Finite Group Databasebeta

← C4×#63830 #11860310

Subgroups — C4×#63830 #11860310

Order 1152.

1251 conjugacy classes of subgroups.

The subgroup lattice has 695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#3828C211yesmaximal, characteristic, complemented
2C2×C3×C4×D12C211yesmaximal, characteristic, complemented
3C2×#63830C211yesmaximal, characteristic
4C3×C4×#208C211yesmaximal, characteristic, complemented
5#10591130C211yesmaximal, characteristic, complemented
6#10591106C211yesmaximal, characteristic, complemented
7#10591086C211yesmaximal, characteristic, complemented
8#10590360C212yesmaximal, complemented
9C4×#3716C212yesmaximal, complemented
10#10590346C212yesmaximal, complemented
11C4×#3714C212yesmaximal, complemented
12C4×#932—31nomaximal
13C4×#908—31nomaximal
14C2×#3828C2211yescharacteristic
15C22×C3×D12C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C2×C32×C42C2211yescharacteristic
18C4×#638—21no—
19C4×#638—21no—
20#64135C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
22C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
23#64081—21no—
24C42×C3⋊D3—21no—
25C4×#634C2211yescharacteristic, complemented
26C4×#634C2211yescharacteristic, complemented
27C2×C3×(C2×D3)⋊C4—21no—
28C2×C3×C4⋊Dic3C2211yescharacteristic
29C2×C3×#208C2211yescharacteristic
30C2×C3×#208C2211yescharacteristic
31C3×C4×D12—21no—
32C3×C4×D12—21no—
33C3×C4×D12C2212yes—
34C3×C4×D12C2212yes—
35#63830C418yesdirect product factor
36C2×#3716C2212yes—
37C2×#3714C2212yes—
38C3×#803C2212yescomplemented
39C3×C4×C3⋊C8C2212yescomplemented
40#63575C2212yescomplemented
41#63573C2212yescomplemented
42#63567C2212yescomplemented
43#63564C2212yescomplemented
44#63563C2212yes—
45#63563C2212yes—
46C2×C3×C4×D4—31no—
47C2×#932—31no—
48C2×#908—31no—
49C4×#235—31no—
50C4×#235—31no—
51C4×#235—61no—
52C2×C4×D12D311yescharacteristic, complemented
53C3×C4×M16—31no—
54#5215—31no—
55#5133—31no—
56#5131—31no—
57#5121—31no—
58#5018—32no—
59C4×#214—32no—
60#5014—32no—
61C4×#213—32no—
62#4966—31no—
63#4964—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
73C2×#638—21no—
74#3828—22no—
75#3828C2×C414yescomplemented
76C2×C4⋊(C3⋊D3)C2311yescharacteristic
77C2×C4×C3⋊D3—21no—
78C2×C4×C3⋊D3—21no—
79C2×C4×C3⋊D3—21no—
80C2×#634C2311yescharacteristic
81C22×C3×Dic3—21no—
82C2×C3×D12—21no—
83C2×C3×D12—22no—
84C2×C3×D12C2×C414yescomplemented
85C2×C3×D12C2312yes—
86C2×C3×C4×D3—22no—
87C2×C3×C4×D3—22no—
88C2×C3×C4×D3—44no—
89C32×C42D411yescharacteristic
90C32×C42D411yescharacteristic
91C32×C42C2311yescharacteristic
92C32×C42C2311yescharacteristic
93#3757—21no—
