Finite Group Databasebeta

← D4×#6290 #13177504

Subgroups — D4×#6290 #13177504

Order 1728.

2944 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C32×D3×D4C211yesmaximal, characteristic, complemented
3C22×#6290C212yesmaximal, complemented
4D4×C3⋊(C3⋊Dic3)C211yesmaximal, characteristic, complemented
5#11723637C212yesmaximal, complemented
6#11723634C212yesmaximal, complemented
7#11723629C212yesmaximal, complemented
8#11723529C211yesmaximal, characteristic, complemented
9#11723522C211yesmaximal, characteristic, complemented
10#11723515C211yesmaximal, characteristic, complemented
11C4×#6290C211yesmaximal, characteristic, complemented
12D4×#638—31nomaximal
13D4×#625—34nomaximal
14C23×C3×C3⋊D3C2212yescomplemented
15C23×C32×D3C2212yescomplemented
16C2×C33×D4C2211yescharacteristic
17C22×C3⋊(C3⋊Dic3)C2212yescomplemented
18C2×C3×#638C2212yescomplemented
19C3×D4×C3⋊D3—24no—
20C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
21C2×C3×C4×C3⋊D3C2211yescharacteristic, complemented
22C2×C32×#67C2212yescomplemented
23C32×D3×D4—24no—
24C2×C32×D12C2211yescharacteristic, complemented
25C2×C32×C4×D3C2211yescharacteristic, complemented
26C2×#6290—28no—
27C2×#6290C2211yescharacteristic
28C2×#6290C2212yescomplemented
29C2×#6290C2212yescomplemented
30C2×#6290C2212yescomplemented
31C2×#6290C2212yescomplemented
32#88864C2212yescomplemented
33C4⋊(C3⋊(C3⋊Dic3))C2211yescharacteristic, complemented
34C4×C3⋊(C3⋊Dic3)C2211yescharacteristic, complemented
35#88806C2211yescharacteristic, complemented
36#88803C2211yescharacteristic, complemented
37#88803C2212yescomplemented
38(C2×D3)⋊(C3⋊Dic3)C2212yescomplemented
39(C2×D3)⋊(C3⋊Dic3)C2211yescharacteristic, complemented
40C22×C32×D4—31no—
41C22×#638—32no—
42C2×D4×C3⋊D3D311yescharacteristic, complemented
43C2×C3×D3×D4—34no—
44C2×C3×D3×D4D314yescomplemented
45C22×#625—38no—
46#64162—32no—
47#64149—31no—
48#64148—32no—
49#64147—31no—
50#64146—32no—
51D4×C3⋊Dic3—31no—
52D4×C3⋊Dic3—34no—
53D4×C3⋊Dic3—64no—
54#64139—31no—
55C4×#638—31no—
56#63980—38no—
57#63976—38no—
58#63976—38no—
59#63914—34no—
60#63908—34no—
61#63908—34no—
62C4×#625—34no—
63C23×C33C2312yes—
64C22×C3×C3⋊D3—24no—
65C22×C3×C3⋊D3—24no—
66C22×C3×C3⋊D3—42no—
67C22×C3×C3⋊D3C2312yes—
68C22×C3×C3⋊D3C2311yescharacteristic
69C22×C32×D3—24no—
70C22×C32×D3—24no—
71C22×C32×D3—42no—
72C22×C32×D3C2312yes—
73C22×C32×D3C2311yescharacteristic
74C33×D4D414yescomplemented
75C2×C33×C4C2311yescharacteristic
76C2×C3⋊(C3⋊Dic3)—24no—
77C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
78C2×C3⋊(C3⋊Dic3)C2312yes—
79C2×C3⋊(C3⋊Dic3)C2311yescharacteristic
80C3×#638—24no—
81C2×C3×C3⋊Dic3C2311yescharacteristic
82C3×C4⋊(C3⋊D3)—22no—
83C3×C4×C3⋊D3—22no—
84C32×#67—24no—
85C2×C32×Dic3C2311yescharacteristic
