Finite Group Databasebeta

← #10848557

Subgroups — #10848557

Order 768.

1636 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3505C211yesmaximal, characteristic, complemented
2#82761C211yesmaximal, characteristic, complemented
3#82653C211yesmaximal, characteristic, complemented
4#82403C211yesmaximal, characteristic, complemented
5#71851C214yesmaximal, complemented
6#71701C211yesmaximal, characteristic, complemented
7#71686C211yesmaximal, characteristic, complemented
8#71654C214yesmaximal, complemented
9C4×#834C211yesmaximal, characteristic, complemented
10#25585—31nomaximal, Sylow
11C23×D12C2211yescharacteristic
12C3×#553—21no—
13C3×#553—22no—
14C3×#552—21no—
15C3×#551—22no—
16C3×#548—21no—
17C3×#546—21no—
18C3×#539—21no—
19C3×#538—21no—
20C3×#534C2212yes—
21C3×#529—21no—
22C3×#525—21no—
23C2×C3×C22⋊Q8C2211yescharacteristic
24C2×C3×#121C2211yescharacteristic
25C3×#518C2212yes—
26C2×C3×C4×D4C2211yescharacteristic
27C2×#947—21no—
28C2×#940—21no—
29C2×#937C2214yes—
30C2×#937C2212yes—
31C2×#930—21no—
32C2×#834C2212yes—
33C2×#834C2214yes—
34#5212C2211yescharacteristic
35C4×#217C2211yescharacteristic
36C4×#217C2211yescharacteristic
37#4991—22no—
38#4991—21no—
39#4988—21no—
40#4988—21no—
41#4960—22no—
42#4960—21no—
43#4955C2214yes—
44#4955C2212yes—
45#4939—21no—
46#4526C2214yes—
47#4526C2212yes—
48#3505D311yescharacteristic, complemented
49#2435—31no—
50#2433—31no—
51#2408—31no—
52#2021—34no—
53#1996—31no—
54#1964—31no—
55#1889—34no—
56C4×#99—31no—
57C24×D3C2312yes—
58C2×C3×#41—21no—
59C22×C3×Q8D411yescharacteristic, complemented
60C22×C3×D4D411yescharacteristic, complemented
61C22×C3×D4C2311yescharacteristic
62C22×C3×D4C2312yes—
63C23×C3×C4D411yescharacteristic, complemented
64C23×C3×C4C2311yescharacteristic
65C22×#67—22no—
66C22×#67—24no—
67C22×D12—21no—
68C22×D12—21no—
69C22×D12—21no—
70C22×D12—21no—
71C22×D12—21no—
72C22×D12—21no—
73C22×D12—44no—
74C3×#126—22no—
75C3×#126—22no—
76C3×#126—22no—
77C3×#125—21no—
78C3×#125—22no—
79C3×#124—21no—
80C3×#124—22no—
81C3×#123—22no—
82C3×#123—22no—
83C3×#123—22no—
84C3×#123—22no—
85C3×#123—22no—
86C3×C22⋊Q8—21no—
87C3×C22⋊Q8—22no—
88C3×C22⋊Q8—21no—
89C3×C22⋊Q8—21no—
90C3×C22⋊Q8—21no—
91C3×C22⋊Q8—21no—
92C3×#121—21no—
93C3×#121—22no—
94C3×#121—21no—
95C3×#121—21no—
96C3×#121—21no—
97C3×#121—21no—
98C3×#121—22no—
99C3×#121—22no—
100C3×#120—22no—
101C3×#120—22no—
102C3×C4×Q8—21no—
103C3×C4×D4—22no—
104C3×C4×D4—21no—
105C3×C4×D4—21no—
106C3×C4×D4—21no—
107C3×C4×D4—21no—
108C3×C4×D4—21no—
109C3×C4×D4—22no—
110C3×C4×D4—22no—
111C3×C4×D4—22no—
112C3×C4×D4—22no—
113C3×#117—21no—
114C3×#117—22no—
115C3×#117—22no—
116C2×C3×C4⋊C4D411yescharacteristic, complemented
117C2×C3×C4⋊C4D411yescharacteristic, complemented
118C2×C3×C4⋊C4D411yescharacteristic, complemented
119C2×C3×C4⋊C4D412yescomplemented
120C2×C3×C22⋊C4—22no—
121C2×C3×C22⋊C4D411yescharacteristic, complemented
122C2×C3×C22⋊C4D412yescomplemented
123C2×C3×C22⋊C4C2311yescharacteristic
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C42D411yescharacteristic, complemented
126C2×#217C2312yes—
