Finite Group Databasebeta

← #10729018

Subgroups — #10729018

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×C3×#120C211yesmaximal, characteristic
2C23×#217C211yesmaximal, characteristic, complemented
3C22×#935C211yesmaximal, characteristic, complemented
4C2×#5247C211yesmaximal, characteristic, complemented
5C2×#5220C211yesmaximal, characteristic, complemented
6C2×#4943C211yesmaximal, characteristic, complemented
7#72131C214yesmaximal, complemented
8#71547C214yesmaximal, complemented
9#71544C211yesmaximal, characteristic, complemented
10#14911—31nomaximal, Sylow
11C26×C3C2211yescharacteristic
12C23×C3×D4C2211yescharacteristic
13C23×C3×D4C2212yes—
14C24×Dic3C2211yescharacteristic
15C24×Dic3C2211yescharacteristic
16C2×C3×#120—24no—
17C2×C3×#120—24no—
18C2×C3×#120—24no—
19C22×C3×C22⋊C4C2212yes—
20C22×C3×C22⋊C4C2211yescharacteristic
21C22×#217—24no—
22C22×#217—24no—
23C22×#217—24no—
24C22×#217C2214yes—
25C22×#217C2211yescharacteristic
26C22×#217C2214yes—
27C22×#217C2211yescharacteristic
28C22×#217C2212yescomplemented
29C22×#217C2212yescomplemented
30C2×#935—24no—
31C2×#935—24no—
32C2×#935—24no—
33C22×Dic3⋊C4C2212yescomplemented
34#5247—24no—
35#5220—24no—
36C2×C3⋊#95C2212yescomplemented
37C2×C3⋊#95C2214yescomplemented
38C2×C3⋊#95C2214yescomplemented
39#4943—24no—
40C22×#123—31no—
41C22×#120D311yescharacteristic
42C23×C22⋊C4—31no—
43C2×#386—31no—
44C2×#381—31no—
45C2×#379—31no—
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×C3C2311yescharacteristic
59C25×C3C2312yes—
60C25×C3C2311yescharacteristic
61C22×C3×D4—22no—
62C22×C3×D4—22no—
63C22×C3×D4—22no—
64C22×C3×D4—24no—
65C22×C3×D4—24no—
66C22×C3×D4—22no—
67C22×C3×D4—22no—
68C22×C3×D4—22no—
69C22×C3×D4—28no—
70C22×C3×D4—24no—
71C22×C3×D4—44no—
72C22×C3×D4D414yes—
73C23×C3×C4C2312yes—
74C23×C3×C4C2311yescharacteristic
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×Dic3C2312yes—
90C3×#120—232no—
91C2×C3×C22⋊C4—24no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4—22no—
94C2×C3×C22⋊C4—24no—
95C2×C3×C22⋊C4—24no—
96C2×C3×C22⋊C4D414yes—
97C2×#217—232no—
98C2×#217—22no—
99C2×#217—22no—
100C2×#217—24no—
101C2×#217—28no—
102C2×#217—24no—
103C2×#217—24no—
104C2×#217—28no—
105C2×#217—28no—
106C2×#217—22no—
107C2×#217—22no—
108C2×#217—22no—
109C2×#217—28no—
110C2×#217—24no—
111C2×#217—28no—
112C2×#217—44no—
113C2×#217—44no—
114C2×#217D414yescomplemented
115#935—232no—
116C2×Dic3⋊C4—24no—
117C2×Dic3⋊C4—24no—
118C2×Dic3⋊C4—24no—
119C3⋊#95—28no—
120C3⋊#95—24no—
121C3⋊#95—44no—
122C26C2×D311yescharacteristic
123C23×D4C2×D311yescharacteristic
124C23×D4C2×D312yes—
125C24×C4—31no—
126C24×C4—31no—
127C2×#123—64no—
128C2×#123—64no—
129C2×#123—64no—
130C2×#120—24no—
131C2×#120—24no—
132C2×#120—24no—
133C22×C4⋊C4—32no—
134C22×C22⋊C4—31no—
135C22×C22⋊C4—34no—
136C22×C22⋊C4—32no—
137C22×C22⋊C4—31no—
138C22×C22⋊C4—34no—
