Finite Group Databasebeta

← Group #11778183

Character table — Group #11778183

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222224444444444444444448888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222223366666666663444466666666612121212266666666121212121212121212121212121222244444666666121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1
χ9222222222222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222220000000000000000000000000000
χ102222222222222222222-2-2-2-2222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ112222222-1-1-1-1-1-12-1-122-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200002200-1-1-1-1-1-1-1-10000000000
χ122222222-1-1-1-1-1-12-1-122-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-200111111110000000000
χ132222222-1-1-1-1-1-12-1-122-122-2-222-1-1-1-1-1-1-12222-2-2-211111111-1-1-2-21111-1-1-1-10000000000−i3−i3i3i3−i3−i3i3i30000000000
χ142222222-1-1-1-1-1-12-1-122-122-2-222-1-1-1-1-1-1-12222-2-2-211111111-1-1-2-21111-1-1-1-10000000000i3i3−i3−i3i3i3−i3−i30000000000
χ152222222-1-1-1-1-1-12-1-122-1-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111-1-11122-1-1-1-11111220000-2-200-1-1-1-111110000000000
χ162222222-1-1-1-1-1-12-1-122-1-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111-1-11122-1-1-1-11111-2-2000022001111-1-1-1-10000000000
χ172222222-1-1-1-1-1-12-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-11111-2-2111111110000000000−i3−i3i3i3i3i3−i3−i30000000000
χ182222222-1-1-1-1-1-12-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-11111-2-2111111110000000000i3i3−i3−i3−i3−i3i3i30000000000
χ19222222-1222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-100222200-1-100000000-1-1-1-1-1-10000
χ20222222-1222222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-2-2-20011000000001111110000
χ21222222-1222222-122-1-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-21111-2-222111111-1-1-1-100000000−i3i300000000−i3i3−i3−i3i3i30000
χ22222222-1222222-122-1-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-21111-2-222111111-1-1-1-100000000i3−i300000000i3−i3i3i3−i3−i30000
χ23222222-1222222-122-1-1-1-2-222-1-1-1-1-1-1-1-1-11111-211-2-2111122-2-2-1-1-1-1-1-111110022-2-200-1-100000000-1-111110000
χ24222222-1222222-122-1-1-1-2-222-1-1-1-1-1-1-1-1-11111-211-2-2111122-2-2-1-1-1-1-1-1111100-2-22200110000000011-1-1-1-10000
χ25222222-1222222-122-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-111112-1-122-1-1-1-1-2-2-2-2111111111100000000−i3i300000000−i3i3i3i3−i3−i30000
χ26222222-1222222-122-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-111112-1-122-1-1-1-1-2-2-2-2111111111100000000i3−i300000000i3−i3−i3−i3i3i30000
χ272222-2-2222-2-2222-2-2222002-2-2-22-2-2-2-22200000000000002-2002-222-2-2000000002-2000000000000002-22-20000
χ282222-2-2222-2-2222-2-2222002-2-2-22-2-2-2-22200000000000002-2002-222-2-200000000-2200000000000000-22-220000
χ292222-2-2222-2-2222-2-222200-22-2-22-2-2-2-2220000000000000-2200-22-2-2220000002-200002200000000-2-200000000
χ302222-2-2222-2-2222-2-222200-22-2-22-2-2-2-2220000000000000-2200-22-2-222000000-220000-2-2000000002200000000
χ312222-2-2-122-2-222-1-2-2-1-1-1002-211-11111-1-1−i3−i3i3i30−i3i300−i3−i3i3i32-200-11-1-111−i3−i3i3i300002-200−i3i300000000i3−i3-11-110000
χ322222-2-2-122-2-222-1-2-2-1-1-1002-211-11111-1-1−i3−i3i3i30−i3i300−i3−i3i3i32-200-11-1-111−i3−i3i3i30000-2200i3−i300000000−i3i31-11-10000
