Finite Group Databasebeta

← D12×#99 #10810512

Subgroups — D12×#99 #10810512

Order 768.

2102 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×D12C211yesmaximal, characteristic
2C2×D3×#99C212yesmaximal, complemented
3C22⋊C4×D12C212yesmaximal, complemented
4C3×C4×#99C211yesmaximal, characteristic, complemented
5#71619C211yesmaximal, characteristic, complemented
6#70035C212yesmaximal, complemented
7#69456C212yesmaximal, complemented
8#68970C214yesmaximal, complemented
9D4×#99—31nomaximal, Sylow
10C22×D3×D4C2212yes—
11C23×D12C411yescharacteristic, complemented
12C23×D12C2211yescharacteristic
13C2×C3×C4×D4C2211yescharacteristic
14C2×#930C411yescharacteristic, complemented
15C2×#930C2211yescharacteristic
16D4×D12—22no—
17D4×D12—24no—
18D4×D12—22no—
19C2×#895C412yescomplemented
20C2×#882C412yescomplemented
21C2×#882C2212yes—
22C2×D3×C22⋊C4C2214yescomplemented
23C2×#874C411yescharacteristic, complemented
24C2×C4×D12—22no—
25C2×C4×D12C411yescharacteristic, complemented
26C2×C3×#99C2211yescharacteristic
27C2×C3×#99C2211yescharacteristic
28C3×C4×C22⋊C4C2212yescomplemented
29C2×#834C2212yes—
30#5212C2212yescomplemented
31#4955C2214yescomplemented
32C2×#806C2214yescomplemented
33C2×#806C2214yescomplemented
34#4939—22no—
35D3×#99—28no—
36#4665—24no—
37C3×#342C2212yescomplemented
38#4526C2212yescomplemented
39C2×D42—31no—
40C22×#99—32no—
41D4×C22⋊C4—32no—
42#1964—32no—
43#1898—34no—
44#1799—31no—
45#1781—32no—
46C4×#99D311yescharacteristic, complemented
47C24×D3C2×C412yescomplemented
48C24×D3C2312yes—
49C22×C3×D4C2311yescharacteristic
50C23×C3×C4C2×C411yescharacteristic, complemented
51C23×C3×C4C2311yescharacteristic
52C22×#67C2×C412yescomplemented
53C22×#67C2312yes—
54C2×D3×D4—24no—
55C2×D3×D4—24no—
56C2×D3×D4—24no—
57C2×D3×D4—24no—
58C2×D3×D4—44no—
59C22×D12—21no—
60C22×D12—22no—
61C22×D12—21no—
62C22×D12—44no—
63C22×D12—44no—
64C22×D12C2×C411yescharacteristic
65C22×D12C2×C411yescharacteristic
66C22×D12C2×C412yes—
67C22×D12C2×C412yescomplemented
68C22×D12C2×C411yescharacteristic, complemented
69C22×D12C2×C412yescomplemented
70C22×D12C2×C412yescomplemented
71C22×D12D412yes—
72C22×D12D414yes—
73C22×D12D412yes—
74C22×C4×D3—24no—
75C22×C4×D3C2×C412yescomplemented
76C3×C4×D4—22no—
77C3×C4×D4—22no—
78C2×C3×C4⋊C4C2×C411yescharacteristic, complemented
79C2×C3×C22⋊C4C2×C411yescharacteristic, complemented
80C2×C3×C22⋊C4C2312yes—
81C2×C3×C22⋊C4C2311yescharacteristic
82C2×C3×C22⋊C4C2312yes—
83C2×C3×C42—22no—
84C2×C3×C42C2×C411yescharacteristic, complemented
85C2×#217C2314yes—
86#930—22no—
87#930—22no—
88#930—22no—
89#930—22no—
90C2×(C2×D3)⋊C4—24no—
91C2×(C2×D3)⋊C4—24no—
92C2×(C2×D3)⋊C4—24no—
93C2×(C2×D3)⋊C4C2×C412yescomplemented
