Finite Group Databasebeta

← Group #11922497

Character table — Group #11922497

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244666688812121212121216161618182424242424243232323236363636364848484848727296
order123462122488366444461236128828812121266612224886242424244812
χ1111111111111111111111111111111111111111111111111
χ21111111111111111-1-111111-1-1-1-1-11-1-111111-1-11-1-1-1-111-1-11
χ3111111111-1-11111-11111111-1-11111111111-1-1-1-1-1111-1-1-1-1-1
χ4111111111-1-11111-1-1-11111111-1-1-11-1-11111-111-11-1-1-1-1-111-1
χ511111-1111111-11-1-1111111111-11-1-111-1-1-11-11111-11-111-1-1-1
χ611111-1111111-11-1-1-1-111111-1-11-11-1-1-1-1-1-11-1-1-11-11-111111-1
χ711111-1111-1-11-11-111111111-1-1-11-1-111-1-1-111-1-1-1-1-11-1-1-1111
χ811111-1111-1-11-11-11-1-111111111-11-1-1-1-1-1-11111-111-11-1-1-1-11
χ922222222222-12-1220022-1-1-100000200-1-1-1-120020000-1-100-1
χ10222222222-2-2-12-12-20022-1-1-100000200-1-1-1-1-200-2000011001
χ1122222-222222-1-2-1-2-20022-1-1-100000-200111-1-20020000-1-1001
χ1222222-2222-2-2-1-2-1-220022-1-1-100000-200111-1200-200001100-1
χ13222-220-2-22002020000-2222-222000000000-20-220-200000000
χ14222-220-2-22002020000-2222-2-2-2000000000-202-20200000000
χ1522-12-12-122002-122022-1-1-1-1200222-1-1-12-1-1-100000-1-1-100000
χ1622-12-12-122002-1220-2-2-1-1-1-1200-2-2-2-1112-1-1-10000011100000
χ1722-12-1-2-12200212-2022-1-1-1-1200-22-21-1-1-211-1000001-1100000
χ1822-12-1-2-12200212-20-2-2-1-1-1-12002-22111-211-100000-11-100000
χ193333333-1-133030-1311-1-100011-1-11-1110000-1-1-1-11-1-1100-110
χ203333333-1-133030-13-1-1-1-1000-1-111-1-1-1-10000-111-1-111-1001-10
χ213333333-1-1-3-3030-1-311-1-1000-1-1-1-11-11100001111-1-1-11001-10
χ223333333-1-1-3-3030-1-3-1-1-1-10001111-1-1-1-100001-1-11111-100-110
χ2333333-33-1-1330-301-311-1-1000111-1-111100001-1-1-111-1-1001-10
χ2433333-33-1-1330-301-3-1-1-1-1000-1-1-1111-1-10000111-1-1-11100-110
χ2533333-33-1-1-3-30-301311-1-1000-1-11-1-11110000-1111-11-1-100-110
χ2633333-33-1-1-3-30-3013-1-1-1-100011-1111-1-10000-1-1-111-111001-10
χ27444-440-4-4400-20-20000-44-2-220000000000020000000000000
χ2844-24-24-24400-2-2-24000-2-211-200000-200-21110000000000000
χ2944-24-2-4-24400-22-2-4000-2-211-2000002002-1-110000000000000
χ3044-2-4-202-440040400002-2-2-2-40000000000020000000000000
χ3144-2-4-202-4400-20-200002-21120000000003-3-10000000000000
χ3244-2-4-202-4400-20-200002-2112000000000-33-10000000000000
χ334-440-400002i2−2i2-202002i−2i00-22022−2200002i−2i000000000000i2−i2000
χ344-440-400002i2−2i2-20200−2i2i00-220−22220000−2i2i000000000000i2−i2000
χ354-440-40000−2i22i2-202002i−2i00-220−222200002i−2i000000000000−i2i2000
χ364-440-40000−2i22i2-20200−2i2i00-22022−220000−2i2i000000000000−i2i2000
χ37666-660-62-20000000002-200022000000000002-20-200000000
χ38666-660-62-20000000002-2000-2-200000000000-220200000000
χ3966-36-36-3-2-2000-30-20221100000-2-221-1-100000000011-100000
χ4066-36-36-3-2-2000-30-20-2-2110000022-2111000000000-1-1100000
χ4166-36-3-6-3-2-200030202211000002-2-2-1-1-1000000000-11100000
χ4266-36-3-6-3-2-20003020-2-21100000-222-1110000000001-1-100000
χ438-880-800004i2−4i220-20000002-2000000000000000000000−i2i2000
χ448-880-80000−4i24i220-20000002-2000000000000000000000i2−i2000
χ458-8-404000000-404004i−4i002-20000000−2i2i00000000000000000
χ468-8-404000000-40400−4i4i002-200000002i−2i00000000000000000
χ471212-6-12-6064-4000000000-220000000000000000000000000000
χ4816-16-80800000040-4000000-2200000000000000000000000000

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