Finite Group Databasebeta

← Group #10826296

Character table — Group #10826296

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order122222223444444446666666224444444412121212121212121212121212121212121212121212121222222444666666666666121212121212888888882244888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-11111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-11
χ111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ121111111111-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ131111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ141111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111111-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ151111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ17222222222-22222-2-2-22222222-2-2222200002222-2-2-2-22222222200000000-20000-200-2-2-2-200000000-2-20000000000000000000000
χ18222222222-22222-2-2-22222222-2-2-2-2-2-20000-2-2-2-2-2-2-2-22222-2-2-2-20000000020000200-2-22200000000220000000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222222-2-200002222-2-2-2-2-2-2-2-2-2-2-2-20000000020000-200222200000000-2-20000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2220000-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2000020022-2-200000000220000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111112-2-2-2-22-2-2-1-1-1-111111111-1-11111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-222221111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-222-2-2-2-2-2-1-111-1-1-1-11111111111000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-222-222-1-1111111-1-1-1-111-1-1-1-1000000000000000000
χ2522222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-222-2-22222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-2222111111111111-1-1-1-1-1-1000000000000000000
χ2622222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-222222-2-21111-1-1-1-1-1-1-1-1-1-11111000000000000000000
χ2722222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-22222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-12-2-222-2-2-211-1-11111-1-1-1-1111111000000000000000000
χ2822222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-21111-1-1-1-11111-1-1-1-111111111222-2-2-22211-1-1-1-1-1-1111111-1-1-1-1000000000000000000
χ2922222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-222220000-1-1-1-11111-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3-20000-2001111−i3−i3i3i3−i3−i3i3i311−i3−i3i3i3000000000000000000
χ3022222222-1-22222-2-2-2-1-1-1-1-1-1-1-2-222220000-1-1-1-11111-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3-20000-2001111i3i3−i3−i3i3i3−i3−i311i3i3−i3−i3000000000000000000
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χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-20000-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i320000-200-1-1-1-1i3i3−i3−i3i3i3−i3−i311−i3−i3i3i3000000000000000000
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χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2220000111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-20000200-1-111i3i3−i3−i3−i3−i3i3i3-1-1i3i3−i3−i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2220000111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-20000200-1-111−i3−i3i3i3i3i3−i3−i3-1-1−i3−i3i3i3000000000000000000
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χ3922-22-22-2-2202i2i−2i−2i00022-2-22-2-200-22−2i2i0000-2-22200002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000−i2−i2i2i222−2−20000i2−i2−2200
χ4022-22-22-2-2202i2i−2i−2i00022-2-22-2-200-22−2i2i0000-2-22200002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000i2i2−i2−i2−2−2220000−i2i22−200
χ4122-22-22-2-220−2i−2i2i2i00022-2-22-2-2002-2−2i2i000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000−i2−i2i2i2−2−2220000−i2i2−2200
χ4222-22-22-2-220−2i−2i2i2i00022-2-22-2-2002-2−2i2i000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000i2i2−i2−i222−2−20000i2−i22−200
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χ4622-2-2-2-2222-200002-222-22-2-2-2200000022-2-2000022-2-20000000022-2-222-2-200000000000000000000000000-22-220000-2200000000
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χ552-2-222-2-2222-22-22-2-22-2-2-2-2222-2200002-2-2200002-2-22-22-2200002-2-222-2-220-2200000-2200-22-220000000000000000000000000000
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χ894-444-4-44-440−4i4i4i−4i000-4-4444-4-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ904-444-4-44-4-204i−4i−4i4i00022-2-2-2220000000000−2i32i32i3−2i30000−2i2i2i−2i23−23−23230000000000000000000000000000000000000000000000000000
χ914-444-4-44-4-204i−4i−4i4i00022-2-2-22200000000002i3−2i3−2i32i30000−2i2i2i−2i−232323−230000000000000000000000000000000000000000000000000000
χ924-444-4-44-4-20−4i4i4i−4i00022-2-2-2220000000000−2i32i32i3−2i300002i−2i−2i2i−232323−230000000000000000000000000000000000000000000000000000
χ934-444-4-44-4-20−4i4i4i−4i00022-2-2-22200000000002i3−2i3−2i32i300002i−2i−2i2i23−23−23230000000000000000000000000000000000000000000000000000
χ944-44-4-44-444400004-4-4-44-44-4-4400000000000000-44-44000000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-44-2400004-4-42-22-222-2000000000000002-22-200000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000000000000000
χ964-44-4-44-44-2400004-4-42-22-222-2000000000000002-22-2000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000000000000000
χ974-44-4-44-44-2-40000-4442-22-222-20000004-44-40000-22-2200000000-22-22-22-2200000000000000000000000000000000000000000000
χ984-44-4-44-44-2-40000-4442-22-222-2000000-44-440000-22-22000000002-22-22-22-200000000000000000000000000000000000000000000
χ994-4-4-4444-4400000000-444-4-44-4000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ1004-4-4-4444-4400000000-444-4-44-40000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ101888-88-8-8-8-400000000-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8888-8-4000000004-4-444-44000000000000000000000000000000000000000000000000000000000000000000000000000000

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