Finite Group Databasebeta

← Group #11799098

Character table — Group #11799098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222224444444444444444444448888888888888888888888881616161616161616161616161616161616181836363672727272144
order12233334466668866668121212121212121224242424242424242416162424242448484848484848484848484848484848266666666666612121212884488816162
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1
χ411111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111
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
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111111-1-1-1-11
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1
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
χ112222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12-1-1-10000000000
χ122222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-2-2-2111111111111-22-1-1-1-2-21111112-1-1-10000000000
χ132222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111-2-2111111-21110000000000
χ142222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1-2-2-2-21111111111112-211122-1-1-1-1-1-1-21110000000000
χ15222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-12-1-1-1-122-1-1-1-1-12-1-10000000000
χ16222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-122-2-2-12-1-11111-2-2-2-211111111-2-12-1-111-2-21111-12-1-10000000000
χ17222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-21-21111-2-211111-2110000000000
χ18222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-11111-2-2-2-21111111121-211-1-122-1-1-1-11-2110000000000
χ19222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-12-1-1-1-1-122-1-1-1-12-10000000000
χ20222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-12-111111111-2-2-2-21111-2-1-12-11111-2-211-1-12-10000000000
χ21222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-211-211111-2-21111-210000000000
χ22222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-111111111-2-2-2-21111211-21-1-1-1-122-1-111-210000000000
χ23222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-120000000000
χ24222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-12111111111111-2-2-2-2-2-1-1-12111111-2-2-1-1-120000000000
χ25222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2111-2111111-2-2111-20000000000
χ26222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12111111111111-2-2-2-22111-2-1-1-1-1-1-122111-20000000000
χ2722-222222-2222222-2-2-2-2-2-2-2-2-22222222222222-200-2-2-2-200000000000000000222200000000-2-2-2-20000000000
χ2822-222222-2222222-2-2-2-2-2-2-2-2-2222222222222-2200-2-2-2-200000000000000000-2-2-2-20000000022220000000000
χ2922-222222-22222-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-200002222000000000000000000000000000000000000002i−2i000
χ3022-222222-22222-2-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-20000222200000000000000000000000000000000000000−2i2i000
χ3122-22222-22222200-2-2-2-202222-2-2-2-200000000002−2000022−2−222−2−222−2−222−2−2000000000000000002200-2002−20
χ3222-22222-22222200-2-2-2-202222-2-2-2-200000000002−2000022−2−222−2−222−2−222−2−200000000000000000-2-200200−220
χ3322-22222-22222200-2-2-2-202222-2-2-2-20000000000−220000−2−222−2−222−2−222−2−222000000000000000002200-200−220
χ3422-22222-22222200-2-2-2-202222-2-2-2-20000000000−220000−2−222−2−222−2−222−2−22200000000000000000-2-2002002−20
χ3522-22-1-1-12-22-1-1-122-2111-2-21112-1-1-122-1-1-1-1-1-12-200-21110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i302-1-1-100−i3i3−i3i3−i3i3-21110000000000
χ3622-22-1-1-12-22-1-1-122-2111-2-21112-1-1-122-1-1-1-1-1-12-200-21110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i302-1-1-100i3−i3i3−i3i3−i3-21110000000000
χ3722-22-1-1-12-22-1-1-122-2111-2-21112-1-1-122-1-1-1-1-1-1-2200-21110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30-211100i3−i3i3−i3i3−i32-1-1-10000000000
χ3822-22-1-1-12-22-1-1-122-2111-2-21112-1-1-122-1-1-1-1-1-1-2200-21110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30-211100−i3i3−i3i3−i3i32-1-1-10000000000
χ3922-2-12-1-12-2-12-1-1221-211-21-211-12-1-1-1-122-1-1-1-12-2001-211−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i30-12-1-1−i3i300−i3i3i3−i31-2110000000000
χ4022-2-12-1-12-2-12-1-1221-211-21-211-12-1-1-1-122-1-1-1-12-2001-211i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i30-12-1-1i3−i300i3−i3−i3i31-2110000000000
χ4122-2-12-1-12-2-12-1-1221-211-21-211-12-1-1-1-122-1-1-1-1-22001-211−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i301-211i3−i300i3−i3−i3i3-12-1-10000000000
χ4222-2-12-1-12-2-12-1-1221-211-21-211-12-1-1-1-122-1-1-1-1-22001-211i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i301-211−i3i300−i3i3i3−i3-12-1-10000000000
χ4322-2-1-12-12-2-1-12-12211-21-211-21-1-12-1-1-1-1-122-1-12-20011-21−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i30-1-12-1−i3i3i3−i300−i3i311-210000000000
χ4422-2-1-12-12-2-1-12-12211-21-211-21-1-12-1-1-1-1-122-1-12-20011-21i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i30-1-12-1i3−i3−i3i300i3−i311-210000000000
