Finite Group Databasebeta

← C2×D3×#476 #11662646

Subgroups — C2×D3×#476 #11662646

Order 768.

2790 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×C4⋊Q8C211yesmaximal, characteristic, complemented
2C2×C4×D3×D4C211yesmaximal, characteristic
3C2×C3×#476C211yesmaximal, characteristic, complemented
4C2×#5084C211yesmaximal, characteristic, complemented
5C2×#5008C211yesmaximal, characteristic, complemented
6D3×#476C2116yesmaximal, direct product factor
7C2×#4870C212yesmaximal, complemented
8C2×D3×#106C212yesmaximal, complemented
9C2×#4842C211yesmaximal, characteristic, complemented
10C2×D3×C4⋊C8C211yesmaximal, characteristic, complemented
11C2×D3×#102C212yesmaximal
12C2×#4761C212yesmaximal, complemented
13C22×#476—31nomaximal, Sylow
14C22×D3×Q8—21no—
15C22×D3×D4C2211yescharacteristic
16C23×C4×D3—21no—
17C2×C3×C4⋊Q8C2211yescharacteristic, complemented
18C2×C3×C4×D4C2211yescharacteristic
19C2×#944—21no—
20C2×D4×Dic3C2211yescharacteristic
21C2×C4×#67—21no—
22C22×D3×C8C2212yes—
23D3×C4⋊Q8—24no—
24D3×C4⋊Q8C2218yescomplemented
25C4×D3×D4—24no—
26C4×D3×D4C2218yes—
27C2×#893C2211yescharacteristic
28C2×D3×C4⋊C4—21no—
29C2×D3×C4⋊C4C2211yescharacteristic
30C2×D3×C4⋊C4C2212yes—
31C2×#888—21no—
32C2×#888C2212yescomplemented
33C2×#67⋊C4—21no—
34C2×D3×C22⋊C4—21no—
35C2×C4×D12C2211yescharacteristic
36C2×C42×D3C2211yescharacteristic
37C2×#869C2211yescharacteristic, complemented
38C3×#476C2218yescomplemented
39C2×C3×#106C2212yescomplemented
40C2×C3×C4⋊C8C2211yescharacteristic, complemented
41C2×C3×#102C2212yes—
42C2×#832C2212yes—
43C2×#821C2212yes—
44C2×#817C2212yescomplemented
45C2×Dic3⋊C8C2212yescomplemented
46#5084C2218yescomplemented
47#5008C2218yescomplemented
48C2×#809C2212yes—
49C2×#808C2212yescomplemented
50C2×#808C2212yescomplemented
51C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
52#4870C22116yescomplemented
53D3×#106C22116yescomplemented
54#4842C2218yescomplemented
55D3×C4⋊C8C2218yescomplemented
56D3×#102C22116yes—
57#4761C22116yescomplemented
58C22×C4⋊Q8—31no—
59C22×C4×D4—31no—
60C2×#476—316no—
61C2×#476—32no—
62C2×#476—31no—
63C2×#476—32no—
64C2×#476—31no—
65C2×#476—31no—
66C2×#476D311yescharacteristic, direct product factor
67C22×#106—32no—
68C22×C4⋊C8—31no—
69C22×#102—32no—
70C24×D3—21no—
71C22×C3×Q8—21no—
72C22×C3×D4C2311yescharacteristic
73C23×C3×C4—21no—
74C22×#67—21no—
75C23×Dic3—21no—
76C2×D3×Q8—28no—
77C2×D3×Q8—48no—
78C2×D3×D4—22no—
79C2×D3×D4—24no—
80C2×D3×D4Q818yescomplemented
81C2×D3×D4C2314yes—
82C22×D12C2311yescharacteristic
83C22×C4×D3—21no—
84C22×C4×D3—22no—
85C22×C4×D3—21no—
