×D4×C3⋊D311yescharacteristic, complemented
573C2—64no—
574C2—94no—
575C2—544no—
576C2C2×C4×D3×C3⋊D311yescharacteristic
577C2C2×C3⋊D3×D1211yescharacteristic
578C2C3⋊D3×#23511yescharacteristic
subgroupG/H
centerC2×C4C2×D3×C3⋊D3
commutatorC2×C33C23×C4
FrattiniC22C22×D3×C3⋊D3
FittingC33×C42C22
socle, cosocleC22×C33C24
prime radicalC2×C3⋊D3×D12C2
hypercenterC42D3×C3⋊D3
hypocenterC33C2×C4×D4
LCSG ▷ C2×C33 ▷ C33
UCSC1 ◁ C2×C4 ◁ C42

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×C42×C3⋊D3C2semidirect
5. C32×C4×D12C2semidirect
6. C3⋊D3×(C2×D3)⋊C4C2semidirect
7. C4×#6291C2semidirect
8. #11723494C2semidirect
9. C3⋊D3×C4⋊Dic3C2semidirect
10. D12×C3⋊Dic3C2semidirect
11. #11723461C2semidirect
16. C2×C4×C3⋊(C3⋊D3)C22semidirect
21. C2×C32×C4×D3C22semidirect
23. C2×#6289C22semidirect
25. C2×D3×C3⋊Dic3C22semidirect
26. C3⋊D3×D12C4direct (N × H)
28. C33×C42C22semidirect
29. #88859C22semidirect
30. C4⋊(C3⋊(C3⋊Dic3))C22semidirect
31. C3×C4×C3⋊Dic3C22semidirect
32. C3×C4×C3⋊Dic3C22semidirect
33. C3×C4×C3⋊Dic3C22semidirect
34. C32×(C2×D3)⋊C4C22semidirect
35. C32×C4⋊Dic3C22semidirect
36. #88807C22semidirect
37. #88804C22semidirect
38. (C2×D3)⋊(C3⋊Dic3)C22semidirect
53. C42×C3⋊D3D3semidirect
54. C3×C4×D12D3semidirect
67. C2×D3×C3⋊D3C2×C4semidirect
72. C4⋊(C3⋊(C3⋊D3))C2×C4semidirect
78. C3×C4×C3⋊D3C2×C4semidirect
79. C3×C4×C3⋊D3D4semidirect
81. C32×D12C2×C4semidirect
83. #6291C2×C4semidirect
112. C2×C3×C4×D3C2×D3semidirect
122. C32×C42C2×D3semidirect
123. C32×C42C2×D3semidirect
133. C4×C3⋊Dic3C2×D3semidirect
134. C4×C3⋊Dic3C2×D3semidirect
135. C4×C3⋊Dic3C2×D3semidirect
136. C3×(C2×D3)⋊C4C2×D3semidirect
137. C3×C4⋊Dic3C2×D3semidirect
147. C2×C3⋊(C3⋊D3)C22×C4semidirect
153. C2×C32×D3C22×C4semidirect
156. C33×C4C22×C4semidirect
157. C33×C4C2×D4semidirect
160. C3×C3⋊Dic3C22×C4semidirect
161. C3×C3⋊Dic3C2×D4semidirect
184. C4×D12C3⋊D3direct (N × H)
228. C4×C3⋊D3C4×D3semidirect
229. C4×C3⋊D3D12direct (N × H)
234. C3×D12C4×D3semidirect
248. C3×C3⋊D3C4×D4semidirect
279. C2×C4×D3C2×C3⋊D3semidirect
286. C3×C42D32semidirect
287. C3×C42C2×C3⋊D3semidirect
295. (C2×D3)⋊C4C2×C3⋊D3semidirect
300. C4⋊Dic3C2×C3⋊D3semidirect
329. C2×C3×D3C2×C4×D3semidirect
337. C32×C4C2×C4×D3semidirect
338. C32×C4C2×C4×D3semidirect
339. C32×C4C2×D12semidirect
340. C32×C4D3×D4semidirect
345. C3⋊Dic3C2×C4×D3semidirect
346. C3⋊Dic3C2×D12semidirect
362. C33C2×C4×D4semidirect
408. D12C4×C3⋊D3direct (N × H)
433. C3⋊D3C4×D12direct (N × H)
460. C42D3×C3⋊D3semidirect
486. C2×D3C2×C4×C3⋊D3semidirect
496. C3×C4C4×D32semidirect
497. C3×C4D3×D12semidirect
498. C3×C4C2×C4×C3⋊D3semidirect
499. C3×C4D4×C3⋊D3semidirect
508. C32C2×C4×D12semidirect
509. C32C4×D3×D4semidirect
568. C4C4×D3×C3⋊D3semidirect
569. C4C3⋊D3×D12direct (N × H)
571. C3C4×D3×D12semidirect
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×C3⋊D3×D122
C2×C4×D3×C3⋊D32
C4×C4⋊(C3⋊(C3⋊D3))2
C3×C42×C3⋊D32
C32×C4×D122
C3⋊D3×(C2×D3)⋊C42
C4×#62912
#117234942
C3⋊D3×C4⋊Dic32
D12×C3⋊Dic32
#117234612
C4×D4×C3⋊D33
C4×D3×D123