Finite Group Databasebeta

← Group #11896090

Character table — Group #11896090

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order122233446666663666881212121224242424444412121212242424242424444448812121212121224242424121212121212122448121212242444446121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-11-11111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1-1-11111111111-11-11111-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11-1-11-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ51111111111111111111111111111-1-1111111111111111-11-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1
χ9111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-111-11-1-1-111-1-111-1-1-1-111-1-1-111-11-11-11111-1-1-1-1-11-111
χ10111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-1-11111-1-11-1-1-1-1111111-1-1-1
χ11111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1111-1-1-1-11-1111-1-1-1-111-1-111-1
χ12111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1111-1-11-111-1-1-11111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-1-111-1-111-111111111-1-11-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11-1111-1-111-1-1111111-1-1-1111-11-11-1-1-1-1-1-1-1-11-1111
χ15111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1111-1-111-1-11111-1-1111-1-1-11-1-1111-1-111-1-1-11-1-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-111-11-1-1-111-1-11111-11-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000002-2-2002222-2-2000000000000000-20000002-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-200000000-2-220022-2-2-2-20000000000000002000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000000022-200-2-22222000000000000000-2000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-200000000-22200-2-2-2-22200000000000000020000002-200000
χ2122222-1222-1-12-12-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-1222020000-1-10000002-12-1-1-1-12002-1-1-1-1-10000-10000
χ2222222-1222-1-12-12-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-1-2-2-20-20000110000002-12-1-1-1-1-200-211111000010000
χ2322222-1222-1-12-12-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-122-20-2000011000000-21-21111200-21-1-1110000-10000
χ2422222-1222-1-12-12-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-1-2-22020000-1-1000000-21-21111-2002-111-1-1000010000
χ2522222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-2002-211-1-111111122-20-20000110000002-1-211-1-1-20021-1-1-1-1000010000
χ2622222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-2002-211-1-1111111-2-22020000-1-10000002-1-211-1-1200-2-111110000-10000
χ2722222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-200-22-1-1-1-1111111222020000-1-1000000-212-1-111-200-2-1-1-111000010000
χ2822222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-200-22-1-1-1-1111111-2-2-20-2000011000000-212-1-1112002111-1-10000-10000
χ292222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-1222222-1-122-1-1-1-10002022-1-100-1-1-1-1-1-1-12-1-1-1-1-102200000000000-1-100
χ302222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-10002022-1-100-1-1-1-1-1-11-2111110-2-2000000000001100
χ312222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-1-2-22222-1-122-1-1-1-1000-20-2-21100111111-12-1-1-1-1-10-2-2000000000001100
χ322222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1000-20-2-211001111111-21111102200000000000-1-100
χ332222-1222-122-12-1-1-1-1-1-2-22-1-121111222-2-2-2-1-1-2-2111100020-2-2-1-100-1-11111-12111-1-102-200000000000-1100
χ342222-1222-122-12-1-1-1-1-1-2-22-1-12111122-2222-1-1-2-2111100020-2-2-1-100-1-111111-2-1-1-1110-22000000000001-100
χ352222-1222-122-12-1-1-1-1-1-2-22-1-121111-2-22-2-2-2-1-1-2-21111000-2022110011-1-1-1-1-12111-1-10-22000000000001-100
χ362222-1222-122-12-1-1-1-1-1-2-22-1-121111-2-2-2222-1-1-2-21111000-2022110011-1-1-1-11-2-1-1-11102-200000000000-1100
χ3722-2-222-22-2-2-222-22-2-2200-22-220000000000-220000002-20002i−2i0000002i2i−2i−2i0000000000002-2002i−2i0000000
χ3822-2-222-22-2-2-222-22-2-2200-22-220000000000-220000002-2000−2i2i000000−2i−2i2i2i0000000000002-200−2i2i0000000
χ3922-2-222-22-2-2-222-22-2-2200-22-220000000000-22000000-220002i−2i0000002i2i−2i−2i000000000000-2200−2i2i0000000
χ4022-2-222-22-2-2-222-22-2-2200-22-220000000000-22000000-22000−2i2i000000−2i−2i2i2i000000000000-22002i−2i0000000
χ4144444-2-4-44-2-24-24-2-2-2-2002-4-420000000000220000000040-40000-2-20000000000000000020000000000000
χ4244444-2-4-44-2-24-24-2-2-2-2002-4-4200000000002200000000-40400002200000000000000000-20000000000000
