Finite Group Databasebeta

← #26005292

Subgroups — #26005292

Order 11008.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149138C218yesmaximal, complemented
2#19149128C214yesmaximal, complemented
3#19149110C214yesmaximal, complemented
4#19148949C214yesmaximal, complemented
5#19148939C211yesmaximal, characteristic, complemented
6#19148925C212yesmaximal, complemented
7#19148681C212yesmaximal, complemented
8#19148679C212yesmaximal, complemented
9#19148630C212yesmaximal, complemented
10#19148628C212yesmaximal, complemented
11#19148540C214yesmaximal, complemented
12#19148530C214yesmaximal, complemented
13#19148435C214yesmaximal, complemented
14#19148353C214yesmaximal, complemented
15#19148333C214yesmaximal, complemented
16#19148328C214yesmaximal, complemented
17#19148238C214yesmaximal, complemented
18C2×#14583450C211yesmaximal, characteristic, complemented
19#529×D43C212yesmaximal, complemented
20C43×#3544C211yesmaximal, characteristic, complemented
21C2×#13063371C2214yescomplemented
22C22×#10621902C2212yescomplemented
23#14583648C2214yescomplemented
24#14583648C2214yescomplemented
25#14583645C2218yescomplemented
26#14583641C2214yescomplemented
27#14583640C2218yescomplemented
28#14583634C2214yescomplemented
29#14583634C2212yescomplemented
30#14583632C2214yescomplemented
31#14583629C2211yescharacteristic, complemented
32#14583615C2214yescomplemented
33#14583615C2211yescharacteristic, complemented
34#14583611C2214yescomplemented
35#14583610C2214yescomplemented
36#14583610C2212yescomplemented
37#14583605C2214yescomplemented
38#14583602C2218yescomplemented
39#14583602C2218yescomplemented
40#14583602C2214yescomplemented
41#14583600C2218yescomplemented
42#14583597C2214yescomplemented
43#14583594C2218yescomplemented
44#14583593C2214yescomplemented
45#14583593C2214yescomplemented
46#14583584C2214yescomplemented
47#14583576C2218yescomplemented
48#14583576C2218yescomplemented
49#14583574C2218yescomplemented
50#14583573C2218yescomplemented
51#14583572C2218yescomplemented
52#14583571C2212yescomplemented
53#14583570C2212yescomplemented
54#14583561C2214yescomplemented
55#14583559C2214yescomplemented
56#14583552C2218yescomplemented
57#14583552C2214yescomplemented
58#14583552C2218yescomplemented
59#14583551C2218yescomplemented
60#14583551C2218yescomplemented
61#14583550C2214yescomplemented
62#14583550C2214yescomplemented
63#14583546C2214yescomplemented
64#14583545C2214yescomplemented
65#14583542C2218yescomplemented
66#14583542C2218yescomplemented
67#14583541C2218yescomplemented
68#14583541C2218yescomplemented
69#14583540C2218yescomplemented
70#14583540C2218yescomplemented
71#14583540C2214yescomplemented
72#14583540C2218yescomplemented
73#14583540C2214yescomplemented
74#14583537C2218yescomplemented
75D4×D172C2214yescomplemented
76D4×D172C2214yescomplemented
77D4×D172C2212yescomplemented
78#14583533C2214yescomplemented
79#14583533C2214yescomplemented
80#14583526C2214yescomplemented
81#14583523C2214yescomplemented
82#14583523C2214yescomplemented
83#14583523C2218yescomplemented
84#14583522C2214yescomplemented
85#14583519C2218yescomplemented
86#14583505C2214yescomplemented
87#14583505C2214yescomplemented
88#14583504C2214yescomplemented
89#14583502C2214yescomplemented
90#14583497C2218yescomplemented
91#14583497C2218yescomplemented
92#14583495C2218yescomplemented
93#14583489C2218yescomplemented
94#14583488C2218yescomplemented
95#14583488C2218yescomplemented
96#14583485C2218yescomplemented
97#14583483C2218yescomplemented
98#14583479C2218yescomplemented
99#14583473C2214yescomplemented
100#14583468C2214yescomplemented
101#14583467C2214yescomplemented
102#14583460C2218yescomplemented
103#14583460C2218yescomplemented
104#14583460C2218yescomplemented
105#14583450C2214yescomplemented
106#14583450C2214yescomplemented
107#14583450C2214yescomplemented
108#14583450C2214yescomplemented
109#14583450C2212yescomplemented
110#14583450C2212yescomplemented
111#14583446C2214yescomplemented
112C2×#13063322C2211yescharacteristic, complemented
113#14583436C2214yescomplemented
114#14583436C2212yescomplemented
115#14583435C2212yescomplemented
116#14583434C2212yescomplemented
117#14583434C2214yescomplemented
118#14583433C2212yescomplemented
119#14583432C2214yescomplemented
120#14583431C2212yescomplemented
121#14583430C2212yescomplemented
122#14583429C2214yescomplemented
123#14583428C2212yescomplemented
124#14583427C2214yescomplemented
125#14583426C2214yescomplemented
126#126×D43C2214yescomplemented
127#125×D43C2212yescomplemented
