Finite Group Databasebeta

← #10830448

Subgroups — #10830448

Order 768.

1624 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3498C211yesmaximal, characteristic, complemented
2C2×#5241C212yesmaximal, complemented
3#83297C211yesmaximal, characteristic, complemented
4#83188C211yesmaximal, characteristic, complemented
5C4×#949C211yesmaximal, characteristic, complemented
6#72140C212yesmaximal, complemented
7#71856C212yesmaximal, complemented
8#71852C212yesmaximal, complemented
9#71818C211yesmaximal, characteristic, complemented
10#71766C211yesmaximal, characteristic, complemented
11#71646C211yesmaximal, characteristic, complemented
12#24230—31nomaximal, Sylow
13C2×C3×H(5,𝔽2)C2212yes—
14C3×#550—21no—
15C3×#550—21no—
16C3×D42—22no—
17C3×D42—22no—
18C3×D42—21no—
19C3×D42—21no—
20C3×#535—22no—
21C3×#535C2212yes—
22C3×#532—21no—
23C3×#532C2211yescharacteristic
24C2×C3×#127—21no—
25C2×C3×#127C2211yescharacteristic
26C3×C4×#41C2211yescharacteristic
27C2×#949C2211yescharacteristic
28C2×#949C2212yescomplemented
29C2×#940C2212yescomplemented
30C2×#938—22no—
31C2×C4×D12C2211yescharacteristic, complemented
32#5241—28no—
33C2×#837C2212yes—
34C2×#837C2212yescomplemented
35C2×#837C2212yescomplemented
36#5232C2211yescharacteristic
37#5232C2212yescomplemented
38#5223—22no—
39#5221C2212yescomplemented
40C2×#833C2212yescomplemented
41C2×#833C2212yescomplemented
42#5083—21no—
43#5072—21no—
44#5057—22no—
45#5026—21no—
46C4×#215—21no—
47#5014—21no—
48C4×#213—21no—
49#5001C2211yescharacteristic, complemented
50#4995C2211yescharacteristic, complemented
51C4×C4⋊Dic3C2211yescharacteristic, complemented
52#4924C2211yescharacteristic, complemented
53C4×#208C2211yescharacteristic, complemented
54#4532C2212yescomplemented
55#3498D311yescharacteristic, complemented
56#3036—31no—
57C2×#453—32no—
58C4×AGL(1,ℤ/8)—31no—
59#2541—31no—
60#2037—32no—
61#2002—32no—
62#1980—31no—
63#1965—31no—
64#1806—31no—
65#1792—32no—
66C3×H(5,𝔽2)—24no—
67C3×H(5,𝔽2)—24no—
68C3×H(5,𝔽2)—42no—
69C3×H(5,𝔽2)—42no—
70C2×C3×#41—22no—
71C2×C3×#41—22no—
72C2×C3×#41C2312yes—
73C2×C3×#41C2311yescharacteristic
74C22×C3×D4—24no—
75C22×C3×D4—22no—
76C22×C3×D4—22no—
77C22×C3×D4—22no—
78C22×C3×D4—22no—
79C22×C3×D4D412yes—
80C22×C3×D4D412yes—
81C22×C3×D4C2312yes—
82C22×#67—24no—
83C22×D12C2311yescharacteristic
84C22×C4×D3—21no—
85C3×C4⋊Q8D411yescharacteristic, complemented
86C3×#127—22no—
87C3×#127—22no—
88C3×#127—22no—
89C3×#127—21no—
90C3×#127—21no—
91C3×#127—21no—
92C3×#127—21no—
93C3×#127D411yescharacteristic, complemented
94C3×#124—22no—
95C3×#124D412yescomplemented
96C3×#121—22no—
97C3×#121—22no—
98C3×#121—24no—
99C3×#121—24no—
100C3×#121—21no—
101C3×#121—21no—
102C3×#121—22no—
103C3×#121—22no—
104C3×#120—24no—
105C3×#120—24no—
