Finite Group Databasebeta

← C3×D4×#625 #13174770

Subgroups — C3×D4×#625 #13174770

Order 1728.

2332 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×D3×D4C212yesmaximal, complemented
2C22×C3×#625C212yesmaximal, complemented
3C3×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
4C3×#63980C212yesmaximal, complemented
5C3×#63976C214yesmaximal, complemented
6C3×#63914C211yesmaximal, characteristic, complemented
7C3×#63908C212yesmaximal, complemented
8C3×C4×#625C211yesmaximal, characteristic, complemented
9C3×D4×#67—32nomaximal
10D4×#625C311yesmaximal, characteristic, direct product factor
11C23×C32×D3C2214yescomplemented
12C2×C33×D4C2211yescharacteristic
13C22×C3×C3⋊Dic3C2212yescomplemented
14C2×C32×#67C2214yescomplemented
15C32×D3×D4—28no—
16C2×C32×D12C2212yescomplemented
17C2×C32×C4×D3C2212yescomplemented
18C2×C3×#625—28no—
19C2×C3×#625C2211yescharacteristic
20C2×C3×#625C2214yescomplemented
21C2×C3×#625C2212yescomplemented
22C2×C3×#625C2212yescomplemented
23C3×#3757C2212yescomplemented
24C3×C4⋊(C3⋊Dic3)C2211yescharacteristic, complemented
25C3×C4×C3⋊Dic3C2211yescharacteristic, complemented
26C3×#3724C2211yescharacteristic, complemented
27C3×(C2×D3)⋊Dic3C2212yescomplemented
28C3×(C2×D3)⋊Dic3C2214yescomplemented
29C22×C32×D4—32no—
30C22×C3×#67—34no—
31C2×C3×D3×D4—22no—
32C2×C3×D3×D4D312yescomplemented
33C2×C3×D3×D4C2×C312yescomplemented
34C22×#625C2×C312yescomplemented
35D4×C3⋊Dic3C2×C311yescharacteristic, complemented
36C3×#953—34no—
37C3×#940—32no—
38C3×#939—34no—
39C3×#938—32no—
40C3×#937—34no—
41C3×D4×Dic3—32no—
42C3×D4×Dic3—61no—
43C3×#930—32no—
44C3×C4×#67—32no—
45#63980C2×C312yescomplemented
46#63976C2×C314yescomplemented
47#63914C2×C311yescharacteristic, complemented
48#63908C2×C312yescomplemented
49C4×#625C2×C311yescharacteristic, complemented
50C23×C33C2312yes—
51C22×C32×D3—28no—
52C22×C32×D3—28no—
53C22×C32×D3—44no—
54C22×C32×D3C2314yes—
55C22×C32×D3C2312yes—
56C33×D4D414yescomplemented
57C2×C33×C4C2311yescharacteristic
58C2×C3×C3⋊Dic3—24no—
59C2×C3×C3⋊Dic3C2311yescharacteristic
60C2×C3×C3⋊Dic3C2312yes—
61C2×C3×C3⋊Dic3C2311yescharacteristic
62C32×#67—28no—
63C2×C32×Dic3C2312yes—
64C32×D12—24no—
65C32×C4×D3—24no—
66C3×#625—28no—
67C3×#625—24no—
68C3×#625—42no—
69C3×#625D414yesdirect product factor
70C3×D42—91no—
71D4×#67—32no—
72C24×C32—34no—
73C23×C3×D3—24no—
74C23×C3×D3C2×D314yescomplemented
75C23×C3×D3C22×C314yescomplemented
76C2×C32×D4—21no—
77C2×C32×D4—22no—
78C2×C32×D4—34no—
79C2×C32×D4—32no—
80C2×C32×D4—41no—
81C2×C32×D4—68no—
82C2×C32×D4C2×D312yes—
83C2×C32×D4C22×C311yescharacteristic
84C22×C32×C4—32no—
85C22×C3⋊Dic3C22×C312yescomplemented
86C2×C3×#67—24no—
87C2×C3×#67—32no—
88C2×C3×#67—34no—
89C2×C3×#67—34no—
90C2×C3×#67—34no—
