Finite Group Databasebeta

← #10728714

Subgroups — #10728714

Order 768.

2086 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#887C211yesmaximal, characteristic, complemented
2C2×C3×#394C211yesmaximal, characteristic
3C2×#5222C211yesmaximal, characteristic
4C2×#5221C211yesmaximal, characteristic
5C2×#4947C212yesmaximal, complemented
6#71565C211yesmaximal, characteristic, complemented
7#71547C212yesmaximal, complemented
8#71545C212yesmaximal, complemented
9#71545C212yesmaximal, complemented
10#69410C211yesmaximal, characteristic, complemented
11#69402C211yesmaximal, characteristic, complemented
12#14883—31nomaximal, Sylow
13C23×C3×D4C2211yescharacteristic
14C23×Dic6C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×C3×C22⋊C4C2212yes—
17C22×C3×C22⋊C4C2212yes—
18C22×#217C2212yes—
19C22×#217C2212yes—
20C22×#217C2212yes—
21C22×#217C2212yes—
22C22×C4⋊Dic3C2211yescharacteristic
23C22×Dic3⋊C4C2211yescharacteristic
24C22×Dic3⋊C4C2211yescharacteristic
25C22×C4×Dic3C2211yescharacteristic
26C22×C4×Dic3C2211yescharacteristic
27C22×C4×Dic3C2211yescharacteristic
28C2×#887—24no—
29C2×#887—24no—
30C2×#887—24no—
31C3×#394—24no—
32C2×C3×#95C2211yescharacteristic
33#5222—24no—
34#5221—24no—
35C2×C3⋊#95C2211yescharacteristic
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2212yes—
39C2×C3⋊#95C2212yes—
40C2×C3⋊#95C2212yes—
41C2×C3⋊#95C2212yes—
42#4947—28no—
43C22×C4×Q8—31no—
44C2×#394—31no—
45C2×#394D311yescharacteristic
46C2×#393—32no—
47C2×#390—31no—
48#1441—31no—
49#1441—31no—
50#1439—32no—
51#1437—32no—
52#1437—32no—
53#1434—31no—
54C25×C3C2312yes—
55C22×C3×D4—24no—
56C22×C3×D4—22no—
57C22×C3×D4—22no—
58C22×C3×D4—22no—
59C22×C3×D4—42no—
60C23×C3×C4C2312yes—
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2311yescharacteristic
63C23×C3×C4C2311yescharacteristic
64C23×Dic3C2312yes—
65C23×Dic3C2312yes—
66C23×Dic3C2311yescharacteristic
67C23×Dic3C2311yescharacteristic
68C23×Dic3C2311yescharacteristic
69C23×Dic3C2311yescharacteristic
70C22×Dic6—22no—
71C22×Dic6—22no—
72C22×Dic6—22no—
73C22×Dic6—22no—
74C22×Dic6—22no—
75C22×Dic6—22no—
76C22×Dic6D414yescomplemented
77C2×C3×C4⋊C4—22no—
78C2×C3×C4⋊C4—22no—
79C2×C3×C4⋊C4D414yes—
80C2×C3×C22⋊C4—24no—
81C2×C3×C22⋊C4—24no—
82C2×C3×C22⋊C4—24no—
83C2×C3×C22⋊C4—24no—
84C2×C3×C22⋊C4—24no—
85C2×C3×C22⋊C4—42no—
86C2×#217—24no—
87C2×#217—24no—
88C2×#217—24no—
89C2×#217—24no—
90C2×#217—24no—
91C2×#217—24no—
92C2×#217—24no—
93C2×#217—24no—
94C2×#217—24no—
95C2×#217—24no—
96C2×#217—24no—
97C2×#217—42no—
98C2×C4⋊Dic3—22no—
99C2×C4⋊Dic3—42no—
100C2×Dic3⋊C4—22no—
101C2×Dic3⋊C4—22no—
102C2×Dic3⋊C4—22no—
103C2×Dic3⋊C4—22no—
104C2×Dic3⋊C4—22no—
105C2×Dic3⋊C4D414yes—
106C2×C4×Dic3—22no—
