Finite Group Databasebeta

← Group #11795368

Character table — Group #11795368

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order124422233444661212121236666666661212121212121212121266881212242424242424242424242424242424248888888824242424242424242424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-1000000
χ1022222222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000111100001111000000
χ1122222222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111002200-2-20000-1-1-1-100001111000000
χ1222222222-12222-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-211111111111100-2-20022000011110000-1-1-1-1000000
χ132222222-12222-12-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-10000000000
χ142222222-12222-12-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2001111000011110000000000
χ152222222-12222-12-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-12-1-1-2-2-1-11111-2-2-2-2111111112200-2-200-1-1-1-1000011110000000000
χ162222222-12222-12-1-122-1-1-1-1222-1-1-1-1-122-1-1-1-1-12-1-1-2-2-1-11111-2-2-2-211111111-2-200220011110000-1-1-1-10000000000
χ1722222-2-2222-2-222222222-2-22-2-2-2-222-2-2-2-2-222-222-2002-200000000000000000000002-200000000000022-2-2000000
χ1822222-2-2222-2-222222222-2-22-2-2-2-222-2-2-2-2-222-222-2002-20000000000000000000000-22000000000000-2-222000000
χ1922222-2-22-12-2-22-122-1-1-12-2-2-11111-12-21111-1-1-2-1-1100-110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000002-20000−i3−i3i3i30000-1-111000000
χ2022222-2-22-12-2-22-122-1-1-12-2-2-11111-12-21111-1-1-2-1-1100-110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000-220000i3i3−i3−i3000011-1-1000000
χ2122222-2-22-12-2-22-122-1-1-12-2-2-11111-12-21111-1-1-2-1-1100-110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000002-20000i3i3−i3−i30000-1-111000000
χ2222222-2-22-12-2-22-122-1-1-12-2-2-11111-12-21111-1-1-2-1-1100-110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000-220000−i3−i3i3i3000011-1-1000000
χ232222-22-222-22-22222222-22-2-22-2-2-22-2-22-2-2-2222-2-2200-22000000000000000000002-2000000000022-2-20000000000
χ242222-22-222-22-22222222-22-2-22-2-2-22-2-22-2-2-2222-2-2200-2200000000000000000000-220000000000-2-2220000000000
χ252222-22-2-12-22-2-12-1-122-11-11-22-211-1112-211-1-1-1-21-1001-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300002-200−i3−i3i3i30000-1-1110000000000
χ262222-22-2-12-22-2-12-1-122-11-11-22-211-1112-211-1-1-1-21-1001-1−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000-2200i3i3−i3−i3000011-1-10000000000
χ272222-22-2-12-22-2-12-1-122-11-11-22-211-1112-211-1-1-1-21-1001-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002-200i3i3−i3−i30000-1-1110000000000
χ282222-22-2-12-22-2-12-1-122-11-11-22-211-1112-211-1-1-1-21-1001-1i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000-2200−i3−i3i3i3000011-1-10000000000
χ292222-2-2222-2-222222222-2-22-2-22222-22-222222-2-2-2-200-2-2000000000000000000000000000000000000000000002-2
χ302222-2-2222-2-222222222-2-22-2-22222-22-222222-2-2-2-200-2-200000000000000000000000000000000000000000000-22
χ3122-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000022-2-200
χ3222-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000-2-22200
χ3322-2-22-2-222-22222-2-2-2-222-2-22-2-2-2-22-222222-2-22-22-200-2200000000000000002i−2i0000002i−2i2i−2i000000000000000000
χ3422-2-22-2-222-22222-2-2-2-222-2-22-2-2-2-22-222222-2-22-22-200-220000000000000000−2i2i000000−2i2i−2i2i000000000000000000