106C3×#120—24no—
107C3×C4×Q8D411yescharacteristic, complemented
108C3×C4×Q8D411yescharacteristic, complemented
109C3×C4×D4—22no—
110C3×C4×D4—22no—
111C3×C4×D4—21no—
112C3×C4×D4—21no—
113C3×C4×D4—21no—
114C3×C4×D4—21no—
115C3×C4×D4D411yescharacteristic, complemented
116C3×C4×D4D411yescharacteristic, complemented
117C3×#117—21no—
118C3×#117C2311yescharacteristic
119C2×C3×C42—21no—
120C2×C3×C42C2311yescharacteristic
121C2×#217—24no—
122#949—22no—
123#949—24no—
124#949—42no—
125#949D414yescomplemented
126C2×#215—21no—
127C2×#215—22no—
128#940—24no—
129#940—42no—
130#938—48no—
131C2×#213—21no—
132C2×#213—22no—
133C2×(C2×D3)⋊C4—21no—
134C2×C4⋊Dic3—21no—
135C2×C4⋊Dic3C2311yescharacteristic
136C2×C4×Dic3C2312yes—
137C2×#208C2311yescharacteristic
138C2×#208C2312yes—
139C2×#208C2311yescharacteristic
140C4×D12—21no—
141C4×D12—21no—
142C4×D12—21no—
143C4×D12—21no—
144#837—24no—
145#837—24no—
146#837—42no—
147#835—21no—
148#835—22no—
149#833—24no—
150#833—42no—
151#832—21no—
152#832—22no—
153C3⋊#95—21no—
154#809—21no—
155#809—21no—
156#808—21no—
157#807—21no—
158C4⋊(C3⋊C8)—21no—
159C4⋊(C3⋊C8)—21no—
160#803—21no—
161C4×C3⋊C8—21no—
162C2×H(5,𝔽2)C2×D312yes—
163C2×AGL(1,ℤ/8)—31no—
164C2×AGL(1,ℤ/8)—32no—
165#550—21no—
166#550—21no—
167D42—22no—
168D42—22no—
169D42—21no—
170D42—21no—
171#535—22no—
172#535C2×D312yes—
173#532—21no—
174#532C2×D311yescharacteristic
175C2×#127—21no—
176C2×#127—32no—
177C2×#127C2×D311yescharacteristic
178C2×#121—62no—
179C4×#41C2×D311yescharacteristic
180C2×C4×D4—31no—
181#463—62no—
182#461—61no—
183#459—61no—
184#453—68no—
185#442—61no—
186#440—61no—
187C4×SD16—61no—
188C4×D8—61no—
189#428—31no—
190#423—31no—
191C2×#104—32no—
192C2×#104—32no—
193C2×#104—32no—
194#418—31no—
195#417—31no—
196#417—32no—
197C2×#100—32no—
198C2×#100—32no—
199C4×M16—31no—
200#392—62no—
201#390—32no—
202C4×C4⋊C4—31no—
203#339—32no—
204C24×C3—24no—
205C24×C3C2×D414yes—
206C23×D3—21no—
207C3×#41—21no—
208C3×#41—21no—
209C3×#41—22no—
210C3×#41—22no—
211C3×#41—22no—
212C3×#41—22no—
213C3×#41—44no—
214C3×#41—44no—
215C3×#41—44no—
216C3×#41—44no—
217C3×#41C2×D412yes—
218C3×#41#4112yes—
219C2×C3×Q8C2×D412yes—
220C2×C3×Q8C2×D411yescharacteristic
221C2×C3×D4—21no—
222C2×C3×D4—24no—
223C2×C3×D4—24no—
224C2×C3×D4—22no—
225C2×C3×D4—24no—
226C2×C3×D4—24no—
227C2×C3×D4—22no—
228C2×C3×D4—22no—
229C2×C3×D4—21no—
230C2×C3×D4—21no—
231C2×C3×D4—22no—
232C2×C3×D4—22no—
233C2×C3×D4—22no—
234C2×C3×D4—22no—
235C2×C3×D4—22no—
236C2×C3×D4—22no—
237C2×C3×D4—22no—
238C2×C3×D4—22no—
239C2×C3×D4—44no—
240C2×C3×D4—44no—
241C2×C3×D4—44no—
242C2×C3×D4—48no—
243C2×C3×D4—48no—
244C2×C3×D4—44no—
245C2×C3×D4—44no—
246C2×C3×D4—84no—
247C2×C3×D4—84no—
248C2×C3×D4—82no—
249C2×C3×D4C2×D412yes—
250C2×C3×D4C2×D411yescharacteristic
