Finite Group Databasebeta

← #10729019

Subgroups — #10729019

Order 768.

4146 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#937C211yesmaximal, characteristic
2C22×#935C211yesmaximal, characteristic, complemented
3C23×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
4C2×C3×#386C211yesmaximal, characteristic, complemented
5C2×#4955C211yesmaximal, characteristic, complemented
6C2×#4943C211yesmaximal, characteristic, complemented
7#72127C211yesmaximal, characteristic, complemented
8#71550C214yesmaximal, complemented
9#69428C214yesmaximal, complemented
10#14911—31nomaximal, Sylow
11C25×D3C2211yescharacteristic
12C23×C3×D4C2211yescharacteristic
13C24×C3×C4C2211yescharacteristic
14C23×#67C2212yes—
15C24×Dic3C2211yescharacteristic
16C22×C3×C22⋊C4C2211yescharacteristic
17C22×C3×C22⋊C4C2212yescomplemented
18C22×#217C2211yescharacteristic
19C22×#217C2211yescharacteristic
20C22×#217C2212yescomplemented
21C2×#937—24no—
22C2×#937—24no—
23C2×#937—24no—
24C2×#935—24no—
25C2×#935—24no—
26C2×#935—24no—
27C22×(C2×D3)⋊C4—24no—
28C22×(C2×D3)⋊C4—24no—
29C22×(C2×D3)⋊C4—24no—
30C22×(C2×D3)⋊C4C2212yes—
31C22×(C2×D3)⋊C4C2214yes—
32C22×(C2×D3)⋊C4C2214yes—
33C22×Dic3⋊C4C2212yescomplemented
34C3×#386—24no—
35C2×C3×#95C2212yescomplemented
36C2×C3⋊#95C2214yescomplemented
37C2×C3⋊#95C2214yescomplemented
38#4955—24no—
39#4943—24no—
40C22×#123—31no—
41C22×#120—31no—
42C23×C22⋊C4—31no—
43C2×#386D311yescharacteristic, complemented
44C2×#381—31no—
45C2×#379—31no—
46#1439—34no—
47#1438—34no—
48C22⋊#95—31no—
49C25×C3C2311yescharacteristic
50C25×C3C2311yescharacteristic
51C24×D3—22no—
52C24×D3—22no—
53C24×D3—28no—
54C24×D3—22no—
55C24×D3—22no—
56C24×D3—22no—
57C24×D3—22no—
58C24×D3—44no—
59C24×D3D414yes—
60C24×D3C2312yes—
61C22×C3×D4—22no—
62C22×C3×D4—22no—
63C22×C3×D4—22no—
64C22×C3×D4—22no—
65C22×C3×D4—22no—
66C22×C3×D4—22no—
67C22×C3×D4D414yes—
68C23×C3×C4—22no—
69C23×C3×C4—22no—
70C23×C3×C4—44no—
71C23×C3×C4D414yescomplemented
72C23×C3×C4C2312yes—
73C23×C3×C4C2312yes—
74C23×C3×C4C2311yescharacteristic
75C22×#67—24no—
76C22×#67—24no—
77C22×#67—28no—
78C22×#67—24no—
79C22×#67—44no—
80C23×Dic3—22no—
81C23×Dic3—22no—
82C23×Dic3—22no—
83C23×Dic3—22no—
84C23×Dic3—22no—
85C23×Dic3—22no—
86C23×Dic3D414yescomplemented
87C23×Dic3C2312yes—
88C23×Dic3C2312yes—
89C23×Dic3C2312yes—
90C2×C3×C22⋊C4—22no—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4—24no—
94C2×C3×C22⋊C4—44no—
95C2×#217—22no—
96C2×#217—22no—
97C2×#217—24no—
98C2×#217—22no—
99C2×#217—22no—
100C2×#217—24no—
101C2×#217—24no—
102C2×#217D414yes—
103C2×#217D414yescomplemented
104#937—232no—
