Finite Group Databasebeta

← Group #11792366

Character table — Group #11792366

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666121236666666612121212121212121212122466666666661212121212121212121244444488121212121212121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000002-2000022-2-20000000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000-220000-2-2220000000000000000
χ11222222-122222-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ12222222-122222-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ13222222-122222-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-1111122-2-200001111-1-1-1-1000000000000
χ14222222-122222-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111-2-2220000-1-1-1-11111000000000000
χ15222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-2-2111111110000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i3002-20000-1-111−i3−i3i3i3000000000000
χ16222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-2-2111111110000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i300-22000011-1-1i3i3−i3−i3000000000000
χ17222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-2-2111111110000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i3002-20000-1-111i3i3−i3−i3000000000000
χ18222222-1-2-2-2-22-1-1-1-2-2-122-1-1-1-1-12-2-2-2111111110000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i300-22000011-1-1−i3−i3i3i3000000000000
χ1922222-122222-1222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ2022222-122222-1222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ2122222-122222-1222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111000022-2-200000000-1-1-1-111110000
χ2222222-122222-1222-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111110000-2-222000000001111-1-1-1-10000
χ23222-2-22222-2-22-2-22-2-222-22-2-2-22-222-222-2-222-2-20000002-2000000002-2000000002i−2i00000000002i2i−2i−2i00000000
χ24222-2-22222-2-22-2-22-2-222-22-2-2-22-222-222-2-222-2-20000002-2000000002-200000000−2i2i0000000000−2i−2i2i2i00000000
χ25222-2-222-2-2222-2-222222-22-2-2-22-2-2-22-2-222-2-2220000002-200000000-2200000000000000000000000000002-200
χ26222-2-222-2-2222-2-222222-22-2-2-22-2-2-22-2-222-2-2220000002-200000000-220000000000000000000000000000-2200
χ27222-2-2-1222-2-2-1-2-2211-1-112-211-11-1-1122-2-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300002i−2i0000000000−i−iii33−3−30000
χ28222-2-2-1222-2-2-1-2-2211-1-112-211-11-1-1122-2-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i30000−2i2i0000000000ii−i−i−3−3330000
χ29222-2-2-1222-2-2-1-2-2211-1-112-211-11-1-1122-2-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300002i−2i0000000000−i−iii−3−3330000
χ30222-2-2-1222-2-2-1-2-2211-1-112-211-11-1-1122-2-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i30000−2i2i0000000000ii−i−i33−3−30000
χ3122-22-2222-22-22222222-22-2-2222-22-2-22-22-22222000000-2-200000000-2-200002-200000000002-22-2000000000000
χ3222-22-2222-22-22222222-22-2-2222-22-2-22-22-22222000000-2-200000000-2-20000-220000000000-22-22000000000000
χ3322-22-222-22-222222-2-22-22-2-2222-2-222-22-22-2-2-2-22-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000
χ3422-22-222-22-222222-2-22-22-2-2222-2-222-22-22-2-2-2-2-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000
χ3522-22-22-12-22-22-1-1-122-1-2211-1-1-1-22-2-2-11-11-1-1-1-10000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i32-2000000−i3i3−i3i3-11-11000000000000
χ3622-22-22-12-22-22-1-1-122-1-2211-1-1-1-22-2-2-11-11-1-1-1-10000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3-22000000i3−i3i3−i31-11-1000000000000
χ3722-22-22-12-22-22-1-1-122-1-2211-1-1-1-22-2-2-11-11-1-1-1-10000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i32-2000000i3−i3i3−i3-11-11000000000000
χ3822-22-22-12-22-22-1-1-122-1-2211-1-1-1-22-2-2-11-11-1-1-1-10000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3-22000000−i3i3−i3i31-11-1000000000000
χ3922-22-22-1-22-222-1-1-1-2-2-1-2211-1-1-1-2-2221-11-111112-222-1-111-1-1-1-1-2-211-1-1111100000000−i3i3i3−i3−i3i3i3−i3000000000000
χ4022-22-22-1-22-222-1-1-1-2-2-1-2211-1-1-1-2-2221-11-111112-222-1-111-1-1-1-1-2-211-1-1111100000000i3−i3−i3i3i3−i3−i3i3000000000000
χ4122-22-22-1-22-222-1-1-1-2-2-1-2211-1-1-1-2-2221-11-11111-22-2-21111111122-1-1-1-1-1-1-1-100000000−i3i3i3−i3i3−i3−i3i3000000000000
χ4222-22-22-1-22-222-1-1-1-2-2-1-2211-1-1-1-2-2221-11-11111-22-2-21111111122-1-1-1-1-1-1-1-100000000i3−i3−i3i3−i3i3i3−i3000000000000
χ4322-22-2-12-22-22-122211-11-1-2-2-1-1-111-1-1-22-2211112-2-1-12211-1-1-1-111-2-2-1-1111100000000000000003−33−33−33−30000
χ4422-22-2-12-22-22-122211-11-1-2-2-1-1-111-1-1-22-2211112-2-1-12211-1-1-1-111-2-2-1-111110000000000000000−33−33−33−330000
