Finite Group Databasebeta

← Group #11872523

Character table — Group #11872523

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666344666121212124812121212121224242424242424242444444466888812121212121212124444441212121212122424242422121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-111-111-1-111-1-1111111-1-1-1-11-1-1111-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-1111-1-11-1-111-1-111111111-1-1-1-1-111-1-1-111-1-111-1-1-11-1-1
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
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-111-11111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-1-11-1-111-1-111111-1-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-11111-1-111-1-1111111-1-1-1-111111111-1-1-1-11-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-111-111-1-111-1-111-11-11
χ13111111111111111-1-11111111-11-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-111-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-11-1-1111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111111-11-1
χ17222222-2-2222222200222-2-2-2-2000000-2-2000000002-200200-222000022000000-2-22200-2-200000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-2000000002-200-2002220000-2-200000022-2-2002-200000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-200000000-2200200-2-2-200002200000022-2-200-2200000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-200000000-2200-2002-2-20000-2-2000000-2-222002200000000000000
χ2122222-12222-1-1-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-122000220-1-1002200-12-1-1-1-10000200-1-1-100-1-10000-1000
χ2222222-12222-1-1-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-1-2-2000-2-201100-2-200-12-1-1-1-10000-200111001100001000
χ2322222-12222-1-1-12-122-1-1-12-1-12-2-222-1-1-1-111-2-2111122000220-1-100-2-2001-2-1-1110000-200-1-1-1001100001000
χ2422222-12222-1-1-12-122-1-1-12-1-12-2-222-1-1-1-111-2-21111-2-2000-2-20110022001-2-1-111000020011100-1-10000-1000
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111122000-2-20-1-100-2-200-1211-1-10000200-11100110000-1000
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-21111-2-200022011002200-1211-1-10000-2001-1-100-1-100001000
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-122000-2-20-1-10022001-211110000-200-11100-1-100001000
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-1-2-20002201100-2-2001-2111100002001-1-100110000-1000
χ292222-1222-1-1222-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-100222002002200-1-12-1-1-1-1-1000002-1000-1-100-1-1000-100
χ302222-1222-1-1222-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-100-2-2-200-200-2-200112-1-1-1-1-100000-21000110011000100
χ312222-1222-1-1222-1-122-1-1-1-122-1-2-2-1-122-1-1-2-21111110022200200-2-200-1-1-21-1-11100000-2-1000-1-10011000100
χ322222-1222-1-1222-1-122-1-1-1-122-1-2-2-1-122-1-1-2-211111100-2-2-200-200220011-21-1-11100000210001100-1-1000-100
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-21111110022-200-2002200112-111-1-100000-21000-1-100-1-1000100
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-211111100-2-2200200-2-200-1-12-111-1-1000002-1000110011000-100
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-10022-200-200-2-20011-2111110000021000-1-10011000-100
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-100-2-22002002200-1-1-21111100000-2-10001100-1-1000100
χ3722-2-2222-2-2-22-2-22200-2-22-22-22000000-2200000000002-202i−2i0000000000000002i−2i2i−2i00002i−2i2-20000000000
χ3822-2-2222-2-2-22-2-22200-2-22-22-22000000-2200000000002-20−2i2i000000000000000−2i2i−2i2i0000−2i2i2-20000000000
χ3922-2-2222-2-2-22-2-22200-2-22-22-22000000-220000000000-2202i−2i000000000000000−2i2i−2i2i00002i−2i-220000000000
χ4022-2-2222-2-2-22-2-22200-2-22-22-22000000-220000000000-220−2i2i0000000000000002i−2i2i−2i0000−2i2i-220000000000
χ4122-2-222-22-2-22-2-2222i−2i-2-222-22-2002i−2i2i−2i2-2000000000000000000000000002i−2i002i−2i−2i2i0000000000002-20000
χ4222-2-222-22-2-22-2-2222i−2i-2-222-22-2002i−2i2i−2i2-2000000000000000000000000002i−2i00−2i2i2i−2i000000000000-220000
