Finite Group Databasebeta

← Group #11865058

Character table — Group #11865058

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222244444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222233444466666622223666666666666666666612121212121212126666666666661212121222224444666666661212121212121212888824242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1
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χ1111-1-1111-1-111-1-1-1-11111-1-111-11-11111-1-1-1-111-1-1-1-11-1-111-1-11111-1-11111-1-1-1-111-1-1-11-11-11-11-1-111-1-111-1-111-1-1111-11-111-1-111-1-1-11-11
χ1211-1-1111-1-111-1-1-1-11111-1-111-11-11111-1-1-1-111-1-1-1-11-1-111-1-11111-1-11111-1-1-1-111-1-1-11-11-11-11-1-111-1-111-1-111-1-111-11-11-1-111-1-1111-11-1
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χ1411-1-1111-1-111-1-1-1-111-1-11111-11-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-111-1-1-1-1111111-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-111-1
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χ1611-1-1111-1-111-1-1-1-111-1-11111-11-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-111-1-1-1-1111111-1-1-111-1-111-1-1-11111-1-1-1-11111-1-1-111-1-1-11111-1-11-1-11
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χ20222222-1222222-1-12-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222-1222222-1-12-1-2-2-2-2-122-1-111111111-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211111111-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ22222222-1222222-1-12-1-2-2-2-2-122-1-111111111-1-1-1-1-1-1-122-1-1-1-122-2-2-2-211111111-1-1-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ23222222-1-2-2-2-222-1-12-12-22-2-122-1-1-1-111-1-111-1-1-1-1-1-1-1-2-21111-2-22-22-2-1-111-1-111111100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000
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χ25222222-1-2-2-2-222-1-12-1-22-22-122-1-111-1-111-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2211-1-111-1-1111100000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ26222222-1-2-2-2-222-1-12-1-22-22-122-1-111-1-111-1-1-1-1-1-1-1-1-1-2-21111-2-2-22-2211-1-111-1-1111100000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ2722222-122222-1-122-122222-1-1-12222222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2822222-122222-1-122-122222-1-1-12222222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ2922222-122222-1-122-12-2-2-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-1111111111111-1-1-1-100000000000000000000000022-2-2-1-1-1-111110000
χ3022222-122222-1-122-12-2-2-2-2-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12222-1-1111111111111-1-1-1-1000000000000000000000000-2-2221111-1-1-1-10000
χ3122222-12-2-2-2-2-1-122-122-22-2-1-1-12222-2-222-2-2-1-1-1-1-1-1-111-2-2-2-211-11-11-1-111-1-111111100000000000000000000000000003−33−33−33−30000
χ3222222-12-2-2-2-2-1-122-122-22-2-1-1-12222-2-222-2-2-1-1-1-1-1-1-111-2-2-2-211-11-11-1-111-1-11111110000000000000000000000000000−33−33−33−330000
χ3322222-12-2-2-2-2-1-122-12-22-22-1-1-122-2-222-2-222-1-1-1-1-1-1-111-2-2-2-2111-11-111-1-111-1-1111100000000000000000000000000003−33−3−33−330000
χ3422222-12-2-2-2-2-1-122-12-22-22-1-1-122-2-222-2-222-1-1-1-1-1-1-111-2-2-2-2111-11-111-1-111-1-111110000000000000000000000000000−33−333−33−30000
