Finite Group Databasebeta

← #26005224

Subgroups — #26005224

Order 11008.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148904C214yesmaximal, complemented
2#19148896C214yesmaximal, complemented
3#19148832C212yesmaximal, complemented
4#19148827C212yesmaximal, complemented
5#19148821C212yesmaximal, complemented
6#19148816C212yesmaximal, complemented
7#19148788C214yesmaximal, complemented
8#19148777C214yesmaximal, complemented
9#19148619C214yesmaximal, complemented
10#19148617C214yesmaximal, complemented
11#19148426C214yesmaximal, complemented
12#19148355C214yesmaximal, complemented
13#19148321C214yesmaximal, complemented
14#19148296C212yesmaximal, complemented
15#19148284C211yesmaximal, characteristic, complemented
16#19148278C212yesmaximal, complemented
17#19148258C214yesmaximal, complemented
18#19148228C212yesmaximal, complemented
19#19148224C212yesmaximal, complemented
20#19148224C212yesmaximal, complemented
21#525×D43C212yesmaximal, complemented
22C22×#13063298C211yesmaximal, characteristic, complemented
23C43×#3490C211yesmaximal, characteristic, complemented
24C2×#13063371C2212yescomplemented
25C2×#13063370C2212yescomplemented
26C2×#13063370C2212yescomplemented
27C2×#41×D43C2212yescomplemented
28C23×D172C2211yescharacteristic, complemented
29C23×C22⋊D43C2211yescharacteristic, complemented
30C23×C22⋊D43C2211yescharacteristic, complemented
31C23×C4×D43C2211yescharacteristic, complemented
32#14583646C2214yescomplemented
33#14583645C2214yescomplemented
34#14583645C2214yescomplemented
35#14583643C2214yescomplemented
36#14583640C2214yescomplemented
37#14583639C2214yescomplemented
38#14583638C2214yescomplemented
39#14583637C2214yescomplemented
40#14583612C2214yescomplemented
41#14583611C2214yescomplemented
42#14583608C2214yescomplemented
43#14583603C2214yescomplemented
44#14583600C2214yescomplemented
45#14583600C2214yescomplemented
46#14583600C2214yescomplemented
47#14583599C2214yescomplemented
48#14583598C2214yescomplemented
49#14583598C2214yescomplemented
50#14583594C2214yescomplemented
51#14583594C2214yescomplemented
52#14583593C2214yescomplemented
53#14583592C2214yescomplemented
54#14583586C2214yescomplemented
55#14583582C2214yescomplemented
56#14583578C2214yescomplemented
57#14583576C2214yescomplemented
58#14583575C2214yescomplemented
59#14583575C2214yescomplemented
60#14583573C2214yescomplemented
61#14583572C2214yescomplemented
62#14583570C2214yescomplemented
63#14583567C2214yescomplemented
64#14583559C2214yescomplemented
65#14583557C2214yescomplemented
66#14583551C2214yescomplemented
67#14583548C2214yescomplemented
68#14583547C2214yescomplemented
69#14583547C2214yescomplemented
70#14583545C2214yescomplemented
71#14583545C2214yescomplemented
72#14583545C2214yescomplemented
73#14583544C2214yescomplemented
74#14583542C2214yescomplemented
75#14583541C2214yescomplemented
76#14583541C2214yescomplemented
77#14583540C2214yescomplemented
78#14583540C2214yescomplemented
79#14583539C2214yescomplemented
80#14583539C2214yescomplemented
81#14583539C2214yescomplemented
82#14583539C2214yescomplemented
83#14583539C2214yescomplemented
84#14583539C2214yescomplemented
85#14583539C2214yescomplemented
86#14583539C2214yescomplemented
87#14583538C2214yescomplemented
88#14583538C2214yescomplemented
89#14583537C2214yescomplemented
90#14583536C2214yescomplemented
91#14583536C2214yescomplemented
92#14583536C2214yescomplemented
93#14583536C2214yescomplemented
94D4×D172C2214yescomplemented
95D4×D172C2214yescomplemented
96#14583533C2214yescomplemented
97#14583533C2214yescomplemented
98#14583533C2214yescomplemented
99D4×C22⋊D43C2214yescomplemented
100D4×C22⋊D43C2214yescomplemented
101D4×C22⋊D43C2214yescomplemented
102D4×C22⋊D43C2214yescomplemented
103#14583531C2214yescomplemented
104#14583531C2214yescomplemented
105#14583531C2214yescomplemented
106#14583531C2214yescomplemented
107#14583531C2214yescomplemented
108#14583528C2212yescomplemented
109#14583525C2211yescharacteristic, complemented
110#14583524C2212yescomplemented
111#14583519C2214yescomplemented
112#14583515C2214yescomplemented
113#14583504C2214yescomplemented
114#14583501C2214yescomplemented
115#14583501C2214yescomplemented
116#14583501C2214yescomplemented
117#14583500C2214yescomplemented
118#14583499C2214yescomplemented
119#14583498C2212yescomplemented
120#14583495C2214yescomplemented
121#14583494C2212yescomplemented
122#14583491C2214yescomplemented
123#14583490C2214yescomplemented
124#14583489C2212yescomplemented
125#14583488C2214yescomplemented
126#14583487C2212yescomplemented
127#14583487C2212yescomplemented
128#14583487C2214yescomplemented
129#14583486C2212yescomplemented
130#14583485C2214yescomplemented
131#14583483C2214yescomplemented
132#14583483C2214yescomplemented
133#14583482C2214yescomplemented
134#14583482C2214yescomplemented
135#14583479C2214yescomplemented
136#14583479C2214yescomplemented
137#14583478C2214yescomplemented
138#14583476C2212yescomplemented
139#14583476C2214yescomplemented
140#14583468C2212yescomplemented
141#14583467C2214yescomplemented
142#14583464C2214yescomplemented
143#14583464C2214yescomplemented
144#14583464C2214yescomplemented
145#14583463C2212yescomplemented
146#14583461C2212yescomplemented
147#14583461C2212yescomplemented
148#14583461C2211yescharacteristic, complemented
149#14583460C2214yescomplemented
150#14583460C2214yescomplemented
151#14583460C2214yescomplemented
152#14583459C2214yescomplemented
153#14583459C2214yescomplemented
154#14583459C2214yescomplemented
155#14583458C2212yescomplemented
156#14583458C2212yescomplemented
157#14583457C2212yescomplemented
158#14583448C2214yescomplemented
159#14583446C2214yescomplemented
160#14583432C2214yescomplemented
161#14583427C2214yescomplemented
162#14583412C2212yescomplemented
163#14583412C2212yescomplemented
164#14583411C2212yescomplemented
165#14583410C2212yescomplemented
166#14583410C2212yescomplemented
167#14583409C2212yescomplemented
168#14583409C2212yescomplemented
169#14583408C2214yescomplemented
170#14583408C2214yescomplemented
171#14583408C2214yescomplemented
172#14583407C2214yescomplemented
173#14583407C2214yescomplemented
174#14583406C2212yescomplemented
175#14583405C2214yescomplemented
176#14583405C2214yescomplemented
177#123×D43C2214yescomplemented
178C22⋊Q8×D43C2212yescomplemented
179C22⋊Q8×D43C2212yescomplemented
180C2×#13063298C2212yescomplemented
181C2×#13063298C2212yescomplemented
182C2×#13063298C2214yescomplemented
183C2×#13063298C2214yescomplemented
184C2×#13063298C2212yescomplemented
185C2×#13063298C2212yescomplemented
186C2×#13063298C2214yescomplemented
187C2×#13063298C2214yescomplemented
188C2×#13063298C2214yescomplemented
189#121×D43C2212yescomplemented
190#121×D43C2212yescomplemented
191#121×D43C2214yescomplemented
192C2×#13063294C2212yescomplemented
193#120×D43C2214yescomplemented
194#120×D43C2214yescomplemented
195#14583378C2214yescomplemented
196#14583373C2212yescomplemented
197#14583372C2212yescomplemented
198#14583372C2212yescomplemented
199#14583372C2212yescomplemented
200#14583371C2214yescomplemented
201C4×D4×D43C2214yescomplemented
202C4×D4×D43C2214yescomplemented
203#117×D43C2212yescomplemented
204C22×Dic43⋊C4C2211yescharacteristic, complemented
205C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
206C43×#551C2214yescomplemented
207C43×#551C2214yescomplemented
208C43×#546C2214yescomplemented
209C43×#546C2214yescomplemented
210C43×#543C2211yescharacteristic, complemented
211C43×#538C2212yescomplemented
212C43×#538C2212yescomplemented
213C43×#534C2211yescharacteristic, complemented
214C43×#525C2212yescomplemented
215C43×#525C2212yescomplemented
216C2×#120×C43C2212yescomplemented
217C43×#518C2212yescomplemented
218C22×C22⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221#13063371—48no—
222#13063370—48no—
223#13063370—48no—
224C2×#10621902C2312yescomplemented
225C2×#10621902C2314yescomplemented
226C2×#10621898C2312yes—
227C2×#10621898C2312yes—
228C2×#10621898C2314yescomplemented
229C2×#10621898C2314yescomplemented
230C2×#10621898C2314yescomplemented
