Finite Group Databasebeta

← Group #11884184

Character table — Group #11884184

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424242244121212122424242424244444466881212121224242424121212121212122448121212242422246121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-11111-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-11
χ4111111111111111111111111111111-1-1-1-111111111-1-11111111-1-1111111-1-1-1-1-1-1-11-1-1-1-111-1-1-111-11-1-11-1
χ51111111111111111111111111111-1-111111111111111-111-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1111-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-11111-11
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11111111-1-11111-1-1-1-11-1-111-1-1-1-11-1111-1-11-1-11-1-111-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1-111-1-11-111-1-1-111-111-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-111-1-11111-1-11-1-1-1-1111111-1-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-111-1-111-11-11-11111-1-1-1-1-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-111-111-1-11111-1-111111-1-111-1-1-11-1-1111-1-1-111-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-11-1-1-1111-1-1111-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-11111-111-1-1111-11-11-1-1-1-1-1-1-1-11-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-111-111111111-1-11-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-20000002-2-200220022-2-2000000000000000-20000200-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-22-2002200-2-2-2-200000000000000020000-200200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002-2200-2-2002222000000000000000-20000-200200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000-22200-2-200-2-22200000000000000020000200-200000
χ2122222-1222-1-12-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-1220220000-1-10000002-12-1-1-1-12002-1-1-1-1-10000-10000
χ2222222-1222-1-12-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-1-1-1-2-20-2-20000110000002-12-1-1-1-1-200-211111000010000
χ2322222-1222-1-12-12-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-1220-2-20000-1-1000000-21-21111-2002-111-1-1000010000
χ2422222-1222-1-12-12-1-1-1-122-12-12222200-2-211-1-1-1-1-1-1-1-1-2-2022000011000000-21-21111200-21-1-1110000-10000
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-1-1-1111111220220000-1-100000021-2-1-111-200-2-1-1-111000010000
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-1-1-1111111-2-20-2-200001100000021-2-1-1112002111-1-10000-10000
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2211-1-1111111220-2-20000-1-1000000-2-1211-1-1200-2-111110000-10000
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12-2-2-2-200-2211-1-1111111-2-2022000011000000-2-1211-1-1-20021-1-1-1-1000010000
χ292222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1222222-1-122-1-1-1-100200-1-12200-1-1-1-1-1-1-12-1-1-1-1-102200000000000-1-100
χ302222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-122-2-2-2-2-1-122-1-1-1-100200-1-12200-1-1-1-1-1-11-2111110-2-2000000000001100
χ312222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-22222-1-122-1-1-1-100-20011-2-200111111-12-1-1-1-1-10-2-2000000000001100
χ322222-1222-122-12-1-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-100-20011-2-2001111111-21111102200000000000-1-100
χ332222-1222-122-12-1-1-1-1-1-2-22-12-11111222-222-1-1-2-2111100200-1-1-2-200-1-11111-1-21-1-1110-22000000000001-100
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1111122-22-2-2-1-1-2-2111100200-1-1-2-200-1-1111112-111-1-102-200000000000-1100
χ352222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-22-222-1-1-2-2111100-20011220011-1-1-1-1-1-21-1-11102-200000000000-1100
χ362222-1222-122-12-1-1-1-1-1-2-22-12-11111-2-2-22-2-2-1-1-2-2111100-20011220011-1-1-1-112-111-1-10-22000000000001-100
χ372-2-22222-2-2-2-2-2222-2-2200-2-2220000000000-220000000002-2002-2000022-2-20000000000002-20002-2000000
χ382-2-22222-2-2-2-2-2222-2-2200-2-2220000000000-220000000002-200-220000-2-2220000000000002-2000-22000000
χ392-2-22222-2-2-2-2-2222-2-2200-2-2220000000000-22000000000-22002-2000022-2-2000000000000-22000-22000000
χ402-2-22222-2-2-2-2-2222-2-2200-2-2220000000000-22000000000-2200-220000-2-222000000000000-220002-2000000
χ4144444-2-4-44-2-24-24-2-2-2-2002-42-40000000000220000004-40000000-2-20000000000000000020000000000000
χ4244444-2-4-44-2-24-24-2-2-2-2002-42-4000000000022000000-4400000002200000000000000000-20000000000000
