Finite Group Databasebeta

← Group #10826959

Character table — Group #10826959

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666666666666622224444666666661212121212121212121212121212121244444444121212121212121212121212121212122244444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ1511111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-1-1
χ1611111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-111
χ1722222222222222222-2-2-2-2222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ22222222222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ23222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222222-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222222-2-2-2-222222-2-2-2-222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2922222222-2-2-2-2-122222222-1-1-1-1-111111111-1-122-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ3022222222-2-2-2-2-122222222-1-1-1-1-111111111-1-122-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-111111111-1-1-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-111111111-1-1-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3322222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ3422222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111111111-1-1-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-111111111-1-122-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-2-2-2-2-1-1-1-1-111111111-1-122-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3722-2-222-2-222-2-222i2i−2i−2i000022-2-2-22222-2-2-2-22-20000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002−22−2−i2i2−i2i2
χ3822-2-222-2-222-2-222i2i−2i−2i000022-2-2-22222-2-2-2-22-20000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000−22−22i2−i2i2−i2
χ3922-2-222-2-222-2-22−2i−2i2i2i000022-2-2-22222-2-2-2-22-2000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000002−22−2i2−i2i2−i2
χ4022-2-222-2-222-2-22−2i−2i2i2i000022-2-2-22222-2-2-2-22-2000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000−22−22−i2i2−i2i2
χ4122-2-222-2-2-2-22222i2i−2i−2i000022-2-2-2-2-2-2-222222-2000000−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000002−2−22−i2i2i2−i2
χ4222-2-222-2-2-2-22222i2i−2i−2i000022-2-2-2-2-2-2-222222-2000000−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000−222−2i2−i2−i2i2
χ4322-2-222-2-2-2-2222−2i−2i2i2i000022-2-2-2-2-2-2-222222-20000002i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002−2−22i2−i2−i2i2
χ4422-2-222-2-2-2-2222−2i−2i2i2i000022-2-2-2-2-2-2-222222-20000002i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000−222−2−i2i2i2−i2
χ452-22-22-2-22000022-22-222-2-2-2-22-2-200000000222-200000022-2-2000022-2-200002-22-20000002-2002-200002-22-200002-22-20000000000000000
χ462-22-22-2-22000022-22-222-2-2-2-22-2-200000000222-200000022-2-2000022-2-200002-22-2000000-2200-220000-22-220000-22-220000000000000000
χ472-22-22-2-22000022-22-2-2-222-2-22-2-20000000022-22000000-2-2220000-2-22200002-22-200002-2002-2002-22-200002-22-200000000000000000000
χ482-22-22-2-22000022-22-2-2-222-2-22-2-20000000022-22000000-2-2220000-2-22200002-22-20000-2200-2200-22-220000-22-2200000000000000000000
χ492-22-22-2-2200002-22-2222-2-2-2-22-2-20000000022-22000000-2-222000022-2-20000-22-220000002-200-2200002-22-20000-22-220000000000000000
χ502-22-22-2-2200002-22-2222-2-2-2-22-2-20000000022-22000000-2-222000022-2-20000-22-22000000-22002-20000-22-2200002-22-20000000000000000
χ512-22-22-2-2200002-22-22-2-222-2-22-2-200000000222-200000022-2-20000-2-2220000-22-2200002-200-22002-22-20000-22-2200000000000000000000
χ522-22-22-2-2200002-22-22-2-222-2-22-2-200000000222-200000022-2-20000-2-2220000-22-220000-22002-200-22-2200002-22-200000000000000000000
χ532-22-22-2-220000-12-22-222-2-211-111−i3−i3i3i3−i3−i3i3i3-1-12-2000000-1-111−i3−i3i3i3-1-111−i3−i3i3i3-11-11−i3i3−i3i3002-2002-2−i3i3i3−i3-11-11−i3i3i3−i3-11-110000000000000000
χ542-22-22-2-220000-12-22-222-2-211-111−i3−i3i3i3−i3−i3i3i3-1-12-2000000-1-111−i3−i3i3i3-1-111−i3−i3i3i3-11-11−i3i3−i3i300-2200-22i3−i3−i3i31-11-1i3−i3−i3i31-11-10000000000000000
χ552-22-22-2-220000-12-22-222-2-211-111i3i3−i3−i3i3i3−i3−i3-1-12-2000000-1-111i3i3−i3−i3-1-111i3i3−i3−i3-11-11i3−i3i3−i3002-2002-2i3−i3−i3i3-11-11i3−i3−i3i3-11-110000000000000000
χ562-22-22-2-220000-12-22-222-2-211-111i3i3−i3−i3i3i3−i3−i3-1-12-2000000-1-111i3i3−i3−i3-1-111i3i3−i3−i3-11-11i3−i3i3−i300-2200-22−i3i3i3−i31-11-1−i3i3i3−i31-11-10000000000000000
