Finite Group Databasebeta

← #10718662

Subgroups — #10718662

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×#940C211yesmaximal, characteristic
2C22×C4×D12C211yesmaximal, characteristic, complemented
3C2×C3×#390C211yesmaximal, characteristic, complemented
4C2×#5221C211yesmaximal, characteristic, complemented
5C2×#4988C211yesmaximal, characteristic, complemented
6C2×#4956C214yesmaximal, complemented
7#71563C211yesmaximal, characteristic, complemented
8#71550C214yesmaximal, complemented
9C4×C3⋊#95C211yesmaximal, characteristic, complemented
10#14025—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C23×#67C2214yes—
13C23×D12C2211yescharacteristic
14C23×C4×D3C2212yes—
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2212yes—
17C22×C3×C22⋊C4C2212yes—
18C22×C3×C42C2211yescharacteristic
19C22×#217C2214yes—
20C2×#940—24no—
21C2×#940—24no—
22C2×#940C418yescomplemented
23C22×(C2×D3)⋊C4C2212yes—
24C22×(C2×D3)⋊C4C2214yes—
25C22×C4⋊Dic3C2211yescharacteristic
26C22×C4×Dic3C2211yescharacteristic
27C22×C4×Dic3C2211yescharacteristic
28C2×C4×D12—24no—
29C2×C4×D12—24no—
30C2×C4×D12—24no—
31C3×#390—24no—
32#5221—24no—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2214yes—
35C2×C3⋊#95C2212yes—
36#4988—24no—
37#4956—216no—
38C22×#127—31no—
39C22×C4×D4—31no—
40C2×#390—31no—
41C2×#390—31no—
42C2×#390D311yescharacteristic, complemented
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×D4—22no—
54C22×C3×D4—22no—
55C22×C3×D4C2×C414yescomplemented
56C23×C3×C4C2312yes—
57C23×C3×C4C2311yescharacteristic
58C23×C3×C4C2311yescharacteristic
59C23×C3×C4C2311yescharacteristic
60C22×#67—28no—
61C22×#67—28no—
62C22×#67—28no—
63C22×#67—28no—
64C22×#67—44no—
65C22×#67—44no—
66C22×#67C2×C4116yescomplemented
67C23×Dic3C2312yes—
68C23×Dic3C2312yes—
69C23×Dic3C2312yes—
70C22×D12—22no—
71C22×D12—22no—
72C22×D12—22no—
73C22×D12—22no—
74C22×D12C2×C414yes—
75C22×D12D414yes—
76C22×D12D414yes—
77C22×C4×D3—24no—
78C22×C4×D3—24no—
79C22×C4×D3—24no—
80C22×C4×D3—28no—
81C22×C4×D3—44no—
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—22no—
85C2×C3×C22⋊C4—28no—
86C2×C3×C22⋊C4—24no—
87C2×C3×C22⋊C4—24no—
88C2×C3×C22⋊C4—44no—
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—24no—
99C2×(C2×D3)⋊C4—28no—
100C2×(C2×D3)⋊C4—28no—
101C2×(C2×D3)⋊C4—44no—
102C2×C4⋊Dic3—22no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3D414yescomplemented
105C2×C4×Dic3—22no—
106C2×C4×Dic3—22no—
107C2×C4×Dic3—22no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3—22no—
110C2×C4×Dic3C2×C414yescomplemented
111C4×D12—232no—
112C3⋊#95—28no—
113C3⋊#95—24no—
114C3⋊#95D418yescomplemented
115C23×D4—34no—
116C23×D4—31no—
117C23×D4C2×D311yescharacteristic
118C24×C4—32no—
119C2×#127—38no—
120C2×#127—64no—
121C2×#127—64no—
122C2×C4×D4—64no—
123C2×C4×D4—64no—
124C2×C4×D4—64no—
125C22×C4⋊C4—31no—
126C22×C4⋊C4C2×D311yescharacteristic
127C22×C22⋊C4—32no—
128C22×C22⋊C4—34no—
129C22×C22⋊C4—34no—
130C22×C22⋊C4C2×D312yes—
131C22×C22⋊C4C2×D312yes—
132C22×C42—31no—
133C22×C42—31no—
134C22×C42C2×D311yescharacteristic
135#390—24no—
136#390—64no—
137#390—64no—
138#386—616no—
139C2×#95—32no—
140C2×#95—32no—
141C2×#95—34no—
142C24×C3—22no—
143C24×C3—24no—
144C24×C3—22no—
145C24×C3—22no—
146C24×C3—22no—
147C24×C3—24no—
148C24×C3—22no—
149C24×C3—22no—
150C24×C3—24no—
151C24×C3—24no—
