Finite Group Databasebeta

← Group #11895642

Character table — Group #11895642

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order1222334444666666346668888121212121212121212121212121212121212242424242424242424242424242424244444444488882244446612121212121244886121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11-11-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-11-11
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-11-11
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-1-11111-1-11-11-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-11-1-1-1-1-111111-1-1-111-1-1
χ10111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-11111-1-11
χ11111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-111-1-111-1111-111-1
χ12111111-1-1111111111-111111-1-11-1-11-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111-111111-1-1-1-11-1-1-1-1-111
χ13111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11-1-11-1-1-1-11111-11-1-1-1-111
χ14111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-11-111-1-111-1-11-111-111-1
χ15111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-11-11-1-111-1-1111-1111-1-11
χ16111111-1-1111111111-1111-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-111-11111-1-1-1-1-11-1-111-1-1
χ1722222222-2-22222222-22220000-222-222-2-2-2-2-2-2-2-222-2-2000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-22222222-22220000-222-222-2-2-2-2-2-2-2-222-2-200000000000000000000-2-2-2-200000000000000000022000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000022-2-2000000000000000000-22000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000-2-2220000000000000000002-2000000
χ2122222-122222-12-12-1-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000020220000-1-1-1-1000000-10-10
χ2222222-122222-12-12-1-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000-20-2-2000011110000001010
χ2322222-122222-12-12-1-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111220000000000-20-220000-1-1-1-10000001010
χ2422222-122222-12-12-1-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-1-2-2111111-2-2111111-2-20000000000202-200001111000000-10-10
χ2522222-1-2-2222-12-12-1-1-2-1-1-122-2-2211-1-2-2-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111122000000000020-2-2000011-1-1000000-1010
χ2622222-1-2-2222-12-12-1-1-2-1-1-122-2-2211-1-2-2-1-12-1-1-1-21111122-1-1-1-1-1-1-2-2111111-2-20000000000-20220000-1-11100000010-10
χ2722222-1-2-2222-12-12-1-1-2-1-1-1-2-222211-1-2-2-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-1220000000000-202-2000011-1-100000010-10
χ2822222-1-2-2222-12-12-1-1-2-1-1-1-2-222211-1-2-2-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-1-2-2000000000020-220000-1-111000000-1010
χ292222-122222-12-12-12-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1002200000000020022-1-10000-1-100000-10-1
χ302222-122222-12-12-12-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000000000-200-2-21100001100000101
χ312222-122222-12-12-12-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211110022000000000200-2-2-1-10000-1-100000101
χ322222-122222-12-12-12-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-2111100-2-2000000000-200221100001100000-10-1
χ332222-12-2-222-12-12-12-1-2-1-1-122-2-2-1-2-2211-1-1-12-1-11-21111-1-122-1-1-1-111-2-211110022000000000-2002-2110000-1-100000-101
