Finite Group Databasebeta

← Group #11886821

Character table — Group #11886821

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222444444444444444466888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order122334466668836666812121212242424242424882266661212242424242422244444668121212121212242424246666664466812122424241212888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1111111111-111-111-1-111111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1-1-11111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1
χ511111111111111111111111111111-1-11111111111111111111-1-111-1-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-111
χ911111111111-1-111111-11111-1-1-1-1-1-1111-111-1-111-1-1-1-1-11-111-11-1-1111-1-1-1-11111111-111-1-11-11-1-11-1-1-1111-1-11-1
χ1011111111111-1-111111-11111-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-11-1-1-1-1-1-111111-111-1-11-1-111-1111-1-11-11-11
χ1111111111111-1-111111-11111-1-1-1-1-1-111-11-1-11111-1-1-1-1-11-1-11-1-1-1-1-1-11-1-1-1-1-1-11111-11-1-111-111-111-111-1-1-1111-1
χ1211111111111-1-111111-11111-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-111-111-1-1111-1-1-1-1111111-11-1-111-11-11-1-11-1-111-11-1-11
χ1311111111111-1-111111-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-11-111-111111-1111111-1-1-1-11-111-1-1-111-1-11-1-1-1-1-1-111-11
χ1411111111111-1-111111-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11-1-11-111-1-1-11111-1-1-1-1-1-11-111-1-1-11-111-111111-11-11-1
χ1511111111111-1-111111-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-11-1-11-1-111-1-1-11111-1-1-1-1-1-1-11-1-1111-11-111-111111-1-1-11
χ1611111111111-1-111111-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1111111-1111111-1-1-1-1-11-1-1111-1-11-1-11-1-1-1-11-111-1
χ172222-12222-1222-1-1-1-1-12-122-12222-1-10022-1-1-1-1-1-1-1-1-1-1-122222200-1-100000-1-1000022-1-1-1-100-1-12-1-1-1-10000000
χ182222-12222-1222-1-1-1-1-12-122-12222-1-10022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200110000011000022-1-1-1-10011-211110000000
χ192222-12222-1222-1-1-1-1-12-122-12222-1-100-2-21111-1-1-1-1-1-1-122-222-2001100000110000-2-2111100-1-1-2-1-1110000000
χ202222-12222-1222-1-1-1-1-12-122-12222-1-100-2-21111-1-1-1-1-1-1-1-2-22-2-2200-1-100000-1-10000-2-211110011211-1-10000000
χ212222-12222-12-2-2-1-1-1-1-1-2-122-1-2-2-2-211002-2-1-111-1-1111112-222-2200-1-100000-1-100002-2-1-11100-11-2-11110000000
χ222222-12222-12-2-2-1-1-1-1-1-2-122-1-2-2-2-211002-2-1-111-1-111111-22-2-22-20011000001100002-2-1-111001-121-1-1-10000000
χ232222-12222-12-2-2-1-1-1-1-1-2-122-1-2-2-2-21100-2211-1-1-1-1111112-2-22-2-2001100000110000-2211-1-100-112-11-1-10000000
χ242222-12222-12-2-2-1-1-1-1-1-2-122-1-2-2-2-21100-2211-1-1-1-111111-222-22200-1-100000-1-10000-2211-1-1001-1-21-1110000000
χ25222-1222-1-12-122-12-1-1-122-1-12-1-1-1-12222222222-1-12-1-1-1-100000022002-1-1-1-100-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ26222-1222-1-12-122-12-1-1-122-1-12-1-1-1-12222-2-2-2-2-2-2-1-12-1-1-1-100000022002-1-1-1-100-1-1-1-1111111-2-200000000011000
χ27222-1222-1-12-122-12-1-1-122-1-12-1-1-1-122-2-2222222-1-12-1-1-1-1000000-2-200-21111001111-1-1-1-1-1-1-2-200000000011000
χ28222-1222-1-12-122-12-1-1-122-1-12-1-1-1-122-2-2-2-2-2-2-2-2-1-12-1-1-1-1000000-2-200-2111100111111111122000000000-1-1000
χ29222-1222-1-12-1-2-2-12-1-1-1-22-1-121111-2-2222-222-2-2-1-1-21111000000-2-2002111100-1-1-1-1-11-1-1112-2000000000-11000
χ30222-1222-1-12-1-2-2-12-1-1-1-22-1-121111-2-222-22-2-222-1-1-21111000000-2-2002111100-1-1-1-11-111-1-1-220000000001-1000