94C2×(C2×D3)⋊C4C2×C412yescomplemented
95C2×(C2×D3)⋊C4C2×C412yescomplemented
96C2×C4⋊Dic3—22no—
97C2×C4⋊Dic3C2×C411yescharacteristic, complemented
98#895—24no—
99#895—24no—
100#882—24no—
101#882—24no—
102#882—24no—
103#882—24no—
104D3×C22⋊C4—28no—
105D3×C22⋊C4—44no—
106#874—22no—
107#874—22no—
108C4×D12—22no—
109C4×D12—21no—
110C4×D12—21no—
111C4×D12—48no—
112C3×#99—22no—
113C3×#99D414yescomplemented
114C3×#95—22no—
115#834—24no—
116C3⋊#95—22no—
117#806—28no—
118#806—44no—
119C23×D4—32no—
120C23×D4—31no—
121C23×D4—31no—
122D42—62no—
123D42—64no—
124D42—62no—
125C2×#127—31no—
126C2×#121—31no—
127C2×#121—31no—
128C2×#121—32no—
129C2×#120—32no—
130C2×#120—32no—
131C2×C4×D4—31no—
132C2×C4×D4—62no—
133C2×C4×D4C2×D311yescharacteristic
134C22×C22⋊C4—34no—
135C2×#99—32no—
136C2×#99—34no—
137C2×#99—34no—
138C2×#99—68no—
139C2×#99C2×D311yescharacteristic
140C2×#99C2×D311yescharacteristic
141#390—62no—
142#386—64no—
143#380—32no—
144#379—34no—
145C4×C22⋊C4C2×D312yescomplemented
146#342—32no—
147#342C2×D312yescomplemented
148C24×C3C22×C411yescharacteristic
149C24×C3C2411yescharacteristic
150C23×D3—22no—
151C23×D3—22no—
152C23×D3—24no—
153C23×D3—24no—
154C23×D3—22no—
155C23×D3—22no—
156C23×D3—44no—
157C23×D3—42no—
158C23×D3—44no—
159C23×D3—82no—
160C23×D3—82no—
161C23×D3C22×C412yes—
162C23×D3C22×C412yes—
163C23×D3C22×C412yes—
164C23×D3C2×D414yes—
165C23×D3C2×D414yes—
166C2×C3×D4—22no—
167C2×C3×D4—22no—
168C2×C3×D4C2×D412yes—
169C2×C3×D4#4112yes—
170C22×C3×C4—22no—
171C22×C3×C4—21no—
172C22×C3×C4—21no—
173C22×C3×C4—22no—
174C22×C3×C4—42no—
175C22×C3×C4—42no—
176C22×C3×C4C22×C411yescharacteristic
177C22×C3×C4C22×C411yescharacteristic
178C22×C3×C4C22×C411yescharacteristic
179C22×C3×C4C22×C411yescharacteristic
180C22×C3×C4C22×C411yescharacteristic
181C22×C3×C4C2×D412yes—
182C22×C3×C4C2×D412yes—
183C2×#67—24no—
184C2×#67—22no—
185C2×#67—24no—
186C2×#67—22no—
187C2×#67—24no—
188C2×#67—24no—
189C2×#67—42no—
190C22×Dic3—24no—
191C22×Dic3C22×C412yes—
192D3×D4—48no—
193D3×D4—48no—
194D3×D4—48no—
195D3×D4—48no—
196C2×D12—28no—
197C2×D12—24no—
198C2×D12—24no—
199C2×D12—22no—
200C2×D12—22no—
201C2×D12—21no—
202C2×D12—21no—
203C2×D12—24no—
204C2×D12—24no—
205C2×D12—42no—
206C2×D12—44no—
207C2×D12—44no—
208C2×D12—48no—
209C2×D12—48no—
210C2×D12—44no—
211C2×D12—42no—
212C2×D12—44no—
213C2×D12—42no—
214C2×D12—44no—
215C2×D12—82no—
216C2×D12C22⋊C412yes—
217C2×D12C22⋊C411yescharacteristic
218C2×D12C22⋊C412yes—
219C2×D12C22⋊C414yes—
220C2×D12C22⋊C412yes—
221C2×D12C22⋊C414yes—
222C2×D12C22⋊C411yescharacteristic
223C2×C4×D3—22no—
224C2×C4×D3—22no—
225C2×C4×D3—24no—
226C2×C4×D3—42no—
227C2×C4×D3—48no—
228C2×C4×D3—48no—
229C2×C4×D3—84no—