152C24×C3C22×C414yes—
153C24×C3C2411yescharacteristic
154C23×D3—22no—
155C23×D3—22no—
156C23×D3—24no—
157C23×D3—22no—
158C23×D3—22no—
159C23×D3—24no—
160C23×D3—24no—
161C23×D3—24no—
162C23×D3C22×C414yes—
163C23×D3C2×D414yes—
164C23×D3C2×D414yes—
165C2×C3×D4—28no—
166C2×C3×D4—28no—
167C2×C3×D4—28no—
168C2×C3×D4—44no—
169C2×C3×D4—44no—
170C2×C3×D4—44no—
171C2×C3×D4—44no—
172C22×C3×C4—21no—
173C22×C3×C4—21no—
174C22×C3×C4—22no—
175C22×C3×C4—21no—
176C22×C3×C4—21no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—24no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—24no—
184C22×C3×C4C22×C412yes—
185C22×C3×C4C2×D414yes—
186C22×C3×C4C2×D412yes—
187C22×C3×C4C2×D412yes—
188C22×C3×C4C2×D412yes—
189C22×C3×C4C2×D412yes—
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D412yes—
192C22×C3×C4#4112yes—
193C22×C3×C4#4112yes—
194C2×#67—232no—
195C2×#67—232no—
196C2×#67—416no—
197C2×#67—416no—
198C2×#67—416no—
199C2×#67—416no—
200C2×#67—416no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—24no—
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—24no—
215C22×Dic3C22×C414yes—
216C22×Dic3C2×D414yes—
217C22×Dic3C2×D414yes—
218C22×Dic3C2×D414yes—
219C22×Dic3#4114yes—
220C2×D12—28no—
221C2×D12—28no—
222C2×D12—28no—
223C2×D12—28no—
224C2×D12—28no—
225C2×D12—28no—
226C2×D12C22⋊C4116yescomplemented
227C2×C4×D3—216no—
228C2×C4×D3—416no—
229C2×C4×D3—416no—
230C2×C4×D3—48no—
231C2×C4×D3—48no—
232C3×C4⋊C4—44no—
233C3×C22⋊C4—48no—
234C3×C22⋊C4—48no—
235C3×C42—28no—
236#217—416no—
237(C2×D3)⋊C4—216no—
238(C2×D3)⋊C4—416no—
239C4⋊Dic3—28no—
240C4×Dic3—28no—
241C4×Dic3—44no—
242C25—32no—
243C25C22×D312yes—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—316no—
251C22×D4—34no—
252C22×D4—34no—
253C22×D4—34no—
254C22×D4—68no—
255C22×D4—68no—
256C22×D4—68no—
257C22×D4—68no—
258C22×D4—62no—
259C22×D4—62no—
260C22×D4—62no—
261C22×D4—62no—
262C22×D4—124no—
263C22×D4—124no—
264C22×D4C4×D314yescomplemented
265C23×C4—32no—
266C23×C4—32no—
267C23×C4—32no—
268C23×C4—64no—
269C23×C4—64no—
270C23×C4—64no—
271C23×C4—68no—
272C23×C4—124no—
273C23×C4C22×D312yes—
274C23×C4C22×D311yescharacteristic
275C23×C4C22×D311yescharacteristic
276C23×C4C22×D311yescharacteristic
277#127—632no—
278C4×D4—632no—
279C2×C4⋊C4—22no—
280C2×C4⋊C4—22no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—34no—
283C2×C4⋊C4—62no—
284C2×C4⋊C4—62no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—44no—
289C2×C22⋊C4—64no—
290C2×C22⋊C4—64no—
291C2×C22⋊C4—64no—
292C2×C22⋊C4—68no—
293C2×C22⋊C4—68no—
294C2×C22⋊C4—68no—
295C2×C22⋊C4—68no—
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—24no—
311C23×C3—28no—
312C23×C3—24no—
313C23×C3—24no—
314C23×C3—28no—
315C23×C3—42no—
316C23×C3—42no—
317C23×C3—42no—
318C23×C3—42no—
319C23×C3—42no—
320C23×C3—44no—
321C23×C3—42no—
322C23×C3—42no—
323C23×C3—42no—
324C23×C3—44no—
325C23×C3—44no—
326C23×C3—44no—
327C23×C3—44no—
328C23×C3—44no—
329C23×C3—44no—
330C23×C3—44no—
331C23×C3—44no—
332C23×C3—44no—
333C23×C3C23×C411yescharacteristic
334C23×C3C22×D411yescharacteristic
335C23×C3C22×D411yescharacteristic
336C23×C3C22×D411yescharacteristic
337C23×C3C22×D412yes—
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—28no—
347C22×D3—28no—
348C22×D3—24no—
349C22×D3—24no—
350C22×D3—24no—
351C22×D3—24no—
352C22×D3—28no—
353C22×D3—28no—
