Finite Group Databasebeta

← #10701787

Subgroups — #10701787

Order 768.

1502 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5525C211yesmaximal, characteristic
2C2×#5139C211yesmaximal, characteristic, complemented
3C22×#823C211yesmaximal, characteristic, complemented
4#82269C211yesmaximal, characteristic, complemented
5C2×#5005C211yesmaximal, characteristic, complemented
6C2×C3×H(3,ℤ/4)C211yesmaximal, characteristic, complemented
7C2×#4531C211yesmaximal, characteristic, complemented
8#10989—31nomaximal, Sylow
9C22×#235C2211yescharacteristic
10C23×D12C2211yescharacteristic
11C22×C3×M16C2211yescharacteristic
12C2×C3×#117C2211yescharacteristic
13C2×C3×#117C2211yescharacteristic
14C2×#926C2211yescharacteristic
15C22×#208C2211yescharacteristic
16#5525—22no—
17#5525—22no—
18#5525—22no—
19#5525—22no—
20C2×#895—22no—
21C2×#882—22no—
22C2×#875C412yescomplemented
23C2×#874C412yescomplemented
24#5139—22no—
25#5139—22no—
26C2×#825—22no—
27C2×#823—22no—
28C2×#823—22no—
29C2×#823—22no—
30#5005—22no—
31#5005—22no—
32#4988—22no—
33#4955—22no—
34#4939—22no—
35C2×#805—22no—
36C3×H(3,ℤ/4)—22no—
37#4531—22no—
38C2×#535—31no—
39C2×#421—31no—
40C2×#421—31no—
41C22×#100—31no—
42#2309—31no—
43C2×H(3,ℤ/4)—31no—
44C2×H(3,ℤ/4)D311yescharacteristic, complemented
45C24×D3D412yes—
46C23×C3×C4C2311yescharacteristic
47C22×#67—21no—
48C2×#235—21no—
49C2×#235—21no—
50C2×#235—21no—
51C2×#235—21no—
52C2×#235—21no—
53C2×#235—21no—
54C2×#235—21no—
55C2×#235—21no—
56C2×#235—21no—
57C2×#235—21no—
58C2×#235D412yes—
59C2×#235D412yes—
60C22×D12—21no—
61C22×D12—21no—
62C22×D12—21no—
63C22×D12—21no—
64C22×D12—21no—
65C22×D12—21no—
66C22×D12—21no—
67C22×D12—21no—
68C22×D12—21no—
69C22×D12—21no—
70C22×D12—21no—
71C22×D12—21no—
72C22×D12—24no—
73C22×D12C2×C412yes—
74C22×D12C2×C411yescharacteristic
75C22×D12D412yes—
76C22×C4×D3—21no—
77C22×Dic6C2×C411yescharacteristic
78C2×C3×M16—21no—
79C2×C3×M16—21no—
80C2×C3×M16—21no—
81C2×C3×M16—21no—
82C2×C3×M16—21no—
83C2×C3×M16D412yescomplemented
84C22×C3×C8—21no—
85C3×#117—21no—
86C3×#117—21no—
87C3×#117—21no—
88C3×#117—21no—
89C3×#117—21no—
90C3×#117—21no—
91C3×#117D412yes—
92C3×#117D412yes—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4—21no—
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×C3×C42C2×C412yes—
98C2×C3×C42D412yescomplemented
99C2×#217—21no—
100C2×(C2×D3)⋊C4—24no—
101C2×(C2×D3)⋊C4—28no—
102#926—21no—
103#926—21no—
104#926—21no—
105#926—21no—
106C2×C4⋊Dic3—21no—
107C2×C4×Dic3D412yescomplemented
108C2×#208—21no—
109C2×#208—21no—
110C2×#208—21no—
111C2×#208—21no—
112C2×#208—21no—
113C2×#208D412yescomplemented
114C22×C3⋊C8—21no—
115#895—28no—
116#895—28no—
117#882—28no—
118#882—28no—
119#875—24no—
120#875—24no—
121#874—24no—