128C2×#13063314C2212yescomplemented
129#124×D43C2212yescomplemented
130#14583412C2214yescomplemented
131#14583411C2214yescomplemented
132#14583411C2214yescomplemented
133#14583406C2214yescomplemented
134#123×D43C2214yescomplemented
135#123×D43C2218yescomplemented
136C22⋊Q8×D43C2212yescomplemented
137C2×#13063300C2214yescomplemented
138C2×#13063300C2214yescomplemented
139#121×D43C2212yes—
140#121×D43C2214yescomplemented
141#14583381C2214yescomplemented
142#14583380C2214yescomplemented
143#14583373C2214yescomplemented
144#14583373C2214yescomplemented
145#14583371C2214yescomplemented
146C4×Q8×D43C2212yescomplemented
147C2×#13063287C2214yescomplemented
148C4×D4×D43C2214yescomplemented
149C4×D4×D43C2212yescomplemented
150#117×D43C2214yescomplemented
151C2×C42×D43C2211yescharacteristic, complemented
152C43×#563C2214yescomplemented
153Q82×C43C2211yescharacteristic, complemented
154C43×#555C2211yescharacteristic, complemented
155C43×#554C2212yescomplemented
156C43×#552C2214yescomplemented
157C43×#547C2214yescomplemented
158C43×#544C2214yescomplemented
159C43×#542C2214yescomplemented
160C43×#536C2214yescomplemented
161C2×C4⋊Q8×C43C2211yescharacteristic, complemented
162C43×#529C2212yescomplemented
163#13063371—416no—
164C2×#10621902—48no—
165C2×#10621902C2318yes—
166C2×#10621902C2314yes—
167C2×#10621902C2318yes—
168C2×#10621902C2314yes—
169C2×#10621902C2314yes—
170C2×#10621898C2314yes—
171C2×#10621898C2314yes—
172C2×#10621898C2318yes—
173C2×Q8×D43C2312yes—
174C22×D172C2314yes—
175C22×D172C2314yes—
176C22×D172C2314yes—
177C22×D172C2318yes—
178C22×D172C2312yes—
179C2×D4×D43C2314yes—
180C2×D4×D43C2312yes—
181C2×D4×D43C2314yes—
182C2×D4×D43C2318yes—
183C2×D4×D43C2318yes—
184C22×C4×D43C2311yescharacteristic
185C22×C4×D43C2312yes—
186C22×C4×D43C2314yes—
187C22×C4×D43C2314yes—
188#13063324C2314yes—
189#13063323C2314yes—
190#13063323C2314yes—
191#13063322C2312yes—
192#13063322C2314yes—
193#13063322C2312yes—
194#13063322C2314yes—
195#13063321C2314yes—
196#13063320C2318yes—
197#13063320C2318yes—
198#13063320C2318yes—
199#13063320C2314yes—
200#13063320C2318yes—
201#13063320C2314yes—
202#13063320C2314yes—
203#13063319C2318yes—
204#13063319C2314yes—
205#13063318C2314yes—
206#13063318C2314yes—
207#13063318C2314yes—
208#13063317C2312yes—
209#13063316C2314yes—
210#13063316C2312yes—
211#13063316C2312yes—
212#13063315C2318yes—
213#13063315C2314yes—
214#13063315C2314yes—
215#13063314C2314yes—
216#13063314C2314yes—
217#13063314C2318yes—
218#13063314C2314yes—
219#13063314C2314yes—
220#13063314C2312yes—
221#13063314C2314yes—
222#13063314C2314yes—
223#13063314C2314yes—
224#13063313C2318yes—
225#13063313C2314yes—
226#13063313C2312yes—
227#13063312C2312yes—
228#13063311C2318yes—
229#13063311C2318yes—
230#13063311C2314yes—
231#13063311C2314yes—
232#13063310C2314yes—
233#13063310C2314yes—
234#13063310C2318yes—
235#13063310C2318yes—
236#13063310C2318yes—
237#13063310C2318yes—
238#13063310C2318yes—
239#13063310C2318yes—
240#13063310C2318yes—
241#13063310C2318yes—
242#13063310C2318yes—
243#13063310C2318yes—
244#13063310C2318yes—
245#13063310C2318yes—
246#13063309C2318yes—
247#13063309C2314yes—
248#13063308C2318yes—
249#13063308C2318yes—
250#13063308C2314yes—
251#13063307C2318yes—
252#13063307C2318yes—
253#13063307C2318yes—
254#13063307C2314yes—
255#13063307C2314yes—
256#13063306C2314yes—
257#13063305C2318yes—
258#13063305C2314yes—
259#13063305C2318yes—
260#13063305C2312yes—
261#13063304C2312yes—
262#13063303C2318yes—
263#13063303C2318yes—
264#13063303C2318yes—
265#13063303C2314yes—
266#13063302C2314yes—
267#13063301C2318yes—
268#13063301C2318yes—
269#13063301C2318yes—
270#13063301C2318yes—
271#13063301C2312yes—
272#13063300C2314yes—
273#13063300C2318yes—
274#13063300C2314yes—
275#13063300C2318yes—
276#13063300C2318yes—
277#13063300C2318yes—
278#13063300C2314yes—
279#13063300C2314yes—
280#13063300C2318yes—
281#13063300C2318yes—
282#13063300C2318yes—
283#13063300C2318yes—
284#13063300C2318yes—
285#13063300C2314yes—
286#13063300C2312yes—
287#13063300C2314yes—
288#13063300C2314yes—
289#13063300C2318yes—
290#13063299C2314yes—
291#13063299C2314yes—
292#13063299C2318yes—
293#13063299C2312yes—
294#13063298C2318yes—
295#13063298C2318yes—
296#13063298C2318yes—
297#13063298C2318yes—
298#13063298C2318yes—
299#13063298C2318yes—
300#13063298C2318yes—
301#13063298C2314yes—
302#13063297C2318yes—
303#13063297C2314yes—
304#13063296C2318yes—
305#13063296C2312yes—
306#13063295C2318yes—
307#13063295C2318yes—
308#13063295C2318yes—
309#13063295C2318yes—
