Finite Group Databasebeta

← D4×#834 #10810511

Subgroups — D4×#834 #10810511

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×C3×D42C211yesmaximal, characteristic
2D4×#217C212yesmaximal, complemented
3C22×#834C212yesmaximal, complemented
4#72130C212yesmaximal, complemented
5#71686C212yesmaximal, complemented
6#71670C214yesmaximal, complemented
7#71619C211yesmaximal, characteristic, complemented
8C4×#834C211yesmaximal, characteristic, complemented
9D4×#99—31nomaximal, Sylow
10C23×C3×D4C411yescharacteristic, complemented
11C23×C3×D4C2212yes—
12C23×C3×D4C2211yescharacteristic
13C3×D42—22no—
14C3×D42—24no—
15C3×D42—22no—
16C2×C3×#127C411yescharacteristic, complemented
17C2×C3×#121C412yescomplemented
18C2×C3×#121C411yescharacteristic, complemented
19C2×C3×#121C2211yescharacteristic
20C2×C3×#120C412yescomplemented
21C2×C3×#120C2212yes—
22C2×C3×C4×D4C411yescharacteristic, complemented
23C2×C3×C4×D4C2211yescharacteristic
24C22×#217C2214yescomplemented
25C2×D4×Dic3—22no—
26#5247C2214yescomplemented
27#5221—22no—
28#5220—24no—
29C2×#834—28no—
30C2×#834C2212yes—
31C2×#834C2211yescharacteristic
32C2×#834C2211yescharacteristic
33C2×#834C2214yescomplemented
34C2×#834C2214yescomplemented
35#5212C2212yescomplemented
36C4×#217C2212yescomplemented
37#4526C2212yescomplemented
38#4526C2212yescomplemented
39C2×D42D311yescharacteristic
40C22×#99—32no—
41D4×C22⋊C4—32no—
42#1964—32no—
43#1898—34no—
44#1799—31no—
45#1781—32no—
46C4×#99—31no—
47C25×C3C2×C412yescomplemented
48C25×C3C2312yes—
49C22×C3×D4—24no—
50C22×C3×D4—24no—
51C22×C3×D4—22no—
52C22×C3×D4—21no—
53C22×C3×D4—21no—
54C22×C3×D4—24no—
55C22×C3×D4—24no—
56C22×C3×D4—44no—
57C22×C3×D4—44no—
58C22×C3×D4—44no—
59C22×C3×D4C2×C411yescharacteristic
60C22×C3×D4C2×C412yes—
61C22×C3×D4C2×C411yescharacteristic
62C22×C3×D4C2×C412yescomplemented
63C22×C3×D4C2×C412yescomplemented
64C22×C3×D4C2×C412yescomplemented
65C22×C3×D4C2×C411yescharacteristic, complemented
66C22×C3×D4C2×C412yescomplemented
67C22×C3×D4D412yes—
68C22×C3×D4D414yes—
69C22×C3×D4D412yes—
70C22×C3×D4C2312yes—
71C22×C3×D4C2311yescharacteristic
72C23×C3×C4C2×C412yescomplemented
73C23×C3×C4C2×C411yescharacteristic, complemented
74C23×C3×C4C2311yescharacteristic
75C23×Dic3—24no—
76C3×#127—22no—
77C3×#127—22no—
78C3×#121—22no—
79C3×#121—22no—
80C3×#121—24no—
81C3×#121—24no—
82C3×#121—22no—
83C3×#121—22no—
84C3×#120—24no—
85C3×#120—24no—
86C3×#120—24no—
87C3×#120—24no—
88C3×C4×D4—22no—
89C3×C4×D4—21no—
90C3×C4×D4—21no—
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C2×C3×C4⋊C4C2×C411yescharacteristic, complemented
94C2×C3×C4⋊C4C2×C411yescharacteristic, complemented
95C2×C3×C22⋊C4C2×C412yescomplemented
96C2×C3×C22⋊C4C2×C411yescharacteristic, complemented
97C2×C3×C22⋊C4C2×C412yescomplemented
98C2×C3×C22⋊C4C2×C412yescomplemented
99C2×C3×C22⋊C4C2311yescharacteristic
