Finite Group Databasebeta

← #10729023

Subgroups — #10729023

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×#953C211yesmaximal, characteristic
2C23×#217C211yesmaximal, characteristic, complemented
3C22×#886C211yesmaximal, characteristic, complemented
4C2×C3×#379C211yesmaximal, characteristic, complemented
5C2×#4958C211yesmaximal, characteristic, complemented
6C2×#4943C211yesmaximal, characteristic, complemented
7#71550C214yesmaximal, complemented
8#71546C214yesmaximal, complemented
9#71544C211yesmaximal, characteristic, complemented
10#14911—31nomaximal, Sylow
11C26×C3C2211yescharacteristic
12C23×#67C2211yescharacteristic
13C23×#67C2212yes—
14C24×Dic3C2211yescharacteristic
15C24×Dic3C2211yescharacteristic
16C22×C3×C22⋊C4C2211yescharacteristic
17C22×C3×C22⋊C4C2214yes—
18C22×C3×C22⋊C4C2211yescharacteristic
19C2×#953—24no—
20C2×#953—24no—
21C2×#953—24no—
22C22×#217—24no—
23C22×#217—24no—
24C22×#217—24no—
25C22×#217C2214yes—
26C22×#217C2212yes—
27C22×#217C2211yescharacteristic
28C22×(C2×D3)⋊C4C2212yescomplemented
29C22×(C2×D3)⋊C4C2212yescomplemented
30C22×C4⋊Dic3C2212yescomplemented
31C2×#886—24no—
32C2×#886—24no—
33C2×#886—24no—
34C3×#379—24no—
35C2×C3⋊#95C2212yescomplemented
36C2×C3⋊#95C2214yescomplemented
37C2×C3⋊#95C2214yescomplemented
38#4958—24no—
39#4943—24no—
40C22×#123—31no—
41C22×#120—31no—
42C23×C22⋊C4—31no—
43C2×#386—31no—
44C2×#381—31no—
45C2×#379D311yescharacteristic, complemented
46#1439—34no—
47#1438—34no—
48C22⋊#95—31no—
49C25×C3—22no—
50C25×C3—22no—
51C25×C3—28no—
52C25×C3—22no—
53C25×C3—22no—
54C25×C3—22no—
55C25×C3—22no—
56C25×C3—44no—
57C25×C3D414yes—
58C25×C3C2312yes—
59C25×C3C2311yescharacteristic
60C24×D3C2311yescharacteristic
61C23×C3×C4C2312yes—
62C23×C3×C4C2312yes—
63C22×#67—22no—
64C22×#67—22no—
65C22×#67—22no—
66C22×#67—24no—
67C22×#67—22no—
68C22×#67—22no—
69C22×#67—22no—
70C22×#67—24no—
71C22×#67—28no—
72C22×#67—24no—
73C22×#67—44no—
74C22×#67D414yes—
75C23×Dic3—22no—
76C23×Dic3—22no—
77C23×Dic3—22no—
78C23×Dic3—22no—
79C23×Dic3—22no—
80C23×Dic3—22no—
81C23×Dic3—22no—
82C23×Dic3—22no—
83C23×Dic3—44no—
84C23×Dic3D414yescomplemented
85C23×Dic3D414yescomplemented
86C23×Dic3C2312yes—
87C23×Dic3C2312yes—
88C23×Dic3C2312yes—
89C23×Dic3C2311yescharacteristic
90C2×C3×C22⋊C4—22no—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4—22no—
94C2×C3×C22⋊C4—22no—
95C2×C3×C22⋊C4—28no—
96C2×C3×C22⋊C4—28no—
97C2×C3×C22⋊C4—44no—
98C2×C3×C22⋊C4D414yescomplemented
99#953—232no—
100C2×#217—232no—
101C2×#217—28no—
102C2×#217—24no—
103C2×#217—22no—
104C2×#217—22no—
105C2×#217—28no—
106C2×#217—28no—
107C2×#217—24no—
108C2×#217—24no—
109C2×#217D414yes—
110C2×(C2×D3)⋊C4—24no—
111C2×(C2×D3)⋊C4—24no—
112C2×(C2×D3)⋊C4—24no—
113C2×(C2×D3)⋊C4—24no—
114C2×(C2×D3)⋊C4—44no—
115C2×C4⋊Dic3—24no—
116C2×C4⋊Dic3—24no—
117C2×C4⋊Dic3—24no—
118#886—232no—
119C3⋊#95—28no—
120C3⋊#95—24no—
121C3⋊#95—44no—
122C26C2×D311yescharacteristic
123C23×D4—31no—
124C23×D4—32no—
125C24×C4—31no—
126C24×C4—31no—
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—34no—
