Finite Group Databasebeta

← Group #11889137

Character table — Group #11889137

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order1222334466666636668812121212242424242266662466121212122424242424242224444881212242424246661212124466681212122424441212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-11111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-111111111-1-1111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-111111-1-1-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-11-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-11-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-111-11-1-1-1-1-111-1-1-1-1111-1-1-11-1-1111-1-1-111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-11111-11-1-1-1111-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1111-11-1-1-1111-111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11-111111-1-11111111-1-1-1-111-1-1-1111-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-11-1-1-1-1111-11111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111-11-1-111-1-11111-1-1-11111-1111-1-1-11-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1111-11-1111-1-1-111111-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-2000000002-2-20000-2-2000000000000200000-2002-200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-200000000-2-220000-2-2000000000000-200000200-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-20000000022-2000022000000000000200000-200-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-200000000-222000022000000000000-2000002002-200000
χ2122222-1222-1-12-12-1-1-1-122-12-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1220202222-1-1-1-1-1-12-1-12-1-1000-1-10-1-10000000000
χ2222222-1222-1-12-12-1-1-1-122-12-12-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-1-2-2020-2-222-1-1-1-1-1-1-211-211000110110000000000
χ2322222-1222-1-12-12-1-1-1-122-12-12-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-1-2-20-20-2-2-2-21111112-1-12-1-1000110110000000000
χ2422222-1222-1-12-12-1-1-1-122-12-12-1-1-1-1-2-21111-2-21111-1-122-1-1-1-1220-2022-2-2111111-211-211000-1-10-1-10000000000
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-12111122-1-1-1-12-2-1-111-1-1-2-2111122020-2-2-2-2-1-111112-1-1-211000-1-10110000000000
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-12111122-1-1-1-1-2211-1-1-1-1-2-21111-2-202022-2-2-1-11111-2112-1-1000110-1-10000000000
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-121111-2-211112-2-1-111-1-1-2-21111-2-20-20222211-1-1-1-12-1-1-211000110-1-10000000000
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-121111-2-21111-2211-1-1-1-1-2-21111220-20-2-22211-1-1-1-1-2112-1-1000-1-10110000000000
χ292222-1222-122-12-1-1-1-1-1222-12-12222000000222222-1-1-1-1-1-1-1-1002020000000000-1-1-1-1-1-122-100200-1-1-100-1-1000
χ302222-1222-122-12-1-1-1-1-1222-12-12222000000222222-1-1-1-1-1-1-1-100-20-20000000000-1-1-1-1-1-1-2-2100-2001110011000
χ312222-1222-122-12-1-1-1-1-1222-12-12222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1002020000000000111111-2-2-100200-1-1-10011000
χ322222-1222-122-12-1-1-1-1-1222-12-12222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-100-20-2000000000011111122100-20011100-1-1000
χ332222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-20000002-222-2-2-1-1111111002020000000000-1-1-1111-22-100-200-11100-11000
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-20000002-222-2-2-1-111111100-20-20000000000-1-1-11112-21002001-1-1001-1000
χ352222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2000000-22-2-222-1-1111111002020000000000111-1-1-12-2-100-200-111001-1000
χ362222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2000000-22-2-222-1-111111100-20-20000000000111-1-1-1-221002001-1-100-11000
χ3722-2-222-22-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i2-20002i−2i000000000000000002-202i−2i0000000000
χ3822-2-222-22-2-22-2-222-22-22i−2i22-2-22i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i-22000−2i2i00000000000000000-220−2i2i0000000000
χ3922-2-222-22-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i2-2000−2i2i000000000000000002-20−2i2i0000000000
χ4022-2-222-22-2-22-2-222-22-2−2i2i22-2-2−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i-220002i−2i00000000000000000-2202i−2i0000000000
χ4122-2-22-1-22-21-1-212-11-112i−2i-121-2−i−iii00−i3−i3i3i300−i3i33−3-112i−2i−i−iii2-20002i−2i00−i3i333−3−30−i3i303−3000-110−ii0000000000
χ4222-2-22-1-22-21-1-212-11-112i−2i-121-2−i−iii00−i3−i3i3i300i3−i3−33-112i−2i−i−iii-22000−2i2i00−i3i333−3−30i3−i30−330001-10i−i0000000000
χ4322-2-22-1-22-21-1-212-11-112i−2i-121-2−i−iii00i3i3−i3−i300−i3i33−3-112i−2i−i−iii-22000−2i2i00i3−i3−3−3330−i3i303−30001-10i−i0000000000
