Finite Group Databasebeta

← #26005280

Subgroups — #26005280

Order 11008.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149149C212yesmaximal, complemented
2#19149137C212yesmaximal, complemented
3#19149136C214yesmaximal, complemented
4#19149133C211yesmaximal, characteristic, complemented
5#19149126C211yesmaximal, characteristic, complemented
6#19149123C212yesmaximal, complemented
7#19149114C211yesmaximal, characteristic, complemented
8#19149108C212yesmaximal, complemented
9#19148950C212yesmaximal, complemented
10#19148945C212yesmaximal, complemented
11#19148932C212yesmaximal, complemented
12#19148921C212yesmaximal, complemented
13#19148677C212yesmaximal, complemented
14#19148671C212yesmaximal, complemented
15#19148624C212yesmaximal, complemented
16#19148614C212yesmaximal, complemented
17#19148534C212yesmaximal, complemented
18#19148531C214yesmaximal, complemented
19#19148524C212yesmaximal, complemented
20#19148433C212yesmaximal, complemented
21#19148431C212yesmaximal, complemented
22#19148356C212yesmaximal, complemented
23#19148351C212yesmaximal, complemented
24#19148328C212yesmaximal, complemented
25#19148327C212yesmaximal, complemented
26#19148317C214yesmaximal, complemented
27#19148232C214yesmaximal, complemented
28#532×D43C211yesmaximal, characteristic, complemented
29C2×#14583428C211yesmaximal, characteristic, complemented
30#529×D43C211yesmaximal, characteristic, complemented
31C43×#3558C211yesmaximal, characteristic, complemented
32C2×#13063370C2214yescomplemented
33C2×#41×D43C2212yescomplemented
34#14583653C2212yescomplemented
35#14583652C2214yescomplemented
36#14583651C2214yescomplemented
37#14583649C2212yescomplemented
38#14583643C2212yescomplemented
39#14583643C2212yescomplemented
40#14583643C2212yescomplemented
41#14583641C2212yescomplemented
42#14583638C2214yescomplemented
43#14583637C2214yescomplemented
44#14583631C2214yescomplemented
45#14583631C2212yescomplemented
46#14583631C2212yescomplemented
47Q8×Dic86C2212yescomplemented
48#14583613C2214yescomplemented
49#14583613C2212yescomplemented
50#14583611C2214yescomplemented
51#14583609C2212yescomplemented
52#14583608C2212yescomplemented
53#14583608C2212yescomplemented
54#14583607C2214yescomplemented
55#14583607C2212yescomplemented
56#14583601C2214yescomplemented
57#14583601C2212yescomplemented
58#14583600C2214yescomplemented
59#14583599C2212yescomplemented
60#14583598C2214yescomplemented
61#14583596C2214yescomplemented
62#14583595C2212yescomplemented
63#14583595C2212yescomplemented
64#14583594C2214yescomplemented
65#14583594C2214yescomplemented
66#14583594C2214yescomplemented
67#14583592C2214yescomplemented
68#14583592C2214yescomplemented
69#14583592C2214yescomplemented
70#14583590C2212yescomplemented
71#14583585C2214yescomplemented
72#14583583C2212yescomplemented
73#14583580C2214yescomplemented
74#14583580C2214yescomplemented
75#14583579C2214yescomplemented
76#14583579C2214yescomplemented
77#14583578C2214yescomplemented
78#14583576C2214yescomplemented
79#14583576C2214yescomplemented
80#14583575C2214yescomplemented
81#14583574C2214yescomplemented
82#14583572C2214yescomplemented
83#14583569C2212yescomplemented
84#14583568C2212yescomplemented
85#14583560C2212yescomplemented
86#14583557C2214yescomplemented
87#14583554C2212yescomplemented
88#14583554C2214yescomplemented
89#14583553C2212yescomplemented
90#14583553C2214yescomplemented
91#14583551C2214yescomplemented
92#14583549C2214yescomplemented
93#14583549C2212yescomplemented
94#14583549C2212yescomplemented
95#14583549C2214yescomplemented
96#14583548C2214yescomplemented
97#14583547C2214yescomplemented
98#14583547C2214yescomplemented
99#14583547C2214yescomplemented
100#14583547C2214yescomplemented
101#14583546C2214yescomplemented
102#14583546C2214yescomplemented
103#14583543C2214yescomplemented
104#14583543C2214yescomplemented
105#14583542C2214yescomplemented
106#14583542C2212yescomplemented
107#14583542C2212yescomplemented
108#14583541C2214yescomplemented
109#14583541C2214yescomplemented
110#14583539C2214yescomplemented
111#14583539C2214yescomplemented
112#14583538C2214yescomplemented
113#14583537C2212yescomplemented
114#14583536C2214yescomplemented
115#14583536C2214yescomplemented
116#14583536C2214yescomplemented
117#14583536C2214yescomplemented
118#14583536C2214yescomplemented
119#14583536C2214yescomplemented
120#14583536C2214yescomplemented
121#14583534C2212yescomplemented
122D4×C22⋊D43C2212yescomplemented
123D4×C22⋊D43C2212yescomplemented
124D4×C22⋊D43C2212yescomplemented
125#14583531C2214yescomplemented
126#14583531C2214yescomplemented
127#14583528C2214yescomplemented
128#14583527C2212yescomplemented
129#14583526C2212yescomplemented
130#14583522C2212yescomplemented
131#14583522C2214yescomplemented
132#14583518C2212yescomplemented
133#14583518C2212yescomplemented
134#14583518C2214yescomplemented
135#14583518C2214yescomplemented
136#14583517C2214yescomplemented
137#14583517C2214yescomplemented
138#14583513C2214yescomplemented
139#14583504C2212yescomplemented
140#14583503C2212yescomplemented
141#14583503C2212yescomplemented
142#14583502C2212yescomplemented
143#14583499C2214yescomplemented
144#14583499C2214yescomplemented
145#14583498C2212yescomplemented
146#14583495C2214yescomplemented
147#14583494C2212yescomplemented
148#14583493C2214yescomplemented
149#14583492C2214yescomplemented
150#14583491C2214yescomplemented
151#14583490C2214yescomplemented
152#14583487C2212yescomplemented
153#14583486C2214yescomplemented
154#14583485C2214yescomplemented
155#14583484C2214yescomplemented
156#14583484C2214yescomplemented
157#14583484C2214yescomplemented
158#14583483C2214yescomplemented
159#14583483C2214yescomplemented
160#14583483C2214yescomplemented
161#14583478C2214yescomplemented
162#14583476C2212yescomplemented
163#14583476C2212yescomplemented
164#14583472C2214yescomplemented
165#14583469C2214yescomplemented
166#14583467C2212yescomplemented
167#14583464C2214yescomplemented
168#14583461C2212yescomplemented
169#14583459C2214yescomplemented
170#14583459C2214yescomplemented
171#14583459C2214yescomplemented
172#14583457C2214yescomplemented
173#14583457C2214yescomplemented
174#14583450C2211yescharacteristic, complemented
175#14583449C2211yescharacteristic, complemented
176#14583448C2212yescomplemented
177#14583447C2211yescharacteristic, complemented
178#14583447C2212yescomplemented
179#14583446C2212yescomplemented
180#14583446C2212yescomplemented
181#14583446C2212yescomplemented
182#14583445C2212yescomplemented
183#14583444C2214yescomplemented
184#14583444C2212yescomplemented
185#14583444C2212yescomplemented
186C4⋊Q8×D43C2211yescharacteristic, complemented
187#127×D43C2211yescharacteristic, complemented
188#14583436C2212yescomplemented
189#14583436C2211yescharacteristic, complemented
190#14583435C2211yescharacteristic, complemented
191#14583434C2211yescharacteristic, complemented
192#14583433C2211yescharacteristic, complemented
193#14583432C2212yescomplemented
194#14583431C2211yescharacteristic, complemented
195#14583430C2211yescharacteristic, complemented
196#14583429C2214yescomplemented
197#14583429C2212yescomplemented
198#14583428C2212yescomplemented
199#14583428C2212yescomplemented
200#14583428C2212yescomplemented
201#14583428C2211yescharacteristic, complemented
202#14583428C2212yescomplemented
203#14583428C2212yescomplemented
204#14583428C2212yescomplemented
205#14583428C2212yescomplemented
206#14583428C2212yescomplemented
207#14583428C2212yescomplemented
208#14583427C2212yescomplemented
209#14583426C2212yescomplemented
210C2×#13063318C2212yescomplemented
211#126×D43C2212yescomplemented
212C2×#13063317C2211yescharacteristic, complemented
213#125×D43C2211yescharacteristic, complemented
214#124×D43C2211yescharacteristic, complemented
