Finite Group Databasebeta

← Group #11865061

Character table — Group #11865061

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242422222244446666668812121212121224242424224424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1
χ911-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-111-1-11-11-11-11-111-1-11-11-111-1-111-1-11-11-11-1
χ1011-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-111-1-1-11-11-11-1111-1-11-1-11-1-11111-1-1-11-11-11
χ1111-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-1-1-1111-11-11-11-1-1-111-111-111-1-1-1-111-11-11-11
χ1211-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-11-11-111-1-1111111-1-1-1-1-1-1-1-111-11-11-11-11-1-111-11-11-1-111-1-1111-11-11-1
χ1311-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-111111111-1-11-11-1-111-111-1-1-111-1-1-111-1-1111-11-1-11
χ1411-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-111111111-1-1-11-111-1-1111-1-1-11-1111-1-1-1-111-11-111-1
χ1511-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-1111111-1-1111-11-1-111-1-1-1111-11-1-1-11111-1-1-11-111-1
χ1611-1-1111-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-111111-1-111-1-1-111-1-1-1-1-1-1111111-1-111-11-111-1-11-1-1111-1-1111-1-111-1-11-11-1-11
χ172222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-22-2000000002-22-2000000000000000000
χ182222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22-2200000000-22-22000000000000000000
χ19222222-12222-1-1-1222-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-122000000-1-1-1-1000000
χ20222222-12222-1-1-1222-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111-2-20000001111000000
χ21222222-12222-1-1-1222-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111222200000000-1-1-1-1-2-20000001111000000
χ22222222-12222-1-1-1222-122-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-200000000111122000000-1-1-1-1000000
χ23222222-1-2-2-2-2-1-1-12-2-2-122-1-1-1-1-1211-2-2-2111111-1-100110000333−3−3−3333−3−3−32-22-200000000-11-11000000003−33−3000000
χ24222222-1-2-2-2-2-1-1-12-2-2-122-1-1-1-1-1211-2-2-2111111-1-100110000333−3−3−3333−3−3−3-22-22000000001-11-100000000−33−33000000
χ25222222-1-2-2-2-2-1-1-12-2-2-122-1-1-1-1-1211-2-2-2111111-1-100110000−3−3−3333−3−3−33332-22-200000000-11-1100000000−33−33000000
χ26222222-1-2-2-2-2-1-1-12-2-2-122-1-1-1-1-1211-2-2-2111111-1-100110000−3−3−3333−3−3−3333-22-22000000001-11-1000000003−33−3000000
χ2722222-122222222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-10000222222-1-1000000-1-1-1-1-1-10000000000
χ2822222-122222222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-10000-2-2-2-2-2-2110000001111110000000000
χ2922222-122222222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-12-1-12-1-1-2-2-1-11111-211-211-211-21100002222-2-2-1-1000000-1-111110000000000
χ3022222-122222222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-12-1-12-1-1-2-2-1-11111-211-211-211-2110000-2-2-2-2221100000011-1-1-1-10000000000
χ31222-2-2222-22-222222222-2-2-2222-22-2-22-222222-2-2-200-2-2000000000000000000000000000000000000000000002-2-2200
χ32222-2-2222-22-222222222-2-2-2222-22-2-22-222222-2-2-200-2-200000000000000000000000000000000000000000000-222-200
χ33222-2-222-22-222222-2-222-2-2-2222-2-222-22-2-2-2-2-22-2-20022000000000000000000002-2-22002-2000000-2200000000000000
χ34222-2-222-22-222222-2-222-2-2-2222-2-222-22-2-2-2-2-22-2-2002200000000000000000000-222-200-220000002-200000000000000
χ35222-2-2-12-22-22222-111-1-11-2-2-1-1-11-22-11-111-21121100-1-13−33−303−303−303−303−300002-2-2200-110000001-13−33−30000000000
