Finite Group Databasebeta

← Group #11872180

Character table — Group #11872180

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666223666881212121224242424444412121212466661212121224242424242422244466881212242424246612121224668121212121224244444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-111-11-1-111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-1-11-1-1-11111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1111-1111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-11-111-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111-111-1
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-11
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-11
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-111-1-11-1
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11111-111-1-111-111-1-1-11
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111-1-1-1111-1-1-1-11-1-1111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1111-1-1111-1-1-111111-1-11-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11-1-111-1-1-111-11-11
χ17222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-2000000002-2002200-2-200000000000000-2000000-2002000
χ18222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000-2200-2-200-2-2000000000000002000000200-2000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-20022002200000000000000-2000000200-2000
χ20222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-2200-2-20022000000000000002000000-2002000
χ2122222-122-1-1-122222-1-1-1-122-12-12222200000000222-1-122-1-1-1-1-1-1-1-1222200-1-100000000-1-1-1-1-120-1-12-10000-1-10000-100
χ2222222-122-1-1-122222-1-1-1-122-12-12222200000000222-1-122-1-1-1-1-1-1-1-1-2-2-2-2001100000000-1-1-1-1-1-2011-210000110000100
χ2322222-122-1-1-122222-1-1-1-1-2-2-12-12-2-2-2-200000000-222-1-1-2-2-1-1111111222200-1-100000000-1-1111-20-1-1-2-10000110000100
χ2422222-122-1-1-122222-1-1-1-1-2-2-12-12-2-2-2-200000000-222-1-1-2-2-1-1111111-2-2-2-2001100000000-1-11112011210000-1-10000-100
χ2522222-122-1-1-1222-2-2-1-1-1-122-12-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-122-2-20011000000001111120-1-1-210000110000-100
χ2622222-122-1-1-1222-2-2-1-1-1-122-12-12222200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-22200-1-10000000011111-20112-10000-1-10000100
χ2722222-122-1-1-1222-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000002-2-21122-1-111111122-2-200110000000011-1-1-1-20-1-1210000-1-10000100
χ2822222-122-1-1-1222-2-2-1-1-1-1-2-2-12-12-2-2-2-2000000002-2-21122-1-1111111-2-22200-1-10000000011-1-1-12011-2-10000110000-100
χ292222-1222222-1-1-122-1-1-1-1222-12-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-122-1-1-1-10000220022-1-1-1-1-1-1-1-12-1-1020000-1-1-1-1000000000
χ302222-1222222-1-1-122-1-1-1-1222-12-1-1-1-1-1-2-2-2-211112-1-122-1-1-1-122-1-1-1-10000-2-200-2-2111111-1-12-1-10-200001111000000000
χ312222-1222222-1-1-122-1-1-1-1-2-22-12-111112222-1-1-1-1-2-1-12211-1-1-2-2111100002200-2-2-1-11111-1-1-2110-2000011-1-1000000000
χ322222-1222222-1-1-122-1-1-1-1-2-22-12-11111-2-2-2-21111-2-1-12211-1-1-2-211110000-2-2002211-1-1-1-1-1-1-211020000-1-111000000000
χ332222-1222222-1-1-1-2-2-1-1-1-1222-12-1-1-1-1-12222-1-1-1-1-211-2-211-1-122-1-1-1-10000-2-20022-1-1-1-1-1-111-2110-200001111000000000
χ342222-1222222-1-1-1-2-2-1-1-1-1222-12-1-1-1-1-1-2-2-2-21111-211-2-211-1-122-1-1-1-100002200-2-211111111-211020000-1-1-1-1000000000
