Finite Group Databasebeta

← Group #11889245

Character table — Group #11889245

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order1222334444666666234466612121212121212121212121212121212466661212121212121212121212121212121224441212121224446881212121212242424242288886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111-1-111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1111
χ6111111111111111111-1-111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ7111111111111111111-1-111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ8111111111111111111-1-111111-1-1-1-11111111111-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-11111111111-1-1-1-1-1-11
χ9111111-1-111111111-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-111-1-11-11-111-1-111-1-11111-1-11-1-1
χ10111111-1-111111111-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-1-111-111-1-111-1-1-1-111-1-1-1-111-111
χ11111111-1-111111111-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-1111-1-11-1-111-1-11111-1-1-1-1-1-1111-11
χ12111111-1-111111111-1111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1-111-1-111-11-11-1-111-1-1111111-1-1-11-1
χ13111111-1-111111111-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-11-1-1111-1-1-1-111-1-11111-1-1111-1-1
χ14111111-1-111111111-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-1-1-1111-11-1-1-11111-1-1-1-111-1-1-111
χ15111111-1-111111111-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-111-1-1-11111-1-1-11-1111-1-1-1-111-1-111-1-11-11
χ16111111-1-111111111-11-1-1111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-111-1-1-111-111-1-1-11111-1-111-1-111-1-111-11-1
χ1722222222-2-2222222-2200222220000-2-2222222-2-20-2-2-2-2000000-2-20000000022-2-2-2-2-2-20000200200000000000000000
χ1822222222-2-2222222-2200222220000-2-2222222-2-20-2-2-2-2000000-2-200000000-2-22222220000-200-200000000000000000
χ19222222-2-2-2-22222222200222-2-20000-2-2-2-2-2-2-2-2-2-202222000000-2-2000000002-22-2-2-2220000200-200000000000000000
χ20222222-2-2-2-22222222200222-2-20000-2-2-2-2-2-2-2-2-2-202222000000-2-200000000-22-2222-2-20000-200200000000000000000
χ2122222-12222-1-12-1222-122-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000202002200000-1-1-1-1000000-1-10
χ2222222-12222-1-12-1222-122-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000-20-200-2-2000001111000000110
χ2322222-12222-1-12-1222-1-2-2-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-22-1-1-11111-2-2-1-1111111110000000020200-2-2000001111000000-1-10
χ2422222-12222-1-12-1222-1-2-2-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-22-1-1-11111-2-2-1-11111111100000000-20-2002200000-1-1-1-1000000110
χ2522222-1-2-222-1-12-122-2-122-1-1-111222222-2-21111-1-1-2-211111-1-1-2-2-1-1-1-1-1-111110000000020-200-2200000-1-111000000-110
χ2622222-1-2-222-1-12-122-2-122-1-1-111222222-2-21111-1-1-2-211111-1-1-2-2-1-1-1-1-1-1111100000000-202002-20000011-1-10000001-10
χ2722222-1-2-222-1-12-122-2-1-2-2-1-1-111-2-2-2-222-2-21111-1-12-2111-1-11122-1-11111-1-1-1-10000000020-2002-20000011-1-1000000-110
χ2822222-1-2-222-1-12-122-2-1-2-2-1-1-111-2-2-2-222-2-21111-1-12-2111-1-11122-1-11111-1-1-1-100000000-20200-2200000-1-1110000001-10
χ292222-12222222-12-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10202-100-1-1-1-1-10000000000000
χ302222-12222222-12-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110-20-2100111110000000000000
χ312222-12222222-12-1-12-1-2-2-1-1-1221111-1-1-1-1-1-1-1-122-2-12-1-1-2-2-2-211-1-1111111112222-1-1-1-10-20-2-100-111110000000000000
χ322222-12222222-12-1-12-1-2-2-1-1-1221111-1-1-1-1-1-1-1-122-2-12-1-1-2-2-2-211-1-111111111-2-2-2-2111102021001-1-1-1-10000000000000