310#13063295C2318yes—
311#13063295C2318yes—
312#13063295C2318yes—
313#13063295C2318yes—
314#13063293C2318yes—
315#13063293C2318yes—
316Q8×Dic43C2312yes—
317C4×Dic86C2312yes—
318C4×Dic86C2314yes—
319#13063290C2314yes—
320#13063290C2312yes—
321#13063290C2314yes—
322C4×D172C2318yes—
323C4×D172C2314yes—
324C4×D172C2318yes—
325C4×D172C2318yes—
326C4×D172C2318yes—
327C4×D172C2314yes—
328C4×D172C2314yes—
329C4×D172C2312yes—
330C4×D172C2318yes—
331D4×Dic43C2314yes—
332D4×Dic43C2312yes—
333#13063287C2318yes—
334#13063287C2314yes—
335#13063287C2318yes—
336#13063287C2318yes—
337#13063287C2314yes—
338#13063287C2314yes—
339#13063287C2318yes—
340#13063287C2314yes—
341#13063287C2314yes—
342#13063287C2314yes—
343#13063287C2312yes—
344#13063287C2314yes—
345#13063287C2314yes—
346#13063287C2318yes—
347C4×C22⋊D43C2314yes—
348C4×C22⋊D43C2318yes—
349C4×C22⋊D43C2318yes—
350C4×C22⋊D43C2314yes—
351C4×C22⋊D43C2314yes—
352C4×C22⋊D43C2318yes—
353(C22⋊D43)⋊C4C2318yes—
354(C22⋊D43)⋊C4C2314yes—
355(C22⋊D43)⋊C4C2314yes—
356(C22⋊D43)⋊C4C2314yes—
357#13063284C2314yes—
358#13063284C2314yes—
359#13063283C2318yes—
360#13063283C2314yes—
361#13063283C2314yes—
362#13063283C2314yes—
363#13063282C2318yes—
364#13063282C2314yes—
365#13063282C2314yes—
366#13063281C2314yes—
367#13063281C2314yes—
368C4⋊C4×D43C2314yes—
369C4⋊C4×D43C2312yes—
370C4⋊C4×D43C2314yes—
371C4⋊C4×D43C2314yes—
372C4⋊C4×D43C2318yes—
373C4⋊C4×D43C2318yes—
374C4⋊C4×D43C2312yes—
375C4⋊C4×D43C2314yes—
376C4⋊C4×D43C2314yes—
377C2×(C2×D43)⋊C4C2318yes—
378C2×(C2×D43)⋊C4C2318yes—
379C22⋊C4×D43C2318yes—
380C22⋊C4×D43C2318yes—
381C22⋊C4×D43C2318yes—
382C22⋊C4×D43C2318yes—
383C22⋊C4×D43C2314yes—
384C22⋊C4×D43C2314yes—
385C22⋊C4×D43C2314yes—
386C22⋊C4×D43C2314yes—
387C22⋊C4×D43C2314yes—
388C2×C4×Dic43C2312yes—
389C2×C4×Dic43C2311yescharacteristic
390C42×D43C2312yes—
391C42×D43C2312yes—
392C42×D43C2312yes—
393C42×D43C2312yes—
394C42×D43C2314yes—
395C2×#41×C43C2314yes—
396C22×Q8×C43C2312yes—
397C4⋊Q8×C43C2314yes—
398C4⋊Q8×C43C2314yes—
399C4⋊Q8×C43C2314yes—
400C4⋊Q8×C43C2314yes—
401C4⋊Q8×C43C2311yescharacteristic
402C4⋊Q8×C43C2311yescharacteristic
403C4⋊Q8×C43C2312yes—
404#126×C43C2318yes—
405#126×C43C2314yes—
406#125×C43C2312yes—
407#125×C43C2318yes—
408#125×C43C2314yes—
409#124×C43C2312yes—
410#124×C43C2314yes—
411#124×C43C2314yes—
412#123×C43C2318yes—
413#123×C43C2314yes—
414#123×C43C2318yes—
415C22⋊Q8×C43C2314yes—
416C22⋊Q8×C43C2318yes—
417C22⋊Q8×C43C2318yes—
418C22⋊Q8×C43C2312yes—
419C22⋊Q8×C43C2318yes—
420#121×C43C2312yes—
421#121×C43C2314yes—
422C4×Q8×C43C2314yes—
423C4×Q8×C43C2312yes—
424C4×D4×C43C2312yes—
425C4×D4×C43C2314yes—
426C4×D4×C43C2314yes—
427#117×C43C2314yes—
428#117×C43C2314yes—
429#117×C43C2314yes—
430C2×C4⋊C4×C43C2314yes—
431C2×C4⋊C4×C43C2314yes—
432C2×C42×C43C2311yescharacteristic
433C23×D43C2414yes—
434C23×D43C2414yes—
435C23×D43C2418yes—
436C23×D43C2411yescharacteristic
437#41×C43—48no—
438C2×Q8×C43—44no—
439C2×Q8×C43C2412yes—
440C2×Q8×C43C2412yes—
441C2×Q8×C43C2414yes—
442C2×Q8×C43C2414yes—
443C2×Q8×C43C2412yes—
444C2×D4×C43C2412yes—
445C2×D4×C43C2414yes—
446C2×D4×C43C2414yes—
447C22×C4×C43C2412yes—
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2414yes—
450C22×C4×C43C2414yes—
451C22×C4×C43C2418yes—
452C2×C22⋊D43C2414yes—
453C2×C22⋊D43C2414yes—
454C2×C22⋊D43C2414yes—
455C2×C22⋊D43C2418yes—
456C2×C22⋊D43C2418yes—
457C2×C22⋊D43C2418yes—
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2412yes—
460C22×Dic43C2414yes—
461#10621902—48no—
462#10621902—416no—
463#10621902—48no—
464#10621902—416no—
465#10621902—48no—
466Q8×D43—44no—
467D4×D43—216no—
468D4×D43—416no—
469D4×D43—416no—
470D4×D43—44no—
471D4×D43—48no—
472#10621898—48no—
473#10621898—416no—
474#10621898—48no—
475C2×D172—216no—
476C2×D172—44no—
477C2×D172—416no—
478C2×D172—48no—
479C2×D172—48no—
480C2×D172C2412yes—
481C2×D172C2414yes—
482C2×D172C2414yes—
483C2×D172C2418yes—
484C2×D172C2414yes—
485C2×D172C2418yes—
486C2×D172C2418yes—
487C2×D172C2418yes—
488C2×D172C2418yes—
489C2×D172C2414yes—
490C2×D172C2414yes—
491C2×D172C2414yes—
492C2×D172C2418yes—
493C2×C4×D43—24no—
494C2×C4×D43—48no—
495C2×C4×D43—44no—
496C2×C4×D43—48no—
497C2×C4×D43C2412yes—
498C2×C4×D43C2412yes—
499C2×C4×D43C2412yes—
500C2×C4×D43C2412yes—
501C2×C4×D43C2414yes—
502C2×C4×D43C2414yes—
503C2×C4×D43C2412yes—
504C2×C4×D43C2412yes—
505C2×C4×D43C2414yes—
506C2×C4×D43C2414yes—
507C2×C4×D43C2418yes—
508C2×C4×D43C2418yes—
509C2×C4×D43C2414yes—
510C2×C4×D43C2418yes—
511C2×C4×D43C2418yes—
512C2×C4×D43C2418yes—
