Finite Group Databasebeta

← #10726574

Subgroups — #10726574

Order 768.

4878 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#930C211yesmaximal, characteristic, complemented
2C23×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
3C22×#882C212yesmaximal, complemented
4C2×#4958C212yesmaximal, complemented
5C2×#4671C212yesmaximal, complemented
6C3×C22⋊#95C211yesmaximal, characteristic, complemented
7#69427C212yesmaximal, complemented
8#69426C214yesmaximal, complemented
9#14716—31nomaximal, Sylow
10C25×D3C2211yescharacteristic
11C24×C3×C4C2211yescharacteristic
12C23×#67C2212yes—
13C24×Dic3C2211yescharacteristic
14C23×D12C2214yes—
15C23×D12C2211yescharacteristic, complemented
16C22×C3×C22⋊C4C2212yes—
17C2×#930—24no—
18C2×#930—28no—
19C22×(C2×D3)⋊C4—24no—
20C22×(C2×D3)⋊C4—28no—
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2214yes—
23C22×(C2×D3)⋊C4C2212yes—
24C22×(C2×D3)⋊C4C2212yescomplemented
25C22×(C2×D3)⋊C4C2214yescomplemented
26C22×C4⋊Dic3C2211yescharacteristic, complemented
27C2×#882—28no—
28C2×#882—28no—
29C2×#882—28no—
30C2×C3×#95C2212yescomplemented
31C2×C3×#95C2212yescomplemented
32C2×C3⋊#95C2214yescomplemented
33#4958—28no—
34#4671—28no—
35C22×#121—31no—
36C22×#120—32no—
37C23×C22⋊C4—31no—
38C2×#392—32no—
39C2×#386—32no—
40#1439—32no—
41#1438—34no—
42C22⋊#95D311yescharacteristic, complemented
43C25×C3C2311yescharacteristic
44C24×D3—22no—
45C24×D3—22no—
46C24×D3—24no—
47C24×D3—24no—
48C24×D3—24no—
49C24×D3—24no—
50C24×D3—42no—
51C24×D3—42no—
52C24×D3D414yescomplemented
53C24×D3C2312yes—
54C24×D3C2312yes—
55C23×C3×C4—24no—
56C23×C3×C4—24no—
57C23×C3×C4—42no—
58C23×C3×C4D414yescomplemented
59C23×C3×C4C2314yes—
60C23×C3×C4C2311yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C22×#67—24no—
63C22×#67—24no—
64C22×#67—24no—
65C22×#67—24no—
66C22×#67—24no—
67C22×#67—24no—
68C22×#67D418yescomplemented
69C23×Dic3—22no—
70C23×Dic3—24no—
71C23×Dic3—24no—
72C23×Dic3—42no—
73C23×Dic3C2312yes—
74C23×Dic3C2312yes—
75C22×D12—28no—
76C22×D12—28no—
77C22×D12—24no—
78C22×D12—28no—
79C22×D12—22no—
80C22×D12—28no—
81C22×D12—28no—
82C22×D12—24no—
83C22×D12—44no—
84C22×D12—44no—
85C22×D12—42no—
86C2×C3×C22⋊C4—24no—
87C2×C3×C22⋊C4—24no—
88C2×C3×C22⋊C4D418yescomplemented
89#930—232no—
90C2×(C2×D3)⋊C4—232no—
91C2×(C2×D3)⋊C4—28no—
92C2×(C2×D3)⋊C4—24no—
93C2×(C2×D3)⋊C4—24no—
94C2×(C2×D3)⋊C4—28no—
95C2×(C2×D3)⋊C4—24no—
96C2×(C2×D3)⋊C4—24no—
97C2×(C2×D3)⋊C4—24no—
98C2×(C2×D3)⋊C4—24no—
99C2×(C2×D3)⋊C4—28no—
100C2×(C2×D3)⋊C4—24no—
101C2×(C2×D3)⋊C4—24no—
102C2×(C2×D3)⋊C4—28no—
103C2×(C2×D3)⋊C4—28no—
104C2×(C2×D3)⋊C4—44no—