χ332222-2-2-122-2-222-1-2-2-1-1-1002-211-11111-1-1i3i3−i3−i30i3−i300i3i3−i3−i32-200-11-1-111i3i3−i3−i300002-200i3−i300000000−i3i3-11-110000
χ342222-2-2-122-2-222-1-2-2-1-1-1002-211-11111-1-1i3i3−i3−i30i3−i300i3i3−i3−i32-200-11-1-111i3i3−i3−i30000-2200−i3i300000000i3−i31-11-10000
χ352222-2-2-122-2-222-1-2-2-1-1-100-2211-11111-1-1−i3−i3i3i30i3−i300i3i3−i3−i3-22001-111-1-1−i3−i3i3i3002-20000-1-10000000011−i3i3i3−i30000
χ362222-2-2-122-2-222-1-2-2-1-1-100-2211-11111-1-1−i3−i3i3i30i3−i300i3i3−i3−i3-22001-111-1-1−i3−i3i3i300-2200001100000000-1-1i3−i3−i3i30000
χ372222-2-2-122-2-222-1-2-2-1-1-100-2211-11111-1-1i3i3−i3−i30−i3i300−i3−i3i3i3-22001-111-1-1i3i3−i3−i3002-20000-1-10000000011i3−i3−i3i30000
χ382222-2-2-122-2-222-1-2-2-1-1-100-2211-11111-1-1i3i3−i3−i30−i3i300−i3−i3i3i3-22001-111-1-1i3i3−i3−i300-2200001100000000-1-1−i3i3i3−i30000
χ3922-2-22-222222-2-22-2-2-2-222i−2i002-2222-2-2-2-22i−2i2i−2i000000000002i−2i0000002i−2i2i−2i0000000000000000000000002−2−i2i2
χ4022-2-22-222222-2-22-2-2-2-222i−2i002-2222-2-2-2-22i−2i2i−2i000000000002i−2i0000002i−2i2i−2i000000000000000000000000−22i2−i2
χ4122-2-22-222222-2-22-2-2-2-22−2i2i002-2222-2-2-2-2−2i2i−2i2i00000000000−2i2i000000−2i2i−2i2i0000000000000000000000002−2i2−i2
χ4222-2-22-222222-2-22-2-2-2-22−2i2i002-2222-2-2-2-2−2i2i−2i2i00000000000−2i2i000000−2i2i−2i2i000000000000000000000000−22−i2i2
χ43444444-2-2-2-2-2-2-2-2-2-2-2-214444-2-21111111-2-2-2-24-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000
χ44444444-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-2-21111111-2-2-2-2-42222-1-1-1-122-2-222-1-1-1-111110000000000000000000000000000
χ45444444-2-2-2-2-2-2-2-2-2-2-2-21-4-444-2-211111112222-42222-1-1-1-1-2-222-2-21111-1-1-1-10000000000000000000000000000
χ46444444-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2111111122224-2-2-2-21111222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ474444-4-44-2-222-2-242244-2004-4-4-4-22222-2-20000000000000-22004-4-2-22200000000000000000000000000000000
χ484444-4-44-2-222-2-242244-200-44-4-4-22222-2-200000000000002-200-4422-2-200000000000000000000000000000000
χ494444-4-4-2-2-222-2-2-222-2-21004-4221-1-1-1-111−2i3−2i32i32i30−2i32i300i3i3−i3−i3-2200-2211-1-1i3i3−i3−i30000000000000000000000000000
χ504444-4-4-2-2-222-2-2-222-2-21004-4221-1-1-1-1112i32i3−2i3−2i302i3−2i300−i3−i3i3i3-2200-2211-1-1−i3−i3i3i30000000000000000000000000000
χ514444-4-4-2-2-222-2-2-222-2-2100-44221-1-1-1-111−2i3−2i32i32i302i3−2i300−i3−i3i3i32-2002-2-1-111i3i3−i3−i30000000000000000000000000000
χ524444-4-4-2-2-222-2-2-222-2-2100-44221-1-1-1-1112i32i3−2i3−2i30−2i32i300i3i3−i3−i32-2002-2-1-111−i3−i3i3i30000000000000000000000000000
χ5344-4-44-44-2-2-2-222422-4-4-24i−4i004-4-2-2-222224i−4i4i−4i00000000000−2i2i000000−2i2i−2i2i0000000000000000000000000000
χ5444-4-44-44-2-2-2-222422-4-4-2−4i4i004-4-2-2-22222−4i4i−4i4i000000000002i−2i0000002i−2i2i−2i0000000000000000000000000000
χ5544-4-44-4-24444-4-4-2-4-422-24i−4i00-22-2-2-22222−2i2i−2i2i000000000004i−4i000000−2i2i−2i2i0000000000000000000000000000
χ5644-4-44-4-24444-4-4-2-4-422-2−4i4i00-22-2-2-222222i−2i2i−2i00000000000−4i4i0000002i−2i2i−2i0000000000000000000000000000
χ5744-4-44-4-2-2-2-2-222-2222214i−4i00-22111-1-1-1-1−2i2i−2i2i000003-33-300−2i2i003i−3i3i−3ii−ii−i0000000000000000000000000000
χ5844-4-44-4-2-2-2-2-222-2222214i−4i00-22111-1-1-1-1−2i2i−2i2i00000-33-3300−2i2i00−3i3i−3i3ii−ii−i0000000000000000000000000000
χ5944-4-44-4-2-2-2-2-222-222221−4i4i00-22111-1-1-1-12i−2i2i−2i000003-33-3002i−2i00−3i3i−3i3i−ii−ii0000000000000000000000000000
