Finite Group Databasebeta

← Group #10853382

Character table — Group #10853382

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
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911111111111-1-1-1-1111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111-1-1-1-1111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111-1-1-1-1111111111-1-11111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ1211111111111-1-1-1-1111111111-1-11111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ17222222222-2-22222-2-22222222-2-200002222-2-2-2-2222222222222000000000000-200-20000-2-2-2-2-2-200000000000000000000000000
χ18222222222-2-22222-2-22222222-2-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000020020000-2-2222200000000000000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222000022-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000200-2000022-2-22200000000000000000000000000
χ20222222222-2-2-2-2-2-2-2-22222222220000-2-222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000-200200002222-2-200000000000000000000000000
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
χ2222222222-122222222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22-2-221111-1-1-1-1-1-111111111000000000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-222-222-21111-1-11111-1-1-1-1-1-1-1-1000000000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2222222-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-2-22111111-1-111-1-1-1-11111000000000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-222-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-2222-211111111-1-11111-1-1-1-1000000000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-222-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2222-1-1-1-111-1-1111111-1-1-1-1000000000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-11111-1-1-1-111111111111122222-2-2-2-1-1-1-11111-1-1-1-1-1-11111000000000000000000
χ2922222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-2000022221111-1-1-1-1-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i30000-200-2−i3−i3i3i3111111−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3022222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-2000022221111-1-1-1-1-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i30000-200-2i3i3−i3−i3111111i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3122222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-20000-2-2-2-2111111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i300002002−i3−i3i3i311-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000
χ3222222222-1-2-22222-2-2-1-1-1-1-1-1-1-2-20000-2-2-2-2111111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i300002002i3i3−i3−i311-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122000022-2-21111-1-1-1-111111111−i3−i3−i3−i3i3i3i3i30000200-2i3i3−i3−i3-1-111-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122000022-2-21111-1-1-1-111111111i3i3i3i3−i3−i3−i3−i30000200-2−i3−i3i3i3-1-111-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1220000-2-22211111111-1-1-1-11111−i3−i3−i3−i3i3i3i3i30000-2002i3i3−i3−i3-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1220000-2-22211111111-1-1-1-11111i3i3i3i3−i3−i3−i3−i30000-2002−i3−i3i3i3-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000
χ37222-22-2-2-222222-2-2-2-222-2-2-2-222-222-2-2000022-2-20000000022-2-222-2-222-2-22-20000002-22-22-2000000000000000000000000000000
χ38222-22-2-2-222222-2-2-2-222-2-2-2-222-2-2-222000022-2-20000000022-2-2-2-222-2-222-22000000-22-222-2000000000000000000000000000000
χ39222-22-2-2-2222-2-222-2-222-2-2-2-22-2222-2-2000022-2-200000000-2-22222-2-222-2-2-22000000-22-22-22000000000000000000000000000000
χ40222-22-2-2-2222-2-222-2-222-2-2-2-22-22-2-222000022-2-200000000-2-222-2-222-2-2222-20000002-22-2-22000000000000000000000000000000
χ41222-22-2-2-22-2-222-2-22222-2-2-2-22-2200000000-2-2220000000022-2-200000000002i−2i02i−2i00000-2200002i−2i2i−2i2i−2i2i−2i000000000000000000
χ42222-22-2-2-22-2-222-2-22222-2-2-2-22-2200000000-2-2220000000022-2-20000000000−2i2i0−2i2i00000-220000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ43222-22-2-2-22-2-2-2-2222222-2-2-2-222-200000000-2-22200000000-2-22200000000002i−2i0−2i2i000002-200002i−2i2i−2i−2i2i−2i2i000000000000000000