χ332222-1222-2-222-12-1-1-2-100-1-1-122−i3−i3i3i311-1-1-1-1-1-1-2-201-2110000−i3i311−i3−i3i3i3−i3−i3i3i322-2-211110000-100-1−i3i3−i3i30000000000000
χ342222-1222-2-222-12-1-1-2-100-1-1-122−i3−i3i3i311-1-1-1-1-1-1-2-201-2110000−i3i311−i3−i3i3i3−i3−i3i3i3-2-222-1-1-1-100001001i3−i3i3−i30000000000000
χ352222-1222-2-222-12-1-1-2-100-1-1-122i3i3−i3−i311-1-1-1-1-1-1-2-201-2110000i3−i311i3i3−i3−i3i3i3−i3−i322-2-211110000-100-1i3−i3i3−i30000000000000
χ362222-1222-2-222-12-1-1-2-100-1-1-122i3i3−i3−i311-1-1-1-1-1-1-2-201-2110000i3−i311i3i3−i3−i3i3i3−i3−i3-2-222-1-1-1-100001001−i3i3−i3i30000000000000
χ372222-12-2-22222-12-1-1-2-122-1-1-1-2-2-1-1-1-1-1-111111122-21-211-2-22211-1-1-1-1-1-111112-2-22-1-111020-2-1001-1-1110000000000000
χ382222-12-2-22222-12-1-1-2-122-1-1-1-2-2-1-1-1-1-1-111111122-21-211-2-22211-1-1-1-1-1-11111-222-211-1-10-202100-111-1-10000000000000
χ392222-12-2-22222-12-1-1-2-1-2-2-1-1-1-2-21111-1-11111112221-21122-2-2-1-1-1-11111-1-1-1-12-2-22-1-1110-202-100111-1-10000000000000
χ402222-12-2-22222-12-1-1-2-1-2-2-1-1-1-2-21111-1-11111112221-21122-2-2-1-1-1-11111-1-1-1-1-222-211-1-1020-2100-1-1-1110000000000000
χ412222-12-2-2-2-222-12-1-12-100-1-1-1-2-2−i3−i3i3i311111111-2-20-12-1-10000i3−i311−i3−i3i3i3i3i3−i3−i32-22-211-1-10000-1001−i3i3i3−i30000000000000
χ422222-12-2-2-2-222-12-1-12-100-1-1-1-2-2−i3−i3i3i311111111-2-20-12-1-10000i3−i311−i3−i3i3i3i3i3−i3−i3-22-22-1-1110000100-1i3−i3−i3i30000000000000
χ432222-12-2-2-2-222-12-1-12-100-1-1-1-2-2i3i3−i3−i311111111-2-20-12-1-10000−i3i311i3i3−i3−i3−i3−i3i3i32-22-211-1-10000-1001i3−i3−i3i30000000000000
χ442222-12-2-2-2-222-12-1-12-100-1-1-1-2-2i3i3−i3−i311111111-2-20-12-1-10000−i3i311i3i3−i3−i3−i3−i3i3i3-22-22-1-1110000100-1−i3i3i3−i30000000000000
χ452-2-2222002-22-2-2-22-2022i−2i2-2-2002i−2i2i−2i2-20000002-200000002i−2i002-22i−2i2i−2i00000000000000000000000000002-22i−2i00000
χ462-2-2222002-22-2-2-22-2022i−2i2-2-2002i−2i2i−2i2-20000002-200000002i−2i002-22i−2i2i−2i0000000000000000000000000000-22−2i2i00000
χ472-2-2222002-22-2-2-22-202−2i2i2-2-200−2i2i−2i2i2-20000002-20000000−2i2i002-2−2i2i−2i2i00000000000000000000000000002-2−2i2i00000
χ482-2-2222002-22-2-2-22-202−2i2i2-2-200−2i2i−2i2i2-20000002-20000000−2i2i002-2−2i2i−2i2i0000000000000000000000000000-222i−2i00000
χ4944444-244-4-4-2-24-244-4-200-2-2-2-2-20000-4-444-2-2-2-2220-42220000002200000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-24-2444-200-2-2-2220000-4-4-4-422222204-2-2-20000002200000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-24144111-2-2-2-2-2-2-2-2-2-21111-2-24-2-211-2-2-2-2-2-21111111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-241-4-4111-2-22222-2-2-2-21111-2-2-4-2-21122222211-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2-4100111-2-2−2i3−2i32i32i322-2-2111122022-1-10000−2i32i3-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-4100111-2-22i32i3−2i3−2i322-2-2111122022-1-100002i3−2i3-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-414411122-2-2-2-2-2-222-1-1-1-1-2-2-422-1-122-2-222111111-1-1-1-1000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-41-4-4111222222-2-222-1-1-1-1-2-2422-1-1-2-222-2-211-1-1-1-11111000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2410011122−2i3−2i32i32i32222-1-1-1-1220-2-21100002i3−2i3-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-24100111222i32i3−2i3−2i32222-1-1-1-1220-2-2110000−2i32i3-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ5944-4-4440000-4-444-4-40400-44-400000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6044-4-4440000-4-444-4-40400-44-4000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ614-44-4444i−4i00-44-4-4-440400-4-444i−4i0000004i−4i4i4i−4i−4i00000000000000000000000000000000000000000000000000000000
χ624-44-444−4i4i00-44-4-4-440400-4-44−4i4i000000−4i4i−4i−4i4i4i00000000000000000000000000000000000000000000000000000000