105C2×(C2×D3)⋊C4D418yescomplemented
106C2×C4⋊Dic3—22no—
107C2×C4⋊Dic3—24no—
108#882—264no—
109C3×#95—24no—
110C3×#95—42no—
111C3⋊#95—28no—
112C26—31no—
113C23×D4—32no—
114C23×D4—34no—
115C23×D4—31no—
116C24×C4—31no—
117C24×C4C2×D311yescharacteristic
118C2×#121—68no—
119C2×#121—64no—
120C2×#120—68no—
121C2×#120—68no—
122C2×#120—68no—
123C22×C4⋊C4—31no—
124C22×C22⋊C4—32no—
125C22×C22⋊C4—32no—
126C22×C22⋊C4—34no—
127C22×C22⋊C4—32no—
128C22×C22⋊C4—34no—
129C22×C22⋊C4—68no—
130C22×C22⋊C4—64no—
131C22×C22⋊C4C2×D312yes—
132#392—68no—
133#386—68no—
134C2×#95—34no—
135C2×#95C2×D312yescomplemented
136C2×#95C2×D312yescomplemented
137C24×C3—22no—
138C24×C3—22no—
139C24×C3—22no—
140C24×C3—22no—
141C24×C3C2×D414yes—
142C24×C3C2×D412yes—
143C24×C3C2×D412yes—
144C24×C3C2×D414yes—
145C24×C3#4112yes—
146C24×C3C2411yescharacteristic
147C23×D3—28no—
148C23×D3—216no—
149C23×D3—28no—
150C23×D3—28no—
151C23×D3—22no—
152C23×D3—22no—
153C23×D3—24no—
154C23×D3—24no—
155C23×D3—22no—
156C23×D3—22no—
157C23×D3—24no—
158C23×D3—24no—
159C23×D3—216no—
160C23×D3—216no—
161C23×D3—22no—
162C23×D3—24no—
163C23×D3—22no—
164C23×D3—22no—
165C23×D3—22no—
166C23×D3—22no—
167C23×D3—24no—
168C23×D3—22no—
169C23×D3—24no—
170C23×D3—24no—
171C23×D3—48no—
172C23×D3—416no—
173C23×D3—416no—
174C23×D3—416no—
175C23×D3—416no—
176C23×D3—44no—
177C23×D3—44no—
178C23×D3—48no—
179C23×D3—44no—
180C23×D3—48no—
181C23×D3—44no—
182C23×D3C2×D414yes—
183C23×D3C2×D414yes—
184C23×D3C2×D414yes—
185C23×D3#4114yes—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—28no—
189C22×C3×C4—24no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—24no—
193C22×C3×C4—24no—
194C22×C3×C4—24no—
195C22×C3×C4—24no—
196C22×C3×C4—22no—
197C22×C3×C4—24no—
198C22×C3×C4—28no—
199C22×C3×C4—44no—
200C22×C3×C4—416no—
201C22×C3×C4C2×D418yes—
202C22×C3×C4C2×D412yes—
203C22×C3×C4C2×D412yes—
204C22×C3×C4C2×D414yes—
205C2×#67—216no—
206C2×#67—216no—
207C2×#67—216no—
208C2×#67—48no—
209C2×#67—48no—
210C2×#67—48no—
211C2×#67—48no—
212C22×Dic3—28no—
213C22×Dic3—22no—
214C22×Dic3—24no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—24no—
223C22×Dic3—416no—
224C22×Dic3—44no—
225C22×Dic3—44no—
226C22×Dic3C2×D414yes—
227C22×Dic3C2×D414yes—
228C2×D12—232no—
229C2×D12—28no—
230C2×D12—416no—
231C2×D12—416no—
232C2×D12—416no—
233C2×D12—44no—
234C2×D12—416no—
235C2×D12—416no—
236C2×D12—416no—
237C2×D12—416no—
238C2×D12—44no—
239C3×C22⋊C4—216no—
240(C2×D3)⋊C4—232no—
241(C2×D3)⋊C4—216no—
242(C2×D3)⋊C4—216no—
243(C2×D3)⋊C4—216no—
244(C2×D3)⋊C4—416no—
245C4⋊Dic3—28no—
246C25—32no—
247C25—32no—
