Finite Group Databasebeta

← #10796333

Subgroups — #10796333

Order 768.

2230 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×#67C211yesmaximal, characteristic
2C22×D3×M16C211yesmaximal, characteristic, complemented
3C2×C3×#407C211yesmaximal, characteristic, complemented
4C2×#5207C211yesmaximal, characteristic, complemented
5C2×#5126C211yesmaximal, characteristic, complemented
6#71979C211yesmaximal, characteristic, complemented
7#71979C211yesmaximal, characteristic, complemented
8#69958C214yesmaximal, complemented
9#69957C214yesmaximal, complemented
10#20898—31nomaximal, Sylow
11C24×C3×C4C2211yescharacteristic
12C23×#67C411yescharacteristic
13C23×C4×D3C2211yescharacteristic
14C22×C3×M16C2211yescharacteristic
15C22×C3×M16C2211yescharacteristic
16C22×#217C411yescharacteristic
17C2×C4×#67—24no—
18C2×C4×#67—24no—
19C2×C4×#67C412yes—
20C2×C4×#67C412yes—
21C2×C4×#67C2212yes—
22C2×C4×#67C2212yes—
23C22×(C2×D3)⋊C4C411yescharacteristic
24C22×Dic3⋊C4C411yescharacteristic
25C22×C4×Dic3C2211yescharacteristic
26C22×#208C2211yescharacteristic
27C22×#208C2211yescharacteristic
28C2×D3×M16—24no—
29C2×D3×M16—24no—
30C2×D3×M16—24no—
31C22×ΓL(1,𝔽25)C2212yescomplemented
32C22×D3×C8C2212yescomplemented
33C3×#407—24no—
34C2×C3×C22⋊C8C2214yescomplemented
35#5207—24no—
36C2×#830C2214yescomplemented
37#5126—24no—
38C2×(C2×D3)⋊C8C2212yescomplemented
39C2×(C2×D3)⋊C8C2212yescomplemented
40#4550C2214yescomplemented
41#4550C2214yescomplemented
42C23×M16—31no—
43C22×C4×D4—31no—
44C2×#407—31no—
45C2×#407—31no—
46C2×#407D311yescharacteristic, complemented
47#1870—34no—
48#1869—34no—
49#1728—31no—
50#1728—31no—
51C25×C3C2×C411yescharacteristic
52C24×D3C2×C411yescharacteristic
53C23×C3×C4—22no—
54C23×C3×C4—22no—
55C23×C3×C4—22no—
56C23×C3×C4—22no—
57C23×C3×C4—22no—
58C23×C3×C4—22no—
59C23×C3×C4C2×C411yescharacteristic
60C23×C3×C4C2×C412yes—
61C23×C3×C4C2312yes—
62C23×C3×C4C2311yescharacteristic
63C22×#67—24no—
64C22×#67—28no—
65C22×#67C2×C412yes—
66C22×#67C2×C412yes—
67C23×Dic3C2×C411yescharacteristic
68C23×Dic3C2×C411yescharacteristic
69C23×Dic3C2×C411yescharacteristic
70C22×C4×D3—22no—
71C22×C4×D3—22no—
72C22×C4×D3—22no—
73C22×C4×D3—22no—
74C22×C4×D3C2×C411yescharacteristic
75C22×C4×D3C2×C411yescharacteristic
76C22×C4×D3D414yes—
77C22×C4×D3D414yes—
78C22×C4×D3C2311yescharacteristic
79C22×C4×D3C2311yescharacteristic
80C2×C3×M16—22no—
81C2×C3×M16—22no—
82C2×C3×M16—22no—
83C2×C3×M16—22no—
84C2×C3×M16—22no—
85C2×C3×M16D414yescomplemented
86C22×C3×C8C2312yes—
87C22×C3×C8C2312yes—
88C2×#217—24no—
89C2×#217C2×C412yes—
90C2×#217C2×C412yes—
91C4×#67—28no—
92C4×#67—28no—
93C4×#67—24no—
94C4×#67—24no—
95C4×#67—24no—
96C4×#67—24no—
97C2×(C2×D3)⋊C4—24no—
98C2×(C2×D3)⋊C4C2×C412yes—
99C2×(C2×D3)⋊C4C2×C412yes—
100C2×Dic3⋊C4—24no—
101C2×Dic3⋊C4C2×C412yes—
102C2×Dic3⋊C4C2×C412yes—
103C2×C4×Dic3—22no—
104C2×C4×Dic3—22no—
105C2×C4×Dic3C2×C412yes—
106C2×C4×Dic3C2312yes—
107C2×#208—22no—
108C2×#208—22no—
109C2×#208—22no—
110C2×#208—22no—
111C2×#208—22no—
112C2×#208D414yescomplemented
113C22×C3⋊C8C2312yes—
114C22×C3⋊C8C2312yes—
115D3×M16—232no—
116C2×ΓL(1,𝔽25)—24no—
117C2×ΓL(1,𝔽25)—24no—
118C2×ΓL(1,𝔽25)—24no—
119C2×D3×C8—24no—
120C2×D3×C8—24no—
121C2×D3×C8—24no—
122C3×C22⋊C8—28no—
123#830—28no—
124(C2×D3)⋊C8—24no—
125(C2×D3)⋊C8—24no—
126C23×D4—31no—
127C24×C4—31no—
128C24×C4C2×D311yescharacteristic
129C22×M16—31no—
130C22×M16—31no—
131C22×M16—32no—
132C22×M16—64no—
133C22×M16—64no—
134C22×M16—64no—
