Finite Group Databasebeta

← Group #11889260

Character table — Group #11889260

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222224444444444444448888888881212121212121212121212121212161616161616161624242424242424242424242424363636363636484872
order1222334444666666236666612121212121212122466612121212448888242424242424242466661212121244488121212122424242422244412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-11
χ61111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1111111-1
χ71111111111111111111111111111111-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1
χ81111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111
χ9111111-1-111111111-11-1-1111-1-11-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-11-1-11111-1-1111-1-111-1-1
χ10111111-1-111111111-11-1-1111-1-11-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-11-1-11111-1-1-1-1-111-1-111
χ11111111-1-111111111-11-1-1111-1-11-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-11-111-1-1-1-111-1-1-111-11-11
χ12111111-1-111111111-11-1-1111-1-11-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-111-111-1-1-1-111111-1-11-11-1
χ13111111-1-111111111-11-1-1111-1-11-1-1111-11-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-11111-111-1-11-1
χ14111111-1-111111111-11-1-1111-1-11-1-1111-11-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-11-1-1-111-1-111-1-11-1-111-11
χ15111111-1-111111111-11-1-1111-1-11-1-1111-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-1111-1-111-1-1-1-11-1-11-111
χ16111111-1-111111111-11-1-1111-1-11-1-1111-11-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111-1-111-1-111-111-11-1-1
χ1722222222-2-2222222-22-2-222222-222-2-2-200-2-2-2-2-222000000000000000000000000000000000000022-2-2000
χ1822222222-2-2222222-22-2-222222-222-2-2-200-2-2-2-2-2220000000000000000000000000000000000000-2-222000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200222-2-2-2-200000000000000000000000000000000000002-22-2000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200222-2-2-2-20000000000000000000000000000000000000-22-22000
χ2122222-122222-12-12-12-122-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1220000000000002-1-1-12-1-1-120022-1-1-1-1-1-1-1-1000000000
χ2222222-122222-12-12-12-122-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-2-20000000000002-1-1-12-1-1-1-200-2-211111111000000000
χ2322222-122222-12-12-12-122-1-1-1-1-1222-1-12-2-2-1-1-1-1-1-1-122000000000000-2111-2111200-2-2-1-1-1-11111000000000
χ2422222-122222-12-12-12-122-1-1-1-1-1222-1-12-2-2-1-1-1-1-1-1-1-2-2000000000000-2111-2111-200221111-1-1-1-1000000000
χ2522222-1-2-2222-12-12-1-2-1-2-2-1-1-1112-2-2-1-122-2111-1-111220000000000002-1-1-1-2111-200-2211-1-1-1-111000000000
χ2622222-1-2-2222-12-12-1-2-1-2-2-1-1-1112-2-2-1-122-2111-1-111-2-20000000000002-1-1-1-21112002-2-1-11111-1-1000000000
χ2722222-1-2-2222-12-12-1-2-1-2-2-1-1-1112-2-2-1-12-22111-1-11122000000000000-21112-1-1-1-2002-211-1-111-1-1000000000
χ2822222-1-2-2222-12-12-1-2-1-2-2-1-1-1112-2-2-1-12-22111-1-111-2-2000000000000-21112-1-1-1200-22-1-111-1-111000000000
