Finite Group Databasebeta

← Group #11793866

Character table — Group #11793866

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121266881212242424242424242424242424242424244444121212121212121224668888121224242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1
χ922222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-10000-1-1000000000000
χ1022222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211000011000000000000
χ1122222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-122-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-211000011000000000000
χ1222222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-12-1-122-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-21111111122-1-10000-1-1000000000000
χ132222222-1222222-12-1-12222-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222200-1-1-1-1-1-1-1-10000
χ142222222-1222222-12-1-12222-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200111111110000
χ152222222-1222222-12-1-12222-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000000022-2-200-1-1-1-111110000
χ162222222-1222222-12-1-12222-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000000000-2-222001111-1-1-1-10000
χ1722222-2-2222-2-2222222222222-2-2-2222-2-2-222222-2-2-2-200-2-2000000000000000000000000000000002i−2i00002i2i−2i−2i00000000
χ1822222-2-2222-2-2222222222222-2-2-2222-2-2-222222-2-2-2-200-2-200000000000000000000000000000000−2i2i0000−2i−2i2i2i00000000
χ1922222-2-2-122-2-222-12-1-12222-1-111-2-1-1-1-2-2-2-1-1-1-1-1111100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000002i−2i0000−i−iii33−3−30000
χ2022222-2-2-122-2-222-12-1-12222-1-111-2-1-1-1-2-2-2-1-1-1-1-1111100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000000000000000−2i2i0000ii−i−i−3−3330000
χ2122222-2-2-122-2-222-12-1-12222-1-111-2-1-1-1-2-2-2-1-1-1-1-1111100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000002i−2i0000−i−iii−3−3330000
χ2222222-2-2-122-2-222-12-1-12222-1-111-2-1-1-1-2-2-2-1-1-1-1-1111100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000000000−2i2i0000ii−i−i33−3−30000
χ232222-22-222-22-2-2-2222222-2-22-22-22-2-22-22-222-2-2-22-22-22i−2i2-22i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ242222-22-222-22-2-2-2222222-2-22-22-22-2-22-22-222-2-2-22-22-2−2i2i2-2−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ252222-22-22-1-22-2112-122-1-111-1-22-2-111-11-11-1-1-2112-2-112i−2i-11−i−iii2i−2i2i−2i−i−iii−i−iii00003333−3−3−3−300−i3i30000−i3i3000000000000
χ262222-22-22-1-22-2112-122-1-111-1-22-2-111-11-11-1-1-2112-2-112i−2i-11−i−iii2i−2i2i−2i−i−iii−i−iii0000−3−3−3−3333300i3−i30000i3−i3000000000000
χ272222-22-22-1-22-2112-122-1-111-1-22-2-111-11-11-1-1-2112-2-11−2i2i-11ii−i−i−2i2i−2i2iii−i−iii−i−i00003333−3−3−3−300i3−i30000i3−i3000000000000
χ282222-22-22-1-22-2112-122-1-111-1-22-2-111-11-11-1-1-2112-2-11−2i2i-11ii−i−i−2i2i−2i2iii−i−iii−i−i0000−3−3−3−3333300−i3i30000−i3i3000000000000
χ292222-22-2-12-22-2-2-2-12-1-122-2-2-11-11211-1-22-2-1-1111-11-112i−2i-112i2i−2i−2i−ii−ii−i−iii−i−iii0000000000000000000000−i3i3−i3i33−33−30000
χ302222-22-2-12-22-2-2-2-12-1-122-2-2-11-11211-1-22-2-1-1111-11-112i−2i-112i2i−2i−2i−ii−ii−i−iii−i−iii0000000000000000000000i3−i3i3−i3−33−330000
χ312222-22-2-12-22-2-2-2-12-1-122-2-2-11-11211-1-22-2-1-1111-11-11−2i2i-11−2i−2i2i2ii−ii−iii−i−iii−i−i0000000000000000000000−i3i3−i3i3−33−330000
χ322222-22-2-12-22-2-2-2-12-1-122-2-2-11-11211-1-22-2-1-1111-11-11−2i2i-11−2i−2i2i2ii−ii−iii−i−iii−i−i0000000000000000000000i3−i3i3−i33−33−30000
χ332222-2-2222-2-22-2-2222222-2-22-2-22-2-2-222-2222-2-2-2-22-2200-2200000000000000000000000000000000002-20000002-2-220000
χ342222-2-2222-2-22-2-2222222-2-22-2-22-2-2-222-2222-2-2-2-22-2200-220000000000000000000000000000000000-22000000-222-20000
χ352222-2-22-12-2-22-2-2-12-1-122-2-2-111-1-211-12-22-1-11111-11-1001-100003−3−3333−3−3−3−3330000000000000000002-200−333−3-111-10000
χ362222-2-22-12-2-22-2-2-12-1-122-2-2-111-1-211-12-22-1-11111-11-1001-100003−3−3333−3−3−3−333000000000000000000-22003−3−331-1-110000