107C2×C4×Dic3—22no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3—22no—
110C2×C4×Dic3—22no—
111C2×C4×Dic3—22no—
112C2×C4×Dic3—22no—
113C2×C4×Dic3—22no—
114C2×C4×Dic3D414yes—
115#887—232no—
116C3×#95—22no—
117C3⋊#95—24no—
118C3⋊#95—22no—
119C3⋊#95—24no—
120C3⋊#95—24no—
121C3⋊#95—24no—
122C3⋊#95—42no—
123C3⋊#95—42no—
124C23×Q8—31no—
125C23×D4C2×D311yescharacteristic
126C2×C4×Q8—64no—
127C2×C4×Q8—64no—
128C2×C4×Q8—64no—
129C22×C4⋊C4—31no—
130C22×C4⋊C4—31no—
131C22×C4⋊C4—31no—
132C22×C4⋊C4C2×D311yescharacteristic
133C22×C22⋊C4—32no—
134C22×C22⋊C4—32no—
135C22×C22⋊C4—32no—
136C22×C22⋊C4—32no—
137C22×C22⋊C4C2×D312yes—
138C22×C22⋊C4C2×D312yes—
139C22×C42—31no—
140C22×C42—31no—
141C22×C42—31no—
142#394—24no—
143#394—64no—
144#393—68no—
145#390—64no—
146C2×#95—32no—
147C2×#95—32no—
148C2×#95—32no—
149C2×#95—31no—
150C2×#95—32no—
151C2×#95—32no—
152C2×#95—32no—
153C2×#95C2×D311yescharacteristic
154C24×C3—22no—
155C24×C3—22no—
156C24×C3—22no—
157C24×C3—22no—
158C24×C3—22no—
159C24×C3—22no—
160C24×C3—22no—
161C24×C3—22no—
162C24×C3—22no—
163C24×C3—22no—
164C24×C3—22no—
165C24×C3—22no—
166C24×C3—22no—
167C24×C3—22no—
168C24×C3#4114yes—
169C24×C3C2411yescharacteristic
170C2×C3×D4—28no—
171C2×C3×D4—48no—
172C2×C3×D4—48no—
173C2×C3×D4—44no—
174C2×C3×D4—44no—
175C22×C3×C4—21no—
176C22×C3×C4—21no—
177C22×C3×C4—21no—
178C22×C3×C4—21no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—21no—
182C22×C3×C4—21no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4C2×D412yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4C2×D412yes—
195C22×C3×C4C2×D412yes—
196C22×C3×C4C2×D412yes—
197C22×C3×C4C2×D412yes—
198C22×C3×C4#4112yes—
199C22×Dic3—21no—
200C22×Dic3—21no—
201C22×Dic3—21no—
202C22×Dic3—21no—
203C22×Dic3—21no—
204C22×Dic3—21no—
205C22×Dic3—21no—
206C22×Dic3—21no—
207C22×Dic3—21no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—21no—
211C22×Dic3—21no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—22no—
223C22×Dic3—22no—
224C22×Dic3—22no—
225C22×Dic3—22no—
226C22×Dic3—22no—
227C22×Dic3—22no—
228C22×Dic3C2×D412yes—
229C22×Dic3C2×D412yes—
230C22×Dic3C2×D412yes—
231C22×Dic3C2×D412yes—
232C22×Dic3C2×D412yes—
233C22×Dic3C2×D412yes—
234C22×Dic3#4112yes—
235C22×Dic3#4112yes—
236C22×Dic3#4114yes—
237C2×Dic6—28no—
238C2×Dic6—28no—
239C2×Dic6—28no—
240C2×Dic6—28no—
241C2×Dic6—28no—
242C2×Dic6—28no—
243C2×Dic6—28no—
244C3×C4⋊C4—28no—
245C3×C22⋊C4—48no—
246C3×C22⋊C4—48no—
247#217—48no—
248#217—48no—
249#217—48no—
250#217—48no—
251C4⋊Dic3—44no—
252Dic3⋊C4—28no—
253Dic3⋊C4—28no—
254C4×Dic3—28no—
255C4×Dic3—28no—
256C4×Dic3—28no—
257C25C22×D312yes—
258C22×Q8—34no—
259C22×Q8—62no—
260C22×Q8—62no—
261C22×Q8—62no—
262C22×Q8—62no—
263C22×Q8—62no—
264C22×Q8—62no—
265C22×D4—24no—