86C32×D12—22no—
87C32×C4×D3—22no—
88#6290—24no—
89#6290—24no—
90#6290—24no—
91#6290—42no—
92#6290D414yesdirect product factor
93D4×#67—94no—
94D4×#67—91no—
95C24×C32—32no—
96C23×C3⋊D3C2×D312yescomplemented
97C23×C3×D3—38no—
98C23×C3×D3C2×D318yescomplemented
99C2×C32×D4—24no—
100C2×C32×D4—32no—
101C2×C32×D4—31no—
102C2×C32×D4—64no—
103C2×C32×D4C2×D314yes—
104C2×C32×D4C2×D311yescharacteristic
105C22×C32×C4—31no—
106C2×#638—31no—
107C2×#638—32no—
108C2×#638—32no—
109C2×#638—32no—
110C2×#638—32no—
111C2×#638—68no—
112C2×#638C2×D312yescomplemented
113C22×C3⋊Dic3—32no—
114C22×C3⋊Dic3—38no—
115C22×C3⋊Dic3—68no—
116D4×C3⋊D3—24no—
117C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
118C2×C4×C3⋊D3C2×D311yescharacteristic, complemented
119C2×C3×#67—38no—
120C2×C3×#67C2×D318yescomplemented
121C3×D3×D4—216no—
122C3×D3×D4—616no—
123C2×C3×D12—34no—
124C2×C3×D12C2×D314yescomplemented
125C2×C3×C4×D3—34no—
126C2×C3×C4×D3C2×D314yescomplemented
127C2×#625—34no—
128C2×#625—38no—
129C2×#625—38no—
130C2×#625—38no—
131C2×#625—38no—
132C2×#625—632no—
133#3757—32no—
134#3757—38no—
135#3757—31no—
136#3757—32no—
137#3757—68no—
138#3752—31no—
139#3752—32no—
140C4⋊(C3⋊Dic3)—31no—
141C4⋊(C3⋊Dic3)—34no—
142C4⋊(C3⋊Dic3)—64no—
143#3750—31no—
144C4×C3⋊Dic3—31no—
145C4×C3⋊Dic3—34no—
146C4×C3⋊Dic3—64no—
147#3724—34no—
148(C2×D3)⋊Dic3—34no—
149(C2×D3)⋊Dic3—38no—
150(C2×D3)⋊Dic3—34no—
151(C2×D3)⋊Dic3—38no—
152C22×C33—22no—
153C22×C33—22no—
154C22×C33C2×D414yescomplemented
155C22×C33C2411yescharacteristic
156C2×C3×C3⋊D3—21no—
157C2×C3×C3⋊D3—21no—
158C2×C3×C3⋊D3—22no—
159C2×C3×C3⋊D3—22no—
160C2×C3×C3⋊D3—22no—
161C2×C3×C3⋊D3—48no—
162C2×C3×C3⋊D3C2×D412yescomplemented
163C2×C32×D3—21no—
164C2×C32×D3—21no—
165C2×C32×D3—22no—
166C2×C32×D3—22no—
167C2×C32×D3—22no—
168C2×C32×D3—48no—
169C2×C32×D3C2×D412yescomplemented
170C33×C4C2×D412yescomplemented
171C3⋊(C3⋊Dic3)—22no—
172C3⋊(C3⋊Dic3)—21no—
173C3⋊(C3⋊Dic3)C2×D412yescomplemented
174C3×C3⋊Dic3—21no—
175C32×Dic3—21no—
176C22×C3×D4—34no—
177C22×C3×D4—91no—
178C22×#67—98no—
179C22×#67—92no—
180C2×D3×D4—34no—
181C2×D3×D4C3⋊D311yescharacteristic, complemented
182#953—98no—
183#953—92no—
184#940—94no—
185#940—91no—
186#939—98no—
187#939—92no—
188#938—94no—
189#938—91no—
190#937—98no—
191#937—92no—
192D4×Dic3—94no—
193D4×Dic3—91no—
194D4×Dic3—184no—
195#930—94no—
196#930—91no—
197C4×#67—94no—
198C4×#67—91no—
199C23×C32—28no—
200C23×C32—31no—
201C23×C32—32no—
202C23×C32—64no—
203C23×C32—64no—
204C23×C32—122no—
205C23×C32C22×D318yes—
206C23×C32C22×D312yes—
207C22×C3⋊D3—24no—
208C22×C3⋊D3—24no—
209C22×C3⋊D3—42no—
210C22×C3⋊D3C22×D312yes—
211C22×C3⋊D3C22×D311yescharacteristic
212C22×C3×D3—216no—
213C22×C3×D3—216no—
214C22×C3×D3—34no—
215C22×C3×D3—38no—