100C2×C3×C42C2×C411yescharacteristic, complemented
101C2×#217—28no—
102C2×#217—24no—
103C2×#217—24no—
104C2×#217—24no—
105C2×#217—44no—
106C2×#217C2312yes—
107C2×#217C2314yes—
108C2×#217C2312yes—
109D4×Dic3—48no—
110C2×C4⋊Dic3—22no—
111C2×C4×Dic3—22no—
112#834—24no—
113#834—22no—
114#834—28no—
115#834—44no—
116#834D414yesdirect product factor
117C3⋊#95—22no—
118C3⋊#95—22no—
119C23×D4Dic311yescharacteristic, complemented
120C23×D4C2×D312yes—
121C23×D4C2×D311yescharacteristic
122D42—22no—
123D42—24no—
124D42—22no—
125C2×#127Dic311yescharacteristic, complemented
126C2×#121Dic312yescomplemented
127C2×#121Dic311yescharacteristic, complemented
128C2×#121C2×D311yescharacteristic
129C2×#120Dic312yescomplemented
130C2×#120C2×D312yes—
131C2×C4×D4—62no—
132C2×C4×D4Dic311yescharacteristic, complemented
133C2×C4×D4C2×D311yescharacteristic
134C22×C22⋊C4—34no—
135C2×#99—31no—
136C2×#99—32no—
137C2×#99—34no—
138C2×#99—31no—
139C2×#99—34no—
140C2×#99—68no—
141#390—62no—
142#386—64no—
143#380—32no—
144#379—34no—
145C4×C22⋊C4—32no—
146#342—32no—
147#342—32no—
148C24×C3—22no—
149C24×C3—22no—
150C24×C3—24no—
151C24×C3—22no—
152C24×C3—22no—
153C24×C3—24no—
154C24×C3—42no—
155C24×C3—44no—
156C24×C3—44no—
157C24×C3—82no—
158C24×C3—82no—
159C24×C3C22×C412yes—
160C24×C3C22×C412yes—
161C24×C3C22×C412yes—
162C24×C3C22×C411yescharacteristic
163C24×C3C2×D414yes—
164C24×C3C2×D414yes—
165C24×C3C2411yescharacteristic
166C2×C3×D4—22no—
167C2×C3×D4—22no—
168C2×C3×D4—28no—
169C2×C3×D4—24no—
170C2×C3×D4—24no—
171C2×C3×D4—22no—
172C2×C3×D4—22no—
173C2×C3×D4—24no—
174C2×C3×D4—24no—
175C2×C3×D4—22no—
176C2×C3×D4—24no—
177C2×C3×D4—22no—
178C2×C3×D4—24no—
179C2×C3×D4—24no—
180C2×C3×D4—21no—
181C2×C3×D4—21no—
182C2×C3×D4—24no—
183C2×C3×D4—42no—
184C2×C3×D4—44no—
185C2×C3×D4—42no—
186C2×C3×D4—42no—
187C2×C3×D4—42no—
188C2×C3×D4—44no—
189C2×C3×D4—48no—
190C2×C3×D4—48no—
191C2×C3×D4—48no—
192C2×C3×D4—48no—
193C2×C3×D4—48no—
194C2×C3×D4—48no—
195C2×C3×D4—44no—
196C2×C3×D4—44no—
197C2×C3×D4—44no—
198C2×C3×D4—82no—
199C2×C3×D4C22⋊C412yes—
200C2×C3×D4C22⋊C411yescharacteristic
201C2×C3×D4C22⋊C414yes—
202C2×C3×D4C22⋊C412yes—
203C2×C3×D4C22⋊C414yes—
204C2×C3×D4C22⋊C412yes—
205C2×C3×D4C22⋊C411yescharacteristic
206C2×C3×D4C2×D412yes—
207C2×C3×D4#4112yes—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—24no—
213C22×C3×C4—42no—
214C22×C3×C4—42no—
215C22×C3×C4—42no—
216C22×C3×C4C22×C412yes—
217C22×C3×C4C22×C411yescharacteristic
218C22×C3×C4C22×C411yescharacteristic
219C22×C3×C4C22×C411yescharacteristic
220C22×C3×C4C22×C411yescharacteristic
221C22×C3×C4C22×C411yescharacteristic
222C22×C3×C4C2×D412yes—
223C22×C3×C4C2×D412yes—
224C22×Dic3—22no—
225C22×Dic3—22no—
226C22×Dic3—24no—
227C22×Dic3—48no—
228C22×Dic3—48no—
229C22×Dic3—84no—
230C3×C4⋊C4—22no—
231C3×C4⋊C4—21no—
232C3×C4⋊C4—21no—
233C3×C22⋊C4—22no—
