Finite Group Databasebeta

← Group #11793137

Character table — Group #11793137

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122222222336666663666666666666666666624666666666666121212121212121244444444121212121212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ92222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ102222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-200000000111111110000
χ112222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-211-1-1-1-11111-2-2111111002200-2-200000000-1-1-1-111110000
χ122222222222-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-211-1-1-1-11111-2-211111100-2-20022000000001111-1-1-1-10000
χ13222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ14222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-20011111111000000000000
χ15222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-2-211-2-2-1-1-1-1111111-2-211112200-2-200-1-1-1-11111000000000000
χ16222222222-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-2-211-2-2-1-1-1-1111111-2-21111-2-20022001111-1-1-1-1000000000000
χ1722222-2-2-2-222222222222-2-222-2-22222222-2-2-2-22-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222-2-2-2-222222222222-2-222-2-22222222-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ1922222-2-2-2-22-122-1-12-1-122-2-2-1-111-1-1-1-1-1-1-1-2-2112-222-1-11111-1-1-1-1-2-2111111000000000000000033−3−333−3−30000
χ2022222-2-2-2-22-122-1-12-1-122-2-2-1-111-1-1-1-1-1-1-1-2-2112-222-1-11111-1-1-1-1-2-21111110000000000000000−3−333−3−3330000
χ2122222-2-2-2-22-122-1-12-1-122-2-2-1-111-1-1-1-1-1-1-1-2-211-22-2-2111111111122-1-1-1-1-1-1000000000000000033−3−3−3−3330000
χ2222222-2-2-2-22-122-1-12-1-122-2-2-1-111-1-1-1-1-1-1-1-2-211-22-2-2111111111122-1-1-1-1-1-10000000000000000−3−33333−3−30000
χ2322222-2-2-2-2-12-1-122-12-1-1-11122-2-2-1-1-1-1-1-1-111-2-22-2-1-1221111-1-1-1-111-2-211110000000033−3−333−3−3000000000000
χ2422222-2-2-2-2-12-1-122-12-1-1-11122-2-2-1-1-1-1-1-1-111-2-22-2-1-1221111-1-1-1-111-2-2111100000000−3−333−3−333000000000000
χ2522222-2-2-2-2-12-1-122-12-1-1-11122-2-2-1-1-1-1-1-1-111-2-2-2211-2-211111111-1-122-1-1-1-10000000033−3−3−3−333000000000000
χ2622222-2-2-2-2-12-1-122-12-1-1-11122-2-2-1-1-1-1-1-1-111-2-2-2211-2-211111111-1-122-1-1-1-100000000−3−33333−3−3000000000000
χ27222-2-222-2-22222-2-2222-2-22-22-22-222-2-2-2-222-22-200000022-2-20000000000000000000000000000000000002i−2i00
χ28222-2-222-2-22222-2-2222-2-22-22-22-222-2-2-2-222-22-200000022-2-2000000000000000000000000000000000000−2i2i00
χ29222-2-2-2-2222222-2-2222-2-2-222-2-2222-2-2-2-22-22-22000000-2-222000000000000000000000000000000000000002-2
χ30222-2-2-2-2222222-2-2222-2-2-222-2-2222-2-2-2-22-22-22000000-2-22200000000000000000000000000000000000000-22
χ3122-22-22-22-222-2-2222222-222-2-2-22-2-222-2-22-2-22-20000002-22-20000000000002i−2i0000002i−2i2i−2i0000000000000000
χ3222-22-22-22-222-2-2222222-222-2-2-22-2-222-2-22-2-22-20000002-22-2000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ3322-22-22-22-2-121122-12-1-11-1-1-2-2-2211-1-111-1112-200−i3i300-11-11−i3−i3i3i3−i3i300−i3−i3i3i32i−2i000000−ii−ii3−33−3000000000000
χ3422-22-22-22-2-121122-12-1-11-1-1-2-2-2211-1-111-1112-200−i3i300-11-11−i3−i3i3i3−i3i300−i3−i3i3i3−2i2i000000i−ii−i−33−33000000000000
