Finite Group Databasebeta

← Group #11793860

Character table — Group #11793860

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121266881212242424242424242424242424242424244444121212121212121224668888121224242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111
χ922222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-12200-1-10000-1-1-1-10000
χ1022222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211-2-20011000011110000
χ1122222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000000022-1-1-2-200-1-1000011110000
χ1222222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-2112200110000-1-1-1-10000
χ132222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000002200-1-1-1-100000000
χ142222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-12-1-12-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000-2-200111100000000
χ152222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-12-1-12-1-12-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1000000-2-200111100000000
χ162222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-12-1-12-1-12-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2111111110000002200-1-1-1-100000000
χ1722222-2-2222-2-22-2-222222-2-222-22-2-2-2-222-2-222-2-2-222-2002-20000000000000000000000000000000000000000000000002i−2i
χ1822222-2-2222-2-22-2-222222-2-222-22-2-2-2-222-2-222-2-2-222-2002-2000000000000000000000000000000000000000000000000−2i2i
χ192222-22-222-2-222-2-222222-2-22-22-22-2-2-22-22222-2-2-2-2-2200-22000000000000000000000000000000002i−2i000000002i2i−2i−2i0000
χ202222-22-222-2-222-2-222222-2-22-22-22-2-2-22-22222-2-2-2-2-2200-2200000000000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ212222-22-22-1-2-222-2-2-122-1-1-2-2-1-221-1111-1-22-1-1-111111-1001-1000033−3−33333−3−3−3−300000000000000−i3i32i−2i00−i3i30000−i−iii0000
χ222222-22-22-1-2-222-2-2-122-1-1-2-2-1-221-1111-1-22-1-1-111111-1001-1000033−3−33333−3−3−3−300000000000000i3−i3−2i2i00i3−i30000ii−i−i0000
χ232222-22-22-1-2-222-2-2-122-1-1-2-2-1-221-1111-1-22-1-1-111111-1001-10000−3−333−3−3−3−3333300000000000000−i3i3−2i2i00−i3i30000ii−i−i0000
χ242222-22-22-1-2-222-2-2-122-1-1-2-2-1-221-1111-1-22-1-1-111111-1001-10000−3−333−3−3−3−3333300000000000000i3−i32i−2i00i3−i30000−i−iii0000
χ252222-2-2222-22-222222222222-2-2-2-22222-2-2-222222-2-2-200-2-200000000000000000000000000000000002-20022-2-200000000
χ262222-2-2222-22-222222222222-2-2-2-22222-2-2-222222-2-2-200-2-20000000000000000000000000000000000-2200-2-22200000000
χ272222-2-22-12-22-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-1-12-1-1-2110011−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000002-200-1-11100000000
χ282222-2-22-12-22-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-1-12-1-1-2110011−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000i3i3i3i3−i3−i3−i3−i3000000-220011-1-100000000
χ292222-2-22-12-22-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-1-12-1-1-2110011i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000−i3−i3−i3−i3i3i3i3i3000000-220011-1-100000000
χ302222-2-22-12-22-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-1-12-1-1-2110011i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000002-200-1-11100000000
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2222i−2i-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000
χ3322-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-1-12i−2i112i−2i2i−2i−ii−ii−ii−ii−ii−ii00000000000000−i3i30000i3−i300003−33−30000
χ3422-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-1-12i−2i112i−2i2i−2i−ii−ii−ii−ii−ii−ii00000000000000i3−i30000−i3i30000−33−330000
χ3522-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-1-1−2i2i11−2i2i−2i2ii−ii−ii−ii−ii−ii−i00000000000000−i3i30000i3−i30000−33−330000
χ3622-2-22222-1-2-2-2222-1-2-211-2-2-122-1-1-1-1-1-1-2-21111111-1-1−2i2i11−2i2i−2i2ii−ii−ii−ii−ii−ii−i00000000000000i3−i30000−i3i300003−33−30000