139C22×C22⋊C4—32no—
140C22×C22⋊C4—64no—
141C22×C22⋊C4—64no—
142C22×C22⋊C4—64no—
143C22×C22⋊C4C2×D312yes—
144C22×C22⋊C4C2×D311yescharacteristic
145#386—64no—
146#381—64no—
147#379—64no—
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—21no—
169C24×C3—21no—
170C24×C3—21no—
171C24×C3—21no—
172C24×C3—21no—
173C24×C3—21no—
174C24×C3—24no—
175C24×C3—24no—
176C24×C3—48no—
177C24×C3—416no—
178C24×C3—416no—
179C24×C3—416no—
180C24×C3—416no—
181C24×C3—48no—
182C24×C3—48no—
183C24×C3—44no—
184C24×C3—44no—
185C24×C3—44no—
186C24×C3—44no—
187C24×C3C2×D412yes—
188C24×C3C2×D412yes—
189C24×C3C2×D412yes—
190C24×C3C2×D412yes—
191C24×C3C2×D414yes—
192C24×C3C2×D412yes—
193C24×C3C2×D412yes—
194C24×C3C2×D412yes—
195C24×C3#4118yes—
196C24×C3#4112yes—
197C24×C3C2411yescharacteristic
198C2×C3×D4—216no—
199C2×C3×D4—28no—
200C2×C3×D4—28no—
201C2×C3×D4—28no—
202C2×C3×D4—416no—
203C2×C3×D4—416no—
204C2×C3×D4—48no—
205C2×C3×D4—44no—
206C2×C3×D4—44no—
207C2×C3×D4—44no—
208C2×C3×D4—48no—
209C2×C3×D4—44no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—21no—
218C22×C3×C4—24no—
219C22×C3×C4—24no—
220C22×C3×C4C2×D414yes—
221C22×C3×C4C2×D412yes—
222C22×Dic3—28no—
223C22×Dic3—28no—
224C22×Dic3—28no—
225C22×Dic3—28no—
226C22×Dic3—22no—
227C22×Dic3—22no—
228C22×Dic3—22no—
229C22×Dic3—22no—
230C22×Dic3—22no—
231C22×Dic3—22no—
232C22×Dic3—22no—
233C22×Dic3—22no—
234C22×Dic3—22no—
235C22×Dic3—24no—
236C22×Dic3—22no—
237C22×Dic3—24no—
238C22×Dic3—24no—
239C22×Dic3—24no—
240C22×Dic3—22no—
241C22×Dic3—22no—
242C22×Dic3—22no—
243C22×Dic3—24no—
244C22×Dic3—24no—
245C22×Dic3—48no—
246C22×Dic3—48no—
247C22×Dic3—48no—
248C22×Dic3—44no—
249C22×Dic3—44no—
250C22×Dic3—44no—
251C22×Dic3—44no—
252C22×Dic3C2×D414yes—
253C22×Dic3C2×D414yes—
254C22×Dic3C2×D414yes—
255C3×C22⋊C4—216no—
256C3×C22⋊C4—28no—
257#217—216no—
258#217—232no—
259#217—28no—
260#217—416no—
261#217—48no—
262#217—44no—
263Dic3⋊C4—216no—
264C25—22no—
265C25—22no—
266C25—28no—
267C25—22no—
268C25—22no—
269C25—22no—
270C25—22no—
271C25—44no—
272C25#6714yes—
273C25C22×D311yescharacteristic
274C25C22×D312yes—
275C25C22×D311yescharacteristic
276C22×D4—22no—
277C22×D4—22no—
278C22×D4—22no—
279C22×D4—22no—
280C22×D4—24no—
281C22×D4—24no—
282C22×D4—22no—
283C22×D4—22no—
284C22×D4—28no—
285C22×D4—24no—
286C22×D4—44no—
287C22×D4#6714yes—
288C23×C4—34no—
289C23×C4—32no—
290C23×C4—32no—
291C23×C4—32no—
292C23×C4—34no—
293C23×C4—32no—
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×D311yescharacteristic
304C23×C4C22×D312yes—
305#123—632no—
306#120—232no—
307C2×C4⋊C4—64no—
308C2×C4⋊C4—64no—
309C2×C4⋊C4—64no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—22no—
312C2×C22⋊C4—22no—
313C2×C22⋊C4—24no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—34no—
316C2×C22⋊C4—68no—
317C2×C22⋊C4—68no—
318C2×C22⋊C4—64no—
319C2×C22⋊C4—64no—
320C2×C22⋊C4—632no—
