Finite Group Databasebeta

← Group #11817839

Character table — Group #11817839

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666223446666666666644444666666121212121212121212121212121212124444444444121212121212121244444412121212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-111-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1111
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1111111-1
χ17222222222-1222-1-1-122-12-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100002222220000000000002000-1-1-1-1-1-1-1-10000000
χ18222222222-1222-1-1-122-12-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000000000-2000111111110000000
χ19222222222-1222-1-1-122-12-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-211-2-2111111111100002222-2-2000000000000-2000-1-111-1-1110000000
χ20222222222-1222-1-1-122-12-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-222000000000000200011-1-111-1-10000000
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χ23222222222-1222-1-1-122-12-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-100002111111-2-21122-1-11111-1-1-1-1000022-2-222000000000000-2000-1-11111-1-10000000
χ24222222222-1222-1-1-122-12-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-100002111111-2-21122-1-11111-1-1-1-10000-2-222-2-2000000000000200011-1-1-1-1110000000
χ2522222222-12-1-1-1222-1-12-1222-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000002-1-100000000-1-100000
χ2622222222-12-1-1-1222-1-12-1222-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000001111111100000-211000000001100000
χ2722222222-12-1-1-1222-1-12-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-111-2-211-2-21111111122-2-2000000-1-1-1-1-1-1-1-100000-211000000001100000
χ2822222222-12-1-1-1222-1-12-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-111-2-211-2-211111111-2-22200000011111111000002-1-100000000-1-100000
χ2922222222-12-1-1-1222-1-12-1222-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-21111-1-12211-2-2-1-1-1-11111-2-222000000-1-1-1-1111100000-21100000000-1-100000
χ3022222222-12-1-1-1222-1-12-1222-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-21111-1-12211-2-2-1-1-1-1111122-2-20000001111-1-1-1-1000002-1-1000000001100000
χ3122222222-12-1-1-1222-1-12-1222-1-2-2-1-2-21111-1-1-1-1-1-1-122222-2-2111111-2-2-1-1221111-1-1-1-1-2-2-2-2000000-1-1-1-11111000002-1-1000000001100000
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χ934-44-4-444-44-2-4-4422-24-4-242-22-400-200000022-22-2-2200000000000000000000000000000000000−4i4i00000000000000000000002i−2i0000000
χ944-44-4-444-4-2422-2-4-44-224-2-44-4200-200000022-22-2-224i−4i−4i4i000000000000000000000000000000000−2i2i2i−2i000000000000000000000000000
χ954-44-4-444-4-2422-2-4-44-224-2-44-4200-200000022-22-2-22−4i4i4i−4i0000000000000000000000000000000002i−2i−2i2i000000000000000000000000000
χ964-4-44-44-4444-44-4-4-44-44-444-44-4004000000-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ974-4-44-44-444-2-44-422-2-4424-22-2-400-200000022-2-222-20000000000000000000000000000000000000000000000000000000−2i32i300000000000
χ984-4-44-44-444-2-44-422-2-4424-22-2-400-200000022-2-222-200000000000000000000000000000000000000000000000000000002i3−2i300000000000
χ994-4-44-44-44-242-22-4-442-2-4-24-44200-200000022-2-222-20000000000000000000000000000000000000000023−23−232300000000000000000000000
χ1004-4-44-44-44-242-22-4-442-2-4-24-44200-200000022-2-222-200000000000000000000000000000000000000000−232323−2300000000000000000000000
χ1014-4-4-44-4444-2-4-442-22-442-42-2-2400-20000002-222-22-200000000000000000000000000000004-400000000000000000000-220000000000000
χ1024-4-4-44-4444-2-4-442-22-442-42-2-2400-20000002-222-22-20000000000000000000000000000000-44000000000000000000002-20000000000000
χ1034-4-4-44-444-2422-2-44-42-2-42-444-200-20000002-222-22-20000000000000000000000000004-4000000000000-22-2200000000000000000000000
χ1044-4-4-44-444-2422-2-44-42-2-42-444-200-20000002-222-22-2000000000000000000000000000-440000000000002-22-200000000000000000000000
χ1058-8888-8-8-8-4-44-444-44-44-44-444-4002000000-22-22-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-888-8-4-444-444-4-44-4-44-444002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-88-4-44-4444-44-44-4-44-44002000000-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-444-44-444-4444-4-4-4002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000

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