Finite Group Databasebeta

← Group #11792382

Character table — Group #11792382

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444661212121236666666661212121212121212121244661212121212121212121212121212121212122244446666881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-11-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-2000000000000000000002-2000000000022-2-200000000
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000000000-220000000000-2-22200000000
χ11222222-122222-122-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-102020000-1-12200-1-10000-1-1-1-10000
χ12222222-122222-122-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-20-2000011-2-20011000011110000
χ13222222-122222-122-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111102020000-1-1-2-200-1-1000011110000
χ14222222-122222-122-1-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110-20-20000112200110000-1-1-1-10000
χ1522222-122222-12-1-122-1-122-12-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1202022-1-10000-1-100-1-1-1-100000000
χ1622222-122222-12-1-122-1-122-12-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-20-20-2-21100001100111100000000
χ1722222-122222-12-1-122-1-122-12-1-1-1-1-1-1-1222-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111112020-2-2-1-10000-1-100111100000000
χ1822222-122222-12-1-122-1-122-12-1-1-1-1-1-1-1222-1-1-1-1-2-2-1-1-1-11111-2-2-2-211111111-20-20221100001100-1-1-1-100000000
χ1922222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-1111-2-2-2111100-1-111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300002-2−i3i30000−i3i300-1-11100000000
χ2022222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-1111-2-2-2111100-1-111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000-22i3−i30000i3−i30011-1-100000000
χ2122222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-1111-2-2-2111100-1-111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002-2i3−i30000i3−i300-1-11100000000
χ2222222-12-2-2-2-2-1211-2-2-1-122-12-1-1-1-1111-2-2-2111100-1-111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000-22−i3i30000−i3i30011-1-100000000
χ23222-2-22222-2-22222-2-2222-2-2-22-2-2-22-2-222-222-2-22i−2i2-22-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ24222-2-22222-2-22222-2-2222-2-2-22-2-2-22-2-222-222-2-2−2i2i2-22-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ25222-2-222-2-22222-2-222222-2-2-22-2-2-2-222-2-22-2-222002-2-22000000000000000020-2000220000-2-200000000000000
χ26222-2-222-2-22222-2-222222-2-2-22-2-2-2-222-2-22-2-222002-2-220000000000000000-202000-2-200002200000000000000
χ27222-2-22-122-2-22-12211-12-11-21-111-22-2-2-1-11-1-1112i−2i-11-112i−2i2i−2i−i−iii−i−iii−i−iii00000000−i3i30000−i3i3000033−3−30000
χ28222-2-22-122-2-22-12211-12-11-21-111-22-2-2-1-11-1-1112i−2i-11-112i−2i2i−2i−i−iii−i−iii−i−iii00000000i3−i30000i3−i30000−3−3330000
χ29222-2-22-122-2-22-12211-12-11-21-111-22-2-2-1-11-1-111−2i2i-11-11−2i2i−2i2iii−i−iii−i−iii−i−i00000000−i3i30000−i3i30000−3−3330000
χ30222-2-22-122-2-22-12211-12-11-21-111-22-2-2-1-11-1-111−2i2i-11-11−2i2i−2i2iii−i−iii−i−iii−i−i00000000i3−i30000i3−i3000033−3−30000
χ31222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-11122-2-1-1112i−2i-11-11−ii−ii2i2i−2i−2i−i−iii−i−iii000000−i3i30000i3−i3003−33−300000000
χ32222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-11122-2-1-1112i−2i-11-11−ii−ii2i2i−2i−2i−i−iii−i−iii000000i3−i30000−i3i300−33−3300000000
χ33222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-11122-2-1-111−2i2i-11-11i−ii−i−2i−2i2i2iii−i−iii−i−i000000−i3i30000i3−i300−33−3300000000
χ34222-2-2-1222-2-2-12-1-1-2-2-1-12-21-2-1111-11122-2-1-111−2i2i-11-11i−ii−i−2i−2i2i2iii−i−iii−i−i000000i3−i30000−i3i3003−33−300000000
χ35222-2-2-12-2-222-121122-1-12-21-2-11111-1-1-2-2211-1-100-111-13−3−33000033−3−3−3−33320-2000-1-1000011003−3−3300000000
χ36222-2-2-12-2-222-121122-1-12-21-2-11111-1-1-2-2211-1-100-111-13−3−33000033−3−3−3−333-202000110000-1-100−333−300000000
χ37222-2-2-12-2-222-121122-1-12-21-2-11111-1-1-2-2211-1-100-111-1−333−30000−3−33333−3−320-2000-1-100001100−333−300000000
χ38222-2-2-12-2-222-121122-1-12-21-2-11111-1-1-2-2211-1-100-111-1−333−30000−3−33333−3−3-202000110000-1-1003−3−3300000000
χ3922-22-2222-22-22222222-2-2-222222-2-22-22-2-2222200-2-2-2-2000000000000000000000000002-2000000002-22-20000
χ4022-22-2222-22-22222222-2-2-222222-2-22-22-2-2222200-2-2-2-200000000000000000000000000-2200000000-22-220000
χ4122-22-222-22-2222-2-2-2-22-2-2-222222-22-22-222-2-2-2-200-2-2220000000000000000000000000000000000000000002-2
χ4222-22-222-22-2222-2-2-2-22-2-2-222222-22-22-222-2-2-2-200-2-222000000000000000000000000000000000000000000-22
χ4322-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-22-2-111-1-1-1-10011110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000−i3i32-200i3−i30000-11-110000
