Finite Group Databasebeta

← Group #11785118

Character table — Group #11785118

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444444444444444444444444444444444444444444444444444181818183636363636367272727272727272
order12222244442233446666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212444422444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ61111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ71111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii
χ81111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i
χ9111111-1-1-1-11111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-11-1
χ10111111-1-1-1-11111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-11-11
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χ13111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111-1-111-1-11
χ14111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-111-1-111-1
χ15111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1i−i−ii−iii−i
χ16111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1−iii−ii−i−ii
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χ192222-2-2-2-2220022002222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-22222222200000000000000002-22-200-220000000000
χ202222-2-2-2-2220022002222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2222222220000000000000000-22-22002-20000000000
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χ874-4-44004-40000-21002-12-100-33003-3002i3−2i3i3−i3−i3i300−2i32i3−i3i3i3−i3-21-222-2-111-10000-333-3002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000
χ884-4-4400-4400001-200-12-123-300-3300−i3i3i3−i3−2i32i300i3−i3−i3i32i3−2i3001-2-111-1-222-2-333-30000−i3i3−i3i3−2i32i300i3−i3i3−i32i3−2i300000000000000000000
χ894-4-4400-4400001-200-12-123-300-3300i3−i3−i3i32i3−2i300−i3i3i3−i3−2i32i3001-2-111-1-222-2-333-30000i3−i3i3−i32i3−2i300−i3i3−i3i3−2i32i300000000000000000000
χ904-4-4400-4400001-200-12-12-33003-300−i3i3−i3i300−2i32i3i3−i3i3−i3002i3−2i31-2-111-1-222-23-3-330000−i3i3i3−i3002i3−2i3i3−i3−i3i300−2i32i3000000000000000000
χ914-4-4400-4400001-200-12-12-33003-300i3−i3i3−i3002i3−2i3−i3i3−i3i300−2i32i31-2-111-1-222-23-3-330000i3−i3−i3i300−2i32i3−i3i3i3−i3002i3−2i3000000000000000000
χ924-4-4400-4400004400-4-4-4-400000000000000000000000044-444-44-4-44000000000000000000000000000000000000000000
χ934-4-4400-440000-21002-12-1003-300-33−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i3-212-2-221-1-110000-333-3−2i32i300i3−i3−i3i32i3−2i300−i3i3i3−i3000000000000000000
χ944-4-4400-440000-21002-12-1003-300-332i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i3-212-2-221-1-110000-333-32i3−2i300−i3i3i3−i3−2i32i300i3−i3−i3i3000000000000000000
χ954-4-4400-440000-21002-12-100-33003-300−2i32i3−i3i3i3−i3002i3−2i3i3−i3−i3i3-212-2-221-1-1100003-3-33002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000
χ964-4-4400-440000-21002-12-100-33003-3002i3−2i3i3−i3−i3i300−2i32i3−i3i3i3−i3-212-2-221-1-1100003-3-3300−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000

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