135C22×M16C2×D311yescharacteristic
136C22×M16C2×D311yescharacteristic
137C23×C8—32no—
138C2×C4×D4—32no—
139C2×C4×D4—32no—
140C2×C4×D4—32no—
141C2×C4×D4—32no—
142C2×C4×D4—64no—
143C2×C4×D4—64no—
144C22×C4⋊C4—31no—
145C22×C22⋊C4—31no—
146C22×C22⋊C4—31no—
147C22×C42—31no—
148#407—24no—
149#407—64no—
150#407—64no—
151C2×C22⋊C8—34no—
152C2×C22⋊C8—32no—
153C2×C22⋊C8—32no—
154C2×C22⋊C8C2×D314yescomplemented
155#336—34no—
156#336—34no—
157C24×C3—22no—
158C24×C3—24no—
159C24×C3—22no—
160C24×C3—22no—
161C24×C3—42no—
162C24×C3C22×C412yes—
163C24×C3C22×C411yescharacteristic
164C23×D3—22no—
165C23×D3—22no—
166C23×D3—24no—
167C23×D3—42no—
168C23×D3C22⋊C414yes—
169C23×D3C22×C411yescharacteristic
170C23×D3C22×C411yescharacteristic
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—24no—
175C22×C3×C4—24no—
176C22×C3×C4—24no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—44no—
184C22×C3×C4—44no—
185C22×C3×C4—44no—
186C22×C3×C4—44no—
187C22×C3×C4C22×C412yes—
188C22×C3×C4C22×C411yescharacteristic
189C22×C3×C4C2×D412yes—
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D412yes—
192C22×C3×C4C2×D412yes—
193C22×C3×C4#4112yes—
194C22×C3×C4#4112yes—
195C22×C3×C4C2411yescharacteristic
196C2×#67—232no—
197C2×#67—24no—
198C2×#67—24no—
199C2×#67—24no—
200C2×#67—24no—
201C2×#67—24no—
202C2×#67M1618yescomplemented
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—24no—
207C22×Dic3—22no—
208C22×Dic3—42no—
209C22×Dic3C22⋊C414yes—
210C22×Dic3C22×C412yes—
211C22×Dic3C22×C411yescharacteristic
212C22×Dic3C22×C411yescharacteristic
213C22×Dic3C22×C412yes—
214C2×C4×D3—22no—
215C2×C4×D3—22no—
216C2×C4×D3—22no—
217C2×C4×D3—22no—
218C2×C4×D3—28no—
219C2×C4×D3—28no—
220C2×C4×D3—28no—
221C2×C4×D3—28no—
222C2×C4×D3—21no—
223C2×C4×D3—21no—
224C2×C4×D3—21no—
225C2×C4×D3—21no—
226C2×C4×D3—21no—
227C2×C4×D3—21no—
228C2×C4×D3—21no—
229C2×C4×D3—21no—
230C2×C4×D3C22⋊C414yes—
231C2×C4×D3C22⋊C414yes—
232C2×C4×D3C2×D412yes—
233C2×C4×D3C2×D412yes—
234C2×C4×D3C2×D412yes—
235C2×C4×D3C2×D412yes—
236C3×M16—28no—
237C3×M16—44no—
238C2×C3×C8—22no—
239C2×C3×C8—22no—
240C2×C3×C8—22no—
241C2×C3×C8—22no—
242C2×C3×C8—22no—
243C2×C3×C8C2×D414yescomplemented
244#217—24no—
245#217—24no—
246(C2×D3)⋊C4—24no—
247(C2×D3)⋊C4—24no—
248Dic3⋊C4—24no—
249Dic3⋊C4—24no—
250C4×Dic3—24no—
251C4×Dic3—22no—
252C4×Dic3—22no—
253#208—28no—
254#208—44no—
255C2×C3⋊C8—22no—
256C2×C3⋊C8—22no—
257C2×C3⋊C8—22no—
258C2×C3⋊C8—22no—
259C2×C3⋊C8—22no—
260C2×C3⋊C8C2×D414yescomplemented
261ΓL(1,𝔽25)—216no—
262D3×C8—216no—
263C25—31no—
264C25C4×D311yescharacteristic
265C22×D4—32no—
266C22×D4—32no—
267C22×D4—68no—
268C22×D4—64no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4—22no—
275C23×C4—31no—
276C23×C4—31no—
277C23×C4—31no—
278C23×C4—34no—
279C23×C4—34no—
280C23×C4—31no—
281C23×C4—31no—
282C23×C4—31no—
283C23×C4—31no—
284C23×C4—62no—
285C23×C4—62no—
286C23×C4—62no—
287C23×C4—62no—
288C23×C4C4×D311yescharacteristic
289C23×C4C4×D312yes—
290C23×C4C22×D312yes—
291C23×C4C22×D311yescharacteristic
292C2×M16—22no—
293C2×M16—22no—
294C2×M16—22no—
295C2×M16—22no—
296C2×M16—22no—
297C2×M16—34no—
298C2×M16—64no—
299C2×M16—64no—
300C2×M16—632no—
301C2×M16—62no—
302C2×M16—62no—
303C2×M16—62no—
304C2×M16—62no—
305C2×M16—62no—
306C2×M16—64no—
307C2×M16#6714yescomplemented
308C22×C8—32no—
309C22×C8—32no—
310C22×C8—64no—
311C22×C8—64no—
312C22×C8—64no—
313C22×C8C22×D312yes—
314C22×C8C22×D312yes—
315C4×D4—68no—
316C4×D4—68no—
317C4×D4—64no—
318C4×D4—64no—
319C4×D4—64no—
