Finite Group Databasebeta

← Group #11872857

Character table — Group #11872857

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666634466612121212481212121212122424242424242424222444448888121212121212121212124444446661212122424242422121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-1-1-111-1-111-1-1111111-1-1-1-11-1-111-1-11-1-111-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-1111-1-111-1-111111111-1-1-1-1-111-1-111-111-1-1-1-1-11-1-1
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
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-111-1-1111-1-1-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-1-1-11-11-1-111-1-1-111-1-11-111
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
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-11111-11-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-111-1-1111111-1-1-11111-11111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-1-1111111111-1-1-1-11-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-111-1-1-1-11-1-1-1-111111-1-1111-1-11
χ13111111111111111-1-11111111-11-1-1-1-11111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1111-11-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-1111-1-1111111111-1-1-1-1-1-11111-1-11-1-1-1-111111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-11111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-111-1
χ17222222-2-2222222200222-2-2-2-2000000-2-2000000000022-200-2000022-2-2000000-2-2220020000-20000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2200-20000-2-2-2-200000022-2-2002000020000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-22-20020000222200000022-2-200-20000-20000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-2-220020000-2-222000000-2-22200-2000020000000000
χ2122222-122-122-1-12-122-1-1-1-122-12222-1-1-1-122-1-1-1-1-1-1220220002200-1-1002-1-1-1-1-10000200-1-100-100-1-100-1000
χ2222222-122-122-1-12-122-1-1-1-122-12222-1-1-1-122-1-1-1-1-1-1-2-20-2-2000-2-20011002-1-1-1-1-10000-200110010011001000
χ2322222-122-122-1-12-122-1-1-1-122-1-2-222-1-1-1-1-2-211111122022000-2-200-1-100-21-1-1110000-200-1-100-10011001000
χ2422222-122-122-1-12-122-1-1-1-122-1-2-222-1-1-1-1-2-2111111-2-20-2-200022001100-21-1-11100002001100100-1-100-1000
χ2522222-122-122-1-12-1-2-2-1-1-1-122-12-2-2-211-1-1-2-2111111220-2-2000220011002-111-1-10000-200-1-100100-1-1001000
χ2622222-122-122-1-12-1-2-2-1-1-1-122-12-2-2-211-1-1-2-2111111-2-2022000-2-200-1-1002-111-1-100002001100-1001100-1000
χ2722222-122-122-1-12-1-2-2-1-1-1-122-1-22-2-211-1-122-1-1-1-1-1-1220-2-2000-2-2001100-2111110000200-1-1001001100-1000
χ2822222-122-122-1-12-1-2-2-1-1-1-122-1-22-2-211-1-122-1-1-1-1-1-1-2-20220002200-1-100-2111110000-2001100-100-1-1001000
χ292222-12222-1-122-1-122-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-100200222002200-1-1-12-1-1-1-1000002-100-1-10-1-100000-100
χ302222-12222-1-122-1-122-1-1-12-1-1222-1-122-1-1-1-122-1-1-1-100-200-2-2-200-2-20011-12-1-1-1-100000-21001101100000100
χ312222-12222-1-122-1-122-1-1-12-1-12-2-2-1-122-1-111-2-211110020022200-2-200-1-11-2-1-11100000-2-100-1-101100000100
χ322222-12222-1-122-1-122-1-1-12-1-12-2-2-1-122-1-111-2-2111100-200-2-2-2002200111-2-1-111000002100110-1-100000-100
χ332222-12222-1-122-1-1-2-2-1-1-12-1-122-211-2-2-1-111-2-2111100200-2-2200-2-200-1-1-1211-1-1000002-1001101100000-100
χ342222-12222-1-122-1-1-2-2-1-1-12-1-122-211-2-2-1-111-2-2111100-20022-200220011-1211-1-100000-2100-1-10-1-100000100
χ352222-12222-1-122-1-1-2-2-1-1-12-1-12-2211-2-2-1-1-1-122-1-1-1-100200-2-22002200-1-11-2111100000-2-100110-1-100000100
χ362222-12222-1-122-1-1-2-2-1-1-12-1-12-2211-2-2-1-1-1-122-1-1-1-100-20022-200-2-200111-21111000002100-1-101100000-100
χ372-2-22222-22-2-2-2-2222i−2i-22-2-22-22002i−2i2i−2i-22000000000000000000000000002i−2i002i−2i2i−2i0000000000002-20000
χ382-2-22222-22-2-2-2-2222i−2i-22-2-22-22002i−2i2i−2i-22000000000000000000000000002i−2i00−2i2i−2i2i000000000000-220000
χ392-2-22222-22-2-2-2-222−2i2i-22-2-22-2200−2i2i−2i2i-2200000000000000000000000000−2i2i002i−2i2i−2i000000000000-220000
χ402-2-22222-22-2-2-2-222−2i2i-22-2-22-2200−2i2i−2i2i-2200000000000000000000000000−2i2i00−2i2i−2i2i0000000000002-20000
