Finite Group Databasebeta

← C4×#63825 #11860311

Subgroups — C4×#63825 #11860311

Order 1152.

1309 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C3×C4×#235C211yesmaximal, characteristic, complemented
3C2×#63825C211yesmaximal, characteristic
4C3×C4×#208C211yesmaximal, characteristic, complemented
5#10591131C211yesmaximal, characteristic, complemented
6#10591096C211yesmaximal, characteristic, complemented
7#10591088C211yesmaximal, characteristic, complemented
8#10590362C212yesmaximal, complemented
9C4×#3717C212yesmaximal, complemented
10#10590346C212yesmaximal, complemented
11C4×#3714C212yesmaximal, complemented
12C4×#949—31nomaximal
13C4×#908—31nomaximal
14C22×C4⋊(C3⋊D3)C2211yescharacteristic
15C22×C4×C3⋊D3—21no—
16C2×C3×#235C2211yescharacteristic
17C2×C32×C42C2211yescharacteristic
18C2×#3752—21no—
19C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
20C4×C4⋊(C3⋊D3)—21no—
21C4×C4⋊(C3⋊D3)—21no—
22C4×C4⋊(C3⋊D3)C2212yes—
23C4×C4⋊(C3⋊D3)C2212yes—
24C3×C4×#67—21no—
25C3×C4×#67—21no—
26C3×#926C2211yescharacteristic
27C2×C3×#208C2211yescharacteristic
28C2×C3×#208C2211yescharacteristic
29C3×C4×D12C2211yescharacteristic, complemented
30C3×C4×D12C2211yescharacteristic, complemented
31C3×#872—21no—
32C3×C42×D3—21no—
33C3×C4×Dic6C2211yescharacteristic, complemented
34C3×C4×Dic6C2211yescharacteristic, complemented
35C2×#3717C2212yes—
36#63825C418yesdirect product factor
37C2×#3714C2212yes—
38C3×#803C2212yescomplemented
39C3×C4×C3⋊C8C2212yescomplemented
40#63575C2212yescomplemented
41#63573C2212yescomplemented
42#63566C2212yescomplemented
43#63564C2212yes—
44#63564C2212yes—
45#63563C2212yescomplemented
46C3×C4×#41—31no—
47C2×#949—31no—
48C2×#908—31no—
49C4×#235D311yescharacteristic, complemented
50C2×C4×D12—31no—
51C2×C4×D12—31no—
52C2×C4×D12—61no—
53C3×C4×M16—31no—
54#5232—31no—
55#5133—31no—
56#5131—31no—
57#5121—31no—
58#5026—32no—
59C4×#215—32no—
60#5014—32no—
61C4×#213—32no—
62#5001—31no—
63#4995—31no—
64C4×#208D311yescharacteristic, complemented
65#4711—32no—
66#4710—32no—
67C4×D24—32no—
68C4×#204—32no—
69C23×C3⋊D3—21no—
70C22×C32×C4D411yescharacteristic
71C22×C32×C4D411yescharacteristic
72C22×C32×C4C2311yescharacteristic
73C22×C3⋊Dic3—21no—
74C2×C4⋊(C3⋊D3)—21no—
75C2×C4⋊(C3⋊D3)—22no—
76C2×C4⋊(C3⋊D3)C2×C414yescomplemented
77C2×C4⋊(C3⋊D3)C2312yes—
78C2×C4×C3⋊D3—22no—
79C2×C4×C3⋊D3—22no—
80C2×C4×C3⋊D3—44no—
81C2×C3×#67—21no—
82C3×#235—22no—
83C3×#235C2×C414yescomplemented
84C2×C3×D12C2311yescharacteristic
85C2×C3×C4×D3—21no—
86C2×C3×C4×D3—21no—
87C2×C3×C4×D3—21no—
88C2×C3×Dic6C2311yescharacteristic
89C32×C42D411yescharacteristic
90C32×C42D411yescharacteristic
91C32×C42C2311yescharacteristic
92C32×C42C2311yescharacteristic
93#3752—22no—
