Finite Group Databasebeta

← Group #11884313

Character table — Group #11884313

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order122233446666663666881212121224242424444412121212121224242424242422222446688121212121212242424241212121212122466668242424612448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ51111111111111111111111111111-1-111111111111111-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1111-1-11111-1-1111111-1-1-1-11-111-1-11-111-1-1-1-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-11-111-1-11-1-1-111111-1-11-1-111
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-1-111-1111-1-1111-1-1-111-11
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-11-1-1111111-1-1111111-1-1-1-1-11-1-111-11-1-111-1-1-111-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-111-1-1111111-1-111111-111-1-1-1111-1-1-1-1-1-1-1-11-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-111-1-1-11-1-11111111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1111-111-1-1111111-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-11-1-1111-1-1-111-1-1-1-1-11-11-11
χ17222222-2-2222222222200-2-2-2-2000022000000-2-2000000-200002-2-2-20022-2-22200000000000000000002-200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-2000000-20000-22-2-200-2-222220000000000000000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000200002-2220022-2-2-2-20000000000000000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-200000020000-222200-2-222-2-200000000000000000002-200000
χ2122222-122-122-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-102222220000-1-1-1-100000022-1-1-1-100-1-1-1-12-1-10000000
χ2222222-122-122-1-12-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2-2-20000111100000022-1-1-1-1001111-2110000000
χ2322222-122-122-1-12-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-102222-2-200001111000000-2-2111100-1-1-1-1-2110000000
χ2422222-122-122-1-12-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-10-2-2-2-2220000-1-1-1-1000000-2-211110011112-1-10000000
χ2522222-122-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-1111111022-2-2220000-1-1-1-10000002-2-1-11100-1-111-2110000000
χ2622222-122-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-11111110-2-222-2-2000011110000002-2-1-1110011-1-12-1-10000000
χ2722222-122-122-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-1111111022-2-2-2-200001111000000-2211-1-100-1-1112-1-10000000
χ2822222-122-122-1-12-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-11111110-2-222220000-1-1-1-1000000-2211-1-10011-1-1-2110000000
χ292222-12222-1-122-1-1-1-1-122-122-1-1-1-1-122222222-1-122-1-1-1-12000000-1-1220000-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ302222-12222-1-122-1-1-1-1-122-122-1-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-12000000-1-1220000-1-1-1-1-1-1111111-2-200000000011000
χ312222-12222-1-122-1-1-1-1-122-122-1-1-1-1-1-2-2222222-1-122-1-1-1-1-200000011-2-20000111111-1-1-1-1-1-1-2-200000000011000
χ322222-12222-1-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-200000011-2-2000011111111111122000000000-1-1000
χ332222-12222-1-122-1-1-1-1-1-2-2-122-11111222-222-2-2-1-1-2-211112000000-1-1-2-20000-1-11111-11-1-1112-2000000000-11000
χ342222-12222-1-122-1-1-1-1-1-2-2-122-1111122-22-2-222-1-1-2-211112000000-1-1-2-20000-1-111111-111-1-1-220000000001-1000
χ352222-12222-1-122-1-1-1-1-1-2-2-122-11111-2-22-222-2-2-1-1-2-21111-20000001122000011-1-1-1-1-11-1-111-220000000001-1000
χ362222-12222-1-122-1-1-1-1-1-2-2-122-11111-2-2-22-2-222-1-1-2-21111-20000001122000011-1-1-1-11-111-1-12-2000000000-11000
χ372-2-2222-222-2-2-2-2222-2-22-2-22-2222-2-200000000-222-222-2-202-22-20000000000000000000000002-22-20000000000
χ382-2-2222-222-2-2-2-2222-2-22-2-22-2222-2-200000000-222-222-2-20-22-22000000000000000000000000-22-220000000000
χ392-2-2222-222-2-2-2-2222-2-2-22-22-22-2-22200000000-22-22-2-22202-2-220000000000000000000000002-2-220000000000
χ402-2-2222-222-2-2-2-2222-2-2-22-22-22-2-22200000000-22-22-2-2220-222-2000000000000000000000000-222-20000000000
χ412-2-222-1-22-1-2-2112-1-1112-2-2-11222-2-200003−33−31-1-11-1-11102-22-20000003−33−3000000003−33−300-11-1103−30000000
χ422-2-222-1-22-1-2-2112-1-1112-2-2-11222-2-200003−33−31-1-11-1-1110-22-22000000−33−33000000003−33−3001-11-10−330000000
χ432-2-222-1-22-1-2-2112-1-1112-2-2-11222-2-20000−33−331-1-11-1-11102-22-2000000−33−3300000000−33−3300-11-110−330000000
χ442-2-222-1-22-1-2-2112-1-1112-2-2-11222-2-20000−33−331-1-11-1-1110-22-220000003−33−300000000−33−33001-11-103−30000000
