Finite Group Databasebeta

← Group #11794616

Character table — Group #11794616

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446612121212366666666612121212121212121212668812122424242424242424242424242424242488888888242424242424242424242424242424242288
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000002-200
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000-2200
χ11222222-122222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ12222222-122222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ13222222-122222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-2-2-1-11111-2-2-2-21111111122-2-20000-1-1-1-11111000000000000
χ14222222-122222-122-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-2-2-1-11111-2-2-2-211111111-2-22200001111-1-1-1-1000000000000
χ1522222-122222-12-1-122-1-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1622222-122222-12-1-122-1-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1722222-122222-12-1-122-1-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111000022-2-200000000-1-1-1-111110000
χ1822222-122222-12-1-122-1-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-21111111111110000-2-222000000001111-1-1-1-10000
χ19222-2-22222-2-222222222-2-22-2-22222-222222-2-2-2-2-200-2-200000000000000000000002i−2i0000000000002i2i−2i−2i0000
χ20222-2-22222-2-222222222-2-22-2-22222-222222-2-2-2-2-200-2-20000000000000000000000−2i2i000000000000−2i−2i2i2i0000
χ21222-2-222-2-22222-2-2-2-222-2-22-2-2222-22-2-2-2-2-2222-2-200220000000000000000002-20000000022-2-2000000000000
χ22222-2-222-2-22222-2-2-2-222-2-22-2-2222-22-2-2-2-2-2222-2-20022000000000000000000-2200000000-2-222000000000000
χ23222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-11-111-21122-11100-1-133−3−300003333−3−3−3−3002-2000033−3−3-1-111000000000000
χ24222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-11-111-21122-11100-1-133−3−300003333−3−3−3−300-220000−3−33311-1-1000000000000
χ25222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-11-111-21122-11100-1-1−3−3330000−3−3−3−33333002-20000−3−333-1-111000000000000
χ26222-2-22-1-2-2222-1-2-211-12-2-2-111-1-1-11-111-21122-11100-1-1−3−3330000−3−3−3−3333300-22000033−3−311-1-1000000000000
χ27222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-12-2-1-1-1-1-111-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000002i−2i0000000033−3−3−i−iii0000
χ28222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-12-2-1-1-1-1-111-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000−2i2i00000000−3−333ii−i−i0000
χ29222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-12-2-1-1-1-1-111-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000002i−2i00000000−3−333−i−iii0000
χ30222-2-2-1222-2-2-12-1-122-1-1112-2-2-1-1-12-2-1-1-1-1-111-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000−2i2i0000000033−3−3ii−i−i0000
χ3122-22-2222-22-22222-2-22-22-2-22-2-2-222-222-2-2-22-222-22i−2i2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ3222-22-2222-22-22222-2-22-22-2-22-2-2-222-222-2-2-22-222-2−2i2i2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ3322-22-222-22-2222-2-2222-22-2-22-2-2-22-22-2-2222-22-22-200-220000000000000000000000000000000000000000002-2
χ3422-22-222-22-2222-2-2222-22-2-22-2-2-22-22-2-2222-22-22-200-22000000000000000000000000000000000000000000-22
χ3522-22-22-12-22-22-12211-1-22-21-1111-1-11-1-1-2112-2-1-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii000000003−33−3−i3i3−i3i3000000000000
χ3622-22-22-12-22-22-12211-1-22-21-1111-1-11-1-1-2112-2-1-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii00000000−33−33i3−i3i3−i3000000000000
χ3722-22-22-12-22-22-12211-1-22-21-1111-1-11-1-1-2112-2-1-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i000000003−33−3i3−i3i3−i3000000000000
χ3822-22-22-12-22-22-12211-1-22-21-1111-1-11-1-1-2112-2-1-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i00000000−33−33−i3i3−i3i3000000000000
χ3922-22-2-122-22-2-12-1-1-2-2-11-11-22-211-12-2-1-1111-112-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000−i3i3−i3i33−33−30000
χ4022-22-2-122-22-2-12-1-1-2-2-11-11-22-211-12-2-1-1111-112-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000000000i3−i3i3−i3−33−330000
χ4122-22-2-122-22-2-12-1-1-2-2-11-11-22-211-12-2-1-1111-112-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000−i3i3−i3i3−33−330000
χ4222-22-2-122-22-2-12-1-1-2-2-11-11-22-211-12-2-1-1111-112-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000000000000000i3−i3i3−i33−33−30000
χ4322-2-22222-2-222222-2-22-2-22-2-22-2-222222-2-2-2-22-2-2200-22000000000000000000002i−2i00000000002i−2i−2i2i00000000
χ4422-2-22222-2-222222-2-22-2-22-2-22-2-222222-2-2-2-22-2-2200-2200000000000000000000−2i2i0000000000−2i2i2i−2i00000000
