Finite Group Databasebeta

← Group #11779976

Character table — Group #11779976

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order122233444466666622346666666121212121212121212121212466666612121212121212121212121212124412121212444881212121212122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111111-1-111111-1-1-1-111111111-1-1-1-1-1
χ61111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-22-2222222222-22222222222-2-2-2-2-2-2-2-22-2222222-2-2-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ102222222-22-2222222-2-22-2-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-22222-222-2-22222000000000000000000000000000000
χ11222222-22-22222222002-20000222-2-2-222222222-20000000-20000-2-2-2-2-2000022222200-200-2-200000000000000000
χ12222222-22-22222222002-20000222-2-2-222222222-20000000-20000-2-2-2-2-20000-2-2-2-2-2-2002002200000000000000000
χ13222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000200002-2-22200000000002-20000022-2-20000000000000
χ14222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000200002-2-2220000000000-2200000-2-2220000000000000
χ1522222-1222222-1-12-122-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-12222-1-1-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-1-122200-1-1-1-1-1-10000000000000
χ1622222-1222222-1-12-122-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-12222-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-2-21111-2-2-2001111110000000000000
χ1722222-1222222-1-12-1-2-2-121111-1-1-12-1-1-1-122-1-1-1-12-2-2-21111211-2-2-1-1-1-1-1111122-1-1-1-1-2-2200-1-111110000000000000
χ1822222-1222222-1-12-1-2-2-121111-1-1-12-1-1-1-122-1-1-1-12-2-2-21111211-2-2-1-1-1-1-11111-2-2111122-20011-1-1-1-10000000000000
χ1922222-12-22-222-1-12-122-1-2-1-1-1-1-1-1-12-1-111-2-211112-222-1-1-1-1-211-2-21-1-111111100−i3−i3i3i300000−i3i3−i3i3−i3i30000000000000
χ2022222-12-22-222-1-12-122-1-2-1-1-1-1-1-1-12-1-111-2-211112-222-1-1-1-1-211-2-21-1-111111100i3i3−i3−i300000i3−i3i3−i3i3−i30000000000000
χ2122222-12-22-222-1-12-1-2-2-1-21111-1-1-12-1-111-2-2111122-2-21111-2-1-1221-1-111-1-1-1-100−i3−i3i3i300000−i3i3i3−i3i3−i30000000000000
χ2222222-12-22-222-1-12-1-2-2-1-21111-1-1-12-1-111-2-2111122-2-21111-2-1-1221-1-111-1-1-1-100i3i3−i3−i300000i3−i3−i3i3−i3i30000000000000
χ2322222-1-22-2222-1-12-100-1-2−i3−i3i3i3-1-1-1-211-1-122-1-1-1-1-2000−i3−i3i3i3-2−i3i30011111−i3−i3i3i322-1-1-1-100-20011−i3i3i3−i30000000000000
χ2422222-1-22-2222-1-12-100-1-2−i3−i3i3i3-1-1-1-211-1-122-1-1-1-1-2000−i3−i3i3i3-2−i3i30011111−i3−i3i3i3-2-2111100200-1-1i3−i3−i3i30000000000000
χ2522222-1-22-2222-1-12-100-1-2i3i3−i3−i3-1-1-1-211-1-122-1-1-1-1-2000i3i3−i3−i3-2i3−i30011111i3i3−i3−i322-1-1-1-100-20011i3−i3−i3i30000000000000
χ2622222-1-22-2222-1-12-100-1-2i3i3−i3−i3-1-1-1-211-1-122-1-1-1-1-2000i3i3−i3−i3-2i3−i30011111i3i3−i3−i3-2-2111100200-1-1−i3i3i3−i30000000000000
χ2722222-1-2-2-2-222-1-12-100-12−i3−i3i3i3-1-1-1-21111-2-21111-2000−i3−i3i3i32i3−i300-111-1-1i3i3−i3−i300−i3−i3i3i32-2000i3−i3-1-1110000000000000
χ2822222-1-2-2-2-222-1-12-100-12−i3−i3i3i3-1-1-1-21111-2-21111-2000−i3−i3i3i32i3−i300-111-1-1i3i3−i3−i300i3i3−i3−i3-22000−i3i311-1-10000000000000
χ2922222-1-2-2-2-222-1-12-100-12i3i3−i3−i3-1-1-1-21111-2-21111-2000i3i3−i3−i32−i3i300-111-1-1−i3−i3i3i300−i3−i3i3i3-22000i3−i311-1-10000000000000
χ3022222-1-2-2-2-222-1-12-100-12i3i3−i3−i3-1-1-1-21111-2-21111-2000i3i3−i3−i32−i3i300-111-1-1−i3−i3i3i300i3i3−i3−i32-2000−i3i3-1-1110000000000000