χ352222-1222222-1-1-1-2-2-1-1-1-1-2-22-12-111112222-1-1-1-1211-2-2-1-1-1-1-2-211110000-2-200-2-2-1-11111112-1-1020000-1-111000000000
χ362222-1222222-1-1-1-2-2-1-1-1-1-2-22-12-11111-2-2-2-21111211-2-2-1-1-1-1-2-21111000022002211-1-1-1-1112-1-10-2000011-1-1000000000
χ3722-2-2222-2-2-22-22-22-22-22-200-2-22200002i−2i2i−2i2i2i−2i−2i02-22-2002-200000000002i−2i00002i−2i00002-2000000000002i−2i000000000
χ3822-2-2222-2-2-22-22-22-22-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i02-22-2002-20000000000−2i2i0000−2i2i00002-200000000000−2i2i000000000
χ3922-2-2222-2-2-22-22-2-222-22-200-2-22200002i−2i2i−2i2i2i−2i−2i0-22-22002-20000000000−2i2i00002i−2i0000-2200000000000−2i2i000000000
χ4022-2-2222-2-2-22-22-2-222-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i0-22-22002-200000000002i−2i0000−2i2i0000-22000000000002i−2i000000000
χ4122-2-222-22-2-22-22-2002-22-20022-2-200002i−2i−2i2i2i2i−2i−2i0000000-220000002-200000000−2i2i000000000002-20000000002i−2i0000
χ4222-2-222-22-2-22-22-2002-22-20022-2-200002i−2i−2i2i2i2i−2i−2i0000000-22000000-2200000000−2i2i00000000000-22000000000−2i2i0000
χ4322-2-222-22-2-22-22-2002-22-20022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-220000002-2000000002i−2i000000000002-2000000000−2i2i0000
χ4422-2-222-22-2-22-22-2002-22-20022-2-20000−2i2i2i−2i−2i−2i2i2i0000000-22000000-22000000002i−2i00000000000-220000000002i−2i0000
χ4522-2-2-122-2-2-221-112-2-11-1100-212-133−3−32i−2i2i−2i−i−iii0-112-23−3-110033−3−300002i−2i0000−ii−i3−i3i3i3-1103−3000000−i3i3−ii000000000
χ4622-2-2-122-2-2-221-112-2-11-1100-212-133−3−3−2i2i−2i2iii−i−i0-112-23−3-110033−3−30000−2i2i0000i−ii3i3−i3−i3-1103−3000000i3−i3i−i000000000
χ4722-2-2-122-2-2-221-112-2-11-1100-212-1−3−3332i−2i2i−2i−i−iii0-112-2−33-1100−3−33300002i−2i0000−iii3i3−i3−i3-110−33000000i3−i3−ii000000000
χ4822-2-2-122-2-2-221-112-2-11-1100-212-1−3−333−2i2i−2i2iii−i−i0-112-2−33-1100−3−3330000−2i2i0000i−i−i3−i3i3i3-110−33000000−i3i3i−i000000000
χ4922-2-2-122-2-2-221-11-22-11-1100-212-133−3−32i−2i2i−2i−i−iii01-1-22−33-110033−3−30000−2i2i0000−ii−i3−i3i3i31-10−33000000i3−i3i−i000000000
χ5022-2-2-122-2-2-221-11-22-11-1100-212-133−3−3−2i2i−2i2iii−i−i01-1-22−33-110033−3−300002i−2i0000i−ii3i3−i3−i31-10−33000000−i3i3−ii000000000
χ5122-2-2-122-2-2-221-11-22-11-1100-212-1−3−3332i−2i2i−2i−i−iii01-1-223−3-1100−3−3330000−2i2i0000−iii3i3−i3−i31-103−3000000−i3i3i−i000000000
χ5222-2-2-122-2-2-221-11-22-11-1100-212-1−3−333−2i2i−2i2iii−i−i01-1-223−3-1100−3−33300002i−2i0000i−i−i3−i3i3i31-103−3000000i3−i3−ii000000000
χ5344444-2-4-4-2-2-244400-2-2-2-2002-42-4000000000000000000022000000004-400-2-200000000000000000020000000000000
χ5444444-2-4-4-2-2-244400-2-2-2-2002-42-400000000000000000002200000000-440022000000000000000000-20000000000000
χ554444-24-4-4444-2-2-200-2-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4444-2-2-200-2-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-21111000000000000000011-2110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000112-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-211110000000000000000-1-12-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-1-1-2110000000000000000000
χ6144-4-44-24-422-2-44-44-4-22-22002-4-2400000000000004-4-2200-220000000000000000000000-220000000000000000000000
χ6244-4-44-24-422-2-44-4-44-22-22002-4-240000000000000-442-200-2200000000000000000000002-20000000000000000000000
χ6344-4-44-2-4422-2-44-400-22-2200-242-400000000000000000002-20000004-4000000000000000000000-22000000000000000
