Finite Group Databasebeta

← Group #11872774

Character table — Group #11872774

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666663446668812121212412121212121224242424242424242224444412121212121212121212444424666881212122424242422886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1111-11-1-1-11-1-111-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-1-111-1-11111-1-1111111-1-1-1-11-1-1-11-1111-111-1-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1111-1-1111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-11-1-1111-1-1-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-111-111-1-1-111-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-111-1-111-1-1-111
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-111111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1111-1-11111-1-11-11
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11-11111-1-1-1-1-1-11111111-1-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-111-11111-11111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-11-1-1-1-1111111-1-11111-11-1
χ17222222-2-222222220022200-2-2-2-200000-2-200000000002-22-200-2-222000000-2-222000020000-200000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2200-2-2-2-200000022-2-2000020000200000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-222-200222200000022-2-20000-20000-200000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-22-220022-2-2000000-2-2220000-20000200000000000
χ2122222-1222-1-1-122-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-100220022-1-100-12-1-1-1-100002000-102-1-10-1-1000000-100
χ2222222-1222-1-1-122-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-100-2-200-2-21100-12-1-1-1-10000-200010-211011000000100
χ2322222-1222-1-1-122-122-1-1-1-2-22-1-12-2-1-122-1-111-2-2111100220022-1-1001-2-1-1110000-2000-10-2-1-1011000000100
χ2422222-1222-1-1-122-122-1-1-1-2-22-1-12-2-1-122-1-111-2-2111100-2-200-2-211001-2-1-11100002000102110-1-1000000-100
χ2522222-1222-1-1-122-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1002200-2-2-1-1001-211110000-2000-102110-1-1000000100
χ2622222-1222-1-1-122-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-100-2-2002211001-211110000200010-2-1-1011000000-100
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-21111002200-2-2-1-100-1211-1-100002000-10-211011000000-100
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-2111100-2-200221100-1211-1-10000-2000102-1-10-1-1000000100
χ292222-1222-1222-1-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-12200220000-1-12-1-1-1-1-1000002-1-102000-100-1-100000-10
χ302222-1222-1222-1-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-1-2-200-2-20000112-1-1-1-1-100000-2110-2000100110000010
χ312222-1222-1222-1-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-21111112200220000-1-1-21-1-11100000-2-1-10-2000-100110000010
χ322222-1222-1222-1-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-2111111-2-200-2-2000011-21-1-1110000021102000100-1-100000-10
χ332222-1222-1222-1-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-12200-2-2000011-211111000002-1-10-20001001100000-10
χ342222-1222-1222-1-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-1-2-200220000-1-1-21111100000-21102000-100-1-10000010
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-21111112200-2-20000112-111-1-100000-2-1-102000100-1-10000010
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-2111111-2-200220000-1-12-111-1-1000002110-2000-1001100000-10
χ3722-2-2222-222-2-2-2-222i−2i-22-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i002i−2i2i−2i000000000000002-200000
χ3822-2-2222-222-2-2-2-222i−2i-22-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i00−2i2i−2i2i00000000000000-2200000
χ3922-2-2222-222-2-2-2-22−2i2i-22-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i002i−2i2i−2i00000000000000-2200000
χ4022-2-2222-222-2-2-2-22−2i2i-22-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i00−2i2i−2i2i000000000000002-200000
χ4122-2-222-2222-2-2-2-2200-22-2002-22-2000002-2000000002-200002i−2i00000000002i−2i−2i2i002-20002i−2i000000000000
