Finite Group Databasebeta

← Group #11889706

Character table — Group #11889706

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212121212242424242424242424242424243636363648487272
order12222233446666666666344466666666612121212121241212121212121212121212121212121212121212122288882424242424242424244666688242424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1
χ61111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-111-1-1-1111-1-11-11-11-1-11
χ101111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-1-111-11-11-111-1
χ111111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1111-1-1-11-111-11-1
χ121111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1111-1-1-1111-11-1-11-11
χ131111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-11-111-1-11-1-1-1111-11-11-11-1
χ141111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1111-1-1-1111-1-1-11-11-11-11
χ151111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1111-1-1-111-11-111-1-11
χ161111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-1-111-1111-1-11-11-1-111-1
χ1722222222-2-222222222222-200222222222-2-2-2-2-2-200000-20000-2-2-2-20000000000000000000000000000000000022-2-20000
χ1822222222-2-222222222222-200222222222-2-2-2-2-2-200000-20000-2-2-2-200000000000000000000000000000000000-2-2220000
χ192222222-1222-1-1-1-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1200-1-1-1-100000000000000
χ202222222-1222-1-1-1-1-1-1-122-122222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-200111100000000000000
χ212222222-1222-1-1-1-1-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1-122-1-211112-2-2-2-2-1-1-1-11111111122-2-2-2-211111111200-1-1-1-100000000000000
χ222222222-1222-1-1-1-1-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1-122-1-211112-2-2-2-2-1-1-1-111111111-2-22222-1-1-1-1-1-1-1-1-200111100000000000000
χ23222222-1222-12222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000022000022-1-1-1-10000-1-100
χ24222222-1222-12222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-20000-2-2111100001100
χ25222222-1222-12222222-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-11111-1-1-1-111111111000000000000000220000-2-211110000-1-100
χ26222222-1222-12222222-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-11111-1-1-1-111111111000000000000000-2-2000022-1-1-1-100001100
χ272222-2-222-2-222-2-2-2-222222200-2-22-2-2-2-222-222-2-2-20000020000-2-222000000000000000000000000000000000002-2-220000
χ282222-2-222-2-222-2-2-2-222222200-2-22-2-2-2-222-222-2-2-20000020000-2-22200000000000000000000000000000000000-222-20000
χ292222-2-22-1222-11111-1-122-1-222-2-2-11111-1-1-11122-1-2-1-111-222-2-2-1-111-1-1-1-111112222-2-2-1-1-1-11111-200-1-11100000000000000
χ302222-2-22-1222-11111-1-122-1-222-2-2-11111-1-1-11122-1-2-1-111-222-2-2-1-111-1-1-1-11111-2-2-2-2221111-1-1-1-120011-1-100000000000000
χ312222-2-22-1222-11111-1-122-1-2-2-2-2-2-11111-1-1-11122-1211-1-1-2-2-222-1-1111111-1-1-1-122-2-2221111-1-1-1-1-200-1-11100000000000000
χ322222-2-22-1222-11111-1-122-1-2-2-2-2-2-11111-1-1-11122-1211-1-1-2-2-222-1-1111111-1-1-1-1-2-222-2-2-1-1-1-1111120011-1-100000000000000
χ332222-2-2-1222-12-2-2-2-222-1-1-1-22211-11111-1-12-2-2-1-12-222-2-21-1-111-1-111-1-1-1-111110000000000000002-20000-22-1-1110000-1100
χ342222-2-2-1222-12-2-2-2-222-1-1-1-22211-11111-1-12-2-2-1-12-222-2-21-1-111-1-111-1-1-1-11111000000000000000-2200002-211-1-100001-100
χ352222-2-2-1222-12-2-2-2-222-1-1-1-2-2-211-11111-1-12-2-2-1-122-2-222111-1-1-1-1111111-1-1-1-10000000000000002-200002-211-1-10000-1100
χ362222-2-2-1222-12-2-2-2-222-1-1-1-2-2-211-11111-1-12-2-2-1-122-2-222111-1-1-1-1111111-1-1-1-1000000000000000-220000-22-1-11100001-100
χ372-22-200222-2-2-200002-22-2202i−2i00-200002-22002-2-202i−2i0002i−2i002-2002i2i−2i−2i00002-22i−2i002i2i−2i−2i00000002-20000000000000000