94#3752—22no—
95C4⋊(C3⋊Dic3)—21no—
96C4⋊(C3⋊Dic3)C2312yes—
97C3×#217—21no—
98C3×(C2×D3)⋊C4—21no—
99C3×(C2×D3)⋊C4—21no—
100C3×C4⋊Dic3C2311yescharacteristic
101C3×C4⋊Dic3C2311yescharacteristic
102C3×Dic3⋊C4—21no—
103C3×Dic3⋊C4—21no—
104C3×C4×Dic3—21no—
105C3×C4×Dic3—21no—
106C3×C4×Dic3—21no—
107C3×#208—22no—
108C3×#208C2×C414yescomplemented
109C2×C3×C3⋊C8C2312yes—
110C2×C3×C3⋊C8C2312yes—
111#3717C2×C418yescomplemented
112#3714C2×C418yescomplemented
113C4×AGL(1,ℤ/8)—91noSylow
114C2×C3×#41—31no—
115C2×#235C2×D311yescharacteristic
116C22×D12—31no—
117C22×D12—31no—
118C22×D12—61no—
119C22×C4×D3—62no—
120C22×C4×D3—61no—
121C22×C4×D3—61no—
122C2×C3×M16—31no—
123C2×C3×M16—31no—
124C3×C4×Q8—31no—
125C3×C4×Q8—31no—
126C3×C4×D4—31no—
127C3×C4×D4—31no—
128C3×C4×D4—61no—
129C3×C4×D4—61no—
130C3×#117—31no—
131C3×#117—61no—
132C2×C3×C42—21no—
133C2×C3×C42—61no—
134C2×C3×C42C2×D311yescharacteristic
135C2×C3×C42C2×D311yescharacteristic
136#949—38no—
137C2×#215—32no—
138C2×#213—32no—
139C4×#67—21no—
140C4×#67—21no—
141C2×(C2×D3)⋊C4—62no—
142C2×(C2×D3)⋊C4—61no—
143C2×(C2×D3)⋊C4—61no—
144#926C2×D311yescharacteristic
145C2×C4⋊Dic3—31no—
146C2×C4⋊Dic3—31no—
147C2×C4⋊Dic3—61no—
148C2×#208C2×D311yescharacteristic
149C2×#208C2×D311yescharacteristic
150#908—38no—
151C2×D24—32no—
152C2×#204—32no—
153C4×D12—32no—
154C4×D12—32no—
155C4×D12—32no—
156C4×D12—32no—
157C4×D12—62no—
158C4×D12—62no—
159C4×D12—62no—
160C4×D12—62no—
161C4×D12—61no—
162C4×D12—61no—
163C4×D12—61no—
164C4×D12—61no—
165C4×D12C2×D311yescharacteristic, complemented
166C4×D12C2×D311yescharacteristic, complemented
167#872—21no—
168C42×D3—21no—
169C4×Dic6C2×D311yescharacteristic, complemented
170C4×Dic6C2×D311yescharacteristic, complemented
171C3×#97—32no—
172C3×C4×C8—32no—
173#835—32no—
174#832—32no—
175#821—32no—
176#821—32no—
177#821—32no—
178#818—32no—
179#817—32no—
180#816—32no—
181#809—32no—
182#809—32no—
183#808—32no—
184#807—32no—
185#803C2×D312yescomplemented
186C4×C3⋊C8C2×D312yescomplemented
187C23×C32C2×D411yescharacteristic
188C22×C3⋊D3—24no—
189C22×C3⋊D3—22no—
190C22×C3⋊D3—42no—
191C22×C3⋊D3—42no—
192C22×C3×D3—21no—
193C2×C32×C4—22no—
194C2×C32×C4—41no—
195C2×C32×C4C22×C412yes—
196C2×C32×C4C2×D411yescharacteristic
197C2×C32×C4C2×D411yescharacteristic
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2×D411yescharacteristic
201C2×C32×C4#4112yes—
202C2×C32×C4C2411yescharacteristic
203C2×C3⋊Dic3—22no—
204C2×C3⋊Dic3—42no—
205C4⋊(C3⋊D3)—24no—
206C4⋊(C3⋊D3)—22no—
207C4⋊(C3⋊D3)C22×C414yes—
208C4×C3⋊D3—44no—
209C4×C3⋊D3—44no—
210C3×#67—24no—
211C2×C3×Dic3—21no—
212C2×C3×Dic3—21no—
213C2×C3×Dic3—21no—
214C3×D12—21no—
215C3×D12C22×C412yescomplemented
216C3×C4×D3—24no—
217C3×C4×D3—42no—
