Finite Group Databasebeta

← #26217255

Subgroups — #26217255

Order 12032.

1550 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689166C211yesmaximal, characteristic, complemented
2C2×#15689124C211yesmaximal, characteristic
3C2×#15689124C211yesmaximal, characteristic
4C2×#15689021C211yesmaximal, characteristic, complemented
5#20243656C212yesmaximal, complemented
6#20243649C212yesmaximal, complemented
7#20243642C212yesmaximal, complemented
8#20243635C212yesmaximal, complemented
9#20243109C211yesmaximal, characteristic, complemented
10#20243082C211yesmaximal, characteristic, complemented
11C2×C4×#41×C47C211yesmaximal, characteristic
12C22×#10625329C2211yescharacteristic
13C22×#10625329C2211yescharacteristic
14C22×C4⋊Dic47C2211yescharacteristic
15C22×C4⋊Dic47C2211yescharacteristic
16C22×Dic47⋊C4—21no—
17#15689166—24no—
18C2×#13093957C2212yes—
19C2×#13093955C2212yes—
20#15689124—24no—
21#15689124C418yescomplemented
22C2×#13093948C2212yes—
23C2×#13093948C2212yes—
24C2×#13093945C2212yes—
25C2×#13093945C2212yes—
26#15689021—21no—
27#15689021—21no—
28#15689021C2212yes—
29#15689021C2212yes—
30C2×C47⋊#95—21no—
31#15688885C2212yes—
32#15688885C2212yes—
33#15688878C2212yes—
34#15688878C2212yes—
35C22×#41×C47C2211yescharacteristic
36C4×#41×C47—24no—
37C4×#41×C47—24no—
38C2×C4×Q8×C47C2211yescharacteristic
39C2×C4×Q8×C47C2211yescharacteristic
40C2×C4×D4×C47—21no—
41C2×C4×D4×C47—21no—
42C2×C4×D4×C47C2211yescharacteristic
43C2×C4×D4×C47C2211yescharacteristic
44C2×#117×C47—21no—
45C2×#117×C47C2211yescharacteristic
46C22×C42×C47—21no—
47C22×C42×C47C2211yescharacteristic
48C23×Dic47—21no—
49C23×Dic47—21no—
50C2×#10625329—22no—
51C2×#10625329—22no—
52C2×#10625329—22no—
53C2×#10625329—22no—
54C2×#10625329—22no—
55C2×#10625329C2×C414yescomplemented
56C22×C47⋊C8C2312yes—
57C22×C47⋊C8C2312yes—
58C2×C4⋊Dic47—21no—
59C2×C4⋊Dic47—22no—
60C2×C4⋊Dic47—22no—
61C2×C4⋊Dic47—22no—
62C2×C4⋊Dic47—21no—
63C2×C4⋊Dic47C2×C414yescomplemented
64C2×C4⋊Dic47C2312yes—
65C2×C4⋊Dic47C2312yes—
66C2×Dic47⋊C4—22no—
67C2×Dic47⋊C4—22no—
68C2×Dic47⋊C4—44no—
69#13093957—24no—
70#13093955—24no—
71#13093948—24no—
72#13093948C2×C418yescomplemented
73#13093945—24no—
74#13093945C2×C418yescomplemented
75C47⋊#95—22no—
76C47⋊#95—22no—
77C2×#41×C47—22no—
78C2×#41×C47—22no—
79C2×#41×C47—22no—
80C2×#41×C47C2×C414yes—
81C2×#41×C47D414yes—
82C2×#41×C47Q814yes—
83C22×Q8×C47C2311yescharacteristic
84C22×D4×C47—21no—
85C22×D4×C47C2311yescharacteristic
86C23×C4×C47—21no—
87C23×C4×C47—21no—
88C23×C4×C47—21no—
89C23×C4×C47D411yescharacteristic
90C23×C4×C47D411yescharacteristic
91C23×C4×C47C2311yescharacteristic
92C4×Q8×C47—22no—
93C4×Q8×C47—22no—
94C4×Q8×C47—22no—
95C4×Q8×C47—22no—
96C4×D4×C47—28no—
97C4×D4×C47—28no—
98C4×D4×C47—22no—
99C4×D4×C47—22no—
100C4×D4×C47—22no—
101C4×D4×C47—22no—
102#117×C47—28no—
103#117×C47—22no—
104#117×C47D414yes—
105C2×C4⋊C4×C47—21no—
106C2×C4⋊C4×C47—21no—
107C2×C4⋊C4×C47C2311yescharacteristic
108C2×C4⋊C4×C47C2311yescharacteristic