320C4×D4—64no—
321C2×C4⋊C4—32no—
322C2×C4⋊C4—32no—
323C2×C4⋊C4—64no—
324C2×C22⋊C4—32no—
325C2×C22⋊C4—32no—
326C2×C22⋊C4—32no—
327C2×C22⋊C4—32no—
328C2×C22⋊C4—64no—
329C2×C22⋊C4—64no—
330C2×C42—32no—
331C2×C42—32no—
332C2×C42—62no—
333C2×C42—62no—
334C22⋊C8—28no—
335C22⋊C8—64no—
336C22⋊C8—64no—
337C22⋊C8—68no—
338C23×C3—22no—
339C23×C3—22no—
340C23×C3—28no—
341C23×C3—22no—
342C23×C3—22no—
343C23×C3—22no—
344C23×C3—22no—
345C23×C3—22no—
346C23×C3—22no—
347C23×C3—48no—
348C23×C3—48no—
349C23×C3—44no—
350C23×C3—44no—
351C23×C3C2×C22⋊C412yes—
352C23×C3C4×D412yes—
353C23×C3C4×D412yes—
354C23×C3C2×M1614yescomplemented
355C23×C3C23×C411yescharacteristic
356C22×D3—21no—
357C22×D3—21no—
358C22×D3—22no—
359C22×D3—21no—
360C22×D3—21no—
361C22×D3—22no—
362C22×D3—22no—
363C22×D3—28no—
364C22×D3—28no—
365C22×D3—44no—
366C22×D3—48no—
367C22×D3—48no—
368C22×D3C2×C22⋊C412yes—
369C22×D3C2×C22⋊C412yes—
370C22×D3C2×M1614yes—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—44no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—48no—
380C2×C3×C4C2×C22⋊C412yes—
381C2×C3×C4C4×D412yes—
382C2×C3×C4C4×D412yes—
383C2×C3×C4#12014yes—
384C2×C3×C4#12114yes—
385C2×C3×C4#12114yes—
386C2×C3×C4#12314yes—
387C2×C3×C4C22×D411yescharacteristic
388C2×C3×C4C22×D411yescharacteristic
389C2×C3×C4C22×D411yescharacteristic
390C2×C3×C4C22×D411yescharacteristic
391C2×C3×C4C2×#4111yescharacteristic
392C2×C3×C4C2×#4111yescharacteristic
393#67—216no—
394#67—216no—
395C2×Dic3—28no—
396C2×Dic3—22no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—21no—
401C2×Dic3—22no—
402C2×Dic3—28no—
403C2×Dic3—22no—
404C2×Dic3—24no—
405C2×Dic3—44no—
406C2×Dic3C2×C22⋊C412yes—
407C2×Dic3C2×C22⋊C412yes—
408C2×Dic3C2×M1614yescomplemented
409C4×D3—22no—
410C4×D3—22no—
411C4×D3—22no—
412C4×D3—22no—
413C4×D3—22no—
414C4×D3—22no—
415C4×D3—22no—
416C4×D3—22no—
417C4×D3—28no—
418C4×D3—28no—
419C3×C8—24no—
420C3×C8—42no—
421C3⋊C8—24no—
422C3⋊C8—42no—
423C24—22no—
424C24—24no—
425C24—22no—
426C24—22no—
427C24—31no—
428C24—31no—
429C24—34no—
430C24—42no—
431C24—64no—
432C24—62no—
433C24—62no—
434C24—122no—
435C24C2×C4×D312yes—
436C24C2×C4×D311yescharacteristic
437C2×D4—38no—
438C2×D4—64no—
439C2×D4—64no—
440C2×D4—64no—
441C2×D4—64no—
442C2×D4—632no—
443C2×D4—64no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—34no—
457C22×C4—32no—
458C22×C4—31no—
459C22×C4—31no—
460C22×C4—34no—
461C22×C4—34no—
462C22×C4—32no—
463C22×C4—32no—
464C22×C4—32no—
465C22×C4—32no—
466C22×C4—32no—
467C22×C4—44no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—64no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—68no—
478C22×C4—68no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—68no—
482C22×C4—68no—
483C22×C4—61no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—61no—
488C22×C4—61no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—122no—
493C22×C4C2×C4×D312yes—
494C22×C4C2×C4×D311yescharacteristic
495C22×C4#23512yes—
496C22×C4D3×D412yes—
497C22×C4D3×D412yes—
498C22×C4D3×D412yes—
499C22×C4#23712yes—
500C22×C4C2×#6712yes—
501C22×C4C23×D311yescharacteristic
502M16—28no—
503M16—44no—
504M16—616no—
505M16—68no—
506M16—124no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—34no—
513C2×C8—616no—
514C2×C8—62no—
515C2×C8—62no—
516C2×C8—62no—
517C2×C8—62no—
518C2×C8—62no—
519C2×C8C2×#6714yescomplemented
520C4⋊C4—64no—
521C4⋊C4—64no—
522C22⋊C4—64no—
523C22⋊C4—64no—
524C22⋊C4—64no—
525C22⋊C4—64no—
526C42—64no—
527C42—62no—
