Finite Group Databasebeta

← Group #10826966

Character table — Group #10826966

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222344444444444466666661212121212121212222222446666666666661212121212121212121212122244444466661212121212121212121212122244444488888888
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
χ51111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ11111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111
χ12111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111
χ1722222222222222222-2-2-2-2222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2222222222222222-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ19222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ2122222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2322222222-122222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
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χ2522222222-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-111111111-1-1-1-11111111122-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2622222222-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ2722222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ2822222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1-1-1111111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ2922222222-1-2-2-2-222222222-1-1-1-1-1-1-111111111-2-222-2-2-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ3022222222-1-2-2-2-222222222-1-1-1-1-1-1-111111111-2-222-2-2-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
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χ3322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-11111-1-1-1-122-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
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χ3522222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ3722-22-22-2-222i2i−2i−2i2i2i−2i−2i000022-2-22-2-22i2i2i2i−2i−2i−2i−2i00002-2000000000022-2-200002i2i−2i−2i0000000000000000000000000000000000002−2−i2i2−i2i22−2
χ3822-22-22-2-222i2i−2i−2i2i2i−2i−2i000022-2-22-2-22i2i2i2i−2i−2i−2i−2i00002-2000000000022-2-200002i2i−2i−2i000000000000000000000000000000000000−22i2−i2i2−i2−22
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χ4122-22-22-2-22−2i−2i2i2i2i2i−2i−2i000022-2-22-2-2−2i−2i−2i−2i2i2i2i2i0000-220000000000-2-22200002i2i−2i−2i0000000000000000000000000000000000002−2i2−i2−i2i2−22
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χ4322-22-22-2-22−2i−2i2i2i−2i−2i2i2i000022-2-22-2-2−2i−2i−2i−2i2i2i2i2i00002-2000000000022-2-20000−2i−2i2i2i0000000000000000000000000000000000002−2i2−i2i2−i22−2
χ4422-22-22-2-22−2i−2i2i2i−2i−2i2i2i000022-2-22-2-2−2i−2i−2i−2i2i2i2i2i00002-2000000000022-2-20000−2i−2i2i2i000000000000000000000000000000000000−22−i2i2−i2i2−22
χ452-2-222-2-22200002-22-222-2-2-2-2-2-222200000000002-20000000022-2-2000022-2-22-22-2000000002-22-2000000002-22-22-22-20000000000000000
χ462-2-222-2-22200002-22-222-2-2-2-2-2-222200000000002-20000000022-2-2000022-2-22-22-200000000-22-2200000000-22-22-22-220000000000000000
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χ492-2-222-2-2220000-22-2222-2-2-2-2-2-22220000000000-2200000000-2-222000022-2-2-22-22000000002-2-22000000002-22-2-22-220000000000000000
χ502-2-222-2-2220000-22-2222-2-2-2-2-2-22220000000000-2200000000-2-222000022-2-2-22-2200000000-222-200000000-22-222-22-20000000000000000
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χ522-2-222-2-2220000-22-22-2-222-2-2-2-222200000000002-20000000022-2-20000-2-222-22-220000-222-20000-22-222-22-2000000000000000000000000
χ532-2-222-2-22-100002-22-222-2-21111-1-1-1−i3−i3i3i3−i3−i3i3i3002-20000−i3−i3i3i3-1-111−i3i3−i3i3-1-111-11-11−i3−i3i3i300002-22-2−i3i3i3−i3−i3i3i3−i3-11-11-11-110000000000000000
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χ572-2-222-2-22-100002-22-2-2-2221111-1-1-1−i3−i3i3i3−i3−i3i3i300-220000i3i3−i3−i311-1-1−i3i3−i3i311-1-1-11-11i3i3−i3−i32-22-20000-11-11-11-11−i3i3i3−i3−i3i3i3−i30000000000000000
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χ602-2-222-2-22-100002-22-2-2-2221111-1-1-1i3i3−i3−i3i3i3−i3−i300-220000−i3−i3i3i311-1-1i3−i3i3−i311-1-1-11-11−i3−i3i3i3-22-2200001-11-11-11-1−i3i3i3−i3−i3i3i3−i30000000000000000
