Finite Group Databasebeta

← #10701913

Subgroups — #10701913

Order 768.

1422 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#949C211yesmaximal, characteristic
2C2×C3×#410C211yesmaximal, characteristic, complemented
3C2×#5236C211yesmaximal, characteristic, complemented
4#82269C211yesmaximal, characteristic, complemented
5C2×#5001C211yesmaximal, characteristic, complemented
6C2×#4533C211yesmaximal, characteristic, complemented
7C2×#4531C211yesmaximal, characteristic, complemented
8#11012—31nomaximal, Sylow
9C22×C3×#41C2211yescharacteristic
10C23×D12C2211yescharacteristic
11C2×C3×#117C2211yescharacteristic
12C2×C3×#117C2211yescharacteristic
13C2×#949—22no—
14C2×#949—22no—
15C2×#949—22no—
16C2×#949—22no—
17C2×#949—22no—
18C2×#949—22no—
19C22×#215C412yescomplemented
20C22×#213C412yescomplemented
21C2×#926C2211yescharacteristic
22C22×#208C2211yescharacteristic
23C22×#208C2211yescharacteristic
24C3×#410—22no—
25C3×#410—22no—
26C2×C3×#99—22no—
27#5236—22no—
28#5236—22no—
29C2×#837—22no—
30#5001—22no—
31#5001—22no—
32#4988—22no—
33C2×#809—22no—
34#4955—22no—
35#4939—22no—
36#4533—22no—
37#4531—22no—
38C22×AGL(1,ℤ/8)—31no—
39C2×#421—31no—
40C2×#418—31no—
41C2×#410D311yescharacteristic, complemented
42#2309—31no—
43C2×#344—31no—
44C2×H(3,ℤ/4)—31no—
45C24×D3—21no—
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×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—21no—
73C22×D12—21no—
74C22×D12C2×C412yes—
75C22×D12D412yes—
76C22×D12D412yes—
77C3×#117—21no—
78C3×#117—21no—
79C3×#117—21no—
80C3×#117—21no—
81C3×#117—21no—
82C3×#117—21no—
83C3×#117—21no—
84C3×#117D412yes—
85C2×C3×C4⋊C4—21no—
86C2×C3×C4⋊C4—21no—
87C2×C3×C22⋊C4—21no—
88C2×C3×C22⋊C4D412yes—
89C2×C3×C42—21no—
90C2×C3×C42—21no—
91C2×#217—21no—
92#949—28no—
93#949—28no—
94#949—28no—
95#949—28no—
96C2×#215—24no—
97C2×#215—24no—
98C2×#215—24no—
99C2×#213—24no—
100C2×#213—24no—
101C2×#213—24no—
102C2×(C2×D3)⋊C4—28no—
103#926—21no—
104#926—21no—
105#926—21no—
106#926—21no—
107C2×C4⋊Dic3—21no—
108C2×C4×Dic3D412yes—
109C2×#208—21no—
110C2×#208—21no—
111C2×#208—21no—
112C2×#208—21no—
113C2×#208—21no—
114C2×#208—21no—
115C2×#208—21no—
116C2×#208—21no—
117C2×#208—21no—
118C2×#208D412yes—
119C2×#208D412yes—
120C2×#208D412yes—
121C22×C3⋊C8—21no—
122C22×C3⋊C8C2×C412yes—
123C3×#99—28no—
124#837—28no—
125#809—28no—
126C22×#41C2×D311yescharacteristic
127C23×D4—31no—
128C2×AGL(1,ℤ/8)—62no—
129C2×AGL(1,ℤ/8)—62no—
130C2×AGL(1,ℤ/8)—62no—
131C2×AGL(1,ℤ/8)—62no—
132C2×AGL(1,ℤ/8)—62no—
133C2×AGL(1,ℤ/8)—62no—
134C22×SD16—32no—
135C22×D8—32no—
136C22×M16—31no—
137C22×M16—31no—
138C2×#117—31no—
139C2×#117C2×D311yescharacteristic
140C2×#117C2×D311yescharacteristic
141#421—62no—
142#421—62no—
143C2×#104—62no—
144#418—62no—
145#418—62no—
146C2×#102—62no—
147#410—22no—
148#410—22no—
149C2×#99—22no—
150#390—62no—
151#390—62no—
152#379—62no—
153#344—62no—
154H(3,ℤ/4)—62no—
155C24×C3—21no—
156C24×C3C2×D411yescharacteristic
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—22no—
160C23×D3—41no—
161C23×D3—41no—
162C23×D3—41no—
163C23×D3—41no—
164C23×D3—84no—
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×C4—41no—
208C22×C3×C4C22×C411yescharacteristic
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×C4C2×D411yescharacteristic
218C22×C3×C4#4111yescharacteristic
219C22×C3×C4#4111yescharacteristic
220C22×C3×C4#4111yescharacteristic
