Finite Group Databasebeta

← Group #11780101

Character table — Group #11780101

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222224444444444444888888881212121216161616161616161624242424242424242424242424242424242424242424363636367272
order122233444466666634666121212121212121212121212121212122244412121212121212122466668888121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111-1-1111111111-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111-1-1111111111111-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ71111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ92222222-22-22222222-22222-222-2-22-2-2-222-2-2-2-20022000000000-2000-2-20000002200000000000000
χ102222222-22-22222222-22222-222-2-22-2-2-222-2-2-2-200-2-2000000000200022000000-2-200000000000000
χ11222222-22-222222222-2222-22-2-222-22-2-2-2-2-2-22222000000000000-222000000-2-20000000000000000
χ12222222-22-222222222-2222-22-2-222-22-2-2-2-2-2-222-2-20000000000002-2-2000000220000000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000000000000000000000000002-2
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000000-22
χ1522222-1222222-1-1-12-12-1-1-12-1-1-1222-12-1-1-1-1-1-1-122002-1-122-1-1-1-102-1-1002200-1-100-1-1-1-10000000000
χ1622222-1222222-1-1-12-12-1-1-12-1-1-1222-12-1-1-1-1-1-1-12200-211-2-2111102-1-100-2-200-1-10011110000000000
χ1722222-1222222-1-1-12-12-1-1-12-1-1-1222-12-1-1-1-1-1-1-1-2-2002-1-122-1-1-1-10-21100-2-200110011110000000000
χ1822222-1222222-1-1-12-12-1-1-12-1-1-1222-12-1-1-1-1-1-1-1-2-200-211-2-211110-2110022001100-1-1-1-10000000000
χ1922222-1-22-2222-1-1-12-1-2-1-1-1-2-11122-2-1-211111-1-122000−i3i300−i3−i3i3i30-2-1-10000001100−i3−i3i3i30000000000
χ2022222-1-22-2222-1-1-12-1-2-1-1-1-2-11122-2-1-211111-1-122000i3−i300i3i3−i3−i30-2-1-10000001100i3i3−i3−i30000000000
χ2122222-1-22-2222-1-1-12-1-2-1-1-1-2-11122-2-1-211111-1-1-2-2000−i3i300−i3−i3i3i30211000000-1-100i3i3−i3−i30000000000
χ2222222-1-22-2222-1-1-12-1-2-1-1-1-2-11122-2-1-211111-1-1-2-2000i3−i300i3i3−i3−i30211000000-1-100−i3−i3i3i30000000000
χ232222-122222-1-1222-1-12-1-1-1-1222-1-1-12-12-1-1-1-1-1-10022222-1-1-1-1-1-12000-1-1002200-1-10000-1-1-1-1000000
χ242222-122222-1-1222-1-12-1-1-1-1222-1-1-12-12-1-1-1-1-1-10022-2-2-21111112000-1-100-2-200-1-100001111000000
χ252222-122222-1-1222-1-12-1-1-1-1222-1-1-12-12-1-1-1-1-1-100-2-2222-1-1-1-1-1-1-20001100-2-2001100001111000000
χ262222-122222-1-1222-1-12-1-1-1-1222-1-1-12-12-1-1-1-1-1-100-2-2-2-2-2111111-200011002200110000-1-1-1-1000000
χ272222-122-22-2-1-1222-1-1-2-1-1-1-1-22211-1-21-2-1-111110022000−i3i3−i3i3−i3i3-200011000000-1-10000−i3−i3i3i3000000
χ282222-122-22-2-1-1222-1-1-2-1-1-1-1-22211-1-21-2-1-111110022000i3−i3i3−i3i3−i3-200011000000-1-10000i3i3−i3−i3000000
χ292222-122-22-2-1-1222-1-1-2-1-1-1-1-22211-1-21-2-1-1111100-2-2000−i3i3−i3i3−i3i32000-1-1000000110000i3i3−i3−i3000000
χ302222-122-22-2-1-1222-1-1-2-1-1-1-1-22211-1-21-2-1-1111100-2-2000i3−i3i3−i3i3−i32000-1-1000000110000−i3−i3i3i3000000
χ312-22-222-20202-2-2-22-2202-2-2-202-20020002-20000002i−2i000000000000000−i2i200002i−2i−i2i2−i2i2000022−2−200
χ322-22-222-20202-2-2-22-2202-2-2-202-20020002-20000002i−2i000000000000000i2−i200002i−2ii2−i2i2−i20000−2−22200
χ332-22-222-20202-2-2-22-2202-2-2-202-20020002-2000000−2i2i000000000000000−i2i20000−2i2i−i2i2−i2i20000−2−22200
χ342-22-222-20202-2-2-22-2202-2-2-202-20020002-2000000−2i2i000000000000000i2−i20000−2i2ii2−i2i2−i2000022−2−200
χ352-2-22220-202-2-2-22-2220-2-220-2002-2020000002-22-200000000000002-200002−2000000002−22−22−22−200
χ362-2-22220-202-2-2-22-2220-2-220-2002-2020000002-22-200000000000002-20000−2200000000−22−22−22−2200
χ372-2-22220-202-2-2-22-2220-2-220-2002-2020000002-2-220000000000000-2200002−2000000002−22−2−22−2200
χ382-2-22220-202-2-2-22-2220-2-220-2002-2020000002-2-220000000000000-220000−2200000000−22−222−22−200
χ3944444-24-44-444-2-2-24-2-4-2-2-242-2-2-4-442-42-2-2222200000000000000000000000000000000000000000
