Finite Group Databasebeta

← #10718664

Subgroups — #10718664

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×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×C3×#390C211yesmaximal, characteristic, complemented
4C2×#4988C211yesmaximal, characteristic, complemented
5C2×#4958C214yesmaximal, complemented
6C2×#4939C211yesmaximal, characteristic, complemented
7#71563C211yesmaximal, characteristic, complemented
8#71550C214yesmaximal, complemented
9C4×C3⋊#95C211yesmaximal, characteristic, complemented
10#14025—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C23×#67C2214yes—
13C24×Dic3C2212yes—
14C23×D12C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2214yes—
17C22×C3×C42C2211yescharacteristic
18C22×#217C2212yes—
19C2×#940—24no—
20C2×#940—24no—
21C2×#940C418yescomplemented
22C2×D4×Dic3—24no—
23C2×D4×Dic3—24no—
24C2×D4×Dic3—24no—
25C22×(C2×D3)⋊C4C2212yes—
26C22×(C2×D3)⋊C4C2214yes—
27C22×(C2×D3)⋊C4C2212yes—
28C22×C4⋊Dic3C2211yescharacteristic
29C22×C4×Dic3C2211yescharacteristic
30C22×C4×Dic3C2211yescharacteristic
31C3×#390—24no—
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2214yes—
34C2×C3⋊#95C2212yes—
35#4988—24no—
36#4958—216no—
37#4939—24no—
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×D4C2×C414yes—
54C22×C3×D4D414yes—
55C22×C3×D4D414yes—
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C22×#67—28no—
60C22×#67—28no—
61C22×#67—28no—
62C22×#67—28no—
63C22×#67—44no—
64C22×#67—44no—
65C22×#67C2×C4116yescomplemented
66C23×Dic3—24no—
67C23×Dic3—24no—
68C23×Dic3—24no—
69C23×Dic3—28no—
70C23×Dic3—44no—
71C23×Dic3C2312yes—
72C23×Dic3C2311yescharacteristic
73C23×Dic3C2312yes—
74C23×Dic3C2311yescharacteristic
75C22×D12—22no—
76C22×D12—22no—
77C22×D12—22no—
78C22×D12—22no—
79C22×D12—22no—
80C22×D12—22no—
81C22×D12C2×C414yescomplemented
82C2×C3×C4⋊C4—22no—
83C2×C3×C4⋊C4—22no—
84C2×C3×C4⋊C4—22no—
85C2×C3×C22⋊C4—28no—
86C2×C3×C22⋊C4—28no—
87C2×C3×C22⋊C4—44no—
88C2×C3×C42—22no—
89C2×C3×C42—22no—
90C2×C3×C42—22no—
91C2×#217—24no—
92C2×#217—24no—
93C2×#217—24no—
94#940—232no—
95D4×Dic3—232no—
96C2×(C2×D3)⋊C4—28no—
97C2×(C2×D3)⋊C4—28no—
98C2×(C2×D3)⋊C4—28no—
99C2×(C2×D3)⋊C4—24no—
100C2×(C2×D3)⋊C4—24no—
101C2×(C2×D3)⋊C4—44no—
102C2×(C2×D3)⋊C4—44no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—22no—
105C2×C4⋊Dic3D414yescomplemented
106C2×C4×Dic3—22no—
107C2×C4×Dic3—22no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3—22no—
110C2×C4×Dic3C2×C414yescomplemented
111C2×C4×Dic3D414yescomplemented
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—32no—
129C22×C22⋊C4—34no—
130C22×C22⋊C4—32no—
131C22×C22⋊C4C2×D314yes—
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—22no—
144C24×C3—24no—
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—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—24no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—24no—
183C22×C3×C4C22×C412yes—
184C22×C3×C4C2×D412yes—
185C22×C3×C4C2×D414yes—
186C22×C3×C4C2×D412yes—
187C22×C3×C4C2×D412yes—
188C22×C3×C4C2×D412yes—
189C22×C3×C4#4112yes—
190C22×C3×C4#4112yes—
191C2×#67—232no—
192C2×#67—232no—
193C2×#67—416no—
194C2×#67—416no—
195C2×#67—416no—
196C2×#67—416no—
197C2×#67—416no—
198C22×Dic3—21no—
199C22×Dic3—21no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—216no—
206C22×Dic3—24no—
207C22×Dic3—21no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—24no—
214C22×Dic3—416no—
215C22×Dic3—416no—
216C22×Dic3—48no—
217C22×Dic3—48no—
218C22×Dic3C22×C414yes—
219C22×Dic3C2×D412yes—
220C22×Dic3C2×D414yes—