χ4522-2-1-12-12-2-1-12-12211-21-211-21-1-12-1-1-1-1-122-1-1-220011-21−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3011-21i3−i3−i3i300i3−i3-1-12-10000000000
χ4622-2-1-12-12-2-1-12-12211-21-211-21-1-12-1-1-1-1-122-1-1-220011-21i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3011-21−i3i3i3−i300−i3i3-1-12-10000000000
χ4722-2-1-1-122-2-1-1-1222111-2-2111-2-1-1-12-1-1-1-1-1-1222-200111-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000-1-1-12−i3i3−i3i3i3−i300111-20000000000
χ4822-2-1-1-122-2-1-1-1222111-2-2111-2-1-1-12-1-1-1-1-1-1222-200111-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000-1-1-12i3−i3i3−i3−i3i300111-20000000000
χ4922-2-1-1-122-2-1-1-1222111-2-2111-2-1-1-12-1-1-1-1-1-122-2200111-2−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000111-2i3−i3i3−i3−i3i300-1-1-120000000000
χ5022-2-1-1-122-2-1-1-1222111-2-2111-2-1-1-12-1-1-1-1-1-122-2200111-2i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000111-2−i3i3−i3i3i3−i300-1-1-120000000000
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
χ534444-2-2-2-4-44-2-2-2004-2-2-20-4222-422200000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000
χ544444-2-2-2-4-44-2-2-2004-2-2-20-4222-422200000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000
χ55444-24-2-244-24-2-2-4-4-24-2-2-4-24-2-2-24-2-222-4-4222200002-4220000000000000000000000000000000000000000000
χ56444-24-2-2-4-4-24-2-200-24-2-202-4222-4220000000000000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000
χ57444-24-2-2-4-4-24-2-200-24-2-202-4222-4220000000000000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000
χ58444-2-24-244-2-24-2-4-4-2-24-2-4-2-24-2-2-24-22222-4-422000022-420000000000000000000000000000000000000000000
χ59444-2-24-2-4-4-2-24-200-2-24-2022-4222-420000000000000000i6−i6−i6i6−i6i6i6−i60000i6−i6−i6i6000000000000000000000000000
χ60444-2-24-2-4-4-2-24-200-2-24-2022-4222-420000000000000000−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i6000000000000000000000000000
χ61444-2-2-2444-2-2-24-4-4-2-2-24-4-2-2-24-2-2-24222222-4-40000222-40000000000000000000000000000000000000000000
χ62444-2-2-24-4-4-2-2-2400-2-2-240222-4222-40000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000
χ63444-2-2-24-4-4-2-2-2400-2-2-240222-4222-40000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000
χ6444-44-2-2-24-44-2-2-2-4-4-42224-42224-2-2-2-4-422222200004-2-2-20000000000000000000000000000000000000000000
χ6544-44-2-2-2-444-2-2-200-422204-2-2-2-4222000000000022−2200002222−22−22−2−222−2−222−2−222000000000000000000000000000
χ6644-44-2-2-2-444-2-2-200-422204-2-2-2-42220000000000−22220000−22−22222222−2−222−2−222−2−2000000000000000000000000000
χ6744-4-24-2-24-4-24-2-2-4-42-42242-422-24-2-222-4-422220000-24-2-20000000000000000000000000000000000000000000
χ6844-4-24-2-2-44-24-2-2002-4220-24-2-22-422000000000022−220000−2−2222222−22−22−2−222−2−222000000000000000000000000000
χ6944-4-24-2-2-44-24-2-2002-4220-24-2-22-4220000000000−2222000022−2−2−22−22222222−2−222−2−2000000000000000000000000000
χ7044-4-2-24-24-4-2-24-2-4-422-42422-42-2-24-22222-4-4220000-2-24-20000000000000000000000000000000000000000000
χ7144-4-2-24-2-44-2-24-20022-420-2-24-222-42000000000022−220000−2−222−2−2222222−22−22−2−222000000000000000000000000000
χ7244-4-2-24-2-44-2-24-20022-420-2-24-222-420000000000−2222000022−2−222−2−2−22−22222222−2−2000000000000000000000000000
χ7344-4-2-2-244-4-2-2-24-4-4222-44222-4-2-2-24222222-4-40000-2-2-240000000000000000000000000000000000000000000
χ7444-4-2-2-24-44-2-2-2400222-40-2-2-24222-4000000000022−220000−2−222−2−222−2−2222222−22−22000000000000000000000000000
χ7544-4-2-2-24-44-2-2-2400222-40-2-2-24222-40000000000−2222000022−2−222−2−222−2−2−22−222222000000000000000000000000000
χ764-40444400-4-4-4-422−22000000000000022−2222−2222−2222−220000000000000000000000000000000000000000022−222-2000000
χ774-40444400-4-4-4-422−22000000000000022−2222−2222−2222−2200000000000000000000000000000000000000000−2222-22000000
χ784-40444400-4-4-4-4−22220000000000000−2222−2222−2222−22220000000000000000000000000000000000000000022−22-22000000
χ794-40444400-4-4-4-4−22220000000000000−2222−2222−2222−222200000000000000000000000000000000000000000−22222-2000000
χ808-808-4-4-400-844442−42000000000000042−42−2222−2222−2222000000000000000000000000000000000000000000000000000
χ818-808-4-4-400-8444−42420000000000000−424222−2222−2222−22000000000000000000000000000000000000000000000000000
χ828-80-48-4-4004-84442−420000000000000−222242−42−2222−2222000000000000000000000000000000000000000000000000000
χ838-80-48-4-4004-844−4242000000000000022−22−424222−2222−22000000000000000000000000000000000000000000000000000
χ848-80-4-48-40044-8442−420000000000000−2222−222242−42−2222000000000000000000000000000000000000000000000000000
χ858-80-4-48-40044-84−4242000000000000022−2222−22−424222−22000000000000000000000000000000000000000000000000000
χ868-80-4-4-4800444-842−420000000000000−2222−2222−222242−42000000000000000000000000000000000000000000000000000
χ878-80-4-4-4800444-8−4242000000000000022−2222−2222−22−4242000000000000000000000000000000000000000000000000000

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