Finite Group Databasebeta

← Group #11794311

Character table — Group #11794311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222222233666666666636666666666666666644666612121212121212121212121212121212444412121212121212124444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1111111-1-111
χ922222222222-1222-1222-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000002022200-1-1-1-100-1-1-1-10000
χ1022222222222-1222-1222-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-20-2-2-20011110011110000
χ1122222222222-1222-1222-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000000202-2-200-1-1-1-10011110000
χ1222222222222-1222-1222-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000000-20-22200111100-1-1-1-10000
χ132222222222-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1202000-1-10000-1-100000000
χ142222222222-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-20-20001100001100000000
χ152222222222-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-20-20001100001100000000
χ162222222222-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-211111111202000-1-10000-1-100000000
χ1722222-2-22-2-22222222222222-2-2-2-22-2-2-222222222-200-2-2-2-2000000000000000000000000000020-2000220000-2-200000000
χ1822222-2-22-2-22222222222222-2-2-2-22-2-2-222222222-200-2-2-2-20000000000000000000000000000-202000-2-200002200000000
χ1922222-2-22-2-2-12-1-1-12-1-1-122-1-111112-2-2-2-1-1-1-1-12-1-1-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i320-2000-1-100001100000000
χ2022222-2-22-2-2-12-1-1-12-1-1-122-1-111112-2-2-2-1-1-1-1-12-1-1-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-202000110000-1-100000000
χ2122222-2-22-2-2-12-1-1-12-1-1-122-1-111112-2-2-2-1-1-1-1-12-1-1-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-202000110000-1-100000000
χ2222222-2-22-2-2-12-1-1-12-1-1-122-1-111112-2-2-2-1-1-1-1-12-1-1-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i320-2000-1-100001100000000
χ232222-22-2-22-2222-2-22-2-22222222-2-2-22-2-2222-2-2-2-2-220022-2-200000000000000000000000000000000000000000000002-200
χ242222-22-2-22-2222-2-22-2-22222222-2-2-22-2-2222-2-2-2-2-220022-2-20000000000000000000000000000000000000000000000-2200
χ252222-2-22-2-22222-2-22-2-222222-2-222-2-222222-2-2-2-2-2-200-2-2220000000000000000000000000000020-2000022-2-20000000000
χ262222-2-22-2-22222-2-22-2-222222-2-222-2-222222-2-2-2-2-2-200-2-22200000000000000000000000000000-2020000-2-2220000000000
χ272222-2-22-2-222-12-2-2-1-2-22-1-12-1-2-22211-1-1-1-1-11111110011-1-1000033−3−333−3−333−3−3000000000000020-20000-1-1110033−3−30000
χ282222-2-22-2-222-12-2-2-1-2-22-1-12-1-2-22211-1-1-1-1-11111110011-1-1000033−3−333−3−333−3−30000000000000-202000011-1-100−3−3330000
χ292222-2-22-2-222-12-2-2-1-2-22-1-12-1-2-22211-1-1-1-1-11111110011-1-10000−3−333−3−333−3−333000000000000020-20000-1-11100−3−3330000
χ302222-2-22-2-222-12-2-2-1-2-22-1-12-1-2-22211-1-1-1-1-11111110011-1-10000−3−333−3−333−3−3330000000000000-202000011-1-10033−3−30000
χ3122-2-222-2-2-22222222-2-2-2-2-2-222-22-2222-22-2-222-2-2-2-2002-22-20000000000000000000000000000000000000000000000002-2
χ3222-2-222-2-2-22222222-2-2-2-2-2-222-22-2222-22-2-222-2-2-2-2002-22-2000000000000000000000000000000000000000000000000-22
χ3322-2-22-22-22-2222222-2-2-2-2-2-22-22-222-2-222-2-222-2-2-2200-22-22000000000000000000000000000000002-2000000002-22-20000
χ3422-2-22-22-22-2222222-2-2-2-2-2-22-22-222-2-222-2-222-2-2-2200-22-2200000000000000000000000000000000-2200000000-22-220000
χ3522-2-22-22-22-22-1222-1-2-2-211-2-1-22-22-111-1-111-1-1111-1001-11-100003−33−33−33−33−33−300000000000000002-2003−33−300-11-110000
χ3622-2-22-22-22-22-1222-1-2-2-211-2-1-22-22-111-1-111-1-1111-1001-11-100003−33−33−33−33−33−30000000000000000-2200−33−33001-11-10000
