Finite Group Databasebeta

← Group #11790839

Character table — Group #11790839

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222222222336666666666366666666666666666444444666612121212121212121212121212121212444444121212121212121224446612121212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1
χ9111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i1-1ii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−iii−i−i1-1
χ10111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-111-1-1i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i1-1−i−iii1111-1-1-1-1-11i−i-1-111ii−i−i−i−iii−i−iii-11
χ11111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii1-1ii−i−i1111-1-1-1-1-11−ii-1-111−i−iiiii−i−iii−i−i-11
χ12111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-111-1-1−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii1-1−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii−i−iii1-1
χ13111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-11ii−i−i-1-1-1-111111-1−ii11-1-1−i−iiiii−i−i−i−iii-11
χ14111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-1-1-111i−i11-1-1ii−i−iiiiiii−i−i−i−i−i−i-11−i−iii-1-1-1-11111-11−ii-1-111−i−iii−i−iiiii−i−i1-1
χ15111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-11ii−i−i-1-1-1-11111-11i−i-1-111ii−i−iii−i−i−i−iii1-1
χ16111111-1-1-1-11111-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-1-1-111−ii11-1-1−i−iii−i−i−i−i−i−iiiiiii-11−i−iii-1-1-1-111111-1i−i11-1-1ii−i−i−i−iiiii−i−i-11
χ1722222222222-12222-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222000000002200-1-1-1-10000-1-1-1-1000000
χ1822222222222-12222-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000-2-200111100001111000000
χ1922222222222-12222-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-211111111111100222200000000-2-20011110000-1-1-1-1000000
χ2022222222222-12222-1-1-1222-12222-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-211111111111100-2-2-2-2000000002200-1-1-1-100001111000000
χ212222222222-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-12222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000-1-1-1-1-1-1-1-100220000-1-1-1-10000000000
χ222222222222-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-122222-2-2-1-1-1-11111-2-21111-2-21111220000-1-1-1-1-1-1-1-100-2-2000011110000000000
χ232222222222-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-2-222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200001111111100-2-2000011110000000000
χ242222222222-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-2-2-2-2-1-1-1-11111-2-21111-2-21111-2-200001111111100220000-1-1-1-10000000000
χ25222222-2-2-2-22-122-2-2-1-1-1-2-22-122-2-2-1-111-1-1-111111100002i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii002i2i−2i−2i000000002-200-1-1110000−i−iii000000
χ26222222-2-2-2-22-122-2-2-1-1-1-2-22-122-2-2-1-111-1-1-111111100002i−2i-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii00−2i−2i2i2i00000000-220011-1-10000ii−i−i000000
χ27222222-2-2-2-22-122-2-2-1-1-1-2-22-122-2-2-1-111-1-1-11111110000−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i002i2i−2i−2i00000000-220011-1-10000−i−iii000000
χ28222222-2-2-2-22-122-2-2-1-1-1-2-22-122-2-2-1-111-1-1-11111110000−2i2i-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i00−2i−2i2i2i000000002-200-1-1110000ii−i−i000000
χ29222222-2-2-2-2-12-1-11122211-1-1-1-11122-2-2-1-1-111-211-222-2-22i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii2-20000-1-1-1-11111002i−2i0000−i−iii0000000000
χ30222222-2-2-2-2-12-1-11122211-1-1-1-11122-2-2-1-1-111-211-222-2-2−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i2-20000-1-1-1-1111100−2i2i0000ii−i−i0000000000
