Finite Group Databasebeta

← Group #11863809

Character table — Group #11863809

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444466888899121212121212121618242424242424363636487211244444668888991212121212121216182424242424243636364872
order12433466441212121222222881212124466624244881242246646644121212122222288121212446662424488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11111-1111-1-11-1-1-1-11111111111111111111-1-11111-1111-1-11-1-1-1-1
χ311111111-1-1111111-1-1-111-1-1111-1-1-1111-1-11-111111111-1-1111111-1-1-111-1-1111-1-1-1111-1-11-1
χ411111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-11
χ511111-111111-1-11111-1-11111-11-11-1-111-111-1-111111-111111-1-11111-1-11111-11-11-1-111-111-1-1
χ611111-111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1-11111111-111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1-111
χ711111-111-1-11-1-1111-11111-1-1-11-1-11111-1-1-1-1111111-111-1-11-1-1111-11111-1-1-11-1-11111-1-1-1-11
χ811111-111-1-11-1-1111-111-1-1-1-1-111-111-1-1-1111-111111-111-1-11-1-1111-111-1-1-1-1-111-111-1-1-1111-1
χ922222222002222-2-200000002-2000000-2000022222222002222-2-200000002-2000000-20000
χ1022222-222002-2-22-2-20000000-2-20000002000022222-222002-2-22-2-20000000-2-200000020000
χ1122-22202200-200-2-2-202-2000002002-2000000022-22202200-200-2-2-202-2000002002-20000000
χ1222-22202200-200-2-2-20-2200000200-22000000022-22202200-200-2-2-20-2200000200-220000000
χ1322-22202222-200-222-20000220-20-200000000022-22202222-200-222-20000220-20-2000000000
χ1422-222022-2-2-200-22220000-2-20-20200000000022-222022-2-2-200-22220000-2-20-202000000000
χ152-20220-2-22i−2i0000-220002−22i−2i0000002−20i2−i2002-20220-2-22i−2i0000-220002−22i−2i0000002−20i2−i200
χ162-20220-2-22i−2i0000-22000−222i−2i000000−220−i2i2002-20220-2-22i−2i0000-22000−222i−2i000000−220−i2i200
χ172-20220-2-2−2i2i0000-220002−2−2i2i0000002−20−i2i2002-20220-2-2−2i2i0000-220002−2−2i2i0000002−20−i2i200
χ182-20220-2-2−2i2i0000-22000−22−2i2i000000−220i2−i2002-20220-2-2−2i2i0000-22000−22−2i2i000000−220i2−i200
χ194441-24-2100-2-2-21000002200102000-1-1000-104441-24-2100-2-2-21000002200102000-1-1000-10
χ204441-24-2100-2-2-2100000-2-20010-200011000104441-24-2100-2-2-2100000-2-20010-20001100010
χ214441-2-4-2100-2221000002200-10-2000-1-1000104441-2-4-2100-2221000002200-10-2000-1-100010
χ224441-2-4-2100-222100000-2-200-10200011000-104441-2-4-2100-222100000-2-200-10200011000-10
χ23444-2141-222111-20022200-1-1-200-1-1-10000000444-2141-222111-20022200-1-1-200-1-1-10000000
χ24444-2141-2-2-2111-200-2-2-20011-2001110000000444-2141-2-2-2111-200-2-2-20011-2001110000000
χ25444-21-41-2221-1-1-2002-2-200-1-1200-1110000000444-21-41-2221-1-1-2002-2-200-1-1200-1110000000
χ26444-21-41-2-2-21-1-1-200-22200112001-1-10000000444-21-41-2-2-21-1-1-200-22200112001-1-10000000
χ2744-4-2101-222-13-3200-22-200-1-10001-11000000044-4-2101-222-13-3200-22-200-1-10001-110000000
χ2844-4-2101-222-1-33200-2-2200-1-100011-1000000044-4-2101-222-1-33200-2-2200-1-100011-10000000
χ2944-4-2101-2-2-2-13-32002-220011000-11-1000000044-4-2101-2-2-2-13-32002-220011000-11-10000000
χ3044-4-2101-2-2-2-1-3320022-20011000-1-11000000044-4-2101-2-2-2-1-3320022-20011000-1-110000000
χ314-40440-4-40000004-4000000000000000000004-40440-4-40000004-400000000000000000000
χ3288-82-40-4200400-2000000000000000000000088-82-40-4200400-20000000000000000000000
χ338-802-404-20000000000022−2200000000−22000008-802-404-20000000000022−2200000000−2200000
χ348-802-404-200000000000−2222000000002−2000008-802-404-200000000000−2222000000002−200000
χ358-80-420-244i−4i00000000000−2i2i00000000000008-80-420-244i−4i00000000000−2i2i0000000000000