χ292222-122222-12-12-122-1-1-1-1-1-122-1-1-122-1222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-12-1-1-12-1-10220000000000000000-1-10
χ302222-122222-12-12-122-1-1-1-1-1-122-1-1-122-1222-1-1-1-1-1-100-2-2-2-211111111-12-1-1-12-1-10-2-20000000000000000110
χ312222-122222-12-12-122-1-1-1-1-1-122-1-1-122-1-2-22-1-1-1-1-1-1002222-1-1-1-1-1-1-1-11-2111-2110-2-20000000000000000110
χ322222-122222-12-12-122-1-1-1-1-1-122-1-1-122-1-2-22-1-1-1-1-1-100-2-2-2-2111111111-2111-2110220000000000000000-1-10
χ332222-12-2-222-12-12-12-2-111-1-1-1-2-2-11122-12-2-211-1-1110022-2-2-1-1-1-11111-12-1-11-21102-20000000000000000-110
χ342222-12-2-222-12-12-12-2-111-1-1-1-2-2-11122-12-2-211-1-11100-2-2221111-1-1-1-1-12-1-11-2110-2200000000000000001-10
χ352222-12-2-222-12-12-12-2-111-1-1-1-2-2-11122-1-22-211-1-1110022-2-2-1-1-1-111111-211-12-1-10-2200000000000000001-10
χ362222-12-2-222-12-12-12-2-111-1-1-1-2-2-11122-1-22-211-1-11100-2-2221111-1-1-1-11-211-12-1-102-20000000000000000-110
χ372-2-2222002-2-22-2-22-20200-22-2002002-2-2000002-2002i−2i2i−2i002i2i−2i−2i00000000000000000002i−2i00002-20000000
χ382-2-2222002-2-22-2-22-20200-22-2002002-2-2000002-2002i−2i−2i2i00−2i−2i2i2i00000000000000000002i−2i0000-220000000
χ392-2-2222002-2-22-2-22-20200-22-2002002-2-2000002-200−2i2i2i−2i002i2i−2i−2i0000000000000000000−2i2i0000-220000000
χ402-2-2222002-2-22-2-22-20200-22-2002002-2-2000002-200−2i2i−2i2i00−2i−2i2i2i0000000000000000000−2i2i00002-20000000
χ4144444-244-4-44-24-24-2-4-2-4-4-2-2-2-2-2-44422-40022222-2-200000000000000000000000000000000000000000000
χ4244444-2-4-4-4-44-24-24-24-244-2-2-222-4-4-422-400-2-2-2222200000000000000000000000000000000000000000000
χ434444-2444-4-4-24-24-24-4-222-2-2-2442-2-2-4-4200-42222-2-200000000000000000000000000000000000000000000
χ444444-24-4-4-4-4-24-24-244-2-2-2-2-2-2-4-4222-4-42004-2-2222200000000000000000000000000000000000000000000
χ454444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-244-211111100000000000000-2-211-2-2110000000000000000000000
χ464444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-2-4-4-21111110000000000000022-1-122-1-10000000000000000000000
χ474444-2-244-4-4-2-2-2-2-2-2-4122111-2-22-2-2222002-1-1-1-11100000000000000003-3003-30000000000000000000000
χ484444-2-244-4-4-2-2-2-2-2-2-4122111-2-22-2-2222002-1-1-1-1110000000000000000-3300-330000000000000000000000
χ494444-2-2-4-444-2-2-2-2-2-2-412211122-222-2-2-24-42-1-111-1-100000000000000-2-21122-1-10000000000000000000000
χ504444-2-2-4-444-2-2-2-2-2-2-412211122-222-2-2-2-442-1-111-1-10000000000000022-1-1-2-2110000000000000000000000
χ514444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211-1-1-1-100000000000000003-300-330000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211-1-1-1-10000000000000000-33003-30000000000000000000000
χ5344-4-44400004-4-4-4-440400-4-44000000000000000000000−2i22i20000−2i2−2i22i22i2000000000000000000000000000000
χ5444-4-44400004-4-4-4-440400-4-440000000000000000000002i2−2i200002i22i2−2i2−2i2000000000000000000000000000000
χ5544-4-4-240000-2-42-4240-2−2i32i322-200000000000−2i32i300000000−2i22i26−66−6i2i2−i2−i2000000000000000000000000000000
χ5644-4-4-240000-2-42-4240-2−2i32i322-200000000000−2i32i3000000002i2−2i2−66−66−i2−i2i2i2000000000000000000000000000000