231C2×#10621898C2314yescomplemented
232C2×#10621900C2314yes—
233C2×#10621900C2314yes—
234C2×#10621900C2314yescomplemented
235C2×#10621900C2312yescomplemented
236C2×#10621900C2314yescomplemented
237#41×D43—48no—
238C2×Q8×D43C2312yescomplemented
239C22×D172—44no—
240C22×D172C2312yes—
241C22×D172C2312yes—
242C22×D172C2312yes—
243C22×D172C2314yes—
244C22×D172C2312yes—
245C22×D172C2314yescomplemented
246C22×C22⋊D43—44no—
247C22×C22⋊D43—44no—
248C22×C22⋊D43C2312yes—
249C22×C22⋊D43C2312yes—
250C22×C22⋊D43C2312yes—
251C22×C22⋊D43C2312yes—
252C22×C22⋊D43C2312yes—
253C22×C22⋊D43C2312yes—
254C22×C22⋊D43C2312yes—
255C22×C22⋊D43C2312yes—
256C22×C22⋊D43C2312yes—
257C22×C22⋊D43C2314yes—
258C22×C22⋊D43C2314yes—
259C22×C22⋊D43C2312yes—
260C22×C22⋊D43C2312yes—
261C22×C22⋊D43C2314yescomplemented
262C22×C22⋊D43C2314yescomplemented
263C2×D4×D43C2314yes—
264C2×D4×D43C2314yes—
265C2×D4×D43C2314yes—
266C2×D4×D43C2314yes—
267C2×D4×D43C2314yes—
268C2×D4×D43C2314yes—
269C2×D4×D43C2312yescomplemented
270C2×D4×D43C2314yescomplemented
271C2×D4×D43C2314yescomplemented
272C2×D4×D43C2314yescomplemented
273C23×Dic43C2311yescharacteristic
274C23×Dic43C2311yescharacteristic
275C22×C4×D43—44no—
276C22×C4×D43C2312yes—
277C22×C4×D43C2312yes—
278C22×C4×D43C2312yes—
279C22×C4×D43C2312yes—
280C22×C4×D43C2312yes—
281C22×C4×D43C2312yes—
282C22×C4×D43C2314yescomplemented
283#13063324C2314yescomplemented
284#13063323C2314yescomplemented
285#13063322C2314yescomplemented
286#13063321C2314yescomplemented
287#13063321C2314yescomplemented
288#13063321C2314yescomplemented
289#13063321C2314yescomplemented
290#13063321C2314yescomplemented
291#13063320C2314yescomplemented
292#13063320C2314yescomplemented
293#13063320C2314yescomplemented
294#13063320C2314yescomplemented
295#13063319C2314yescomplemented
296#13063319C2314yescomplemented
297#13063318C2314yescomplemented
298#13063318C2314yescomplemented
299#13063318C2314yescomplemented
300#13063318C2314yescomplemented
301#13063317C2314yescomplemented
302#13063316C2314yescomplemented
303#13063315C2314yescomplemented
304#13063315C2314yescomplemented
305#13063315C2314yescomplemented
306#13063315C2314yescomplemented
307#13063314C2314yescomplemented
308#13063314C2314yescomplemented
309#13063313C2314yescomplemented
310#13063313C2314yescomplemented
311#13063311C2314yescomplemented
312#13063311C2314yescomplemented
313#13063311C2314yescomplemented
314#13063311C2314yescomplemented
315#13063311C2314yescomplemented
316#13063311C2314yescomplemented
317#13063311C2314yescomplemented
318#13063311C2314yescomplemented
319#13063310C2314yescomplemented
320#13063310C2314yescomplemented
321#13063310C2314yescomplemented
322#13063310C2314yescomplemented
323#13063310C2314yescomplemented
324#13063310C2314yescomplemented
325#13063310C2314yescomplemented
326#13063310C2314yescomplemented
327#13063310C2314yescomplemented
328#13063310C2314yescomplemented
329#13063309C2314yes—
330#13063309C2314yes—
331#13063309C2314yescomplemented
332#13063309C2314yescomplemented
333#13063309C2314yescomplemented
334#13063309C2314yescomplemented
335#13063308C2314yes—
336#13063308C2314yes—
337#13063308C2314yescomplemented
338#13063308C2314yescomplemented
339#13063308C2314yescomplemented
340#13063308C2314yescomplemented
341#13063307C2314yescomplemented
342#13063307C2314yescomplemented
343#13063307C2314yescomplemented
344#13063307C2314yescomplemented
345#13063307C2314yescomplemented
346#13063307C2314yescomplemented
347#13063307C2314yescomplemented
348#13063307C2314yescomplemented
349#13063307C2314yescomplemented
350#13063307C2314yescomplemented
351#13063306C2314yes—
352#13063306C2314yes—
353#13063306C2314yescomplemented
354#13063305C2314yescomplemented
355#13063305C2312yescomplemented
356#13063305C2312yescomplemented
357#13063304C2312yes—
358#13063304C2312yes—
359#13063304C2312yes—
360#13063304C2312yes—
361#13063304C2314yescomplemented
362#13063303C2314yescomplemented
363#13063303C2314yescomplemented
364#13063303C2314yescomplemented
365#13063303C2314yescomplemented
366#13063303C2314yescomplemented
367#13063303C2314yescomplemented
368#13063302C2314yes—
369#13063302C2314yes—
370#13063302C2314yes—
371#13063302C2314yes—
372#13063302C2314yescomplemented
373#13063302C2314yescomplemented
374#13063302C2314yescomplemented
375#13063302C2314yescomplemented
376#13063301C2314yescomplemented
377#13063301C2314yescomplemented
378#13063301C2312yescomplemented
379#13063301C2312yescomplemented
380#13063300C2314yescomplemented
381#13063300C2314yescomplemented
382#13063300C2314yescomplemented
383#13063300C2314yescomplemented
384#13063300C2314yescomplemented
385#13063300C2312yescomplemented
386#13063300C2314yescomplemented
387#13063300C2312yescomplemented
388#13063300C2314yescomplemented
389#13063299C2312yes—
390#13063299C2312yes—
391#13063299C2312yes—
392#13063299C2312yes—
393#13063299C2314yescomplemented
394#13063299C2314yescomplemented
395#13063299C2314yescomplemented
396#13063299C2314yescomplemented
397#13063299C2314yescomplemented
398#13063299C2314yescomplemented
399#13063299C2314yescomplemented
400#13063298C2314yes—
401#13063298C2314yes—
402#13063298C2314yes—
403#13063298C2314yes—
404#13063298C2314yes—
405#13063298C2314yes—
406#13063298C2314yes—
407#13063298C2314yes—
408#13063298C2314yes—
409#13063298C2314yes—
410#13063298C2314yes—
411#13063298C2314yes—
412#13063298C2314yes—
413#13063298C2314yes—
414#13063298C2314yes—
415#13063298C2314yes—
416#13063298C2314yescomplemented
417#13063298C2314yescomplemented
418#13063298C2314yescomplemented
419#13063298C2314yescomplemented
420#13063298C2314yescomplemented
421#13063298C2314yescomplemented
422#13063298C2314yescomplemented
423#13063298C2314yescomplemented
424#13063298C2314yescomplemented
425#13063298C2314yescomplemented
426#13063298C2314yescomplemented
427#13063298C2314yescomplemented
428#13063298C2314yescomplemented
429#13063298C2314yescomplemented
430#13063298C2314yescomplemented
431#13063298C2314yescomplemented
432#13063298C2314yescomplemented
433#13063298C2314yescomplemented
434#13063297C2314yes—
435#13063297C2314yes—
436#13063297C2314yes—
437#13063297C2314yes—
438#13063297C2314yescomplemented
439#13063297C2314yescomplemented
440#13063297C2314yescomplemented
441#13063297C2314yescomplemented
442#13063297C2314yescomplemented
443#13063297C2314yescomplemented
444#13063297C2314yescomplemented
445#13063297C2314yescomplemented
446#13063297C2314yescomplemented
447#13063297C2314yescomplemented
448#13063296C2314yescomplemented
449#13063296C2314yescomplemented
450#13063296C2314yescomplemented
451#13063296C2312yescomplemented
452#13063296C2312yescomplemented
453#13063296C2314yescomplemented
454#13063295C2314yes—
455#13063295C2314yes—
456#13063295C2314yes—
457#13063295C2314yes—
458#13063295C2314yes—
459#13063295C2314yes—
460#13063295C2314yescomplemented
461#13063295C2314yescomplemented
462#13063295C2314yescomplemented
463#13063295C2314yescomplemented
464#13063295C2314yescomplemented
465#13063295C2314yescomplemented
466#13063295C2314yescomplemented
467#13063295C2314yescomplemented
468#13063294C2314yes—
469#13063294C2314yes—
470#13063294C2314yes—
471#13063294C2314yes—
472#13063294C2314yescomplemented
473#13063294C2314yescomplemented
474#13063293C2314yes—
475#13063293C2314yes—
476#13063293C2314yes—
477#13063293C2314yes—
478#13063293C2314yes—
479#13063293C2314yes—
480#13063293C2314yescomplemented
481#13063293C2314yescomplemented
482#13063293C2314yescomplemented
483#13063293C2314yescomplemented
484#13063293C2314yescomplemented
485C4×Dic86C2314yescomplemented
486#13063290C2314yescomplemented
487C4×D172C2314yescomplemented
488C4×D172C2314yescomplemented
489C4×D172C2314yescomplemented
490C4×D172C2314yescomplemented
491C4×D172C2314yescomplemented
492D4×Dic43C2314yes—
493D4×Dic43C2314yes—
494D4×Dic43C2314yes—
495D4×Dic43C2314yes—
496#13063287C2314yescomplemented
497#13063287C2314yescomplemented
498#13063287C2314yescomplemented
499#13063287C2314yescomplemented
500#13063287C2314yescomplemented
501C4×C22⋊D43C2314yes—
502C4×C22⋊D43C2314yes—