218C3×C4×D3—42no—
219C3×Dic6—21no—
220C3×Dic6C22×C412yescomplemented
221C3×C3⋊C8—22no—
222C3×C3⋊C8C22×C414yescomplemented
223C2×AGL(1,ℤ/8)—91no—
224C4×#41—31no—
225C2×C4×D4—91no—
226#442—92no—
227#440—92no—
228C4×SD16—92no—
229C4×D8—92no—
230#428—91no—
231#418—91no—
232#417—91no—
233C4×M16—31no—
234C23×D3—62no—
235C23×D3—61no—
236C23×D3—61no—
237C3×#41—34no—
238C3×#41—62no—
239C2×C3×Q8—31no—
240C2×C3×D4—31no—
241C2×C3×D4—61no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—61no—
246C22×C3×C4—61no—
247C22×C3×C4—61no—
248C22×C3×C4D1211yescharacteristic
249C22×C3×C4D1211yescharacteristic
250C22×C3×C4#6711yescharacteristic
251C22×C3×C4#6711yescharacteristic
252C22×C3×C4C22×D311yescharacteristic
253C22×C3×C4C22×D311yescharacteristic
254C2×#67—21no—
255C22×Dic3—62no—
256C22×Dic3—61no—
257C22×Dic3—61no—
258#235—22no—
259#235C4×D314yescomplemented
260C2×D12—34no—
261C2×D12—34no—
262C2×D12—32no—
263C2×D12—32no—
264C2×D12—62no—
265C2×D12—64no—
266C2×D12—62no—
267C2×D12—64no—
268C2×D12—61no—
269C2×D12—62no—
270C2×D12—62no—
271C2×D12—61no—
272C2×D12C22×D311yescharacteristic
273C2×C4×D3—21no—
274C2×C4×D3—21no—
275C2×C4×D3—21no—
276C2×C4×D3—64no—
277C2×C4×D3—64no—
278C2×C4×D3—62no—
279C2×C4×D3—62no—
280C2×C4×D3—62no—
281C2×C4×D3—62no—
282C2×C4×D3—128no—
283C2×C4×D3—124no—
284C2×C4×D3—124no—
285C2×Dic6C22×D311yescharacteristic
286C3×M16—34no—
287C3×M16—62no—
288C2×C3×C8—32no—
289C2×C3×C8—32no—
290C3×C4⋊C4—31no—
291C3×C4⋊C4—31no—
292C3×C4⋊C4—61no—
293C3×C4⋊C4—61no—
294C3×C22⋊C4—61no—
295C3×C22⋊C4—61no—
296C3×C22⋊C4—61no—
297C3×C42—21no—
298C3×C42—21no—
299C3×C42—21no—
300C3×C42—21no—
301C3×C42—61no—
302C3×C42—61no—
303C3×C42—61no—
304C3×C42D1211yescharacteristic
305C3×C42D1211yescharacteristic
306C3×C42#6711yescharacteristic
307C3×C42#6711yescharacteristic
308C3×C42C22×D311yescharacteristic
309C3×C42C22×D311yescharacteristic
310C3×C42C22×D311yescharacteristic
311C3×C42C22×D311yescharacteristic
312#217—21no—
313#215—38no—
314#213—38no—
315(C2×D3)⋊C4—21no—
316(C2×D3)⋊C4—21no—
317(C2×D3)⋊C4—64no—
318(C2×D3)⋊C4—64no—
319(C2×D3)⋊C4—62no—
320(C2×D3)⋊C4—62no—
321(C2×D3)⋊C4—62no—
322(C2×D3)⋊C4—62no—
323C4⋊Dic3—32no—
324C4⋊Dic3—32no—
325C4⋊Dic3—62no—
326C4⋊Dic3—62no—
327C4⋊Dic3—61no—
328C4⋊Dic3—61no—
329C4⋊Dic3C22×D311yescharacteristic
330C4⋊Dic3C22×D311yescharacteristic
331Dic3⋊C4—21no—
332Dic3⋊C4—21no—
333C4×Dic3—21no—
334C4×Dic3—21no—
335C4×Dic3—21no—
336#208—22no—
337#208C4×D314yescomplemented
338C2×C3⋊C8C22×D312yes—
339C2×C3⋊C8C22×D312yes—
340D24—38no—
341#204—38no—
342C22×C32—21no—
343C22×C32—21no—
344C22×C32C4×D412yes—
345C22×C32C22×D411yescharacteristic
346C2×C3⋊D3—24no—
347C2×C3⋊D3—48no—
348C2×C3⋊D3—42no—
349C2×C3⋊D3—42no—
350C2×C3×D3—22no—
351C2×C3×D3—41no—