216C22×C3×D3—48no—
217C22×C3×D3—616no—
218C22×C3×D3—616no—
219C22×C3×D3—128no—
220C22×C3×D3C22×D318yes—
221C22×C3×D3C22×D314yes—
222C32×D4—216no—
223C32×D4—64no—
224C32×D4—62no—
225C32×D4#67116yescomplemented
226C32×D4#6714yescomplemented
227C2×C32×C4—24no—
228C2×C32×C4—31no—
229C2×C32×C4—62no—
230C2×C32×C4C22×D314yes—
231C2×C32×C4C22×D311yescharacteristic
232#638—24no—
233#638—34no—
234#638—64no—
235#638—64no—
236#638—64no—
237#638—122no—
238C2×C3⋊Dic3—31no—
239C2×C3⋊Dic3—31no—
240C2×C3⋊Dic3—32no—
241C2×C3⋊Dic3—34no—
242C2×C3⋊Dic3—34no—
243C2×C3⋊Dic3—38no—
244C2×C3⋊Dic3—64no—
245C2×C3⋊Dic3—64no—
246C2×C3⋊Dic3—68no—
247C2×C3⋊Dic3—64no—
248C2×C3⋊Dic3—616no—
249C2×C3⋊Dic3—1216no—
250C2×C3⋊Dic3C22×D311yescharacteristic
251C4⋊(C3⋊D3)—22no—
252C4×C3⋊D3—22no—
253C3×#67—216no—
254C3×#67—616no—
255C2×C3×Dic3—34no—
256C2×C3×Dic3C22×D314yes—
257C3×D12—28no—
258C3×D12—68no—
259C3×C4×D3—28no—
260C3×C4×D3—68no—
261#625—316no—
262#625—616no—
263#625—616no—
264#625—616no—
265#625—128no—
266D42—271noSylow
267C2×C33—24no—
268C2×C33C22×D411yescharacteristic
269C2×C33C22×D411yescharacteristic
270C2×C33H(5,𝔽2)11yescharacteristic
271C3×C3⋊D3—22no—
272C3×C3⋊D3—42no—
273C32×D3—22no—
274C32×D3—42no—
275C24×C3—38no—
276C24×C3—92no—
277C23×D3—38no—
278C23×D3C2×C3⋊D312yescomplemented
279C2×C3×D4—24no—
280C2×C3×D4—38no—
281C2×C3×D4—34no—
282C2×C3×D4—616no—
283C2×C3×D4—92no—
284C2×C3×D4—91no—
285C2×C3×D4—184no—
286C2×C3×D4D3214yes—
287C2×C3×D4C2×C3⋊D311yescharacteristic
288C22×C3×C4—34no—
289C22×C3×C4—91no—
290C2×#67—38no—
291C2×#67—94no—
292C2×#67—91no—
293C2×#67—98no—
294C2×#67—98no—
295C2×#67—98no—
296C2×#67—92no—
297C2×#67—92no—
298C2×#67—92no—
299C2×#67—98no—
300C2×#67—92no—
301C2×#67—188no—
302C2×#67—1832no—
303C2×#67C2×C3⋊D312yescomplemented
304C22×Dic3—98no—
305C22×Dic3—92no—
306C22×Dic3—188no—
307D3×D4—24no—
308D3×D4—616no—
309C2×D12—34no—
310C2×D12C2×C3⋊D311yescharacteristic, complemented
311C2×C4×D3—34no—
312C2×C4×D3C2×C3⋊D311yescharacteristic, complemented
313#217—94no—
314#217—98no—
315#217—98no—
316#217—92no—
317#217—91no—
318#217—92no—
319#217—188no—
320(C2×D3)⋊C4—94no—
321(C2×D3)⋊C4—98no—
322(C2×D3)⋊C4—91no—
323(C2×D3)⋊C4—92no—
324C4⋊Dic3—94no—
325C4⋊Dic3—91no—
326C4⋊Dic3—184no—
327Dic3⋊C4—94no—
328Dic3⋊C4—91no—
329C4×Dic3—94no—
330C4×Dic3—91no—
331C4×Dic3—184no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—24no—
335C22×C32—216no—
336C22×C32—28no—
337C22×C32—28no—
338C22×C32—32no—
339C22×C32—48no—
340C22×C32—48no—
341C22×C32—61no—
342C22×C32—61no—
343C22×C32—62no—
344C22×C32—62no—
345C22×C32—62no—
346C22×C32—128no—
347C22×C32C2×#67116yescomplemented
348C22×C32C2×#6714yescomplemented
349C22×C32C23×D314yes—
350C22×C32C23×D311yescharacteristic
351C2×C3⋊D3—21no—