94#3752—21no—
95#3752—21no—
96C4⋊(C3⋊Dic3)C2311yescharacteristic
97C4⋊(C3⋊Dic3)C2311yescharacteristic
98#3750—21no—
99#3750—21no—
100C4×C3⋊Dic3—21no—
101C4×C3⋊Dic3—21no—
102C4×C3⋊Dic3—21no—
103C3×(C2×D3)⋊C4—22no—
104C3×(C2×D3)⋊C4—22no—
105C3×C4⋊Dic3—21no—
106C3×C4⋊Dic3C2312yes—
107C3×#208—22no—
108C3×#208C2×C414yescomplemented
109C2×C3×C3⋊C8C2312yes—
110C2×C3×C3⋊C8C2312yes—
111#3716C2×C418yescomplemented
112#3714C2×C418yescomplemented
113C4×AGL(1,ℤ/8)—91noSylow
114C22×C3×D4—31no—
115C23×C3×C4—61no—
116C2×#235—31no—
117C2×#235—31no—
118C2×#235—61no—
119C22×D12C2×D311yescharacteristic
120C22×C4×D3—21no—
121C2×C3×M16—31no—
122C2×C3×M16—31no—
123C3×C4×D4—32no—
124C3×C4×D4—32no—
125C3×C4×D4—61no—
126C3×C4×D4—61no—
127C2×C3×C4⋊C4—31no—
128C2×C3×C22⋊C4—61no—
129C2×C3×C42—21no—
130C2×C3×C42C2×D311yescharacteristic
131C2×C3×C42C2×D311yescharacteristic
132C2×#214—32no—
133#932—38no—
134C2×#213—32no—
135C4×#67—62no—
136C4×#67—62no—
137C4×#67—61no—
138C4×#67—61no—
139C4×#67—61no—
140C4×#67—61no—
141C2×(C2×D3)⋊C4—21no—
142#926—31no—
143#926—31no—
144#926—61no—
145C2×C4⋊Dic3C2×D311yescharacteristic
146C2×#208C2×D311yescharacteristic
147C2×#208C2×D311yescharacteristic
148#908—38no—
149C2×D24—32no—
150C2×#204—32no—
151C4×D12—21no—
152C4×D12—21no—
153C4×D12—31no—
154C4×D12—31no—
155C4×D12—31no—
156C4×D12—31no—
157C4×D12—61no—
158C4×D12—61no—
159C4×D12C2×D312yes—
160C4×D12C2×D312yes—
161#872—62no—
162#872—61no—
163#872—61no—
164C42×D3—62no—
165C42×D3—61no—
166C42×D3—61no—
167C4×Dic6—31no—
168C4×Dic6—31no—
169C4×Dic6—31no—
170C4×Dic6—31no—
171C4×Dic6—61no—
172C4×Dic6—61no—
173C3×#97—32no—
174C3×C4×C8—32no—
175#832—32no—
176#832—32no—
177#821—32no—
178#821—32no—
179#821—32no—
180#818—32no—
181#817—32no—
182#816—32no—
183#810—32no—
184#809—32no—
185#808—32no—
186#807—32no—
187#803C2×D312yescomplemented
188C4×C3⋊C8C2×D312yescomplemented
189C23×C32C2×D411yescharacteristic
190C22×C3⋊D3—21no—
191C22×C3×D3—24no—
192C22×C3×D3—22no—
193C22×C3×D3—42no—
194C22×C3×D3—42no—
195C2×C32×C4—22no—
196C2×C32×C4—41no—
197C2×C32×C4C22×C412yes—
198C2×C32×C4C2×D411yescharacteristic
199C2×C32×C4C2×D411yescharacteristic
200C2×C32×C4C2×D411yescharacteristic
201C2×C32×C4C2×D411yescharacteristic
202C2×C32×C4C2×D411yescharacteristic
203C2×C32×C4#4112yes—
204C2×C32×C4C2411yescharacteristic
205#638—24no—
206C2×C3⋊Dic3—21no—
207C2×C3⋊Dic3—21no—
208C2×C3⋊Dic3—21no—
209C4⋊(C3⋊D3)—21no—
210C4⋊(C3⋊D3)C22×C412yescomplemented
211C4×C3⋊D3—24no—
212C4×C3⋊D3—42no—
213C4×C3⋊D3—42no—
214#634—21no—
215#634C22×C412yescomplemented
216C2×C3×Dic3—22no—
217C2×C3×Dic3—42no—
