Finite Group Databasebeta

← Group #10693899

Character table — Group #10693899

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order12224444223444444666121212124466888888881212121212121212121224242424242424242424242424242424888824242424242424248888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−ii−ii−iii−i−i11-1-111-1-1
χ101111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i−ii−ii−i−iii-1-111-1-111
χ111111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iiii−ii−iii−i−i-1-111-1-111
χ121111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii−i−iii11-1-111-1-1
χ131111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iiii−ii−i−i−iii11-1-1-1-111
χ141111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii−ii−iiii−i−i-1-11111-1-1
χ151111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−ii−ii−i−i−iii-1-11111-1-1
χ161111-1-1-1-1-1-1111-1-111111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i−ii−iiii−i−i11-1-1-1-111
χ1722222222222-2-2-2-2222222222-2-2220000000022-2-2-2-2-2-2-2-2000000000000000000000000000022-2-2000000000000
χ1822222222222-2-2-2-2222222222-2-2220000000022-2-2-2-2-2-2-2-20000000000000000000000000000-2-222000000000000
χ192222222222-1222222-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ202222222222-1222222-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ212222222222-1222222-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-1-1-1-111110000000000000000
χ222222222222-1222222-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-10000000000000000
χ2322222222-2-222222-2-22222222-2-2-2-222-2-222-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ2422222222-2-222222-2-22222222-2-2-2-2-2-222-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ2522222222-2-22-2-2-2-2-2-2222222222-2-200000000-2-222-2-222-2-2000000000000000000000000000000002i−2i2i−2i00000000
χ2622222222-2-22-2-2-2-2-2-2222222222-2-200000000-2-222-2-222-2-200000000000000000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-12222-2-2-1-1-1-1-1-1-1-2-21122-2-222-2-21111-1-111-1-1-1-1-1-11111-1-1-1-111110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2822222222-2-2-12222-2-2-1-1-1-1-1-1-1-2-21122-2-222-2-21111-1-111-1-1-1-1-1-11111-1-1-1-111110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2922222222-2-2-12222-2-2-1-1-1-1-1-1-1-2-211-2-222-2-2221111-1-111-1-11111-1-1-1-11111-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
χ3022222222-2-2-12222-2-2-1-1-1-1-1-1-1-2-211-2-222-2-2221111-1-111-1-11111-1-1-1-11111-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000000000
χ312222-2-2-2-222222-2-2-2-2222-2-2-2-2-222222-2-2-2-222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ322222-2-2-2-222222-2-2-2-2222-2-2-2-2-2222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ332222-2-2-2-2222-2-222-2-2222-2-2-2-22-22200000000-2-22222-2-2-2-2000000000000000000000000000000002-2-2200000000
χ342222-2-2-2-2222-2-222-2-2222-2-2-2-22-22200000000-2-22222-2-2-2-200000000000000000000000000000000-222-200000000
χ352222-2-2-2-222-122-2-2-2-2-1-1-11111-22-1-122-2-2-2-222111111-1-1-1-1-1-1-1-111111111-1-1-1-100003−3−333−3−330000000000000000
χ362222-2-2-2-222-122-2-2-2-2-1-1-11111-22-1-122-2-2-2-222111111-1-1-1-1-1-1-1-111111111-1-1-1-10000−333−3−333−30000000000000000
χ372222-2-2-2-222-122-2-2-2-2-1-1-11111-22-1-1-2-22222-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-1111100003−3−33−333−30000000000000000
χ382222-2-2-2-222-122-2-2-2-2-1-1-11111-22-1-1-2-22222-2-2111111-1-1-1-11111-1-1-1-1-1-1-1-111110000−333−33−3−330000000000000000
