Finite Group Databasebeta

← Group #11795048

Character table — Group #11795048

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444666666366666666666121212121212121244121212121212121212121212121212121212121244888888121212122424242424242424242424244488
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ92222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000002i−2i00000000002i2i−2i−2i00000000
χ102222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000−2i2i0000000000−2i−2i2i2i00000000
χ11222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ12222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ13222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-11111111122-2-20000-1-1-1-11111000000000000
χ14222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-111111111-2-22200001111-1-1-1-1000000000000
χ1522222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1622222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1722222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-111111111000022-2-200000000-1-1-1-111110000
χ1822222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-1111111110000-2-222000000001111-1-1-1-10000
χ1922222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i300002i−2i0000000000−i−iii33−3−30000
χ2022222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000−2i2i0000000000ii−i−i−3−3330000
χ2122222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i300002i−2i0000000000−i−iii−3−3330000
χ2222222-12-2-2-2-2-1-1-1222-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000−2i2i0000000000ii−i−i33−3−30000
χ23222-2-2222-2-222222-2-22-2-22-222-2-2-2-222-222-22-2-2000000000022-2-2000000002i−2i0000002i2i−2i−2i0000000000000000
χ24222-2-2222-2-222222-2-22-2-22-222-2-2-2-222-222-22-2-2000000000022-2-200000000−2i2i000000−2i−2i2i2i0000000000000000
χ25222-2-222-222-22222-2-22-2-22-222-2-2-2-22-22-2-22-2220000000000-2-22200000000000000000000000000000000002i−2i
χ26222-2-222-222-22222-2-22-2-22-222-2-2-2-22-22-2-22-2220000000000-2-2220000000000000000000000000000000000−2i2i
χ27222-2-22-12-2-22222-111-1-2-2-11-1-11111-12-2-1-112-21000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i32i−2i000000−i−iii33−3−3000000000000
χ28222-2-22-12-2-22222-111-1-2-2-11-1-11111-12-2-1-112-21000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i3−2i2i000000ii−i−i−3−333000000000000
χ29222-2-22-12-2-22222-111-1-2-2-11-1-11111-12-2-1-112-21000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i32i−2i000000−i−iii−3−333000000000000
χ30222-2-22-12-2-22222-111-1-2-2-11-1-11111-12-2-1-112-21000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i3−2i2i000000ii−i−i33−3−3000000000000
χ3122-22-22222-2-2-2-2222222-2-2-2-2-222-2-222-22-22-22-200000000002-22-2000000000000000000000000000000002i−2i00
χ3222-22-22222-2-2-2-2222222-2-2-2-2-222-2-222-22-22-22-200000000002-22-200000000000000000000000000000000−2i2i00
χ3322-22-222-2-222-2-2222222-2-2-2-2-222-2-22-22-22-22-220000000000-22-2200000000002-2000000002-22-2000000000000
χ3422-22-222-2-222-2-2222222-2-2-2-2-222-2-22-22-22-22-220000000000-22-220000000000-2200000000-22-22000000000000
χ3522-22-22-1-2-222-2-22-1-1-1-12-21111-1-111-1-221-112-2-1000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i3002-20000−i3i3−i3i3-11-11000000000000
χ3622-22-22-1-2-222-2-22-1-1-1-12-21111-1-111-1-221-112-2-1000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i300-220000i3−i3i3−i31-11-1000000000000
χ3722-22-22-1-2-222-2-22-1-1-1-12-21111-1-111-1-221-112-2-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i3002-20000i3−i3i3−i3-11-11000000000000
χ3822-22-22-1-2-222-2-22-1-1-1-12-21111-1-111-1-221-112-2-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i300-220000−i3i3−i3i31-11-1000000000000
χ3922-2-22222-22-2-2-222-2-22-22-22-2-2-2-2222222-2-2-2-2200000000002-2-22000000000000002i−2i0000000000002i−2i2i−2i0000
χ4022-2-22222-22-2-2-222-2-22-22-22-2-2-2-2222222-2-2-2-2200000000002-2-2200000000000000−2i2i000000000000−2i2i−2i2i0000
χ4122-2-2222-22-22-2-222-2-22-22-22-2-2-2-2222-2-2-22222-22-22-22-22-2-22-222-22-2-222-2-220000000000000000000000000000
χ4222-2-2222-22-22-2-222-2-22-22-22-2-2-2-2222-2-2-22222-2-22-22-22-222-2-222-2-222-2-222-20000000000000000000000000000
χ4322-2-222-1-22-22-2-22-111-1-221-11111-1-1-1-2-21-1-12212-22-22-2-111-11-1-11-111-1-111-1000000003−3−333−3−33000000000000
χ4422-2-222-1-22-22-2-22-111-1-221-11111-1-1-1-2-21-1-12212-22-22-2-111-11-1-11-111-1-111-100000000−333−3−333−3000000000000
χ4522-2-222-1-22-22-2-22-111-1-221-11111-1-1-1-2-21-1-1221-22-22-221-1-111-1-111-1-111-1-11000000003−3−33−333−3000000000000
