Finite Group Databasebeta

← #25259812

Subgroups — #25259812

Order 11008.

2486 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19137761C212yesmaximal, complemented
2#19137752C212yesmaximal, complemented
3#19137591C214yesmaximal, complemented
4#19137568C212yesmaximal, complemented
5#19137535C212yesmaximal, complemented
6#19137455C212yesmaximal, complemented
7#19137425C212yesmaximal, complemented
8#19137362C212yesmaximal, complemented
9#19137353C212yesmaximal, complemented
10#19137256C214yesmaximal, complemented
11#19137238C212yesmaximal, complemented
12#19137228C212yesmaximal, complemented
13#19136978C211yesmaximal, characteristic, complemented
14C2×#14582762C211yesmaximal, characteristic, complemented
15C2×C43×#525C211yesmaximal, characteristic
16C2×D4×Dic43C2214yes—
17C2×#13063284C2212yes—
18C22×C22⋊Dic43C2212yes—
19#14582806C2214yescomplemented
20#14582802C2214yes—
21#14582802C2214yes—
22#14582798C2214yescomplemented
23#14582792C2214yes—
24#14582792C2214yes—
25#14582792C2214yes—
26#14582792C2214yes—
27#14582792C2214yescomplemented
28#14582792C2214yescomplemented
29#14582785C2214yescomplemented
30#14582785C2214yescomplemented
31#14582785C2214yescomplemented
32#14582785C2214yescomplemented
33#14582779C2214yes—
34#14582779C2214yes—
35#14582779C2214yes—
36#14582779C2214yescomplemented
37#14582774C2214yes—
38#14582774C2214yescomplemented
39#14582767C2212yescomplemented
40#14582765C2212yescomplemented
41#14582762C2212yes—
42#14582762C2212yes—
43#14582762C2212yes—
44#14582762C2211yescharacteristic
45#14582762C2211yescharacteristic
46#14582762C2212yes—
47#14582762C2212yescomplemented
48#14582759C2212yes—
49#14582759C2212yes—
50#14582759C2212yescomplemented
51#14582755C2212yes—
52C4⋊C4×Dic43C2214yescomplemented
53C4×C4⋊Dic43C2212yescomplemented
54C22⋊C4×Dic43C2214yes—
55C22⋊C4×Dic43C2214yescomplemented
56C4×C22⋊Dic43C2211yescharacteristic
57C4×C22⋊Dic43C2212yes—
58C4×C22⋊Dic43C2211yescharacteristic
59C4×C22⋊Dic43C2212yescomplemented
60#14582745C2212yescomplemented
61C2×C43⋊#95C2212yes—
62C2×C43⋊#95C2212yes—
63C2×C43⋊#95C2212yescomplemented
64C22×#41×C43C2211yescharacteristic
65C24×C4×C43C2211yescharacteristic
66C43×#525C4116yescomplemented
67C2×#123×C43C2212yes—
68C2×C22⋊Q8×C43C2211yescharacteristic
69C2×C22⋊Q8×C43C2211yescharacteristic
70C2×#121×C43C2211yescharacteristic
71C2×#121×C43C2211yescharacteristic
72C2×#120×C43C2212yes—
73C2×C4×D4×C43C2212yes—
74C2×C4×D4×C43C2212yes—
75C2×#117×C43C2211yescharacteristic
76C23×Dic43C2314yes—
77C23×Dic43C2314yes—
78D4×Dic43—48no—
79#13063284—44no—
80C2×C4⋊Dic43C2314yes—
81C2×C4⋊Dic43C2314yes—
82C2×C4⋊Dic43C2314yes—
83C2×C4⋊Dic43C2314yes—
84C2×C22⋊Dic43—44no—
85C2×C22⋊Dic43C2314yes—
86C2×C22⋊Dic43C2312yes—
87C2×C22⋊Dic43C2312yes—
