Finite Group Databasebeta

← Group #11870394

Character table — Group #11870394

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666634466612121212481212121212122424242424242424224444448888121212121212121212122244246612121212242424244461248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-111-1-111-1-1111111-1-1-1-11-1-1111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111-1-111-1-111111111-1-1-1-1-111-1-1-111-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-111-1-1-1-11-1-11-1-111-1-111111-1-11
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111-1-1-1-1-111-111-1-111-1-111-11-11
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ14111111111111111-1-11111111-11-1-1-1-111111111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-111-1
χ15111111111111111-1-11111111-11-1-1-1-11111111111-11-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111111-11-1
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-2000000-2-20000000022-2-200000000-2-2-2-2000000-2-222002200000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-2000000002-2-2200000000-2-22200000022-2-200-2200000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-200000000-222-20000000022-2-200000022-2-2002-200000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-200000000-2-222000000002222000000-2-22200-2-200000000000000
χ2122222-1222-1-12-12-122-1-1-1-12-122222-1-1-1-122-1-1-1-1-1-1202022002200-1-1002-1-1-1-1-10000200-1-1-100-1-10000-1000
χ2222222-1222-1-12-12-122-1-1-1-12-122222-1-1-1-122-1-1-1-1-1-1-20-20-2-200-2-20011002-1-1-1-1-10000-200111001100001000
χ2322222-1222-1-12-12-122-1-1-1-12-12-2-222-1-1-1-1-2-211111120202200-2-200-1-100-21-1-1110000-200-1-1-1001100001000
χ2422222-1222-1-12-12-122-1-1-1-12-12-2-222-1-1-1-1-2-2111111-20-20-2-20022001100-21-1-111000020011100-1-10000-1000
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-122-2-2-211-1-1-2-21111112020-2-200-2-200-1-1002-111-1-10000200-11100110000-1000
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-122-2-2-211-1-1-2-2111111-20-202200220011002-111-1-10000-2001-1-100-1-100001000
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-12-22-2-211-1-122-1-1-1-1-1-12020-2-2002200-1-100-2111110000-200-11100-1-100001000
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-12-22-2-211-1-122-1-1-1-1-1-1-20-202200-2-2001100-21111100002001-1-100110000-1000
χ292222-1222-122-12-1-122-1-1-12-12-122-1-122-1-1-1-122-1-1-1-102020022002200-1-1-12-1-1-1-1000002-1000-1-100-1-1000-100
χ302222-1222-122-12-1-122-1-1-12-12-122-1-122-1-1-1-122-1-1-1-10-20-200-2-200-2-20011-12-1-1-1-100000-21000110011000100
χ312222-1222-122-12-1-122-1-1-12-12-1-2-2-1-122-1-111-2-211110202002200-2-200-1-11-2-1-11100000-2-1000-1-10011000100
χ322222-1222-122-12-1-122-1-1-12-12-1-2-2-1-122-1-111-2-211110-20-200-2-2002200111-2-1-11100000210001100-1-1000-100
χ332222-1222-122-12-1-1-2-2-1-1-12-12-12-211-2-2-1-111-2-21111020200-2-200-2-200-1-1-1211-1-1000002-1000110011000-100
χ342222-1222-122-12-1-1-2-2-1-1-12-12-12-211-2-2-1-111-2-211110-20-2002200220011-1211-1-100000-21000-1-100-1-1000100
χ352222-1222-122-12-1-1-2-2-1-1-12-12-1-2211-2-2-1-1-1-122-1-1-1-1020200-2-2002200-1-11-2111100000-2-10001100-1-1000100
χ362222-1222-122-12-1-1-2-2-1-1-12-12-1-2211-2-2-1-1-1-122-1-1-1-10-20-2002200-2-200111-211110000021000-1-10011000-100
χ3722-2-2222-2-22-2-2-22200-22-2-2-2220000002-20000000000002i−2i2i−2i000000000000002-22-200002i−2i2i−2i0000000000
χ3822-2-2222-2-22-2-2-22200-22-2-2-2220000002-20000000000002i−2i−2i2i00000000000000-22-2200002i−2i−2i2i0000000000
χ3922-2-2222-2-22-2-2-22200-22-2-2-2220000002-2000000000000−2i2i2i−2i00000000000000-22-220000−2i2i2i−2i0000000000
χ4022-2-2222-2-22-2-2-22200-22-2-2-2220000002-2000000000000−2i2i−2i2i000000000000002-22-20000−2i2i−2i2i0000000000
χ4122-2-222-22-22-2-2-2222i−2i-22-222-2-2002i−2i2i−2i-22000000000000000000000000002i−2i002-2-220000000000002i−2i0000
χ4222-2-222-22-22-2-2-2222i−2i-22-222-2-2002i−2i2i−2i-22000000000000000000000000002i−2i00-222-2000000000000−2i2i0000