352C2×C3×D3—41no—
353C32×C4—21no—
354C32×C4—21no—
355C32×C4—21no—
356C32×C4C4×D412yes—
357C32×C4AGL(1,ℤ/8)12yescomplemented
358C32×C4C23×C411yescharacteristic
359C32×C4C2×#4111yescharacteristic
360C3⋊Dic3—42no—
361C3×Dic3—22no—
362C3×Dic3—41no—
363C3×Dic3—41no—
364C2×#41—31no—
365C22×D4—91no—
366C23×C4—181no—
367AGL(1,ℤ/8)—98no—
368C2×SD16—92no—
369C2×D8—92no—
370C2×M16—31no—
371C2×M16—31no—
372C4×Q8—31no—
373C4×Q8—31no—
374C4×D4—31no—
375C4×D4—31no—
376C4×D4—61no—
377C4×D4—61no—
378C4×D4—92no—
379C4×D4—92no—
380C4×D4—181no—
381C4×D4—181no—
382#117—31no—
383#117—61no—
384C2×C4⋊C4—91no—
385C2×C22⋊C4—181no—
386C2×C42—61no—
387C2×C42D3211yescharacteristic
388#107—92no—
389#106—92no—
390#103—92no—
391#102—92no—
392#102—92no—
393#102—92no—
394#97—32no—
395C4×C8—32no—
396C23×C3—21no—
397C23×C3—61no—
398C23×C3C2×D1211yescharacteristic
399C23×C3C2×#6711yescharacteristic
400C22×D3—21no—
401C22×D3—64no—
402C22×D3—68no—
403C22×D3—64no—
404C22×D3—64no—
405C22×D3—62no—
406C22×D3—62no—
407C22×D3—124no—
408C22×D3—122no—
409C22×D3—122no—
410C22×D3—124no—
411C22×D3—122no—
412C22×D3—122no—
413C3×Q8—32no—
414C3×Q8—61no—
415C3×D4—32no—
416C3×D4—64no—
417C3×D4—61no—
418C2×C3×C4—24no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—42no—
432C2×C3×C4—61no—
433C2×C3×C4—64no—
434C2×C3×C4—61no—
435C2×C3×C4—61no—
436C2×C3×C4—122no—
437C2×C3×C4—122no—
438C2×C3×C4C2×C4×D312yes—
439C2×C3×C4C2×C4×D312yes—
440C2×C3×C4C2×D1211yescharacteristic
441C2×C3×C4C2×D1211yescharacteristic
442C2×C3×C4C2×D1211yescharacteristic
443C2×C3×C4C2×D1211yescharacteristic
444C2×C3×C4C2×D1211yescharacteristic
445C2×C3×C4#23512yes—
446C2×C3×C4#23512yes—
447C2×C3×C4C2×#6711yescharacteristic
448C2×C3×C4C2×#6711yescharacteristic
449C2×C3×C4C2×#6711yescharacteristic
450C2×C3×C4C2×#6711yescharacteristic
451C2×C3×C4C2×#6711yescharacteristic
452C2×C3×C4C23×D311yescharacteristic
453C2×C3×C4C23×D311yescharacteristic
454#67—24no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—21no—
458C2×Dic3—64no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—124no—
462C2×Dic3—122no—
463C2×Dic3—122no—
464D12—21no—
465D12—34no—
466D12—34no—
467D12—64no—
468D12—64no—
469D12—68no—
470D12—64no—
471D12—64no—
472D12—62no—
473D12—62no—
474D12C2×C4×D312yescomplemented
475C4×D3—24no—
476C4×D3—42no—
477C4×D3—42no—
478C4×D3—128no—
479C4×D3—124no—
480C4×D3—124no—
481C4×D3—128no—
482C4×D3—124no—
483C4×D3—124no—
484Dic6—21no—
485Dic6C2×C4×D312yescomplemented
486C3×C8—34no—
487C3×C8—62no—
488C3⋊C8—22no—
489C3⋊C8C2×C4×D314yescomplemented
490C2×C32—22no—
491C2×C32C2×C4×D411yescharacteristic
492C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
493C2×C32#57511yescharacteristic
494C3⋊D3—44no—
495C3×D3—42no—
