Finite Group Databasebeta

← Group #11872777

Character table — Group #11872777

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666344666121212122812121212121224242424242424242224444488881212121266661212444424666121212242424242261248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-1-11-1-1
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
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11-1111-1-111-1-1-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11-11-1-1-111-1-111-1-11-111
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
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-11111-11-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-111-1111111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111111-1-11-1-1-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11-1-1-1-111111-1-1111-1-11
χ13111111111111111-1-11111111-11-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1111-11-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-11-1-11-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-111-1
χ17222222-2-2222222200222-2-2-2-2000000-2-200000000002-22-2000000-2-222000000-2-22200200-2000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2-22000000-2-2-2-200000022-2-2002002000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-222-2000000222200000022-2-200-200-2000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-22-2200000022-2-2000000-2-22200-2002000000000000
χ2122222-122-1-12-122-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-122002200220000-1-12-1-1-1-1-10000200-1-1-10000-1-100-1000
χ2222222-122-1-12-122-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-1-2-200-2-200-2-20000112-1-1-1-1-10000-200111000011001000
χ2322222-122-1-12-122-122-1-1-1-122-1-2-2-1-122-1-1-2-211111122002200-2-20000-1-1-2111-1-10000-200-1-1-1000011001000
χ2422222-122-1-12-122-122-1-1-1-122-1-2-2-1-122-1-1-2-2111111-2-200-2-20022000011-2111-1-100002001110000-1-100-1000
χ2522222-122-1-12-122-1-2-2-1-1-1-122-12-211-2-2-1-1-2-21111112200-2-200220000112-1-1-1110000-200-1-110000-1-1001000
χ2622222-122-1-12-122-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111-2-2002200-2-20000-1-12-1-1-111000020011-100001100-1000
χ2722222-122-1-12-122-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-12200-2-200-2-2000011-2111110000200-1-1100001100-1000
χ2822222-122-1-12-122-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1-2-2002200220000-1-1-2111110000-20011-10000-1-1001000
χ292222-122222-12-1-1-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-1002200220022-1-100-12-1-1-1-1000002-1000-1-1-1-100000-100
χ302222-122222-12-1-1-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-100-2-200-2-200-2-21100-12-1-1-1-100000-21000111100000100
χ312222-122222-12-1-1-122-1-1-12-1-12-2-222-1-1-1-111-2-211110022002200-2-2-1-1001-211-1-100000-2-1000-1-11100000100
χ322222-122222-12-1-1-122-1-1-12-1-12-2-222-1-1-1-111-2-2111100-2-200-2-2002211001-211-1-1000002100011-1-100000-100
χ332222-122222-12-1-1-1-2-2-1-1-12-1-122-2-2-211-1-111-2-21111002200-2-200-2-2-1-100-12-1-111000002-1000111100000-100
χ342222-122222-12-1-1-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111100-2-2002200221100-12-1-11100000-21000-1-1-1-100000100
χ352222-122222-12-1-1-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-1002200-2-20022-1-1001-2111100000-2-100011-1-100000100
χ362222-122222-12-1-1-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-100-2-2002200-2-211001-211110000021000-1-11100000-100
χ3722-2-2222-22-22-2-2-2200-22-2-22-22000000-22000000002-200002i−2i000000000000002i−2i2i−2i0002-202i−2i0000000000
χ3822-2-2222-22-22-2-2-2200-22-2-22-22000000-22000000002-20000−2i2i00000000000000−2i2i−2i2i0002-20−2i2i0000000000
χ3922-2-2222-22-22-2-2-2200-22-2-22-22000000-2200000000-2200002i−2i00000000000000−2i2i−2i2i000-2202i−2i0000000000
χ4022-2-2222-22-22-2-2-2200-22-2-22-22000000-2200000000-220000−2i2i000000000000002i−2i2i−2i000-220−2i2i0000000000
χ4122-2-222-222-22-2-2-222i−2i-22-22-22-2002i−2i2i−2i2-200000000000000000000000000002i−2i2i−2i−2i2i0000000000002-20000