91C2×C3×#67—34no—
92C2×C3×#67—616no—
93C2×C3×#67C2×D314yescomplemented
94C2×C3×#67C22×C314yescomplemented
95C22×C3×Dic3—34no—
96C22×C3×Dic3—62no—
97C3×D3×D4—216no—
98C3×D3×D4—28no—
99C3×D3×D4—28no—
100C2×C3×D12—22no—
101C2×C3×D12C2×D312yescomplemented
102C2×C3×D12C22×C312yescomplemented
103C2×C3×C4×D3—22no—
104C2×C3×C4×D3C2×D312yescomplemented
105C2×C3×C4×D3C22×C312yescomplemented
106C2×#625—28no—
107C2×#625C22×C311yescharacteristic
108C2×#625C22×C314yescomplemented
109C2×#625C22×C312yescomplemented
110C2×#625C22×C312yescomplemented
111#3757C22×C312yescomplemented
112C4⋊(C3⋊Dic3)C22×C311yescharacteristic, complemented
113C4×C3⋊Dic3C22×C311yescharacteristic, complemented
114C3×#217—34no—
115C3×#217—32no—
116C3×#217—34no—
117C3×#217—62no—
118C3×(C2×D3)⋊C4—32no—
119C3×(C2×D3)⋊C4—34no—
120C3×C4⋊Dic3—32no—
121C3×C4⋊Dic3—61no—
122C3×Dic3⋊C4—32no—
123C3×C4×Dic3—32no—
124C3×C4×Dic3—61no—
125#3724C22×C311yescharacteristic, complemented
126(C2×D3)⋊Dic3C22×C312yescomplemented
127(C2×D3)⋊Dic3C22×C314yescomplemented
128C22×C33—22no—
129C22×C33—22no—
130C22×C33C2×D414yescomplemented
131C22×C33C2411yescharacteristic
132C2×C32×D3—22no—
133C2×C32×D3—22no—
134C2×C32×D3—24no—
135C2×C32×D3—24no—
136C2×C32×D3—24no—
137C2×C32×D3—416no—
138C2×C32×D3C2×D414yescomplemented
139C33×C4C2×D412yescomplemented
140C3×C3⋊Dic3—22no—
141C3×C3⋊Dic3—21no—
142C3×C3⋊Dic3C2×D412yescomplemented
143C32×Dic3—22no—
144C22×C3×D4—32no—
145C22×C3×D4—32no—
146C22×C3×D4—62no—
147C22×C3×D4—92no—
148C22×#67—34no—
149C2×D3×D4C3×D312yescomplemented
150C3×#127—91no—
151C3×#121—92no—
152C3×#121—92no—
153C3×#120—94no—
154C3×C4×D4—91no—
155C3×C4×D4—91no—
156#953—34no—
157#940—32no—
158#939—34no—
159#938—32no—
160#937—34no—
161D4×Dic3—32no—
162D4×Dic3—61no—
163#930—32no—
164C4×#67—32no—
165C23×C32—22no—
166C23×C32—24no—
167C23×C32—32no—
168C23×C32—34no—
169C23×C32—42no—
170C23×C32—68no—
171C23×C32—68no—
172C23×C32—124no—
173C23×C32C22×D314yes—
174C23×C32C23×C312yes—
175C22×C3×D3—216no—
176C22×C3×D3—28no—
177C22×C3×D3—28no—
178C22×C3×D3—28no—
179C22×C3×D3—28no—
180C22×C3×D3—22no—
181C22×C3×D3—24no—
182C22×C3×D3—48no—
183C22×C3×D3—44no—
184C22×C3×D3—44no—
185C22×C3×D3—48no—
186C22×C3×D3C22×D314yes—
187C22×C3×D3C22×D312yes—
188C22×C3×D3C23×C314yes—
189C22×C3×D3C23×C312yes—
190C32×D4—24no—
191C32×D4—28no—
192C32×D4—44no—
193C32×D4—68no—
194C32×D4—64no—
195C32×D4#6718yescomplemented
196C32×D4C3×D414yescomplemented
197C2×C32×C4—21no—
198C2×C32×C4—22no—
199C2×C32×C4—32no—
200C2×C32×C4—41no—
201C2×C32×C4—64no—
202C2×C32×C4C22×D312yes—
203C2×C32×C4C23×C311yescharacteristic
204C2×C3⋊Dic3—24no—
205C2×C3⋊Dic3C23×C311yescharacteristic
206C2×C3⋊Dic3C23×C312yes—
207C2×C3⋊Dic3C23×C311yescharacteristic
208C3×#67—216no—