513C2×C4×D43C2418yes—
514C2×Dic86C2412yes—
515C2×Dic86C2414yes—
516C2×Dic86C2414yes—
517C4⋊C4×C43C2414yes—
518C4⋊C4×C43C2412yes—
519C4⋊C4×C43C2414yes—
520C4⋊C4×C43C2418yes—
521C4⋊C4×C43C2418yes—
522C4⋊C4×C43C2412yes—
523C4⋊C4×C43C2418yes—
524C4⋊C4×C43C2414yes—
525C4⋊C4×C43C2414yes—
526C4⋊C4×C43C2414yes—
527C4⋊C4×C43C2414yes—
528C4⋊C4×C43C2418yes—
529C22⋊C4×C43C2414yes—
530C22⋊C4×C43C2414yes—
531C22⋊C4×C43C2418yes—
532C22⋊C4×C43C2414yes—
533C22⋊C4×C43C2418yes—
534C22⋊C4×C43C2414yes—
535C22⋊C4×C43C2414yes—
536C42×C43C2412yes—
537C42×C43C2411yescharacteristic
538C42×C43C2411yescharacteristic
539C42×C43C2414yes—
540C42×C43C2414yes—
541C42×C43C2414yes—
542C22⋊Dic43C2414yes—
543C22⋊Dic43C2414yes—
544C22⋊Dic43C2414yes—
545C22⋊Dic43C2414yes—
546C22⋊Dic43C2414yes—
547(C2×D43)⋊C4C2414yes—
548(C2×D43)⋊C4C2414yes—
549(C2×D43)⋊C4C2414yes—
550(C2×D43)⋊C4C2418yes—
551(C2×D43)⋊C4C2418yes—
552(C2×D43)⋊C4C2414yes—
553(C2×D43)⋊C4C2414yes—
554(C2×D43)⋊C4C2414yes—
555(C2×D43)⋊C4C2414yes—
556(C2×D43)⋊C4C2414yes—
557(C2×D43)⋊C4C2414yes—
558(C2×D43)⋊C4C2414yes—
559(C2×D43)⋊C4C2418yes—
560(C2×D43)⋊C4C2418yes—
561(C2×D43)⋊C4C2418yes—
562(C2×D43)⋊C4C2418yes—
563(C2×D43)⋊C4C2418yes—
564(C2×D43)⋊C4C2418yes—
565(C2×D43)⋊C4C2418yes—
566(C2×D43)⋊C4C2418yes—
567(C2×D43)⋊C4C2418yes—
568(C2×D43)⋊C4C2418yes—
569C4⋊Dic43C2414yes—
570C4⋊Dic43C2412yes—
571C4⋊Dic43C2414yes—
572C4⋊Dic43C2414yes—
573C4⋊Dic43C2412yes—
574C4⋊Dic43C2414yes—
575C4⋊Dic43C2418yes—
576Dic43⋊C4C2414yes—
577Dic43⋊C4C2414yes—
578Dic43⋊C4C2418yes—
579Dic43⋊C4C2414yes—
580Dic43⋊C4C2414yes—
581Dic43⋊C4C2414yes—
582Dic43⋊C4C2414yes—
583Dic43⋊C4C2414yes—
584Dic43⋊C4C2414yes—
585Dic43⋊C4C2418yes—
586Dic43⋊C4C2414yes—
587Dic43⋊C4C2414yes—
588C4×Dic43C2411yescharacteristic
589C4×Dic43C2412yes—
590C4×Dic43C2412yes—
591C4×Dic43C2412yes—
592C4×Dic43C2412yes—
593C4×Dic43C2412yes—
594C4×Dic43C2411yescharacteristic
595C4×Dic43C2414yes—
596C4×Dic43C2414yes—
597C4×Dic43C2414yes—
598C4×Dic43C2414yes—
599C4×Dic43C2414yes—
600C23×C43C2514yes—
601C23×C43C2511yescharacteristic
602C22×D43—28no—
603C22×D43—28no—
604C22×D43—42no—
605C22×D43—44no—
606C22×D43—48no—
607C22×D43—44no—
608C22×D43—48no—
609C22×D43—48no—
610C22×D43—48no—
611C22×D43H(5,𝔽2)14yes—
612C22×D43C2514yes—
613C22×D43C2518yes—
614C22×D43C2512yes—
615Q8×C43—24no—
616Q8×C43—42no—
617Q8×C43—44no—
618Q8×C43—42no—
619Q8×C43—44no—
620D4×C43—28no—
621D4×C43—24no—
622D4×C43—44no—
623C2×C4×C43—22no—
624C2×C4×C43—28no—
625C2×C4×C43—24no—
626C2×C4×C43—28no—
627C2×C4×C43—48no—
628C2×C4×C43C2512yes—
629C2×C4×C43C2511yescharacteristic
630C2×C4×C43C2511yescharacteristic
631C2×C4×C43C2514yes—
632C2×C4×C43C2514yes—
633C2×C4×C43C2514yes—
634C2×C4×C43C2514yes—
635C2×C4×C43C2514yes—
636C2×C4×C43C2512yes—
637C22⋊D43—28no—
638C22⋊D43—28no—
639C22⋊D43—48no—
640C22⋊D43—48no—
641C22⋊D43—44no—
642C22⋊D43—48no—
643C2×Dic43—22no—
644C2×Dic43—42no—
645C2×Dic43—44no—
646C2×Dic43C2512yes—
647C2×Dic43C2512yes—
648C2×Dic43C2514yes—
649C2×Dic43C2512yes—
650C2×Dic43C2514yes—
651C2×Dic43C2514yes—
652D172—216no—
653D172—216no—
654D172—28no—
655D172—24no—
656D172—28no—
657D172—28no—
658D172—44no—
659D172—48no—
660D172—48no—
661D172—48no—
662D172—44no—
663D172—44no—
664D172—48no—
665C4×D43—24no—
666C4×D43—24no—
667C4×D43—28no—
668C4×D43—24no—
669C4×D43—24no—
670C4×D43—28no—
671C4×D43—42no—
672C4×D43—44no—
673C4×D43—42no—
674C4×D43—44no—
675C4×D43—48no—
676C4×D43—48no—
677C4×D43—48no—
678C4×D43—48no—
679C4×D43—48no—
680C4×D43—44no—
681C4×D43—48no—
682Dic86—24no—
683Dic86—44no—
684Dic86—44no—
685#62822—431nomaximal, Sylow
686C22×C43—22no—
687C22×C43—24no—
688C22×C43—24no—
689C22×C43—24no—
690C22×C43C2×H(5,𝔽2)12yes—
691C22×C43C2611yescharacteristic
692C2×D43—22no—
693C2×D43—22no—
694C2×D43—24no—
695C2×D43—28no—
696C2×D43—24no—
697C2×D43—24no—
698C2×D43—28no—
699C2×D43—28no—
700C2×D43—44no—
701C2×D43—88no—
702C2×D43—88no—
703C2×D43—168no—
704C2×D43C2×H(5,𝔽2)14yes—
705C4×C43—24no—
706C4×C43—21no—
707C4×C43—21no—
708C4×C43—24no—
709C4×C43—24no—
710C4×C43—24no—
711C4×C43—24no—
712C4×C43—22no—
713C4×C43#58514yes—
714Dic43—24no—
715Dic43—22no—
716Dic43—24no—
717Dic43—22no—
718Dic43—22no—
719Dic43—24no—
720#3560—438no—
721#3559—434no—
722#3558—434no—
723#3545—434no—
724#3544—431no—
725#3544D4311yescharacteristic, complemented
726#3543—432no—
727#3522—432no—
728#3522—432no—
729#3519—432no—
730#3519—432no—
731#3513—434no—
732#3513—434no—
733#3505—434no—
734#3496—434no—
735#3494—434no—
736#3494—434no—
737#3485—434no—
738C2×#532—431no—
739C2×#529—432no—
740C2×C43—22no—