88C2×C22⋊Dic43C2314yes—
89C2×C22⋊Dic43C2314yes—
90C2×C22⋊Dic43C2312yes—
91C2×C22⋊Dic43C2312yes—
92C2×C22⋊Dic43C2314yes—
93C2×C22⋊Dic43C2314yes—
94C2×C22⋊Dic43C2314yes—
95C2×C4×Dic43C2312yes—
96C2×C4×Dic43C2314yes—
97C2×C4×Dic43C2314yes—
98C2×C4×Dic43C2314yes—
99C2×C4×Dic43C2312yes—
100C43⋊#95C2314yes—
101C43⋊#95C2314yes—
102C43⋊#95C2314yes—
103C43⋊#95C2314yes—
104C43⋊#95C2314yes—
105C43⋊#95C2314yes—
106C43⋊#95C2314yes—
107C43⋊#95C2312yes—
108C43⋊#95C2314yes—
109C43⋊#95C2314yes—
110C43⋊#95C2312yes—
111C43⋊#95C2312yes—
112C43⋊#95C2312yes—
113C43⋊#95C2312yes—
114C43⋊#95C2312yes—
115C25×C43C2311yescharacteristic
116C2×#41×C43—44no—
117C2×#41×C43C2×C418yes—
118C22×Q8×C43C2311yescharacteristic
119C22×D4×C43C2312yes—
120C22×D4×C43C2312yes—
121C22×D4×C43C2312yes—
122C22×D4×C43C2311yescharacteristic
123C23×C4×C43—44no—
124C23×C4×C43C2×C418yescomplemented
125C23×C4×C43C2311yescharacteristic
126C23×C4×C43C2311yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C23×C4×C43C2311yescharacteristic
129C23×C4×C43C2312yes—
130C23×C4×C43C2311yescharacteristic
131C23×C4×C43C2311yescharacteristic
132#123×C43C2×C4116yescomplemented
133C22⋊Q8×C43C2×C418yescomplemented
134C22⋊Q8×C43C2×C418yescomplemented
135#121×C43C2×C418yescomplemented
136#121×C43C2×C418yescomplemented
137#120×C43C2×C4116yescomplemented
138C4×D4×C43C2×C4116yescomplemented
139C4×D4×C43C2×C4116yescomplemented
140#117×C43C2×C418yescomplemented
141C2×C4⋊C4×C43C2311yescharacteristic
142C2×C4⋊C4×C43C2311yescharacteristic
143C2×C4⋊C4×C43C2312yes—
144C2×C4⋊C4×C43C2312yes—
145C2×C22⋊C4×C43C2312yes—
146C2×C22⋊C4×C43C2312yes—
147C2×C22⋊C4×C43C2312yes—
148C2×C22⋊C4×C43C2312yes—
149C2×C22⋊C4×C43C2312yes—
150C2×C42×C43C2312yes—
151C24×C43—24no—
152C24×C43—42no—
153C24×C43—42no—
154C24×C43C22×C414yes—
155C24×C43C2411yescharacteristic
156C24×C43C2411yescharacteristic
157C24×C43C2412yes—
158C24×C43C2411yescharacteristic
159#41×C43—416no—
160C2×Q8×C43—42no—
161C2×Q8×C43C22×C414yes—
162C2×D4×C43—28no—
163C2×D4×C43—42no—
164C2×D4×C43—44no—
165C2×D4×C43—42no—
166C2×D4×C43—42no—
167C2×D4×C43C22×C418yes—
168C2×D4×C43C22×C418yes—
169C2×D4×C43C22×C418yes—
170C2×D4×C43C22×C414yes—
171C22×C4×C43—24no—
172C22×C4×C43—24no—
173C22×C4×C43—416no—
174C22×C4×C43—42no—
175C22×C4×C43—42no—
176C22×C4×C43—42no—
177C22×C4×C43—42no—
178C22×C4×C43—44no—
179C22×C4×C43C22×C414yes—
180C22×C4×C43C22×C414yes—
181C22×C4×C43C22×C414yes—
182C22×C4×C43C22×C414yes—
183C22×C4×C43C22×C418yes—
184C22×C4×C43C22×C414yes—
185C22×C4×C43C22×C414yes—
186C22×C4×C43C2411yescharacteristic
187C22×C4×C43C2412yes—
188C22×C4×C43C2412yes—
189C22×C4×C43C2411yescharacteristic
190C22×C4×C43C2411yescharacteristic
191C22×C4×C43C2412yes—
192C22×C4×C43C2411yescharacteristic
193C22×Dic43—28no—
