Finite Group Databasebeta

← Group #11793135

Character table — Group #11793135

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222222233666666366666666666666666664466661212121212121212121212121212121244444444121212121212121212121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ92222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-100000000
χ102222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200001111111100000000
χ112222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-211111111000022-2-20000-1-1-1-1111100000000
χ122222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-2111111110000-2-22200001111-1-1-1-100000000
χ13222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-10000
χ14222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011110000000011110000
χ15222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-10000000011110000
χ16222222222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2111111111111-2-2220000111100000000-1-1-1-10000
χ1722222-2-2-2-22222-2-2-2-22222-2222-2-2-2222-2-2-2-2-2-20022-2-200000000000000000000000000000000000000002-200
χ1822222-2-2-2-22222-2-2-2-22222-2222-2-2-2222-2-2-2-2-2-20022-2-20000000000000000000000000000000000000000-2200
χ19222-2-222-2-2222222-2-222-2-2-22-2-222-22-2-222-2-2-22002-22-20000000000000000000000000000000000000000002i−2i
χ20222-2-222-2-2222222-2-222-2-2-22-2-222-22-2-222-2-2-22002-22-2000000000000000000000000000000000000000000−2i2i
χ21222-2-2-2-2222222-2-22222-2-222-2-2-2-222-2-2-2-2222-22-22-2-2222-2-222-2-22222-2-2-2-20000000000000000000000000000
χ22222-2-2-2-2222222-2-22222-2-222-2-2-2-222-2-2-2-2222-2-222-2-22-2-222-2-222-2-2-2-222220000000000000000000000000000
χ23222-2-2-2-2222-12-1-2-2-1-1-12-2-22-11111-1-111112-1-1-22-2-111-1-1-11122-2-2-1-1-1-11111000000000000−i3−i3i3i3−i3−i3i3i300000000
χ24222-2-2-2-2222-12-1-2-2-1-1-12-2-22-11111-1-111112-1-1-22-2-111-1-1-11122-2-2-1-1-1-11111000000000000i3i3−i3−i3i3i3−i3−i300000000
χ25222-2-2-2-2222-12-1-2-2-1-1-12-2-22-11111-1-111112-1-1-2-22-111-111-1-1-2-2221111-1-1-1-1000000000000−i3−i3i3i3i3i3−i3−i300000000
χ26222-2-2-2-2222-12-1-2-2-1-1-12-2-22-11111-1-111112-1-1-2-22-111-111-1-1-2-2221111-1-1-1-1000000000000i3i3−i3−i3−i3−i3i3i300000000
χ27222-2-2-2-222-12-121122-1-111-12-2-2-2-22-11111-1-1-112-2-111-122-2-2-1-111-1-1-1-111110000000033−3−30000000033−3−30000
χ28222-2-2-2-222-12-121122-1-111-12-2-2-2-22-11111-1-1-112-2-111-122-2-2-1-111-1-1-1-1111100000000−3−33300000000−3−3330000
χ29222-2-2-2-222-12-121122-1-111-12-2-2-2-22-11111-1-1-11-22-111-1-2-22211-1-11111-1-1-1-10000000033−3−300000000−3−3330000
χ30222-2-2-2-222-12-121122-1-111-12-2-2-2-22-11111-1-1-11-22-111-1-2-22211-1-11111-1-1-1-100000000−3−3330000000033−3−30000
χ3122-22-22-22-2222222222-22-2-2-22-22-2-222222222-200-2-2-2-2000000000000000000002-20000002-22-2000000000000
χ3222-22-22-22-2222222222-22-2-2-22-22-2-222222222-200-2-2-2-200000000000000000000-22000000-22-22000000000000
χ3322-22-22-22-22-12-122-1-1-1-22-2-21-11-111-1-1-1-1-12-1-1-2001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300002-2000000-11-11−i3i3−i3i300000000
χ3422-22-22-22-22-12-122-1-1-1-22-2-21-11-111-1-1-1-1-12-1-1-2001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i30000-220000001-11-1i3−i3i3−i300000000