105#935—232no—
106C2×(C2×D3)⋊C4—232no—
107C2×(C2×D3)⋊C4—28no—
108C2×(C2×D3)⋊C4—24no—
109C2×(C2×D3)⋊C4—28no—
110C2×(C2×D3)⋊C4—24no—
111C2×(C2×D3)⋊C4—28no—
112C2×(C2×D3)⋊C4—24no—
113C2×(C2×D3)⋊C4—28no—
114C2×(C2×D3)⋊C4—28no—
115C2×(C2×D3)⋊C4—44no—
116C2×Dic3⋊C4—24no—
117C2×Dic3⋊C4—24no—
118C2×Dic3⋊C4—24no—
119C3×#95—24no—
120C3⋊#95—28no—
121C3⋊#95—44no—
122C26—31no—
123C23×D4—32no—
124C23×D4C2×D311yescharacteristic
125C24×C4—31no—
126C24×C4C2×D311yescharacteristic
127C2×#123—64no—
128C2×#123—64no—
129C2×#123—64no—
130C2×#120—64no—
131C2×#120—64no—
132C2×#120—64no—
133C22×C4⋊C4—32no—
134C22×C22⋊C4—31no—
135C22×C22⋊C4—31no—
136C22×C22⋊C4—32no—
137C22×C22⋊C4—34no—
138C22×C22⋊C4—32no—
139C22×C22⋊C4—34no—
140C22×C22⋊C4—64no—
141C22×C22⋊C4—64no—
142C22×C22⋊C4—64no—
143C22×C22⋊C4C2×D311yescharacteristic
144C22×C22⋊C4C2×D312yescomplemented
145#386—24no—
146#381—64no—
147#379—64no—
148C2×#95—34no—
149C2×#95—34no—
150C2×#95C2×D312yescomplemented
151C24×C3—24no—
152C24×C3—24no—
153C24×C3—21no—
154C24×C3—21no—
155C24×C3—21no—
156C24×C3—21no—
157C24×C3—21no—
158C24×C3—24no—
159C24×C3—21no—
160C24×C3—24no—
161C24×C3C2×D412yes—
162C24×C3C2×D412yes—
163C24×C3C2×D412yes—
164C24×C3C2×D412yes—
165C24×C3C2×D412yes—
166C24×C3C2×D412yes—
167C24×C3C2×D412yes—
168C24×C3#4112yes—
169C24×C3C2411yescharacteristic
170C23×D3—216no—
171C23×D3—216no—
172C23×D3—28no—
173C23×D3—22no—
174C23×D3—22no—
175C23×D3—22no—
176C23×D3—22no—
177C23×D3—22no—
178C23×D3—22no—
179C23×D3—24no—
180C23×D3—24no—
181C23×D3—24no—
182C23×D3—216no—
183C23×D3—28no—
184C23×D3—28no—
185C23×D3—48no—
186C23×D3—416no—
187C23×D3—416no—
188C23×D3—416no—
189C23×D3—416no—
190C23×D3—48no—
191C23×D3—48no—
192C23×D3—44no—
193C23×D3—44no—
194C23×D3—44no—
195C23×D3—44no—
196C23×D3C2×D414yes—
197C23×D3#4118yes—
198C2×C3×D4—28no—
199C2×C3×D4—28no—
200C2×C3×D4—28no—
201C2×C3×D4—44no—
202C2×C3×D4—44no—
203C2×C3×D4—44no—
204C2×C3×D4—44no—
205C22×C3×C4—28no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—22no—
210C22×C3×C4—22no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—24no—
215C22×C3×C4—24no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—24no—
220C22×C3×C4—24no—
221C22×C3×C4—48no—
222C22×C3×C4—48no—
223C22×C3×C4—48no—
224C22×C3×C4C2×D412yes—
225C22×C3×C4C2×D414yes—
226C2×#67—216no—
227C2×#67—416no—
228C2×#67—416no—
229C2×#67—48no—
230C2×#67—48no—
231C22×Dic3—28no—
232C22×Dic3—28no—
233C22×Dic3—28no—
234C22×Dic3—22no—
235C22×Dic3—22no—
236C22×Dic3—22no—
237C22×Dic3—22no—
238C22×Dic3—22no—
239C22×Dic3—22no—
240C22×Dic3—22no—
241C22×Dic3—22no—
242C22×Dic3—22no—
243C22×Dic3—24no—
244C22×Dic3—22no—