194C22×Dic43—44no—
195C22×Dic43—44no—
196C22×Dic43—44no—
197C22×Dic43—44no—
198C22×Dic43—44no—
199C22×Dic43C2414yes—
200C22×Dic43C2414yes—
201C22×Dic43C2414yes—
202C22×Dic43C2414yes—
203C4⋊C4×C43C22×C414yes—
204C4⋊C4×C43C22×C414yes—
205C4⋊C4×C43C22×C418yes—
206C4⋊C4×C43C22×C418yes—
207C22⋊C4×C43C22×C418yes—
208C22⋊C4×C43C22×C418yes—
209C22⋊C4×C43C22×C418yes—
210C22⋊C4×C43C22×C418yes—
211C22⋊C4×C43C22×C418yes—
212C42×C43C22×C418yes—
213C22⋊Dic43—28no—
214C22⋊Dic43—42no—
215C22⋊Dic43—44no—
216C22⋊Dic43—42no—
217C22⋊Dic43—44no—
218C22⋊Dic43—44no—
219C22⋊Dic43—42no—
220C22⋊Dic43—42no—
221C22⋊Dic43—44no—
222C22⋊Dic43—44no—
223C4⋊Dic43—44no—
224C4⋊Dic43—44no—
225C4⋊Dic43—44no—
226C4⋊Dic43—44no—
227C4×Dic43—44no—
228C4×Dic43—44no—
229C4×Dic43—42no—
230C4×Dic43—42no—
231C4×Dic43—44no—
232C23×C43—22no—
233C23×C43—22no—
234C23×C43—28no—
235C23×C43—22no—
236C23×C43—22no—
237C23×C43—24no—
238C23×C43—22no—
239C23×C43—22no—
240C23×C43—22no—
241C23×C43—24no—
242C23×C43—22no—
243C23×C43—22no—
244C23×C43—22no—
245C23×C43—44no—
246C23×C43—44no—
247C23×C43—416no—
248C23×C43C23×C412yes—
249C23×C43C23×C412yes—
250C23×C43C23×C414yes—
251C23×C43C23×C412yes—
252C23×C43H(5,𝔽2)14yes—
253C23×C43C2511yescharacteristic
254Q8×C43—44no—
255D4×C43—216no—
256D4×C43—48no—
257D4×C43—48no—
258D4×C43—44no—
259C2×C4×C43—28no—
260C2×C4×C43—28no—
261C2×C4×C43—22no—
262C2×C4×C43—24no—
263C2×C4×C43—22no—
264C2×C4×C43—22no—
265C2×C4×C43—22no—
266C2×C4×C43—22no—
267C2×C4×C43—24no—
268C2×C4×C43—22no—
269C2×C4×C43—44no—
270C2×C4×C43—44no—
271C2×C4×C43—44no—
272C2×C4×C43—44no—
273C2×C4×C43—48no—
274C2×C4×C43C23×C412yes—
275C2×C4×C43C23×C414yes—
276C2×C4×C43C23×C414yes—
277C2×C4×C43C23×C412yes—
278C2×C4×C43C23×C412yes—
279C2×C4×C43C23×C414yes—
280C2×C4×C43C23×C412yes—
281C2×Dic43—24no—
282C2×Dic43—24no—
283C2×Dic43—24no—
284C2×Dic43—24no—
285C2×Dic43—24no—
286C2×Dic43—24no—
287C2×Dic43—24no—
288C2×Dic43—24no—
289C2×Dic43—24no—
290C2×Dic43—24no—
291C2×Dic43—24no—
292C2×Dic43—24no—
293C2×Dic43—88no—
294C2×Dic43—88no—
295#34396—431nomaximal, Sylow
296C22×C43—22no—
297C22×C43—22no—
298C22×C43—28no—
299C22×C43—22no—
300C22×C43—22no—
301C22×C43—24no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—24no—
307C22×C43—24no—
308C22×C43—416no—
309C22×C43—44no—
310C22×C43—44no—
311C22×C43—44no—
312C22×C43—44no—
313C22×C43#51814yes—
314C22×C43C24×C411yescharacteristic
315C22×C43C2×H(5,𝔽2)12yes—
316C22×C43#58512yes—
317C22×C43#58512yes—
318C4×C43—22no—
319C4×C43—22no—
320C4×C43—22no—
321C4×C43—22no—
322C4×C43—24no—
323C4×C43—24no—
324C4×C43—24no—
325Dic43—44no—
326Dic43—44no—
327Dic43—44no—
328Dic43—44no—
329C2×#525D4311yescharacteristic
330#2378—432no—
331#2377—432no—
332#2359—434no—
333#2357—432no—
334#2353—432no—
335#2343—432no—