86C22×C4×D3—21no—
87C22×C4×D3—28no—
88C22×C4×D3—48no—
89C22×C4×D3D411yescharacteristic
90C22×C4×D3D411yescharacteristic
91C22×C4×D3C2311yescharacteristic
92C22×Dic6—21no—
93C22×Dic6—22no—
94C22×C3×C8C2312yes—
95C3×C4⋊Q8—22no—
96C3×C4⋊Q8C2314yescomplemented
97C3×C4×D4—22no—
98C3×C4×D4C2314yes—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2312yes—
102C2×C3×C22⋊C4—21no—
103C2×C3×C42C2311yescharacteristic
104C2×#217—21no—
105#944—28no—
106D4×Dic3—22no—
107D4×Dic3C2314yes—
108C4×#67—28no—
109C2×(C2×D3)⋊C4—21no—
110C2×(C2×D3)⋊C4—21no—
111C2×C4⋊Dic3—21no—
112C2×C4⋊Dic3C2312yes—
113C2×C4⋊Dic3C2311yescharacteristic
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4—22no—
116C2×Dic3⋊C4—22no—
117C2×C4×Dic3D411yescharacteristic
118C2×C4×Dic3D411yescharacteristic
119C2×C4×Dic3C2311yescharacteristic
120C22×C3⋊C8C2312yes—
121C2×D3×C8—28no—
122C2×D3×C8C2318yes—
123#893—22no—
124#893C2314yes—
125D3×C4⋊C4—24no—
126D3×C4⋊C4—28no—
127D3×C4⋊C4—22no—
128D3×C4⋊C4C2318yes—
129D3×C4⋊C4C2314yes—
130#888—24no—
131#888—28no—
132#888C2318yescomplemented
133#67⋊C4—28no—
134D3×C22⋊C4—28no—
135C4×D12—22no—
136C4×D12C2314yes—
137C42×D3D414yes—
138C42×D3C2314yes—
139#869—22no—
140#869C2314yescomplemented
141C3×#106C2318yescomplemented
142C3×C4⋊C8C2314yescomplemented
143C3×#102C2318yes—
144#832C2318yes—
145#821C2318yes—
146#817C2318yescomplemented
147Dic3⋊C8C2318yescomplemented
148#809C2318yes—
149#808C2318yescomplemented
150#808C2318yescomplemented
151C4⋊(C3⋊C8)C2314yescomplemented
152C23×Q8—61no—
153C23×D4—31no—
154C24×C4—61no—
155C23×C8—32no—
156C2×C4⋊Q8—38no—
157C2×C4⋊Q8—32no—
158C2×C4⋊Q8—31no—
159C2×C4⋊Q8—61no—
160C2×C4⋊Q8—64no—
161C2×C4⋊Q8—61no—
162C2×C4⋊Q8C2×D311yescharacteristic, complemented
163C2×C4×D4—31no—
164C2×C4×D4—38no—
165C2×C4×D4—31no—
166C2×C4×D4—31no—
167C2×C4×D4—61no—
168C2×C4×D4—64no—
169C2×C4×D4—61no—
170C2×C4×D4C2×D311yescharacteristic
171C22×C4⋊C4—32no—
172C22×C4⋊C4—31no—
173C22×C4⋊C4—61no—
174C22×C22⋊C4—61no—
175C22×C42—31no—
176#476—38no—
177#476—38no—
178#476—316no—
179#476—38no—
180#476—316no—
181#476C2×D318yesdirect product factor
182C2×#106—32no—
183C2×#106—32no—
184C2×#106—32no—
185C2×#106—316no—
186C2×#106C2×D312yescomplemented
187C2×C4⋊C8—32no—
188C2×C4⋊C8—31no—
189C2×C4⋊C8—38no—
190C2×C4⋊C8C2×D311yescharacteristic, complemented
191C2×#102—32no—
192C2×#102—32no—
193C2×#102—32no—
194C2×#102—316no—
195C2×#102C2×D312yes—
196C24×C3—21no—
197C23×D3—21no—
198C23×D3—28no—
199C23×D3—24no—
200C23×D3—44no—
201C23×D3—44no—
202C23×D3C2×D411yescharacteristic
203C2×C3×Q8—24no—
204C2×C3×Q8—44no—
205C2×C3×D4—21no—