122#874—24no—
123#825—28no—
124#823—28no—
125#805—28no—
126C22×#41—31no—
127C23×D4—31no—
128C22×M16—31no—
129C22×M16C2×D311yescharacteristic
130#535—62no—
131#535—62no—
132#535—62no—
133#535—62no—
134C2×#127—32no—
135C2×#124—32no—
136C2×#121—62no—
137C2×#120—62no—
138C2×#117—31no—
139C2×#117C2×D311yescharacteristic
140C2×#117C2×D311yescharacteristic
141#421—62no—
142#421—62no—
143#421—62no—
144#421—62no—
145C2×#104—62no—
146C2×#104—62no—
147C2×#100—62no—
148C2×#100—62no—
149C2×#100—62no—
150#390—62no—
151#390—62no—
152#379—62no—
153H(3,ℤ/4)—22no—
154H(3,ℤ/4)—62no—
155C24×C3C2×D411yescharacteristic
156C23×D3—21no—
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—22no—
160C23×D3—22no—
161C23×D3—22no—
162C23×D3—22no—
163C23×D3—84no—
164C23×D3C22⋊C414yes—
165C22×C3×C4—22no—
166C22×C3×C4—22no—
167C22×C3×C4C22×C411yescharacteristic
168C22×C3×C4C2×D411yescharacteristic
169C22×C3×C4C2×D411yescharacteristic
170C22×C3×C4C2×D411yescharacteristic
171C22×C3×C4C2×D411yescharacteristic
172C22×C3×C4C2×D411yescharacteristic
173C22×C3×C4C2×D411yescharacteristic
174C22×C3×C4C2×D411yescharacteristic
175C22×C3×C4C2×D411yescharacteristic
176C22×C3×C4C2×D411yescharacteristic
177C22×C3×C4#4111yescharacteristic
178C22×C3×C4#4111yescharacteristic
179C22×C3×C4#4111yescharacteristic
180C22×C3×C4#4111yescharacteristic
181C2×#67—22no—
182C2×#67—22no—
183C2×#67—41no—
184C2×#67—41no—
185C2×#67—41no—
186C2×#67—41no—
187C22×Dic3—21no—
188C22×Dic3—22no—
189#235—22no—
190#235—22no—
191#235—22no—
192#235—22no—
193#235—22no—
194#235—22no—
195#235—22no—
196#235—22no—
197#235—41no—
198#235—41no—
199#235—41no—
200#235—41no—
201#235—41no—
202#235—41no—
203#235—41no—
204#235—41no—
205C2×D12—21no—
206C2×D12—21no—
207C2×D12—21no—
208C2×D12—21no—
209C2×D12—21no—
210C2×D12—22no—
211C2×D12—22no—
212C2×D12—22no—
213C2×D12—22no—
214C2×D12—22no—
215C2×D12—22no—
216C2×D12—22no—
217C2×D12—22no—
218C2×D12—22no—
219C2×D12—22no—
220C2×D12—22no—
221C2×D12—22no—
222C2×D12—216no—
223C2×D12—41no—
224C2×D12—41no—
225C2×D12—41no—
226C2×D12—41no—
227C2×D12—41no—
228C2×D12—41no—
229C2×D12—41no—
230C2×D12—41no—
231C2×D12—41no—
232C2×D12—41no—
233C2×D12—41no—
234C2×D12—41no—
235C2×D12—41no—
236C2×D12—41no—
237C2×D12—41no—
238C2×D12—41no—
239C2×D12—88no—
240C2×D12C22⋊C412yescomplemented
241C2×C4×D3—22no—
242C2×C4×D3—22no—
243C2×C4×D3—41no—
244C2×C4×D3—41no—
245C2×C4×D3—41no—
246C2×C4×D3—41no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6C22⋊C412yescomplemented
253C3×M16—22no—
254C3×M16—22no—
255C3×M16—41no—
256C3×M16—41no—
257C2×C3×C8—22no—
258C2×C3×C8—41no—
259C2×C3×C8—41no—
260C3×C4⋊C4—22no—
261C3×C4⋊C4—22no—
262C3×C4⋊C4—41no—
263C3×C4⋊C4—41no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—41no—