321C2×C22⋊C4—62no—
322C2×C22⋊C4—68no—
323C2×C22⋊C4—64no—
324C2×C22⋊C4—62no—
325C2×C22⋊C4—68no—
326C2×C22⋊C4—64no—
327C2×C22⋊C4—62no—
328C2×C22⋊C4—62no—
329C2×C22⋊C4—68no—
330C2×C22⋊C4—62no—
331C2×C22⋊C4—124no—
332C2×C22⋊C4—124no—
333C2×C22⋊C4#6714yes—
334#95—64no—
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—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—22no—
361C23×C3—22no—
362C23×C3—22no—
363C23×C3—28no—
364C23×C3—432no—
365C23×C3—432no—
366C23×C3—416no—
367C23×C3—432no—
368C23×C3—432no—
369C23×C3—432no—
370C23×C3—432no—
371C23×C3—42no—
372C23×C3—42no—
373C23×C3—42no—
374C23×C3—42no—
375C23×C3—44no—
376C23×C3—44no—
377C23×C3—44no—
378C23×C3—44no—
379C23×C3—44no—
380C23×C3—44no—
381C23×C3—416no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—42no—
386C23×C3—42no—
387C23×C3—42no—
388C23×C3—41no—
389C23×C3—42no—
390C23×C3—42no—
391C23×C3—42no—
392C23×C3—44no—
393C23×C3—44no—
394C23×C3—44no—
395C23×C3#12014yes—
396C23×C3#12014yes—
397C23×C3#12014yes—
398C23×C3#12114yes—
399C23×C3#12114yes—
400C23×C3#12114yes—
401C23×C3#12318yescomplemented
402C23×C3#12714yes—
403C23×C3C22×D411yescharacteristic
404C23×C3C22×D411yescharacteristic
405C23×C3C22×D411yescharacteristic
406C23×C3C22×D411yescharacteristic
407C23×C3C22×D411yescharacteristic
408C23×C3C22×D411yescharacteristic
409C23×C3C2×#4111yescharacteristic
410C23×C3C2×#4114yes—
411C23×C3H(5,𝔽2)14yes—
412C3×D4—432no—
413C3×D4—416no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—24no—
417C2×C3×C4—22no—
418C2×C3×C4—28no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—42no—
423C2×C3×C4—41no—
424C2×C3×C4—42no—
425C2×C3×C4—44no—
426C2×Dic3—24no—
427C2×Dic3—24no—
428C2×Dic3—24no—
429C2×Dic3—24no—
430C2×Dic3—24no—
431C2×Dic3—24no—
432C2×Dic3—24no—
433C2×Dic3—28no—
434C2×Dic3—416no—
435C2×Dic3—42no—
436C2×Dic3—42no—
437C2×Dic3—42no—
438C2×Dic3—42no—
439C2×Dic3—42no—
440C2×Dic3—44no—
441C2×Dic3—42no—
442C2×Dic3—44no—
443C2×Dic3—44no—
444C2×Dic3—416no—
445C2×Dic3—42no—
446C2×Dic3—42no—
447C2×Dic3—42no—
448C2×Dic3—44no—
449C2×Dic3—44no—
450C24—24no—
451C24—24no—
452C24—216no—
453C24—216no—
454C24—216no—
455C24—28no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—24no—
460C24—22no—
461C24—24no—
462C24—24no—
463C24—22no—
464C24—22no—
465C24—28no—
466C24—28no—
467C24—21no—
468C24—21no—
469C24—21no—
470C24—21no—
471C24—24no—
472C24—24no—
473C24—21no—
474C24—21no—
475C24—48no—
476C24—416no—
477C24—416no—
478C24—416no—
479C24—416no—
480C24—48no—
481C24—48no—
482C24—44no—
483C24—44no—
484C24—44no—
485C24—44no—
486C24D3×D412yes—
487C24D3×D412yes—
488C24D3×D412yes—
489C24#23718yes—
490C24#23712yes—
491C24C2×#6712yes—
492C24C2×#6714yes—
493C24C2×#6712yes—
494C24C2×#6712yes—
495C24C2×#6712yes—
496C24C23×D311yescharacteristic
497C2×D4—216no—
498C2×D4—28no—
499C2×D4—28no—
500C2×D4—28no—
501C2×D4—416no—
502C2×D4—416no—