109C2×C22⋊C4×C47—21no—
110C2×C22⋊C4×C47—21no—
111C2×C22⋊C4×C47—21no—
112C2×C42×C47—28no—
113C2×C42×C47—21no—
114C2×C42×C47—21no—
115C2×C42×C47—21no—
116C2×C42×C47—22no—
117C2×C42×C47—22no—
118C2×C42×C47D411yescharacteristic
119C2×C42×C47D411yescharacteristic
120C2×C42×C47C2311yescharacteristic
121C2×C42×C47C2311yescharacteristic
122C24×C47—21no—
123C24×C47C2×D411yescharacteristic
124#41×C47—28no—
125#41×C47—28no—
126#41×C47—28no—
127#41×C47C4⋊C4116yescomplemented
128C2×Q8×C47—21no—
129C2×Q8×C47—21no—
130C2×Q8×C47—21no—
131C2×Q8×C47C22×C412yes—
132C2×Q8×C47C2×D412yes—
133C2×Q8×C47C2×Q812yes—
134C2×D4×C47—24no—
135C2×D4×C47—24no—
136C2×D4×C47—24no—
137C2×D4×C47—21no—
138C2×D4×C47—21no—
139C2×D4×C47—21no—
140C2×D4×C47C22×C412yes—
141C2×D4×C47C2×D412yes—
142C2×D4×C47C2×Q812yes—
143C22×C4×C47—21no—
144C22×C4×C47—24no—
145C22×C4×C47—24no—
146C22×C4×C47—24no—
147C22×C4×C47—24no—
148C22×C4×C47—24no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—21no—
152C22×C4×C47—21no—
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47—41no—
156C22×C4×C47—41no—
157C22×C4×C47—42no—
158C22×C4×C47—42no—
159C22×C4×C47—42no—
160C22×C4×C47—42no—
161C22×C4×C47C22×C412yes—
162C22×C4×C47C2×D411yescharacteristic
163C22×C4×C47C2×D411yescharacteristic
164C22×C4×C47C2×D411yescharacteristic
165C22×C4×C47C2×D411yescharacteristic
166C22×C4×C47C2×D412yes—
167C22×C4×C47C2×D411yescharacteristic
168C22×C4×C47C2×D412yes—
169C22×C4×C47C2×Q812yes—
170C22×C4×C47#4112yes—
171C22×C4×C47#4112yes—
172C22×C4×C47C2411yescharacteristic
173C22×Dic47—24no—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—42no—
177C22×Dic47—42no—
178C22×Dic47—42no—
179C22×Dic47—42no—
180C22×Dic47—42no—
181C4⋊C4×C47—24no—
182C4⋊C4×C47—24no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47—21no—
185C4⋊C4×C47C2×D412yes—
186C4⋊C4×C47C2×D412yes—
187C22⋊C4×C47—24no—
188C22⋊C4×C47—24no—
189C22⋊C4×C47—24no—
190C42×C47—24no—
191C42×C47—24no—
192C42×C47—22no—
193C42×C47—24no—
194C42×C47—22no—
195C42×C47—21no—
196C42×C47—21no—
197C42×C47—21no—
198C42×C47—21no—
199C4⋊Dic47—24no—
200C4⋊Dic47—22no—
201C4⋊Dic47—22no—
202C4⋊Dic47—22no—
203C4⋊Dic47—42no—
204C4⋊Dic47C22×C414yes—
205Dic47⋊C4—44no—
206Dic47⋊C4—44no—
207#10625329—28no—
208#10625329—44no—
209C2×C47⋊C8—22no—
210C2×C47⋊C8—22no—
211C2×C47⋊C8—22no—
212C2×C47⋊C8—22no—
213C2×C47⋊C8—22no—
214C2×C47⋊C8C22×C414yes—
215C23×C47—21no—
216C23×C47—21no—
217C23×C47—21no—
218C23×C47—21no—
219C23×C47—22no—
220C23×C47—22no—
221C23×C47—22no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—41no—
226C23×C47C4×D412yes—
227C23×C47#12012yes—
228C23×C47C22⋊Q812yes—
229C23×C47C22×D411yescharacteristic
230Q8×C47—22no—
231Q8×C47—22no—
232Q8×C47—22no—
233Q8×C47C2×C4⋊C414yescomplemented
234D4×C47—216no—
235D4×C47—22no—
236D4×C47—22no—
237D4×C47—22no—
238D4×C47C2×C4⋊C414yescomplemented
239C2×C4×C47—22no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—216no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—21no—
252C2×C4×C47—21no—