χ4522-2-2222-222-222-2-2222-2-22-2-22-2-22-2-2-2-22222-22-22002-200000000000000002-20000002-2-220000000000000000
χ4622-2-2222-222-222-2-2222-2-22-2-22-2-22-2-2-2-22222-22-22002-20000000000000000-22000000-222-20000000000000000
χ4722-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-111112-1-12-2-11-100-11−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i32-2000000-111-1−i3i3i3−i3000000000000
χ4822-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-111112-1-12-2-11-100-11−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-220000001-1-11i3−i3−i3i3000000000000
χ4922-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-111112-1-12-2-11-100-11i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i32-2000000-111-1i3−i3−i3i3000000000000
χ5022-2-222-1-222-22-1-2-2-1-1-1-2-2211-111-111112-1-12-2-11-100-11i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-220000001-1-11−i3i3i3−i3000000000000
χ5122-2-22-122-2-22-12-1-1-2-2-111-1-2-2211-122-1-11111-1-21-1001-100003−3−333−3−333−3−3300002i−2i0000000000−iii−ii3−i3−i3i30000
χ5222-2-22-122-2-22-12-1-1-2-2-111-1-2-2211-122-1-11111-1-21-1001-100003−3−333−3−333−3−330000−2i2i0000000000i−i−ii−i3i3i3−i30000
χ5322-2-22-122-2-22-12-1-1-2-2-111-1-2-2211-122-1-11111-1-21-1001-10000−333−3−333−3−333−300002i−2i0000000000−iii−i−i3i3i3−i30000
χ5422-2-22-122-2-22-12-1-1-2-2-111-1-2-2211-122-1-11111-1-21-1001-10000−333−3−333−3−333−30000−2i2i0000000000i−i−iii3−i3−i3i30000
χ55444444-2-4-4-4-44-2-4-422-2444-2-2-2-2-2-22222-422-4-42-2-2002200000000000000000000000000000000000000000000
χ5644444-24-4-4-4-4-2422-4-4-2-2-2-2444-2-2-2-4-42222222-4-2-2002200000000000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-211-211-2-2-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2-2-2111-2-211-211-2-2-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2-2-211122-1-12-1-12221100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-222221-2-2-2-2-2-211122-1-12-1-12221100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ61444-4-44-244-4-44-244-2-2-24-4-4-222-2-2-2-22-2-24-2-2-4-4222002200000000000000000000000000000000000000000000
χ62444-4-4-24-4-444-2422-4-4-2-2224-4-4-2-2-2-4422222-2-242200-2-200000000000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-2-2-2-2-21-222-222111-2211-211222-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-244-4-4-2-2-2-2-2-21-222-222111-2211-211222-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-222221-222-2221112-2-1-12-1-1-2-2-2-1-100112323−23−230000−3−3−3−333330000000000000000000000000000
χ66444-4-4-2-2-4-444-2-222221-222-2221112-2-1-12-1-1-2-2-2-1-10011−23−23232300003333−3−3−3−30000000000000000000000000000
χ6744-44-44-2-44-444-2-4-4-2-2-2-44-42-2222-22-2224-2-2-442-22002-200000000000000000000000000000000000000000000
χ6844-44-4-24-44-44-242244-22-22-44-422-2-4422-2-2-22-2-4-22002-200000000000000000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-22212-222-22-1-11-22112-1-1-22-21-14i−4i1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-22212-222-22-1-11-22112-1-1-22-21-1−4i4i1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000
χ7144-44-4-2-2-44-44-2-222-2-212-222-22-1-112-2-1-1-2112-221-100-11000000003-3-33-333-30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-222-2-212-222-22-1-112-2-1-1-2112-221-100-1100000000-333-33-3-330000000000000000000000000000
χ7344-4-444-24-4-444-24422-2-4-4422-222-2-2-2-2-2-422-4422-2002-200000000000000000000000000000000000000000000
χ7444-4-44-24-444-4-242244-222-2-4-4422-2-4-422-2-2-2-2242-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-2-2-222122-222-2-1-11-2-2112-1-12-22-1100-11000023−23−2323−333−3−333−30000000000000000000000000000
χ7644-4-44-2-24-4-44-2-2-2-222122-222-2-1-11-2-2112-1-12-22-1100-110000−232323−233−3−333−3−330000000000000000000000000000
χ7744-4-44-2-2-444-4-2-222-2-2122-222-2-1-1122-1-1-211-22-2-11001-1−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-4-2-222-2-2122-222-2-1-1122-1-1-211-22-2-11001-12i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000
χ798-8000880000-8-80000800000000-8000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-40000000040000043−4300000000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-400000000400000−434300000000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-40000000040043−4300000000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-400000000400−434300000000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−4320000006-6-200−23230−232300000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−43432000000-66-200−2323023−2300000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−432000000-66-20023−230−232300000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−434320000006-6-20023−23023−2300000000000000000000000000000000000000000000000000000

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