209C3×#67—28no—
210C3×#67—28no—
211C3×#67—38no—
212C3×#67—68no—
213C3×#67—68no—
214C3×#67—68no—
215C3×#67—124no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—32no—
218C2×C3×Dic3—32no—
219C2×C3×Dic3—34no—
220C2×C3×Dic3—61no—
221C2×C3×Dic3—61no—
222C2×C3×Dic3—62no—
223C2×C3×Dic3—68no—
224C2×C3×Dic3—124no—
225C2×C3×Dic3C22×D312yes—
226C2×C3×Dic3C23×C312yes—
227C3×D12—28no—
228C3×D12—24no—
229C3×D12—24no—
230C3×C4×D3—28no—
231C3×C4×D3—24no—
232C3×C4×D3—24no—
233#625—28no—
234#625—24no—
235#625—42no—
236#625C3×D414yesdirect product factor
237D42—91noSylow
238C2×C33—24no—
239C2×C33C22×D411yescharacteristic
240C2×C33C22×D411yescharacteristic
241C2×C33H(5,𝔽2)11yescharacteristic
242C32×D3—24no—
243C32×D3—44no—
244C24×C3—34no—
245C24×C3—34no—
246C24×C3—64no—
247C23×D3C2×C3×D314yescomplemented
248C2×C3×D4—21no—
249C2×C3×D4—22no—
250C2×C3×D4—34no—
251C2×C3×D4—34no—
252C2×C3×D4—32no—
253C2×C3×D4—32no—
254C2×C3×D4—41no—
255C2×C3×D4—62no—
256C2×C3×D4—64no—
257C2×C3×D4—616no—
258C2×C3×D4—68no—
259C2×C3×D4—68no—
260C2×C3×D4—91no—
261C2×C3×D4—94no—
262C2×C3×D4—92no—
263C2×C3×D4—92no—
264C2×C3×D4—188no—
265C2×C3×D4D3211yescharacteristic
266C2×C3×D4C2×C3×D312yes—
267C22×C3×C4—32no—
268C22×C3×C4—32no—
269C22×C3×C4—62no—
270C22×C3×C4—92no—
271C2×#67—32no—
272C2×#67—34no—
273C2×#67—34no—
274C2×#67—34no—
275C2×#67—34no—
276C2×#67—616no—
277C2×#67C2×C3×D314yescomplemented
278C22×Dic3—34no—
279C22×Dic3—62no—
280D3×D4—28no—
281C2×D12C2×C3×D312yescomplemented
282C2×C4×D3C2×C3×D312yescomplemented
283C3×C4⋊C4—91no—
284C3×C4⋊C4—91no—
285C3×C22⋊C4—92no—
286C3×C22⋊C4—94no—
287C3×C22⋊C4—92no—
288C3×C42—91no—
289#217—34no—
290#217—32no—
291#217—34no—
292#217—62no—
293(C2×D3)⋊C4—32no—
294(C2×D3)⋊C4—34no—
295C4⋊Dic3—32no—
296C4⋊Dic3—61no—
297Dic3⋊C4—32no—
298C4×Dic3—32no—
299C4×Dic3—61no—
300C22×C32—24no—
301C22×C32—24no—
302C22×C32—22no—
303C22×C32—22no—
304C22×C32—21no—
305C22×C32—22no—
306C22×C32—24no—
307C22×C32—28no—
308C22×C32—34no—
309C22×C32—41no—
310C22×C32—44no—
311C22×C32—42no—
312C22×C32—44no—
313C22×C32—44no—
314C22×C32—42no—
315C22×C32—62no—
316C22×C32—62no—
317C22×C32—64no—
318C22×C32—64no—
319C22×C32—64no—
320C22×C32—82no—
321C22×C32—82no—
322C22×C32—1216no—
323C22×C32C2×#6718yescomplemented
324C22×C32C2×C3×D414yescomplemented
325C22×C32C23×D312yes—
326C22×C32C24×C311yescharacteristic
327C2×C3×D3—24no—
328C2×C3×D3—24no—
329C2×C3×D3—22no—
330C2×C3×D3—22no—
331C2×C3×D3—22no—
332C2×C3×D3—22no—
333C2×C3×D3—28no—
334C2×C3×D3—24no—
335C2×C3×D3—24no—
336C2×C3×D3—24no—
337C2×C3×D3—24no—
338C2×C3×D3—24no—
339C2×C3×D3—24no—
340C2×C3×D3—24no—
341C2×C3×D3—44no—
342C2×C3×D3—44no—
343C2×C3×D3—416no—
344C2×C3×D3—416no—
345C2×C3×D3—432no—
346C2×C3×D3D3×D414yescomplemented