χ4322-2-222-22-22-2-2-222−2i2i-22-222-2-200−2i2i−2i2i-2200000000000000000000000000−2i2i002-2-22000000000000−2i2i0000
χ4422-2-222-22-22-2-2-222−2i2i-22-222-2-200−2i2i−2i2i-2200000000000000000000000000−2i2i00-222-20000000000002i−2i0000
χ4544444-2-4-44-2-24-24-200-2-2-22-42-4000000220000000040-400000000022000000000000000-200000000000000
χ4644444-2-4-44-2-24-24-200-2-2-22-42-40000002200000000-404000000000-2-2000000000000000200000000000000
χ474444-24-4-4-244-24-2-200-2-2-2-42-420000002200000000040-4000000000022000000000000-2000000000000000
χ484444-24-4-4-244-24-2-200-2-2-2-42-4200000022000000000-4040000000000-2-20000000000002000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44-24-4-4-22-424-2002-222-4-24000000-220000000000004i−4i000000000000000000000000−2i2i000000000000
χ5444-4-44-24-4-4-22-424-2002-222-4-24000000-22000000000000−4i4i0000000000000000000000002i−2i000000000000
χ5544-4-44-2-44-4-22-424-24i−4i2-22-242-4004i−4i−2i2i2-200000000000000000000000000−2i2i000000000000000000000000
χ5644-4-44-2-44-4-22-424-2−4i4i2-22-242-400−4i4i2i−2i2-2000000000000000000000000002i−2i000000000000000000000000
χ5744-4-4-244-424-42-4-2-2002-22-424-2000000-22000000000000004i−4i000000000000000000000000−2i2i0000000000
χ5844-4-4-244-424-42-4-2-2002-22-424-2000000-2200000000000000−4i4i0000000000000000000000002i−2i0000000000
χ5944-4-4-24-4424-42-4-2-24i−4i2-224-2-4200−2i2i4i−4i2-200000000000000000000000000−2i2i000000000000000000000000
χ6044-4-4-24-4424-42-4-2-2−4i4i2-224-2-42002i−2i−4i4i2-2000000000000000000000000002i−2i000000000000000000000000
χ6144-4-4-2-2-442-2222-214i−4i-11-1-2-22200−2i2i−2i2i-11000033-3-3000000000000000000i−i3i−3i0000000000000000000000
χ6244-4-4-2-2-442-2222-214i−4i-11-1-2-22200−2i2i−2i2i-110000-3-333000000000000000000i−i−3i3i0000000000000000000000
χ6344-4-4-2-2-442-2222-21−4i4i-11-1-2-222002i−2i2i−2i-11000033-3-3000000000000000000−ii−3i3i0000000000000000000000
χ6444-4-4-2-2-442-2222-21−4i4i-11-1-2-222002i−2i2i−2i-110000-3-333000000000000000000−ii3i−3i0000000000000000000000
χ654-44-444004-44-4-4-4400-4-44000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ664-44-444004-44-4-4-4400-4-440000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ674-44-4-2400-2-442-42-20022-2000000000000i6−i600i6−i6i6−i60000000000−2i22i20023−2300000000000000000000i2−i2000000
χ684-44-4-2400-2-442-42-20022-2000000000000i6−i600i6−i6i6−i600000000002i2−2i200−232300000000000000000000−i2i2000000
χ694-44-4-2400-2-442-42-20022-2000000000000−i6i600−i6i6−i6i60000000000−2i22i200−232300000000000000000000i2−i2000000
χ704-44-4-2400-2-442-42-20022-2000000000000−i6i600−i6i6−i6i600000000002i2−2i20023−2300000000000000000000−i2i2000000
χ714-4-444400-4-4-444-44004-4-40000000000000000000000000000−2i22i2000000000000000000000000−2i22i200000000
χ724-4-444400-4-4-444-44004-4-400000000000000000000000000002i2−2i20000000000000000000000002i2−2i200000000
χ734-4-444-200-4224-2-4-200-22200000000000000i6−i6i6−i6−i6i600000000−2i22i20023−2300000000000000000000i2−i200000000
χ744-4-444-200-4224-2-4-200-22200000000000000i6−i6i6−i6−i6i6000000002i2−2i200−232300000000000000000000−i2i200000000
χ754-4-444-200-4224-2-4-200-22200000000000000−i6i6−i6i6i6−i600000000−2i22i200−232300000000000000000000i2−i200000000
χ764-4-444-200-4224-2-4-200-22200000000000000−i6i6−i6i6i6−i6000000002i2−2i20023−2300000000000000000000−i2i200000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-84-4444-4200-22-244-4-40000002-20000000000000000000000000000000000000000000000000000
χ798-88-88-40084-4-84-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400-44-4444200-2-220000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000000
χ818-88-8-4-400-44-4444200-2-22000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000000
χ828-8-88-48004-8-8-484-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-442002-2-2000000000000002i6−2i6−i6i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-400444-4-442002-2-200000000000000−2i62i6i6−i6−i6i600000000000000000000000000000000000000000000

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