127C2×#217C2312yes—
128C2×#217C2312yes—
129#947—44no—
130#940—44no—
131#937—28no—
132#937—44no—
133#937—44no—
134#930—44no—
135C2×(C2×D3)⋊C4—22no—
136C2×(C2×D3)⋊C4—22no—
137C2×(C2×D3)⋊C4—24no—
138C2×(C2×D3)⋊C4—24no—
139C2×(C2×D3)⋊C4—22no—
140C2×(C2×D3)⋊C4—24no—
141C2×C4⋊Dic3—21no—
142C2×C4×Dic3—21no—
143C2×C4×Dic3—21no—
144#834—24no—
145#834—44no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149C23×D4—31no—
150#553—21no—
151#553—22no—
152#552—21no—
153#551—22no—
154#548—21no—
155#546—21no—
156#539—21no—
157#538—21no—
158#534C2×D312yes—
159C2×#127—61no—
160#529—21no—
161C2×#124—61no—
162#525—21no—
163C2×C22⋊Q8C2×D311yescharacteristic
164C2×#121—61no—
165C2×#121C2×D311yescharacteristic
166C2×#120—34no—
167C2×#120—32no—
168#518C2×D312yes—
169C2×C4×D4C2×D311yescharacteristic
170C2×#99—32no—
171C2×#99—34no—
172#394—61no—
173#394—62no—
174#392—61no—
175#392—62no—
176#390—61no—
177#390—61no—
178#390—61no—
179#380—31no—
180#379—32no—
181#379—34no—
182C4×C22⋊C4—31no—
183C4×C22⋊C4—31no—
184#342—32no—
185#342—34no—
186C24×C3C2×D412yes—
187C24×C3C2×D411yescharacteristic
188C24×C3C2411yescharacteristic
189C23×D3—22no—
190C23×D3—22no—
191C23×D3—22no—
192C23×D3—24no—
193C23×D3—24no—
194C23×D3—44no—
195C23×D3—82no—
196C3×#41—82no—
197C2×C3×Q8—21no—
198C2×C3×Q8—21no—
199C2×C3×Q8—42no—
200C2×C3×D4—21no—
201C2×C3×D4—22no—
202C2×C3×D4—21no—
203C2×C3×D4—22no—
204C2×C3×D4—22no—
205C2×C3×D4—24no—
206C2×C3×D4—24no—
207C2×C3×D4—22no—
208C2×C3×D4—22no—
209C2×C3×D4—22no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—42no—
213C22×C3×C4—22no—
214C22×C3×C4—22no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D412yes—
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D412yes—
226C22×C3×C4C2×D411yescharacteristic
227C22×C3×C4C2×D412yes—
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C2×#67—48no—
232C2×#67—44no—
233C2×#67—48no—
234C2×#67—44no—
235C2×#67—84no—
236C2×#67—82no—
237C22×Dic3—22no—
238C22×Dic3—22no—
239C22×Dic3—22no—
240C2×D12—24no—
241C2×D12—24no—
242C2×D12—24no—
243C2×D12—42no—
244C2×D12—42no—
245C2×D12—42no—
246C2×D12—44no—
247C2×D12—44no—
248C2×D12—44no—
249C2×D12—41no—
250C2×D12—41no—
251C2×D12—41no—
252C2×D12—41no—
253C3×C4⋊C4—22no—
254C3×C4⋊C4—22no—
255C3×C4⋊C4—22no—
256C3×C4⋊C4—22no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—22no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—21no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—22no—
264C3×C4⋊C4—21no—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—22no—
267C3×C22⋊C4—22no—
268C3×C22⋊C4—22no—
269C3×C22⋊C4—22no—
270C3×C22⋊C4—22no—
271C3×C22⋊C4—21no—
272C3×C22⋊C4—22no—
273C3×C22⋊C4—21no—
274C3×C22⋊C4—22no—
275C3×C22⋊C4—22no—
276C3×C22⋊C4—21no—
277C3×C22⋊C4—21no—
278C3×C22⋊C4—22no—
279C3×C42—22no—
280C3×C42—22no—
281C3×C42—21no—
282C3×C42—21no—
283#217—22no—
284#217—22no—
285#217—22no—
286#217—24no—
287#217#4114yescomplemented
288(C2×D3)⋊C4—48no—
289(C2×D3)⋊C4—44no—
290(C2×D3)⋊C4—44no—
291(C2×D3)⋊C4—48no—
292(C2×D3)⋊C4—84no—
293(C2×D3)⋊C4—82no—
294C4⋊Dic3—42no—
295C4×Dic3—42no—
296C4×Dic3—42no—
297C25—32no—
298C2×#41—21no—
