Finite Group Databasebeta

← Group #10733159

Character table — Group #10733159

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111111122222222222222224444444488888888888888888888888888888888888888121212121212121212121212121212122424242424242424
order122222222222222236666666666666664444444422444444446666121212121212121212121212121212121212121212121212222244444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ41111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111
χ911111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ1011111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ1111111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-222-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-111111111000000000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222-2-22211111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-2-2-222-1-1-1-11111-1-1-1-111111111-1-1-1-11111000000000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-22222-2-2-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-22222-2-2-1-1-1-111111111-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-222-2-222221111-1-1-1-1-1-1-1-1111111111111-1-1-1-1000000000000000000000000
χ252222222-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-2-2000000002-20000000022-2-200000000000000000000000022-2-222-2-20000000000000000
χ262222222-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-2-2000000002-20000000022-2-2000000000000000000000000-2-222-2-2220000000000000000
χ272222222-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-2-200000000-2200000000-2-22200000000000000000000000022-2-2-2-2220000000000000000
χ282222222-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-2-200000000-2200000000-2-222000000000000000000000000-2-22222-2-20000000000000000
χ292222-2-2-2222-2-2-22-2-22222-2-2-2-222-2-22-2-2222-2-200000000000000000000000000000022-2-200000000000000002i2i−2i−2i0000002i−2i0000
χ302222-2-2-2222-2-2-22-2-22222-2-2-2-222-2-22-2-2222-2-200000000000000000000000000000022-2-20000000000000000−2i−2i2i2i000000−2i2i0000
χ312222-2-2-2222-2-2-22-2-22222-2-2-2-222-2-22-2-22-2-222000000000000000000000000000000-2-22200000000000000002i2i−2i−2i000000−2i2i0000
χ322222-2-2-2222-2-2-22-2-22222-2-2-2-222-2-22-2-22-2-222000000000000000000000000000000-2-2220000000000000000−2i−2i2i2i0000002i−2i0000
χ3322-2-222-22-22-2-22-2-2222-2-222-2-22-22-222-2-20000000000002i−2i00000000000000002i2i−2i−2i000000000000000000002-22-22i2i−2i−2i00000000
χ3422-2-222-22-22-2-22-2-2222-2-222-2-22-22-222-2-20000000000002i−2i00000000000000002i2i−2i−2i00000000000000000000-22-22−2i−2i2i2i00000000
χ3522-2-222-22-22-2-22-2-2222-2-222-2-22-22-222-2-2000000000000−2i2i0000000000000000−2i−2i2i2i000000000000000000002-22-2−2i−2i2i2i00000000
χ3622-2-222-22-22-2-22-2-2222-2-222-2-22-22-222-2-2000000000000−2i2i0000000000000000−2i−2i2i2i00000000000000000000-22-222i2i−2i−2i00000000
χ3722-2-2-2-222-2222-2-22-222-2-2-2-2222-2-222-22-200000000000000002i−2i000000002i2i−2i−2i00000000000000002-22-200002i−2i−2i2i000000000000
χ3822-2-2-2-222-2222-2-22-222-2-2-2-2222-2-222-22-200000000000000002i−2i000000002i2i−2i−2i0000000000000000-22-220000−2i2i2i−2i000000000000
χ3922-2-2-2-222-2222-2-22-222-2-2-2-2222-2-222-22-20000000000000000−2i2i00000000−2i−2i2i2i00000000000000002-22-20000−2i2i2i−2i000000000000
χ4022-2-2-2-222-2222-2-22-222-2-2-2-2222-2-222-22-20000000000000000−2i2i00000000−2i−2i2i2i0000000000000000-22-2200002i−2i−2i2i000000000000
χ4122-2-2-2-22-22-2-2222-2222-2-2-2-222-222-2-22-22000022-2-200000000000000000000000000000022-2-200002-2-2200000000000000002-200
χ4222-2-2-2-22-22-2-2222-2222-2-2-2-222-222-2-22-22000022-2-200000000000000000000000000000022-2-20000-222-20000000000000000-2200
χ4322-2-2-2-22-22-2-2222-2222-2-2-2-222-222-2-22-220000-2-222000000000000000000000000000000-2-22200002-2-220000000000000000-2200