248C25—34no—
249C25—64no—
250C25—64no—
251C25—62no—
252C25—62no—
253C25—64no—
254C25—64no—
255C25—122no—
256C25—122no—
257C25C22×D311yescharacteristic
258C22×D4—38no—
259C22×D4—68no—
260C22×D4—68no—
261C22×D4—64no—
262C22×D4—68no—
263C22×D4—68no—
264C22×D4—64no—
265C22×D4—64no—
266C22×D4—64no—
267C22×D4—64no—
268C22×D4—64no—
269C22×D4—64no—
270C22×D4—68no—
271C22×D4—62no—
272C22×D4—64no—
273C22×D4—122no—
274C22×D4—124no—
275C22×D4—124no—
276C23×C4—24no—
277C23×C4—24no—
278C23×C4—32no—
279C23×C4—32no—
280C23×C4—42no—
281C23×C4—64no—
282C23×C4—62no—
283C23×C4—64no—
284C23×C4—122no—
285C23×C4D1214yescomplemented
286C23×C4C22×D311yescharacteristic
287C23×C4C22×D314yes—
288C23×C4C22×D311yescharacteristic
289#121—632no—
290#120—664no—
291C2×C4⋊C4—64no—
292C2×C4⋊C4—62no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—38no—
296C2×C22⋊C4—64no—
297C2×C22⋊C4—68no—
298C2×C22⋊C4—64no—
299C2×C22⋊C4—64no—
300C2×C22⋊C4—68no—
301C2×C22⋊C4—64no—
302C2×C22⋊C4—632no—
303C2×C22⋊C4—64no—
304C2×C22⋊C4—64no—
305C2×C22⋊C4—68no—
306C2×C22⋊C4—64no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—68no—
309C2×C22⋊C4—68no—
310C2×C22⋊C4—124no—
311C2×C22⋊C4D1218yescomplemented
312#95—24no—
313#95—42no—
314#95—68no—
315C23×C3—22no—
316C23×C3—24no—
317C23×C3—22no—
318C23×C3—24no—
319C23×C3—22no—
320C23×C3—24no—
321C23×C3—22no—
322C23×C3—24no—
323C23×C3—28no—
324C23×C3—28no—
325C23×C3—28no—
326C23×C3—28no—
327C23×C3#12018yes—
328C23×C3#12014yes—
329C23×C3#12118yes—
330C23×C3#12114yes—
331C23×C3#12714yes—
332C23×C3C22×D411yescharacteristic
333C23×C3C22×D412yes—
334C23×C3C22×D411yescharacteristic
335C23×C3C22×D412yes—
336C23×C3C22×D412yes—
337C23×C3C2×#4111yescharacteristic
338C23×C3C2×#4112yes—
339C23×C3H(5,𝔽2)12yes—
340C23×C3H(5,𝔽2)12yes—
341C22×D3—232no—
342C22×D3—24no—
343C22×D3—28no—
344C22×D3—24no—
345C22×D3—24no—
346C22×D3—24no—
347C22×D3—24no—
348C22×D3—24no—
349C22×D3—28no—
350C22×D3—28no—
351C22×D3—28no—
352C22×D3—28no—
353C22×D3—28no—
354C22×D3—24no—
355C22×D3—24no—
356C22×D3—24no—
357C22×D3—28no—
358C22×D3—28no—
359C22×D3—464no—
360C22×D3—416no—
361C22×D3—416no—
362C22×D3—416no—
363C22×D3—464no—
364C22×D3—416no—
365C22×D3—416no—
366C22×D3—42no—
367C22×D3—44no—
368C22×D3—42no—
369C22×D3—42no—
370C22×D3—42no—
371C22×D3—44no—
372C22×D3—44no—
373C22×D3—44no—
374C22×D3—44no—
375C22×D3—44no—
376C22×D3—416no—
377C22×D3—42no—
378C22×D3—42no—
379C22×D3—44no—
380C22×D3—42no—
381C22×D3—42no—
382C22×D3—42no—
383C22×D3—44no—
384C22×D3—42no—
385C22×D3—42no—
386C22×D3—44no—
387C22×D3—42no—
388C22×D3—44no—
389C22×D3—44no—
390C22×D3—44no—