267C3×C22⋊C4—41no—
268C3×C42—22no—
269C3×C42—22no—
270C3×C42—22no—
271C3×C42C22⋊C414yescomplemented
272#217—41no—
273#217—41no—
274(C2×D3)⋊C4—216no—
275(C2×D3)⋊C4—88no—
276C4⋊Dic3—41no—
277C4⋊Dic3—41no—
278C4×Dic3—22no—
279C4×Dic3—22no—
280#208—22no—
281#208—22no—
282#208—41no—
283#208—41no—
284C2×C3⋊C8—22no—
285C2×C3⋊C8—41no—
286C2×C3⋊C8—41no—
287C25—32no—
288C2×#41—32no—
289C2×#41—32no—
290C2×#41—61no—
291C2×#41—61no—
292C2×#41—61no—
293C2×#41—61no—
294C2×#41—61no—
295C2×#41—61no—
296C2×#41—61no—
297C2×#41—61no—
298C2×#41—61no—
299C2×#41—61no—
300C22×Q8—31no—
301C22×D4—31no—
302C22×D4—32no—
303C22×D4—32no—
304C22×D4—64no—
305C22×D4—61no—
306C22×D4—61no—
307C22×D4—61no—
308C22×D4—61no—
309C22×D4—61no—
310C22×D4—61no—
311C22×D4—61no—
312C22×D4—61no—
313C22×D4—61no—
314C22×D4—61no—
315C22×D4—61no—
316C22×D4—61no—
317C22×D4—61no—
318C23×C4—61no—
319C23×C4C22×D311yescharacteristic
320C2×M16—21no—
321C2×M16—21no—
322C2×M16—21no—
323C2×M16—21no—
324C2×M16—21no—
325C2×M16—32no—
326C2×M16—61no—
327C2×M16—61no—
328C2×M16—61no—
329C2×M16—61no—
330C2×M16—61no—
331C2×M16D1212yescomplemented
332C22×C8—21no—
333C22×C8—61no—
334#127—64no—
335#127—64no—
336#124—64no—
337#124—64no—
338#121—68no—
339#121—68no—
340#120—68no—
341#120—68no—
342#117—21no—
343#117—21no—
344#117—21no—
345#117—21no—
346#117—21no—
347#117—21no—
348#117—61no—
349#117—61no—
350#117—61no—
351#117—61no—
352#117D1212yes—
353#117#6712yes—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—61no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—64no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—68no—
362C2×C42—32no—
363C2×C42C4×D312yes—
364C2×C42D1212yescomplemented
365#104—68no—
366#104—68no—
367#100—68no—
368C23×C3—42no—
369C23×C3C2×C22⋊C411yescharacteristic
370C23×C3#12011yescharacteristic
371C23×C3#12011yescharacteristic
372C23×C3#12011yescharacteristic
373C23×C3#12111yescharacteristic
374C23×C3#12111yescharacteristic
375C23×C3#12311yescharacteristic
376C22×D3—24no—
377C22×D3—22no—
378C22×D3—24no—
379C22×D3—24no—
380C22×D3—48no—
381C22×D3—48no—
382C22×D3—44no—
383C22×D3—41no—
384C22×D3—41no—
385C22×D3—42no—
386C22×D3—42no—
387C22×D3—42no—
388C22×D3—42no—
389C22×D3—84no—
390C22×D3—84no—
391C22×D3—84no—
392C22×D3—84no—
393C22×D3—84no—
394C2×C3×C4—24no—
395C2×C3×C4—44no—
396C2×C3×C4—44no—
397C2×C3×C4—42no—
398C2×C3×C4C2×C22⋊C411yescharacteristic
399C2×C3×C4C2×C22⋊C411yescharacteristic
400C2×C3×C4C4×D411yescharacteristic
401C2×C3×C4C4×D411yescharacteristic
402C2×C3×C4C4×D411yescharacteristic
403C2×C3×C4C4×D411yescharacteristic
404C2×C3×C4#12011yescharacteristic
405C2×C3×C4#12011yescharacteristic
406C2×C3×C4#12011yescharacteristic
407C2×C3×C4#12011yescharacteristic