136C22×C22⋊C4—32no—
137C22×C22⋊C4—32no—
138C22×C22⋊C4—32no—
139C22×C22⋊C4—64no—
140C22×C22⋊C4—64no—
141C22×C22⋊C4—64no—
142C22×C22⋊C4C2×D311yescharacteristic
143C22×C22⋊C4C2×D314yes—
144C22×C22⋊C4C2×D311yescharacteristic
145#386—64no—
146#381—64no—
147#379—24no—
148C2×#95—34no—
149C2×#95—32no—
150C2×#95—34no—
151C24×C3—24no—
152C24×C3—24no—
153C24×C3—216no—
154C24×C3—216no—
155C24×C3—28no—
156C24×C3—216no—
157C24×C3—22no—
158C24×C3—22no—
159C24×C3—22no—
160C24×C3—22no—
161C24×C3—22no—
162C24×C3—22no—
163C24×C3—24no—
164C24×C3—24no—
165C24×C3—24no—
166C24×C3—28no—
167C24×C3—28no—
168C24×C3—48no—
169C24×C3—416no—
170C24×C3—416no—
171C24×C3—416no—
172C24×C3—416no—
173C24×C3—48no—
174C24×C3—48no—
175C24×C3—44no—
176C24×C3—44no—
177C24×C3—44no—
178C24×C3—44no—
179C24×C3C2×D414yes—
180C24×C3C2×D412yes—
181C24×C3C2×D412yes—
182C24×C3C2×D412yes—
183C24×C3C2×D412yes—
184C24×C3C2×D412yes—
185C24×C3C2×D412yes—
186C24×C3#4112yes—
187C24×C3#4118yes—
188C24×C3C2411yescharacteristic
189C23×D3—21no—
190C23×D3—21no—
191C23×D3—21no—
192C23×D3—21no—
193C23×D3—21no—
194C23×D3—21no—
195C23×D3—24no—
196C23×D3—24no—
197C23×D3C2×D412yes—
198C22×C3×C4—22no—
199C22×C3×C4—22no—
200C22×C3×C4—24no—
201C22×C3×C4—24no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—24no—
206C22×C3×C4—24no—
207C22×C3×C4C2×D414yes—
208C2×#67—216no—
209C2×#67—28no—
210C2×#67—28no—
211C2×#67—28no—
212C2×#67—416no—
213C2×#67—416no—
214C2×#67—48no—
215C2×#67—44no—
216C2×#67—44no—
217C2×#67—44no—
218C2×#67—48no—
219C2×#67—44no—
220C22×Dic3—28no—
221C22×Dic3—28no—
222C22×Dic3—28no—
223C22×Dic3—28no—
224C22×Dic3—22no—
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—22no—
229C22×Dic3—22no—
230C22×Dic3—22no—
231C22×Dic3—22no—
232C22×Dic3—22no—
233C22×Dic3—22no—
234C22×Dic3—21no—
235C22×Dic3—22no—
236C22×Dic3—21no—
237C22×Dic3—22no—
238C22×Dic3—22no—
239C22×Dic3—21no—
240C22×Dic3—24no—
241C22×Dic3—24no—
242C22×Dic3—24no—
243C22×Dic3—24no—
244C22×Dic3—48no—
245C22×Dic3—48no—
246C22×Dic3—48no—
247C22×Dic3—44no—
248C22×Dic3—44no—
249C22×Dic3—44no—
250C22×Dic3—44no—
251C22×Dic3C2×D414yes—
252C22×Dic3C2×D414yes—
253C22×Dic3C2×D412yes—
254C22×Dic3C2×D414yes—
255C3×C22⋊C4—28no—
256C3×C22⋊C4—416no—
257C3×C22⋊C4—44no—
258#217—232no—
259#217—216no—
260#217—28no—
261(C2×D3)⋊C4—216no—
262(C2×D3)⋊C4—48no—
263C4⋊Dic3—216no—
264C25—22no—
265C25—22no—
266C25—28no—
267C25—22no—
268C25—22no—
269C25—22no—
270C25—22no—
271C25—31no—
272C25—44no—
273C25D1214yes—
274C25C22×D312yes—
275C25C22×D311yescharacteristic
276C22×D4—34no—
277C22×D4—64no—
278C22×D4—64no—
279C22×D4—64no—
280C22×D4—62no—
281C22×D4—62no—
282C22×D4—62no—
283C22×D4—62no—
284C22×D4—62no—
285C22×D4—62no—
286C22×D4—68no—
287C22×D4—124no—
288C23×C4—34no—
289C23×C4—32no—
290C23×C4—32no—
291C23×C4—31no—
292C23×C4—32no—
293C23×C4—34no—
294C23×C4—62no—
295C23×C4—62no—
296C23×C4—62no—
297C23×C4—62no—
298C23×C4—62no—
299C23×C4—62no—
300C23×C4—62no—
301C23×C4—62no—
302C23×C4—124no—
303C23×C4C22×D312yes—