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χ80444-4-4-4-44-2000000004-4-442-22-222-22i3−2i3−2i32i32i3−2i3−2i32i3000000002i3−2i3−2i32i300000000-222-2000000000000000000000000000000000000000000000000
χ81444-4-4-4-44-200000000-444-42-22-222-2−2i32i32i3−2i3−2i32i32i3−2i3000000002i3−2i3−2i32i3000000002-2-22000000000000000000000000000000000000000000000000
χ82444-4-4-4-44-200000000-444-42-22-222-22i3−2i3−2i32i32i3−2i3−2i32i300000000−2i32i32i3−2i3000000002-2-22000000000000000000000000000000000000000000000000
χ8344-44-44-4-4-24i4i−4i−4i4i4i−4i−4i0000-2-222-222−2i−2i−2i−2i2i2i2i2i00004-40000000000-2-2220000−2i−2i2i2i00000000000000000000000000000000000000000000
χ8444-44-44-4-4-24i4i−4i−4i−4i−4i4i4i0000-2-222-222−2i−2i−2i−2i2i2i2i2i0000-44000000000022-2-200002i2i−2i−2i00000000000000000000000000000000000000000000
χ8544-44-44-4-4-2−4i−4i4i4i4i4i−4i−4i0000-2-222-2222i2i2i2i−2i−2i−2i−2i0000-44000000000022-2-20000−2i−2i2i2i00000000000000000000000000000000000000000000
χ8644-44-44-4-4-2−4i−4i4i4i−4i−4i4i4i0000-2-222-2222i2i2i2i−2i−2i−2i−2i00004-40000000000-2-22200002i2i−2i−2i00000000000000000000000000000000000000000000
χ8744-4-44-44-44000000000000-444-4-44-4000000000000004i−4i000000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ8844-4-44-44-44000000000000-444-4-44-400000000000000−4i4i00000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ8944-4-44-44-4-20000000000002-2-222-2223−23−2323−232323−230000004i−4i0000−2i32i3−2i32i3000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ9044-4-44-44-4-20000000000002-2-222-2223−23−2323−232323−23000000−4i4i00002i3−2i32i3−2i30000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ9144-4-44-44-4-20000000000002-2-222-22−232323−2323−23−23230000004i−4i00002i3−2i32i3−2i3000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ9244-4-44-44-4-20000000000002-2-222-22−232323−2323−23−2323000000−4i4i0000−2i32i3−2i32i30000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ934-444-4-44-4400004i−4i−4i4i0000-4-4444-4-4000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000
χ944-444-4-44-440000−4i4i4i−4i0000-4-4444-4-400000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000
χ954-444-4-44-4-200004i−4i−4i4i000022-2-2-2222323−23−23−23−2323230000000000000000−2i32i32i3−2i30000−2i2i2i−2i00000000000000000000000000000000000000000000
χ964-444-4-44-4-200004i−4i−4i4i000022-2-2-222−23−2323232323−23−2300000000000000002i3−2i3−2i32i30000−2i2i2i−2i00000000000000000000000000000000000000000000
χ974-444-4-44-4-20000−4i4i4i−4i000022-2-2-2222323−23−23−23−23232300000000000000002i3−2i3−2i32i300002i−2i−2i2i00000000000000000000000000000000000000000000
χ984-444-4-44-4-20000−4i4i4i−4i000022-2-2-222−23−2323232323−23−230000000000000000−2i32i32i3−2i300002i−2i−2i2i00000000000000000000000000000000000000000000
χ994-44-444-4-444i−4i−4i4i000000004-4-44-44-44i−4i4i−4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-444-4-44−4i4i4i−4i000000004-4-44-44-4−4i4i−4i4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-44-444-4-4-24i−4i−4i4i00000000-222-22-22−2i2i−2i2i2i−2i2i−2i000000000000−2i32i32i3−2i300000000000023−23−23230000000000000000000000000000000000000000
χ1024-44-444-4-4-24i−4i−4i4i00000000-222-22-22−2i2i−2i2i2i−2i2i−2i0000000000002i3−2i3−2i32i3000000000000−232323−230000000000000000000000000000000000000000
χ1034-44-444-4-4-2−4i4i4i−4i00000000-222-22-222i−2i2i−2i−2i2i−2i2i000000000000−2i32i32i3−2i3000000000000−232323−230000000000000000000000000000000000000000
χ1044-44-444-4-4-2−4i4i4i−4i00000000-222-22-222i−2i2i−2i−2i2i−2i2i0000000000002i3−2i3−2i32i300000000000023−23−23230000000000000000000000000000000000000000
χ1054-4-4-4-4444-24-44-400004-44-4-22-2222-2-22-22-22-224-4000000-22-2200000000-22-22000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444-24-44-40000-44-44-22-2222-2-22-22-22-22-440000002-22-2000000002-22-2000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-2-44-4400004-44-4-22-2222-22-22-22-22-2-440000002-22-200000000-22-22000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-2-44-440000-44-44-22-2222-22-22-22-22-24-4000000-22-22000000002-22-2000000000000000000000000000000000000000000000000

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