221C22×C3×C4#4111yescharacteristic
222C22×Dic3—22no—
223C2×D12—22no—
224C2×D12—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—22no—
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×D12C22⋊C414yes—
251C3×C4⋊C4—22no—
252C3×C4⋊C4—41no—
253C3×C4⋊C4—41no—
254C3×C4⋊C4—41no—
255C3×C22⋊C4—22no—
256C3×C22⋊C4—22no—
257C3×C22⋊C4—22no—
258C3×C22⋊C4—41no—
259C3×C42—22no—
260C3×C42—41no—
261C3×C42—41no—
262C3×C42—41no—
263#217—41no—
264#217—41no—
265#215—216no—
266#213—216no—
267(C2×D3)⋊C4—88no—
268C4⋊Dic3—41no—
269C4⋊Dic3—41no—
270C4×Dic3—22no—
271C4×Dic3—22no—
272#208—22no—
273#208—22no—
274#208—22no—
275#208—22no—
276#208—22no—
277#208—22no—
278#208—41no—
279#208—41no—
280C2×C3⋊C8—22no—
281C2×C3⋊C8—22no—
282C2×C3⋊C8—22no—
283C2×C3⋊C8—41no—
284C2×C3⋊C8—41no—
285C2×C3⋊C8C22⋊C414yescomplemented
286C25—61no—
287C2×#41—21no—
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×#41D1212yes—
298C2×#41#6712yes—
299C22×Q8C4×D311yescharacteristic
300C22×D4—21no—
301C22×D4—32no—
302C22×D4—32no—
303C22×D4—32no—
304C22×D4—61no—
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×D4C4×D311yescharacteristic
316C23×C4—21no—
317C23×C4C22×D311yescharacteristic
318AGL(1,ℤ/8)—68no—
319AGL(1,ℤ/8)—68no—
320AGL(1,ℤ/8)—68no—
321AGL(1,ℤ/8)—68no—
322C2×SD16—64no—
323C2×SD16—64no—
324C2×SD16—64no—
325C2×D8—64no—
326C2×D8—64no—
327C2×D8—64no—
328C2×M16—32no—
329C2×M16—32no—
330C2×M16—32no—
331C2×M16—61no—
332C2×M16—61no—
333C2×M16—61no—
334C2×M16—61no—
335C2×M16—61no—
336C2×M16—61no—
337C2×M16—61no—
338C2×M16—61no—
339C2×M16—61no—
340C22×C8—32no—
341C22×C8—61no—
342#117—21no—
343#117—21no—
344#117—21no—
345#117—21no—
346#117—21no—
347#117—21no—
348#117—21no—
349#117—61no—
350#117—61no—
351#117—61no—
352#117—61no—
353#117#6712yes—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—61no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—61no—
359C2×C22⋊C4—68no—
360C2×C22⋊C4#6712yes—
361C2×C42—21no—
362C2×C42—21no—
363C2×C42—32no—
364#104—68no—
365#102—68no—
366#99—28no—
367C23×C3—22no—
368C23×C3—42no—
369C23×C3—41no—
370C23×C3—41no—
371C23×C3—82no—
372C23×C3C4×D411yescharacteristic
373C23×C3#12011yescharacteristic
374C23×C3#12011yescharacteristic
375C23×C3#12111yescharacteristic
376C23×C3#12111yescharacteristic
377C23×C3#12111yescharacteristic
378C23×C3#12711yescharacteristic
379C22×D3—24no—
380C22×D3—48no—
381C22×D3—42no—
382C22×D3—42no—
383C22×D3—42no—
384C22×D3—42no—
385C22×D3—42no—
386C22×D3—42no—
387C22×D3—84no—
388C22×D3—84no—
389C22×D3—84no—
390C22×D3—84no—
391C22×D3—84no—
392C22×D3—84no—
393C3×Q8—22no—
394C3×Q8—22no—
395C3×Q8—41no—
396C3×Q8—41no—
397C3×D4—22no—
398C3×D4—22no—
399C3×D4—42no—
400C3×D4—42no—
401C3×D4—42no—
402C3×D4—42no—
403C3×D4—41no—
404C3×D4—41no—
405C2×C3×C4—22no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—42no—
409C2×C3×C4—42no—
410C2×C3×C4—42no—
411C2×C3×C4—42no—
412C2×C3×C4—44no—
413C2×C3×C4—42no—
414C2×C3×C4—42no—
415C2×C3×C4—82no—
416C2×C3×C4C2×C22⋊C411yescharacteristic
417C2×C3×C4C2×C22⋊C411yescharacteristic
418C2×C3×C4C2×C22⋊C411yescharacteristic
419C2×C3×C4C4×D411yescharacteristic
420C2×C3×C4C4×D411yescharacteristic
421C2×C3×C4C4×D411yescharacteristic
422C2×C3×C4#12011yescharacteristic
423C2×C3×C4#12011yescharacteristic
424C2×C3×C4#12011yescharacteristic
425C2×C3×C4#12011yescharacteristic
426C2×C3×C4#12011yescharacteristic
427C2×C3×C4#12011yescharacteristic