253C2×C4×C47—21no—
254C2×C4×C47—21no—
255C2×C4×C47—44no—
256C2×C4×C47—44no—
257C2×C4×C47—48no—
258C2×C4×C47—48no—
259C2×C4×C47—41no—
260C2×C4×C47—41no—
261C2×C4×C47—41no—
262C2×C4×C47—41no—
263C2×C4×C47C2×C4⋊C414yes—
264C2×C4×C47C4×D414yes—
265C2×C4×C47C4×D412yes—
266C2×C4×C47#12012yes—
267C2×C4×C47C22⋊Q814yes—
268C2×C4×C47C22⋊Q812yes—
269C2×C4×C47#12314yes—
270C2×C4×C47AGL(1,ℤ/8)12yes—
271C2×C4×C47#13712yes—
272C2×C4×C47C23×C411yescharacteristic
273C2×C4×C47C22×D411yescharacteristic
274C2×C4×C47C22×D411yescharacteristic
275C2×C4×C47C22×Q811yescharacteristic
276C2×C4×C47C2×#4111yescharacteristic
277C2×C4×C47C2×#4111yescharacteristic
278C2×Dic47—24no—
279C2×Dic47—48no—
280C2×Dic47—42no—
281C2×Dic47—42no—
282C2×Dic47—42no—
283C2×Dic47—42no—
284C2×Dic47—42no—
285C2×Dic47—84no—
286C47⋊C8—24no—
287C47⋊C8—42no—
288#20875—471nomaximal, Sylow
289C22×C47—22no—
290C22×C47—22no—
291C22×C47—22no—
292C22×C47—22no—
293C22×C47—22no—
294C22×C47—22no—
295C22×C47—24no—
296C22×C47—42no—
297C22×C47—42no—
298C22×C47—42no—
299C22×C47—42no—
300C22×C47—42no—
301C22×C47—42no—
302C22×C47#38514yes—
303C22×C47C2×C4×D411yescharacteristic
304C22×C47C2×#12011yescharacteristic
305C22×C47C2×C22⋊Q811yescharacteristic
306C22×C47C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C47C2×#13711yescharacteristic
308C22×C47#57511yescharacteristic
309C22×C47#57511yescharacteristic
310C4×C47—22no—
311C4×C47—22no—
312C4×C47—24no—
313C4×C47—41no—
314C4×C47—42no—
315C4×C47—41no—
316C4×C47—42no—
317C4×C47#38514yes—
318C4×C47C22×C4⋊C411yescharacteristic
319C4×C47C2×C4×D411yescharacteristic
320C4×C47C2×C22⋊Q811yescharacteristic
321C4×C47C2×#12311yescharacteristic
322Dic47—44no—
323Dic47—82no—
324C2×C4×#41D4711yescharacteristic
325C2×#428—471no—
326C2×#417—471no—
327C2×#417—471no—
328C2×#389—471no—
329#1865—472no—
330#1864—472no—
331#1863—472no—
332#1862—472no—
333#1736—471no—
334#1728—471no—
335C2×C47—24no—
336C2×C47—44no—
337C2×C47C2×#38511yescharacteristic
338C2×C47C4×AGL(1,ℤ/8)11yescharacteristic
339C2×C47C4×#13711yescharacteristic
340C2×C47#300611yescharacteristic
341C2×C47#300711yescharacteristic
342C2×C47#307911yescharacteristic
343C2×C47#308011yescharacteristic
344C22×#41C2×D4711yescharacteristic
345C22×M16—471no—
346C22×M16—471no—
347C4×#41—24no—
348C4×#41—24no—
349C2×C4×Q8C2×D4711yescharacteristic
350C2×C4×Q8C2×D4711yescharacteristic
351C2×C4×D4—21no—
352C2×C4×D4—21no—
353C2×C4×D4C2×D4711yescharacteristic
354C2×C4×D4C2×D4711yescharacteristic
355C2×#117—21no—
356C2×#117C2×D4711yescharacteristic
357C22×C4⋊C4—471no—
358C22×C4⋊C4—471no—
359C22×C4⋊C4—941no—
360C22×C42—21no—
361C22×C42C2×D4711yescharacteristic
362#428—944no—
363C2×#107—472no—
364C2×#106—472no—
365#417—478no—
366#417—944no—
367C2×#103—472no—
368C2×#103—472no—
369C2×#102—472no—
370C2×#102—472no—
371#389—472no—
372#389—472no—
373#389—941no—
374#389—941no—
375C2×#95—941no—
376#340—472no—
377#340—472no—
378#336—472no—
379#336—472no—
380C47#2087511yescharacteristic, complemented, Sylow
