Finite Group Databasebeta

← Group #11793139

Character table — Group #11793139

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222222233666666366666666666666666664466661212121212121212121212121212121244444444121212121212121212121212121212122444
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
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ92222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ102222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000
χ112222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-1-1-1-1-2-2-2-21111111111112200-2-200-1-1-1-11111000000000000
χ122222222222-12-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-2-2-1-1-1-1-2-2-2-2111111111111-2-20022001111-1-1-1-1000000000000
χ13222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ14222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000
χ15222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-12-1-1-1-12-2-2-1-1-1-11111-2-2-2-211111111002200-2-200000000-1-1-1-111110000
χ16222222222-12-12-1-122-1-1-1-1-12222-1-1-1-1-12-1-1-1-12-2-2-1-1-1-11111-2-2-2-21111111100-2-20022000000001111-1-1-1-10000
χ1722222-2-2-2-22222-2-2-2-22222-2222-2222-2-2-2-2-2-2-2-20022-2-200000000000000000000000000000000000000002-200
χ1822222-2-2-2-22222-2-2-2-22222-2222-2222-2-2-2-2-2-2-2-20022-2-20000000000000000000000000000000000000000-2200
χ19222-2-222-2-22222222222-2-222-2-2-222222222-2-2-200-2-2-2-20000000000000000002i−2i0000000000002i2i−2i−2i00000000
χ20222-2-222-2-22222222222-2-222-2-2-222222222-2-2-200-2-2-2-2000000000000000000−2i2i000000000000−2i−2i2i2i00000000
χ21222-2-222-2-2-12-12-1-122-1-111-12-2-2-2-1-1-1-1-12-1-111-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3002i−2i000000000000−i−iii33−3−30000
χ22222-2-222-2-2-12-12-1-122-1-111-12-2-2-2-1-1-1-1-12-1-111-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300−2i2i000000000000ii−i−i−3−3330000
χ23222-2-222-2-2-12-12-1-122-1-111-12-2-2-2-1-1-1-1-12-1-111-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3002i−2i000000000000−i−iii−3−3330000
χ24222-2-222-2-2-12-12-1-122-1-111-12-2-2-2-1-1-1-1-12-1-111-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−2i2i000000000000ii−i−i33−3−30000
χ25222-2-2-2-2222222-2-2-2-222-2-2-22-2-22222-2-2-2-2-222200-2-222000000000000000000002-200000022-2-2000000000000
χ26222-2-2-2-2222222-2-2-2-222-2-2-22-2-22222-2-2-2-2-222200-2-22200000000000000000000-22000000-2-222000000000000
χ27222-2-2-2-2222-12-1-2-211-12-2-2-2-111-1-1-1-11111122-10011-1-1000033−3−333−3−333−3−300002-20033−3−3-1-111000000000000
χ28222-2-2-2-2222-12-1-2-211-12-2-2-2-111-1-1-1-11111122-10011-1-1000033−3−333−3−333−3−30000-2200−3−33311-1-1000000000000
χ29222-2-2-2-2222-12-1-2-211-12-2-2-2-111-1-1-1-11111122-10011-1-10000−3−333−3−333−3−33300002-200−3−333-1-111000000000000
χ30222-2-2-2-2222-12-1-2-211-12-2-2-2-111-1-1-1-11111122-10011-1-10000−3−333−3−333−3−3330000-220033−3−311-1-1000000000000
χ3122-22-22-22-2222222-2-22-22-2-2-22-222-2-2-2-22222-2-2002-22-200000000000000002i−2i0000002i−2i2i−2i0000000000000000
χ3222-22-22-22-2222222-2-22-22-2-2-22-222-2-2-2-22222-2-2002-22-20000000000000000−2i2i000000−2i2i−2i2i0000000000000000
χ3322-22-22-22-22-12-12211-1-22-2-21-11-1-11111-1-1-12-2100-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i−2i000000−ii−ii3−33−3000000000000