354C22×D3—28no—
355C22×D3—28no—
356C22×D3—42no—
357C22×D3—44no—
358C22×D3—42no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—44no—
362C22×D3—44no—
363C22×D3—44no—
364C22×D3—44no—
365C22×D3—44no—
366C22×D3C2×C22⋊C418yes—
367C3×D4—416no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—44no—
381C2×C3×C4—44no—
382C2×C3×C4C2×C22⋊C414yes—
383C2×C3×C4C4×D414yes—
384C2×C3×C4C4×D414yes—
385C2×C3×C4#12014yes—
386C2×C3×C4#12114yes—
387C2×C3×C4#12114yes—
388C2×C3×C4#12314yes—
389C2×C3×C4#12714yescomplemented
390#67—464no—
391C2×Dic3—24no—
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—28no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—44no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3C4×D418yescomplemented
410D12—232no—
411C4×D3—432no—
412C24—22no—
413C24—24no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—22no—
418C24—24no—
419C24—24no—
420C24—24no—
421C24—22no—
422C24—34no—
423C24—34no—
424C24—34no—
425C24—62no—
426C24—64no—
427C24—62no—
428C24—62no—
429C24—64no—
430C24—64no—
431C24—64no—
432C24—62no—
433C24C2×C4×D314yes—
434C24C23×D311yescharacteristic
435C2×D4—28no—
436C2×D4—28no—
437C2×D4—28no—
438C2×D4—316no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—632no—
444C2×D4—632no—
445C2×D4—68no—
446C2×D4—68no—
447C2×D4—68no—
448C2×D4—68no—
449C2×D4—68no—
450C2×D4—68no—
451C2×D4—1216no—
452C2×D4—1216no—
453C2×D4—1216no—
454C2×D4—1216no—
455C2×D4—1216no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—22no—
468C22×C4—34no—
469C22×C4—34no—
470C22×C4—34no—
471C22×C4—34no—
472C22×C4—34no—
473C22×C4—616no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—64no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—64no—
487C22×C4—62no—
488C22×C4—1216no—
489C22×C4—1216no—
490C22×C4—128no—
491C22×C4—128no—
492C22×C4C2×C4×D312yes—
493C22×C4#23512yes—
494C22×C4D3×D414yes—
495C22×C4D3×D412yes—
496C22×C4D3×D412yes—
497C22×C4D3×D412yes—
498C22×C4#23712yes—
499C22×C4C2×#6712yes—
500C22×C4C2×#6712yes—
501C22×C4C2×#6712yes—
502C4⋊C4—44no—
503C4⋊C4—68no—
504C22⋊C4—48no—
505C22⋊C4—48no—
506C22⋊C4—616no—
507C22⋊C4—1216no—
508C22⋊C4—1216no—
509C42—28no—
510C42—68no—
511C42—124no—
512C22×C3—44no—
513C22×C3—44no—
514C22×C3—48no—
515C22×C3—48no—
516C22×C3—44no—
517C22×C3—84no—
518C22×C3—82no—
519C22×C3—82no—
520C22×C3—84no—
521C22×C3—82no—
522C22×C3—82no—
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—216no—
547C2×D3—28no—
548C2×D3—44no—
549C2×D3—44no—
550C2×D3—48no—
551C2×D3—48no—
552C2×D3—44no—
553C2×D3—44no—
554C2×D3—48no—
555C2×D3—44no—
556C2×D3—44no—
557C3×C4—24no—
558C3×C4—42no—
559C3×C4—82no—
560C3×C4#38618yescomplemented
561Dic3—28no—
562Dic3—44no—
563Dic3—44no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—28no—
568C23—28no—
569C23—38no—
570C23—44no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—44no—
580C23—42no—
581C23—44no—
582C23—42no—
583C23—42no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—44no—
588C23—68no—
589C23—68no—
590C23—64no—
591C23—64no—
592C23—64no—
593C23—64no—
594C23—64no—
595C23—68no—
596C23—64no—
597C23—68no—
598C23—68no—
599C23—68no—
600C23—124no—
601C23—124no—
602C23—122no—
603C23—124no—
604C23—122no—
605C23—124no—
606C23—122no—
607C23—122no—
608C23—124no—
609C23—124no—
610C23C22×C4×D311yescharacteristic
611C23C2×#23511yescharacteristic
