Finite Group Databasebeta

← Group #11872330

Character table — Group #11872330

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666344666121212122812121212121224242424242424242224444488881212121266661212444424666121212242424244461248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-11111-1-1-111-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1111111-1-1-1-11-1-1-1-1111-1-111-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1111-1-1-1-1-111-1-11-111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-1-111111-1-1-1-1-1111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11-111-11-1-111-1-1111-1-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-11-111-1-11111-11-11
χ13111111111111111-1-11111111-11-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-11111-111-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11-11111-1-1111-11-1
χ17222222-2-2222222200222-2-2-2-2000000-2-200000000002-22-200000022-2-2000000-2-22200002-2000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2-22000000-2-2-2-200000022-2-2000022000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-222-2000000222200000022-2-20000-2-2000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-22-22000000-2-222000000-2-2220000-22000000000000
χ2122222-122-122-1-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-122220000002200-1-12-1-1-1-1-1000002-1-1-1000-1-100000-100
χ2222222-122-122-1-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-200112-1-1-1-1-100000-21110001100000100
χ2322222-122-122-1-12-122-1-1-12-1-12-2-222-1-1-1-111-2-211112222000000-2-200-1-1-2111-1-100000-2-1-1-10001100000100
χ2422222-122-122-1-12-122-1-1-12-1-12-2-222-1-1-1-111-2-21111-2-2-2-2000000220011-2111-1-1000002111000-1-100000-100
χ2522222-122-122-1-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111122-2-20000002200112-1-1-11100000-2-1-11000-1-100000100
χ2622222-122-122-1-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-21111-2-222000000-2-200-1-12-1-1-11100000211-10001100000-100
χ2722222-122-122-1-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-122-2-2000000-2-20011-211111000002-1-110001100000-100
χ2822222-122-122-1-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-1-2-2220000002200-1-1-21111100000-211-1000-1-100000100
χ292222-12222-1-122-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-1000022222200-1-100-12-1-1-1-1000020000-1-1-100-1-100-1000
χ302222-12222-1-122-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-10000-2-2-2-2-2-2001100-12-1-1-1-10000-200001110011001000
χ312222-12222-1-122-1-122-1-1-1-122-1-2-2-1-122-1-1-2-211111100002222-2-200-1-1001-211-1-10000-20000-1-1-10011001000
χ322222-12222-1-122-1-122-1-1-1-122-1-2-2-1-122-1-1-2-21111110000-2-2-2-2220011001-211-1-100002000011100-1-100-1000
χ332222-12222-1-122-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111000022-2-2-2-200-1-100-12-1-111000020000-111001100-1000
χ342222-12222-1-122-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-21111110000-2-22222001100-12-1-1110000-200001-1-100-1-1001000
χ352222-12222-1-122-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1000022-2-22200-1-1001-211110000-20000-11100-1-1001000
χ362222-12222-1-122-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-10000-2-222-2-20011001-211110000200001-1-1001100-1000
χ3722-2-2222-2-22-22-2-222-2-2-22-22-22002-22-2-2200000000000000000000000000002-22i−2i2i−2i0000000000002i−2i0000
χ3822-2-2222-2-22-22-2-222-2-2-22-22-22002-22-2-2200000000000000000000000000002-2−2i2i−2i2i000000000000−2i2i0000
χ3922-2-2222-2-22-22-2-22-22-2-22-22-2200-22-22-220000000000000000000000000000-222i−2i2i−2i000000000000−2i2i0000
χ4022-2-2222-2-22-22-2-22-22-2-22-22-2200-22-22-220000000000000000000000000000-22−2i2i−2i2i0000000000002i−2i0000
χ4122-2-222-22-22-22-2-2200-2-222-22-20000002-2000000002-200002i−2i000000000000002i−2i−2i2i002-2002i−2i0000000000
χ4222-2-222-22-22-22-2-2200-2-222-22-20000002-2000000002-20000−2i2i00000000000000−2i2i2i−2i002-200−2i2i0000000000
