Finite Group Databasebeta

← Group #11824505

Character table — Group #11824505

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12222222334444666666666666663666666612121212121212124412121212121212121212121212121212121212122222444444444444666666661212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-11
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-11
χ17222222222-1222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000222200220000-1-1-1-10000-1-1-1-100000000-1-1-1-10000
χ18222222222-1222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200-2-200001111000011110000000011110000
χ19222222222-1222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2-211-1-1-1-11111111100220000-2-2-2-200220000-1-1-1-10000-1-1-1-10000000011110000
χ20222222222-1222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211-2-211-1-1-1-11111111100-2-20000222200-2-2000011110000111100000000-1-1-1-10000
χ21222222222-1-2-2-2-222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-2-2111111-1-1-1-111110022000022-2-200-2-20000-1-1-1-10000111100000000-1-1110000
χ22222222222-1-2-2-2-222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211112-222-1-1-2-2111111-1-1-1-1111100-2-20000-2-2220022000011110000-1-1-1-10000000011-1-10000
χ23222222222-1-2-2-2-222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-21122-1-111111111-1-1-1-100220000-2-22200-2-20000-1-1-1-1000011110000000011-1-10000
χ24222222222-1-2-2-2-222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-22-2-21122-1-111111111-1-1-1-100-2-2000022-2-20022000011110000-1-1-1-100000000-1-1110000
χ2522222222-122222-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200222200002200-1-1-1-10000-1-1-1-100000000-1-1-1-100000000
χ2622222222-122222-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000-2-20011110000111100000000111100000000
χ2722222222-122222-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-1111111112200-2-2-2-200002200-1-1-1-10000-1-1-1-100000000111100000000
χ2822222222-122222-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-111111111-2-20022220000-2-20011110000111100000000-1-1-1-100000000
χ2922222222-12-2-2-2-2-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-11111-2-2-2-22-2-1-12211-2-21111-1-1-1-11111220022-2-20000-2-200-1-1-1-10000111100000000-1-11100000000
χ3022222222-12-2-2-2-2-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-11111-2-2-2-22-2-1-12211-2-21111-1-1-1-11111-2-200-2-2220000220011110000-1-1-1-10000000011-1-100000000
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χ3222222222-12-2-2-2-2-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-11111-2-2-2-2-2211-2-2-1-12211111111-1-1-1-1-2-20022-2-20000220011110000-1-1-1-100000000-1-11100000000
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χ4322-22-2-2-222-122-2-22-2-22-2-111112-2-1-1-1-111-111-122-2-2-1-1110000i3−i300i3−i3-1-111i3i3−i3−i3i3i3−i3−i3000000002-22-200000000i3−i3i3−i30000i3i3−i3−i300000000-11-110000
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χ8744-4-44-44-4-240000-2222-24-4-4442-2-4-4-2-2222-2-22000000000000000000000000000000000000000000000000000000−232323−2300000000000000000000
χ884-444-4-44-4440000-44-444-44-4-44-4-4-444-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ914-444-4-44-4-2400002-22-2-2-44-4-4422-44-22-22-22-220000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ924-444-4-44-4-2400002-22-2-2-44-4-4422-44-22-22-22-2200000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
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χ964-44-44-4-44-2-24-44-42-22222-22-22-2-2-221-11-1-11-11-22-22-22-22002i3−2i3002i3−2i3001-11-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ974-44-44-4-44-2-2-44-442-22222-22-22-2-2-221-11-1-11-112-22-22-22-200−2i32i3002i3−2i300-11-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
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χ994-4-4444-4-44-20000-4-444-422-2-22-442-2-222-2-2-222000000000000000000000000000000000000000000004i−4i000000000000−2i2i−2i2i0000000000000000
χ1004-4-4444-4-44-20000-4-444-422-2-22-442-2-222-2-2-22200000000000000000000000000000000000000000000−4i4i0000000000002i−2i2i−2i0000000000000000
χ1014-4-4444-4-4-24000022-2-22-4-444-42-2-44-222-2-2-2220000000000000000000000000000000000000000004i−4i0000000000−2i2i−2i2i00000000000000000000
χ1024-4-4444-4-4-24000022-2-22-4-444-42-2-44-222-2-2-222000000000000000000000000000000000000000000−4i4i00000000002i−2i2i−2i00000000000000000000
χ1034-4-4-4-44444-24-4-44-4-44-4422-22-24-4-22-222-222-2-24-4-44-222-20000000000-222-200000000000000000000000000000000000000000000000000000000
χ1044-4-4-4-44444-2-444-4-4-44-4422-22-24-4-22-222-222-2-2-444-42-2-2200000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1054-4-4-4-4444-244-4-4422-22-2-4-44-44-224-4-222-222-2-2-222-24-4-440000000000-222-200000000000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-24-444-422-22-2-4-44-44-224-4-222-222-2-22-2-22-444-400000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-24-4-4422-22-222-22-2-22-221-1-11-1-111-222-2-222-200000000001-1-113-3-333-3-33000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-24-4-4422-22-222-22-2-22-221-1-11-1-111-222-2-222-200000000001-1-11-333-3-333-3000000000000000000000000000000000000000000000000
χ1094-4-4-4-4444-2-2-444-422-22-222-22-2-22-221-1-11-1-1112-2-222-2-220000000000-111-13-3-33-333-3000000000000000000000000000000000000000000000000
χ1104-4-4-4-4444-2-2-444-422-22-222-22-2-22-221-1-11-1-1112-2-222-2-220000000000-111-1-333-33-3-33000000000000000000000000000000000000000000000000
χ111888-8-88-8-8-4-40000-4-4-444-4-4-44444442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-88-8-4-40000-4444-4-444-4-44-44422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-888-8-88-8-4-400004-44-4-44-444-4444-42-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8888-8-8-4-4000044-4-4444-4-444-44-42-2-2222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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