215#124×D43C2212yescomplemented
216#14583412C2212yescomplemented
217#14583409C2214yescomplemented
218#14583408C2214yescomplemented
219#14583406C2212yescomplemented
220#14583405C2214yescomplemented
221C2×#13063307C2212yescomplemented
222C2×#13063307C2214yescomplemented
223#123×D43C2212yescomplemented
224#123×D43C2214yescomplemented
225C2×#13063301C2211yescharacteristic, complemented
226C22⋊Q8×D43C2211yescharacteristic, complemented
227C2×#13063297C2214yescomplemented
228C2×#13063296C2211yescharacteristic
229C2×#13063296C2212yescomplemented
230#121×D43C2211yescharacteristic
231#121×D43C2212yescomplemented
232#121×D43C2212yescomplemented
233#121×D43C2212yescomplemented
234#14583382C2212yescomplemented
235#14583381C2212yescomplemented
236#14583378C2214yescomplemented
237#14583374C2212yescomplemented
238#14583372C2214yescomplemented
239#14583371C2212yescomplemented
240#14583371C2214yescomplemented
241C2×Q8×Dic43C2211yescharacteristic, complemented
242C4×Q8×D43C2211yescharacteristic, complemented
243C2×D4×Dic43C2211yescharacteristic, complemented
244C2×(C22⋊D43)⋊C4C2212yescomplemented
245C4×D4×D43C2212yescomplemented
246C4×D4×D43C2211yescharacteristic, complemented
247C4×D4×D43C2212yescomplemented
248C4×D4×D43C2212yescomplemented
249C2×#13063281C2212yescomplemented
250#117×D43C2212yescomplemented
251C2×C42×D43C2211yescharacteristic, complemented
252C43×#562C2212yescomplemented
253C43×H(3,𝔽4)C2212yescomplemented
254C43×#559C2212yescomplemented
255C43×#548C2212yescomplemented
256C43×#546C2214yescomplemented
257C43×#546C2212yescomplemented
258D42×C43C2212yescomplemented
259C43×#542C2212yescomplemented
260C43×#538C2214yescomplemented
261C43×#538C2212yescomplemented
262C43×#535C2212yescomplemented
263C43×#534C2212yescomplemented
264C43×#532C2211yescharacteristic, complemented
265C43×#529C2211yescharacteristic, complemented
266C2×#124×C43C2211yescharacteristic, complemented
267#13063370—416no—
268C2×#10621902C2312yes—
269C2×#10621902C2312yes—
270C2×#10621898C2314yes—
271C2×#10621898C2314yes—
272C2×#10621898C2314yes—
273C2×#10621898C2312yes—
274C2×#10621900C2314yes—
275C2×#10621900C2314yes—
276C2×#10621900C2314yes—
277C2×#10621900C2314yes—
278C2×#10621900C2314yes—
279C2×#10621900C2312yes—
280C2×#10621900C2314yes—
281#41×D43—48no—
282C2×Q8×D43C2311yescharacteristic
283C2×Q8×D43C2312yes—
284C22×C22⋊D43C2312yes—
285C22×C22⋊D43C2314yes—
286C22×C22⋊D43C2314yes—
287C22×C22⋊D43C2314yes—
288C22×C22⋊D43C2314yes—
289C2×D4×D43C2312yes—
290C2×D4×D43C2314yes—
291C2×D4×D43C2311yescharacteristic
292C2×D4×D43C2312yes—
293C2×D4×D43C2312yes—
294C2×D4×D43C2312yes—
295C2×D4×D43C2314yes—
296C2×D4×D43C2314yes—
297C2×D4×D43C2312yes—
298C23×Dic43C2312yes—
299C22×C4×D43C2311yescharacteristic
300C22×C4×D43C2311yescharacteristic
301C22×C4×D43C2311yescharacteristic
302C22×C4×D43C2312yes—
303C22×C4×D43C2314yes—
304#13063325C2312yes—
305#13063325C2314yes—
306#13063325C2311yescharacteristic
307#13063324C2312yes—
308#13063324C2314yes—
309#13063324C2312yes—
310#13063324C2314yes—
311#13063324C2314yes—
312#13063324C2312yes—
313#13063323C2314yes—
314#13063323C2312yes—
315#13063322C2311yescharacteristic
316#13063321C2312yes—
317#13063321C2314yes—
318#13063321C2312yes—
319#13063321C2312yes—
320#13063321C2312yes—
321#13063320C2314yes—
322#13063320C2314yes—
323#13063320C2314yes—
324#13063320C2314yes—
325#13063320C2312yes—
326#13063320C2312yes—
327#13063320C2312yes—
328#13063319C2314yes—
329#13063319C2312yes—
330#13063318C2314yes—
331#13063318C2312yes—
332#13063318C2314yes—
333#13063318C2314yes—
334#13063318C2314yes—
335#13063318C2314yes—
336#13063318C2314yes—
337#13063318C2314yes—
338#13063318C2314yes—
339#13063318C2312yes—
340#13063318C2312yes—
341#13063318C2314yes—
342#13063318C2314yes—
343#13063317C2312yes—
344#13063317C2312yes—
345#13063317C2311yescharacteristic
346#13063317C2312yes—
347#13063317C2312yes—
348#13063317C2312yes—
349#13063316C2312yes—
350#13063316C2314yes—
351#13063316C2311yescharacteristic
352#13063316C2311yescharacteristic
353#13063315C2314yes—
354#13063315C2314yes—
355#13063315C2314yes—
356#13063315C2314yes—
357#13063315C2312yes—
358#13063315C2312yes—
359#13063314C2314yes—
360#13063314C2312yes—
361#13063314C2312yes—
362#13063314C2311yescharacteristic
363#13063313C2311yescharacteristic
364#13063313C2312yes—
365#13063312C2312yes—
366#13063312C2314yes—
367#13063312C2314yes—
368#13063312C2311yescharacteristic
369#13063311C2314yes—
370#13063311C2314yes—
371#13063311C2314yes—
372#13063311C2314yes—
373#13063311C2314yes—
374#13063311C2314yes—
375#13063311C2314yes—
376#13063311C2312yes—
377#13063311C2312yes—
378#13063311C2314yes—
379#13063311C2314yes—
380#13063310C2314yes—
381#13063310C2314yes—
382#13063310C2314yes—
383#13063310C2314yes—
384#13063310C2312yes—
385#13063310C2312yes—
386#13063310C2314yes—
387#13063309C2312yes—
388#13063309C2314yes—
389#13063309C2314yes—
390#13063309C2314yes—
391#13063309C2314yes—
392#13063309C2314yes—
393#13063309C2314yes—
394#13063309C2314yes—
395#13063309C2314yes—
396#13063308C2314yes—
397#13063308C2314yes—
398#13063308C2312yes—
399#13063307C2314yes—
400#13063307C2314yes—
401#13063307C2314yes—
402#13063307C2314yes—
403#13063307C2314yes—
404#13063307C2314yes—
405#13063307C2314yes—
406#13063307C2314yes—
407#13063307C2314yes—
408#13063307C2314yes—
409#13063307C2314yes—
410#13063307C2314yes—
411#13063307C2314yes—
412#13063307C2314yes—
413#13063307C2314yes—
414#13063307C2314yes—
415#13063307C2312yes—
416#13063307C2312yes—
417#13063307C2314yes—
418#13063307C2314yes—
419#13063306C2314yes—
420#13063306C2314yes—
421#13063306C2314yes—
422#13063306C2314yes—
423#13063306C2314yes—
424#13063306C2314yes—
425#13063306C2312yes—
426#13063306C2314yes—
427#13063305C2314yes—
428#13063305C2314yes—
429#13063305C2314yes—
430#13063305C2311yescharacteristic
431#13063304C2314yes—
432#13063304C2314yes—
433#13063304C2314yes—
434#13063304C2311yescharacteristic
435#13063303C2314yes—
436#13063303C2314yes—
437#13063303C2312yes—
438#13063303C2314yes—
439#13063302C2314yes—
440#13063302C2314yes—
441#13063302C2314yes—
442#13063302C2314yes—
443#13063302C2314yes—
444#13063302C2314yes—
445#13063302C2314yes—
446#13063302C2314yes—
447#13063302C2314yes—
448#13063302C2314yes—
449#13063302C2314yes—
450#13063302C2312yes—
451#13063301C2314yes—
452#13063301C2314yes—
453#13063301C2312yes—
454#13063301C2312yes—
455#13063301C2314yes—
456#13063301C2311yescharacteristic
457#13063301C2312yes—
458#13063301C2312yes—
459#13063301C2312yes—
460#13063300C2312yes—
461#13063300C2311yescharacteristic
462#13063300C2312yes—
463#13063299C2312yes—
464#13063299C2314yes—
465#13063299C2312yes—
466#13063299C2314yes—
467#13063299C2312yes—
468#13063299C2311yescharacteristic
469#13063299C2312yes—
470#13063298C2314yes—
471#13063298C2314yes—
472#13063298C2314yes—
473#13063298C2314yes—
474#13063298C2314yes—
475#13063298C2314yes—
476#13063298C2314yes—
477#13063298C2314yes—
478#13063298C2314yes—
479#13063298C2314yes—
480#13063298C2312yes—
481#13063298C2314yes—
482#13063297C2314yes—
483#13063297C2314yes—
484#13063297C2314yes—
485#13063297C2314yes—
486#13063297C2314yes—
487#13063297C2314yes—
488#13063297C2314yes—
489#13063297C2314yes—
490#13063297C2314yes—
491#13063297C2314yes—
492#13063297C2314yes—
493#13063297C2314yes—
494#13063297C2314yes—
495#13063297C2314yes—
496#13063297C2314yes—
497#13063297C2314yes—
498#13063297C2314yes—
499#13063297C2312yes—
500#13063297C2314yes—
501#13063296C2314yes—
502#13063296C2314yes—
503#13063296C2312yes—
504#13063296C2312yes—
505#13063296C2312yes—
506#13063296C2314yes—
507#13063296C2314yes—
508#13063296C2314yes—
509#13063296C2314yes—
510#13063296C2312yes—
511#13063296C2312yes—
512#13063296C2314yes—
513#13063296C2311yescharacteristic
514#13063296C2312yes—
515#13063296C2312yes—
516#13063296C2312yes—
517#13063296C2312yes—