503C2×D4—48no—
504C2×D4—48no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4—44no—
508C2×D4—44no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—34no—
520C22×C4—34no—
521C22×C4—34no—
522C22×C4—68no—
523C22×C4—68no—
524C22×C4—68no—
525C22×C4—68no—
526C22×C4—62no—
527C22×C4—62no—
528C22×C4—62no—
529C22×C4—62no—
530C22×C4—64no—
531C22×C4—62no—
532C22×C4—64no—
533C22×C4—64no—
534C22×C4—64no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—62no—
539C22×C4—62no—
540C22×C4—62no—
541C22×C4—62no—
542C22×C4—64no—
543C22×C4—64no—
544C22×C4—62no—
545C22×C4—128no—
546C22×C4—128no—
547C22×C4—128no—
548C22×C4—124no—
549C22×C4—124no—
550C22×C4—124no—
551C22×C4—124no—
552C22×C4C2×#6714yes—
553C22×C4C2×#6712yes—
554C4⋊C4—616no—
555C22⋊C4—216no—
556C22⋊C4—28no—
557C22⋊C4—632no—
558C22⋊C4—616no—
559C22⋊C4—68no—
560C22⋊C4—1216no—
561C22⋊C4—128no—
562C22⋊C4—124no—
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—42no—
584C22×C3—44no—
585C22×C3—44no—
586C22×C3—44no—
587C22×C3—81no—
588C22×C3—81no—
589C22×C3—82no—
590C22×C3—82no—
591C22×C3—82no—
592C22×C3#39218yes—
593C22×C3C2×#12011yescharacteristic
594C22×C3C2×#12011yescharacteristic
595C22×C3C2×#12011yescharacteristic
596C22×C3C2×#12111yescharacteristic
597C22×C3C2×#12111yescharacteristic
598C22×C3C2×#12111yescharacteristic
599C22×C3C2×#12312yes—
600C22×C3#52512yes—
601C22×C3#52512yes—
602C22×C3C2×#12711yescharacteristic
603C22×C3#53412yes—
604C22×C3#53412yes—
605C22×C3#53512yes—
606C22×C3#54614yes—
607C22×C3#54614yes—
608C22×C3#54614yes—
609C22×C3#55114yes—
610C3×C4—42no—
611C3×C4—44no—
612Dic3—44no—
613Dic3—44no—
614Dic3—44no—
615Dic3—82no—
616C23—24no—
617C23—24no—
618C23—28no—
619C23—28no—
620C23—24no—
621C23—24no—
622C23—28no—
623C23—24no—
624C23—28no—
625C23—24no—
626C23—232no—
627C23—24no—
628C23—24no—
629C23—24no—
630C23—24no—
631C23—24no—
632C23—28no—
633C23—28no—
634C23—24no—
635C23—28no—
636C23—28no—
637C23—28no—
638C23—28no—
639C23—22no—
640C23—22no—
641C23—28no—
642C23—22no—
643C23—432no—
644C23—432no—
645C23—432no—
646C23—432no—
647C23—432no—
648C23—432no—
649C23—416no—
650C23—416no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—44no—
656C23—44no—
657C23—44no—
658C23—44no—
659C23—44no—
660C23—44no—
661C23—42no—
662C23—41no—
663C23—41no—
664C23—41no—
665C23—41no—
666C23—42no—
667C23—44no—
668C23—42no—
669C23—42no—
670C23—44no—
671C23—42no—
672C23—44no—
673C23—42no—
674C23#93518yescomplemented
675C23#93714yes—
676C23#93714yes—
677C23#93814yes—
678C23#93914yes—
679C23#93914yes—
680C23#94014yes—
681C23#95314yes—
682C23C2×D3×D411yescharacteristic
683C23C2×D3×D411yescharacteristic
684C23C2×D3×D411yescharacteristic
685C23C2×#23714yes—
686C23C2×#23711yescharacteristic
687C23#100414yes—
688C23C22×#6711yescharacteristic
689C23C22×#6711yescharacteristic
690C23C22×#6711yescharacteristic
691D4—432no—