χ4222-2-222-2222-2-2-2-2200-22-2002-22-2000002-2000000002-20000−2i2i0000000000−2i2i2i−2i002-2000−2i2i000000000000
χ4322-2-222-2222-2-2-2-2200-22-2002-22-2000002-200000000-2200002i−2i0000000000−2i2i2i−2i00-220002i−2i000000000000
χ4422-2-222-2222-2-2-2-2200-22-2002-22-2000002-200000000-220000−2i2i00000000002i−2i−2i2i00-22000−2i2i000000000000
χ4544444-2-4-44-2-2-244-200-2-2-200-422-4000002200000000004-40000220000000000000000-20000000000000000
χ4644444-2-4-44-2-2-244-200-2-2-200-422-400000220000000000-440000-2-2000000000000000020000000000000000
χ474444-24-4-4-2444-2-2-200-2-2-2002-4-4200000220000000000004-40000-2-20000000000000000000200000000000
χ484444-24-4-4-2444-2-2-200-2-2-2002-4-420000022000000000000-440000220000000000000000000-200000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-44-24-44-222-4-4-24i−4i2-2200-4-2240−2i2i4i−4i2-20000000000000000000000−2i2i000000000000000000000000000
χ5444-4-44-24-44-222-4-4-2−4i4i2-2200-4-22402i−2i−4i4i2-200000000000000000000002i−2i000000000000000000000000000
χ5544-4-44-2-444-222-4-4-2002-220042-2-400000-22000000000000004i−4i000000000000000000000−2i2i000000000000
χ5644-4-44-2-444-222-4-4-2002-220042-2-400000-2200000000000000−4i4i0000000000000000000002i−2i000000000000
χ5744-4-4-244-4-24-4-422-24i−4i2-220024-4-204i−4i−2i2i2-20000000000000000000000−2i2i000000000000000000000000000
χ5844-4-4-244-4-24-4-422-2−4i4i2-220024-4-20−4i4i2i−2i2-200000000000000000000002i−2i000000000000000000000000000
χ5944-4-4-24-44-24-4-422-2002-2200-2-44200000-22000000004-40000000000000000000000-2200000000000000000
χ6044-4-4-24-44-24-4-422-2002-2200-2-44200000-2200000000-4400000000000000000000002-200000000000000000
χ6144-4-4-2-24-4-2-2222214i−4i-11-1002-22-20−2i2i−2i2i-11000033-3-300000000000000i−i3i−3i0000000000000000000000000
χ6244-4-4-2-24-4-2-2222214i−4i-11-1002-22-20−2i2i−2i2i-110000-3-33300000000000000i−i−3i3i0000000000000000000000000
χ6344-4-4-2-24-4-2-222221−4i4i-11-1002-22-202i−2i2i−2i-11000033-3-300000000000000−ii−3i3i0000000000000000000000000
χ6444-4-4-2-24-4-2-222221−4i4i-11-1002-22-202i−2i2i−2i-110000-3-33300000000000000−ii3i−3i0000000000000000000000000
χ654-44-44400-4-44-44-4400-4-440000000000000000000000000000000000000000000000000000000000022−22000
χ664-44-44400-4-44-44-4400-4-4400000000000000000000000000000000000000000000000000000000000−2222000
χ674-4-444400-4-4-44-444004-4-422−220000000000022−2222−2222−2222−220000000000000000000000000000000000000000000
χ684-4-444400-4-4-44-444004-4-4−222200000000000−2222−2222−2222−22220000000000000000000000000000000000000000000
χ694-4-444-200-422-2-44-200-22222−2200000000000−2222−22−22−220000000023−2300000000000000000000006−6000000000
χ704-4-444-200-422-2-44-200-22222−2200000000000−2222−22−22−2200000000−23230000000000000000000000−66000000000
χ714-4-444-200-422-2-44-200-222−2222000000000002−2−22222−22−20000000023−230000000000000000000000−66000000000
χ724-4-444-200-422-2-44-200-222−2222000000000002−2−22222−22−200000000−232300000000000000000000006−6000000000
χ734-4-44-24002-4-442-2-200-22222−220000000000022−22−22−22−22000000000023−2300000000000000000000006−60000000
χ744-4-44-24002-4-442-2-200-22222−220000000000022−22−22−22−220000000000−23230000000000000000000000−660000000
χ754-4-44-24002-4-442-2-200-222−222200000000000−22222−22−22−2000000000023−230000000000000000000000−660000000
χ764-4-44-24002-4-442-2-200-222−222200000000000−22222−22−22−20000000000−232300000000000000000000006−60000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-88-4-44444200-22-200-44-44000002-2000000000000000000000000000000000000000000000000000
χ798-88-88-400-84-448-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-48004-88-8-44-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-40044-44-44200-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44200-2-2200000000000000000−323232−320000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-42002-2-242−4200000000000−2222−22222−22−20000000000000000000000000000000000000000000
χ848-8-88-4-400444-44-42002-2-2−42420000000000022−2222−22−22−220000000000000000000000000000000000000000000

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