266C22×D4—22no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4—42no—
270C23×C4—31no—
271C23×C4—31no—
272C23×C4—31no—
273C23×C4—31no—
274C23×C4—32no—
275C23×C4—32no—
276C23×C4C22×D312yes—
277C23×C4C22×D311yescharacteristic
278C23×C4C22×D311yescharacteristic
279C23×C4C22×D311yescharacteristic
280C4×Q8—632no—
281C2×C4⋊C4—22no—
282C2×C4⋊C4—22no—
283C2×C4⋊C4—34no—
284C2×C4⋊C4—62no—
285C2×C4⋊C4—62no—
286C2×C4⋊C4—62no—
287C2×C4⋊C4—62no—
288C2×C4⋊C4—62no—
289C2×C4⋊C4—62no—
290C2×C4⋊C4—122no—
291C2×C4⋊C4#6714yes—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—42no—
298C2×C22⋊C4—64no—
299C2×C22⋊C4—64no—
300C2×C22⋊C4—64no—
301C2×C22⋊C4—64no—
302C2×C22⋊C4—64no—
303C2×C22⋊C4—64no—
304C2×C22⋊C4—64no—
305C2×C22⋊C4—64no—
306C2×C22⋊C4—64no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—122no—
310C2×C42—34no—
311C2×C42—62no—
312C2×C42—62no—
313C2×C42—62no—
314C2×C42—62no—
315C2×C42—62no—
316C2×C42—62no—
317C2×C42—62no—
318C2×C42—62no—
319#95—22no—
320#95—64no—
321#95—64no—
322#95—64no—
323#95—64no—
324#95—62no—
325#95—122no—
326#95—122no—
327C23×C3—24no—
328C23×C3—24no—
329C23×C3—24no—
330C23×C3—24no—
331C23×C3—24no—
332C23×C3—24no—
333C23×C3—24no—
334C23×C3—42no—
335C23×C3—42no—
336C23×C3—42no—
337C23×C3—42no—
338C23×C3—42no—
339C23×C3—42no—
340C23×C3—42no—
341C23×C3—42no—
342C23×C3—42no—
343C23×C3—42no—
344C23×C3—42no—
345C23×C3—42no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3—42no—
353C23×C3—42no—
354C23×C3—42no—
355C23×C3—42no—
356C23×C3—42no—
357C23×C3—42no—
358C23×C3—42no—
359C23×C3—42no—
360C23×C3—42no—
361C23×C3—42no—
362C23×C3C22×D411yescharacteristic
363C23×C3C22×D411yescharacteristic
364C23×C3C22×D411yescharacteristic
365C23×C3C22×D411yescharacteristic
366C23×C3C2×#4111yescharacteristic
367C23×C3C2×#4112yes—
368C23×C3C2×#4111yescharacteristic
369C23×C3C2×#4111yescharacteristic
370C23×C3C2×#4112yes—
371C23×C3H(5,𝔽2)12yes—
372C23×C32−1+412yes—
373C3×D4—416no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—22no—
381C2×C3×C4—22no—
382C2×C3×C4—24no—
383C2×C3×C4—24no—
384C2×C3×C4—22no—
385C2×C3×C4—24no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4#12014yes—
397C2×C3×C4#12114yes—
398C2×Dic3—22no—
399C2×Dic3—22no—
400C2×Dic3—22no—
401C2×Dic3—22no—
402C2×Dic3—22no—
403C2×Dic3—22no—
404C2×Dic3—22no—
405C2×Dic3—22no—
406C2×Dic3—22no—
407C2×Dic3—22no—
408C2×Dic3—22no—
409C2×Dic3—22no—
410C2×Dic3—22no—
411C2×Dic3—22no—
412C2×Dic3—24no—
413C2×Dic3—24no—
414C2×Dic3—22no—
415C2×Dic3—24no—
416C2×Dic3—41no—
417C2×Dic3—41no—
418C2×Dic3—42no—
419C2×Dic3—42no—
420C2×Dic3—42no—
421C2×Dic3—42no—
422C2×Dic3—42no—
423C2×Dic3—42no—
424C2×Dic3—42no—
425C2×Dic3—42no—
426C2×Dic3—42no—
427C2×Dic3—42no—
428C2×Dic3—42no—
429C2×Dic3—42no—
430C2×Dic3—42no—