496C24—181no—
497#41—34no—
498#41—62no—
499C2×Q8—31no—
500C2×D4—31no—
501C2×D4—61no—
502C2×D4—92no—
503C2×D4—94no—
504C2×D4—182no—
505C2×D4—181no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—181no—
510C22×C4—182no—
511C22×C4—182no—
512C22×C4—364no—
513C22×C4#62611yescharacteristic
514C22×C4#62611yescharacteristic
515C22×C4C2×D3211yescharacteristic
516SD16—98no—
517D8—98no—
518M16—34no—
519M16—62no—
520C2×C8—32no—
521C2×C8—32no—
522C4⋊C4—31no—
523C4⋊C4—31no—
524C4⋊C4—61no—
525C4⋊C4—61no—
526C4⋊C4—92no—
527C4⋊C4—181no—
528C22⋊C4—61no—
529C22⋊C4—61no—
530C22⋊C4—61no—
531C22⋊C4—182no—
532C22⋊C4—182no—
533C42—61no—
534C42—61no—
535C42—61no—
536C42#62611yescharacteristic
537C42#62611yescharacteristic
538C42C2×D3211yescharacteristic
539C42C2×D3211yescharacteristic
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—21no—
543C22×C3—21no—
544C22×C3—21no—
545C22×C3—21no—
546C22×C3—21no—
547C22×C3—22no—
548C22×C3—62no—
549C22×C3—121no—
550C22×C3—121no—
551C22×C3C4×D1212yes—
552C22×C3C4×#6712yes—
553C22×C3C22×D1211yescharacteristic
554C22×C3C22×#6711yescharacteristic
555C2×D3—22no—
556C2×D3—41no—
557C2×D3—41no—
558C2×D3—68no—
559C2×D3—64no—
560C2×D3—64no—
561C2×D3—124no—
562C2×D3—1216no—
563C2×D3—128no—
564C2×D3—128no—
565C2×D3—124no—
566C2×D3—122no—
567C2×D3—122no—
568C2×D3—122no—
569C2×D3—122no—
570C3×C4—22no—
571C3×C4—21no—
572C3×C4—21no—
573C3×C4—21no—
574C3×C4—21no—
575C3×C4—21no—
576C3×C4—21no—
577C3×C4—21no—
578C3×C4—21no—
579C3×C4—22no—
580C3×C4—22no—
581C3×C4—41no—
582C3×C4—41no—
583C3×C4—62no—
584C3×C4—121no—
585C3×C4—121no—
586C3×C4C4×D1212yes—
587C3×C4#90812yescomplemented
588C3×C4C4×#6712yes—
589C3×C4#94912yescomplemented
590C3×C4C22×C4×D311yescharacteristic
591C3×C4C22×C4×D311yescharacteristic
592C3×C4C2×#23511yescharacteristic
593C3×C4C2×#23511yescharacteristic
594Dic3—22no—
595Dic3—41no—
596Dic3—41no—
597Dic3—124no—
598Dic3—122no—
599Dic3—122no—
600C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
601C23—61no—
602C23—182no—
603C23—184no—
604C23—362no—
605C23—362no—
606C23C2×#62611yescharacteristic
607Q8—32no—
608Q8—61no—
609D4—32no—
610D4—64no—
611D4—61no—
612D4—94no—
613D4—182no—
614D4—184no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—61no—
618C2×C4—64no—
619C2×C4—61no—
620C2×C4—61no—
621C2×C4—122no—
622C2×C4—122no—
623C2×C4—182no—
624C2×C4—364no—
625C2×C4—362no—
626C2×C4—364no—
627C2×C4#379812yes—
628C2×C4C4×D3212yes—
629C2×C4C2×#62611yescharacteristic
630C2×C4C2×#62611yescharacteristic
631C2×C4C2×#62611yescharacteristic
632C2×C4C2×#62611yescharacteristic
633C2×C4C2×#62611yescharacteristic
634C2×C4C22×D3211yescharacteristic
635C8—34no—
636C8—62no—
637C2×C3—24no—
638C2×C3—22no—
639C2×C3—22no—
640C2×C3—21no—
