Finite Group Databasebeta

← #26005278

Subgroups — #26005278

Order 11008.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149145C218yesmaximal, complemented
2#19149125C214yesmaximal, complemented
3#19149113C214yesmaximal, complemented
4#19148944C214yesmaximal, complemented
5#19148935C212yesmaximal, complemented
6#19148928C211yesmaximal, characteristic, complemented
7#19148677C212yesmaximal, complemented
8#19148675C212yesmaximal, complemented
9#19148626C212yesmaximal, complemented
10#19148618C212yesmaximal, complemented
11#19148536C214yesmaximal, complemented
12#19148520C214yesmaximal, complemented
13#19148422C214yesmaximal, complemented
14#19148351C214yesmaximal, complemented
15#19148327C214yesmaximal, complemented
16#19148322C214yesmaximal, complemented
17#19148236C214yesmaximal, complemented
18C2×#14583447C211yesmaximal, characteristic, complemented
19#529×D43C212yesmaximal, complemented
20C43×#3543C211yesmaximal, characteristic, complemented
21C2×#13063370C2214yescomplemented
22C22×#10621900C2212yescomplemented
23#14583652C2214yescomplemented
24#14583651C2218yescomplemented
25#14583644C2218yescomplemented
26#14583642C2214yescomplemented
27#14583636C2214yescomplemented
28#14583635C2214yescomplemented
29#14583635C2211yescharacteristic, complemented
30#14583631C2214yescomplemented
31Q8×Dic86C2212yescomplemented
32#14583614C2212yescomplemented
33#14583613C2218yescomplemented
34#14583609C2212yescomplemented
35#14583608C2214yescomplemented
36#14583606C2214yescomplemented
37#14583606C2212yescomplemented
38#14583601C2218yescomplemented
39#14583601C2214yescomplemented
40#14583599C2214yescomplemented
41#14583596C2218yescomplemented
42#14583596C2214yescomplemented
43#14583596C2214yescomplemented
44#14583594C2218yescomplemented
45#14583592C2218yescomplemented
46#14583591C2214yescomplemented
47#14583589C2214yescomplemented
48#14583580C2214yescomplemented
49#14583580C2218yescomplemented
50#14583580C2218yescomplemented
51#14583577C2214yescomplemented
52#14583575C2218yescomplemented
53#14583572C2218yescomplemented
54#14583569C2212yescomplemented
55#14583557C2214yescomplemented
56#14583556C2214yescomplemented
57#14583554C2214yescomplemented
58#14583553C2214yescomplemented
59#14583549C2218yescomplemented
60#14583549C2214yescomplemented
61#14583549C2214yescomplemented
62#14583549C2218yescomplemented
63#14583547C2218yescomplemented
64#14583547C2218yescomplemented
65#14583546C2218yescomplemented
66#14583543C2214yescomplemented
67#14583543C2218yescomplemented
68#14583543C2214yescomplemented
69#14583538C2218yescomplemented
70#14583538C2218yescomplemented
71#14583537C2214yescomplemented
72#14583536C2218yescomplemented
73#14583536C2218yescomplemented
74#14583536C2218yescomplemented
75#14583536C2218yescomplemented
76#14583534C2214yescomplemented
77#14583534C2211yescharacteristic, complemented
78D4×C22⋊D43C2214yescomplemented
79D4×C22⋊D43C2214yescomplemented
80#14583529C2214yescomplemented
81#14583527C2214yescomplemented
82#14583520C2214yescomplemented
83#14583518C2214yescomplemented
84#14583518C2214yescomplemented
85#14583517C2218yescomplemented
86#14583516C2214yescomplemented
87#14583516C2218yescomplemented
88#14583503C2214yescomplemented
89#14583503C2214yescomplemented
90#14583502C2214yescomplemented
91#14583494C2218yescomplemented
92#14583493C2218yescomplemented
93#14583492C2218yescomplemented
94#14583486C2218yescomplemented
95#14583484C2218yescomplemented
96#14583484C2218yescomplemented
97#14583481C2218yescomplemented
98#14583481C2218yescomplemented
99#14583478C2218yescomplemented
100#14583471C2218yescomplemented
101#14583462C2214yescomplemented
102#14583459C2218yescomplemented
103#14583459C2218yescomplemented
104#14583458C2214yescomplemented
105#14583447C2214yescomplemented
106#14583447C2214yescomplemented
107#14583447C2214yescomplemented
108#14583447C2212yescomplemented
109#14583447C2212yescomplemented
110#14583447C2214yescomplemented
111#14583446C2214yescomplemented
112C2×#13063325C2211yescharacteristic, complemented
113#14583436C2212yescomplemented
114#14583435C2212yescomplemented
115#14583434C2212yescomplemented
116#14583433C2212yescomplemented
117#14583432C2214yescomplemented
118#14583431C2214yescomplemented
119#14583431C2212yescomplemented
120#14583430C2212yescomplemented
121#14583429C2214yescomplemented
122#14583428C2212yescomplemented
123#14583428C2214yescomplemented
124#14583427C2214yescomplemented
125#14583426C2214yescomplemented
126#126×D43C2214yescomplemented