χ31222222-2-2-2-2-12-1-11122211-1-1-1-11122-2-2-1-1-111-211-2-2-2222i−2i-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii-2200001111-1-1-1-100−2i2i0000ii−i−i0000000000
χ32222222-2-2-2-2-12-1-11122211-1-1-1-11122-2-2-1-1-111-211-2-2-222−2i2i-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i-2200001111-1-1-1-1002i−2i0000−i−iii0000000000
χ332222-2-22-22-22222222222222-2-2-2-2-2-22-222222222-222-2-200-2-2-2-20000000000000000-22000022-2-222-2-20000000000000000000000
χ342222-2-22-22-22222222222222-2-2-2-2-2-22-222222222-2-2-22200-2-2-2-200000000000000002-20000-2-222-2-2220000000000000000000000
χ352222-2-22-22-2-12-1-1-1-1222-1-1-1-11111-2-22-2-1-1-1-1-12-1-1-222-2-2001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-220000-1-111-1-11100000000−i3i3−i3i30000000000
χ362222-2-22-22-2-12-1-1-1-1222-1-1-1-11111-2-22-2-1-1-1-1-12-1-1-222-2-2001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-220000-1-111-1-11100000000i3−i3i3−i30000000000
χ372222-2-22-22-2-12-1-1-1-1222-1-1-1-11111-2-22-2-1-1-1-1-12-1-1-2-2-222001111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i32-2000011-1-111-1-100000000i3−i3i3−i30000000000
χ382222-2-22-22-2-12-1-1-1-1222-1-1-1-11111-2-22-2-1-1-1-1-12-1-1-2-2-222001111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i32-2000011-1-111-1-100000000−i3i3−i3i30000000000
χ392222-2-2-22-222222-2-2222-2-222-2-222-2-2-22222-2-2-2-2-22222200-2-2220000000000000000-2-2000022-2-2-2-2220000000000000000000000
χ402222-2-2-22-222222-2-2222-2-222-2-222-2-2-22222-2-2-2-2-22-2-2-2-200-2-2220000000000000000220000-2-22222-2-20000000000000000000000
χ412222-2-2-22-22-12-1-11122211-1-111-1-1-2-2-22-1-1-111-211222220011-1-13−3−330033−3−300−3−333-2-20000-1-11111-1-1000000003−3−330000000000
χ422222-2-2-22-22-12-1-11122211-1-111-1-1-2-2-22-1-1-111-211222220011-1-1−333−300−3−3330033−3−3-2-20000-1-11111-1-100000000−333−30000000000
χ432222-2-2-22-22-12-1-11122211-1-111-1-1-2-2-22-1-1-111-2112-2-2-2-20011-1-13−3−330033−3−300−3−33322000011-1-1-1-11100000000−333−30000000000
χ442222-2-2-22-22-12-1-11122211-1-111-1-1-2-2-22-1-1-111-2112-2-2-2-20011-1-1−333−300−3−3330033−3−322000011-1-1-1-111000000003−3−330000000000
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χ472-2-222-2-2-222222-2-2-2-2-2222-222-2-222-2-222-2-2-2-2222-20000002-2-2200000000000000000000000000000000000000000000002-2-2200
χ482-2-222-2-2-222222-2-2-2-2-2222-222-2-222-2-222-2-2-2-2222-20000002-2-220000000000000000000000000000000000000000000000-222-200
χ492-2-22-222-2-22222-222-2-22-2-2-22-22-22-22222-2-222-2-2-2-2000000-22-220000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i000000
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χ944-4-44-44-444-4-24-2222-4-44-2-22-22-2-22-44-4-4-222224-2-240000002-2-220000000000000000000000000000000000000000000000000000
χ954-4-44-44-444-4-2-2-222222-2-2-2212-2-222-2221-1-1-1-1-211-2000000-111-10000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ964-4-44-44-444-4-2-2-222222-2-2-2212-2-222-2221-1-1-1-1-211-2000000-111-100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ9788-8-80000008-4-8800-44400-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000-4-44-4−4i34i3-444−4i34i34200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000000-4-44-44i3−4i3-4444i3−4i34200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1008-88-80000008-4-8-8004-44008-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8000000-4-444−4i34i34-444i3−4i3-4200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8000000-4-4444i3−4i34-44−4i34i3-4200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).