Finite Group Databasebeta

← Group #11799737

Character table — Group #11799737

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222224444444444444444444448888888888888888888888881616161616161616161616161616161616181836363672727272144
order12233334466668866668121212121212121224242424242424248816162424242448484848484848484848484848484848412121212121212122424242424242424884482416164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1
χ411111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111
χ5111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1
χ6111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-11
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ92222222222222-2-22222-222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000022-2-2200000
χ102222222222222-2-22222-222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000-2-222-200000
χ112222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ122222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-2-2-2111111111111-2-2-211111122-1-1-1-1-1-10000000000
χ132222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-21111110000000000
χ142222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1-2-2-2-2111111111111222-1-1-1-1-1-1-2-21111110000000000
χ15222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ16222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-122-2-2-12-1-11111-2-2-2-211111111-211-2-21111-1-122-1-1-1-10000000000
χ17222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111111-2-211110000000000
χ18222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-11111-2-2-2-2111111112-1-122-1-1-1-111-2-211110000000000
χ19222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ20222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-12-111111111-2-2-2-21111-21111-2-211-1-1-1-122-1-10000000000
χ21222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2111111-2-2110000000000
χ22222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-111111111-2-2-2-211112-1-1-1-122-1-11111-2-2110000000000
χ23222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ24222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-12111111111111-2-2-2-2-2111111-2-2-1-1-1-1-1-1220000000000
χ25222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-2111111-2-20000000000
χ26222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12111111111111-2-2-2-22-1-1-1-1-1-122111111-2-20000000000
χ2722-222222-2222222-2-2-2-2-22222-2-2-2-2222222222i−2i00-2-2-2-200000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000
χ2822-222222-2222222-2-2-2-2-22222-2-2-2-222222222−2i2i00-2-2-2-20000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000
χ2922-222222-22222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000002-2000
χ3022-222222-22222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000-22000
χ3122-22222-22222200-2-2-2-20-2-2-2-222220000000000−i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000002200-200−i2i20
χ3222-22222-22222200-2-2-2-20-2-2-2-222220000000000−i2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000-2-200200i2−i20
χ3322-22222-22222200-2-2-2-20-2-2-2-222220000000000i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000002200-200i2−i20
χ3422-22222-22222200-2-2-2-20-2-2-2-222220000000000i2−i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000-2-200200−i2i20
χ3522-22-1-1-12-22-1-1-122-2111-22-1-1-1-211122-1-1-1-1-1-12i−2i00-21110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30003−33−33−32i−2i−ii−ii−ii0000000000
χ3622-22-1-1-12-22-1-1-122-2111-22-1-1-1-211122-1-1-1-1-1-12i−2i00-21110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000−33−33−332i−2i−ii−ii−ii0000000000
χ3722-22-1-1-12-22-1-1-122-2111-22-1-1-1-211122-1-1-1-1-1-1−2i2i00-21110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000−33−33−33−2i2ii−ii−ii−i0000000000
χ3822-22-1-1-12-22-1-1-122-2111-22-1-1-1-211122-1-1-1-1-1-1−2i2i00-21110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30003−33−33−3−2i2ii−ii−ii−i0000000000
χ3922-2-12-1-12-2-12-1-1221-211-2-12-1-11-211-1-122-1-1-1-12i−2i001-211−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i303−3003−3−33−ii2i−2i−ii−ii0000000000
χ4022-2-12-1-12-2-12-1-1221-211-2-12-1-11-211-1-122-1-1-1-12i−2i001-211i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i30−3300−333−3−ii2i−2i−ii−ii0000000000
χ4122-2-12-1-12-2-12-1-1221-211-2-12-1-11-211-1-122-1-1-1-1−2i2i001-211−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i30−3300−333−3i−i−2i2ii−ii−i0000000000
χ4222-2-12-1-12-2-12-1-1221-211-2-12-1-11-211-1-122-1-1-1-1−2i2i001-211i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i303−3003−3−33i−i−2i2ii−ii−i0000000000
χ4322-2-1-12-12-2-1-12-12211-21-2-1-12-111-21-1-1-1-122-1-12i−2i0011-21−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i303−3−33003−3−ii−ii2i−2i−ii0000000000
χ4422-2-1-12-12-2-1-12-12211-21-2-1-12-111-21-1-1-1-122-1-12i−2i0011-21i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i30−333−300−33−ii−ii2i−2i−ii0000000000
χ4522-2-1-12-12-2-1-12-12211-21-2-1-12-111-21-1-1-1-122-1-1−2i2i0011-21−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i30−333−300−33i−ii−i−2i2ii−i0000000000