χ3722-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-211-211-2-1-12i−2i11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000−i3−i3i3i3−i3−i3i3i300000000003−33−300000000
χ3822-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-211-211-2-1-12i−2i11−ii−ii2i−2i2i−2i−ii−ii−ii−ii0000i3i3−i3−i3i3i3−i3−i30000000000−33−3300000000
χ3922-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-211-211-2-1-1−2i2i11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000−i3−i3i3i3−i3−i3i3i30000000000−33−3300000000
χ4022-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-211-211-2-1-1−2i2i11i−ii−i−2i2i−2i2ii−ii−ii−ii−i0000i3i3−i3−i3i3i3−i3−i300000000003−33−300000000
χ4122-2-22-2-222-2222-2-22-2-2-2-22222-22-2-2-2-22-222-2-2222-22-200-2200000000000000000000000000000000000000000000002-200
χ4222-2-22-2-222-2222-2-22-2-2-2-22222-22-2-2-2-22-222-2-2222-22-200-220000000000000000000000000000000000000000000000-2200
χ4322-2-2-22-22222-22-2-22-2-2-2-2222-22-22-2-2-222-2-2-2-22222-22002-200000000000000000000000000002-2220000-2-2000000000000
χ4422-2-2-22-22222-22-2-22-2-2-2-2222-22-22-2-2-222-2-2-2-22222-22002-20000000000000000000000000000-22-2-2000022000000000000
χ4522-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2111-1-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000002-2-1-10000110000−i3i3i3−i30000
χ4622-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2111-1-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000-22110000-1-10000i3−i3−i3i30000
χ4722-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2111-1-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000002-2-1-10000110000i3−i3−i3i30000
χ4822-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2111-1-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000-22110000-1-10000−i3i3i3−i30000
χ4922-2-2-2-22222-222222-2-2-2-2-2-22-2-2-2-22222222-2-2-2-2-22-2-20022000000000000000022-2-222-2-2-2-2220000000000000000000000
χ5022-2-2-2-22222-222222-2-2-2-2-2-22-2-2-2-22222222-2-2-2-2-22-2-200220000000000000000-2-222-2-22222-2-20000000000000000000000
χ5122-2-2-2-22-122-22-1-1-1211-2-211-111-2-22-1-1-1-1-1211-21121100-1-13−3−3300003−3−333−3−3322-2-2-1-11111-1-100000000003−3−3300000000
χ5222-2-2-2-22-122-22-1-1-1211-2-211-111-2-22-1-1-1-1-1211-21121100-1-13−3−3300003−3−333−3−33-2-22211-1-1-1-1110000000000−333−300000000
χ5322-2-2-2-22-122-22-1-1-1211-2-211-111-2-22-1-1-1-1-1211-21121100-1-1−333−30000−333−3−333−322-2-2-1-11111-1-10000000000−333−300000000
χ5422-2-2-2-22-122-22-1-1-1211-2-211-111-2-22-1-1-1-1-1211-21121100-1-1−333−30000−333−3−333−3-2-22211-1-1-1-11100000000003−3−3300000000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-211-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-211-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-24-4-44-4-4-244-2-2-4-4-24-4-22222-24-42-2-2222-2-2200-2200000000000000000000000000000000000000000000000000
χ5844444-4-4-244-4-4-2224-2-24422-2-224-4-422-2-22-4-2-2-4224-2200-2200000000000000000000000000000000000000000000000000
χ5944444-4-4-2-24-4-4-222-2-2-2-2-2221-22-222-1-11-222112-1-1-21-1001-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ6044444-4-4-2-24-4-4-222-2-2-2-2-2221-22-222-1-11-222112-1-1-21-1001-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ614444-44-4-24-4-44-2224-2-24422-22-2-44-422-22-24-2-2-422-42-2002-200000000000000000000000000000000000000000000000000
χ624444-44-4-2-2-4-44-222-2-2-2-2-22212-22-22-1-112-2-2112-1-12-1100-1100002323−23−23−3−3−3−333330000000000000000000000000000000000
χ634444-44-4-2-2-4-44-222-2-2-2-2-22212-22-22-1-112-2-2112-1-12-1100-110000−23−2323233333−3−3−3−30000000000000000000000000000000000
χ644444-4-444-2-44-4444-244-2-244-2-4-422-2-2-2-2-4-42-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-2-2-2-2-2-2-2-2-212222-211122211-2112-1-100-1-1−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-2-2-2-2-2-2-2-2-212222-211122211-2112-1-100-1-12i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-2111222-1-12-1-12114i−4i-1-1−2i2i−2i2i−2i2i−2i2ii−ii−ii−ii−i0000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-2111222-1-12-1-1211−4i4i-1-12i−2i2i−2i2i−2i2i−2i−ii−ii−ii−ii0000000000000000000000000000000000