χ4522-22-2-12-22-22-122211-11-1-2-2-1-1-111-1-1-22-221111-2211-2-2111111-1-122-1-1-1-1-1-100000000000000003−33−3−33−330000
χ4622-22-2-12-22-22-122211-11-1-2-2-1-1-111-1-1-22-221111-2211-2-2111111-1-122-1-1-1-1-1-10000000000000000−33−333−33−30000
χ4722-2-22222-2-222-2-22-2-22-2-2-22-2-2222-222-2-2222-2-2000000-2200000000-220000000000000000000000000000002-2
χ4822-2-22222-2-222-2-22-2-22-2-2-22-2-2222-222-2-2222-2-2000000-2200000000-22000000000000000000000000000000-22
χ4922-2-2222-222-22-2-22222-2-2-22-2-222-22-2-222-2-2-222000000-22000000002-200000000002-20000000000002-2-220000
χ5022-2-2222-222-22-2-22222-2-2-22-2-222-22-2-222-2-2-222000000-22000000002-20000000000-22000000000000-222-20000
χ5122-2-22-12-222-2-1-2-22-1-1-111-2211-1-11-11-222-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i30000002-200000000−i3i3i3−i3-111-10000
χ5222-2-22-12-222-2-1-2-22-1-1-111-2211-1-11-11-222-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i3000000-2200000000i3−i3−i3i31-1-110000
χ5322-2-22-12-222-2-1-2-22-1-1-111-2211-1-11-11-222-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i30000002-200000000i3−i3−i3i3-111-10000
χ5422-2-22-12-222-2-1-2-22-1-1-111-2211-1-11-11-222-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i3000000-2200000000−i3i3i3−i31-1-110000
χ5544444-24-4-4-4-4-244422-2-2-244-2-2-2-2222-4-4-4-42222000000-2-2000000002200000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-21111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-10000−2i32i311i3i3−i3−i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-100002i3−2i311−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000
χ60444-4-44-244-4-4422-2-4-4-24-4-2222-2-444-4-2-222-2-222000000-2200000000-2200000000000000000000000000000000
χ61444-4-44-2-4-444422-244-24-4-2222-2-4-4-4422-2-222-2-2000000-22000000002-200000000000000000000000000000000
χ62444-4-4-24-4-444-2-4-44-2-2-2-224-422-2222-2-4-44422-2-2000000-22000000002-200000000000000000000000000000000
χ63444-4-4-2-244-4-4-222-2221-22-22-1-112-2-22-2-22211-1-100−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000
χ64444-4-4-2-244-4-4-222-2221-22-22-1-112-2-22-2-22211-1-1002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000
χ65444-4-4-2-2-4-444-222-2-2-21-22-22-1-11222-222-2-2-1-1110000001-13-3-330000-113-3-330000000000000000000000000000
χ66444-4-4-2-2-4-444-222-2-2-21-22-22-1-11222-222-2-2-1-1110000001-1-333-30000-11-333-30000000000000000000000000000
χ6744-44-4-244-44-4-2444-2-2-22-2-4-4-2-2-22-2224-44-4-2-2-2-200000022000000002200000000000000000000000000000000
χ6844-44-4-2-24-44-4-2-2-2-2-2-212-2221112-222-22-2211110000−2i32i3-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2-2-212-2221112-222-22-22111100002i3−2i3-1-1−i3−i3i3i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000
χ7044-44-4-2-2-44-44-2-2-2-22212-22211122-2-22-22-2-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-22212-22211122-2-22-22-2-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000
χ7244-4-444-24-4-44422-2-4-4-2-4-42-222-244-44-222-2-2-2220000002-2000000002-200000000000000000000000000000000
χ7344-4-444-2-444-4422-244-2-4-42-222-24-44-42-2-2222-2-20000002-200000000-2200000000000000000000000000000000
χ7444-4-44-244-4-44-2-4-4422-222-4422-2-2-22-24-4-44-2-2220000002-2000000002-200000000000000000000000000000000
χ7544-4-44-2-24-4-44-222-2221222-2-1-11-2-22-2-222-211-1-1000000-113-3-330000-11-333-30000000000000000000000000000
χ7644-4-44-2-24-4-44-222-2221222-2-1-11-2-22-2-222-211-1-1000000-11-333-30000-113-3-330000000000000000000000000000
χ7744-4-44-2-2-444-4-222-2-2-21222-2-1-11-22-222-2-22-1-11100−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-4-222-2-2-21222-2-1-11-22-222-2-22-1-111002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000
χ798-8000880000-800-8008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-8−4i34i3400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000
χ818-80008-40000-84i3−4i3400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000
χ828-8000-480000400-843−43-40000004000000000043−4300000000000000000000000000000000000000000000000000
χ838-8000-480000400-8−4343-400000040000000000−434300000000000000000000000000000000000000000000000000
χ848-8000-4-400004−4i34i3443−43200002i3−2i3-2000000006i−6i−232300000000000000000000000000000000000000000000000000
χ858-8000-4-400004−4i34i34−4343200002i3−2i3-200000000−6i6i23−2300000000000000000000000000000000000000000000000000
χ868-8000-4-4000044i3−4i3443−4320000−2i32i3-200000000−6i6i−232300000000000000000000000000000000000000000000000000
χ878-8000-4-4000044i3−4i34−434320000−2i32i3-2000000006i−6i23−2300000000000000000000000000000000000000000000000000

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