Finite Group Databasebeta

← Group #11824493

Character table — Group #11824493

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666223446666666666644444666666121212121212121212121212121212124444444444121212121212121244444412121212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111111-1-1-1
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-11
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-11
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-11111-1
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ17222222222-122222-1-1-1-1-1-12-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1220022002200000000000002-1-1-1-100-1-1-1-10000000
χ18222222222-122222-1-1-1-1-1-12-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-20000000000000-211110011110000000
χ19222222222-122222-1-1-1-1-1-12-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-111-2-211-2-2111111112200-2-200220000000000000-2-1-11100-1-1110000000
χ20222222222-122222-1-1-1-1-1-12-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-111-2-211-2-211111111-2-2002200-2-20000000000000211-1-10011-1-10000000
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χ24222222222-122222-1-1-1-1-1-12-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-10000211111111-2-2-1-1221111-1-1-1-1-2-2002200220000000000000-211-1-100-1-1110000000
χ2522222222-12-1-1-1-1-1222222-12-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-10000200000-1-10000-1-100000
χ2622222222-12-1-1-1-1-1222222-12-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-200111111110000-2000001100001100000
χ2722222222-12-1-1-1-1-1222222-12-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-1-2-211-2-2111111111100-2-2002200-1-1-1-1-1-1-1-10000-2000001100001100000
χ2822222222-12-1-1-1-1-1222222-12-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-1-2-211-2-21111111111002200-2-200111111110000200000-1-10000-1-100000
χ2922222222-12-1-1-1-1-1222222-12-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-2111122-1-1-2-211-1-1-1-11111002200-2-200-1-1-1-111110000-200000-1-100001100000
χ3022222222-12-1-1-1-1-1222222-12-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-2111122-1-1-2-211-1-1-1-1111100-2-20022001111-1-1-1-10000200000110000-1-100000
χ3122222222-12-1-1-1-1-1222222-12-1-2-2-1-2-21111-1-1-1-1-1-1-122222-2-21111-2-21122-1-11111-1-1-1-100-2-200-2-200-1-1-1-111110000200000110000-1-100000
χ3222222222-12-1-1-1-1-1222222-12-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-22-2-21111-2-21122-1-11111-1-1-1-100220022001111-1-1-1-10000-200000-1-100001100000
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χ4222-2-22-2-22-12-111112-2-22-2-2-12-100-12-2−i3i3−i3i3-11111-1-1-2-222000−i3i3−i3i32-2-1100−i3i3-1-111−i3−i3i3i300-2200000011-1-1i3i3−i3−i300000000001-10000i3−i300000
χ4322-2-22-2-22-12-111112-2-22-2-2-12-100-12-2i3−i3i3−i3-11111-1-122-2-2000i3−i3i3−i32-2-1100i3−i3-1-111i3i3−i3−i3002-2000000-1-111i3i3−i3−i30000000000-110000i3−i300000
χ4422-2-22-2-22-12-111112-2-22-2-2-12-100-12-2i3−i3i3−i3-11111-1-1-2-222000i3−i3i3−i32-2-1100i3−i3-1-111i3i3−i3−i300-2200000011-1-1−i3−i3i3i300000000001-10000−i3i300000
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χ964-44-4-4-444-242-22-22-44-4-44-424-200-20000002-22-22-22-44-440000000000000000000000000000000002-22-2000000000000000000000000000
χ974-4-44-44-444-2-4-44-4422-222-2-4-2400-200000022-22-2-220000000000000000000000000004-40000000000000000000000-22000000000000000
χ984-4-44-44-444-2-4-44-4422-222-2-4-2400-200000022-22-2-22000000000000000000000000000-4400000000000000000000002-2000000000000000
χ994-4-44-44-44-2422-22-2-4-44-4-4424-200-200000022-22-2-224-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1004-4-44-44-44-2422-22-2-4-44-4-4424-200-200000022-22-2-22-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1014-4-4-4444-44-2-4-444-422-2-2-2242-400-200000022-2-222-2000000000000000000000000000000000004i−4i00000000000000000000−2i2i000000000
χ1024-4-4-4444-44-2-4-444-422-2-2-2242-400-200000022-2-222-200000000000000000000000000000000000−4i4i000000000000000000002i−2i000000000
χ1034-4-4-4444-4-2422-2-22-4-4444-4-2-4200-200000022-2-222-20000000000000000000000000000000004i−4i000000−2i2i−2i2i00000000000000000000000
χ1044-4-4-4444-4-2422-2-22-4-4444-4-2-4200-200000022-2-222-2000000000000000000000000000000000−4i4i0000002i−2i2i−2i00000000000000000000000
χ1058-8888-8-8-8-4-44-444-44-44-44-4-444002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-8-888-4-44-44-444-444-444-4-4002000000-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-88-4-444-44-444-444-44-4-4002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-444-4-4444-4-4-44-444002000000-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000

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