206C2×C3×D4—22no—
207C2×C3×D4C2×Q814yescomplemented
208C2×C3×D4C2412yes—
209C22×C3×C4—22no—
210C22×C3×C4—21no—
211C22×C3×C4—24no—
212C22×C3×C4—44no—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2411yescharacteristic
216C2×#67—28no—
217C2×#67—24no—
218C22×Dic3—22no—
219C22×Dic3—21no—
220C22×Dic3—24no—
221C22×Dic3—44no—
222C22×Dic3C2×D411yescharacteristic
223C22×Dic3C2×D411yescharacteristic
224C22×Dic3C2×D411yescharacteristic
225D3×Q8—432no—
226D3×D4—216no—
227D3×D4—28no—
228D3×D4C2×Q8116yescomplemented
229C2×D12—21no—
230C2×D12—22no—
231C2×D12C2×Q814yescomplemented
232C2×D12C2412yes—
233C2×C4×D3—24no—
234C2×C4×D3—24no—
235C2×C4×D3—28no—
236C2×C4×D3—24no—
237C2×C4×D3—24no—
238C2×C4×D3—44no—
239C2×C4×D3—48no—
240C2×C4×D3—44no—
241C2×C4×D3—44no—
242C2×C4×D3—432no—
243C2×C4×D3SD1618yes—
244C2×C4×D3C2×D414yes—
245C2×C4×D3C2×D412yes—
246C2×C4×D3C2×D414yes—
247C2×C4×D3C2×Q814yes—
248C2×C4×D3#4114yes—
249C2×C4×D3C2412yes—
250C2×Dic6—24no—
251C2×Dic6—28no—
252C2×Dic6—48no—
253C2×Dic6—44no—
254C2×C3×C8—24no—
255C2×C3×C8C2414yes—
256C3×C4⋊C4—24no—
257C3×C4⋊C4—22no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4C2412yes—
260C3×C4⋊C4C2414yes—
261C3×C22⋊C4—24no—
262C3×C42C2×D412yes—
263C3×C42C2412yes—
264#217—24no—
265(C2×D3)⋊C4—24no—
266(C2×D3)⋊C4—24no—
267C4⋊Dic3—22no—
268C4⋊Dic3—24no—
269C4⋊Dic3—21no—
270C4⋊Dic3C2412yes—
271C4⋊Dic3C2414yes—
272Dic3⋊C4—24no—
273Dic3⋊C4—28no—
274Dic3⋊C4—28no—
275C4×Dic3C2×D412yes—
276C4×Dic3C2×D414yes—
277C4×Dic3C2×D414yes—
278C4×Dic3C2412yes—
279C2×C3⋊C8—24no—
280C2×C3⋊C8C2414yes—
281D3×C8—216no—
282C25—61no—
283C22×Q8—21no—
284C22×Q8—62no—
285C22×Q8—68no—
286C22×Q8—61no—
287C22×Q8—128no—
288C22×D4—38no—
289C22×D4—34no—
290C22×D4—31no—
291C22×D4—62no—
292C22×D4—64no—
293C22×D4—61no—
294C22×D4C22×D311yescharacteristic
295C23×C4—21no—
296C23×C4—31no—
297C23×C4—31no—
298C23×C4—31no—
299C23×C4—61no—
300C23×C4—68no—
301C23×C4—61no—
302C23×C4—62no—
303C23×C4—61no—
304C23×C4—61no—
305C23×C4—128no—
306C22×C8—32no—
307C22×C8—38no—
308C22×C8—68no—
309C22×C8C22×D312yes—
310C4⋊Q8—22no—
311C4⋊Q8—38no—
312C4⋊Q8—34no—
313C4⋊Q8—68no—
314C4⋊Q8—64no—
315C4⋊Q8—68no—
316C4⋊Q8—62no—
317C4⋊Q8C22×D314yescomplemented
318C4×D4—22no—
319C4×D4—34no—
320C4×D4—34no—
321C4×D4—34no—
322C4×D4—68no—
323C4×D4—62no—
324C4×D4—68no—
325C4×D4—62no—
326C4×D4—62no—
327C4×D4C22×D314yes—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—32no—
331C2×C4⋊C4—34no—
332C2×C4⋊C4—38no—
333C2×C4⋊C4—62no—
334C2×C4⋊C4—64no—
335C2×C4⋊C4—68no—
336C2×C4⋊C4—61no—
337C2×C4⋊C4—62no—
338C2×C4⋊C4—62no—
339C2×C4⋊C4—61no—