352C2×C3⋊D3—21no—
353C2×C3⋊D3—22no—
354C2×C3⋊D3—22no—
355C2×C3⋊D3—22no—
356C2×C3⋊D3—48no—
357C2×C3⋊D3D3×D412yescomplemented
358C2×C3×D3—24no—
359C2×C3×D3—24no—
360C2×C3×D3—28no—
361C2×C3×D3—28no—
362C2×C3×D3—28no—
363C2×C3×D3—38no—
364C2×C3×D3—432no—
365C2×C3×D3—64no—
366C2×C3×D3—64no—
367C2×C3×D3—68no—
368C2×C3×D3—68no—
369C2×C3×D3—68no—
370C2×C3×D3—1232no—
371C2×C3×D3D3×D418yescomplemented
372C32×C4—28no—
373C32×C4—61no—
374C32×C4C2×#6718yescomplemented
375C32×C4C2×#6712yescomplemented
376C3⋊Dic3—21no—
377C3⋊Dic3—32no—
378C3⋊Dic3—38no—
379C3⋊Dic3—68no—
380C3⋊Dic3—62no—
381C3⋊Dic3—61no—
382C3⋊Dic3—68no—
383C3⋊Dic3—64no—
384C3⋊Dic3—124no—
385C3⋊Dic3—128no—
386C3×Dic3—24no—
387C3×Dic3—64no—
388C22×D4—31no—
389C22×D4—91no—
390C22×D4—272no—
391#127—271no—
392#121—271no—
393#121—271no—
394#121—272no—
395#120—272no—
396#120—272no—
397C4×D4—271no—
398C4×D4—271no—
399C33D4211yescharacteristic, complemented, Sylow
400C23×C3—28no—
401C23×C3—34no—
402C23×C3—38no—
403C23×C3—616no—
404C23×C3—616no—
405C23×C3—91no—
406C23×C3—92no—
407C23×C3—128no—
408C23×C3—184no—
409C23×C3—184no—
410C23×C3—362no—
411C23×C3C2×D3218yes—
412C23×C3C22×C3⋊D312yes—
413C22×D3—24no—
414C22×D3—24no—
415C22×D3—34no—
416C22×D3—38no—
417C22×D3—42no—
418C22×D3—616no—
419C22×D3—616no—
420C22×D3—128no—
421C22×D3C22×C3⋊D312yes—
422C22×D3C22×C3⋊D311yescharacteristic
423C3×D4—216no—
424C3×D4—616no—
425C3×D4—68no—
426C3×D4—184no—
427C3×D4—182no—
428C3×D4#625116yescomplemented
429C3×D4#63814yescomplemented
430C2×C3×C4—24no—
431C2×C3×C4—34no—
432C2×C3×C4—68no—
433C2×C3×C4—91no—
434C2×C3×C4—182no—
435C2×C3×C4C2×D3214yes—
436C2×C3×C4C22×C3⋊D311yescharacteristic
437#67—24no—
438#67—616no—
439#67—916no—
440#67—94no—
441#67—184no—
442#67—1816no—
443#67—184no—
444#67—1816no—
445#67—1816no—
446#67—184no—
447#67—362no—
448#67—368no—
449C2×Dic3—34no—
450C2×Dic3—94no—
451C2×Dic3—91no—
452C2×Dic3—94no—
453C2×Dic3—98no—
454C2×Dic3—91no—
455C2×Dic3—92no—
456C2×Dic3—184no—
457C2×Dic3—184no—
458C2×Dic3—188no—
459C2×Dic3—184no—
460C2×Dic3—1816no—
461C2×Dic3—3616no—
462C2×Dic3C22×C3⋊D311yescharacteristic
463D12—22no—
464D12—68no—
465C4×D3—22no—
466C4×D3—68no—
467C2×C32—24no—
468C2×C32—24no—
469C2×C32—24no—
470C2×C32—24no—
471C2×C32—216no—
472C2×C32—416no—
473C2×C32—62no—
474C2×C32—122no—
475C2×C32C2×D3×D414yes—
476C2×C32C2×D3×D411yescharacteristic
477C2×C32#100414yes—
478C2×C32#100411yescharacteristic
479C2×C32C22×#6714yes—
480C2×C32C22×#6711yescharacteristic
481C3⋊D3—22no—
482C3⋊D3—42no—
483C3×D3—28no—
484C3×D3—48no—
485C3×D3—68no—
486C3×D3—128no—
487C24—32no—
488C24—92no—
489C2×D4—32no—
490C2×D4—31no—
491C2×D4—64no—
492C2×D4—92no—
493C2×D4—91no—
494C2×D4—184no—
495C2×D4—271no—
496C2×D4—272no—
497C2×D4—272no—
498C2×D4—272no—