χ372222-2-22-12-2-22-2-2-12-1-122-2-2-111-1-211-12-22-1-11111-11-1001-10000−333−3−3−33333−3−30000000000000000002-2003−3−33-111-10000
χ382222-2-22-12-2-22-2-2-12-1-122-2-2-111-1-211-12-22-1-11111-11-1001-10000−333−3−3−33333−3−3000000000000000000-2200−333−31-1-110000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000002i−2i
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000−2i2i
χ4122-2-22-2-222-2222222-2-2-2-2-2-222-2-2-2222-222-2-2-2-2-222-2-2002200000000000000000000000000002-2220000-2-2000000000000
χ4222-2-22-2-222-2222222-2-2-2-2-2-222-2-2-2222-222-2-2-2-2-222-2-200220000000000000000000000000000-22-2-2000022000000000000
χ4322-2-22-2-22-1-222-1-12-1-2-21111-12-2-21-1-1-11-1-111-211221100-1-13−33−300003−33−33−33−3000033−3−333−3−32-2-1-1000011000000000000
χ4422-2-22-2-22-1-222-1-12-1-2-21111-12-2-21-1-1-11-1-111-211221100-1-13−33−300003−33−33−33−30000−3−333−3−333-22110000-1-1000000000000
χ4522-2-22-2-22-1-222-1-12-1-2-21111-12-2-21-1-1-11-1-111-211221100-1-1−33−330000−33−33−33−33000033−3−333−3−3-22110000-1-1000000000000
χ4622-2-22-2-22-1-222-1-12-1-2-21111-12-2-21-1-1-11-1-111-211221100-1-1−33−330000−33−33−33−330000−3−333−3−3332-2-1-1000011000000000000
χ4722-2-2-22-2222-22-2-222-2-2-2-2222-22-22-2-22-2-22-2-2222-222-200-2200000000000000000000000000000000000000000000002-200
χ4822-2-2-22-2222-22-2-222-2-2-2-2222-22-22-2-22-2-22-2-2222-222-200-220000000000000000000000000000000000000000000000-2200
χ4922-2-2-2-222222-2-2-222-2-2-2-2222-2-22-2-2-2222-2-2-22222-2-22002-2000000000000000022-2-222-2-2-2-2220000000000000000000000
χ5022-2-2-2-222222-2-2-222-2-2-2-2222-2-22-2-2-2222-2-2-22222-2-22002-20000000000000000-2-222-2-22222-2-20000000000000000000000
χ5122-2-2-2-222-122-2112-1-2-211-1-1-1-2-22111-1-1-11112-1-12-21-100-11−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i322-2-2-1-11111-1-100−i3i30000i3−i3000000000000
χ5222-2-2-2-222-122-2112-1-2-211-1-1-1-2-22111-1-1-11112-1-12-21-100-11−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i3-2-22211-1-1-1-11100i3−i30000−i3i3000000000000
χ5322-2-2-2-222-122-2112-1-2-211-1-1-1-2-22111-1-1-11112-1-12-21-100-11i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i322-2-2-1-11111-1-100i3−i30000−i3i3000000000000
χ5422-2-2-2-222-122-2112-1-2-211-1-1-1-2-22111-1-1-11112-1-12-21-100-11i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i3-2-22211-1-1-1-11100−i3i30000i3−i3000000000000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-211-211-2-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-211-211-2-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-24-4-4-2-24-244-2-2-2-2-24-4-42-2-2-2222-2-24-2-2-4-422002200000000000000000000000000000000000000000000000000
χ5844444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21-222211122211-21122-1-100-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21-222211122211-21122-1-100-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-44-4-2-2-44-422-2-2-2-2-2-22212-22-2-1-112-22112-1-1-221-14i−4i1-1−2i−2i2i2i−2i2i−2i2iii−i−iii−i−i0000000000000000000000000000000000
χ614444-44-4-2-2-44-422-2-2-2-2-2-22212-22-2-1-112-22112-1-1-221-1−4i4i1-12i2i−2i−2i2i−2i2i−2i−i−iii−i−iii0000000000000000000000000000000000
χ624444-4-444-2-4-44224-244-2-222-2-4-44222-2-22-2-2-2-422-442-2002-200000000000000000000000000000000000000000000000000
χ634444-4-44-2-2-4-4422-2-2-2-2-2-222122-22-1-11-22-2112-1-12-2-1100-11000023−23−2323−3−33333−3−30000000000000000000000000000000000
χ644444-4-44-2-2-4-4422-2-2-2-2-2-222122-22-1-11-22-2112-1-12-2-1100-110000−232323−2333−3−3−3−3330000000000000000000000000000000000
χ6544-4-44444-2-4-4-4-2-24-2-4-42222-2444-2-2-2-2-22222-422-4-4-2-2002200000000000000000000000000000000000000000000000000
χ6644-4-4444-24-4-4-444-2422-4-4-4-4-2-2-2-24-2-2-24-4-42222222-2-2002200000000000000000000000000000000000000000000000000