245C22×Dic3—24no—
246C22×Dic3—24no—
247C22×Dic3—24no—
248C22×Dic3—44no—
249C22×Dic3—44no—
250C22×Dic3—44no—
251C22×Dic3—44no—
252C22×Dic3C2×D414yes—
253C22×Dic3C2×D414yes—
254C22×Dic3C2×D414yes—
255C3×C22⋊C4—48no—
256C3×C22⋊C4—44no—
257#217—216no—
258#217—28no—
259#217—28no—
260(C2×D3)⋊C4—232no—
261(C2×D3)⋊C4—216no—
262(C2×D3)⋊C4—416no—
263Dic3⋊C4—216no—
264C25—32no—
265C25—34no—
266C25—68no—
267C25—62no—
268C25—62no—
269C25—62no—
270C25—62no—
271C25—62no—
272C25—62no—
273C25—124no—
274C25C22×D311yescharacteristic
275C25C22×D311yescharacteristic
276C22×D4—22no—
277C22×D4—22no—
278C22×D4—22no—
279C22×D4—22no—
280C22×D4—22no—
281C22×D4—22no—
282C22×D4—64no—
283C22×D4—64no—
284C22×D4—64no—
285C22×D4—68no—
286C22×D4—124no—
287C22×D4D1214yes—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—34no—
291C23×C4—32no—
292C23×C4—32no—
293C23×C4—32no—
294C23×C4—44no—
295C23×C4—62no—
296C23×C4—62no—
297C23×C4—62no—
298C23×C4—62no—
299C23×C4—62no—
300C23×C4—62no—
301C23×C4#6714yescomplemented
302C23×C4C22×D312yes—
303C23×C4C22×D311yescharacteristic
304C23×C4C22×D312yes—
305#123—632no—
306#120—632no—
307C2×C4⋊C4—64no—
308C2×C4⋊C4—64no—
309C2×C4⋊C4—64no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—34no—
315C2×C22⋊C4—34no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—68no—
318C2×C22⋊C4—64no—
319C2×C22⋊C4—68no—
320C2×C22⋊C4—64no—
321C2×C22⋊C4—632no—
322C2×C22⋊C4—64no—
323C2×C22⋊C4—64no—
324C2×C22⋊C4—62no—
325C2×C22⋊C4—64no—
326C2×C22⋊C4—62no—
327C2×C22⋊C4—62no—
328C2×C22⋊C4—62no—
329C2×C22⋊C4—64no—
330C2×C22⋊C4—68no—
331C2×C22⋊C4—68no—
332C2×C22⋊C4—68no—
333C2×C22⋊C4—124no—
334#95—24no—
335#95—68no—
336#95—124no—
337C23×C3—24no—
338C23×C3—24no—
339C23×C3—24no—
340C23×C3—24no—
341C23×C3—24no—
342C23×C3—24no—
343C23×C3—28no—
344C23×C3—28no—
345C23×C3—28no—
346C23×C3—28no—
347C23×C3—22no—
348C23×C3—22no—
349C23×C3—22no—
350C23×C3—28no—
351C23×C3—41no—
352C23×C3—41no—
353C23×C3—41no—
354C23×C3—42no—
355C23×C3—42no—
356C23×C3—42no—
357C23×C3—41no—
358C23×C3—42no—
359C23×C3—42no—
360C23×C3—42no—
361C23×C3—44no—
362C23×C3—44no—
363C23×C3—44no—
364C23×C3#12014yes—
365C23×C3#12014yes—
366C23×C3#12014yes—
367C23×C3#12114yes—
368C23×C3#12114yes—
369C23×C3#12114yes—
370C23×C3#12714yes—
371C23×C3C22×D411yescharacteristic
372C23×C3C22×D411yescharacteristic
373C23×C3C22×D411yescharacteristic
374C23×C3C22×D411yescharacteristic
375C23×C3C22×D411yescharacteristic
376C23×C3C22×D411yescharacteristic
377C23×C3C2×#4111yescharacteristic
378C23×C3C2×#4114yes—
379C23×C3H(5,𝔽2)14yes—
380C22×D3—232no—
381C22×D3—24no—
382C22×D3—24no—
383C22×D3—24no—