218C3×D12—24no—
219C3×D12—22no—
220C3×D12C22×C414yes—
221C3×C4×D3—44no—
222C3×C4×D3—44no—
223C3×C3⋊C8—22no—
224C3×C3⋊C8C22×C414yescomplemented
225C2×AGL(1,ℤ/8)—91no—
226C4×#41—91no—
227C2×C4×D4—31no—
228#442—92no—
229#440—92no—
230C4×SD16—92no—
231C4×D8—92no—
232#428—91no—
233#418—91no—
234#417—91no—
235C4×M16—31no—
236C24×C3—61no—
237C23×D3—21no—
238C2×C3×D4—34no—
239C2×C3×D4—32no—
240C2×C3×D4—61no—
241C2×C3×D4—62no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—61no—
246C22×C3×C4—62no—
247C22×C3×C4—62no—
248C22×C3×C4—124no—
249C22×C3×C4D1211yescharacteristic
250C22×C3×C4D1211yescharacteristic
251C22×C3×C4#6711yescharacteristic
252C22×C3×C4#6711yescharacteristic
253C22×C3×C4C22×D311yescharacteristic
254C22×C3×C4C22×D311yescharacteristic
255C2×#67—62no—
256C2×#67—61no—
257C2×#67—61no—
258C22×Dic3—21no—
259#235—34no—
260#235—34no—
261#235—64no—
262#235—64no—
263#235—62no—
264#235—62no—
265C2×D12—22no—
266C2×D12—21no—
267C2×D12—31no—
268C2×D12—31no—
269C2×D12—61no—
270C2×D12C4×D314yescomplemented
271C2×D12C22×D312yes—
272C2×C4×D3—22no—
273C2×C4×D3—22no—
274C2×C4×D3—44no—
275C2×C4×D3—62no—
276C2×C4×D3—61no—
277C2×C4×D3—61no—
278C2×C4×D3—62no—
279C2×C4×D3—62no—
280C2×C4×D3—61no—
281C2×C4×D3—61no—
282C2×C4×D3—61no—
283C2×C4×D3—61no—
284C2×Dic6—31no—
285C2×Dic6—31no—
286C2×Dic6—61no—
287C3×M16—34no—
288C3×M16—62no—
289C2×C3×C8—32no—
290C2×C3×C8—32no—
291C3×C4⋊C4—32no—
292C3×C4⋊C4—61no—
293C3×C22⋊C4—62no—
294C3×C22⋊C4—62no—
295C3×C42—21no—
296C3×C42—21no—
297C3×C42—21no—
298C3×C42—21no—
299C3×C42D1211yescharacteristic
300C3×C42D1211yescharacteristic
301C3×C42#6711yescharacteristic
302C3×C42#6711yescharacteristic
303C3×C42C22×D311yescharacteristic
304C3×C42C22×D311yescharacteristic
305C3×C42C22×D311yescharacteristic
306C3×C42C22×D311yescharacteristic
307#217—62no—
308#217—61no—
309#217—61no—
310#214—38no—
311#213—38no—
312(C2×D3)⋊C4—22no—
313(C2×D3)⋊C4—22no—
314(C2×D3)⋊C4—62no—
315(C2×D3)⋊C4—62no—
316(C2×D3)⋊C4—61no—
317(C2×D3)⋊C4—61no—
318(C2×D3)⋊C4—61no—
319(C2×D3)⋊C4—61no—
320C4⋊Dic3—21no—
321C4⋊Dic3—31no—
322C4⋊Dic3—31no—
323C4⋊Dic3—31no—
324C4⋊Dic3—31no—
325C4⋊Dic3—61no—
326C4⋊Dic3—61no—
327C4⋊Dic3C22×D312yes—
328Dic3⋊C4—62no—
329Dic3⋊C4—62no—
330Dic3⋊C4—61no—
331Dic3⋊C4—61no—
332Dic3⋊C4—61no—
333Dic3⋊C4—61no—
334C4×Dic3—62no—
335C4×Dic3—62no—
336C4×Dic3—62no—
337C4×Dic3—61no—
338C4×Dic3—61no—
339C4×Dic3—61no—
340C4×Dic3—61no—
341C4×Dic3—61no—
342C4×Dic3—61no—
343#208—22no—
344#208C4×D314yescomplemented
345C2×C3⋊C8C22×D312yes—
346C2×C3⋊C8C22×D312yes—
347D24—38no—
348#204—38no—
349C22×C32—21no—
350C22×C32—21no—