340C2×C4⋊C4C22×D311yescharacteristic
341C2×C4⋊C4C22×D312yes—
342C2×C22⋊C4—21no—
343C2×C22⋊C4—68no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C42—31no—
348C2×C42—31no—
349C2×C42—31no—
350C2×C42—34no—
351C2×C42—34no—
352C2×C42C22×D311yescharacteristic
353#106—38no—
354#106—38no—
355#106—38no—
356#106C22×D318yescomplemented
357C4⋊C8—38no—
358C4⋊C8—34no—
359C4⋊C8C22×D314yescomplemented
360#102—38no—
361#102—38no—
362#102—38no—
363#102C22×D318yes—
364C23×C3—24no—
365C23×C3—22no—
366C23×C3—42no—
367C23×C3—42no—
368C23×C3C22×D411yescharacteristic
369C22×D3—24no—
370C22×D3—22no—
371C22×D3—216no—
372C22×D3—42no—
373C22×D3—42no—
374C22×D3—48no—
375C22×D3—48no—
376C22×D3—432no—
377C22×D3C22⋊Q814yes—
378C22×D3C2×SD1614yes—
379C22×D3AGL(1,ℤ/8)14yes—
380C22×D3C22×D412yes—
381C3×Q8—48no—
382C3×D4—24no—
383C3×D4—22no—
384C3×D4C22×Q814yescomplemented
385C2×C3×C4—22no—
386C2×C3×C4—24no—
387C2×C3×C4—22no—
388C2×C3×C4—42no—
389C2×C3×C4—44no—
390C2×C3×C4—48no—
391C2×C3×C4C2×SD1614yes—
392C2×C3×C4C22×D412yes—
393C2×C3×C4C22×D411yescharacteristic
394C2×C3×C4C22×D412yes—
395C2×C3×C4C22×Q812yes—
396C2×C3×C4C2×#4112yes—
397C2×C3×C4C2511yescharacteristic
398#67—216no—
399C2×Dic3—22no—
400C2×Dic3—24no—
401C2×Dic3—22no—
402C2×Dic3—42no—
403C2×Dic3—44no—
404C2×Dic3—48no—
405C2×Dic3C22⋊Q814yes—
406C2×Dic3C2×SD1614yes—
407C2×Dic3C22×D412yes—
408C2×Dic3C22×D412yes—
409C2×Dic3C22×D412yes—
410D12—24no—
411D12—22no—
412D12C22×Q814yescomplemented
413C4×D3—28no—
414C4×D3—48no—
415C4×D3—416no—
416C4×D3—48no—
417C4×D3—48no—
418C4×D3C22⋊Q818yes—
419C4×D3C2×SD16116yes—
420C4×D3C22×Q814yes—
421C4×D3C2×#4114yes—
422Dic6—416no—
423Dic6—48no—
424C3×C8—24no—
425C3⋊C8—24no—
426C24—21no—
427C24—31no—
428C24—64no—
429C24—68no—
430C24—61no—
431C24—124no—
432C24—124no—
433C2×Q8—24no—
434C2×Q8—44no—
435C2×Q8—68no—
436C2×Q8—64no—
437C2×Q8—124no—
438C2×Q8—128no—
439C2×Q8—1232no—
440C2×D4—21no—
441C2×D4—22no—
442C2×D4—316no—
443C2×D4—34no—
444C2×D4—32no—
445C2×D4—68no—
446C2×D4—616no—
447C2×D4—64no—
448C2×D4—68no—
449C2×D4—61no—
450C2×D4—62no—
451C2×D4D3×Q814yescomplemented
452C2×D4C23×D312yes—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—31no—
457C22×C4—31no—
458C22×C4—38no—
459C22×C4—32no—
460C22×C4—34no—
461C22×C4—34no—
462C22×C4—34no—
463C22×C4—32no—
464C22×C4—31no—
465C22×C4—34no—
466C22×C4—44no—
467C22×C4—64no—
468C22×C4—64no—
469C22×C4—64no—
470C22×C4—68no—
471C22×C4—64no—
472C22×C4—61no—
473C22×C4—62no—
474C22×C4—64no—
475C22×C4—124no—
476C22×C4—1232no—
477C22×C4—124no—
478C22×C4—124no—
479C22×C4—128no—
480C22×C4—124no—
