Finite Group Databasebeta

← Group #11921923

Character table — Group #11921923

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222333344666666888812121212161616161616161616162424242424242424242424243636363636363636363648484848
order124423461212224461224661212361212246123666612121212122444661212121212122488888888661212
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511-1-1-1111-1-111-1-1-11-1111-1-111-1-11-1-111-1-1-11111-1-11-11-111-1-111-1-11-111-1-111-1-111-1-1
χ611-1-1-1111-1-111-1-1-11-1111-1-111-1-11-1-111-1-1-11111-1-1-11-11-1-111-1-1111-1-1-111-1-11111-1-1
χ711-1-1-1111-1-111-1-1-11-1111-1-111-1-1-11-111-1-1-11111-1-11-11-111-1-111-1-1-11-1-111-1-111-1-111
χ811-1-1-1111-1-111-1-1-11-1111-1-111-1-1-11-111-1-1-11111-1-1-11-11-1-111-1-111-1111-1-111-1-1-1-111
χ92222222222222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000000000002200000000-1-1-1-1
χ102222222222222222222222-1-1-1-1-2-222-1-1-1-1-1-1-1-1-1-1000000000000-2-2000000001111
χ1122222-12-1-1-12222-1-122-1-1-1-1222200-1-1-12-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ1222222-12-1-1-12222-1-122-1-1-1-1222200-1-1-12-1-1-12-1-1-1-1-2-2-2-21111111100000000000000
χ132222-22-22222222-2-2-2-22222222200-2-22-2-2-22-2-2-22200000000000000000000000000
χ142222-22-22222222-2-2-2-22222-1-1-1-100-2-2-1111-1111-1-10000000000000000000000−i3i3−i3i3
χ152222-22-22222222-2-2-2-22222-1-1-1-100-2-2-1111-1111-1-10000000000000000000000i3−i3i3−i3
χ162222-2-1-2-1-1-1222211-2-2-1-1-1-122220011-1-211-1-211-1-10000−i3i3−i3i3−i3i3−i3i300000000000000
χ172222-2-1-2-1-1-1222211-2-2-1-1-1-122220011-1-211-1-211-1-10000i3−i3i3−i3i3−i3i3−i300000000000000
χ1822-2-222-22-2-222-2-22-22-222-2-222-2-2002-222222-2-2-2-2-200000000000000000000000000
χ1922-2-222-22-2-222-2-22-22-222-2-2-1-111002-2-1-1-1-1-1111110000000000000000000000−i3i3i3−i3
χ2022-2-222-22-2-222-2-22-22-222-2-2-1-111002-2-1-1-1-1-1111110000000000000000000000i3−i3−i3i3
χ2122-2-22-1-2-11122-2-2-112-2-1-11122-2-200-11-12-1-1-1-211110000−i3i3i3−i3−i3i3i3−i300000000000000
χ2222-2-22-1-2-11122-2-2-112-2-1-11122-2-200-11-12-1-1-1-211110000i3−i3−i3i3i3−i3−i3i300000000000000
χ2322-2-2-2222-2-222-2-2-22-2222-2-2-1-1112-2-22-1111-1-1-1-1110000000000002-200000000-1-111
χ2422-2-2-2222-2-222-2-2-22-2222-2-2-1-111-22-22-1111-1-1-1-111000000000000-220000000011-1-1
χ2522-2-2-2-12-11122-2-21-1-22-1-11122-2-2001-1-1-211-12-1-1112-22-2-1-111-1-11100000000000000
χ2622-2-2-2-12-11122-2-21-1-22-1-11122-2-2001-1-1-211-12-1-111-22-2211-1-111-1-100000000000000
χ272-22i−2i020-22i−2i2-22i−2i00002-22i−2i2-22i−2i00002000-20002i−2i000000000000002−2−i2i22−2−i2i20000
χ282-22i−2i020-22i−2i2-22i−2i00002-22i−2i2-22i−2i00002000-20002i−2i00000000000000−22i2−i2−22i2−i20000
χ292-2−2i2i020-2−2i2i2-2−2i2i00002-2−2i2i2-2−2i2i00002000-2000−2i2i000000000000002−2i2−i22−2i2−i20000
χ302-2−2i2i020-2−2i2i2-2−2i2i00002-2−2i2i2-2−2i2i00002000-2000−2i2i00000000000000−22−i2i2−22−i2i20000
χ313333333333-1-1-1-133-1-1-1-1-1-1000033-1-1000000000011-1-11111-1-1-1-1-1-11111-1-1-1-10000
χ323333333333-1-1-1-133-1-1-1-1-1-1000033-1-10000000000-1-111-1-1-1-11111-1-1-1-1-1-111110000