384C22×D3—24no—
385C22×D3—28no—
386C22×D3—28no—
387C22×D3—24no—
388C22×D3—24no—
389C22×D3—28no—
390C22×D3—28no—
391C22×D3—28no—
392C22×D3—28no—
393C22×D3—432no—
394C22×D3—432no—
395C22×D3—416no—
396C22×D3—432no—
397C22×D3—432no—
398C22×D3—432no—
399C22×D3—432no—
400C22×D3—42no—
401C22×D3—42no—
402C22×D3—42no—
403C22×D3—42no—
404C22×D3—44no—
405C22×D3—44no—
406C22×D3—44no—
407C22×D3—44no—
408C22×D3—44no—
409C22×D3—44no—
410C22×D3—416no—
411C22×D3#12318yescomplemented
412C3×D4—416no—
413C2×C3×C4—22no—
414C2×C3×C4—24no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—24no—
418C2×C3×C4—24no—
419C2×C3×C4—416no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—44no—
425C2×C3×C4—44no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—42no—
429C2×C3×C4—44no—
430C2×C3×C4—44no—
431#67—432no—
432C2×Dic3—24no—
433C2×Dic3—24no—
434C2×Dic3—24no—
435C2×Dic3—24no—
436C2×Dic3—24no—
437C2×Dic3—28no—
438C2×Dic3—28no—
439C2×Dic3—42no—
440C2×Dic3—42no—
441C2×Dic3—42no—
442C2×Dic3—42no—
443C2×Dic3—42no—
444C2×Dic3—42no—
445C2×Dic3—42no—
446C2×Dic3—42no—
447C2×Dic3—44no—
448C2×Dic3—44no—
449C2×Dic3—416no—
450C24—24no—
451C24—24no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24—21no—
456C24—21no—
457C24—24no—
458C24—24no—
459C24—21no—
460C24—34no—
461C24—38no—
462C24—616no—
463C24—616no—
464C24—616no—
465C24—68no—
466C24—62no—
467C24—62no—
468C24—62no—
469C24—62no—
470C24—62no—
471C24—64no—
472C24—64no—
473C24—64no—
474C24—62no—
475C24—68no—
476C24—68no—
477C24—128no—
478C24—1216no—
479C24—1216no—
480C24—1216no—
481C24—1216no—
482C24—128no—
483C24—128no—
484C24—124no—
485C24—124no—
486C24—124no—
487C24—124no—
488C24C2×D1212yes—
489C24C2×D1212yes—
490C24#23512yes—
491C24D3×D412yes—
492C24D3×D412yes—
493C24D3×D412yes—
494C24D3×D412yes—
495C24C2×#6712yes—
496C24C23×D311yescharacteristic
497C2×D4—28no—
498C2×D4—28no—
499C2×D4—28no—
500C2×D4—44no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—616no—
505C2×D4—1216no—
506C2×D4—1216no—
507C2×D4—128no—
508C2×D4—128no—
509C22×C4—28no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—24no—
523C22×C4—24no—
524C22×C4—22no—
525C22×C4—34no—
526C22×C4—34no—
527C22×C4—34no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—68no—
532C22×C4—68no—
533C22×C4—68no—
534C22×C4—62no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—62no—
539C22×C4—62no—
540C22×C4—62no—
541C22×C4—62no—
542C22×C4—62no—
543C22×C4—64no—
544C22×C4—64no—
545C22×C4—64no—
546C22×C4—64no—
547C22×C4—62no—
548C22×C4—124no—
549C22×C4—124no—
550C22×C4—124no—
551C22×C4—124no—
552C22×C4C2×D1212yes—
553C22×C4C2×#6714yes—
