Finite Group Databasebeta

← Group #11795015

Character table — Group #11795015

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446612121212366666666612121212121212121212668812122424242424242424242424242424242444448888121212121212121224242424242424242288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2222i−2i-2-22i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000000000000000000000
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i0000000000000000000000000000
χ11222222-122222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-100000000
χ12222222-122222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000000
χ13222222-122222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-21111111111112200-2-200-1-1-1-10000111100000000
χ14222222-122222-122-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-200220011110000-1-1-1-100000000
χ15222222-1-2-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111111-2-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii00000000−i3−i3i3i3000033−3−300000000
χ16222222-1-2-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111111-2-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii00000000i3i3−i3−i30000−3−33300000000
χ17222222-1-2-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111111-2-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000−i3−i3i3i30000−3−33300000000
χ18222222-1-2-2-2-22-1-2-211-122-1-1-1-1-12-1-2-21111111-2-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000i3i3−i3−i3000033−3−300000000
χ1922222-122222-12-1-122-1-1-122-1-1-1-12-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000
χ2022222-122222-12-1-122-1-1-122-1-1-1-12-1-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-200-2-200001111000011110000
χ2122222-122222-12-1-122-1-1-122-1-1-1-12-1-122-1-12-1-1-1-1-1-2-2-1-11111-2-21111-2-21111002200-2-20000-1-1-1-1000011110000
χ2222222-122222-12-1-122-1-1-122-1-1-1-12-1-122-1-12-1-1-1-1-1-2-2-1-11111-2-21111-2-2111100-2-20022000011110000-1-1-1-10000
χ2322222-12-2-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-211-2111-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii000000000000−i3−i3i3i3000033−3−30000
χ2422222-12-2-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-211-2111-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii000000000000i3i3−i3−i30000−3−3330000
χ2522222-12-2-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-211-2111-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i000000000000−i3−i3i3i30000−3−3330000
χ2622222-12-2-2-2-2-1211-2-2-1-1-122-1-1-1-1211-2-211-2111-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i000000000000i3i3−i3−i3000033−3−30000
χ27222-2-2222-2-2222-2-2-2-222-22-2222-2-22-222-2-2-2-2-22-2-200220000000000000000002i−2i000000002i−2i2i−2i000000000000
χ28222-2-2222-2-2222-2-2-2-222-22-2222-2-22-222-2-2-2-2-22-2-20022000000000000000000−2i2i00000000−2i2i−2i2i000000000000
χ29222-2-222-222-222222222-22-2222-2-2-22-2-222222-2-2-200-2-200000000000000000000002i−2i0000000000002i−2i2i−2i0000
χ30222-2-222-222-222222222-22-2222-2-2-22-2-222222-2-2-200-2-20000000000000000000000−2i2i000000000000−2i2i−2i2i0000
χ31222-2-2-122-2-22-1211-2-2-1-112-2-1-1-11-2-112211-211-11100-1-13−33−30033−3−30033−3−3002i−2i00000000−ii−ii0000−i3i3i3−i30000
χ32222-2-2-122-2-22-1211-2-2-1-112-2-1-1-11-2-112211-211-11100-1-13−33−30033−3−30033−3−300−2i2i00000000i−ii−i0000i3−i3−i3i30000
χ33222-2-2-122-2-22-1211-2-2-1-112-2-1-1-11-2-112211-211-11100-1-1−33−3300−3−33300−3−333002i−2i00000000−ii−ii0000i3−i3−i3i30000
χ34222-2-2-122-2-22-1211-2-2-1-112-2-1-1-11-2-112211-211-11100-1-1−33−3300−3−33300−3−33300−2i2i00000000i−ii−i0000−i3i3i3−i30000
χ35222-2-2-12-222-2-12-1-122-1-112-2-1-1-11-21-1-2-2-1-12-1-11110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i30000002i−2i0000−333−30000−ii−ii0000
χ36222-2-2-12-222-2-12-1-122-1-112-2-1-1-11-21-1-2-2-1-12-1-11110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i3000000−2i2i00003−3−330000i−ii−i0000
χ37222-2-2-12-222-2-12-1-122-1-112-2-1-1-11-21-1-2-2-1-12-1-11110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i30000002i−2i00003−3−330000−ii−ii0000
χ38222-2-2-12-222-2-12-1-122-1-112-2-1-1-11-21-1-2-2-1-12-1-11110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i3000000−2i2i0000−333−30000i−ii−i0000
χ3922-22-22222-2-22222-2-22-2-2-22-2-222-22-22-2-2-2222-22-2002-200000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ4022-22-22222-2-22222-2-22-2-2-22-2-222-22-22-2-2-2222-22-2002-20000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ4122-22-222-2-22222-2-2222-2-2-22-2-222-2-22-2222-2-2-222-200-22000000000000000000002-200000000002-22-200000000
χ4222-22-222-2-22222-2-2222-2-2-22-2-222-2-22-2222-2-2-222-200-2200000000000000000000-220000000000-22-2200000000
χ4322-22-22-122-2-22-12211-1-2-21-111-1212-2-1111-1-1-1-2-1100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i−2i000000−ii−ii00003−3−3300000000