528C42—62no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—24no—
532C22×C3—24no—
533C22×C3—24no—
534C22×C3—24no—
535C22×C3—24no—
536C22×C3—416no—
537C22×C3—42no—
538C22×C3—42no—
539C22×C3—42no—
540C22×C3—42no—
541C22×C3#38614yes—
542C22×C3C22×C22⋊C411yescharacteristic
543C22×C3C2×C4×D411yescharacteristic
544C22×C3C2×C4×D411yescharacteristic
545C22×C3C22×M1612yes—
546C22×C3#56812yes—
547C2×D3—22no—
548C2×D3—24no—
549C2×D3—24no—
550C2×D3—22no—
551C2×D3—22no—
552C2×D3—22no—
553C2×D3—22no—
554C2×D3—416no—
555C2×D3—42no—
556C2×D3—42no—
557C2×D3#40714yescomplemented
558C3×C4—42no—
559C3×C4#38614yes—
560C3×C4C2×#12011yescharacteristic
561C3×C4C2×#12111yescharacteristic
562C3×C4C2×#12111yescharacteristic
563C3×C4C2×#12311yescharacteristic
564Dic3—24no—
565Dic3—22no—
566Dic3—22no—
567Dic3—42no—
568C23—22no—
569C23—22no—
570C23—28no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—32no—
578C23—34no—
579C23—32no—
580C23—48no—
581C23—48no—
582C23—44no—
583C23—44no—
584C23—68no—
585C23—61no—
586C23—62no—
587C23—61no—
588C23—68no—
589C23—61no—
590C23—62no—
591C23—62no—
592C23—61no—
593C23—124no—
594C23—128no—
595C23—128no—
596C23D3×C22⋊C412yes—
597C23#67⋊C412yes—
598C23D3×M1614yescomplemented
599C23C4×#6712yes—
600C23C22×C4×D311yescharacteristic
601D4—616no—
602D4—616no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—32no—
607C2×C4—32no—
608C2×C4—34no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—68no—
616C2×C4—68no—
617C2×C4—62no—
618C2×C4—61no—
619C2×C4—61no—
620C2×C4—62no—
621C2×C4—61no—
622C2×C4—61no—
623C2×C4—68no—
624C2×C4—68no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—62no—
632C2×C4—62no—
633C2×C4—62no—
634C2×C4—64no—
635C2×C4—124no—
636C2×C4D3×C22⋊C412yes—
637C2×C4#67⋊C412yes—
638C2×C4#88314yes—
639C2×C4#88414yes—
640C2×C4C4×#6712yes—
641C2×C4#93714yes—
642C2×C4#93814yes—
643C2×C4C2×#23511yescharacteristic
644C2×C4C2×D3×D411yescharacteristic
645C2×C4C2×D3×D411yescharacteristic
646C2×C4C2×D3×D411yescharacteristic
647C2×C4C2×#23711yescharacteristic
648C2×C4C22×#6711yescharacteristic
649C8—24no—
650C8—42no—
651C8—64no—
652C8—122no—
653C2×C3—24no—
654C2×C3—44no—
655C2×C3C2×#38611yescharacteristic
656C2×C3C2×#40711yescharacteristic
657C2×C3#287911yescharacteristic
658C2×C3D4×M1612yes—
659C2×C3D4×M1612yes—
660D3—24no—
661D3—42no—
662C22—24no—
663C22—22no—
664C22—22no—
665C22—24no—
666C22—24no—
667C22—24no—
668C22—24no—
669C22—34no—
670C22—416no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—64no—
676C22—62no—
677C22—64no—
678C22—62no—
679C22—62no—
680C22—62no—
681C22—62no—
682C22—1216no—
683C22—122no—
684C22—122no—
685C22#495614yes—
686C22C2×D3×C22⋊C411yescharacteristic
687C22C2×#67⋊C411yescharacteristic
688C22C2×D3×M1612yes—
689C22#574512yes—
690C22C2×C4×#6711yescharacteristic
691C4—42no—
692C4—64no—
693C4—62no—
694C4—62no—
695C4—122no—
696C4#495614yes—
697C4C2×#88311yescharacteristic
698C4C2×#88411yescharacteristic
699C4C2×#93711yescharacteristic
700C4C2×#93811yescharacteristic
701C3#2089811yescharacteristic, complemented, Sylow
702C2—24no—
703C2—44no—
704C2—64no—
705C2—122no—
706C2#7862812yes—
707C2D3×#40711yescharacteristic
708C2#7863011yescharacteristic
709C2C2×#495611yescharacteristic
710C2M16×#6712yes—
subgroupG/H
center, FrattiniC22×C4C23×D3
commutator, socleC23×C3C23×C4
FittingC2×C3×#407C2
prime radicalC23×#67C4
cosocleC22×C3×C4C24
hypercenterC2×#407D3
hypocenterC3#20898
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×#407