χ4222-2-222-222-22-2-2-222i−2i-22-22-22-2002i−2i2i−2i2-200000000000000000000000000002i−2i−2i2i2i−2i000000000000-220000
χ4322-2-222-222-22-2-2-22−2i2i-22-22-22-200−2i2i−2i2i2-20000000000000000000000000000−2i2i2i−2i−2i2i000000000000-220000
χ4422-2-222-222-22-2-2-22−2i2i-22-22-22-200−2i2i−2i2i2-20000000000000000000000000000−2i2i−2i2i2i−2i0000000000002-20000
χ4544444-2-4-4-2-24-244-200-2-2-22-4-42000000220000000000004-400000000-2-20000000000000002000000000000
χ4644444-2-4-4-2-24-244-200-2-2-22-4-4200000022000000000000-440000000022000000000000000-2000000000000
χ474444-24-4-444-24-2-2-200-2-2-2-422-40000002200000000004-4000000002200000000000000-2000000000000000
χ484444-24-4-444-24-2-2-200-2-2-2-422-4000000220000000000-4400000000-2-2000000000000002000000000000000
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
χ5344-4-44-24-4-2242-4-4-2002-2224-4-20000002-2000000004-4000000000000000000000000000-220000000000000
χ5444-4-44-24-4-2242-4-4-2002-2224-4-20000002-200000000-440000000000000000000000000002-20000000000000
χ5544-4-44-2-44-2242-4-4-24i−4i2-22-2-44200−2i2i4i−4i-220000000000000000000000000000−2i2i0000000000000000000000
χ5644-4-44-2-44-2242-4-4-2−4i4i2-22-2-442002i−2i−4i4i-2200000000000000000000000000002i−2i0000000000000000000000
χ5744-4-4-244-44-4-2-422-2002-22-4-2240000002-2000000000000004i−4i000000000000000000000000−2i2i0000000000
χ5844-4-4-244-44-4-2-422-2002-22-4-2240000002-200000000000000−4i4i0000000000000000000000002i−2i0000000000
χ5944-4-4-24-444-4-2-422-24i−4i2-2242-2-4004i−4i−2i2i-220000000000000000000000000000−2i2i0000000000000000000000
χ6044-4-4-24-444-4-2-422-2−4i4i2-2242-2-400−4i4i2i−2i-2200000000000000000000000000002i−2i0000000000000000000000
χ6144-4-4-2-2-44-22-222214i−4i-11-1-22-2200−2i2i−2i2i1-100003i3i−3i−3i0000000000000000003-3i−i0000000000000000000000
χ6244-4-4-2-2-44-22-222214i−4i-11-1-22-2200−2i2i−2i2i1-10000−3i−3i3i3i000000000000000000-33i−i0000000000000000000000
χ6344-4-4-2-2-44-22-22221−4i4i-11-1-22-22002i−2i2i−2i1-100003i3i−3i−3i000000000000000000-33−ii0000000000000000000000
χ6444-4-4-2-2-44-22-22221−4i4i-11-1-22-22002i−2i2i−2i1-10000−3i−3i3i3i0000000000000000003-3−ii0000000000000000000000
χ654-44-44400-4-4-44-44400-4-44000000000000000000000000000022−220000000000000000000000000022−22000000
χ664-44-44400-4-4-44-44400-4-440000000000000000000000000000−222200000000000000000000000000−2222000000
χ674-44-44-20022-4-2-44-20022-200000000000000i6−i6i6−i6i6−i60000000022−220000−2i32i300000000000000000000−22000000
χ684-44-44-20022-4-2-44-20022-200000000000000i6−i6i6−i6i6−i600000000−222200002i3−2i3000000000000000000002−2000000
χ694-44-44-20022-4-2-44-20022-200000000000000−i6i6−i6i6−i6i60000000022−2200002i3−2i300000000000000000000−22000000
χ704-44-44-20022-4-2-44-20022-200000000000000−i6i6−i6i6−i6i600000000−22220000−2i32i3000000000000000000002−2000000
χ714-4-444400-44-4-44-44004-4-400000000000000000000000000000022−22000000000000000000000022−2200000000
χ724-4-444400-44-4-44-44004-4-4000000000000000000000000000000−22220000000000000000000000−222200000000
χ734-4-44-2400-442-4-22-200-2220000000000006−6006−6−66000000000022−2223−2300000000000000000000−2200000000
χ744-4-44-2400-442-4-22-200-2220000000000006−6006−6−660000000000−2222−2323000000000000000000002−200000000
χ754-4-44-2400-442-4-22-200-222000000000000−6600−666−6000000000022−22−232300000000000000000000−2200000000
χ764-4-44-2400-442-4-22-200-222000000000000−6600−666−60000000000−222223−23000000000000000000002−200000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-8-44-4444200-22-24-44-4000000-220000000000000000000000000000000000000000000000000000
χ798-88-8-4800-8-8484-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400444-44-4200-2-22000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000000
χ818-88-8-4-400444-44-4200-2-2200000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000000
χ828-8-888-4004-4-848-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-442002-2-200000000000026−2600−666−600000000000000000000000000000000000000000000
χ848-8-88-4-4004-444-442002-2-2000000000000−2626006−6−6600000000000000000000000000000000000000000000

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