408C2×C3×C4#12011yescharacteristic
409C2×C3×C4#12111yescharacteristic
410C2×C3×C4#12111yescharacteristic
411C2×C3×C4#12111yescharacteristic
412C2×C3×C4#12111yescharacteristic
413C2×C3×C4#12111yescharacteristic
414C2×C3×C4#12111yescharacteristic
415C2×C3×C4#12111yescharacteristic
416C2×C3×C4#12111yescharacteristic
417C2×C3×C4#12111yescharacteristic
418C2×C3×C4#12111yescharacteristic
419C2×C3×C4#12311yescharacteristic
420C2×C3×C4#12311yescharacteristic
421C2×C3×C4#12311yescharacteristic
422C2×C3×C4#12411yescharacteristic
423C2×C3×C4#12411yescharacteristic
424C2×C3×C4#12711yescharacteristic
425C2×C3×C4#12711yescharacteristic
426#67—42no—
427#67—42no—
428#67—42no—
429#67—42no—
430C2×Dic3—22no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—44no—
434C2×Dic3—42no—
435D12—22no—
436D12—22no—
437D12—42no—
438D12—42no—
439D12—42no—
440D12—42no—
441D12—41no—
442D12—41no—
443D12—42no—
444D12—42no—
445D12—42no—
446D12—42no—
447D12—816no—
448C4×D3—42no—
449C4×D3—42no—
450C4×D3—42no—
451C4×D3—42no—
452Dic6—22no—
453Dic6—22no—
454Dic6—41no—
455Dic6—41no—
456C3×C8—42no—
457C3⋊C8—42no—
458C24—34no—
459C24—61no—
460C24—62no—
461C24—62no—
462C24—62no—
463C24—62no—
464C24—62no—
465C24—62no—
466C24—244no—
467C24D3×D411yescharacteristic
468#41—62no—
469#41—62no—
470#41—62no—
471#41—62no—
472#41—62no—
473#41—62no—
474#41—62no—
475#41—62no—
476#41—121no—
477#41—121no—
478#41—121no—
479#41—121no—
480#41—121no—
481#41—121no—
482#41—121no—
483#41—121no—
484C2×Q8—32no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—61no—
488C2×Q8—61no—
489C2×Q8—61no—
490C2×D4—32no—
491C2×D4—616no—
492C2×D4—62no—
493C2×D4—62no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—62no—
497C2×D4—62no—
498C2×D4—62no—
499C2×D4—62no—
500C2×D4—62no—
501C2×D4—62no—
502C2×D4—61no—
503C2×D4—61no—
504C2×D4—62no—
505C2×D4—62no—
506C2×D4—62no—
507C2×D4—62no—
508C2×D4—62no—
509C2×D4—61no—
510C2×D4—62no—
511C2×D4—121no—
512C2×D4—121no—
513C2×D4—121no—
514C2×D4—121no—
515C2×D4—121no—
516C2×D4—121no—
517C2×D4—121no—
518C2×D4—121no—
519C2×D4—121no—
520C2×D4—121no—
521C2×D4—121no—
522C2×D4—121no—
523C2×D4—121no—
524C2×D4—121no—
525C2×D4—121no—
526C2×D4—121no—
527C2×D4—121no—
528C2×D4—121no—
529C2×D4—121no—
530C2×D4—121no—
531C2×D4—248no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—61no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—121no—
539C22×C4—121no—
540C22×C4—121no—
541C22×C4—121no—
542C22×C4C2×C4×D311yescharacteristic
543C22×C4C2×D1211yescharacteristic
544C22×C4C2×D1211yescharacteristic
545C22×C4C2×D1211yescharacteristic
546C22×C4#23511yescharacteristic
547C22×C4#23511yescharacteristic
548C22×C4D3×D411yescharacteristic
549C22×C4D3×D411yescharacteristic
550C22×C4D3×D411yescharacteristic