χ35222-2-2222-22-222-2-22200002-2-2-2200000000-2-222-2-222-22-22-22-20000000000002-22-2002-200-22000022-2-20000-2-2220000000000000000
χ36222-2-2222-22-222-2-22200002-2-2-2200000000-2-222-2-222-22-22-22-20000000000002-22-200-22002-20000-2-222000022-2-20000000000000000
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χ40222-2-22-12-22-222112-10000-1-2-21-1−i3i3−i3i3−i3i3−i3i311-1-111-12-2-11-112-20000−i3i3−i3i3−i3i3−i3i3-11-1100-22002-2i3−i3−i3i311-1-1−i3i3i3−i3-1-1110000000000000000
χ41222-2-22-12-22-222112-10000-1-2-21-1i3−i3i3−i3i3−i3i3−i311-1-111-12-2-11-112-20000i3−i3i3−i3i3−i3i3−i3-11-11002-200-22i3−i3−i3i3-1-111−i3i3i3−i311-1-10000000000000000
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χ45222-2-22-1-22-2222112-10000-1-2-21-1i3−i3−i3i3i3−i3−i3i311-1-111-1-221-11-1-220000i3−i3−i3i3i3−i3−i3i31-11-12-200-2200-1-111i3−i3−i3i311-1-1−i3i3i3−i30000000000000000
χ46222-2-22-1-22-2222112-10000-1-2-21-1i3−i3−i3i3i3−i3−i3i311-1-111-1-221-11-1-220000i3−i3−i3i3i3−i3−i3i31-11-1-22002-20011-1-1−i3i3i3−i3-1-111i3−i3−i3i30000000000000000
χ4722-22-2222-2-22-2-2222200002-22-2-200000000-2-2-2-22222-2-222-2-22000000000000-222-22200-2-20022220000-2-2-2-200000000000000000000
χ4822-22-2222-2-22-2-2222200002-22-2-200000000-2-2-2-22222-2-222-2-22000000000000-222-2-2-2002200-2-2-2-20000222200000000000000000000
χ4922-22-222-222-2-2-2222200002-22-2-200000000-2-2-2-2222-222-2-222-20000000000002-2-22002200-2-2000022220000-2-2-2-20000000000000000
χ5022-22-222-222-2-2-2222200002-22-2-200000000-2-2-2-2222-222-2-222-20000000000002-2-2200-2-200220000-2-2-2-2000022220000000000000000
χ5122-22-22-12-2-22-2-2-1-12-10000-1-2211−i3i3i3−i3i3−i3−i3i31111-1-1-12-21-1-11-220000−i3i3i3−i3i3−i3−i3i31-1-112200-2-200-1-1-1-1−i3i3−i3i31111i3−i3i3−i30000000000000000
χ5222-22-22-12-2-22-2-2-1-12-10000-1-2211−i3i3i3−i3i3−i3−i3i31111-1-1-12-21-1-11-220000−i3i3i3−i3i3−i3−i3i31-1-11-2-20022001111i3−i3i3−i3-1-1-1-1−i3i3−i3i30000000000000000
χ5322-22-22-12-2-22-2-2-1-12-10000-1-2211i3−i3−i3i3−i3i3i3−i31111-1-1-12-21-1-11-220000i3−i3−i3i3−i3i3i3−i31-1-112200-2-200-1-1-1-1i3−i3i3−i31111−i3i3−i3i30000000000000000
χ5422-22-22-12-2-22-2-2-1-12-10000-1-2211i3−i3−i3i3−i3i3i3−i31111-1-1-12-21-1-11-220000i3−i3−i3i3−i3i3i3−i31-1-11-2-20022001111−i3i3−i3i3-1-1-1-1i3−i3i3−i30000000000000000
χ5522-22-22-1-222-2-2-2-1-12-10000-1-2211−i3i3−i3i3i3−i3i3−i31111-1-1-1-22-111-12-20000−i3i3−i3i3i3−i3i3−i3-111-1002200-2-2−i3i3−i3i3-1-1-1-1i3−i3i3−i311110000000000000000
χ5622-22-22-1-222-2-2-2-1-12-10000-1-2211−i3i3−i3i3i3−i3i3−i31111-1-1-1-22-111-12-20000−i3i3−i3i3i3−i3i3−i3-111-100-2-20022i3−i3i3−i31111−i3i3−i3i3-1-1-1-10000000000000000
χ5722-22-22-1-222-2-2-2-1-12-10000-1-2211i3−i3i3−i3−i3i3−i3i31111-1-1-1-22-111-12-20000i3−i3i3−i3−i3i3−i3i3-111-1002200-2-2i3−i3i3−i3-1-1-1-1−i3i3−i3i311110000000000000000
χ5822-22-22-1-222-2-2-2-1-12-10000-1-2211i3−i3i3−i3−i3i3−i3i31111-1-1-1-22-111-12-20000i3−i3i3−i3−i3i3−i3i3-111-100-2-20022−i3i3−i3i31111i3−i3i3−i3-1-1-1-10000000000000000
