Finite Group Databasebeta

← Group #11792378

Character table — Group #11792378

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666121236666666612121212121212121212124466121212121212121212121212121212121212244466888812121212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22-22222-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-222-2-2-2-2-2-2-2-22222220000000000000000000000000000
χ11222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-10000-1-1-1-1-1-1000000000000
χ12222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2110000111111000000000000
χ13222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-12-2-2-1-11111-1-1-2-21111-2-2111122-2-2-1-10000-1-11111000000000000
χ14222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-1-12-2-2-1-11111-1-1-2-21111-2-21111-2-22211000011-1-1-1-1000000000000
χ15222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-22-2-1-1-1-1111122-1-1-1-1-2-211110000−i3i30000−i3i3−i3−i3i3i3000000000000
χ16222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-22-2-1-1-1-1111122-1-1-1-1-2-211110000i3−i30000i3−i3i3i3−i3−i3000000000000
χ17222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-2-22-1-111-1-111-2-2111122-1-1-1-10000−i3i30000−i3i3i3i3−i3−i3000000000000
χ18222222-1-2-2-2-22-1-1-1-2-2-122-1-12-1-1-1-2-211111111-2-22-1-111-1-111-2-2111122-1-1-1-10000i3−i30000i3−i3−i3−i3i3i3000000000000
χ1922222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000-1-1-1-1-1-1-1-10000
χ2022222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2000000111111110000
χ2122222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-1-2-2-2-2-1-111111111111100000022-2-2000000-1-1-1-111110000
χ2222222-122222-1222-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111000000-2-2220000001111-1-1-1-10000
χ2322222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-2111112-2-1-122-2-211-1-1-1-1-1-1111111000000000000000033−3−333−3−30000
χ2422222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-2111112-2-1-122-2-211-1-1-1-1-1-11111110000000000000000−3−333−3−3330000
χ2522222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-211111-22-1-1-2-22211111111-1-1-1-1-1-1000000000000000033−3−3−3−3330000
χ2622222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-2-211111-22-1-1-2-22211111111-1-1-1-1-1-10000000000000000−3−33333−3−30000
χ27222-2-22222-2-22-2-22-2-222-22-2-22-2-22222-2-222-2-2-2002-200002-2000000000000000000000000000000000000002i−2i
χ28222-2-22222-2-22-2-22-2-222-22-2-22-2-22222-2-222-2-2-2002-200002-200000000000000000000000000000000000000−2i2i
χ29222-2-222-2-2222-2-222222-22-2-22-2-2-2-2-2-222-2-2222002-20000-220000000000000000000000000000000000002-200
χ30222-2-222-2-2222-2-222222-22-2-22-2-2-2-2-2-222-2-2222002-20000-22000000000000000000000000000000000000-2200
χ3122-22-2222-22-22222222-2-2-2-222222-22-22-22222-200-2-20000-2-20000000000002-200220000-2-20000000000000000
χ3222-22-2222-22-22222222-2-2-2-222222-22-22-22222-200-2-20000-2-2000000000000-2200-2-20000220000000000000000
χ3322-22-222-22-222222-2-22-2-2-2-22222-22-22-22-2-2-2-2200-2-2000022000000000000002-2000000002-22-2000000000000
χ3422-22-222-22-222222-2-22-2-2-2-22222-22-22-22-2-2-2-2200-2-200002200000000000000-2200000000-22-22000000000000
χ3522-22-22-12-22-22-1-1-122-1-2-2112-1-1-12-2-11-11-1-1-1-1-20011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i32-200-1-1000011−i3i3i3−i3000000000000
χ3622-22-22-12-22-22-1-1-122-1-2-2112-1-1-12-2-11-11-1-1-1-1-20011−i3i3−i3i31100−i3−i3i3i300−i3−i3i3i3-2200110000-1-1i3−i3−i3i3000000000000
χ3722-22-22-12-22-22-1-1-122-1-2-2112-1-1-12-2-11-11-1-1-1-1-20011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i32-200-1-1000011i3−i3−i3i3000000000000
χ3822-22-22-12-22-22-1-1-122-1-2-2112-1-1-12-2-11-11-1-1-1-1-20011i3−i3i3−i31100i3i3−i3−i300i3i3−i3−i3-2200110000-1-1−i3i3i3−i3000000000000
χ3922-22-22-1-22-222-1-1-1-2-2-1-2-2112-1-1-1-221-11-1111120011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i3002-2−i3i30000i3−i3-11-11000000000000
χ4022-22-22-1-22-222-1-1-1-2-2-1-2-2112-1-1-1-221-11-1111120011−i3i3i3−i3-1-100−i3−i3i3i300i3i3−i3−i300-22i3−i30000−i3i31-11-1000000000000
χ4122-22-22-1-22-222-1-1-1-2-2-1-2-2112-1-1-1-221-11-1111120011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i3002-2i3−i30000−i3i3-11-11000000000000
χ4222-22-22-1-22-222-1-1-1-2-2-1-2-2112-1-1-1-221-11-1111120011i3−i3−i3i3-1-100i3i3−i3−i300−i3−i3i3i300-22−i3i30000i3−i31-11-1000000000000
χ4322-2-22222-2-222-2-22-2-22-22-22-22-2-22-22-2-2222-2-2200-220000-22000000000000000000002-200000000002-22-20000
χ4422-2-22222-2-222-2-22-2-22-22-22-22-2-22-22-2-2222-2-2200-220000-2200000000000000000000-220000000000-22-220000
χ4522-2-2222-222-22-2-22222-22-22-22-2-2-22-222-2-2-222-200-2200002-20000000000000000002-2000000002-22-200000000