518#13063295C2314yes—
519#13063295C2314yes—
520#13063295C2314yes—
521#13063295C2314yes—
522#13063295C2314yes—
523#13063294C2314yes—
524#13063294C2314yes—
525#13063294C2314yes—
526#13063293C2314yes—
527#13063293C2314yes—
528#13063293C2314yes—
529#13063293C2314yes—
530#13063293C2314yes—
531#13063293C2314yes—
532#13063293C2314yes—
533Q8×Dic43C2312yes—
534Q8×Dic43C2312yes—
535Q8×Dic43C2312yes—
536Q8×Dic43C2311yescharacteristic
537Q8×Dic43C2312yes—
538Q8×Dic43C2312yes—
539C4×Dic86C2314yes—
540C4×Dic86C2312yes—
541C4×Dic86C2311yescharacteristic
542#13063290C2312yes—
543#13063290C2311yescharacteristic
544C4×D172C2314yes—
545C4×D172C2312yes—
546C4×D172C2314yes—
547C4×D172C2312yes—
548C4×D172C2312yes—
549C4×D172C2312yes—
550C4×D172C2311yescharacteristic
551C4×D172C2312yes—
552D4×Dic43C2312yes—
553D4×Dic43C2312yes—
554D4×Dic43C2314yes—
555D4×Dic43C2312yes—
556D4×Dic43C2314yes—
557D4×Dic43C2314yes—
558D4×Dic43C2314yes—
559D4×Dic43C2312yes—
560D4×Dic43C2312yes—
561D4×Dic43C2314yes—
562D4×Dic43C2314yes—
563D4×Dic43C2312yes—
564D4×Dic43C2312yes—
565D4×Dic43C2312yes—
566D4×Dic43C2311yescharacteristic
567D4×Dic43C2312yes—
568D4×Dic43C2312yes—
569#13063287C2312yes—
570#13063287C2312yes—
571#13063287C2314yes—
572#13063287C2314yes—
573#13063287C2312yes—
574#13063287C2311yescharacteristic
575C4×C22⋊D43C2314yes—
576C4×C22⋊D43C2312yes—
577C4×C22⋊D43C2314yes—
578C4×C22⋊D43C2312yes—
579C4×C22⋊D43C2314yes—
580C4×C22⋊D43C2314yes—
581C4×C22⋊D43C2314yes—
582C4×C22⋊D43C2312yes—
583C4×C22⋊D43C2314yes—
584C4×C22⋊D43C2314yes—
585C4×C22⋊D43C2314yes—
586C4×C22⋊D43C2314yes—
587(C22⋊D43)⋊C4C2314yes—
588(C22⋊D43)⋊C4C2314yes—
589(C22⋊D43)⋊C4C2314yes—
590(C22⋊D43)⋊C4C2314yes—
591(C22⋊D43)⋊C4C2312yes—
592(C22⋊D43)⋊C4C2314yes—
593(C22⋊D43)⋊C4C2314yes—
594(C22⋊D43)⋊C4C2314yes—
595(C22⋊D43)⋊C4C2314yes—
596(C22⋊D43)⋊C4C2314yes—
597(C22⋊D43)⋊C4C2314yes—
598(C22⋊D43)⋊C4C2314yes—
599(C22⋊D43)⋊C4C2312yes—
600(C22⋊D43)⋊C4C2314yes—
601(C22⋊D43)⋊C4C2314yes—
602(C22⋊D43)⋊C4C2312yes—
603(C22⋊D43)⋊C4C2314yes—
604#13063284C2314yes—
605#13063284C2312yes—
606#13063284C2312yes—
607#13063283C2314yes—
608#13063283C2312yes—
609#13063283C2312yes—
610#13063283C2312yes—
611#13063282C2314yes—
612#13063282C2314yes—
613#13063282C2314yes—
614#13063282C2312yes—
615#13063282C2312yes—
616#13063281C2314yes—
617#13063281C2314yes—
618#13063281C2314yes—
619#13063281C2312yes—
620#13063281C2312yes—
621#13063281C2314yes—
622#13063281C2314yes—
623#13063281C2314yes—
624C2×C4⋊Dic43C2311yescharacteristic
625C2×C4⋊Dic43C2312yes—
626C2×C4⋊Dic43C2312yes—
627C2×C4⋊Dic43C2314yes—
628C2×C4⋊Dic43C2311yescharacteristic
629C2×Dic43⋊C4C2312yes—
630C2×Dic43⋊C4C2314yes—
631C2×Dic43⋊C4C2314yes—
632C2×Dic43⋊C4C2312yes—
633C2×Dic43⋊C4C2312yes—
634C4⋊C4×D43C2312yes—
635C4⋊C4×D43C2312yes—
636C4⋊C4×D43C2314yes—
637C4⋊C4×D43C2312yes—
638C4⋊C4×D43C2312yes—
639C4⋊C4×D43C2311yescharacteristic
640C4⋊C4×D43C2314yes—
641C4⋊C4×D43C2312yes—
642C4⋊C4×D43C2312yes—
643C4⋊C4×D43C2312yes—
644C4⋊C4×D43C2311yescharacteristic
645C2×C22⋊Dic43C2314yes—
646C2×C22⋊Dic43C2314yes—
647C2×C22⋊Dic43C2314yes—
648C2×C22⋊Dic43C2312yes—
649C2×C22⋊Dic43C2312yes—
650C2×(C2×D43)⋊C4C2314yes—
651C2×(C2×D43)⋊C4C2314yes—
652C2×(C2×D43)⋊C4C2312yes—
653C22⋊C4×D43C2314yes—
654C22⋊C4×D43C2314yes—
655C22⋊C4×D43C2314yes—
656C22⋊C4×D43C2314yes—
657C22⋊C4×D43C2314yes—
658C22⋊C4×D43C2314yes—
659C22⋊C4×D43C2312yes—
660C22⋊C4×D43C2312yes—
661C22⋊C4×D43C2312yes—
662C22⋊C4×D43C2312yes—
663C22⋊C4×D43C2312yes—
664C2×C4×Dic43C2311yescharacteristic
665C2×C4×Dic43C2311yescharacteristic
666C2×C4×Dic43C2311yescharacteristic
667C2×C4×Dic43C2312yes—
668C42×D43C2311yescharacteristic
669C42×D43C2311yescharacteristic
670C42×D43C2311yescharacteristic
671C42×D43C2311yescharacteristic
672C42×D43C2311yescharacteristic
673C42×D43C2311yescharacteristic
674C42×D43C2311yescharacteristic
675C42×D43C2311yescharacteristic
676C42×D43C2312yes—
677C2×#41×C43C2312yes—
678C2×#41×C43C2312yes—
679C22×Q8×C43C2311yescharacteristic
680C22×D4×C43C2311yescharacteristic
681C22×D4×C43C2314yes—
682C22×D4×C43C2312yes—
683C4⋊Q8×C43C2311yescharacteristic
684#127×C43C2312yes—
685#127×C43C2311yescharacteristic
686#126×C43C2314yes—
687#126×C43C2312yes—
688#125×C43C2311yescharacteristic
689#124×C43C2314yes—
690#124×C43C2314yes—
691#124×C43C2312yes—
692#124×C43C2312yes—
693#124×C43C2312yes—
694#124×C43C2312yes—
695#124×C43C2311yescharacteristic
696#124×C43C2312yes—
697#124×C43C2312yes—
698#124×C43C2314yes—
699#123×C43C2314yes—
700#123×C43C2312yes—
701#123×C43C2314yes—
702#123×C43C2314yes—
703#123×C43C2314yes—
704C22⋊Q8×C43C2314yes—
705C22⋊Q8×C43C2314yes—
706C22⋊Q8×C43C2312yes—
707C22⋊Q8×C43C2311yescharacteristic
708#121×C43C2311yescharacteristic
709#121×C43C2312yes—
710#121×C43C2312yes—
711#121×C43C2314yes—
712#121×C43C2314yes—
713#121×C43C2314yes—
714#121×C43C2314yes—
715#121×C43C2314yes—
716#121×C43C2312yes—
717#120×C43C2314yes—
718#120×C43C2314yes—
719#120×C43C2314yes—
720#120×C43C2314yes—
721#120×C43C2314yes—
722C4×Q8×C43C2311yescharacteristic
723C4×Q8×C43C2312yes—
724C4×D4×C43C2312yes—
725C4×D4×C43C2314yes—
726C4×D4×C43C2314yes—
727C4×D4×C43C2312yes—
728C4×D4×C43C2311yescharacteristic
729C4×D4×C43C2312yes—
730C4×D4×C43C2312yes—
731#117×C43C2312yes—
732C2×C22⋊C4×C43C2314yes—
733C2×C22⋊C4×C43C2312yes—
734C2×C22⋊C4×C43C2312yes—
735C2×C42×C43C2311yescharacteristic
736C24×C43C2412yes—
737C24×C43C2414yes—
738C23×D43C2412yes—
739C23×D43C2414yes—
740C23×D43C2414yes—
741C23×D43C2411yescharacteristic
742#41×C43—44no—
743#41×C43—44no—
744C2×Q8×C43—42no—
745C2×Q8×C43C2412yes—
746C2×Q8×C43C2411yescharacteristic
747C2×Q8×C43C2412yes—
748C2×Q8×C43C2412yes—
749C2×D4×C43—48no—
750C2×D4×C43—42no—
751C2×D4×C43—44no—
752C2×D4×C43C2414yes—
753C2×D4×C43C2412yes—
754C2×D4×C43C2412yes—
755C2×D4×C43C2412yes—
756C2×D4×C43C2411yescharacteristic
757C2×D4×C43C2414yes—
758C2×D4×C43C2412yes—
759C2×D4×C43C2414yes—
760C2×D4×C43C2414yes—
761C2×D4×C43C2412yes—
762C2×D4×C43C2412yes—
763C2×D4×C43C2414yes—
764C2×D4×C43C2414yes—
765C22×C4×C43C2411yescharacteristic
766C22×C4×C43C2411yescharacteristic
767C22×C4×C43C2412yes—
768C22×C4×C43C2411yescharacteristic
769C22×C4×C43C2412yes—
770C22×C4×C43C2414yes—
771C22×C4×C43C2414yes—
772C22×C4×C43C2414yes—
773C2×C22⋊D43—28no—
774C2×C22⋊D43—48no—
775C2×C22⋊D43—48no—
776C2×C22⋊D43—48no—
777C2×C22⋊D43—48no—
778C2×C22⋊D43C2412yes—
779C2×C22⋊D43C2414yes—
780C2×C22⋊D43C2414yes—
781C2×C22⋊D43C2414yes—
782C2×C22⋊D43C2412yes—
783C2×C22⋊D43C2414yes—
784C2×C22⋊D43C2414yes—
785C2×C22⋊D43C2412yes—
786C2×C22⋊D43C2414yes—
787C2×C22⋊D43C2414yes—
788C2×C22⋊D43C2414yes—
789C2×C22⋊D43C2414yes—
790C2×C22⋊D43C2414yes—
791C2×C22⋊D43C2414yes—
792C2×C22⋊D43C2414yes—
793C2×C22⋊D43C2414yes—
794C2×C22⋊D43C2414yes—
795C2×C22⋊D43C2414yes—
796C22×Dic43—44no—
797C22×Dic43C2411yescharacteristic
798C22×Dic43C2411yescharacteristic
799C22×Dic43C2412yes—
800C22×Dic43C2414yes—
801C22×Dic43C2411yescharacteristic
802C22×Dic43C2412yes—
803C22×Dic43C2414yes—
804C22×Dic43C2414yes—
805C22×Dic43C2412yes—
806C22×Dic43C2414yes—
807C22×Dic43C2414yes—
808C22×Dic43C2414yes—
809C22×Dic43C2414yes—
810#10621902—44no—
811#10621902—44no—
812Q8×D43—42no—
813Q8×D43—44no—
814#10621900—48no—
815#10621900—44no—
816#10621900—48no—
817#10621900—48no—
818#10621900—48no—
819#10621900—48no—
820#10621900—48no—
821D4×D43—216no—
822D4×D43—28no—
823D4×D43—44no—
824D4×D43—48no—
825D4×D43—48no—
826D4×D43—44no—
827D4×D43—44no—
828D4×D43—44no—
829D4×D43—42no—
830#10621898—48no—
831#10621898—48no—
832#10621898—48no—
833#10621898—44no—
834C2×D172C2412yes—
835C2×D172C2412yes—
836C2×D172C2414yes—
837C2×D172C2414yes—
838C2×D172C2411yescharacteristic
839C2×D172C2412yes—
840C2×D172C2412yes—
841C2×C4×D43—24no—
842C2×C4×D43—48no—
843C2×C4×D43—42no—
844C2×C4×D43—42no—
845C2×C4×D43—44no—