χ36222-2-2-12-22-22222-111-1-11-2-2-1-1-11-22-11-111-21121100-1-13−33−303−303−303−303−30000-222-2001-1000000-11−33−330000000000
χ37222-2-2-12-22-22222-111-1-11-2-2-1-1-11-22-11-111-21121100-1-1−33−330−330−330−330−3300002-2-2200-110000001-1−33−330000000000
χ38222-2-2-12-22-22222-111-1-11-2-2-1-1-11-22-11-111-21121100-1-1−33−330−330−330−330−330000-222-2001-1000000-113−33−30000000000
χ3922-22-2222-2-22-2-222-2-22-22-22-2-22-22-222-222-2-2-22-22002-20000000000000000000022-2-20022000000-2-200000000000000
χ4022-22-2222-2-22-2-222-2-22-22-22-2-22-22-222-222-2-2-22-22002-200000000000000000000-2-22200-2-20000002200000000000000
χ4122-22-222-222-2-2-222222-22-22-2-22-2-22-2-22-2-2222-2-2200-220000000000000000000000000000000000000000000022-2-200
χ4222-22-222-222-2-2-222222-22-22-2-22-2-22-2-22-2-2222-2-2200-2200000000000000000000000000000000000000000000-2-22200
χ4322-22-2-122-2-22-2-22-111-11-1-2211-112-2-1-11-1-1-21121-100-113−3−3303−303−30−330−33000022-2-200-1-1000000113−3−330000000000
χ4422-22-2-122-2-22-2-22-111-11-1-2211-112-2-1-11-1-1-21121-100-113−3−3303−303−30−330−330000-2-2220011000000-1-1−333−30000000000
χ4522-22-2-122-2-22-2-22-111-11-1-2211-112-2-1-11-1-1-21121-100-11−333−30−330−3303−303−3000022-2-200-1-100000011−333−30000000000
χ4622-22-2-122-2-22-2-22-111-11-1-2211-112-2-1-11-1-1-21121-100-11−333−30−330−3303−303−30000-2-2220011000000-1-13−3−330000000000
χ4722-2-222222-2-2-2-222-2-22-2-22-2-2-22222-22222-2-2-2-22-200-2200000000000000002-2-22000000002-2-22000000000000000000
χ4822-2-222222-2-2-2-222-2-22-2-22-2-2-22222-22222-2-2-2-22-200-220000000000000000-222-200000000-222-2000000000000000000
χ4922-2-222-122-2-211-12-2-2-1-2-2-1111-12-1-1-222-1-11111-11001-10000333−3−3−3−3−3−33332-2-2200000000-111-1000000003−3−33000000
χ5022-2-222-122-2-211-12-2-2-1-2-2-1111-12-1-1-222-1-11111-11001-10000333−3−3−3−3−3−3333-222-2000000001-1-1100000000−333−3000000
χ5122-2-222-122-2-211-12-2-2-1-2-2-1111-12-1-1-222-1-11111-11001-10000−3−3−3333333−3−3−32-2-2200000000-111-100000000−333−3000000
χ5222-2-222-122-2-211-12-2-2-1-2-2-1111-12-1-1-222-1-11111-11001-10000−3−3−3333333−3−3−3-222-2000000001-1-11000000003−3−33000000
χ5322-2-222-1-2-22211-1222-1-2-2-1111-12112-2-211-1-1-1-1-112-2-1122-2-2-1-1-1-1-1-111111122-2-200000000-1-1112-2000000-1-111000000
χ5422-2-222-1-2-22211-1222-1-2-2-1111-12112-2-211-1-1-1-1-112-2-1122-2-2-1-1-1-1-1-1111111-2-2220000000011-1-1-2200000011-1-1000000
χ5522-2-222-1-2-22211-1222-1-2-2-1111-12112-2-211-1-1-1-1-11-22-11-2-222111111-1-1-1-1-1-122-2-200000000-1-111-2200000011-1-1000000
χ5622-2-222-1-2-22211-1222-1-2-2-1111-12112-2-211-1-1-1-1-11-22-11-2-222111111-1-1-1-1-1-1-2-2220000000011-1-12-2000000-1-111000000
χ5722-2-22-12-2-222-2-22-1-1-1-1112-211-1-1-2-2-111112-1-12-112-2-11-1-1112-1-12-1-1-211-21100002-22-22-2-11000000-11-1-1110000000000
χ5822-2-22-12-2-222-2-22-1-1-1-1112-211-1-1-2-2-111112-1-12-112-2-11-1-1112-1-12-1-1-211-2110000-22-22-221-10000001-111-1-10000000000
χ5922-2-22-12-2-222-2-22-1-1-1-1112-211-1-1-2-2-111112-1-12-11-22-1111-1-1-211-2112-1-12-1-100002-22-2-22-11000000-1111-1-10000000000
χ6022-2-22-12-2-222-2-22-1-1-1-1112-211-1-1-2-2-111112-1-12-11-22-1111-1-1-211-2112-1-12-1-10000-22-222-21-10000001-1-1-1110000000000
χ6144444-24-4-4-4-4444-222-2-2-244-2-2-2-2-4-422222-422-4-2-2002200000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-2114411-2-2-2-2-211-211-211-2110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-211-211-4-41122222-1-12-1-12-1-12-1-10000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-12-1-121100-1-1000023−3−3−233323−3−3−23330000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-12-1-121100-1-10000−233323−3−3−233323−3−30000000000000000000000000000000000
