Finite Group Databasebeta

← Group #10830051

Character table — Group #10830051

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444444444444444444444488888888888888888888888888121212121212121224242424242424244848
order12222222344444444666666644444444441212121212121212121212121212121212121212121212122244444466661212121212121212121212121212888888884444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-11
χ11111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ12111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ13111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ14111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ15111111111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-11
χ172222222222222-2-2-2-2222222222-2-222000022222222-2-2-2-222220000000000-2-200000000-2-2-2-2-2-200000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-200002222-2-2-2-2-2-2-2-2-2-2-2-20000000000220000000022-2-22200000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-222222222222-2-20000-2-2-2-22222-2-2-2-2-2-2-2-200000000002-2000000002222-2-200000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000-2200000000-2-2222200000000000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2-2-21111-1-1-1-1-1-111111111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-2-222-2-22222-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-222-2-2111111-1-111-1-1-1-11111000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-1-1-1-11111-1-1-1-111111111111122-2-2-2-222-1-1-1-111-1-1111111-1-1-1-1000000000000000000
χ2522222222-12222-2-2-2-2-1-1-1-1-1-1-122-2-2220000-1-1-1-1-1-1-1-11111-1-1-1-1−i3−i3−i3−i3i3i3i3i300-2-20000−i3−i3i3i3111111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ2622222222-12222-2-2-2-2-1-1-1-1-1-1-122-2-2220000-1-1-1-1-1-1-1-11111-1-1-1-1i3i3i3i3−i3−i3−i3−i300-2-20000i3i3−i3−i3111111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ2722222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000-1-1-1-1111111111111−i3−i3−i3−i3i3i3i3i300220000i3i3−i3−i3-1-111-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ2822222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-20000-1-1-1-1111111111111i3i3i3i3−i3−i3−i3−i300220000−i3−i3i3i3-1-111-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ2922222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-222221111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-22-2-22211111111-1-11111-1-1-1-1000000000000000000
χ3022222222-1-2-2-2-22222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-111111111111122-2222-2-2-1-1-1-11111-1-1-1-1-1-11111000000000000000000
χ3122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000
χ3222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-22-222221111-1-11111-1-1-1-1-1-1-1-1000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-200001111-1-1-1-111111111−i3−i3−i3−i3i3i3i3i3002-20000i3i3−i3−i3-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12222-2-200001111-1-1-1-111111111i3i3i3i3−i3−i3−i3−i3002-20000−i3−i3i3i3-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222220000111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i300-220000−i3−i3i3i311-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-222220000111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i300-220000i3i3−i3−i311-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000
χ37222-2-2-22-220000-22-2222-2-2-22-20000002i2i−2i−2i0000000022-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000002i2i−2i−2i002-2000000
χ38222-2-2-22-220000-22-2222-2-2-22-20000002i2i−2i−2i0000000022-2-200002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000−2i−2i2i2i00-22000000
χ39222-2-2-22-220000-22-2222-2-2-22-2000000−2i−2i2i2i0000000022-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000002i2i−2i−2i00-22000000
χ40222-2-2-22-220000-22-2222-2-2-22-2000000−2i−2i2i2i0000000022-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−2i−2i2i2i002-2000000
χ4122-2-22-2-2222i2i−2i−2i00002-22-2-2-222i−2i002-200002i2i−2i−2i2i2i−2i−2i000022-2-2000000000000000000000000000000000022−2−2−i2i2−i2i20000−i2i22−200
χ4222-2-22-2-2222i2i−2i−2i00002-22-2-2-222i−2i002-200002i2i−2i−2i2i2i−2i−2i000022-2-20000000000000000000000000000000000−2−222i2−i2i2−i20000i2−i2−2200
χ4322-2-22-2-2222i2i−2i−2i00002-22-2-2-22−2i2i00-2200002i2i−2i−2i−2i−2i2i2i0000-2-222000000000000000000000000000000000022−2−2−i2i2−i2i20000i2−i2−2200
χ4422-2-22-2-2222i2i−2i−2i00002-22-2-2-22−2i2i00-2200002i2i−2i−2i−2i−2i2i2i0000-2-2220000000000000000000000000000000000−2−222i2−i2i2−i20000−i2i22−200
χ4522-2-22-2-222−2i−2i2i2i00002-22-2-2-222i−2i00-220000−2i−2i2i2i2i2i−2i−2i0000-2-222000000000000000000000000000000000022−2−2i2−i2i2−i20000−i2i2−2200
χ4622-2-22-2-222−2i−2i2i2i00002-22-2-2-222i−2i00-220000−2i−2i2i2i2i2i−2i−2i0000-2-2220000000000000000000000000000000000−2−222−i2i2−i2i20000i2−i22−200