234C3×C22⋊C4—22no—
235C3×C22⋊C4—24no—
236C3×C22⋊C4—22no—
237C3×C22⋊C4—22no—
238C3×C22⋊C4—24no—
239C3×C42—21no—
240C3×C42—21no—
241#217—22no—
242#217—24no—
243#217—22no—
244#217—22no—
245#217—24no—
246#217—48no—
247#217—48no—
248#217—84no—
249#217C2×D414yescomplemented
250C4⋊Dic3—44no—
251C4×Dic3—44no—
252C25C2×Dic312yescomplemented
253C25C22×D312yes—
254C22×D4—24no—
255C22×D4—24no—
256C22×D4—22no—
257C22×D4—21no—
258C22×D4—21no—
259C22×D4—24no—
260C22×D4—24no—
261C22×D4—44no—
262C22×D4—44no—
263C22×D4—44no—
264C22×D4C2×Dic311yescharacteristic
265C22×D4C2×Dic312yes—
266C22×D4C2×Dic311yescharacteristic
267C22×D4C2×Dic312yescomplemented
268C22×D4C2×Dic312yescomplemented
269C22×D4C2×Dic312yescomplemented
270C22×D4C2×Dic311yescharacteristic, complemented
271C22×D4C2×Dic312yescomplemented
272C22×D4#6712yes—
273C22×D4#6714yes—
274C22×D4#6712yes—
275C22×D4C22×D312yes—
276C22×D4C22×D311yescharacteristic
277C23×C4—64no—
278C23×C4C2×Dic312yescomplemented
279C23×C4C2×Dic311yescharacteristic, complemented
280C23×C4C22×D311yescharacteristic
281#127—22no—
282#127—22no—
283#121—22no—
284#121—22no—
285#121—24no—
286#121—24no—
287#121—22no—
288#121—22no—
289#120—24no—
290#120—24no—
291#120—24no—
292#120—24no—
293C4×D4—22no—
294C4×D4—21no—
295C4×D4—21no—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—128no—
299C2×C4⋊C4—62no—
300C2×C4⋊C4C2×Dic311yescharacteristic, complemented
301C2×C4⋊C4C2×Dic311yescharacteristic, complemented
302C2×C22⋊C4—32no—
303C2×C22⋊C4—34no—
304C2×C22⋊C4—32no—
305C2×C22⋊C4—68no—
306C2×C22⋊C4—64no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—124no—
310C2×C22⋊C4C2×Dic312yescomplemented
311C2×C22⋊C4C2×Dic311yescharacteristic, complemented
312C2×C22⋊C4C2×Dic312yescomplemented
313C2×C22⋊C4C2×Dic312yescomplemented
314C2×C22⋊C4C22×D311yescharacteristic
315C2×C42—62no—
316C2×C42C2×Dic311yescharacteristic, complemented
317#99—34no—
318#99—68no—
319#99—64no—
320#99—62no—
321#99—124no—
322#95—62no—
323#95—62no—
324C23×C3—21no—
325C23×C3—22no—
326C23×C3—22no—
327C23×C3—21no—
328C23×C3—24no—
329C23×C3—24no—
330C23×C3—28no—
331C23×C3—24no—
332C23×C3—22no—
333C23×C3—22no—
334C23×C3—24no—
335C23×C3—24no—
336C23×C3—22no—
337C23×C3—22no—
338C23×C3—22no—
339C23×C3—44no—
340C23×C3—41no—
341C23×C3—42no—
342C23×C3—41no—
343C23×C3—44no—
344C23×C3—42no—
345C23×C3—44no—
346C23×C3—42no—
347C23×C3—44no—
348C23×C3—44no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3—44no—
352C23×C3—42no—
353C23×C3—42no—
354C23×C3—44no—
355C23×C3—82no—
356C23×C3—82no—
357C23×C3—84no—
358C23×C3—84no—
359C23×C3—88no—
360C23×C3—88no—
361C23×C3—88no—
362C23×C3C2×C22⋊C412yes—
363C23×C3C2×C22⋊C414yes—
364C23×C3C2×C22⋊C412yes—
365C23×C3C4×D412yescomplemented
366C23×C3C23×C411yescharacteristic
367C23×C3C22×D411yescharacteristic
368C23×C3C22×D412yes—
369C23×C3C2×#4111yescharacteristic