χ342222-12-2-222-12-12-12-1-2-1-1-122-2-2-1-2-2211-1-1-12-1-11-21111-1-122-1-1-1-111-2-2111100-2-2000000000200-22-1-10000110000010-1
χ352222-12-2-222-12-12-12-1-2-1-1-1-2-222-1-2-2211-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-10022000000000-200-22110000-1-10000010-1
χ362222-12-2-222-12-12-12-1-2-1-1-1-2-222-1-2-2211-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-100-2-20000000002002-2-1-100001100000-101
χ3722-2-22200-222-2-2-2-22202-2-20000-200-200-2-2222200000000000000000000002-22i−2i00002i2i−2i−2i00000000002-22i−2i00000000
χ3822-2-22200-222-2-2-2-22202-2-20000-200-200-2-2222200000000000000000000002-2−2i2i0000−2i−2i2i2i00000000002-2−2i2i00000000
χ3922-2-22200-222-2-2-2-22202-2-20000-200-200-2-222220000000000000000000000-222i−2i0000−2i−2i2i2i0000000000-222i−2i00000000
χ4022-2-22200-222-2-2-2-22202-2-20000-200-200-2-222220000000000000000000000-22−2i2i00002i2i−2i−2i0000000000-22−2i2i00000000
χ412-22-2222i−2i00-2-222-2-220-22-2−i2i22−202i−2i02i−2i000000002i−2i00−i2i2−i2i2−i2−i2i2i22−22−222−2−200002i−2i2-22−22−20000000000000000−i2i20000
χ422-22-2222i−2i00-2-222-2-220-22-2−i2i22−202i−2i02i−2i000000002i−2i00−i2i2−i2i2−i2−i2i2i22−22−222−2−20000−2i2i-22−22−220000000000000000i2−i20000
χ432-22-2222i−2i00-2-222-2-220-22-2i2−i2−2202i−2i02i−2i000000002i−2i00i2−i2i2−i2i2i2−i2−i2−22−22−2−22200002i−2i2-2−22−220000000000000000i2−i20000
χ442-22-2222i−2i00-2-222-2-220-22-2i2−i2−2202i−2i02i−2i000000002i−2i00i2−i2i2−i2i2i2−i2−i2−22−22−2−2220000−2i2i-222−22−20000000000000000−i2i20000
χ452-22-222−2i2i00-2-222-2-220-22-2−i2i2−220−2i2i0−2i2i00000000−2i2i00−i2i2−i2i2−i2−i2i2i2−22−22−2−22200002i−2i-222−22−20000000000000000i2−i20000
χ462-22-222−2i2i00-2-222-2-220-22-2−i2i2−220−2i2i0−2i2i00000000−2i2i00−i2i2−i2i2−i2−i2i2i2−22−22−2−2220000−2i2i2-2−22−220000000000000000−i2i20000
χ472-22-222−2i2i00-2-222-2-220-22-2i2−i22−20−2i2i0−2i2i00000000−2i2i00i2−i2i2−i2i2i2−i2−i22−22−222−2−200002i−2i-22−22−220000000000000000−i2i20000
χ482-22-222−2i2i00-2-222-2-220-22-2i2−i22−20−2i2i0−2i2i00000000−2i2i00i2−i2i2−i2i2i2−i2−i22−22−222−2−20000−2i2i2-22−22−20000000000000000i2−i20000
χ4944444-244-4-44-24-24-2-2-4-2-2-20000-4-2-224422-4222-42-2-22200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-24-24-2-24-2-2-20000-4222-4-422-42224-222-2-200000000000000000000000000000000000000000000000000
χ514444-2444-4-4-24-24-24-2-4-2-2-20000244-4-2-2222-4222-4-2-22200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-24-24-24-24-2-2-200002-4-4-422222-422-2422-2-200000000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-411100002-2-22-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-411100002-2-22-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-411144-4-4-222-22211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111-4-444-222-22211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ6144-4-444004-44-4-4-4-44404-4-4000040040044-4-4-4-400000000000000000000000000000000000000000000000000000000
χ6244-4-44-2004-442-42-4-2-20-2220000400-200-2-2-422200000000000000000000000000000000000000000023−23000000000000
χ6344-4-44-2004-442-42-4-2-20-2220000400-200-2-2-4222000000000000000000000000000000000000000000−2323000000000000
χ6444-4-44-200-4442-42-4-2-20-2220000-400200224-2-2-200000000000000000000004-400000000000000000000-220000000000
χ6544-4-44-200-4442-42-4-2-20-2220000-400200224-2-2-20000000000000000000000-44000000000000000000002-20000000000