741C2×C43—44no—
742C2×C43C22×H(5,𝔽2)11yescharacteristic
743C2×C43C2×#58512yes—
744D43—24no—
745D43—48no—
746D43—44no—
747C2×H(5,𝔽2)—434no—
748C22×#41—432no—
749#563—434no—
750#563—434no—
751#563C2×D4314yescomplemented
752#562—438no—
753H(3,𝔽4)—434no—
754#560—438no—
755#559—434no—
756#559—432no—
757#559—434no—
758Q82—431no—
759Q82C2×D4311yescharacteristic, complemented
760#555—434no—
761#555—431no—
762#555—434no—
763#555C2×D4311yescharacteristic, complemented
764#554—434no—
765#554—432no—
766#554—434no—
767#554C2×D4312yescomplemented
768#553—438no—
769#553—438no—
770#553—438no—
771#553—434no—
772#553—438no—
773#553—434no—
774#553—434no—
775#553—434no—
776#552—434no—
777#552C2×D4314yescomplemented
778#551—438no—
779#551—438no—
780#551—438no—
781#551—438no—
782#551—438no—
783#550—432no—
784#550—432no—
785#548—434no—
786#548—434no—
787#547—438no—
788#547—438no—
789#547—434no—
790#547—438no—
791#547—438no—
792#547—434no—
793#547—434no—
794#547C2×D4314yescomplemented
795#546—438no—
796#546—438no—
797#546—438no—
798#546—438no—
799#546—438no—
800#546—438no—
801#546—438no—
802#546—438no—
803#546—434no—
804#546—434no—
805#546—434no—
806#546—434no—
807D42—434no—
808D42—434no—
809D42—434no—
810D42—434no—
811D42—432no—
812#544—434no—
813#544C2×D4314yescomplemented
814#542—434no—
815#542—434no—
816#542—438no—
817#542—434no—
818#542—438no—
819#542C2×D4314yescomplemented
820#540—434no—
821#540—434no—
822#540—434no—
823#540—434no—
824#539—438no—
825#539—438no—
826#539—438no—
827#538—438no—
828#538—438no—
829#538—438no—
830#538—438no—
831#538—438no—
832#537—438no—
833#536—434no—
834#536C2×D4314yescomplemented
835#535—434no—
836#535—434no—
837#534—438no—
838#534—438no—
839#534—438no—
840#532—434no—
841#532—432no—
842#532—432no—
843#532—434no—
844#532—434no—
845#532—434no—
846#532—434no—
847C2×C4⋊Q8C2×D4311yescharacteristic, complemented
848C2×#127—431no—
849#529—434no—
850#529—432no—
851#529—434no—
852#529—432no—
853#529—434no—
854#529—432no—
855#529—432no—
856#529—432no—
857#529—434no—
858#529—434no—
859#529—432no—
860#529—434no—
861#529—432no—
862#529C2×D4312yescomplemented
863C2×#126—434no—
864C2×#125—432no—
865C2×#124—432no—
866C2×#124—432no—
867#525—434no—
868#525—434no—
869#525—434no—
870#525—434no—
871C2×#123—434no—
872C2×#123—438no—
873C2×C22⋊Q8—432no—
874C2×#121—432no—
875C2×#121—434no—
876C2×#121—434no—
877C2×#121—434no—
878#520—434no—
879#520—434no—
880#518—434no—
881#518—434no—
882#518—434no—
883C2×C4×Q8—432no—
884C2×C4×D4—434no—
885C2×C4×D4—432no—
886C2×C4×D4—434no—
887C2×#117—434no—
888C22×C42—431no—
889C43#6282211yescharacteristic, complemented, Sylow
890H(5,𝔽2)—17216no—
891C2×#41—434no—
892C2×#41—434no—
893C2×#41—438no—
894C2×#41—434no—
895C2×#41—438no—
896C2×#41—434no—
897C2×#41—434no—
898C2×#41—438no—
899C2×#41—1728no—
900C2×#41C22×D4314yes—
901C22×Q8—432no—
902C22×Q8C22×D4312yes—
903C22×D4—434no—
904C22×D4—432no—
905C22×D4—434no—
906C22×D4—438no—
907C22×D4—438no—
908C22×D4—434no—
909C22×D4—434no—
910C22×D4—434no—
911C22×D4—438no—
912C22×D4—432no—
913C23×C4—431no—
914C23×C4—434no—
915C23×C4—432no—
916C23×C4—434no—
917C4⋊Q8—434no—
918C4⋊Q8—434no—
919C4⋊Q8—434no—
920C4⋊Q8C22×D4314yes—
921C4⋊Q8C22×D4311yescharacteristic
922C4⋊Q8C22×D4311yescharacteristic
923C4⋊Q8C22×D4312yes—
924C4⋊Q8C22×D4314yes—
925C4⋊Q8C22×D4314yes—
926C4⋊Q8C22×D4314yes—
927#127—434no—
928#127—434no—
929#127—432no—
930#127—432no—
931#127—434no—
932#126—434no—
933#126—434no—
934#126—434no—
935#126—438no—
936#126—438no—
937#126—438no—
938#126—438no—
939#126—434no—
940#126—434no—
941#126—434no—
942#126—434no—
943#126—438no—
944#126C22×D4314yes—
945#126C22×D4318yes—
946#125—434no—
947#125—432no—
948#125—432no—
949#125—434no—
950#125—434no—
951#125—438no—
952#125—432no—
953#125C22×D4312yes—
954#125C22×D4314yes—
955#125C22×D4318yes—
956#124—432no—
957#124—434no—
958#124—434no—
959#124—434no—
960#124—434no—
961#124—434no—
962#124—438no—
963#124—434no—
964#124—434no—
965#124—432no—
966#124—434no—
967#124—434no—
968#124—438no—
969#124—438no—
970#124—432no—
971#124—434no—
972#124—438no—
973#124C22×D4312yes—
974#124C22×D4314yes—
975#124C22×D4314yes—
976#123—434no—
977#123—434no—
978#123—438no—
979#123—438no—
980#123—434no—
981#123—434no—
982#123—438no—
983#123—438no—
984#123—438no—
985#123—438no—
986#123—438no—
987#123—438no—
988#123—438no—
989#123—438no—
990#123—438no—
991#123—438no—
992#123—438no—
993#123—438no—
994#123—434no—
995#123—434no—
996#123—434no—
997#123—438no—
998#123—438no—
999#123—438no—
1000#123—438no—