381C2×#41—22no—
382C2×#41—22no—
383C2×#41—22no—
384C2×#41Dic9414yes—
385C2×#41C4×D4714yes—
386C2×#41C22⋊D4714yes—
387C22×Q8C22×D4711yescharacteristic
388C22×D4—21no—
389C22×D4C22×D4711yescharacteristic
390C23×C4—21no—
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—941no—
394C23×C4—941no—
395C23×C4C22⋊D4711yescharacteristic
396C23×C4C22⋊D4711yescharacteristic
397C23×C4C22×D4711yescharacteristic
398C2×M16—474no—
399C2×M16—942no—
400C2×M16—942no—
401C2×M16—942no—
402C2×M16—942no—
403C2×M16—942no—
404C22×C8—472no—
405C22×C8—472no—
406C4×Q8—22no—
407C4×Q8—22no—
408C4×Q8—22no—
409C4×Q8—22no—
410C4×D4—28no—
411C4×D4—28no—
412C4×D4—22no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—22no—
416#117—28no—
417#117—22no—
418#117C22⋊D4714yes—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—474no—
422C2×C4⋊C4—472no—
423C2×C4⋊C4—472no—
424C2×C4⋊C4—942no—
425C2×C4⋊C4—941no—
426C2×C4⋊C4—942no—
427C2×C4⋊C4—942no—
428C2×C4⋊C4—941no—
429C2×C4⋊C4—942no—
430C2×C4⋊C4—942no—
431C2×C4⋊C4—1884no—
432C2×C4⋊C4C22×D4711yescharacteristic
433C2×C4⋊C4C22×D4711yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C42—28no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42—22no—
442C2×C42—22no—
443C2×C42C22⋊D4711yescharacteristic
444C2×C42C22⋊D4711yescharacteristic
445C2×C42C22×D4711yescharacteristic
446C2×C42C22×D4711yescharacteristic
447#107—944no—
448#106—944no—
449#103—478no—
450#103—944no—
451#102—478no—
452#102—944no—
453#95—942no—
454#95—942no—
455C24—21no—
456C24C2×C22⋊D4711yescharacteristic
457#41—28no—
458#41—28no—
459#41—28no—
460#41Dic47⋊C4116yescomplemented
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8C2×Dic9412yes—
465C2×Q8C2×C4×D4712yes—
466C2×Q8C2×C22⋊D4712yes—
467C2×D4—24no—
468C2×D4—24no—
469C2×D4—24no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4C2×Dic9412yes—
474C2×D4C2×C4×D4712yes—
475C2×D4C2×C22⋊D4712yes—
476C22×C4—21no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—944no—
495C22×C4—942no—
496C22×C4—942no—
497C22×C4—1882no—
498C22×C4—1882no—
499C22×C4—1882no—
500C22×C4—1882no—
501C22×C4—1882no—
502C22×C4C2×Dic9412yes—
503C22×C4C2×C4×D4712yes—
504C22×C4#1062535012yes—
505C22×C4#1062535012yes—
506C22×C4C2×C22⋊D4711yescharacteristic
507C22×C4C2×C22⋊D4711yescharacteristic
508C22×C4C2×C22⋊D4711yescharacteristic
509C22×C4C2×C22⋊D4711yescharacteristic
510C22×C4C2×C22⋊D4712yes—
511C22×C4C2×C22⋊D4711yescharacteristic
512C22×C4C2×C22⋊D4712yes—
513C22×C4C23×D4711yescharacteristic
514M16—948no—
515M16—1884no—
516C2×C8—474no—
517C2×C8—942no—
518C2×C8—942no—
519C2×C8—942no—
520C2×C8—942no—
521C2×C8—942no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—474no—
527C4⋊C4—944no—
528C4⋊C4—942no—
529C4⋊C4—942no—
530C4⋊C4—942no—
531C4⋊C4—1884no—
532C4⋊C4—1882no—
533C4⋊C4—1884no—
534C4⋊C4C2×C22⋊D4712yes—
535C4⋊C4C2×C22⋊D4712yes—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—24no—
539C42—24no—
540C42—24no—
541C42—22no—
542C42—24no—
543C42—22no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C4×C22⋊D4712yes—