554C4⋊C4—616no—
555C22⋊C4—48no—
556C22⋊C4—44no—
557C22⋊C4—632no—
558C22⋊C4—616no—
559C22⋊C4—616no—
560C22⋊C4—68no—
561C22⋊C4—68no—
562C22⋊C4—1216no—
563C22×C3—24no—
564C22×C3—24no—
565C22×C3—28no—
566C22×C3—28no—
567C22×C3—28no—
568C22×C3—28no—
569C22×C3—28no—
570C22×C3—28no—
571C22×C3—42no—
572C22×C3—44no—
573C22×C3—44no—
574C22×C3—44no—
575C22×C3—81no—
576C22×C3—81no—
577C22×C3—82no—
578C22×C3—82no—
579C22×C3—82no—
580C22×C3#39218yes—
581C22×C3C2×#12011yescharacteristic
582C22×C3C2×#12011yescharacteristic
583C22×C3C2×#12011yescharacteristic
584C22×C3C2×#12111yescharacteristic
585C22×C3C2×#12111yescharacteristic
586C22×C3C2×#12111yescharacteristic
587C22×C3C2×#12312yes—
588C22×C3#52512yes—
589C22×C3#52512yes—
590C22×C3C2×#12711yescharacteristic
591C22×C3#53412yes—
592C22×C3#53412yes—
593C22×C3#53512yes—
594C22×C3#54614yes—
595C22×C3#54614yes—
596C22×C3#54614yes—
597C22×C3#55114yes—
598C2×D3—28no—
599C2×D3—28no—
600C2×D3—28no—
601C2×D3—464no—
602C2×D3—44no—
603C2×D3—44no—
604C2×D3—48no—
605C2×D3—44no—
606C2×D3—48no—
607C2×D3—44no—
608C2×D3—48no—
609C2×D3—48no—
610C3×C4—44no—
611C3×C4—42no—
612C3×C4—82no—
613Dic3—44no—
614Dic3—44no—
615Dic3—44no—
616C23—24no—
617C23—24no—
618C23—24no—
619C23—28no—
620C23—28no—
621C23—24no—
622C23—24no—
623C23—24no—
624C23—28no—
625C23—28no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—28no—
630C23—38no—
631C23—42no—
632C23—42no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—41no—
637C23—42no—
638C23—44no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—44no—
643C23—44no—
644C23—632no—
645C23—64no—
646C23—68no—
647C23—64no—
648C23—64no—
649C23—64no—
650C23—68no—
651C23—68no—
652C23—68no—
653C23—64no—
654C23—64no—
655C23—68no—
656C23—68no—
657C23—1232no—
658C23—1232no—
659C23—1232no—
660C23—1232no—
661C23—1232no—
662C23—1216no—
663C23—1232no—
664C23—1216no—
665C23—122no—
666C23—122no—
667C23—122no—
668C23—122no—
669C23—124no—
670C23—124no—
671C23—124no—
672C23—124no—
673C23—124no—
674C23—124no—
675C23#88214yes—
676C23#88214yes—
677C23#88414yes—
678C23#88414yes—
679C23#93014yes—
680C23#93714yes—
681C23#94014yes—
682C23C22×D1211yescharacteristic
683C23C2×#23511yescharacteristic
684C23C2×D3×D411yescharacteristic
685C23C2×D3×D411yescharacteristic
686C23C2×D3×D411yescharacteristic
687C23C2×D3×D411yescharacteristic
688C23#100414yes—
689C23D3×#4114yes—
690C23C22×#6711yescharacteristic
691D4—416no—
692D4—1232no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—416no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—64no—
712C2×C4—64no—
713C2×C4—64no—
714C2×C4—64no—
715C2×C4—64no—