127#125×D43C2212yescomplemented
128C2×#13063312C2212yescomplemented
129#124×D43C2212yescomplemented
130#14583409C2214yescomplemented
131#14583406C2214yescomplemented
132#14583405C2218yescomplemented
133C2×#13063309C2214yescomplemented
134C2×#13063306C2214yescomplemented
135#123×D43C2214yescomplemented
136C22⋊Q8×D43C2212yescomplemented
137C2×#13063296C2214yescomplemented
138C2×#13063296C2214yescomplemented
139#121×D43C2212yes—
140#121×D43C2214yescomplemented
141#14583382C2214yescomplemented
142#14583378C2214yescomplemented
143#14583374C2214yescomplemented
144#14583372C2214yescomplemented
145#14583371C2214yescomplemented
146C4×Q8×D43C2212yescomplemented
147C2×D4×Dic43C2214yescomplemented
148C4×D4×D43C2214yescomplemented
149C4×D4×D43C2212yescomplemented
150#117×D43C2214yescomplemented
151C2×C42×D43C2211yescharacteristic, complemented
152C43×#560C2214yescomplemented
153C43×#559C2211yescharacteristic, complemented
154C43×#550C2212yescomplemented
155C43×#546C2214yescomplemented
156D42×C43C2214yescomplemented
157D42×C43C2211yescharacteristic, complemented
158C43×#540C2214yescomplemented
159C43×#535C2214yescomplemented
160C43×#534C2214yescomplemented
161C2×#127×C43C2211yescharacteristic, complemented
162C43×#529C2212yescomplemented
163#13063370—416no—
164C2×#10621898C2318yes—
165C2×#10621900—48no—
166C2×#10621900C2318yes—
167C2×#10621900C2314yes—
168C2×#10621900C2314yes—
169C2×#10621900C2318yes—
170C2×#10621900C2314yes—
171C2×#10621900C2318yes—
172C22×Dic86C2312yes—
173C2×Q8×D43C2312yes—
174C22×C22⋊D43C2314yes—
175C22×C22⋊D43C2318yes—
176C22×C22⋊D43C2314yes—
177C2×D4×D43C2314yes—
178C2×D4×D43C2312yes—
179C2×D4×D43C2314yes—
180C2×D4×D43C2318yes—
181C23×Dic43C2314yes—
182C22×C4×D43C2311yescharacteristic
183C22×C4×D43C2312yes—
184C22×C4×D43C2314yes—
185#13063325C2314yes—
186#13063325C2312yes—
187#13063325C2312yes—
188#13063325C2314yes—
189#13063324C2314yes—
190#13063324C2318yes—
191#13063324C2318yes—
192#13063321C2314yes—
193#13063320C2314yes—
194#13063320C2318yes—
195#13063320C2314yes—
196#13063320C2314yes—
197#13063319C2314yes—
198#13063318C2318yes—
199#13063318C2318yes—
200#13063318C2318yes—
201#13063318C2314yes—
202#13063318C2318yes—
203#13063318C2318yes—
204#13063318C2314yes—
205#13063318C2314yes—
206#13063317C2314yes—
207#13063317C2312yes—
208#13063316C2318yes—
209#13063316C2314yes—
210#13063316C2312yes—
211#13063316C2312yes—
212#13063315C2318yes—
213#13063315C2314yes—
214#13063315C2314yes—
215#13063314C2312yes—
216#13063313C2312yes—
217#13063312C2318yes—
218#13063312C2314yes—
219#13063312C2314yes—
220#13063312C2318yes—
221#13063312C2312yes—
222#13063312C2314yes—
223#13063312C2314yes—
224#13063312C2314yes—
225#13063311C2318yes—
226#13063311C2318yes—
227#13063311C2318yes—
228#13063311C2318yes—
229#13063311C2314yes—
230#13063311C2314yes—
231#13063310C2314yes—
232#13063310C2314yes—
233#13063309C2318yes—
234#13063309C2318yes—
235#13063309C2318yes—
236#13063309C2318yes—
237#13063309C2314yes—
238#13063308C2318yes—
239#13063308C2314yes—
240#13063307C2318yes—
241#13063307C2318yes—
242#13063307C2318yes—
243#13063307C2318yes—
244#13063307C2314yes—
245#13063307C2314yes—
246#13063307C2318yes—
247#13063306C2318yes—
248#13063306C2318yes—
249#13063306C2318yes—
250#13063306C2318yes—
251#13063306C2318yes—
252#13063306C2314yes—
253#13063306C2318yes—
254#13063306C2314yes—
255#13063306C2318yes—
256#13063306C2314yes—
257#13063305C2318yes—
258#13063305C2312yes—
259#13063304C2318yes—
260#13063304C2318yes—
261#13063304C2314yes—
262#13063304C2312yes—
263#13063303C2318yes—
264#13063303C2318yes—
265#13063303C2314yes—
266#13063302C2318yes—
267#13063302C2318yes—
268#13063302C2314yes—
269#13063302C2318yes—
270#13063302C2318yes—
271#13063302C2318yes—
272#13063302C2318yes—
273#13063302C2318yes—
274#13063301C2314yes—
275#13063301C2312yes—
276#13063300C2312yes—
277#13063299C2312yes—
278#13063299C2314yes—
279#13063298C2318yes—
280#13063298C2318yes—
281#13063298C2314yes—
282#13063297C2318yes—
283#13063297C2318yes—
284#13063297C2318yes—
285#13063297C2318yes—
286#13063297C2318yes—
287#13063297C2318yes—
288#13063297C2318yes—
289#13063297C2318yes—
290#13063297C2314yes—
291#13063296C2314yes—
292#13063296C2314yes—
293#13063296C2318yes—
294#13063296C2314yes—
295#13063296C2318yes—
296#13063296C2318yes—
297#13063296C2314yes—
298#13063296C2318yes—
299#13063296C2318yes—
300#13063296C2314yes—
301#13063296C2312yes—
302#13063296C2314yes—
303#13063296C2314yes—
304#13063296C2318yes—
305#13063294C2318yes—
306#13063294C2318yes—