χ5922-2-222222-2-2-2-2-2-2222-2-2222-22-222-2-2-2-22222-2-2-2-2222-2-222-2-22-2-2222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ6022-2-222222-2-2-2-2-2-222-222-222-22-2-2-22222-2-222-2-2-2-2222-2-222-2-2-222-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ6122-2-222-122-2-2-2-2112-12-2-22-12-2-11-1-11111-1-1-1-11111-12211-1-1-2-22-2-22-1-11111-1-111-1-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i30000000000000000
χ6222-2-222-122-2-2-2-2112-12-2-22-12-2-11-1-11111-1-1-1-11111-12211-1-1-2-22-2-22-1-11111-1-111-1-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i30000000000000000
χ6322-2-222-122-2-2-2-2112-1-222-2-12-2-1111-1-1-1-111-1-11111-12211-1-1-2-2-222-211-1-1-1-11111-1-100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ6422-2-222-122-2-2-2-2112-1-222-2-12-2-1111-1-1-1-111-1-11111-12211-1-1-2-2-222-211-1-1-1-11111-1-100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ6522-2-222-1-2-222-2-2112-122-2-2-12-2-11-1-1-1-11111-1-11111-1-2-2-1-1112222-2-2-1-1-1-11111-1-1112-22-22-22-2-1-111-1-111-1-111-1-1110000000000000000
χ6622-2-222-1-2-222-2-2112-122-2-2-12-2-11-1-1-1-11111-1-11111-1-2-2-1-1112222-2-2-1-1-1-11111-1-111-22-22-22-2211-1-111-1-111-1-111-1-10000000000000000
χ6722-2-222-1-2-222-2-2112-1-2-222-12-2-111111-1-1-1-1-1-11111-1-2-2-1-11122-2-2221111-1-1-1-1-1-1112-2-222-2-22-1-11111-1-1-1-11111-1-10000000000000000
χ6822-2-222-1-2-222-2-2112-1-2-222-12-2-111111-1-1-1-1-1-11111-1-2-2-1-11122-2-2221111-1-1-1-1-1-111-222-2-222-211-1-1-1-11111-1-1-1-1110000000000000000
χ6922-2-22-1222-2-211-2-2-122-2-22-1-112-222-2-2-2-222-1-11111-1-1-1-2-22211-111-1-1-11111-1-111-1-100000000000000000000000000003−3−333−3−330000
χ7022-2-22-1222-2-211-2-2-122-2-22-1-112-222-2-2-2-222-1-11111-1-1-1-2-22211-111-1-1-11111-1-111-1-10000000000000000000000000000−333−3−333−30000
χ7122-2-22-1222-2-211-2-2-12-222-2-1-112-2-2-22222-2-2-1-11111-1-1-1-2-222111-1-1111-1-1-1-11111-1-100000000000000000000000000003−3−33−333−30000
χ7222-2-22-1222-2-211-2-2-12-222-2-1-112-2-2-22222-2-2-1-11111-1-1-1-2-222111-1-1111-1-1-1-11111-1-10000000000000000000000000000−333−33−3−330000
χ7322-2-22-12-2-22211-2-2-1222-2-2-1-112-22222-2-2-2-2-1-11111-11122-2-2-1-1-1-111-1-1-1-11111-1-1110000000000000000000000002-22-2-1-111-1-1110000
χ7422-2-22-12-2-22211-2-2-1222-2-2-1-112-22222-2-2-2-2-1-11111-11122-2-2-1-1-1-111-1-1-1-11111-1-111000000000000000000000000-22-2211-1-111-1-10000
χ7522-2-22-12-2-22211-2-2-12-2-222-1-112-2-2-2-2-22222-1-11111-11122-2-2-1-111-1-11111-1-1-1-1-1-1110000000000000000000000002-2-22-1-11111-1-10000
χ7622-2-22-12-2-22211-2-2-12-2-222-1-112-2-2-2-2-22222-1-11111-11122-2-2-1-111-1-11111-1-1-1-1-1-111000000000000000000000000-222-211-1-1-1-1110000
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χ7844444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-2222222221111111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ7944444-2-2-4-4-4-4-2-2-2-2-2-24-44-41-2-2-2-2-2-222-2-222111111122222222-22-2211-1-111-1-1-1-1-1-10000000000000000000000000000000000000000
χ8044444-2-2-4-4-4-4-2-2-2-2-2-2-44-441-2-2-2-222-2-222-2-21111111222222222-22-2-1-111-1-111-1-1-1-10000000000000000000000000000000000000000
χ81444-4-4-244-44-4-2-2-4-4-240000-222-440000000022-2-222-2-224-44-4-22000000000000-22-220000000000000000000000000000000000000000
χ82444-4-4-24-44-44-2-2-4-4-240000-222-440000000022-2-222-22-2-44-442-20000000000002-22-20000000000000000000000000000000000000000
