Finite Group Databasebeta

← Group #11795047

Character table — Group #11795047

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444666666366666666666121212121212121244121212121212121212121212121212121212121244448888121212121212121224242424242424248888
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
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
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000002i−2i00
χ102222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000−2i2i00
χ11222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000
χ12222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200001111000011110000
χ13222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111002200-2-20000-1-1-1-1000011110000
χ14222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-11111111100-2-20022000011110000-1-1-1-10000
χ1522222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-100000000
χ1622222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000000
χ1722222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-1111111112200-2-200-1-1-1-10000111100000000
χ1822222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-111111111-2-200220011110000-1-1-1-100000000
χ19222-2-2222-2-222-2-22-2-222-22-222-2-2-2-2222-22-2-2-22000000000022-2-2000000002i−2i0000002i2i−2i−2i0000000000000000
χ20222-2-2222-2-222-2-22-2-222-22-222-2-2-2-2222-22-2-2-22000000000022-2-200000000−2i2i000000−2i−2i2i2i0000000000000000
χ21222-2-222-222-22-2-22-2-222-22-222-2-2-2-22-2-22-2222-20000000000-2-222000000000000002i−2i0000000000002i2i−2i−2i0000
χ22222-2-222-222-22-2-22-2-222-22-222-2-2-2-22-2-22-2222-20000000000-2-22200000000000000−2i2i000000000000−2i−2i2i2i0000
χ23222-2-22-1-222-22-2-2-111-12-2-11-1-11111-1-2-221-1-121000000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i30000002i−2i000033−3−30000−i−iii0000
χ24222-2-22-1-222-22-2-2-111-12-2-11-1-11111-1-2-221-1-121000000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i3000000−2i2i0000−3−3330000ii−i−i0000
χ25222-2-22-1-222-22-2-2-111-12-2-11-1-11111-1-2-221-1-121000000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i30000002i−2i0000−3−3330000−i−iii0000
χ26222-2-22-1-222-22-2-2-111-12-2-11-1-11111-1-2-221-1-121000000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i3000000−2i2i000033−3−30000ii−i−i0000
χ27222-2-2-122-2-22-1112-2-2-1-112-2-1-11111-1-1-112-2-21200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i32i−2i000000−i−iii000033−3−300000000
χ28222-2-2-122-2-22-1112-2-2-1-112-2-1-11111-1-1-112-2-21200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3−2i2i000000ii−i−i0000−3−33300000000
χ29222-2-2-122-2-22-1112-2-2-1-112-2-1-11111-1-1-112-2-21200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i32i−2i000000−i−iii0000−3−33300000000
χ30222-2-2-122-2-22-1112-2-2-1-112-2-1-11111-1-1-112-2-21200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3−2i2i000000ii−i−i000033−3−300000000
χ3122-22-22222-2-22-2-22222-22-2-2-2-222-2-222-2-222-22-200000000002-22-200000000000000000000000000000000002i−2i
χ3222-22-22222-2-22-2-22222-22-2-2-2-222-2-222-2-222-22-200000000002-22-20000000000000000000000000000000000−2i2i