251C22×C3×C4—21no—
252C22×C3×C4—24no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—22no—
256C22×C3×C4C2×D411yescharacteristic
257C22×C3×C4C2×D411yescharacteristic
258C22×C3×C4C2411yescharacteristic
259C2×#67—48no—
260C2×#67—48no—
261C2×#67—84no—
262C22×Dic3—22no—
263C22×Dic3—21no—
264C2×D12—21no—
265C2×D12—21no—
266C2×D12—21no—
267C2×D12—21no—
268C2×D12—21no—
269C2×D12C2×D412yescomplemented
270C2×C4×D3—44no—
271C2×C4×D3—41no—
272C2×C4×D3—41no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4C2×D411yescharacteristic
278C3×C4⋊C4C2×D411yescharacteristic
279C3×C22⋊C4—24no—
280C3×C22⋊C4—24no—
281C3×C22⋊C4—21no—
282C3×C22⋊C4—21no—
283C3×C22⋊C4—21no—
284C3×C22⋊C4—22no—
285C3×C22⋊C4—22no—
286C3×C42—21no—
287C3×C42—21no—
288C3×C42—21no—
289C3×C42C2×D411yescharacteristic
290C3×C42C2×D411yescharacteristic
291C3×C42C2×D411yescharacteristic
292C3×C42C2×D411yescharacteristic
293#217—48no—
294#215—24no—
295#215—44no—
296#213—24no—
297#213—44no—
298(C2×D3)⋊C4—41no—
299(C2×D3)⋊C4—41no—
300C4⋊Dic3—24no—
301C4⋊Dic3—21no—
302C4⋊Dic3—21no—
303C4×Dic3—22no—
304C4×Dic3—22no—
305#208—21no—
306#208—22no—
307#208—21no—
308#208—22no—
309#208—21no—
310#208C2×D412yescomplemented
311C2×C3⋊C8—21no—
312C2×C3⋊C8—21no—
313C2×C3⋊C8—22no—
314H(5,𝔽2)—24no—
315H(5,𝔽2)—24no—
316H(5,𝔽2)—42no—
317H(5,𝔽2)—42no—
318C2×#41—22no—
319C2×#41—22no—
320C2×#41C22×D312yes—
321C2×#41C22×D311yescharacteristic
322C22×D4—24no—
323C22×D4—22no—
324C22×D4—22no—
325C22×D4—22no—
326C22×D4—22no—
327C22×D4—31no—
328C22×D4—64no—
329C22×D4#6712yes—
330C22×D4#6712yes—
331C22×D4C22×D312yes—
332C23×C4—61no—
333AGL(1,ℤ/8)—34no—
334AGL(1,ℤ/8)—62no—
335AGL(1,ℤ/8)—64no—
336AGL(1,ℤ/8)—122no—
337C2×SD16—61no—
338C2×SD16—62no—
339C2×D8—61no—
340C2×D8—62no—
341C2×M16—31no—
342C2×M16—32no—
343C2×M16—31no—
344C4⋊Q8#6711yescharacteristic, complemented
345#127—22no—
346#127—22no—
347#127—22no—
348#127—21no—
349#127—21no—
350#127—21no—
351#127—21no—
352#127—64no—
353#127—122no—
354#127#6711yescharacteristic, complemented
355#124—22no—
356#124#6712yescomplemented
357#121—22no—
358#121—22no—
359#121—24no—
360#121—24no—
361#121—21no—
362#121—21no—
363#121—22no—
364#121—22no—
365#121—128no—
366#120—24no—
367#120—24no—
368#120—24no—
369C4×Q8#6711yescharacteristic, complemented
370C4×Q8#6711yescharacteristic, complemented
371C4×D4—22no—
372C4×D4—22no—
373C4×D4—21no—
374C4×D4—21no—
375C4×D4—21no—
376C4×D4—21no—
377C4×D4—61no—
378C4×D4—61no—
379C4×D4—61no—
380C4×D4—61no—
381C4×D4#6711yescharacteristic, complemented
382C4×D4#6711yescharacteristic, complemented
383#117—21no—
384#117C22×D311yescharacteristic
385C2×C4⋊C4—31no—
386C2×C4⋊C4—61no—
387C2×C22⋊C4—64no—
388C2×C22⋊C4—61no—
389C2×C42—21no—
390C2×C42—32no—
391C2×C42C22×D311yescharacteristic
392#107—61no—