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—22no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—22no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—34no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—64no—
320C2×C22⋊C4—64no—
321C2×C22⋊C4—68no—
322C2×C22⋊C4—68no—
323C2×C22⋊C4—64no—
324C2×C22⋊C4—64no—
325C2×C22⋊C4—632no—
326C2×C22⋊C4—68no—
327C2×C22⋊C4—64no—
328C2×C22⋊C4—62no—
329C2×C22⋊C4—62no—
330C2×C22⋊C4—64no—
331C2×C22⋊C4—64no—
332C2×C22⋊C4—124no—
333C2×C22⋊C4#6714yescomplemented
334#95—68no—
335#95—64no—
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—232no—
348C23×C3—24no—
349C23×C3—24no—
350C23×C3—24no—
351C23×C3—24no—
352C23×C3—28no—
353C23×C3—28no—
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—28no—
357C23×C3—28no—
358C23×C3—28no—
359C23×C3—28no—
360C23×C3—432no—
361C23×C3—432no—
362C23×C3—416no—
363C23×C3—432no—
364C23×C3—432no—
365C23×C3—432no—
366C23×C3—432no—
367C23×C3—42no—
368C23×C3—42no—
369C23×C3—42no—
370C23×C3—42no—
371C23×C3—44no—
372C23×C3—44no—
373C23×C3—44no—
374C23×C3—44no—
375C23×C3—44no—
376C23×C3—44no—
377C23×C3—416no—
378C23×C3#12014yes—
379C23×C3#12014yes—
380C23×C3#12014yes—
381C23×C3#12114yes—
382C23×C3#12114yes—
383C23×C3#12114yes—
384C23×C3#12318yescomplemented
385C23×C3#12714yes—
386C23×C3C22×D411yescharacteristic
387C23×C3C22×D411yescharacteristic
388C23×C3C22×D411yescharacteristic
389C23×C3C22×D411yescharacteristic
390C23×C3C22×D411yescharacteristic
391C23×C3C22×D411yescharacteristic
392C23×C3C2×#4111yescharacteristic
393C23×C3C2×#4114yes—
394C23×C3H(5,𝔽2)14yes—
395C22×D3—22no—
396C22×D3—22no—
397C22×D3—22no—
398C22×D3—28no—
399C22×D3—41no—
400C22×D3—41no—
401C22×D3—41no—
402C22×D3—42no—
403C22×D3—42no—
404C22×D3—42no—
405C22×D3—41no—
406C22×D3—42no—
407C22×D3—42no—
408C22×D3—42no—
409C22×D3—44no—
410C22×D3—44no—
411C22×D3—44no—
412C2×C3×C4—24no—
413C2×C3×C4—28no—
414C2×C3×C4—42no—
415C2×C3×C4—42no—
416C2×C3×C4—44no—
417C2×C3×C4—42no—
418C2×C3×C4—42no—
419C2×C3×C4—42no—
420C2×C3×C4—44no—
421C2×C3×C4—44no—
422#67—432no—
423#67—416no—
424C2×Dic3—22no—
425C2×Dic3—24no—
426C2×Dic3—24no—
427C2×Dic3—24no—
428C2×Dic3—22no—
429C2×Dic3—24no—
430C2×Dic3—24no—
431C2×Dic3—22no—
432C2×Dic3—24no—
433C2×Dic3—24no—
434C2×Dic3—28no—
435C2×Dic3—416no—
436C2×Dic3—42no—
437C2×Dic3—41no—
438C2×Dic3—42no—
439C2×Dic3—42no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—42no—
443C2×Dic3—42no—
444C2×Dic3—41no—
445C2×Dic3—44no—
446C2×Dic3—42no—
447C2×Dic3—44no—
448C2×Dic3—44no—
449C2×Dic3—416no—
450C24—24no—
451C24—24no—
452C24—216no—
453C24—216no—
454C24—28no—
455C24—216no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—24no—
462C24—24no—
463C24—24no—
464C24—22no—
465C24—28no—
466C24—28no—
467C24—32no—
468C24—48no—
469C24—416no—
470C24—416no—
471C24—416no—
472C24—416no—
473C24—48no—
474C24—48no—
475C24—44no—
476C24—44no—
477C24—44no—
478C24—44no—
479C24—61no—
480C24—61no—
481C24—61no—
482C24—61no—
483C24—61no—
484C24—64no—
485C24—64no—
486C24—61no—
487C24C2×D1214yes—
488C24C2×D1212yes—
489C24#23512yes—
490C24D3×D412yes—