551C22×C4D3×D411yescharacteristic
552C22×C4D3×D411yescharacteristic
553C22×C4#23911yescharacteristic
554C22×C4#23911yescharacteristic
555C22×C4C2×#6711yescharacteristic
556M16—22no—
557M16—22no—
558M16—41no—
559M16—41no—
560M16—62no—
561M16—62no—
562M16—121no—
563M16—121no—
564C2×C8—22no—
565C2×C8—41no—
566C2×C8—41no—
567C2×C8—62no—
568C2×C8—121no—
569C2×C8—121no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4—121no—
575C4⋊C4—121no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C22⋊C4—616no—
581C22⋊C4—121no—
582C22⋊C4—121no—
583C22⋊C4—248no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—62no—
588C42—62no—
589C42(C2×D3)⋊C414yescomplemented
590C22×C3—22no—
591C22×C3—22no—
592C22×C3—22no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3#37911yescharacteristic
598C22×C3#38611yescharacteristic
599C22×C3#38611yescharacteristic
600C22×C3#39211yescharacteristic
601C22×C3#39211yescharacteristic
602C22×C3#39411yescharacteristic
603C22×C3#39411yescharacteristic
604C2×D3—44no—
605C2×D3—48no—
606C2×D3—48no—
607C2×D3—42no—
608C2×D3—44no—
609C2×D3—82no—
610C2×D3—84no—
611C2×D3—84no—
612C2×D3—84no—
613C2×D3—84no—
614C2×D3—82no—
615C2×D3—84no—
616C3×C4—44no—
617C3×C4—82no—
618C3×C4#38611yescharacteristic
619C3×C4#38611yescharacteristic
620C3×C4#39011yescharacteristic
621C3×C4#39011yescharacteristic
622C3×C4#39211yescharacteristic
623C3×C4#39211yescharacteristic
624C3×C4#39411yescharacteristic
625C3×C4#39411yescharacteristic
626Dic3—42no—
627Dic3—82no—
628C23—42no—
629C23—64no—
630C23—64no—
631C23—62no—
632C23—64no—
633C23—128no—
634C23—128no—
635C23—124no—
636C23—121no—
637C23—121no—
638C23—122no—
639C23—122no—
640C23—122no—
641C23—122no—
642C23—244no—
643C23—244no—
644C23—244no—
645C23—244no—
646C23—244no—
647C23D3×C22⋊C411yescharacteristic
648C23#88211yescharacteristic
649C23#88211yescharacteristic
650C23#88411yescharacteristic
651C23#89411yescharacteristic
652C23#89511yescharacteristic
653C23#93711yescharacteristic
654Q8—62no—
655Q8—62no—
656Q8—121no—
657Q8—121no—
658D4—62no—
659D4—62no—
660D4—122no—
661D4—122no—
662D4—122no—
663D4—122no—
664D4—122no—
665D4—122no—
666D4—122no—
667D4—122no—
668D4—122no—
669D4—121no—
670D4—122no—
671D4—122no—
672D4—121no—
673D4—122no—
674D4—2416no—
675C2×C4—24no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—62no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4—122no—
685C2×C4—122no—
686C2×C4—124no—
687C2×C4—122no—
688C2×C4C4×D1211yescharacteristic
689C2×C4C4×D1211yescharacteristic
690C2×C4#87411yescharacteristic
691C2×C4#87511yescharacteristic
692C2×C4D3×C22⋊C411yescharacteristic
693C2×C4#88211yescharacteristic
694C2×C4#88211yescharacteristic
695C2×C4#88211yescharacteristic
696C2×C4#88211yescharacteristic