χ4322-2-222-22-2-22-2-222−2i2i-2-222-22-200−2i2i−2i2i2-200000000000000000000000000−2i2i002i−2i−2i2i000000000000-220000
χ4422-2-222-22-2-22-2-222−2i2i-2-222-22-200−2i2i−2i2i2-200000000000000000000000000−2i2i00−2i2i2i−2i0000000000002-20000
χ4544444-2-4-444-2-2-24-200-2-2-2-422-400000022000000004-4000000-2-20000000000000000000200000000000000
χ4644444-2-4-444-2-2-24-200-2-2-2-422-40000002200000000-44000000220000000000000000000-200000000000000
χ474444-24-4-4-2-2444-2-200-2-2-22-4-4200000022000000000000400-4000000-2-20000000000002000000000000000
χ484444-24-4-4-2-2444-2-200-2-2-22-4-4200000022000000000000-400400000022000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44-24-4-4-4-2224-20022-2-4-2240000002-200000000000004i−4i00000000000000000000000−2i2i000000000000
χ5444-4-44-24-4-4-4-2224-20022-2-4-2240000002-20000000000000−4i4i000000000000000000000002i−2i000000000000
χ5544-4-44-2-44-4-4-2224-24i−4i22-242-2-4004i−4i−2i2i-2200000000000000000000000000−2i2i000000000000000000000000
χ5644-4-44-2-44-4-4-2224-2−4i4i22-242-2-400−4i4i2i−2i-22000000000000000000000000002i−2i000000000000000000000000
χ5744-4-4-244-4224-4-4-2-20022-224-4-20000002-200000000004-40000000000000000000000000000-220000000000
χ5844-4-4-244-4224-4-4-2-20022-224-4-20000002-20000000000-4400000000000000000000000000002-20000000000
χ5944-4-4-24-44224-4-4-2-24i−4i22-2-2-44200−2i2i4i−4i-2200000000000000000000000000−2i2i000000000000000000000000
χ6044-4-4-24-44224-4-4-2-2−4i4i22-2-2-442002i−2i−4i4i-22000000000000000000000000002i−2i000000000000000000000000
χ6144-4-4-2-2-4422-222-214i−4i-1-11-22-2200−2i2i−2i2i1-100003i3i−3i−3i000000000000000000i−i3-30000000000000000000000
χ6244-4-4-2-2-4422-222-214i−4i-1-11-22-2200−2i2i−2i2i1-10000−3i−3i3i3i000000000000000000i−i-330000000000000000000000
χ6344-4-4-2-2-4422-222-21−4i4i-1-11-22-22002i−2i2i−2i1-100003i3i−3i−3i000000000000000000−ii-330000000000000000000000
χ6444-4-4-2-2-4422-222-21−4i4i-1-11-22-22002i−2i2i−2i1-10000−3i−3i3i3i000000000000000000−ii3-30000000000000000000000
χ654-44-444004-4-44-4-44004-4-400000000000000000000000000000022−2200000000000000000000000022−22000000
χ664-44-444004-4-44-4-44004-4-4000000000000000000000000000000−2222000000000000000000000000−2222000000
χ674-44-4-2400-22-44-42-200-22200000000000000i6−i6i6−i6i6−i6000000000022−2200−2i32i300000000000000000000−22000000
χ684-44-4-2400-22-44-42-200-22200000000000000i6−i6i6−i6i6−i60000000000−2222002i3−2i3000000000000000000002−2000000
χ694-44-4-2400-22-44-42-200-22200000000000000−i6i6−i6i6−i6i6000000000022−22002i3−2i300000000000000000000−22000000
χ704-44-4-2400-22-44-42-200-22200000000000000−i6i6−i6i6−i6i60000000000−222200−2i32i3000000000000000000002−2000000
χ714-4-444400-44-4-44-4400-44-400000000000000000000000000000000−2i22i200000000000000000000−2i22i200000000
χ724-4-444400-44-4-44-4400-44-4000000000000000000000000000000002i2−2i2000000000000000000002i2−2i200000000
χ734-4-444-200-4422-2-4-2002-220000000000006−6006−6−6600000000−2i32i300−2i22i200000000000000000000i2−i200000000
χ744-4-444-200-4422-2-4-2002-220000000000006−6006−6−66000000002i3−2i3002i2−2i200000000000000000000−i2i200000000
χ754-4-444-200-4422-2-4-2002-22000000000000−6600−666−600000000−2i32i3002i2−2i200000000000000000000−i2i200000000
χ764-4-444-200-4422-2-4-2002-22000000000000−6600−666−6000000002i3−2i300−2i22i200000000000000000000i2−i200000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-844-444-4200-2-224-44-4000000-220000000000000000000000000000000000000000000000000000
χ798-88-88-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-400-444-4442002-2-2000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000000
χ818-88-8-4-400-444-4442002-2-200000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000000
χ828-8-88-48004-4-8-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-44200-22-200000000000026−2600−666−600000000000000000000000000000000000000000000
χ848-8-88-4-4004-444-44200-22-2000000000000−2626006−6−6600000000000000000000000000000000000000000000

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