Finite Group Databasebeta

← Group #11873343

Character table — Group #11873343

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order122233446666663446661212121248121212121212242424242424242424444444888812121212121212121212444444612121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1111-1-1-1-1-111-1-111111111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-11-1-1-111111-1-111-1-1111111-1-1-1-1-11-11-1-111-1-111-1-1-11-1-1
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
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-11-111
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
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-111-1-1-1-11-11-1-1-111-1-111111-1-11
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111-1-111-1-1-1-1-11-1111-1-111-1-111-11-11
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-11111111111111-1-11-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ14111111111111111-1-11111111-11-1-1-1-111111111111-11-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-111-1
χ15111111111111111-1-11111111-11-1-1-1-11111111111-11-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111-11-1
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-2000000-2-20000000022-200-2000000-2-2-2-2000000-2-222002200000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-2000000002-2-200200000022-2-200000022-2-2002-200000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-200000000-22200-2000000-2-22200000022-2-200-2200000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-200000000-2-220020000002222000000-2-22200-2-200000000000000
χ2122222-12222-1-1-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-120222000002200-1-1-12-1-1-1-1000020-10-1-100-1-10000-1000
χ2222222-12222-1-1-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-1-20-2-2-200000-2-20011-12-1-1-1-10000-201011001100001000
χ2322222-12222-1-1-12-122-1-1-12-1-12-2-222-1-1-1-111-2-211112022200000-2-200-1-11-2-1-1110000-20-10-1-1001100001000
χ2422222-12222-1-1-12-122-1-1-12-1-12-2-222-1-1-1-111-2-21111-20-2-2-2000002200111-2-1-111000020101100-1-10000-1000
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-21111202-2-200000-2-200-1-1-1211-1-1000020-101100110000-1000
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-21111-20-22200000220011-1211-1-10000-2010-1-100-1-100001000
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-1202-2-2000002200-1-11-211110000-20-101100-1-100001000
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-1-20-22200000-2-200111-2111100002010-1-100110000-1000
χ292222-1222-1-1222-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-1020002222200-1-1002-1-1-1-1-10000020-100-1-100-1-1000-100
χ302222-1222-1-1222-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-10-2000-2-2-2-2-20011002-1-1-1-1-100000-20100110011000100
χ312222-1222-1-1222-1-122-1-1-1-122-1-2-2-1-122-1-1-2-211111102000222-2-200-1-100-21-1-11100000-20-100-1-10011000100
χ322222-1222-1-1222-1-122-1-1-1-122-1-2-2-1-122-1-1-2-21111110-2000-2-2-222001100-21-1-11100000201001100-1-1000-100
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111020002-2-2-2-200-1-1002-111-1-10000020-100110011000-100
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-21111110-2000-222220011002-111-1-100000-20100-1-100-1-1000100
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1020002-2-22200-1-100-21111100000-20-1001100-1-1000100
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-10-2000-222-2-2001100-2111110000020100-1-10011000-100
χ372-22-2222-2-2-22-2-22200-2-22-22-22000000-22000000000002i−2i02-2000000000000002i−2i2i−2i00002i−2i2-20000000000
χ382-22-2222-2-2-22-2-22200-2-22-22-22000000-22000000000002i−2i0-2200000000000000−2i2i−2i2i00002i−2i-220000000000
χ392-22-2222-2-2-22-2-22200-2-22-22-22000000-2200000000000−2i2i02-200000000000000−2i2i−2i2i0000−2i2i2-20000000000
χ402-22-2222-2-2-22-2-22200-2-22-22-22000000-2200000000000−2i2i0-22000000000000002i−2i2i−2i0000−2i2i-220000000000
χ412-22-222-22-2-22-2-2222i−2i-2-222-22-2002i−2i2i−2i2-2000000000000000000000000002i−2i002i−2i−2i2i0000000000002-20000