χ382-22-200222-2-2-200002-22-2202i−2i00-200002-22002-2-202i−2i0002i−2i002-2002i2i−2i−2i0000-22−2i2i00−2i−2i2i2i0000000-220000000000000000
χ392-22-200222-2-2-200002-22-220−2i2i00-200002-22002-2-20−2i2i000−2i2i002-200−2i−2i2i2i00002-2−2i2i00−2i−2i2i2i00000002-20000000000000000
χ402-22-200222-2-2-200002-22-220−2i2i00-200002-22002-2-20−2i2i000−2i2i002-200−2i−2i2i2i0000-222i−2i002i2i−2i−2i0000000-220000000000000000
χ412-22-2002-12-2-21−i3−i3i3i3-112-2-102i−2i001−i3−i3i3i3-11-1−i3i32-210−ii3−302i−2i00-11−i3i3−i−iii33−3−32-22i−2i00−i−iii33−3−3000-11−i3i300000000000000
χ422-22-2002-12-2-21−i3−i3i3i3-112-2-102i−2i001−i3−i3i3i3-11-1−i3i32-210−ii3−302i−2i00-11−i3i3−i−iii33−3−3-22−2i2i00ii−i−i−3−3330001-1i3−i300000000000000
χ432-22-2002-12-2-21−i3−i3i3i3-112-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-210i−i−330−2i2i00-11−i3i3ii−i−i−3−3332-2−2i2i00ii−i−i−3−333000-11−i3i300000000000000
χ442-22-2002-12-2-21−i3−i3i3i3-112-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-210i−i−330−2i2i00-11−i3i3ii−i−i−3−333-222i−2i00−i−iii33−3−30001-1i3−i300000000000000
χ452-22-2002-12-2-21i3i3−i3−i3-112-2-102i−2i001i3i3−i3−i3-11-1i3−i32-210−ii−3302i−2i00-11i3−i3−i−iii−3−3332-22i−2i00−i−iii−3−333000-11i3−i300000000000000
χ462-22-2002-12-2-21i3i3−i3−i3-112-2-102i−2i001i3i3−i3−i3-11-1i3−i32-210−ii−3302i−2i00-11i3−i3−i−iii−3−333-22−2i2i00ii−i−i33−3−30001-1−i3i300000000000000
χ472-22-2002-12-2-21i3i3−i3−i3-112-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-210i−i3−30−2i2i00-11i3−i3ii−i−i33−3−32-2−2i2i00ii−i−i33−3−3000-11i3−i300000000000000
χ482-22-2002-12-2-21i3i3−i3−i3-112-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-210i−i3−30−2i2i00-11i3−i3ii−i−i33−3−3-222i−2i00−i−iii−3−3330001-1−i3i300000000000000
χ494444444-2-4-44-2-2-2-2-2-2-244-2-40044-2-2-2-2-2-2-2222-4-4200000-4000022220000000000000000000000000000000000000000000
χ50444444-24-4-4-24444444-2-2-2-400-2-2-2-2-2-2-2-2-2-4-4-422-4000002000022220000000000000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000
χ52444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-2-2-42222-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-211111112222220000020000-1-1-1-13-33-33-33-300000000000000000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-211111112222220000020000-1-1-1-1-33-33-33-3300000000000000000000000000000000000
χ554444-4-44-2-4-44-22222-2-244-2400-4-4-22222-2-22-2-2-4-42000004000022-2-20000000000000000000000000000000000000000000
χ564444-4-4-24-4-4-24-4-4-4-444-2-2-240022-22222-2-2-44422-400000-2000022-2-20000000000000000000000000000000000000000000
χ574444-4-4-2-244-2-22222-2-2-2-21-444221-1-1-1-111-222-2-2-2-4-2-2222-2-22211-1-11111-1-1-1-100000000000000000000000000000000000
χ584444-4-4-2-244-2-22222-2-2-2-21-4-4-4221-1-1-1-111-222-2-2-2422-2-2222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000
χ594444-4-4-2-2-4-4-2-22222-2-2-2-21400221-1-1-1-1112-2-222200000-20000-1-1113-33-3-33-3300000000000000000000000000000000000
χ604444-4-4-2-2-4-4-2-22222-2-2-2-21400221-1-1-1-1112-2-222200000-20000-1-111-33-333-33-300000000000000000000000000000000000
χ6144-4-44-44400444-44-4-4-4-4-440004-444-44-4-4-4000000000000000000000000000000000000000000000000000000000000000
χ6244-4-44-44-2004-2-22-2222-4-4-20004-4-2-22-222200000000000000000000000000000000006−66−66−66−6000000000000000000000
χ6344-4-44-44-2004-2-22-2222-4-4-20004-4-2-22-22220000000000000000000000000000000000−66−66−66−66000000000000000000000
χ6444-4-44-4-2400-244-44-4-4-422-2000-22-2-22-2222000000000000000000000000000000000000000000000000000i6−i6i6−i600000000
χ6544-4-44-4-2400-244-44-4-4-422-2000-22-2-22-2222000000000000000000000000000000000000000000000000000−i6i6−i6i600000000
χ6644-4-4-44440044-44-44-4-4-4-44000-444-44-44-4-4000000000000000000000000000000000000000000000000000000000000000
χ6744-4-4-444-2004-22-22-222-4-4-2000-44-22-22-22200000000000000000000000000000000006−66−6−66−66000000000000000000000