χ368-80-420-24−4i4i000000000002i−2i00000000000008-80-420-24−4i4i000000000002i−2i0000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111-1-11111-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-11111
χ3911111111-1-1111111-1-1-111-1-1111-1-1-1111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1111-1-1-111-11
χ4011111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1111111-1-1-11-1
χ4111111-111111-1-11111-1-11111-11-11-1-111-111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11-11-111-1-11-1-111
χ4211111-111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-11-1-1-11111111-1-1
χ4311111-111-1-11-1-1111-11111-1-1-11-1-11111-1-1-1-11-1-1-1-1-11-1-111-111-1-1-11-1-1-1-1111-111-1-1-1-11111-1
χ4411111-111-1-11-1-1111-111-1-1-1-1-111-111-1-1-1111-1-1-1-1-1-11-1-111-111-1-1-11-1-111111-1-11-1-1111-1-1-11
χ4522222222002222-2-200000002-2000000-20000-2-2-2-2-2-2-2-200-2-2-2-2220000000-2200000020000
χ4622222-222002-2-22-2-20000000-2-200000020000-2-2-2-2-22-2-200-222-222000000022000000-20000
χ4722-22202200-200-2-2-202-2000002002-20000000-2-22-2-20-2-2002002220-2200000-200-220000000
χ4822-22202200-200-2-2-20-2200000200-220000000-2-22-2-20-2-20020022202-200000-2002-20000000
χ4922-22202222-200-222-20000220-20-2000000000-2-22-2-20-2-2-2-22002-2-220000-2-20202000000000
χ5022-222022-2-2-200-22220000-2-20-202000000000-2-22-2-20-2-2222002-2-2-2000022020-2000000000
χ512-20220-2-22i−2i0000-220002−22i−2i0000002−20i2−i200-220-2-2022−2i2i00002-2000−22−2i2i000000−220−i2i200
χ522-20220-2-22i−2i0000-22000−222i−2i000000−220−i2i200-220-2-2022−2i2i00002-20002−2−2i2i0000002−20i2−i200
χ532-20220-2-2−2i2i0000-220002−2−2i2i0000002−20−i2i200-220-2-20222i−2i00002-2000−222i−2i000000−220i2−i200
χ542-20220-2-2−2i2i0000-22000−22−2i2i000000−220i2−i200-220-2-20222i−2i00002-20002−22i−2i0000002−20−i2i200
χ554441-24-2100-2-2-21000002200102000-1-1000-10-4-4-4-12-42-100222-100000-2-200-10-20001100010
χ564441-24-2100-2-2-2100000-2-20010-20001100010-4-4-4-12-42-100222-1000002200-102000-1-1000-10
χ574441-2-4-2100-2221000002200-10-2000-1-100010-4-4-4-1242-1002-2-2-100000-2-20010200011000-10
χ584441-2-4-2100-222100000-2-200-10200011000-10-4-4-4-1242-1002-2-2-100000220010-2000-1-100010
χ59444-2141-222111-20022200-1-1-200-1-1-10000000-4-4-42-1-4-12-2-2-1-1-1200-2-2-200112001110000000
χ60444-2141-2-2-2111-200-2-2-20011-2001110000000-4-4-42-1-4-1222-1-1-120022200-1-1200-1-1-10000000
χ61444-21-41-2221-1-1-2002-2-200-1-1200-1110000000-4-4-42-14-12-2-2-111200-2220011-2001-1-10000000
χ62444-21-41-2-2-21-1-1-200-22200112001-1-10000000-4-4-42-14-1222-1112002-2-200-1-1-200-1110000000
χ6344-4-2101-222-13-3200-22-200-1-10001-110000000-4-442-10-12-2-21-33-2002-220011000-11-10000000
χ6444-4-2101-222-1-33200-2-2200-1-100011-10000000-4-442-10-12-2-213-3-20022-20011000-1-110000000
χ6544-4-2101-2-2-2-13-32002-220011000-11-10000000-4-442-10-12221-33-200-22-200-1-10001-110000000
χ6644-4-2101-2-2-2-1-3320022-20011000-1-110000000-4-442-10-122213-3-200-2-2200-1-100011-10000000
χ674-40440-4-40000004-400000000000000000000-440-4-4044000000-4400000000000000000000
χ6888-82-40-4200400-20000000000000000000000-8-88-2404-200-40020000000000000000000000
χ698-802-404-20000000000022−2200000000−2200000-880-240-4200000000000−2222000000002−200000
χ708-802-404-200000000000−2222000000002−200000-880-240-420000000000022−2200000000−2200000
χ718-80-420-244i−4i00000000000−2i2i0000000000000-8804-202-4−4i4i000000000002i−2i0000000000000
χ728-80-420-24−4i4i000000000002i−2i0000000000000-8804-202-44i−4i00000000000−2i2i0000000000000

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