846C2×C4×D43C2411yescharacteristic
847C2×C4×D43C2411yescharacteristic
848C2×C4×D43C2411yescharacteristic
849C2×C4×D43C2411yescharacteristic
850C2×C4×D43C2411yescharacteristic
851C2×C4×D43C2411yescharacteristic
852C2×C4×D43C2411yescharacteristic
853C2×C4×D43C2411yescharacteristic
854C2×C4×D43C2412yes—
855C2×C4×D43C2414yes—
856C2×C4×D43C2412yes—
857C2×C4×D43C2411yescharacteristic
858C2×C4×D43C2411yescharacteristic
859C2×C4×D43C2411yescharacteristic
860C2×C4×D43C2411yescharacteristic
861C2×C4×D43C2412yes—
862C2×C4×D43C2412yes—
863C2×C4×D43C2414yes—
864C2×C4×D43C2414yes—
865C2×C4×D43C2412yes—
866C2×C4×D43C2414yes—
867C2×C4×D43C2414yes—
868C2×C4×D43C2414yes—
869C2×C4×D43C2414yes—
870C2×Dic86C2412yes—
871C2×Dic86C2411yescharacteristic
872C2×Dic86C2412yes—
873C2×Dic86C2414yes—
874C2×Dic86C2414yes—
875C2×Dic86C2414yes—
876C4⋊C4×C43C2412yes—
877C4⋊C4×C43C2412yes—
878C4⋊C4×C43C2412yes—
879C4⋊C4×C43C2412yes—
880C4⋊C4×C43C2412yes—
881C4⋊C4×C43C2414yes—
882C4⋊C4×C43C2412yes—
883C4⋊C4×C43C2411yescharacteristic
884C4⋊C4×C43C2414yes—
885C4⋊C4×C43C2411yescharacteristic
886C22⋊C4×C43C2412yes—
887C22⋊C4×C43C2414yes—
888C22⋊C4×C43C2414yes—
889C22⋊C4×C43C2414yes—
890C22⋊C4×C43C2414yes—
891C22⋊C4×C43C2414yes—
892C22⋊C4×C43C2414yes—
893C22⋊C4×C43C2412yes—
894C22⋊C4×C43C2412yes—
895C22⋊C4×C43C2412yes—
896C22⋊C4×C43C2414yes—
897C22⋊C4×C43C2412yes—
898C22⋊C4×C43C2414yes—
899C22⋊C4×C43C2414yes—
900C22⋊C4×C43C2414yes—
901C22⋊C4×C43C2414yes—
902C42×C43C2411yescharacteristic
903C42×C43C2411yescharacteristic
904C42×C43C2411yescharacteristic
905C42×C43C2411yescharacteristic
906C42×C43C2412yes—
907C42×C43C2414yes—
908C22⋊Dic43C2414yes—
909C22⋊Dic43C2412yes—
910C22⋊Dic43C2412yes—
911C22⋊Dic43C2414yes—
912C22⋊Dic43C2414yes—
913C22⋊Dic43C2414yes—
914C22⋊Dic43C2414yes—
915C22⋊Dic43C2412yes—
916C22⋊Dic43C2412yes—
917C22⋊Dic43C2412yes—
918C22⋊Dic43C2414yes—
919C22⋊Dic43C2414yes—
920C22⋊Dic43C2414yes—
921C22⋊Dic43C2414yes—
922C22⋊Dic43C2414yes—
923C22⋊Dic43C2414yes—
924C22⋊Dic43C2414yes—
925C22⋊Dic43C2414yes—
926(C2×D43)⋊C4C2412yes—
927(C2×D43)⋊C4C2412yes—
928(C2×D43)⋊C4C2412yes—
929(C2×D43)⋊C4C2414yes—
930(C2×D43)⋊C4C2414yes—
931(C2×D43)⋊C4C2412yes—
932(C2×D43)⋊C4C2412yes—
933(C2×D43)⋊C4C2414yes—
934(C2×D43)⋊C4C2414yes—
935(C2×D43)⋊C4C2412yes—
936(C2×D43)⋊C4C2412yes—
937(C2×D43)⋊C4C2414yes—
938(C2×D43)⋊C4C2414yes—
939(C2×D43)⋊C4C2412yes—
940(C2×D43)⋊C4C2414yes—
941(C2×D43)⋊C4C2414yes—
942(C2×D43)⋊C4C2412yes—
943(C2×D43)⋊C4C2412yes—
944(C2×D43)⋊C4C2414yes—
945(C2×D43)⋊C4C2414yes—
946(C2×D43)⋊C4C2414yes—
947(C2×D43)⋊C4C2414yes—
948(C2×D43)⋊C4C2414yes—
949(C2×D43)⋊C4C2414yes—
950C4⋊Dic43C2412yes—
951C4⋊Dic43C2412yes—
952C4⋊Dic43C2414yes—
953C4⋊Dic43C2412yes—
954C4⋊Dic43C2412yes—
955C4⋊Dic43C2412yes—
956C4⋊Dic43C2412yes—
957C4⋊Dic43C2411yescharacteristic
958C4⋊Dic43C2414yes—
959C4⋊Dic43C2412yes—
960C4⋊Dic43C2411yescharacteristic
961C4⋊Dic43C2414yes—
962C4⋊Dic43C2412yes—
963C4⋊Dic43C2412yes—
964C4⋊Dic43C2414yes—
965C4⋊Dic43C2412yes—
966C4⋊Dic43C2414yes—
967C4⋊Dic43C2414yes—
968Dic43⋊C4C2412yes—
969Dic43⋊C4C2414yes—
970Dic43⋊C4C2414yes—
971Dic43⋊C4C2412yes—
972Dic43⋊C4C2412yes—
973Dic43⋊C4C2414yes—
974Dic43⋊C4C2414yes—
975Dic43⋊C4C2412yes—
976Dic43⋊C4C2412yes—
977Dic43⋊C4C2412yes—
978Dic43⋊C4C2412yes—
979Dic43⋊C4C2412yes—
980Dic43⋊C4C2412yes—
981Dic43⋊C4C2414yes—
982Dic43⋊C4C2412yes—
983Dic43⋊C4C2414yes—
984Dic43⋊C4C2414yes—
985Dic43⋊C4C2414yes—
986Dic43⋊C4C2414yes—
987Dic43⋊C4C2414yes—
988Dic43⋊C4C2414yes—
989Dic43⋊C4C2414yes—
990Dic43⋊C4C2414yes—
991Dic43⋊C4C2414yes—
992C4×Dic43C2411yescharacteristic
993C4×Dic43C2411yescharacteristic
994C4×Dic43C2411yescharacteristic
995C4×Dic43C2411yescharacteristic
996C4×Dic43C2411yescharacteristic
997C4×Dic43C2411yescharacteristic
998C4×Dic43C2411yescharacteristic
999C4×Dic43C2411yescharacteristic
1000C4×Dic43C2411yescharacteristic
1001C4×Dic43C2411yescharacteristic
1002C4×Dic43C2411yescharacteristic
1003C4×Dic43C2411yescharacteristic
1004C4×Dic43C2412yes—
1005C4×Dic43C2412yes—
1006C4×Dic43C2412yes—
1007C4×Dic43C2414yes—
1008C4×Dic43C2414yes—
1009C4×Dic43C2414yes—
1010C4×Dic43C2414yes—
1011C4×Dic43C2414yes—
1012C23×C43—24no—
1013C23×C43—42no—
1014C23×C43—42no—
1015C23×C43—44no—
1016C23×C43—44no—
1017C23×C43—44no—
1018C23×C43C2512yes—
1019C23×C43C2514yes—
1020C23×C43C2514yes—
1021C23×C43C2511yescharacteristic
1022C22×D43—28no—
1023C22×D43—24no—
1024C22×D43—41no—
1025C22×D43—41no—
1026C22×D43—42no—
1027C22×D43—44no—
1028C22×D43—44no—
1029C22×D43—42no—
1030C22×D43—44no—
1031C22×D43—44no—
1032C22×D43—44no—
1033C22×D43H(5,𝔽2)14yes—
1034C22×D43C2512yes—
1035C22×D43C2514yes—
1036C22×D43C2511yescharacteristic
1037C22×D43C2511yescharacteristic
1038Q8×C43—24no—
1039Q8×C43—42no—
1040Q8×C43—41no—
1041Q8×C43—42no—
1042D4×C43—24no—
1043D4×C43—28no—
1044D4×C43—24no—
1045D4×C43—24no—
1046D4×C43—44no—
1047D4×C43—44no—
1048D4×C43—42no—
1049D4×C43—41no—
1050D4×C43—42no—
1051D4×C43—44no—
1052D4×C43—44no—
1053D4×C43—42no—
1054D4×C43—44no—
1055C2×C4×C43—22no—
1056C2×C4×C43—22no—
1057C2×C4×C43—24no—
1058C2×C4×C43—44no—
1059C2×C4×C43—41no—
1060C2×C4×C43—44no—
1061C2×C4×C43—42no—
1062C2×C4×C43—44no—
1063C2×C4×C43C2514yes—
1064C2×C4×C43C2511yescharacteristic
1065C2×C4×C43C2511yescharacteristic
1066C2×C4×C43C2511yescharacteristic
1067C2×C4×C43C2511yescharacteristic
1068C2×C4×C43C2511yescharacteristic
1069C2×C4×C43C2512yes—
1070C2×C4×C43C2514yes—
1071C2×C4×C43C2512yes—
1072C2×C4×C43C2512yes—
1073C2×C4×C43C2511yescharacteristic
1074C22⋊D43—28no—
1075C22⋊D43—24no—
1076C22⋊D43—28no—
1077C22⋊D43—28no—
1078C22⋊D43—28no—
1079C22⋊D43—24no—
1080C22⋊D43—28no—
1081C22⋊D43—24no—
1082C22⋊D43—44no—
1083C22⋊D43—44no—
1084C22⋊D43—44no—
1085C22⋊D43—44no—
1086C22⋊D43—44no—
1087C22⋊D43—44no—
1088C22⋊D43—44no—
1089C22⋊D43—44no—
1090C22⋊D43—44no—
1091C22⋊D43—44no—
1092C2×Dic43—22no—
1093C2×Dic43—24no—
1094C2×Dic43—22no—
1095C2×Dic43—28no—
1096C2×Dic43—44no—
1097C2×Dic43—42no—
1098C2×Dic43—41no—
1099C2×Dic43—44no—
1100C2×Dic43—44no—
1101C2×Dic43—44no—
1102C2×Dic43—44no—
1103C2×Dic43—44no—
1104C2×Dic43—42no—
1105C2×Dic43C2511yescharacteristic
1106C2×Dic43C2511yescharacteristic
1107C2×Dic43C2511yescharacteristic
1108C2×Dic43C2512yes—
1109C2×Dic43C2511yescharacteristic
1110C2×Dic43C2511yescharacteristic
1111C2×Dic43C2512yes—
1112C2×Dic43C2514yes—
1113C2×Dic43C2512yes—
1114C2×Dic43C2514yes—
1115C2×Dic43C2514yes—
1116C2×Dic43C2511yescharacteristic
1117D172—24no—
1118D172—28no—
1119D172—24no—
1120D172—42no—
1121D172—41no—
1122D172—42no—
1123D172—44no—
1124C4×D43—22no—
1125C4×D43—22no—
1126C4×D43—22no—
1127C4×D43—22no—
1128C4×D43—28no—
1129C4×D43—24no—
1130C4×D43—22no—
1131C4×D43—22no—
1132C4×D43—24no—
1133C4×D43—22no—
1134C4×D43—22no—
1135C4×D43—42no—
1136C4×D43—41no—
1137C4×D43—42no—
1138C4×D43—41no—
1139C4×D43—41no—
1140C4×D43—41no—
1141C4×D43—44no—
1142C4×D43—44no—
1143C4×D43—44no—
1144C4×D43—44no—
1145C4×D43—44no—
1146C4×D43—42no—
1147C4×D43—44no—
1148Dic86—24no—
1149Dic86—44no—
1150Dic86—44no—
1151Dic86—44no—
1152Dic86—42no—
1153Dic86—41no—
1154#62822—431nomaximal, Sylow
1155C22×C43—21no—
1156C22×C43—21no—
1157C22×C43—22no—
1158C22×C43—24no—
1159C22×C43—24no—
1160C22×C43—24no—
1161C22×C43—22no—
1162C22×C43—22no—
1163C22×C43—24no—
1164C22×C43—24no—
1165C22×C43—24no—
1166C22×C43—84no—
1167C22×C43—164no—
1168C22×C43C2×H(5,𝔽2)12yes—
1169C22×C43C2611yescharacteristic
1170C2×D43—21no—
1171C2×D43—21no—
1172C2×D43—21no—
1173C2×D43—21no—
1174C2×D43—22no—
1175C2×D43—24no—
1176C2×D43—22no—
1177C2×D43—22no—
1178C2×D43—24no—
1179C2×D43—24no—
1180C2×D43—44no—
1181C2×D43—88no—
1182C2×D43—84no—
1183C2×D43—164no—
1184C2×D43C2×H(5,𝔽2)12yes—
1185C2×D43C2×H(5,𝔽2)12yes—
1186C4×C43—21no—
1187C4×C43—22no—
1188C4×C43—24no—
1189C4×C43—21no—
1190C4×C43—22no—
1191C4×C43—21no—
1192C4×C43—21no—
1193C4×C43—22no—
1194C4×C43—21no—
1195C4×C43—24no—