503C4×C22⋊D43C2314yes—
504C4×C22⋊D43C2314yes—
505C4×C22⋊D43C2314yescomplemented
506C4×C22⋊D43C2314yescomplemented
507C4×C22⋊D43C2314yescomplemented
508C4×C22⋊D43C2314yescomplemented
509C4×C22⋊D43C2314yescomplemented
510C4×C22⋊D43C2314yescomplemented
511C4×C22⋊D43C2314yescomplemented
512C4×C22⋊D43C2314yescomplemented
513(C22⋊D43)⋊C4C2314yes—
514(C22⋊D43)⋊C4C2314yes—
515(C22⋊D43)⋊C4C2314yes—
516(C22⋊D43)⋊C4C2314yes—
517(C22⋊D43)⋊C4C2314yescomplemented
518(C22⋊D43)⋊C4C2314yescomplemented
519(C22⋊D43)⋊C4C2314yescomplemented
520(C22⋊D43)⋊C4C2314yescomplemented
521(C22⋊D43)⋊C4C2314yescomplemented
522(C22⋊D43)⋊C4C2314yescomplemented
523(C22⋊D43)⋊C4C2314yescomplemented
524(C22⋊D43)⋊C4C2314yescomplemented
525(C22⋊D43)⋊C4C2314yescomplemented
526(C22⋊D43)⋊C4C2314yescomplemented
527#13063284C2312yes—
528#13063284C2312yes—
529#13063283C2314yescomplemented
530#13063283C2312yescomplemented
531#13063283C2312yescomplemented
532#13063282C2314yescomplemented
533#13063282C2314yescomplemented
534#13063282C2314yescomplemented
535#13063281C2314yes—
536#13063281C2314yes—
537#13063281C2314yescomplemented
538#13063281C2314yescomplemented
539C2×Dic43⋊C4C2314yes—
540C2×Dic43⋊C4C2312yes—
541C2×Dic43⋊C4C2312yes—
542C2×Dic43⋊C4C2312yes—
543C2×Dic43⋊C4C2312yes—
544C2×Dic43⋊C4C2314yescomplemented
545C4⋊C4×D43C2314yescomplemented
546C4⋊C4×D43C2312yescomplemented
547C4⋊C4×D43C2314yescomplemented
548C4⋊C4×D43C2312yescomplemented
549C4⋊C4×D43C2314yescomplemented
550C2×C22⋊Dic43C2312yes—
551C2×C22⋊Dic43C2312yes—
552C2×C22⋊Dic43C2312yes—
553C2×(C2×D43)⋊C4C2314yes—
554C2×(C2×D43)⋊C4C2314yes—
555C2×(C2×D43)⋊C4C2312yes—
556C2×(C2×D43)⋊C4C2312yes—
557C2×(C2×D43)⋊C4C2314yescomplemented
558C22⋊C4×D43C2314yes—
559C22⋊C4×D43C2314yes—
560C22⋊C4×D43C2314yes—
561C22⋊C4×D43C2314yes—
562C22⋊C4×D43C2314yes—
563C22⋊C4×D43C2314yes—
564C22⋊C4×D43C2314yescomplemented
565C22⋊C4×D43C2314yescomplemented
566C22⋊C4×D43C2314yescomplemented
567C22⋊C4×D43C2314yescomplemented
568C42×D43C2314yescomplemented
569C25×C43C2311yescharacteristic
570C2×#41×C43C2312yes—
571C2×#41×C43C2312yes—
572C22×D4×C43C2312yes—
573C22×D4×C43C2312yes—
574C22×D4×C43C2312yes—
575C23×C4×C43C2311yescharacteristic
576C23×C4×C43C2311yescharacteristic
577#126×C43C2314yescomplemented
578#126×C43C2314yescomplemented
579#124×C43C2314yescomplemented
580#124×C43C2314yescomplemented
581#123×C43C2314yes—
582#123×C43C2314yes—
583#123×C43C2314yescomplemented
584#123×C43C2314yescomplemented
585#123×C43C2314yescomplemented
586C22⋊Q8×C43C2312yes—
587C22⋊Q8×C43C2312yes—
588C22⋊Q8×C43C2312yes—
589C22⋊Q8×C43C2312yes—
590C22⋊Q8×C43C2314yescomplemented
591C22⋊Q8×C43C2314yescomplemented
592#121×C43C2312yes—
593#121×C43C2312yes—
594#121×C43C2312yes—
595#121×C43C2312yes—
596#121×C43C2314yescomplemented
597#121×C43C2314yescomplemented
598#120×C43C2314yes—
599#120×C43C2314yes—
600#120×C43C2314yes—
601#120×C43C2314yes—
602#120×C43C2314yescomplemented
603C4×D4×C43C2314yes—
604C4×D4×C43C2314yes—
605C4×D4×C43C2314yes—
606C4×D4×C43C2314yes—
607C4×D4×C43C2314yescomplemented
608C4×D4×C43C2314yescomplemented
609#117×C43C2312yes—
610#117×C43C2312yes—
611#117×C43C2314yescomplemented
612C2×C22⋊C4×C43C2311yescharacteristic
613C2×C22⋊C4×C43C2314yes—
614C2×C22⋊C4×C43C2314yes—
615C2×C22⋊C4×C43C2311yescharacteristic
616C2×C22⋊C4×C43C2311yescharacteristic
617C2×C22⋊C4×C43C2311yescharacteristic
618C2×C22⋊C4×C43C2312yes—
619C2×C22⋊C4×C43C2312yes—
620C2×C22⋊C4×C43C2312yes—
621C2×C22⋊C4×C43C2314yescomplemented
622C24×C43—42no—
623C24×C43—42no—
624C24×C43—42no—
625C24×C43C2411yescharacteristic
626C24×C43C2411yescharacteristic
627C24×C43C2412yes—
628C24×C43C2412yes—
629C24×C43C2411yescharacteristic
630C24×C43C2412yes—
631C23×D43—24no—
632C23×D43—42no—
633C23×D43—42no—
634C23×D43—42no—
635C23×D43—42no—
636C23×D43—42no—
637C23×D43C2412yes—
638C23×D43C2412yes—
639C23×D43C2412yes—
640C23×D43C2412yes—
641C23×D43C2412yes—
642C23×D43C2414yes—
643C23×D43C2411yescharacteristic
644C23×D43C2412yes—
645C23×D43C2414yes—
646C23×D43C2411yescharacteristic
647#41×C43—44no—
648#41×C43—44no—
649C2×Q8×C43C2412yes—
650C2×Q8×C43C2412yes—
651C2×D4×C43—44no—
652C2×D4×C43—44no—
653C2×D4×C43—44no—
654C2×D4×C43C2414yes—
655C2×D4×C43C2414yes—
656C2×D4×C43C2414yes—
657C2×D4×C43C2414yes—
658C2×D4×C43C2414yes—
659C2×D4×C43C2414yes—
660C2×D4×C43C2412yes—
661C2×D4×C43C2412yes—
662C22×C4×C43—42no—
663C22×C4×C43—42no—
664C22×C4×C43C2412yes—
665C22×C4×C43C2412yes—
666C22×C4×C43C2412yes—
667C22×C4×C43C2411yescharacteristic
668C22×C4×C43C2411yescharacteristic
669C22×C4×C43C2412yes—
670C22×C4×C43C2412yes—
671C22×C4×C43C2412yes—
672C22×C4×C43C2412yes—
673C22×C4×C43C2411yescharacteristic
674C22×C4×C43C2411yescharacteristic
675C22×C4×C43C2414yes—
676C22×C4×C43C2414yes—
677C2×C22⋊D43—28no—
678C2×C22⋊D43—28no—
679C2×C22⋊D43—44no—
680C2×C22⋊D43—44no—
681C2×C22⋊D43—44no—
682C2×C22⋊D43—48no—
683C2×C22⋊D43—44no—
684C2×C22⋊D43—48no—
685C2×C22⋊D43—44no—
686C2×C22⋊D43—44no—
687C2×C22⋊D43—44no—
688C2×C22⋊D43—44no—
689C2×C22⋊D43—48no—
690C2×C22⋊D43—44no—
691C2×C22⋊D43—48no—
692C2×C22⋊D43C2414yes—
693C2×C22⋊D43C2414yes—
694C2×C22⋊D43C2414yes—
695C2×C22⋊D43C2414yes—
696C2×C22⋊D43C2414yes—
697C2×C22⋊D43C2414yes—
698C2×C22⋊D43C2414yes—
699C2×C22⋊D43C2414yes—
700C2×C22⋊D43C2414yes—
701C2×C22⋊D43C2414yes—
702C2×C22⋊D43C2414yes—
703C2×C22⋊D43C2414yes—
704C2×C22⋊D43C2414yes—
705C2×C22⋊D43C2414yes—
706C2×C22⋊D43C2414yes—
707C2×C22⋊D43C2414yes—
708C2×C22⋊D43C2414yes—
709C2×C22⋊D43C2414yes—
710C2×C22⋊D43C2414yes—
711C2×C22⋊D43C2414yes—
712C2×C22⋊D43C2414yes—
713C2×C22⋊D43C2414yes—
714C22×Dic43—24no—
715C22×Dic43—42no—
716C22×Dic43C2412yes—
717C22×Dic43C2412yes—
718C22×Dic43C2412yes—
719C22×Dic43C2411yescharacteristic
720C22×Dic43C2414yes—
721C22×Dic43C2412yes—
722C22×Dic43C2412yes—
723C22×Dic43C2414yes—
724C22×Dic43C2412yes—
725C22×Dic43C2412yes—
726C22×Dic43C2412yes—
727C22×Dic43C2411yescharacteristic
728#10621902—44no—
729#10621902—48no—
730Q8×D43—44no—
731#10621900—216no—
732#10621900—48no—
733#10621900—44no—
734#10621900—48no—
735#10621900—48no—
736D4×D43—216no—
737D4×D43—48no—
738D4×D43—48no—
739D4×D43—48no—
740D4×D43—48no—
741D4×D43—48no—
742D4×D43—48no—
743D4×D43—48no—
744D4×D43—44no—
745D4×D43—48no—
746#10621898—48no—
747#10621898—48no—
748#10621898—48no—
749#10621898—48no—
750#10621898—44no—
751#10621898—44no—
752C2×D172—28no—
753C2×D172—44no—
754C2×D172—44no—
755C2×D172—48no—
756C2×D172—44no—
757C2×D172—48no—
758C2×D172C2414yes—
759C2×D172C2414yes—
760C2×D172C2414yes—
761C2×D172C2414yes—
762C2×D172C2414yes—
763C2×D172C2414yes—
764C2×D172C2414yes—
765C2×D172C2414yes—
766C2×D172C2412yes—
767C2×D172C2412yes—
768C2×D172C2414yes—
769C2×D172C2414yes—
770C2×C4×D43—28no—
771C2×C4×D43—44no—
772C2×C4×D43—44no—
773C2×C4×D43—44no—
774C2×C4×D43—44no—
775C2×C4×D43—44no—
776C2×C4×D43—48no—
777C2×C4×D43C2412yes—
778C2×C4×D43C2414yes—
779C2×C4×D43C2412yes—
780C2×C4×D43C2414yes—
781C2×C4×D43C2412yes—
782C2×C4×D43C2412yes—
783C2×C4×D43C2414yes—
784C2×C4×D43C2414yes—
785C2×C4×D43C2414yes—
786C2×C4×D43C2414yes—
787C2×C4×D43C2414yes—
788C2×C4×D43C2412yes—
789C2×C4×D43C2412yes—
790C2×C4×D43C2414yes—
791C2×C4×D43C2414yes—
792C2×C4×D43C2414yes—
793C2×C4×D43C2412yes—
794C2×C4×D43C2412yes—
795C2×Dic86C2414yes—
796C2×Dic86C2414yes—
797C2×Dic86C2412yes—
798C2×Dic86C2412yes—
799C4⋊C4×C43C2412yes—
800C4⋊C4×C43C2412yes—
801C4⋊C4×C43C2412yes—
802C4⋊C4×C43C2412yes—
803C4⋊C4×C43C2414yes—
804C4⋊C4×C43C2414yes—
805C4⋊C4×C43C2414yes—
806C4⋊C4×C43C2414yes—
807C22⋊C4×C43C2414yes—
808C22⋊C4×C43C2414yes—
809C22⋊C4×C43C2414yes—
810C22⋊C4×C43C2414yes—
811C22⋊C4×C43C2414yes—
812C22⋊C4×C43C2414yes—
813C22⋊C4×C43C2414yes—
814C22⋊C4×C43C2414yes—
815C22⋊C4×C43C2414yes—
816C22⋊C4×C43C2414yes—
817C22⋊C4×C43C2414yes—
818C22⋊C4×C43C2414yes—
819C22⋊C4×C43C2414yes—
820C22⋊C4×C43C2414yes—
821C42×C43C2414yes—
822C42×C43C2414yes—
823C22⋊Dic43C2414yes—
824C22⋊Dic43C2414yes—
825C22⋊Dic43C2414yes—
826C22⋊Dic43C2414yes—
827C22⋊Dic43C2414yes—
828C22⋊Dic43C2414yes—
829C22⋊Dic43C2414yes—
830C22⋊Dic43C2414yes—
831C22⋊Dic43C2414yes—
832C22⋊Dic43C2414yes—