347C2×C3×D3C2×C3×D414yescomplemented
348C32×C4—22no—
349C32×C4—24no—
350C32×C4—42no—
351C32×C4—62no—
352C32×C4C2×#6714yescomplemented
353C32×C4C2×C3×D412yescomplemented
354C3⋊Dic3—22no—
355C3⋊Dic3—21no—
356C3⋊Dic3C2×C3×D412yescomplemented
357C3×Dic3—24no—
358C3×Dic3—22no—
359C3×Dic3—22no—
360C3×Dic3—34no—
361C3×Dic3—62no—
362C3×Dic3—64no—
363C3×Dic3—62no—
364C3×Dic3—121no—
365C3×Dic3—122no—
366C22×D4—32no—
367C22×D4—92no—
368#127—91no—
369#121—92no—
370#121—92no—
371#120—94no—
372C4×D4—91no—
373C4×D4—91no—
374C33D4211yescharacteristic, complemented, Sylow
375C23×C3—24no—
376C23×C3—22no—
377C23×C3—32no—
378C23×C3—32no—
379C23×C3—34no—
380C23×C3—34no—
381C23×C3—42no—
382C23×C3—62no—
383C23×C3—64no—
384C23×C3—68no—
385C23×C3—68no—
386C23×C3—616no—
387C23×C3—68no—
388C23×C3—68no—
389C23×C3—128no—
390C23×C3—124no—
391C23×C3—124no—
392C23×C3—128no—
393C23×C3C2×D3212yes—
394C23×C3C22×C3×D314yes—
395C22×D3—28no—
396C22×D3—28no—
397C22×D3—44no—
398C22×D3C22×C3×D314yes—
399C22×D3C22×C3×D312yes—
400C3×D4—28no—
401C3×D4—24no—
402C3×D4—44no—
403C3×D4—68no—
404C3×D4—616no—
405C3×D4—68no—
406C3×D4—68no—
407C3×D4—64no—
408C3×D4—64no—
409C3×D4—94no—
410C3×D4—184no—
411C3×D4—188no—
412C3×D4—362no—
413C3×D4#62514yesdirect product factor
414C3×D4C3×#6718yescomplemented
415C2×C3×C4—22no—
416C2×C3×C4—21no—
417C2×C3×C4—32no—
418C2×C3×C4—32no—
419C2×C3×C4—41no—
420C2×C3×C4—62no—
421C2×C3×C4—68no—
422C2×C3×C4—64no—
423C2×C3×C4—64no—
424C2×C3×C4—91no—
425C2×C3×C4—91no—
426C2×C3×C4—92no—
427C2×C3×C4—184no—
428C2×C3×C4C2×D3211yescharacteristic
429C2×C3×C4C22×C3×D312yes—
430#67—28no—
431#67—38no—
432#67—68no—
433#67—68no—
434#67—68no—
435#67—124no—
436C2×Dic3—32no—
437C2×Dic3—32no—
438C2×Dic3—34no—
439C2×Dic3—61no—
440C2×Dic3—61no—
441C2×Dic3—62no—
442C2×Dic3—68no—
443C2×Dic3—124no—
444C2×Dic3C22×C3×D312yes—
445D12—24no—
446C4×D3—24no—
447C2×C32—28no—
448C2×C32—24no—
449C2×C32—21no—
450C2×C32—21no—
451C2×C32—21no—
452C2×C32—22no—
453C2×C32—22no—
454C2×C32—22no—
455C2×C32—41no—
456C2×C32—41no—
457C2×C32—41no—
458C2×C32—48no—
459C2×C32—44no—
460C2×C32—64no—
461C2×C32—84no—
462C2×C32—124no—
463C2×C32C2×D3×D412yes—
464C2×C32#100412yes—
465C2×C32C22×#6712yes—
466C2×C32C22×C3×D411yescharacteristic
467C2×C32C22×C3×D411yescharacteristic
468C2×C32C3×H(5,𝔽2)11yescharacteristic
469C3×D3—28no—
470C3×D3—24no—
471C3×D3—24no—
472C3×D3—48no—
473C3×D3—44no—
474C3×D3—44no—
475C24—34no—
476C2×D4—34no—
477C2×D4—32no—
478C2×D4—68no—
479C2×D4—91no—
480C2×D4—94no—
481C2×D4—92no—
482C2×D4—92no—
483C2×D4—188no—
484C2×D4C3×D3211yescharacteristic
485C22×C4—32no—
486C22×C4—92no—
487C4⋊C4—91no—
488C4⋊C4—91no—
489C22⋊C4—92no—
490C22⋊C4—94no—
491C22⋊C4—92no—
492C42—91no—
493C22×C3—22no—
494C22×C3—22no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—21no—