1196C4×C43#58512yes—
1197Dic43—21no—
1198Dic43—24no—
1199Dic43—22no—
1200Dic43—24no—
1201Dic43—21no—
1202Dic43—22no—
1203Dic43—21no—
1204Dic43—22no—
1205Dic43—21no—
1206Dic43—21no—
1207Dic43—24no—
1208Dic43#58512yes—
1209#3560—434no—
1210#3560—432no—
1211#3560—432no—
1212#3559—432no—
1213#3559—431no—
1214#3559—431no—
1215#3558—432no—
1216#3558—431no—
1217#3558D4311yescharacteristic, complemented
1218#3545—432no—
1219#3545—432no—
1220#3544—432no—
1221#3543—432no—
1222#3522—432no—
1223#3522—432no—
1224#3519—432no—
1225#3519—432no—
1226#3513—432no—
1227#3513—432no—
1228#3513—434no—
1229#3505—432no—
1230#3505—432no—
1231#3496—432no—
1232#3496—432no—
1233#3494—434no—
1234#3494—432no—
1235#3494—432no—
1236#3485—434no—
1237C2×#532—431no—
1238C2×#529—431no—
1239C2×#529—431no—
1240C2×C43—22no—
1241C2×C43—44no—
1242C2×C43—42no—
1243C2×C43—44no—
1244C2×C43C22×H(5,𝔽2)11yescharacteristic
1245C2×C43C2×#58511yescharacteristic
1246C2×C43C2×#58511yescharacteristic
1247D43—22no—
1248D43—22no—
1249D43—44no—
1250D43—42no—
1251C2×H(5,𝔽2)—434no—
1252C22×#41—432no—
1253#563—434no—
1254#563—432no—
1255#563—432no—
1256#563—434no—
1257#562—432no—
1258#562—432no—
1259#562—432no—
1260#562C2×D4312yescomplemented
1261H(3,𝔽4)—432no—
1262H(3,𝔽4)C2×D4312yescomplemented
1263#560—434no—
1264#560—434no—
1265#559—432no—
1266#559—434no—
1267#559—432no—
1268#559C2×D4312yescomplemented
1269Q82—432no—
1270#555—434no—
1271#555—434no—
1272#555—432no—
1273#554—434no—
1274#554—432no—
1275#554—432no—
1276#554—432no—
1277#554—432no—
1278#553—434no—
1279#553—434no—
1280#553—434no—
1281#553—434no—
1282#553—434no—
1283#553—434no—
1284#553—434no—
1285#553—434no—
1286#553—434no—
1287#553—432no—
1288#553—432no—
1289#553—432no—
1290#553—434no—
1291#553—432no—
1292#552—434no—
1293#552—432no—
1294#552—432no—
1295#551—434no—
1296#551—434no—
1297#551—434no—
1298#551—434no—
1299#551—434no—
1300#551—434no—
1301#551—434no—
1302#551—434no—
1303#551—434no—
1304#551—434no—
1305#550—432no—
1306#550—432no—
1307#548—432no—
1308#548—434no—
1309#548C2×D4312yescomplemented
1310#547—434no—
1311#547—434no—
1312#547—434no—
1313#547—434no—
1314#547—434no—
1315#547—434no—
1316#547—434no—
1317#547—434no—
1318#547—432no—
1319#547—432no—
1320#547—434no—
1321#547—432no—
1322#547—434no—
1323#547—432no—
1324#546—432no—
1325#546—434no—
1326#546—434no—
1327#546—434no—
1328#546—432no—
1329#546—432no—
1330#546—434no—
1331#546—434no—
1332#546—434no—
1333#546—434no—
1334#546—434no—
1335#546—434no—
1336#546—434no—
1337#546—434no—
1338#546—434no—
1339#546—434no—
1340#546—434no—
1341#546—434no—
1342#546—434no—
1343#546—434no—
1344#546C2×D4314yescomplemented
1345#546C2×D4312yescomplemented
1346D42—432no—
1347D42—432no—
1348D42—432no—
1349D42—432no—
1350D42—434no—
1351D42—434no—
1352D42C2×D4312yescomplemented
1353#544—432no—
1354#544—434no—
1355#544—432no—
1356#542—432no—
1357#542—434no—
1358#542—432no—
1359#542—434no—
1360#542—434no—
1361#542—434no—
1362#542—434no—
1363#542—432no—
1364#542—434no—
1365#542C2×D4312yescomplemented
1366#540—432no—
1367#540—432no—
1368#540—434no—
1369#540—432no—
1370#540—434no—
1371#540—432no—
1372#539—434no—
1373#539—434no—
1374#539—434no—
1375#539—434no—
1376#539—432no—
1377#539—432no—
1378#539—434no—
1379#538—434no—
1380#538—434no—
1381#538—434no—
1382#538—434no—
1383#538—434no—
1384#538—434no—
1385#538—434no—
1386#538—434no—
1387#538—432no—
1388#538C2×D4312yescomplemented
1389#538C2×D4314yescomplemented
1390#537—432no—
1391#537—432no—
1392#537—434no—
1393#536—434no—
1394#536—434no—
1395#535—432no—
1396#535—434no—
1397#535C2×D4312yescomplemented
1398#534—434no—
1399#534—434no—
1400#534—434no—
1401#534—434no—
1402#534—434no—
1403#534—432no—
1404#534C2×D4312yescomplemented
1405#532—432no—
1406#532—431no—
1407#532—431no—
1408#532—432no—
1409#532—432no—
1410#532—432no—
1411#532—432no—
1412#532—434no—
1413#532—432no—
1414#532—432no—
1415#532—432no—
1416#532—431no—
1417#532C2×D4311yescharacteristic, complemented
1418C2×C4⋊Q8—431no—
1419C2×#127—431no—
1420#529—432no—
1421#529—431no—
1422#529—432no—
1423#529—432no—
1424#529—432no—
1425#529—432no—
1426#529—432no—
1427#529—431no—
1428#529—432no—
1429#529—432no—
1430#529—432no—
1431#529—432no—
1432#529—432no—
1433#529—431no—
1434#529—431no—
1435#529—431no—
1436#529—432no—
1437#529—432no—
1438#529—431no—
1439#529—434no—
1440#529—432no—
1441#529—431no—
1442#529C2×D4311yescharacteristic, complemented
1443C2×#126—432no—
1444C2×#126—432no—
1445C2×#125—431no—
1446C2×#125—431no—
1447C2×#124—431no—
1448C2×#124—432no—
1449C2×#124C2×D4311yescharacteristic, complemented
1450#525—432no—
1451#525—432no—
1452#525—434no—
1453#525—434no—
1454#525—434no—
1455C2×#123—432no—
1456C2×#123—434no—
1457C2×#123—432no—
1458C2×#123—434no—
1459C2×C22⋊Q8—431no—
1460C2×C22⋊Q8—431no—
1461C2×#121—431no—
1462C2×#121—432no—
1463C2×#121—434no—
1464C2×#121—431no—
1465C2×#121—432no—
1466C2×#121—432no—
1467C2×#121—432no—
1468#520—432no—
1469#520—432no—
1470#520—434no—
1471#518—432no—
1472#518—434no—
1473#518—432no—
1474#518—434no—
1475C2×C4×Q8—431no—
1476C2×C4×Q8—431no—
1477C2×C4×D4—431no—
1478C2×C4×D4—432no—
1479C2×C4×D4—431no—
1480C2×C4×D4—432no—
1481C2×C4×D4—432no—
1482C2×C4×D4—432no—
1483C2×#117—432no—
1484C2×#117—432no—
1485C22×C42—431no—
1486C43#6282211yescharacteristic, complemented, Sylow
1487H(5,𝔽2)—17216no—
1488C2×#41—432no—
1489C2×#41—432no—
1490C2×#41—434no—
1491C2×#41—434no—
1492C2×#41—434no—
1493C2×#41—432no—
1494C2×#41—434no—
1495C2×#41—434no—
1496C2×#41—434no—
1497C2×#41—434no—
1498C2×#41—434no—
1499C2×#41—432no—
1500C2×#41—434no—
1501C2×#41—1728no—
1502C2×#41C22×D4312yes—
1503C2×#41C22×D4312yes—
1504C22×Q8—431no—
1505C22×Q8—432no—
1506C22×Q8C22×D4311yescharacteristic
1507C22×D4—432no—
1508C22×D4—434no—
1509C22×D4—434no—
1510C22×D4—434no—
1511C22×D4—434no—
1512C22×D4—432no—
1513C22×D4—434no—
1514C22×D4—431no—
1515C22×D4—432no—
1516C22×D4—432no—
1517C22×D4—432no—
1518C22×D4—434no—
1519C22×D4—434no—
1520C22×D4—432no—
1521C22×D4C22×D4311yescharacteristic
1522C22×D4C22×D4312yes—
1523C22×D4C22×D4314yes—
1524C23×C4—432no—
1525C23×C4—431no—
1526C23×C4—432no—
1527C23×C4—431no—
1528C23×C4—431no—
1529C23×C4—434no—
1530C4⋊Q8—432no—
1531C4⋊Q8—434no—
1532C4⋊Q8—432no—
1533C4⋊Q8—432no—
1534C4⋊Q8—434no—
1535C4⋊Q8—432no—
1536C4⋊Q8—434no—
1537C4⋊Q8—434no—
1538C4⋊Q8—431no—
1539C4⋊Q8—432no—
1540C4⋊Q8—434no—
1541C4⋊Q8C22×D4311yescharacteristic
1542#127—432no—
1543#127—432no—
1544#127—432no—
1545#127—434no—
1546#127—432no—
1547#127—431no—
1548#127C22×D4311yescharacteristic
1549#127C22×D4312yes—
1550#126—432no—
1551#126—432no—
1552#126—432no—
1553#126—434no—
1554#126—434no—
1555#126—434no—
1556#126—434no—
1557#126—434no—
1558#126—432no—
1559#126—434no—
1560#126—434no—
1561#126—432no—
1562#126—434no—
1563#126—432no—
1564#126—434no—
1565#126—434no—
1566#126—434no—
1567#126—434no—
1568#126—434no—
1569#126—434no—
1570#126—432no—
1571#126—434no—
1572#126C22×D4312yes—
1573#126C22×D4314yes—
1574#125—431no—
1575#125—431no—
1576#125—432no—
1577#125—432no—
1578#125—434no—
1579#125—432no—
1580#125—434no—
1581#125—434no—
1582#125—434no—
1583#125—434no—
1584#125—432no—
1585#125—432no—
1586#125—432no—
1587#125—431no—
1588#125—432no—
1589#125—432no—
1590#125C22×D4311yescharacteristic
1591#124—431no—
1592#124—432no—
1593#124—432no—
1594#124—434no—
1595#124—431no—
1596#124—432no—
1597#124—434no—
1598#124—434no—
1599#124—432no—
1600#124—432no—
1601#124—434no—
1602#124—434no—
1603#124—434no—
1604#124—434no—
1605#124—434no—
1606#124—434no—
1607#124—434no—
1608#124—434no—
1609#124—434no—
1610#124—431no—
1611#124—432no—
1612#124C22×D4311yescharacteristic
1613#124C22×D4312yes—
1614#124C22×D4312yes—
1615#124C22×D4312yes—
1616#124C22×D4312yes—
1617#124C22×D4312yes—
1618#124C22×D4312yes—
1619#124C22×D4314yes—
1620#124C22×D4314yes—