692D4—416no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—28no—
696C2×C4—24no—
697C2×C4—22no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—64no—
706C2×C4—64no—
707C2×C4—64no—
708C2×C4—64no—
709C2×C4—64no—
710C2×C4—64no—
711C2×C4—64no—
712C2×C4—68no—
713C2×C4—1216no—
714C2×C4—1216no—
715C2×C4—122no—
716C2×C4—122no—
717C2×C4—122no—
718C2×C4—124no—
719C2×C4—124no—
720C2×C4—122no—
721C2×C4—122no—
722C2×C4—124no—
723C2×C4—122no—
724C2×C4—122no—
725C2×C4—124no—
726C2×C4—122no—
727C2×C4—122no—
728C2×C4—124no—
729C2×C3—28no—
730C2×C3—48no—
731C2×C3—82no—
732C2×C3C2×#39211yescharacteristic
733C2×C3#240412yes—
734C2×C3#240512yes—
735C2×C3#241112yes—
736C2×C3#241212yes—
737C2×C3#253412yes—
738C2×C3#253912yes—
739C2×C3#261311yescharacteristic
740C2×C3#284911yescharacteristic
741C22—28no—
742C22—28no—
743C22—28no—
744C22—28no—
745C22—28no—
746C22—28no—
747C22—24no—
748C22—24no—
749C22—28no—
750C22—28no—
751C22—28no—
752C22—464no—
753C22—44no—
754C22—44no—
755C22—48no—
756C22—48no—
757C22—44no—
758C22—48no—
759C22—48no—
760C22—44no—
761C22—44no—
762C22—42no—
763C22—44no—
764C22—44no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—81no—
769C22—81no—
770C22#522318yes—
771C22#558612yes—
772C22#558612yes—
773C22#558714yes—
774C22#558912yes—
775C22#559114yes—
776C22#559212yes—
777C22C2×#93512yes—
778C22C2×#93711yescharacteristic
779C22C2×#93711yescharacteristic
780C22C2×#93811yescharacteristic
781C22C2×#93911yescharacteristic
782C22C2×#93911yescharacteristic
783C22C2×#94011yescharacteristic
784C22#580412yes—
785C22#580614yes—
786C22#580614yes—
787C22C2×#95311yescharacteristic
788C4—44no—
789C4—42no—
790C4—124no—
791C4—124no—
792C4—124no—
793C4—242no—
794C3#1491111yescharacteristic, complemented, Sylow
795C2—28no—
796C2—48no—
797C2—82no—
798C2#8258112yes—
799C2#8258312yes—
800C2#8258412yes—
801C2#8259012yes—
802C2#8259112yes—
803C2#8260211yescharacteristic
804C2#8260711yescharacteristic
805C2#8404712yes—
806C2C2×#522311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
Fitting, prime radicalC22×C3×#120C2
hypercenterC22×#120D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22×#120

Complements

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

NH ≅ G/Ntype
2. C23×#217C2semidirect
3. C22×#935C2semidirect
4. C2×#5247C2semidirect
5. C2×#5220C2semidirect
6. C2×#4943C2semidirect
7. #72131C2semidirect
8. #71547C2semidirect
9. #71544C2semidirect
28. C22×#217C22semidirect
29. C22×#217C22semidirect
33. C22×Dic3⋊C4C22semidirect
36. C2×C3⋊#95C22semidirect
37. C2×C3⋊#95C22semidirect
38. C2×C3⋊#95C22semidirect
84. C23×Dic3D4semidirect
85. C23×Dic3D4semidirect
114. C2×#217D4semidirect
401. C23×C3#123semidirect
674. C23#935semidirect
794. C3#14911semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1202
C23×#2172
C22×#9352
C2×#52472
C2×#52202
C2×#49432
#721312
#715472
#715442
#149113