Finite Group Databasebeta

← Group #11876986

Character table — Group #11876986

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444444488888888888888888888888818181818181818182424242424242424363636364848484848484848
order12223344666666234666888812121212121212126666121212122424242424242424242424242424242444444444222244448888666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1-1-11-11-11-11-1
χ611111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1-1-1-11-11-11-11
χ711111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-11
χ811111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-111-1-111-1
χ911111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ1011111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ1111111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111
χ1211111111111111-11-111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1
χ1311111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1-11-11-1-1111-11-1-11-11
χ1411111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-111-11-1-1-111-11-111-11-1
χ1511111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11-111-111-1-11-1-11-111-1
χ1611111111111111-11-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-11-1-1111-1-1-111-11-1-11
χ17222222-2-222222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-222-2-200000000000000000000
χ18222222-2-222222222-22220000-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-222-2-22200000000000000000000
χ19222222-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-22200000000000000000000
χ20222222-2-2222222-2222220000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-200000000000000000000
χ2122222-1222-122-1-12-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000220022000000-1-100-1-1
χ2222222-1222-122-1-12-12-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-200-2-2000000110011
χ2322222-1222-122-1-12-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000002-2002-2000000-1100-11
χ2422222-1222-122-1-12-12-1-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000-2200-220000001-1001-1
χ2522222-1222-122-1-1-2-1-2-1-1-122-2-22-1-1-12-1-1-1-2111-211122-1-1-1-1-1-1-2-211111100000000002200-2-2000000-1-10011
χ2622222-1222-122-1-1-2-1-2-1-1-122-2-22-1-1-12-1-1-1-2111-211122-1-1-1-1-1-1-2-21111110000000000-2-200220000001100-1-1
χ2722222-1222-122-1-1-2-1-2-1-1-1-2-2222-1-1-12-1-1-1-2111-2111-2-211111122-1-1-1-1-1-100000000002-200-22000000-11001-1
χ2822222-1222-122-1-1-2-1-2-1-1-1-2-2222-1-1-12-1-1-1-2111-2111-2-211111122-1-1-1-1-1-10000000000-22002-20000001-100-11
χ292222-1222-12-1-1222-12-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000220022000000-1-100-1-100
χ302222-1222-12-1-1222-12-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-200-2-200000011001100
χ312222-1222-12-1-1222-12-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000002-2002-2000000-1100-1100
χ322222-1222-12-1-1222-12-1-1-1-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111100000000-2200-220000001-1001-100
χ332222-1222-12-1-122-2-1-2-1-1-122-2-2-12-1-1-12-1-11-2111-211-1-122-1-1-1-111-2-21111000000002200-2-2000000-1-1001100
χ342222-1222-12-1-122-2-1-2-1-1-122-2-2-12-1-1-12-1-11-2111-211-1-122-1-1-1-111-2-2111100000000-2-200220000001100-1-100
χ352222-1222-12-1-122-2-1-2-1-1-1-2-222-12-1-1-12-1-11-2111-21111-2-21111-1-122-1-1-1-1000000002-200-22000000-11001-100
χ362222-1222-12-1-122-2-1-2-1-1-1-2-222-12-1-1-12-1-11-2111-21111-2-21111-1-122-1-1-1-100000000-22002-20000001-100-1100
χ3722-2-2222-222-2-2-2-2020-2-222-200-2-2-2-22222000000002-22-222-2-20000000000002i−2i2i−2i00000000002i−2i00000000
χ3822-2-2222-222-2-2-2-2020-2-222-200-2-2-2-22222000000002-22-222-2-2000000000000−2i2i−2i2i0000000000−2i2i00000000
χ3922-2-2222-222-2-2-2-2020-2-22-2200-2-2-2-2222200000000-22-22-2-2220000000000002i−2i2i−2i0000000000−2i2i00000000
χ4022-2-2222-222-2-2-2-2020-2-22-2200-2-2-2-2222200000000-22-22-2-222000000000000−2i2i−2i2i00000000002i−2i00000000
χ4122-2-222-2222-2-2-2-2020-2-22002i−2i2222-2-2-2-200000000000000002i−2i2i−2i2i2i−2i−2i00002i−2i−2i2i000000002-20000000000
χ4222-2-222-2222-2-2-2-2020-2-22002i−2i2222-2-2-2-200000000000000002i−2i2i−2i2i2i−2i−2i0000−2i2i2i−2i00000000-220000000000