χ3422-22-22-22-22-12-12211-1-22-2-21-11-1-11111-1-1-12-2100-11-110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−2i2i000000i−ii−i−33−33000000000000
χ3522-22-22-22-22-12-12211-1-22-2-21-11-1-11111-1-1-12-2100-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32i−2i000000−ii−ii−33−33000000000000
χ3622-22-22-22-22-12-12211-1-22-2-21-11-1-11111-1-1-12-2100-11-110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i2i000000i−ii−i3−33−3000000000000
χ3722-22-2-22-222222-2-2222-22-22-22-2-22-2-222-2-2-2-222002-2-2200000000000000000000002-20000000000002-22-20000
χ3822-22-2-22-222222-2-2222-22-22-22-2-22-2-222-2-2-2-222002-2-220000000000000000000000-22000000000000-22-220000
χ3922-22-2-22-22-12-121122-11-11-1-22-2-2-111-1-1-2111-1200-111-13−33−300003−3−33−333−30000002-2000000003−33−3-11-110000
χ4022-22-2-22-22-12-121122-11-11-1-22-2-2-111-1-1-2111-1200-111-13−33−300003−3−33−333−3000000-2200000000−33−331-11-10000
χ4122-22-2-22-22-12-121122-11-11-1-22-2-2-111-1-1-2111-1200-111-1−33−330000−333−33−3−330000002-200000000−33−33-11-110000
χ4222-22-2-22-22-12-121122-11-11-1-22-2-2-111-1-1-2111-1200-111-1−33−330000−333−33−3−33000000-22000000003−33−31-11-10000
χ4322-2-222-2-22222222-2-22-2-22-2-2-22-22-2-2-2-2222-22200-22-220000000000000000000000000000000000000000002-2
χ4422-2-222-2-22222222-2-22-2-22-2-2-22-22-2-2-2-2222-22200-22-22000000000000000000000000000000000000000000-22
χ4522-2-22-222-22222-2-2222-2-222-2-2222-2-222-2-2-22-2-22i−2i-222-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ4622-2-22-222-22222-2-2222-2-222-2-2222-2-222-2-2-22-2-2−2i2i-222-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ4722-2-22-222-22-12-1-2-2-1-1-1-2-22211-1-1-111-1-11112-212i−2i1-1-112i−2i−2i2i−iii−i−iii−i−iii−i00000000−i3i3i3−i3−333−3000000000000
χ4822-2-22-222-22-12-1-2-2-1-1-1-2-22211-1-1-111-1-11112-212i−2i1-1-112i−2i−2i2i−iii−i−iii−i−iii−i00000000i3−i3−i3i33−3−33000000000000
χ4922-2-22-222-22-12-1-2-2-1-1-1-2-22211-1-1-111-1-11112-21−2i2i1-1-11−2i2i2i−2ii−i−iii−i−iii−i−ii00000000−i3i3i3−i33−3−33000000000000
χ5022-2-22-222-22-12-1-2-2-1-1-1-2-22211-1-1-111-1-11112-21−2i2i1-1-11−2i2i2i−2ii−i−iii−i−iii−i−ii00000000i3−i3−i3i3−333−3000000000000
χ5122-2-22-222-2-12-121122-111-1-1-2-222-111-1-1-211-11-22i−2i1-1-11−iii−i2i−2i−2i2i−iii−i−iii−i0000000000000000−i3i3i3−i3−333−30000
χ5222-2-22-222-2-12-121122-111-1-1-2-222-111-1-1-211-11-22i−2i1-1-11−iii−i2i−2i−2i2i−iii−i−iii−i0000000000000000i3−i3−i3i33−3−330000
χ5322-2-22-222-2-12-121122-111-1-1-2-222-111-1-1-211-11-2−2i2i1-1-11i−i−ii−2i2i2i−2ii−i−iii−i−ii0000000000000000−i3i3i3−i33−3−330000
χ5422-2-22-222-2-12-121122-111-1-1-2-222-111-1-1-211-11-2−2i2i1-1-11i−i−ii−2i2i2i−2ii−i−iii−i−ii0000000000000000i3−i3−i3i3−333−30000
χ55444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-2-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ56444444444-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-2-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5744444-4-4-4-44-24-2-4-422-2444-4-2-2-22-2-2-222222-4-4200-2-22200000000000000000000000000000000000000000000
χ5844444-4-4-4-4-24-2422-4-4-2-2-2-22444-4-2-2-222-42222-400-2-22200000000000000000000000000000000000000000000