χ4422-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-22-2-111-1-1-1-10011110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000i3−i3-2200−i3i300001-11-10000
χ4522-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-22-2-111-1-1-1-10011110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000−i3i3-2200i3−i300001-11-10000
χ4622-22-22-12-22-22-122-1-1-1-2112-1-1-1-1-2-22-2-111-1-1-1-10011110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000i3−i32-200−i3i30000-11-110000
χ4722-2-22222-2-222222-2-22-2-22-2-22-2-22-2-222-2222-2-200-22-220000000000000000020-20000220000-2-2000000000000
χ4822-2-22222-2-222222-2-22-2-22-2-22-2-22-2-222-2222-2-200-22-2200000000000000000-2020000-2-2000022000000000000
χ4922-2-2222-222-222-2-2222-2-22-2-22-2-2222-2-22-2-2-22200-222-200000000000000000000000000000000000000002-200
χ5022-2-2222-222-222-2-2222-2-22-2-22-2-2222-2-22-2-2-22200-222-20000000000000000000000000000000000000000-2200
χ5122-2-222-12-2-222-12211-1-21-1-21-1112-2-22-11-1-1-111001-11-100003−3−333−3−333−3−33020-20000-1-100001100003−3−330000
χ5222-2-222-12-2-222-12211-1-21-1-21-1112-2-22-11-1-1-111001-11-100003−3−333−3−333−3−330-2020000110000-1-10000−333−30000
χ5322-2-222-12-2-222-12211-1-21-1-21-1112-2-22-11-1-1-111001-11-10000−333−3−333−3−333−3020-20000-1-10000110000−333−30000
χ5422-2-222-12-2-222-12211-1-21-1-21-1112-2-22-11-1-1-111001-11-10000−333−3−333−3−333−30-2020000110000-1-100003−3−330000
χ55444444-2-4-4-4-44-2-4-422-24-2-24-2-2-2-24-4-4-4222222200-2-22200000000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-21111441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-2-21111-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-2222222-1-1-1-10011-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-2222222-1-1-1-10011-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ60444-4-44-2-4-4444-2-4-4-2-2-24-22-42-222-4-44422-222-2-200-222-200000000000000000000000000000000000000000000
χ61444-4-4-2-244-4-4-2-2-2-2221-2-22221-1-12-222-2-2211-1-14i−4i1-11-1−2i2i−2i2i−2i−2i2i2iii−i−iii−i−i0000000000000000000000000000
χ62444-4-4-2-244-4-4-2-2-2-2221-2-22221-1-12-222-2-2211-1-1−4i4i1-11-12i−2i2i−2i2i2i−2i−2i−i−iii−i−iii0000000000000000000000000000
χ63444-4-4-2-2-4-444-2-222-2-21-2-22221-1-122-2-222-2-1-111001-1-1123−23−23230000−3−33333−3−30000000000000000000000000000
χ64444-4-4-2-2-4-444-2-222-2-21-2-22221-1-122-2-222-2-1-111001-1-11−232323−23000033−3−3−3−3330000000000000000000000000000
χ6544-44-44-2-44-444-2-4-422-2-4224-2-2-2-2-44-442-2-222220022-2-200000000000000000000000000000000000000000000
χ6644-44-4-244-44-4-24-2-244-22-4-4-24-2-2-222-224-4-4-2-2-2-200222200000000000000000000000000000000000000000000
χ6744-44-4-24-44-44-2422-4-4-22-4-4-24-2-2-22-22-2-44422220022-2-200000000000000000000000000000000000000000000
χ6844-44-4-2-24-44-4-2-2-2-2-2-21222-2-211122-22-222111100-1-1-1-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2-2-21222-2-211122-22-222111100-1-1-1-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7044-44-4-2-2-44-44-2-222221222-2-21112-22-22-2-2-1-1-1-100-1-111000000003-33-3-33-330000000000000000000000000000
χ7144-44-4-2-2-44-44-2-222221222-2-21112-22-22-2-2-1-1-1-100-1-11100000000-33-333-33-30000000000000000000000000000
χ7244-4-444-2-444-44-2-4-4-2-2-2-42-2-42-222444-42-2222-2-2002-2-2200000000000000000000000000000000000000000000
χ7344-4-44-244-4-44-24-2-2-4-4-22-442-4-222-222-24-44-2-222002-22-200000000000000000000000000000000000000000000
χ7444-4-44-24-444-4-242244-22-442-4-222-2-2-22-44-422-2-2002-2-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-2-2-222122-2221-1-1-222-2-22-211-1-100-11-11000023−23−2323−333−3−333−30000000000000000000000000000
χ7644-4-44-2-24-4-44-2-2-2-222122-2221-1-1-222-2-22-211-1-100-11-110000−232323−233−3−333−3−330000000000000000000000000000
χ7744-4-44-2-2-444-4-2-222-2-2122-2221-1-1-2-2-222-22-1-11100-111-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ7844-4-44-2-2-444-4-2-222-2-2122-2221-1-1-2-2-222-22-1-11100-111-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ798-8000880000-8-80000800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-40000040000000000043−4300000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-400000400000000000−434300000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-400000400000000043−430000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-4000004000000000−43430000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−43200000-26-60000000−2323−232300000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−4343200000-2-660000000−232323−2300000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−43200000-2-66000000023−23−232300000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−4343200000-26-6000000023−2323−2300000000000000000000000000000000000000000000000000

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