230C3×C4⋊C4—22no—
231C3×C22⋊C4—22no—
232C3×C22⋊C4—22no—
233C3×C22⋊C4—22no—
234C3×C22⋊C4—22no—
235C3×C22⋊C4—22no—
236C3×C22⋊C4C2×D414yescomplemented
237C3×C42—21no—
238C3×C42—21no—
239C3×C42—44no—
240#217—24no—
241#217—24no—
242(C2×D3)⋊C4—22no—
243(C2×D3)⋊C4—22no—
244(C2×D3)⋊C4—24no—
245(C2×D3)⋊C4—24no—
246(C2×D3)⋊C4—48no—
247(C2×D3)⋊C4—48no—
248(C2×D3)⋊C4—84no—
249C4⋊Dic3—21no—
250C4⋊Dic3—21no—
251C4⋊Dic3—44no—
252C25—32no—
253C25—32no—
254C22×D4—32no—
255C22×D4—32no—
256C22×D4—31no—
257C22×D4—32no—
258C22×D4—31no—
259C22×D4—32no—
260C22×D4—32no—
261C22×D4—31no—
262C22×D4—32no—
263C22×D4—32no—
264C22×D4—34no—
265C22×D4—32no—
266C22×D4—61no—
267C22×D4—62no—
268C22×D4—61no—
269C22×D4—64no—
270C22×D4—64no—
271C22×D4—64no—
272C22×D4—64no—
273C22×D4—124no—
274C22×D4—124no—
275C22×D4—124no—
276C22×D4C22×D311yescharacteristic
277C23×C4—32no—
278C23×C4—64no—
279C23×C4C4×D311yescharacteristic, complemented
280C23×C4C22×D311yescharacteristic
281#127—62no—
282#127—62no—
283#121—64no—
284#121—64no—
285#121—62no—
286#121—62no—
287#121—62no—
288#121—62no—
289#120—64no—
290#120—64no—
291#120—64no—
292#120—64no—
293C4×D4—22no—
294C4×D4—22no—
295C4×D4—61no—
296C4×D4—62no—
297C4×D4—61no—
298C4×D4—128no—
299C2×C4⋊C4—31no—
300C2×C4⋊C4—62no—
301C2×C4⋊C4C4×D311yescharacteristic, complemented
302C2×C22⋊C4—32no—
303C2×C22⋊C4—32no—
304C2×C22⋊C4—32no—
305C2×C22⋊C4—34no—
306C2×C22⋊C4—68no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—64no—
310C2×C22⋊C4—124no—
311C2×C22⋊C4C4×D311yescharacteristic, complemented
312C2×C22⋊C4C22×D312yes—
313C2×C22⋊C4C22×D311yescharacteristic
314C2×C22⋊C4C22×D312yes—
315C2×C42—22no—
316C2×C42C4×D311yescharacteristic, complemented
317#99—22no—
318#99—64no—
319#99—68no—
320#99—124no—
321#99D1214yesdirect product factor
322#95—22no—
323#95—62no—
324C23×C3—21no—
325C23×C3—21no—
326C23×C3—41no—
327C23×C3—41no—
328C23×C3—41no—
329C23×C3—41no—
330C23×C3C4×D412yescomplemented
331C23×C3C23×C411yescharacteristic
332C23×C3C22×D411yescharacteristic
333C23×C3C22×D412yes—
334C23×C3C2×#4111yescharacteristic
335C23×C3H(5,𝔽2)12yes—
336C22×D3—22no—
337C22×D3—22no—
338C22×D3—24no—
339C22×D3—24no—
340C22×D3—22no—
341C22×D3—22no—
342C22×D3—24no—
343C22×D3—24no—
344C22×D3—28no—
345C22×D3—24no—
346C22×D3—22no—
347C22×D3—22no—
348C22×D3—22no—
349C22×D3—44no—
350C22×D3—42no—
351C22×D3—44no—
352C22×D3—42no—
353C22×D3—44no—
354C22×D3—42no—
355C22×D3—44no—
356C22×D3—44no—
357C22×D3—44no—
358C22×D3—44no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—82no—
362C22×D3—82no—
363C22×D3—84no—
364C22×D3—88no—
365C22×D3—84no—
366C22×D3—88no—
367C22×D3—88no—
368C22×D3C2×C22⋊C412yes—
369C22×D3C2×C22⋊C414yes—
370C22×D3C2×C22⋊C412yes—
