Finite Group Databasebeta

← #10701785

Subgroups — #10701785

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×#5830C211yesmaximal, characteristic
2C2×C3×#421C211yesmaximal, characteristic, complemented
3C2×#5236C211yesmaximal, characteristic, complemented
4C22×#823C211yesmaximal, characteristic, complemented
5#82269C211yesmaximal, characteristic, complemented
6C2×#4557C211yesmaximal, characteristic, complemented
7C2×#4531C211yesmaximal, characteristic, complemented
8#10989—31nomaximal, Sylow
9C22×C3×#41C2211yescharacteristic
10C23×D12C2211yescharacteristic
11C22×C3×M16C2211yescharacteristic
12C2×C3×#117C2211yescharacteristic
13#5830—22no—
14#5830—22no—
15#5830—22no—
16#5830—22no—
17C2×#947C412yescomplemented
18C2×#940C412yescomplemented
19C2×#937—22no—
20C2×#930—22no—
21C2×#926C2211yescharacteristic
22C2×#926C2211yescharacteristic
23C22×#208C2211yescharacteristic
24C3×#421—22no—
25C3×#421—22no—
26C2×C3×#104—22no—
27#5236—22no—
28#5236—22no—
29C2×#837—22no—
30C2×#823—22no—
31C2×#823—22no—
32C2×#823—22no—
33#4988—22no—
34#4955—22no—
35#4939—22no—
36#4557—22no—
37#4531—22no—
38C2×#535—31no—
39C2×#421—31no—
40C2×#421D311yescharacteristic, complemented
41C22×#100—31no—
42#2309—31no—
43C2×H(3,ℤ/4)—31no—
44C2×H(3,ℤ/4)—31no—
45C24×D3D412yes—
46C2×C3×#41—21no—
47C2×C3×#41—21no—
48C2×C3×#41—21no—
49C2×C3×#41—21no—
50C2×C3×#41—21no—
51C2×C3×#41—21no—
52C2×C3×#41—21no—
53C2×C3×#41—21no—
54C2×C3×#41—21no—
55C2×C3×#41—21no—
56C2×C3×#41D412yes—
57C2×C3×#41D412yes—
58C22×C3×Q8C2×C411yescharacteristic
59C22×C3×D4—21no—
60C22×C3×D4C2×C411yescharacteristic
61C23×C3×C4—21no—
62C23×C3×C4C2311yescharacteristic
63C22×#67—24no—
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—21no—
73C22×D12—21no—
74C22×D12—21no—
75C22×D12—21no—
76C22×D12C2×C412yes—
77C22×D12D412yes—
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—
89C2×C3×C4⋊C4—21no—
90C2×C3×C22⋊C4—21no—
91C2×C3×C42D412yescomplemented
92C2×#217—21no—
93C2×#217—21no—
94#947—24no—
95#947—24no—
96#940—24no—
97#940—24no—
98#937—28no—
99#937—28no—
100#930—28no—
101#930—28no—
102C2×(C2×D3)⋊C4—24no—
103C2×(C2×D3)⋊C4—28no—
104#926—21no—
105#926—21no—
106#926—21no—
107#926—21no—
108#926—21no—
109#926—21no—
110#926D412yes—
111#926D412yes—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3—21no—
114C2×C4×Dic3C2×C412yes—
115C2×C4×Dic3D412yescomplemented
116C2×#208—21no—
117C2×#208—21no—
118C2×#208—21no—
119C2×#208—21no—
120C2×#208—21no—
121C2×#208D412yescomplemented
122C22×C3⋊C8—21no—
123C3×#104—28no—
124#837—28no—
125#823—28no—
126C22×#41C2×D311yescharacteristic
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×#117—31no—
140C2×#117C2×D311yescharacteristic
141#421—22no—
142#421—22no—
143#421—62no—
144#421—62no—
145C2×#104—22no—
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)—62no—
154H(3,ℤ/4)—62no—
155C24×C3—21no—
156C24×C3C2×D411yescharacteristic
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—22no—
160C23×D3—22no—
161C23×D3—22no—
162C23×D3—22no—
163C23×D3—84no—
164C23×D3C22⋊C414yes—
165C3×#41—22no—
166C3×#41—22no—
167C3×#41—22no—
168C3×#41—22no—
169C3×#41—22no—
170C3×#41—22no—
171C3×#41—22no—
172C3×#41—22no—
173C3×#41—41no—
174C3×#41—41no—
175C3×#41—41no—
176C3×#41—41no—
177C3×#41—41no—
178C3×#41—41no—
179C3×#41—41no—
180C3×#41—41no—
181C2×C3×Q8—21no—
182C2×C3×Q8—21no—
183C2×C3×Q8—21no—
184C2×C3×Q8—21no—
185C2×C3×Q8—21no—
186C2×C3×Q8C22⋊C412yescomplemented
187C2×C3×D4—22no—
188C2×C3×D4—22no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—41no—
195C2×C3×D4—41no—
196C2×C3×D4—41no—
197C2×C3×D4—41no—