χ422-22-222-22-2-22-2-2222i−2i-2-222-22-2002i−2i2i−2i2-2000000000000000000000000002i−2i00−2i2i2i−2i000000000000-220000
χ432-22-222-22-2-22-2-222−2i2i-2-222-22-200−2i2i−2i2i2-200000000000000000000000000−2i2i002i−2i−2i2i000000000000-220000
χ442-22-222-22-2-22-2-222−2i2i-2-222-22-200−2i2i−2i2i2-200000000000000000000000000−2i2i00−2i2i2i−2i0000000000002-20000
χ4544444-2-4-444-2-2-24-200-2-2-2-422-4000000220000000040-40000000000022000000000000-2000000000000000
χ4644444-2-4-444-2-2-24-200-2-2-2-422-40000002200000000-40400000000000-2-20000000000002000000000000000
χ474444-24-4-4-2-2444-2-200-2-2-22-4-42000000220000000004000-400000022000000000000000-200000000000000
χ484444-24-4-4-2-2444-2-200-2-2-22-4-4200000022000000000-40004000000-2-2000000000000000200000000000000
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
χ5344-4-44400-44-4-44-4400-44-400000000000000000000000000000022−22000000000000000000000022−2200000000
χ5444-4-44400-44-4-44-4400-44-4000000000000000000000000000000−22220000000000000000000000−222200000000
χ5544-4-44-200-4422-2-4-2002-220000000000006−60066−6−6000000000022−220023−23000000000000000000−2200000000
χ5644-4-44-200-4422-2-4-2002-220000000000006−60066−6−60000000000−222200−23230000000000000000002−200000000
χ5744-4-44-200-4422-2-4-2002-22000000000000−6600−6−666000000000022−2200−2323000000000000000000−2200000000
χ5844-4-44-200-4422-2-4-2002-22000000000000−6600−6−6660000000000−22220023−230000000000000000002−200000000
χ594-44-44-24-4-4-4-2224-20022-2-4-2240000002-2000000000004i−4i0000000000000000000000000−2i2i000000000000
χ604-44-44-24-4-4-4-2224-20022-2-4-2240000002-200000000000−4i4i00000000000000000000000002i−2i000000000000
χ614-44-44-2-44-4-4-2224-24i−4i22-242-2-4004i−4i−2i2i-2200000000000000000000000000−2i2i000000000000000000000000
χ624-44-44-2-44-4-4-2224-2−4i4i22-242-2-400−4i4i2i−2i-22000000000000000000000000002i−2i000000000000000000000000
χ634-44-4-244-4224-4-4-2-20022-224-4-20000002-2000000000000004-4000000000000000000000000-220000000000
χ644-44-4-244-4224-4-4-2-20022-224-4-20000002-200000000000000-440000000000000000000000002-20000000000
χ654-44-4-24-44224-4-4-2-24i−4i22-2-2-44200−2i2i4i−4i-2200000000000000000000000000−2i2i000000000000000000000000
χ664-44-4-24-44224-4-4-2-2−4i4i22-2-2-442002i−2i−4i4i-22000000000000000000000000002i−2i000000000000000000000000
χ674-44-4-2-2-4422-222-214i−4i-1-11-22-2200−2i2i−2i2i1-100003i−3i3i−3i000000000000000000i−i3-30000000000000000000000
χ684-44-4-2-2-4422-222-214i−4i-1-11-22-2200−2i2i−2i2i1-10000−3i3i−3i3i000000000000000000i−i-330000000000000000000000
χ694-44-4-2-2-4422-222-21−4i4i-1-11-22-22002i−2i2i−2i1-100003i−3i3i−3i000000000000000000−ii-330000000000000000000000
χ704-44-4-2-2-4422-222-21−4i4i-1-11-22-22002i−2i2i−2i1-10000−3i3i−3i3i000000000000000000−ii3-30000000000000000000000
χ714-4-4444004-4-44-4-44004-4-4000000000000000000000000000022−220000000000000000000000000022−22000000
χ724-4-4444004-4-44-4-44004-4-40000000000000000000000000000−222200000000000000000000000000−2222000000
χ734-4-44-2400-22-44-42-200-22200000000000000i6−i6i6−i6−i6i60000000022−2200−2i32i30000000000000000000000−22000000
χ744-4-44-2400-22-44-42-200-22200000000000000i6−i6i6−i6−i6i600000000−2222002i3−2i300000000000000000000002−2000000
χ754-4-44-2400-22-44-42-200-22200000000000000−i6i6−i6i6i6−i60000000022−22002i3−2i30000000000000000000000−22000000
χ764-4-44-2400-22-44-42-200-22200000000000000−i6i6−i6i6i6−i600000000−222200−2i32i300000000000000000000002−2000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-48004-4-8-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-444-44200-22-200000000000026−2600−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-4004-444-44200-22-2000000000000−26260066−6−600000000000000000000000000000000000000000000
χ818-88-8-4-48-844-444-4200-2-224-44-4000000-220000000000000000000000000000000000000000000000000000
χ828-8-888-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-444-4442002-2-2000000000000002i6−2i6−i6i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-400-444-4442002-2-200000000000000−2i62i6i6−i6−i6i600000000000000000000000000000000000000000000

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