299C22×Q8#6711yescharacteristic, complemented
300C22×D4—62no—
301C22×D4—64no—
302C22×D4—61no—
303C22×D4—61no—
304C22×D4—61no—
305C22×D4—61no—
306C22×D4—61no—
307C22×D4—61no—
308C22×D4—124no—
309C22×D4#6711yescharacteristic, complemented
310C22×D4C22×D311yescharacteristic
311C22×D4C22×D312yes—
312C23×C4#6711yescharacteristic, complemented
313C23×C4C22×D311yescharacteristic
314#127—124no—
315#126—22no—
316#126—22no—
317#126—22no—
318#125—21no—
319#125—22no—
320#124—21no—
321#124—22no—
322#124—124no—
323#123—22no—
324#123—22no—
325#123—22no—
326#123—22no—
327#123—22no—
328C22⋊Q8—21no—
329C22⋊Q8—22no—
330C22⋊Q8—21no—
331C22⋊Q8—21no—
332C22⋊Q8—21no—
333C22⋊Q8—21no—
334#121—21no—
335#121—22no—
336#121—21no—
337#121—21no—
338#121—21no—
339#121—21no—
340#121—22no—
341#121—22no—
342#121—124no—
343#120—22no—
344#120—22no—
345#120—68no—
346#120—124no—
347#120—124no—
348C4×Q8—21no—
349C4×D4—22no—
350C4×D4—21no—
351C4×D4—21no—
352C4×D4—21no—
353C4×D4—21no—
354C4×D4—21no—
355C4×D4—22no—
356C4×D4—22no—
357C4×D4—22no—
358C4×D4—22no—
359#117—21no—
360#117—22no—
361#117—22no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4#6711yescharacteristic, complemented
364C2×C4⋊C4#6711yescharacteristic, complemented
365C2×C4⋊C4#6711yescharacteristic, complemented
366C2×C4⋊C4#6712yescomplemented
367C2×C22⋊C4—22no—
368C2×C22⋊C4—32no—
369C2×C22⋊C4—32no—
370C2×C22⋊C4—32no—
371C2×C22⋊C4—64no—
372C2×C22⋊C4—62no—
373C2×C22⋊C4—62no—
374C2×C22⋊C4—64no—
375C2×C22⋊C4—62no—
376C2×C22⋊C4—64no—
377C2×C22⋊C4#6711yescharacteristic, complemented
378C2×C22⋊C4#6712yescomplemented
379C2×C22⋊C4C22×D311yescharacteristic
380C2×C22⋊C4C22×D312yes—
381C2×C42—61no—
382C2×C42—61no—
383C2×C42#6711yescharacteristic, complemented
384#99—64no—
385#99—124no—
386#95—61no—
387#95—61no—
388#95—61no—
389C23×C3—21no—
390C23×C3—22no—
391C23×C3—21no—
392C23×C3—21no—
393C23×C3—24no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—42no—
399C23×C3—42no—
400C23×C3C22×D411yescharacteristic
401C23×C3C22×D411yescharacteristic
402C23×C3C22×D411yescharacteristic
403C23×C3C2×#4112yes—
404C23×C3H(5,𝔽2)12yes—
405C22×D3—24no—
406C22×D3—24no—
407C22×D3—24no—
408C22×D3—44no—
409C22×D3—42no—
410C22×D3—42no—
411C22×D3—42no—
412C22×D3—42no—
413C22×D3—42no—
414C22×D3—44no—
415C22×D3—42no—
416C22×D3—42no—
417C22×D3—42no—
418C22×D3—44no—
419C22×D3—44no—
420C22×D3—88no—
421C22×D3—88no—
422C3×Q8—42no—
423C3×Q8—81no—
424C3×D4—42no—
425C3×D4—42no—
426C3×D4—42no—
427C3×D4—42no—
428C3×D4—44no—
429C3×D4—42no—
430C3×D4—81no—
431C3×D4—82no—
432C3×D4—82no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—21no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—22no—
441C2×C3×C4—22no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—24no—
445C2×C3×C4—41no—
446C2×C3×C4—41no—
447C2×C3×C4—41no—
448C2×C3×C4—42no—
449C2×C3×C4—41no—
450C2×C3×C4—42no—
451C2×C3×C4—41no—
452C2×C3×C4—42no—
453C2×C3×C4—81no—
454C2×C3×C4—82no—
455C2×C3×C4—82no—
456C2×C3×C4#12011yescharacteristic
457C2×C3×C4#12011yescharacteristic
458C2×C3×C4#12011yescharacteristic
459C2×C3×C4#12011yescharacteristic