χ5944444-4-4-4-4-2-2-2-222221-2-2-22-2-2-22111-1-12-1-12220011-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ6044444-4-4-4-4-2-2-2-222221-2-2-22-2-2-22111-1-12-1-12220011-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ61444-4-444-4-44-24-244-2-2-24-4-44-2222-2-2-2-2-2-2-2-2-4-4200222200000000000000000000000000000000000000000000
χ62444-4-444-4-4-2-2-2-2-2-2-2-21-222-2-222211111-21122200-1-1-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ63444-4-444-4-4-2-2-2-2-2-2-2-21-222-2-222211111-21122200-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ64444-4-4-4-444-24-2422-4-4-2-22224-4-44-2-2-222-422-2-240022-2-200000000000000000000000000000000000000000000
χ65444-4-4-4-444-2-2-2-222221-2222-222-2111-1-12-1-1-2-2-200-1-11100002323−23−23−3−333−3−3330000000000000000000000000000
χ66444-4-4-4-444-2-2-2-222221-2222-222-2111-1-12-1-1-2-2-200-1-1110000−23−23232333−3−333−3−30000000000000000000000000000
χ6744-44-44-44-4-24-24-2-2-4-4-22-222-44-44-222224-2-2-22-400-22-2200000000000000000000000000000000000000000000
χ6844-44-44-44-4-2-2-2-2-2-22212-2222-22-21-1-1-1-1-211-222001-11-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ6944-44-44-44-4-2-2-2-2-2-22212-2222-22-21-1-1-1-1-211-222001-11-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7044-44-4-44-444-24-2-4-4-2-2-2-44-442-222-222-2-2222-44-200-222-200000000000000000000000000000000000000000000
χ7144-44-4-44-44-2-2-2-222-2-212-22-22-2221-1-1112-1-12-2-2001-1-1123−2323−230000−333−33−3−330000000000000000000000000000
χ7244-44-4-44-44-2-2-2-222-2-212-22-22-2221-1-1112-1-12-2-2001-1-11−2323−232300003−3−33−333−30000000000000000000000000000
χ7344-4-444-4-444-24-24422-2-4-44-422-22-22222-2-2-2-44-2002-22-200000000000000000000000000000000000000000000
χ7444-4-444-4-44-24-24-2-2-4-4-222-22-4-44-4-222224-2-22-24002-22-200000000000000000000000000000000000000000000
χ7544-4-444-4-44-2-2-2-2-2-222122-2222-221-1-1-1-1-2112-2-200-11-11000000003-33-3-33-330000000000000000000000000000
χ7644-4-444-4-44-2-2-2-2-2-222122-2222-221-1-1-1-1-2112-2-200-11-1100000000-33-333-33-30000000000000000000000000000
χ7744-4-44-444-4-2-2-2-222-2-2122-2-222-2-21-1-1112-1-1-2224i−4i-111-1−2i2i2i−2i−2i2i2i−2ii−i−iii−i−ii0000000000000000000000000000
χ7844-4-44-444-4-2-2-2-222-2-2122-2-222-2-21-1-1112-1-1-222−4i4i-111-12i−2i−2i2i2i−2i−2i2i−iii−i−iii−i0000000000000000000000000000
χ798-8000000088-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000
χ808-800000008-4-8400−4i34i3-400000000400−4i34i300000000000000000000000000000000000000000000000000000000
χ818-800000008-4-84004i3−4i3-4000000004004i3−4i300000000000000000000000000000000000000000000000000000000
χ828-80000000-484-8−4i34i300-400000000400000−4i34i300000000000000000000000000000000000000000000000000000
χ838-80000000-484-84i3−4i300-4000000004000004i3−4i300000000000000000000000000000000000000000000000000000
χ848-80000000-4-444−4i34i3−4i34i3200000000-26-62i3−2i302i3−2i300000000000000000000000000000000000000000000000000000
χ858-80000000-4-444−4i34i34i3−4i3200000000-2-66−2i32i302i3−2i300000000000000000000000000000000000000000000000000000
χ868-80000000-4-4444i3−4i3−4i34i3200000000-2-662i3−2i30−2i32i300000000000000000000000000000000000000000000000000000
χ878-80000000-4-4444i3−4i34i3−4i3200000000-26-6−2i32i30−2i32i300000000000000000000000000000000000000000000000000000

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