336#2339—432no—
337#2333—432no—
338#2332—432no—
339#2321—434no—
340#2319—432no—
341#2318—432no—
342#2280—431no—
343C2×#381—431no—
344C2×C43—24no—
345C2×C43—44no—
346C2×C43—42no—
347C2×C43—42no—
348C2×C43C2×#51811yescharacteristic
349C2×C43#342811yescharacteristic
350C2×C43#342811yescharacteristic
351C2×C43#353314yes—
352C22×#41C2×D4311yescharacteristic
353C24×C4C2×D4311yescharacteristic
354#525Dic43116yescomplemented
355C2×#123C2×D4312yes—
356C2×C22⋊Q8C2×D4311yescharacteristic
357C2×C22⋊Q8C2×D4311yescharacteristic
358C2×#121C2×D4311yescharacteristic
359C2×#121C2×D4311yescharacteristic
360C2×#120C2×D4312yes—
361C2×C4×D4—434no—
362C2×C4×D4C2×D4312yes—
363C2×C4×D4C2×D4312yes—
364C2×#117—432no—
365C2×#117C2×D4311yescharacteristic
366C22×C22⋊C4—432no—
367#391—434no—
368#390—434no—
369#390—434no—
370#389—434no—
371#388—434no—
372#388—434no—
373#388—434no—
374#388—434no—
375#388—434no—
376#388—434no—
377#387—434no—
378#387—434no—
379#387—434no—
380#387—434no—
381#386—434no—
382#386—434no—
383#386—434no—
384#386—434no—
385#385—434no—
386#385—434no—
387#383—432no—
388#382—432no—
389#381—431no—
390#381—431no—
391#381—432no—
392#381—432no—
393#381—432no—
394#381—432no—
395#381—432no—
396#380—432no—
397#380—432no—
398#380—432no—
399#379—432no—
400C4×C4⋊C4—434no—
401C4×C4⋊C4—432no—
402C4×C22⋊C4—432no—
403C4×C22⋊C4—432no—
404C4×C22⋊C4—431no—
405C4×C22⋊C4—431no—
406C4×C22⋊C4—434no—
407C4×C22⋊C4—434no—
408#376—432no—
409C2×#95—432no—
410C2×#95—432no—
411C2×#95—432no—
412C43#3439611yescharacteristic, complemented, Sylow
413C25C22×D4311yescharacteristic
414C2×#41—44no—
415C2×#41C2×Dic4318yes—
416C22×Q8C22×D4311yescharacteristic
417C22×D4C22×D4312yes—
418C22×D4C22×D4312yes—
419C22×D4C22×D4312yes—
420C22×D4C22×D4311yescharacteristic
421C23×C4—44no—
422C23×C4—434no—
423C23×C4—434no—
424C23×C4C2×Dic4318yescomplemented
425C23×C4C22×D4311yescharacteristic
426C23×C4C22×D4311yescharacteristic
427C23×C4C22×D4311yescharacteristic
428C23×C4C22×D4311yescharacteristic
429C23×C4C22×D4312yes—
430C23×C4C22×D4311yescharacteristic
431C23×C4C22×D4311yescharacteristic
432#123C2×Dic43116yescomplemented
433C22⋊Q8C2×Dic4318yescomplemented
434C22⋊Q8C2×Dic4318yescomplemented
435#121C2×Dic4318yescomplemented
436#121C2×Dic4318yescomplemented
437#120C2×Dic43116yescomplemented
438C4×D4—1728no—
439C4×D4C2×Dic43116yescomplemented
440C4×D4C2×Dic43116yescomplemented
441#117—1724no—
442#117C2×Dic4318yescomplemented
443C2×C4⋊C4—434no—
444C2×C4⋊C4—434no—
445C2×C4⋊C4—434no—
446C2×C4⋊C4—434no—
447C2×C4⋊C4C22×D4311yescharacteristic
448C2×C4⋊C4C22×D4311yescharacteristic
449C2×C4⋊C4C22×D4312yes—
450C2×C4⋊C4C22×D4312yes—
451C2×C22⋊C4—434no—
452C2×C22⋊C4—432no—
453C2×C22⋊C4—434no—
454C2×C22⋊C4—432no—
455C2×C22⋊C4—434no—
456C2×C22⋊C4—432no—