χ3522-22-22-22-22-12-122-1-1-1-22-2-21-11-111-1-1-1-1-12-1-1-2001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i300002-2000000-11-11i3−i3i3−i300000000
χ3622-22-22-22-22-12-122-1-1-1-22-2-21-11-111-1-1-1-1-12-1-1-2001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i30000-220000001-11-1−i3i3−i3i300000000
χ3722-22-2-22-222222-2-2-2-22-22-22-22-2-222222-2-2-2-2-2200-2-22200000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ3822-22-2-22-222222-2-2-2-22-22-22-22-2-222222-2-2-2-2-2200-2-2220000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ3922-22-2-22-22-12-1211-2-2-11-11-1-22-2-222-1-1-111111-10011-1-100003−33−33−33−33−33−32i−2i000000−ii−ii00000000−i3i3−i3i30000
χ4022-22-2-22-22-12-1211-2-2-11-11-1-22-2-222-1-1-111111-10011-1-100003−33−33−33−33−33−3−2i2i000000i−ii−i00000000i3−i3i3−i30000
χ4122-22-2-22-22-12-1211-2-2-11-11-1-22-2-222-1-1-111111-10011-1-10000−33−33−33−33−33−332i−2i000000−ii−ii00000000i3−i3i3−i30000
χ4222-22-2-22-22-12-1211-2-2-11-11-1-22-2-222-1-1-111111-10011-1-10000−33−33−33−33−33−33−2i2i000000i−ii−i00000000−i3i3−i3i30000
χ4322-2-222-2-22222222-2-22-2-222-2-222-222-2-222-2-2-2-200-22-220000000000000000002i−2i00000000000000002i−2i−2i2i0000
χ4422-2-222-2-22222222-2-22-2-222-2-222-222-2-222-2-2-2-200-22-22000000000000000000−2i2i0000000000000000−2i2i2i−2i0000
χ4522-2-222-2-22-12-12-1-1-2-2-111-1-1-2-222-22-111-1-11111001-11-100003−3−333−33−3−33−33002i−2i0000i3−i3−i3i300000000−iii−i0000
χ4622-2-222-2-22-12-12-1-1-2-2-111-1-1-2-222-22-111-1-11111001-11-100003−3−333−33−3−33−3300−2i2i0000−i3i3i3−i300000000i−i−ii0000
χ4722-2-222-2-22-12-12-1-1-2-2-111-1-1-2-222-22-111-1-11111001-11-10000−333−3−33−333−33−3002i−2i0000−i3i3i3−i300000000−iii−i0000
χ4822-2-222-2-22-12-12-1-1-2-2-111-1-1-2-222-22-111-1-11111001-11-10000−333−3−33−333−33−300−2i2i0000i3−i3−i3i300000000i−i−ii0000
χ4922-2-22-222-22222-2-2222-2-22-2-2-22-22-22-2-2-2-2222200-222-200000000000000000000002-2000000002-2-2200000000
χ5022-2-22-222-22222-2-2222-2-22-2-2-22-22-22-2-2-2-2222200-222-20000000000000000000000-2200000000-222-200000000
χ5122-2-22-222-22-12-1-2-2-1-1-1-2-22-211-11-11-111112-1-12001-1-11−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i30000002-20000−i3i3i3−i3-111-100000000
χ5222-2-22-222-22-12-1-2-2-1-1-1-2-22-211-11-11-111112-1-12001-1-11−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i3000000-220000i3−i3−i3i31-1-1100000000
χ5322-2-22-222-22-12-1-2-2-1-1-1-2-22-211-11-11-111112-1-12001-1-11i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i30000002-20000i3−i3−i3i3-111-100000000
χ5422-2-22-222-22-12-1-2-2-1-1-1-2-22-211-11-11-111112-1-12001-1-11i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i3000000-220000−i3i3i3−i31-1-1100000000
χ55444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ56444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-211111-211-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5744444-4-4-4-44-24-2-4-422-2444-4-2-2-2222-2-2-222-422-400-2-22200000000000000000000000000000000000000000000
χ5844444-4-4-4-4-24-2422-4-4-2-2-2-22444-4-4-4-2-2-222222200-2-22200000000000000000000000000000000000000000000
χ5944444-4-4-4-4-2-2-2-222221-2-2-22-2-2-2222111-1-12-1-120011-1-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000
χ6044444-4-4-4-4-2-2-2-222221-2-2-22-2-2-2222111-1-12-1-120011-1-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000