χ6444-4-44-2-4422-2-44-400-22-2200-242-400000000000000000002-2000000-440000000000000000000002-2000000000000000
χ6544-4-4-24-44-4-442-2200-22-22004-2-4200004i−4i−4i4i−2i−2i2i2i00000002-200000000000000002i−2i0000000000000000000000000000
χ6644-4-4-24-44-4-442-2200-22-22004-2-420000−4i4i4i−4i2i2i−2i−2i00000002-20000000000000000−2i2i0000000000000000000000000000
χ6744-4-4-2-24-422-22-224-41-11-10022-2-22323−23−23000000000-22-2223−231-100−3−33300000000000000001-10−330000000000000000000
χ6844-4-4-2-24-422-22-224-41-11-10022-2-2−23−232323000000000-22-22−23231-10033−3−300000000000000001-103−30000000000000000000
χ6944-4-4-2-24-422-22-22-441-11-10022-2-22323−23−230000000002-22-2−23231-100−3−3330000000000000000-1103−30000000000000000000
χ7044-4-4-2-24-422-22-22-441-11-10022-2-2−23−2323230000000002-22-223−231-10033−3−30000000000000000-110−330000000000000000000
χ714-44-444004-4-4-4-440044-4-400000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ724-44-444004-4-4-4-440044-4-4000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ734-44-4-24004-4-422-200-2-2220000006−66−60000−2i32i3−2i32i3000000000006−66−600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ744-44-4-24004-4-422-200-2-2220000006−66−600002i3−2i32i3−2i3000000000006−66−6000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ754-44-4-24004-4-422-200-2-222000000−66−660000−2i32i3−2i32i300000000000−66−66000000002i2−2i200−i2i2−i2i2000000000000000000000000
χ764-44-4-24004-4-422-200-2-222000000−66−6600002i3−2i32i3−2i300000000000−66−6600000000−2i22i200i2−i2i2−i2000000000000000000000000
χ774-4-444400-44-44-4-4004-4-4422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ784-4-444400-44-44-4-4004-4-44−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ794-4-444-2002-224-4-400-222-222−22000022−22−222200000000000000000−22−222−2000000−2i32i300000000000000000000000i6−i60000000
χ804-4-444-2002-224-4-400-222-222−22000022−22−222200000000000000000−22−222−20000002i3−2i300000000000000000000000−i6i60000000
χ814-4-444-2002-224-4-400-222-2−22220000−222222−22000000000000000002−22−2−22000000−2i32i300000000000000000000000−i6i60000000
χ824-4-444-2002-224-4-400-222-2−22220000−222222−22000000000000000002−22−2−220000002i3−2i300000000000000000000000i6−i60000000
χ834-4-44-2400-44-4-22200-222-222−220000−222−2000023−23−232300000000022−22−222−20000000000006−6−66000000000000000000000000
χ844-4-44-2400-44-4-22200-222-222−220000−222−20000−232323−2300000000022−22−222−2000000000000−666−6000000000000000000000000
χ854-4-44-2400-44-4-22200-222-2−222200002−2−22000023−23−2323000000000−22222−2−22000000000000−666−6000000000000000000000000
χ864-4-44-2400-44-4-22200-222-2−222200002−2−220000−232323−23000000000−22222−2−220000000000006−6−66000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-4-8844-44-44002-22-200-4-4440000000000000000000-220000000000000000000000000000000000000000000000
χ898-88-88-400-444-8-8800-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-400-44444-40022-2-200000026−2626−260000000000000000000−66−660000000000000000000000000000000000000000
χ918-88-8-4-400-44444-40022-2-2000000−2626−262600000000000000000006−66−60000000000000000000000000000000000000000
χ928-8-88-4-4004-44-444002-2-2242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ938-8-88-4-4004-44-444002-2-22−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000

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