833(C2×D43)⋊C4C2414yes—
834(C2×D43)⋊C4C2414yes—
835(C2×D43)⋊C4C2414yes—
836(C2×D43)⋊C4C2414yes—
837(C2×D43)⋊C4C2414yes—
838(C2×D43)⋊C4C2414yes—
839(C2×D43)⋊C4C2414yes—
840(C2×D43)⋊C4C2414yes—
841(C2×D43)⋊C4C2414yes—
842(C2×D43)⋊C4C2414yes—
843(C2×D43)⋊C4C2414yes—
844(C2×D43)⋊C4C2414yes—
845(C2×D43)⋊C4C2414yes—
846(C2×D43)⋊C4C2414yes—
847(C2×D43)⋊C4C2414yes—
848(C2×D43)⋊C4C2414yes—
849(C2×D43)⋊C4C2414yes—
850(C2×D43)⋊C4C2414yes—
851(C2×D43)⋊C4C2414yes—
852(C2×D43)⋊C4C2414yes—
853(C2×D43)⋊C4C2414yes—
854(C2×D43)⋊C4C2414yes—
855(C2×D43)⋊C4C2414yes—
856(C2×D43)⋊C4C2414yes—
857C4⋊Dic43C2412yes—
858C4⋊Dic43C2412yes—
859C4⋊Dic43C2414yes—
860C4⋊Dic43C2414yes—
861C4⋊Dic43C2414yes—
862C4⋊Dic43C2414yes—
863C4⋊Dic43C2412yes—
864C4⋊Dic43C2412yes—
865Dic43⋊C4C2414yes—
866Dic43⋊C4C2414yes—
867Dic43⋊C4C2414yes—
868Dic43⋊C4C2414yes—
869Dic43⋊C4C2414yes—
870Dic43⋊C4C2414yes—
871Dic43⋊C4C2414yes—
872Dic43⋊C4C2414yes—
873Dic43⋊C4C2414yes—
874Dic43⋊C4C2414yes—
875Dic43⋊C4C2414yes—
876Dic43⋊C4C2414yes—
877Dic43⋊C4C2414yes—
878Dic43⋊C4C2414yes—
879Dic43⋊C4C2414yes—
880Dic43⋊C4C2414yes—
881C4×Dic43C2414yes—
882C4×Dic43C2414yes—
883C4×Dic43C2414yes—
884C4×Dic43C2414yes—
885C4×Dic43C2414yes—
886C4×Dic43C2414yes—
887C23×C43—22no—
888C23×C43—22no—
889C23×C43—22no—
890C23×C43—24no—
891C23×C43—24no—
892C23×C43—22no—
893C23×C43—22no—
894C23×C43—41no—
895C23×C43—42no—
896C23×C43—41no—
897C23×C43—41no—
898C23×C43—42no—
899C23×C43—41no—
900C23×C43—42no—
901C23×C43—42no—
902C23×C43—42no—
903C23×C43—42no—
904C23×C43—42no—
905C23×C43—88no—
906C23×C43C2512yes—
907C23×C43C2514yes—
908C23×C43C2512yes—
909C23×C43C2511yescharacteristic
910C23×C43C2511yescharacteristic
911C23×C43C2511yescharacteristic
912C22×D43—24no—
913C22×D43—22no—
914C22×D43—24no—
915C22×D43—24no—
916C22×D43—24no—
917C22×D43—24no—
918C22×D43—24no—
919C22×D43—24no—
920C22×D43—28no—
921C22×D43—41no—
922C22×D43—42no—
923C22×D43—41no—
924C22×D43—41no—
925C22×D43—42no—
926C22×D43—41no—
927C22×D43—44no—
928C22×D43—42no—
929C22×D43—42no—
930C22×D43—44no—
931C22×D43—42no—
932C22×D43—42no—
933C22×D43—42no—
934C22×D43—42no—
935C22×D43—44no—
936C22×D43—44no—
937C22×D43—42no—
938C22×D43—42no—
939C22×D43—44no—
940C22×D43—42no—
941C22×D43—416no—
942C22×D43—88no—
943C22×D43H(5,𝔽2)14yescomplemented
944C22×D43C2514yes—
945C22×D43C2512yes—
946C22×D43C2514yes—
947C22×D43C2512yes—
948Q8×C43—42no—
949Q8×C43—42no—
950D4×C43—28no—
951D4×C43—28no—
952D4×C43—28no—
953D4×C43—42no—
954D4×C43—44no—
955D4×C43—44no—
956D4×C43—42no—
957D4×C43—44no—
958C2×C4×C43—24no—
959C2×C4×C43—24no—
960C2×C4×C43—41no—
961C2×C4×C43—42no—
962C2×C4×C43—41no—
963C2×C4×C43—44no—
964C2×C4×C43—41no—
965C2×C4×C43—42no—
966C2×C4×C43—41no—
967C2×C4×C43—44no—
968C2×C4×C43—42no—
969C2×C4×C43—42no—
970C2×C4×C43—42no—
971C2×C4×C43C2512yes—
972C2×C4×C43C2514yes—
973C2×C4×C43C2512yes—
974C2×C4×C43C2514yes—
975C2×C4×C43C2514yes—
976C2×C4×C43C2512yes—
977C2×C4×C43C2512yes—
978C22⋊D43—28no—
979C22⋊D43—28no—
980C22⋊D43—28no—
981C22⋊D43—28no—
982C22⋊D43—28no—
983C22⋊D43—28no—
984C22⋊D43—28no—
985C22⋊D43—28no—
986C22⋊D43—28no—
987C22⋊D43—44no—
988C22⋊D43—44no—
989C22⋊D43—44no—
990C22⋊D43—44no—
991C22⋊D43—44no—
992C22⋊D43—44no—
993C22⋊D43—44no—
994C22⋊D43—44no—
995C22⋊D43—44no—
996C22⋊D43—44no—
997C22⋊D43—44no—
998C22⋊D43—44no—
999C22⋊D43—44no—
1000C2×Dic43—22no—
1001C2×Dic43—24no—
1002C2×Dic43—24no—
1003C2×Dic43—24no—
1004C2×Dic43—28no—
1005C2×Dic43—42no—
1006C2×Dic43—42no—
1007C2×Dic43—44no—
1008C2×Dic43—42no—
1009C2×Dic43—42no—
1010C2×Dic43—42no—
1011C2×Dic43H(5,𝔽2)14yescomplemented
1012C2×Dic43C2514yes—
1013C2×Dic43C2514yes—
1014C2×Dic43C2514yes—
1015C2×Dic43C2514yes—
1016C2×Dic43C2512yes—
1017C2×Dic43C2512yes—
1018D172—28no—
1019D172—28no—
1020D172—28no—
1021D172—44no—
1022D172—44no—
1023D172—42no—
1024D172—44no—
1025D172—44no—
1026D172—44no—
1027D172—42no—
1028D172—44no—
1029D172—44no—
1030C4×D43—28no—
1031C4×D43—24no—
1032C4×D43—24no—
1033C4×D43—24no—
1034C4×D43—24no—
1035C4×D43—28no—
1036C4×D43—42no—
1037C4×D43—42no—
1038C4×D43—42no—
1039C4×D43—42no—
1040C4×D43—44no—
1041C4×D43—44no—
1042C4×D43—44no—
1043C4×D43—44no—
1044C4×D43—44no—
1045C4×D43—44no—
1046C4×D43—44no—
1047C4×D43—44no—
1048Dic86—28no—
1049Dic86—42no—
1050Dic86—44no—
1051Dic86—42no—
1052#62818—431nomaximal, Sylow
1053C22×C43—28no—
1054C22×C43—21no—
1055C22×C43—21no—
1056C22×C43—21no—
1057C22×C43—21no—
1058C22×C43—21no—
1059C22×C43—21no—
1060C22×C43—24no—
1061C22×C43—24no—
1062C22×C43—22no—
1063C22×C43—22no—
1064C22×C43—22no—
1065C22×C43—22no—
1066C22×C43—24no—
1067C22×C43—22no—
1068C22×C43—22no—
1069C22×C43—84no—
1070C22×C43—84no—
1071C22×C43—82no—
1072C22×C43—82no—
1073C22×C43—162no—
1074C22×C43C2×H(5,𝔽2)12yes—
1075C22×C43C2×H(5,𝔽2)12yes—
1076C22×C43#58512yes—
1077C22×C43C2611yescharacteristic
1078C2×D43—22no—
1079C2×D43—22no—
1080C2×D43—22no—
1081C2×D43—24no—
1082C2×D43—24no—
1083C2×D43—22no—
1084C2×D43—24no—
1085C2×D43—24no—
1086C2×D43—24no—
1087C2×D43—22no—
1088C2×D43—24no—
1089C2×D43—44no—
1090C2×D43—48no—
1091C2×D43—48no—
1092C2×D43—44no—
1093C2×D43—88no—
1094C2×D43—84no—
1095C2×D43—84no—
1096C2×D43—84no—
1097C2×D43—164no—
1098C2×D43—162no—
1099C2×D43C2×H(5,𝔽2)14yes—
1100C4×C43—24no—
1101C4×C43—22no—
1102C4×C43—24no—
1103C4×C43—22no—
1104C4×C43—22no—
1105C4×C43—22no—
1106C4×C43—24no—
1107Dic43—24no—
1108Dic43—24no—
1109Dic43—24no—
1110Dic43—22no—
1111Dic43—24no—
1112Dic43C2×H(5,𝔽2)14yes—
1113#3542—434no—
1114#3542—434no—
1115#3537—432no—
1116#3537—432no—
1117#3536—432no—
1118#3536—432no—
1119#3534—434no—
1120#3534—434no—
1121#3519—434no—
1122#3519—434no—
1123#3505—434no—
1124#3496—434no—
1125#3494—434no—
1126#3492—432no—
1127#3490—432no—
1128#3490—431no—
1129#3490D4311yescharacteristic, complemented
1130#3488—434no—
1131#3484—432no—
1132#3484—432no—
1133#3484—432no—
1134C2×#525—432no—
1135C22×#121—431no—
1136C2×C43—22no—
1137C2×C43—22no—
1138C2×C43—22no—
1139C2×C43—44no—
1140C2×C43—42no—
1141C2×C43—42no—
1142C2×C43C22×H(5,𝔽2)11yescharacteristic
1143C2×C43C22×H(5,𝔽2)11yescharacteristic
1144C2×C43C2×#58511yescharacteristic
1145D43—24no—
1146D43—42no—
1147D43—44no—
1148D43—44no—
1149C2×H(5,𝔽2)—432no—
1150C2×H(5,𝔽2)—432no—
1151C2×H(5,𝔽2)—432no—
1152C22×#41—432no—
1153C23×D4—431no—
1154C23×D4—431no—
1155C23×D4—431no—
1156C24×C4—431no—
1157#562—434no—
1158#562—434no—
1159#562—434no—
1160#562—434no—
1161#560—434no—
1162#560—434no—
1163#560—434no—
1164#560—434no—
1165#555—434no—
1166#555—434no—
1167#554—434no—
1168#554—434no—
1169#553—434no—
1170#553—434no—
1171#553—434no—
1172#553—434no—
1173#553—434no—
1174#553—434no—
1175#553—434no—
1176#553—434no—
1177#553—434no—
1178#553—434no—
1179#552—434no—
1180#552—434no—
1181#551—434no—
1182#551—434no—
1183#551—434no—
1184#551—434no—
1185#551—434no—
1186#551—434no—
1187#551C2×D4314yescomplemented
1188#551C2×D4314yescomplemented
1189#550—434no—
1190#550—434no—
1191#548—434no—
1192#548—434no—
1193#547—434no—
1194#547—434no—
1195#547—434no—
1196#547—434no—
1197#546—434no—
1198#546—434no—
1199#546—434no—
1200#546—434no—
1201#546—434no—
1202#546—434no—
1203#546—434no—
1204#546—434no—
1205#546—434no—
1206#546—434no—
1207#546—434no—
1208#546—434no—
1209#546—434no—
1210#546—434no—
1211#546—434no—
1212#546—434no—
1213#546—434no—
1214#546—434no—
1215#546—434no—
1216#546—434no—
1217#546—434no—
1218#546—434no—
1219#546—434no—
1220#546—434no—
1221#546C2×D4314yescomplemented
1222#546C2×D4314yescomplemented
1223D42—434no—
1224D42—434no—
1225D42—434no—
1226D42—434no—
1227D42—434no—
1228D42—434no—
1229D42—434no—
1230D42—434no—
1231D42—434no—
1232D42—434no—
1233D42—434no—
1234D42—434no—
1235D42—434no—
1236D42—434no—
1237#544—432no—
1238#543—432no—
1239#543—431no—
1240#543C2×D4311yescharacteristic, complemented
1241#542—434no—
1242#542—434no—
1243#540—434no—
1244#540—434no—
1245#540—434no—
1246#540—434no—
1247#540—434no—
1248#540—434no—
1249#539—434no—
1250#539—432no—
1251#539—434no—
1252#539—432no—
1253#539—434no—
1254#538—434no—
1255#538—434no—
1256#538—434no—
1257#538—434no—
1258#538—432no—
1259#538—432no—
1260#538—434no—
1261#538—434no—
1262#538—432no—