χ6844-4-4-444-2004-22-22-222-4-4-2000-44-22-22-2220000000000000000000000000000000000−66−666−66−6000000000000000000000
χ6944-4-4-44-2400-24-44-44-4-422-20002-2-22-22-222000000000000000000000000000000000000000000000000000i6−i6−i6i600000000
χ7044-4-4-44-2400-24-44-44-4-422-20002-2-22-22-222000000000000000000000000000000000000000000000000000−i6i6i6−i600000000
χ714-44-40044-44-4-400004-44-4400000-400004-4-400-4440000000000-44000000000000000000000000000000000000000000000
χ724-44-4004-2-44-42−2i3−2i32i32i3-224-4-2000002−2i3−2i32i32i3-2222i3−2i3-44-200000000002-22i3−2i30000000000000000000000000000000000000000000
χ734-44-4004-2-44-422i32i3−2i3−2i3-224-4-20000022i32i3−2i3−2i3-222−2i32i3-44-200000000002-2−2i32i30000000000000000000000000000000000000000000
χ744-44-400-244-42-400004-4-22-204i−4i0020000-22400-22-404i−4i000−2i2i00-2200−2i−2i2i2i000000000000000000000000000000000000000
χ754-44-400-244-42-400004-4-22-20−4i4i0020000-22400-22-40−4i4i0002i−2i00-22002i2i−2i−2i000000000000000000000000000000000000000
χ764-44-400-24-442-400004-4-22-20000020000-22-4002-240000000023−232-200000023−23−232300000000000000000000000000000000000
χ774-44-400-24-442-400004-4-22-20000020000-22-4002-2400000000−23232-2000000−232323−2300000000000000000000000000000000000
χ784-44-400-2-24-422−2i3−2i32i32i3-22-22104i−4i00-1i3i3−i3−i31-1-2−2i32i3-2220−2i2i23−230−2i2i001-1i3−i3ii−i−i−3−33300000000000000000000000000000000000
χ794-44-400-2-24-422−2i3−2i32i32i3-22-2210−4i4i00-1i3i3−i3−i31-1-2−2i32i3-22202i−2i−232302i−2i001-1i3−i3−i−iii33−3−300000000000000000000000000000000000
χ804-44-400-2-24-4222i32i3−2i3−2i3-22-22104i−4i00-1−i3−i3i3i31-1-22i3−2i3-2220−2i2i−23230−2i2i001-1−i3i3ii−i−i33−3−300000000000000000000000000000000000
χ814-44-400-2-24-4222i32i3−2i3−2i3-22-2210−4i4i00-1−i3−i3i3i31-1-22i3−2i3-22202i−2i23−2302i−2i001-1−i3i3−i−iii−3−33300000000000000000000000000000000000
χ824-44-400-2-2-4422−2i3−2i32i32i3-22-22100000-1i3i3−i3−i31-122i3−2i32-2-20000000023−23-11−i3i3−3i3i3i−3i−333−300000000000000000000000000000000000
χ834-44-400-2-2-4422−2i3−2i32i32i3-22-22100000-1i3i3−i3−i31-122i3−2i32-2-200000000−2323-11−i3i33i−3i−3i3i3−3−3300000000000000000000000000000000000
χ844-44-400-2-2-44222i32i3−2i3−2i3-22-22100000-1−i3−i3i3i31-12−2i32i32-2-20000000023−23-11i3−i33i−3i−3i3i−333−300000000000000000000000000000000000
χ854-44-400-2-2-44222i32i3−2i3−2i3-22-22100000-1−i3−i3i3i31-12−2i32i32-2-200000000−2323-11i3−i3−3i3i3i−3i3−3−3300000000000000000000000000000000000
χ864-4-44004400-4-40000-44-44400000-40000-440000000000000000000000000000000022−22000022−22−2222000000000000000000000
χ874-4-44004400-4-40000-44-44400000-40000-4400000000000000000000000000000000−22220000−222222−22000000000000000000000
χ884-4-44004-200-42−2i32i32i3−2i32-2-44-2000002−2i32i32i3−2i32-20000000000000000000000000000000022−22−i6i6i6−i6−222−2000000000000000000000
χ894-4-44004-200-42−2i32i32i3−2i32-2-44-2000002−2i32i32i3−2i32-200000000000000000000000000000000−2222i6−i6−i6i62−2−22000000000000000000000
χ904-4-44004-200-422i3−2i3−2i32i32-2-44-20000022i3−2i3−2i32i32-20000000000000000000000000000000022−22i6−i6−i6i6−222−2000000000000000000000
χ914-4-44004-200-422i3−2i3−2i32i32-2-44-20000022i3−2i3−2i32i32-200000000000000000000000000000000−2222−i6i6i6−i62−2−22000000000000000000000
χ9288-8-88-8-4-400-4-4-44-4444442000-4422-22-2-2-2000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-88-4-400-4-44-44-4444420004-42-22-22-2-2000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-48004-80000-884-4-400000400004-4000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40044−4i34i34i3−4i34-44-4200000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400444i3−4i3−4i34i34-44-4200000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000

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