χ6644-4-4-24004-4-2-42-424-20-2220000-200400-2-22-4220000000000000000000000000000000000000000−2i32i300000000000000
χ6744-4-4-24004-4-2-42-424-20-2220000-200400-2-22-42200000000000000000000000000000000000000002i3−2i300000000000000
χ6844-4-4-2400-44-2-42-424-20-2220000200-40022-24-2-20000000000000000000000004i−4i00000000000000000000−2i2i00000000
χ6944-4-4-2400-44-2-42-424-20-2220000200-40022-24-2-2000000000000000000000000−4i4i000000000000000000002i−2i00000000
χ704-44-44-24i−4i00-424-2-42-202-22−2i22i222−220−2i2i04i−4i00000000−2i2i00−2i22i2i2−i2i2i2−i2−i222−22−22−2−2220000000000000000000000000000000000
χ714-44-44-24i−4i00-424-2-42-202-222i2−2i2−22220−2i2i04i−4i00000000−2i2i002i2−2i2−i2i2−i2−i2i2i2−22222−222−2−20000000000000000000000000000000000
χ724-44-44-2−4i4i00-424-2-42-202-22−2i22i2−222202i−2i0−4i4i000000002i−2i00−2i22i2i2−i2i2i2−i2−i2−22222−222−2−20000000000000000000000000000000000
χ734-44-44-2−4i4i00-424-2-42-202-222i2−2i222−2202i−2i0−4i4i000000002i−2i002i2−2i2−i2i2−i2−i2i2i222−22−22−2−2220000000000000000000000000000000000
χ744-44-4-244i−4i002-4-242-4-202-22−2i22i222−2204i−4i0−2i2i00000000−2i2i00i2−i2−2i22i2i2i2−i2−i2−2222−22−2−2220000000000000000000000000000000000
χ754-44-4-244i−4i002-4-242-4-202-222i2−2i2−222204i−4i0−2i2i00000000−2i2i00−i2i22i2−2i2−i2−i2i2i22−2−222222−2−20000000000000000000000000000000000
χ764-44-4-24−4i4i002-4-242-4-202-22−2i22i2−22220−4i4i02i−2i000000002i−2i00i2−i2−2i22i2i2i2−i2−i22−2−222222−2−20000000000000000000000000000000000
χ774-44-4-24−4i4i002-4-242-4-202-222i2−2i222−220−4i4i02i−2i000000002i−2i00−i2i22i2−2i2−i2−i2i2i2−2222−22−2−2220000000000000000000000000000000000
χ784-44-4-2-24i−4i0022-2-22210-11-1−2i22i222−220−2i2i0−2i2i3i−3i003i−3i00i−i3-3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ794-44-4-2-24i−4i0022-2-22210-11-1−2i22i222−220−2i2i0−2i2i−3i3i00−3i3i00i−i-33i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ804-44-4-2-24i−4i0022-2-22210-11-12i2−2i2−22220−2i2i0−2i2i3i−3i003i−3i00i−i3-3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ814-44-4-2-24i−4i0022-2-22210-11-12i2−2i2−22220−2i2i0−2i2i−3i3i00−3i3i00i−i-33−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ824-44-4-2-2−4i4i0022-2-22210-11-1−2i22i2−222202i−2i02i−2i3i−3i003i−3i00−ii-33i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ834-44-4-2-2−4i4i0022-2-22210-11-1−2i22i2−222202i−2i02i−2i−3i3i00−3i3i00−ii3-3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ844-44-4-2-2−4i4i0022-2-22210-11-12i2−2i222−2202i−2i02i−2i3i−3i003i−3i00−ii-33−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ854-44-4-2-2−4i4i0022-2-22210-11-12i2−2i222−2202i−2i02i−2i−3i3i00−3i3i00−ii3-3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ864-4-44440000-44-4-44-440-4-440000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ874-4-44440000-44-4-44-440-4-4400000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ8888-8-8-4-4008-8-44444-4202-2-20000-400-4002244-2-200000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-88-44444-4202-2-20000400400-2-2-4-42200000000000000000000000000000000000000000000000000000000
χ908-8-888-40000-8-4-8484-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480000484-8-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004-444-4420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400004-444-4420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000

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