Finite Group Databasebeta

← #10718657

Subgroups — #10718657

Order 768.

3422 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4×D4C211yesmaximal, characteristic, complemented
2C22×#940C211yesmaximal, characteristic
3C2×#5221C211yesmaximal, characteristic, complemented
4C2×#5213C214yesmaximal, complemented
5C2×#4988C211yesmaximal, characteristic, complemented
6C2×#4939C211yesmaximal, characteristic, complemented
7#71563C211yesmaximal, characteristic, complemented
8#71550C214yesmaximal, complemented
9C4×C3⋊#95C211yesmaximal, characteristic, complemented
10#14025—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C24×C3×C4C2212yes—
13C23×#67C2214yes—
14C23×D12C2211yescharacteristic
15C2×C3×C4×D4—24no—
16C2×C3×C4×D4—24no—
17C2×C3×C4×D4—24no—
18C22×C3×C4⋊C4C2211yescharacteristic
19C22×C3×C22⋊C4C2212yes—
20C22×C3×C42C2211yescharacteristic
21C22×#217C2214yes—
22C2×#940—24no—
23C2×#940—24no—
24C2×#940C418yescomplemented
25C22×(C2×D3)⋊C4C2212yes—
26C22×(C2×D3)⋊C4C2214yes—
27C22×(C2×D3)⋊C4C2212yes—
28C22×C4⋊Dic3C2211yescharacteristic
29C22×C4×Dic3C2211yescharacteristic
30C22×C4×Dic3C2211yescharacteristic
31#5221—24no—
32#5213—216no—
33C2×C3⋊#95C2214yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2212yes—
36#4988—24no—
37#4939—24no—
38C22×#127—31no—
39C22×C4×D4D311yescharacteristic, complemented
40C2×#390—31no—
41C2×#390—31no—
42C2×#390—31no—
43C2×#386—34no—
44#1438—34no—
45C4⋊#95—31no—
46C4×#95—31no—
47C25×C3C2312yes—
48C24×D3C2312yes—
49C22×C3×D4—22no—
50C22×C3×D4—22no—
51C22×C3×D4—22no—
52C22×C3×D4—22no—
53C22×C3×D4C2×C414yes—
54C22×C3×D4D414yes—
55C22×C3×D4D414yes—
56C23×C3×C4—24no—
57C23×C3×C4—24no—
58C23×C3×C4—24no—
59C23×C3×C4—28no—
60C23×C3×C4—44no—
61C23×C3×C4C2312yes—
62C23×C3×C4C2311yescharacteristic
63C23×C3×C4C2311yescharacteristic
64C23×C3×C4C2311yescharacteristic
65C22×#67—28no—
66C22×#67—28no—
67C22×#67—28no—
68C22×#67—28no—
69C22×#67—44no—
70C22×#67—44no—
71C22×#67C2×C4116yescomplemented
72C23×Dic3C2312yes—
73C23×Dic3C2312yes—
74C23×Dic3C2312yes—
75C22×D12—22no—
76C22×D12—22no—
77C22×D12—22no—
78C22×D12—22no—
79C22×D12—22no—
80C22×D12—22no—
81C22×D12C2×C414yescomplemented
82C3×C4×D4—232no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—22no—
85C2×C3×C4⋊C4D414yescomplemented
86C2×C3×C22⋊C4—24no—
87C2×C3×C22⋊C4—24no—
88C2×C3×C22⋊C4—24no—
89C2×C3×C42—22no—
90C2×C3×C42—22no—
91C2×C3×C42D414yescomplemented
92C2×#217—28no—
93C2×#217—28no—
94C2×#217—44no—
95#940—232no—
96C2×(C2×D3)⋊C4—24no—
97C2×(C2×D3)⋊C4—24no—
98C2×(C2×D3)⋊C4—28no—
99C2×(C2×D3)⋊C4—28no—
100C2×(C2×D3)⋊C4—28no—
101C2×(C2×D3)⋊C4—44no—
102C2×(C2×D3)⋊C4—44no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—22no—
105C2×C4⋊Dic3—22no—
106C2×C4×Dic3—22no—
107C2×C4×Dic3—22no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3—22no—
110C2×C4×Dic3—22no—
111C2×C4×Dic3C2×C414yescomplemented
112C3⋊#95—28no—
113C3⋊#95—24no—
114C3⋊#95D418yescomplemented
115C23×D4—34no—
116C23×D4—31no—
117C23×D4C2×D311yescharacteristic
118C24×C4C2×D312yes—
119C2×#127—38no—
120C2×#127—64no—