χ3522-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11-122-1-111-1-2-11001-13−33−300003−33−33−33−32i−2i000000−ii−ii0000−i3i3−i3i30000000000
χ3622-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11-122-1-111-1-2-11001-13−33−300003−33−33−33−3−2i2i000000i−ii−i0000i3−i3i3−i30000000000
χ3722-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11-122-1-111-1-2-11001-1−33−330000−33−33−33−332i−2i000000−ii−ii0000i3−i3i3−i30000000000
χ3822-2-22-2-2-12-222-1211-2-2-1-1112-2-211-11-122-1-111-1-2-11001-1−33−330000−33−33−33−33−2i2i000000i−ii−i0000−i3i3−i3i30000000000
χ3922-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-2222-2222-2-2-22-22002-20000000000000000002i−2i000000002i−2i2i−2i00000000000000
χ4022-2-2-22-2222-2222-2-2-2-22-22-2-22-2-2-2222-2222-2-2-22-22002-2000000000000000000−2i2i00000000−2i2i−2i2i00000000000000
χ4122-2-2-22-22-12-222-1-2-211-1-22-21-1111-1221-1-1-111-2-11-100-1100003−33−33−3−33−333−3002i−2i00000000−ii−ii0000−i3i3−i3i3000000
χ4222-2-2-22-22-12-222-1-2-211-1-22-21-1111-1221-1-1-111-2-11-100-1100003−33−33−3−33−333−300−2i2i00000000i−ii−i0000i3−i3i3−i3000000
χ4322-2-2-22-22-12-222-1-2-211-1-22-21-1111-1221-1-1-111-2-11-100-110000−33−33−333−33−3−33002i−2i00000000−ii−ii0000i3−i3i3−i3000000
χ4422-2-2-22-22-12-222-1-2-211-1-22-21-1111-1221-1-1-111-2-11-100-110000−33−33−333−33−3−3300−2i2i00000000i−ii−i0000−i3i3−i3i3000000
χ4522-2-2-2-222222-222-2-2-2-22-2-22-2-222222-22-2-2-2-2-222-2-22i−2i222i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ4622-2-2-2-222222-222-2-2-2-22-2-22-2-222222-22-2-2-2-2-222-2-2−2i2i22−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ4722-2-2-2-222-122-22-1-2-211-1-2-2211-1-1-1-12-2-1111112-1112i−2i-1-12i−2i−2i2i−iii−i−iii−i−iii−i0000000000003−3−330000−i3i3i3−i3000000
χ4822-2-2-2-222-122-22-1-2-211-1-2-2211-1-1-1-12-2-1111112-1112i−2i-1-12i−2i−2i2i−iii−i−iii−i−iii−i000000000000−333−30000i3−i3−i3i3000000
χ4922-2-2-2-222-122-22-1-2-211-1-2-2211-1-1-1-12-2-1111112-111−2i2i-1-1−2i2i2i−2ii−i−iii−i−iii−i−ii0000000000003−3−330000i3−i3−i3i3000000
χ5022-2-2-2-222-122-22-1-2-211-1-2-2211-1-1-1-12-2-1111112-111−2i2i-1-1−2i2i2i−2ii−i−iii−i−iii−i−ii000000000000−333−30000−i3i3i3−i3000000
χ5122-2-2-2-22-1222-2-1211-2-2-111-1-2-22-1-1-1-112-21111-12112i−2i-1-1−iii−i2i−2i−2i2i−iii−i−iii−i000000003−3−330000−i3i3i3−i30000000000
χ5222-2-2-2-22-1222-2-1211-2-2-111-1-2-22-1-1-1-112-21111-12112i−2i-1-1−iii−i2i−2i−2i2i−iii−i−iii−i00000000−333−30000i3−i3−i3i30000000000
χ5322-2-2-2-22-1222-2-1211-2-2-111-1-2-22-1-1-1-112-21111-1211−2i2i-1-1i−i−ii−2i2i2i−2ii−i−iii−i−ii000000003−3−330000i3−i3−i3i30000000000
χ5422-2-2-2-22-1222-2-1211-2-2-111-1-2-22-1-1-1-112-21111-1211−2i2i-1-1i−i−ii−2i2i2i−2ii−i−iii−i−ii00000000−333−30000−i3i3i3−i30000000000
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-21111-2-2114411-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2-2-2111-2-2-2-21111-2-211-4-41122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-4-244-4-4-24-2-244-2-2224-4-422-2-22-4-422-2-224-2200-220000000000000000000000000000000000000000000000
χ5844444-4-4-2-24-4-4-2-2-2-2-2-21-222-222-1-11-2222-1-1112-21-1001-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-2-2-2-2-21-222-222-1-11-2222-1-1112-21-1001-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000
χ604444-44-44-2-44-44-244-2-2-2-44-42-2222-2-4-4-2222-2-2422-2002-20000000000000000000000000000000000000000000000