χ4422-2-2-2-22-22-2-2222-2222-2-2-2-222-222-2-22-220000-2-222000000000000000000000000000000-2-2220000-222-200000000000000002-200
χ452-22-22-222-2-2-2-2-22222-22-22-22-22-2-22-22-2200002-22-20000000000000000000000000000002-22-200000000000000002-22-20000002-2
χ462-22-22-222-2-2-2-2-22222-22-22-22-22-2-22-22-2200002-22-20000000000000000000000000000002-22-20000000000000000-22-22000000-22
χ472-22-22-222-2-2-2-2-22222-22-22-22-22-2-22-22-220000-22-22000000000000000000000000000000-22-2200000000000000002-22-2000000-22
χ482-22-22-222-2-2-2-2-22222-22-22-22-22-2-22-22-220000-22-22000000000000000000000000000000-22-220000000000000000-22-220000002-2
χ492-2-222-2-222-222-2-2-222-2-222-2-2222-2-2-222-200000000002i−2i00000000002i2i−2i−2i0000000000000000000000002-22-200002i−2i−2i2i00000000
χ502-2-222-2-222-222-2-2-222-2-222-2-2222-2-2-222-200000000002i−2i00000000002i2i−2i−2i000000000000000000000000-22-220000−2i2i2i−2i00000000
χ512-2-222-2-222-222-2-2-222-2-222-2-2222-2-2-222-20000000000−2i2i0000000000−2i−2i2i2i0000000000000000000000002-22-20000−2i2i2i−2i00000000
χ522-2-222-2-222-222-2-2-222-2-222-2-2222-2-2-222-20000000000−2i2i0000000000−2i−2i2i2i000000000000000000000000-22-2200002i−2i−2i2i00000000
χ532-2-222-2-2-2-22-22222-22-2-222-2-22-2-2222-2-222-22-20000000000000000000000000000002-22-20000000000002-2-22000000002-2000000
χ542-2-222-2-2-2-22-22222-22-2-222-2-22-2-2222-2-222-22-20000000000000000000000000000002-22-2000000000000-222-200000000-22000000
χ552-2-222-2-2-2-22-22222-22-2-222-2-22-2-2222-2-22-22-22000000000000000000000000000000-22-220000000000002-2-2200000000-22000000
χ562-2-222-2-2-2-22-22222-22-2-222-2-22-2-2222-2-22-22-22000000000000000000000000000000-22-22000000000000-222-2000000002-2000000
χ572-2-22-222-2-222-2-22-222-2-22-222-2-2-2-2-222222-2-222-2-220000002-20000000000000000002-2-222-2-2222-2-2000000000000000000000000
χ582-2-22-222-2-222-2-22-222-2-22-222-2-2-2-2-222222-2-22-222-2000000-220000000000000000002-2-22-222-2-2-222000000000000000000000000
χ592-2-22-222-2-222-2-22-222-2-22-222-2-2-2-2-22222-222-22-2-22000000-22000000000000000000-222-22-2-22-2-222000000000000000000000000
χ602-2-22-222-2-222-2-22-222-2-22-222-2-2-2-2-22222-222-2-222-20000002-2000000000000000000-222-2-222-222-2-2000000000000000000000000
χ612-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-12-2-222-2-220000002-200−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-111-1-111-1-1-111000000000000000000000000
χ622-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-12-2-222-2-220000002-200i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-111-1-111-1-1-111000000000000000000000000
χ632-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-12-2-22-222-2000000-2200−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3-111-11-1-1111-1-1000000000000000000000000
χ642-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-12-2-22-222-2000000-2200i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3-111-11-1-1111-1-1000000000000000000000000
χ652-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-1-222-22-2-22000000-2200−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i31-1-11-111-111-1-1000000000000000000000000
χ662-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-1-222-22-2-22000000-2200i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i31-1-11-111-111-1-1000000000000000000000000
χ672-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-1-222-2-222-20000002-200−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i31-1-111-1-11-1-111000000000000000000000000
χ682-2-22-222-2-222-2-22-22-111-11-1-111111-1-1-1-1-222-2-222-20000002-200i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i31-1-111-1-11-1-111000000000000000000000000
χ694444444-4-4-4-44-4-4-4-4-2-2-2-2-2-2-2-222222222000000004-400000000-2-222000000000000000000000000000000000000000000000000
χ704444444-4-4-4-44-4-4-4-4-2-2-2-2-2-2-2-22222222200000000-440000000022-2-2000000000000000000000000000000000000000000000000