χ3522-22-22-22-2-121122-12-1-11-1-1-2-2-2211-1-111-1112-200i3−i300-11-11i3i3−i3−i3i3−i300i3i3−i3−i32i−2i000000−ii−ii−33−33000000000000
χ3622-22-22-22-2-121122-12-1-11-1-1-2-2-2211-1-111-1112-200i3−i300-11-11i3i3−i3−i3i3−i300i3i3−i3−i3−2i2i000000i−ii−i3−33−3000000000000
χ3722-22-2-22-2222-2-2222222-2-2-2-2-22-2-2-222-2-2222-22000000-22-2200000000000000002-20000002-2-22000000000000
χ3822-22-2-22-2222-2-2222222-2-2-2-2-22-2-2-222-2-2222-22000000-22-220000000000000000-22000000-222-2000000000000
χ3922-22-2-22-22-121122-12-1-1111-2-22-211-1-111-1-1-1-2200−i3i3001-11-1−i3−i3i3i3i3−i300i3i3−i3−i300002-200−i3i3i3−i3-111-1000000000000
χ4022-22-2-22-22-121122-12-1-1111-2-22-211-1-111-1-1-1-2200−i3i3001-11-1−i3−i3i3i3i3−i300i3i3−i3−i30000-2200i3−i3−i3i31-1-11000000000000
χ4122-22-2-22-22-121122-12-1-1111-2-22-211-1-111-1-1-1-2200i3−i3001-11-1i3i3−i3−i3−i3i300−i3−i3i3i300002-200i3−i3−i3i3-111-1000000000000
χ4222-22-2-22-22-121122-12-1-1111-2-22-211-1-111-1-1-1-2200i3−i3001-11-1i3i3−i3−i3−i3i300−i3−i3i3i30000-2200−i3i3i3−i31-1-11000000000000
χ4322-2-222-2-2222-2-2-2-2222-222-2-22-2-2-2-2-2-2222-22220000002-2-220000000000000000002-20000000000002-22-20000
χ4422-2-222-2-2222-2-2-2-2222-222-2-22-2-2-2-2-2-2222-22220000002-2-22000000000000000000-22000000000000-22-220000
χ4522-2-222-2-222-1-2-2112-1-1-222-21-1111111-1-1-1-22-1-10000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i30000002-200000000−i3i3−i3i3-11-110000
χ4622-2-222-2-222-1-2-2112-1-1-222-21-1111111-1-1-1-22-1-10000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i3000000-2200000000i3−i3i3−i31-11-10000
χ4722-2-222-2-222-1-2-2112-1-1-222-21-1111111-1-1-1-22-1-10000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i30000002-200000000i3−i3i3−i3-11-110000
χ4822-2-222-2-222-1-2-2112-1-1-222-21-1111111-1-1-1-22-1-10000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i3000000-2200000000−i3i3−i3i31-11-10000
χ4922-2-22-222-222-2-2-2-2222-22-22-2222-2-2-2-22222-2-2-2000000-222-2000000000000002i−2i0000000000002i−2i−2i2i00000000
χ5022-2-22-222-222-2-2-2-2222-22-22-2222-2-2-2-22222-2-2-2000000-222-200000000000000−2i2i000000000000−2i2i2i−2i00000000
χ5122-2-22-222-22-1-2-2112-1-1-22-221-1-1-11111-1-1-12-2110000−i3i31-1-11−i3i3−i3i300i3−i3i3−i3i3−i3002i−2i000000000000−iii−i3−3−330000
χ5222-2-22-222-22-1-2-2112-1-1-22-221-1-1-11111-1-1-12-2110000−i3i31-1-11−i3i3−i3i300i3−i3i3−i3i3−i300−2i2i000000000000i−i−ii−333−30000
χ5322-2-22-222-22-1-2-2112-1-1-22-221-1-1-11111-1-1-12-2110000i3−i31-1-11i3−i3i3−i300−i3i3−i3i3−i3i3002i−2i000000000000−iii−i−333−30000
χ5422-2-22-222-22-1-2-2112-1-1-22-221-1-1-11111-1-1-12-2110000i3−i31-1-11i3−i3i3−i300−i3i3−i3i3−i3i300−2i2i000000000000i−i−ii3−3−330000
χ55444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-2-244-2-2-2-211111111-2-2-2-211110000000000000000000000000000
χ56444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-2-2-4-422221111-1-1-1-12222-1-1-1-10000000000000000000000000000
χ5744444-4-4-4-4-2-2-2-2-2-2-2-21-2-222-2-222111111122224-4-2-2-2-2-1-1-1-111112222-1-1-1-10000000000000000000000000000
χ5844444-4-4-4-4-2-2-2-2-2-2-2-21-2-222-2-22211111112222-442222-1-1-1-1-1-1-1-1-2-2-2-211110000000000000000000000000000
χ59444-4-444-4-44-244224-2-2-4-44-4-22-22-2-22222-24-4-22000000-2-2220000000000000000000000000000000000000000
χ60444-4-444-4-4-24-2-2-4-4-24-222-224-44-4-2-22222-2-224-4000000-2-2220000000000000000000000000000000000000000