491C24D3×D412yes—
492C24D3×D412yes—
493C24D3×D412yes—
494C24#23718yes—
495C24C2×#6712yes—
496C24C23×D311yescharacteristic
497C2×D4—616no—
498C2×D4—68no—
499C2×D4—68no—
500C2×D4—68no—
501C2×D4—1216no—
502C2×D4—1216no—
503C2×D4—128no—
504C2×D4—124no—
505C2×D4—124no—
506C2×D4—128no—
507C2×D4—124no—
508C2×D4—124no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—34no—
519C22×C4—34no—
520C22×C4—34no—
521C22×C4—32no—
522C22×C4—68no—
523C22×C4—68no—
524C22×C4—68no—
525C22×C4—68no—
526C22×C4—62no—
527C22×C4—62no—
528C22×C4—61no—
529C22×C4—62no—
530C22×C4—62no—
531C22×C4—61no—
532C22×C4—62no—
533C22×C4—61no—
534C22×C4—62no—
535C22×C4—62no—
536C22×C4—61no—
537C22×C4—62no—
538C22×C4—62no—
539C22×C4—61no—
540C22×C4—64no—
541C22×C4—64no—
542C22×C4—64no—
543C22×C4—64no—
544C22×C4—62no—
545C22×C4—61no—
546C22×C4—128no—
547C22×C4—128no—
548C22×C4—128no—
549C22×C4—124no—
550C22×C4—124no—
551C22×C4—124no—
552C22×C4—124no—
553C22×C4C2×#6714yes—
554C4⋊C4—616no—
555C22⋊C4—28no—
556C22⋊C4—416no—
557C22⋊C4—44no—
558C22⋊C4—616no—
559C22⋊C4—632no—
560C22⋊C4—616no—
561C22⋊C4—68no—
562C22⋊C4—128no—
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—28no—
572C22×C3—28no—
573C22×C3—28no—
574C22×C3—464no—
575C22×C3—44no—
576C22×C3—44no—
577C22×C3—48no—
578C22×C3—44no—
579C22×C3—48no—
580C22×C3—44no—
581C22×C3—48no—
582C22×C3—48no—
583C22×C3#39218yes—
584C22×C3C2×#12011yescharacteristic
585C22×C3C2×#12011yescharacteristic
586C22×C3C2×#12011yescharacteristic
587C22×C3C2×#12111yescharacteristic
588C22×C3C2×#12111yescharacteristic
589C22×C3C2×#12111yescharacteristic
590C22×C3C2×#12312yes—
591C22×C3#52512yes—
592C22×C3#52512yes—
593C22×C3C2×#12711yescharacteristic
594C22×C3#53412yes—
595C22×C3#53412yes—
596C22×C3#53512yes—
597C22×C3#54614yes—
598C22×C3#54614yes—
599C22×C3#54614yes—
600C22×C3#55114yes—
601C2×D3—42no—
602C2×D3—44no—
603C2×D3—44no—
604C2×D3—44no—
605C2×D3—81no—
606C2×D3—81no—
607C2×D3—82no—
608C2×D3—82no—
609C2×D3—82no—
610C3×C4—44no—
611C3×C4—82no—
612Dic3—44no—
613Dic3—44no—
614Dic3—42no—
615Dic3—44no—
616C23—24no—
617C23—24no—
618C23—28no—
619C23—28no—
620C23—24no—
621C23—24no—
622C23—24no—
623C23—28no—
624C23—28no—
625C23—24no—
626C23—232no—
627C23—24no—
628C23—24no—
629C23—24no—
630C23—24no—
631C23—24no—
632C23—28no—
633C23—24no—
634C23—28no—
635C23—28no—
636C23—28no—
637C23—28no—
638C23—28no—
639C23—432no—
640C23—432no—
641C23—432no—
642C23—432no—
643C23—416no—
644C23—432no—
645C23—432no—
646C23—416no—
647C23—42no—
648C23—42no—
649C23—44no—
650C23—42no—
651C23—42no—
652C23—44no—
653C23—44no—
654C23—44no—
655C23—44no—
656C23—44no—
657C23—62no—
658C23—62no—
659C23—62no—
660C23—68no—
661C23—121no—
662C23—121no—
663C23—122no—
664C23—122no—
665C23—124no—
666C23—121no—
667C23—121no—
668C23—124no—
669C23—122no—
670C23—122no—
671C23—122no—
672C23—124no—
673C23—122no—
674C23#88214yes—
675C23#88214yes—
676C23#88414yes—
677C23#88414yes—
678C23#88618yescomplemented
679C23#93014yes—
680C23#93714yes—
681C23#94014yes—
682C23C22×D1211yescharacteristic
683C23C2×#23511yescharacteristic