393#106—61no—
394C4⋊C8—61no—
395C4⋊C8—61no—
396#104—64no—
397#104—64no—
398#104—122no—
399#103—61no—
400#103—62no—
401#102—61no—
402#102—62no—
403#102—61no—
404#102—61no—
405#100—64no—
406#100—122no—
407#97—61no—
408C4×C8—61no—
409#95—61no—
410C23×C3—21no—
411C23×C3—24no—
412C23×C3—22no—
413C23×C3—24no—
414C23×C3—24no—
415C23×C3—48no—
416C23×C3—44no—
417C23×C3—44no—
418C23×C3—84no—
419C23×C3—84no—
420C23×C3C22×D411yescharacteristic
421C22×D3—22no—
422C22×D3—42no—
423C22×D3—42no—
424C22×D3—41no—
425C22×D3—41no—
426C3×Q8—21no—
427C3×Q8—22no—
428C3×Q8—22no—
429C3×Q8#12112yescomplemented
430C3×D4—22no—
431C3×D4—22no—
432C3×D4—21no—
433C3×D4—22no—
434C3×D4—22no—
435C3×D4—48no—
436C3×D4—44no—
437C3×D4—42no—
438C3×D4—48no—
439C3×D4—42no—
440C3×D4—42no—
441C3×D4—42no—
442C3×D4—42no—
443C3×D4—42no—
444C3×D4—42no—
445C3×D4—44no—
446C3×D4—42no—
447C3×D4—82no—
448C3×D4—82no—
449C3×D4—84no—
450C3×D4—84no—
451C3×D4#12112yescomplemented
452C2×C3×C4—21no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—21no—
457C2×C3×C4—21no—
458C2×C3×C4—22no—
459C2×C3×C4—41no—
460C2×C3×C4—48no—
461C2×C3×C4—42no—
462C2×C3×C4—42no—
463C2×C3×C4—42no—
464C2×C3×C4—42no—
465C2×C3×C4#12011yescharacteristic
466C2×C3×C4#12011yescharacteristic
467C2×C3×C4#12011yescharacteristic
468C2×C3×C4#12011yescharacteristic
469C2×C3×C4C22×D411yescharacteristic
470C2×C3×C4C22×D411yescharacteristic
471C2×C3×C4C22×D411yescharacteristic
472C2×C3×C4C2×#4111yescharacteristic
473C2×C3×C4H(5,𝔽2)11yescharacteristic
474C2×C3×C4H(5,𝔽2)11yescharacteristic
475#67—816no—
476C2×Dic3—24no—
477C2×Dic3—42no—
478C2×Dic3—42no—
479C2×Dic3—42no—
480C2×Dic3—41no—
481D12—22no—
482D12—22no—
483D12—41no—
484D12—41no—
485C4×D3—82no—
486C4×D3—82no—
487C3⋊C8—22no—
488C3⋊C8—41no—
489C3⋊C8—42no—
490C24—24no—
491C24—61no—
492C24C2×#6714yes—
493#41—21no—
494#41—21no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—44no—
500#41—44no—
501#41—44no—
502#41—44no—
503#41D3×D412yes—
504#41#23712yes—
505C2×Q8C2×#6712yes—
506C2×Q8C2×#6711yescharacteristic
507C2×D4—21no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—22no—
511C2×D4—24no—
512C2×D4—24no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—32no—
526C2×D4—44no—
527C2×D4—44no—
528C2×D4—44no—
529C2×D4—48no—
530C2×D4—48no—
531C2×D4—44no—
532C2×D4—44no—
533C2×D4—61no—
534C2×D4—61no—
535C2×D4—61no—
536C2×D4—61no—
537C2×D4—61no—
538C2×D4—84no—
539C2×D4—84no—
540C2×D4—82no—
541C2×D4—128no—
542C2×D4—128no—
543C2×D4—244no—
544C2×D4C2×#6712yes—
545C2×D4C2×#6711yescharacteristic
546C22×C4—21no—
547C22×C4—24no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—22no—
551C22×C4—62no—
552C22×C4—61no—
553C22×C4—124no—
554C22×C4—121no—
555C22×C4—121no—
556C22×C4C2×#6711yescharacteristic