198C2×C3×D4C22⋊C412yescomplemented
199C22×C3×C4—21no—
200C22×C3×C4—22no—
201C22×C3×C4—22no—
202C22×C3×C4—22no—
203C22×C3×C4—41no—
204C22×C3×C4—41no—
205C22×C3×C4—41no—
206C22×C3×C4—41no—
207C22×C3×C4C22×C411yescharacteristic
208C22×C3×C4C2×D411yescharacteristic
209C22×C3×C4C2×D411yescharacteristic
210C22×C3×C4C2×D411yescharacteristic
211C22×C3×C4C2×D411yescharacteristic
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4#4111yescharacteristic
218C22×C3×C4#4111yescharacteristic
219C22×C3×C4#4111yescharacteristic
220C22×C3×C4#4111yescharacteristic
221C2×#67—216no—
222C2×#67—88no—
223C22×Dic3—22no—
224C22×Dic3—22no—
225C2×D12—22no—
226C2×D12—22no—
227C2×D12—22no—
228C2×D12—22no—
229C2×D12—22no—
230C2×D12—22no—
231C2×D12—22no—
232C2×D12—22no—
233C2×D12—22no—
234C2×D12—22no—
235C2×D12—22no—
236C2×D12—22no—
237C2×D12—41no—
238C2×D12—41no—
239C2×D12—41no—
240C2×D12—41no—
241C2×D12—41no—
242C2×D12—41no—
243C2×D12—41no—
244C2×D12—41no—
245C2×D12—41no—
246C2×D12—41no—
247C2×D12—41no—
248C2×D12—41no—
249C2×D12—41no—
250C2×D12—41no—
251C2×D12—41no—
252C2×D12—41no—
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—41no—
261C3×C4⋊C4—41no—
262C3×C22⋊C4—41no—
263C3×C22⋊C4—41no—
264C3×C42—22no—
265C3×C42—22no—
266#217—22no—
267#217—22no—
268#217—41no—
269#217—41no—
270(C2×D3)⋊C4—216no—
271(C2×D3)⋊C4—88no—
272C4⋊Dic3—22no—
273C4⋊Dic3—22no—
274C4⋊Dic3—41no—
275C4⋊Dic3—41no—
276C4×Dic3—22no—
277C4×Dic3—22no—
278C4×Dic3—22no—
279C4×Dic3C22⋊C414yescomplemented
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—21no—
289C2×#41—21no—
290C2×#41—21no—
291C2×#41—21no—
292C2×#41—21no—
293C2×#41—21no—
294C2×#41—21no—
295C2×#41—21no—
296C2×#41—21no—
297C2×#41—21no—
298C2×#41D1212yes—
299C2×#41#6712yes—
300C22×Q8C4×D311yescharacteristic
301C22×D4—21no—
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×D4C4×D311yescharacteristic
318C23×C4—21no—
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×M16#6712yescomplemented
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—32no—
347#117—32no—
348#117—61no—
349#117—61no—
350#117—61no—
351#117—61no—
352#117—61no—
353#117—61no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—64no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—68no—
362C2×C42—32no—
363C2×C42—32no—
364C2×C42#6712yescomplemented
365#104—28no—
366#104—68no—
367#100—68no—
368C23×C3—22no—
369C23×C3—42no—
370C23×C3—44no—
371C23×C3—41no—
372C23×C3—41no—
373C23×C3C2×C22⋊C411yescharacteristic
374C23×C3#12011yescharacteristic
375C23×C3#12011yescharacteristic
376C23×C3#12011yescharacteristic
377C23×C3#12111yescharacteristic
378C23×C3#12111yescharacteristic
379C23×C3#12311yescharacteristic
380C22×D3—24no—
381C22×D3—24no—
382C22×D3—24no—
383C22×D3—48no—
384C22×D3—48no—
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—
394C3×Q8—22no—
395C3×Q8—22no—
396C3×Q8—41no—
397C3×Q8—41no—
398C3×D4—22no—
399C3×D4—22no—
400C3×D4—42no—
401C3×D4—42no—
402C3×D4—42no—
403C3×D4—42no—
404C3×D4—41no—
405C3×D4—41no—
406C2×C3×C4—22no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—42no—
410C2×C3×C4—42no—
411C2×C3×C4—42no—
412C2×C3×C4—42no—
413C2×C3×C4—44no—
414C2×C3×C4—42no—
415C2×C3×C4C2×C22⋊C411yescharacteristic
416C2×C3×C4C2×C22⋊C411yescharacteristic
417C2×C3×C4C4×D411yescharacteristic
418C2×C3×C4C4×D411yescharacteristic
419C2×C3×C4C4×D411yescharacteristic
420C2×C3×C4C4×D411yescharacteristic
421C2×C3×C4#12011yescharacteristic
422C2×C3×C4#12011yescharacteristic
423C2×C3×C4#12011yescharacteristic
424C2×C3×C4#12011yescharacteristic
425C2×C3×C4#12011yescharacteristic