1263#538—432no—
1264#538—434no—
1265#538C2×D4312yescomplemented
1266#538C2×D4312yescomplemented
1267#537—434no—
1268#537—434no—
1269#537—432no—
1270#537—434no—
1271#537—434no—
1272#535—432no—
1273#535—434no—
1274#535—434no—
1275#535—434no—
1276#535—434no—
1277#535—432no—
1278#534—432no—
1279#534—432no—
1280#534—434no—
1281#534—434no—
1282#534—434no—
1283#534—432no—
1284#534—434no—
1285#534—434no—
1286#534—434no—
1287#534—432no—
1288#534—432no—
1289#534—431no—
1290#534C2×D4311yescharacteristic, complemented
1291#532—434no—
1292#532—434no—
1293#529—434no—
1294#529—434no—
1295#525—432no—
1296#525—432no—
1297#525—432no—
1298#525—434no—
1299#525—434no—
1300#525—432no—
1301#525—432no—
1302#525—432no—
1303#525—432no—
1304#525—434no—
1305#525—434no—
1306#525—434no—
1307#525—434no—
1308#525—434no—
1309#525—432no—
1310#525C2×D4312yescomplemented
1311#525C2×D4312yescomplemented
1312C2×#123—434no—
1313C2×C22⋊Q8—432no—
1314C2×C22⋊Q8—432no—
1315C2×#121—432no—
1316C2×#121—432no—
1317C2×#121—434no—
1318C2×#121—434no—
1319C2×#121—434no—
1320C2×#121—432no—
1321C2×#121—432no—
1322C2×#121—434no—
1323C2×#121—432no—
1324C2×#121—432no—
1325C2×#121—434no—
1326C2×#121—434no—
1327C2×#120—432no—
1328C2×#120—434no—
1329C2×#120—434no—
1330C2×#120C2×D4312yescomplemented
1331#520—434no—
1332#518—434no—
1333#518—432no—
1334#518—432no—
1335#518—432no—
1336#518—432no—
1337#518C2×D4312yescomplemented
1338C2×C4×D4—434no—
1339C2×C4×D4—434no—
1340C2×#117—432no—
1341C22×C4⋊C4—431no—
1342C22×C22⋊C4—431no—
1343C22×C22⋊C4C2×D4311yescharacteristic, complemented
1344C43#6281811yescharacteristic, complemented, Sylow
1345C25—431no—
1346C25—431no—
1347C25C22×D4311yescharacteristic
1348H(5,𝔽2)—1728no—
1349H(5,𝔽2)—1728no—
1350H(5,𝔽2)—1728no—
1351C2×#41—432no—
1352C2×#41—434no—
1353C2×#41—434no—
1354C2×#41—432no—
1355C2×#41—434no—
1356C2×#41—434no—
1357C2×#41—434no—
1358C2×#41—432no—
1359C2×#41—434no—
1360C2×#41—432no—
1361C2×#41—434no—
1362C2×#41—434no—
1363C2×#41—434no—
1364C2×#41—1728no—
1365C2×#41C22×D4312yes—
1366C2×#41C22×D4312yes—
1367C22×Q8—432no—
1368C22×D4—432no—
1369C22×D4—432no—
1370C22×D4—432no—
1371C22×D4—432no—
1372C22×D4—432no—
1373C22×D4—432no—
1374C22×D4—432no—
1375C22×D4—432no—
1376C22×D4—434no—
1377C22×D4—432no—
1378C22×D4—432no—
1379C22×D4—434no—
1380C22×D4—432no—
1381C22×D4—434no—
1382C22×D4—434no—
1383C22×D4—434no—
1384C22×D4—434no—
1385C22×D4—434no—
1386C22×D4—434no—
1387C22×D4—434no—
1388C22×D4—434no—
1389C22×D4—432no—
1390C22×D4—434no—
1391C22×D4—434no—
1392C22×D4—434no—
1393C22×D4—432no—
1394C22×D4—432no—
1395C22×D4—432no—
1396C22×D4—434no—
1397C22×D4—432no—
1398C22×D4—434no—
1399C22×D4—1724no—
1400C22×D4—1724no—
1401C22×D4—1724no—
1402C22×D4C22×D4312yes—
1403C22×D4C22×D4312yes—
1404C22×D4C22×D4312yes—
1405C23×C4—431no—
1406C23×C4—431no—
1407C23×C4—432no—
1408C23×C4—432no—
1409C23×C4—432no—
1410C23×C4—434no—
1411C23×C4—432no—
1412C23×C4—432no—
1413C23×C4—432no—
1414C23×C4—1724no—
1415C23×C4C22×D4311yescharacteristic
1416C23×C4C22×D4311yescharacteristic
1417C4⋊Q8—434no—
1418C4⋊Q8—434no—
1419#127—434no—
1420#127—434no—
1421#127—434no—
1422#127—434no—
1423#127—434no—
1424#127—434no—
1425#126—434no—
1426#126—434no—
1427#126—434no—
1428#126—434no—
1429#126—434no—
1430#126—434no—
1431#126—434no—
1432#126—434no—
1433#126—434no—
1434#126—434no—
1435#126C22×D4314yescomplemented
1436#126C22×D4314yescomplemented
1437#125—434no—
1438#125—434no—
1439#125—434no—
1440#125—434no—
1441#125—434no—
1442#125—434no—
1443#124—434no—
1444#124—434no—
1445#124—434no—
1446#124—434no—
1447#124—434no—
1448#124—434no—
1449#124—434no—
1450#124—434no—
1451#124—434no—
1452#124—434no—
1453#124—434no—
1454#124—434no—
1455#124C22×D4314yescomplemented
1456#124C22×D4314yescomplemented
1457#123—434no—
1458#123—434no—
1459#123—434no—
1460#123—434no—
1461#123—434no—
1462#123—434no—
1463#123—434no—
1464#123—434no—
1465#123—434no—
1466#123—434no—
1467#123—434no—
1468#123—434no—
1469#123—434no—
1470#123—434no—
1471#123—434no—
1472#123—434no—
1473#123—434no—
1474#123—434no—
1475#123—434no—
1476#123—434no—
1477#123—434no—
1478#123—434no—
1479#123—434no—
1480#123—434no—
1481#123—434no—
1482#123—434no—
1483#123—434no—
1484#123—434no—
1485#123—434no—
1486#123—434no—
1487#123—434no—
1488#123—434no—
1489#123—434no—
1490#123—434no—
1491#123—434no—
1492#123C22×D4314yes—
1493#123C22×D4314yes—
1494#123C22×D4314yescomplemented
1495#123C22×D4314yescomplemented
1496#123C22×D4314yescomplemented
1497C22⋊Q8—432no—
1498C22⋊Q8—432no—
1499C22⋊Q8—434no—
1500C22⋊Q8—434no—
1501C22⋊Q8—432no—
1502C22⋊Q8—432no—
1503C22⋊Q8—432no—
1504C22⋊Q8—432no—
1505C22⋊Q8—434no—
1506C22⋊Q8—434no—
1507C22⋊Q8—434no—
1508C22⋊Q8—432no—
1509C22⋊Q8—432no—
1510C22⋊Q8—434no—
1511C22⋊Q8—434no—
1512C22⋊Q8—434no—
1513C22⋊Q8—434no—
1514C22⋊Q8—434no—
1515C22⋊Q8—434no—
1516C22⋊Q8—434no—
1517C22⋊Q8—434no—
1518C22⋊Q8—434no—
1519C22⋊Q8—434no—
1520C22⋊Q8—434no—
1521C22⋊Q8—434no—
1522C22⋊Q8—434no—
1523C22⋊Q8C22×D4312yes—
1524C22⋊Q8C22×D4312yes—
1525C22⋊Q8C22×D4312yes—
1526C22⋊Q8C22×D4312yes—
1527C22⋊Q8C22×D4314yescomplemented
1528C22⋊Q8C22×D4314yescomplemented
1529#121—432no—
1530#121—434no—
1531#121—434no—
1532#121—432no—
1533#121—434no—
1534#121—434no—
1535#121—434no—
1536#121—434no—
1537#121—434no—
1538#121—434no—
1539#121—434no—
1540#121—434no—
1541#121—434no—
1542#121—434no—
1543#121—434no—
1544#121—434no—
1545#121—434no—
1546#121—434no—
1547#121—434no—
1548#121—434no—
1549#121—432no—
1550#121—432no—
1551#121—434no—
1552#121—432no—
1553#121—432no—
1554#121—434no—
1555#121—434no—
1556#121—434no—
1557#121—434no—
1558#121—434no—
1559#121—434no—
1560#121—432no—
1561#121—432no—
1562#121—434no—
1563#121—434no—
1564#121—434no—
1565#121—434no—
1566#121—434no—
1567#121—434no—
1568#121—434no—
1569#121—434no—
1570#121—434no—
1571#121—434no—
1572#121—434no—
1573#121—434no—
1574#121—434no—
1575#121—434no—
1576#121—434no—
1577#121—434no—
1578#121—434no—
1579#121—434no—
1580#121—434no—
1581#121—434no—
1582#121—434no—
1583#121—434no—
1584#121—434no—
1585#121—434no—
1586#121—434no—
1587#121—434no—
1588#121—434no—
1589#121—434no—
1590#121—434no—
1591#121—434no—
1592#121—434no—
1593#121—434no—
1594#121—434no—
1595#121—434no—
1596#121—434no—
1597#121—434no—
1598#121—434no—
1599#121—434no—
1600#121—434no—
1601#121—434no—
1602#121—434no—
1603#121C22×D4312yes—
1604#121C22×D4312yes—
1605#121C22×D4312yes—
1606#121C22×D4312yes—
1607#121C22×D4314yescomplemented
1608#121C22×D4314yescomplemented
1609#120—434no—
1610#120—434no—
1611#120—434no—
1612#120—434no—
1613#120—434no—
1614#120—434no—
1615#120—434no—
1616#120—434no—
1617#120—434no—
1618#120—434no—
1619#120—434no—
1620#120—434no—
1621#120—434no—
1622#120—434no—
1623#120—434no—
1624#120—434no—
1625#120—434no—
1626#120—434no—
1627#120—434no—
1628#120—434no—
1629#120—434no—
1630#120—434no—
1631#120—434no—
1632#120—434no—
1633#120—434no—
1634#120—434no—
1635#120—434no—
1636#120—434no—
1637#120—434no—
1638#120—434no—
1639#120—434no—
1640#120C22×D4314yes—
1641#120C22×D4314yes—
1642#120C22×D4314yes—
1643#120C22×D4314yes—
1644#120C22×D4314yescomplemented
1645C4×Q8—434no—
1646C4×Q8—434no—
1647C4×D4—434no—
1648C4×D4—434no—
1649C4×D4—434no—
1650C4×D4—434no—
1651C4×D4—434no—
1652C4×D4—434no—
1653C4×D4—434no—
1654C4×D4—434no—
1655C4×D4—434no—
1656C4×D4—434no—
1657C4×D4—434no—
1658C4×D4—434no—
1659C4×D4—434no—
1660C4×D4—434no—
1661C4×D4—434no—
1662C4×D4—434no—
1663C4×D4—434no—
1664C4×D4—434no—
1665C4×D4—434no—
1666C4×D4—434no—
1667C4×D4—434no—
1668C4×D4—434no—
1669C4×D4—434no—
1670C4×D4—434no—
1671C4×D4—434no—
1672C4×D4—434no—
1673C4×D4—434no—
1674C4×D4—434no—
1675C4×D4—434no—
1676C4×D4—434no—
1677C4×D4—434no—
1678C4×D4—434no—
1679C4×D4—434no—
1680C4×D4—434no—
1681C4×D4—434no—
1682C4×D4—434no—
1683C4×D4—434no—
1684C4×D4—434no—
1685C4×D4—434no—
1686C4×D4—434no—
1687C4×D4C22×D4314yes—
1688C4×D4C22×D4314yes—
1689C4×D4C22×D4314yes—
1690C4×D4C22×D4314yes—
1691C4×D4C22×D4314yescomplemented
1692C4×D4C22×D4314yescomplemented
1693#117—432no—
1694#117—432no—
1695#117—432no—
1696#117—432no—
1697#117—434no—
1698#117—434no—