χ3722-2-22-22-22-22-1222-1-2-2-211-2-1-22-22-111-1-111-1-1111-1001-11-10000−33−33−33−33−33−3300000000000000002-200−33−3300-11-110000
χ3822-2-22-22-22-22-1222-1-2-2-211-2-1-22-22-111-1-111-1-1111-1001-11-10000−33−33−33−33−33−330000000000000000-22003−33−3001-11-10000
χ3922-2-2-2222-2-2222-2-2222-2-2-2-222-2-22-22-222-2-2-2-2222-22-22-2-222-22-22-2-222-2-222-2-220000000000000000000000000000000000
χ4022-2-2-2222-2-2222-2-2222-2-2-2-222-2-22-22-222-2-2-2-2222-2-222-2-22-22-22-222-2-222-2-222-20000000000000000000000000000000000
χ4122-2-2-2222-2-22-12-2-2-122-211-2-12-2-221-11-1-11111-1-1-112-2-111-12-22-2-111-1-111-1-111-1000000000000000000003−3−3300−333−30000
χ4222-2-2-2222-2-22-12-2-2-122-211-2-12-2-221-11-1-11111-1-1-112-2-111-12-22-2-111-1-111-1-111-100000000000000000000−333−3003−3−330000
χ4322-2-2-2222-2-22-12-2-2-122-211-2-12-2-221-11-1-11111-1-1-11-22-111-1-22-221-1-111-1-111-1-11000000000000000000003−3−33003−3−330000
χ4422-2-2-2222-2-22-12-2-2-122-211-2-12-2-221-11-1-11111-1-1-11-22-111-1-22-221-1-111-1-111-1-1100000000000000000000−333−300−333−30000
χ4522-2-2-2222-2-2-12-1112-1-11-2-21-1-111-1-22-22-111112-1-1-22-2-111-1-11-112-2-22-111-1-111-1000033−3−333−3−30000003−300003−300000000
χ4622-2-2-2222-2-2-12-1112-1-11-2-21-1-111-1-22-22-111112-1-1-22-2-111-1-11-112-2-22-111-1-111-10000−3−333−3−333000000−330000−3300000000
χ4722-2-2-2222-2-2-12-1112-1-11-2-21-1-111-1-22-22-111112-1-1-2-22-111-11-11-1-222-21-1-111-1-11000033−3−333−3−3000000−330000−3300000000
χ4822-2-2-2222-2-2-12-1112-1-11-2-21-1-111-1-22-22-111112-1-1-2-22-111-11-11-1-222-21-1-111-1-110000−3−333−3−3330000003−300003−300000000
χ4922-2-2-2-2-2222222-2-2222-2-2-2-22-222-2-2-22-22-2-2-2-2222200-222-200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5022-2-2-2-2-2222222-2-2222-2-2-2-22-222-2-2-22-22-2-2-2-2222200-222-20000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5122-2-2-2-2-2222-12-1112-1-11-2-21-11-1-11-2-22-2-111112-1-12001-1-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i32i2i−2i−2i−i−iiiii−i−i0000003−30000−3300000000
χ5222-2-2-2-2-2222-12-1112-1-11-2-21-11-1-11-2-22-2-111112-1-12001-1-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i3−2i−2i2i2iii−i−i−i−iii000000−3300003−300000000
χ5322-2-2-2-2-2222-12-1112-1-11-2-21-11-1-11-2-22-2-111112-1-12001-1-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i32i2i−2i−2i−i−iiiii−i−i000000−3300003−300000000
χ5422-2-2-2-2-2222-12-1112-1-11-2-21-11-1-11-2-22-2-111112-1-12001-1-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i3−2i−2i2i2iii−i−i−i−iii0000003−30000−3300000000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-44-2444-2444-2-24-2-4-4-4-4-2222-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-222211111-211200-1-1-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-212222-222211111-211200-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-44-4-44-44-24-4-4-2-4-44-2-24-244-4-42-222-2-2-222222-200-2-22200000000000000000000000000000000000000000000000000
χ614444-44-4-44-4-24-222422-244-2-2-2-222-44-4-4-2-2-222-422400-2-22200000000000000000000000000000000000000000000000000
χ624444-44-4-44-4-2-2-222-222-2-2-2-21-2-2222-222111-1-12-1-1-20011-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ634444-44-4-44-4-2-2-222-222-2-2-2-21-2-2222-222111-1-12-1-1-20011-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ644444-4-44-4-44-24-222422-244-2-222-2-2-4-444-2-2-222-422-40022-2-200000000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-222-222-2-2-2-2122-2-222-2-2111-1-12-1-1200-1-11100002323−23−23−3−333−3−3330000000000000000000000000000000000
χ664444-4-44-4-44-2-2-222-222-2-2-2-2122-2-222-2-2111-1-12-1-1200-1-1110000−23−23232333−3−333−3−30000000000000000000000000000000000