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#12111yescharacteristic
437C2×C3×C4#12311yescharacteristic
438C2×C3×C4#12311yescharacteristic
439C2×C3×C4#12311yescharacteristic
440C2×C3×C4#12311yescharacteristic
441C2×C3×C4#12411yescharacteristic
442C2×C3×C4#12411yescharacteristic
443C2×C3×C4#12711yescharacteristic
444C2×Dic3—44no—
445C2×Dic3—42no—
446D12—24no—
447D12—24no—
448D12—42no—
449D12—42no—
450D12—42no—
451D12—42no—
452D12—42no—
453D12—42no—
454C3⋊C8—24no—
455C3⋊C8—42no—
456C24—21no—
457C24—62no—
458C24—62no—
459C24—62no—
460C24—121no—
461C24—121no—
462C24—121no—
463C24—121no—
464C24—244no—
465C24C2×#6711yescharacteristic
466#41—22no—
467#41—22no—
468#41—22no—
469#41—22no—
470#41—22no—
471#41—22no—
472#41—22no—
473#41—22no—
474#41—41no—
475#41—41no—
476#41—41no—
477#41—41no—
478#41—41no—
479#41—41no—
480#41—41no—
481#41—41no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8(C2×D3)⋊C412yescomplemented
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—34no—
496C2×D4—41no—
497C2×D4—41no—
498C2×D4—41no—
499C2×D4—41no—
500C2×D4—62no—
501C2×D4—62no—
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—62no—
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(C2×D3)⋊C412yescomplemented
528C22×C4—21no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—41no—
533C22×C4—41no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—62no—
538C22×C4C2×C4×D311yescharacteristic
539C22×C4C2×D1211yescharacteristic
540C22×C4#23511yescharacteristic
541C22×C4#23511yescharacteristic
542C22×C4D3×D411yescharacteristic
543C22×C4D3×D411yescharacteristic
544C22×C4D3×D411yescharacteristic
545C22×C4D3×D411yescharacteristic
546C22×C4D3×D411yescharacteristic
547C22×C4D3×D411yescharacteristic
548C22×C4#23711yescharacteristic
549C22×C4#23711yescharacteristic
550C22×C4C2×#6711yescharacteristic
551C22×C4C2×#6711yescharacteristic
552SD16—616no—
553D8—616no—
554M16—62no—
555M16—62no—
556M16—62no—
557M16—62no—
558M16—62no—
559M16—62no—
560M16—121no—
561M16—121no—
562C2×C8—34no—
563C2×C8—62no—
564C2×C8—62no—
565C2×C8—62no—
566C2×C8—121no—
567C2×C8—121no—
568C4⋊C4—22no—
569C4⋊C4—41no—
570C4⋊C4—41no—
571C4⋊C4—41no—
572C4⋊C4—121no—
573C4⋊C4—121no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—41no—
578C22⋊C4—121no—
579C22⋊C4—121no—
580C22⋊C4—248no—
581C42—22no—
582C42—41no—
583C42—41no—
584C42—41no—
585C42—62no—
586C42—62no—
587C22×C3—22no—
588C22×C3—22no—
589C22×C3—22no—
590C22×C3—41no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—41no—
594C22×C3—42no—
595C22×C3—82no—
596C22×C3—82no—
597C22×C3—82no—
598C22×C3#38611yescharacteristic
599C22×C3#38611yescharacteristic
600C22×C3#39011yescharacteristic
601C22×C3#39211yescharacteristic
602C22×C3#39211yescharacteristic
603C22×C3#39211yescharacteristic
604C22×C3#39411yescharacteristic
605C2×D3—48no—
606C2×D3—44no—
607C2×D3—84no—
608C2×D3—84no—
609C2×D3—84no—
610C2×D3—84no—
611C2×D3—84no—
612C2×D3—84no—
613C3×C4—42no—
614C3×C4—82no—
615C3×C4—82no—
616C3×C4#37911yescharacteristic
617C3×C4#38611yescharacteristic
618C3×C4#38611yescharacteristic
619C3×C4#39011yescharacteristic
620C3×C4#39211yescharacteristic
621C3×C4#39411yescharacteristic
622C3×C4#39411yescharacteristic
623C3×C4#39411yescharacteristic
624Dic3—82no—
625C23—22no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—64no—
630C23—82no—
631C23—128no—
632C23—122no—
633C23—122no—
634C23—122no—
635C23—122no—