557C22×C4C2×#6711yescharacteristic
558C22×C4C23×D311yescharacteristic
559SD16—64no—
560SD16—124no—
561D8—64no—
562D8—124no—
563M16—32no—
564M16—61no—
565M16—62no—
566M16—61no—
567M16—62no—
568M16—61no—
569C2×C8—61no—
570C2×C8—61no—
571C2×C8—62no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—64no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4C2×#6711yescharacteristic
580C4⋊C4C2×#6711yescharacteristic
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—21no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—128no—
589C22⋊C4—121no—
590C22⋊C4—121no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—62no—
595C42—62no—
596C42C2×#6711yescharacteristic
597C42C2×#6711yescharacteristic
598C42C2×#6711yescharacteristic
599C42C2×#6711yescharacteristic
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—22no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—42no—
606C22×C3—44no—
607C22×C3—44no—
608C22×C3—42no—
609C22×C3—44no—
610C22×C3—42no—
611C22×C3—84no—
612C22×C3—84no—
613C22×C3—168no—
614C22×C3C2×#12011yescharacteristic
615C22×C3D4211yescharacteristic
616C22×C3#54611yescharacteristic
617C2×D3—44no—
618C2×D3—42no—
619C2×D3—82no—
620C2×D3—81no—
621C2×D3—81no—
622C3×C4—22no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—42no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4#45312yescomplemented
630C3×C4C2×#12111yescharacteristic
631C3×C4#53511yescharacteristic
632C3×C4D4211yescharacteristic
633C3×C4#54611yescharacteristic
634Dic3—44no—
635Dic3—81no—
636C23—21no—
637C23—24no—
638C23—22no—
639C23—24no—
640C23—24no—
641C23—48no—
642C23—44no—
643C23—44no—
644C23—62no—
645C23—84no—
646C23—84no—
647C23—122no—
648C23—122no—
649C23—121no—
650C23—121no—
651C23C22×#6711yescharacteristic
652Q8—21no—
653Q8—22no—
654Q8—22no—
655Q8#93812yescomplemented
656D4—22no—
657D4—22no—
658D4—22no—
659D4—21no—
660D4—22no—
661D4—48no—
662D4—44no—
663D4—42no—
664D4—48no—
665D4—42no—
666D4—42no—
667D4—44no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—42no—
672D4—42no—
673D4—62no—
674D4—62no—
675D4—82no—
676D4—82no—
677D4—84no—
678D4—84no—
679D4—121no—
680D4—121no—
681D4—2416no—
682D4#93812yescomplemented
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—48no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—64no—
697C2×C4—122no—
698C2×C4—122no—
699C2×C4—122no—
700C2×C4—121no—
701C2×C4—242no—
702C2×C4—242no—
703C2×C4#95311yescharacteristic
704C2×C4#95311yescharacteristic
705C2×C4#95311yescharacteristic
706C2×C4#95311yescharacteristic
707C2×C4C2×D3×D411yescharacteristic
708C2×C4C2×#23711yescharacteristic
709C2×C4#100411yescharacteristic
710C2×C4#100411yescharacteristic
711C2×C4C22×#6711yescharacteristic
712C2×C4C22×#6711yescharacteristic
713C8—62no—
714C8—122no—