1001#123C22×D4314yes—
1002#123C22×D4318yes—
1003#123C22×D4318yes—
1004C22⋊Q8—432no—
1005C22⋊Q8—438no—
1006C22⋊Q8—438no—
1007C22⋊Q8—438no—
1008C22⋊Q8—438no—
1009C22⋊Q8—432no—
1010C22⋊Q8—432no—
1011C22⋊Q8—434no—
1012C22⋊Q8—438no—
1013C22⋊Q8—434no—
1014C22⋊Q8—438no—
1015C22⋊Q8—438no—
1016C22⋊Q8—438no—
1017C22⋊Q8—438no—
1018C22⋊Q8—434no—
1019C22⋊Q8C22×D4312yes—
1020C22⋊Q8C22×D4314yes—
1021C22⋊Q8C22×D4318yes—
1022C22⋊Q8C22×D4318yes—
1023C22⋊Q8C22×D4318yes—
1024#121—432no—
1025#121—434no—
1026#121—438no—
1027#121—438no—
1028#121—432no—
1029#121—434no—
1030#121—434no—
1031#121—438no—
1032#121—432no—
1033#121—434no—
1034#121—434no—
1035#121—438no—
1036#121—434no—
1037#121—434no—
1038#121—438no—
1039#121—438no—
1040#121—438no—
1041#121—434no—
1042#121—434no—
1043#121—438no—
1044#121—434no—
1045#121—438no—
1046#121—438no—
1047#121—438no—
1048#121—438no—
1049#121—438no—
1050#121—434no—
1051#121—438no—
1052#121—438no—
1053#121—438no—
1054#121—438no—
1055#121—438no—
1056#121—438no—
1057#121—438no—
1058#121C22×D4312yes—
1059#121C22×D4314yes—
1060#120—438no—
1061#120—438no—
1062#120—438no—
1063#120—438no—
1064#120—438no—
1065#120—438no—
1066#120—438no—
1067#120—438no—
1068#120—438no—
1069#120—438no—
1070C4×Q8—432no—
1071C4×Q8—432no—
1072C4×Q8—434no—
1073C4×Q8—434no—
1074C4×Q8—432no—
1075C4×Q8—434no—
1076C4×Q8C22×D4312yes—
1077C4×Q8C22×D4314yes—
1078C4×D4—432no—
1079C4×D4—434no—
1080C4×D4—434no—
1081C4×D4—434no—
1082C4×D4—434no—
1083C4×D4—438no—
1084C4×D4—438no—
1085C4×D4—438no—
1086C4×D4—432no—
1087C4×D4—434no—
1088C4×D4—434no—
1089C4×D4—434no—
1090C4×D4—438no—
1091C4×D4—434no—
1092C4×D4—434no—
1093C4×D4—438no—
1094C4×D4—438no—
1095C4×D4—438no—
1096C4×D4—434no—
1097C4×D4—434no—
1098C4×D4—434no—
1099C4×D4—438no—
1100C4×D4—434no—
1101C4×D4—434no—
1102C4×D4—434no—
1103C4×D4—438no—
1104C4×D4—434no—
1105C4×D4—432no—
1106C4×D4—438no—
1107C4×D4—438no—
1108C4×D4—438no—
1109C4×D4—438no—
1110C4×D4—434no—
1111C4×D4—438no—
1112C4×D4—434no—
1113C4×D4C22×D4314yes—
1114C4×D4C22×D4312yes—
1115C4×D4C22×D4314yes—
1116#117—434no—
1117#117—434no—
1118#117—434no—
1119#117—434no—
1120#117—434no—
1121#117—438no—
1122#117—434no—
1123#117—434no—
1124#117—434no—
1125#117—434no—
1126#117—438no—
1127#117C22×D4314yes—
1128#117C22×D4314yes—
1129#117C22×D4314yes—
1130C2×C4⋊C4—434no—
1131C2×C4⋊C4—434no—
1132C2×C4⋊C4—432no—
1133C2×C4⋊C4—434no—
1134C2×C4⋊C4—432no—
1135C2×C4⋊C4—434no—
1136C2×C4⋊C4—434no—
1137C2×C4⋊C4—438no—
1138C2×C4⋊C4—438no—
1139C2×C4⋊C4C22×D4314yes—
1140C2×C4⋊C4C22×D4314yes—
1141C2×C22⋊C4—438no—
1142C2×C22⋊C4—438no—
1143C2×C22⋊C4—434no—
1144C2×C22⋊C4—434no—
1145C2×C22⋊C4—434no—
1146C2×C22⋊C4—434no—
1147C2×C22⋊C4—434no—
1148C2×C22⋊C4—438no—
1149C2×C22⋊C4—438no—
1150C2×C22⋊C4—438no—
1151C2×C22⋊C4—438no—
1152C2×C42—432no—
1153C2×C42—431no—
1154C2×C42—432no—
1155C2×C42—434no—
1156C2×C42—432no—
1157C2×C42—432no—
1158C2×C42—432no—
1159C2×C42C22×D4311yescharacteristic
1160C24—431no—
1161C24—434no—
1162C24—434no—
1163C24—438no—
1164#41—48no—
1165#41—1728no—
1166#41—1728no—
1167#41—17216no—
1168#41—1728no—
1169#41—17216no—
1170#41—1728no—
1171#41—17216no—
1172#41—1728no—
1173C2×Q8—44no—
1174C2×Q8—432no—
1175C2×Q8—434no—
1176C2×Q8—434no—
1177C2×Q8—1724no—
1178C2×Q8C23×D4312yes—
1179C2×Q8C23×D4314yes—
1180C2×Q8C23×D4312yes—
1181C2×Q8C23×D4314yes—
1182C2×Q8C23×D4312yes—
1183C2×D4—434no—
1184C2×D4—434no—
1185C2×D4—438no—
1186C2×D4—434no—
1187C2×D4—438no—
1188C2×D4—438no—
1189C2×D4—432no—
1190C2×D4—434no—
1191C2×D4—434no—
1192C2×D4—438no—
1193C2×D4—438no—
1194C2×D4—434no—
1195C2×D4—438no—
1196C2×D4—438no—
1197C2×D4—438no—
1198C2×D4—434no—
1199C2×D4—434no—
1200C2×D4—434no—
1201C2×D4—438no—
1202C2×D4—8616no—
1203C2×D4—8616no—
1204C2×D4—1728no—
1205C2×D4—1728no—
1206C2×D4—1724no—
1207C2×D4—17216no—
1208C2×D4—1724no—
1209C2×D4—1728no—
1210C2×D4—17216no—
1211C2×D4—17216no—
1212C2×D4C23×D4312yes—
1213C2×D4C23×D4314yes—
1214C2×D4C23×D4314yes—
1215C22×C4—431no—
1216C22×C4—432no—
1217C22×C4—434no—
1218C22×C4—432no—
1219C22×C4—432no—
1220C22×C4—432no—
1221C22×C4—432no—
1222C22×C4—434no—
1223C22×C4—434no—
1224C22×C4—432no—
1225C22×C4—432no—
1226C22×C4—434no—
1227C22×C4—434no—
1228C22×C4—438no—
1229C22×C4—438no—
1230C22×C4—434no—
1231C22×C4—438no—
1232C22×C4—438no—
1233C22×C4—438no—
1234C22×C4—438no—
1235C22×C4—864no—
1236C22×C4—1724no—
1237C22×C4—1728no—
1238C22×C4—1728no—
1239C22×C4C23×D4312yes—
1240C22×C4C23×D4311yescharacteristic
1241C22×C4C23×D4314yes—
1242C22×C4C23×D4314yes—
1243C22×C4C23×D4318yes—
1244C4⋊C4—434no—
1245C4⋊C4—434no—
1246C4⋊C4—432no—