χ66444-4-44-24-44-4-2-2-2444-24-422-2-2-2-4-22-44-4-2-2-2-2-2222002200000000000000000000000000000000000000000000000000
χ67444-4-44-2-44-44-2-2-24-4-4-24-422-2-2-2-42-24-4422222-22200-2-200000000000000000000000000000000000000000000000000
χ68444-4-4-244-44-4444-2-2-2-2-22-4-4-2-2-224-42-22-2-24-2-2-422002200000000000000000000000000000000000000000000000000
χ69444-4-4-2-24-44-4-2-2-2-2-2-21-22221112-222-2211-2112-1-100-1-1000003-30-3303-30-330000000000000000000000000000000000
χ70444-4-4-2-24-44-4-2-2-2-2-2-21-22221112-222-2211-2112-1-100-1-100000-3303-30-3303-30000000000000000000000000000000000
χ71444-4-4-2-2-44-44-2-2-2-2221-222211122-2-22-2-1-12-1-1-2-1-1001123−2323−230−330−330−330−330000000000000000000000000000000000
χ72444-4-4-2-2-44-44-2-2-2-2221-222211122-2-22-2-1-12-1-1-2-1-10011−2323−232303−303−303−303−30000000000000000000000000000000000
χ7344-44-44-24-4-4422-24-4-4-2-442-222-2-4-2244-4-2-2222-22-200-2200000000000000000000000000000000000000000000000000
χ7444-44-44-2-444-422-2444-2-442-222-2-42-2-4-4422-2-2-222-2002-200000000000000000000000000000000000000000000000000
χ7544-44-4-24-444-4-4-44-2-2-2-22-2-4422-22-4422-2224-2-2-42-2002-200000000000000000000000000000000000000000000000000
χ7644-44-4-2-24-4-4422-2-22212-22-2-1-112-22-2-22112-1-1-2-11001-123−23−23230−330−3303−303−30000000000000000000000000000000000
χ7744-44-4-2-24-4-4422-2-22212-22-2-1-112-22-2-22112-1-1-2-11001-1−232323−2303−303−30−330−330000000000000000000000000000000000
χ7844-44-4-2-2-444-422-2-2-2-212-22-2-1-1122-222-2-1-1-2112-1100-11000003-30-330-3303-30000000000000000000000000000000000
χ7944-44-4-2-2-444-422-2-2-2-212-22-2-1-1122-222-2-1-1-2112-1100-1100000-3303-303-30-330000000000000000000000000000000000
χ8044-4-44-2444-4-4-4-44-222-2224-422-2-2442-2-2-2-2-422-4-22002-200000000000000000000000000000000000000000000000000
χ8144-4-44-2-244-4-422-2-222122-22-1-11-2-2-22-2-2112-1-121-100-11000023−3−3−2333−233323−3−30000000000000000000000000000000000
χ8244-4-44-2-244-4-422-2-222122-22-1-11-2-2-22-2-2112-1-121-100-110000−233323−3−323−3−3−23330000000000000000000000000000000000
χ8344-4-44-2-2-4-44422-2-2-2-2122-22-1-11-222-222-1-1-211-21-14-41-1-2-222-211-2112-1-12-1-10000000000000000000000000000000000
χ8444-4-44-2-2-4-44422-2-2-2-2122-22-1-11-222-222-1-1-211-21-1-441-122-2-22-1-12-1-1-211-2110000000000000000000000000000000000
χ858-800088000000-8-8008000000-800000000000000000000000000000000000000000000000000000000000000000000
χ868-80008-40000−4i34i34-800-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000000000
χ878-80008-400004i3−4i34-800-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000000000
χ888-8000-48000000-8443−43-4000000400000000043−43000000000000000000000000000000000000000000000000000000000
χ898-8000-48000000-84−4343-40000004000000000−4343000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i34443−43200002i3−2i3-20000006i−6i0−2323000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i344−4343200002i3−2i3-2000000−6i6i023−23000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i34443−4320000−2i32i3-2000000−6i6i0−2323000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i344−434320000−2i32i3-20000006i−6i023−23000000000000000000000000000000000000000000000000000000000

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