560C23#1309399312yes—
561C23#1309400312yes—
562C23C22×C22⋊D4711yescharacteristic
563Q8—22no—
564Q8—22no—
565Q8—22no—
566Q8C2×Dic47⋊C414yescomplemented
567D4—216no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4C2×Dic47⋊C414yescomplemented
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—216no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—48no—
591C2×C4—48no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—944no—
597C2×C4—3764no—
598C2×C4—1882no—
599C2×C4—1882no—
600C2×C4—1882no—
601C2×C4—1888no—
602C2×C4—1882no—
603C2×C4—1882no—
604C2×C4C2×Dic47⋊C414yes—
605C2×C4C4×C22⋊D4712yes—
606C2×C4C4×C22⋊D4714yes—
607C2×C4#1309399312yes—
608C2×C4#1309400312yes—
609C2×C4#1309400314yes—
610C2×C4#1309400714yes—
611C2×C4#1309404912yes—
612C2×C4#1309405412yes—
613C2×C4C22×C4×D4711yescharacteristic
614C2×C4C22×C22⋊D4711yescharacteristic
615C2×C4C22×C22⋊D4711yescharacteristic
616C2×C4C22×Dic9411yescharacteristic
617C2×C4C2×#1062535011yescharacteristic
618C2×C4C2×#1062535011yescharacteristic
619C8—944no—
620C8—1882no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—22no—
627C22—24no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22#1568899614yes—
635C22C2×C4×C22⋊D4711yescharacteristic
636C22C2×#1309399311yescharacteristic
637C22C2×#1309400311yescharacteristic
638C22C2×#1309404911yescharacteristic
639C22C2×#1309405411yescharacteristic
640C22#1568992111yescharacteristic
641C22#1568992111yescharacteristic
642C4—24no—
643C4—22no—
644C4—22no—
645C4—41no—
646C4—42no—
647C4—41no—
648C4—42no—
649C4—3762no—
650C4—1884no—
651C4#1568899614yes—
652C4C22×Dic47⋊C411yescharacteristic
653C4C2×C4×C22⋊D4711yescharacteristic
654C4C2×#1309400311yescharacteristic
655C4C2×#1309400711yescharacteristic
656C2—24no—
657C2—44no—
658C2C2×#1568899611yescharacteristic
659C2C4×#1309404911yescharacteristic
660C2C4×#1309405411yescharacteristic
661C2#2025264011yescharacteristic
662C2#2025264811yescharacteristic
663C2#2025320311yescharacteristic
664C2#2025321011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C4×#41×C47C2
socleC23×C47C22×D4
prime radicalC22×#41×C47C22
cosocleC22×C4×C47C24
hypercenterC2×C4×#41D47
hypocenterC47#20875
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×#15689166C2semidirect
4. C2×#15689021C2semidirect
5. #20243656C2semidirect
6. #20243649C2semidirect
7. #20243642C2semidirect
8. #20243635C2semidirect
9. #20243109C2semidirect
10. #20243082C2semidirect
21. #15689124C4semidirect
55. C2×#10625329C2×C4semidirect
63. C2×C4⋊Dic47C2×C4semidirect
72. #13093948C2×C4semidirect
74. #13093945C2×C4semidirect
127. #41×C47C4⋊C4semidirect
233. Q8×C47C2×C4⋊C4semidirect
238. D4×C47C2×C4⋊C4semidirect
380. C47#20875semidirect
460. #41Dic47⋊C4semidirect
566. Q8C2×Dic47⋊C4semidirect
571. D4C2×Dic47⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#156891662
C2×#156891242
C2×#156890212
#202436562
#202436492
#202436422
#202436352
#202431092
#202430822
C2×C4×#41×C472
#2087547