641C2×C3—21no—
642C2×C3—21no—
643C2×C3—122no—
644C2×C3C2×C4×D1211yescharacteristic
645C2×C3C2×#90811yescharacteristic
646C2×C3#574811yescharacteristic
647C2×C3C2×C4×#6711yescharacteristic
648C2×C3C2×#94911yescharacteristic
649C2×C3#582211yescharacteristic
650D3—42no—
651D3—128no—
652D3—124no—
653D3—124no—
654C22—21no—
655C22—21no—
656C22—62no—
657C22—121no—
658C22—121no—
659C22—184no—
660C22—368no—
661C22—362no—
662C22—362no—
663C22C4×#62612yes—
664C22C22×#62611yescharacteristic
665C4—21no—
666C4—21no—
667C4—21no—
668C4—62no—
669C4—121no—
670C4—121no—
671C4—362no—
672C4#6382512yesdirect product factor
673C4C4×#62612yes—
674C4C2×#379811yescharacteristic
675C4C2×C4×D3211yescharacteristic
676C3—21no—
677C3C4×#90811yescharacteristic, complemented
678C3C4×#94911yescharacteristic, complemented
679C2—22no—
680C2—122no—
681C2—364no—
682C2C2×#6382511yescharacteristic
683C2#1059479511yescharacteristic
684C2C2×C4×#62611yescharacteristic
subgroupG/H
centerC2×C4C2×#626
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×C42C22
socleC22×C32C22×D4
prime radicalC2×#63825C2
cosocleC2×C32×C4C24
hypercenterC2×C42D32
hypocenterC32C4×AGL(1,ℤ/8)
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C4×C4⋊(C3⋊D3)C2semidirect
2. C3×C4×#235C2semidirect
4. C3×C4×#208C2semidirect
5. #10591131C2semidirect
6. #10591096C2semidirect
7. #10591088C2semidirect
8. #10590362C2semidirect
9. C4×#3717C2semidirect
10. #10590346C2semidirect
11. C4×#3714C2semidirect
29. C3×C4×D12C22semidirect
30. C3×C4×D12C22semidirect
33. C3×C4×Dic6C22semidirect
34. C3×C4×Dic6C22semidirect
36. #63825C4direct (N × H)
38. C3×#803C22semidirect
39. C3×C4×C3⋊C8C22semidirect
40. #63575C22semidirect
41. #63573C22semidirect
42. #63566C22semidirect
45. #63563C22semidirect
49. C4×#235D3semidirect
64. C4×#208D3semidirect
76. C2×C4⋊(C3⋊D3)C2×C4semidirect
83. C3×#235C2×C4semidirect
108. C3×#208C2×C4semidirect
111. #3717C2×C4semidirect
112. #3714C2×C4semidirect
165. C4×D12C2×D3semidirect
166. C4×D12C2×D3semidirect
169. C4×Dic6C2×D3semidirect
170. C4×Dic6C2×D3semidirect
185. #803C2×D3semidirect
186. C4×C3⋊C8C2×D3semidirect
215. C3×D12C22×C4semidirect
220. C3×Dic6C22×C4semidirect
222. C3×C3⋊C8C22×C4semidirect
259. #235C4×D3semidirect
337. #208C4×D3semidirect
357. C32×C4AGL(1,ℤ/8)semidirect
474. D12C2×C4×D3semidirect
485. Dic6C2×C4×D3semidirect
489. C3⋊C8C2×C4×D3semidirect
587. C3×C4#908semidirect
589. C3×C4#949semidirect
600. C32C4×AGL(1,ℤ/8)semidirect
672. C4#63825direct (N × H)
677. C3C4×#908semidirect
678. C3C4×#949semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊(C3⋊D3)2
C3×C4×#2352
C2×#638252
C3×C4×#2082
#105911312
#105910962
#105910882
#105903622
C4×#37172
#105903462
C4×#37142
C4×#9493
C4×#9083