370C23×C3H(5,𝔽2)12yes—
371C3×D4—24no—
372C3×D4—24no—
373C3×D4—24no—
374C3×D4—28no—
375C3×D4—22no—
376C3×D4—24no—
377C3×D4—42no—
378C3×D4—44no—
379C3×D4—48no—
380C3×D4—42no—
381C3×D4—48no—
382C3×D4—44no—
383C3×D4—44no—
384C3×D4—44no—
385C3×D4—44no—
386C3×D4—42no—
387C3×D4—84no—
388C3×D4#9914yescomplemented
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—24no—
392C2×C3×C4—22no—
393C2×C3×C4—21no—
394C2×C3×C4—22no—
395C2×C3×C4—21no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—41no—
399C2×C3×C4—42no—
400C2×C3×C4—44no—
401C2×C3×C4—44no—
402C2×C3×C4—42no—
403C2×C3×C4—42no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4C2×C22⋊C411yescharacteristic
407C2×C3×C4C2×C22⋊C412yes—
408C2×C3×C4C2×C22⋊C411yescharacteristic
409C2×C3×C4C4×D412yescomplemented
410C2×Dic3—24no—
411C2×Dic3—42no—
412C2×Dic3—42no—
413C2×Dic3—42no—
414C2×Dic3—44no—
415C2×Dic3—42no—
416C2×Dic3—44no—
417C2×Dic3—44no—
418C2×Dic3—42no—
419C2×Dic3—816no—
420C24—22no—
421C24—22no—
422C24—24no—
423C24—22no—
424C24—22no—
425C24—24no—
426C24—42no—
427C24—44no—
428C24—44no—
429C24—82no—
430C24—82no—
431C24C22×Dic312yes—
432C24C22×Dic312yes—
433C24C22×Dic311yescharacteristic
434C24C22×Dic312yes—
435C24C2×#6714yes—
436C24C2×#6714yes—
437C24C23×D311yescharacteristic
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—28no—
441C2×D4—24no—
442C2×D4—24no—
443C2×D4—24no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—24no—
452C2×D4—24no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—42no—
456C2×D4—44no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—44no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—48no—
465C2×D4—48no—
466C2×D4—48no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—82no—
471C2×D4#21712yes—
472C2×D4#21711yescharacteristic
473C2×D4#21714yes—
474C2×D4#21712yes—
475C2×D4#21714yes—
476C2×D4#21712yes—
477C2×D4#21711yescharacteristic
478C2×D4D3×D412yes—
479C2×D4#23712yes—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—64no—
491C22×C4—128no—
492C22×C4—128no—
493C22×C4—244no—
494C22×C4C22×Dic312yes—
495C22×C4C22×Dic311yescharacteristic
496C22×C4C22×Dic311yescharacteristic
497C22×C4C22×Dic311yescharacteristic
498C22×C4C22×Dic311yescharacteristic
499C22×C4C22×Dic311yescharacteristic
500C22×C4C2×#6712yes—
501C22×C4C2×#6712yes—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—124no—
506C22⋊C4—22no—
507C22⋊C4—22no—
508C22⋊C4—24no—
509C22⋊C4—22no—
510C22⋊C4—22no—
511C22⋊C4—24no—
512C22⋊C4—34no—
513C22⋊C4—62no—
514C22⋊C4—64no—
515C22⋊C4—62no—
516C22⋊C4—62no—
517C22⋊C4—64no—
518C22⋊C4—128no—
519C22⋊C4—128no—
520C22⋊C4—244no—
521C42—21no—
522C42—21no—
523C42—124no—
524C22×C3—22no—
525C22×C3—22no—
526C22×C3—21no—
527C22×C3—22no—
528C22×C3—21no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—24no—
533C22×C3—22no—
534C22×C3—24no—
535C22×C3—24no—
536C22×C3—22no—