460#67—816no—
461#67—88no—
462C2×Dic3—24no—
463C2×Dic3—42no—
464C2×Dic3—42no—
465C2×Dic3—42no—
466C2×Dic3—42no—
467C2×Dic3—42no—
468C2×Dic3—42no—
469C2×Dic3—42no—
470C2×Dic3—42no—
471D12—44no—
472D12—44no—
473D12—44no—
474D12—44no—
475C24—62no—
476C24—62no—
477C24—62no—
478C24—64no—
479C24—64no—
480C24—124no—
481C24—242no—
482C24C2×#6712yes—
483C24C2×#6711yescharacteristic
484C24C23×D311yescharacteristic
485#41—82no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—42no—
489C2×D4—22no—
490C2×D4—24no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—21no—
494C2×D4—22no—
495C2×D4—21no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—42no—
502C2×D4—64no—
503C2×D4—64no—
504C2×D4—64no—
505C2×D4—122no—
506C2×D4—122no—
507C2×D4—122no—
508C2×D4—124no—
509C2×D4—124no—
510C2×D4—124no—
511C2×D4—128no—
512C2×D4—124no—
513C2×D4—124no—
514C2×D4—128no—
515C2×D4—121no—
516C2×D4—121no—
517C2×D4—121no—
518C2×D4—121no—
519C2×D4—244no—
520C2×D4—242no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—62no—
528C22×C4—62no—
529C22×C4—62no—
530C22×C4C2×#6711yescharacteristic
531C22×C4C2×#6712yes—
532C22×C4C2×#6711yescharacteristic
533C22×C4C2×#6711yescharacteristic
534C22×C4C2×#6711yescharacteristic
535C22×C4C2×#6711yescharacteristic
536C22×C4C2×#6712yes—
537C22×C4C2×#6711yescharacteristic
538C22×C4C2×#6712yes—
539C22×C4C2×#6711yescharacteristic
540C22×C4C2×#6711yescharacteristic
541C22×C4C2×#6711yescharacteristic
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—21no—
547C4⋊C4—22no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—122no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—21no—
562C22⋊C4—22no—
563C22⋊C4—21no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—34no—
570C22⋊C4—62no—
571C22⋊C4—62no—
572C22⋊C4—62no—
573C22⋊C4—64no—
574C22⋊C4—128no—
575C22⋊C4—124no—
576C22⋊C4—124no—
577C22⋊C4—128no—
578C22⋊C4—244no—
579C22⋊C4—242no—
580C42—22no—
581C42—22no—
582C42—21no—
583C42—21no—
584C42—122no—
585C42—122no—
586C22×C3—21no—
587C22×C3—21no—
588C22×C3—21no—
589C22×C3—21no—
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—42no—
593C22×C3—42no—
594C22×C3—42no—
595C22×C3—41no—
596C22×C3—42no—
597C22×C3—41no—
598C22×C3—42no—
599C22×C3—42no—
600C22×C3—41no—
601C22×C3—84no—
602C22×C3—81no—
603C22×C3C2×#12011yescharacteristic
604C22×C3#53211yescharacteristic
605C22×C3#53511yescharacteristic
606C22×C3#54612yes—
607C22×C3#55012yes—
608C2×D3—48no—
609C2×D3—44no—
610C2×D3—48no—
611C2×D3—44no—
612C2×D3—44no—
613C2×D3—84no—
614C2×D3—82no—
615C2×D3—84no—
616C2×D3—82no—
617C2×D3—82no—
618C2×D3—82no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—41no—
623C3×C4—42no—
624C3×C4—41no—
625C3×C4—42no—
626C3×C4—41no—
627C3×C4—42no—
628C3×C4B(4,𝔽2)12yes—
629Dic3—44no—
630Dic3—82no—
631Dic3—82no—
632C23—21no—
633C23—21no—
634C23—22no—
635C23—24no—
636C23—21no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—64no—
644C23—64no—
645C23—64no—
646C23—124no—
647C23—122no—
648C23—122no—
649C23—122no—
650C23—122no—
651C23—122no—
652C23—124no—
653C23—124no—
654C23—122no—
655C23—122no—
656C23—124no—