χ312222-122222-1-122-1222-122222-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-100000000022000000-1-1-1-100002-1-100
χ322222-122222-1-122-1222-122222-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1000000000-2-200000011110000-21100
χ332222-122222-1-122-12-2-2-12-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-2111111-1-2-2112-1-1-1-1111100000000022000000-1-1-1-10000-21100
χ342222-122222-1-122-12-2-2-12-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-2111111-1-2-2112-1-1-1-11111000000000-2-2000000111100002-1-100
χ352222-122-22-2-1-122-1222-1-22222-1-1-1-122-2-2111111-1-2-1-1-1-1-1-11-2-211-2-1-111111100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-2-1-122-1222-1-22222-1-1-1-122-2-2111111-1-2-1-1-1-1-1-11-2-211-2-1-111111100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-2-1-122-12-2-2-1-2-2-2-2-2-1-1-1-122-2-2111111-12111111122-1-1-2-1-111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-2-1-122-12-2-2-1-2-2-2-2-2-1-1-1-122-2-2111111-12111111122-1-1-2-1-111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ3922-2-22220-202-22-2-2-22-2202-22-22-2-222-200000000-202-22-22-20000002-200000000000000000000000000022−2−20002−2
χ4022-2-22220-202-22-2-2-22-2202-22-22-2-222-200000000-202-22-22-20000002-2000000000000000000000000000−2−222000−22
χ4122-2-22220-202-22-2-2-2-2220-22-222-2-222-200000000-20-22-22-220000002-200000000000000000000000000022−2−2000−22
χ4222-2-22220-202-22-2-2-2-2220-22-222-2-222-200000000-20-22-22-220000002-2000000000000000000000000000−2−2220002−2
χ432-2-2222020-2-2-2-222-200200000-2-220002-22-222-2-200000000000000000000002i−2i2i−2i2i−2i0002−20000002−22−2−i2i2−i2i200000
χ442-2-2222020-2-2-2-222-200200000-2-220002-22-222-2-200000000000000000000002i−2i2i−2i2i−2i000−22000000−22−22i2−i2i2−i200000
χ452-2-2222020-2-2-2-222-200200000-2-220002-22-222-2-20000000000000000000000−2i2i−2i2i−2i2i0002−20000002−22−2i2−i2i2−i200000
χ462-2-2222020-2-2-2-222-200200000-2-220002-22-222-2-20000000000000000000000−2i2i−2i2i−2i2i000−22000000−22−22−i2i2−i2i200000
χ474444-24-44-44-2-244-2400-2-40000-2-2-22-4-444-2-2-2-2-2-22000000020000-422220000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-2400-240000-2-2-22-4-4-4-422222220000000-20000422-2-20000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-2-21111-24-2-21111-2-2-2-2-2-211111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-2-21111-2-422-1-1-1-1-22222-21111-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2441-4-2-2-2-2111-2-2-22222-1-1-1-1-2-4-2-2111122222211-1-1-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-2-4-41-42222111-2-2-22222-1-1-1-1-2422-1-1-1-12-2-2-2-2211-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2001-4−2i3−2i32i32i3111222-2-2-2-211112000i3i3−i3−i32−2i32i3002-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2001-42i32i3−2i3−2i3111222-2-2-2-211112000−i3−i3i3i322i3−2i3002-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-20014−2i3−2i32i32i31112222222-1-1-1-12000i3i3−i3−i3-22i3−2i300-2-1-111−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-200142i32i3−2i3−2i31112222222-1-1-1-12000−i3−i3i3i3-2−2i32i300-2-1-111i3i3−i3−i3000000000000000000000000000000
χ5744-4-444-40404-44-4-4-4004000004-4-4-4-440000000040000000000000-44000000000000000000000000000000000000
χ5844-4-44-240-404-4-22-424-4-20-22-22-2224-2200000000-404-4-22-22000000-22000000000000000000000000000000000000
χ5944-4-44-240-404-4-22-42-44-202-22-2-2224-2200000000-40-442-22-2000000-22000000000000000000000000000000000000