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χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-222-1-12-1-1221100-1-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ6944-4-44-4-4-24-44444-2422-4-4-4-4-2-222-4-2-2-2-44422222-2-22200-2-200000000000000000000000000000000000000000000000000
χ7044-4-44-4-4-2-2-444-2-2-2-22222221-22221112-2-2-1-12-1-1-2-2-1-1001123−2323−230000−33−33−33−330000000000000000000000000000000000
χ7144-4-44-4-4-2-2-444-2-2-2-22222221-22221112-2-2-1-12-1-1-2-2-1-10011−2323−232300003−33−33−33−30000000000000000000000000000000000
χ7244-4-4-44-44-24-44224-2-4-422-2-2-2-44-4-222-222-2224-2-2-44-22002-200000000000000000000000000000000000000000000000000
χ7344-4-4-44-4-244-44-4-4-2422-4-444-22-22422-2-4-4422-2-2-22-2-22002-200000000000000000000000000000000000000000000000000
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χ7544-4-4-44-4-2-24-4422-2-22222-2-212-22-2-1-1122-2-1-1-2112-21-100-1100000000-333-33-3-330000000000000000000000000000000000
χ7644-4-4-4-44-2444-4-4-4-2422-4-444-222-2-422-244-422-2-2-2-222-200-2200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-244-422-2-22222-2-2122-22-1-11-2-22-1-1-211-22-11001-1−2i32i32i3−2i30000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ7844-4-4-4-44-2-244-422-2-22222-2-2122-22-1-11-2-22-1-1-211-22-11001-12i3−2i3−2i32i30000−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ794-44i−4i0004400000-4-44i−4i4i−4i004000000-40004i−4i0000000000000000000000000002-22i−2i2-22i−2i2i−2i2-20000000000000000000000
χ804-44i−4i0004400000-4-44i−4i4i−4i004000000-40004i−4i000000000000000000000000000-22−2i2i-22−2i2i−2i2i-220000000000000000000000
χ814-44i−4i0004-2000−2i32i3-424i−4i−2i2i23−23-20000−2i32i32000−2i2i023−230000000000000000000000002-22i−2i−1−31+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−1+31−30000000000000000000000
χ824-44i−4i0004-2000−2i32i3-424i−4i−2i2i23−23-20000−2i32i32000−2i2i023−23000000000000000000000000-22−2i2i1+3−1−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ111−3−1+30000000000000000000000
χ834-44i−4i0004-20002i3−2i3-424i−4i−2i2i−2323-200002i3−2i32000−2i2i0−23230000000000000000000000002-22i−2i−1+31−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−1−31+30000000000000000000000
χ844-44i−4i0004-20002i3−2i3-424i−4i−2i2i−2323-200002i3−2i32000−2i2i0−2323000000000000000000000000-22−2i2i1−3−1+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ111+3−1−30000000000000000000000
χ854-4−4i4i0004400000-4-4−4i4i−4i4i004000000-4000−4i4i0000000000000000000000000002-2−2i2i2-2−2i2i−2i2i2-20000000000000000000000
χ864-4−4i4i0004400000-4-4−4i4i−4i4i004000000-4000−4i4i000000000000000000000000000-222i−2i-222i−2i2i−2i-220000000000000000000000
χ874-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-20000−2i32i320002i−2i0−23230000000000000000000000002-2−2i2i−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+30000000000000000000000
χ884-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-20000−2i32i320002i−2i0−2323000000000000000000000000-222i−2i1−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−30000000000000000000000
χ894-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-200002i3−2i320002i−2i023−230000000000000000000000002-2−2i2i−1−31+3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−1+31−30000000000000000000000
χ904-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-200002i3−2i320002i−2i023−23000000000000000000000000-222i−2i1+3−1−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111−3−1+30000000000000000000000
χ918-88i−8i000-48000004-8−4i4i8i−8i00-40000004000−4i4i0000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−43200002i3−2i3-20002i−2i0−23230000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434320000−2i32i3-20002i−2i023−230000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-48000004-84i−4i−8i8i00-400000040004i−4i0000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−4343200002i3−2i3-2000−2i2i023−230000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4320000−2i32i3-2000−2i2i0−23230000000000000000000000000000000000000000000000000000000000

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