1699#117—434no—
1700#117—434no—
1701#117—434no—
1702#117—434no—
1703#117—434no—
1704#117—434no—
1705#117C22×D4312yes—
1706#117C22×D4312yes—
1707#117C22×D4314yescomplemented
1708C2×C4⋊C4—432no—
1709C2×C4⋊C4—432no—
1710C2×C4⋊C4—434no—
1711C2×C4⋊C4—432no—
1712C2×C4⋊C4—432no—
1713C2×C4⋊C4—434no—
1714C2×C4⋊C4—432no—
1715C2×C4⋊C4—432no—
1716C2×C4⋊C4—434no—
1717C2×C4⋊C4—434no—
1718C2×C4⋊C4—434no—
1719C2×C22⋊C4—432no—
1720C2×C22⋊C4—432no—
1721C2×C22⋊C4—432no—
1722C2×C22⋊C4—432no—
1723C2×C22⋊C4—432no—
1724C2×C22⋊C4—434no—
1725C2×C22⋊C4—434no—
1726C2×C22⋊C4—434no—
1727C2×C22⋊C4—434no—
1728C2×C22⋊C4—434no—
1729C2×C22⋊C4—434no—
1730C2×C22⋊C4—434no—
1731C2×C22⋊C4—434no—
1732C2×C22⋊C4—434no—
1733C2×C22⋊C4—434no—
1734C2×C22⋊C4—434no—
1735C2×C22⋊C4—434no—
1736C2×C22⋊C4—434no—
1737C2×C22⋊C4C22×D4311yescharacteristic
1738C2×C22⋊C4C22×D4311yescharacteristic
1739C2×C22⋊C4C22×D4311yescharacteristic
1740C2×C22⋊C4C22×D4311yescharacteristic
1741C2×C22⋊C4C22×D4314yes—
1742C2×C22⋊C4C22×D4314yes—
1743C2×C22⋊C4C22×D4312yes—
1744C2×C22⋊C4C22×D4312yes—
1745C2×C22⋊C4C22×D4312yes—
1746C2×C22⋊C4C22×D4314yescomplemented
1747C2×C42—434no—
1748C24—42no—
1749C24—42no—
1750C24—42no—
1751C24—431no—
1752C24—432no—
1753C24—432no—
1754C24—432no—
1755C24—432no—
1756C24—432no—
1757C24—434no—
1758C24—431no—
1759C24—434no—
1760C24—432no—
1761C24—864no—
1762C24—1722no—
1763C24—1722no—
1764C24—1722no—
1765C24—1722no—
1766C24—1722no—
1767C24C23×D4311yescharacteristic
1768C24C23×D4311yescharacteristic
1769C24C23×D4312yes—
1770C24C23×D4312yes—
1771C24C23×D4311yescharacteristic
1772C24C23×D4312yes—
1773#41—44no—
1774#41—44no—
1775#41—8616no—
1776#41—1724no—
1777#41—1724no—
1778#41—1728no—
1779#41—1728no—
1780#41—1728no—
1781#41—1728no—
1782#41—1724no—
1783#41—1724no—
1784#41—1728no—
1785#41—1728no—
1786#41—1728no—
1787#41—1728no—
1788C2×Q8—434no—
1789C2×Q8—432no—
1790C2×Q8—432no—
1791C2×Q8—434no—
1792C2×Q8—1724no—
1793C2×Q8C23×D4312yes—
1794C2×Q8C23×D4312yes—
1795C2×D4—44no—
1796C2×D4—44no—
1797C2×D4—44no—
1798C2×D4—434no—
1799C2×D4—434no—
1800C2×D4—434no—
1801C2×D4—434no—
1802C2×D4—434no—
1803C2×D4—434no—
1804C2×D4—434no—
1805C2×D4—434no—
1806C2×D4—434no—
1807C2×D4—434no—
1808C2×D4—434no—
1809C2×D4—434no—
1810C2×D4—434no—
1811C2×D4—434no—
1812C2×D4—434no—
1813C2×D4—434no—
1814C2×D4—434no—
1815C2×D4—434no—
1816C2×D4—434no—
1817C2×D4—434no—
1818C2×D4—434no—
1819C2×D4—434no—
1820C2×D4—434no—
1821C2×D4—434no—
1822C2×D4—434no—
1823C2×D4—434no—
1824C2×D4—434no—
1825C2×D4—432no—
1826C2×D4—434no—
1827C2×D4—434no—
1828C2×D4—434no—
1829C2×D4—432no—
1830C2×D4—434no—
1831C2×D4—434no—
1832C2×D4—868no—
1833C2×D4—868no—
1834C2×D4—8616no—
1835C2×D4—868no—
1836C2×D4—1724no—
1837C2×D4—1724no—
1838C2×D4—1728no—
1839C2×D4—1724no—
1840C2×D4—1728no—
1841C2×D4—1724no—
1842C2×D4—1728no—
1843C2×D4—1724no—
1844C2×D4—1728no—
1845C2×D4—1724no—
1846C2×D4—1728no—
1847C2×D4—1724no—
1848C2×D4—1724no—
1849C2×D4—1728no—
1850C2×D4—1728no—
1851C2×D4—1728no—
1852C2×D4—1728no—
1853C2×D4—1728no—
1854C2×D4—1728no—
1855C2×D4—1728no—
1856C2×D4—1724no—
1857C2×D4—1724no—
1858C2×D4—1724no—
1859C2×D4—1724no—
1860C2×D4—1728no—
1861C2×D4—1724no—
1862C2×D4—1728no—
1863C2×D4C23×D4314yes—
1864C2×D4C23×D4314yes—
1865C2×D4C23×D4314yes—
1866C2×D4C23×D4314yes—
1867C2×D4C23×D4312yes—
1868C2×D4C23×D4314yes—
1869C2×D4C23×D4314yes—
1870C2×D4C23×D4312yes—
1871C22×C4—42no—
1872C22×C4—42no—
1873C22×C4—431no—
1874C22×C4—432no—
1875C22×C4—432no—
1876C22×C4—432no—
1877C22×C4—431no—
1878C22×C4—434no—
1879C22×C4—432no—
1880C22×C4—432no—
1881C22×C4—432no—
1882C22×C4—432no—
1883C22×C4—432no—
1884C22×C4—434no—
1885C22×C4—432no—
1886C22×C4—434no—
1887C22×C4—432no—
1888C22×C4—434no—
1889C22×C4—432no—
1890C22×C4—432no—
1891C22×C4—434no—
1892C22×C4—432no—
1893C22×C4—434no—
1894C22×C4—432no—
1895C22×C4—434no—
1896C22×C4—434no—
1897C22×C4—434no—
1898C22×C4—434no—
1899C22×C4—434no—
1900C22×C4—434no—
1901C22×C4—432no—
1902C22×C4—432no—
1903C22×C4—868no—
1904C22×C4—864no—
1905C22×C4—1724no—
1906C22×C4—1724no—
1907C22×C4—1724no—
1908C22×C4—1724no—
1909C22×C4—1724no—
1910C22×C4—1728no—
1911C22×C4—1722no—
1912C22×C4C23×D4312yes—
1913C22×C4C23×D4312yes—
1914C22×C4C23×D4311yescharacteristic
1915C22×C4C23×D4312yes—
1916C22×C4C23×D4311yescharacteristic
1917C22×C4C23×D4314yes—
1918C22×C4C23×D4311yescharacteristic
1919C22×C4C23×D4312yes—
1920C22×C4C23×D4311yescharacteristic
1921C22×C4C23×D4312yes—
1922C22×C4C23×D4312yes—
1923C22×C4C23×D4312yes—
1924C22×C4C23×D4314yes—
1925C4⋊C4—434no—
1926C4⋊C4—434no—
1927C4⋊C4—434no—
1928C4⋊C4—434no—
1929C4⋊C4—434no—
1930C4⋊C4—434no—
1931C4⋊C4—434no—
1932C4⋊C4—432no—
1933C4⋊C4—432no—
1934C4⋊C4—434no—
1935C4⋊C4—434no—
1936C4⋊C4—434no—
1937C4⋊C4—434no—
1938C4⋊C4—434no—
1939C4⋊C4—434no—
1940C4⋊C4—434no—
1941C4⋊C4—434no—
1942C4⋊C4—434no—
1943C4⋊C4—432no—
1944C4⋊C4—434no—
1945C4⋊C4—432no—
1946C4⋊C4—434no—
1947C4⋊C4—434no—
1948C4⋊C4—434no—
1949C4⋊C4C23×D4312yes—
1950C4⋊C4C23×D4312yes—
1951C4⋊C4C23×D4314yes—
1952C4⋊C4C23×D4314yes—
1953C4⋊C4C23×D4314yes—
1954C4⋊C4C23×D4312yes—
1955C4⋊C4C23×D4312yes—
1956C4⋊C4C23×D4314yes—
1957C22⋊C4—434no—
1958C22⋊C4—434no—
1959C22⋊C4—434no—
1960C22⋊C4—434no—
1961C22⋊C4—434no—
1962C22⋊C4—434no—
1963C22⋊C4—434no—
1964C22⋊C4—434no—
1965C22⋊C4—434no—
1966C22⋊C4—434no—
1967C22⋊C4—434no—
1968C22⋊C4—434no—
1969C22⋊C4—434no—
1970C22⋊C4—434no—
1971C22⋊C4—434no—
1972C22⋊C4—434no—
1973C22⋊C4—434no—
1974C22⋊C4—434no—
1975C22⋊C4—434no—
1976C22⋊C4—434no—
1977C22⋊C4—434no—
1978C22⋊C4—434no—
1979C22⋊C4—434no—
1980C22⋊C4—434no—
1981C22⋊C4—434no—
1982C22⋊C4—434no—
1983C22⋊C4—434no—
1984C22⋊C4—434no—
1985C22⋊C4—434no—
1986C22⋊C4—434no—
1987C22⋊C4—434no—
1988C22⋊C4—434no—
1989C22⋊C4—434no—
1990C22⋊C4—434no—
1991C22⋊C4C23×D4314yes—
1992C22⋊C4C23×D4314yes—
1993C22⋊C4C23×D4314yes—
1994C22⋊C4C23×D4314yes—
1995C22⋊C4C23×D4314yes—
1996C22⋊C4C23×D4314yes—
1997C22⋊C4C23×D4314yes—
1998C22⋊C4C23×D4314yes—
1999C22⋊C4C23×D4314yes—
2000C22⋊C4C23×D4314yes—
2001C22⋊C4C23×D4314yes—
2002C22⋊C4C23×D4314yes—
2003C22⋊C4C23×D4314yes—
2004C22⋊C4C23×D4314yes—
2005C42—434no—
2006C42—434no—
2007C42—434no—
2008C42—434no—
2009C42—434no—
2010C42—434no—
2011C42C23×D4314yes—
2012C42C23×D4314yes—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—24no—
2017C23—24no—
2018C23—22no—
2019C23—22no—
2020C23—41no—
2021C23—42no—
2022C23—41no—
2023C23—41no—
2024C23—42no—
2025C23—41no—
2026C23—42no—
2027C23—42no—
2028C23—42no—
2029C23—42no—
2030C23—42no—
2031C23—88no—
2032C23—432no—
2033C23—434no—
2034C23—434no—
2035C23—432no—
2036C23—434no—
2037C23—868no—
2038C23—864no—
2039C23—864no—
2040C23—864no—
2041C23—864no—
2042C23—864no—
2043C23—864no—
2044C23—862no—
2045C23—864no—
2046C23—3448no—
2047C23—1724no—
2048C23—1722no—
2049C23—1722no—
2050C23—1722no—
2051C23—1722no—
2052C23—1724no—
2053C23—1722no—
2054C23—1722no—
2055C23—1721no—
2056C23—1722no—
2057C23—1721no—
2058C23—1721no—
2059C23—1722no—
2060C23—1721no—
2061C23—1724no—
2062C23—1724no—
2063C23—1722no—
2064C23—1722no—
2065C23—1722no—
2066C23—1724no—
2067C23—17216no—
2068C23C24×D4312yes—
2069C23C24×D4314yes—
2070C23C24×D4312yes—
2071C23C24×D4311yescharacteristic
2072C23C24×D4311yescharacteristic
2073C23C24×D4311yescharacteristic
2074Q8—42no—
2075Q8—42no—
2076Q8—868no—
2077Q8—1722no—
2078Q8—1722no—
2079Q8—1724no—
2080D4—28no—
2081D4—28no—
2082D4—28no—
2083D4—44no—
2084D4—44no—
2085D4—44no—
2086D4—42no—
2087D4—42no—
2088D4—868no—
2089D4—868no—
2090D4—868no—
2091D4—868no—
2092D4—868no—
2093D4—868no—
2094D4—868no—
2095D4—868no—
2096D4—868no—
2097D4—868no—
2098D4—868no—
2099D4—868no—
2100D4—1724no—
2101D4—1724no—
2102D4—1722no—
2103D4—1724no—
2104D4—1724no—
2105D4—1722no—
2106D4—1724no—
2107D4—1724no—
2108D4—1724no—
2109D4—1724no—
2110D4—1724no—
2111D4—1724no—
2112D4—1724no—
2113D4—1724no—
2114D4—1724no—
2115D4—1724no—
2116D4—1724no—
2117D4—1724no—
2118D4—1724no—
2119D4—1724no—
2120D4—1724no—
2121D4—1724no—
2122C2×C4—24no—
2123C2×C4—24no—
2124C2×C4—41no—
2125C2×C4—42no—
2126C2×C4—41no—
2127C2×C4—41no—
2128C2×C4—42no—
2129C2×C4—41no—
2130C2×C4—44no—
2131C2×C4—42no—
2132C2×C4—42no—
