Finite Group Databasebeta

← Group #11817803

Character table — Group #11817803

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666666666444426666666666666612121212121212124444444444121212121212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-11
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1111
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1-1-1111
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ17222222222-1222-1-1-1222-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10022220022000000000000020000-1-1-1-1-1-1-1-100000
χ18222222222-1222-1-1-1222-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-200-2-20000000000000-200001111111100000
χ19222222222-1222-1-1-1222-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-2-211-1-1-1-11111-2-21111110022-2-200-2-2000000000000020000-1-11111-1-100000
χ20222222222-1222-1-1-1222-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-2-211-1-1-1-11111-2-211111100-2-22200220000000000000-2000011-1-1-1-11100000
χ21222222222-1222-1-1-1222-1-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-211-2-2111111111122-1-1-1-1-1-10022-2-200220000000000000-20000-1-1-1-1111100000
χ22222222222-1222-1-1-1222-1-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-211-2-2111111111122-1-1-1-1-1-100-2-22200-2-20000000000000200001111-1-1-1-100000
χ23222222222-1222-1-1-1222-1-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1000021122-1-11111-1-1-1-1-2-211111100222200-2-20000000000000-20000-1-111-1-11100000
χ24222222222-1222-1-1-1222-1-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1000021122-1-11111-1-1-1-1-2-211111100-2-2-2-2002200000000000002000011-1-111-1-100000
χ2522222222-12-1-1-1222-1-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12200002200-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ2622222222-12-1-1-1222-1-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-20000-2-200111111110000-2011110000000000000
χ2722222222-12-1-1-1222-1-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-2-1-1-1-1111111-2-21111220000-2-200-1-1-1-1-1-1-1-10000-2011110000000000000
χ2822222222-12-1-1-1222-1-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-2-1-1-1-1111111-2-21111-2-20000220011111111000020-1-1-1-10000000000000
χ2922222222-12-1-1-1222-1-1-12222-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-211-2-211111111-1-122-1-1-1-1-2-200002200-1-1-1-111110000-20-1-1110000000000000
χ3022222222-12-1-1-1222-1-1-12222-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-211-2-211111111-1-122-1-1-1-1220000-2-2001111-1-1-1-100002011-1-10000000000000
χ3122222222-12-1-1-1222-1-1-12222-1-2-2-1-2-21111-1-1-1-1-1-1-122222-2-2-1-1221111-1-1-1-111-2-21111-2-20000-2-200-1-1-1-1111100002011-1-10000000000000
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χ3522-222-2-2-2222-2-22-2-22-2-22-2-222-22200-2-22222-2-2-2-2200000-220000-2-2220000000000000000000000000000002i2i−2i−2i0000000000000000−2i2i0
χ3622-222-2-2-2222-2-22-2-22-2-22-2-222-22200-2-22222-2-2-2-2200000-220000-2-222000000000000000000000000000000−2i−2i2i2i00000000000000002i−2i0
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χ492-2-22-222-2-121-1-1-22-2-111-2-222100-12-2−i3i3−i3i311-111-1-12i−2i−2i2i000−i3i300−i3i3−i3i3−i3−i3i3i3-112-2-1-1110000002i−2i00−iii−i33−3−3000000−ii3−30000000000000
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χ954-4-44-444-44-2-4442-224-4-422-2-2-400-24-4000022-222-2-200000000000000000004-4-22-2-22200000000000000000000000000000000000000000
χ964-4-44-444-44-2-4442-224-4-422-2-2-400-2-44000022-222-2-20000000000000000000-442-222-2-200000000000000000000000000000000000000000
χ974-4-44-444-4-2-22-2-22-22-22222-2-220014-4−2i32i3−2i32i3-1-11-1-1110000000−2i32i300i3−i3i3−i3i3i3−i3−i3-22-2211-1-100000000000000000000000000000000000000000
χ984-4-44-444-4-2-22-2-22-22-22222-2-220014-42i3−2i32i3−2i3-1-11-1-11100000002i3−2i300−i3i3−i3i3−i3−i3i3i3-22-2211-1-100000000000000000000000000000000000000000
χ994-4-44-444-4-2-22-2-22-22-22222-2-22001-44−2i32i3−2i32i3-1-11-1-11100000002i3−2i300i3−i3i3−i3−i3−i3i3i32-22-2-1-11100000000000000000000000000000000000000000
χ1004-4-44-444-4-2-22-2-22-22-22222-2-22001-442i3−2i32i3−2i3-1-11-1-1110000000−2i32i300−i3i3−i3i3i3i3−i3−i32-22-2-1-11100000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-4-44222-44-4-2-2-22400-20000002-22-22-2200000000000000000000000000000004-400000000000000000000000000-220000000
χ1024-4-4-44-4444-2-4-44222-44-4-2-2-22400-20000002-22-22-220000000000000000000000000000000-44000000000000000000000000002-20000000
χ1034-4-4-44-444-2422-2-4-4-42-22444-4-200-20000002-22-22-220000000000000000000000000004-4000000000000-22-2200000000000000000000000
χ1044-4-4-44-444-2422-2-4-4-42-22444-4-200-20000002-22-22-22000000000000000000000000000-440000000000002-22-200000000000000000000000
χ105888-8-8-88-8-4-4-44-4-44-444-444-4440020000002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-44-4-444-444-44440020000002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-44-444-4-444-4-4444-4002000000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-444-44444-44-4-4-44-4002000000-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000

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