1247C4⋊C4—434no—
1248C4⋊C4—434no—
1249C4⋊C4—438no—
1250C4⋊C4—434no—
1251C4⋊C4—434no—
1252C4⋊C4—432no—
1253C4⋊C4—434no—
1254C4⋊C4—434no—
1255C4⋊C4—434no—
1256C4⋊C4—434no—
1257C4⋊C4—434no—
1258C4⋊C4—434no—
1259C4⋊C4—438no—
1260C4⋊C4—434no—
1261C4⋊C4—434no—
1262C4⋊C4—438no—
1263C4⋊C4C23×D4312yes—
1264C4⋊C4C23×D4318yes—
1265C4⋊C4C23×D4314yes—
1266C4⋊C4C23×D4314yes—
1267C4⋊C4C23×D4314yes—
1268C4⋊C4C23×D4312yes—
1269C4⋊C4C23×D4314yes—
1270C4⋊C4C23×D4318yes—
1271C4⋊C4C23×D4314yes—
1272C4⋊C4C23×D4314yes—
1273C4⋊C4C23×D4318yes—
1274C4⋊C4C23×D4318yes—
1275C22⋊C4—434no—
1276C22⋊C4—434no—
1277C22⋊C4—434no—
1278C22⋊C4—434no—
1279C22⋊C4—434no—
1280C22⋊C4—434no—
1281C22⋊C4—434no—
1282C22⋊C4—434no—
1283C22⋊C4—438no—
1284C22⋊C4—438no—
1285C22⋊C4—438no—
1286C22⋊C4—434no—
1287C22⋊C4—434no—
1288C22⋊C4—434no—
1289C22⋊C4—434no—
1290C22⋊C4—434no—
1291C22⋊C4—434no—
1292C22⋊C4—438no—
1293C22⋊C4—434no—
1294C22⋊C4—438no—
1295C22⋊C4—438no—
1296C22⋊C4—438no—
1297C22⋊C4—438no—
1298C22⋊C4—438no—
1299C22⋊C4—438no—
1300C22⋊C4—438no—
1301C22⋊C4—438no—
1302C22⋊C4C23×D4314yes—
1303C22⋊C4C23×D4318yes—
1304C22⋊C4C23×D4314yes—
1305C22⋊C4C23×D4314yes—
1306C22⋊C4C23×D4314yes—
1307C22⋊C4C23×D4314yes—
1308C22⋊C4C23×D4318yes—
1309C42—431no—
1310C42—432no—
1311C42—432no—
1312C42—432no—
1313C42—432no—
1314C42—432no—
1315C42—431no—
1316C42—434no—
1317C42—434no—
1318C42—434no—
1319C42—434no—
1320C42—434no—
1321C42C23×D4312yes—
1322C42C23×D4311yescharacteristic
1323C42C23×D4311yescharacteristic
1324C42C23×D4314yes—
1325C42C23×D4314yes—
1326C42C23×D4314yes—
1327C23—432no—
1328C23—434no—
1329C23—434no—
1330C23—438no—
1331C23—868no—
1332C23—868no—
1333C23—1724no—
1334C23—1728no—
1335C23—1724no—
1336C23—1722no—
1337C23—1728no—
1338C23—1728no—
1339C23—1728no—
1340C23C24×D4314yes—
1341C23C24×D4311yescharacteristic
1342Q8—24no—
1343Q8—42no—
1344Q8—44no—
1345Q8—42no—
1346Q8—44no—
1347Q8—864no—
1348Q8—1724no—
1349Q8—1724no—
1350D4—28no—
1351D4—24no—
1352D4—44no—
1353D4—868no—
1354D4—8616no—
1355D4—8616no—
1356D4—868no—
1357D4—868no—
1358D4—864no—
1359D4—868no—
1360D4—868no—
1361D4—1724no—
1362D4—1728no—
1363D4—1724no—
1364D4—1724no—
1365D4—1728no—
1366D4—1728no—
1367D4—1728no—
1368D4—1728no—
1369D4—1728no—
1370D4—1724no—
1371D4—1728no—
1372C2×C4—22no—
1373C2×C4—28no—
1374C2×C4—24no—
1375C2×C4—28no—
1376C2×C4—48no—
1377C2×C4—432no—
1378C2×C4—432no—
1379C2×C4—434no—
1380C2×C4—432no—
1381C2×C4—434no—
1382C2×C4—434no—
1383C2×C4—864no—
1384C2×C4—864no—
1385C2×C4—868no—
1386C2×C4—862no—
1387C2×C4—864no—
1388C2×C4—864no—
1389C2×C4—868no—
1390C2×C4—1728no—
1391C2×C4—1728no—
1392C2×C4—1724no—
1393C2×C4—1724no—
1394C2×C4—1722no—
1395C2×C4—1722no—
1396C2×C4—1728no—
1397C2×C4—1728no—
1398C2×C4—1724no—
1399C2×C4—1728no—
1400C2×C4—1728no—
1401C2×C4—1724no—
1402C2×C4—1722no—
1403C2×C4C24×D4312yes—
1404C2×C4C24×D4311yescharacteristic
1405C2×C4C24×D4311yescharacteristic
1406C2×C4C24×D4314yes—
1407C2×C4C24×D4314yes—
1408C2×C4C24×D4314yes—
1409C2×C4C24×D4314yes—
1410C2×C4C24×D4314yes—
1411C2×C4C24×D4312yes—
1412C22—22no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—434no—
1417C22—862no—
1418C22—862no—
1419C22—868no—
1420C22—864no—
1421C22—864no—
1422C22—868no—
1423C22—868no—
1424C22—864no—
1425C22—3448no—
1426C22—3448no—
1427C22—1724no—
1428C22—6888no—
1429C22H(5,𝔽2)×D4312yes—
1430C22C25×D4311yescharacteristic
1431C4—24no—
1432C4—21no—
1433C4—21no—
1434C4—24no—
1435C4—24no—
1436C4—24no—
1437C4—22no—
1438C4—24no—
1439C4—862no—
1440C4—864no—
1441C4—862no—
1442C4—864no—
1443C4—862no—
1444C4—864no—
1445C4#1458373614yes—
1446C2—22no—
1447C2—44no—
1448C2—864no—
1449C2—1724no—
1450C2—1728no—
1451C2C2×H(5,𝔽2)×D4311yescharacteristic
1452C2C2×#1458373612yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3544C2
hypercenter#3544D43
hypocenterC43#62822
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3544

Complements

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

NH ≅ G/Ntype
1. #19149138C2semidirect
2. #19149128C2semidirect
3. #19149110C2semidirect
4. #19148949C2semidirect
5. #19148939C2semidirect
6. #19148925C2semidirect
7. #19148681C2semidirect
8. #19148679C2semidirect
9. #19148630C2semidirect
10. #19148628C2semidirect
11. #19148540C2semidirect
12. #19148530C2semidirect
13. #19148435C2semidirect
14. #19148353C2semidirect
15. #19148333C2semidirect
16. #19148328C2semidirect
17. #19148238C2semidirect
18. C2×#14583450C2semidirect
19. #529×D43C2semidirect
20. C43×#3544C2semidirect
21. C2×#13063371C22semidirect
22. C22×#10621902C22semidirect