371C3×D4—24no—
372C3×D4—24no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—24no—
376C2×C3×C4—22no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—24no—
380C2×C3×C4—41no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4C2×C22⋊C411yescharacteristic
392C2×C3×C4C2×C22⋊C412yes—
393C2×C3×C4C2×C22⋊C411yescharacteristic
394C2×C3×C4C4×D412yescomplemented
395#67—48no—
396#67—44no—
397#67—44no—
398C2×Dic3—22no—
399C2×Dic3—22no—
400C2×Dic3—22no—
401C2×Dic3—44no—
402C2×Dic3—44no—
403C2×Dic3—44no—
404D12—24no—
405D12—28no—
406D12—22no—
407D12—24no—
408D12—42no—
409D12—44no—
410D12—48no—
411D12—42no—
412D12—44no—
413D12—44no—
414D12—42no—
415D12—84no—
416D12#9914yesdirect product factor
417C4×D3—44no—
418C4×D3—44no—
419C4×D3—816no—
420C24—32no—
421C24—34no—
422C24—32no—
423C24—34no—
424C24—32no—
425C24—62no—
426C24—62no—
427C24—62no—
428C24—62no—
429C24—64no—
430C24—64no—
431C24—122no—
432C24—124no—
433C24—124no—
434C24—242no—
435C24—242no—
436C24C2×C4×D311yescharacteristic
437C24C23×D311yescharacteristic
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—31no—
441C2×D4—32no—
442C2×D4—31no—
443C2×D4—34no—
444C2×D4—32no—
445C2×D4—34no—
446C2×D4—32no—
447C2×D4—68no—
448C2×D4—64no—
449C2×D4—62no—
450C2×D4—62no—
451C2×D4—64no—
452C2×D4—64no—
453C2×D4—64no—
454C2×D4—64no—
455C2×D4—62no—
456C2×D4—62no—
457C2×D4—64no—
458C2×D4—64no—
459C2×D4—64no—
460C2×D4—61no—
461C2×D4—61no—
462C2×D4—124no—
463C2×D4—122no—
464C2×D4—122no—
465C2×D4—122no—
466C2×D4—124no—
467C2×D4—124no—
468C2×D4—128no—
469C2×D4—128no—
470C2×D4—124no—
471C2×D4—124no—
472C2×D4—122no—
473C2×D4—128no—
474C2×D4—128no—
475C2×D4—128no—
476C2×D4—128no—
477C2×D4—242no—
478C2×D4C2×D1212yes—
479C2×D4#23512yes—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—32no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—64no—
490C22×C4—64no—
491C22×C4—122no—
492C22×C4—128no—
493C22×C4—128no—
494C22×C4—244no—
495C22×C4C2×C4×D311yescharacteristic
496C22×C4C2×C4×D311yescharacteristic
497C22×C4C2×C4×D311yescharacteristic
498C22×C4C2×C4×D311yescharacteristic
499C22×C4C2×C4×D311yescharacteristic
500C22×C4D3×D412yes—
501C22×C4D3×D412yes—
502C4⋊C4—22no—
503C4⋊C4—61no—
504C4⋊C4—61no—
505C4⋊C4—124no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—22no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—62no—
512C22⋊C4—62no—
513C22⋊C4—64no—
514C22⋊C4—64no—
515C22⋊C4—64no—
516C22⋊C4—64no—
517C22⋊C4—128no—
518C22⋊C4—128no—
519C22⋊C4—244no—
520C22⋊C4C2×D1214yescomplemented
521C42—21no—
522C42—21no—
523C42—44no—
524C22×C3—22no—
525C22×C3—21no—
526C22×C3—22no—
527C22×C3—21no—
528C22×C3—22no—
529C22×C3—41no—
530C22×C3—41no—
531C22×C3—42no—
532C22×C3—42no—