1621#124C22×D4314yes—
1622#123—432no—
1623#123—434no—
1624#123—434no—
1625#123—434no—
1626#123—434no—
1627#123—434no—
1628#123—434no—
1629#123—434no—
1630#123—432no—
1631#123—434no—
1632#123—434no—
1633#123—432no—
1634#123—432no—
1635#123—434no—
1636#123—434no—
1637#123—434no—
1638#123—434no—
1639#123—434no—
1640#123—432no—
1641#123—434no—
1642#123—432no—
1643#123—434no—
1644#123—434no—
1645#123—434no—
1646#123—432no—
1647#123—434no—
1648#123—434no—
1649#123—434no—
1650#123—434no—
1651#123—434no—
1652#123—434no—
1653#123—434no—
1654#123—434no—
1655#123—434no—
1656#123—434no—
1657#123—434no—
1658#123—434no—
1659#123—434no—
1660#123—434no—
1661#123—434no—
1662#123—434no—
1663#123—434no—
1664#123—434no—
1665#123—434no—
1666#123—434no—
1667#123—434no—
1668#123—434no—
1669#123C22×D4312yes—
1670#123C22×D4314yes—
1671#123C22×D4314yes—
1672#123C22×D4314yes—
1673#123C22×D4314yes—
1674C22⋊Q8—432no—
1675C22⋊Q8—432no—
1676C22⋊Q8—432no—
1677C22⋊Q8—432no—
1678C22⋊Q8—431no—
1679C22⋊Q8—432no—
1680C22⋊Q8—434no—
1681C22⋊Q8—434no—
1682C22⋊Q8—434no—
1683C22⋊Q8—431no—
1684C22⋊Q8—434no—
1685C22⋊Q8—434no—
1686C22⋊Q8—434no—
1687C22⋊Q8—432no—
1688C22⋊Q8—431no—
1689C22⋊Q8—434no—
1690C22⋊Q8—434no—
1691C22⋊Q8—434no—
1692C22⋊Q8—434no—
1693C22⋊Q8—434no—
1694C22⋊Q8—434no—
1695C22⋊Q8—432no—
1696C22⋊Q8—434no—
1697C22⋊Q8—434no—
1698C22⋊Q8—434no—
1699C22⋊Q8—434no—
1700C22⋊Q8—434no—
1701C22⋊Q8—434no—
1702C22⋊Q8—434no—
1703C22⋊Q8—434no—
1704C22⋊Q8—434no—
1705C22⋊Q8—434no—
1706C22⋊Q8—434no—
1707C22⋊Q8C22×D4311yescharacteristic
1708C22⋊Q8C22×D4312yes—
1709C22⋊Q8C22×D4314yes—
1710C22⋊Q8C22×D4314yes—
1711#121—432no—
1712#121—432no—
1713#121—432no—
1714#121—434no—
1715#121—432no—
1716#121—432no—
1717#121—432no—
1718#121—431no—
1719#121—432no—
1720#121—434no—
1721#121—434no—
1722#121—434no—
1723#121—434no—
1724#121—434no—
1725#121—434no—
1726#121—434no—
1727#121—434no—
1728#121—432no—
1729#121—434no—
1730#121—432no—
1731#121—434no—
1732#121—434no—
1733#121—434no—
1734#121—432no—
1735#121—434no—
1736#121—434no—
1737#121—434no—
1738#121—434no—
1739#121—434no—
1740#121—434no—
1741#121—434no—
1742#121—434no—
1743#121—434no—
1744#121—434no—
1745#121—434no—
1746#121—434no—
1747#121—431no—
1748#121—432no—
1749#121—432no—
1750#121—432no—
1751#121—432no—
1752#121—434no—
1753#121—434no—
1754#121—432no—
1755#121—431no—
1756#121—432no—
1757#121—432no—
1758#121—434no—
1759#121—434no—
1760#121—434no—
1761#121—434no—
1762#121—434no—
1763#121—434no—
1764#121—434no—
1765#121—434no—
1766#121—434no—
1767#121—434no—
1768#121—434no—
1769#121C22×D4311yescharacteristic
1770#121C22×D4312yes—
1771#121C22×D4312yes—
1772#121C22×D4312yes—
1773#121C22×D4314yes—
1774#121C22×D4314yes—
1775#121C22×D4314yes—
1776#121C22×D4314yes—
1777#121C22×D4314yes—
1778#120—434no—
1779#120—434no—
1780#120—434no—
1781#120—434no—
1782#120—434no—
1783#120—434no—
1784#120—434no—
1785#120—434no—
1786#120—434no—
1787#120—434no—
1788#120—434no—
1789#120—434no—
1790#120—434no—
1791#120—434no—
1792#120—434no—
1793#120C22×D4314yes—
1794#120C22×D4314yes—
1795#120C22×D4314yes—
1796#120C22×D4314yes—
1797#120C22×D4314yes—
1798C4×Q8—432no—
1799C4×Q8—432no—
1800C4×Q8—431no—
1801C4×Q8—432no—
1802C4×Q8—432no—
1803C4×Q8—432no—
1804C4×Q8—432no—
1805C4×Q8—431no—
1806C4×Q8—432no—
1807C4×Q8—431no—
1808C4×Q8—434no—
1809C4×Q8C22×D4311yescharacteristic
1810C4×Q8C22×D4312yes—
1811C4×D4—432no—
1812C4×D4—432no—
1813C4×D4—432no—
1814C4×D4—431no—
1815C4×D4—432no—
1816C4×D4—432no—
1817C4×D4—432no—
1818C4×D4—432no—
1819C4×D4—434no—
1820C4×D4—434no—
1821C4×D4—434no—
1822C4×D4—432no—
1823C4×D4—432no—
1824C4×D4—434no—
1825C4×D4—432no—
1826C4×D4—434no—
1827C4×D4—434no—
1828C4×D4—434no—
1829C4×D4—432no—
1830C4×D4—432no—
1831C4×D4—432no—
1832C4×D4—434no—
1833C4×D4—434no—
1834C4×D4—434no—
1835C4×D4—434no—
1836C4×D4—434no—
1837C4×D4—434no—
1838C4×D4—434no—
1839C4×D4—434no—
1840C4×D4—432no—
1841C4×D4—431no—
1842C4×D4—432no—
1843C4×D4—432no—
1844C4×D4—434no—
1845C4×D4—434no—
1846C4×D4—432no—
1847C4×D4—434no—
1848C4×D4—434no—
1849C4×D4—432no—
1850C4×D4—434no—
1851C4×D4—434no—
1852C4×D4—432no—
1853C4×D4—434no—
1854C4×D4—434no—
1855C4×D4—434no—
1856C4×D4—434no—
1857C4×D4—434no—
1858C4×D4—434no—
1859C4×D4—434no—
1860C4×D4—434no—
1861C4×D4—434no—
1862C4×D4—434no—
1863C4×D4—432no—
1864C4×D4—431no—
1865C4×D4—432no—
1866C4×D4—432no—
1867C4×D4—434no—
1868C4×D4—432no—
1869C4×D4—434no—
1870C4×D4—432no—
1871C4×D4C22×D4312yes—
1872C4×D4C22×D4311yescharacteristic
1873C4×D4C22×D4312yes—
1874C4×D4C22×D4312yes—
1875C4×D4C22×D4314yes—
1876C4×D4C22×D4312yes—
1877C4×D4C22×D4314yes—
1878#117—432no—
1879#117—432no—
1880#117—434no—
1881#117—432no—
1882#117—432no—
1883#117—434no—
1884#117—432no—
1885#117—434no—
1886#117—434no—
1887#117—432no—
1888#117—434no—
1889#117—432no—
1890#117—434no—
1891#117—434no—
1892#117—434no—
1893#117—432no—
1894#117—432no—
1895#117—434no—
1896#117—434no—
1897#117—434no—
1898#117C22×D4312yes—
1899C2×C4⋊C4—432no—
1900C2×C4⋊C4—432no—
1901C2×C4⋊C4—431no—
1902C2×C4⋊C4—432no—
1903C2×C4⋊C4—431no—
1904C2×C4⋊C4—432no—
1905C2×C4⋊C4—434no—
1906C2×C4⋊C4—432no—
1907C2×C4⋊C4—434no—
1908C2×C4⋊C4—434no—
1909C2×C4⋊C4—432no—
1910C2×C4⋊C4—432no—
1911C2×C4⋊C4—432no—
1912C2×C4⋊C4—432no—
1913C2×C4⋊C4—431no—
1914C2×C4⋊C4—432no—
1915C2×C4⋊C4—431no—
1916C2×C4⋊C4—432no—
1917C2×C4⋊C4—432no—
1918C2×C4⋊C4—434no—
1919C2×C4⋊C4—434no—
1920C2×C22⋊C4—432no—
1921C2×C22⋊C4—432no—
1922C2×C22⋊C4—434no—
1923C2×C22⋊C4—434no—
1924C2×C22⋊C4—434no—
1925C2×C22⋊C4—432no—
1926C2×C22⋊C4—434no—
1927C2×C22⋊C4—434no—
1928C2×C22⋊C4—432no—
1929C2×C22⋊C4—432no—
1930C2×C22⋊C4—432no—
1931C2×C22⋊C4—434no—
1932C2×C22⋊C4—434no—
1933C2×C22⋊C4—432no—
1934C2×C22⋊C4—432no—
1935C2×C22⋊C4—434no—
1936C2×C22⋊C4—434no—
1937C2×C22⋊C4—434no—
1938C2×C22⋊C4—434no—
1939C2×C22⋊C4C22×D4312yes—
1940C2×C22⋊C4C22×D4312yes—
1941C2×C22⋊C4C22×D4314yes—
1942C2×C42—431no—
1943C2×C42—432no—
1944C2×C42—431no—
1945C2×C42—431no—
1946C2×C42—431no—
1947C2×C42—432no—
1948C2×C42—431no—
1949C2×C42—431no—
1950C2×C42—431no—
1951C2×C42—431no—
1952C2×C42—431no—
1953C2×C42—431no—
1954C2×C42—431no—
1955C2×C42C22×D4311yescharacteristic
1956C24—431no—
1957C24—434no—
1958C24—432no—
1959C24—434no—
1960C24C23×D4312yes—
1961C24C23×D4314yes—
1962#41—44no—
1963#41—44no—
1964#41—1724no—
1965#41—1728no—
1966#41—1728no—
1967#41—1728no—
1968#41—1728no—
1969#41—1728no—
1970#41—1728no—
1971#41—1724no—
1972#41—1728no—
1973#41—1728no—
1974#41—1728no—
1975#41—1724no—
1976#41—1724no—
1977C2×Q8—42no—
1978C2×Q8—432no—
1979C2×Q8—431no—
1980C2×Q8—434no—
1981C2×Q8—434no—
1982C2×Q8—434no—
1983C2×Q8—432no—
1984C2×Q8—1724no—
1985C2×Q8—1722no—
1986C2×Q8C23×D4312yes—
1987C2×Q8C23×D4312yes—
1988C2×Q8C23×D4311yescharacteristic
1989C2×Q8C23×D4312yes—
1990C2×D4—42no—
1991C2×D4—44no—
1992C2×D4—48no—
1993C2×D4—432no—
1994C2×D4—434no—
1995C2×D4—432no—
1996C2×D4—434no—
1997C2×D4—434no—
1998C2×D4—434no—
1999C2×D4—434no—
2000C2×D4—432no—
2001C2×D4—434no—
2002C2×D4—434no—
2003C2×D4—434no—
2004C2×D4—434no—
2005C2×D4—434no—
2006C2×D4—434no—
2007C2×D4—434no—
2008C2×D4—434no—
2009C2×D4—434no—
2010C2×D4—434no—
2011C2×D4—432no—
2012C2×D4—432no—
2013C2×D4—434no—
2014C2×D4—434no—
2015C2×D4—431no—
2016C2×D4—432no—
2017C2×D4—432no—
2018C2×D4—8616no—
2019C2×D4—868no—
2020C2×D4—868no—
2021C2×D4—1724no—
2022C2×D4—1724no—
2023C2×D4—1724no—
2024C2×D4—1722no—
2025C2×D4—1724no—
2026C2×D4—1728no—
2027C2×D4—1728no—
2028C2×D4—1728no—
2029C2×D4—1728no—
2030C2×D4—1728no—
2031C2×D4—1728no—
2032C2×D4C23×D4312yes—
2033C2×D4C23×D4312yes—
2034C2×D4C23×D4314yes—
2035C2×D4C23×D4312yes—
2036C2×D4C23×D4314yes—
2037C2×D4C23×D4312yes—
2038C2×D4C23×D4314yes—
2039C2×D4C23×D4314yes—
2040C2×D4C23×D4311yescharacteristic
2041C2×D4C23×D4312yes—
2042C2×D4C23×D4314yes—
2043C2×D4C23×D4312yes—
2044C2×D4C23×D4314yes—
2045C22×C4—431no—
2046C22×C4—431no—
