Finite Group Databasebeta

← Group #11790539

Character table — Group #11790539

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order124422233444661212121236666666661212121212121212121266881212242424242424242424242424242424244444888888888888121212122424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-111i−i−iiii−i−iii−i−i−i−iii−i−iii-11-11
χ1111-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-111−iii−i−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-11-11-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i11-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii-1-111−iii−iii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i-1-111i−i−ii−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611-1-11-1-111-11111-1-1-1-1111-1-1-1-1-11-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii11-1-1i−ii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222-12222-122-1-1-12-12-1-1-1-1-122-12-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ1822222222-12222-122-1-1-12-12-1-1-1-1-122-12-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ1922222222-12222-122-1-1-12-12-1-1-1-1-122-12-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-211111100002222000000-2-200000000-1-1-1-111110000
χ2022222222-12222-122-1-1-12-12-1-1-1-1-122-12-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-21111110000-2-2-2-200000022000000001111-1-1-1-10000
χ212222222-12222-12-1-122-1-12-122-1-1-1-1-12-12-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ222222222-12222-12-1-122-1-12-122-1-1-1-1-12-12-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ232222222-12222-12-1-122-1-12-122-1-1-1-1-12-12-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-21111222200000000-2-200-1-1-1-11111000000000000
χ242222222-12222-12-1-122-1-12-122-1-1-1-1-12-12-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-21111-2-2-2-20000000022001111-1-1-1-1000000000000
χ2522222-2-2222-2-2222222222-2-2-2-2-22-2-2-22222-2-2-2-22-200-2200000000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000000000
χ2622222-2-2222-2-2222222222-2-2-2-2-22-2-2-22222-2-2-2-22-200-220000000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000000000
χ2722222-2-2-122-2-2-12-1-122-1-121-2-211-111-2-12-1-11-211-11001-13−30033−3−33−30033−3−32i−2i2i−2i000000000000−ii−ii−i3i3−i3i3000000000000
χ2822222-2-2-122-2-2-12-1-122-1-121-2-211-111-2-12-1-11-211-11001-13−30033−3−33−30033−3−3−2i2i−2i2i000000000000i−ii−ii3−i3i3−i3000000000000
χ2922222-2-2-122-2-2-12-1-122-1-121-2-211-111-2-12-1-11-211-11001-1−3300−3−333−3300−3−3332i−2i2i−2i000000000000−ii−iii3−i3i3−i3000000000000
χ3022222-2-2-122-2-2-12-1-122-1-121-2-211-111-2-12-1-11-211-11001-1−3300−3−333−3300−3−333−2i2i−2i2i000000000000i−ii−i−i3i3−i3i3000000000000
χ312222-22-222-2-222222222-2-222-2222-2-2-2-2-2222222-2-200-2-2000000000000000000002-22-200000000000000002-22-200000000
χ322222-22-222-2-222222222-2-222-2222-2-2-2-2-2222222-2-200-2-200000000000000000000-22-220000000000000000-22-2200000000
χ332222-22-22-1-2-222-122-1-1-1-212-11-1-1-1-2-21-21-1-12-1-1-111001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300002-22-20000000000000000-11-11−i3i3−i3i30000
χ342222-22-22-1-2-222-122-1-1-1-212-11-1-1-1-2-21-21-1-12-1-1-111001100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000-22-2200000000000000001-11-1i3−i3i3−i30000
χ352222-22-22-1-2-222-122-1-1-1-212-11-1-1-1-2-21-21-1-12-1-1-111001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300002-22-20000000000000000-11-11i3−i3i3−i30000
χ362222-22-22-1-2-222-122-1-1-1-212-11-1-1-1-2-21-21-1-12-1-1-111001100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000-22-2200000000000000001-11-1−i3i3−i3i30000
