Multiplicity-Free Endomorphism Rings

Data for ON

ON
n U rank degree permutation character PDF sources generators
1 L3(7).2 5 122760 1a + 10944a + 26752a + 32395a + 52668a PDF [PS97] 1, 2
2 L3(7) < L3(7).2 7 245520 1a + 10944a + 26752a + 32395a + 37696a + 52668a + 85064a PDF [Hoe01] 1, 2
3 L3(7).2 5 122760 1a + 10944a + 26752a + 32395b + 52668a PDF [PS97] 1, 2
4 L3(7) < L3(7).2 7 245520 1a + 10944a + 26752a + 32395b + 37696a + 52668a + 85064a PDF [Hoe01] 1, 2
ON.2
n U rank degree permutation character PDF sources generators
1 L3(7).2 < ON 9 245520 1a± + 10944a± + 26752a± + 32395ab + 52668a± PDF [Hoe01] 1, 2
2 L3(7) < ON 13 491040 1a± + 10944a± + 26752a± + 32395ab + 37696a± + 52668a± + 85064a± PDF [Hoe01] 1, 2
3.ON
n U rank degree permutation character PDF sources generators
1 L3(7):2 → (ON,1) 11 368280 1a + 495cd + 10944a + 26752a + 32395a + 52668a + 58653bc + 63612ab PDF [Linton] 1, 2
2 L3(7):2 → (ON,3) 11 368280 1a + 495ab + 10944a + 26752a + 32395b + 52668a + 58653bc + 63612ab PDF [Linton] 1, 2
3 L3(7) → (ON,2) 15 736560 1a + 495cd + 10944a + 26752a + 32395a + 37696a + 52668a + 58653bc + 63612ab + 85064a + 122760ab PDF [Linton] 1, 2
4 L3(7) → (ON,4) 15 736560 1a + 495ab + 10944a + 26752a + 32395b + 37696a + 52668a + 58653bc + 63612ab + 85064a + 122760ab PDF [Linton] 1, 2

[ATLAS page on ON]

File created automatically by GAP on 23-Jul-2009.