307#13063293C2318yes—
308#13063293C2314yes—
309#13063293C2314yes—
310#13063293C2318yes—
311#13063293C2318yes—
312#13063293C2318yes—
313Q8×Dic43C2314yes—
314Q8×Dic43C2312yes—
315C4×Dic86C2314yes—
316C4×Dic86C2312yes—
317C4×Dic86C2314yes—
318#13063290C2312yes—
319#13063290C2314yes—
320C4×D172C2314yes—
321C4×D172C2314yes—
322C4×D172C2312yes—
323D4×Dic43C2314yes—
324D4×Dic43C2318yes—
325D4×Dic43C2314yes—
326D4×Dic43C2318yes—
327D4×Dic43C2318yes—
328D4×Dic43C2318yes—
329D4×Dic43C2314yes—
330D4×Dic43C2318yes—
331D4×Dic43C2314yes—
332D4×Dic43C2314yes—
333D4×Dic43C2314yes—
334D4×Dic43C2312yes—
335D4×Dic43C2314yes—
336D4×Dic43C2314yes—
337D4×Dic43C2318yes—
338#13063287C2314yes—
339#13063287C2312yes—
340C4×C22⋊D43C2318yes—
341C4×C22⋊D43C2314yes—
342C4×C22⋊D43C2318yes—
343C4×C22⋊D43C2318yes—
344C4×C22⋊D43C2314yes—
345C4×C22⋊D43C2318yes—
346C4×C22⋊D43C2314yes—
347(C22⋊D43)⋊C4C2318yes—
348(C22⋊D43)⋊C4C2318yes—
349(C22⋊D43)⋊C4C2314yes—
350(C22⋊D43)⋊C4C2318yes—
351(C22⋊D43)⋊C4C2318yes—
352(C22⋊D43)⋊C4C2314yes—
353(C22⋊D43)⋊C4C2314yes—
354#13063284C2318yes—
355#13063284C2314yes—
356#13063284C2314yes—
357#13063283C2314yes—
358#13063283C2314yes—
359#13063283C2314yes—
360#13063282C2314yes—
361#13063282C2314yes—
362#13063281C2318yes—
363#13063281C2314yes—
364#13063281C2318yes—
365#13063281C2314yes—
366C2×C4⋊Dic43C2314yes—
367C2×C4⋊Dic43C2314yes—
368C2×C4⋊Dic43C2318yes—
369C2×Dic43⋊C4C2318yes—
370C4⋊C4×D43C2312yes—
371C4⋊C4×D43C2314yes—
372C4⋊C4×D43C2314yes—
373C4⋊C4×D43C2312yes—
374C4⋊C4×D43C2314yes—
375C4⋊C4×D43C2314yes—
376C4⋊C4×D43C2314yes—
377C2×C22⋊Dic43C2318yes—
378C2×C22⋊Dic43C2314yes—
379C2×C22⋊Dic43C2318yes—
380C2×C22⋊Dic43C2318yes—
381C2×(C2×D43)⋊C4C2318yes—
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×D4×C43C2312yes—
397C22×D4×C43C2314yes—
398C22×D4×C43C2314yes—
399C22×D4×C43C2314yes—
400#127×C43C2311yescharacteristic
401#127×C43C2314yes—
402#127×C43C2311yescharacteristic
403#127×C43C2312yes—
404#127×C43C2314yes—
405#126×C43C2314yes—
406#125×C43C2312yes—
407#124×C43C2314yes—
408#124×C43C2312yes—
409#123×C43C2318yes—
410#123×C43C2314yes—
411#123×C43C2314yes—
412#123×C43C2314yes—
413C22⋊Q8×C43C2312yes—
414#121×C43C2312yes—
415#121×C43C2318yes—
416#121×C43C2318yes—
417#121×C43C2318yes—
418#121×C43C2318yes—
419#121×C43C2314yes—
420#121×C43C2314yes—
421#120×C43C2314yes—
422#120×C43C2318yes—
423#120×C43C2318yes—
424#120×C43C2314yes—
425C4×Q8×C43C2312yes—
426C4×D4×C43C2314yes—
427C4×D4×C43C2314yes—
428C4×D4×C43C2312yes—
429C4×D4×C43C2314yes—
430#117×C43C2314yes—
431C2×C22⋊C4×C43C2314yes—
432C2×C42×C43C2311yescharacteristic
433C24×C43C2414yes—
434C24×C43C2414yes—
435C23×D43C2414yes—
436C23×D43C2414yes—
437C23×D43C2411yescharacteristic
438#41×C43—48no—
439C2×Q8×C43C2412yes—
440C2×D4×C43—44no—
441C2×D4×C43—48no—
442C2×D4×C43—48no—
443C2×D4×C43—48no—
444C2×D4×C43C2414yes—
445C2×D4×C43C2412yes—
446C2×D4×C43C2414yes—
447C2×D4×C43C2414yes—
448C2×D4×C43C2418yes—
449C2×D4×C43C2418yes—
450C2×D4×C43C2412yes—
451C2×D4×C43C2418yes—
452C2×D4×C43C2418yes—
453C2×D4×C43C2414yes—
454C2×D4×C43C2412yes—
455C22×C4×C43C2412yes—
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2414yes—
458C22×C4×C43C2418yes—
459C22×C4×C43C2414yes—
460C2×C22⋊D43—216no—
461C2×C22⋊D43—416no—
462C2×C22⋊D43—48no—
463C2×C22⋊D43C2418yes—
464C2×C22⋊D43C2414yes—
465C2×C22⋊D43C2414yes—
466C2×C22⋊D43C2418yes—
467C2×C22⋊D43C2418yes—
468C2×C22⋊D43C2414yes—
469C2×C22⋊D43C2418yes—
470C2×C22⋊D43C2418yes—
471C2×C22⋊D43C2418yes—
472C22×Dic43—48no—
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2414yes—
475C22×Dic43C2412yes—
476C22×Dic43C2418yes—
477C22×Dic43C2418yes—
478C22×Dic43C2414yes—
479C22×Dic43C2418yes—
480C22×Dic43C2418yes—
481C22×Dic43C2414yes—
482Q8×D43—44no—
483#10621900—48no—
484#10621900—48no—
485#10621900—416no—
486#10621900—48no—
487#10621900—416no—
488#10621900—416no—
489D4×D43—216no—
490D4×D43—416no—
491D4×D43—44no—
492D4×D43—48no—
493#10621898—416no—
494C2×D172C2412yes—
495C2×D172C2414yes—
496C2×C4×D43—24no—
497C2×C4×D43—44no—
498C2×C4×D43—48no—
499C2×C4×D43C2412yes—
500C2×C4×D43C2412yes—
501C2×C4×D43C2412yes—
502C2×C4×D43C2412yes—
503C2×C4×D43C2414yes—
504C2×C4×D43C2414yes—
505C2×C4×D43C2412yes—
506C2×C4×D43C2412yes—
507C2×C4×D43C2414yes—
508C2×C4×D43C2414yes—
509C2×C4×D43C2414yes—
510C2×C4×D43C2418yes—
511C2×Dic86—44no—
512C2×Dic86C2412yes—
513C2×Dic86C2414yes—
514C2×Dic86C2418yes—
515C2×Dic86C2414yes—
516C2×Dic86C2414yes—
517C4⋊C4×C43C2414yes—
518C4⋊C4×C43C2414yes—
519C4⋊C4×C43C2412yes—
520C4⋊C4×C43C2412yes—