χ4422-22-22-122-2-22-12211-1-2-21-111-1212-2-1111-1-1-1-2-1100-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−2i2i000000i−ii−i0000−333−300000000
χ4522-22-22-122-2-22-12211-1-2-21-111-1212-2-1111-1-1-1-2-1100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32i−2i000000−ii−ii0000−333−300000000
χ4622-22-22-122-2-22-12211-1-2-21-111-1212-2-1111-1-1-1-2-1100-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i2i000000i−ii−i00003−3−3300000000
χ4722-22-22-1-2-2222-1-2-2-1-1-1-2-21-111-121-221-1-1-11112-11001-100003−33−33−3−33−33−3300002-200−333−30000-11-1100000000
χ4822-22-22-1-2-2222-1-2-2-1-1-1-2-21-111-121-221-1-1-11112-11001-100003−33−33−3−33−33−330000-22003−3−3300001-11-100000000
χ4922-22-22-1-2-2222-1-2-2-1-1-1-2-21-111-121-221-1-1-11112-11001-10000−33−33−333−33−33−300002-2003−3−330000-11-1100000000
χ5022-22-22-1-2-2222-1-2-2-1-1-1-2-21-111-121-221-1-1-11112-11001-10000−33−33−333−33−33−30000-2200−333−300001-11-100000000
χ5122-2-22222-22-222-2-2222-22-2-2-2-22-22222-222-2-2-2-2-22002-20000000000000000000000000000000000000000002i−2i
χ5222-2-22222-22-222-2-2222-22-2-2-2-22-22222-222-2-2-2-2-22002-2000000000000000000000000000000000000000000−2i2i
χ5322-2-2222-22-222222-2-22-22-2-2-2-22-22-2-2-22-2-22222-2200-2200000000000000000000000000000000000000002-200
χ5422-2-2222-22-222222-2-22-22-2-2-2-22-22-2-2-22-2-22222-2200-220000000000000000000000000000000000000000-2200
χ5544444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000
χ5744444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-22222-1-12-1-12114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-22222-1-12-1-1211−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000
χ59444-4-44-24-4-444-2-4-422-24-4-22-2-2-2-424-4-2-22222242200-2-200000000000000000000000000000000000000000000
χ60444-4-44-2-444-44-244-2-2-24-4-22-2-2-2-42-4422-2-2-2-2-2-422002200000000000000000000000000000000000000000000
χ61444-4-4-2-24-4-44-2-222221-22-2211122-22-2-2-1-12-1-1-2-1-1001123−2323−2300−3−33300−3−3330000000000000000000000000000
χ62444-4-4-2-24-4-44-2-222221-22-2211122-22-2-2-1-12-1-1-2-1-10011−2323−23230033−3−30033−3−30000000000000000000000000000
χ63444-4-4-2-2-444-4-2-2-2-2-2-21-22-22111222-22211-2112-1-100-1-1−2i32i32i3−2i300i3i3−i3−i300−i3−i3i3i30000000000000000000000000000
χ64444-4-4-2-2-444-4-2-2-2-2-2-21-22-22111222-22211-2112-1-100-1-12i3−2i3−2i32i300−i3−i3i3i300i3i3−i3−i30000000000000000000000000000
χ6544-44-4-2444-4-4-24-2-2-4-4-222-4422-2-2-4-224-4224-2-22-2200-2200000000000000000000000000000000000000000000
χ6644-44-4-24-4-444-242244-222-4422-2-2-42-2-44-2-2-422-2-22002-200000000000000000000000000000000000000000000
χ6744-44-4-2-244-4-4-2-2-2-2221222-2-1-11-22-22-22-1-1-21121-1001-10000−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000
χ6844-44-4-2-244-4-4-2-2-2-2221222-2-1-11-22-22-22-1-1-21121-1001-100002i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000
χ6944-44-4-2-2-4-444-2-222-2-21222-2-1-11-222-22-2112-1-1-21-100-11000023−23−33−33−23233−33−30000000000000000000000000000
χ7044-44-4-2-2-4-444-2-222-2-21222-2-1-11-222-22-2112-1-1-21-100-110000−23233−33−323−23−33−330000000000000000000000000000
χ7144-4-444-24-44-44-2-4-4-2-2-2-442222-2-4-244-22-2-2222-42-200-2200000000000000000000000000000000000000000000
χ7244-4-444-2-44-444-24422-2-442222-2-4-2-4-42-222-2-2-242-2002-200000000000000000000000000000000000000000000
χ7344-4-44-244-44-4-242244-22-2-4-422-224-2-24-4-2-2-42222-200-2200000000000000000000000000000000000000000000
χ7444-4-44-24-44-44-24-2-2-4-4-22-2-4-422-22422-44224-2-2-22-2002-200000000000000000000000000000000000000000000
χ7544-4-44-2-24-44-4-2-222-2-212-222-1-112-2-2-2-22112-1-12-11001-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000
χ7644-4-44-2-24-44-4-2-222-2-212-222-1-112-2-2-2-22112-1-12-11001-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000
χ7744-4-44-2-2-44-44-2-2-2-22212-222-1-112-2222-2-1-1-211-2-1100-110000003-3-3300-333-30000000000000000000000000000
χ7844-4-44-2-2-44-44-2-2-2-22212-222-1-112-2222-2-1-1-211-2-1100-11000000-333-3003-3-330000000000000000000000000000
χ798-8000880000-8-800008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-4000000400000043−43000000000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-40000004000000−4343000000000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-4000000400000000043−43000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-40000004000000000−4343000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−43200006-6-2000000−23230−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−434320000-66-200000023−230−2323000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−4320000-66-2000000−2323023−23000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−4343200006-6-200000023−23023−23000000000000000000000000000000000000000000000000000

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