2133C2×C4—42no—
2134C2×C4—44no—
2135C2×C4—434no—
2136C2×C4—432no—
2137C2×C4—434no—
2138C2×C4—434no—
2139C2×C4—434no—
2140C2×C4—434no—
2141C2×C4—432no—
2142C2×C4—864no—
2143C2×C4—864no—
2144C2×C4—864no—
2145C2×C4—864no—
2146C2×C4—868no—
2147C2×C4—868no—
2148C2×C4—864no—
2149C2×C4—864no—
2150C2×C4—868no—
2151C2×C4—862no—
2152C2×C4—864no—
2153C2×C4—1722no—
2154C2×C4—1722no—
2155C2×C4—1722no—
2156C2×C4—1722no—
2157C2×C4—1724no—
2158C2×C4—1724no—
2159C2×C4—1724no—
2160C2×C4—1724no—
2161C2×C4—1724no—
2162C2×C4—1724no—
2163C2×C4—1724no—
2164C2×C4—1724no—
2165C2×C4—1722no—
2166C2×C4—1722no—
2167C2×C4—1724no—
2168C2×C4—1722no—
2169C2×C4—1722no—
2170C2×C4—1722no—
2171C2×C4C24×D4314yes—
2172C2×C4C24×D4312yes—
2173C2×C4C24×D4312yes—
2174C2×C4C24×D4314yes—
2175C2×C4C24×D4314yes—
2176C2×C4C24×D4312yes—
2177C2×C4C24×D4312yes—
2178C22—28no—
2179C22—21no—
2180C22—21no—
2181C22—21no—
2182C22—21no—
2183C22—21no—
2184C22—21no—
2185C22—24no—
2186C22—24no—
2187C22—22no—
2188C22—22no—
2189C22—22no—
2190C22—22no—
2191C22—22no—
2192C22—22no—
2193C22—24no—
2194C22—84no—
2195C22—84no—
2196C22—82no—
2197C22—82no—
2198C22—162no—
2199C22—434no—
2200C22—862no—
2201C22—862no—
2202C22—862no—
2203C22—864no—
2204C22—864no—
2205C22—864no—
2206C22—864no—
2207C22—862no—
2208C22—864no—
2209C22—864no—
2210C22—862no—
2211C22—3444no—
2212C22—3444no—
2213C22—3444no—
2214C22—3448no—
2215C22—1724no—
2216C22—1728no—
2217C22—1728no—
2218C22—1724no—
2219C22—6882no—
2220C22—6884no—
2221C22H(5,𝔽2)×D4312yes—
2222C22H(5,𝔽2)×D4312yes—
2223C22#1458373512yes—
2224C22C25×D4311yescharacteristic
2225C4—22no—
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—24no—
2230C4—24no—
2231C4—24no—
2232C4—434no—
2233C4—862no—
2234C4—864no—
2235C4—864no—
2236C4—864no—
2237C4—864no—
2238C2—22no—
2239C2—22no—
2240C2—22no—
2241C2—42no—
2242C2—42no—
2243C2—44no—
2244C2—864no—
2245C2—1724no—
2246C2—1724no—
2247C2—1722no—
2248C2C2×H(5,𝔽2)×D4311yescharacteristic
2249C2C2×H(5,𝔽2)×D4311yescharacteristic
2250C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3490C2
hypercenter#3490D43
hypocenterC43#62818
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #19148904C2semidirect
2. #19148896C2semidirect
3. #19148832C2semidirect
4. #19148827C2semidirect
5. #19148821C2semidirect
6. #19148816C2semidirect
7. #19148788C2semidirect
8. #19148777C2semidirect
9. #19148619C2semidirect
10. #19148617C2semidirect
11. #19148426C2semidirect
12. #19148355C2semidirect
13. #19148321C2semidirect
14. #19148296C2semidirect
15. #19148284C2semidirect
16. #19148278C2semidirect
17. #19148258C2semidirect
18. #19148228C2semidirect
19. #19148224C2semidirect
20. #19148224C2semidirect
21. #525×D43C2semidirect
22. C22×#13063298C2semidirect
23. C43×#3490C2semidirect
24. C2×#13063371C22semidirect
25. C2×#13063370C22semidirect
26. C2×#13063370C22semidirect
27. C2×#41×D43C22semidirect
28. C23×D172C22semidirect
29. C23×C22⋊D43C22semidirect
30. C23×C22⋊D43C22semidirect
31. C23×C4×D43C22semidirect
32. #14583646C22semidirect
33. #14583645C22semidirect
34. #14583645C22semidirect
35. #14583643C22semidirect
36. #14583640C22semidirect
37. #14583639C22semidirect
38. #14583638C22semidirect
39. #14583637C22semidirect
40. #14583612C22semidirect
41. #14583611C22semidirect
42. #14583608C22semidirect
43. #14583603C22semidirect
44. #14583600C22semidirect
45. #14583600C22semidirect
46. #14583600C22semidirect
47. #14583599C22semidirect
48. #14583598C22semidirect
49. #14583598C22semidirect
50. #14583594C22semidirect
51. #14583594C22semidirect
52. #14583593C22semidirect
53. #14583592C22semidirect
54. #14583586C22semidirect
55. #14583582C22semidirect
56. #14583578C22semidirect
57. #14583576C22semidirect
58. #14583575C22semidirect
59. #14583575C22semidirect
60. #14583573C22semidirect
61. #14583572C22semidirect
62. #14583570C22semidirect
63. #14583567C22semidirect
64. #14583559C22semidirect
65. #14583557C22semidirect
66. #14583551C22semidirect
67. #14583548C22semidirect
68. #14583547C22semidirect
69. #14583547C22semidirect
70. #14583545C22semidirect
71. #14583545C22semidirect
72. #14583545C22semidirect
73. #14583544C22semidirect
74. #14583542C22semidirect
75. #14583541C22semidirect
76. #14583541C22semidirect
77. #14583540C22semidirect
78. #14583540C22semidirect
79. #14583539C22semidirect
80. #14583539C22semidirect
81. #14583539C22semidirect
82. #14583539C22semidirect
83. #14583539C22semidirect
84. #14583539C22semidirect
85. #14583539C22semidirect
86. #14583539C22semidirect
87. #14583538C22semidirect
88. #14583538C22semidirect
89. #14583537C22semidirect
90. #14583536C22semidirect
91. #14583536C22semidirect
92. #14583536C22semidirect
93. #14583536C22semidirect
94. D4×D172C22semidirect
95. D4×D172C22semidirect
96. #14583533C22semidirect
97. #14583533C22semidirect
98. #14583533C22semidirect
99. D4×C22⋊D43C22semidirect
100. D4×C22⋊D43C22semidirect
101. D4×C22⋊D43C22semidirect
102. D4×C22⋊D43C22semidirect
103. #14583531C22semidirect
104. #14583531C22semidirect
105. #14583531C22semidirect
106. #14583531C22semidirect
107. #14583531C22semidirect
108. #14583528C22semidirect
109. #14583525C22semidirect
110. #14583524C22semidirect
111. #14583519C22semidirect
112. #14583515C22semidirect
113. #14583504C22semidirect
114. #14583501C22semidirect
115. #14583501C22semidirect
116. #14583501C22semidirect
117. #14583500C22semidirect
118. #14583499C22semidirect
119. #14583498C22semidirect
120. #14583495C22semidirect
121. #14583494C22semidirect
122. #14583491C22semidirect
123. #14583490C22semidirect
124. #14583489C22semidirect
125. #14583488C22semidirect
126. #14583487C22semidirect
127. #14583487C22semidirect
128. #14583487C22semidirect
129. #14583486C22semidirect
130. #14583485C22semidirect
131. #14583483C22semidirect
132. #14583483C22semidirect
133. #14583482C22semidirect
134. #14583482C22semidirect
135. #14583479C22semidirect
136. #14583479C22semidirect
137. #14583478C22semidirect
138. #14583476C22semidirect
139. #14583476C22semidirect
140. #14583468C22semidirect
141. #14583467C22semidirect
142. #14583464C22semidirect
143. #14583464C22semidirect
144. #14583464C22semidirect
145. #14583463C22semidirect
146. #14583461C22semidirect
147. #14583461C22semidirect
148. #14583461C22semidirect
149. #14583460C22semidirect
150. #14583460C22semidirect
151. #14583460C22semidirect
152. #14583459C22semidirect
153. #14583459C22semidirect
154. #14583459C22semidirect
155. #14583458C22semidirect
156. #14583458C22semidirect
157. #14583457C22semidirect
158. #14583448C22semidirect
159. #14583446C22semidirect
160. #14583432C22semidirect
161. #14583427C22semidirect
162. #14583412C22semidirect
163. #14583412C22semidirect
164. #14583411C22semidirect
165. #14583410C22semidirect
166. #14583410C22semidirect
167. #14583409C22semidirect
168. #14583409C22semidirect
169. #14583408C22semidirect
170. #14583408C22semidirect
171. #14583408C22semidirect
172. #14583407C22semidirect
173. #14583407C22semidirect
174. #14583406C22semidirect
175. #14583405C22semidirect
176. #14583405C22semidirect
177. #123×D43C22semidirect
178. C22⋊Q8×D43C22semidirect
179. C22⋊Q8×D43C22semidirect
180. C2×#13063298C22semidirect
181. C2×#13063298C22semidirect
182. C2×#13063298C22semidirect
183. C2×#13063298C22semidirect
184. C2×#13063298C22semidirect
185. C2×#13063298C22semidirect
186. C2×#13063298C22semidirect
187. C2×#13063298C22semidirect
188. C2×#13063298C22semidirect
189. #121×D43C22semidirect
190. #121×D43C22semidirect
191. #121×D43C22semidirect
192. C2×#13063294C22semidirect
193. #120×D43C22semidirect
194. #120×D43C22semidirect
195. #14583378C22semidirect
196. #14583373C22semidirect
197. #14583372C22semidirect
198. #14583372C22semidirect
199. #14583372C22semidirect
200. #14583371C22semidirect
201. C4×D4×D43C22semidirect
202. C4×D4×D43C22semidirect
203. #117×D43C22semidirect
204. C22×Dic43⋊C4C22semidirect
205. C22×(C2×D43)⋊C4C22semidirect
206. C43×#551C22semidirect
207. C43×#551C22semidirect
208. C43×#546C22semidirect
209. C43×#546C22semidirect
210. C43×#543C22semidirect
211. C43×#538C22semidirect
212. C43×#538C22semidirect
