Finite Group Databasebeta

← Group #11792367

Character table — Group #11792367

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444661212121236666666661212121212121212121224666666666612121212121212121212244466888812121212121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000000000000000000000000000002-2
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000-22
χ11222222-122222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200-1-12200-1-100000000-1-1-1-10000
χ12222222-122222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20011-2-200110000000011110000
χ13222222-122222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111112200-1-1-2-200-1-10000000011110000
χ14222222-122222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111-2-2001122001100000000-1-1-1-10000
χ1522222-122222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1002200002200-1-1-1-1-1-1-1-100000000
χ1622222-122222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-2-2001111111100000000
χ1722222-122222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100220000-2-200-1-1-1-1111100000000
χ1822222-122222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100-2-2000022001111-1-1-1-100000000
χ19222-2-22222-2-22222-2-222-22-2-2-2-22-222-22-222-2-2-20000002-2000000002-20000002i−2i000000002i2i−2i−2i000000000000
χ20222-2-22222-2-22222-2-222-22-2-2-2-22-222-22-222-2-2-20000002-2000000002-2000000−2i2i00000000−2i−2i2i2i000000000000
χ21222-2-222-2-22222-2-22222-22-2-2-2-22-2-2-22-22-2-22220000002-200000000-2200002-200220000-2-20000000000000000
χ22222-2-222-2-22222-2-22222-22-2-2-2-22-2-2-22-22-2-22220000002-200000000-220000-2200-2-20000220000000000000000
χ23222-2-22-1-2-2222-11122-12-2-11111-1-2-2-221-111-1-1-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i32-200-1-100001100000000−i3−i3i3i30000
χ24222-2-22-1-2-2222-11122-12-2-11111-1-2-2-221-111-1-1-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i3-2200110000-1-100000000i3i3−i3−i30000
χ25222-2-22-1-2-2222-11122-12-2-11111-1-2-2-221-111-1-1-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i32-200-1-100001100000000i3i3−i3−i30000
χ26222-2-22-1-2-2222-11122-12-2-11111-1-2-2-221-111-1-1-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i3-2200110000-1-100000000−i3−i3i3i30000
χ27222-2-2-1222-2-2-122211-1-112-2-211-11-1-112-2-1-111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i3002i−2i00000000−i−iii33−3−300000000
χ28222-2-2-1222-2-2-122211-1-112-2-211-11-1-112-2-1-111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300−2i2i00000000ii−i−i−3−33300000000
χ29222-2-2-1222-2-2-122211-1-112-2-211-11-1-112-2-1-111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i3002i−2i00000000−i−iii−3−33300000000
χ30222-2-2-1222-2-2-122211-1-112-2-211-11-1-112-2-1-111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300−2i2i00000000ii−i−i33−3−300000000
χ3122-22-2222-22-22222-2-22-2-2-22-2-2-2222-22-2-222-2-22000000-2200000000-2200000000002-20000000000002-22-20000
χ3222-22-2222-22-22222-2-22-2-2-22-2-2-2222-22-2-222-2-22000000-2200000000-220000000000-22000000000000-22-220000
χ3322-22-222-22-2222-2-2222-2-2-22-2-2-222-22-222-2-222-2000000-22000000002-20000000000002-20000002-22-200000000
χ3422-22-222-22-2222-2-2222-2-2-22-2-2-222-22-222-2-222-2000000-22000000002-2000000000000-22000000-22-2200000000
χ3522-22-22-12-22-22-1-1-1-2-2-1-2-21-1111-122-2211-1-111-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i30000−i3i32-200−i3i300000000-11-110000
χ3622-22-22-12-22-22-1-1-1-2-2-1-2-21-1111-122-2211-1-111-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i30000i3−i3-2200i3−i3000000001-11-10000
χ3722-22-22-12-22-22-1-1-1-2-2-1-2-21-1111-122-2211-1-111-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i30000−i3i3-2200−i3i3000000001-11-10000
χ3822-22-22-12-22-22-1-1-1-2-2-1-2-21-1111-122-2211-1-111-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i30000i3−i32-200i3−i300000000-11-110000
χ3922-22-2-12-22-22-12-2-2-1-1-111-22-211-1-11-112211-1-1-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i3000000002-200−i3i3−i3i3-11-1100000000
χ4022-22-2-12-22-22-12-2-2-1-1-111-22-211-1-11-112211-1-1-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i300000000-2200i3−i3i3−i31-11-100000000
χ4122-22-2-12-22-22-12-2-2-1-1-111-22-211-1-11-112211-1-1-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i3000000002-200i3−i3i3−i3-11-1100000000
χ4222-22-2-12-22-22-12-2-2-1-1-111-22-211-1-11-112211-1-1-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i300000000-2200−i3i3−i3i31-11-100000000
χ4322-2-22222-2-222222222-22-2-22222-22-2-2-222222-2000000-2-200000000-2-200000000000000000000000000002-200