χ31222-1222-1-12-1-2-2-12-1-1-1-22-1-121111-2-2-2-22-222-2-2-1-1-211110000002200-2-1-1-1-1001111-11-1-111-220000000001-1000
χ32222-1222-1-12-1-2-2-12-1-1-1-22-1-121111-2-2-2-2-22-2-222-1-1-211110000002200-2-1-1-1-10011111-111-1-12-2000000000-11000
χ3322-2222-2-2-222222-2-2-22-2-22-2222-2-22200000000-22-222-2-2220-2-2000000000000000000000000220-2-2000000000
χ3422-2222-2-2-222222-2-2-22-2-22-2222-2-22200000000-22-222-2-2-2-2022000000000000000000000000-2-2022000000000
χ3522-2222-2-2-222-2-22-2-2-222-22-22-2-222-2-200000000-222-2-2222-20-220000000000000000000000002-20-22000000000
χ3622-2222-2-2-222-2-22-2-2-222-22-22-2-222-2-200000000-222-2-222-2202-2000000000000000000000000-2202-2000000000
χ3722-222-22-2-222002-2-2-2202-22-2000000220000002-20000000200-20022-20000-2-222-2-2000000000000000-2200000
χ3822-222-22-2-222002-2-2-2202-22-2000000220000002-20000000-200200-2-2-200002222-2-20000000000000002-200000
χ3922-222-22-2-222002-2-2-2202-22-2000000-2-20000002-20000000200-2002220000-2-2-2-2220000000000000002-200000
χ4022-222-22-2-222002-2-2-2202-22-2000000-2-20000002-20000000-200200-2-22000022-2-222000000000000000-2200000
χ4122-22-12-2-2-2-1222-1111-1-212-2-122-2-2-1-10000−i3i3−i3i31-11-1-111220-2-2000−i3i300000−i3i3000000−i3i3−i3i300-1-1011−i3i30000000
χ4222-22-12-2-2-2-1222-1111-1-212-2-122-2-2-1-10000−i3i3−i3i31-11-1-111-2-2022000i3−i300000i3−i3000000−i3i3−i3i300110-1-1i3−i30000000
χ4322-22-12-2-2-2-1222-1111-1-212-2-122-2-2-1-10000i3−i3i3−i31-11-1-111220-2-2000i3−i300000i3−i3000000i3−i3i3−i300-1-1011i3−i30000000
χ4422-22-12-2-2-2-1222-1111-1-212-2-122-2-2-1-10000i3−i3i3−i31-11-1-111-2-2022000−i3i300000−i3i3000000i3−i3i3−i300110-1-1−i3i30000000
χ4522-22-12-2-2-2-12-2-2-1111-1212-2-1-2-222110000−i3i3i3−i31-1-111-1-12-20-22000−i3i300000−i3i3000000−i3i3i3−i300-1101-1i3−i30000000
χ4622-22-12-2-2-2-12-2-2-1111-1212-2-1-2-222110000−i3i3i3−i31-1-111-1-1-2202-2000i3−i300000i3−i3000000−i3i3i3−i3001-10-11−i3i30000000
χ4722-22-12-2-2-2-12-2-2-1111-1212-2-1-2-222110000i3−i3−i3i31-1-111-1-12-20-22000i3−i300000i3−i3000000i3−i3−i3i300-1101-1−i3i30000000
χ4822-22-12-2-2-2-12-2-2-1111-1212-2-1-2-222110000i3−i3−i3i31-1-111-1-1-2202-2000−i3i300000−i3i3000000i3−i3−i3i3001-10-11i3−i30000000
χ4944444-4-4444400444440-4-4-4-400000000000000-4-4000000000000000000000000000000000000000000000000
χ504444-2-4-444-2400-2-2-2-2-202-4-4200000000000000220000000000000−2i32i3000002i3−2i300000000000000000000000000
χ514444-2-4-444-2400-2-2-2-2-202-4-42000000000000002200000000000002i3−2i300000−2i32i300000000000000000000000000
χ52444-24-4-4-2-24-200-24-2-2-20-422-400000000000000220000000000000000−2i3−2i32i32i30000000000000000000000000000
χ53444-24-4-4-2-24-200-24-2-2-20-422-4000000000000002200000000000000002i32i3−2i3−2i30000000000000000000000000000
χ54444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-20044-2-2-2-211-21111000000000000000000000-2-211110000000000000000
χ55444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-200-4-4222211-2111100000000000000000000022-1-1-1-10000000000000000
χ56444-2-244-2-2-2-2-4-41-2111-4-2-2-2-2222222004-4-2-222112-1-1-1-1000000000000000000000-2211-1-10000000000000000
χ57444-2-244-2-2-2-2-4-41-2111-4-2-2-2-222222200-4422-2-2112-1-1-1-10000000000000000000002-2-1-1110000000000000000
χ5844-44-2-44-4-4-2400-2222-20-2-44200000000000000-220000000400-400-2-2000002200000000000000000000000000
χ5944-44-2-44-4-4-2400-2222-20-2-44200000000000000-220000000-4004002200000-2-200000000000000000000000000