213. C43×#534C22semidirect
214. C43×#525C22semidirect
215. C43×#525C22semidirect
216. C2×#120×C43C22semidirect
217. C43×#518C22semidirect
218. C22×C22⋊C4×C43C22semidirect
224. C2×#10621902C23semidirect
225. C2×#10621902C23semidirect
228. C2×#10621898C23semidirect
229. C2×#10621898C23semidirect
230. C2×#10621898C23semidirect
231. C2×#10621898C23semidirect
234. C2×#10621900C23semidirect
235. C2×#10621900C23semidirect
236. C2×#10621900C23semidirect
238. C2×Q8×D43C23semidirect
245. C22×D172C23semidirect
261. C22×C22⋊D43C23semidirect
262. C22×C22⋊D43C23semidirect
269. C2×D4×D43C23semidirect
270. C2×D4×D43C23semidirect
271. C2×D4×D43C23semidirect
272. C2×D4×D43C23semidirect
282. C22×C4×D43C23semidirect
283. #13063324C23semidirect
284. #13063323C23semidirect
285. #13063322C23semidirect
286. #13063321C23semidirect
287. #13063321C23semidirect
288. #13063321C23semidirect
289. #13063321C23semidirect
290. #13063321C23semidirect
291. #13063320C23semidirect
292. #13063320C23semidirect
293. #13063320C23semidirect
294. #13063320C23semidirect
295. #13063319C23semidirect
296. #13063319C23semidirect
297. #13063318C23semidirect
298. #13063318C23semidirect
299. #13063318C23semidirect
300. #13063318C23semidirect
301. #13063317C23semidirect
302. #13063316C23semidirect
303. #13063315C23semidirect
304. #13063315C23semidirect
305. #13063315C23semidirect
306. #13063315C23semidirect
307. #13063314C23semidirect
308. #13063314C23semidirect
309. #13063313C23semidirect
310. #13063313C23semidirect
311. #13063311C23semidirect
312. #13063311C23semidirect
313. #13063311C23semidirect
314. #13063311C23semidirect
315. #13063311C23semidirect
316. #13063311C23semidirect
317. #13063311C23semidirect
318. #13063311C23semidirect
319. #13063310C23semidirect
320. #13063310C23semidirect
321. #13063310C23semidirect
322. #13063310C23semidirect
323. #13063310C23semidirect
324. #13063310C23semidirect
325. #13063310C23semidirect
326. #13063310C23semidirect
327. #13063310C23semidirect
328. #13063310C23semidirect
331. #13063309C23semidirect
332. #13063309C23semidirect
333. #13063309C23semidirect
334. #13063309C23semidirect
337. #13063308C23semidirect
338. #13063308C23semidirect
339. #13063308C23semidirect
340. #13063308C23semidirect
341. #13063307C23semidirect
342. #13063307C23semidirect
343. #13063307C23semidirect
344. #13063307C23semidirect
345. #13063307C23semidirect
346. #13063307C23semidirect
347. #13063307C23semidirect
348. #13063307C23semidirect
349. #13063307C23semidirect
350. #13063307C23semidirect
353. #13063306C23semidirect
354. #13063305C23semidirect
355. #13063305C23semidirect
356. #13063305C23semidirect
361. #13063304C23semidirect
362. #13063303C23semidirect
363. #13063303C23semidirect
364. #13063303C23semidirect
365. #13063303C23semidirect
366. #13063303C23semidirect
367. #13063303C23semidirect
372. #13063302C23semidirect
373. #13063302C23semidirect
374. #13063302C23semidirect
375. #13063302C23semidirect
376. #13063301C23semidirect
377. #13063301C23semidirect
378. #13063301C23semidirect
379. #13063301C23semidirect
380. #13063300C23semidirect
381. #13063300C23semidirect
382. #13063300C23semidirect
383. #13063300C23semidirect
384. #13063300C23semidirect
385. #13063300C23semidirect
386. #13063300C23semidirect
387. #13063300C23semidirect
388. #13063300C23semidirect
393. #13063299C23semidirect
394. #13063299C23semidirect
395. #13063299C23semidirect
396. #13063299C23semidirect
397. #13063299C23semidirect
398. #13063299C23semidirect
399. #13063299C23semidirect
416. #13063298C23semidirect
417. #13063298C23semidirect
418. #13063298C23semidirect
419. #13063298C23semidirect
420. #13063298C23semidirect
421. #13063298C23semidirect
422. #13063298C23semidirect
423. #13063298C23semidirect
424. #13063298C23semidirect
425. #13063298C23semidirect
426. #13063298C23semidirect
427. #13063298C23semidirect
428. #13063298C23semidirect
429. #13063298C23semidirect
430. #13063298C23semidirect
431. #13063298C23semidirect
432. #13063298C23semidirect
433. #13063298C23semidirect
438. #13063297C23semidirect
439. #13063297C23semidirect
440. #13063297C23semidirect
441. #13063297C23semidirect
442. #13063297C23semidirect
443. #13063297C23semidirect
444. #13063297C23semidirect
445. #13063297C23semidirect
446. #13063297C23semidirect
447. #13063297C23semidirect
448. #13063296C23semidirect
449. #13063296C23semidirect
450. #13063296C23semidirect
451. #13063296C23semidirect
452. #13063296C23semidirect
453. #13063296C23semidirect
460. #13063295C23semidirect
461. #13063295C23semidirect
462. #13063295C23semidirect
463. #13063295C23semidirect
464. #13063295C23semidirect
465. #13063295C23semidirect
466. #13063295C23semidirect
467. #13063295C23semidirect
472. #13063294C23semidirect
473. #13063294C23semidirect
480. #13063293C23semidirect
481. #13063293C23semidirect
482. #13063293C23semidirect
483. #13063293C23semidirect
484. #13063293C23semidirect
485. C4×Dic86C23semidirect
486. #13063290C23semidirect
487. C4×D172C23semidirect
488. C4×D172C23semidirect
489. C4×D172C23semidirect
490. C4×D172C23semidirect
491. C4×D172C23semidirect
496. #13063287C23semidirect
497. #13063287C23semidirect
498. #13063287C23semidirect
499. #13063287C23semidirect
500. #13063287C23semidirect
505. C4×C22⋊D43C23semidirect
506. C4×C22⋊D43C23semidirect
507. C4×C22⋊D43C23semidirect
508. C4×C22⋊D43C23semidirect
509. C4×C22⋊D43C23semidirect
510. C4×C22⋊D43C23semidirect
511. C4×C22⋊D43C23semidirect
512. C4×C22⋊D43C23semidirect
517. (C22⋊D43)⋊C4C23semidirect
518. (C22⋊D43)⋊C4C23semidirect
519. (C22⋊D43)⋊C4C23semidirect
520. (C22⋊D43)⋊C4C23semidirect
521. (C22⋊D43)⋊C4C23semidirect
522. (C22⋊D43)⋊C4C23semidirect
523. (C22⋊D43)⋊C4C23semidirect
524. (C22⋊D43)⋊C4C23semidirect
525. (C22⋊D43)⋊C4C23semidirect
526. (C22⋊D43)⋊C4C23semidirect
529. #13063283C23semidirect
530. #13063283C23semidirect
531. #13063283C23semidirect
532. #13063282C23semidirect
533. #13063282C23semidirect
534. #13063282C23semidirect
537. #13063281C23semidirect
538. #13063281C23semidirect
544. C2×Dic43⋊C4C23semidirect
545. C4⋊C4×D43C23semidirect
546. C4⋊C4×D43C23semidirect
547. C4⋊C4×D43C23semidirect
548. C4⋊C4×D43C23semidirect
549. C4⋊C4×D43C23semidirect
557. C2×(C2×D43)⋊C4C23semidirect
564. C22⋊C4×D43C23semidirect
565. C22⋊C4×D43C23semidirect
566. C22⋊C4×D43C23semidirect
567. C22⋊C4×D43C23semidirect
568. C42×D43C23semidirect
577. #126×C43C23semidirect
578. #126×C43C23semidirect
579. #124×C43C23semidirect
580. #124×C43C23semidirect
583. #123×C43C23semidirect
584. #123×C43C23semidirect
585. #123×C43C23semidirect
590. C22⋊Q8×C43C23semidirect
591. C22⋊Q8×C43C23semidirect
596. #121×C43C23semidirect
597. #121×C43C23semidirect
602. #120×C43C23semidirect
607. C4×D4×C43C23semidirect
608. C4×D4×C43C23semidirect
611. #117×C43C23semidirect
621. C2×C22⋊C4×C43C23semidirect
943. C22×D43H(5,𝔽2)semidirect
1011. C2×Dic43H(5,𝔽2)semidirect
1129. #3490D43semidirect
1187. #551C2×D43semidirect
1188. #551C2×D43semidirect
1221. #546C2×D43semidirect
1222. #546C2×D43semidirect
1240. #543C2×D43semidirect
1265. #538C2×D43semidirect
1266. #538C2×D43semidirect
1290. #534C2×D43semidirect
1310. #525C2×D43semidirect
1311. #525C2×D43semidirect
1330. C2×#120C2×D43semidirect
1337. #518C2×D43semidirect
1343. C22×C22⋊C4C2×D43semidirect
1344. C43#62818semidirect
1435. #126C22×D43semidirect
1436. #126C22×D43semidirect
1455. #124C22×D43semidirect
1456. #124C22×D43semidirect
1494. #123C22×D43semidirect
1495. #123C22×D43semidirect
1496. #123C22×D43semidirect
1527. C22⋊Q8C22×D43semidirect
1528. C22⋊Q8C22×D43semidirect
1607. #121C22×D43semidirect
1608. #121C22×D43semidirect
1644. #120C22×D43semidirect
1691. C4×D4C22×D43semidirect
1692. C4×D4C22×D43semidirect
1707. #117C22×D43semidirect
1746. C2×C22⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191489042
#191488962
#191488322
#191488272
#191488212
#191488162
#191487882
#191487772
#191486192
#191486172
#191484262
#191483552
#191483212
#191482962
#191482842
#191482782
#191482582
#191482282
#191482242
#525×D432
C22×#130632982
C43×#34902
#6281843