2047C22×C4—432no—
2048C22×C4—434no—
2049C22×C4—431no—
2050C22×C4—432no—
2051C22×C4—434no—
2052C22×C4—432no—
2053C22×C4—434no—
2054C22×C4—434no—
2055C22×C4—434no—
2056C22×C4—434no—
2057C22×C4—434no—
2058C22×C4—431no—
2059C22×C4—431no—
2060C22×C4—431no—
2061C22×C4—431no—
2062C22×C4—431no—
2063C22×C4—431no—
2064C22×C4—431no—
2065C22×C4—431no—
2066C22×C4—432no—
2067C22×C4—434no—
2068C22×C4—432no—
2069C22×C4—431no—
2070C22×C4—431no—
2071C22×C4—431no—
2072C22×C4—431no—
2073C22×C4—432no—
2074C22×C4—432no—
2075C22×C4—434no—
2076C22×C4—434no—
2077C22×C4—432no—
2078C22×C4—434no—
2079C22×C4—434no—
2080C22×C4—434no—
2081C22×C4—434no—
2082C22×C4—864no—
2083C22×C4—1722no—
2084C22×C4—1724no—
2085C22×C4—1722no—
2086C22×C4—1728no—
2087C22×C4—1724no—
2088C22×C4C23×D4311yescharacteristic
2089C22×C4C23×D4311yescharacteristic
2090C22×C4C23×D4312yes—
2091C22×C4C23×D4311yescharacteristic
2092C22×C4C23×D4312yes—
2093C22×C4C23×D4314yes—
2094C22×C4C23×D4314yes—
2095C22×C4C23×D4314yes—
2096C4⋊C4—432no—
2097C4⋊C4—434no—
2098C4⋊C4—432no—
2099C4⋊C4—432no—
2100C4⋊C4—432no—
2101C4⋊C4—432no—
2102C4⋊C4—434no—
2103C4⋊C4—434no—
2104C4⋊C4—432no—
2105C4⋊C4—434no—
2106C4⋊C4—434no—
2107C4⋊C4—434no—
2108C4⋊C4—434no—
2109C4⋊C4—434no—
2110C4⋊C4—432no—
2111C4⋊C4—432no—
2112C4⋊C4—432no—
2113C4⋊C4—432no—
2114C4⋊C4—434no—
2115C4⋊C4—432no—
2116C4⋊C4—432no—
2117C4⋊C4—434no—
2118C4⋊C4—432no—
2119C4⋊C4—434no—
2120C4⋊C4—432no—
2121C4⋊C4—434no—
2122C4⋊C4—432no—
2123C4⋊C4—434no—
2124C4⋊C4—432no—
2125C4⋊C4—432no—
2126C4⋊C4—431no—
2127C4⋊C4—434no—
2128C4⋊C4—434no—
2129C4⋊C4—434no—
2130C4⋊C4—432no—
2131C4⋊C4—431no—
2132C4⋊C4—432no—
2133C4⋊C4—434no—
2134C4⋊C4—432no—
2135C4⋊C4—434no—
2136C4⋊C4—434no—
2137C4⋊C4—434no—
2138C4⋊C4C23×D4312yes—
2139C4⋊C4C23×D4312yes—
2140C4⋊C4C23×D4312yes—
2141C4⋊C4C23×D4312yes—
2142C4⋊C4C23×D4312yes—
2143C4⋊C4C23×D4312yes—
2144C4⋊C4C23×D4311yescharacteristic
2145C4⋊C4C23×D4314yes—
2146C4⋊C4C23×D4311yescharacteristic
2147C4⋊C4C23×D4314yes—
2148C22⋊C4—434no—
2149C22⋊C4—432no—
2150C22⋊C4—432no—
2151C22⋊C4—434no—
2152C22⋊C4—434no—
2153C22⋊C4—434no—
2154C22⋊C4—434no—
2155C22⋊C4—434no—
2156C22⋊C4—434no—
2157C22⋊C4—432no—
2158C22⋊C4—434no—
2159C22⋊C4—432no—
2160C22⋊C4—432no—
2161C22⋊C4—434no—
2162C22⋊C4—434no—
2163C22⋊C4—434no—
2164C22⋊C4—434no—
2165C22⋊C4—434no—
2166C22⋊C4—432no—
2167C22⋊C4—434no—
2168C22⋊C4—432no—
2169C22⋊C4—432no—
2170C22⋊C4—432no—
2171C22⋊C4—432no—
2172C22⋊C4—434no—
2173C22⋊C4—434no—
2174C22⋊C4—434no—
2175C22⋊C4—432no—
2176C22⋊C4—432no—
2177C22⋊C4—434no—
2178C22⋊C4—432no—
2179C22⋊C4—432no—
2180C22⋊C4—434no—
2181C22⋊C4—432no—
2182C22⋊C4—434no—
2183C22⋊C4—434no—
2184C22⋊C4—434no—
2185C22⋊C4—434no—
2186C22⋊C4—434no—
2187C22⋊C4—434no—
2188C22⋊C4—434no—
2189C22⋊C4—434no—
2190C22⋊C4C23×D4314yes—
2191C22⋊C4C23×D4312yes—
2192C22⋊C4C23×D4314yes—
2193C22⋊C4C23×D4312yes—
2194C22⋊C4C23×D4312yes—
2195C22⋊C4C23×D4312yes—
2196C22⋊C4C23×D4314yes—
2197C22⋊C4C23×D4312yes—
2198C22⋊C4C23×D4314yes—
2199C22⋊C4C23×D4314yes—
2200C22⋊C4C23×D4314yes—
2201C22⋊C4C23×D4314yes—
2202C22⋊C4C23×D4314yes—
2203C22⋊C4C23×D4314yes—
2204C22⋊C4C23×D4314yes—
2205C22⋊C4C23×D4314yes—
2206C42—431no—
2207C42—431no—
2208C42—431no—
2209C42—431no—
2210C42—431no—
2211C42—431no—
2212C42—431no—
2213C42—431no—
2214C42—431no—
2215C42—431no—
2216C42—431no—
2217C42—431no—
2218C42—432no—
2219C42—434no—
2220C42—432no—
2221C42—434no—
2222C42—432no—
2223C42—434no—
2224C42—434no—
2225C42—434no—
2226C42C23×D4311yescharacteristic
2227C42C23×D4311yescharacteristic
2228C42C23×D4311yescharacteristic
2229C42C23×D4311yescharacteristic
2230C42C23×D4312yes—
2231C42C23×D4314yes—
2232C23—24no—
2233C23—42no—
2234C23—42no—
2235C23—44no—
2236C23—44no—
2237C23—44no—
2238C23—431no—
2239C23—431no—
2240C23—434no—
2241C23—432no—
2242C23—434no—
2243C23—868no—
2244C23—864no—
2245C23—1722no—
2246C23—1724no—
2247C23—1722no—
2248C23—1724no—
2249C23—1721no—
2250C23—1721no—
2251C23—1724no—
2252C23—1724no—
2253C23—1724no—
2254C23C24×D4314yes—
2255C23C24×D4312yes—
2256C23C24×D4314yes—
2257C23C24×D4311yescharacteristic
2258Q8—24no—
2259Q8—42no—
2260Q8—42no—
2261Q8—41no—
2262Q8—864no—
2263Q8—1722no—
2264Q8—1724no—
2265Q8—1721no—
2266Q8—1724no—
2267Q8—1724no—
2268D4—24no—
2269D4—28no—
2270D4—24no—
2271D4—24no—
2272D4—44no—
2273D4—44no—
2274D4—44no—
2275D4—42no—
2276D4—42no—
2277D4—42no—
2278D4—41no—
2279D4—44no—
2280D4—44no—
2281D4—864no—
2282D4—868no—
2283D4—864no—
2284D4—868no—
2285D4—868no—
2286D4—868no—
2287D4—864no—
2288D4—868no—
2289D4—864no—
2290D4—868no—
2291D4—864no—
2292D4—1722no—
2293D4—1722no—
2294D4—1721no—
2295D4—1724no—
2296D4—1724no—
2297D4—1724no—
2298D4—1724no—
2299D4—1724no—
2300D4—1724no—
2301D4—1724no—
2302D4—1724no—
2303D4—1724no—
2304D4—1724no—
2305D4—1724no—
2306C2×C4—22no—
2307C2×C4—22no—
2308C2×C4—24no—
2309C2×C4—44no—
2310C2×C4—41no—
2311C2×C4—44no—
2312C2×C4—42no—
2313C2×C4—44no—
2314C2×C4—431no—
2315C2×C4—431no—
2316C2×C4—431no—
2317C2×C4—432no—
2318C2×C4—431no—
2319C2×C4—431no—
2320C2×C4—431no—
2321C2×C4—434no—
2322C2×C4—432no—
2323C2×C4—434no—
2324C2×C4—434no—
2325C2×C4—432no—
2326C2×C4—862no—
2327C2×C4—862no—
2328C2×C4—862no—
2329C2×C4—862no—
2330C2×C4—862no—
2331C2×C4—862no—
2332C2×C4—868no—
2333C2×C4—864no—
2334C2×C4—862no—
2335C2×C4—868no—
2336C2×C4—862no—
2337C2×C4—864no—
2338C2×C4—862no—
2339C2×C4—862no—
2340C2×C4—864no—
2341C2×C4—1724no—
2342C2×C4—1724no—
2343C2×C4—1721no—
2344C2×C4—1721no—
2345C2×C4—1722no—
2346C2×C4—1722no—
2347C2×C4—1721no—
2348C2×C4—1721no—
2349C2×C4—1724no—
2350C2×C4—1724no—
2351C2×C4—1722no—
2352C2×C4—1724no—
2353C2×C4—1724no—
2354C2×C4—1724no—
2355C2×C4—1724no—
2356C2×C4—1722no—
2357C2×C4—1722no—
2358C2×C4—1721no—
2359C2×C4—1724no—
2360C2×C4—1724no—
2361C2×C4—1724no—
2362C2×C4—1724no—
2363C2×C4C24×D4314yes—
2364C2×C4C24×D4311yescharacteristic
2365C2×C4C24×D4311yescharacteristic
2366C2×C4C24×D4311yescharacteristic
2367C2×C4C24×D4311yescharacteristic
2368C2×C4C24×D4311yescharacteristic
2369C2×C4C24×D4312yes—
2370C2×C4C24×D4312yes—
2371C2×C4C24×D4314yes—
2372C2×C4C24×D4312yes—
2373C2×C4C24×D4311yescharacteristic
2374C22—21no—
2375C22—21no—
2376C22—24no—
2377C22—24no—
2378C22—22no—
2379C22—24no—
2380C22—24no—
2381C22—22no—
2382C22—22no—
2383C22—24no—
2384C22—24no—
2385C22—84no—
2386C22—164no—
2387C22—432no—
2388C22—432no—
2389C22—861no—
2390C22—861no—
2391C22—861no—
2392C22—861no—
2393C22—864no—
2394C22—862no—
2395C22—864no—
2396C22—862no—
2397C22—862no—
2398C22—864no—
2399C22—3444no—
2400C22—3448no—
2401C22—1724no—
2402C22—6884no—
2403C22H(5,𝔽2)×D4312yes—
2404C22C25×D4311yescharacteristic
2405C4—21no—
2406C4—21no—
2407C4—22no—
2408C4—24no—
2409C4—21no—
2410C4—21no—
2411C4—22no—
2412C4—22no—
2413C4—21no—
2414C4—24no—
2415C4—432no—
2416C4—861no—
2417C4—861no—
2418C4—862no—
2419C4—864no—
2420C4—864no—
2421C4—861no—
2422C4—864no—
2423C4—862no—
2424C4—861no—
2425C4—862no—
2426C4—861no—
2427C4#1458373412yes—
2428C2—22no—
2429C2—44no—
2430C2—42no—
2431C2—44no—
2432C2—862no—
2433C2—862no—
2434C2—1722no—
2435C2—1724no—
2436C2C2×H(5,𝔽2)×D4311yescharacteristic
2437C2#585×D4311yescharacteristic
2438C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3558C2
hypercenter#3558D43
hypocenterC43#62822
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3558

Complements

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

NH ≅ G/Ntype
1. #19149149C2semidirect
2. #19149137C2semidirect
3. #19149136C2semidirect
4. #19149133C2semidirect
5. #19149126C2semidirect
6. #19149123C2semidirect
7. #19149114C2semidirect
8. #19149108C2semidirect
9. #19148950C2semidirect
10. #19148945C2semidirect
11. #19148932C2semidirect
12. #19148921C2semidirect
13. #19148677C2semidirect
14. #19148671C2semidirect
15. #19148624C2semidirect
16. #19148614C2semidirect
17. #19148534C2semidirect
18. #19148531C2semidirect
19. #19148524C2semidirect