457C2×C22⋊C4—434no—
458C2×C22⋊C4—432no—
459C2×C22⋊C4—434no—
460C2×C22⋊C4—434no—
461C2×C22⋊C4—1724no—
462C2×C22⋊C4C22×D4312yes—
463C2×C22⋊C4C22×D4312yes—
464C2×C22⋊C4C22×D4312yes—
465C2×C22⋊C4C22×D4312yes—
466C2×C22⋊C4C22×D4312yes—
467C2×C42—432no—
468C2×C42—432no—
469C2×C42—434no—
470C2×C42—434no—
471C2×C42—434no—
472C2×C42C22×D4312yes—
473#95—432no—
474#95—432no—
475#95—432no—
476#95—434no—
477#95—432no—
478#95—434no—
479#95—432no—
480#95—434no—
481#95—434no—
482#95—432no—
483#95—434no—
484#95—434no—
485#95—434no—
486#95—434no—
487#95—434no—
488C24—24no—
489C24—42no—
490C24—42no—
491C24C22×Dic4314yes—
492C24C23×D4311yescharacteristic
493C24C23×D4311yescharacteristic
494C24C23×D4312yes—
495C24C23×D4311yescharacteristic
496#41—416no—
497C2×Q8—42no—
498C2×Q8C22×Dic4314yes—
499C2×D4—28no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—44no—
503C2×D4—42no—
504C2×D4C22×Dic4318yes—
505C2×D4C22×Dic4318yes—
506C2×D4C22×Dic4318yes—
507C2×D4C22×Dic4314yes—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—416no—
515C22×C4—44no—
516C22×C4—434no—
517C22×C4—434no—
518C22×C4—434no—
519C22×C4—434no—
520C22×C4—868no—
521C22×C4—1724no—
522C22×C4—1724no—
523C22×C4—1724no—
524C22×C4—1724no—
525C22×C4—1724no—
526C22×C4C22×Dic4314yes—
527C22×C4C22×Dic4314yes—
528C22×C4C22×Dic4314yes—
529C22×C4C22×Dic4314yes—
530C22×C4C22×Dic4318yes—
531C22×C4C22×Dic4314yes—
532C22×C4C22×Dic4314yes—
533C22×C4C23×D4311yescharacteristic
534C22×C4C23×D4311yescharacteristic
535C22×C4C23×D4311yescharacteristic
536C22×C4C23×D4312yes—
537C22×C4C23×D4312yes—
538C22×C4C23×D4312yes—
539C22×C4C23×D4311yescharacteristic
540C4⋊C4—1724no—
541C4⋊C4—1724no—
542C4⋊C4—1724no—
543C4⋊C4—1724no—
544C4⋊C4C22×Dic4314yes—
545C4⋊C4C22×Dic4314yes—
546C4⋊C4C22×Dic4318yes—
547C4⋊C4C22×Dic4318yes—
548C22⋊C4—868no—
549C22⋊C4—1722no—
550C22⋊C4—1724no—
551C22⋊C4—1722no—
552C22⋊C4—1724no—
553C22⋊C4—1724no—
554C22⋊C4—1722no—
555C22⋊C4—1724no—
556C22⋊C4—1722no—
557C22⋊C4—1724no—
558C22⋊C4C22×Dic4318yes—
559C22⋊C4C22×Dic4318yes—
560C22⋊C4C22×Dic4318yes—
561C22⋊C4C22×Dic4318yes—
562C22⋊C4C22×Dic4318yes—
563C42—1722no—
564C42—1722no—
565C42—1724no—
566C42—1724no—
567C42—1724no—
568C42C22×Dic4318yes—
569C23—22no—
570C23—22no—
571C23—28no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23C23×Dic4312yes—
586C23C23×Dic4312yes—
587C23C23×Dic4314yes—
588C23C23×Dic4312yes—
589C23#1306337014yes—
590C23C24×D4311yescharacteristic
591Q8—44no—
592D4—216no—
593D4—44no—
594D4—48no—
595D4—48no—
596C2×C4—28no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—864no—
612C2×C4—864no—
613C2×C4—864no—
614C2×C4—864no—
615C2×C4—864no—
616C2×C4—864no—
617C2×C4—864no—
618C2×C4—864no—
619C2×C4—864no—
620C2×C4—864no—
621C2×C4—864no—
622C2×C4—864no—