χ412-2-2222-222-2-2-2-22200-22-22-22-20000002-2000000002-20002i−2i0000000000000002i−2i−2i2i0002-22i−2i00000000000
χ422-2-2222-222-2-2-2-22200-22-22-22-20000002-2000000002-2000−2i2i000000000000000−2i2i2i−2i0002-2−2i2i00000000000
χ432-2-2222-222-2-2-2-22200-22-22-22-20000002-200000000-220002i−2i000000000000000−2i2i2i−2i000-222i−2i00000000000
χ442-2-2222-222-2-2-2-22200-22-22-22-20000002-200000000-22000−2i2i0000000000000002i−2i−2i2i000-22−2i2i00000000000
χ4544444-2-4-4-244-2-24-200-2-2-22-4-4200000022000000000004-40000000-2-2000000000000000000020000000000
χ4644444-2-4-4-244-2-24-200-2-2-22-4-420000002200000000000-440000000220000000000000000000-20000000000
χ474444-24-4-44-2-244-2-200-2-2-2-422-400000022000000000040000-400000022000000000000-2000000000000000
χ484444-24-4-44-2-244-2-200-2-2-2-422-4000000220000000000-400004000000-2-20000000000002000000000000000
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
χ5344-4-44400-44-44-4-4400-4-44000000000000000000000000000000−2i22i20000000000000000000000−2i22i200000000
χ5444-4-44400-44-44-4-4400-4-440000000000000000000000000000002i2−2i200000000000000000000002i2−2i200000000
χ5544-4-4-2400-4-224-42-20022-2000000000000i6−i600i6i6−i6−i60000000000−2i22i20023−23000000000000000000i2−i200000000
χ5644-4-4-2400-4-224-42-20022-2000000000000i6−i600i6i6−i6−i600000000002i2−2i200−2323000000000000000000−i2i200000000
χ5744-4-4-2400-4-224-42-20022-2000000000000−i6i600−i6−i6i6i60000000000−2i22i200−2323000000000000000000i2−i200000000
χ5844-4-4-2400-4-224-42-20022-2000000000000−i6i600−i6−i6i6i600000000002i2−2i20023−23000000000000000000−i2i200000000
χ594-44-44400-4-44-44-44004-4-40000000000000000000000000000−2i22i200000000000000000000000000−2i22i2000000
χ604-44-44400-4-44-44-44004-4-400000000000000000000000000002i2−2i2000000000000000000000000002i2−2i2000000
χ614-44-44-2002-442-2-4-200-22200000000000000i6−i6i6−i6i6−i600000000−2i22i20023−230000000000000000000000i2−i2000000
χ624-44-44-2002-442-2-4-200-22200000000000000i6−i6i6−i6i6−i6000000002i2−2i200−23230000000000000000000000−i2i2000000
χ634-44-44-2002-442-2-4-200-22200000000000000−i6i6−i6i6−i6i600000000−2i22i200−23230000000000000000000000i2−i2000000
χ644-44-44-2002-442-2-4-200-22200000000000000−i6i6−i6i6−i6i6000000002i2−2i20023−230000000000000000000000−i2i2000000
χ654-4-444-24-4-2-4-4224-24i−4i2-2224-4-2004i−4i−2i2i2-200000000000000000000000000−2i2i000000000000000000000000
χ664-4-444-24-4-2-4-4224-2−4i4i2-2224-4-200−4i4i2i−2i2-2000000000000000000000000002i−2i000000000000000000000000
χ674-4-444-2-44-2-4-4224-2002-22-2-442000000-22000000004-4000000000000000000000000000-220000000000000
χ684-4-444-2-44-2-4-4224-2002-22-2-442000000-2200000000-440000000000000000000000000002-20000000000000
χ694-4-44-244-4422-4-4-2-24i−4i2-22-4-22400−2i2i4i−4i2-200000000000000000000000000−2i2i000000000000000000000000
χ704-4-44-244-4422-4-4-2-2−4i4i2-22-4-224002i−2i−4i4i2-2000000000000000000000000002i−2i000000000000000000000000
χ714-4-44-24-44422-4-4-2-2002-2242-2-4000000-2200000000000004i−4i000000000000000000000000−2i2i00000000000
χ724-4-44-24-44422-4-4-2-2002-2242-2-4000000-220000000000000−4i4i0000000000000000000000002i−2i00000000000
χ734-4-44-2-24-4-22222-214i−4i-11-12-22-200−2i2i−2i2i-1100003-3-33000000000000000000i−i3i−3i0000000000000000000000
χ744-4-44-2-24-4-22222-214i−4i-11-12-22-200−2i2i−2i2i-110000-333-3000000000000000000i−i−3i3i0000000000000000000000
χ754-4-44-2-24-4-22222-21−4i4i-11-12-22-2002i−2i2i−2i-1100003-3-33000000000000000000−ii−3i3i0000000000000000000000
χ764-4-44-2-24-4-22222-21−4i4i-11-12-22-2002i−2i2i−2i-110000-333-3000000000000000000−ii3i−3i0000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-88-40048-8-44-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-44-444200-2-220000000000002i6−2i600−i6−i6i6i600000000000000000000000000000000000000000000
χ8088-8-8-4-4004-44-444200-2-22000000000000−2i62i600i6i6−i6−i600000000000000000000000000000000000000000000
χ818-88-8-4800-84-4-884-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-442002-2-2000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-442002-2-200000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-4-88-44444-4200-22-2-44-440000002-20000000000000000000000000000000000000000000000000000

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