χ61444-4-444-4-44-24-24422-24-4-4-4-222-2-22-222-2-2-422400-22-2200000000000000000000000000000000000000000000
χ62444-4-444-4-4-24-24-2-2-4-4-2-22224-4-444-4-222-2-2222-200-22-2200000000000000000000000000000000000000000000
χ63444-4-444-4-4-2-2-2-2-2-2221-2222-222-2-221-1-1112-1-1-2001-11-1000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ64444-4-444-4-4-2-2-2-2-2-2221-2222-222-2-221-1-1112-1-1-2001-11-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ65444-4-4-4-444-2-2-2-222-2-21-222-2-22222-21-1-1-1-1-21124-41-1-11-2-222-2-2221111-1-1-1-10000000000000000000000000000
χ66444-4-4-4-444-2-2-2-222-2-21-222-2-22222-21-1-1-1-1-2112-441-1-1122-2-222-2-2-1-1-1-111110000000000000000000000000000
χ6744-44-44-44-4-24-24-2-244-22-222-44-44-4-4-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000
χ6844-44-44-44-4-2-2-2-2-2-2-2-212-2222-22-22211111-211200-1-1-1-1−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ6944-44-44-44-4-2-2-2-2-2-2-2-212-2222-22-22211111-211200-1-1-1-12i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ7044-44-4-44-444-24-2-4-422-2-44-442-222-2-2-2-2-222-42240022-2-200000000000000000000000000000000000000000000
χ7144-44-4-44-44-2-2-2-2222212-22-22-222-2-2111-1-12-1-1-200-1-111000023−2323−23−33−33−33−330000000000000000000000000000
χ7244-44-4-44-44-2-2-2-2222212-22-22-222-2-2111-1-12-1-1-200-1-1110000−2323−23233−33−33−33−30000000000000000000000000000
χ7344-4-444-4-444-24-24422-2-4-44422-2-22-2-222-2-2-422-4002-22-200000000000000000000000000000000000000000000
χ7444-4-444-4-44-2-2-2-2-2-222122-2-222-2-22-21-1-1112-1-1200-11-11000023−23−2323−33−333−33−30000000000000000000000000000
χ7544-4-444-4-44-2-2-2-2-2-222122-2-222-2-22-21-1-1112-1-1200-11-110000−232323−233−33−3−33−330000000000000000000000000000
χ7644-4-44-444-4-24-242244-222-22-4-44-44-4-22222-2-2-2-2002-2-2200000000000000000000000000000000000000000000
χ7744-4-44-444-4-2-2-2-222-2-2122-2222-22-221-1-1-1-1-211-200-111-1−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i30000000000000000000000000000
χ7844-4-44-444-4-2-2-2-222-2-2122-2222-22-221-1-1-1-1-211-200-111-12i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i30000000000000000000000000000
χ798-8000000088-8-8000080000000000-80000000000000000000000000000000000000000000000000000000000
χ808-800000008-4-8400−4i34i3-40000000000400000−4i34i3000000000000000000000000000000000000000000000000000
χ818-800000008-4-84004i3−4i3-400000000004000004i3−4i3000000000000000000000000000000000000000000000000000
χ828-80000000-484-8−4i34i300-40000000000400−4i34i3000000000000000000000000000000000000000000000000000000
χ838-80000000-484-84i3−4i300-400000000004004i3−4i3000000000000000000000000000000000000000000000000000000
χ848-80000000-4-444−4i34i3−4i34i320000000000-26-62i3−2i302i3−2i3000000000000000000000000000000000000000000000000000
χ858-80000000-4-444−4i34i34i3−4i320000000000-2-662i3−2i30−2i32i3000000000000000000000000000000000000000000000000000
χ868-80000000-4-4444i3−4i3−4i34i320000000000-2-66−2i32i302i3−2i3000000000000000000000000000000000000000000000000000
χ878-80000000-4-4444i3−4i34i3−4i320000000000-26-6−2i32i30−2i32i3000000000000000000000000000000000000000000000000000

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