Finite Group Databasebeta

← Group #11872526

Character table — Group #11872526

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order122233446666663446661212121248121212121212242424242424242422244444668888121212121212121244444466121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-11-1-1-111-1-111111111-1-1-1-1-11111-1-1-1-1-111-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-11-111-1111-1-111-1-1111111-1-1-1-11-1-1-1-111111-1-1-1-1-11-1-1
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
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-11-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-11-1111-1-1-111-1-1-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-111-111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1111-1-111-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11-111-11-1-1-1-11111-11-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1111111-1-111-1-1111111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-1-1-11-1-11-11111-1-1111-1-11
χ13111111111111111-1-11111111-11-1-1-1-11111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-1111-11-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-11111-111-1
χ17222222-2-2222222200222-2-2-2-2000000-2-200000000002200-2-222000022000000-2-2220000-2-2000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2002-2220000-2-200000022-2-200002-2000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-2200-22-2-200002200000022-2-20000-22000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-2-20022-2-20000-2-2000000-2-222000022000000000000
χ2122222-1222-1-12-12-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-122020020002200-1-12-1-1-1-1-1000002-1-1-100000-1-100-1000
χ2222222-1222-1-12-12-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-1-2-20-200-2000-2-200112-1-1-1-1-100000-21110000011001000
χ2322222-1222-1-12-12-122-1-1-1-122-1-2-2-1-122-1-1-2-21111112202002000-2-200-1-1-21-1-11100000-2-1-1-10000011001000
χ2422222-1222-1-12-12-122-1-1-1-122-1-2-2-1-122-1-1-2-2111111-2-20-200-2000220011-21-1-11100000211100000-1-100-1000
χ2522222-1222-1-12-12-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111220-200-20002200112-111-1-100000-2-1-1100000-1-1001000
χ2622222-1222-1-12-12-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111-2-202002000-2-200-1-12-111-1-100000211-1000001100-1000
χ2722222-1222-1-12-12-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1220-200-2000-2-20011-211111000002-1-11000001100-1000
χ2822222-1222-1-12-12-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1-2-2020020002200-1-1-21111100000-211-100000-1-1001000
χ292222-1222-122-12-1-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-100202202-1-1002200-12-1-1-1-1000020000-1-1-1-1-100000-100
χ302222-1222-122-12-1-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-100-20-2-20-21100-2-200-12-1-1-1-10000-200001111100000100
χ312222-1222-122-12-1-122-1-1-12-1-12-2-222-1-1-1-111-2-2111100202202-1-100-2-2001-2-1-1110000-20000-1-1-11100000100
χ322222-1222-122-12-1-122-1-1-12-1-12-2-222-1-1-1-111-2-2111100-20-2-20-2110022001-2-1-111000020000111-1-100000-100
χ332222-1222-122-12-1-1-2-2-1-1-12-1-122-2-2-211-1-111-2-211110020-2-202-1-100-2-200-1211-1-1000020000-1111100000-100
χ342222-1222-122-12-1-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111100-20220-211002200-1211-1-10000-200001-1-1-1-100000100
χ352222-1222-122-12-1-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-10020-2-202-1-10022001-211110000-20000-111-1-100000100
χ362222-1222-122-12-1-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-100-20220-21100-2-2001-211110000200001-1-11100000-100
χ372-22-2222-2-2-2-222-2200-2-22-22-22000000-22000000002-2002i−2i00000000000000002i−2i2i−2i002-2002i−2i0000000000
χ382-22-2222-2-2-2-222-2200-2-22-22-22000000-22000000002-200−2i2i0000000000000000−2i2i−2i2i002-200−2i2i0000000000
χ392-22-2222-2-2-2-222-2200-2-22-22-22000000-2200000000-22002i−2i0000000000000000−2i2i−2i2i00-22002i−2i0000000000
χ402-22-2222-2-2-2-222-2200-2-22-22-22000000-2200000000-2200−2i2i00000000000000002i−2i2i−2i00-2200−2i2i0000000000
χ412-22-222-22-2-2-222-222i−2i-2-222-22-2002i−2i2i−2i2-2000000000000000000000000002i−2i002i−2i−2i2i0000000000002-20000