χ4422-2-22222-2-222222222-22-2-22222-22-2-2-222222-2000000-2-200000000-2-20000000000000000000000000000-2200
χ4522-2-2222-222-222-2-2-2-22-22-2-22222-2-2222-2-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000
χ4622-2-2222-222-222-2-2-2-22-22-2-22222-2-2222-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000
χ4722-2-222-1-222-22-111-2-2-1-2211-1-1-1-1-2-222-111111-12-222-1-111-1-1-1-1-2-211-1-111110000−i3i30000i3−i300000000−i3i3i3−i30000
χ4822-2-222-1-222-22-111-2-2-1-2211-1-1-1-1-2-222-111111-12-222-1-111-1-1-1-1-2-211-1-111110000i3−i30000−i3i300000000i3−i3−i3i30000
χ4922-2-222-1-222-22-111-2-2-1-2211-1-1-1-1-2-222-111111-1-22-2-21111111122-1-1-1-1-1-1-1-10000−i3i30000i3−i300000000i3−i3−i3i30000
χ5022-2-222-1-222-22-111-2-2-1-2211-1-1-1-1-2-222-111111-1-22-2-21111111122-1-1-1-1-1-1-1-10000i3−i30000−i3i300000000−i3i3i3−i30000
χ5122-2-22-12-222-2-12-2-211-11-1-2-22-1-1-111-1-12-2111122-2-1-12211-1-1-1-111-2-2-1-111110000000000003−3−333−3−3300000000
χ5222-2-22-12-222-2-12-2-211-11-1-2-22-1-1-111-1-12-2111122-2-1-12211-1-1-1-111-2-2-1-11111000000000000−333−3−333−300000000
χ5322-2-22-12-222-2-12-2-211-11-1-2-22-1-1-111-1-12-211112-2211-2-2111111-1-122-1-1-1-1-1-10000000000003−3−33−333−300000000
χ5422-2-22-12-222-2-12-2-211-11-1-2-22-1-1-111-1-12-211112-2211-2-2111111-1-122-1-1-1-1-1-1000000000000−333−33−3−3300000000
χ55444444-2-4-4-4-44-222-4-4-244-2-2-2-2-2-24-4-4-42222222000000-2-2000000002200000000000000000000000000000000
χ5644444-24-4-4-4-4-24-4-422-2-2-2444-2-2-2-2222-4-42222-4000000-2-2000000002200000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-12000000113-3-330000-1-13-3-330000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-1200000011-333-30000-1-1-333-30000000000000000000000000000
χ61444-4-44-244-4-44-2-2-2-4-4-24-4-22222-2-444-4-22-2-2222000000-2200000000-2200000000000000000000000000000000
χ62444-4-4-24-4-444-24-4-4-2-2-2-224-4-422-2222-2-4422-2-24000000-22000000002-200000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-2-2-2221-22-222-1-112-2-22-2211-1-1200−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000
χ64444-4-4-2-244-4-4-2-2-2-2221-22-222-1-112-2-22-2211-1-12002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-222-2-21-22-222-1-11222-22-2-1-111-20000−2i32i31-1i3i3−i3−i300−2i32i3-11i3i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-4-444-2-222-2-21-22-222-1-11222-22-2-1-111-200002i3−2i31-1−i3−i3i3i3002i3−2i3-11−i3−i3i3i30000000000000000000000000000
χ6744-44-44-2-44-444-22244-2-4-42-2222-24-44-4-2-222-2-220000002-200000000-2200000000000000000000000000000000
χ6844-44-4-244-44-4-244422-222-44-422-2-2-22-2-4-4-2-22240000002-2000000002-200000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2221222-22-1-11-2-22-22211-1-1-20000−2i32i3-11i3i3−i3−i3002i3−2i3-11−i3−i3i3i30000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-2221222-22-1-11-2-22-22211-1-1-200002i3−2i3-11−i3−i3i3i300−2i32i3-11i3i3−i3−i30000000000000000000000000000
χ7144-44-4-2-2-44-44-2-222-2-21222-22-1-11-22-22-2-2-1-111200−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-222-2-21222-22-1-11-22-22-2-2-1-1112002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000
χ7344-4-444-24-4-444-2-2-244-2-4422-2-2-2-2-44-4-42-2-2-2-2-2200000022000000002200000000000000000000000000000000
χ7444-4-44-244-4-44-2444-2-2-22-2-4-44-2-2-22-222-44-2-2-2-2-400000022000000002200000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-2-2-2-2-212-222-21112-2222-211112000000-1-13-3-330000-1-1-333-30000000000000000000000000000
χ7644-4-44-2-24-4-44-2-2-2-2-2-212-222-21112-2222-211112000000-1-1-333-30000-1-13-3-330000000000000000000000000000
χ7744-4-44-2-2-444-4-2-2222212-222-211122-2-2-22-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000
χ7844-4-44-2-2-444-4-2-2222212-222-211122-2-2-22-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000
χ798-8000880000-8-8000080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-8443−4300-40000000400000043−4300000000000000000000000000000000000000000000000000000
χ818-80008-40000-84−434300-400000004000000−434300000000000000000000000000000000000000000000000000000
χ828-8000-4800004-80043−43-4000000040000000043−43000000000000000000000000000000000000000000000000000
χ838-8000-4800004-800−4343-40000000400000000−4343000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−432000006-6-2000000−2323−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−4343200000-66-2000000−232323−23000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−43200000-66-200000023−23−2323000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−43432000006-6-200000023−2323−23000000000000000000000000000000000000000000000000000

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