χ6044-4-44-4-2-2-2-2-222-222221−4i4i00-22111-1-1-1-12i−2i2i−2i00000-33-33002i−2i003i−3i3i−3i−ii−ii0000000000000000000000000000
χ6144-4-4-44444-4-4-4-4444-4-440000-444-4-444-4-40000000000000000000000000000000000000000000000000000000
χ6244-4-4-444-2-222224-2-2-4-4-20000-44-222-2-2220000000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000
χ6344-4-4-444-2-222224-2-2-4-4-20000-44-222-2-22200000002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000
χ6444-4-4-44-244-4-4-4-4-24422-200002-2-222-2-22223−23−2323000000000000000000023−23−23230000000000000000000000000000
χ6544-4-4-44-244-4-4-4-4-24422-200002-2-222-2-222−232323−230000000000000000000−232323−230000000000000000000000000000
χ6644-4-4-44-2-2-22222-2-2-222100002-21-1-111-1-123−23−2323000−2i32i3i3−i3−i3i3000000−3i3i3i−3i−333−30000000000000000000000000000
χ6744-4-4-44-2-2-22222-2-2-222100002-21-1-111-1-123−23−23230002i3−2i3−i3i3i3−i30000003i−3i−3i3i−333−30000000000000000000000000000
χ6844-4-4-44-2-2-22222-2-2-222100002-21-1-111-1-1−232323−23000−2i32i3i3−i3−i3i30000003i−3i−3i3i3−3−330000000000000000000000000000
χ6944-4-4-44-2-2-22222-2-2-222100002-21-1-111-1-1−232323−230002i3−2i3−i3i3i3−i3000000−3i3i3i−3i3−3−330000000000000000000000000000
χ704-44-40044-4004-4-4004-44000000-400004-40000000000000000000000000000000002-20000002-22-20000000000
χ714-44-40044-4004-4-4004-44000000-400004-4000000000000000000000000000000000-22000000-22-220000000000
χ724-44-4004-22−2i32i3-22-4−2i32i34-4-20000002−2i32i3−2i32i3-220000000000000000000000000000000002-2000000−1−i31+i3−1+i31−i30000000000
χ734-44-4004-22−2i32i3-22-4−2i32i34-4-20000002−2i32i3−2i32i3-22000000000000000000000000000000000-220000001+i3−1−i31−i3−1+i30000000000
χ744-44-4004-222i3−2i3-22-42i3−2i34-4-200000022i3−2i32i3−2i3-220000000000000000000000000000000002-2000000−1+i31−i3−1−i31+i30000000000
χ754-44-4004-222i3−2i3-22-42i3−2i34-4-200000022i3−2i32i3−2i3-22000000000000000000000000000000000-220000001−i3−1+i31+i3−1−i30000000000
χ764-4-440044-400-44-400-444000000-40000-440000000000000000000000000002-2000000002-22-200000000000000
χ774-4-440044-400-44-400-444000000-40000-44000000000000000000000000000-2200000000-22-2200000000000000
χ784-4-44004-22−2i32i32-2-42i3−2i3-44-20000002−2i32i32i3−2i32-20000000000000000000000000002-200000000−1−i31+i3−1+i31−i300000000000000
χ794-4-44004-22−2i32i32-2-42i3−2i3-44-20000002−2i32i32i3−2i32-2000000000000000000000000000-22000000001+i3−1−i31−i3−1+i300000000000000
χ804-4-44004-222i3−2i32-2-4−2i32i3-44-200000022i3−2i3−2i32i32-20000000000000000000000000002-200000000−1+i31−i3−1−i31+i300000000000000
χ814-4-44004-222i3−2i32-2-4−2i32i3-44-200000022i3−2i3−2i32i32-2000000000000000000000000000-22000000001−i3−1+i31+i3−1−i300000000000000
χ828-88-800-48-8008-8400-44-400000040000-440000000000000000000000000000000000000000000000000000000
χ838-88-800-4-44−4i34i3-444−4i34i3-442000000-22i3−2i32i3−2i32-20000000000000000000000000000000000000000000000000000000
χ848-88-800-4-444i3−4i3-4444i3−4i3-442000000-2−2i32i3−2i32i32-20000000000000000000000000000000000000000000000000000000
χ858-8-8800-48-800-884004-4-4000000400004-40000000000000000000000000000000000000000000000000000000
χ868-8-8800-4-44−4i34i34-444i3−4i34-42000000-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000
χ878-8-8800-4-444i3−4i34-44−4i34i34-42000000-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000

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