431C2×Dic3—42no—
432C2×Dic3—42no—
433C2×Dic3#12114yes—
434C2×Dic3#12114yes—
435C2×Dic3#12414yes—
436Dic6—232no—
437C24—22no—
438C24—22no—
439C24—22no—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24#23714yes—
452C24C23×D311yescharacteristic
453C2×Q8—68no—
454C2×Q8—68no—
455C2×Q8—68no—
456C2×Q8—68no—
457C2×Q8—68no—
458C2×Q8—68no—
459C2×Q8—68no—
460C2×D4—28no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—44no—
464C2×D4—44no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—32no—
483C22×C4—32no—
484C22×C4—32no—
485C22×C4—32no—
486C22×C4—32no—
487C22×C4—34no—
488C22×C4—32no—
489C22×C4—32no—
490C22×C4—32no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—62no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—61no—
506C22×C4—62no—
507C22×C4—62no—
508C22×C4—62no—
509C22×C4—62no—
510C22×C4—62no—
511C22×C4—62no—
512C22×C4—62no—
513C22×C4—62no—
514C22×C4—62no—
515C22×C4—62no—
516C22×C4—62no—
517C22×C4—62no—
518C22×C4—62no—
519C22×C4—62no—
520C22×C4D3×D412yes—
521C22×C4D3×D412yes—
522C22×C4D3×D412yes—
523C22×C4#23712yes—
524C22×C4C2×#6712yes—
525C22×C4C2×#6712yes—
526C22×C4C2×#6712yes—
527C4⋊C4—28no—
528C4⋊C4—68no—
529C4⋊C4—68no—
530C4⋊C4—124no—
531C22⋊C4—48no—
532C22⋊C4—48no—
533C22⋊C4—128no—
534C22⋊C4—128no—
535C22⋊C4—128no—
536C22⋊C4—128no—
537C42—68no—
538C42—68no—
539C42—68no—
540C22×C3—44no—
541C22×C3—44no—
542C22×C3—44no—
543C22×C3—44no—
544C22×C3—44no—
545C22×C3—44no—
546C22×C3—44no—
547C22×C3—82no—
548C22×C3—82no—
549C22×C3—82no—
550C22×C3—82no—
551C22×C3—82no—
552C22×C3—82no—
553C22×C3—82no—
554C22×C3—82no—
555C22×C3C2×#12011yescharacteristic
556C22×C3C2×#12111yescharacteristic
557C22×C3C2×#12111yescharacteristic
558C22×C3C2×#12111yescharacteristic
559C22×C3#52511yescharacteristic
560C22×C3#52511yescharacteristic
561C22×C3#52511yescharacteristic
562C22×C3#52511yescharacteristic
563C22×C3C2×#12411yescharacteristic
564C22×C3#52912yes—
565C22×C3#52912yes—
566C22×C3#53511yescharacteristic
567C22×C3#53611yescharacteristic
568C22×C3#54212yes—
569C22×C3#54212yes—
570C22×C3#54612yes—
571C22×C3#54612yes—
572C22×C3#54812yes—
573C22×C3#54812yes—
574C22×C3#54812yes—
575C22×C3#55012yes—
576C22×C3#55212yes—
577C22×C3#55912yes—
578C3×C4—24no—
579C3×C4—24no—
580C3×C4—42no—
581C3×C4—82no—
582Dic3—24no—
583Dic3—24no—
584Dic3—24no—
585Dic3—42no—
586Dic3—82no—
587Dic3—82no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23C2×D3×D411yescharacteristic
624C23C2×D3×D411yescharacteristic
625C23C2×D3×D411yescharacteristic
626C23C2×#23712yes—
627C23C2×#23711yescharacteristic
628C23#100412yes—
629C23D3×#4111yescharacteristic
630C23D3×#4112yes—
631C23D3×#4111yescharacteristic
632C23#101012yes—
633C23C22×#6711yescharacteristic
634Q8—632no—