χ372222-2-2222-22-22222222-2-2-2-22-2-22222-2-222-2-2-2-2-22002-2000000000000000000000000222200000000000000000000-2-200
χ382222-2-2222-22-22222222-2-2-2-22-2-22222-2-222-2-2-2-2-22002-2000000000000000000000000-2-2-2-2000000000000000000002200
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-2-220000000000002-2-220000000000000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-222-2000000000000-222-20000000000000000
χ4122-2-2222-12-2-2-2-1211-2-2-1-12-122-1-1-1-11-21-2111-211-1-100113−30033−3−3−3300−3−3332-2-22000000000000-111-1−333−3000000000000
χ4222-2-2222-12-2-2-2-1211-2-2-1-12-122-1-1-1-11-21-2111-211-1-100113−30033−3−3−3300−3−333-222-20000000000001-1-113−3−33000000000000
χ4322-2-2222-12-2-2-2-1211-2-2-1-12-122-1-1-1-11-21-2111-211-1-10011−3300−3−3333−30033−3−32-2-22000000000000-111-13−3−33000000000000
χ4422-2-2222-12-2-2-2-1211-2-2-1-12-122-1-1-1-11-21-2111-211-1-10011−3300−3−3333−30033−3−3-222-20000000000001-1-11−333−3000000000000
χ4522-2-22-2-22-1-2222-1-2-211-12-1-21111-1-22-1-21112-1-1-1-112-2-1122-1-1-1-1-1-1-2-211111100002i2i−2i−2i0000002i−2i00000000−i−iii−i−iii0000
χ4622-2-22-2-22-1-2222-1-2-211-12-1-21111-1-22-1-21112-1-1-1-112-2-1122-1-1-1-1-1-1-2-21111110000−2i−2i2i2i000000−2i2i00000000ii−i−iii−i−i0000
χ4722-2-22-2-22-1-2222-1-2-211-12-1-21111-1-22-1-21112-1-1-1-11-22-11-2-211111122-1-1-1-1-1-100002i2i−2i−2i000000−2i2i00000000−i−iiiii−i−i0000
χ4822-2-22-2-22-1-2222-1-2-211-12-1-21111-1-22-1-21112-1-1-1-11-22-11-2-211111122-1-1-1-1-1-10000−2i−2i2i2i0000002i−2i00000000ii−i−i−i−iii0000
χ4922-2-22-2-2-12-222-1211-2-2-1-121-2-211-11-121-211-12-1-1-112-2-11-1-122-1-1-1-111-2-211112i2i−2i−2i000000002i−2i00−i−iii−i−iii000000000000
χ5022-2-22-2-2-12-222-1211-2-2-1-121-2-211-11-121-211-12-1-1-112-2-11-1-122-1-1-1-111-2-21111−2i−2i2i2i00000000−2i2i00ii−i−iii−i−i000000000000
χ5122-2-22-2-2-12-222-1211-2-2-1-121-2-211-11-121-211-12-1-1-11-22-1111-2-21111-1-122-1-1-1-12i2i−2i−2i00000000−2i2i00−i−iiiii−i−i000000000000
χ5222-2-22-2-2-12-222-1211-2-2-1-121-2-211-11-121-211-12-1-1-11-22-1111-2-21111-1-122-1-1-1-1−2i−2i2i2i000000002i−2i00ii−i−i−i−iii000000000000
χ5322-2-2-22-22222-222-2-2-2-22-2-222-2222-22222-2-2-2-2-2-2-2-2002200000000000000000000000022-2-200000000000000000000-2200
χ5422-2-2-22-22222-222-2-2-2-22-2-222-2222-22222-2-2-2-2-2-2-2-20022000000000000000000000000-2-222000000000000000000002-200
χ5522-2-2-2-22222-2222-2-2-2-22-2-2-2-22-2-222-2-222-2-22222-2200-22000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ5622-2-2-2-22222-2222-2-2-2-22-2-2-2-22-2-222-2-222-2-22222-2200-2200000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ5722-2-2-2-222-12-222-1-2-211-1-21-21-111-12-212-1112-1-1-11-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i300002i−2i−2i2i0000000000000000−iii−i3−3−330000
χ5822-2-2-2-222-12-222-1-2-211-1-21-21-111-12-212-1112-1-1-11-1001-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000−2i2i2i−2i0000000000000000i−i−ii−333−30000
χ5922-2-2-2-222-12-222-1-2-211-1-21-21-111-12-212-1112-1-1-11-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i300002i−2i−2i2i0000000000000000−iii−i−333−30000
χ6022-2-2-2-222-12-222-1-2-211-1-21-21-111-12-212-1112-1-1-11-1001-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000−2i2i2i−2i0000000000000000i−i−ii3−3−330000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-2-211114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-2-21111-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-24-4-44-244-2-2-24-2-42222-2-4-424-2-2-2-4222-22002-20000000000000000000000000000000000000000000000000000