χ6944-4-44-4-44-2-4444-4-4-2-4-42244-24-4-22222-2-44-222-2-2-22-22002-200000000000000000000000000000000000000000000000000
χ7044-4-44-4-4-24-444-222422-4-4-2-2-2-224-4-422-22-24224-2-2-4-22002-200000000000000000000000000000000000000000000000000
χ7144-4-44-4-4-2-2-444-222-22222-2-21-22-222-1-112-2-2-1-1-21121-100-11000000003-3-33-333-30000000000000000000000000000000000
χ7244-4-44-4-4-2-2-444-222-22222-2-21-22-222-1-112-2-2-1-1-21121-100-1100000000-333-33-3-330000000000000000000000000000000000
χ7344-4-4-44-4-2444-4-222422-4-4-2-2-22-2-44-422-2-22-4224-2-242-200-2200000000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-244-4-222-22222-2-212-22-22-1-11-222-1-1-211-2-11001-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ7544-4-4-44-4-2-244-4-222-22222-2-212-22-22-1-11-222-1-1-211-2-11001-100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ7644-4-4-4-444-24-44444-2-4-422-4-4-2-4-422-2-2-2-244-222222-22200-2-200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-2-2-222222212222-2111-2-2-2-1-12-1-1-2-1-1001123−23−23230000−333−3−333−30000000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-2-2-222222212222-2111-2-2-2-1-12-1-1-2-1-10011−232323−2300003−3−333−3−330000000000000000000000000000000000
χ794-44i−4i00044000-400-44i−4i4i−4i0040000000-40004i−4i000000000000000000000000002-22i−2i2-22i−2i2i−2i2-20000000000000000000000
χ804-44i−4i00044000-400-44i−4i4i−4i0040000000-40004i−4i00000000000000000000000000-22−2i2i-22−2i2i−2i2i-220000000000000000000000
χ814-44i−4i000-240002−2i32i3-4−2i2i4i−4i23−23-200000−2i32i32000−2i2i023−23000000000000000000000002-22i−2i−1−i31+i32ζ11−2ζ112ζ7−2ζ7−1+i31−i30000000000000000000000
χ824-44i−4i000-240002−2i32i3-4−2i2i4i−4i23−23-200000−2i32i32000−2i2i023−2300000000000000000000000-22−2i2i1+i3−1−i3−2ζ112ζ11−2ζ72ζ71−i3−1+i30000000000000000000000
χ834-44i−4i000-2400022i3−2i3-4−2i2i4i−4i−2323-2000002i3−2i32000−2i2i0−2323000000000000000000000002-22i−2i−1+i31−i32ζ7−2ζ72ζ11−2ζ11−1−i31+i30000000000000000000000
χ844-44i−4i000-2400022i3−2i3-4−2i2i4i−4i−2323-2000002i3−2i32000−2i2i0−232300000000000000000000000-22−2i2i1−i3−1+i3−2ζ72ζ7−2ζ112ζ111+i3−1−i30000000000000000000000
χ854-4−4i4i00044000-400-4−4i4i−4i4i0040000000-4000−4i4i000000000000000000000000002-2−2i2i2-2−2i2i−2i2i2-20000000000000000000000
χ864-4−4i4i00044000-400-4−4i4i−4i4i0040000000-4000−4i4i00000000000000000000000000-222i−2i-222i−2i2i−2i-220000000000000000000000
χ874-4−4i4i000-240002−2i32i3-42i−2i−4i4i−2323-200000−2i32i320002i−2i0−2323000000000000000000000002-2−2i2i−1−i31+i3−2ζ112ζ11−2ζ72ζ7−1+i31−i30000000000000000000000
χ884-4−4i4i000-240002−2i32i3-42i−2i−4i4i−2323-200000−2i32i320002i−2i0−232300000000000000000000000-222i−2i1+i3−1−i32ζ11−2ζ112ζ7−2ζ71−i3−1+i30000000000000000000000
χ894-4−4i4i000-2400022i3−2i3-42i−2i−4i4i23−23-2000002i3−2i320002i−2i023−23000000000000000000000002-2−2i2i−1+i31−i3−2ζ72ζ7−2ζ112ζ11−1−i31+i30000000000000000000000
χ904-4−4i4i000-2400022i3−2i3-42i−2i−4i4i23−23-2000002i3−2i320002i−2i023−2300000000000000000000000-222i−2i1−i3−1+i32ζ7−2ζ72ζ11−2ζ111+i3−1−i30000000000000000000000
χ918-88i−8i0008-4000-80048i−8i−4i4i00-400000004000−4i4i000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-40004−4i34i34−4i4i−4i4i43−432000002i3−2i3-20002i−2i0−2323000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-400044i3−4i34−4i4i−4i4i−4343200000−2i32i3-20002i−2i023−23000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-4000-8004−8i8i4i−4i00-4000000040004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-40004−4i34i344i−4i4i−4i−43432000002i3−2i3-2000−2i2i023−23000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−43200000−2i32i3-2000−2i2i0−2323000000000000000000000000000000000000000000000000000000000

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