χ6744-4-444-4-4-444-2444-2-4-4-422-4-24-44-4-2-2-22-222-2-2222200-22-2200000000000000000000000000000000000000000000000000
χ6844-4-444-4-4-44-24-2-2-24222-4-42-2-22-22444-4-222-2-2-422-400-22-2200000000000000000000000000000000000000000000000000
χ6944-4-444-4-4-44-2-2-2-2-2-22222221-22-22-2-2-221-1-1112-1-12001-11-1000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7044-4-444-4-4-44-2-2-2-2-2-22222221-22-22-2-2-221-1-1112-1-12001-11-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7144-4-44-44-44-4-24-2-2-24222-4-42-22-22-24-4-44-222-2-2-4224002-22-200000000000000000000000000000000000000000000000000
χ7244-4-44-44-44-4-2-2-2-2-2-222222212-22-2-222-21-1-1112-1-1-200-11-11000023−2323−23−33−33−33−330000000000000000000000000000000000
χ7344-4-44-44-44-4-2-2-2-2-2-222222212-22-2-222-21-1-1112-1-1-200-11-110000−2323−23233−33−33−33−30000000000000000000000000000000000
χ7444-4-4-4444-4-4-2-2-222-2-2-222221-222-22-22-21-1-1-1-1-21124-41-1-11-22-22-222-21-1-111-1-110000000000000000000000000000000000
χ7544-4-4-4444-4-4-2-2-222-2-2-222221-222-22-22-21-1-1-1-1-2112-441-1-112-22-22-2-22-111-1-111-10000000000000000000000000000000000
χ7644-4-4-4-4-44444-24-4-4-244-422-4-2-444-422-22-22222-2-2-2-2002-2-2200000000000000000000000000000000000000000000000000
χ7744-4-4-4-4-4444-2-2-222-2-2-2222212-2-2222-221-1-1-1-1-211-200-111-1−2i32i32i3−2i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000
χ7844-4-4-4-4-4444-2-2-222-2-2-2222212-2-2222-221-1-1-1-1-211-200-111-12i3−2i3−2i32i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000
χ794-44-400000044-400-40044-4-4400000000-44-400000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-400000044-400-40044-4-4400000000-44-40000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-4000000-242−2i32i3-4−2i32i3-24-42-2000000002-22−2i32i30−2i32i3000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ824-44-4000000-242−2i32i3-4−2i32i3-24-42-2000000002-22−2i32i30−2i32i300000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ834-44-4000000-2422i3−2i3-42i3−2i3-24-42-2000000002-222i3−2i302i3−2i3000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ844-44-4000000-2422i3−2i3-42i3−2i3-24-42-2000000002-222i3−2i302i3−2i300000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ854-4-4400000044-400-400-4-444400000000-4-4400000000000000000000000000002-2-222-2-22-222-20000000000000000000000
χ864-4-4400000044-400-400-4-444400000000-4-440000000000000000000000000000-222-2-222-22-2-220000000000000000000000
χ874-4-44000000-242−2i32i3-42i3−2i32-44-2-20000000022-2−2i32i302i3−2i3000000000000000000000002-2-22−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000
χ884-4-44000000-242−2i32i3-42i3−2i32-44-2-20000000022-2−2i32i302i3−2i300000000000000000000000-222-21−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000
χ894-4-44000000-2422i3−2i3-4−2i32i32-44-2-20000000022-22i3−2i30−2i32i3000000000000000000000002-2-22−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000
χ904-4-44000000-2422i3−2i3-4−2i32i32-44-2-20000000022-22i3−2i30−2i32i300000000000000000000000-222-21+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000
χ918-88-80000008-4-8004008-44-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000-4-44−4i34i34−4i34i3-4-444200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000
χ938-88-8000000-4-444i3−4i344i3−4i3-4-444200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000
χ948-8-880000008-4-800400-84-48-40000000044-400000000000000000000000000000000000000000000000000000000000000
χ958-8-88000000-4-44−4i34i344i3−4i344-4-4200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000
χ968-8-88000000-4-444i3−4i34−4i34i344-4-4200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.