121C2×#127—64no—
122C2×C4×D4—24no—
123C2×C4×D4—24no—
124C2×C4×D4—24no—
125C22×C4⋊C4—31no—
126C22×C4⋊C4C2×D311yescharacteristic
127C22×C22⋊C4—32no—
128C22×C22⋊C4—34no—
129C22×C22⋊C4—34no—
130C22×C22⋊C4—32no—
131C22×C22⋊C4C2×D312yes—
132C22×C42—31no—
133C22×C42—31no—
134C22×C42C2×D311yescharacteristic
135#390—64no—
136#390—64no—
137#390—64no—
138#386—616no—
139C2×#95—32no—
140C2×#95—32no—
141C2×#95—34no—
142C24×C3—24no—
143C24×C3—22no—
144C24×C3—22no—
145C24×C3—24no—
146C24×C3—22no—
147C24×C3—22no—
148C24×C3—24no—
149C24×C3—24no—
150C24×C3C22×C414yes—
151C24×C3C2×D414yes—
152C24×C3C2×D414yes—
153C24×C3C2411yescharacteristic
154C23×D3—22no—
155C23×D3—22no—
156C23×D3—24no—
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—22no—
160C23×D3—22no—
161C23×D3—24no—
162C23×D3—24no—
163C23×D3—24no—
164C23×D3C22×C414yes—
165C2×C3×D4—28no—
166C2×C3×D4—28no—
167C2×C3×D4—28no—
168C2×C3×D4—28no—
169C2×C3×D4—28no—
170C2×C3×D4—28no—
171C2×C3×D4C22⋊C4116yescomplemented
172C22×C3×C4—21no—
173C22×C3×C4—21no—
174C22×C3×C4—22no—
175C22×C3×C4—216no—
176C22×C3×C4—24no—
177C22×C3×C4—21no—
178C22×C3×C4—21no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—24no—
184C22×C3×C4—416no—
185C22×C3×C4—416no—
186C22×C3×C4—48no—
187C22×C3×C4—48no—
188C22×C3×C4C22×C412yes—
189C22×C3×C4C2×D412yes—
190C22×C3×C4C2×D414yes—
191C22×C3×C4C2×D412yes—
192C22×C3×C4C2×D414yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4C2×D412yes—
195C22×C3×C4C2×D412yes—
196C22×C3×C4C2×D412yes—
197C22×C3×C4#4112yes—
198C22×C3×C4#4112yes—
199C2×#67—232no—
200C2×#67—232no—
201C2×#67—416no—
202C2×#67—416no—
203C2×#67—416no—
204C2×#67—416no—
205C2×#67—416no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—24no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—24no—
221C22×Dic3C22×C414yes—
222C22×Dic3C2×D414yes—
223C22×Dic3C2×D414yes—
224C22×Dic3#4114yes—
225C2×D12—28no—
226C2×D12—28no—
227C2×D12—28no—
228C2×D12—44no—
229C2×D12—44no—
230C2×D12—44no—
231C2×D12—44no—
232C3×C4⋊C4—28no—
233C3×C22⋊C4—216no—
234C3×C42—28no—
235#217—416no—
236(C2×D3)⋊C4—416no—
237(C2×D3)⋊C4—48no—
238(C2×D3)⋊C4—48no—
239C4⋊Dic3—44no—
240C4×Dic3—28no—
241C4×Dic3—44no—
242C25—32no—
243C25C22×D312yes—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—316no—
249C22×D4—34no—
250C22×D4—68no—
251C22×D4—68no—
252C22×D4—68no—
253C22×D4—68no—
254C22×D4—62no—
255C22×D4—62no—
256C22×D4—62no—
257C22×D4—62no—
258C22×D4—62no—
259C22×D4—62no—
260C22×D4—124no—
261C22×D4—124no—
262C22×D4C4×D314yes—
263C22×D4D1214yes—
264C22×D4#6714yes—
265C23×C4—24no—
266C23×C4—24no—
267C23×C4—24no—
268C23×C4—28no—
269C23×C4—32no—
270C23×C4—32no—
271C23×C4—32no—
272C23×C4—44no—
273C23×C4C22×D311yescharacteristic
274C23×C4C22×D312yes—
275C23×C4C22×D311yescharacteristic
276C23×C4C22×D311yescharacteristic
277#127—632no—
278C4×D4—232no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—62no—
282C2×C4⋊C4—62no—
283C2×C4⋊C4—62no—
284C2×C4⋊C4#6714yescomplemented
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—68no—
289C2×C22⋊C4—68no—
290C2×C22⋊C4—68no—