623C2×C4—3448no—
624C2×C4—3448no—
625C2×C4C23×Dic4312yes—
626C2×C4C23×Dic4314yes—
627C2×C4C23×Dic4314yes—
628C2×C4C23×Dic4312yes—
629C2×C4C23×Dic4312yes—
630C2×C4C23×Dic4314yes—
631C2×C4C23×Dic4312yes—
632C22—22no—
633C22—22no—
634C22—28no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1458337414yes—
650C22C24×Dic4311yescharacteristic
651C22C2×#1306337012yes—
652C22#1458373512yes—
653C22#1458373512yes—
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—1724no—
662C4—1724no—
663C4—1724no—
664C4—1724no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1458337411yescharacteristic
670C2#1914779811yescharacteristic
671C2#1914779811yescharacteristic
672C2#1914875914yes—
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
Fitting, prime radicalC2×C43×#525C2
socle, cosocleC23×C43C25
hypercenterC2×#525D43
hypocenterC43#34396
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #19137761C2semidirect
2. #19137752C2semidirect
3. #19137591C2semidirect
4. #19137568C2semidirect
5. #19137535C2semidirect
6. #19137455C2semidirect
7. #19137425C2semidirect
8. #19137362C2semidirect
9. #19137353C2semidirect
10. #19137256C2semidirect
11. #19137238C2semidirect
12. #19137228C2semidirect
13. #19136978C2semidirect
14. C2×#14582762C2semidirect
19. #14582806C22semidirect
22. #14582798C22semidirect
27. #14582792C22semidirect
28. #14582792C22semidirect
29. #14582785C22semidirect
30. #14582785C22semidirect
31. #14582785C22semidirect
32. #14582785C22semidirect
36. #14582779C22semidirect
38. #14582774C22semidirect
39. #14582767C22semidirect
40. #14582765C22semidirect
47. #14582762C22semidirect
50. #14582759C22semidirect
52. C4⋊C4×Dic43C22semidirect
53. C4×C4⋊Dic43C22semidirect
55. C22⋊C4×Dic43C22semidirect
59. C4×C22⋊Dic43C22semidirect
60. #14582745C22semidirect
63. C2×C43⋊#95C22semidirect
66. C43×#525C4semidirect
124. C23×C4×C43C2×C4semidirect
132. #123×C43C2×C4semidirect
133. C22⋊Q8×C43C2×C4semidirect
134. C22⋊Q8×C43C2×C4semidirect
135. #121×C43C2×C4semidirect
136. #121×C43C2×C4semidirect
137. #120×C43C2×C4semidirect
138. C4×D4×C43C2×C4semidirect
139. C4×D4×C43C2×C4semidirect
140. #117×C43C2×C4semidirect
354. #525Dic43semidirect
412. C43#34396semidirect
424. C23×C4C2×Dic43semidirect
432. #123C2×Dic43semidirect
433. C22⋊Q8C2×Dic43semidirect
434. C22⋊Q8C2×Dic43semidirect
435. #121C2×Dic43semidirect
436. #121C2×Dic43semidirect
437. #120C2×Dic43semidirect
439. C4×D4C2×Dic43semidirect
440. C4×D4C2×Dic43semidirect
442. #117C2×Dic43semidirect

Maximal subgroups

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

subgroupindex
#191377612
#191377522
#191375912
#191375682
#191375352
#191374552
#191374252
#191373622
#191373532
#191372562
#191372382
#191372282
#191369782
C2×#145827622
C2×C43×#5252
#3439643