χ83444-4-4-2-24-44-4-2-222-2-200001222-2−2i32i3−2i32i3−2i32i3−2i32i3-1-111-1-11-22-22-22-220000i3−i3i3−i3i3−i3i3−i31-11-10000000000000000000000000000000000000000
χ84444-4-4-2-24-44-4-2-222-2-200001222-22i3−2i32i3−2i32i3−2i32i3−2i3-1-111-1-11-22-22-22-220000−i3i3−i3i3−i3i3−i3i31-11-10000000000000000000000000000000000000000
χ85444-4-4-2-2-44-44-2-222-2-200001222-2−2i32i32i3−2i3−2i32i32i3−2i3-1-111-1-112-22-22-22-20000i3−i3−i3i3i3−i3−i3i3-11-110000000000000000000000000000000000000000
χ86444-4-4-2-2-44-44-2-222-2-200001222-22i3−2i3−2i32i32i3−2i3−2i32i3-1-111-1-112-22-22-22-20000−i3i3i3−i3−i3i3i3−i3-11-110000000000000000000000000000000000000000
χ8744-44-4-244-4-442244-240000-22-2-4-4000000002222-2-2-2-22-444-42-20000000000002-2-220000000000000000000000000000000000000000
χ8844-44-4-24-444-42244-240000-22-2-4-4000000002222-2-2-22-24-4-44-22000000000000-222-20000000000000000000000000000000000000000
χ8944-44-4-2-24-4-4422-2-2-2-2000012-222−2i32i32i3−2i32i3−2i3−2i32i3-1-1-1-1111-222-2-222-20000i3−i3−i3i3−i3i3i3−i3-111-10000000000000000000000000000000000000000
χ9044-44-4-2-24-4-4422-2-2-2-2000012-2222i3−2i3−2i32i3−2i32i32i3−2i3-1-1-1-1111-222-2-222-20000−i3i3i3−i3i3−i3−i3i3-111-10000000000000000000000000000000000000000
χ9144-44-4-2-2-444-422-2-2-2-2000012-222−2i32i3−2i32i32i3−2i32i3−2i3-1-1-1-11112-2-222-2-220000i3−i3i3−i3−i3i3−i3i31-1-110000000000000000000000000000000000000000
χ9244-44-4-2-2-444-422-2-2-2-2000012-2222i3−2i32i3−2i3−2i32i3−2i32i3-1-1-1-11112-2-222-2-220000−i3i3−i3i3i3−i3i3−i31-1-110000000000000000000000000000000000000000
χ9344-4-44-2-244-4-42222-2-24-4-441-22-22-2-22222-2-211-1-1-1-11-2-222-2-222-222-211-1-1-1-111-1-1110000000000000000000000000000000000000000
χ9444-4-44-2-244-4-42222-2-2-444-41-22-2222-2-2-2-22211-1-1-1-11-2-222-2-2222-2-22-1-11111-1-1-1-1110000000000000000000000000000000000000000
χ9544-4-44-2-2-4-4442222-2-244-4-41-22-22-2-2-2-2222211-1-1-1-1122-2-222-2-2-2-2221111-1-1-1-111-1-10000000000000000000000000000000000000000
χ9644-4-44-2-2-4-4442222-2-2-4-4441-22-222222-2-2-2-211-1-1-1-1122-2-222-2-222-2-2-1-1-1-1111111-1-10000000000000000000000000000000000000000
χ978-80008800000000-8-800008000000000000000000-80000000000000000000000000000000000000000000000000000000000000000
χ988-80008-4000000−4i34i3-840000-40000000000000000−4i34i340000000000000000000000000000000000000000000000000000000000000000
χ998-80008-40000004i3−4i3-840000-400000000000000004i3−4i340000000000000000000000000000000000000000000000000000000000000000
χ1008-8000-480000−4i34i3004-80000-400000000000000−4i34i30040000000000000000000000000000000000000000000000000000000000000000
χ1018-8000-4800004i3−4i3004-80000-4000000000000004i3−4i30040000000000000000000000000000000000000000000000000000000000000000
χ1028-8000-4-40000−4i34i3−4i34i344000020000000000006-62i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ1038-8000-4-40000−4i34i34i3−4i34400002000000000000-662i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ1048-8000-4-400004i3−4i3−4i34i34400002000000000000-66−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ1058-8000-4-400004i3−4i34i3−4i344000020000000000006-6−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000

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