χ3322-22-222-2-2222-2-22222-22-2-2-2-222-2-22-222-2-22-222-22-22-22-22-2-22-222-22-22-22-20000000000000000000000000000
χ3422-22-222-2-2222-2-22222-22-2-2-2-222-2-22-222-2-22-22-22-22-22-22-22-22-22-22-22-22-220000000000000000000000000000
χ3522-22-22-1-2-2222-2-2-1-1-1-1-221111-1-111-1-22211-1-2-12-22-22-2-11-111-11-1-11-11-11-11000000000000−i3i3−i3i30000−i3i3−i3i30000
χ3622-22-22-1-2-2222-2-2-1-1-1-1-221111-1-111-1-22211-1-2-12-22-22-2-11-111-11-1-11-11-11-11000000000000i3−i3i3−i30000i3−i3i3−i30000
χ3722-22-22-1-2-2222-2-2-1-1-1-1-221111-1-111-1-22211-1-2-1-22-22-221-11-11-11-11-11-11-11-1000000000000−i3i3−i3i30000i3−i3i3−i30000
χ3822-22-22-1-2-2222-2-2-1-1-1-1-221111-1-111-1-22211-1-2-1-22-22-221-11-11-11-11-11-11-11-1000000000000i3−i3i3−i30000−i3i3−i3i30000
χ3922-22-2-12-2-222-111222-11-1-2-211-1-111-11-1-1-2-22122-2-11-112-22-21-11-1-11-11-11-11000000003−33−300003−33−300000000
χ4022-22-2-12-2-222-111222-11-1-2-211-1-111-11-1-1-2-22122-2-11-112-22-21-11-1-11-11-11-1100000000−33−330000−33−3300000000
χ4122-22-2-12-2-222-111222-11-1-2-211-1-111-11-1-1-2-2212-221-11-1-22-221-11-11-11-11-11-1000000003−33−30000−33−3300000000
χ4222-22-2-12-2-222-111222-11-1-2-211-1-111-11-1-1-2-2212-221-11-1-22-221-11-11-11-11-11-100000000−33−3300003−33−300000000
χ4322-2-22222-22-22222-2-22-2-2-22-2-2-2-22222-222-22-2-200000000002-2-2200000000002i−2i000000002i−2i−2i2i000000000000
χ4422-2-22222-22-22222-2-22-2-2-22-2-2-2-22222-222-22-2-200000000002-2-220000000000−2i2i00000000−2i2i2i−2i000000000000
χ4522-2-2222-22-222222-2-22-2-2-22-2-2-2-2222-22-2-22-2220000000000-222-20000000000002-200000000002-2-2200000000
χ4622-2-2222-22-222222-2-22-2-2-22-2-2-2-2222-22-2-22-2220000000000-222-2000000000000-220000000000-222-200000000
χ4722-2-222-12-22-2222-111-1-2-21-11111-1-1-12-22-11-1-21000000−i3i3i3−i3-111-1−i3i3−i3i3i3−i3i3−i3002i−2i00000000−iii−i00003−3−330000
χ4822-2-222-12-22-2222-111-1-2-21-11111-1-1-12-22-11-1-21000000−i3i3i3−i3-111-1−i3i3−i3i3i3−i3i3−i300−2i2i00000000i−i−ii0000−333−30000
χ4922-2-222-12-22-2222-111-1-2-21-11111-1-1-12-22-11-1-21000000i3−i3−i3i3-111-1i3−i3i3−i3−i3i3−i3i3002i−2i00000000−iii−i0000−333−30000
χ5022-2-222-12-22-2222-111-1-2-21-11111-1-1-12-22-11-1-21000000i3−i3−i3i3-111-1i3−i3i3−i3−i3i3−i3i300−2i2i00000000i−i−ii00003−3−330000
χ5122-2-22-12-22-22-1-1-12-2-2-111-221111-1-1-11-11-22-2-1200−i3i3i3−i300001-1-11−i3i3i3−i3−i3i3i3−i300002-200−i3i3i3−i30000-111-100000000
χ5222-2-22-12-22-22-1-1-12-2-2-111-221111-1-1-11-11-22-2-1200−i3i3i3−i300001-1-11−i3i3i3−i3−i3i3i3−i30000-2200i3−i3−i3i300001-1-1100000000
χ5322-2-22-12-22-22-1-1-12-2-2-111-221111-1-1-11-11-22-2-1200i3−i3−i3i300001-1-11i3−i3−i3i3i3−i3−i3i300002-200i3−i3−i3i30000-111-100000000
χ5422-2-22-12-22-22-1-1-12-2-2-111-221111-1-1-11-11-22-2-1200i3−i3−i3i300001-1-11i3−i3−i3i3i3−i3−i3i30000-2200−i3i3i3−i300001-1-1100000000
χ55444444-2-4-4-4-4444-2-2-2-244-2-2-2-2-2-2-2-2-2-4-4-4222-4200000000002222000000000000000000000000000000000000
χ5644444-24-4-4-4-4-2-2-2444-2-2-244-2-2-2-2-2-2-2222-4-4-42-400000000002222000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-133-3-3-3-3330000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-3-33333-3-30000000000000000000000000000