χ422-22-222-22-2-2-222-222i−2i-2-222-22-2002i−2i2i−2i2-2000000000000000000000000002i−2i00−2i2i2i−2i000000000000-220000
χ432-22-222-22-2-2-222-22−2i2i-2-222-22-200−2i2i−2i2i2-200000000000000000000000000−2i2i002i−2i−2i2i000000000000-220000
χ442-22-222-22-2-2-222-22−2i2i-2-222-22-200−2i2i−2i2i2-200000000000000000000000000−2i2i00−2i2i2i−2i0000000000002-20000
χ4544444-2-4-44-2-24-24-200-2-2-22-4-420000002200000000000400-40000000-2-20000000000000020000000000000
χ4644444-2-4-44-2-24-24-200-2-2-22-4-420000002200000000000-400400000002200000000000000-20000000000000
χ474444-24-4-4-244-24-2-200-2-2-2-422-400000022000000000040000-4-2-20000000000000000000002000000000000
χ484444-24-4-4-244-24-2-200-2-2-2-422-4000000220000000000-40000422000000000000000000000-2000000000000
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
χ5344-4-44400-4-44-4-44400-44-4000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ5444-4-44400-4-44-4-44400-44-40000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ5544-4-44-200-42-2-424-2002-22000000000000006−666−6−60000000000−2i22i200−2i32i300000000000000000000i2−i2000000
χ5644-4-44-200-42-2-424-2002-22000000000000006−666−6−600000000002i2−2i2002i3−2i300000000000000000000−i2i2000000
χ5744-4-44-200-42-2-424-2002-2200000000000000−66−6−6660000000000−2i22i2002i3−2i300000000000000000000i2−i2000000
χ5844-4-44-200-42-2-424-2002-2200000000000000−66−6−66600000000002i2−2i200−2i32i300000000000000000000−i2i2000000
χ594-44-44-24-4-4224-2-4-20022-224-4-20000002-2000000004-400000000000000000000000000-2200000000000000
χ604-44-44-24-4-4224-2-4-20022-224-4-20000002-200000000-44000000000000000000000000002-200000000000000
χ614-44-44-2-44-4224-2-4-24i−4i22-2-2-44200−2i2i4i−4i-2200000000000000000000000000−2i2i000000000000000000000000
χ624-44-44-2-44-4224-2-4-2−4i4i22-2-2-442002i−2i−4i4i-22000000000000000000000000002i−2i000000000000000000000000
χ634-44-4-244-42-4-4-242-20022-2-4-2240000002-20000000000004i−4i00000000000000000000000000−2i2i0000000000
χ644-44-4-244-42-4-4-242-20022-2-4-2240000002-2000000000000−4i4i000000000000000000000000002i−2i0000000000
χ654-44-4-24-442-4-4-242-24i−4i22-242-2-4004i−4i−2i2i-2200000000000000000000000000−2i2i000000000000000000000000
χ664-44-4-24-442-4-4-242-2−4i4i22-242-2-400−4i4i2i−2i-22000000000000000000000000002i−2i000000000000000000000000
χ674-44-4-2-2-44222-2-2214i−4i-1-11-22-2200−2i2i−2i2i1-100003i−3i3i−3i000000000000000000i−i3-30000000000000000000000
χ684-44-4-2-2-44222-2-2214i−4i-1-11-22-2200−2i2i−2i2i1-10000−3i3i−3i3i000000000000000000i−i-330000000000000000000000
χ694-44-4-2-2-44222-2-221−4i4i-1-11-22-22002i−2i2i−2i1-100003i−3i3i−3i000000000000000000−ii-330000000000000000000000
χ704-44-4-2-2-44222-2-221−4i4i-1-11-22-22002i−2i2i−2i1-10000−3i3i−3i3i000000000000000000−ii3-30000000000000000000000
χ714-4-44440044-4-4-4-44004-4-40000000000000000000000000000000022−220000000000000000000022−2200000000
χ724-4-44440044-4-4-4-44004-4-400000000000000000000000000000000−222200000000000000000000−222200000000
χ734-4-44-2400-24-42-42-200-222000000000000i6−i600i6−i6−i6i600000000−2i32i30022−2200000000000000000000−2200000000
χ744-4-44-2400-24-42-42-200-222000000000000i6−i600i6−i6−i6i6000000002i3−2i300−2222000000000000000000002−200000000
χ754-4-44-2400-24-42-42-200-222000000000000−i6i600−i6i6i6−i600000000−2i32i300−2222000000000000000000002−200000000
χ764-4-44-2400-24-42-42-200-222000000000000−i6i600−i6i6i6−i6000000002i3−2i30022−2200000000000000000000−2200000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-48004-884-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-444-4200-22-20000000000000026−26−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-40044-444-4200-22-200000000000000−262666−6−600000000000000000000000000000000000000000000
χ818-88-8-4-48-8444-4-44200-2-224-44-4000000-220000000000000000000000000000000000000000000000000000
χ828-8-888-4008-44-84-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4-444442002-2-20000000000002i6−2i600−i6i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-400-4-444442002-2-2000000000000−2i62i600i6−i6−i6i600000000000000000000000000000000000000000000

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