χ434444-24-4-4-244-24-2-2-2-2-200-42-4200004400002200000000-400-2-200002200000000000000000000000000000
χ444444-24-4-4-244-24-2-2-2-2-200-42-420000-4-400002200000000400220000-2-200000000000000000000000000000
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
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-22211-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-2-2-1-111000000000000000000
χ4944-4-4440044-4-4-4-444-4-400000000004-4000000000000000004-400000000000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000000000-4400000000000000000-4400000000000000000000000000000000000
χ5144-4-4-2400-24-42-42-2-222000000i6i6−i6−i64-400000000i6i6−i6−i600000-22000000i6−i6i6−i60000000000000000000000000
χ5244-4-4-2400-24-42-42-2-222000000i6i6−i6−i6-4400000000i6i6−i6−i6000002-2000000−i6i6−i6i60000000000000000000000000
χ5344-4-4-2400-24-42-42-2-222000000−i6−i6i6i64-400000000−i6−i6i6i600000-22000000−i6i6−i6i60000000000000000000000000
χ5444-4-4-2400-24-42-42-2-222000000−i6−i6i6i6-4400000000−i6−i6i6i6000002-2000000i6−i6i6−i60000000000000000000000000
χ554-44-44400-4-444-4-44-44-4−2i22i20000−2i22i2−2i22i200000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000
χ564-44-44400-4-444-4-44-44-42i2−2i200002i2−2i22i2−2i2000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000
χ574-44-44-200-42-242-4-22-22−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i200000000023−2300000000000000000000i6−i6000000000
χ584-44-44-200-42-242-4-22-22−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2000000000−232300000000000000000000−i6i6000000000
χ594-44-44-200-42-242-4-22-222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i200000000023−2300000000000000000000−i6i6000000000
χ604-44-44-200-42-242-4-22-222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2000000000−232300000000000000000000i6−i6000000000
χ614-44-4-24002-44-2-42-22-22−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i20000000000023−23i6−i6−i6i60000000000000000000000000
χ624-44-4-24002-44-2-42-22-22−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i200000000000−2323−i6i6i6−i60000000000000000000000000
χ634-44-4-24002-44-2-42-22-222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i20000000000023−23−i6i6i6−i60000000000000000000000000
χ644-44-4-24002-44-2-42-22-222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i200000000000−2323i6−i6−i6i60000000000000000000000000
χ654-4-4444-44-4-4-4-4444-4-440044-4-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-422-4-24-222-2002-4-2400000000002-20000000004-4000000000000000000000000-2200000000000
χ674-4-444-24-4-422-4-24-222-2002-4-2400000000002-2000000000-440000000000000000000000002-200000000000
χ684-4-444-2-44-422-4-24-222-200-242-40000000023−23-220000000000000000000000000023−2300000000000000000000
χ694-4-444-2-44-422-4-24-222-200-242-400000000−2323-2200000000000000000000000000−232300000000000000000000
χ704-4-44-244-42-4-424-2-222-200-424-200000000002-200000000000004-40000-2-2220000000000000000000000000
χ714-4-44-244-42-4-424-2-222-200-424-200000000002-20000000000000-44000022-2-20000000000000000000000000
χ724-4-44-24-442-4-424-2-222-2004-2-4223−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ734-4-44-24-442-4-424-2-222-2004-2-42−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ744-4-44-2-2-442222-2-21-1-1100-2-22223−23−2323000023−231-100−333−300000000000000000000−333-3000000000000000000
χ754-4-44-2-2-442222-2-21-1-1100-2-22223−23−23230000−23231-100−333−3000000000000000000003−3-33000000000000000000
χ764-4-44-2-2-442222-2-21-1-1100-2-222−232323−23000023−231-1003−3−3300000000000000000000−33-33000000000000000000
χ774-4-44-2-2-442222-2-21-1-1100-2-222−232323−230000−23231-1003−3−33000000000000000000003−33-3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-88-4008-44-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-4444422-2-20000002i62i6−2i6−2i60000000000−i6−i6i6i6000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-4444422-2-2000000−2i6−2i62i62i60000000000i6i6−i6−i6000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-4442-22-2−4i24i200002i2−2i22i2−2i2000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ838-88-8-4-40044-4-4442-22-24i2−4i20000−2i22i2−2i22i200000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000
χ848-8-88-4-48-84444-4-42-2-220044-4-40000000000-22000000000000000000000000000000000000000000000000

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