521C4⋊C4×C43C2414yes—
522C4⋊C4×C43C2414yes—
523C22⋊C4×C43C2414yes—
524C22⋊C4×C43C2414yes—
525C22⋊C4×C43C2414yes—
526C22⋊C4×C43C2414yes—
527C22⋊C4×C43C2414yes—
528C22⋊C4×C43C2414yes—
529C22⋊C4×C43C2414yes—
530C22⋊C4×C43C2418yes—
531C22⋊C4×C43C2418yes—
532C42×C43C2412yes—
533C42×C43C2411yescharacteristic
534C42×C43C2411yescharacteristic
535C42×C43C2414yes—
536C22⋊Dic43C2414yes—
537C22⋊Dic43C2414yes—
538C22⋊Dic43C2414yes—
539C22⋊Dic43C2414yes—
540C22⋊Dic43C2418yes—
541C22⋊Dic43C2414yes—
542C22⋊Dic43C2418yes—
543C22⋊Dic43C2418yes—
544C22⋊Dic43C2414yes—
545C22⋊Dic43C2414yes—
546C22⋊Dic43C2418yes—
547C22⋊Dic43C2418yes—
548C22⋊Dic43C2418yes—
549C22⋊Dic43C2418yes—
550C22⋊Dic43C2418yes—
551(C2×D43)⋊C4C2414yes—
552(C2×D43)⋊C4C2414yes—
553(C2×D43)⋊C4C2414yes—
554(C2×D43)⋊C4C2418yes—
555(C2×D43)⋊C4C2414yes—
556(C2×D43)⋊C4C2414yes—
557(C2×D43)⋊C4C2414yes—
558(C2×D43)⋊C4C2414yes—
559(C2×D43)⋊C4C2414yes—
560(C2×D43)⋊C4C2414yes—
561(C2×D43)⋊C4C2414yes—
562(C2×D43)⋊C4C2418yes—
563C4⋊Dic43C2414yes—
564C4⋊Dic43C2412yes—
565C4⋊Dic43C2414yes—
566C4⋊Dic43C2414yes—
567C4⋊Dic43C2414yes—
568C4⋊Dic43C2412yes—
569C4⋊Dic43C2414yes—
570C4⋊Dic43C2414yes—
571C4⋊Dic43C2418yes—
572C4⋊Dic43C2418yes—
573C4⋊Dic43C2418yes—
574Dic43⋊C4C2414yes—
575Dic43⋊C4C2414yes—
576Dic43⋊C4C2418yes—
577Dic43⋊C4C2414yes—
578Dic43⋊C4C2414yes—
579Dic43⋊C4C2414yes—
580Dic43⋊C4C2414yes—
581Dic43⋊C4C2414yes—
582Dic43⋊C4C2414yes—
583Dic43⋊C4C2414yes—
584Dic43⋊C4C2414yes—
585Dic43⋊C4C2418yes—
586Dic43⋊C4C2418yes—
587Dic43⋊C4C2418yes—
588C4×Dic43C2411yescharacteristic
589C4×Dic43C2412yes—
590C4×Dic43C2412yes—
591C4×Dic43C2412yes—
592C4×Dic43C2412yes—
593C4×Dic43C2412yes—
594C4×Dic43C2411yescharacteristic
595C4×Dic43C2414yes—
596C4×Dic43C2414yes—
597C4×Dic43C2414yes—
598C4×Dic43C2418yes—
599C4×Dic43C2418yes—
600C23×C43—28no—
601C23×C43—48no—
602C23×C43—44no—
603C23×C43—48no—
604C23×C43C2514yes—
605C23×C43C2514yes—
606C23×C43C2514yes—
607C23×C43C2511yescharacteristic
608C22×D43—28no—
609C22×D43—42no—
610C22×D43—44no—
611C22×D43—44no—
612C22×D43—44no—
613C22×D43—48no—
614C22×D43H(5,𝔽2)14yes—
615C22×D43C2514yes—
616C22×D43C2512yes—
617Q8×C43—24no—
618D4×C43—28no—
619D4×C43—24no—
620D4×C43—28no—
621D4×C43—28no—
622D4×C43—48no—
623D4×C43—42no—
624D4×C43—44no—
625D4×C43—42no—
626D4×C43—48no—
627D4×C43—48no—
628D4×C43—48no—
629C2×C4×C43—22no—
630C2×C4×C43—24no—
631C2×C4×C43—28no—
632C2×C4×C43—44no—
633C2×C4×C43—48no—
634C2×C4×C43C2514yes—
635C2×C4×C43C2512yes—
636C2×C4×C43C2514yes—
637C2×C4×C43C2511yescharacteristic
638C2×C4×C43C2511yescharacteristic
639C2×C4×C43C2514yes—
640C2×C4×C43C2512yes—
641C22⋊D43—28no—
642C22⋊D43—216no—
643C22⋊D43—28no—
644C22⋊D43—216no—
645C22⋊D43—48no—
646C22⋊D43—48no—
647C22⋊D43—44no—
648C22⋊D43—48no—
649C22⋊D43—48no—
650C2×Dic43—28no—
651C2×Dic43—22no—
652C2×Dic43—42no—
653C2×Dic43—44no—
654C2×Dic43—48no—
655C2×Dic43—48no—
656C2×Dic43—48no—
657C2×Dic43—44no—
658C2×Dic43—48no—
659C2×Dic43C2512yes—
660C2×Dic43C2514yes—
661C2×Dic43C2512yes—
662C2×Dic43C2512yes—
663C2×Dic43C2514yes—
664C2×Dic43C2514yes—
665C2×Dic43C2518yes—
666D172—28no—
667D172—24no—
668C4×D43—24no—
669C4×D43—24no—
670C4×D43—28no—
671C4×D43—24no—
672C4×D43—28no—
673C4×D43—24no—
674C4×D43—42no—
675C4×D43—44no—
676C4×D43—42no—
677C4×D43—44no—
678C4×D43—48no—
679C4×D43—44no—
680Dic86—24no—
681Dic86—44no—
682Dic86—44no—
683Dic86—48no—
684Dic86—44no—
685#62822—431nomaximal, Sylow
686C22×C43—22no—
687C22×C43—24no—
688C22×C43—24no—
689C22×C43—24no—
690C22×C43—24no—
691C22×C43—24no—
692C22×C43—28no—
693C22×C43—28no—
694C22×C43—88no—
695C22×C43—164no—
696C22×C43C2×H(5,𝔽2)12yes—
697C22×C43C2611yescharacteristic
698C2×D43—22no—
699C2×D43—22no—
700C2×D43—24no—
701C2×D43—24no—
702C2×D43—24no—
703C2×D43—44no—
704C2×D43—88no—
705C2×D43—164no—
706C2×D43C2×H(5,𝔽2)14yes—
707C4×C43—21no—
708C4×C43—21no—
709C4×C43—24no—
710C4×C43—24no—
711C4×C43—24no—
712C4×C43—22no—
713C4×C43#58514yes—
714Dic43—28no—
715Dic43—24no—
716Dic43—22no—
717Dic43—24no—
718Dic43—22no—
719Dic43—22no—
720Dic43—24no—
721#3560—438no—
722#3559—434no—
723#3558—434no—
724#3545—434no—
725#3544—432no—
726#3543—431no—
727#3543D4311yescharacteristic, complemented
728#3522—432no—
729#3522—432no—
730#3519—432no—
731#3519—432no—
732#3513—434no—
733#3513—434no—
734#3505—434no—
735#3496—434no—
736#3494—434no—
737#3494—434no—
738#3485—434no—
739C2×#532—431no—
740C2×#529—432no—
741C2×C43—22no—
742C2×C43—44no—
743C2×C43—44no—
744C2×C43—44no—
745C2×C43C22×H(5,𝔽2)11yescharacteristic
746C2×C43C2×#58512yes—