291C2×C22⋊C4—68no—
292C2×C22⋊C4—68no—
293C2×C22⋊C4—64no—
294C2×C22⋊C4—64no—
295C2×C22⋊C4—124no—
296C2×C22⋊C4—124no—
297C2×C22⋊C4—124no—
298C2×C42—22no—
299C2×C42—22no—
300C2×C42—34no—
301C2×C42—62no—
302C2×C42—62no—
303C2×C42—62no—
304C2×C42—62no—
305C2×C42—62no—
306C2×C42#6714yescomplemented
307#95—38no—
308#95—64no—
309#95—68no—
310C23×C3—28no—
311C23×C3—24no—
312C23×C3—24no—
313C23×C3—28no—
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—24no—
317C23×C3—24no—
318C23×C3—28no—
319C23×C3—28no—
320C23×C3—28no—
321C23×C3—28no—
322C23×C3—42no—
323C23×C3—44no—
324C23×C3—42no—
325C23×C3—42no—
326C23×C3—42no—
327C23×C3—44no—
328C23×C3—44no—
329C23×C3—44no—
330C23×C3—44no—
331C23×C3—44no—
332C23×C3C2×C22⋊C418yes—
333C23×C3C23×C411yescharacteristic
334C23×C3C22×D411yescharacteristic
335C23×C3C22×D412yes—
336C23×C3C22×D411yescharacteristic
337C23×C3C22×D411yescharacteristic
338C23×C3C22×D411yescharacteristic
339C23×C3C2×#4111yescharacteristic
340C23×C3C2×#4111yescharacteristic
341C23×C3C2×#4112yes—
342C23×C3H(5,𝔽2)12yes—
343C23×C3H(5,𝔽2)12yes—
344C22×D3—24no—
345C22×D3—24no—
346C22×D3—24no—
347C22×D3—28no—
348C22×D3—28no—
349C22×D3—42no—
350C22×D3—42no—
351C22×D3—42no—
352C22×D3—42no—
353C22×D3—42no—
354C22×D3—44no—
355C22×D3—42no—
356C22×D3—42no—
357C22×D3—42no—
358C22×D3—44no—
359C22×D3—44no—
360C22×D3—44no—
361C22×D3—44no—
362C22×D3—44no—
363C22×D3—44no—
364C22×D3—44no—
365C22×D3—44no—
366C22×D3—44no—
367C3×D4—232no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—22no—
373C2×C3×C4—24no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—28no—
377C2×C3×C4—432no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—44no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4C2×C22⋊C414yes—
384C2×C3×C4C4×D414yes—
385C2×C3×C4C4×D414yes—
386C2×C3×C4#12014yes—
387C2×C3×C4#12114yes—
388C2×C3×C4#12114yes—
389C2×C3×C4#12314yes—
390C2×C3×C4#12714yescomplemented
391#67—464no—
392C2×Dic3—24no—
393C2×Dic3—24no—
394C2×Dic3—24no—
395C2×Dic3—24no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—24no—
401C2×Dic3—42no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—44no—
409C2×Dic3—44no—
410C2×Dic3C4×D418yescomplemented
411D12—416no—
412C24—22no—
413C24—22no—
414C24—24no—
415C24—24no—
416C24—24no—
417C24—24no—
418C24—22no—
419C24—22no—
420C24—34no—
421C24—62no—
422C24—62no—
423C24—62no—
424C24—64no—
425C24—64no—
426C24—64no—
427C24—64no—
428C24—62no—
429C24—62no—
430C24—62no—
431C24C2×C4×D314yes—
432C24C2×D1214yes—
433C24C2×#6714yes—
434C24C23×D311yescharacteristic
435C2×D4—28no—
436C2×D4—28no—
437C2×D4—28no—
438C2×D4—28no—
439C2×D4—28no—
440C2×D4—28no—
441C2×D4—632no—
442C2×D4—632no—
443C2×D4—68no—
444C2×D4—68no—
445C2×D4—68no—
446C2×D4—1216no—
447C2×D4—1216no—
448C2×D4—1216no—
449C2×D4—1216no—
450C2×D4—1216no—
451C2×D4—124no—
452C2×D4—124no—
453C2×D4—124no—
454C2×D4—124no—
455C2×D4(C2×D3)⋊C4116yescomplemented
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—216no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—34no—
469C22×C4—34no—