498C22×C3—22no—
499C22×C3—28no—
500C22×C3—24no—
501C22×C3—34no—
502C22×C3—34no—
503C22×C3—42no—
504C22×C3—44no—
505C22×C3—44no—
506C22×C3—42no—
507C22×C3—41no—
508C22×C3—44no—
509C22×C3—64no—
510C22×C3—64no—
511C22×C3—64no—
512C22×C3—68no—
513C22×C3—62no—
514C22×C3—62no—
515C22×C3—62no—
516C22×C3—62no—
517C22×C3—64no—
518C22×C3—64no—
519C22×C3—64no—
520C22×C3—64no—
521C22×C3—64no—
522C22×C3—64no—
523C22×C3—82no—
524C22×C3—82no—
525C22×C3—124no—
526C22×C3—124no—
527C22×C3—1216no—
528C22×C3—1216no—
529C22×C3—1232no—
530C22×C3C2×#62514yescomplemented
531C22×C3C2×C3×#6718yescomplemented
532C22×C3C22×D3211yescharacteristic
533C22×C3C23×C3×D312yes—
534C2×D3—22no—
535C2×D3—22no—
536C2×D3—24no—
537C2×D3—24no—
538C2×D3—24no—
539C2×D3—416no—
540C2×D3C3×D3×D414yescomplemented
541C3×C4—24no—
542C3×C4—22no—
543C3×C4—42no—
544C3×C4—64no—
545C3×C4—62no—
546C3×C4—62no—
547C3×C4—92no—
548C3×C4—182no—
549C3×C4—181no—
550C3×C4C2×#62512yescomplemented
551C3×C4C2×C3×#6714yescomplemented
552Dic3—22no—
553Dic3—34no—
554Dic3—62no—
555Dic3—64no—
556Dic3—62no—
557Dic3—122no—
558Dic3—121no—
559C32—22no—
560C32—21no—
561C32—41no—
562C32D4×#6712yescomplemented
563C32C3×D4211yescharacteristic, complemented
564C23—32no—
565C23—34no—
566C23—68no—
567C23—68no—
568C23—124no—
569C23C2×C3×D3212yes—
570D4—68no—
571D4—64no—
572D4—94no—
573D4—184no—
574D4—188no—
575D4—362no—
576D4C3×#62514yesdirect product factor
577C2×C4—32no—
578C2×C4—64no—
579C2×C4—91no—
580C2×C4—91no—
581C2×C4—92no—
582C2×C4—184no—
583C2×C4C2×C3×D3211yescharacteristic
584C2×C3—28no—
585C2×C3—24no—
586C2×C3—22no—
587C2×C3—21no—
588C2×C3—21no—
589C2×C3—22no—
590C2×C3—21no—
591C2×C3—22no—
592C2×C3—48no—
593C2×C3—44no—
594C2×C3—41no—
595C2×C3—41no—
596C2×C3—41no—
597C2×C3—68no—
598C2×C3—64no—
599C2×C3—64no—
600C2×C3—84no—
601C2×C3—128no—
602C2×C3—124no—
603C2×C3—124no—
604C2×C3D32×D411yescharacteristic
605C2×C3#6431311yescharacteristic
606C2×C3C22×#62511yescharacteristic
607C2×C3C2×C3×D3×D412yes—
608C2×C3C3×#100412yes—
609C2×C3C22×C3×#6712yes—
610D3—24no—
611D3—44no—
612C22—22no—
613C22—22no—
614C22—34no—
615C22—62no—
616C22—62no—
617C22—64no—
618C22—64no—
619C22—64no—
620C22—1216no—
621C22C2×C3×#62514yescomplemented
622C22C22×C3×D3211yescharacteristic
623C4—62no—
624C4—92no—
625C4—182no—
626C4—181no—
627C4C2×C3×#62512yescomplemented
628C3—22no—
629C3—21no—
630C3—41no—
631C3D4×#62511yescharacteristic, direct product factor
632C3C3×D4×#6712yescomplemented
633C2—24no—
634C2—64no—
635C2—124no—
636C2C3×D32×D411yescharacteristic
637C2C3×#6431311yescharacteristic
638C2C22×C3×#62511yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×C3×D4D32
hypocenterC32C3×D42
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