χ4622-2-2222-222-22-2-22222-22-22-22-2-2-22-222-2-2-222-200-2200002-2000000000000000000-2200000000-22-2200000000
χ4722-2-22-122-2-22-1-2-2211-11-1-221-111-112-2-22-1-111-1001-100001-13−33−33−33−33−33−3000000002-20000003−3−33-11-110000
χ4822-2-22-122-2-22-1-2-2211-11-1-221-111-112-2-22-1-111-1001-100001-13−33−33−33−33−33−300000000-22000000−333−31-11-10000
χ4922-2-22-122-2-22-1-2-2211-11-1-221-111-112-2-22-1-111-1001-100001-1−33−33−33−33−33−33000000002-2000000−333−3-11-110000
χ5022-2-22-122-2-22-1-2-2211-11-1-221-111-112-2-22-1-111-1001-100001-1−33−33−33−33−33−3300000000-220000003−3−331-11-10000
χ5122-2-22-12-222-2-1-2-22-1-1-11-1-221-1111-1-222-211-1-11001-10000-113−33−33−3−33−33−330000002-200000000-11-11−333−30000
χ5222-2-22-12-222-2-1-2-22-1-1-11-1-221-1111-1-222-211-1-11001-10000-113−33−33−3−33−33−33000000-22000000001-11-13−3−330000
χ5322-2-22-12-222-2-1-2-22-1-1-11-1-221-1111-1-222-211-1-11001-10000-11−33−33−333−33−33−30000002-200000000-11-113−3−330000
χ5422-2-22-12-222-2-1-2-22-1-1-11-1-221-1111-1-222-211-1-11001-10000-11−33−33−333−33−33−3000000-22000000001-11-1−333−30000
χ5544444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000
χ5744444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-124-411-2-222-1-1-2-2111122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-12-441122-2-2-1-122-1-1-1-1-2-211110000000000000000000000000000
χ59444-4-44-244-4-4422-2-4-4-24-4-22-4-22244-2-222-2-222-400-220000-220000000000000000000000000000000000000000
χ60444-4-44-2-4-444422-244-24-4-22-4-222-4-422-2-222-2-2400-2200002-20000000000000000000000000000000000000000
χ61444-4-4-2444-4-4-2-4-4422-2-224-42-222-2-244-4-4-2-222200-220000-220000000000000000000000000000000000000000
χ62444-4-4-24-4-444-2-4-44-2-2-2-224-42-22222-4-44422-2-2-200-2200002-20000000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-222-2221-22-2221-1-1-2-2-2-22211-1-12001-100001-1003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000
χ64444-4-4-2-244-4-4-222-2221-22-2221-1-1-2-2-2-22211-1-12001-100001-100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000
χ65444-4-4-2-2-4-444-222-2-2-21-22-2221-1-12222-2-2-1-111-2001-10000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000
χ66444-4-4-2-2-4-444-222-2-2-21-22-2221-1-12222-2-2-1-111-2001-10000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000
χ6744-44-4-244-44-4-2444-2-2-222-4-4-2-2-2-2-224-44-4-2-2-2-2200220000220000000000000000000000000000000000000000
χ6844-44-4-24-44-44-244422-222-4-4-2-2-2-22-2-44-442222-200220000-2-20000000000000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2-2-212222-2111-22-22-221111200-1-1−2i32i3−2i32i3-1-100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-2-2-212222-2111-22-22-221111200-1-12i3−2i32i3−2i3-1-100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-22212222-21112-22-22-2-1-1-1-1-200-1-1−2i32i32i3−2i31100i3i3−i3−i300−i3−i3i3i30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-2-2-22212222-21112-22-22-2-1-1-1-1-200-1-12i3−2i3−2i32i31100−i3−i3i3i300i3i3−i3−i30000000000000000000000000000
χ7344-4-444-24-4-44422-2-4-4-2-442-2-4-2224-4-222-2-2-2224002-200002-20000000000000000000000000000000000000000
χ7444-4-444-2-444-4422-244-2-442-2-4-222-442-2-2222-2-2-4002-20000-220000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-222-22212-22-221-1-1-22-222-211-1-1-200-110000-1123−23−33−3323−23−33−330000000000000000000000000000
χ7644-4-44-2-24-4-44-222-22212-22-221-1-1-22-222-211-1-1-200-110000-11−23233−33−3−23233−33−30000000000000000000000000000
χ7744-4-44-2-2-444-4-222-2-2-212-22-221-1-12-22-2-22-1-111200-1100001-123−23−33−33−23233−33−30000000000000000000000000000
χ7844-4-44-2-2-444-4-222-2-2-212-22-221-1-12-22-2-22-1-111200-1100001-1−23233−33−323−23−33−330000000000000000000000000000
χ798-8000880000-800-800800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-8−4i34i3400-4000004−4i34i30000000000000000000000000000000000000000000000000000000000000
χ818-80008-40000-84i3−4i3400-40000044i3−4i30000000000000000000000000000000000000000000000000000000000000
χ828-8000-480000400-843−43-4000004000000000043−43000000000000000000000000000000000000000000000000000
χ838-8000-480000400-8−4343-40000040000000000−4343000000000000000000000000000000000000000000000000000
χ848-8000-4-400004−4i34i3443−43200000-22i3−2i30000006i−6i−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004−4i34i34−4343200000-22i3−2i3000000−6i6i23−23000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044i3−4i3443−43200000-2−2i32i3000000−6i6i−2323000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044i3−4i34−4343200000-2−2i32i30000006i−6i23−23000000000000000000000000000000000000000000000000000

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