657C23—122no—
658C23—248no—
659C23—248no—
660C23D3×#4112yes—
661C23#100912yes—
662C23C22×#6711yescharacteristic
663C23C22×#6711yescharacteristic
664C23C22×#6711yescharacteristic
665Q8—42no—
666Q8—81no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—44no—
672D4—42no—
673D4—81no—
674D4—82no—
675D4—82no—
676D4—124no—
677D4—124no—
678D4—124no—
679D4—124no—
680D4—2416no—
681D4—248no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—24no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—64no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4—122no—
707C2×C4—122no—
708C2×C4—122no—
709C2×C4—122no—
710C2×C4—122no—
711C2×C4—122no—
712C2×C4—122no—
713C2×C4—122no—
714C2×C4#95311yescharacteristic
715C2×C4#95311yescharacteristic
716C2×C4#95311yescharacteristic
717C2×C4#95311yescharacteristic
718C2×C3—22no—
719C2×C3—21no—
720C2×C3—22no—
721C2×C3—21no—
722C2×C3—81no—
723C2×C3—82no—
724C2×C3#243111yescharacteristic
725C2×C3C2×B(4,𝔽2)11yescharacteristic
726C2×C3#302711yescharacteristic
727D3—84no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—41no—
738C22—42no—
739C22—41no—
740C22—42no—
741C22—42no—
742C22—41no—
743C22—84no—
744C22—81no—
745C22—128no—
746C22—124no—
747C22—128no—
748C22—124no—
749C22—124no—
750C22—244no—
751C22—242no—
752C22—244no—
753C22—242no—
754C22—242no—
755C22—242no—
756C22#582912yes—
757C22#583011yescharacteristic
758C22#583211yescharacteristic
759C22#583412yes—
760C22C2×#95311yescharacteristic
761C4—21no—
762C4—21no—
763C4—21no—
764C4—42no—
765C4—41no—
766C4—41no—
767C4—42no—
768C4—41no—
769C4—42no—
770C4—124no—
771C4—242no—
772C4—242no—
773C4#524412yes—
774C3#2558511yescharacteristic, complemented, Sylow
775C2—22no—
776C2—21no—
777C2—22no—
778C2—21no—
779C2—81no—
780C2—82no—
781C2—244no—
782C2#8409211yescharacteristic
783C2C2×#524411yescharacteristic
784C2#8412611yescharacteristic
subgroupG/H
centerC22C2×#953
commutator, cosocleC24×C3C24
FrattiniC24C23×D3
FittingC3×#3505C2
socleC22×C3C2×#120
hypercenter#3505D3
hypocenterC3#25585
LCSG ▷ C24×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. C3×#3505C2semidirect
2. #82761C2semidirect
3. #82653C2semidirect
4. #82403C2semidirect
5. #71851C2semidirect
6. #71701C2semidirect
7. #71686C2semidirect
8. #71654C2semidirect
9. C4×#834C2semidirect
48. #3505D3semidirect
59. C22×C3×Q8D4semidirect
60. C22×C3×D4D4semidirect
63. C23×C3×C4D4semidirect
116. C2×C3×C4⋊C4D4semidirect
117. C2×C3×C4⋊C4D4semidirect
118. C2×C3×C4⋊C4D4semidirect
119. C2×C3×C4⋊C4D4semidirect
121. C2×C3×C22⋊C4D4semidirect
122. C2×C3×C22⋊C4D4semidirect
125. C2×C3×C42D4semidirect
287. #217#41semidirect
299. C22×Q8#67semidirect
309. C22×D4#67semidirect
312. C23×C4#67semidirect
363. C2×C4⋊C4#67semidirect
364. C2×C4⋊C4#67semidirect
365. C2×C4⋊C4#67semidirect
366. C2×C4⋊C4#67semidirect
377. C2×C22⋊C4#67semidirect
378. C2×C22⋊C4#67semidirect
383. C2×C42#67semidirect
774. C3#25585semidirect

Maximal subgroups

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

subgroupindex
C3×#35052
#827612
#826532
#824032
#718512
#717012
#716862
#716542
C4×#8342
#255853