Finite Group Databasebeta

← Group #11863717

Character table — Group #11863717

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order12223344666666366612121212266666666121222448888242424242424242444661212242222664466666666661212121226666666612122244888824242424242424244466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11-11111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11-1
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χ3544444-2-4-444-2-2-24-2-2-2-22-42-40000000002200000000000000000000000044444-2-4-444-2-2-24-2-2-2-22-42-400000000022000000000000000000000000
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χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5911111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111
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χ641111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111111111-1-11-1
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χ842-22-22-1-22-2-211-12-111-112-1-2000−i3i3−i3−i3i3i31-12-2000000−i3i3−i3i3000000-110000-22-22-212-222-1-11-21-1-11-1-212000i3−i3i3i3−i3−i3-11-22000000i3−i3i3−i30000001-10000
χ852-22-22-1-22-2-211-12-111-112-1-2000−i3i3−i3−i3i3i31-1-22000000i3−i3i3−i30000001-10000-22-22-212-222-1-11-21-1-11-1-212000i3−i3i3i3−i3−i3-112-2000000−i3i3−i3i3000000-110000
χ862-22-22-1-22-2-211-12-111-112-1-2000i3−i3i3i3−i3−i31-12-2000000i3−i3i3−i3000000-110000-22-22-212-222-1-11-21-1-11-1-212000−i3i3−i3−i3i3i3-11-22000000−i3i3−i3i30000001-10000
χ872-22-22-1-22-2-211-12-111-112-1-2000i3−i3i3i3−i3−i31-1-22000000−i3i3−i3i30000001-10000-22-22-212-222-1-11-21-1-11-1-212000−i3i3−i3−i3i3i3-112-2000000i3−i3i3−i3000000-110000
χ882-22-2-122-211-2-22-1-111-121-2-10−i3i300−i3i3−i3i3-11002-200000000−i3i3−i3i30000-1100-22-221-2-22-1-122-211-1-11-2-1210i3−i300i3−i3i3−i31-100-2200000000i3−i3i3−i300001-100
χ892-22-2-122-211-2-22-1-111-121-2-10−i3i300−i3i3−i3i3-1100-2200000000i3−i3i3−i300001-100-22-221-2-22-1-122-211-1-11-2-1210i3−i300i3−i3i3−i31-1002-200000000−i3i3−i3i30000-1100
χ902-22-2-122-211-2-22-1-111-121-2-10i3−i300i3−i3i3−i3-11002-200000000i3−i3i3−i30000-1100-22-221-2-22-1-122-211-1-11-2-1210−i3i300−i3i3−i3i31-100-2200000000−i3i3−i3i300001-100
χ912-22-2-122-211-2-22-1-111-121-2-10i3−i300i3−i3i3−i3-1100-2200000000−i3i3−i3i300001-100-22-221-2-22-1-122-211-1-11-2-1210−i3i300−i3i3−i3i31-1002-200000000i3−i3i3−i30000-1100
χ9244444-2-4-444-2-2-24-2-2-2-22-42-400000000022000000000000000000000000-4-4-4-4-4244-4-4222-42222-24-24000000000-2-2000000000000000000000000
χ934444-24-4-4-2-2444-2-2-2-2-2-42-4200000000022000000000000000000000000-4-4-4-42-44422-4-4-4222224-24-2000000000-2-2000000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222-42222-1-1-1-1-1-1000000000000000000000000
χ954444-2-244-2-2-2-2-2-21111-2-2-2-2-42222-1-1-1-111000000000000000000000000-4-4-4-422-4-4222222-1-1-1-122224-2-2-2-21111-1-1000000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-211112222000003-3-33-1-1000000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000-333-311000000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-21111222200000-333-3-1-1000000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000003-3-3311000000000000000000000000
χ9844-4-44-2004-4-222-4-2-222000000000000000000022−2200−2−222000000000000-4-444-4200-442-2-2422-2-20000000000000000000−22220022−2−2000000000000
χ9944-4-44-2004-4-222-4-2-2220000000000000000000−22220022−2−2000000000000-4-444-4200-442-2-2422-2-2000000000000000000022−2200−2−222000000000000
χ10044-4-4-2400-224-4-42-2-222000000000000000000000−2i22i20000i2i2−i2−i200000000-4-4442-4002-2-444-222-2-20000000000000000000002i2−2i20000−i2−i2i2i200000000
χ10144-4-4-2400-224-4-42-2-2220000000000000000000002i2−2i20000−i2−i2i2i200000000-4-4442-4002-2-444-222-2-2000000000000000000000−2i22i20000i2i2−i2−i200000000
χ1024-44-44-24-4-4-422-24-222-2-2-424000000000-22000000000000000000000000-44-44-42-4444-2-22-42-2-2224-2-40000000002-2000000000000000000000000
χ1034-44-4-24-4422-4-44-2-222-2-4-2420000000002-2000000000000000000000000-44-442-44-4-2-244-422-2-2242-4-2000000000-22000000000000000000000000
χ1044-44-4-2-24-42222-2-21-1-11-222-20−2i32i300i3−i3i3−i31-1000000000000000000000000-44-4422-44-2-2-2-222-111-12-2-2202i3−2i300−i3i3−i3i3-11000000000000000000000000
χ1054-44-4-2-24-42222-2-21-1-11-222-202i3−2i300−i3i3−i3i31-1000000000000000000000000-44-4422-44-2-2-2-222-111-12-2-220−2i32i300i3−i3i3−i3-11000000000000000000000000
χ1064-44-4-2-2-442222-2-21-1-112-2-22000−2i32i3i3i3−i3−i3-11000000000000000000000000-44-44224-4-2-2-2-222-111-1-222-20002i3−2i3−i3−i3i3i31-1000000000000000000000000
χ1074-44-4-2-2-442222-2-21-1-112-2-220002i3−2i3−i3−i3i3i3-11000000000000000000000000-44-44224-4-2-2-2-222-111-1-222-2000−2i32i3i3i3−i3−i31-1000000000000000000000000
χ1084-4-444400-44-44-4-44-44-4000000000000000000000000000000000000000-444-4-4-4004-44-444-44-44000000000000000000000000000000000000000
χ1094-4-444-200-442-22-4-22-2200000000000000000000000i6−i6−i6i6000000000000-444-4-42004-4-22-242-22-200000000000000000000000−i6i6i6−i6000000000000
χ1104-4-444-200-442-22-4-22-2200000000000000000000000−i6i6i6−i6000000000000-444-4-42004-4-22-242-22-200000000000000000000000i6−i6−i6i6000000000000
χ1114-4-44-24002-2-44-42-22-220000000000000000000000000006−6−6600000000-444-42-400-224-44-22-22-2000000000000000000000000000−666−600000000
χ1124-4-44-24002-2-44-42-22-22000000000000000000000000000−666−600000000-444-42-400-224-44-22-22-20000000000000000000000000006−6−6600000000
χ11388-8-8-4-400-44-444422-2-2000000000000000000000000000000000000000-8-88844004-44-4-4-4-2-222000000000000000000000000000000000000000
χ1148-8-88-4-4004-44-4442-22-2000000000000000000000000000000000000000-888-84400-44-44-4-4-22-22000000000000000000000000000000000000000

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