χ6044-4-244-4224-244-2-422-2-4-4-224-2-22244000000002-2-4-2-2220000000000000000000000000000000000000000000
χ6144-4-244-4224-2-4-4-2-422-24-4-22422-2-2-4-4000000002-2422-2-20000000000000000000000000000000000000000000
χ6244-4-24-44224-200-2-422-2042-2-400000044000000-22000000000000000-4000000-2-2220000000000000000000000
χ6344-4-24-44224-200-2-422-2042-2-4000000-4-4000000-22000000000000000400000022-2-20000000000000000000000
χ6444-4-2-24-422-2-24412-1-11-42-22-2-2-222-2-20000−2i32i3−2i32i3-11211-1-100000000000000000000000i3−i3i3−i30000000000000000
χ6544-4-2-24-422-2-24412-1-11-42-22-2-2-222-2-200002i3−2i32i3−2i3-11211-1-100000000000000000000000−i3i3−i3i30000000000000000
χ6644-4-2-24-422-2-2-4-412-1-1142-22-222-2-2220000−2i32i32i3−2i3-11-2-1-11100000000000000000000000i3−i3−i3i30000000000000000
χ6744-4-2-24-422-2-2-4-412-1-1142-22-222-2-22200002i3−2i3−2i32i3-11-2-1-11100000000000000000000000−i3i3i3−i30000000000000000
χ684-40440000-4-422−224000-40000022−220022−22−2i22i200000000022−22000000002i−2i0002i−2i2i−2i00−2i22i2000000000000000000000000
χ694-40440000-4-422−224000-40000022−220022−222i2−2i200000000022−2200000000−2i2i000−2i2i−2i2i002i2−2i2000000000000000000000000
χ704-40440000-4-4−22224000-400000−222200−2222−2i22i2000000000−222200000000−2i2i000−2i2i−2i2i00−2i22i2000000000000000000000000
χ714-40440000-4-4−22224000-400000−222200−22222i2−2i2000000000−2222000000002i−2i0002i−2i2i−2i002i2−2i2000000000000000000000000
χ724-40-2400−2i32i3-4222−22-20−2i32i3200000−22i6−i622−22−2i22i2000000000−22i6−i60000002i−2i0002ζ14−2ζ142ζ22−2ζ2200i2−i26−60000000000000000000000
χ734-40-2400−2i32i3-4222−22-20−2i32i3200000−22i6−i622−222i2−2i2000000000−22i6−i6000000−2i2i000−2ζ142ζ14−2ζ222ζ2200−i2i2−660000000000000000000000
χ744-40-2400−2i32i3-42−2222-20−2i32i32000002−2−i6i6−2222−2i22i20000000002−2−i6i6000000−2i2i000−2ζ142ζ14−2ζ222ζ2200i2−i26−60000000000000000000000
χ754-40-2400−2i32i3-42−2222-20−2i32i32000002−2−i6i6−22222i2−2i20000000002−2−i6i60000002i−2i0002ζ14−2ζ142ζ22−2ζ2200−i2i2−660000000000000000000000
χ764-40-24002i3−2i3-4222−22-202i3−2i3200000−22−i6i622−22−2i22i2000000000−22−i6i60000002i−2i0002ζ22−2ζ222ζ14−2ζ1400i2−i2−660000000000000000000000
χ774-40-24002i3−2i3-4222−22-202i3−2i3200000−22−i6i622−222i2−2i2000000000−22−i6i6000000−2i2i000−2ζ222ζ22−2ζ142ζ1400−i2i26−60000000000000000000000
χ784-40-24002i3−2i3-42−2222-202i3−2i32000002−2i6−i6−2222−2i22i20000000002−2i6−i6000000−2i2i000−2ζ222ζ22−2ζ142ζ1400i2−i2−660000000000000000000000
χ794-40-24002i3−2i3-42−2222-202i3−2i32000002−2i6−i6−22222i2−2i20000000002−2i6−i60000002i−2i0002ζ22−2ζ222ζ14−2ζ1400−i2i26−60000000000000000000000
χ80888-4-4-8-8-4-4-4-4002-42220444400000000000000-2-2000000000000000000000000000000000000000000000000
χ8188-8-4-4-8844-4-40024-2-220-44-44000000000000002-2000000000000000000000000000000000000000000000000
χ828-808-400004-842−42-400040000042−4200−222200000000000−2222000000000000000000000000000000000000000000000
χ838-808-400004-8−4242-4000400000−42420022−220000000000022−22000000000000000000000000000000000000000000000
χ848-80-4-400−4i34i34442−42202i3−2i3-200000−22222i6−2i6−2222000000000002−2−i6i60000000000000000000000000000000000000000000
χ858-80-4-400−4i34i344−4242202i3−2i3-20000022−22−2i62i622−2200000000000−22i6−i60000000000000000000000000000000000000000000
χ868-80-4-4004i3−4i34442−4220−2i32i3-200000−2222−2i62i6−2222000000000002−2i6−i60000000000000000000000000000000000000000000
χ878-80-4-4004i3−4i344−424220−2i32i3-20000022−222i6−2i622−2200000000000−22−i6i60000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.