391C22×D3—44no—
392C22×D3—44no—
393C22×D3—44no—
394C22×D3—44no—
395C22×D3#12118yescomplemented
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—28no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—28no—
402C2×C3×C4—22no—
403C2×C3×C4—28no—
404C2×C3×C4—28no—
405C2×C3×C4—416no—
406C2×C3×C4—44no—
407C2×C3×C4—44no—
408C2×C3×C4—44no—
409C2×C3×C4—44no—
410C2×C3×C4—44no—
411C2×C3×C4#12014yescomplemented
412#67—432no—
413C2×Dic3—24no—
414C2×Dic3—24no—
415C2×Dic3—24no—
416C2×Dic3—24no—
417C2×Dic3—28no—
418C2×Dic3—416no—
419C2×Dic3—42no—
420C2×Dic3—42no—
421C2×Dic3—42no—
422C2×Dic3—42no—
423C2×Dic3—42no—
424C2×Dic3—42no—
425C2×Dic3—44no—
426D12—416no—
427D12—464no—
428C24—22no—
429C24—22no—
430C24—22no—
431C24—22no—
432C24—34no—
433C24—34no—
434C24—34no—
435C24—34no—
436C24—616no—
437C24—68no—
438C24—68no—
439C24—616no—
440C24—68no—
441C24—62no—
442C24—64no—
443C24—62no—
444C24—64no—
445C24—64no—
446C24—62no—
447C24—62no—
448C24—64no—
449C24—616no—
450C24—62no—
451C24—62no—
452C24—62no—
453C24—62no—
454C24—64no—
455C24—62no—
456C24—64no—
457C24—62no—
458C24—64no—
459C24—64no—
460C24—128no—
461C24—1216no—
462C24—1216no—
463C24—1216no—
464C24—1216no—
465C24—128no—
466C24—124no—
467C24—124no—
468C24—124no—
469C24—124no—
470C24—128no—
471C24C2×D1214yes—
472C24C2×D1212yes—
473C24D3×D412yes—
474C24D3×D414yes—
475C24#23912yes—
476C24C23×D311yescharacteristic
477C2×D4—632no—
478C2×D4—68no—
479C2×D4—616no—
480C2×D4—616no—
481C2×D4—616no—
482C2×D4—1216no—
483C2×D4—1216no—
484C2×D4—1216no—
485C2×D4—124no—
486C2×D4—1216no—
487C2×D4—1216no—
488C2×D4—1216no—
489C2×D4—1216no—
490C2×D4—128no—
491C2×D4—128no—
492C2×D4—128no—
493C2×D4—128no—
494C2×D4—124no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—28no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—28no—
508C22×C4—34no—
509C22×C4—34no—
510C22×C4—44no—
511C22×C4—416no—
512C22×C4—68no—
513C22×C4—62no—
514C22×C4—64no—
515C22×C4—62no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—62no—
520C22×C4—62no—
521C22×C4—62no—
522C22×C4—64no—
523C22×C4—1216no—
524C22×C4—124no—
525C22×C4—124no—
526C22×C4C2×D1218yes—
527C22×C4C2×D1212yes—
528C22×C4C2×D1212yes—
529C22×C4D3×D414yes—
530C4⋊C4—68no—
531C22⋊C4—216no—
532C22⋊C4—616no—
533C22⋊C4—632no—
534C22⋊C4—616no—
535C22⋊C4—616no—
536C22⋊C4—1216no—
537C22×C3—24no—
538C22×C3—24no—
539C22×C3—24no—
540C22×C3—24no—
541C22×C3—216no—
542C22×C3—216no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3#39218yescomplemented
546C22×C3C2×#12011yescharacteristic
547C22×C3C2×#12011yescharacteristic
548C22×C3C2×#12012yes—