Complements

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

NH ≅ G/Ntype
2. C22×D3×M16C2semidirect
3. C2×C3×#407C2semidirect
4. C2×#5207C2semidirect
5. C2×#5126C2semidirect
6. #71979C2semidirect
7. #71979C2semidirect
8. #69958C2semidirect
9. #69957C2semidirect
31. C22×ΓL(1,𝔽25)C22semidirect
32. C22×D3×C8C22semidirect
34. C2×C3×C22⋊C8C22semidirect
36. C2×#830C22semidirect
38. C2×(C2×D3)⋊C8C22semidirect
39. C2×(C2×D3)⋊C8C22semidirect
40. #4550C22semidirect
41. #4550C22semidirect
46. C2×#407D3semidirect
85. C2×C3×M16D4semidirect
112. C2×#208D4semidirect
154. C2×C22⋊C8C2×D3semidirect
202. C2×#67M16semidirect
243. C2×C3×C8C2×D4semidirect
260. C2×C3⋊C8C2×D4semidirect
307. C2×M16#67semidirect
354. C23×C3C2×M16semidirect
408. C2×Dic3C2×M16semidirect
519. C2×C8C2×#67semidirect
557. C2×D3#407semidirect
598. C23D3×M16semidirect
701. C3#20898semidirect

Maximal subgroups

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

subgroupindex
C22×C4×#672
C22×D3×M162
C2×C3×#4072
C2×#52072
C2×#51262
#719792
#699582
#699572
#208983