χ333333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-1000000000011-1-11111-1-1-1-111-1-1-1-111110000
χ343333333333-1-1-1-133-1-1-1-1-1-10000-3-3-1-10000000000-1-111-1-1-1-11111111111-1-1-1-10000
χ3533-3-3-3333-3-3-1-111-331-1-1-11100003-31-100000000001-1-1111-1-1-1-111-1111-1-1-1-1110000
χ3633-3-3-3333-3-3-1-111-331-1-1-11100003-31-10000000000-111-1-1-11111-1-1-11-1-11111-1-10000
χ3733-3-3-3333-3-3-1-111-331-1-1-1110000-331-100000000001-1-1111-1-1-1-1111-1-1-11111-1-10000
χ3833-3-3-3333-3-3-1-111-331-1-1-1110000-331-10000000000-111-1-1-11111-1-11-111-1-1-1-1110000
χ3944444-24-2-2-24444-2-244-2-2-2-2-2-2-2-200-2-21-2111-2111100000000000000000000000000
χ404444-4-2-4-2-2-2444422-4-4-2-2-2-2-2-2-2-2002212-1-112-1-11100000000000000000000000000
χ4144-4-44-2-4-22244-4-4-224-4-2-222-2-22200-221-21112-1-1-1-100000000000000000000000000
χ4244-4-4-4-24-22244-4-42-2-44-2-222-2-222002-212-1-11-211-1-100000000000000000000000000
χ434-44i−4i040-44i−4i4-44i−4i00004-44i−4i-22−2i2i0000-20002000−2i2i00000000000000000000000000
χ444-44i−4i0-202−2i2i4-44i−4i0000-22−2i2i4-44i−4i0000-20002000−2i2i00000000000000000000000000
χ454-44i−4i0-202−2i2i4-44i−4i0000-22−2i2i-22−2i2i0000103-3-103i−3ii−i00000000000000000000000000
χ464-44i−4i0-202−2i2i4-44i−4i0000-22−2i2i-22−2i2i000010-33-10−3i3ii−i00000000000000000000000000
χ474-4−4i4i040-4−4i4i4-4−4i4i00004-4−4i4i-222i−2i0000-200020002i−2i00000000000000000000000000
χ484-4−4i4i0-2022i−2i4-4−4i4i0000-222i−2i4-4−4i4i0000-200020002i−2i00000000000000000000000000
χ494-4−4i4i0-2022i−2i4-4−4i4i0000-222i−2i-222i−2i0000103-3-10−3i3i−ii00000000000000000000000000
χ504-4−4i4i0-2022i−2i4-4−4i4i0000-222i−2i-222i−2i000010-33-103i−3i−ii00000000000000000000000000
χ5166666-36-3-3-3-2-2-2-2-3-3-2-2111100000011000000000022-2-2-1-1-1-1111100000000000000
χ5266666-36-3-3-3-2-2-2-2-3-3-2-21111000000110000000000-2-2221111-1-1-1-100000000000000
χ536666-66-6666-2-2-2-2-6-622-2-2-2-200000022000000000000000000000000000000000000
χ546666-6-3-6-3-3-3-2-2-2-233221111000000-1-100000000000000−i3i3−i3i3i3−i3i3−i300000000000000
χ556666-6-3-6-3-3-3-2-2-2-233221111000000-1-100000000000000i3−i3i3−i3−i3i3−i3i300000000000000
χ5666-6-666-66-6-6-2-2226-6-22-2-222000000-22000000000000000000000000000000000000
χ5766-6-66-3-6-333-2-222-33-2211-1-10000001-100000000000000−i3i3i3−i3i3−i3−i3i300000000000000
χ5866-6-66-3-6-333-2-222-33-2211-1-10000001-100000000000000i3−i3−i3i3−i3i3i3−i300000000000000
χ5966-6-6-6-36-333-2-2223-32-211-1-1000000-1100000000002-2-22-1-11111-1-100000000000000
χ6066-6-6-6-36-333-2-2223-32-211-1-1000000-110000000000-222-211-1-1-1-11100000000000000
χ616-66i−6i060-66i−6i-22−2i2i0000-22−2i2i000000000000000000000000000000002−2−i2i2−22i2−i20000
χ626-66i−6i060-66i−6i-22−2i2i0000-22−2i2i00000000000000000000000000000000−22i2−i22−2−i2i20000
χ636-6−6i6i060-6−6i6i-222i−2i0000-222i−2i000000000000000000000000000000002−2i2−i2−22−i2i20000
χ646-6−6i6i060-6−6i6i-222i−2i0000-222i−2i00000000000000000000000000000000−22−i2i22−2i2−i20000
χ6512-1212i−12i0-606−6i6i-44−4i4i00002-22i−2i00000000000000000000000000000000000000000000
χ6612-12−12i12i0-6066i−6i-444i−4i00002-2−2i2i00000000000000000000000000000000000000000000

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