χ434444-24-4-4-244-24-2-2-2-2-200-422-4000044000022000000000-4000-2-2002200000000000000000000000000000
χ444444-24-4-4-244-24-2-2-2-2-200-422-40000-4-400002200000000040002200-2-200000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-2-21111000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-2111100000000000000000222-1-1-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4221122-1-1-1-100000000000000000-2-22-1-111000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-21122-1-1-1-10000000000000000022-211-1-1000000000000000000
χ4944-4-4444-4-4-4-444-44-4-44004-44-400000000004-4000000000000000000000000000000000000000000000000
χ5044-4-44-24-4-4224-2-4-222-200-2-4420000000023−23-220000000000000000000000000023−2300000000000000000000
χ5144-4-44-24-4-4224-2-4-222-200-2-44200000000−2323-2200000000000000000000000000−232300000000000000000000
χ5244-4-44-2-44-4224-2-4-222-20024-4-200000000002-20000004-4000000000000000000000000000-2200000000000
χ5344-4-44-2-44-4224-2-4-222-20024-4-200000000002-2000000-440000000000000000000000000002-200000000000
χ5444-4-4-244-42-4-4-242-222-20042-2-42323−23−23000000-22002323−23−23000000000000000000000000000000000000000000
χ5544-4-4-244-42-4-4-242-222-20042-2-4−23−232323000000-2200−23−232323000000000000000000000000000000000000000000
χ5644-4-4-24-442-4-4-242-222-200-4-22400000000002-2000000000004i−4i000000−2i−2i2i2i0000000000000000000000000
χ5744-4-4-24-442-4-4-242-222-200-4-22400000000002-200000000000−4i4i0000002i2i−2i−2i0000000000000000000000000
χ5844-4-4-2-24-4222-2-221-1-1100-22-222323−23−23000023−231-100−3−33300000000000000000000−333-3000000000000000000
χ5944-4-4-2-24-4222-2-221-1-1100-22-222323−23−230000−23231-100−3−333000000000000000000003−3-33000000000000000000
χ6044-4-4-2-24-4222-2-221-1-1100-22-22−23−232323000023−231-10033−3−300000000000000000000−33-33000000000000000000
χ6144-4-4-2-24-4222-2-221-1-1100-22-22−23−2323230000−23231-10033−3−3000000000000000000003−33-3000000000000000000
χ624-44-4440044-4-4-4-444-4-400000000004-400000000000000000004-4000000000000000000000000000000000
χ634-44-4440044-4-4-4-444-4-40000000000-440000000000000000000-44000000000000000000000000000000000
χ644-44-4-2400-24-42-42-2-222000000i6−i6i6−i64-400000000i6−i6i6−i60000000-220000i6−i6i6−i60000000000000000000000000
χ654-44-4-2400-24-42-42-2-222000000i6−i6i6−i6-4400000000i6−i6i6−i600000002-20000−i6i6−i6i60000000000000000000000000
χ664-44-4-2400-24-42-42-2-222000000−i6i6−i6i64-400000000−i6i6−i6i60000000-220000−i6i6−i6i60000000000000000000000000
χ674-44-4-2400-24-42-42-2-222000000−i6i6−i6i6-4400000000−i6i6−i6i600000002-20000i6−i6i6−i60000000000000000000000000
χ684-4-444400-4-44-4-444-44-4−2i22i20000−2i22i22i2−2i200000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ694-4-444400-4-44-4-444-44-42i2−2i200002i2−2i2−2i22i2000000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ704-4-444-200-42-2-424-22-22−2i22i20000−2i22i22i2−2i200000000i2−i2i2−i2−i2i200000000023−2300000000000000000000i6−i6000000000
χ714-4-444-200-42-2-424-22-22−2i22i20000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2000000000−232300000000000000000000−i6i6000000000
χ724-4-444-200-42-2-424-22-222i2−2i200002i2−2i2−2i22i200000000−i2i2−i2i2i2−i200000000023−2300000000000000000000−i6i6000000000
χ734-4-444-200-42-2-424-22-222i2−2i200002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2000000000−232300000000000000000000i6−i6000000000
χ744-4-44-24002-442-4-2-22-22−2i22i20000i2−i2−i2i200000000−2i22i2i2−i2−i2i200000000000−2i32i36−6−660000000000000000000000000
χ754-4-44-24002-442-4-2-22-22−2i22i20000i2−i2−i2i200000000−2i22i2i2−i2−i2i2000000000002i3−2i3−666−60000000000000000000000000
χ764-4-44-24002-442-4-2-22-222i2−2i20000−i2i2i2−i2000000002i2−2i2−i2i2i2−i200000000000−2i32i3−666−60000000000000000000000000
χ774-4-44-24002-442-4-2-22-222i2−2i20000−i2i2i2−i2000000002i2−2i2−i2i2i2−i2000000000002i3−2i36−6−660000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-4-88444-4-442-2-22004-44-40000000000-22000000000000000000000000000000000000000000000000
χ808-88-88-4008-44-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400-4-4444422-2-20000002i6−2i62i6−2i60000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ828-88-8-4-400-4-4444422-2-2000000−2i62i6−2i62i60000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-42-22-2−4i24i200002i2−2i2−2i22i2000000002i2−2i2−i2i2i2−i2000000000000000000000000000000000000000000
χ848-8-88-4-40044-444-42-22-24i2−4i20000−2i22i22i2−2i200000000−2i22i2i2−i2−i2i2000000000000000000000000000000000000000000

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