533C22×C3—42no—
534C22×C3—41no—
535C22×C3—41no—
536C22×C3C22×C22⋊C411yescharacteristic
537C22×C3C2×C4×D411yescharacteristic
538C22×C3#51811yescharacteristic
539C22×C3D4212yes—
540C22×C3#54612yes—
541C2×D3—22no—
542C2×D3—22no—
543C2×D3—22no—
544C2×D3—24no—
545C2×D3—22no—
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—22no—
549C2×D3—48no—
550C2×D3—48no—
551C2×D3—44no—
552C2×D3—44no—
553C2×D3—42no—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—88no—
557C2×D3—82no—
558C2×D3—82no—
559C2×D3—84no—
560C2×D3—84no—
561C2×D3—88no—
562C2×D3—82no—
563C2×D3—82no—
564C2×D3C2×#9914yescomplemented
565C3×C4—22no—
566C3×C4—21no—
567C3×C4—22no—
568C3×C4—44no—
569C3×C4—41no—
570C3×C4—41no—
571C3×C4—82no—
572C3×C4C2×#9912yescomplemented
573Dic3—42no—
574Dic3—84no—
575C23—21no—
576C23—21no—
577C23—32no—
578C23—32no—
579C23—34no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—68no—
585C23—64no—
586C23—62no—
587C23—62no—
588C23—64no—
589C23—64no—
590C23—62no—
591C23—62no—
592C23—64no—
593C23—64no—
594C23—62no—
595C23—62no—
596C23—62no—
597C23—124no—
598C23—122no—
599C23—124no—
600C23—124no—
601C23—122no—
602C23—122no—
603C23—124no—
604C23—124no—
605C23—122no—
606C23—122no—
607C23—124no—
608C23—124no—
609C23—242no—
610C23—242no—
611C23—244no—
612C23—244no—
613C23—248no—
614C23—248no—
615C23—248no—
616C23C4×D1212yescomplemented
617C23C22×C4×D311yescharacteristic
618C23C22×D1211yescharacteristic
619C23C2×#23511yescharacteristic
620C23C2×D3×D412yes—
621C23#100912yes—
622D4—24no—
623D4—24no—
624D4—34no—
625D4—64no—
626D4—68no—
627D4—62no—
628D4—64no—
629D4—122no—
630D4—124no—
631D4—128no—
632D4—122no—
633D4—124no—
634D4—124no—
635D4—128no—
636D4—124no—
637D4—124no—
638D4—122no—
639D4—244no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—62no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—124no—
662C2×C4—124no—
663C2×C4—124no—
664C2×C4—124no—
665C2×C4—124no—
666C2×C4—2416no—
667C2×C4C4×D1212yescomplemented
668C2×C4D3×C22⋊C411yescharacteristic
669C2×C4D3×C22⋊C412yes—
670C2×C4D3×C22⋊C411yescharacteristic
671C2×C3—22no—
672C2×C3—22no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—42no—
676C2×C3D4×C22⋊C411yescharacteristic
677C2×C3C22×#9911yescharacteristic
678C2×C3#288311yescharacteristic
679D3—24no—
680D3—44no—
681D3—42no—
682D3—82no—
683C22—22no—
684C22—21no—
685C22—22no—
686C22—21no—
687C22—22no—
688C22—34no—
689C22—41no—
690C22—41no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—41no—
696C22—62no—
697C22—62no—
698C22—62no—
699C22—64no—
700C22—62no—
701C22—64no—
702C22—64no—
703C22—62no—
704C22—128no—
705C22—124no—
706C22—124no—
707C22—128no—
708C22—122no—
709C22—122no—
710C22—122no—
711C22—244no—