351C22×C32C4×D412yes—
352C22×C32C22×D411yescharacteristic
353C2×C3⋊D3—22no—
354C2×C3⋊D3—41no—
355C2×C3⋊D3—41no—
356C2×C3×D3—24no—
357C2×C3×D3—48no—
358C2×C3×D3—42no—
359C2×C3×D3—42no—
360C32×C4—21no—
361C32×C4—21no—
362C32×C4—21no—
363C32×C4C4×D412yes—
364C32×C4AGL(1,ℤ/8)12yescomplemented
365C32×C4C23×C411yescharacteristic
366C32×C4C2×#4111yescharacteristic
367C3⋊Dic3—22no—
368C3⋊Dic3—41no—
369C3⋊Dic3—41no—
370C3×Dic3—42no—
371C2×#41—91no—
372C22×D4—31no—
373C23×C4—61no—
374AGL(1,ℤ/8)—98no—
375C2×SD16—92no—
376C2×D8—92no—
377C2×M16—31no—
378C2×M16—31no—
379C4×Q8—91no—
380C4×Q8—91no—
381C4×D4—32no—
382C4×D4—32no—
383C4×D4—61no—
384C4×D4—61no—
385C4×D4—91no—
386C4×D4—91no—
387C4×D4—181no—
388C4×D4—181no—
389#117—91no—
390#117—181no—
391C2×C4⋊C4—31no—
392C2×C22⋊C4—61no—
393C2×C42—181no—
394C2×C42D3211yescharacteristic
395#107—92no—
396#106—92no—
397#103—92no—
398#102—92no—
399#102—92no—
400#102—92no—
401#97—32no—
402C4×C8—32no—
403C23×C3—21no—
404C23×C3—64no—
405C23×C3—62no—
406C23×C3—122no—
407C23×C3—122no—
408C23×C3C2×D1211yescharacteristic
409C23×C3C2×#6711yescharacteristic
410C22×D3—24no—
411C22×D3—22no—
412C22×D3—42no—
413C22×D3—42no—
414C22×D3—62no—
415C22×D3—61no—
416C22×D3—61no—
417C3×D4—34no—
418C3×D4—64no—
419C3×D4—62no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—21no—
423C2×C3×C4—22no—
424C2×C3×C4—22no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—42no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—42no—
434C2×C3×C4—62no—
435C2×C3×C4—124no—
436C2×C3×C4—122no—
437C2×C3×C4—124no—
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—68no—
455#67—64no—
456#67—64no—
457C2×Dic3—22no—
458C2×Dic3—42no—
459C2×Dic3—62no—
460C2×Dic3—61no—
461C2×Dic3—61no—
462C2×Dic3—62no—
463C2×Dic3—62no—
464C2×Dic3—61no—
465C2×Dic3—61no—
466C2×Dic3—61no—
467C2×Dic3—61no—
468D12—24no—
469D12—22no—
470D12—32no—
471D12—32no—
472D12—62no—
473D12—62no—
474D12—61no—
475D12—61no—
476D12C2×C4×D314yes—
477C4×D3—44no—
478C4×D3—44no—
479C4×D3—68no—
480C4×D3—64no—
481C4×D3—64no—
482C4×D3—124no—
483C4×D3—122no—
484C4×D3—122no—
485C4×D3—124no—
486C4×D3—122no—
487C4×D3—122no—
488Dic6—32no—
489Dic6—32no—
490Dic6—62no—
491Dic6—62no—
492Dic6—61no—
493Dic6—61no—
494C3×C8—34no—
495C3×C8—62no—
496C3⋊C8—22no—
497C3⋊C8C2×C4×D314yescomplemented
498C2×C32—22no—
499C2×C32C2×C4×D411yescharacteristic
500C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
501C2×C32#57511yescharacteristic
502C3⋊D3—42no—
503C3×D3—44no—
504C24—61no—
505#41—94no—
506#41—182no—
507C2×Q8—91no—
508C2×D4—32no—
509C2×D4—34no—
510C2×D4—62no—
511C2×D4—61no—