χ61444-4-44-24-4-444-4-4-222-24-4-22-2-22222-244-4-222-4-20000000000-2-222000000000000000000000000000000000000
χ62444-4-4-24-444-4-2224-4-4-2-224-4-2-22222-222-2-444-2-4000000000022-2-2000000000000000000000000000000000000
χ63444-4-4-2-24-4-44-222-2221-22-2211-1-1-1-11-2-22-2222-200−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-24-4-44-222-2221-22-2211-1-1-1-11-2-22-2222-2002i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-444-4-222-2221-22-2211-1-1-1-1122-22-2-2-22000000−2i3−2i32i32i3-1-111i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-444-4-222-2221-22-2211-1-1-1-1122-22-2-2-220000002i32i3−2i3−2i3-1-111−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ6744-44-44-244-4-44-4-4-2-2-2-2-442222-2-222-24-4-4-2-22420000000000-22-22000000000000000000000000000000000000
χ6844-44-4-2444-4-4-222444-22-2-4-422-2-222-2-22244-4-2-40000000000-22-22000000000000000000000000000000000000
χ6944-44-4-2-244-4-4-222-2-2-212-222-1-111-1-11-222-2-22-2200000000001-11-13-3-33-333-30000000000000000000000000000
χ7044-44-4-2-244-4-4-222-2-2-212-222-1-111-1-11-222-2-22-2200000000001-11-1-333-33-3-330000000000000000000000000000
χ7144-44-4-2-2-4-444-222-2-2-212-222-1-111-1-112-2-222-22-24-4-22-22-22-22-11-111-11-11-11-10000000000000000000000000000
χ7244-44-4-2-2-4-444-222-2-2-212-222-1-111-1-112-2-222-22-2-442-22-22-22-2-11-11-11-11-11-110000000000000000000000000000
χ7344-4-444-2-44-44444-222-2-4-42-22222-2-2-2-44-42-224-200000000002-2-22000000000000000000000000000000000000
χ7444-4-44-244-44-4-2-2-24-4-4-222-442222-2-2-2-22-24-442-40000000000-222-2000000000000000000000000000000000000
χ7544-4-44-2-24-44-4-2-2-2-2221222-2-1-1-1-1111-22-2-22-222000000−2i32i32i3−2i31-1-11i3−i3i3−i3−i3i3−i3i30000000000000000000000000000
χ7644-4-44-2-24-44-4-2-2-2-2221222-2-1-1-1-1111-22-2-22-2220000002i3−2i3−2i32i31-1-11−i3i3−i3i3i3−i3i3−i30000000000000000000000000000
χ7744-4-44-2-2-44-44-2-2-2-2221222-2-1-1-1-11112-222-22-2-200−2i32i32i3−2i30000-111-1i3−i3−i3i3i3−i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-44-44-2-2-2-2221222-2-1-1-1-11112-222-22-2-2002i3−2i3−2i32i30000-111-1−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ798-8000880000-800-80080000000000-80000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-8004−4i34i3-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000
χ818-80008-40000-80044i3−4i3-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000
χ828-8000-4800004−4i34i3-800-400000000−4i34i340000000000000000000000000000000000000000000000000000000000
χ838-8000-48000044i3−4i3-800-4000000004i3−4i340000000000000000000000000000000000000000000000000000000000
χ848-8000-4-400004−4i34i34−4i34i3200006-62i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ858-8000-4-400004−4i34i344i3−4i320000-66−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044i3−4i34−4i34i320000-662i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044i3−4i344i3−4i3200006-6−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000

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