549C22×C3C2×#12111yescharacteristic
550C22×C3C2×#12112yes—
551C22×C3C2×#12112yes—
552C22×C3#52511yescharacteristic
553C22×C3#52512yes—
554C22×C3C2×#12711yescharacteristic
555C22×C3#53411yescharacteristic
556C22×C3#53412yes—
557C22×C3#53511yescharacteristic
558C22×C3#53812yes—
559C22×C3D4214yes—
560C22×C3D4214yes—
561C22×C3#54614yes—
562C22×C3#54614yes—
563C2×D3—28no—
564C2×D3—216no—
565C2×D3—464no—
566C2×D3—44no—
567C2×D3—44no—
568C2×D3—44no—
569C2×D3—44no—
570C2×D3—48no—
571C2×D3—48no—
572C2×D3—48no—
573C2×D3—44no—
574C2×D3—44no—
575C2×D3—44no—
576C2×D3—44no—
577C2×D3—44no—
578C2×D3—48no—
579C2×D3—48no—
580C2×D3—82no—
581C2×D3—82no—
582C2×D3—84no—
583C2×D3—84no—
584C2×D3—82no—
585C2×D3—82no—
586C3×C4—24no—
587C3×C4—42no—
588C3×C4—48no—
589Dic3—44no—
590Dic3—44no—
591C23—24no—
592C23—28no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—28no—
598C23—28no—
599C23—28no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—38no—
604C23—632no—
605C23—68no—
606C23—64no—
607C23—68no—
608C23—64no—
609C23—64no—
610C23—68no—
611C23—68no—
612C23—68no—
613C23—64no—
614C23—68no—
615C23—64no—
616C23—64no—
617C23—68no—
618C23—64no—
619C23—64no—
620C23—64no—
621C23—68no—
622C23—1264no—
623C23—1216no—
624C23—1264no—
625C23—1216no—
626C23—1216no—
627C23—1216no—
628C23—1216no—
629C23—124no—
630C23—124no—
631C23—1216no—
632C23—122no—
633C23—122no—
634C23—122no—
635C23—124no—
636C23—122no—
637C23—124no—
638C23—124no—
639C23—124no—
640C23—124no—
641C23—124no—
642C23—122no—
643C23—122no—
644C23—122no—
645C23—122no—
646C23—122no—
647C23—122no—
648C23—122no—
649C23—122no—
650C23—124no—
651C23—124no—
652C23—124no—
653C23—124no—
654C23—124no—
655C23—124no—
656C23—124no—
657C23—124no—
658C23#87414yes—
659C23#88218yes—
660C23#88214yes—
661C23#89518yes—
662C23#89514yes—
663C23C22×D1211yescharacteristic
664C23C22×D1212yes—
665C23C2×D3×D412yes—
666C23C2×D3×D411yescharacteristic
667C23C2×D3×D412yes—
668C23#100412yes—
669C23C2×#23911yescharacteristic
670C23D3×#4112yes—
671C23#100912yes—
672D4—1216no—
673D4—1264no—
674D4—1232no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—416no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—64no—
691C2×C4—64no—
692C2×C4—64no—
693C2×C4—64no—
694C2×C4—68no—
695C2×C4—1216no—
696C2×C4—122no—
697C2×C4—122no—
698C2×C4—122no—
699C2×C4—122no—
700C2×C4—122no—
701C2×C4—122no—
702C2×C4—124no—
703C2×C4#88214yescomplemented
704C2×C3—28no—
705C2×C3C2×#39211yescharacteristic
706C2×C3#240311yescharacteristic
707C2×C3#240411yescharacteristic
708C2×C3#241014yes—
709C2×C3#242414yes—
710C2×C3#243311yescharacteristic