512C2×D4—91no—
513C2×D4—181no—
514C22×C4—61no—
515C22×C4—62no—
516C22×C4—62no—
517C22×C4—124no—
518C22×C4—181no—
519C22×C4—181no—
520C22×C4—181no—
521C22×C4#62611yescharacteristic
522C22×C4#62611yescharacteristic
523C22×C4C2×D3211yescharacteristic
524SD16—98no—
525D8—98no—
526M16—34no—
527M16—62no—
528C2×C8—32no—
529C2×C8—32no—
530C4⋊C4—32no—
531C4⋊C4—61no—
532C4⋊C4—91no—
533C4⋊C4—91no—
534C4⋊C4—181no—
535C4⋊C4—181no—
536C22⋊C4—62no—
537C22⋊C4—62no—
538C22⋊C4—181no—
539C22⋊C4—181no—
540C22⋊C4—181no—
541C42—181no—
542C42—181no—
543C42—181no—
544C42#62611yescharacteristic
545C42#62611yescharacteristic
546C42C2×D3211yescharacteristic
547C42C2×D3211yescharacteristic
548C22×C3—21no—
549C22×C3—21no—
550C22×C3—21no—
551C22×C3—21no—
552C22×C3—21no—
553C22×C3—22no—
554C22×C3—41no—
555C22×C3—41no—
556C22×C3—64no—
557C22×C3—128no—
558C22×C3—122no—
559C22×C3—122no—
560C22×C3C4×D1212yes—
561C22×C3C4×#6712yes—
562C22×C3C22×D1211yescharacteristic
563C22×C3C22×#6711yescharacteristic
564C2×D3—24no—
565C2×D3—48no—
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—64no—
569C2×D3—62no—
570C2×D3—62no—
571C2×D3—122no—
572C2×D3—122no—
573C2×D3—121no—
574C2×D3—121no—
575C2×D3—121no—
576C2×D3—121no—
577C3×C4—22no—
578C3×C4—21no—
579C3×C4—21no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—21no—
583C3×C4—21no—
584C3×C4—21no—
585C3×C4—21no—
586C3×C4—22no—
587C3×C4—22no—
588C3×C4—41no—
589C3×C4—41no—
590C3×C4—122no—
591C3×C4C4×D1212yes—
592C3×C4#90812yescomplemented
593C3×C4C4×#6712yes—
594C3×C4#93212yescomplemented
595C3×C4C22×C4×D311yescharacteristic
596C3×C4C22×C4×D311yescharacteristic
597C3×C4C2×#23511yescharacteristic
598C3×C4C2×#23511yescharacteristic
599Dic3—42no—
600Dic3—64no—
601Dic3—62no—
602Dic3—62no—
603Dic3—122no—
604Dic3—122no—
605Dic3—121no—
606Dic3—121no—
607Dic3—121no—
608Dic3—121no—
609C32C4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
610C23—62no—
611C23—64no—
612C23—122no—
613C23—122no—
614C23—181no—
615C23C2×#62611yescharacteristic
616Q8—92no—
617Q8—181no—
618D4—34no—
619D4—62no—
620D4—64no—
621D4—92no—
622D4—184no—
623D4—181no—
624C2×C4—22no—
625C2×C4—41no—
626C2×C4—62no—
627C2×C4—124no—
628C2×C4—122no—
629C2×C4—124no—
630C2×C4—181no—
631C2×C4—184no—
632C2×C4—181no—
633C2×C4—181no—
634C2×C4—362no—
635C2×C4—362no—
636C2×C4#379812yes—
637C2×C4C4×D3212yes—
638C2×C4C2×#62611yescharacteristic
639C2×C4C2×#62611yescharacteristic
640C2×C4C2×#62611yescharacteristic
641C2×C4C2×#62611yescharacteristic
642C2×C4C2×#62611yescharacteristic
643C2×C4C22×D3211yescharacteristic
644C8—34no—
645C8—62no—
646C2×C3—22no—