χ634-44-44-24i−4i002-2-42-440-20022-2−2i2i0000004i−4i−2i−2i2i2i00000000000000000000000000000000000000000006−6i6−i6000000000
χ644-44-44-24i−4i002-2-42-440-20022-2−2i2i0000004i−4i−2i−2i2i2i0000000000000000000000000000000000000000000−66−i6i6000000000
χ654-44-44-2−4i4i002-2-42-440-20022-22i−2i000000−4i4i2i2i−2i−2i00000000000000000000000000000000000000000006−6−i6i6000000000
χ664-44-44-2−4i4i002-2-42-440-20022-22i−2i000000−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000−66i6−i6000000000
χ674-44-4-244i−4i00-442-42-20-20022-24i−4i000000−2i2i−2i−2i2i2i00000000000000000000000000023−23−2i32i30000000000000000000000000
χ684-44-4-244i−4i00-442-42-20-20022-24i−4i000000−2i2i−2i−2i2i2i000000000000000000000000000−23232i3−2i30000000000000000000000000
χ694-44-4-24−4i4i00-442-42-20-20022-2−4i4i0000002i−2i2i2i−2i−2i00000000000000000000000000023−232i3−2i30000000000000000000000000
χ704-44-4-24−4i4i00-442-42-20-20022-2−4i4i0000002i−2i2i2i−2i−2i000000000000000000000000000−2323−2i32i30000000000000000000000000
χ714-4-444400-444-4-4-44-404004-4-4000000-44000000-4400000000000-4400000000000000000000000000000000000000000
χ724-4-444-2004-4-22-424-40-24i−4i-222004i−4i4i−4i4-4000000-220000000−2i2i00-22−2i2i−2i2i0000000000000000000000000000000000000
χ734-4-444-2004-4-22-424-40-2−4i4i-22200−4i4i−4i4i4-4000000-2200000002i−2i00-222i−2i2i−2i0000000000000000000000000000000000000
χ744-4-444-200-44-22-424-40-200-222000000-440000002-20000023−2300002-2000023−2323−23000000000000000000000000000000000
χ754-4-444-200-44-22-424-40-200-222000000-440000002-200000−232300002-20000−2323−2323000000000000000000000000000000000
χ764-4-44-24004-44-42-4-220-24i−4i-22200−2i2i−2i2i-220000004-400000004i−4i00-22−2i2i−2i2i0000000000000000000000000000000000000
χ774-4-44-24004-44-42-4-220-2−4i4i-222002i−2i2i−2i-220000004-40000000−4i4i00-222i−2i2i−2i0000000000000000000000000000000000000
χ784-4-44-2400-444-42-4-220-200-2220023−23−23232-2000000-44000000000002-223−23−23230000000000000000000000000000000000000
χ794-4-44-2400-444-42-4-220-200-22200−232323−232-2000000-44000000000002-2−232323−230000000000000000000000000000000000000
χ804-4-44-2-2004-4-2222-22014i−4i1-1-100−2i2i−2i2i-22003-33-3-220003-300−2i2i001-1i−ii−i3i−3i−3i3i000000000000000000000000000000000
χ814-4-44-2-2004-4-2222-22014i−4i1-1-100−2i2i−2i2i-2200-33-33-22000-3300−2i2i001-1i−ii−i−3i3i3i−3i000000000000000000000000000000000
χ824-4-44-2-2004-4-2222-2201−4i4i1-1-1002i−2i2i−2i-22003-33-3-220003-3002i−2i001-1−ii−ii−3i3i3i−3i000000000000000000000000000000000
χ834-4-44-2-2004-4-2222-2201−4i4i1-1-1002i−2i2i−2i-2200-33-33-22000-33002i−2i001-1−ii−ii3i−3i−3i3i000000000000000000000000000000000
χ844-4-44-2-200-44-2222-2201001-1-10023−23−23232-2003-33-32-2000-33−23230000-11−333−33−33−3000000000000000000000000000000000
χ854-4-44-2-200-44-2222-2201001-1-10023−23−23232-200-33-332-20003-323−230000-11−333−3−33−33000000000000000000000000000000000
χ864-4-44-2-200-44-2222-2201001-1-100−232323−232-2003-33-32-2000-3323−230000-113−3−33−33−33000000000000000000000000000000000
χ874-4-44-2-200-44-2222-2201001-1-100−232323−232-200-33-332-20003-3−23230000-113−3−333−33−3000000000000000000000000000000000
χ8888-8-88-40000448-4-8-80-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-480000-8-8-48440-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4000044-4-4440200-22-200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4000044-4-4440200-22-20000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-8-4-48i−8i004-4444-40200-2-22−4i4i000000−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4−8i8i004-4444-40200-2-224i−4i0000004i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000

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