221C22×Dic3C2×D414yes—
222C22×Dic3C2×D414yes—
223C22×Dic3C2×D412yes—
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—44no—
233C3×C22⋊C4—416no—
234C3×C42—44no—
235#217—216no—
236(C2×D3)⋊C4—416no—
237(C2×D3)⋊C4—48no—
238(C2×D3)⋊C4—48no—
239C4⋊Dic3—28no—
240C4×Dic3—28no—
241C4×Dic3—28no—
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—31no—
266C23×C4—32no—
267C23×C4—31no—
268C23×C4—32no—
269C23×C4—64no—
270C23×C4—64no—
271C23×C4—68no—
272C23×C4—64no—
273C23×C4—124no—
274C23×C4C22×D312yes—
275C23×C4C22×D312yes—
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—28no—
287C2×C22⋊C4—44no—
288C2×C22⋊C4—64no—
289C2×C22⋊C4—64no—
290C2×C22⋊C4—64no—
291C2×C22⋊C4—68no—
292C2×C22⋊C4—68no—
293C2×C22⋊C4—64no—
294C2×C22⋊C4—64no—
295C2×C22⋊C4—68no—
296C2×C22⋊C4—124no—
297C2×C22⋊C4—124no—
298C2×C42—22no—
299C2×C42—22no—
300C2×C42—22no—
301C2×C42—34no—
302C2×C42—34no—
303C2×C42—62no—
304C2×C42—62no—
305C2×C42—62no—
306C2×C42—62no—
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—42no—
324C23×C3—44no—
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×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—24no—
347C22×D3—28no—
348C22×D3—28no—
349C22×D3—42no—
350C22×D3—42no—
351C22×D3—42no—
352C22×D3—42no—
353C22×D3—42no—
354C22×D3—42no—
355C22×D3—44no—
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—24no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—44no—
379C2×C3×C4—44no—
380C2×C3×C4C2×C22⋊C414yes—
381C2×C3×C4C4×D414yes—
382C2×C3×C4C4×D414yes—
383C2×C3×C4#12014yes—
384C2×C3×C4#12114yes—
385C2×C3×C4#12114yes—
386C2×C3×C4#12314yes—
387#67—464no—
388C2×Dic3—24no—
389C2×Dic3—24no—
390C2×Dic3—22no—
391C2×Dic3—22no—
392C2×Dic3—24no—
393C2×Dic3—24no—
394C2×Dic3—24no—
395C2×Dic3—24no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—22no—
399C2×Dic3—24no—
400C2×Dic3—22no—
401C2×Dic3—22no—
402C2×Dic3—28no—
403C2×Dic3—432no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—44no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3C4×D418yescomplemented
410C2×Dic3#12714yescomplemented
411D12—416no—
412C24—24no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—24no—
418C24—24no—
419C24—24no—
420C24—34no—
421C24—62no—
422C24—62no—
423C24—62no—
424C24—64no—
425C24—62no—
426C24—62no—
427C24—64no—
428C24—64no—
429C24—64no—
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—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—34no—
468C22×C4—34no—
469C22×C4—34no—
470C22×C4—32no—
471C22×C4—34no—
472C22×C4—32no—
473C22×C4—34no—
474C22×C4—61no—
475C22×C4—62no—
476C22×C4—61no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—616no—
482C22×C4—61no—
483C22×C4—62no—
484C22×C4—64no—
485C22×C4—61no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—64no—
490C22×C4—128no—
491C22×C4—1216no—
492C22×C4—1216no—
493C22×C4—128no—
494C22×C4C2×C4×D312yes—
495C22×C4C2×D1212yes—
496C22×C4D3×D414yes—
497C22×C4D3×D412yes—
498C22×C4D3×D412yes—
499C22×C4#23712yes—
500C22×C4#23712yes—
501C22×C4C2×#6712yes—
502C4⋊C4—44no—
503C4⋊C4—68no—
504C22⋊C4—416no—
505C22⋊C4—616no—
506C22⋊C4—1216no—
507C22⋊C4—128no—
508C22⋊C4—128no—
509C42—44no—
510C42—68no—
511C42—68no—
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#53211yescharacteristic
534C22×C3#53212yes—
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—44no—
558C3×C4—82no—
559C3×C4#38618yescomplemented
560Dic3—28no—
561Dic3—24no—
562Dic3—42no—
563Dic3—44no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—28no—
569C23—28no—
570C23—28no—
571C23—24no—
572C23—24no—
573C23—28no—