χ4622-2-1-12-12-2-1-12-12211-21-2-1-12-111-21-1-1-1-122-1-1−2i2i0011-21i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i303−3−33003−3i−ii−i−2i2ii−i0000000000
χ4722-2-1-1-122-2-1-1-1222111-2-2-1-1-12111-2-1-1-1-1-1-1222i−2i00111-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3000003−33−3−3300−ii−ii−ii2i−2i0000000000
χ4822-2-1-1-122-2-1-1-1222111-2-2-1-1-12111-2-1-1-1-1-1-1222i−2i00111-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000−33−333−300−ii−ii−ii2i−2i0000000000
χ4922-2-1-1-122-2-1-1-1222111-2-2-1-1-12111-2-1-1-1-1-1-122−2i2i00111-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000−33−333−300i−ii−ii−i−2i2i0000000000
χ5022-2-1-1-122-2-1-1-1222111-2-2-1-1-12111-2-1-1-1-1-1-122−2i2i00111-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3000003−33−3−3300i−ii−ii−i−2i2i0000000000
χ514444444-4-444440044440-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000
χ524444-2-2-2444-2-2-2-4-44-2-2-2-44-2-2-24-2-2-2-4-42222220000-42220000000000000000000000000000000000000000000
χ534444-2-2-2-4-44-2-2-2004-2-2-20-4222-4222000000000000000000006−6−666−6−666−6−66000000000000000000000000000
χ544444-2-2-2-4-44-2-2-2004-2-2-20-4222-422200000000000000000000−666−6−666−6−666−6000000000000000000000000000
χ55444-24-2-244-24-2-2-4-4-24-2-2-4-24-2-2-24-2-222-4-4222200002-4220000000000000000000000000000000000000000000
χ56444-24-2-2-4-4-24-2-200-24-2-202-4222-42200000000000000006−6−6600006−6−66−666−6000000000000000000000000000
χ57444-24-2-2-4-4-24-2-200-24-2-202-4222-4220000000000000000−666−60000−666−66−6−66000000000000000000000000000
χ58444-2-24-244-2-24-2-4-4-2-24-2-4-2-24-2-2-24-22222-4-422000022-420000000000000000000000000000000000000000000
χ59444-2-24-2-4-4-2-24-200-2-24-2022-4222-4200000000000000006−6−66−666−600006−6−66000000000000000000000000000
χ60444-2-24-2-4-4-2-24-200-2-24-2022-4222-420000000000000000−666−66−6−660000−666−6000000000000000000000000000
χ61444-2-2-2444-2-2-24-4-4-2-2-24-4-2-2-24-2-2-24222222-4-40000222-40000000000000000000000000000000000000000000
χ62444-2-2-24-4-4-2-2-2400-2-2-240222-4222-400000000000000006−6−666−6−66−666−60000000000000000000000000000000
χ63444-2-2-24-4-4-2-2-2400-2-2-240222-4222-40000000000000000−666−6−666−66−6−660000000000000000000000000000000
χ6444-44-2-2-24-44-2-2-2-4-4-422244-2-2-2-4222-4-422222200004-2-2-20000000000000000000000000000000000000000000
χ6544-44-2-2-2-444-2-2-200-42220-42224-2-2-20000000000−2i22i20000−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000
χ6644-44-2-2-2-444-2-2-200-42220-42224-2-2-200000000002i2−2i200002i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000
χ6744-4-24-2-24-4-24-2-2-4-42-4224-24-2-22-42222-4-422220000-24-2-20000000000000000000000000000000000000000000
χ6844-4-24-2-2-44-24-2-2002-42202-422-24-2-20000000000−2i22i20000i2i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000
χ6944-4-24-2-2-44-24-2-2002-42202-422-24-2-200000000002i2−2i20000−i2−i2i2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000
χ7044-4-2-24-24-4-2-24-2-4-422-424-2-24-222-422222-4-4220000-2-24-20000000000000000000000000000000000000000000
χ7144-4-2-24-2-44-2-24-20022-42022-42-2-24-20000000000−2i22i20000i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2000000000000000000000000000
χ7244-4-2-24-2-44-2-24-20022-42022-42-2-24-200000000002i2−2i20000−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2i2i2000000000000000000000000000
χ7344-4-2-2-244-4-2-2-24-4-4222-44-2-2-24222-4222222-4-40000-2-2-240000000000000000000000000000000000000000000
χ7444-4-2-2-24-44-2-2-2400222-40222-4-2-2-240000000000−2i22i20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2000000000000000000000000000
χ7544-4-2-2-24-44-2-2-2400222-40222-4-2-2-2400000000002i2−2i20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i2000000000000000000000000000
χ764-40444400-4-4-4-4−2i22i20000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000022−222i−2i000000
χ774-40444400-4-4-4-4−2i22i20000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000−2222−2i2i000000
χ784-40444400-4-4-4-42i2−2i200000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000022−22−2i2i000000
χ794-40444400-4-4-4-42i2−2i200000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000−22222i−2i000000
χ808-808-4-4-400-8444−4i24i20000000000000−4i24i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000
χ818-808-4-4-400-84444i2−4i200000000000004i2−4i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000
χ828-80-48-4-4004-844−4i24i200000000000002i2−2i2−4i24i22i2−2i22i2−2i2000000000000000000000000000000000000000000000000000
χ838-80-48-4-4004-8444i2−4i20000000000000−2i22i24i2−4i2−2i22i2−2i22i2000000000000000000000000000000000000000000000000000
χ848-80-4-48-40044-84−4i24i200000000000002i2−2i22i2−2i2−4i24i22i2−2i2000000000000000000000000000000000000000000000000000
χ858-80-4-48-40044-844i2−4i20000000000000−2i22i2−2i22i24i2−4i2−2i22i2000000000000000000000000000000000000000000000000000
χ868-80-4-4-4800444-8−4i24i200000000000002i2−2i22i2−2i22i2−2i2−4i24i2000000000000000000000000000000000000000000000000000
χ878-80-4-4-4800444-84i2−4i20000000000000−2i22i2−2i22i2−2i22i24i2−4i2000000000000000000000000000000000000000000000000000

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