697C2×C4#88411yescharacteristic
698C2×C4#88411yescharacteristic
699C2×C4#88411yescharacteristic
700C2×C4#89311yescharacteristic
701C2×C4#89311yescharacteristic
702C2×C4#89411yescharacteristic
703C2×C4#89411yescharacteristic
704C2×C4#89411yescharacteristic
705C2×C4#89511yescharacteristic
706C2×C4#89511yescharacteristic
707C2×C4#89511yescharacteristic
708C2×C4#89511yescharacteristic
709C2×C4#89511yescharacteristic
710C2×C4C2×(C2×D3)⋊C411yescharacteristic
711C2×C4#93011yescharacteristic
712C2×C4#93011yescharacteristic
713C2×C4#93711yescharacteristic
714C2×C4#94011yescharacteristic
715C2×C4#94711yescharacteristic
716C8—42no—
717C8—122no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3#143811yescharacteristic
725C2×C3#191112yes—
726D3—84no—
727D3—82no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—124no—
736C22—128no—
737C22—122no—
738C22—124no—
739C22—128no—
740C22—244no—
741C22—244no—
742C22—244no—
743C22—242no—
744C22—244no—
745C22—244no—
746C22—242no—
747C22#466511yescharacteristic
748C22#466511yescharacteristic
749C22#467111yescharacteristic
750C22#467211yescharacteristic
751C22#495511yescharacteristic
752C22#496011yescharacteristic
753C22#499111yescharacteristic
754C4—44no—
755C4—82no—
756C4—122no—
757C4—242no—
758C4#466511yescharacteristic
759C4#466511yescharacteristic
760C4#467111yescharacteristic
761C4#467211yescharacteristic
762C4#493911yescharacteristic
763C4#496011yescharacteristic
764C4#498811yescharacteristic
765C4#499111yescharacteristic
766C3#1098911yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—21no—
771C2—21no—
772C2—21no—
773C2—244no—
774C2—242no—
775C2#6870512yes—
776C2#6942611yescharacteristic
subgroupG/H
centerC22#4665
commutatorC22×C3×C4C22×C4
FrattiniC23×C4C22×D3
FittingC2×C3×H(3,ℤ/4)C2
socleC22×C3#386
prime radicalC2×#5525C2
cosocleC23×C3×C4C23
hypercenterC2×H(3,ℤ/4)D3
hypocenterC3#10989
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×H(3,ℤ/4)

Complements

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

NH ≅ G/Ntype
2. C2×#5139C2semidirect
3. C22×#823C2semidirect
4. #82269C2semidirect
5. C2×#5005C2semidirect
6. C2×C3×H(3,ℤ/4)C2semidirect
7. C2×#4531C2semidirect
22. C2×#875C4semidirect
23. C2×#874C4semidirect
44. C2×H(3,ℤ/4)D3semidirect
83. C2×C3×M16D4semidirect
98. C2×C3×C42D4semidirect
107. C2×C4×Dic3D4semidirect
113. C2×#208D4semidirect
240. C2×D12C22⋊C4semidirect
252. C2×Dic6C22⋊C4semidirect
271. C3×C42C22⋊C4semidirect
331. C2×M16D12semidirect
364. C2×C42D12semidirect
589. C42(C2×D3)⋊C4semidirect
766. C3#10989semidirect

Maximal subgroups

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

subgroupindex
C2×#55252
C2×#51392
C22×#8232
#822692
C2×#50052
C2×C3×H(3,ℤ/4)2
C2×#45312
#109893