747D43—24no—
748D43—44no—
749C2×H(5,𝔽2)—434no—
750C22×#41—432no—
751#563—438no—
752#563—434no—
753#562—438no—
754H(3,𝔽4)—434no—
755#560—434no—
756#560C2×D4314yescomplemented
757#559—434no—
758#559—431no—
759#559—434no—
760#559C2×D4311yescharacteristic, complemented
761Q82—432no—
762#555—438no—
763#555—432no—
764#554—432no—
765#554—434no—
766#554—432no—
767#554—434no—
768#553—438no—
769#553—438no—
770#553—438no—
771#553—434no—
772#553—434no—
773#553—438no—
774#553—434no—
775#553—434no—
776#552—434no—
777#552—434no—
778#551—438no—
779#551—434no—
780#551—434no—
781#551—438no—
782#551—438no—
783#551—438no—
784#550—432no—
785#550C2×D4312yescomplemented
786#548—434no—
787#548—434no—
788#547—438no—
789#547—438no—
790#547—438no—
791#547—438no—
792#547—434no—
793#547—434no—
794#547—434no—
795#547—434no—
796#546—434no—
797#546—438no—
798#546—434no—
799#546—434no—
800#546—438no—
801#546—438no—
802#546—438no—
803#546—438no—
804#546—438no—
805#546—438no—
806#546—438no—
807#546C2×D4314yescomplemented
808D42—434no—
809D42—434no—
810D42—434no—
811D42—431no—
812D42C2×D4314yescomplemented
813D42C2×D4311yescharacteristic, complemented
814#544—434no—
815#544—434no—
816#542—434no—
817#542—434no—
818#542—438no—
819#542—434no—
820#542—438no—
821#542—434no—
822#540—434no—
823#540—434no—
824#540—434no—
825#540C2×D4314yescomplemented
826#539—438no—
827#539—438no—
828#539—438no—
829#538—438no—
830#538—438no—
831#538—438no—
832#538—438no—
833#538—438no—
834#537—438no—
835#536—438no—
836#535—434no—
837#535C2×D4314yescomplemented
838#534—434no—
839#534—438no—
840#534—438no—
841#534C2×D4314yescomplemented
842#532—434no—
843#532—432no—
844#532—432no—
845#532—434no—
846#532—434no—
847#532—434no—
848#532—434no—
849C2×C4⋊Q8—431no—
850C2×#127C2×D4311yescharacteristic, complemented
851#529—434no—
852#529—432no—
853#529—432no—
854#529—434no—
855#529—434no—
856#529—432no—
857#529—432no—
858#529—432no—
859#529—434no—
860#529—432no—
861#529—434no—
862#529—434no—
863#529—432no—
864#529C2×D4312yescomplemented
865C2×#126—434no—
866C2×#125—432no—
867C2×#124—432no—
868C2×#124—432no—
869#525—434no—
870#525—434no—
871#525—438no—
872C2×#123—434no—
873C2×#123—434no—
874C2×#123—434no—
875C2×C22⋊Q8—432no—
876C2×#121—434no—
877C2×#121—434no—
878C2×#121—432no—
879C2×#121—434no—
880#520—434no—
881#520—434no—
882#518—434no—
883#518—434no—
884#518—434no—
885C2×C4×Q8—432no—
886C2×C4×D4—434no—
887C2×C4×D4—434no—
888C2×C4×D4—432no—
889C2×#117—434no—
890C22×C42—431no—
891C43#6282211yescharacteristic, complemented, Sylow
892H(5,𝔽2)—17216no—
893C2×#41—434no—
894C2×#41—438no—
895C2×#41—434no—
896C2×#41—438no—
897C2×#41—434no—
898C2×#41—438no—
899C2×#41—438no—
900C2×#41—1728no—
901C2×#41C22×D4314yes—
902C22×Q8—432no—
903C22×Q8—432no—
904C22×D4—434no—
905C22×D4—438no—
906C22×D4—434no—
907C22×D4—434no—
908C22×D4—432no—
909C22×D4—434no—
910C22×D4—438no—
911C22×D4C22×D4314yes—
912C22×D4C22×D4314yes—
913C22×D4C22×D4314yes—
914C22×D4C22×D4312yes—
915C23×C4—434no—
916C23×C4—431no—
917C23×C4—434no—
918C23×C4—432no—
919C4⋊Q8—434no—
920C4⋊Q8—438no—
921C4⋊Q8—438no—
922C4⋊Q8—434no—
923C4⋊Q8—432no—
924C4⋊Q8—432no—
925C4⋊Q8—434no—
926#127—434no—
927#127C22×D4314yes—
928#127C22×D4311yescharacteristic
929#127C22×D4311yescharacteristic
930#127C22×D4312yes—
931#127C22×D4314yes—
932#126—434no—
933#126—434no—
934#126—434no—
935#126—438no—
936#126—434no—
937#126—434no—
938#126—434no—
939#126—438no—
940#126—438no—
941#126—438no—
942#126—438no—
943#126—438no—
944#126—434no—
945#126C22×D4314yes—
946#125—434no—
947#125—432no—
948#125—432no—
949#125—434no—
950#125—434no—
951#125—438no—
952#125—438no—
953#125—432no—
954#125—434no—
955#125C22×D4312yes—
956#124—432no—
957#124—432no—
958#124—434no—
959#124—434no—
960#124—434no—
961#124—434no—
962#124—434no—
963#124—438no—
964#124—438no—
965#124—434no—
966#124—434no—
967#124—438no—
968#124—438no—
969#124—438no—
970#124—438no—
971#124—432no—
972#124C22×D4312yes—
973#124C22×D4314yes—
974#123—434no—
975#123—438no—
976#123—438no—
977#123—438no—
978#123—438no—
979#123—438no—
980#123—434no—
981#123—434no—
982#123—438no—
983#123—438no—
984#123—434no—
985#123—438no—
986#123—434no—
987#123—434no—
988#123—434no—
989#123—434no—
990#123—434no—
991#123—438no—
992#123—438no—
993#123—438no—
994#123—438no—
995#123—438no—
996#123—438no—
997#123—438no—
998#123—438no—
999#123—438no—
1000#123C22×D4314yes—
1001#123C22×D4314yes—
1002#123C22×D4314yes—
1003#123C22×D4318yes—
1004C22⋊Q8—432no—
1005C22⋊Q8—434no—
1006C22⋊Q8—432no—
1007C22⋊Q8—434no—