χ4422-2-22-1-22-21-1-212-11-112i−2i-121-2−i−iii00i3i3−i3−i300i3−i3−33-112i−2i−i−iii2-20002i−2i00i3−i3−3−3330i3−i30−33000-110−ii0000000000
χ4522-2-22-1-22-21-1-212-11-11−2i2i-121-2ii−i−i00−i3−i3i3i300−i3i3−33-11−2i2iii−i−i2-2000−2i2i00−i3i3−3−3330−i3i30−33000-110i−i0000000000
χ4622-2-22-1-22-21-1-212-11-11−2i2i-121-2ii−i−i00−i3−i3i3i300i3−i33−3-11−2i2iii−i−i-220002i−2i00−i3i3−3−3330i3−i303−30001-10−ii0000000000
χ4722-2-22-1-22-21-1-212-11-11−2i2i-121-2ii−i−i00i3i3−i3−i300−i3i3−33-11−2i2iii−i−i-220002i−2i00i3−i333−3−30−i3i30−330001-10−ii0000000000
χ4822-2-22-1-22-21-1-212-11-11−2i2i-121-2ii−i−i00i3i3−i3−i300i3−i33−3-11−2i2iii−i−i2-2000−2i2i00i3−i333−3−30i3−i303−3000-110i−i0000000000
χ4944444-2-4-44-2-24-24-2-2-2-2002-42-4000044-2-2-2-200000022000000000-400000220000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-2002-42-40000-4-4222200000022000000000400000-2-20000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-200-42-420000000000000000220000000040-4000000000000000000-2000002000000000
χ524444-24-4-4-244-24-2-2-2-2-200-42-4200000000000000002200000000-404000000000000000000200000-2000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000000-211-211000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-4222211-2-211110000000000000002-1-12-1-1000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-2221122-1-1-1-1000000000000000-2112-1-1000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-4422-2-21122-1-1-1-10000000000000002-1-1-211000000000000000000
χ5744-4-4444-4-4-44-4-444-44-400-4-4440000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-24-4-42-2-424-22-22002-4-24000000−2i3−2i32i32i30000002-20000000000000002i3−2i30000000000000000000000000000
χ5944-4-44-24-4-42-2-424-22-22002-4-240000002i32i3−2i3−2i30000002-2000000000000000−2i32i30000000000000000000000000000
χ6044-4-4-244-42-442-4-2-22-2200-424-200000000000000002-2000000000000000000000000000000000000−2i32i30000000
χ6144-4-4-244-42-442-4-2-22-2200-424-200000000000000002-20000000000000000000000000000000000002i3−2i30000000
χ6244-4-4-24-442-442-4-2-22-224i−4i4-2-424i4i−4i−4i000000000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ6344-4-4-24-442-442-4-2-22-22−4i4i4-2-42−4i−4i4i4i000000000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ6444-4-4-2-2-4422-222-21-11-14i−4i-2-222−2i−2i2i2i00000000−2i32i323−231-1−2i2iii−i−i0000000000000000i3−i30−33000000000000000000
χ6544-4-4-2-2-4422-222-21-11-14i−4i-2-222−2i−2i2i2i000000002i3−2i3−23231-1−2i2iii−i−i0000000000000000−i3i303−3000000000000000000
χ6644-4-4-2-2-4422-222-21-11-1−4i4i-2-2222i2i−2i−2i00000000−2i32i3−23231-12i−2i−i−iii0000000000000000i3−i303−3000000000000000000
χ6744-4-4-2-2-4422-222-21-11-1−4i4i-2-2222i2i−2i−2i000000002i3−2i323−231-12i−2i−i−iii0000000000000000−i3i30−33000000000000000000
χ684-44-44400-4-4-444-44-4-4400000000004-44-44-400000000000000000000000000000000000000000000000000000
χ694-44-44400-4-4-444-44-4-440000000000-44-44-4400000000000000000000000000000000000000000000000000000
χ704-44-44-200-4224-2-4-222-2000000i6−i6i6−i64-4-22-220000000000i6−i6i6−i600000000000i6−i6i6−i6000000000000000000000000
χ714-44-44-200-4224-2-4-222-2000000i6−i6i6−i6-442-22-20000000000i6−i6i6−i600000000000−i6i6−i6i6000000000000000000000000
χ724-44-44-200-4224-2-4-222-2000000−i6i6−i6i64-4-22-220000000000−i6i6−i6i600000000000−i6i6−i6i6000000000000000000000000
χ734-44-44-200-4224-2-4-222-2000000−i6i6−i6i6-442-22-20000000000−i6i6−i6i600000000000i6−i6i6−i6000000000000000000000000
χ744-4-44440044-4-4-4-444-4-40000000000000000000000000000000000000−2i22i200−2i22i22i2−2i2000000000000000000000000
χ754-4-44440044-4-4-4-444-4-400000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ764-4-444-2004-22-42-4-2-2220000006−6−6600−2i32i32i3−2i300000000006−6−6600000002i2−2i200−i2i2i2−i2000000000000000000000000
χ774-4-444-2004-22-42-4-2-2220000006−6−66002i3−2i3−2i32i300000000006−6−660000000−2i22i200i2−i2−i2i2000000000000000000000000
χ784-4-444-2004-22-42-4-2-222000000−666−600−2i32i32i3−2i30000000000−666−60000000−2i22i200i2−i2−i2i2000000000000000000000000
χ794-4-444-2004-22-42-4-2-222000000−666−6002i3−2i3−2i32i30000000000−666−600000002i2−2i200−i2i2i2−i2000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-8-4-48-844-444-42-22-20044-4-40000000000000000-22000000000000000000000000000000000000000000000
χ828-88-8-48004-8-8-484-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-442-2-220000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ848-88-8-4-400444-4-442-2-22000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ858-8-88-4800-48-84-84-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-4-4444422-2-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000
χ878-8-88-4-400-4-4444422-2-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000

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