Finite Group Databasebeta

← Group #11795050

Character table — Group #11795050

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446612121212366666666612121212121212121212668812122424242424242424242424242424242444448888121212121212121224242424242424244488
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000002i−2i
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000−2i2i
χ11222222-122222-122-1-1-12-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ12222222-122222-122-1-1-12-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ13222222-122222-122-1-1-12-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111000022-2-2000000001111-1-1-1-10000
χ14222222-122222-122-1-1-12-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-22200000000-1-1-1-111110000
χ1522222-122222-12-1-122-1-1222-1-1-1-1-1-1-122-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ1622222-122222-12-1-122-1-1222-1-1-1-1-1-1-122-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ1722222-122222-12-1-122-1-1222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000
χ1822222-122222-12-1-122-1-1222-1-1-1-1-1-1-122-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000
χ19222-2-2222-22-2222222222-2-2222-2-2-2-22-222222-2-2-200-2-200000000000000002i−2i0000002i2i−2i−2i0000000000000000
χ20222-2-2222-22-2222222222-2-2222-2-2-2-22-222222-2-2-200-2-20000000000000000−2i2i000000−2i−2i2i2i0000000000000000
χ21222-2-222-22-2222-2-2-2-2222-2-2222-2-222-22-2-2-2-2-22-2-2002200000000000000000000002i−2i000000002i2i−2i−2i00000000
χ22222-2-222-22-2222-2-2-2-2222-2-2222-2-222-22-2-2-2-2-22-2-200220000000000000000000000−2i2i00000000−2i−2i2i2i00000000
χ23222-2-22-1-22-222-1-2-211-12-111-1-1-1-2-2221-111-211-11100-1-133−3−300003333−3−3−3−30000002i−2i00000000−i−iii−i3−i3i3i30000
χ24222-2-22-1-22-222-1-2-211-12-111-1-1-1-2-2221-111-211-11100-1-133−3−300003333−3−3−3−3000000−2i2i00000000ii−i−ii3i3−i3−i30000
χ25222-2-22-1-22-222-1-2-211-12-111-1-1-1-2-2221-111-211-11100-1-1−3−3330000−3−3−3−333330000002i−2i00000000−i−iiii3i3−i3−i30000
χ26222-2-22-1-22-222-1-2-211-12-111-1-1-1-2-2221-111-211-11100-1-1−3−3330000−3−3−3−33333000000−2i2i00000000ii−i−i−i3−i3i3i30000
χ27222-2-2-122-22-2-12-1-122-1-12-2-2-1-1-111112-2-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32i−2i000000−i−iii33−3−3000000000000
χ28222-2-2-122-22-2-12-1-122-1-12-2-2-1-1-111112-2-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−2i2i000000ii−i−i−3−333000000000000
χ29222-2-2-122-22-2-12-1-122-1-12-2-2-1-1-111112-2-1-1-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32i−2i000000−i−iii−3−333000000000000
χ30222-2-2-122-22-2-12-1-122-1-12-2-2-1-1-111112-2-1-1-1-1-1-21100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−2i2i000000ii−i−i33−3−3000000000000
χ3122-22-22222-2-22222-2-22-2-22-2-2-222-22-22-222-2-2-222-22i−2i2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ3222-22-22222-2-22222-2-22-2-22-2-2-222-22-22-222-2-2-222-2−2i2i2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ3322-22-222-2-22222-2-2222-2-22-2-2-222-2-22-22-2-2222-22-200-2200000000000000000000000000000000000000002-200
χ3422-22-222-2-22222-2-2222-2-22-2-2-222-2-22-22-2-2222-22-200-220000000000000000000000000000000000000000-2200
χ3522-22-22-122-2-22-12211-1-21-1111-12-22-2-11-1-1-211-1-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii00000000000000003−33−3−i3i3−i3i30000
χ3622-22-22-122-2-22-12211-1-21-1111-12-22-2-11-1-1-211-1-112i−2i-11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000000000000000−33−33i3−i3i3−i30000
χ3722-22-22-122-2-22-12211-1-21-1111-12-22-2-11-1-1-211-1-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i00000000000000003−33−3i3−i3i3−i30000
χ3822-22-22-122-2-22-12211-1-21-1111-12-22-2-11-1-1-211-1-11−2i2i-11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000000000000000−33−33−i3i3−i3i30000
χ3922-22-2-1222-2-2-12-1-1-2-2-11-22-211-1-11-112-2-1-11112-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii000000003−33−3−i3i3−i3i3000000000000
χ4022-22-2-1222-2-2-12-1-1-2-2-11-22-211-1-11-112-2-1-11112-112i−2i-112i−2i2i−2i−ii−ii−ii−ii−ii−ii00000000−33−33i3−i3i3−i3000000000000
χ4122-22-2-1222-2-2-12-1-1-2-2-11-22-211-1-11-112-2-1-11112-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i000000003−33−3i3−i3i3−i3000000000000
χ4222-22-2-1222-2-2-12-1-1-2-2-11-22-211-1-11-112-2-1-11112-11−2i2i-11−2i2i−2i2ii−ii−ii−ii−ii−ii−i00000000−33−33−i3i3−i3i3000000000000
χ4322-2-22222-2-222222-2-22-2-2-22-2-22-22-222222-2-2-2-2-2200-220000000000000000002i−2i000000002i−2i−2i2i000000000000
χ4422-2-22222-2-222222-2-22-2-2-22-2-22-22-222222-2-2-2-2-2200-22000000000000000000−2i2i00000000−2i2i2i−2i000000000000