426C2×C3×C4#12111yescharacteristic
427C2×C3×C4#12111yescharacteristic
428C2×C3×C4#12111yescharacteristic
429C2×C3×C4#12111yescharacteristic
430C2×C3×C4#12111yescharacteristic
431C2×C3×C4#12111yescharacteristic
432C2×C3×C4#12111yescharacteristic
433C2×C3×C4#12111yescharacteristic
434C2×C3×C4#12111yescharacteristic
435C2×C3×C4#12111yescharacteristic
436C2×C3×C4#12311yescharacteristic
437C2×C3×C4#12311yescharacteristic
438C2×C3×C4#12311yescharacteristic
439C2×C3×C4#12411yescharacteristic
440C2×C3×C4#12411yescharacteristic
441C2×C3×C4#12711yescharacteristic
442C2×C3×C4#12711yescharacteristic
443#67—816no—
444C2×Dic3—24no—
445C2×Dic3—44no—
446C2×Dic3—44no—
447C2×Dic3—42no—
448D12—42no—
449D12—42no—
450D12—42no—
451D12—42no—
452D12—42no—
453D12—42no—
454D12—42no—
455D12—42no—
456C3×C8—42no—
457C3⋊C8—42no—
458C24—21no—
459C24—34no—
460C24—62no—
461C24—62no—
462C24—62no—
463C24—62no—
464C24—62no—
465C24—62no—
466C24—244no—
467C24D3×D411yescharacteristic
468#41—22no—
469#41—22no—
470#41—22no—
471#41—22no—
472#41—22no—
473#41—22no—
474#41—22no—
475#41—22no—
476#41—41no—
477#41—41no—
478#41—41no—
479#41—41no—
480#41—41no—
481#41—41no—
482#41—41no—
483#41—41no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8(C2×D3)⋊C412yescomplemented
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—41no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—41no—
501C2×D4—616no—
502C2×D4—62no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—62no—
506C2×D4—62no—
507C2×D4—62no—
508C2×D4—62no—
509C2×D4—62no—
510C2×D4—62no—
511C2×D4—62no—
512C2×D4—62no—
513C2×D4—62no—
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—248no—
531C2×D4(C2×D3)⋊C412yescomplemented
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—41no—
537C22×C4—41no—
538C22×C4—41no—
539C22×C4—41no—
540C22×C4—62no—
541C22×C4—62no—
542C22×C4C2×C4×D311yescharacteristic
543C22×C4C2×D1211yescharacteristic
544C22×C4#23511yescharacteristic
545C22×C4#23511yescharacteristic
546C22×C4D3×D411yescharacteristic
547C22×C4D3×D411yescharacteristic
548C22×C4D3×D411yescharacteristic
549C22×C4D3×D411yescharacteristic
550C22×C4D3×D411yescharacteristic
551C22×C4#23711yescharacteristic
552C22×C4#23711yescharacteristic
553C22×C4C2×#6711yescharacteristic
554C22×C4C2×#6711yescharacteristic
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—41no—
571C4⋊C4—41no—
572C4⋊C4—62no—
573C4⋊C4—62no—
574C4⋊C4—121no—
575C4⋊C4—121no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—616no—
579C22⋊C4—62no—
580C22⋊C4—62no—
581C22⋊C4—121no—
582C22⋊C4—121no—
583C22⋊C4—248no—
584C42—22no—
585C42—22no—
586C42—34no—
587C42—62no—
588C42—62no—
589C42—62no—
590C22×C3—22no—
591C22×C3—22no—
592C22×C3—22no—
593C22×C3—41no—
594C22×C3—41no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—44no—
598C22×C3—42no—
599C22×C3—82no—
600C22×C3—82no—
601C22×C3#37911yescharacteristic
602C22×C3#38611yescharacteristic
603C22×C3#38611yescharacteristic
604C22×C3#39211yescharacteristic
605C22×C3#39211yescharacteristic
606C22×C3#39411yescharacteristic
607C22×C3#39411yescharacteristic
608C2×D3—48no—
609C2×D3—48no—
610C2×D3—44no—
611C2×D3—84no—
612C2×D3—84no—
613C2×D3—84no—
614C2×D3—84no—
615C2×D3—84no—
616C3×C4—42no—
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—44no—
627Dic3—82no—
628C23—22no—
629C23—42no—
630C23—44no—
631C23—41no—
632C23—41no—
633C23—64no—
634C23—64no—
635C23—64no—
636C23—128no—
637C23—128no—
638C23—122no—
639C23—122no—
640C23—122no—
641C23—122no—
642C23—244no—
643C23—244no—
644C23—244no—
645C23—244no—
646C23—244no—
647C23D3×C22⋊C411yescharacteristic