537C22×C3—41no—
538C22×C3—41no—
539C22×C3—42no—
540C22×C3—48no—
541C22×C3—48no—
542C22×C3—44no—
543C22×C3—44no—
544C22×C3—42no—
545C22×C3—42no—
546C22×C3—41no—
547C22×C3—41no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—84no—
552C22×C3—84no—
553C22×C3—82no—
554C22×C3—82no—
555C22×C3—88no—
556C22×C3—82no—
557C22×C3—82no—
558C22×C3—88no—
559C22×C3C2×#9914yescomplemented
560C22×C3C22×C22⋊C411yescharacteristic
561C22×C3C2×C4×D411yescharacteristic
562C22×C3#51811yescharacteristic
563C22×C3D4212yes—
564C22×C3#54612yes—
565C3×C4—22no—
566C3×C4—21no—
567C3×C4—22no—
568C3×C4—42no—
569C3×C4—41no—
570C3×C4—41no—
571C3×C4C2×#9912yescomplemented
572Dic3—44no—
573Dic3—82no—
574Dic3—84no—
575C23—28no—
576C23—24no—
577C23—22no—
578C23—22no—
579C23—21no—
580C23—24no—
581C23—24no—
582C23—21no—
583C23—22no—
584C23—22no—
585C23—24no—
586C23—24no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—41no—
591C23—44no—
592C23—42no—
593C23—41no—
594C23—44no—
595C23—42no—
596C23—44no—
597C23—42no—
598C23—44no—
599C23—44no—
600C23—41no—
601C23—41no—
602C23—44no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—82no—
607C23—82no—
608C23—84no—
609C23—84no—
610C23—88no—
611C23—88no—
612C23—88no—
613C23D4×Dic312yescomplemented
614C23C2×#21712yes—
615C23C2×#21714yes—
616C23C2×#21712yes—
617C23C2×D3×D411yescharacteristic
618C23C2×#23711yescharacteristic
619C23#100412yes—
620C23C23×Dic311yescharacteristic
621C23C22×#6712yes—
622D4—24no—
623D4—28no—
624D4—24no—
625D4—24no—
626D4—22no—
627D4—24no—
628D4—42no—
629D4—44no—
630D4—48no—
631D4—42no—
632D4—48no—
633D4—44no—
634D4—44no—
635D4—44no—
636D4—44no—
637D4—42no—
638D4—84no—
639D4#83414yesdirect product factor
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—64no—
658C2×C4—122no—
659C2×C4—122no—
660C2×C4—122no—
661C2×C4—124no—
662C2×C4—122no—
663C2×C4—124no—
664C2×C4—124no—
665C2×C4—122no—
666C2×C4—2416no—
667C2×C4D4×Dic312yescomplemented
668C2×C4C2×#21711yescharacteristic
669C2×C4C2×#21712yes—
670C2×C4C2×#21711yescharacteristic
671C2×C3—22no—
672C2×C3—22no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—24no—
676C2×C3—44no—
677C2×C3—42no—
678C2×C3—42no—
679C2×C3—82no—
680C2×C3D4×C22⋊C411yescharacteristic
681C2×C3C22×#9911yescharacteristic
682C2×C3#288311yescharacteristic
683C22—21no—
684C22—22no—
685C22—22no—
686C22—21no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—24no—
691C22—22no—
692C22—22no—
693C22—24no—
694C22—24no—
695C22—22no—
696C22—41no—
697C22—41no—
698C22—42no—
699C22—48no—
700C22—44no—
701C22—44no—
702C22—48no—
703C22—42no—
704C22—42no—
705C22—41no—
706C22—41no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—84no—
711C22—84no—
712C22—82no—
713C22—82no—
714C22—88no—
715C22—82no—
716C22—82no—
717C22—88no—
718C22C2×#83414yescomplemented
719C22C2×D4×Dic311yescharacteristic
720C22#579811yescharacteristic