χ4322-2-222-22-22-22-2-2200-2-222-22-20000002-200000000-2200002i−2i00000000000000−2i2i2i−2i00-22002i−2i0000000000
χ4422-2-222-22-22-22-2-2200-2-222-22-20000002-200000000-220000−2i2i000000000000002i−2i−2i2i00-2200−2i2i0000000000
χ4544444-2-4-4-244-2-24-200-2-2-2-422-40000002200000000004-400000000002200000000000000-20000000000000
χ4644444-2-4-4-244-2-24-200-2-2-2-422-4000000220000000000-440000000000-2-20000000000000020000000000000
χ474444-24-4-44-2-244-2-200-2-2-22-4-42000000220000000000004-4000000-2-2000000000000000002000000000000
χ484444-24-4-44-2-244-2-200-2-2-22-4-4200000022000000000000-440000002200000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-1000000000000000022-1-1110000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44-24-424-4-22-4-24-422-2-4-224004-4-222-20000000000000000000000000000-220000000000000000000000
χ5444-4-44-24-424-4-22-4-2-4422-2-4-22400-442-22-200000000000000000000000000002-20000000000000000000000
χ5544-4-44-2-4424-4-22-4-20022-242-2-4000000-22000000004-400000000000000000000000000-2200000000000000
χ5644-4-44-2-4424-4-22-4-20022-242-2-4000000-2200000000-44000000000000000000000000002-200000000000000
χ5744-4-4-244-4-4-224-42-24-422-224-4-200-224-42-20000000000000000000000000000-220000000000000000000000
χ5844-4-4-244-4-4-224-42-2-4422-224-4-2002-2-442-200000000000000000000000000002-20000000000000000000000
χ5944-4-4-24-44-4-224-42-20022-2-2-442000000-22000000000000004i−4i000000000000000000000000−2i2i0000000000
χ6044-4-4-24-44-4-224-42-20022-2-2-442000000-2200000000000000−4i4i0000000000000000000000002i−2i0000000000
χ6144-4-4-2-24-42-22-22214-4-1-112-22-200-22-22-11000033-3-30000000000000000003-31-10000000000000000000000
χ6244-4-4-2-24-42-22-22214-4-1-112-22-200-22-22-110000-3-333000000000000000000-331-10000000000000000000000
χ6344-4-4-2-24-42-22-2221-44-1-112-22-2002-22-2-11000033-3-3000000000000000000-33-110000000000000000000000
χ6444-4-4-2-24-42-22-2221-44-1-112-22-2002-22-2-110000-3-3330000000000000000003-3-110000000000000000000000
χ654-44-44400-4-44-44-44004-4-40000000000000000000000000000−2i22i200000000000000000000000000−2i22i2000000
χ664-44-44400-4-44-44-44004-4-400000000000000000000000000002i2−2i2000000000000000000000000002i2−2i2000000
χ674-44-4-2400-42-2-442-200-222000000000000006−66−66−600000000−2i22i200−2i32i30000000000000000000000i2−i2000000
χ684-44-4-2400-42-2-442-200-222000000000000006−66−66−6000000002i2−2i2002i3−2i30000000000000000000000−i2i2000000
χ694-44-4-2400-42-2-442-200-22200000000000000−66−66−6600000000−2i22i2002i3−2i30000000000000000000000i2−i2000000
χ704-44-4-2400-42-2-442-200-22200000000000000−66−66−66000000002i2−2i200−2i32i30000000000000000000000−i2i2000000
χ714-4-4444004-4-4-4-44400-44-400000000000000000000000000000022−22000000000000000000000022−2200000000
χ724-4-4444004-4-4-4-44400-44-4000000000000000000000000000000−22220000000000000000000000−222200000000
χ734-4-444-200-2-4-4224-2002-220000000000006−6006−6−66000000000022−220023−23000000000000000000−2200000000
χ744-4-444-200-2-4-4224-2002-220000000000006−6006−6−660000000000−222200−23230000000000000000002−200000000
χ754-4-444-200-2-4-4224-2002-22000000000000−6600−666−6000000000022−2200−2323000000000000000000−2200000000
χ764-4-444-200-2-4-4224-2002-22000000000000−6600−666−60000000000−22220023−230000000000000000002−200000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-884-44-444200-2-22-44-440000002-20000000000000000000000000000000000000000000000000000
χ798-88-88-4004-884-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-44-442002-2-20000000000000026−26−66−6600000000000000000000000000000000000000000000
χ818-88-8-4-40044-44-442002-2-200000000000000−26266−66−600000000000000000000000000000000000000000000
χ828-8-88-4800844-8-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-44444-4200-22-200000000000026−2600−666−600000000000000000000000000000000000000000000
χ848-8-88-4-400-44444-4200-22-2000000000000−2626006−6−6600000000000000000000000000000000000000000000

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