χ4322-2-222-2222-2-2-2-2020-2-2200−2i2i2222-2-2-2-20000000000000000−2i2i−2i2i−2i−2i2i2i00002i−2i−2i2i00000000-220000000000
χ4422-2-222-2222-2-2-2-2020-2-2200−2i2i2222-2-2-2-20000000000000000−2i2i−2i2i−2i−2i2i2i0000−2i2i2i−2i000000002-20000000000
χ4544444-2-4-44-244-2-24-2-4-2-2-20000-4222-42224-2-2-2-422200000000000000000000000000000000000000000000
χ4644444-2-4-44-244-2-2-4-24-2-2-20000-4222-4222-42224-2-2-200000000000000000000000000000000000000000000
χ474444-24-4-4-24-2-2444-2-4-2-2-200002-4222-422-24-2-22-42200000000000000000000000000000000000000000000
χ484444-24-4-4-24-2-244-4-24-2-2-200002-4222-4222-422-24-2-200000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24141114444-2-211-2-211-2-211-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2414111-4-4-4-4-2-211-2-211-2-211-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-411144-4-4-2-211-2-21122-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4111-4-444-2-211-2-21122-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-4111000022-1-122-1-1-2-21122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-4111000022-1-122-1-1-2-21122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-414111000022-1-122-1-122-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-414111000022-1-122-1-122-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000
χ5744-4-44-24-44-2-4-4220-2022-24-400-42224-2-2-2000000004-4-22-2-222000000000000000000000000000000000000
χ5844-4-44-24-44-2-4-4220-2022-2-4400-42224-2-2-200000000-442-222-2-2000000000000000000000000000000000000
χ5944-4-44-2-444-2-4-4220-2022-2004i−4i4-2-2-2-422200000000000000004i−4i−2i2i−2i−2i2i2i0000000000000000000000000000
χ6044-4-44-2-444-2-4-4220-2022-200−4i4i4-2-2-2-42220000000000000000−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000
χ6144-4-4-244-4-2422-4-40-2022-24-4002-422-24-2-200000000-224-4-2-222000000000000000000000000000000000000
χ6244-4-4-244-4-2422-4-40-2022-2-44002-422-24-2-2000000002-2-4422-2-2000000000000000000000000000000000000
χ6344-4-4-24-44-2422-4-40-2022-2004i−4i-24-2-22-4220000000000000000−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000
χ6444-4-4-24-44-2422-4-40-2022-200−4i4i-24-2-22-42200000000000000002i−2i−4i4i2i2i−2i−2i0000000000000000000000000000
χ6544-4-4-2-24-4-2-22222010-1-114-40022-1-1-2-211003-3003-3-22-2211-1-100003-3-330000000000000000000000000000
χ6644-4-4-2-24-4-2-22222010-1-114-40022-1-1-2-21100-3300-33-22-2211-1-10000-333-30000000000000000000000000000
χ6744-4-4-2-24-4-2-22222010-1-11-440022-1-1-2-211003-3003-32-22-2-1-1110000-333-30000000000000000000000000000
χ6844-4-4-2-24-4-2-22222010-1-11-440022-1-1-2-21100-3300-332-22-2-1-11100003-3-330000000000000000000000000000
χ6944-4-4-2-2-44-2-22222010-1-11004i−4i-2-21122-1-1003-300-3300003i−3i−3i3i−2i2i−2i2iii−i−i0000000000000000000000000000
χ7044-4-4-2-2-44-2-22222010-1-11004i−4i-2-21122-1-100-33003-30000−3i3i3i−3i−2i2i−2i2iii−i−i0000000000000000000000000000
χ7144-4-4-2-2-44-2-22222010-1-1100−4i4i-2-21122-1-1003-300-330000−3i3i3i−3i2i−2i2i−2i−i−iii0000000000000000000000000000
χ7244-4-4-2-2-44-2-22222010-1-1100−4i4i-2-21122-1-100-33003-300003i−3i−3i3i2i−2i2i−2i−i−iii0000000000000000000000000000
χ734-44-44400-4-44-44-40404-4-4000000000000000000000000000000000000004-4000000000000000000000000
χ744-44-44400-4-44-44-40404-4-400000000000000000000000000000000000000-44000000000000000000000000
χ754-4-444400-4-4-44-44040-44-40000000000000000000000000000000000004-400000000000000000000000000
χ764-4-444400-4-4-44-44040-44-4000000000000000000000000000000000000-4400000000000000000000000000
χ778-88-88-400-848-8-440-40-4440000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48004-8-448-80-40-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-44-440202-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-44-440202-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000
χ818-8-888-400-84-884-40-404-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-84-4-880-404-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-4020-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000
χ848-8-88-4-400444-44-4020-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000

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