χ4044444-2-4-4-4-444-2-2-24-24-2-2-2-4222-4-4-424-222-2-22200000000000000000000000000000000000000000
χ414444-24-44-44-2-2444-2-2-4-2-2-224-4-4-2-2242-42222-2-200000000000000000000000000000000000000000
χ424444-24-4-4-4-4-2-2444-2-24-2-2-22-4-4-4222-4-2422-2-22200000000000000000000000000000000000000000
χ434444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-211111100004-2-2-2-211110000000000000000000000000000
χ444444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-21111110000-42222-1-1-1-10000000000000000000000000000
χ454444-2-24-44-4-2-2-2-2-2-21-4111-22-2-222-222211-1-1-1-10000000−2i32i3i3−i3i3−i30000000000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111-22-2-222-222211-1-1-1-100000002i3−2i3−i3i3−i3i30000000000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-41112-222-2-22-222-1-1-1-11100000−2i32i300i3i3−i3−i30000000000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-41112-222-2-22-222-1-1-1-111000002i3−2i300−i3−i3i3i30000000000000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-10000000003-3-330000000000000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-1000000000-333-30000000000000000000000000000
χ5144-4-4440000-444-4-4-440-44-40000000000000000000000000000000000000000000000000002-2-2200
χ5244-4-4440000-444-4-4-440-44-4000000000000000000000000000000000000000000000000000-222-200
χ534-44-44440-404-4-4-44-4404-4-440-4400-4000-44000000000000000000000000000000000000000000000
χ544-44-44-240-404-422-2-4-20-222402-200-40002-200000000000000000000000000000006−6−660000000000
χ554-44-44-240-404-422-2-4-20-222402-200-40002-20000000000000000000000000000000−666−60000000000
χ564-44-44-2-40404-422-2-4-20-222-40-22004000-2200000000000000000000000−2i22i2000000i2−i2i2−i20000000000
χ574-44-44-2-40404-422-2-4-20-222-40-22004000-22000000000000000000000002i2−2i2000000−i2i2−i2i20000000000
χ584-44-4-2440-40-22-4-442-20-222-20-440020002-2000000000000000000000−2i32i30000000000000000000000
χ594-44-4-2440-40-22-4-442-20-222-20-440020002-20000000000000000000002i3−2i30000000000000000000000
χ604-44-4-24-4040-22-4-442-20-222204-400-2000-220000004i−4i000000000000000000000−2i2i00000000000000
χ614-44-4-24-4040-22-4-442-20-222204-400-2000-22000000−4i4i0000000000000000000002i−2i00000000000000
χ624-4-4444040-4-4-4-44-4440-4-440400-440-4000000-4400000000000000000000000000000000000000000
χ634-4-444-2040-4-4-42-224-2022-20-200-44020000002-20000000000000000000000023−230000000000000000
χ644-4-444-2040-4-4-42-224-2022-20-200-44020000002-200000000000000000000000−23230000000000000000
χ654-4-444-20-404-4-42-224-2022-202004-40-2000000-224-40000000000000-22000000000000000000000000
χ664-4-444-20-404-4-42-224-2022-202004-40-2000000-22-4400000000000002-2000000000000000000000000
χ674-4-44-24040-422-44-4-2-2022-204002-20-40000002-20000000000000000000000000000000i6−i6−i6i6000000
χ684-4-44-24040-422-44-4-2-2022-204002-20-40000002-20000000000000000000000000000000−i6i6i6−i6000000
χ694-4-44-240-40422-44-4-2-2022-20-400-2204000000-2200000000000000000000022−2200000000−22−22000000
χ704-4-44-240-40422-44-4-2-2022-20-400-2204000000-22000000000000000000000−2222000000002−22−2000000
χ7188-8-88-40000-88-444-8-404-44000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4800004-48-8-84-404-44000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-400004-4-444420-22-20000000000006-60000000000000000000000000000000000000000000
χ7488-8-8-4-400004-4-444420-22-2000000000000-660000000000000000000000000000000000000000000
χ758-88-8-4-480-80-4444-44202-2-2-404-4004000-22000000000000000000000000000000000000000000000
χ768-88-8-4-4-8080-4444-44202-2-240-4400-40002-2000000000000000000000000000000000000000000000
χ778-8-88-4-4080-8444-44-420-2-220-4004-404000000-2200000000000000000000000000000000000000000
χ788-8-88-4-40-808444-44-420-2-220400-440-40000002-200000000000000000000000000000000000000000

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