721C22D4×#6712yes—
722C22#580612yes—
723C22C22×#21711yescharacteristic
724C4—21no—
725C4—22no—
726C4—22no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—124no—
731C4—244no—
732C4—242no—
733C4C2×#83412yescomplemented
734C3D4×#9911yescharacteristic, complemented, Sylow
735C2—22no—
736C2—22no—
737C2—21no—
738C2—21no—
739C2—24no—
740C2—42no—
741C2—44no—
742C2—42no—
743C2—82no—
744C2C22×#83411yescharacteristic
745C2D4×#21711yescharacteristic
746C2#8410711yescharacteristic
subgroupG/H
centerC22C22×#217
commutatorC23×C3C23×C4
FrattiniC24C23×D3
Fitting, prime radicalC2×C3×D42C2
socleC22×C3C22×C22⋊C4
cosocleC24×C3C24
hypercenterC2×D42D3
hypocenterC3D4×#99
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×D4 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
2. D4×#217C2semidirect
3. C22×#834C2semidirect
4. #72130C2semidirect
5. #71686C2semidirect
6. #71670C2semidirect
7. #71619C2semidirect
8. C4×#834C2semidirect
10. C23×C3×D4C4semidirect
16. C2×C3×#127C4semidirect
17. C2×C3×#121C4semidirect
18. C2×C3×#121C4semidirect
20. C2×C3×#120C4semidirect
22. C2×C3×C4×D4C4semidirect
24. C22×#217C22semidirect
26. #5247C22semidirect
33. C2×#834C22semidirect
34. C2×#834C22semidirect
35. #5212C22semidirect
36. C4×#217C22semidirect
37. #4526C22semidirect
38. #4526C22semidirect
47. C25×C3C2×C4semidirect
62. C22×C3×D4C2×C4semidirect
63. C22×C3×D4C2×C4semidirect
64. C22×C3×D4C2×C4semidirect
65. C22×C3×D4C2×C4semidirect
66. C22×C3×D4C2×C4semidirect
72. C23×C3×C4C2×C4semidirect
73. C23×C3×C4C2×C4semidirect
93. C2×C3×C4⋊C4C2×C4semidirect
94. C2×C3×C4⋊C4C2×C4semidirect
95. C2×C3×C22⋊C4C2×C4semidirect
96. C2×C3×C22⋊C4C2×C4semidirect
97. C2×C3×C22⋊C4C2×C4semidirect
98. C2×C3×C22⋊C4C2×C4semidirect
100. C2×C3×C42C2×C4semidirect
116. #834D4direct (N × H)
119. C23×D4Dic3semidirect
125. C2×#127Dic3semidirect
126. C2×#121Dic3semidirect
127. C2×#121Dic3semidirect
129. C2×#120Dic3semidirect
132. C2×C4×D4Dic3semidirect
249. #217C2×D4semidirect
252. C25C2×Dic3semidirect
267. C22×D4C2×Dic3semidirect
268. C22×D4C2×Dic3semidirect
269. C22×D4C2×Dic3semidirect
270. C22×D4C2×Dic3semidirect
271. C22×D4C2×Dic3semidirect
278. C23×C4C2×Dic3semidirect
279. C23×C4C2×Dic3semidirect
300. C2×C4⋊C4C2×Dic3semidirect
301. C2×C4⋊C4C2×Dic3semidirect
310. C2×C22⋊C4C2×Dic3semidirect
311. C2×C22⋊C4C2×Dic3semidirect
312. C2×C22⋊C4C2×Dic3semidirect
313. C2×C22⋊C4C2×Dic3semidirect
316. C2×C42C2×Dic3semidirect
365. C23×C3C4×D4semidirect
388. C3×D4#99semidirect
409. C2×C3×C4C4×D4semidirect
559. C22×C3C2×#99semidirect
571. C3×C4C2×#99semidirect
613. C23D4×Dic3semidirect
639. D4#834direct (N × H)
667. C2×C4D4×Dic3semidirect
718. C22C2×#834semidirect
733. C4C2×#834semidirect
734. C3D4×#99semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D422
D4×#2172
C22×#8342
#721302
#716862
#716702
#716192
C4×#8342
D4×#993