711C2×C3#253911yescharacteristic
712C2×C3#261711yescharacteristic
713C2×C3#284711yescharacteristic
714D3—48no—
715D3—84no—
716C22—24no—
717C22—24no—
718C22—216no—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—216no—
723C22—24no—
724C22—68no—
725C22—616no—
726C22—1264no—
727C22—124no—
728C22—128no—
729C22—128no—
730C22—124no—
731C22—124no—
732C22—124no—
733C22—128no—
734C22—124no—
735C22—124no—
736C22—128no—
737C22—124no—
738C22—128no—
739C22—124no—
740C22—124no—
741C22—242no—
742C22—242no—
743C22—244no—
744C22—242no—
745C22—242no—
746C22—244no—
747C22#467118yescomplemented
748C22C2×#87411yescharacteristic
749C22C2×#88211yescharacteristic
750C22C2×#88211yescharacteristic
751C22C2×#88212yes—
752C22#549311yescharacteristic
753C22C2×#89511yescharacteristic
754C22C2×#89512yes—
755C22#552411yescharacteristic
756C22#552511yescharacteristic
757C22D4×D1214yes—
758C22#555414yes—
759C22#559014yes—
760C22D3×#12112yes—
761C22#560512yes—
762C22#562712yes—
763C22#564412yes—
764C22#565414yes—
765C4—24no—
766C4—42no—
767C4—48no—
768C4—124no—
769C4—124no—
770C3#1471611yescharacteristic, complemented, Sylow
771C2—28no—
772C2—128no—
773C2—244no—
774C2C2×#467111yescharacteristic
775C2#7358711yescharacteristic
776C2#7359711yescharacteristic
777C2#7385211yescharacteristic
778C2#7403111yescharacteristic
779C2#7404811yescharacteristic
780C2#7412511yescharacteristic
781C2#7460514yes—
782C2#7488814yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×C22⋊#95C2
hypercenterC22⋊#95D3
hypocenterC3#14716
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
1. C22×#930C2semidirect
2. C23×(C2×D3)⋊C4C2semidirect
3. C22×#882C2semidirect
4. C2×#4958C2semidirect
5. C2×#4671C2semidirect
6. C3×C22⋊#95C2semidirect
7. #69427C2semidirect
8. #69426C2semidirect
15. C23×D12C22semidirect
24. C22×(C2×D3)⋊C4C22semidirect
25. C22×(C2×D3)⋊C4C22semidirect
26. C22×C4⋊Dic3C22semidirect
30. C2×C3×#95C22semidirect
31. C2×C3×#95C22semidirect
32. C2×C3⋊#95C22semidirect
42. C22⋊#95D3semidirect
52. C24×D3D4semidirect
58. C23×C3×C4D4semidirect
68. C22×#67D4semidirect
88. C2×C3×C22⋊C4D4semidirect
105. C2×(C2×D3)⋊C4D4semidirect
135. C2×#95C2×D3semidirect
136. C2×#95C2×D3semidirect
285. C23×C4D12semidirect
311. C2×C22⋊C4D12semidirect
395. C22×D3#121semidirect
411. C2×C3×C4#120semidirect
545. C22×C3#392semidirect
703. C2×C4#882semidirect
747. C22#4671semidirect
770. C3#14716semidirect

Maximal subgroups

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

subgroupindex
C22×#9302
C23×(C2×D3)⋊C42
C22×#8822
C2×#49582
C2×#46712
C3×C22⋊#952
#694272
#694262
#147163