χ4722-2-22-2-222−2i−2i2i2i00002-22-2-2-22−2i2i002-20000−2i−2i2i2i−2i−2i2i2i000022-2-2000000000000000000000000000000000022−2−2i2−i2i2−i20000i2−i22−200
χ4822-2-22-2-222−2i−2i2i2i00002-22-2-2-22−2i2i002-20000−2i−2i2i2i−2i−2i2i2i000022-2-20000000000000000000000000000000000−2−222−i2i2−i2i20000−i2i2−2200
χ492-2-22-2-22222-22-22-2-22-2-2-2-2222002-20000002-22-200002-22-20000000000002-200002-22-22-2002-20000002-22-2000000000000000000
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χ512-2-22-2-22222-22-2-222-2-2-2-2-222200-22002-22-22-22-20000-22-2200002-22-22-22-200002-200000000-22002-22-20000000000000000000000
χ522-2-22-2-22222-22-2-222-2-2-2-2-222200-2200-22-222-22-20000-22-220000-22-22-22-220000-2200000000-2200-22-220000000000000000000000
χ532-2-22-2-2222-22-222-2-22-2-2-2-222200-22000000-22-2200002-22-20000000000002-20000-222-22-200-22000000-22-22000000000000000000
χ542-2-22-2-2222-22-222-2-22-2-2-2-222200-22000000-22-2200002-22-2000000000000-2200002-2-22-2200-220000002-22-2000000000000000000
χ552-2-22-2-2222-22-22-222-2-2-2-2-2222002-2002-22-2-22-220000-22-2200002-22-22-22-20000-22000000002-200-22-220000000000000000000000
χ562-2-22-2-2222-22-22-222-2-2-2-2-2222002-200-22-22-22-220000-22-220000-22-22-22-2200002-2000000002-2002-22-20000000000000000000000
χ572-2-22-2-222-12-22-22-2-221111-1-1-1002-2000000-11-11−i3i3−i3i3-11-11−i3i3−i3i3−i3i3−i3i3i3−i3i3−i32-200002-2-11-11−i3i3-11−i3i3−i3i3i3−i3-11-11000000000000000000
χ582-2-22-2-222-12-22-22-2-221111-1-1-1002-2000000-11-11−i3i3−i3i3-11-11−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3-220000-221-11-1−i3i3-11−i3i3i3−i3−i3i31-11-1000000000000000000
χ592-2-22-2-222-12-22-22-2-221111-1-1-1002-2000000-11-11i3−i3i3−i3-11-11i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3-220000-221-11-1i3−i3-11i3−i3−i3i3i3−i31-11-1000000000000000000
χ602-2-22-2-222-12-22-22-2-221111-1-1-1002-2000000-11-11i3−i3i3−i3-11-11i3−i3i3−i3i3−i3i3−i3−i3i3−i3i32-200002-2-11-11i3−i3-11i3−i3i3−i3−i3i3-11-11000000000000000000
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χ632-2-22-2-222-12-22-2-222-21111-1-1-100-2200-22-22-11-11−i3i3−i3i31-11-1−i3i3−i3i31-11-11-11-10000-2200i3−i3−i3i3i3−i31-1i3−i31-11-1i3−i3−i3i3000000000000000000
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χ652-2-22-2-222-1-22-222-2-221111-1-1-100-220000001-11-1−i3i3−i3i3-11-11i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3-2200002-21-11-1i3−i31-1−i3i3i3−i3−i3i3-11-11000000000000000000
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χ722-2-22-2-222-1-22-22-222-21111-1-1-1002-200-22-221-11-1i3−i3i3−i31-11-1−i3i3−i3i31-11-11-11-100002-200i3−i3−i3i3i3−i3-11−i3i3-11-11−i3i3i3−i3000000000000000000
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χ8644-4-44-4-44-2−4i−4i4i4i0000-22-2222-24i−4i00-4400002i2i−2i−2i−2i−2i2i2i000022-2-20000000000000000000000000000000000000000000000000000
χ8744-4-44-4-44-2−4i−4i4i4i0000-22-2222-2−4i4i004-400002i2i−2i−2i2i2i−2i−2i0000-2-2220000000000000000000000000000000000000000000000000000
χ884-4444-4-4-4400000000-444-44-4-400000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ894-4444-4-4-4400000000-444-44-4-4000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ904-44-4-44-4444i−4i−4i4i0000-44-44-4-4400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ914-44-4-44-444−4i4i4i−4i0000-44-44-4-440000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ924-44-4-44-44-24i−4i−4i4i00002-22-222-20000000000−2i2i2i−2i23−23−23230000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ934-44-4-44-44-24i−4i−4i4i00002-22-222-20000000000−2i2i2i−2i−232323−2300002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ944-44-4-44-44-2−4i4i4i−4i00002-22-222-200000000002i−2i−2i2i23−23−232300002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ954-44-4-44-44-2−4i4i4i−4i00002-22-222-200000000002i−2i−2i2i−232323−230000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ964-4-4-4444-440000-4-444-4-444-44-40000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ974-4-4-4444-4-2000044-4-422-2-22-220000004i−4i−4i4i000000002-2-220000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000000000
χ984-4-4-4444-4-2000044-4-422-2-22-22000000−4i4i4i−4i000000002-2-2200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000000000
χ994-4-4-4444-4-20000-4-44422-2-22-22000000000000000000-222-2000023−23−2323−232323−2300000000000000000000000000000000000000000000
χ1004-4-4-4444-4-20000-4-44422-2-22-22000000000000000000-222-20000−232323−2323−23−232300000000000000000000000000000000000000000000
χ10188-88-88-8-8-400000000-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8888-8-8-8-4000000004-4-44-444000000000000000000000000000000000000000000000000000000000000000000000000000000

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