χ392222-2-2-2-2-2-22-2-22222222-2-2-2-2-22-2-20000000022-2-22222-2-200000000000000000000000000002i−2i−2i2i000000000000
χ402222-2-2-2-2-2-22-2-22222222-2-2-2-2-22-2-20000000022-2-22222-2-20000000000000000000000000000−2i2i2i−2i000000000000
χ412222-2-2-2-2-2-2-122-2-222-1-1-111112-2112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111112i−2i2i−2i−i−iii−i−iii0000000000000000
χ422222-2-2-2-2-2-2-122-2-222-1-1-111112-2112222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−2i2i−2i2iii−i−iii−i−i0000000000000000
χ432222-2-2-2-2-2-2-122-2-222-1-1-111112-211-2-2-2-22222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-12i−2i−2i2i−i−iiiii−i−i0000000000000000
χ442222-2-2-2-2-2-2-122-2-222-1-1-111112-211-2-2-2-22222-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−2i2i2i−2iii−i−i−i−iii0000000000000000
χ4522-2-22i−2i2i−2i0022-22i−2i002-2-22i−2i2i−2i0000002i−2i002-200002i−2i002-200002i2i−2i−2i000022-2-2000000000000000000002−2−i2i2−i2i22−2
χ4622-2-22i−2i2i−2i0022-22i−2i002-2-22i−2i2i−2i0000002i−2i002-200002i−2i002-200002i2i−2i−2i000022-2-200000000000000000000−22i2−i2i2−i2−22
χ4722-2-22i−2i2i−2i0022-22i−2i002-2-22i−2i2i−2i000000−2i2i00-2200002i−2i002-20000−2i−2i2i2i0000-2-222000000000000000000002−2−i2i2i2−i2−22
χ4822-2-22i−2i2i−2i0022-22i−2i002-2-22i−2i2i−2i000000−2i2i00-2200002i−2i002-20000−2i−2i2i2i0000-2-22200000000000000000000−22i2−i2−i2i22−2
χ4922-2-2−2i2i−2i2i0022-2−2i2i002-2-2−2i2i−2i2i0000002i−2i00-220000−2i2i002-200002i2i−2i−2i0000-2-222000000000000000000002−2i2−i2−i2i2−22
χ5022-2-2−2i2i−2i2i0022-2−2i2i002-2-2−2i2i−2i2i0000002i−2i00-220000−2i2i002-200002i2i−2i−2i0000-2-22200000000000000000000−22−i2i2i2−i22−2
χ5122-2-2−2i2i−2i2i0022-2−2i2i002-2-2−2i2i−2i2i000000−2i2i002-20000−2i2i002-20000−2i−2i2i2i000022-2-2000000000000000000002−2i2−i2i2−i22−2
χ5222-2-2−2i2i−2i2i0022-2−2i2i002-2-2−2i2i−2i2i000000−2i2i002-20000−2i2i002-20000−2i−2i2i2i000022-2-200000000000000000000−22−i2i2−i2i2−22
χ534444444444-2-4-4-4-444-2-2-2-2-2-2-2-4-4-2-200000000-2-22222222200000000000000000000000000000000000000000000
χ5444444444-4-4-2-4-4-4-4-4-4-2-2-2-2-2-2-244220000000022-2-222-2-22200000000000000000000000000000000000000000000
χ554444-4-4-4-444-2-4-444-4-4-2-2-222224-4-2-20000000022-2-2-2-2222200000000000000000000000000000000000000000000
χ564444-4-4-4-4-4-4-2-4-44444-2-2-22222-442200000000-2-222-2-2-2-22200000000000000000000000000000000000000000000
χ5744-4-44i−4i4i−4i004-44−4i4i004-4-44i−4i4i−4i0000000000000000−4i4i00-4400000000000000000000000000000000000000000000
χ5844-4-44i−4i4i−4i00-24-44i−4i00-222−2i2i−2i2i0000004i−4i004-40000−2i2i00-220000−2i−2i2i2i0000-2-2220000000000000000000000000000
χ5944-4-44i−4i4i−4i00-24-44i−4i00-222−2i2i−2i2i000000−4i4i00-440000−2i2i00-2200002i2i−2i−2i000022-2-20000000000000000000000000000
χ6044-4-44i−4i4i−4i00-2-44−4i4i00-222−2i2i−2i2i00000000000000002i−2i002-22323−23−230000−2i3−2i32i32i300000000000000000000000000000000
χ6144-4-44i−4i4i−4i00-2-44−4i4i00-222−2i2i−2i2i00000000000000002i−2i002-2−23−23232300002i32i3−2i3−2i300000000000000000000000000000000
χ6244-4-4−4i4i−4i4i004-444i−4i004-4-4−4i4i−4i4i00000000000000004i−4i00-4400000000000000000000000000000000000000000000
χ6344-4-4−4i4i−4i4i00-24-4−4i4i00-2222i−2i2i−2i0000004i−4i00-4400002i−2i00-220000−2i−2i2i2i000022-2-20000000000000000000000000000
χ6444-4-4−4i4i−4i4i00-24-4−4i4i00-2222i−2i2i−2i000000−4i4i004-400002i−2i00-2200002i2i−2i−2i0000-2-2220000000000000000000000000000
χ6544-4-4−4i4i−4i4i00-2-444i−4i00-2222i−2i2i−2i0000000000000000−2i2i002-22323−23−2300002i32i3−2i3−2i300000000000000000000000000000000