χ4622-2-222-1-22-22-2-22-111-1-221-11111-1-1-1-2-21-1-1221-22-22-221-1-111-1-111-1-111-1-1100000000−333−33−3−33000000000000
χ4722-2-22-122-22-211-12-2-2-11-1-221111-1-1-1-1-12-2-211200−i3i3i3−i30000-111-1−i3i3i3−i3i3−i3−i3i30000002i−2i000000003−33−3−ii−ii0000
χ4822-2-22-122-22-211-12-2-2-11-1-221111-1-1-1-1-12-2-211200−i3i3i3−i30000-111-1−i3i3i3−i3i3−i3−i3i3000000−2i2i00000000−33−33i−ii−i0000
χ4922-2-22-122-22-211-12-2-2-11-1-221111-1-1-1-1-12-2-211200i3−i3−i3i30000-111-1i3−i3−i3i3−i3i3i3−i30000002i−2i00000000−33−33−ii−ii0000
χ5022-2-22-122-22-211-12-2-2-11-1-221111-1-1-1-1-12-2-211200i3−i3−i3i30000-111-1i3−i3−i3i3−i3i3i3−i3000000−2i2i000000003−33−3i−ii−i0000
χ5122-2-22-12-22-2211-12-2-2-11-1-221111-1-1-111-222-1-1-22-2-11-112-2-221-1-11-111-1-111-10000000000000000−i3i3i3−i3−i3i3i3−i30000
χ5222-2-22-12-22-2211-12-2-2-11-1-221111-1-1-111-222-1-1-22-2-11-112-2-221-1-11-111-1-111-10000000000000000i3−i3−i3i3i3−i3−i3i30000
χ5322-2-22-12-22-2211-12-2-2-11-1-221111-1-1-111-222-1-1-2-221-11-1-222-21-1-111-1-111-1-110000000000000000−i3i3i3−i3i3−i3−i3i30000
χ5422-2-22-12-22-2211-12-2-2-11-1-221111-1-1-111-222-1-1-2-221-11-1-222-21-1-111-1-111-1-110000000000000000i3−i3−i3i3−i3i3i3−i30000
χ55444444-2-4-4-4-4444-2-2-2-244-2-2-2-2-2-2-2-2-2-4-4222-4-4200000000002222000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i3−2i32i32i30000-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i32i3−2i3−2i30000-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ60444-4-44-2-444-4444-222-2-4-4-22-2-22222-2-4422-2-44-2000000000022-2-2000000000000000000000000000000000000
χ61444-4-4-244-4-44-2-2-24-4-4-2224-4-2-22222-2-2244-4-22-40000000000-2-222000000000000000000000000000000000000
χ62444-4-4-24-444-4-2-2-24-4-4-2224-4-2-22222-22-2-4-442-24000000000022-2-2000000000000000000000000000000000000
χ63444-4-4-2-24-4-44-2-2-2-222122-2211-1-1-1-11-22-2-22-222000000−2i3−2i32i32i311-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-24-4-44-2-2-2-222122-2211-1-1-1-11-22-2-22-2220000002i32i3−2i3−2i311-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-444-4-2-2-2-222122-2211-1-1-1-112-222-22-2-20000000000-1-11133-3-3-3-3330000000000000000000000000000
χ66444-4-4-2-2-444-4-2-2-2-222122-2211-1-1-1-112-222-22-2-20000000000-1-111-3-33333-3-30000000000000000000000000000
χ6744-44-44-244-4-4-4-44-2-2-2-24-42222-2-222-24-4-22-2-4420000000000-22-22000000000000000000000000000000000000
χ6844-44-4-2444-4-422-2444-2-22-4-422-2-222-2-224-442-2-40000000000-22-22000000000000000000000000000000000000
χ6944-44-4-24-4-44422-2444-2-22-4-422-2-222-22-2-44-4-22400000000002-22-2000000000000000000000000000000000000
χ7044-44-4-2-244-4-422-2-2-2-21-2222-1-111-1-11-22-22-22-2200000000001-11-13-33-3-33-330000000000000000000000000000
χ7144-44-4-2-244-4-422-2-2-2-21-2222-1-111-1-11-22-22-22-2200000000001-11-1-33-333-33-30000000000000000000000000000
χ7244-44-4-2-2-4-44422-2-2-2-21-2222-1-111-1-112-22-22-22-2000000−2i32i3−2i32i3-11-11i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7344-44-4-2-2-4-44422-2-2-2-21-2222-1-111-1-112-22-22-22-20000002i3−2i32i3−2i3-11-11−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7444-4-444-24-44-4-4-44-222-2-442-22222-2-2-244-222-4-4-20000000000-222-2000000000000000000000000000000000000
χ7544-4-44-2-24-44-422-2-22212-22-2-1-1-1-1111-2-2-22222-200−2i32i32i3−2i300001-1-11i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ7644-4-44-2-24-44-422-2-22212-22-2-1-1-1-1111-2-2-22222-2002i3−2i3−2i32i300001-1-11−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ7744-4-44-2-2-44-4422-2-22212-22-2-1-1-1-1111222-2-2-2-224-4-22-22-222-2-111-11-1-111-1-110000000000000000000000000000
χ7844-4-44-2-2-44-4422-2-22212-22-2-1-1-1-1111222-2-2-2-22-442-22-22-2-22-111-1-111-1-111-10000000000000000000000000000
χ798-800088000000-8-80080000000000-80000000000000000000000000000000000000000000000000000000000
χ808-80008-4000000-84−4i34i3-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000
χ818-80008-4000000-844i3−4i3-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i34-800-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i34-800-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i344−4i34i3200002i3−2i32i3−2i36-6-20000000000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i3444i3−4i3200002i3−2i3−2i32i3-66-20000000000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i344−4i34i320000−2i32i32i3−2i3-66-20000000000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i3444i3−4i320000−2i32i3−2i32i36-6-20000000000000000000000000000000000000000000000000000000000

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