648C23#88211yescharacteristic
649C23#88311yescharacteristic
650C23#88411yescharacteristic
651C23#93711yescharacteristic
652C23#93711yescharacteristic
653C23#93811yescharacteristic
654Q8—22no—
655Q8—22no—
656Q8—41no—
657Q8—41no—
658D4—22no—
659D4—22no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—42no—
664D4—41no—
665D4—41no—
666D4—122no—
667D4—122no—
668D4—122no—
669D4—122no—
670D4—122no—
671D4—122no—
672D4—122no—
673D4—122no—
674D4—2416no—
675C2×C4—22no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—64no—
685C2×C4—124no—
686C2×C4—124no—
687C2×C4—122no—
688C2×C4D3×C22⋊C411yescharacteristic
689C2×C4#67⋊C411yescharacteristic
690C2×C4#67⋊C411yescharacteristic
691C2×C4#88211yescharacteristic
692C2×C4#88211yescharacteristic
693C2×C4#88311yescharacteristic
694C2×C4#88411yescharacteristic
695C2×C4#88411yescharacteristic
696C2×C4#88411yescharacteristic
697C2×C4#88511yescharacteristic
698C2×C4#88511yescharacteristic
699C2×C4#88611yescharacteristic
700C2×C4C2×(C2×D3)⋊C411yescharacteristic
701C2×C4C4×#6711yescharacteristic
702C2×C4C4×#6711yescharacteristic
703C2×C4#92911yescharacteristic
704C2×C4#93011yescharacteristic
705C2×C4#93011yescharacteristic
706C2×C4#93711yescharacteristic
707C2×C4#93711yescharacteristic
708C2×C4#93811yescharacteristic
709C2×C4#93911yescharacteristic
710C2×C4#93911yescharacteristic
711C2×C4#93911yescharacteristic
712C2×C4#93911yescharacteristic
713C2×C4#94011yescharacteristic
714C2×C4#94011yescharacteristic
715C2×C4#95311yescharacteristic
716C8—42no—
717C8—122no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—82no—
725C2×C3#143811yescharacteristic
726C2×C3#191112yes—
727D3—84no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—44no—
736C22—42no—
737C22—82no—
738C22—82no—
739C22—128no—
740C22—128no—
741C22—124no—
742C22—244no—
743C22—244no—
744C22—244no—
745C22—244no—
746C22—244no—
747C22#495511yescharacteristic
748C22#495611yescharacteristic
749C22#495611yescharacteristic
750C22#495911yescharacteristic
751C22#496011yescharacteristic
752C22#496111yescharacteristic
753C22#522311yescharacteristic
754C4—42no—
755C4—82no—
756C4—124no—
757C4—242no—
758C4#495711yescharacteristic
759C4#495711yescharacteristic
760C4#495811yescharacteristic
761C4#495911yescharacteristic
762C4#496011yescharacteristic
763C4#496111yescharacteristic
764C4#521311yescharacteristic
765C4#522311yescharacteristic
766C3#1098911yescharacteristic, complemented, Sylow
767C2—21no—
768C2—21no—
769C2—21no—
770C2—21no—
771C2—21no—
772C2—21no—
773C2—82no—
774C2—244no—
775C2#7040812yes—
776C2#7155011yescharacteristic
subgroupG/H
centerC22#4956
commutatorC22×C3×C4C22×C4
FrattiniC23×C4C22×D3
FittingC2×C3×#421C2
socleC22×C3#386
prime radicalC2×#5830C2
cosocleC23×C3×C4C23
hypercenterC2×#421D3
hypocenterC3#10989
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#421

Complements

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

NH ≅ G/Ntype
2. C2×C3×#421C2semidirect
3. C2×#5236C2semidirect
4. C22×#823C2semidirect
5. #82269C2semidirect
6. C2×#4557C2semidirect
7. C2×#4531C2semidirect
17. C2×#947C4semidirect
18. C2×#940C4semidirect
40. C2×#421D3semidirect
83. C2×C3×M16D4semidirect
91. C2×C3×C42D4semidirect
115. C2×C4×Dic3D4semidirect
121. C2×#208D4semidirect
186. C2×C3×Q8C22⋊C4semidirect
198. C2×C3×D4C22⋊C4semidirect
279. C4×Dic3C22⋊C4semidirect
331. C2×M16#67semidirect
364. C2×C42#67semidirect
489. C2×Q8(C2×D3)⋊C4semidirect
531. C2×D4(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×#58302
C2×C3×#4212
C2×#52362
C22×#8232
#822692
C2×#45572
C2×#45312
#109893