χ6044-4-44-2-40404-4-22-4200-20−2i32i32i3−2i3-222-42-2000000004000−2i32i32i3−2i30000002-2000000000000000000000000000000000000
χ6144-4-44-2-40404-4-22-4200-202i3−2i3−2i32i3-222-42-20000000040002i3−2i3−2i32i30000002-2000000000000000000000000000000000000
χ6244-4-4-2440-40-224-42-44-4-204-44-4-222-24-40000000020-22-22-22000000-22000000000000000000000000000000000000
χ6344-4-4-2440-40-224-42-4-44-20-44-44-222-24-400000000202-22-22-2000000-22000000000000000000000000000000000000
χ6444-4-4-24-4040-224-42-400-200000-2222-4400000000-2000000000023−2302-20023−2323−23000000000000000000000000000000
χ6544-4-4-24-4040-224-42-400-200000-2222-4400000000-20000000000−232302-200−2323−2323000000000000000000000000000000
χ6644-4-4-2-240-40-22-22224-410-22-221-1-1-2-2200003i−3i3i−3i20-221-11-10000001-13i−3i3i−3i−3i3i000000000000000000000000000000
χ6744-4-4-2-240-40-22-22224-410-22-221-1-1-2-220000−3i3i−3i3i20-221-11-10000001-1−3i3i−3i3i3i−3i000000000000000000000000000000
χ6844-4-4-2-240-40-22-2222-44102-22-21-1-1-2-2200003i−3i3i−3i202-2-11-110000001-13i−3i−3i3i3i−3i000000000000000000000000000000
χ6944-4-4-2-240-40-22-2222-44102-22-21-1-1-2-220000−3i3i−3i3i202-2-11-110000001-1−3i3i3i−3i−3i3i000000000000000000000000000000
χ7044-4-4-2-2-4040-22-22220010−2i32i32i3−2i31-1-122-200003i−3i3i−3i-2000i3−i3−i3i3000−23230-11−3i3i3−33−3000000000000000000000000000000
χ7144-4-4-2-2-4040-22-22220010−2i32i32i3−2i31-1-122-20000−3i3i−3i3i-2000i3−i3−i3i300023−230-113i−3i−33−33000000000000000000000000000000
χ7244-4-4-2-2-4040-22-222200102i3−2i3−2i32i31-1-122-200003i−3i3i−3i-2000−i3i3i3−i300023−230-11−3i3i−33−33000000000000000000000000000000
χ7344-4-4-2-2-4040-22-222200102i3−2i3−2i32i31-1-122-20000−3i3i−3i3i-2000−i3i3i3−i3000−23230-113i−3i3−33−3000000000000000000000000000000
χ744-44-4440000-44-4-4-4400400000-44-40000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ754-44-4440000-44-4-4-4400400000-44-4000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ764-4-44440-404-4-4-444-400400000-4-44000-44-44-4-4440000000000000000000000000000000000000000000000000000
χ774-4-444-2040-4-4-42-24200-20000022-2000-224-4-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ784-4-444-2040-4-4-42-24200-20000022-2000-224-4-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ794-4-444-20-404-4-42-24200-20000022-20002-2-4422-2-200000000000000000000000023−23−2323000000000000000000000000
χ804-4-444-20-404-4-42-24200-20000022-20002-2-4422-2-2000000000000000000000000−232323−23000000000000000000000000
χ814-4-44-24040-422-44-2-400-20000022-20004-4-22-2-222000000000000000000000000000000022−22000000−22−22000000000
χ824-4-44-24040-422-44-2-400-20000022-20004-4-22-2-2220000000000000000000000000000000−22220000002−22−2000000000
χ834-4-44-240-40422-44-2-400-20000022-2000-442-222-2-2000000000000000000000000000000000000000i6−i6−i6i6000000000
χ844-4-44-240-40422-44-2-400-20000022-2000-442-222-2-2000000000000000000000000000000000000000−i6i6i6−i6000000000
χ858-88-88-40000-8844-8-400-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4800004-4-8-84800-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400004-4444-400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ888-88-8-4-400004-4444-400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-8-88-4-4080-8444-4-4400200000-2-22000-44-4422-2-20000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-808444-4-4400200000-2-220004-44-4-2-2220000000000000000000000000000000000000000000000000000

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