716C2×C4—68no—
717C2×C4—68no—
718C2×C4—122no—
719C2×C4—122no—
720C2×C4—1216no—
721C2×C4—122no—
722C2×C4—122no—
723C2×C4—122no—
724C2×C4—122no—
725C2×C4—124no—
726C2×C4—124no—
727C2×C4—122no—
728C2×C4—122no—
729C2×C3—28no—
730C2×C3—82no—
731C2×C3C2×#39211yescharacteristic
732C2×C3#240412yes—
733C2×C3#240512yes—
734C2×C3#241112yes—
735C2×C3#241212yes—
736C2×C3#253412yes—
737C2×C3#253912yes—
738C2×C3#261311yescharacteristic
739C2×C3#284911yescharacteristic
740D3—48no—
741C22—28no—
742C22—28no—
743C22—28no—
744C22—24no—
745C22—28no—
746C22—28no—
747C22—24no—
748C22—28no—
749C22—44no—
750C22—44no—
751C22—42no—
752C22—44no—
753C22—68no—
754C22—68no—
755C22—68no—
756C22—82no—
757C22—82no—
758C22—81no—
759C22—82no—
760C22—81no—
761C22—1264no—
762C22—128no—
763C22—128no—
764C22—128no—
765C22—124no—
766C22—124no—
767C22—124no—
768C22—124no—
769C22—128no—
770C22#496018yes—
771C22C2×#88211yescharacteristic
772C22C2×#88211yescharacteristic
773C22C2×#88411yescharacteristic
774C22C2×#88411yescharacteristic
775C22#555414yes—
776C22#555614yes—
777C22#558912yes—
778C22#559212yes—
779C22#561014yes—
780C22#561014yes—
781C22D3×#12312yes—
782C22#565612yes—
783C22C2×#93011yescharacteristic
784C22C2×#93711yescharacteristic
785C22C2×#94011yescharacteristic
786C22#580412yes—
787C22#582812yes—
788C4—44no—
789C4—42no—
790C4—82no—
791C4—124no—
792C4—124no—
793C4—124no—
794C3#1491111yescharacteristic, complemented, Sylow
795C2—28no—
796C2—82no—
797C2—128no—
798C2#7468612yes—
799C2#7469012yes—
800C2#7488512yes—
801C2#7488912yes—
802C2C2×#496011yescharacteristic
803C2#8241412yes—
804C2#8260711yescharacteristic
805C2#8270812yes—
806C2#8291211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#386C2
prime radicalC22×#937C2
hypercenterC2×#386D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
2. C22×#935C2semidirect
3. C23×(C2×D3)⋊C4C2semidirect
4. C2×C3×#386C2semidirect
5. C2×#4955C2semidirect
6. C2×#4943C2semidirect
7. #72127C2semidirect
8. #71550C2semidirect
9. #69428C2semidirect
17. C22×C3×C22⋊C4C22semidirect
20. C22×#217C22semidirect
33. C22×Dic3⋊C4C22semidirect
35. C2×C3×#95C22semidirect
36. C2×C3⋊#95C22semidirect
37. C2×C3⋊#95C22semidirect
43. C2×#386D3semidirect
71. C23×C3×C4D4semidirect
86. C23×Dic3D4semidirect
103. C2×#217D4semidirect
144. C22×C22⋊C4C2×D3semidirect
150. C2×#95C2×D3semidirect
301. C23×C4#67semidirect
411. C22×D3#123semidirect
794. C3#14911semidirect

Maximal subgroups

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

subgroupindex
C22×#9372
C22×#9352
C23×(C2×D3)⋊C42
C2×C3×#3862
C2×#49552
C2×#49432
#721272
#715502
#694282
#149113