1. C2×C32×D3×D4C2semidirect
2. C22×C3×#625C2semidirect
3. C3×D4×C3⋊Dic3C2semidirect
4. C3×#63980C2semidirect
5. C3×#63976C2semidirect
6. C3×#63914C2semidirect
7. C3×#63908C2semidirect
8. C3×C4×#625C2semidirect
10. D4×#625C3direct (N × H)
11. C23×C32×D3C22semidirect
13. C22×C3×C3⋊Dic3C22semidirect
14. C2×C32×#67C22semidirect
16. C2×C32×D12C22semidirect
17. C2×C32×C4×D3C22semidirect
20. C2×C3×#625C22semidirect
21. C2×C3×#625C22semidirect
22. C2×C3×#625C22semidirect
23. C3×#3757C22semidirect
24. C3×C4⋊(C3⋊Dic3)C22semidirect
25. C3×C4×C3⋊Dic3C22semidirect
26. C3×#3724C22semidirect
27. C3×(C2×D3)⋊Dic3C22semidirect
28. C3×(C2×D3)⋊Dic3C22semidirect
32. C2×C3×D3×D4D3semidirect
33. C2×C3×D3×D4C2×C3semidirect
34. C22×#625C2×C3semidirect
35. D4×C3⋊Dic3C2×C3semidirect
45. #63980C2×C3semidirect
46. #63976C2×C3semidirect
47. #63914C2×C3semidirect
48. #63908C2×C3semidirect
49. C4×#625C2×C3semidirect
56. C33×D4D4semidirect
69. C3×#625D4direct (N × H)
74. C23×C3×D3C2×D3semidirect
75. C23×C3×D3C22×C3semidirect
85. C22×C3⋊Dic3C22×C3semidirect
93. C2×C3×#67C2×D3semidirect
94. C2×C3×#67C22×C3semidirect
101. C2×C3×D12C2×D3semidirect
102. C2×C3×D12C22×C3semidirect
104. C2×C3×C4×D3C2×D3semidirect
105. C2×C3×C4×D3C22×C3semidirect
108. C2×#625C22×C3semidirect
109. C2×#625C22×C3semidirect
110. C2×#625C22×C3semidirect
111. #3757C22×C3semidirect
112. C4⋊(C3⋊Dic3)C22×C3semidirect
113. C4×C3⋊Dic3C22×C3semidirect
125. #3724C22×C3semidirect
126. (C2×D3)⋊Dic3C22×C3semidirect
127. (C2×D3)⋊Dic3C22×C3semidirect
130. C22×C33C2×D4semidirect
138. C2×C32×D3C2×D4semidirect
139. C33×C4C2×D4semidirect
142. C3×C3⋊Dic3C2×D4semidirect
149. C2×D3×D4C3×D3semidirect
195. C32×D4#67semidirect
196. C32×D4C3×D4semidirect
236. #625C3×D4direct (N × H)
247. C23×D3C2×C3×D3semidirect
277. C2×#67C2×C3×D3semidirect
281. C2×D12C2×C3×D3semidirect
282. C2×C4×D3C2×C3×D3semidirect
323. C22×C32C2×#67semidirect
324. C22×C32C2×C3×D4semidirect
346. C2×C3×D3D3×D4semidirect
347. C2×C3×D3C2×C3×D4semidirect
352. C32×C4C2×#67semidirect
353. C32×C4C2×C3×D4semidirect
356. C3⋊Dic3C2×C3×D4semidirect
374. C33D42semidirect
413. C3×D4#625direct (N × H)
414. C3×D4C3×#67semidirect
530. C22×C3C2×#625semidirect
531. C22×C3C2×C3×#67semidirect
540. C2×D3C3×D3×D4semidirect
550. C3×C4C2×#625semidirect
551. C3×C4C2×C3×#67semidirect
562. C32D4×#67semidirect
563. C32C3×D42semidirect
576. D4C3×#625direct (N × H)
621. C22C2×C3×#625semidirect
627. C4C2×C3×#625semidirect
631. C3D4×#625direct (N × H)
632. C3C3×D4×#67semidirect

Maximal subgroups

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

subgroupindex
C2×C32×D3×D42
C22×C3×#6252
C3×D4×C3⋊Dic32
C3×#639802
C3×#639762
C3×#639142
C3×#639082
C3×C4×#6252
C3×D4×#673
D4×#6253