1008C22⋊Q8—438no—
1009C22⋊Q8—438no—
1010C22⋊Q8—432no—
1011C22⋊Q8—434no—
1012C22⋊Q8—438no—
1013C22⋊Q8—438no—
1014C22⋊Q8—438no—
1015C22⋊Q8—434no—
1016C22⋊Q8—438no—
1017C22⋊Q8—438no—
1018C22⋊Q8—438no—
1019C22⋊Q8—438no—
1020C22⋊Q8—438no—
1021C22⋊Q8—438no—
1022C22⋊Q8—438no—
1023C22⋊Q8C22×D4312yes—
1024#121—432no—
1025#121—434no—
1026#121—434no—
1027#121—434no—
1028#121—438no—
1029#121—434no—
1030#121—434no—
1031#121—438no—
1032#121—438no—
1033#121—438no—
1034#121—438no—
1035#121—434no—
1036#121—434no—
1037#121—438no—
1038#121—438no—
1039#121—434no—
1040#121—438no—
1041#121—438no—
1042#121—438no—
1043#121—438no—
1044#121—438no—
1045#121—438no—
1046#121—438no—
1047#121—432no—
1048#121—434no—
1049#121—432no—
1050#121—434no—
1051#121—438no—
1052#121—438no—
1053#121C22×D4312yes—
1054#121C22×D4314yes—
1055#121C22×D4314yes—
1056#121C22×D4318yes—
1057#121C22×D4318yes—
1058#121C22×D4318yes—
1059#121C22×D4318yes—
1060#120—438no—
1061#120—438no—
1062#120—438no—
1063#120—438no—
1064#120—434no—
1065#120—438no—
1066#120—434no—
1067#120—438no—
1068#120C22×D4318yes—
1069#120C22×D4318yes—
1070#120C22×D4314yes—
1071#120C22×D4314yes—
1072C4×Q8—432no—
1073C4×Q8—434no—
1074C4×Q8—432no—
1075C4×Q8—434no—
1076C4×Q8—432no—
1077C4×Q8—434no—
1078C4×Q8—434no—
1079C4×Q8C22×D4312yes—
1080C4×D4—432no—
1081C4×D4—434no—
1082C4×D4—434no—
1083C4×D4—434no—
1084C4×D4—438no—
1085C4×D4—434no—
1086C4×D4—434no—
1087C4×D4—438no—
1088C4×D4—438no—
1089C4×D4—438no—
1090C4×D4—434no—
1091C4×D4—434no—
1092C4×D4—438no—
1093C4×D4—434no—
1094C4×D4—438no—
1095C4×D4—434no—
1096C4×D4—434no—
1097C4×D4—434no—
1098C4×D4—438no—
1099C4×D4—438no—
1100C4×D4—438no—
1101C4×D4—438no—
1102C4×D4—432no—
1103C4×D4—434no—
1104C4×D4—434no—
1105C4×D4—434no—
1106C4×D4—434no—
1107C4×D4—438no—
1108C4×D4—438no—
1109C4×D4—438no—
1110C4×D4—438no—
1111C4×D4—434no—
1112C4×D4—432no—
1113C4×D4—434no—
1114C4×D4C22×D4314yes—
1115C4×D4C22×D4312yes—
1116C4×D4C22×D4314yes—
1117C4×D4C22×D4314yes—
1118#117—434no—
1119#117—434no—
1120#117—438no—
1121#117—434no—
1122#117—434no—
1123#117—434no—
1124#117—434no—
1125#117—434no—
1126#117—438no—
1127#117—438no—
1128#117—434no—
1129#117—434no—
1130#117C22×D4314yes—
1131C2×C4⋊C4—434no—
1132C2×C4⋊C4—434no—
1133C2×C4⋊C4—438no—
1134C2×C4⋊C4—438no—
1135C2×C4⋊C4—434no—
1136C2×C4⋊C4—434no—
1137C2×C4⋊C4—432no—
1138C2×C4⋊C4—434no—
1139C2×C4⋊C4—432no—
1140C2×C4⋊C4—434no—
1141C2×C4⋊C4—434no—
1142C2×C22⋊C4—438no—
1143C2×C22⋊C4—438no—
1144C2×C22⋊C4—434no—
1145C2×C22⋊C4—438no—
1146C2×C22⋊C4—438no—
1147C2×C22⋊C4—434no—
1148C2×C22⋊C4—434no—
1149C2×C22⋊C4—434no—
1150C2×C22⋊C4—434no—
1151C2×C22⋊C4—434no—
1152C2×C22⋊C4—438no—
1153C2×C22⋊C4C22×D4314yes—
1154C2×C42—432no—
1155C2×C42—431no—
1156C2×C42—432no—
1157C2×C42—434no—
1158C2×C42—432no—
1159C2×C42—432no—
1160C2×C42—432no—
1161C2×C42C22×D4311yescharacteristic
1162C24—431no—
1163C24—434no—
1164C24—434no—
1165C24C23×D4314yes—
1166C24C23×D4314yes—
1167#41—48no—
1168#41—17216no—
1169#41—17216no—
1170#41—1728no—
1171#41—1728no—
1172#41—17216no—
1173#41—1728no—
1174#41—17216no—
1175C2×Q8—432no—
1176C2×Q8—434no—
1177C2×Q8—438no—
1178C2×Q8—434no—
1179C2×Q8—434no—
1180C2×Q8—1724no—
1181C2×Q8—1724no—
1182C2×Q8C23×D4312yes—
1183C2×D4—48no—
1184C2×D4—48no—
1185C2×D4—44no—
1186C2×D4—48no—
1187C2×D4—434no—
1188C2×D4—438no—
1189C2×D4—438no—
1190C2×D4—434no—
1191C2×D4—438no—
1192C2×D4—434no—
1193C2×D4—438no—
1194C2×D4—438no—
1195C2×D4—438no—
1196C2×D4—432no—
1197C2×D4—434no—
1198C2×D4—8616no—
1199C2×D4—8616no—
1200C2×D4—1724no—
1201C2×D4—1728no—
1202C2×D4—17216no—
1203C2×D4—1728no—
1204C2×D4—17216no—
1205C2×D4C23×D4312yes—
1206C2×D4C23×D4314yes—
1207C2×D4C23×D4314yes—
1208C2×D4C23×D4314yes—
1209C2×D4C23×D4318yes—
1210C2×D4C23×D4318yes—
1211C2×D4C23×D4318yes—
1212C2×D4C23×D4312yes—
1213C2×D4C23×D4314yes—
1214C2×D4C23×D4312yes—
1215C2×D4C23×D4318yes—
1216C22×C4—431no—
1217C22×C4—434no—
1218C22×C4—432no—
1219C22×C4—438no—
1220C22×C4—434no—
1221C22×C4—438no—
1222C22×C4—438no—
1223C22×C4—438no—
1224C22×C4—434no—
1225C22×C4—432no—
1226C22×C4—432no—
1227C22×C4—432no—
1228C22×C4—432no—
1229C22×C4—434no—
1230C22×C4—434no—
1231C22×C4—432no—
1232C22×C4—432no—
1233C22×C4—434no—
1234C22×C4—434no—
1235C22×C4—434no—
1236C22×C4—438no—
1237C22×C4—864no—
1238C22×C4—1724no—
1239C22×C4—1728no—
1240C22×C4—1728no—
1241C22×C4C23×D4312yes—
1242C22×C4C23×D4311yescharacteristic
1243C22×C4C23×D4314yes—
1244C22×C4C23×D4318yes—
1245C22×C4C23×D4314yes—
1246C4⋊C4—434no—
1247C4⋊C4—434no—
1248C4⋊C4—432no—
1249C4⋊C4—434no—