χ44222-22-2-2-22-2-2-2-2222222-2-2-2-222-200000000-2-22200000000-2-2220000000000−2i2i02i−2i000002-20000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ45222-22-2-2-2-12222-2-2-2-2-1-11111-12-222-2-20000-1-11133−3−333−3−3-1-111-1-111-1-1112-2000000-11-11-113−33−33−3−333−3−33000000000000000000
χ46222-22-2-2-2-12222-2-2-2-2-1-11111-12-222-2-20000-1-111−3−333−3−333-1-111-1-111-1-1112-2000000-11-11-11−33−33−333−3−333−3000000000000000000
χ47222-22-2-2-2-12222-2-2-2-2-1-11111-12-2-2-2220000-1-11133−3−333−3−3-1-11111-1-111-1-1-220000001-11-1-113−33−3−333−3−333−3000000000000000000
χ48222-22-2-2-2-12222-2-2-2-2-1-11111-12-2-2-2220000-1-111−3−333−3−333-1-11111-1-111-1-1-220000001-11-1-11−33−333−3−333−3−33000000000000000000
χ49222-22-2-2-2-122-2-222-2-2-1-11111-1-2222-2-20000-1-11133−3−3−3−33311-1-1-1-111-1-111-220000001-11-11-13−3−333−3−33−333−3000000000000000000
χ50222-22-2-2-2-122-2-222-2-2-1-11111-1-2222-2-20000-1-111−3−33333−3−311-1-1-1-111-1-111-220000001-11-11-1−333−3−333−33−3−33000000000000000000
χ51222-22-2-2-2-122-2-222-2-2-1-11111-1-22-2-2220000-1-11133−3−3−3−33311-1-111-1-111-1-12-2000000-11-111-13−3−33−333−33−3−33000000000000000000
χ52222-22-2-2-2-122-2-222-2-2-1-11111-1-22-2-2220000-1-111−3−33333−3−311-1-111-1-111-1-12-2000000-11-111-1−333−33−3−33−333−3000000000000000000
χ53222-22-2-2-2-1-2-222-2-222-1-11111-1-220000000011-1-133−3−333−3−3-1-111−i3−i3i3i3i3i3−i3−i3002i−2i02i−2i0−i3i3i3−i31-1−33−33−ii−ii−ii−ii000000000000000000
χ54222-22-2-2-2-1-2-222-2-222-1-11111-1-220000000011-1-133−3−333−3−3-1-111i3i3−i3−i3−i3−i3i3i300−2i2i0−2i2i0i3−i3−i3i31-1−33−33i−ii−ii−ii−i000000000000000000
χ55222-22-2-2-2-1-2-222-2-222-1-11111-1-220000000011-1-1−3−333−3−333-1-111−i3−i3i3i3i3i3−i3−i300−2i2i0−2i2i0−i3i3i3−i31-13−33−3i−ii−ii−ii−i000000000000000000
χ56222-22-2-2-2-1-2-222-2-222-1-11111-1-220000000011-1-1−3−333−3−333-1-111i3i3−i3−i3−i3−i3i3i3002i−2i02i−2i0i3−i3−i3i31-13−33−3−ii−ii−ii−ii000000000000000000
χ57222-22-2-2-2-1-2-2-2-22222-1-11111-12-20000000011-1-133−3−3−3−33311-1-1−i3−i3i3i3i3i3−i3−i3002i−2i0−2i2i0i3−i3−i3i3-11−333−3−ii−iii−ii−i000000000000000000
χ58222-22-2-2-2-1-2-2-2-22222-1-11111-12-20000000011-1-133−3−3−3−33311-1-1i3i3−i3−i3−i3−i3i3i300−2i2i02i−2i0−i3i3i3−i3-11−333−3i−ii−i−ii−ii000000000000000000
χ59222-22-2-2-2-1-2-2-2-22222-1-11111-12-20000000011-1-1−3−33333−3−311-1-1−i3−i3i3i3i3i3−i3−i300−2i2i02i−2i0i3−i3−i3i3-113−3−33i−ii−i−ii−ii000000000000000000
χ60222-22-2-2-2-1-2-2-2-22222-1-11111-12-20000000011-1-1−3−33333−3−311-1-1i3i3−i3−i3−i3−i3i3i3002i−2i0−2i2i0−i3i3i3−i3-113−3−33−ii−iii−ii−i000000000000000000
χ6122-22-22-2-222-20000-222-222-2-2-2002i−2i2i−2i00002-22-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000002i2i−2i−2i00002-200000000
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χ6422-22-22-2-222-20000-222-222-2-2-200−2i2i−2i2i00002-22-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2i−2i2i2i00002-200000000
χ6522-2-2-2-22222-200002-22-2-2-222-2002i−2i−2i2i00002-2-220000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000002i2i−2i−2i002-2000000
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χ904-444-4-4-44-2004i−4i−4i4i002-22-22-2200000000000000−232323−23−2i32i32i3−2i3−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ914-444-4-4-44-200−4i4i4i−4i002-22-22-220000000000000023−23−2323−2i32i32i3−2i32i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ924-444-4-4-44-200−4i4i4i−4i002-22-22-2200000000000000−232323−232i3−2i3−2i32i32i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ934-44-4-444-4-2004i−4i4i−4i002-2-22-2220000004-44i−4i0000-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ944-44-4-444-4-2004i−4i4i−4i002-2-22-222000000-44−4i4i00002-22-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ954-44-4-444-4-200−4i4i−4i4i002-2-22-2220000004-4−4i4i0000-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ964-44-4-444-4-200−4i4i−4i4i002-2-22-222000000-444i−4i00002-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ974-4-444-44-4400000000-4-4-444-440000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ984-4-444-44-4400000000-4-4-444-4400000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ994-4-4-444-44400000000-4-44-4-44400000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ1004-4-4-444-44400000000-4-44-4-444000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000
χ1018-8-888-88-8-400000000444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-888-88-40000000044-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000

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