χ5744-4-4-240000-2-42-4240-22i3−2i322-2000000000002i3−2i300000000−2i22i2−66−66i2i2−i2−i2000000000000000000000000000000
χ5844-4-4-240000-2-42-4240-22i3−2i322-2000000000002i3−2i3000000002i2−2i26−66−6−i2−i2i2i2000000000000000000000000000000
χ594-44-4444i−4i00-4-444-4-404004-4-44i−4i04i−4i00000000004i−4i00000000000000000000000000000000000000000000
χ604-44-444−4i4i00-4-444-4-404004-4-4−4i4i0−4i4i0000000000−4i4i00000000000000000000000000000000000000000000
χ614-44-44-24i−4i00-424-2-420-200-222−2i2i04i−4i0000000000−2i2i00000000000000000000000000000006−6i6−i6000000000
χ624-44-44-24i−4i00-424-2-420-200-222−2i2i04i−4i0000000000−2i2i0000000000000000000000000000000−66−i6i6000000000
χ634-44-44-2−4i4i00-424-2-420-200-2222i−2i0−4i4i00000000002i−2i00000000000000000000000000000006−6−i6i6000000000
χ644-44-44-2−4i4i00-424-2-420-200-2222i−2i0−4i4i00000000002i−2i0000000000000000000000000000000−66i6−i6000000000
χ654-44-4-244i−4i002-4-242-40-200-2224i−4i0−2i2i0000000000−2i2i000000i6−i6−i6i66−66−6000000000000000000000000000000
χ664-44-4-244i−4i002-4-242-40-200-2224i−4i0−2i2i0000000000−2i2i000000−i6i6i6−i6−66−66000000000000000000000000000000
χ674-44-4-24−4i4i002-4-242-40-200-222−4i4i02i−2i00000000002i−2i000000i6−i6−i6i6−66−66000000000000000000000000000000
χ684-44-4-24−4i4i002-4-242-40-200-222−4i4i02i−2i00000000002i−2i000000−i6i6i6−i66−66−6000000000000000000000000000000
χ694-4-444400-44-44-4-44-40400-44-400-400-44400000-440000000000000000000000000000000000000000000000
χ704-4-444-2004-4-4-2-42420-2002-2200400-22-400000-22004i−4i000000000000000000000000000−2i2i0000000000000
χ714-4-444-2004-4-4-2-42420-2002-2200400-22-400000-2200−4i4i0000000000000000000000000002i−2i0000000000000
χ724-4-444-200-44-4-2-42420-2002-2200-4002-24000002-20000000000000000000000000000023−23000000000000000
χ734-4-444-200-44-4-2-42420-2002-2200-4002-24000002-200000000000000000000000000000−2323000000000000000
χ744-4-44-24004-4242-4-2-40-2002-2200-2004-4200000-2200004i−4i00−2i−2i2i2i0000000000000000000000000000000000
χ754-4-44-24004-4242-4-2-40-2002-2200-2004-4200000-220000−4i4i002i2i−2i−2i0000000000000000000000000000000000
χ764-4-44-2400-44242-4-2-40-2002-2200200-44-2000002-2000000000000−2i32i32i3−2i3000000000000000000000000000000
χ774-4-44-2400-44242-4-2-40-2002-2200200-44-2000002-20000000000002i3−2i3−2i32i3000000000000000000000000000000
χ7888-8-88-4000084-84-8-40-40044-40000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40000-44444-402−4i34i3-2-22000000000002i3−2i3000000000000000000000000000000000000000000000000
χ8088-8-8-4-40000-44444-4024i3−4i3-2-2200000000000−2i32i3000000000000000000000000000000000000000000000000
χ818-88-8-4-48i−8i0044-4-44402002-2-2−4i4i0−4i4i00000000002i−2i00000000000000000000000000000000000000000000
χ828-88-8-4-4−8i8i0044-4-44402002-2-24i−4i04i−4i0000000000−2i2i00000000000000000000000000000000000000000000
χ838-8-88-4-4008-84-444-440200-22-200-400-444000002-20000000000000000000000000000000000000000000000
χ848-8-88-4-400-884-444-440200-22-2004004-4-400000-220000000000000000000000000000000000000000000000

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