499C2×D4—272no—
500C2×D4—548no—
501C2×D4D3×C3⋊D311yescharacteristic
502C22×C4—31no—
503C22×C4—91no—
504C22×C4—272no—
505C4⋊C4—271no—
506C4⋊C4—271no—
507C22⋊C4—271no—
508C22⋊C4—272no—
509C22⋊C4—271no—
510C22⋊C4—272no—
511C22⋊C4—272no—
512C42—271no—
513C22×C3—28no—
514C22×C3—28no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—24no—
518C22×C3—216no—
519C22×C3—38no—
520C22×C3—48no—
521C22×C3—48no—
522C22×C3—64no—
523C22×C3—64no—
524C22×C3—68no—
525C22×C3—68no—
526C22×C3—68no—
527C22×C3—92no—
528C22×C3—1232no—
529C22×C3—181no—
530C22×C3—181no—
531C22×C3—182no—
532C22×C3—182no—
533C22×C3—182no—
534C22×C3—368no—
535C22×C3C2×#625116yescomplemented
536C22×C3C2×#63814yescomplemented
537C22×C3C22×D3214yes—
538C22×C3C23×C3⋊D311yescharacteristic
539C2×D3—21no—
540C2×D3—21no—
541C2×D3—22no—
542C2×D3—22no—
543C2×D3—22no—
544C2×D3—38no—
545C2×D3—48no—
546C2×D3—64no—
547C2×D3—64no—
548C2×D3—68no—
549C2×D3—68no—
550C2×D3—68no—
551C2×D3—1232no—
552C2×D3D4×C3⋊D312yescomplemented
553C3×C4—28no—
554C3×C4—64no—
555C3×C4—181no—
556C3×C4C2×#62518yescomplemented
557C3×C4C2×#63812yescomplemented
558Dic3—21no—
559Dic3—64no—
560Dic3—98no—
561Dic3—92no—
562Dic3—188no—
563Dic3—188no—
564Dic3—184no—
565Dic3—182no—
566Dic3—181no—
567Dic3—368no—
568Dic3—364no—
569C32—24no—
570C32D4×#6714yescomplemented
571C32D4×#6711yescharacteristic, complemented
572C23—31no—
573C23—32no—
574C23—64no—
575C23—64no—
576C23—91no—
577C23—92no—
578C23—122no—
579C23—184no—
580C23—184no—
581C23—362no—
582C23C2×D3×C3⋊D312yes—
583D4—64no—
584D4—62no—
585D4—184no—
586D4—182no—
587D4—274no—
588D4—544no—
589D4—544no—
590D4—544no—
591D4—1082no—
592D4#629014yesdirect product factor
593C2×C4—31no—
594C2×C4—62no—
595C2×C4—91no—
596C2×C4—182no—
597C2×C4—271no—
598C2×C4—271no—
599C2×C4—272no—
600C2×C4—544no—
601C2×C4C2×D3×C3⋊D311yescharacteristic
602C2×C3—216no—
603C2×C3—24no—
604C2×C3—24no—
605C2×C3—24no—
606C2×C3—24no—
607C2×C3—416no—
608C2×C3—68no—
609C2×C3—128no—
610C2×C3—182no—
611C2×C3—362no—
612C2×C3D32×D414yes—
613C2×C3#6431314yes—
614C2×C3C22×#62514yes—
615C2×C3C2×D4×C3⋊D311yescharacteristic
616C2×C3#6436111yescharacteristic
617C2×C3C22×#63811yescharacteristic
618D3—22no—
619D3—42no—
620D3—68no—
621D3—128no—
622C22—22no—
623C22—22no—
624C22—32no—
625C22—61no—
626C22—61no—
627C22—62no—
628C22—62no—
629C22—62no—
630C22—92no—
631C22—128no—
632C22—181no—
633C22—181no—
634C22—182no—
635C22—182no—
636C22—182no—
637C22—368no—
638C22C2×#629014yescomplemented
639C22C22×D3×C3⋊D311yescharacteristic
640C4—61no—
641C4—181no—
642C4—272no—
643C4—542no—
644C4—541no—
645C4C2×#629012yescomplemented
646C3—24no—
647C3D4×#62514yescomplemented
648C3D4×#63811yescharacteristic, complemented
649C2—24no—
650C2—62no—
651C2—122no—