470C22×C4—34no—
471C22×C4—34no—
472C22×C4—416no—
473C22×C4—416no—
474C22×C4—48no—
475C22×C4—48no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—64no—
489C22×C4—64no—
490C22×C4—62no—
491C22×C4C2×C4×D312yes—
492C22×C4C2×D1212yes—
493C22×C4#23512yes—
494C22×C4#23512yes—
495C22×C4D3×D414yes—
496C22×C4C2×#6712yes—
497C22×C4C2×#6714yes—
498C22×C4C2×#6712yes—
499C22×C4C2×#6712yes—
500C22×C4C2×#6712yes—
501C22×C4C2×#6712yes—
502C4⋊C4—28no—
503C4⋊C4—124no—
504C22⋊C4—216no—
505C22⋊C4—1216no—
506C22⋊C4—128no—
507C22⋊C4—1216no—
508C22⋊C4—128no—
509C42—28no—
510C42—68no—
511C42—124no—
512C22×C3—216no—
513C22×C3—28no—
514C22×C3—44no—
515C22×C3—44no—
516C22×C3—48no—
517C22×C3—48no—
518C22×C3—44no—
519C22×C3—44no—
520C22×C3—48no—
521C22×C3—44no—
522C22×C3—44no—
523C22×C3C22×C22⋊C411yescharacteristic
524C22×C3C2×C4×D411yescharacteristic
525C22×C3C2×C4×D411yescharacteristic
526C22×C3C2×C4×D412yes—
527C22×C3#51812yes—
528C22×C3C2×#12011yescharacteristic
529C22×C3C2×#12111yescharacteristic
530C22×C3C2×#12111yescharacteristic
531C22×C3C2×#12311yescharacteristic
532C22×C3C2×#12711yescharacteristic
533C22×C3#53212yes—
534C22×C3#53211yescharacteristic
535C22×C3#53511yescharacteristic
536C22×C3#53511yescharacteristic
537C22×C3#54012yes—
538C22×C3D4212yes—
539C22×C3D4212yes—
540C22×C3D4212yes—
541C22×C3#54612yes—
542C22×C3#54612yes—
543C22×C3#55012yes—
544C22×C3#55012yes—
545C22×C3#55912yes—
546C2×D3—44no—
547C2×D3—44no—
548C2×D3—48no—
549C2×D3—48no—
550C2×D3—44no—
551C2×D3—84no—
552C2×D3—82no—
553C2×D3—82no—
554C2×D3—84no—
555C2×D3—82no—
556C2×D3—82no—
557C3×C4—24no—
558C3×C4—42no—
559C3×C4—44no—
560C3×C4#38618yescomplemented
561Dic3—28no—
562Dic3—44no—
563Dic3—82no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—28no—
571C23—28no—
572C23—28no—
573C23—28no—
574C23—28no—
575C23—24no—
576C23—44no—
577C23—42no—
578C23—44no—
579C23—42no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—42no—
584C23—42no—
585C23—44no—
586C23—64no—
587C23—64no—
588C23—64no—
589C23—68no—
590C23—68no—
591C23—122no—
592C23—122no—
593C23—122no—
594C23—124no—
595C23—124no—
596C23—122no—
597C23—124no—
598C23—124no—
599C23—122no—
600C23—124no—
601C23—124no—
602C23—124no—
603C23—124no—
604C23—124no—
605C23—122no—
606C23—122no—
607C23—124no—
608C23—122no—
609C23C2×(C2×D3)⋊C418yes—
610C23C22×C4×D311yescharacteristic
611C23C22×D1211yescharacteristic
612C23C2×#23511yescharacteristic
613C23C2×#23511yescharacteristic
614C23C2×D3×D412yes—
615C23#100412yes—
616C23D3×#4112yes—
617C23#100912yes—
618C23C22×#6711yescharacteristic
619C23C22×#6711yescharacteristic
620C23C22×#6711yescharacteristic
621D4—232no—
622D4—1264no—
623D4—1216no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—28no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—38no—
634C2×C4—432no—
635C2×C4—44no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—64no—
641C2×C4—64no—
642C2×C4—64no—
643C2×C4—64no—
644C2×C4—64no—
645C2×C4—64no—
646C2×C4—64no—
647C2×C4—64no—
648C2×C4—64no—
649C2×C4—122no—