715C8—121no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—42no—
719C2×C3—84no—
720C2×C3—82no—
721C2×C3#240811yescharacteristic
722C2×C3C2×#45311yescharacteristic
723C2×C3#301911yescharacteristic
724D3—82no—
725C22—21no—
726C22—21no—
727C22—22no—
728C22—41no—
729C22—41no—
730C22—42no—
731C22—44no—
732C22—44no—
733C22—42no—
734C22—44no—
735C22—42no—
736C22—84no—
737C22—84no—
738C22—124no—
739C22—122no—
740C22—168no—
741C22—242no—
742C22—241no—
743C22—241no—
744C22D4×#6711yescharacteristic
745C22#580611yescharacteristic
746C22C2×#95311yescharacteristic
747C4—22no—
748C4—21no—
749C4—21no—
750C4—21no—
751C4—42no—
752C4—41no—
753C4—41no—
754C4—124no—
755C4—241no—
756C4#524112yescomplemented
757C4C2×#93811yescharacteristic
758C4D4×#6711yescharacteristic
759C4#580511yescharacteristic
760C4#580611yescharacteristic
761C3#2423011yescharacteristic, complemented, Sylow
762C2—21no—
763C2—21no—
764C2—42no—
765C2—84no—
766C2—82no—
767C2—242no—
768C2#8405311yescharacteristic
769C2C2×#524111yescharacteristic
770C2#8410411yescharacteristic
subgroupG/H
centerC22C2×#953
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#3498C2
socleC22×C3C2×#120
hypercenter#3498D3
hypocenterC3#24230
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3498

Complements

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

NH ≅ G/Ntype
1. C3×#3498C2semidirect
2. C2×#5241C2semidirect
3. #83297C2semidirect
4. #83188C2semidirect
5. C4×#949C2semidirect
6. #72140C2semidirect
7. #71856C2semidirect
8. #71852C2semidirect
9. #71818C2semidirect
10. #71766C2semidirect
11. #71646C2semidirect
28. C2×#949C22semidirect
29. C2×#940C22semidirect
31. C2×C4×D12C22semidirect
34. C2×#837C22semidirect
35. C2×#837C22semidirect
37. #5232C22semidirect
39. #5221C22semidirect
40. C2×#833C22semidirect
41. C2×#833C22semidirect
49. #5001C22semidirect
50. #4995C22semidirect
51. C4×C4⋊Dic3C22semidirect
52. #4924C22semidirect
53. C4×#208C22semidirect
54. #4532C22semidirect
55. #3498D3semidirect
85. C3×C4⋊Q8D4semidirect
93. C3×#127D4semidirect
95. C3×#124D4semidirect
107. C3×C4×Q8D4semidirect
108. C3×C4×Q8D4semidirect
115. C3×C4×D4D4semidirect
116. C3×C4×D4D4semidirect
125. #949D4semidirect
269. C2×D12C2×D4semidirect
310. #208C2×D4semidirect
344. C4⋊Q8#67semidirect
354. #127#67semidirect
356. #124#67semidirect
369. C4×Q8#67semidirect
370. C4×Q8#67semidirect
381. C4×D4#67semidirect
382. C4×D4#67semidirect
429. C3×Q8#121semidirect
451. C3×D4#121semidirect
629. C3×C4#453semidirect
655. Q8#938semidirect
682. D4#938semidirect
756. C4#5241semidirect
761. C3#24230semidirect

Maximal subgroups

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

subgroupindex
C3×#34982
C2×#52412
#832972
#831882
C4×#9492
#721402
#718562
#718522
#718182
#717662
#716462
#242303