χ452-2-222-1-22-1-2-2112-1-111-22-2-112-2-22200003−3−331-11-111-1-102-2-220000003−33−3000000003−3−3300-111-10−330000000
χ462-2-222-1-22-1-2-2112-1-111-22-2-112-2-22200003−3−331-11-111-1-10-222-2000000−33−33000000003−3−33001-1-1103−30000000
χ472-2-222-1-22-1-2-2112-1-111-22-2-112-2-2220000−333−31-11-111-1-102-2-22000000−33−3300000000−333−300-111-103−30000000
χ482-2-222-1-22-1-2-2112-1-111-22-2-112-2-2220000−333−31-11-111-1-10-222-20000003−33−300000000−333−3001-1-110−330000000
χ4944444-2-4-4-244-2-24-2-2-2-200-422-400000000000022000000000004-40000-2-2220000000000000000000000000000
χ5044444-2-4-4-244-2-24-2-2-2-200-422-40000000000002200000000000-44000022-2-20000000000000000000000000000
χ514444-24-4-44-2-244-2-2-2-2-2002-4-4200004400000022000000-400000022000000-2-200000000000000000000000000
χ524444-24-4-44-2-244-2-2-2-2-2002-4-420000-4-4000000220000004000000-2-20000002200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-2-211110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-2111100000000000000000000022-1-1-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2211-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-2-1-1110000000000000000
χ5744-4-44400-44-44-4-44-44-400000000000000000000000000000000000−2i22i2000000−2i2−2i22i22i20000000000000000000000
χ5844-4-44400-44-44-4-44-44-4000000000000000000000000000000000002i2−2i20000002i22i2−2i2−2i20000000000000000000000
χ5944-4-4-2400-4-224-42-22-220000006−66−60000000000006−66−60000000−2i32i3−2i22i2000000i2i2−i2−i20000000000000000000000
χ6044-4-4-2400-4-224-42-22-220000006−66−60000000000006−66−600000002i3−2i32i2−2i2000000−i2−i2i2i20000000000000000000000
χ6144-4-4-2400-4-224-42-22-22000000−66−66000000000000−66−660000000−2i32i32i2−2i2000000−i2−i2i2i20000000000000000000000
χ6244-4-4-2400-4-224-42-22-22000000−66−66000000000000−66−6600000002i3−2i3−2i22i2000000i2i2−i2−i20000000000000000000000
χ634-44-44400-4-44-44-44-4-4400000000004i−4i000000000000000000000000000004i−4i00000000000000000000000000
χ644-44-44400-4-44-44-44-4-440000000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000000
χ654-44-4-2400-42-2-442-222-20000006−6−664i−4i00000000006−6−66000000000000000−2i2ii6−i6i6−i60000000000000000000000
χ664-44-4-2400-42-2-442-222-20000006−6−66−4i4i00000000006−6−660000000000000002i−2i−i6i6−i6i60000000000000000000000
χ674-44-4-2400-42-2-442-222-2000000−666−64i−4i0000000000−666−6000000000000000−2i2i−i6i6−i6i60000000000000000000000
χ684-44-4-2400-42-2-442-222-2000000−666−6−4i4i0000000000−666−60000000000000002i−2ii6−i6i6−i60000000000000000000000
χ694-4-44444-44-4-4-4-4444-4-4004-44-40000000000004-40000000000000000000000000000000000000000000000000
χ704-4-444-24-4-2-4-4224-2-2220042-2-4000000000000-220000000000000000023−23−23230000000000000000000000000000
χ714-4-444-24-4-2-4-4224-2-2220042-2-4000000000000-2200000000000000000−232323−230000000000000000000000000000
χ724-4-44-244-4422-4-4-2-2-22200-2-442000000000000-220000000000000000000000023−23−23230000000000000000000000
χ734-4-44-244-4422-4-4-2-2-22200-2-442000000000000-2200000000000000000000000−232323−230000000000000000000000
χ744-4-44-24-44422-4-4-2-2-2224-424-4-2-2-222000000002-24-4-2-2220000000000000000000000000000000000000000000
χ754-4-44-24-44422-4-4-2-2-222-4424-4-222-2-2000000002-2-4422-2-20000000000000000000000000000000000000000000
χ764-4-44-2-2-44-22222-211-1-14-42-22-2-2-222000023−2323−23-11-2211-1-100000000000000000000000−33−330000000000000000
χ774-4-44-2-2-44-22222-211-1-14-42-22-2-2-2220000−2323−2323-11-2211-1-1000000000000000000000003−33−30000000000000000
χ784-4-44-2-2-44-22222-211-1-1-442-22-222-2-2000023−23−2323-112-2-1-11100000000000000000000000−333−30000000000000000
χ794-4-44-2-2-44-22222-211-1-1-442-22-222-2-20000−232323−23-112-2-1-111000000000000000000000003−3−330000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-88-40048-8-44-8-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-4442-22-200000026−2626−26000000000000−66−660000000000000000000000000000000000000000000
χ8388-8-8-4-4004-44-4442-22-2000000−2626−26260000000000006−66−60000000000000000000000000000000000000000000
χ848-88-88-4004-884-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-442-2-2200000026−26−2626000000000000−666−60000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-442-2-22000000−262626−260000000000006−6−660000000000000000000000000000000000000000000
χ878-8-88-4-48-8-44444-422-2-200-44-440000000000002-20000000000000000000000000000000000000000000000000

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