652C2—182no—
653C2—362no—
654C2D3×D4×C3⋊D311yescharacteristic
655C2#1172458711yescharacteristic
656C2C22×#629011yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×C3⋊D3
commutator, socle, cosocleC22×C33C24
FittingC2×C33×D4C22
hypercenterC2×D4D3×C3⋊D3
hypocenterC33D42
LCSG ▷ C22×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×C3⋊D3C2semidirect
2. C2×C32×D3×D4C2semidirect
3. C22×#6290C2semidirect
4. D4×C3⋊(C3⋊Dic3)C2semidirect
5. #11723637C2semidirect
6. #11723634C2semidirect
7. #11723629C2semidirect
8. #11723529C2semidirect
9. #11723522C2semidirect
10. #11723515C2semidirect
11. C4×#6290C2semidirect
14. C23×C3×C3⋊D3C22semidirect
15. C23×C32×D3C22semidirect
17. C22×C3⋊(C3⋊Dic3)C22semidirect
18. C2×C3×#638C22semidirect
20. C2×C3×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×C4×C3⋊D3C22semidirect
22. C2×C32×#67C22semidirect
24. C2×C32×D12C22semidirect
25. C2×C32×C4×D3C22semidirect
28. C2×#6290C22semidirect
29. C2×#6290C22semidirect
30. C2×#6290C22semidirect
31. C2×#6290C22semidirect
32. #88864C22semidirect
33. C4⋊(C3⋊(C3⋊Dic3))C22semidirect
34. C4×C3⋊(C3⋊Dic3)C22semidirect
35. #88806C22semidirect
36. #88803C22semidirect
37. #88803C22semidirect
38. (C2×D3)⋊(C3⋊Dic3)C22semidirect
39. (C2×D3)⋊(C3⋊Dic3)C22semidirect
42. C2×D4×C3⋊D3D3semidirect
44. C2×C3×D3×D4D3semidirect
74. C33×D4D4semidirect
92. #6290D4direct (N × H)
96. C23×C3⋊D3C2×D3semidirect
98. C23×C3×D3C2×D3semidirect
112. C2×#638C2×D3semidirect
117. C2×C4⋊(C3⋊D3)C2×D3semidirect
118. C2×C4×C3⋊D3C2×D3semidirect
120. C2×C3×#67C2×D3semidirect
124. C2×C3×D12C2×D3semidirect
126. C2×C3×C4×D3C2×D3semidirect
154. C22×C33C2×D4semidirect
162. C2×C3×C3⋊D3C2×D4semidirect
169. C2×C32×D3C2×D4semidirect
170. C33×C4C2×D4semidirect
173. C3⋊(C3⋊Dic3)C2×D4semidirect
181. C2×D3×D4C3⋊D3semidirect
225. C32×D4#67semidirect
226. C32×D4#67semidirect
278. C23×D3C2×C3⋊D3semidirect
303. C2×#67C2×C3⋊D3semidirect
310. C2×D12C2×C3⋊D3semidirect
312. C2×C4×D3C2×C3⋊D3semidirect
347. C22×C32C2×#67semidirect
348. C22×C32C2×#67semidirect
357. C2×C3⋊D3D3×D4semidirect
371. C2×C3×D3D3×D4semidirect
374. C32×C4C2×#67semidirect
375. C32×C4C2×#67semidirect
399. C33D42semidirect
428. C3×D4#625semidirect
429. C3×D4#638semidirect
535. C22×C3C2×#625semidirect
536. C22×C3C2×#638semidirect
552. C2×D3D4×C3⋊D3semidirect
556. C3×C4C2×#625semidirect
557. C3×C4C2×#638semidirect
570. C32D4×#67semidirect
571. C32D4×#67semidirect
592. D4#6290direct (N × H)
638. C22C2×#6290semidirect
645. C4C2×#6290semidirect
647. C3D4×#625semidirect
648. C3D4×#638semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×C3⋊D32
C2×C32×D3×D42
C22×#62902
D4×C3⋊(C3⋊Dic3)2
#117236372
#117236342
#117236292
#117235292
#117235222
#117235152
C4×#62902
D4×#6383
D4×#6253