712C22—244no—
713C22—242no—
714C22—242no—
715C22—242no—
716C22—242no—
717C22—248no—
718C22—248no—
719C22C2×C4×D1211yescharacteristic
720C22C2×D3×C22⋊C411yescharacteristic
721C22#552111yescharacteristic
722C22D4×D1212yes—
723C22#555012yes—
724C4—21no—
725C4—22no—
726C4—22no—
727C4—44no—
728C4—41no—
729C4—41no—
730C4—82no—
731C4—122no—
732C4—244no—
733C4D3×#9912yescomplemented
734C3D4×#9911yescharacteristic, complemented, Sylow
735C2—22no—
736C2—22no—
737C2—21no—
738C2—21no—
739C2—42no—
740C2—64no—
741C2—122no—
742C2—124no—
743C2—242no—
744C2C22⋊C4×D1211yescharacteristic
745C2C2×D3×#9911yescharacteristic
746C2#7869411yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊C4
commutatorC23×C3C23×C4
FrattiniC24C23×D3
FittingC3×C4×#99C2
socleC22×C3C22×C22⋊C4
prime radicalC2×D4×D12C2
cosocleC24×C3C24
hypercenterC4×#99D3
hypocenterC3D4×#99
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C4×#99

Complements

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

NH ≅ G/Ntype
2. C2×D3×#99C2semidirect
3. C22⋊C4×D12C2semidirect
4. C3×C4×#99C2semidirect
5. #71619C2semidirect
6. #70035C2semidirect
7. #69456C2semidirect
8. #68970C2semidirect
11. C23×D12C4semidirect
14. C2×#930C4semidirect
19. C2×#895C4semidirect
20. C2×#882C4semidirect
22. C2×D3×C22⋊C4C22semidirect
23. C2×#874C4semidirect
25. C2×C4×D12C4semidirect
28. C3×C4×C22⋊C4C22semidirect
30. #5212C22semidirect
31. #4955C22semidirect
32. C2×#806C22semidirect
33. C2×#806C22semidirect
37. C3×#342C22semidirect
38. #4526C22semidirect
46. C4×#99D3semidirect
47. C24×D3C2×C4semidirect
50. C23×C3×C4C2×C4semidirect
52. C22×#67C2×C4semidirect
67. C22×D12C2×C4semidirect
68. C22×D12C2×C4semidirect
69. C22×D12C2×C4semidirect
70. C22×D12C2×C4semidirect
75. C22×C4×D3C2×C4semidirect
78. C2×C3×C4⋊C4C2×C4semidirect
79. C2×C3×C22⋊C4C2×C4semidirect
84. C2×C3×C42C2×C4semidirect
93. C2×(C2×D3)⋊C4C2×C4semidirect
94. C2×(C2×D3)⋊C4C2×C4semidirect
95. C2×(C2×D3)⋊C4C2×C4semidirect
97. C2×C4⋊Dic3C2×C4semidirect
113. C3×#99D4semidirect
145. C4×C22⋊C4C2×D3semidirect
147. #342C2×D3semidirect
236. C3×C22⋊C4C2×D4semidirect
279. C23×C4C4×D3semidirect
301. C2×C4⋊C4C4×D3semidirect
311. C2×C22⋊C4C4×D3semidirect
316. C2×C42C4×D3semidirect
321. #99D12direct (N × H)
330. C23×C3C4×D4semidirect
394. C2×C3×C4C4×D4semidirect
416. D12#99direct (N × H)
520. C22⋊C4C2×D12semidirect
564. C2×D3C2×#99semidirect
572. C3×C4C2×#99semidirect
616. C23C4×D12semidirect
667. C2×C4C4×D12semidirect
733. C4D3×#99semidirect
734. C3D4×#99semidirect

Maximal subgroups

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

subgroupindex
C2×D4×D122
C2×D3×#992
C22⋊C4×D122
C3×C4×#992
#716192
#700352
#694562
#689702
D4×#993