χ61444-4-444-4-4-2-2-2-222-2-2122-22-22-2211-1-1-1-11-22-2200000011-1-13-3-3300003-3-330000000000000000000000000000
χ62444-4-444-4-4-2-2-2-222-2-2122-22-22-2211-1-1-1-11-22-2200000011-1-1-333-30000-333-30000000000000000000000000000
χ63444-4-4-4-4444-244224-2-2-4-4-44-222-2-2-22222-2-442-200000022-2-20000000000000000000000000000000000000000
χ64444-4-4-4-444-24-2-2-4-4-24-2222-24-4-44-2-22222-22-2-4400000022-2-20000000000000000000000000000000000000000
χ65444-4-4-4-444-2-2-2-222-2-21222-2-222-211-1-1-1-112-22-2000000-1-1113-3-330000-333-30000000000000000000000000000
χ66444-4-4-4-444-2-2-2-222-2-21222-2-222-211-1-1-1-112-22-2000000-1-111-333-300003-3-330000000000000000000000000000
χ6744-44-44-44-44-2-4-4-2-24-2-24-444222-222-2-222-2-4-4-22000000-22-220000000000000000000000000000000000000000
χ6844-44-44-44-4-2-222-2-2-2-21-22-2-2222-2-1-111-1-1122-2200−2i32i3001-11-1i3i3−i3−i3−2i32i300i3i3−i3−i30000000000000000000000000000
χ6944-44-44-44-4-2-222-2-2-2-21-22-2-2222-2-1-111-1-1122-22002i3−2i3001-11-1−i3−i3i3i32i3−2i300−i3−i3i3i30000000000000000000000000000
χ7044-44-4-44-444-2-4-4-2-24-2-24-4-4-422-2222-2-222-2442-20000002-22-20000000000000000000000000000000000000000
χ7144-44-4-44-44-2-222-2-2-2-21-222222-22-1-111-1-11-2-22-200−2i32i300-11-11i3i3−i3−i32i3−2i300−i3−i3i3i30000000000000000000000000000
χ7244-44-4-44-44-2-222-2-2-2-21-222222-22-1-111-1-11-2-22-2002i3−2i300-11-11−i3−i3i3i3−2i32i300i3i3−i3−i30000000000000000000000000000
χ7344-4-444-4-44-2422-4-4-24-22-2-22-44-4-42222-2-2-22-244000000-222-20000000000000000000000000000000000000000
χ7444-4-444-4-44-2-22222-2-212-2-222-222-1-1-1-11112-2-2-20000−2i32i31-1-11i3−i3i3−i300−2i32i3i3−i3i3−i30000000000000000000000000000
χ7544-4-444-4-44-2-22222-2-212-2-222-222-1-1-1-11112-2-2-200002i3−2i31-1-11−i3i3−i3i3002i3−2i3−i3i3−i3i30000000000000000000000000000
χ7644-4-44-444-4-2422-4-4-24-22-22-2-44442222-2-2-2-22-4-40000002-2-220000000000000000000000000000000000000000
χ7744-4-44-444-4-2-22222-2-212-22-22-2-2-2-1-1-1-1111-22220000−2i32i3-111-1i3−i3i3−i3002i3−2i3−i3i3−i3i30000000000000000000000000000
χ7844-4-44-444-4-2-22222-2-212-22-22-2-2-2-1-1-1-1111-222200002i3−2i3-111-1−i3i3−i3i300−2i32i3i3−i3i3−i30000000000000000000000000000
χ798-80000000880000-8-8800000000000000-8000000000000000000000000000000000000000000000000000000
χ808-800000008-400−4i34i3-84-40000000000−4i34i3004000000000000000000000000000000000000000000000000000000
χ818-800000008-4004i3−4i3-84-400000000004i3−4i3004000000000000000000000000000000000000000000000000000000
χ828-80000000-48−4i34i3004-8-400000000−4i34i300004000000000000000000000000000000000000000000000000000000
χ838-80000000-484i3−4i3004-8-4000000004i3−4i300004000000000000000000000000000000000000000000000000000000
χ848-80000000-4-4−4i34i3−4i34i3442000000002i3−2i32i3−2i36-6-2000000000000000000000000000000000000000000000000000000
χ858-80000000-4-4−4i34i34i3−4i3442000000002i3−2i3−2i32i3-66-2000000000000000000000000000000000000000000000000000000
χ868-80000000-4-44i3−4i3−4i34i344200000000−2i32i32i3−2i3-66-2000000000000000000000000000000000000000000000000000000
χ878-80000000-4-44i3−4i34i3−4i344200000000−2i32i3−2i32i36-6-2000000000000000000000000000000000000000000000000000000

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