χ614444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-1122-22-1-111-22-1100-11−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ624444-44-4-2-2-44-4-2-2-2-2-2-212-222-22-1-1122-22-1-111-22-1100-112i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ634444-4-444-2-4-444-244-2-2-2-4-4422-2-2-2-2-442-2-2-2-2-2-422200220000000000000000000000000000000000000000000000
χ644444-4-44-24-4-44-24-2-244-222-2-4-44-2-2-22-2-44-2-2-2-22-42200220000000000000000000000000000000000000000000000
χ654444-4-44-2-2-4-44-2-2-2-2-2-2122-222-21112-22-2111122-1-100-1-10000000033-3-3-3-333000000000000000000000000000000
χ664444-4-44-2-2-4-44-2-2-2-2-2-2122-222-21112-22-2111122-1-100-1-100000000-3-33333-3-3000000000000000000000000000000
χ6744-4-44444-2-4-4-44-2-4-422-2444-2-2-2-2-2-2-4-4222222-42-2-200220000000000000000000000000000000000000000000000
χ6844-4-4444-24-4-4-4-2422-4-4-2-2-2-2444-2-2-222-4-422222-4-2-200220000000000000000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-21112222-1-1-1-1221100-1-1000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000
χ7044-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2-21112222-1-1-1-1221100-1-100000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000
χ7144-4-44-4-44-2-4444-2-4-422-24-4-4-22222-2-44-2-2-2-22242-22002-20000000000000000000000000000000000000000000000
χ7244-4-44-4-4-2-2-444-2-222221-222-222-1-112-2-2-211-1-1-221-100-1123−2323−230000−33−33−33−33000000000000000000000000000000
χ7344-4-44-4-4-2-2-444-2-222221-222-222-1-112-2-2-211-1-1-221-100-11−2323−232300003−33−33−33−3000000000000000000000000000000
χ7444-4-4-44-4-244-44-2422-4-4-22-22-44-422-2-2-2-44-2-222242-200-220000000000000000000000000000000000000000000000
χ7544-4-4-44-4-2-24-44-2-2222212-222-22-1-11-2-22-211-1-12-2-11001-1000023−2323−23−333−33−3−33000000000000000000000000000000
χ7644-4-4-44-4-2-24-44-2-2222212-222-22-1-11-2-22-211-1-12-2-11001-10000−2323−23233−3−33−333−3000000000000000000000000000000
χ7744-4-4-4-44-2-244-4-2-22222122-222-2111-22-22-1-1-1-1-2-2-1-14i−4i11−2i2i2i−2i−2i2i2i−2ii−i−iii−i−ii000000000000000000000000000000
χ7844-4-4-4-44-2-244-4-2-22222122-222-2111-22-22-1-1-1-1-2-2-1-1−4i4i112i−2i−2i2i2i−2i−2i2i−iii−i−iii−i000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i400000000-40000004i−4i0000000000000000000000000000000000000000000000002-22i−2i00
χ804-44i−4i00044000-4-44i−4i4i−4i400000000-40000004i−4i000000000000000000000000000000000000000000000000-22−2i2i00
χ814-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000000−4i4i0000000000000000000000000000000000000000000000002-2−2i2i00
χ824-4−4i4i00044000-4-4−4i4i−4i4i400000000-4000000−4i4i000000000000000000000000000000000000000000000000-222i−2i00
χ838-88i−8i0008-4000-848i−8i−4i4i-4000000004000000−4i4i000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-4000000004000000−4i4i000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i20000006-6-200006i−6i2i−2i000000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i2000000-66-20000−6i6i2i−2i000000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-40000000040000004i−4i000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-40000000040000004i−4i000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i20000006-6-20000−6i6i−2i2i000000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i2000000-66-200006i−6i−2i2i000000000000000000000000000000000000000000000000000000

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