χ6644-4-4−4i4i−4i4i00-2-444i−4i00-2222i−2i2i−2i0000000000000000−2i2i002-2−23−2323230000−2i3−2i32i32i300000000000000000000000000000000
χ674-44-444-4-44-4400004-4-44-444-4-4004-4000000004-40000000000000000000000000000000000000000000000000000
χ684-44-444-4-44-4-200004-42-22-2-22200-2200000000-2200000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i60000000000000000000000000000
χ694-44-444-4-44-4-200004-42-22-2-22200-2200000000-2200000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i60000000000000000000000000000
χ704-44-444-4-4-4440000-44-44-444-4-400-4400000000-440000000000000000000000000000000000000000000000000000
χ714-44-444-4-4-44-20000-442-22-2-222002-2000000002-200000000i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i60000000000000000000000000000
χ724-44-444-4-4-44-20000-442-22-2-222002-2000000002-200000000−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i60000000000000000000000000000
χ734-44-4-4-4444-440000-44-44-4-4-444004-400000000-440000000000000000000000000000000000000000000000000000
χ744-44-4-4-4444-4-20000-442-2222-2-200-22000000002-200000000i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i60000000000000000000000000000
χ754-44-4-4-4444-4-20000-442-2222-2-200-22000000002-200000000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i60000000000000000000000000000
χ764-44-4-4-444-44400004-4-44-4-4-44400-44000000004-40000000000000000000000000000000000000000000000000000
χ774-44-4-4-444-44-200004-42-2222-2-2002-200000000-2200000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i60000000000000000000000000000
χ784-44-4-4-444-44-200004-42-2222-2-2002-200000000-2200000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i60000000000000000000000000000
χ794-4-444i−4i−4i4i004000000-4-444i−4i−4i4i0000−2i22i20022−22000000000000−2i22i22i2−2i20000−222222−2200000000000000000000000000000000
χ804-4-444i−4i−4i4i004000000-4-444i−4i−4i4i00002i2−2i200−22220000000000002i2−2i2−2i22i2000022−22−222200000000000000000000000000000000
χ814-4-444i−4i−4i4i00-200000022-2−2i2i2i−2i0000−2i22i20022−220000−2i32i30023−2300i2−i2−i2i26−6−662−2−22−i6i6i6−i60000000000000000000000000000
χ824-4-444i−4i−4i4i00-200000022-2−2i2i2i−2i0000−2i22i20022−2200002i3−2i300−232300i2−i2−i2i2−666−62−2−22i6−i6−i6i60000000000000000000000000000
χ834-4-444i−4i−4i4i00-200000022-2−2i2i2i−2i00002i2−2i200−22220000−2i32i30023−2300−i2i2i2−i2−666−6−222−2i6−i6−i6i60000000000000000000000000000
χ844-4-444i−4i−4i4i00-200000022-2−2i2i2i−2i00002i2−2i200−222200002i3−2i300−232300−i2i2i2−i26−6−66−222−2−i6i6i6−i60000000000000000000000000000
χ854-4-44−4i4i4i−4i004000000-4-44−4i4i4i−4i0000−2i22i200−2222000000000000−2i22i22i2−2i2000022−22−222200000000000000000000000000000000
χ864-4-44−4i4i4i−4i004000000-4-44−4i4i4i−4i00002i2−2i20022−220000000000002i2−2i2−2i22i20000−222222−2200000000000000000000000000000000
χ874-4-44−4i4i4i−4i00-200000022-22i−2i−2i2i0000−2i22i200−22220000−2i32i300−232300i2−i2−i2i26−6−66−222−2i6−i6−i6i60000000000000000000000000000
χ884-4-44−4i4i4i−4i00-200000022-22i−2i−2i2i0000−2i22i200−222200002i3−2i30023−2300i2−i2−i2i2−666−6−222−2−i6i6i6−i60000000000000000000000000000
χ894-4-44−4i4i4i−4i00-200000022-22i−2i−2i2i00002i2−2i20022−220000−2i32i300−232300−i2i2i2−i2−666−62−2−22−i6i6i6−i60000000000000000000000000000
χ904-4-44−4i4i4i−4i00-200000022-22i−2i−2i2i00002i2−2i20022−2200002i3−2i30023−2300−i2i2i2−i26−6−662−2−22i6−i6−i6i60000000000000000000000000000

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