481C22×C4D3×D411yescharacteristic
482C22×C4D3×D411yescharacteristic
483C22×C4C23×D311yescharacteristic
484C2×C8—24no—
485C2×C8—34no—
486C2×C8—616no—
487C2×C8—64no—
488C2×C8C23×D314yes—
489C4⋊C4—24no—
490C4⋊C4—21no—
491C4⋊C4—22no—
492C4⋊C4—34no—
493C4⋊C4—32no—
494C4⋊C4—64no—
495C4⋊C4—68no—
496C4⋊C4—68no—
497C4⋊C4—61no—
498C4⋊C4—62no—
499C4⋊C4—64no—
500C4⋊C4C23×D314yes—
501C4⋊C4C23×D312yes—
502C22⋊C4—24no—
503C22⋊C4—64no—
504C22⋊C4—64no—
505C22⋊C4—64no—
506C42—34no—
507C42—34no—
508C42—32no—
509C42—32no—
510C42D3×D412yes—
511C42C23×D312yes—
512C22×C3—24no—
513C22×C3—42no—
514C22×C3—42no—
515C22×C3—48no—
516C22×C3C2×C22⋊Q812yes—
517C22×C3C22×SD1612yes—
518C22×C3C2×AGL(1,ℤ/8)12yes—
519C22×C3C23×D411yescharacteristic
520C2×D3—24no—
521C2×D3—42no—
522C2×D3—42no—
523C2×D3—48no—
524C2×D3—432no—
525C2×D3#476116yesdirect product factor
526C2×D3C2×C22⋊Q814yes—
527C2×D3C22×SD1614yes—
528C2×D3C2×AGL(1,ℤ/8)14yes—
529C3×C4—22no—
530C3×C4—42no—
531C3×C4—44no—
532C3×C4C2×C22⋊Q812yes—
533C3×C4C22×SD1614yes—
534C3×C4C23×Q811yescharacteristic
535C3×C4C22×#4111yescharacteristic
536Dic3—22no—
537Dic3—42no—
538Dic3—44no—
539Dic3C2×C22⋊Q814yes—
540Dic3C22×SD1614yes—
541C23—22no—
542C23—24no—
543C23—32no—
544C23—34no—
545C23—34no—
546C23—34no—
547C23—42no—
548C23—42no—
549C23—616no—
550C23—62no—
551C23—64no—
552C23—128no—
553C23—128no—
554C23—1232no—
555C23—122no—
556C23—122no—
557C23C2×D3×D411yescharacteristic
558Q8—48no—
559Q8—128no—
560Q8—1216no—
561D4—22no—
562D4—24no—
563D4—34no—
564D4—616no—
565D4—62no—
566D4—64no—
567D4C2×D3×Q814yescomplemented
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—32no—
572C2×C4—32no—
573C2×C4—34no—
574C2×C4—34no—
575C2×C4—34no—
576C2×C4—34no—
577C2×C4—316no—
578C2×C4—38no—
579C2×C4—32no—
580C2×C4—42no—
581C2×C4—44no—
582C2×C4—48no—
583C2×C4—68no—
584C2×C4—62no—
585C2×C4—62no—
586C2×C4—64no—
587C2×C4—128no—
588C2×C4—128no—
589C2×C4—128no—
590C2×C4—1216no—
591C2×C4—122no—
592C2×C4—124no—
593C2×C4—128no—
594C2×C4D3×SD1614yes—
595C2×C4C2×D3×D412yes—
596C2×C4C2×D3×D412yes—
597C2×C4C2×D3×D411yescharacteristic
598C2×C4C2×D3×Q812yes—
599C2×C4D3×#4112yes—
600C2×C4C24×D311yescharacteristic
601C8—24no—
602C8—64no—
603C2×C3—44no—
604C2×C3C2×#47614yescomplemented
605C2×C3C22×C22⋊Q811yescharacteristic
606C2×C3C23×SD1611yescharacteristic
607C2×C3C22×AGL(1,ℤ/8)11yescharacteristic
608D3—44no—
609D3C2×#47618yesdirect product factor
610C22—24no—
611C22—34no—
612C22—34no—
613C22—316no—
614C22—34no—
615C22—42no—
616C22—42no—
617C22—48no—
618C22—64no—
619C22—1232no—
620C22—122no—
621C22—122no—
622C22—128no—
623C22D3×C22⋊Q812yes—