612C23C2×D3×D411yescharacteristic
613C23C2×D3×D412yes—
614C23C2×D3×D411yescharacteristic
615C23C2×D3×D411yescharacteristic
616C23C2×#23711yescharacteristic
617C23#100412yes—
618C23D3×#4112yes—
619C23#100912yes—
620C23C22×#6711yescharacteristic
621D4—416no—
622D4—632no—
623D4—1264no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—38no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—44no—
635C2×C4—44no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—64no—
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—68no—
650C2×C4—1232no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—122no—
656C2×C4—122no—
657C2×C4—124no—
658C2×C4D3×C22⋊C414yes—
659C2×C4#67⋊C414yes—
660C2×C4#88314yes—
661C2×C4#88414yes—
662C2×C4C4×#6714yes—
663C2×C4#93714yes—
664C2×C4#93814yes—
665C2×C4#94014yescomplemented
666C2×C3—84no—
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—48no—
679C22—48no—
680C22—48no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—616no—
685C22—68no—
686C22—82no—
687C22—84no—
688C22—84no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22—128no—
693C22—124no—
694C22—128no—
695C22—124no—
696C22—124no—
697C22—128no—
698C22—124no—
699C22—124no—
700C22—124no—
701C22C2×D3×C22⋊C411yescharacteristic
702C22C2×#67⋊C411yescharacteristic
703C22C2×#88311yescharacteristic
704C22C2×#88411yescharacteristic
705C22C4×D3×D412yes—
706C22#554512yes—
707C22#554812yes—
708C22#556212yes—
709C22#559912yes—
710C22#560912yes—
711C22#560912yes—
712C22#561212yes—
713C22#567612yes—
714C22#568112yes—
715C22#571712yes—
716C22#571812yes—
717C22C2×C4×#6711yescharacteristic
718C22C2×#93711yescharacteristic
719C22C2×#93811yescharacteristic
720C22C2×#94011yescharacteristic
721C22#580511yescharacteristic
722C22#583011yescharacteristic
723C22#583211yescharacteristic
724C4—24no—
725C4—42no—
726C4—68no—
727C4—82no—
728C4—124no—
729C4—124no—
730C4#495618yescomplemented
731C3#1402511yescharacteristic, complemented, Sylow
732C2—84no—
733C2—128no—
734C2#7630612yes—
735C2#7631612yes—
736C2#7643112yes—
737C2#7644412yes—
738C2C2×#495611yescharacteristic
739C2C4×#94011yescharacteristic
740C2#8232911yescharacteristic
741C2#8265211yescharacteristic
742C2#8265311yescharacteristic
743C2#8296911yescharacteristic
744C2#8318811yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
FittingC2×C3×#390C2
socle, cosocleC24×C3C24
prime radicalC22×#940C2
hypercenterC2×#390D3
hypocenterC3#14025
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C22×C4×D12C2semidirect
3. C2×C3×#390C2semidirect
4. C2×#5221C2semidirect
5. C2×#4988C2semidirect
6. C2×#4956C2semidirect
7. #71563C2semidirect
8. #71550C2semidirect
9. C4×C3⋊#95C2semidirect
22. C2×#940C4semidirect
42. C2×#390D3semidirect
55. C22×C3×D4C2×C4semidirect
66. C22×#67C2×C4semidirect
91. C2×C3×C42D4semidirect
104. C2×C4⋊Dic3D4semidirect
110. C2×C4×Dic3C2×C4semidirect
114. C3⋊#95D4semidirect
226. C2×D12C22⋊C4semidirect
264. C22×D4C4×D3semidirect
306. C2×C42#67semidirect
389. C2×C3×C4#127semidirect
409. C2×Dic3C4×D4semidirect
560. C3×C4#386semidirect
665. C2×C4#940semidirect
730. C4#4956semidirect
731. C3#14025semidirect

Maximal subgroups

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

subgroupindex
C22×#9402
C22×C4×D122
C2×C3×#3902
C2×#52212
C2×#49882
C2×#49562
#715632
#715502
C4×C3⋊#952
#140253