635D4—416no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—34no—
649C2×C4—34no—
650C2×C4—34no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—62no—
662C2×C4—64no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—64no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—62no—
678C2×C4—64no—
679C2×C4—122no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4—122no—
685C2×C4—122no—
686C2×C4—122no—
687C2×C4—122no—
688C2×C4—122no—
689C2×C4—122no—
690C2×C4—122no—
691C2×C4—122no—
692C2×C4—122no—
693C2×C4—122no—
694C2×C4—122no—
695C2×C4—122no—
696C2×C4#93714yes—
697C2×C4#93814yes—
698C2×C3—84no—
699C2×C3#239811yescharacteristic
700C2×C3#240411yescharacteristic
701C2×C3#242612yes—
702C2×C3#242612yes—
703C2×C3#243611yescharacteristic
704C2×C3#245812yes—
705C2×C3#245812yes—
706C2×C3#253611yescharacteristic
707C2×C3#254811yescharacteristic
708C2×C3#263211yescharacteristic
709C2×C3#284711yescharacteristic
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22#558611yescharacteristic
726C22#559112yes—
727C22#559211yescharacteristic
728C22#559812yes—
729C22#559912yes—
730C22#560012yes—
731C22#560312yes—
732C22D3×#12111yescharacteristic
733C22D3×#12111yescharacteristic
734C22#560611yescharacteristic
735C22#560611yescharacteristic
736C22#564912yes—
737C22#565012yes—
738C22#566212yes—
739C22#566412yes—
740C22D3×#12411yescharacteristic
741C22#567511yescharacteristic
742C22#567712yes—
743C22C2×#93711yescharacteristic
744C22C2×#93811yescharacteristic
745C22#580612yes—
746C22#582811yescharacteristic
747C22#583112yes—
748C4—24no—
749C4—24no—
750C4—42no—
751C4—64no—
752C4—64no—
753C4—64no—
754C4—82no—
755C4—122no—
756C4—242no—
757C4—242no—
758C3#1488311yescharacteristic, complemented, Sylow
759C2—84no—
760C2#7689311yescharacteristic
761C2#7690112yes—
762C2#7691012yes—
763C2#7694311yescharacteristic
764C2#7694611yescharacteristic
765C2#7697711yescharacteristic
766C2#8258111yescharacteristic
767C2#8264612yes—
768C2#8272311yescharacteristic
769C2#8285112yes—
770C2#8296111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC2×C3×#394C2
prime radicalC23×C3×D4C22
hypercenterC2×#394D3
hypocenterC3#14883
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#394

Complements

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

NH ≅ G/Ntype
1. C22×#887C2semidirect
5. C2×#4947C2semidirect
6. #71565C2semidirect
7. #71547C2semidirect
8. #71545C2semidirect
9. #71545C2semidirect
10. #69410C2semidirect
11. #69402C2semidirect
76. C22×Dic6D4semidirect
758. C3#14883semidirect

Maximal subgroups

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

subgroupindex
C22×#8872
C2×C3×#3942
C2×#52222
C2×#52212
C2×#49472
#715652
#715472
#715452
#694102
#694022
#148833