20. #19148433C2semidirect
21. #19148431C2semidirect
22. #19148356C2semidirect
23. #19148351C2semidirect
24. #19148328C2semidirect
25. #19148327C2semidirect
26. #19148317C2semidirect
27. #19148232C2semidirect
28. #532×D43C2semidirect
29. C2×#14583428C2semidirect
30. #529×D43C2semidirect
31. C43×#3558C2semidirect
32. C2×#13063370C22semidirect
33. C2×#41×D43C22semidirect
34. #14583653C22semidirect
35. #14583652C22semidirect
36. #14583651C22semidirect
37. #14583649C22semidirect
38. #14583643C22semidirect
39. #14583643C22semidirect
40. #14583643C22semidirect
41. #14583641C22semidirect
42. #14583638C22semidirect
43. #14583637C22semidirect
44. #14583631C22semidirect
45. #14583631C22semidirect
46. #14583631C22semidirect
47. Q8×Dic86C22semidirect
48. #14583613C22semidirect
49. #14583613C22semidirect
50. #14583611C22semidirect
51. #14583609C22semidirect
52. #14583608C22semidirect
53. #14583608C22semidirect
54. #14583607C22semidirect
55. #14583607C22semidirect
56. #14583601C22semidirect
57. #14583601C22semidirect
58. #14583600C22semidirect
59. #14583599C22semidirect
60. #14583598C22semidirect
61. #14583596C22semidirect
62. #14583595C22semidirect
63. #14583595C22semidirect
64. #14583594C22semidirect
65. #14583594C22semidirect
66. #14583594C22semidirect
67. #14583592C22semidirect
68. #14583592C22semidirect
69. #14583592C22semidirect
70. #14583590C22semidirect
71. #14583585C22semidirect
72. #14583583C22semidirect
73. #14583580C22semidirect
74. #14583580C22semidirect
75. #14583579C22semidirect
76. #14583579C22semidirect
77. #14583578C22semidirect
78. #14583576C22semidirect
79. #14583576C22semidirect
80. #14583575C22semidirect
81. #14583574C22semidirect
82. #14583572C22semidirect
83. #14583569C22semidirect
84. #14583568C22semidirect
85. #14583560C22semidirect
86. #14583557C22semidirect
87. #14583554C22semidirect
88. #14583554C22semidirect
89. #14583553C22semidirect
90. #14583553C22semidirect
91. #14583551C22semidirect
92. #14583549C22semidirect
93. #14583549C22semidirect
94. #14583549C22semidirect
95. #14583549C22semidirect
96. #14583548C22semidirect
97. #14583547C22semidirect
98. #14583547C22semidirect
99. #14583547C22semidirect
100. #14583547C22semidirect
101. #14583546C22semidirect
102. #14583546C22semidirect
103. #14583543C22semidirect
104. #14583543C22semidirect
105. #14583542C22semidirect
106. #14583542C22semidirect
107. #14583542C22semidirect
108. #14583541C22semidirect
109. #14583541C22semidirect
110. #14583539C22semidirect
111. #14583539C22semidirect
112. #14583538C22semidirect
113. #14583537C22semidirect
114. #14583536C22semidirect
115. #14583536C22semidirect
116. #14583536C22semidirect
117. #14583536C22semidirect
118. #14583536C22semidirect
119. #14583536C22semidirect
120. #14583536C22semidirect
121. #14583534C22semidirect
122. D4×C22⋊D43C22semidirect
123. D4×C22⋊D43C22semidirect
124. D4×C22⋊D43C22semidirect
125. #14583531C22semidirect
126. #14583531C22semidirect
127. #14583528C22semidirect
128. #14583527C22semidirect
129. #14583526C22semidirect
130. #14583522C22semidirect
131. #14583522C22semidirect
132. #14583518C22semidirect
133. #14583518C22semidirect
134. #14583518C22semidirect
135. #14583518C22semidirect
136. #14583517C22semidirect
137. #14583517C22semidirect
138. #14583513C22semidirect
139. #14583504C22semidirect
140. #14583503C22semidirect
141. #14583503C22semidirect
142. #14583502C22semidirect
143. #14583499C22semidirect
144. #14583499C22semidirect
145. #14583498C22semidirect
146. #14583495C22semidirect
147. #14583494C22semidirect
148. #14583493C22semidirect
149. #14583492C22semidirect
150. #14583491C22semidirect
151. #14583490C22semidirect
152. #14583487C22semidirect
153. #14583486C22semidirect
154. #14583485C22semidirect
155. #14583484C22semidirect
156. #14583484C22semidirect
157. #14583484C22semidirect
158. #14583483C22semidirect
159. #14583483C22semidirect
160. #14583483C22semidirect
161. #14583478C22semidirect
162. #14583476C22semidirect
163. #14583476C22semidirect
164. #14583472C22semidirect
165. #14583469C22semidirect
166. #14583467C22semidirect
167. #14583464C22semidirect
168. #14583461C22semidirect
169. #14583459C22semidirect
170. #14583459C22semidirect
171. #14583459C22semidirect
172. #14583457C22semidirect
173. #14583457C22semidirect
174. #14583450C22semidirect
175. #14583449C22semidirect
176. #14583448C22semidirect
177. #14583447C22semidirect
178. #14583447C22semidirect
179. #14583446C22semidirect
180. #14583446C22semidirect
181. #14583446C22semidirect
182. #14583445C22semidirect
183. #14583444C22semidirect
184. #14583444C22semidirect
185. #14583444C22semidirect
186. C4⋊Q8×D43C22semidirect
187. #127×D43C22semidirect
188. #14583436C22semidirect
189. #14583436C22semidirect
190. #14583435C22semidirect
191. #14583434C22semidirect
192. #14583433C22semidirect
193. #14583432C22semidirect
194. #14583431C22semidirect
195. #14583430C22semidirect
196. #14583429C22semidirect
197. #14583429C22semidirect
198. #14583428C22semidirect
199. #14583428C22semidirect
200. #14583428C22semidirect
201. #14583428C22semidirect
202. #14583428C22semidirect
203. #14583428C22semidirect
204. #14583428C22semidirect
205. #14583428C22semidirect
206. #14583428C22semidirect
207. #14583428C22semidirect
208. #14583427C22semidirect
209. #14583426C22semidirect
210. C2×#13063318C22semidirect
211. #126×D43C22semidirect
212. C2×#13063317C22semidirect
213. #125×D43C22semidirect
214. #124×D43C22semidirect
215. #124×D43C22semidirect
216. #14583412C22semidirect
217. #14583409C22semidirect
218. #14583408C22semidirect
219. #14583406C22semidirect
220. #14583405C22semidirect
221. C2×#13063307C22semidirect
222. C2×#13063307C22semidirect
223. #123×D43C22semidirect
224. #123×D43C22semidirect
225. C2×#13063301C22semidirect
226. C22⋊Q8×D43C22semidirect
227. C2×#13063297C22semidirect
229. C2×#13063296C22semidirect
231. #121×D43C22semidirect
232. #121×D43C22semidirect
233. #121×D43C22semidirect
234. #14583382C22semidirect
235. #14583381C22semidirect
236. #14583378C22semidirect
237. #14583374C22semidirect
238. #14583372C22semidirect
239. #14583371C22semidirect
240. #14583371C22semidirect
241. C2×Q8×Dic43C22semidirect
242. C4×Q8×D43C22semidirect
243. C2×D4×Dic43C22semidirect
244. C2×(C22⋊D43)⋊C4C22semidirect
245. C4×D4×D43C22semidirect
246. C4×D4×D43C22semidirect
247. C4×D4×D43C22semidirect
248. C4×D4×D43C22semidirect
249. C2×#13063281C22semidirect
250. #117×D43C22semidirect
251. C2×C42×D43C22semidirect
252. C43×#562C22semidirect
253. C43×H(3,𝔽4)C22semidirect
254. C43×#559C22semidirect
255. C43×#548C22semidirect
256. C43×#546C22semidirect
257. C43×#546C22semidirect
258. D42×C43C22semidirect
259. C43×#542C22semidirect
260. C43×#538C22semidirect
261. C43×#538C22semidirect
262. C43×#535C22semidirect
263. C43×#534C22semidirect
264. C43×#532C22semidirect
265. C43×#529C22semidirect
266. C2×#124×C43C22semidirect
1217. #3558D43semidirect
1260. #562C2×D43semidirect
1262. H(3,𝔽4)C2×D43semidirect
1268. #559C2×D43semidirect
1309. #548C2×D43semidirect
1344. #546C2×D43semidirect
1345. #546C2×D43semidirect
1352. D42C2×D43semidirect
1365. #542C2×D43semidirect
1388. #538C2×D43semidirect
1389. #538C2×D43semidirect
1397. #535C2×D43semidirect
1404. #534C2×D43semidirect
1417. #532C2×D43semidirect
1442. #529C2×D43semidirect
1449. C2×#124C2×D43semidirect
1486. C43#62822semidirect

Maximal subgroups

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

subgroupindex
#191491492
#191491372
#191491362
#191491332
#191491262
#191491232
#191491142
#191491082
#191489502
#191489452
#191489322
#191489212
#191486772
#191486712
#191486242
#191486142
#191485342
#191485312
#191485242
#191484332
#191484312
#191483562
#191483512
#191483282
#191483272
#191483172
#191482322
#532×D432
C2×#145834282
#529×D432
C43×#35582
#6282243