1250C4⋊C4—434no—
1251C4⋊C4—434no—
1252C4⋊C4—434no—
1253C4⋊C4—438no—
1254C4⋊C4—438no—
1255C4⋊C4—434no—
1256C4⋊C4—434no—
1257C4⋊C4—432no—
1258C4⋊C4—434no—
1259C4⋊C4—434no—
1260C4⋊C4—434no—
1261C4⋊C4—434no—
1262C4⋊C4—434no—
1263C4⋊C4—438no—
1264C4⋊C4—434no—
1265C4⋊C4—438no—
1266C4⋊C4—438no—
1267C4⋊C4—434no—
1268C4⋊C4—434no—
1269C4⋊C4—438no—
1270C4⋊C4—438no—
1271C4⋊C4C23×D4312yes—
1272C4⋊C4C23×D4312yes—
1273C4⋊C4C23×D4314yes—
1274C4⋊C4C23×D4314yes—
1275C4⋊C4C23×D4314yes—
1276C4⋊C4C23×D4314yes—
1277C22⋊C4—434no—
1278C22⋊C4—434no—
1279C22⋊C4—434no—
1280C22⋊C4—434no—
1281C22⋊C4—438no—
1282C22⋊C4—438no—
1283C22⋊C4—438no—
1284C22⋊C4—438no—
1285C22⋊C4—434no—
1286C22⋊C4—438no—
1287C22⋊C4—438no—
1288C22⋊C4—438no—
1289C22⋊C4—434no—
1290C22⋊C4—434no—
1291C22⋊C4—438no—
1292C22⋊C4—434no—
1293C22⋊C4—434no—
1294C22⋊C4—434no—
1295C22⋊C4—438no—
1296C22⋊C4—434no—
1297C22⋊C4—434no—
1298C22⋊C4—434no—
1299C22⋊C4—434no—
1300C22⋊C4—434no—
1301C22⋊C4—434no—
1302C22⋊C4—438no—
1303C22⋊C4—434no—
1304C22⋊C4C23×D4314yes—
1305C22⋊C4C23×D4314yes—
1306C22⋊C4C23×D4314yes—
1307C22⋊C4C23×D4314yes—
1308C22⋊C4C23×D4314yes—
1309C22⋊C4C23×D4318yes—
1310C22⋊C4C23×D4314yes—
1311C22⋊C4C23×D4314yes—
1312C22⋊C4C23×D4318yes—
1313C42—431no—
1314C42—432no—
1315C42—432no—
1316C42—432no—
1317C42—432no—
1318C42—432no—
1319C42—431no—
1320C42—434no—
1321C42—434no—
1322C42—434no—
1323C42—438no—
1324C42—438no—
1325C42C23×D4312yes—
1326C42C23×D4311yescharacteristic
1327C42C23×D4311yescharacteristic
1328C42C23×D4314yes—
1329C23—28no—
1330C23—48no—
1331C23—44no—
1332C23—48no—
1333C23—432no—
1334C23—434no—
1335C23—434no—
1336C23—868no—
1337C23—1724no—
1338C23—1724no—
1339C23—1722no—
1340C23—1724no—
1341C23—1728no—
1342C23C24×D4314yes—
1343C23C24×D4314yes—
1344C23C24×D4314yes—
1345C23C24×D4311yescharacteristic
1346Q8—24no—
1347Q8—864no—
1348Q8—1724no—
1349Q8—1724no—
1350Q8—1724no—
1351Q8—1728no—
1352D4—28no—
1353D4—24no—
1354D4—28no—
1355D4—28no—
1356D4—48no—
1357D4—42no—
1358D4—44no—
1359D4—42no—
1360D4—48no—
1361D4—48no—
1362D4—48no—
1363D4—868no—
1364D4—868no—
1365D4—8616no—
1366D4—8616no—
1367D4—868no—
1368D4—864no—
1369D4—1728no—
1370D4—1728no—
1371D4—1728no—
1372D4—1724no—
1373D4—1728no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—28no—
1377C2×C4—44no—
1378C2×C4—48no—
1379C2×C4—432no—
1380C2×C4—432no—
1381C2×C4—434no—
1382C2×C4—432no—
1383C2×C4—434no—
1384C2×C4—438no—
1385C2×C4—434no—
1386C2×C4—864no—
1387C2×C4—864no—
1388C2×C4—868no—
1389C2×C4—862no—
1390C2×C4—868no—
1391C2×C4—864no—
1392C2×C4—864no—
1393C2×C4—868no—
1394C2×C4—1724no—
1395C2×C4—1724no—
1396C2×C4—1722no—
1397C2×C4—1722no—
1398C2×C4—1728no—
1399C2×C4—1724no—
1400C2×C4—1728no—
1401C2×C4—1728no—
1402C2×C4—1724no—
1403C2×C4—1722no—
1404C2×C4—1724no—
1405C2×C4—1728no—
1406C2×C4—1728no—
1407C2×C4C24×D4314yes—
1408C2×C4C24×D4312yes—
1409C2×C4C24×D4311yescharacteristic
1410C2×C4C24×D4311yescharacteristic
1411C2×C4C24×D4314yes—
1412C2×C4C24×D4314yes—
1413C2×C4C24×D4312yes—
1414C22—22no—
1415C22—24no—
1416C22—24no—
1417C22—24no—
1418C22—24no—
1419C22—28no—
1420C22—28no—
1421C22—24no—
1422C22—88no—
1423C22—164no—
1424C22—434no—
1425C22—862no—
1426C22—862no—
1427C22—864no—
1428C22—864no—
1429C22—864no—
1430C22—3448no—
1431C22—1724no—
1432C22—6884no—
1433C22H(5,𝔽2)×D4312yes—
1434C22C25×D4311yescharacteristic
1435C4—21no—
1436C4—21no—
1437C4—24no—
1438C4—24no—
1439C4—22no—
1440C4—24no—
1441C4—862no—
1442C4—864no—
1443C4—868no—
1444C4—862no—
1445C4—864no—
1446C4—862no—
1447C4—864no—
1448C4#1458373414yes—
1449C2—22no—
1450C2—44no—
1451C2—44no—
1452C2—44no—
1453C2—864no—
1454C2—1724no—
1455C2C2×H(5,𝔽2)×D4311yescharacteristic
1456C2C2×#1458373412yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3543C2
hypercenter#3543D43
hypocenterC43#62822
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3543

Complements

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

NH ≅ G/Ntype
1. #19149145C2semidirect
2. #19149125C2semidirect
3. #19149113C2semidirect
4. #19148944C2semidirect
5. #19148935C2semidirect
6. #19148928C2semidirect
7. #19148677C2semidirect
8. #19148675C2semidirect
9. #19148626C2semidirect
10. #19148618C2semidirect
11. #19148536C2semidirect
12. #19148520C2semidirect
13. #19148422C2semidirect
14. #19148351C2semidirect
15. #19148327C2semidirect
16. #19148322C2semidirect
17. #19148236C2semidirect
18. C2×#14583447C2semidirect
19. #529×D43C2semidirect
20. C43×#3543C2semidirect
21. C2×#13063370C22semidirect
22. C22×#10621900C22semidirect
23. #14583652C22semidirect