574C23—28no—
575C23—28no—
576C23—42no—
577C23—42no—
578C23—44no—
579C23—42no—
580C23—42no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—64no—
587C23—64no—
588C23—64no—
589C23—68no—
590C23—68no—
591C23—122no—
592C23—122no—
593C23—124no—
594C23—122no—
595C23—122no—
596C23—124no—
597C23—122no—
598C23—122no—
599C23—124no—
600C23—122no—
601C23—122no—
602C23—124no—
603C23—124no—
604C23—124no—
605C23—124no—
606C23—124no—
607C23—124no—
608C23—124no—
609C23C2×(C2×D3)⋊C418yes—
610C23C22×C4×D311yescharacteristic
611C23C22×D1211yescharacteristic
612C23C2×D3×D411yescharacteristic
613C23C2×D3×D412yes—
614C23C2×D3×D411yescharacteristic
615C23C2×#23711yescharacteristic
616C23C2×#23711yescharacteristic
617C23#100412yes—
618C23D3×#4112yes—
619C23#100912yes—
620C23C22×#6711yescharacteristic
621D4—232no—
622D4—1264no—
623D4—1216no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—34no—
628C2×C4—38no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—62no—
639C2×C4—62no—
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—62no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—64no—
652C2×C4—68no—
653C2×C4—1232no—
654C2×C4—122no—
655C2×C4—122no—
656C2×C4—124no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4#67⋊C414yes—
660C2×C4#67⋊C414yes—
661C2×C4#88214yes—
662C2×C4#88614yes—
663C2×C4C2×(C2×D3)⋊C414yes—
664C2×C4#93914yes—
665C2×C4#93914yes—
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—48no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—48no—
688C22—48no—
689C22—44no—
690C22—124no—
691C22—124no—
692C22—128no—
693C22—124no—
694C22—128no—
695C22—242no—
696C22—242no—
697C22—242no—
698C22—244no—
699C22—244no—
700C22—242no—
701C22C2×#67⋊C411yescharacteristic
702C22C2×#67⋊C411yescharacteristic
703C22C2×#88211yescharacteristic
704C22C2×#88611yescharacteristic
705C22C4×D3×D412yes—
706C22#554512yes—
707C22D4×D1212yes—
708C22#555412yes—
709C22#559612yes—
710C22#559912yes—
711C22#560912yes—
712C22#561912yes—
713C22#566811yescharacteristic
714C22#567411yescharacteristic
715C22#568112yes—
716C22D3×#12711yescharacteristic
717C22#571511yescharacteristic
718C22#571812yes—
719C22C22×(C2×D3)⋊C411yescharacteristic
720C22D4×#6712yes—
721C22C2×#93911yescharacteristic
722C22C2×#93911yescharacteristic
723C22#582912yes—
724C4—44no—
725C4—64no—
726C4—68no—
727C4—82no—
728C4—122no—
729C4—124no—
730C4#495818yescomplemented
731C3#1402511yescharacteristic, complemented, Sylow
732C2—48no—
733C2—244no—
734C2#7629311yescharacteristic
735C2#7629811yescharacteristic
736C2#7630612yes—
737C2#7631311yescharacteristic
738C2#7631411yescharacteristic
739C2#7631712yes—
740C2C2×#495811yescharacteristic
741C2D4×(C2×D3)⋊C412yes—
742C2#8264912yes—
743C2#8297011yescharacteristic
744C2#8317711yescharacteristic
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×D4×Dic3C2semidirect
3. C2×C3×#390C2semidirect
4. C2×#4988C2semidirect
5. C2×#4958C2semidirect
6. C2×#4939C2semidirect
7. #71563C2semidirect
8. #71550C2semidirect
9. C4×C3⋊#95C2semidirect
21. C2×#940C4semidirect
42. C2×#390D3semidirect
65. C22×#67C2×C4semidirect
81. C22×D12C2×C4semidirect
105. C2×C4⋊Dic3D4semidirect
110. C2×C4×Dic3C2×C4semidirect
111. C2×C4×Dic3D4semidirect
114. C3⋊#95D4semidirect
171. C2×C3×D4C22⋊C4semidirect
409. C2×Dic3C4×D4semidirect
410. C2×Dic3#127semidirect
455. C2×D4(C2×D3)⋊C4semidirect
559. C3×C4#386semidirect
730. C4#4958semidirect
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×D4×Dic32
C2×C3×#3902
C2×#49882
C2×#49582
C2×#49392
#715632
#715502
C4×C3⋊#952
#140253