650C2×C4—122no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—124no—
656C2×C4—124no—
657C2×C4—122no—
658C2×C4C2×(C2×D3)⋊C414yes—
659C2×C4C4×#6714yes—
660C2×C4C4×#6714yes—
661C2×C4#92914yes—
662C2×C4#93014yes—
663C2×C4#93014yes—
664C2×C4#94014yescomplemented
665C2×C4#95314yes—
666C2×C3—48no—
667C2×C3C2×#38611yescharacteristic
668C2×C3C4×#12711yescharacteristic
669C2×C3#232811yescharacteristic
670C2×C3D4×C22⋊C412yes—
671C2×C3#236612yes—
672C2×C3#242812yes—
673C2×C3#243111yescharacteristic
674C2×C3#243311yescharacteristic
675C2×C3#244512yes—
676C2×C3#254111yescharacteristic
677C2×C3#254411yescharacteristic
678D3—84no—
679C22—28no—
680C22—216no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—48no—
686C22—48no—
687C22—44no—
688C22—44no—
689C22—48no—
690C22—124no—
691C22—124no—
692C22—124no—
693C22—128no—
694C22—128no—
695C22—242no—
696C22—242no—
697C22—244no—
698C22—242no—
699C22—242no—
700C22—244no—
701C22C4×D3×D412yes—
702C22#554512yes—
703C22#554812yes—
704C22D4×D1212yes—
705C22#555312yes—
706C22#555412yes—
707C22#555912yes—
708C22#556212yes—
709C22C22×(C2×D3)⋊C411yescharacteristic
710C22C2×C4×#6711yescharacteristic
711C22C2×C4×#6711yescharacteristic
712C22C2×#92911yescharacteristic
713C22C2×#93011yescharacteristic
714C22C2×#93011yescharacteristic
715C22D4×#6712yes—
716C22D4×#6712yes—
717C22C2×#94011yescharacteristic
718C22#580511yescharacteristic
719C22#582912yes—
720C22#583011yescharacteristic
721C22#583211yescharacteristic
722C22#583412yes—
723C22C2×#95311yescharacteristic
724C4—24no—
725C4—44no—
726C4—42no—
727C4—68no—
728C4—124no—
729C4—242no—
730C4#521318yescomplemented
731C3#1402511yescharacteristic, complemented, Sylow
732C2—48no—
733C2—244no—
734C2C4×#94011yescharacteristic
735C2#8232911yescharacteristic
736C2#8234312yes—
737C2#8235812yes—
738C2#8237811yescharacteristic
739C2#8238111yescharacteristic
740C2D4×(C2×D3)⋊C412yes—
741C2#8240912yes—
742C2C2×#521311yescharacteristic
743C2#8404911yescharacteristic
744C2#8409211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC22×C3×C4×D4C2
socle, cosocleC24×C3C24
prime radicalC22×#940C2
hypercenterC22×C4×D4D3
hypocenterC3#14025
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C4×D4C2semidirect
3. C2×#5221C2semidirect
4. C2×#5213C2semidirect
5. C2×#4988C2semidirect
6. C2×#4939C2semidirect
7. #71563C2semidirect
8. #71550C2semidirect
9. C4×C3⋊#95C2semidirect
24. C2×#940C4semidirect
39. C22×C4×D4D3semidirect
71. C22×#67C2×C4semidirect
81. C22×D12C2×C4semidirect
85. C2×C3×C4⋊C4D4semidirect
91. C2×C3×C42D4semidirect
111. C2×C4×Dic3C2×C4semidirect
114. C3⋊#95D4semidirect
171. C2×C3×D4C22⋊C4semidirect
284. C2×C4⋊C4#67semidirect
306. C2×C42#67semidirect
390. C2×C3×C4#127semidirect
410. C2×Dic3C4×D4semidirect
455. C2×D4(C2×D3)⋊C4semidirect
560. C3×C4#386semidirect
664. C2×C4#940semidirect
730. C4#5213semidirect
731. C3#14025semidirect

Maximal subgroups

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

subgroupindex
C22×C3×C4×D42
C22×#9402
C2×#52212
C2×#52132
C2×#49882
C2×#49392
#715632
#715502
C4×C3⋊#952
#140253