636C23—122no—
637C23—122no—
638C23—244no—
639C23—244no—
640C23—244no—
641C23—244no—
642C23—244no—
643C23—244no—
644C23C4×#6711yescharacteristic
645C23#93011yescharacteristic
646C23#93711yescharacteristic
647C23#93811yescharacteristic
648C23#93911yescharacteristic
649C23#94011yescharacteristic
650C23#95311yescharacteristic
651Q8—22no—
652Q8—22no—
653Q8—41no—
654Q8—41no—
655D4—22no—
656D4—22no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—41no—
662D4—41no—
663D4—64no—
664D4—64no—
665D4—122no—
666D4—122no—
667D4—122no—
668D4—122no—
669D4—122no—
670D4—122no—
671C2×C4—22no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—82no—
682C2×C4—124no—
683C2×C4—122no—
684C2×C4D3×C22⋊C411yescharacteristic
685C2×C4D3×C22⋊C411yescharacteristic
686C2×C4#67⋊C411yescharacteristic
687C2×C4#67⋊C411yescharacteristic
688C2×C4#88211yescharacteristic
689C2×C4#88211yescharacteristic
690C2×C4#88211yescharacteristic
691C2×C4#88311yescharacteristic
692C2×C4#88311yescharacteristic
693C2×C4#88411yescharacteristic
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×C4#92911yescharacteristic
703C2×C4#93011yescharacteristic
704C2×C4#93711yescharacteristic
705C2×C4#93711yescharacteristic
706C2×C4#93711yescharacteristic
707C2×C4#93811yescharacteristic
708C2×C4#93911yescharacteristic
709C2×C4#93911yescharacteristic
710C2×C4#93911yescharacteristic
711C2×C4#94011yescharacteristic
712C8—64no—
713C8—122no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—82no—
721C2×C3#143811yescharacteristic
722C2×C3#190412yes—
723D3—84no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—42no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—124no—
736C22—128no—
737C22—244no—
738C22—244no—
739C22—244no—
740C22—244no—
741C22—244no—
742C22—244no—
743C22#495611yescharacteristic
744C22#495711yescharacteristic
745C22#496011yescharacteristic
746C22#496111yescharacteristic
747C22#521311yescharacteristic
748C22#522311yescharacteristic
749C22#522311yescharacteristic
750C4—42no—
751C4—82no—
752C4—82no—
753C4—242no—
754C4#495511yescharacteristic
755C4#495611yescharacteristic
756C4#495711yescharacteristic
757C4#495811yescharacteristic
758C4#495911yescharacteristic
759C4#495911yescharacteristic
760C4#496011yescharacteristic
761C4#496111yescharacteristic
762C3#1101211yescharacteristic, complemented, Sylow
763C2—21no—
764C2—21no—
765C2—21no—
766C2—21no—
767C2—21no—
768C2—21no—
769C2—82no—
770C2—244no—
771C2#7004912yes—
772C2#7155011yescharacteristic
subgroupG/H
centerC22#4956
commutatorC22×C3×C4C22×C4
FrattiniC23×C4C22×D3
FittingC2×C3×#410C2
socleC22×C3#386
prime radicalC22×#949C2
cosocleC23×C3×C4C23
hypercenterC2×#410D3
hypocenterC3#11012
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#410

Complements

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

NH ≅ G/Ntype
2. C2×C3×#410C2semidirect
3. C2×#5236C2semidirect
4. #82269C2semidirect
5. C2×#5001C2semidirect
6. C2×#4533C2semidirect
7. C2×#4531C2semidirect
19. C22×#215C4semidirect
20. C22×#213C4semidirect
41. C2×#410D3semidirect
186. C2×C3×Q8C22⋊C4semidirect
198. C2×C3×D4C22⋊C4semidirect
285. C2×C3⋊C8C22⋊C4semidirect
487. C2×Q8(C2×D3)⋊C4semidirect
527. C2×D4(C2×D3)⋊C4semidirect
762. C3#11012semidirect

Maximal subgroups

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

subgroupindex
C22×#9492
C2×C3×#4102
C2×#52362
#822692
C2×#50012
C2×#45332
C2×#45312
#110123