χ572-22-22-2-220000-12-22-2-2-22211-111−i3−i3i3i3−i3−i3i3i3-1-1-2200000011-1-1i3i3−i3−i311-1-1i3i3−i3−i3-11-11−i3i3−i3i32-2002-200-11-11−i3i3i3−i3-11-11−i3i3i3−i30000000000000000
χ582-22-22-2-220000-12-22-2-2-22211-111−i3−i3i3i3−i3−i3i3i3-1-1-2200000011-1-1i3i3−i3−i311-1-1i3i3−i3−i3-11-11−i3i3−i3i3-2200-22001-11-1i3−i3−i3i31-11-1i3−i3−i3i30000000000000000
χ592-22-22-2-220000-12-22-2-2-22211-111i3i3−i3−i3i3i3−i3−i3-1-1-2200000011-1-1−i3−i3i3i311-1-1−i3−i3i3i3-11-11i3−i3i3−i32-2002-200-11-11i3−i3−i3i3-11-11i3−i3−i3i30000000000000000
χ602-22-22-2-220000-12-22-2-2-22211-111i3i3−i3−i3i3i3−i3−i3-1-1-2200000011-1-1−i3−i3i3i311-1-1−i3−i3i3i3-11-11i3−i3i3−i3-2200-22001-11-1−i3i3i3−i31-11-1−i3i3i3−i30000000000000000
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χ622-22-22-2-220000-1-22-2222-2-211-111−i3−i3i3i3−i3−i3i3i3-1-1-2200000011-1-1i3i3−i3−i3-1-111−i3−i3i3i31-11-1i3−i3i3−i300-22002-2i3−i3−i3i31-11-1−i3i3i3−i3-11-110000000000000000
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χ82444-4-4-44-40000-2000000002-2-2-222i3−2i3−2i32i3−2i32i32i3−2i32200-440000−2i32i3−2i32i32-22-200000000000000000000000000000000000000000000000000000000
χ8344-44-4-4-440000400004-4-44-44-4-4400000000-4400000000000000004-4-440000000000000000000000000000000000000000000000000000
χ8444-44-4-4-44000040000-444-4-44-4-4400000000-440000000000000000-444-40000000000000000000000000000000000000000000000000000
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χ8644-44-4-4-440000-200004-4-442-222-22i3−2i3−2i32i32i3−2i3−2i32i32-20000000000000000-222-22i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ8744-44-4-4-440000-20000-444-42-222-2−2i32i32i3−2i3−2i32i32i3−2i32-200000000000000002-2-222i3−2i3−2i32i3000000000000000000000000000000000000000000000000
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χ8944-4-444-4-444-4-4-24i4i−4i−4i0000-2-2222-2-2-2-22222-220000004i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ9044-4-444-4-444-4-4-2−4i−4i4i4i0000-2-2222-2-2-2-22222-22000000−4i4i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ9144-4-444-4-4-4-444-24i4i−4i−4i0000-2-22222222-2-2-2-2-22000000−4i4i0000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ9244-4-444-4-4-4-444-2−4i−4i4i4i0000-2-22222222-2-2-2-2-220000004i−4i00000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
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χ954-444-44-4-44-4-44-200000000-22-22-2-22-222-22-222000000002i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ964-444-44-4-4-444-44000000004-44-44-44-444-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ974-444-44-4-4-444-4-200000000-22-22-22-22-2-22-222200000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000
χ984-444-44-4-4-444-4-200000000-22-22-22-22-2-22-2222000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000
χ994-4-444-44-4000044i−4i−4i4i0000-4-4-444000000004-40000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ1004-4-444-44-400004−4i4i4i−4i0000-4-4-444000000004-4000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ1014-4-444-44-40000-24i−4i−4i4i0000222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-22000000000000000000000000−2i2i2i−2i23−23−23230000000000000000000000000000000000000000
χ1024-4-444-44-40000-24i−4i−4i4i0000222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-22000000000000000000000000−2i2i2i−2i−232323−230000000000000000000000000000000000000000
χ1034-4-444-44-40000-2−4i4i4i−4i0000222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-220000000000000000000000002i−2i−2i2i−232323−230000000000000000000000000000000000000000
χ1044-4-444-44-40000-2−4i4i4i−4i0000222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-220000000000000000000000002i−2i−2i2i23−23−23230000000000000000000000000000000000000000
χ1054-4-4-4-44444-44-4-200004-44-4-222-22-22-22-22-222-200004-40000000000-22-22-22-22000000000000000000000000000000000000000000000000
χ1064-4-4-4-44444-44-4-20000-44-44-222-22-22-22-22-222-20000-4400000000002-22-22-22-2000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-44-44-200004-44-4-222-222-22-22-22-22-20000-440000000000-22-222-22-2000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-44-44-20000-44-44-222-222-22-22-22-22-200004-400000000002-22-2-22-22000000000000000000000000000000000000000000000000

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