χ6444444-4-4-2-24-4-4-2-2-2-2-2-21-2-2222-1-11222-2-21122-1-11-100-1123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-2-2-2-2-21-2-2222-1-11222-2-21122-1-11-100-11−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ664444-44-4-24-4-44-24-2-244-22-4-24-4-2-2-222-42-4-2-2-24-2-22200220000000000000000000000000000000000000000000000000000
χ674444-44-4-2-2-4-44-2-2-2-2-2-2122-2-221112222211-2-211-1-100-1-100−2i32i3i3−i3i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ684444-44-4-2-2-4-44-2-2-2-2-2-2122-2-221112222211-2-211-1-100-1-1002i3−2i3−i3i3−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ694444-4-444-2-44-44-244-2-2-2-42-42-222-244-2-42-2-2-42222-200-220000000000000000000000000000000000000000000000000000
χ704444-4-44-24-44-4-24-2-244-22-42-4422-2-2-242-4-2-22-4222-200-220000000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-44-4-2-2-2-2-2-212222-2-1-11-2-2-2221122-1-1-11001-100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ724444-4-44-2-2-44-4-2-2-2-2-2-212222-2-1-11-2-2-2221122-1-1-11001-10000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ7344-4-44444-2-4-4-44-2-4-422-24-24-2-2-2-2-24-42-4222-4222-2-200220000000000000000000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-22222-1-122-1-11100-1-123−2300−3−333−23230033−3−3000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-22222-1-122-1-11100-1-1−23230033−3−323−2300−3−333000000000000000000000000000000000000
χ7644-4-44-4-4-2-2-444-2-222221-2-2222-1-112-2-222-1-1-2-2111-14-41-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ7744-4-44-4-4-2-2-444-2-222221-2-2222-1-112-2-222-1-1-2-2111-1-441-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7844-4-4-44-44-244-44-2-4-422-2-424-22-2-2-2-44-24-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ7944-4-4-44-4-2444-4-2422-4-4-22-4-24-4-2-2-22-24-24222-4222200-2-20000000000000000000000000000000000000000000000000000
χ8044-4-4-44-4-2-244-4-2-22222122-2-221112-2-2-2-2-1-122-1-1-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ8144-4-4-44-4-2-244-4-2-22222122-2-221112-2-2-2-2-1-122-1-1-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ8244-4-4-4-44-244-44-2422-4-4-22-42-4422-2-22-4-2422-24-2-22-2002-20000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-24-44-2-2222212222-2-1-11-222-2-2-1-1-2-211-1100-1100−2i32i3i3−i3i3−i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ8444-4-4-4-44-2-24-44-2-2222212222-2-1-11-222-2-2-1-1-2-211-1100-11002i3−2i3−i3i3−i3i300−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i40000000-4000004i−4i000000000000000000000000000000000022−22−2i22i2000000000000000000000000
χ864-44i−4i00044000-4-44i−4i4i−4i40000000-4000004i−4i0000000000000000000000000000000000−22222i2−2i2000000000000000000000000
χ874-4−4i4i00044000-4-4−4i4i−4i4i40000000-400000−4i4i000000000000000000000000000000000022−222i2−2i2000000000000000000000000
χ884-4−4i4i00044000-4-4−4i4i−4i4i40000000-400000−4i4i0000000000000000000000000000000000−2222−2i22i2000000000000000000000000
χ898-88i−8i0008-4000-848i−8i−4i4i-40000000400000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-40000000400000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i2000006-6-2000002i−2i006i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i200000-66-2000002i−2i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-400000004000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-400000004000004i−4i00000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i2000006-6-200000−2i2i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i200000-66-200000−2i2i006i−6i0000000000000000000000000000000000000000000000000000000000

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