χ714444-4-4-4444-4-4-44-4-4-2-2-2-22222-2-222-222-244-4-4000000000000000000000000000000-2-22200000000000000000000000000000000
χ724444-4-4-4444-4-4-44-4-4-2-2-2-22222-2-222-222-2-4-44400000000000000000000000000000022-2-200000000000000000000000000000000
χ734444-4-4-4-4-4-44-44-4444444-4-4-4-4-4-444-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ744444-4-4-4-4-4-44-44-444-2-2-2-2222222-2-22-2-22000000000000000000000023−23−232300000000000000000000000000000000000000000000
χ754444-4-4-4-4-4-44-44-444-2-2-2-2222222-2-22-2-220000000000000000000000−232323−2300000000000000000000000000000000000000000000
χ7644-4-444-44-44-4-44-4-44-2-222-2-222-22-22-2-2220000000000004i−4i0000000000000000−2i−2i2i2i000000000000000000000000000000000000
χ7744-4-444-44-44-4-44-4-44-2-222-2-222-22-22-2-222000000000000−4i4i00000000000000002i2i−2i−2i000000000000000000000000000000000000
χ7844-4-444-4-44-44-4-444-444-4-444-4-4-44-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ7944-4-444-4-44-44-4-444-4-2-222-2-2222-22-222-2-2000000000000000000000000000000000000000000−2i32i3−2i32i3000000000000000000000000
χ8044-4-444-4-44-44-4-444-4-2-222-2-2222-22-222-2-20000000000000000000000000000000000000000002i3−2i32i3−2i3000000000000000000000000
χ8144-4-4-4-444-4444-4-44-4-2-22222-2-2-222-2-22-2200000000000000004i−4i00000000−2i−2i2i2i0000000000000000000000000000000000000000
χ8244-4-4-4-444-4444-4-44-4-2-22222-2-2-222-2-22-220000000000000000−4i4i000000002i2i−2i−2i0000000000000000000000000000000000000000
χ8344-4-4-4-44-44-4-4444-44-2-22222-2-22-2-222-22-2000044-4-4000000000000000000000000000000-2-2220000000000000000000000000000
χ8444-4-4-4-44-44-4-4444-44-2-22222-2-22-2-222-22-20000-4-44400000000000000000000000000000022-2-20000000000000000000000000000
χ854-44-44-444-4-4-4-4-4444-22-22-22-22-222-22-22-200004-44-4000000000000000000000000000000-22-220000000000000000000000000000
χ864-44-44-444-4-4-4-4-4444-22-22-22-22-222-22-22-20000-44-440000000000000000000000000000002-22-20000000000000000000000000000
χ874-44-44-44-4444-44-4-4-44-44-44-44-4-444-44-44-40000000000000000000000000000000000000000000000000000000000000000000000
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χ894-44-44-44-4444-44-4-4-4-22-22-22-222-2-22-22-2200000000000000000000000000−232323−230000000000000000000000000000000000000000
χ904-44-4-44-44-4-44444-4-44-44-4-44-444-44-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-4-44-44-4-44444-4-4-22-222-22-2-22-2222-2-2000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ924-44-4-44-44-4-44444-4-4-22-222-22-2-22-2222-2-20000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ934-44-4-44-4-444-44-4-4444-44-4-44-44-44-4444-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-44-4-444-44-4-444-22-222-22-22-22-2-2-22200000000000000000000000000000023−23−2323000000000000000000000000000000000000
χ954-44-4-44-4-444-44-4-444-22-222-22-22-22-2-2-222000000000000000000000000000000−232323−23000000000000000000000000000000000000
χ964-4-444-4-444-444-4-4-44-222-2-222-2-2-2222-2-2200000000004i−4i0000000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ974-4-444-4-444-444-4-4-44-222-2-222-2-2-2222-2-220000000000−4i4i00000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ984-4-444-4-4-4-44-44444-4-222-2-222-222-2-2-222-24-44-4000000000000000000000000000000-22-2200000000000000000000000000000000
χ994-4-444-4-4-4-44-44444-4-222-2-222-222-2-2-222-2-44-440000000000000000000000000000002-22-200000000000000000000000000000000
χ1004-4-44-44444-4-4-44-44-44-4-44-444-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44444-4-4-44-44-4-222-22-2-22-2-2-2-22222000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1024-4-44-44444-4-4-44-44-4-222-22-2-22-2-2-2-222220000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000

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