χ4522-2-2222-222-222-2-2222-2-2-22-2-22-222-2-2-2-2-22222-22002-2000000000000000000002-2000000000000002-2-220000
χ4622-2-2222-222-222-2-2222-2-2-22-2-22-222-2-2-2-2-22222-22002-200000000000000000000-2200000000000000-222-20000
χ4722-2-222-1-222-22-1-2-2-1-1-1-211-111-1-222-211112-1-1-11-100-11−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i300002-20000000000−i3i3i3−i3-111-10000
χ4822-2-222-1-222-22-1-2-2-1-1-1-211-111-1-222-211112-1-1-11-100-11−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i30000-220000000000i3−i3−i3i31-1-110000
χ4922-2-222-1-222-22-1-2-2-1-1-1-211-111-1-222-211112-1-1-11-100-11i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i300002-20000000000i3−i3−i3i3-111-10000
χ5022-2-222-1-222-22-1-2-2-1-1-1-211-111-1-222-211112-1-1-11-100-11i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i30000-220000000000−i3i3i3−i31-1-110000
χ5122-2-22-122-2-22-12-1-1-2-2-11-2-2211-11-11-122-1-1111-21-1001-100003−3−333−3−333−3−33002i−2i0000i3−i3−i3i3−iii−i000000000000
χ5222-2-22-122-2-22-12-1-1-2-2-11-2-2211-11-11-122-1-1111-21-1001-100003−3−333−3−333−3−3300−2i2i0000−i3i3i3−i3i−i−ii000000000000
χ5322-2-22-122-2-22-12-1-1-2-2-11-2-2211-11-11-122-1-1111-21-1001-10000−333−3−333−3−333−3002i−2i0000−i3i3i3−i3−iii−i000000000000
χ5422-2-22-122-2-22-12-1-1-2-2-11-2-2211-11-11-122-1-1111-21-1001-10000−333−3−333−3−333−300−2i2i0000i3−i3−i3i3i−i−ii000000000000
χ55444444-2-4-4-4-44-2-4-422-24-2-2-2-2-2-244-4-42222-4222-2-2002200000000000000000000000000000000000000000000
χ5644444-24-4-4-4-4-2422-4-4-2-2444-2-2-2-2-222-4-422222-4-2-2002200000000000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-22222-1-12-1-121100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-222221-2-2-2-2111-2-22222-1-12-1-121100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ61444-4-44-24-44-44-244-2-2-24-222-2-2-2-4-4-4-4-22-2-24-2-2222002200000000000000000000000000000000000000000000
χ62444-4-4-24-44-44-2422-4-4-2-24-4-4-2-2-222-2-2-442222242200-2-200000000000000000000000000000000000000000000
χ63444-4-4-2-24-44-4-2-2-2-2-2-21-2-2221112222-2211-2112-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-24-44-4-2-2-2-2-2-21-2-2221112222-2211-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-44-44-2-222221-2-22211122-2-22-2-1-12-1-1-2-1-100112323−23−230000−3−3−3−333330000000000000000000000000000
χ66444-4-4-2-2-44-44-2-222221-2-22211122-2-22-2-1-12-1-1-2-1-10011−23−23232300003333−3−3−3−30000000000000000000000000000
χ6744-44-44-2-4-4444-2-4-4-2-2-2-42-2222-24-4-442-2224-2-22-22002-200000000000000000000000000000000000000000000
χ6844-44-4-24-4-444-242244-22-44-422-2-222-2-4422-2-2-2-4-22002-200000000000000000000000000000000000000000000
χ6944-44-4-2-244-4-4-2-2-2-222122-22-1-11-22-22-22112-1-1-21-14i−4i1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000
χ7044-44-4-2-244-4-4-2-2-2-222122-22-1-11-22-22-22112-1-1-21-1−4i4i1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000
χ7144-44-4-2-2-4-444-2-222-2-2122-22-1-11-222-22-2-1-1-21121-100-11000000003-3-33-333-30000000000000000000000000000
χ7244-44-4-2-2-4-444-2-222-2-2122-22-1-11-222-22-2-1-1-21121-100-1100000000-333-33-3-330000000000000000000000000000
χ7344-4-444-24-4-444-24422-2-422-222-2-44-44-2-2-2-2-42222-2002-200000000000000000000000000000000000000000000
χ7444-4-44-24-444-4-242244-22-4-4422-22-2-22-4-422-2-2-242-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-2-2-2221222-2-1-112-22-2-2-2112-1-12-1100-11000023−23−2323−333−3−333−30000000000000000000000000000
χ7644-4-44-2-24-4-44-2-2-2-2221222-2-1-112-22-2-2-2112-1-12-1100-110000−232323−233−3−333−3−330000000000000000000000000000
χ7744-4-44-2-2-444-4-2-222-2-21222-2-1-112-2-2222-1-1-211-2-11001-1−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-4-2-222-2-21222-2-1-112-2-2222-1-1-211-2-11001-12i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i30000000000000000000000000000
χ798-8000880000-8-800008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-840043−43-4000000400000000043−43000000000000000000000000000000000000000000000000000
χ818-80008-40000-8400−4343-40000004000000000−4343000000000000000000000000000000000000000000000000000
χ828-8000-4800004-843−4300-4000000400000043−43000000000000000000000000000000000000000000000000000000
χ838-8000-4800004-8−434300-40000004000000−4343000000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−43200006-6-2000000−23230−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−434320000-66-2000000−2323023−23000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−4320000-66-200000023−230−2323000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−4343200006-6-200000023−23023−23000000000000000000000000000000000000000000000000000

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