684C23C2×D3×D411yescharacteristic
685C23C2×D3×D411yescharacteristic
686C23C2×D3×D411yescharacteristic
687C23C2×D3×D411yescharacteristic
688C23C2×#23714yes—
689C23#100414yes—
690C23C22×#6711yescharacteristic
691D4—1232no—
692D4—1216no—
693C2×C4—24no—
694C2×C4—28no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—64no—
704C2×C4—64no—
705C2×C4—64no—
706C2×C4—62no—
707C2×C4—64no—
708C2×C4—62no—
709C2×C4—64no—
710C2×C4—62no—
711C2×C4—64no—
712C2×C4—64no—
713C2×C4—68no—
714C2×C4—1216no—
715C2×C4—1216no—
716C2×C4—122no—
717C2×C4—121no—
718C2×C4—122no—
719C2×C4—121no—
720C2×C4—122no—
721C2×C4—124no—
722C2×C4—122no—
723C2×C4—122no—
724C2×C4—121no—
725C2×C4—122no—
726C2×C4—121no—
727C2×C4—124no—
728C2×C4—124no—
729C2×C3—28no—
730C2×C3—48no—
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—82no—
741C22—28no—
742C22—28no—
743C22—28no—
744C22—24no—
745C22—24no—
746C22—28no—
747C22—28no—
748C22—28no—
749C22—28no—
750C22—28no—
751C22—28no—
752C22—464no—
753C22—44no—
754C22—48no—
755C22—48no—
756C22—44no—
757C22—48no—
758C22—48no—
759C22—44no—
760C22—44no—
761C22—124no—
762C22—124no—
763C22—124no—
764C22—122no—
765C22—242no—
766C22—241no—
767C22—241no—
768C22—242no—
769C22—242no—
770C22#496018yes—
771C22C2×#88211yescharacteristic
772C22C2×#88211yescharacteristic
773C22C2×#88411yescharacteristic
774C22C2×#88411yescharacteristic
775C22C2×#88612yes—
776C22#549312yes—
777C22#549514yes—
778C22#558612yes—
779C22#558612yes—
780C22#558912yes—
781C22#559114yes—
782C22#559114yes—
783C22#559212yes—
784C22C2×#93011yescharacteristic
785C22C2×#93711yescharacteristic
786C22C2×#94011yescharacteristic
787C22#580614yes—
788C4—44no—
789C4—82no—
790C4—124no—
791C4—124no—
792C4—124no—
793C4—122no—
794C3#1491111yescharacteristic, complemented, Sylow
795C2—28no—
796C2—48no—
797C2—242no—
798C2#7382312yes—
799C2#7382512yes—
800C2#7383412yes—
801C2#7384711yescharacteristic
802C2#7385511yescharacteristic
803C2#8210812yes—
804C2C2×#496011yescharacteristic
805C2#8258112yes—
806C2#8259112yes—
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#379C2
prime radicalC22×#953C2
hypercenterC2×#379D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#379

Complements

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

NH ≅ G/Ntype
2. C23×#217C2semidirect
3. C22×#886C2semidirect
4. C2×C3×#379C2semidirect
5. C2×#4958C2semidirect
6. C2×#4943C2semidirect
7. #71550C2semidirect
8. #71546C2semidirect
9. #71544C2semidirect
28. C22×(C2×D3)⋊C4C22semidirect
29. C22×(C2×D3)⋊C4C22semidirect
30. C22×C4⋊Dic3C22semidirect
35. C2×C3⋊#95C22semidirect
36. C2×C3⋊#95C22semidirect
37. C2×C3⋊#95C22semidirect
45. C2×#379D3semidirect
84. C23×Dic3D4semidirect
85. C23×Dic3D4semidirect
98. C2×C3×C22⋊C4D4semidirect
333. C2×C22⋊C4#67semidirect
384. C23×C3#123semidirect
678. C23#886semidirect
794. C3#14911semidirect

Maximal subgroups

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

subgroupindex
C22×#9532
C23×#2172
C22×#8862
C2×C3×#3792
C2×#49582
C2×#49432
#715502
#715462
#715442
#149113