624C22C2×D3×SD1612yes—
625C22D3×AGL(1,ℤ/8)12yes—
626C22C22×D3×D411yescharacteristic
627C4—22no—
628C4—34no—
629C4—34no—
630C4—42no—
631C4—44no—
632C4—62no—
633C4—122no—
634C4—124no—
635C4D3×C22⋊Q812yes—
636C4C2×D3×SD1614yes—
637C4C22×D3×Q811yescharacteristic
638C4C2×D3×#4111yescharacteristic
639C3C22×#47611yescharacteristic, complemented, Sylow
640C2—38no—
641C2—44no—
642C2—124no—
643C2D3×#47614yesdirect product factor
644C2C2×D3×C22⋊Q811yescharacteristic
645C2C22×D3×SD1611yescharacteristic
646C2C2×D3×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#476C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenterC2×#476D3
hypocenterC3C22×#476
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#476

Complements

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

NH ≅ G/Ntype
1. C2×D3×C4⋊Q8C2semidirect
3. C2×C3×#476C2semidirect
4. C2×#5084C2semidirect
5. C2×#5008C2semidirect
6. D3×#476C2direct (N × H)
7. C2×#4870C2semidirect
8. C2×D3×#106C2semidirect
9. C2×#4842C2semidirect
10. C2×D3×C4⋊C8C2semidirect
12. C2×#4761C2semidirect
17. C2×C3×C4⋊Q8C22semidirect
24. D3×C4⋊Q8C22semidirect
32. C2×#888C22semidirect
37. C2×#869C22semidirect
38. C3×#476C22semidirect
39. C2×C3×#106C22semidirect
40. C2×C3×C4⋊C8C22semidirect
44. C2×#817C22semidirect
45. C2×Dic3⋊C8C22semidirect
46. #5084C22semidirect
47. #5008C22semidirect
49. C2×#808C22semidirect
50. C2×#808C22semidirect
51. C2×C4⋊(C3⋊C8)C22semidirect
52. #4870C22semidirect
53. D3×#106C22semidirect
54. #4842C22semidirect
55. D3×C4⋊C8C22semidirect
57. #4761C22semidirect
66. C2×#476D3direct (N × H)
80. C2×D3×D4Q8semidirect
96. C3×C4⋊Q8C23semidirect
132. #888C23semidirect
140. #869C23semidirect
141. C3×#106C23semidirect
142. C3×C4⋊C8C23semidirect
146. #817C23semidirect
147. Dic3⋊C8C23semidirect
149. #808C23semidirect
150. #808C23semidirect
151. C4⋊(C3⋊C8)C23semidirect
162. C2×C4⋊Q8C2×D3semidirect
181. #476C2×D3direct (N × H)
186. C2×#106C2×D3semidirect
190. C2×C4⋊C8C2×D3semidirect
207. C2×C3×D4C2×Q8semidirect
228. D3×D4C2×Q8semidirect
231. C2×D12C2×Q8semidirect
317. C4⋊Q8C22×D3semidirect
356. #106C22×D3semidirect
359. C4⋊C8C22×D3semidirect
384. C3×D4C22×Q8semidirect
412. D12C22×Q8semidirect
451. C2×D4D3×Q8semidirect
525. C2×D3#476direct (N × H)
567. D4C2×D3×Q8semidirect
604. C2×C3C2×#476semidirect
609. D3C2×#476direct (N × H)
639. C3C22×#476semidirect
643. C2D3×#476direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D3×C4⋊Q82
C2×C4×D3×D42
C2×C3×#4762
C2×#50842
C2×#50082
D3×#4762
C2×#48702
C2×D3×#1062
C2×#48422
C2×D3×C4⋊C82
C2×D3×#1022
C2×#47612
C22×#4763