24. #14583651C22semidirect
25. #14583644C22semidirect
26. #14583642C22semidirect
27. #14583636C22semidirect
28. #14583635C22semidirect
29. #14583635C22semidirect
30. #14583631C22semidirect
31. Q8×Dic86C22semidirect
32. #14583614C22semidirect
33. #14583613C22semidirect
34. #14583609C22semidirect
35. #14583608C22semidirect
36. #14583606C22semidirect
37. #14583606C22semidirect
38. #14583601C22semidirect
39. #14583601C22semidirect
40. #14583599C22semidirect
41. #14583596C22semidirect
42. #14583596C22semidirect
43. #14583596C22semidirect
44. #14583594C22semidirect
45. #14583592C22semidirect
46. #14583591C22semidirect
47. #14583589C22semidirect
48. #14583580C22semidirect
49. #14583580C22semidirect
50. #14583580C22semidirect
51. #14583577C22semidirect
52. #14583575C22semidirect
53. #14583572C22semidirect
54. #14583569C22semidirect
55. #14583557C22semidirect
56. #14583556C22semidirect
57. #14583554C22semidirect
58. #14583553C22semidirect
59. #14583549C22semidirect
60. #14583549C22semidirect
61. #14583549C22semidirect
62. #14583549C22semidirect
63. #14583547C22semidirect
64. #14583547C22semidirect
65. #14583546C22semidirect
66. #14583543C22semidirect
67. #14583543C22semidirect
68. #14583543C22semidirect
69. #14583538C22semidirect
70. #14583538C22semidirect
71. #14583537C22semidirect
72. #14583536C22semidirect
73. #14583536C22semidirect
74. #14583536C22semidirect
75. #14583536C22semidirect
76. #14583534C22semidirect
77. #14583534C22semidirect
78. D4×C22⋊D43C22semidirect
79. D4×C22⋊D43C22semidirect
80. #14583529C22semidirect
81. #14583527C22semidirect
82. #14583520C22semidirect
83. #14583518C22semidirect
84. #14583518C22semidirect
85. #14583517C22semidirect
86. #14583516C22semidirect
87. #14583516C22semidirect
88. #14583503C22semidirect
89. #14583503C22semidirect
90. #14583502C22semidirect
91. #14583494C22semidirect
92. #14583493C22semidirect
93. #14583492C22semidirect
94. #14583486C22semidirect
95. #14583484C22semidirect
96. #14583484C22semidirect
97. #14583481C22semidirect
98. #14583481C22semidirect
99. #14583478C22semidirect
100. #14583471C22semidirect
101. #14583462C22semidirect
102. #14583459C22semidirect
103. #14583459C22semidirect
104. #14583458C22semidirect
105. #14583447C22semidirect
106. #14583447C22semidirect
107. #14583447C22semidirect
108. #14583447C22semidirect
109. #14583447C22semidirect
110. #14583447C22semidirect
111. #14583446C22semidirect
112. C2×#13063325C22semidirect
113. #14583436C22semidirect
114. #14583435C22semidirect
115. #14583434C22semidirect
116. #14583433C22semidirect
117. #14583432C22semidirect
118. #14583431C22semidirect
119. #14583431C22semidirect
120. #14583430C22semidirect
121. #14583429C22semidirect
122. #14583428C22semidirect
123. #14583428C22semidirect
124. #14583427C22semidirect
125. #14583426C22semidirect
126. #126×D43C22semidirect
127. #125×D43C22semidirect
128. C2×#13063312C22semidirect
129. #124×D43C22semidirect
130. #14583409C22semidirect
131. #14583406C22semidirect
132. #14583405C22semidirect
133. C2×#13063309C22semidirect
134. C2×#13063306C22semidirect
135. #123×D43C22semidirect
136. C22⋊Q8×D43C22semidirect
137. C2×#13063296C22semidirect
138. C2×#13063296C22semidirect
140. #121×D43C22semidirect
141. #14583382C22semidirect
142. #14583378C22semidirect
143. #14583374C22semidirect
144. #14583372C22semidirect
145. #14583371C22semidirect
146. C4×Q8×D43C22semidirect
147. C2×D4×Dic43C22semidirect
148. C4×D4×D43C22semidirect
149. C4×D4×D43C22semidirect
150. #117×D43C22semidirect
151. C2×C42×D43C22semidirect
152. C43×#560C22semidirect
153. C43×#559C22semidirect
154. C43×#550C22semidirect
155. C43×#546C22semidirect
156. D42×C43C22semidirect
157. D42×C43C22semidirect
158. C43×#540C22semidirect
159. C43×#535C22semidirect
160. C43×#534C22semidirect
161. C2×#127×C43C22semidirect
162. C43×#529C22semidirect
727. #3543D43semidirect
756. #560C2×D43semidirect
760. #559C2×D43semidirect
785. #550C2×D43semidirect
807. #546C2×D43semidirect
812. D42C2×D43semidirect
813. D42C2×D43semidirect
825. #540C2×D43semidirect
837. #535C2×D43semidirect
841. #534C2×D43semidirect
850. C2×#127C2×D43semidirect
864. #529C2×D43semidirect
891. C43#62822semidirect

Maximal subgroups

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

subgroupindex
#191491452
#191491252
#191491132
#191489442
#191489352
#191489282
#191486772
#191486752
#191486262
#191486182
#191485362
#191485202
#191484222
#191483512
#191483272
#191483222
#191482362
C2×#145834472
#529×D432
C43×#35432
#6282243