647C2×C3—22no—
648C2×C3—21no—
649C2×C3—21no—
650C2×C3—21no—
651C2×C3—42no—
652C2×C3—124no—
653C2×C3C2×C4×D1211yescharacteristic
654C2×C3C2×#90811yescharacteristic
655C2×C3#574811yescharacteristic
656C2×C3C2×C4×#6711yescharacteristic
657C2×C3C2×#93211yescharacteristic
658C2×C3#582211yescharacteristic
659D3—44no—
660D3—124no—
661D3—122no—
662D3—122no—
663C22—21no—
664C22—21no—
665C22—64no—
666C22—128no—
667C22—122no—
668C22—122no—
669C22—182no—
670C22—361no—
671C22—361no—
672C22C4×#62612yes—
673C22C22×#62611yescharacteristic
674C4—21no—
675C4—21no—
676C4—21no—
677C4—122no—
678C4—182no—
679C4—361no—
680C4—361no—
681C4#6383012yesdirect product factor
682C4C4×#62612yes—
683C4C2×#379811yescharacteristic
684C4C2×C4×D3211yescharacteristic
685C3—21no—
686C3C4×#90811yescharacteristic, complemented
687C3C4×#93211yescharacteristic, complemented
688C2—22no—
689C2—124no—
690C2—362no—
691C2C2×#6383011yescharacteristic
692C2#1059479511yescharacteristic
693C2C2×C4×#62611yescharacteristic
subgroupG/H
centerC2×C4C2×#626
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC2×C32×C42C22
socleC22×C32C22×D4
prime radicalC2×#63830C2
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. C4×#3828C2semidirect
2. C2×C3×C4×D12C2semidirect
4. C3×C4×#208C2semidirect
5. #10591130C2semidirect
6. #10591106C2semidirect
7. #10591086C2semidirect
8. #10590360C2semidirect
9. C4×#3716C2semidirect
10. #10590346C2semidirect
11. C4×#3714C2semidirect
21. C4×C4⋊(C3⋊D3)C22semidirect
22. C4×C4⋊(C3⋊D3)C22semidirect
25. C4×#634C22semidirect
26. C4×#634C22semidirect
35. #63830C4direct (N × H)
38. C3×#803C22semidirect
39. C3×C4×C3⋊C8C22semidirect
40. #63575C22semidirect
41. #63573C22semidirect
42. #63567C22semidirect
43. #63564C22semidirect
52. C2×C4×D12D3semidirect
64. C4×#208D3semidirect
75. #3828C2×C4semidirect
84. C2×C3×D12C2×C4semidirect
108. C3×#208C2×C4semidirect
111. #3716C2×C4semidirect
112. #3714C2×C4semidirect
187. #803C2×D3semidirect
188. C4×C3⋊C8C2×D3semidirect
210. C4⋊(C3⋊D3)C22×C4semidirect
215. #634C22×C4semidirect
224. C3×C3⋊C8C22×C4semidirect
270. C2×D12C4×D3semidirect
344. #208C4×D3semidirect
364. C32×C4AGL(1,ℤ/8)semidirect
497. C3⋊C8C2×C4×D3semidirect
592. C3×C4#908semidirect
594. C3×C4#932semidirect
609. C32C4×AGL(1,ℤ/8)semidirect
681. C4#63830direct (N × H)
686. C3C4×#908semidirect
687. C3C4×#932semidirect

Maximal subgroups

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

subgroupindex
C4×#38282
C2×C3×C4×D122
C2×#638302
C3×C4×#2082
#105911302
#105911062
#105910862
#105903602
C4×#37162
#105903462
C4×#37142
C4×#9323
C4×#9083