23. #14583648C22semidirect
24. #14583648C22semidirect
25. #14583645C22semidirect
26. #14583641C22semidirect
27. #14583640C22semidirect
28. #14583634C22semidirect
29. #14583634C22semidirect
30. #14583632C22semidirect
31. #14583629C22semidirect
32. #14583615C22semidirect
33. #14583615C22semidirect
34. #14583611C22semidirect
35. #14583610C22semidirect
36. #14583610C22semidirect
37. #14583605C22semidirect
38. #14583602C22semidirect
39. #14583602C22semidirect
40. #14583602C22semidirect
41. #14583600C22semidirect
42. #14583597C22semidirect
43. #14583594C22semidirect
44. #14583593C22semidirect
45. #14583593C22semidirect
46. #14583584C22semidirect
47. #14583576C22semidirect
48. #14583576C22semidirect
49. #14583574C22semidirect
50. #14583573C22semidirect
51. #14583572C22semidirect
52. #14583571C22semidirect
53. #14583570C22semidirect
54. #14583561C22semidirect
55. #14583559C22semidirect
56. #14583552C22semidirect
57. #14583552C22semidirect
58. #14583552C22semidirect
59. #14583551C22semidirect
60. #14583551C22semidirect
61. #14583550C22semidirect
62. #14583550C22semidirect
63. #14583546C22semidirect
64. #14583545C22semidirect
65. #14583542C22semidirect
66. #14583542C22semidirect
67. #14583541C22semidirect
68. #14583541C22semidirect
69. #14583540C22semidirect
70. #14583540C22semidirect
71. #14583540C22semidirect
72. #14583540C22semidirect
73. #14583540C22semidirect
74. #14583537C22semidirect
75. D4×D172C22semidirect
76. D4×D172C22semidirect
77. D4×D172C22semidirect
78. #14583533C22semidirect
79. #14583533C22semidirect
80. #14583526C22semidirect
81. #14583523C22semidirect
82. #14583523C22semidirect
83. #14583523C22semidirect
84. #14583522C22semidirect
85. #14583519C22semidirect
86. #14583505C22semidirect
87. #14583505C22semidirect
88. #14583504C22semidirect
89. #14583502C22semidirect
90. #14583497C22semidirect
91. #14583497C22semidirect
92. #14583495C22semidirect
93. #14583489C22semidirect
94. #14583488C22semidirect
95. #14583488C22semidirect
96. #14583485C22semidirect
97. #14583483C22semidirect
98. #14583479C22semidirect
99. #14583473C22semidirect
100. #14583468C22semidirect
101. #14583467C22semidirect
102. #14583460C22semidirect
103. #14583460C22semidirect
104. #14583460C22semidirect
105. #14583450C22semidirect
106. #14583450C22semidirect
107. #14583450C22semidirect
108. #14583450C22semidirect
109. #14583450C22semidirect
110. #14583450C22semidirect
111. #14583446C22semidirect
112. C2×#13063322C22semidirect
113. #14583436C22semidirect
114. #14583436C22semidirect
115. #14583435C22semidirect
116. #14583434C22semidirect
117. #14583434C22semidirect
118. #14583433C22semidirect
119. #14583432C22semidirect
120. #14583431C22semidirect
121. #14583430C22semidirect
122. #14583429C22semidirect
123. #14583428C22semidirect
124. #14583427C22semidirect
125. #14583426C22semidirect
126. #126×D43C22semidirect
127. #125×D43C22semidirect
128. C2×#13063314C22semidirect
129. #124×D43C22semidirect
130. #14583412C22semidirect
131. #14583411C22semidirect
132. #14583411C22semidirect
133. #14583406C22semidirect
134. #123×D43C22semidirect
135. #123×D43C22semidirect
136. C22⋊Q8×D43C22semidirect
137. C2×#13063300C22semidirect
138. C2×#13063300C22semidirect
140. #121×D43C22semidirect
141. #14583381C22semidirect
142. #14583380C22semidirect
143. #14583373C22semidirect
144. #14583373C22semidirect
145. #14583371C22semidirect
146. C4×Q8×D43C22semidirect
147. C2×#13063287C22semidirect
148. C4×D4×D43C22semidirect
149. C4×D4×D43C22semidirect
150. #117×D43C22semidirect
151. C2×C42×D43C22semidirect
152. C43×#563C22semidirect
153. Q82×C43C22semidirect
154. C43×#555C22semidirect
155. C43×#554C22semidirect
156. C43×#552C22semidirect
157. C43×#547C22semidirect
158. C43×#544C22semidirect
159. C43×#542C22semidirect
160. C43×#536C22semidirect
161. C2×C4⋊Q8×C43C22semidirect
162. C43×#529C22semidirect
725. #3544D43semidirect
751. #563C2×D43semidirect
759. Q82C2×D43semidirect
763. #555C2×D43semidirect
767. #554C2×D43semidirect
777. #552C2×D43semidirect
794. #547C2×D43semidirect
813. #544C2×D43semidirect
819. #542C2×D43semidirect
834. #536C2×D43semidirect
847. C2×C4⋊Q8C2×D43semidirect
862. #529C2×D43semidirect
889. C43#62822semidirect

Maximal subgroups

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

subgroupindex
#191491382
#191491282
#191491102
#191489492
#191489392
#191489252
#191486812
#191486792
#191486302
#191486282
#191485402
#191485302
#191484352
#191483532
#191483332
#191483282
#191482382
C2×#145834502
#529×D432
C43×#35442
#6282243